Vampire---5.0.1.THM-Ref.s

%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : ITP208_3 : TPTP v9.3.1. Bugfixed v9.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM

% Computer : n013.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Tue Sep 29 11:30:04 AM UTC 2026

% Result   : Theorem 6.11s 3.14s
% Output   : Refutation 13.18s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   15
%            Number of leaves      :   12
% Syntax   : Number of formulae    :   60 (  21 unt;   0 typ;   4 def)
%            Number of atoms       :  137 (  59 equ)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :  142 (  65   ~;  61   |;   0   &)
%                                         (   4 <=>;  12  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   12 (   5 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of types       :  237 ( 236 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of predicates  :  536 ( 534 usr;   6 prp; 0-6 aty)
%            Number of functors    : 1592 (1592 usr; 387 con; 0-8 aty)
%            Number of variables   :  143 (   0 sgn 143   !;   0   ?; 143   :)

% Comments : 
%------------------------------------------------------------------------------
tff(type_def_5,type,
    produc1319942482725812455at_nat: $tType ).

tff(type_def_6,type,
    fun_fu3373238862511017284_nat_o: $tType ).

tff(type_def_7,type,
    fun_fu5323616038969315652_int_o: $tType ).

tff(type_def_8,type,
    fun_fu4800041728187187127nteger: $tType ).

tff(type_def_9,type,
    fun_he5234484606919320760it_nat: $tType ).

tff(type_def_10,type,
    fun_Co1561183069634336733nteger: $tType ).

tff(type_def_11,type,
    fun_Pr3592279944642289454ural_o: $tType ).

tff(type_def_12,type,
    fun_Pr2477239776880934807at_nat: $tType ).

tff(type_def_13,type,
    fun_Pr1308109350235310159nt_int: $tType ).

tff(type_def_14,type,
    set_Pr4329608150637261639at_nat: $tType ).

tff(type_def_15,type,
    fun_Pr5876161306168176259nteger: $tType ).

tff(type_def_16,type,
    fun_fu4638078822479986034_int_o: $tType ).

tff(type_def_17,type,
    fun_fu4306744791715064858_rat_o: $tType ).

tff(type_def_18,type,
    fun_fu6699046866436802030_int_o: $tType ).

tff(type_def_19,type,
    option8956607266484857688it_nat: $tType ).

tff(type_def_20,type,
    produc3843707927480180839at_nat: $tType ).

tff(type_def_21,type,
    fun_fu3064074204415222357nt_int: $tType ).

tff(type_def_22,type,
    fun_fu1098312133097393581at_rat: $tType ).

tff(type_def_23,type,
    fun_na1668100129766719005at_nat: $tType ).

tff(type_def_24,type,
    fun_fu9045186299510176150at_o_o: $tType ).

tff(type_def_25,type,
    fun_Co2470855966376689427nteger: $tType ).

tff(type_def_26,type,
    list_P8469869581646625389at_nat: $tType ).

tff(type_def_27,type,
    set_Pr8693737435421807431at_nat: $tType ).

tff(type_def_28,type,
    produc8664842809031399944it_nat: $tType ).

tff(type_def_29,type,
    fun_na8713714802964096592at_nat: $tType ).

tff(type_def_30,type,
    produc5835291356934675326atural: $tType ).

tff(type_def_31,type,
    fun_fu7677565902479959693_rat_o: $tType ).

tff(type_def_32,type,
    fun_Co3544761417380347684eger_o: $tType ).

tff(type_def_33,type,
    produc859450856879609959at_nat: $tType ).

tff(type_def_34,type,
    fun_fu8391177546919232046_nat_o: $tType ).

tff(type_def_35,type,
    fun_fu7503566767892366382_int_o: $tType ).

tff(type_def_36,type,
    fun_Pr2028404973800837934_nat_o: $tType ).

tff(type_def_37,type,
    fun_Pr9018117161326028078_int_o: $tType ).

tff(type_def_38,type,
    fun_fu2034268335391280352ural_o: $tType ).

tff(type_def_39,type,
    fun_fu726873822431485118eger_o: $tType ).

tff(type_def_40,type,
    fun_fu7460908759652350970nt_rat: $tType ).

tff(type_def_41,type,
    fun_na4143055713577223196at_nat: $tType ).

tff(type_def_42,type,
    fun_in2204242111582549184nt_int: $tType ).

tff(type_def_43,type,
    fun_Co6597186368970283863nteger: $tType ).

tff(type_def_44,type,
    fun_fu9090758901314268781nt_o_o: $tType ).

tff(type_def_45,type,
    fun_Pr2118491707810114563at_nat: $tType ).

tff(type_def_46,type,
    fun_Pr2478283820680522243nt_int: $tType ).

tff(type_def_47,type,
    fun_na5914473681949881652_nat_o: $tType ).

tff(type_def_48,type,
    fun_fu6924846375782198887atural: $tType ).

tff(type_def_49,type,
    fun_fu6921880696561781257nteger: $tType ).

tff(type_def_50,type,
    fun_fu6196024946523381971eger_o: $tType ).

tff(type_def_51,type,
    fun_fu7075445697382584196_int_o: $tType ).

tff(type_def_52,type,
    fun_Co6813818151677833714atural: $tType ).

tff(type_def_53,type,
    fun_Co1981900195452921617nteger: $tType ).

tff(type_def_54,type,
    fun_na4138050610385705875at_nat: $tType ).

tff(type_def_55,type,
    fun_in1696471567231710611nt_int: $tType ).

tff(type_def_56,type,
    fun_Co1766037875893669450eger_o: $tType ).

tff(type_def_57,type,
    fun_fu3380082687118895412nteger: $tType ).

tff(type_def_58,type,
    produc6653097349344004940it_nat: $tType ).

tff(type_def_59,type,
    fun_fu5908277796454533188_int_o: $tType ).

tff(type_def_60,type,
    fun_fu9201817095025044880_nat_o: $tType ).

tff(type_def_61,type,
    fun_fu4208408993564413984_int_o: $tType ).

tff(type_def_62,type,
    fun_fu1622112948621879430al_o_o: $tType ).

tff(type_def_63,type,
    fun_fu4168831735773172575er_o_o: $tType ).

tff(type_def_64,type,
    fun_se9142667792015812128at_int: $tType ).

tff(type_def_65,type,
    fun_in8804710076054006414at_nat: $tType ).

tff(type_def_66,type,
    fun_Pr4738963024209204295_int_o: $tType ).

tff(type_def_67,type,
    fun_Pr7537129237977221859_rat_o: $tType ).

tff(type_def_68,type,
    fun_na3970208099681795815_nat_o: $tType ).

tff(type_def_69,type,
    fun_na607345901702507418atural: $tType ).

tff(type_def_70,type,
    fun_na7078387940644931716nteger: $tType ).

tff(type_def_71,type,
    fun_Co8521658056209057742er_num: $tType ).

tff(type_def_72,type,
    fun_Co3583066429914935172er_nat: $tType ).

tff(type_def_73,type,
    fun_Co1092983284983208416er_int: $tType ).

tff(type_def_74,type,
    fun_li1025265955262268170_nat_o: $tType ).

tff(type_def_75,type,
    set_se7855581050983116737at_nat: $tType ).

tff(type_def_76,type,
    produc7822875418678951345atural: $tType ).

tff(type_def_77,type,
    produc8923325533196201883nteger: $tType ).

tff(type_def_78,type,
    fun_ty25169735533777662st_nat: $tType ).

tff(type_def_79,type,
    fun_se4782206882984618170_nat_o: $tType ).

tff(type_def_80,type,
    fun_na3244735409550470327at_nat: $tType ).

tff(type_def_81,type,
    fun_fu2916398056546941156ural_o: $tType ).

tff(type_def_82,type,
    fun_fu1769128043447206010eger_o: $tType ).

tff(type_def_83,type,
    fun_Co7302518231560758906ural_o: $tType ).

tff(type_def_84,type,
    fun_Co2081214437782444048eger_o: $tType ).

tff(type_def_85,type,
    fun_fu7564235448449272366at_o_o: $tType ).

tff(type_def_86,type,
    fun_fu6971708032831053102nt_o_o: $tType ).

tff(type_def_87,type,
    fun_he1033112309995878576it_nat: $tType ).

tff(type_def_88,type,
    fun_ra4503298312962071866nt_int: $tType ).

tff(type_def_89,type,
    fun_Pr2602117396471556196at_nat: $tType ).

tff(type_def_90,type,
    fun_Pr7647638413817135296at_int: $tType ).

tff(type_def_91,type,
    fun_Pr1652463973008025892nt_rat: $tType ).

tff(type_def_92,type,
    fun_na1476630412504255114at_nat: $tType ).

tff(type_def_93,type,
    fun_in4514472496968388910at_nat: $tType ).

tff(type_def_94,type,
    fun_in4211310926729683942nt_int: $tType ).

tff(type_def_95,type,
    fun_na819858167508000762st_nat: $tType ).

tff(type_def_96,type,
    fun_nu2537414170016844299nteger: $tType ).

tff(type_def_97,type,
    fun_na7928631014926962227_nat_o: $tType ).

tff(type_def_98,type,
    fun_in5570076352459579423_int_o: $tType ).

tff(type_def_99,type,
    fun_Su884838341992399436at_nat: $tType ).

tff(type_def_100,type,
    fun_na3635074868517587788at_nat: $tType ).

tff(type_def_101,type,
    list_P6011104703257516679at_nat: $tType ).

tff(type_def_102,type,
    list_P3521021558325789923at_int: $tType ).

tff(type_def_103,type,
    list_P8198026277950538467nt_nat: $tType ).

tff(type_def_104,type,
    list_P5707943133018811711nt_int: $tType ).

tff(type_def_105,type,
    set_Pr1261947904930325089at_nat: $tType ).

tff(type_def_106,type,
    set_Pr958786334691620121nt_int: $tType ).

tff(type_def_107,type,
    fun_Pr4796943543331071514_nat_o: $tType ).

tff(type_def_108,type,
    fun_Pr3238374608701176162_int_o: $tType ).

tff(type_def_109,type,
    fun_na7234455742697417626_nat_o: $tType ).

tff(type_def_110,type,
    fun_ty5154387363802369006at_nat: $tType ).

tff(type_def_111,type,
    fun_Co7398788559141407565atural: $tType ).

tff(type_def_112,type,
    fun_Co2940338738630218498nteger: $tType ).

tff(type_def_113,type,
    fun_Co3734316457315071362atural: $tType ).

tff(type_def_114,type,
    fun_Co8499238673658658103nteger: $tType ).

tff(type_def_115,type,
    fun_na8563630686737515764_nat_o: $tType ).

tff(type_def_116,type,
    fun_na2240068485812228818ural_o: $tType ).

tff(type_def_117,type,
    fun_in4891666191172872833eger_o: $tType ).

tff(type_def_118,type,
    fun_Co196715998180962002_nat_o: $tType ).

tff(type_def_119,type,
    fun_Co1375048237525739357_nat_o: $tType ).

tff(type_def_120,type,
    fun_fu4001317426178549763_nat_o: $tType ).

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

tff(type_def_122,type,
    list_P7333126701944960589_nat_o: $tType ).

tff(type_def_123,type,
    list_P5087981734274514673_int_o: $tType ).

tff(type_def_124,type,
    list_P6285523579766656935_o_nat: $tType ).

tff(type_def_125,type,
    list_P3795440434834930179_o_int: $tType ).

tff(type_def_126,type,
    produc6271795597528267376eger_o: $tType ).

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

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

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

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

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

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

tff(type_def_133,type,
    heap_T5738788834812785303t_unit: $tType ).

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

tff(type_def_135,type,
    heap_e7401611519738050253t_unit: $tType ).

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

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

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

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

tff(type_def_140,type,
    list_P4002435161011370285od_o_o: $tType ).

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

tff(func_def_0,type,
    aTP_Lamm_a: set_Pr1261947904930325089at_nat > fun_Pr4796943543331071514_nat_o ).

tff(func_def_1,type,
    aTP_Lamm_aa: set_list_nat > fun_list_nat_o ).

tff(func_def_2,type,
    aTP_Lamm_ab: set_se7855581050983116737at_nat > fun_se4782206882984618170_nat_o ).

tff(func_def_3,type,
    aTP_Lamm_ac: set_set_nat > fun_set_nat_o ).

tff(func_def_4,type,
    aTP_Lamm_ad: set_nat > fun_nat_o ).

tff(func_def_5,type,
    aTP_Lamm_ae: set_int > fun_int_o ).

tff(func_def_6,type,
    aTP_Lamm_af: fun_nat_fun_nat_o ).

tff(func_def_7,type,
    aTP_Lamm_ag: fun_nat_fun_nat_o ).

tff(func_def_8,type,
    aTP_Lamm_ah: int > fun_int_fun_int_o ).

tff(func_def_9,type,
    aTP_Lamm_ai: int > fun_int_fun_int_o ).

tff(func_def_10,type,
    aTP_Lamm_aj: int > fun_int_fun_int_o ).

tff(func_def_11,type,
    aTP_Lamm_ak: int > fun_int_fun_int_o ).

tff(func_def_12,type,
    aTP_Lamm_al: fun_int_int ).

tff(func_def_13,type,
    aTP_Lamm_am: fun_nat_nat > fun_nat_fun_nat_o ).

tff(func_def_14,type,
    aTP_Lamm_an: fun_nat_o > fun_nat_fun_nat_o ).

tff(func_def_15,type,
    aTP_Lamm_ao: fun_int_fun_int_o ).

tff(func_def_16,type,
    aTP_Lamm_ap: fun_nat_fun_nat_nat ).

tff(func_def_17,type,
    aTP_Lamm_aq: nat > fun_na7234455742697417626_nat_o ).

tff(func_def_18,type,
    aTP_Lamm_ar: nat > fun_na7234455742697417626_nat_o ).

tff(func_def_19,type,
    aTP_Lamm_as: nat > fun_na7234455742697417626_nat_o ).

tff(func_def_20,type,
    aTP_Lamm_at: fun_nat_fun_nat_o ).

tff(func_def_21,type,
    aTP_Lamm_au: set_nat > fun_nat_fun_nat_o ).

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

tff(func_def_23,type,
    aTP_Lamm_aw: int > fun_int_int ).

tff(func_def_24,type,
    aTP_Lamm_ax: fun_nat_fun_nat_nat ).

tff(func_def_25,type,
    aTP_Lamm_ay: fun_nat_nat ).

tff(func_def_26,type,
    aTP_Lamm_az: fun_nat_nat ).

tff(func_def_27,type,
    aTP_Lamm_ba: fun_nat_fun_nat_o ).

tff(func_def_28,type,
    aTP_Lamm_bb: fun_nat_fun_nat_nat ).

tff(func_def_29,type,
    aTP_Lamm_bc: code_integer > fun_Co3544761417380347684eger_o ).

tff(func_def_30,type,
    aTP_Lamm_bd: fun_nat_fun_nat_nat ).

tff(func_def_31,type,
    aTP_Lamm_be: fun_nat_fun_nat_nat ).

tff(func_def_32,type,
    aTP_Lamm_bf: fun_nat_fun_nat_nat ).

tff(func_def_33,type,
    aTP_Lamm_bg: nat > fun_nat_fun_nat_nat ).

tff(func_def_34,type,
    aTP_Lamm_bh: nat > fun_na3244735409550470327at_nat ).

tff(func_def_35,type,
    aTP_Lamm_bi: nat > fun_na3244735409550470327at_nat ).

tff(func_def_36,type,
    aTP_Lamm_bj: fun_nat_fun_nat_nat ).

tff(func_def_37,type,
    aTP_Lamm_bk: nat > fun_nat_fun_nat_nat ).

tff(func_def_38,type,
    aTP_Lamm_bl: fun_nat_fun_nat_nat ).

tff(func_def_39,type,
    aTP_Lamm_bm: fun_Co3583066429914935172er_nat ).

tff(func_def_40,type,
    aTP_Lamm_bn: fun_nat_fun_nat_nat ).

tff(func_def_41,type,
    aTP_Lamm_bo: int > fun_in5570076352459579423_int_o ).

tff(func_def_42,type,
    aTP_Lamm_bp: rat > fun_int_fun_int_o ).

tff(func_def_43,type,
    aTP_Lamm_bq: int > fun_in5570076352459579423_int_o ).

tff(func_def_44,type,
    aTP_Lamm_br: rat > fun_int_fun_int_o ).

tff(func_def_45,type,
    aTP_Lamm_bs: fun_in1696471567231710611nt_int ).

tff(func_def_46,type,
    aTP_Lamm_bt: fun_int_fun_int_int ).

tff(func_def_47,type,
    aTP_Lamm_bu: int > fun_in2204242111582549184nt_int ).

tff(func_def_48,type,
    aTP_Lamm_bv: rat > fun_in1696471567231710611nt_int ).

tff(func_def_49,type,
    aTP_Lamm_bw: int > fun_in2204242111582549184nt_int ).

tff(func_def_50,type,
    aTP_Lamm_bx: rat > fun_in1696471567231710611nt_int ).

tff(func_def_51,type,
    aTP_Lamm_by: int > fun_in2204242111582549184nt_int ).

tff(func_def_52,type,
    aTP_Lamm_bz: rat > fun_in1696471567231710611nt_int ).

tff(func_def_53,type,
    aTP_Lamm_ca: int > fun_in2204242111582549184nt_int ).

tff(func_def_54,type,
    aTP_Lamm_cb: rat > fun_in1696471567231710611nt_int ).

tff(func_def_55,type,
    aTP_Lamm_cc: num > fun_na4138050610385705875at_nat ).

tff(func_def_56,type,
    aTP_Lamm_cd: fun_in1696471567231710611nt_int ).

tff(func_def_57,type,
    aTP_Lamm_ce: num > fun_in1696471567231710611nt_int ).

tff(func_def_58,type,
    aTP_Lamm_cf: num > fun_Co2470855966376689427nteger ).

tff(func_def_59,type,
    aTP_Lamm_cg: fun_Co8521658056209057742er_num ).

tff(func_def_60,type,
    aTP_Lamm_ch: fun_na4138050610385705875at_nat ).

tff(func_def_61,type,
    aTP_Lamm_ci: int > fun_int_fun_int_o ).

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

tff(func_def_63,type,
    aTP_Lamm_ck: code_integer > fun_Co2470855966376689427nteger ).

tff(func_def_64,type,
    aTP_Lamm_cl: code_integer > fun_Co2470855966376689427nteger ).

tff(func_def_65,type,
    aTP_Lamm_cm: fun_Co1092983284983208416er_int ).

tff(func_def_66,type,
    aTP_Lamm_cn: fun_Pr2478283820680522243nt_int ).

tff(func_def_67,type,
    aTP_Lamm_co: fun_Pr2478283820680522243nt_int ).

tff(func_def_68,type,
    aTP_Lamm_cp: fun_Pr1308109350235310159nt_int ).

tff(func_def_69,type,
    aTP_Lamm_cq: fun_Pr1308109350235310159nt_int ).

tff(func_def_70,type,
    aTP_Lamm_cr: fun_nat_fun_nat_nat ).

tff(func_def_71,type,
    aTP_Lamm_cs: code_integer > fun_Co2470855966376689427nteger ).

tff(func_def_72,type,
    aTP_Lamm_ct: fun_nat_o ).

tff(func_def_73,type,
    aTP_Lamm_cu: fun_nat_o ).

tff(func_def_74,type,
    aTP_Lamm_cv: fun_nat_fun_nat_nat ).

tff(func_def_75,type,
    aTP_Lamm_cw: fun_nat_fun_nat_nat ).

tff(func_def_76,type,
    aTP_Lamm_cx: fun_nat_fun_nat_nat ).

tff(func_def_77,type,
    aTP_Lamm_cy: fun_nat_fun_nat_nat ).

tff(func_def_78,type,
    aTP_Lamm_cz: nat > fun_na4143055713577223196at_nat ).

tff(func_def_79,type,
    aTP_Lamm_da: fun_na1668100129766719005at_nat ).

tff(func_def_80,type,
    aTP_Lamm_db: fun_na4138050610385705875at_nat ).

tff(func_def_81,type,
    aTP_Lamm_dc: fun_nat_fun_nat_o ).

tff(func_def_82,type,
    aTP_Lamm_dd: nat > fun_na7928631014926962227_nat_o ).

tff(func_def_83,type,
    aTP_Lamm_de: fun_na5914473681949881652_nat_o ).

tff(func_def_84,type,
    aTP_Lamm_df: nat > fun_na7928631014926962227_nat_o ).

tff(func_def_85,type,
    aTP_Lamm_dg: fun_na5914473681949881652_nat_o ).

tff(func_def_86,type,
    aTP_Lamm_dh: nat > fun_na4143055713577223196at_nat ).

tff(func_def_87,type,
    aTP_Lamm_di: fun_na1668100129766719005at_nat ).

tff(func_def_88,type,
    aTP_Lamm_dj: nat > fun_na4143055713577223196at_nat ).

tff(func_def_89,type,
    aTP_Lamm_dk: fun_na1668100129766719005at_nat ).

tff(func_def_90,type,
    aTP_Lamm_dl: num > fun_num_int ).

tff(func_def_91,type,
    aTP_Lamm_dm: fun_Pr3238374608701176162_int_o ).

tff(func_def_92,type,
    aTP_Lamm_dn: nat > fun_nat_fun_nat_o ).

tff(func_def_93,type,
    aTP_Lamm_do: nat > fun_nat_fun_nat_o ).

tff(func_def_94,type,
    aTP_Lamm_dp: fun_nat_set_nat ).

tff(func_def_95,type,
    aTP_Lamm_dq: int > fun_int_fun_int_o ).

tff(func_def_96,type,
    aTP_Lamm_dr: fun_int_int ).

tff(func_def_97,type,
    aTP_Lamm_ds: fun_num_fun_num_int ).

tff(func_def_98,type,
    aTP_Lamm_dt: fun_in1696471567231710611nt_int ).

tff(func_def_99,type,
    aTP_Lamm_du: fun_na1476630412504255114at_nat ).

tff(func_def_100,type,
    aTP_Lamm_dv: nat > fun_na7928631014926962227_nat_o ).

tff(func_def_101,type,
    aTP_Lamm_dw: fun_na5914473681949881652_nat_o ).

tff(func_def_102,type,
    aTP_Lamm_dx: fun_num_option_num ).

tff(func_def_103,type,
    aTP_Lamm_dy: fun_nat_fun_nat_o ).

tff(func_def_104,type,
    aTP_Lamm_dz: rat > fun_int_o ).

tff(func_def_105,type,
    aTP_Lamm_ea: rat > fun_Pr3238374608701176162_int_o ).

tff(func_def_106,type,
    aTP_Lamm_eb: fun_na819858167508000762st_nat ).

tff(func_def_107,type,
    aTP_Lamm_ec: set_int > fun_int_o ).

tff(func_def_108,type,
    aTP_Lamm_ed: nat > fun_na8563630686737515764_nat_o ).

tff(func_def_109,type,
    aTP_Lamm_ee: fun_nat_o > fun_nat_o ).

tff(func_def_110,type,
    aTP_Lamm_ef: nat > fun_nat_set_nat ).

tff(func_def_111,type,
    aTP_Lamm_eg: nat > fun_nat_fun_nat_o ).

tff(func_def_112,type,
    aTP_Lamm_eh: nat > fun_nat_set_nat ).

tff(func_def_113,type,
    aTP_Lamm_ei: nat > fun_he5234484606919320760it_nat ).

tff(func_def_114,type,
    aTP_Lamm_ej: fun_ty25169735533777662st_nat ).

tff(func_def_115,type,
    aTP_Lamm_ek: fun_ty5154387363802369006at_nat ).

tff(func_def_116,type,
    aTP_Lamm_el: fun_nat_nat ).

tff(func_def_117,type,
    aTP_Lamm_em: fun_nat_int ).

tff(func_def_118,type,
    aTP_Lamm_en: fun_se4782206882984618170_nat_o ).

tff(func_def_119,type,
    archim2889992004027027881ng_rat: fun_rat_int ).

tff(func_def_120,type,
    archim3151403230148437115or_rat: fun_rat_int ).

tff(func_def_121,type,
    archimedean_frac_rat: fun_rat_rat ).

tff(func_def_122,type,
    archim7778729529865785530nd_rat: fun_rat_int ).

tff(func_def_123,type,
    array_get_o: ( heap_e7401611519738050253t_unit * array_o ) > list_o ).

tff(func_def_124,type,
    array_get_int: ( heap_e7401611519738050253t_unit * array_int ) > list_int ).

tff(func_def_125,type,
    array_get_nat: ( heap_e7401611519738050253t_unit * array_nat ) > list_nat ).

tff(func_def_126,type,
    array_get_a: ( heap_e7401611519738050253t_unit * array_a ) > list_a ).

tff(func_def_127,type,
    array_len_a: array_a > heap_Time_Heap_nat ).

tff(func_def_128,type,
    array_length_o: ( heap_e7401611519738050253t_unit * array_o ) > nat ).

tff(func_def_129,type,
    array_length_int: ( heap_e7401611519738050253t_unit * array_int ) > nat ).

tff(func_def_130,type,
    array_length_nat: ( heap_e7401611519738050253t_unit * array_nat ) > nat ).

tff(func_def_131,type,
    array_length_a: ( heap_e7401611519738050253t_unit * array_a ) > nat ).

tff(func_def_132,type,
    array_update_int: ( array_int * nat * int * heap_e7401611519738050253t_unit ) > heap_e7401611519738050253t_unit ).

tff(func_def_133,type,
    array_update_nat: ( array_nat * nat * nat * heap_e7401611519738050253t_unit ) > heap_e7401611519738050253t_unit ).

tff(func_def_134,type,
    bNF_Ca8665028551170535155natLeq: set_Pr1261947904930325089at_nat ).

tff(func_def_135,type,
    bNF_Ca8459412986667044542atLess: set_Pr1261947904930325089at_nat ).

tff(func_def_136,type,
    bNF_re6574881592172037608er_o_o: ( fun_in4891666191172872833eger_o * fun_o_fun_o_o ) > fun_fu4168831735773172575er_o_o ).

tff(func_def_137,type,
    bNF_re3379532845092657523nteger: ( fun_in4891666191172872833eger_o * fun_in4891666191172872833eger_o ) > fun_fu726873822431485118eger_o ).

tff(func_def_138,type,
    bNF_re5089333283451836215nt_o_o: ( fun_int_fun_int_o * fun_o_fun_o_o ) > fun_fu6971708032831053102nt_o_o ).

tff(func_def_139,type,
    bNF_re4712519889275205905nt_int: ( fun_int_fun_int_o * fun_int_fun_int_o ) > fun_fu4208408993564413984_int_o ).

tff(func_def_140,type,
    bNF_re6250860962936578807nt_int: ( fun_int_fun_int_o * fun_Pr9018117161326028078_int_o ) > fun_fu6699046866436802030_int_o ).

tff(func_def_141,type,
    bNF_re2214769303045360666nt_rat: ( fun_int_fun_int_o * fun_Pr7537129237977221859_rat_o ) > fun_fu7677565902479959693_rat_o ).

tff(func_def_142,type,
    bNF_re2785088596696291543al_o_o: ( fun_na2240068485812228818ural_o * fun_o_fun_o_o ) > fun_fu1622112948621879430al_o_o ).

tff(func_def_143,type,
    bNF_re3704215830270325841atural: ( fun_na2240068485812228818ural_o * fun_na2240068485812228818ural_o ) > fun_fu2034268335391280352ural_o ).

tff(func_def_144,type,
    bNF_re4705727531993890431at_o_o: ( fun_nat_fun_nat_o * fun_o_fun_o_o ) > fun_fu7564235448449272366at_o_o ).

tff(func_def_145,type,
    bNF_re5653821019739307937at_nat: ( fun_nat_fun_nat_o * fun_nat_fun_nat_o ) > fun_fu9201817095025044880_nat_o ).

tff(func_def_146,type,
    bNF_re6501075790457514782nteger: ( fun_num_fun_num_o * fun_in4891666191172872833eger_o ) > fun_fu6196024946523381971eger_o ).

tff(func_def_147,type,
    bNF_re1822329894187522285nt_int: ( fun_num_fun_num_o * fun_int_fun_int_o ) > fun_fu5908277796454533188_int_o ).

tff(func_def_148,type,
    bNF_re7145576690424134365nt_int: ( fun_Pr9018117161326028078_int_o * fun_Pr9018117161326028078_int_o ) > fun_fu5323616038969315652_int_o ).

tff(func_def_149,type,
    bNF_re8279943556446156061nt_rat: ( fun_Pr7537129237977221859_rat_o * fun_Pr7537129237977221859_rat_o ) > fun_fu4306744791715064858_rat_o ).

tff(func_def_150,type,
    bNF_re6644619430987730960nt_o_o: ( fun_Pr4738963024209204295_int_o * fun_o_fun_o_o ) > fun_fu9090758901314268781nt_o_o ).

tff(func_def_151,type,
    bNF_re7400052026677387805at_int: ( fun_Pr4738963024209204295_int_o * fun_Pr4738963024209204295_int_o ) > fun_fu4638078822479986034_int_o ).

tff(func_def_152,type,
    bNF_re3666534408544137501at_o_o: ( fun_Pr2028404973800837934_nat_o * fun_o_fun_o_o ) > fun_fu9045186299510176150at_o_o ).

tff(func_def_153,type,
    bNF_re2241393799969408733at_nat: ( fun_Pr2028404973800837934_nat_o * fun_Pr2028404973800837934_nat_o ) > fun_fu3373238862511017284_nat_o ).

tff(func_def_154,type,
    bNF_We3818239936649020644el_nat: fun_se4782206882984618170_nat_o ).

tff(func_def_155,type,
    basic_570253317919918037at_nat: ( fun_nat_o * fun_nat_o ) > fun_Pr4796943543331071514_nat_o ).

tff(func_def_156,type,
    binomial: fun_nat_fun_nat_nat ).

tff(func_def_157,type,
    gbinom8545251970709558553nteger: code_integer > fun_nat_Code_integer ).

tff(func_def_158,type,
    gbinom7368847122466276068atural: ( code_natural * nat ) > code_natural ).

tff(func_def_159,type,
    gbinomial_int: int > fun_nat_int ).

tff(func_def_160,type,
    gbinomial_nat: fun_nat_fun_nat_nat ).

tff(func_def_161,type,
    gbinomial_rat: rat > fun_nat_rat ).

tff(func_def_162,type,
    bit_and_int_rel: fun_Pr9018117161326028078_int_o ).

tff(func_def_163,type,
    bit_and_not_num: ( num * num ) > option_num ).

tff(func_def_164,type,
    bit_concat_bit: ( nat * int ) > fun_int_int ).

tff(func_def_165,type,
    bit_or_not_num_neg: num > fun_num_num ).

tff(func_def_166,type,
    bit_ri7632146776885996613nteger: fun_Co8499238673658658103nteger ).

tff(func_def_167,type,
    bit_ri7919022796975470100ot_int: fun_int_int ).

tff(func_def_168,type,
    bit_ri6519982836138164636nteger: nat > fun_Co8499238673658658103nteger ).

tff(func_def_169,type,
    bit_ri631733984087533419it_int: nat > fun_int_int ).

tff(func_def_170,type,
    bit_se3949692690581998587nteger: fun_Co1981900195452921617nteger ).

tff(func_def_171,type,
    bit_se2773287842338716102atural: fun_Co6813818151677833714atural ).

tff(func_def_172,type,
    bit_se725231765392027082nd_int: fun_int_fun_int_int ).

tff(func_def_173,type,
    bit_se727722235901077358nd_nat: fun_nat_fun_nat_nat ).

tff(func_def_174,type,
    bit_se3928097537394005634nteger: fun_na7078387940644931716nteger ).

tff(func_def_175,type,
    bit_se2751692689150723149atural: fun_na607345901702507418atural ).

tff(func_def_176,type,
    bit_se8568078237143864401it_int: fun_nat_fun_int_int ).

tff(func_def_177,type,
    bit_se8570568707652914677it_nat: fun_nat_fun_nat_nat ).

tff(func_def_178,type,
    bit_se1345352211410354436nteger: fun_na7078387940644931716nteger ).

tff(func_def_179,type,
    bit_se168947363167071951atural: fun_na607345901702507418atural ).

tff(func_def_180,type,
    bit_se2159334234014336723it_int: fun_nat_fun_int_int ).

tff(func_def_181,type,
    bit_se2161824704523386999it_nat: fun_nat_fun_nat_nat ).

tff(func_def_182,type,
    bit_se2119862282449309892nteger: fun_nat_Code_integer ).

tff(func_def_183,type,
    bit_se943457434206027407atural: fun_nat_Code_natural ).

tff(func_def_184,type,
    bit_se2000444600071755411sk_int: fun_nat_int ).

tff(func_def_185,type,
    bit_se2002935070580805687sk_nat: fun_nat_nat ).

tff(func_def_186,type,
    bit_se1080825931792720795nteger: fun_Co1981900195452921617nteger ).

tff(func_def_187,type,
    bit_se9127793120404214118atural: fun_Co6813818151677833714atural ).

tff(func_def_188,type,
    bit_se1409905431419307370or_int: fun_int_fun_int_int ).

tff(func_def_189,type,
    bit_se1412395901928357646or_nat: fun_nat_fun_nat_nat ).

tff(func_def_190,type,
    bit_se7788150548672797655nteger: fun_na7078387940644931716nteger ).

tff(func_def_191,type,
    bit_se6611745700429515170atural: fun_na607345901702507418atural ).

tff(func_def_192,type,
    bit_se545348938243370406it_int: fun_nat_fun_int_int ).

tff(func_def_193,type,
    bit_se547839408752420682it_nat: fun_nat_fun_nat_nat ).

tff(func_def_194,type,
    bit_se2793503036327961859nteger: fun_na7078387940644931716nteger ).

tff(func_def_195,type,
    bit_se1617098188084679374atural: fun_na607345901702507418atural ).

tff(func_def_196,type,
    bit_se7879613467334960850it_int: fun_nat_fun_int_int ).

tff(func_def_197,type,
    bit_se7882103937844011126it_nat: fun_nat_fun_nat_nat ).

tff(func_def_198,type,
    bit_se1745604003318907178nteger: fun_na7078387940644931716nteger ).

tff(func_def_199,type,
    bit_se569199155075624693atural: fun_na607345901702507418atural ).

tff(func_def_200,type,
    bit_se2923211474154528505it_int: fun_nat_fun_int_int ).

tff(func_def_201,type,
    bit_se2925701944663578781it_nat: fun_nat_fun_nat_nat ).

tff(func_def_202,type,
    bit_se8260200283734997820nteger: fun_na7078387940644931716nteger ).

tff(func_def_203,type,
    bit_se7083795435491715335atural: fun_na607345901702507418atural ).

tff(func_def_204,type,
    bit_se4203085406695923979it_int: fun_nat_fun_int_int ).

tff(func_def_205,type,
    bit_se4205575877204974255it_nat: fun_nat_fun_nat_nat ).

tff(func_def_206,type,
    bit_se3222712562003087583nteger: fun_Co1981900195452921617nteger ).

tff(func_def_207,type,
    bit_se2046307713759805098atural: fun_Co6813818151677833714atural ).

tff(func_def_208,type,
    bit_se6526347334894502574or_int: fun_int_fun_int_int ).

tff(func_def_209,type,
    bit_se6528837805403552850or_nat: fun_nat_fun_nat_nat ).

tff(func_def_210,type,
    bit_se9216721137139052372nteger: fun_Co1375048237525739357_nat_o ).

tff(func_def_211,type,
    bit_se8040316288895769887atural: fun_Co196715998180962002_nat_o ).

tff(func_def_212,type,
    bit_se1146084159140164899it_int: fun_int_fun_nat_o ).

tff(func_def_213,type,
    bit_se1148574629649215175it_nat: fun_nat_fun_nat_o ).

tff(func_def_214,type,
    bit_se6891987061192897379nteger: itself_Code_integer > fun_nat_o ).

tff(func_def_215,type,
    bit_se5715582212949614894atural: itself_Code_natural > fun_nat_o ).

tff(func_def_216,type,
    bit_se3746373301970924850it_int: itself_int > fun_nat_o ).

tff(func_def_217,type,
    bit_se3748863772479975126it_nat: itself_nat > fun_nat_o ).

tff(func_def_218,type,
    bit_take_bit_num: ( nat * num ) > option_num ).

tff(func_def_219,type,
    boolea5643492148547655015nteger: ( fun_Co1981900195452921617nteger * fun_Co1981900195452921617nteger * fun_Co8499238673658658103nteger ) > fun_Co2081214437782444048eger_o ).

tff(func_def_220,type,
    boolea5469654029284665142ra_int: ( fun_int_fun_int_int * fun_int_fun_int_int * fun_int_int ) > fun_int_fun_int_o ).

tff(func_def_221,type,
    code_Nat: fun_Co3734316457315071362atural ).

tff(func_def_222,type,
    code_Neg: fun_num_Code_integer ).

tff(func_def_223,type,
    code_Pos: fun_num_Code_integer ).

tff(func_def_224,type,
    code_Suc: fun_Co7398788559141407565atural ).

tff(func_def_225,type,
    code_bit_cut_integer: code_integer > produc6271795597528267376eger_o ).

tff(func_def_226,type,
    code_cr_integer: fun_in4891666191172872833eger_o ).

tff(func_def_227,type,
    code_cr_natural: fun_na2240068485812228818ural_o ).

tff(func_def_228,type,
    code_divmod_abs: ( code_integer * code_integer ) > produc8923325533196201883nteger ).

tff(func_def_229,type,
    code_divmod_integer: ( code_integer * code_integer ) > produc8923325533196201883nteger ).

tff(func_def_230,type,
    code_dup: fun_Co8499238673658658103nteger ).

tff(func_def_231,type,
    code_int_of_integer: fun_Code_integer_int ).

tff(func_def_232,type,
    code_integer_of_int: fun_int_Code_integer ).

tff(func_def_233,type,
    code_integer_of_nat: fun_nat_Code_integer ).

tff(func_def_234,type,
    code_i5400310926305786745atural: fun_Co2940338738630218498nteger ).

tff(func_def_235,type,
    code_integer_of_num: fun_num_Code_integer ).

tff(func_def_236,type,
    code_nat_of_integer: fun_Code_integer_nat ).

tff(func_def_237,type,
    code_nat_of_natural: fun_Code_natural_nat ).

tff(func_def_238,type,
    code_natural_of_nat: fun_nat_Code_natural ).

tff(func_def_239,type,
    code_n4118661773612635043nteger: fun_Co3734316457315071362atural ).

tff(func_def_240,type,
    code_negative: fun_num_Code_integer ).

tff(func_def_241,type,
    code_num_of_integer: fun_Code_integer_num ).

tff(func_def_242,type,
    code_pcr_integer: fun_in4891666191172872833eger_o ).

tff(func_def_243,type,
    code_pcr_natural: fun_na2240068485812228818ural_o ).

tff(func_def_244,type,
    code_positive: fun_num_Code_integer ).

tff(func_def_245,type,
    code_size_nat: fun_Code_natural_nat ).

tff(func_def_246,type,
    code_sub: fun_nu2537414170016844299nteger ).

tff(func_def_247,type,
    complete_Inf_Inf_int: set_int > int ).

tff(func_def_248,type,
    comple7806235888213564991et_nat: set_set_nat > set_nat ).

tff(func_def_249,type,
    complete_Sup_Sup_int: set_int > int ).

tff(func_def_250,type,
    complete_Sup_Sup_nat: set_nat > nat ).

tff(func_def_251,type,
    adjust_div: product_prod_int_int > int ).

tff(func_def_252,type,
    adjust_mod: int > fun_int_int ).

tff(func_def_253,type,
    divmod_nat: ( nat * nat ) > product_prod_nat_nat ).

tff(func_def_254,type,
    unique6322359934112328802ux_nat: fun_Pr4796943543331071514_nat_o ).

tff(func_def_255,type,
    unique3479559517661332726nteger: ( num * num ) > produc8923325533196201883nteger ).

tff(func_def_256,type,
    unique5052692396658037445od_int: ( num * num ) > product_prod_int_int ).

tff(func_def_257,type,
    unique5055182867167087721od_nat: ( num * num ) > product_prod_nat_nat ).

tff(func_def_258,type,
    unique4921790084139445826nteger: ( num * produc8923325533196201883nteger ) > produc8923325533196201883nteger ).

tff(func_def_259,type,
    unique5024387138958732305ep_int: ( num * product_prod_int_int ) > product_prod_int_int ).

tff(func_def_260,type,
    unique5026877609467782581ep_nat: ( num * product_prod_nat_nat ) > product_prod_nat_nat ).

tff(func_def_261,type,
    euclid6377331345833325938nteger: fun_Code_integer_nat ).

tff(func_def_262,type,
    euclid5200926497590043453atural: fun_Code_natural_nat ).

tff(func_def_263,type,
    euclid4774559944035922753ze_int: fun_int_nat ).

tff(func_def_264,type,
    euclid4777050414544973029ze_nat: fun_nat_nat ).

tff(func_def_265,type,
    euclid6289375185220004616nteger: fun_Co8499238673658658103nteger ).

tff(func_def_266,type,
    euclid5112970336976722131atural: fun_Co7398788559141407565atural ).

tff(func_def_267,type,
    euclid3395696857347342551nt_int: fun_int_int ).

tff(func_def_268,type,
    euclid3398187327856392827nt_nat: fun_nat_nat ).

tff(func_def_269,type,
    comm_s8582702949713902594nteger: code_integer > fun_nat_Code_integer ).

tff(func_def_270,type,
    comm_s7406298101470620109atural: ( code_natural * nat ) > code_natural ).

tff(func_def_271,type,
    comm_s4660882817536571857er_int: int > fun_nat_int ).

tff(func_def_272,type,
    comm_s4663373288045622133er_nat: fun_nat_fun_nat_nat ).

tff(func_def_273,type,
    comm_s4028243227959126397er_rat: rat > fun_nat_rat ).

tff(func_def_274,type,
    semiri3624122377584611663nteger: fun_nat_Code_integer ).

tff(func_def_275,type,
    semiri2447717529341329178atural: nat > code_natural ).

tff(func_def_276,type,
    semiri1406184849735516958ct_int: fun_nat_int ).

tff(func_def_277,type,
    semiri1408675320244567234ct_nat: fun_nat_nat ).

tff(func_def_278,type,
    semiri773545260158071498ct_rat: fun_nat_rat ).

tff(func_def_279,type,
    inverse_inverse_rat: fun_rat_rat ).

tff(func_def_280,type,
    finite_card_int: set_int > nat ).

tff(func_def_281,type,
    finite_card_list_nat: set_list_nat > nat ).

tff(func_def_282,type,
    finite_card_nat: set_nat > nat ).

tff(func_def_283,type,
    finite711546835091564841at_nat: set_Pr1261947904930325089at_nat > nat ).

tff(func_def_284,type,
    finite3771342082235030671at_nat: set_Pr4329608150637261639at_nat > nat ).

tff(func_def_285,type,
    finite410649719033368117t_unit: set_Product_unit > nat ).

tff(func_def_286,type,
    finite_card_set_nat: set_set_nat > nat ).

tff(func_def_287,type,
    finite4356350796350151305at_nat: set_se7855581050983116737at_nat > nat ).

tff(func_def_288,type,
    finite_finite_nat: fun_set_nat_o ).

tff(func_def_289,type,
    finite6177210948735845034at_nat: fun_se4782206882984618170_nat_o ).

tff(func_def_290,type,
    bij_betw_int_nat: ( fun_int_nat * set_int ) > fun_set_nat_o ).

tff(func_def_291,type,
    bij_be8532844293280997160at_nat: ( fun_list_nat_nat * set_list_nat ) > fun_set_nat_o ).

tff(func_def_292,type,
    bij_betw_nat_nat: ( fun_nat_nat * set_nat ) > fun_set_nat_o ).

tff(func_def_293,type,
    bij_be8693218025023041337at_nat: ( fun_na1476630412504255114at_nat * set_nat ) > fun_se4782206882984618170_nat_o ).

tff(func_def_294,type,
    bij_be5333170631980326235at_nat: ( fun_Pr2602117396471556196at_nat * set_Pr1261947904930325089at_nat ) > fun_set_nat_o ).

tff(func_def_295,type,
    bij_be5432664580149595207at_nat: ( fun_Su884838341992399436at_nat * set_Sum_sum_nat_nat ) > fun_set_nat_o ).

tff(func_def_296,type,
    comp_C3531382070062128313er_num: ( fun_Co8499238673658658103nteger * fun_num_Code_integer ) > fun_num_Code_integer ).

tff(func_def_297,type,
    comp_C7848664941760151970nteger: ( fun_Co1561183069634336733nteger * fun_Co8499238673658658103nteger * code_integer ) > fun_Pr5876161306168176259nteger ).

tff(func_def_298,type,
    comp_int_nat_int: ( fun_int_nat * fun_int_int ) > fun_int_nat ).

tff(func_def_299,type,
    comp_nat_nat_nat: ( fun_nat_nat * fun_nat_nat ) > fun_nat_nat ).

tff(func_def_300,type,
    comp_nat_num_int: ( fun_nat_num * fun_int_nat ) > fun_int_num ).

tff(func_def_301,type,
    comp_f6739083541385432444nteger: ( fun_fu4800041728187187127nteger * fun_Co1981900195452921617nteger ) > fun_Co1561183069634336733nteger ).

tff(func_def_302,type,
    id_o: fun_o_o ).

tff(func_def_303,type,
    id_int: fun_int_int ).

tff(func_def_304,type,
    id_nat: fun_nat_nat ).

tff(func_def_305,type,
    id_num: fun_num_num ).

tff(func_def_306,type,
    id_fun_nat_o: fun_fu4001317426178549763_nat_o ).

tff(func_def_307,type,
    inj_on_nat_int: fun_nat_int > fun_set_nat_o ).

tff(func_def_308,type,
    inj_on_nat_list_nat: fun_nat_list_nat > fun_set_nat_o ).

tff(func_def_309,type,
    inj_on_nat_nat: fun_nat_nat > fun_set_nat_o ).

tff(func_def_310,type,
    inj_on5538052773655684606at_nat: fun_na1476630412504255114at_nat > fun_set_nat_o ).

tff(func_def_311,type,
    inj_on_nat_char: fun_nat_char > fun_set_nat_o ).

tff(func_def_312,type,
    inj_on5701776251185195458at_nat: fun_na3635074868517587788at_nat > fun_set_nat_o ).

tff(func_def_313,type,
    inj_on2178005380612969504at_nat: fun_Pr2602117396471556196at_nat > fun_se4782206882984618170_nat_o ).

tff(func_def_314,type,
    map_fu2599414010547811884nteger: ( fun_Code_integer_int * fun_int_Code_integer ) > fun_fu6921880696561781257nteger ).

tff(func_def_315,type,
    map_fu1051355602067684763atural: ( fun_Code_integer_int * fun_nat_Code_natural * fun_int_nat ) > fun_Co3734316457315071362atural ).

tff(func_def_316,type,
    map_fu6539832666145259331at_nat: ( fun_Code_integer_int * fun_nat_nat * fun_int_nat ) > fun_Code_integer_nat ).

tff(func_def_317,type,
    map_fu1227494855608507351um_num: ( fun_Code_integer_int * fun_num_num * fun_int_num ) > fun_Code_integer_num ).

tff(func_def_318,type,
    map_fu1034890151506530863nteger: ( fun_Code_integer_int * fun_fu6921880696561781257nteger * fun_int_fun_int_int ) > fun_Co1981900195452921617nteger ).

tff(func_def_319,type,
    map_fu2913747595474184929_nat_o: ( fun_Code_integer_int * fun_fu4001317426178549763_nat_o * fun_int_fun_nat_o ) > fun_Co1375048237525739357_nat_o ).

tff(func_def_320,type,
    map_fu2787874002554666395nteger: ( fun_Code_natural_nat * fun_int_Code_integer * fun_nat_int ) > fun_Co2940338738630218498nteger ).

tff(func_def_321,type,
    map_fu1239815594074539274atural: ( fun_Code_natural_nat * fun_nat_Code_natural ) > fun_fu6924846375782198887atural ).

tff(func_def_322,type,
    map_fu226235371393106610at_nat: ( fun_Code_natural_nat * fun_nat_nat * fun_nat_nat ) > fun_Code_natural_nat ).

tff(func_def_323,type,
    map_fu820683741283188176_nat_o: ( fun_Code_natural_nat * fun_fu4001317426178549763_nat_o * fun_nat_fun_nat_o ) > fun_Co196715998180962002_nat_o ).

tff(func_def_324,type,
    map_fu7613509917203888380atural: ( fun_Code_natural_nat * fun_fu6924846375782198887atural * fun_nat_fun_nat_nat ) > fun_Co6813818151677833714atural ).

tff(func_def_325,type,
    map_fu3424225382358772769nt_rat: ( fun_int_int * fun_Pr1652463973008025892nt_rat ) > fun_fu7460908759652350970nt_rat ).

tff(func_def_326,type,
    map_fu7945985449245211511nt_rat: ( fun_int_int * fun_fu7460908759652350970nt_rat * fun_in1696471567231710611nt_int ) > fun_int_fun_int_rat ).

tff(func_def_327,type,
    map_fu4826362097070443709at_o_o: ( fun_in4514472496968388910at_nat * fun_o_o ) > fun_fu7075445697382584196_int_o ).

tff(func_def_328,type,
    map_fu2345160673673942751at_nat: ( fun_in4514472496968388910at_nat * fun_nat_nat * fun_Pr2602117396471556196at_nat ) > fun_int_nat ).

tff(func_def_329,type,
    map_fu3667384564859982768at_int: ( fun_in4514472496968388910at_nat * fun_Pr7647638413817135296at_int ) > fun_fu3064074204415222357nt_int ).

tff(func_def_330,type,
    map_fu3191548434056052140_int_o: ( fun_in4514472496968388910at_nat * fun_fu7075445697382584196_int_o * fun_Pr2028404973800837934_nat_o ) > fun_int_fun_int_o ).

tff(func_def_331,type,
    map_fu8294830438409148311nt_int: ( fun_in4514472496968388910at_nat * fun_fu3064074204415222357nt_int * fun_Pr2477239776880934807at_nat ) > fun_int_fun_int_int ).

tff(func_def_332,type,
    map_fu6290471996055670595nteger: ( fun_nat_nat * fun_int_Code_integer * fun_nat_int ) > fun_nat_Code_integer ).

tff(func_def_333,type,
    map_fu4742413587575543474atural: ( fun_nat_nat * fun_nat_Code_natural * fun_nat_nat ) > fun_nat_Code_natural ).

tff(func_def_334,type,
    map_fu214667362969451334nteger: ( fun_nat_nat * fun_fu6921880696561781257nteger * fun_nat_fun_int_int ) > fun_na7078387940644931716nteger ).

tff(func_def_335,type,
    map_fu5588224966615042724atural: ( fun_nat_nat * fun_fu6924846375782198887atural * fun_nat_fun_nat_nat ) > fun_na607345901702507418atural ).

tff(func_def_336,type,
    map_fu8638147718074629079nteger: ( fun_num_num * fun_int_Code_integer ) > fun_fu3380082687118895412nteger ).

tff(func_def_337,type,
    map_fu8540202848259802501nteger: ( fun_num_num * fun_fu3380082687118895412nteger * fun_num_fun_num_int ) > fun_nu2537414170016844299nteger ).

tff(func_def_338,type,
    map_fu898904425404107465nt_o_o: ( fun_ra4503298312962071866nt_int * fun_o_o * fun_Pr3238374608701176162_int_o ) > fun_rat_o ).

tff(func_def_339,type,
    map_fu5673905371560938248nt_rat: ( fun_ra4503298312962071866nt_int * fun_Pr1652463973008025892nt_rat ) > fun_fu1098312133097393581at_rat ).

tff(func_def_340,type,
    map_fu5968964422797239547at_rat: ( fun_ra4503298312962071866nt_int * fun_fu1098312133097393581at_rat * fun_Pr1308109350235310159nt_int ) > fun_rat_fun_rat_rat ).

tff(func_def_341,type,
    fun_max_strict: set_Pr4329608150637261639at_nat ).

tff(func_def_342,type,
    fun_max_weak: set_Pr4329608150637261639at_nat ).

tff(func_def_343,type,
    fun_min_strict: set_Pr4329608150637261639at_nat ).

tff(func_def_344,type,
    fun_min_weak: set_Pr4329608150637261639at_nat ).

tff(func_def_345,type,
    fun_pair_leq: set_Pr8693737435421807431at_nat ).

tff(func_def_346,type,
    fun_pair_less: set_Pr8693737435421807431at_nat ).

tff(func_def_347,type,
    gcd_Gcd_int: set_int > int ).

tff(func_def_348,type,
    gcd_Gcd_nat: set_nat > nat ).

tff(func_def_349,type,
    gcd_Lcm_int: set_int > int ).

tff(func_def_350,type,
    gcd_Lcm_nat: set_nat > nat ).

tff(func_def_351,type,
    bezw: ( nat * nat ) > product_prod_int_int ).

tff(func_def_352,type,
    bezw_rel: fun_Pr2028404973800837934_nat_o ).

tff(func_def_353,type,
    gcd_gcd_int: fun_int_fun_int_int ).

tff(func_def_354,type,
    gcd_gcd_nat: fun_nat_fun_nat_nat ).

tff(func_def_355,type,
    gcd_lcm_int: fun_int_fun_int_int ).

tff(func_def_356,type,
    gcd_lcm_nat: fun_nat_fun_nat_nat ).

tff(func_def_357,type,
    gcd_nat_rel: fun_Pr2028404973800837934_nat_o ).

tff(func_def_358,type,
    abs_abs_Code_integer: fun_Co8499238673658658103nteger ).

tff(func_def_359,type,
    abs_abs_int: fun_int_int ).

tff(func_def_360,type,
    abs_abs_rat: fun_rat_rat ).

tff(func_def_361,type,
    comm_monoid_nat: fun_nat_fun_nat_nat > fun_nat_o ).

tff(func_def_362,type,
    minus_8373710615458151222nteger: fun_Co1981900195452921617nteger ).

tff(func_def_363,type,
    minus_7197305767214868737atural: fun_Co6813818151677833714atural ).

tff(func_def_364,type,
    minus_minus_int: fun_int_fun_int_int ).

tff(func_def_365,type,
    minus_minus_nat: fun_nat_fun_nat_nat ).

tff(func_def_366,type,
    minus_minus_rat: rat > fun_rat_rat ).

tff(func_def_367,type,
    minus_minus_set_int: ( set_int * set_int ) > set_int ).

tff(func_def_368,type,
    minus_7954133019191499631st_nat: ( set_list_nat * set_list_nat ) > set_list_nat ).

tff(func_def_369,type,
    minus_minus_set_nat: ( set_nat * set_nat ) > set_nat ).

tff(func_def_370,type,
    minus_1356011639430497352at_nat: ( set_Pr1261947904930325089at_nat * set_Pr1261947904930325089at_nat ) > set_Pr1261947904930325089at_nat ).

tff(func_def_371,type,
    minus_3314409938677909166at_nat: ( set_Pr4329608150637261639at_nat * set_Pr4329608150637261639at_nat ) > set_Pr4329608150637261639at_nat ).

tff(func_def_372,type,
    minus_6452836326544984404t_unit: ( set_Product_unit * set_Product_unit ) > set_Product_unit ).

tff(func_def_373,type,
    minus_2163939370556025621et_nat: ( set_set_nat * set_set_nat ) > set_set_nat ).

tff(func_def_374,type,
    minus_4207664762107033000at_nat: ( set_se7855581050983116737at_nat * set_se7855581050983116737at_nat ) > set_se7855581050983116737at_nat ).

tff(func_def_375,type,
    monoid_nat: fun_nat_fun_nat_nat > fun_nat_o ).

tff(func_def_376,type,
    one_one_Code_integer: code_integer ).

tff(func_def_377,type,
    one_one_Code_natural: code_natural ).

tff(func_def_378,type,
    one_one_int: int ).

tff(func_def_379,type,
    one_one_nat: nat ).

tff(func_def_380,type,
    one_one_rat: rat ).

tff(func_def_381,type,
    plus_p5714425477246183910nteger: fun_Co1981900195452921617nteger ).

tff(func_def_382,type,
    plus_p4538020629002901425atural: fun_Co6813818151677833714atural ).

tff(func_def_383,type,
    plus_plus_int: fun_int_fun_int_int ).

tff(func_def_384,type,
    plus_plus_nat: fun_nat_fun_nat_nat ).

tff(func_def_385,type,
    plus_plus_num: num > fun_num_num ).

tff(func_def_386,type,
    plus_plus_rat: fun_rat_fun_rat_rat ).

tff(func_def_387,type,
    sgn_sgn_Code_integer: fun_Co8499238673658658103nteger ).

tff(func_def_388,type,
    sgn_sgn_int: fun_int_int ).

tff(func_def_389,type,
    sgn_sgn_rat: fun_rat_rat ).

tff(func_def_390,type,
    times_3573771949741848930nteger: fun_Co1981900195452921617nteger ).

tff(func_def_391,type,
    times_2397367101498566445atural: fun_Co6813818151677833714atural ).

tff(func_def_392,type,
    times_times_int: fun_int_fun_int_int ).

tff(func_def_393,type,
    times_times_nat: fun_nat_fun_nat_nat ).

tff(func_def_394,type,
    times_times_num: num > fun_num_num ).

tff(func_def_395,type,
    times_times_rat: fun_rat_fun_rat_rat ).

tff(func_def_396,type,
    uminus1351360451143612070nteger: fun_Co8499238673658658103nteger ).

tff(func_def_397,type,
    uminus_uminus_int: fun_int_int ).

tff(func_def_398,type,
    uminus2952777764628376836t_unit: product_unit > product_unit ).

tff(func_def_399,type,
    uminus_uminus_rat: fun_rat_rat ).

tff(func_def_400,type,
    uminus1532241313380277803et_int: set_int > set_int ).

tff(func_def_401,type,
    uminus5710092332889474511et_nat: set_nat > set_nat ).

tff(func_def_402,type,
    uminus6524753893492686040at_nat: set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat ).

tff(func_def_403,type,
    uminus935396558254630718at_nat: set_Pr4329608150637261639at_nat > set_Pr4329608150637261639at_nat ).

tff(func_def_404,type,
    uminus613421341184616069et_nat: set_set_nat > set_set_nat ).

tff(func_def_405,type,
    uminus8018730102153342520at_nat: set_se7855581050983116737at_nat > set_se7855581050983116737at_nat ).

tff(func_def_406,type,
    zero_z3403309356797280102nteger: code_integer ).

tff(func_def_407,type,
    zero_z2226904508553997617atural: code_natural ).

tff(func_def_408,type,
    zero_zero_int: int ).

tff(func_def_409,type,
    zero_zero_nat: nat ).

tff(func_def_410,type,
    zero_zero_rat: rat ).

tff(func_def_411,type,
    groups4538972089207619220nt_int: ( fun_int_int * set_int ) > int ).

tff(func_def_412,type,
    groups3542108847815614940at_nat: fun_nat_nat > fun_set_nat_nat ).

tff(func_def_413,type,
    groups1705073143266064639nt_int: ( fun_int_int * set_int ) > int ).

tff(func_def_414,type,
    groups705719431365010083at_int: ( fun_nat_int * set_nat ) > int ).

tff(func_def_415,type,
    groups708209901874060359at_nat: ( fun_nat_nat * set_nat ) > nat ).

tff(func_def_416,type,
    groups3417619833198082522nteger: ( fun_o_Code_integer * code_integer * list_o ) > code_integer ).

tff(func_def_417,type,
    groups2241214984954800037atural: ( fun_o_Code_natural * code_natural * list_o ) > code_natural ).

tff(func_def_418,type,
    groups9116527308978886569_o_int: ( fun_o_int * int * list_o ) > int ).

tff(func_def_419,type,
    groups9119017779487936845_o_nat: ( fun_o_nat * nat * list_o ) > nat ).

tff(func_def_420,type,
    groups8594936613892548326nteger: ( fun_int_Code_integer * code_integer * list_int ) > code_integer ).

tff(func_def_421,type,
    groups8485231416243008693nt_int: ( fun_int_int * int * list_int ) > int ).

tff(func_def_422,type,
    groups8487721886752058969nt_nat: ( fun_int_nat * nat * list_int ) > nat ).

tff(func_def_423,type,
    groups7852591826665563233nt_rat: ( fun_int_rat * rat * list_int ) > rat ).

tff(func_def_424,type,
    groups8223283053655703690nteger: ( fun_nat_Code_integer * code_integer * list_nat ) > code_integer ).

tff(func_def_425,type,
    groups7485877704341954137at_int: ( fun_nat_int * int * list_nat ) > int ).

tff(func_def_426,type,
    groups7488368174851004413at_nat: ( fun_nat_nat * nat * list_nat ) > nat ).

tff(func_def_427,type,
    groups6853238114764508677at_rat: ( fun_nat_rat * rat * list_nat ) > rat ).

tff(func_def_428,type,
    groups4561878855575611511st_nat: list_nat > nat ).

tff(func_def_429,type,
    nO_MAT8252062027627875367nteger: fun_Co2081214437782444048eger_o ).

tff(func_def_430,type,
    nO_MAT8427913294028938742er_int: code_integer > fun_int_o ).

tff(func_def_431,type,
    nO_MAT7795273704451493282er_rat: code_integer > fun_rat_o ).

tff(func_def_432,type,
    nO_MAT9066612773553876470nteger: int > fun_Code_integer_o ).

tff(func_def_433,type,
    nO_MATCH_int_int: fun_int_fun_int_o ).

tff(func_def_434,type,
    nO_MATCH_int_nat: int > fun_nat_o ).

tff(func_def_435,type,
    nO_MATCH_int_rat: int > fun_rat_o ).

tff(func_def_436,type,
    nO_MAT8694959213317031834nteger: nat > fun_Code_integer_o ).

tff(func_def_437,type,
    nO_MATCH_nat_int: fun_nat_fun_int_o ).

tff(func_def_438,type,
    nO_MATCH_nat_nat: fun_nat_fun_nat_o ).

tff(func_def_439,type,
    nO_MATCH_nat_rat: nat > fun_rat_o ).

tff(func_def_440,type,
    nO_MAT243659986023775650nteger: rat > fun_Code_integer_o ).

tff(func_def_441,type,
    nO_MATCH_rat_rat: fun_rat_fun_rat_o ).

tff(func_def_442,type,
    the_int: fun_int_o > int ).

tff(func_def_443,type,
    the_Pr4378521158711661632nt_int: fun_Pr3238374608701176162_int_o > product_prod_int_int ).

tff(func_def_444,type,
    empty: heap_e7401611519738050253t_unit ).

tff(func_def_445,type,
    heap_e2437179713268326763t_unit: ( fun_ty25169735533777662st_nat * fun_ty5154387363802369006at_nat * nat * product_unit ) > heap_e7401611519738050253t_unit ).

tff(func_def_446,type,
    heap_T6183433275982383450t_unit: fun_he5234484606919320760it_nat > heap_T5738788834812785303t_unit ).

tff(func_def_447,type,
    heap_Time_assert_nat: ( fun_nat_o * nat ) > heap_Time_Heap_nat ).

tff(func_def_448,type,
    heap_Time_effect_nat: ( heap_Time_Heap_nat * heap_e7401611519738050253t_unit * heap_e7401611519738050253t_unit ) > fun_nat_fun_nat_o ).

tff(func_def_449,type,
    heap_Time_return_nat: nat > heap_Time_Heap_nat ).

tff(func_def_450,type,
    heap_Time_tap_nat: fun_he1033112309995878576it_nat > heap_Time_Heap_nat ).

tff(func_def_451,type,
    heap_T6738714419362814988rn_nat: nat > heap_Time_Heap_nat ).

tff(func_def_452,type,
    heap_Time_wait: nat > heap_T5738788834812785303t_unit ).

tff(func_def_453,type,
    abs_Integ: fun_Pr7647638413817135296at_int ).

tff(func_def_454,type,
    neg: fun_num_int ).

tff(func_def_455,type,
    pos: fun_num_int ).

tff(func_def_456,type,
    rep_Integ: fun_in4514472496968388910at_nat ).

tff(func_def_457,type,
    cr_int: fun_Pr4738963024209204295_int_o ).

tff(func_def_458,type,
    dup: fun_int_int ).

tff(func_def_459,type,
    abs_int: fun_se9142667792015812128at_int ).

tff(func_def_460,type,
    rep_int: fun_in8804710076054006414at_nat ).

tff(func_def_461,type,
    int_ge_less_than: int > set_Pr958786334691620121nt_int ).

tff(func_def_462,type,
    int_ge_less_than2: int > set_Pr958786334691620121nt_int ).

tff(func_def_463,type,
    intrel: fun_Pr2028404973800837934_nat_o ).

tff(func_def_464,type,
    nat2: fun_int_nat ).

tff(func_def_465,type,
    pcr_int: fun_Pr4738963024209204295_int_o ).

tff(func_def_466,type,
    ring_11222124179247155820nteger: set_Code_integer ).

tff(func_def_467,type,
    ring_1_Ints_int: set_int ).

tff(func_def_468,type,
    ring_1_Ints_rat: set_rat ).

tff(func_def_469,type,
    ring_18347121197199848620nteger: fun_int_Code_integer ).

tff(func_def_470,type,
    ring_1_of_int_int: fun_int_int ).

tff(func_def_471,type,
    ring_1_of_int_rat: fun_int_rat ).

tff(func_def_472,type,
    sub: num > fun_num_int ).

tff(func_def_473,type,
    inf_inf_int: fun_int_fun_int_int ).

tff(func_def_474,type,
    inf_inf_nat: fun_nat_fun_nat_nat ).

tff(func_def_475,type,
    inf_in2572325071724192079at_nat: ( set_Pr1261947904930325089at_nat * set_Pr1261947904930325089at_nat ) > set_Pr1261947904930325089at_nat ).

tff(func_def_476,type,
    semila9081495762789891438tr_nat: fun_nat_fun_nat_nat > fun_nat_o ).

tff(func_def_477,type,
    sup_sup_int: fun_int_fun_int_int ).

tff(func_def_478,type,
    sup_sup_nat: fun_nat_fun_nat_nat ).

tff(func_def_479,type,
    sup_sup_set_nat: ( set_nat * set_nat ) > set_nat ).

tff(func_def_480,type,
    sup_su718114333110466843at_nat: ( set_Pr8693737435421807431at_nat * set_Pr8693737435421807431at_nat ) > set_Pr8693737435421807431at_nat ).

tff(func_def_481,type,
    sup_su5525570899277871387at_nat: ( set_Pr4329608150637261639at_nat * set_Pr4329608150637261639at_nat ) > set_Pr4329608150637261639at_nat ).

tff(func_def_482,type,
    lattic8263393255366662781ax_int: set_int > int ).

tff(func_def_483,type,
    lattic8265883725875713057ax_nat: set_nat > nat ).

tff(func_def_484,type,
    lattic7826324295020591184_F_nat: ( fun_nat_fun_nat_nat * nat * set_nat ) > nat ).

tff(func_def_485,type,
    append_int: ( list_int * list_int ) > list_int ).

tff(func_def_486,type,
    append_nat: ( list_nat * list_nat ) > list_nat ).

tff(func_def_487,type,
    fold_int_int: ( fun_int_fun_int_int * list_int ) > fun_int_int ).

tff(func_def_488,type,
    fold_nat_nat: ( fun_nat_fun_nat_nat * list_nat ) > fun_nat_nat ).

tff(func_def_489,type,
    last_nat: list_nat > nat ).

tff(func_def_490,type,
    linord2614967742042102400et_nat: set_nat > list_nat ).

tff(func_def_491,type,
    cons_o: ( $o * list_o ) > list_o ).

tff(func_def_492,type,
    cons_int: ( int * list_int ) > list_int ).

tff(func_def_493,type,
    cons_nat: ( nat * list_nat ) > list_nat ).

tff(func_def_494,type,
    nil_int: list_int ).

tff(func_def_495,type,
    nil_nat: list_nat ).

tff(func_def_496,type,
    hd_nat: list_nat > nat ).

tff(func_def_497,type,
    map_nat_nat: ( fun_nat_nat * list_nat ) > list_nat ).

tff(func_def_498,type,
    set_int2: list_int > set_int ).

tff(func_def_499,type,
    set_nat2: list_nat > set_nat ).

tff(func_def_500,type,
    size_list_typerep: ( fun_typerep_nat * list_typerep ) > nat ).

tff(func_def_501,type,
    tl_nat: list_nat > list_nat ).

tff(func_def_502,type,
    nth_o: list_o > fun_nat_o ).

tff(func_def_503,type,
    nth_int: list_int > fun_nat_int ).

tff(func_def_504,type,
    nth_nat: list_nat > fun_nat_nat ).

tff(func_def_505,type,
    nth_Product_prod_o_o: ( list_P4002435161011370285od_o_o * nat ) > product_prod_o_o ).

tff(func_def_506,type,
    nth_Pr1649062631805364268_o_int: ( list_P3795440434834930179_o_int * nat ) > product_prod_o_int ).

tff(func_def_507,type,
    nth_Pr5826913651314560976_o_nat: ( list_P6285523579766656935_o_nat * nat ) > product_prod_o_nat ).

tff(func_def_508,type,
    nth_Pr7514405829937366042_int_o: ( list_P5087981734274514673_int_o * nat ) > product_prod_int_o ).

tff(func_def_509,type,
    nth_Pr4439495888332055232nt_int: ( list_P5707943133018811711nt_int * nat ) > product_prod_int_int ).

tff(func_def_510,type,
    nth_Pr8617346907841251940nt_nat: ( list_P8198026277950538467nt_nat * nat ) > product_prod_int_nat ).

tff(func_def_511,type,
    nth_Pr112076138515278198_nat_o: ( list_P7333126701944960589_nat_o * nat ) > product_prod_nat_o ).

tff(func_def_512,type,
    nth_Pr3440142176431000676at_int: ( list_P3521021558325789923at_int * nat ) > product_prod_nat_int ).

tff(func_def_513,type,
    nth_Pr7617993195940197384at_nat: ( list_P6011104703257516679at_nat * nat ) > product_prod_nat_nat ).

tff(func_def_514,type,
    nth_Pr6744343527793145070at_nat: ( list_P8469869581646625389at_nat * nat ) > produc859450856879609959at_nat ).

tff(func_def_515,type,
    product_o_o: ( list_o * list_o ) > list_P4002435161011370285od_o_o ).

tff(func_def_516,type,
    product_o_int: ( list_o * list_int ) > list_P3795440434834930179_o_int ).

tff(func_def_517,type,
    product_o_nat: ( list_o * list_nat ) > list_P6285523579766656935_o_nat ).

tff(func_def_518,type,
    product_int_o: ( list_int * list_o ) > list_P5087981734274514673_int_o ).

tff(func_def_519,type,
    product_int_int: ( list_int * list_int ) > list_P5707943133018811711nt_int ).

tff(func_def_520,type,
    product_int_nat: ( list_int * list_nat ) > list_P8198026277950538467nt_nat ).

tff(func_def_521,type,
    product_nat_o: ( list_nat * list_o ) > list_P7333126701944960589_nat_o ).

tff(func_def_522,type,
    product_nat_int: ( list_nat * list_int ) > list_P3521021558325789923at_int ).

tff(func_def_523,type,
    product_nat_nat: ( list_nat * list_nat ) > list_P6011104703257516679at_nat ).

tff(func_def_524,type,
    produc3544356994491977349at_nat: ( list_P6011104703257516679at_nat * list_P6011104703257516679at_nat ) > list_P8469869581646625389at_nat ).

tff(func_def_525,type,
    rotate1_o: list_o > list_o ).

tff(func_def_526,type,
    rotate1_int: list_int > list_int ).

tff(func_def_527,type,
    rotate1_nat: list_nat > list_nat ).

tff(func_def_528,type,
    rotate_o: ( nat * list_o ) > list_o ).

tff(func_def_529,type,
    rotate_int: ( nat * list_int ) > list_int ).

tff(func_def_530,type,
    rotate_nat: ( nat * list_nat ) > list_nat ).

tff(func_def_531,type,
    sorted_wrt_int: fun_int_fun_int_o > fun_list_int_o ).

tff(func_def_532,type,
    sorted_wrt_nat: fun_nat_fun_nat_o > fun_list_nat_o ).

tff(func_def_533,type,
    take_nat: ( nat * list_nat ) > list_nat ).

tff(func_def_534,type,
    upt: ( nat * nat ) > list_nat ).

tff(func_def_535,type,
    upto: ( int * int ) > list_int ).

tff(func_def_536,type,
    upto_aux: ( int * int * list_int ) > list_int ).

tff(func_def_537,type,
    upto_rel: fun_Pr9018117161326028078_int_o ).

tff(func_def_538,type,
    zip_o_o: ( list_o * list_o ) > list_P4002435161011370285od_o_o ).

tff(func_def_539,type,
    zip_o_int: ( list_o * list_int ) > list_P3795440434834930179_o_int ).

tff(func_def_540,type,
    zip_o_nat: ( list_o * list_nat ) > list_P6285523579766656935_o_nat ).

tff(func_def_541,type,
    zip_int_o: ( list_int * list_o ) > list_P5087981734274514673_int_o ).

tff(func_def_542,type,
    zip_int_int: ( list_int * list_int ) > list_P5707943133018811711nt_int ).

tff(func_def_543,type,
    zip_int_nat: ( list_int * list_nat ) > list_P8198026277950538467nt_nat ).

tff(func_def_544,type,
    zip_nat_o: ( list_nat * list_o ) > list_P7333126701944960589_nat_o ).

tff(func_def_545,type,
    zip_nat_int: ( list_nat * list_int ) > list_P3521021558325789923at_int ).

tff(func_def_546,type,
    zip_nat_nat: ( list_nat * list_nat ) > list_P6011104703257516679at_nat ).

tff(func_def_547,type,
    zip_Pr4664179122662387191at_nat: ( list_P6011104703257516679at_nat * list_P6011104703257516679at_nat ) > list_P8469869581646625389at_nat ).

tff(func_def_548,type,
    suc: fun_nat_nat ).

tff(func_def_549,type,
    compow_fun_nat_nat: ( nat * fun_nat_nat ) > fun_nat_nat ).

tff(func_def_550,type,
    case_nat_o: ( $o * fun_nat_o ) > fun_nat_o ).

tff(func_def_551,type,
    case_nat_nat: ( nat * fun_nat_nat ) > fun_nat_nat ).

tff(func_def_552,type,
    pred: fun_nat_nat ).

tff(func_def_553,type,
    semiring_1_Nats_int: set_int ).

tff(func_def_554,type,
    semiri4939895301339042750nteger: fun_nat_Code_integer ).

tff(func_def_555,type,
    semiri3763490453095760265atural: fun_nat_Code_natural ).

tff(func_def_556,type,
    semiri1314217659103216013at_int: fun_nat_int ).

tff(func_def_557,type,
    semiri1316708129612266289at_nat: fun_nat_nat ).

tff(func_def_558,type,
    semiri681578069525770553at_rat: fun_nat_rat ).

tff(func_def_559,type,
    size_size_list_o: list_o > nat ).

tff(func_def_560,type,
    size_size_list_int: list_int > nat ).

tff(func_def_561,type,
    size_size_list_nat: list_nat > nat ).

tff(func_def_562,type,
    size_s1515746228057227161od_o_o: list_P4002435161011370285od_o_o > nat ).

tff(func_def_563,type,
    size_s2953683556165314199_o_int: list_P3795440434834930179_o_int > nat ).

tff(func_def_564,type,
    size_s5443766701097040955_o_nat: list_P6285523579766656935_o_nat > nat ).

tff(func_def_565,type,
    size_s4246224855604898693_int_o: list_P5087981734274514673_int_o > nat ).

tff(func_def_566,type,
    size_s5157815400016825771nt_int: list_P5707943133018811711nt_int > nat ).

tff(func_def_567,type,
    size_s7647898544948552527nt_nat: list_P8198026277950538467nt_nat > nat ).

tff(func_def_568,type,
    size_s6491369823275344609_nat_o: list_P7333126701944960589_nat_o > nat ).

tff(func_def_569,type,
    size_s2970893825323803983at_int: list_P3521021558325789923at_int > nat ).

tff(func_def_570,type,
    size_s5460976970255530739at_nat: list_P6011104703257516679at_nat > nat ).

tff(func_def_571,type,
    size_size_list_a: list_a > nat ).

tff(func_def_572,type,
    size_size_num: fun_num_nat ).

tff(func_def_573,type,
    size_size_char: char > nat ).

tff(func_def_574,type,
    size_size_typerep: fun_typerep_nat ).

tff(func_def_575,type,
    nat_int_decode: fun_nat_int ).

tff(func_def_576,type,
    nat_int_encode: fun_int_nat ).

tff(func_def_577,type,
    nat_list_decode: fun_nat_list_nat ).

tff(func_def_578,type,
    nat_list_decode_rel: fun_nat_fun_nat_o ).

tff(func_def_579,type,
    nat_list_encode: fun_list_nat_nat ).

tff(func_def_580,type,
    nat_list_encode_rel: fun_li1025265955262268170_nat_o ).

tff(func_def_581,type,
    nat_prod_decode: fun_na1476630412504255114at_nat ).

tff(func_def_582,type,
    nat_prod_decode_aux: nat > fun_na1476630412504255114at_nat ).

tff(func_def_583,type,
    nat_pr5047031295181774490ux_rel: fun_Pr2028404973800837934_nat_o ).

tff(func_def_584,type,
    nat_prod_encode: fun_Pr2602117396471556196at_nat ).

tff(func_def_585,type,
    nat_set_decode: fun_nat_set_nat ).

tff(func_def_586,type,
    nat_set_encode: fun_set_nat_nat ).

tff(func_def_587,type,
    nat_sum_decode: fun_na3635074868517587788at_nat ).

tff(func_def_588,type,
    nat_sum_encode: fun_Su884838341992399436at_nat ).

tff(func_def_589,type,
    nat_triangle: fun_nat_nat ).

tff(func_def_590,type,
    bitM: fun_num_num ).

tff(func_def_591,type,
    inc: fun_num_num ).

tff(func_def_592,type,
    nat_of_num: fun_num_nat ).

tff(func_def_593,type,
    neg_nu8804712462038260780nteger: fun_Co8499238673658658103nteger ).

tff(func_def_594,type,
    neg_numeral_dbl_int: fun_int_int ).

tff(func_def_595,type,
    neg_numeral_dbl_rat: fun_rat_rat ).

tff(func_def_596,type,
    neg_nu7757733837767384882nteger: fun_Co8499238673658658103nteger ).

tff(func_def_597,type,
    neg_nu3811975205180677377ec_int: fun_int_int ).

tff(func_def_598,type,
    neg_nu3179335615603231917ec_rat: fun_rat_rat ).

tff(func_def_599,type,
    neg_nu5831290666863070958nteger: fun_Co8499238673658658103nteger ).

tff(func_def_600,type,
    neg_nu5851722552734809277nc_int: fun_int_int ).

tff(func_def_601,type,
    neg_nu5219082963157363817nc_rat: fun_rat_rat ).

tff(func_def_602,type,
    neg_nu5755505904847501662nteger: num > fun_num_Code_integer ).

tff(func_def_603,type,
    neg_numeral_sub_int: num > fun_num_int ).

tff(func_def_604,type,
    neg_numeral_sub_rat: num > fun_num_rat ).

tff(func_def_605,type,
    bit0: fun_num_num ).

tff(func_def_606,type,
    bit1: fun_num_num ).

tff(func_def_607,type,
    one: num ).

tff(func_def_608,type,
    size_num: fun_num_nat ).

tff(func_def_609,type,
    num_of_nat: fun_nat_num ).

tff(func_def_610,type,
    numera6620942414471956472nteger: fun_num_Code_integer ).

tff(func_def_611,type,
    numera5444537566228673987atural: num > code_natural ).

tff(func_def_612,type,
    numeral_numeral_int: fun_num_int ).

tff(func_def_613,type,
    numeral_numeral_nat: fun_num_nat ).

tff(func_def_614,type,
    numeral_numeral_rat: fun_num_rat ).

tff(func_def_615,type,
    pow: num > fun_num_num ).

tff(func_def_616,type,
    pred_numeral: fun_num_nat ).

tff(func_def_617,type,
    ring_16219924574208605041nteger: fun_Code_integer_o ).

tff(func_def_618,type,
    ring_1_iszero_int: fun_int_o ).

tff(func_def_619,type,
    ring_1_iszero_rat: fun_rat_o ).

tff(func_def_620,type,
    sqr: fun_num_num ).

tff(func_def_621,type,
    none_num: option_num ).

tff(func_def_622,type,
    some_num: num > option_num ).

tff(func_def_623,type,
    some_P1914260805536162275it_nat: produc8664842809031399944it_nat > option8956607266484857688it_nat ).

tff(func_def_624,type,
    case_option_int_num: ( int * fun_num_int * option_num ) > int ).

tff(func_def_625,type,
    case_option_num_num: ( num * fun_num_num * option_num ) > num ).

tff(func_def_626,type,
    case_o6005452278849405969um_num: ( option_num * fun_num_option_num * option_num ) > option_num ).

tff(func_def_627,type,
    order_underS_nat: set_Pr1261947904930325089at_nat > fun_nat_set_nat ).

tff(func_def_628,type,
    order_2888998067076097458on_nat: set_nat > fun_se4782206882984618170_nat_o ).

tff(func_def_629,type,
    bot_bot_nat: nat ).

tff(func_def_630,type,
    bot_bo3990330152332043303nteger: set_Code_integer ).

tff(func_def_631,type,
    bot_bot_set_int: set_int ).

tff(func_def_632,type,
    bot_bot_set_list_nat: set_list_nat ).

tff(func_def_633,type,
    bot_bot_set_nat: set_nat ).

tff(func_def_634,type,
    bot_bot_set_num: set_num ).

tff(func_def_635,type,
    bot_bo2099793752762293965at_nat: set_Pr1261947904930325089at_nat ).

tff(func_def_636,type,
    bot_bo228742789529271731at_nat: set_Pr4329608150637261639at_nat ).

tff(func_def_637,type,
    bot_bo3957492148770167129t_unit: set_Product_unit ).

tff(func_def_638,type,
    bot_bot_set_rat: set_rat ).

tff(func_def_639,type,
    bot_bot_set_set_nat: set_set_nat ).

tff(func_def_640,type,
    bot_bo3083307316010499117at_nat: set_se7855581050983116737at_nat ).

tff(func_def_641,type,
    bot_bot_fun_nat_o: fun_nat_o ).

tff(func_def_642,type,
    ord_Least_nat: fun_nat_o > nat ).

tff(func_def_643,type,
    ord_le6747313008572928689nteger: fun_Co2081214437782444048eger_o ).

tff(func_def_644,type,
    ord_le5570908160329646204atural: fun_Co7302518231560758906ural_o ).

tff(func_def_645,type,
    ord_less_int: fun_int_fun_int_o ).

tff(func_def_646,type,
    ord_less_nat: fun_nat_fun_nat_o ).

tff(func_def_647,type,
    ord_less_num: fun_num_fun_num_o ).

tff(func_def_648,type,
    ord_less_rat: fun_rat_fun_rat_o ).

tff(func_def_649,type,
    ord_less_set_nat: set_nat > fun_set_nat_o ).

tff(func_def_650,type,
    ord_le7866589430770878221at_nat: set_Pr1261947904930325089at_nat > fun_se4782206882984618170_nat_o ).

tff(func_def_651,type,
    ord_le3102999989581377725nteger: fun_Co2081214437782444048eger_o ).

tff(func_def_652,type,
    ord_le1926595141338095240atural: fun_Co7302518231560758906ural_o ).

tff(func_def_653,type,
    ord_less_eq_int: fun_int_fun_int_o ).

tff(func_def_654,type,
    ord_less_eq_nat: fun_nat_fun_nat_o ).

tff(func_def_655,type,
    ord_less_eq_num: fun_num_fun_num_o ).

tff(func_def_656,type,
    ord_less_eq_rat: fun_rat_fun_rat_o ).

tff(func_def_657,type,
    ord_less_eq_set_nat: set_nat > fun_set_nat_o ).

tff(func_def_658,type,
    ord_le3146513528884898305at_nat: set_Pr1261947904930325089at_nat > fun_se4782206882984618170_nat_o ).

tff(func_def_659,type,
    ord_max_Code_integer: code_integer > fun_Co8499238673658658103nteger ).

tff(func_def_660,type,
    ord_max_Code_natural: ( code_natural * code_natural ) > code_natural ).

tff(func_def_661,type,
    ord_max_int: fun_int_fun_int_int ).

tff(func_def_662,type,
    ord_max_nat: fun_nat_fun_nat_nat ).

tff(func_def_663,type,
    ord_max_num: num > fun_num_num ).

tff(func_def_664,type,
    ord_max_rat: rat > fun_rat_rat ).

tff(func_def_665,type,
    ord_max_set_int: ( set_int * set_int ) > set_int ).

tff(func_def_666,type,
    ord_max_set_nat: ( set_nat * set_nat ) > set_nat ).

tff(func_def_667,type,
    ord_ma7524802468073614006at_nat: ( set_Pr1261947904930325089at_nat * set_Pr1261947904930325089at_nat ) > set_Pr1261947904930325089at_nat ).

tff(func_def_668,type,
    ord_ma6735246370732646428at_nat: ( set_Pr4329608150637261639at_nat * set_Pr4329608150637261639at_nat ) > set_Pr4329608150637261639at_nat ).

tff(func_def_669,type,
    ord_min_Code_integer: code_integer > fun_Co8499238673658658103nteger ).

tff(func_def_670,type,
    ord_min_Code_natural: ( code_natural * code_natural ) > code_natural ).

tff(func_def_671,type,
    ord_min_int: fun_int_fun_int_int ).

tff(func_def_672,type,
    ord_min_nat: fun_nat_fun_nat_nat ).

tff(func_def_673,type,
    ord_min_num: num > fun_num_num ).

tff(func_def_674,type,
    ord_min_rat: rat > fun_rat_rat ).

tff(func_def_675,type,
    ord_min_set_int: ( set_int * set_int ) > set_int ).

tff(func_def_676,type,
    ord_min_set_nat: ( set_nat * set_nat ) > set_nat ).

tff(func_def_677,type,
    ord_mi4194197829855655752at_nat: ( set_Pr1261947904930325089at_nat * set_Pr1261947904930325089at_nat ) > set_Pr1261947904930325089at_nat ).

tff(func_def_678,type,
    ord_mi6693596345299712430at_nat: ( set_Pr4329608150637261639at_nat * set_Pr4329608150637261639at_nat ) > set_Pr4329608150637261639at_nat ).

tff(func_def_679,type,
    order_Greatest_nat: fun_nat_o > nat ).

tff(func_def_680,type,
    ordering_top_nat: ( fun_nat_fun_nat_o * fun_nat_fun_nat_o ) > fun_nat_o ).

tff(func_def_681,type,
    top_top_set_int: set_int ).

tff(func_def_682,type,
    top_top_set_list_nat: set_list_nat ).

tff(func_def_683,type,
    top_top_set_nat: set_nat ).

tff(func_def_684,type,
    top_to4669805908274784177at_nat: set_Pr1261947904930325089at_nat ).

tff(func_def_685,type,
    top_to1996260823553986621t_unit: set_Product_unit ).

tff(func_def_686,type,
    top_top_set_char: set_char ).

tff(func_def_687,type,
    top_to6661820994512907621at_nat: set_Sum_sum_nat_nat ).

tff(func_def_688,type,
    power_8256067586552552935nteger: code_integer > fun_nat_Code_integer ).

tff(func_def_689,type,
    power_7079662738309270450atural: ( code_natural * nat ) > code_natural ).

tff(func_def_690,type,
    power_power_int: int > fun_nat_int ).

tff(func_def_691,type,
    power_power_nat: fun_nat_fun_nat_nat ).

tff(func_def_692,type,
    power_power_rat: rat > fun_nat_rat ).

tff(func_def_693,type,
    product_Pair_o_o: ( $o * $o ) > product_prod_o_o ).

tff(func_def_694,type,
    product_Pair_o_int: ( $o * int ) > product_prod_o_int ).

tff(func_def_695,type,
    product_Pair_o_nat: ( $o * nat ) > product_prod_o_nat ).

tff(func_def_696,type,
    produc6677183202524767010eger_o: ( code_integer * $o ) > produc6271795597528267376eger_o ).

tff(func_def_697,type,
    produc1086072967326762835nteger: ( code_integer * code_integer ) > produc8923325533196201883nteger ).

tff(func_def_698,type,
    produc3574140220909816553atural: ( code_natural * code_natural ) > produc7822875418678951345atural ).

tff(func_def_699,type,
    produc584006145561248582it_nat: ( heap_e7401611519738050253t_unit * nat ) > produc6653097349344004940it_nat ).

tff(func_def_700,type,
    product_Pair_int_o: ( int * $o ) > product_prod_int_o ).

tff(func_def_701,type,
    product_Pair_int_int: int > fun_in4211310926729683942nt_int ).

tff(func_def_702,type,
    product_Pair_int_nat: ( int * nat ) > product_prod_int_nat ).

tff(func_def_703,type,
    product_Pair_nat_o: ( nat * $o ) > product_prod_nat_o ).

tff(func_def_704,type,
    product_Pair_nat_int: ( nat * int ) > product_prod_nat_int ).

tff(func_def_705,type,
    product_Pair_nat_nat: nat > fun_na1476630412504255114at_nat ).

tff(func_def_706,type,
    produc6161850002892822231at_nat: ( product_prod_nat_nat * product_prod_nat_nat ) > produc859450856879609959at_nat ).

tff(func_def_707,type,
    produc7133225469290080770it_nat: ( product_unit * produc6653097349344004940it_nat ) > produc8664842809031399944it_nat ).

tff(func_def_708,type,
    produc2922128104949294807at_nat: ( set_Pr1261947904930325089at_nat * set_Pr1261947904930325089at_nat ) > produc3843707927480180839at_nat ).

tff(func_def_709,type,
    produc9060074326276436823at_nat: ( set_Pr4329608150637261639at_nat * set_Pr4329608150637261639at_nat ) > produc1319942482725812455at_nat ).

tff(func_def_710,type,
    produc457027306803732586at_nat: ( set_nat * fun_nat_set_nat ) > set_Pr1261947904930325089at_nat ).

tff(func_def_711,type,
    product_Unity: product_unit ).

tff(func_def_712,type,
    produc6499014454317279255nteger: fun_fu4800041728187187127nteger ).

tff(func_def_713,type,
    produc1553301316500091796er_int: ( fun_Co1092983284983208416er_int * produc8923325533196201883nteger ) > int ).

tff(func_def_714,type,
    produc1555791787009142072er_nat: ( fun_Co3583066429914935172er_nat * produc8923325533196201883nteger ) > nat ).

tff(func_def_715,type,
    produc7336495610019696514er_num: ( fun_Co8521658056209057742er_num * produc8923325533196201883nteger ) > num ).

tff(func_def_716,type,
    produc9125791028180074456eger_o: ( fun_Co3544761417380347684eger_o * produc8923325533196201883nteger ) > produc6271795597528267376eger_o ).

tff(func_def_717,type,
    produc6916734918728496179nteger: ( fun_Co2470855966376689427nteger * produc8923325533196201883nteger ) > produc8923325533196201883nteger ).

tff(func_def_718,type,
    produc4947309494688390418_int_o: fun_int_fun_int_o > fun_Pr3238374608701176162_int_o ).

tff(func_def_719,type,
    produc8211389475949308722nt_int: ( fun_int_fun_int_int * product_prod_int_int ) > int ).

tff(func_def_720,type,
    produc4245557441103728435nt_int: ( fun_in1696471567231710611nt_int * product_prod_int_int ) > product_prod_int_int ).

tff(func_def_721,type,
    produc6081775807080527818_nat_o: fun_nat_fun_nat_o > fun_Pr4796943543331071514_nat_o ).

tff(func_def_722,type,
    produc2761476792215241774st_nat: ( fun_na819858167508000762st_nat * product_prod_nat_nat ) > list_nat ).

tff(func_def_723,type,
    produc6842872674320459806at_nat: fun_nat_fun_nat_nat > fun_Pr2602117396471556196at_nat ).

tff(func_def_724,type,
    produc2626176000494625587at_nat: fun_na4138050610385705875at_nat > fun_Pr2118491707810114563at_nat ).

tff(func_def_725,type,
    produc6395135316500328296_nat_o: fun_na5914473681949881652_nat_o > fun_Pr2028404973800837934_nat_o ).

tff(func_def_726,type,
    produc4528391901023682385at_nat: fun_na1668100129766719005at_nat > fun_Pr2477239776880934807at_nat ).

tff(func_def_727,type,
    produc8508995932063986495nteger: produc8923325533196201883nteger > code_integer ).

tff(func_def_728,type,
    produc497848011034438852atural: produc5835291356934675326atural > code_natural ).

tff(func_def_729,type,
    product_fst_int_int: product_prod_int_int > int ).

tff(func_def_730,type,
    product_fst_nat_nat: product_prod_nat_nat > nat ).

tff(func_def_731,type,
    produc6174133586879617921nteger: produc8923325533196201883nteger > code_integer ).

tff(func_def_732,type,
    product_snd_int_int: product_prod_int_int > int ).

tff(func_def_733,type,
    product_snd_nat_nat: product_prod_nat_nat > nat ).

tff(func_def_734,type,
    quot_a8334514980957697477at_int: ( fun_Pr2028404973800837934_nat_o * fun_se9142667792015812128at_int ) > fun_Pr7647638413817135296at_int ).

tff(func_def_735,type,
    quot_r1512469584000298464at_nat: fun_in8804710076054006414at_nat > fun_in4514472496968388910at_nat ).

tff(func_def_736,type,
    log: ( code_natural * code_natural ) > code_natural ).

tff(func_def_737,type,
    log_rel: fun_Pr3592279944642289454ural_o ).

tff(func_def_738,type,
    minus_shift: ( code_natural * code_natural * code_natural ) > code_natural ).

tff(func_def_739,type,
    range: ( code_natural * produc7822875418678951345atural ) > produc5835291356934675326atural ).

tff(func_def_740,type,
    abs_Rat: fun_Pr1652463973008025892nt_rat ).

tff(func_def_741,type,
    fract: fun_int_fun_int_rat ).

tff(func_def_742,type,
    frct: product_prod_int_int > rat ).

tff(func_def_743,type,
    rep_Rat: fun_ra4503298312962071866nt_int ).

tff(func_def_744,type,
    normalize: product_prod_int_int > product_prod_int_int ).

tff(func_def_745,type,
    of_int: fun_int_rat ).

tff(func_def_746,type,
    pcr_rat: fun_Pr7537129237977221859_rat_o ).

tff(func_def_747,type,
    positive: fun_rat_o ).

tff(func_def_748,type,
    quotient_of: rat > product_prod_int_int ).

tff(func_def_749,type,
    ratrel: fun_Pr9018117161326028078_int_o ).

tff(func_def_750,type,
    domain452967906960104687nteger: fun_in4891666191172872833eger_o > fun_int_o ).

tff(func_def_751,type,
    domainp_int_int: fun_int_fun_int_o > fun_int_o ).

tff(func_def_752,type,
    domain8128281535334753374atural: fun_na2240068485812228818ural_o > fun_nat_o ).

tff(func_def_753,type,
    domainp_nat_nat: fun_nat_fun_nat_o > fun_nat_o ).

tff(func_def_754,type,
    domain7287725470393535433at_int: fun_Pr4738963024209204295_int_o > fun_Pr4796943543331071514_nat_o ).

tff(func_def_755,type,
    field_nat: set_Pr1261947904930325089at_nat > set_nat ).

tff(func_def_756,type,
    id_Pro2258643101195443293at_nat: set_Pr8693737435421807431at_nat ).

tff(func_def_757,type,
    algebr932160517623751201me_int: fun_int_fun_int_o ).

tff(func_def_758,type,
    algebr934650988132801477me_nat: fun_nat_fun_nat_o ).

tff(func_def_759,type,
    divide6298287555418463151nteger: fun_Co1981900195452921617nteger ).

tff(func_def_760,type,
    divide5121882707175180666atural: fun_Co6813818151677833714atural ).

tff(func_def_761,type,
    divide_divide_int: fun_int_fun_int_int ).

tff(func_def_762,type,
    divide_divide_nat: fun_nat_fun_nat_nat ).

tff(func_def_763,type,
    divide_divide_rat: rat > fun_rat_rat ).

tff(func_def_764,type,
    dvd_dvd_Code_integer: fun_Co2081214437782444048eger_o ).

tff(func_def_765,type,
    dvd_dvd_Code_natural: code_natural > fun_Code_natural_o ).

tff(func_def_766,type,
    dvd_dvd_int: fun_int_fun_int_o ).

tff(func_def_767,type,
    dvd_dvd_nat: fun_nat_fun_nat_o ).

tff(func_def_768,type,
    dvd_dvd_rat: fun_rat_fun_rat_o ).

tff(func_def_769,type,
    modulo364778990260209775nteger: fun_Co1981900195452921617nteger ).

tff(func_def_770,type,
    modulo8411746178871703098atural: fun_Co6813818151677833714atural ).

tff(func_def_771,type,
    modulo_modulo_int: fun_int_fun_int_int ).

tff(func_def_772,type,
    modulo_modulo_nat: fun_nat_fun_nat_nat ).

tff(func_def_773,type,
    normal571682499473568032ze_int: fun_int_int ).

tff(func_def_774,type,
    normal574172969982618308ze_nat: fun_nat_nat ).

tff(func_def_775,type,
    unit_f2746056213392204926or_int: fun_int_int ).

tff(func_def_776,type,
    unit_f2748546683901255202or_nat: fun_nat_nat ).

tff(func_def_777,type,
    zero_n356916108424825756nteger: fun_o_Code_integer ).

tff(func_def_778,type,
    zero_n8403883297036319079atural: fun_o_Code_natural ).

tff(func_def_779,type,
    zero_n2684676970156552555ol_int: fun_o_int ).

tff(func_def_780,type,
    zero_n2687167440665602831ol_nat: fun_o_nat ).

tff(func_def_781,type,
    zero_n2052037380579107095ol_rat: $o > rat ).

tff(func_def_782,type,
    collect_int: fun_int_o > set_int ).

tff(func_def_783,type,
    collect_list_nat: fun_list_nat_o > set_list_nat ).

tff(func_def_784,type,
    collect_nat: fun_nat_o > set_nat ).

tff(func_def_785,type,
    collec213857154873943460nt_int: fun_Pr3238374608701176162_int_o > set_Pr958786334691620121nt_int ).

tff(func_def_786,type,
    collec3392354462482085612at_nat: fun_Pr4796943543331071514_nat_o > set_Pr1261947904930325089at_nat ).

tff(func_def_787,type,
    collect_set_nat: fun_set_nat_o > set_set_nat ).

tff(func_def_788,type,
    collec5514110066124741708at_nat: fun_se4782206882984618170_nat_o > set_se7855581050983116737at_nat ).

tff(func_def_789,type,
    pow_nat: set_nat > set_set_nat ).

tff(func_def_790,type,
    image_int_int: ( fun_int_int * set_int ) > set_int ).

tff(func_def_791,type,
    image_int_nat: ( fun_int_nat * set_int ) > set_nat ).

tff(func_def_792,type,
    image_list_nat_nat: ( fun_list_nat_nat * set_list_nat ) > set_nat ).

tff(func_def_793,type,
    image_nat_int: ( fun_nat_int * set_nat ) > set_int ).

tff(func_def_794,type,
    image_nat_list_nat: ( fun_nat_list_nat * set_nat ) > set_list_nat ).

tff(func_def_795,type,
    image_nat_nat: ( fun_nat_nat * set_nat ) > set_nat ).

tff(func_def_796,type,
    image_5846123807819985514at_nat: ( fun_na1476630412504255114at_nat * set_nat ) > set_Pr1261947904930325089at_nat ).

tff(func_def_797,type,
    image_nat_set_nat: ( fun_nat_set_nat * set_nat ) > set_set_nat ).

tff(func_def_798,type,
    image_nat_char: ( fun_nat_char * set_nat ) > set_char ).

tff(func_def_799,type,
    image_678696785212003926at_nat: ( fun_na3635074868517587788at_nat * set_nat ) > set_Sum_sum_nat_nat ).

tff(func_def_800,type,
    image_2486076414777270412at_nat: ( fun_Pr2602117396471556196at_nat * set_Pr1261947904930325089at_nat ) > set_nat ).

tff(func_def_801,type,
    image_char_nat: ( fun_char_nat * set_char ) > set_nat ).

tff(func_def_802,type,
    image_1320371278474632150at_nat: ( fun_Su884838341992399436at_nat * set_Sum_sum_nat_nat ) > set_nat ).

tff(func_def_803,type,
    insert_int: ( int * set_int ) > set_int ).

tff(func_def_804,type,
    insert_list_nat: ( list_nat * set_list_nat ) > set_list_nat ).

tff(func_def_805,type,
    insert_nat: ( nat * set_nat ) > set_nat ).

tff(func_def_806,type,
    insert8211810215607154385at_nat: ( product_prod_nat_nat * set_Pr1261947904930325089at_nat ) > set_Pr1261947904930325089at_nat ).

tff(func_def_807,type,
    insert9069300056098147895at_nat: ( produc3843707927480180839at_nat * set_Pr4329608150637261639at_nat ) > set_Pr4329608150637261639at_nat ).

tff(func_def_808,type,
    insert_Product_unit: ( product_unit * set_Product_unit ) > set_Product_unit ).

tff(func_def_809,type,
    insert_set_nat: ( set_nat * set_set_nat ) > set_set_nat ).

tff(func_def_810,type,
    insert9200635055090092081at_nat: ( set_Pr1261947904930325089at_nat * set_se7855581050983116737at_nat ) > set_se7855581050983116737at_nat ).

tff(func_def_811,type,
    vimage_nat_nat: ( fun_nat_nat * set_nat ) > set_nat ).

tff(func_def_812,type,
    set_fo2584398358068434914at_nat: ( fun_nat_fun_nat_nat * nat ) > fun_nat_fun_nat_nat ).

tff(func_def_813,type,
    set_or189985376899183464nteger: ( code_integer * code_integer ) > set_Code_integer ).

tff(func_def_814,type,
    set_or1266510415728281911st_int: ( int * int ) > set_int ).

tff(func_def_815,type,
    set_or1269000886237332187st_nat: nat > fun_nat_set_nat ).

tff(func_def_816,type,
    set_or7049704709247886629st_num: ( num * num ) > set_num ).

tff(func_def_817,type,
    set_or633870826150836451st_rat: ( rat * rat ) > set_rat ).

tff(func_def_818,type,
    set_or4548717258645045905et_nat: ( set_nat * set_nat ) > set_set_nat ).

tff(func_def_819,type,
    set_or2784603332384507286at_nat: ( set_Pr1261947904930325089at_nat * set_Pr1261947904930325089at_nat ) > set_se7855581050983116737at_nat ).

tff(func_def_820,type,
    set_or4662586982721622107an_int: ( int * int ) > set_int ).

tff(func_def_821,type,
    set_or4665077453230672383an_nat: nat > fun_nat_set_nat ).

tff(func_def_822,type,
    set_ord_atLeast_nat: fun_nat_set_nat ).

tff(func_def_823,type,
    set_ord_atMost_nat: fun_nat_set_nat ).

tff(func_def_824,type,
    set_or6656581121297822940st_int: ( int * int ) > set_int ).

tff(func_def_825,type,
    set_or6659071591806873216st_nat: nat > fun_nat_set_nat ).

tff(func_def_826,type,
    set_or5832277885323065728an_int: ( int * int ) > set_int ).

tff(func_def_827,type,
    set_or5834768355832116004an_nat: nat > fun_nat_set_nat ).

tff(func_def_828,type,
    set_or1210151606488870762an_nat: fun_nat_set_nat ).

tff(func_def_829,type,
    set_ord_lessThan_nat: fun_nat_set_nat ).

tff(func_def_830,type,
    char2: ( $o * $o * $o * $o * $o * $o * $o * $o ) > char ).

tff(func_def_831,type,
    size_char: char > nat ).

tff(func_def_832,type,
    comm_s629917340098488124ar_nat: fun_char_nat ).

tff(func_def_833,type,
    unique3096191561947761185of_nat: fun_nat_char ).

tff(func_def_834,type,
    sum_Inl_nat_nat: nat > sum_sum_nat_nat ).

tff(func_def_835,type,
    sum_Inr_nat_nat: nat > sum_sum_nat_nat ).

tff(func_def_836,type,
    sum_ca7763040182479039464nt_nat: ( fun_nat_int * fun_nat_int * sum_sum_nat_nat ) > int ).

tff(func_def_837,type,
    sum_ca6763686470577984908at_nat: ( fun_nat_nat * fun_nat_nat * sum_sum_nat_nat ) > nat ).

tff(func_def_838,type,
    transi2905341329935302413cl_nat: set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat ).

tff(func_def_839,type,
    transi6264000038957366511cl_nat: set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat ).

tff(func_def_840,type,
    transi2163837189807498211lp_nat: fun_nat_fun_nat_o > fun_nat_fun_nat_o ).

tff(func_def_841,type,
    type_d4410041424927559462al_nat: ( fun_Code_natural_nat * fun_nat_Code_natural ) > fun_set_nat_o ).

tff(func_def_842,type,
    typerep2: ( literal * list_typerep ) > typerep ).

tff(func_def_843,type,
    size_typerep: fun_typerep_nat ).

tff(func_def_844,type,
    accp_list_nat: fun_li1025265955262268170_nat_o > fun_list_nat_o ).

tff(func_def_845,type,
    accp_nat: fun_nat_fun_nat_o > fun_nat_o ).

tff(func_def_846,type,
    accp_P4275260045618599050at_nat: fun_Pr2028404973800837934_nat_o > fun_Pr4796943543331071514_nat_o ).

tff(func_def_847,type,
    less_than: set_Pr1261947904930325089at_nat ).

tff(func_def_848,type,
    lex_prod_nat_nat: ( set_Pr1261947904930325089at_nat * set_Pr1261947904930325089at_nat ) > set_Pr8693737435421807431at_nat ).

tff(func_def_849,type,
    max_ex8135407076693332796at_nat: set_Pr8693737435421807431at_nat > set_Pr4329608150637261639at_nat ).

tff(func_def_850,type,
    min_ex6901939911449802026at_nat: set_Pr8693737435421807431at_nat > set_Pr4329608150637261639at_nat ).

tff(func_def_851,type,
    pred_nat: set_Pr1261947904930325089at_nat ).

tff(func_def_852,type,
    wf_nat: fun_se4782206882984618170_nat_o ).

tff(func_def_853,type,
    aa_o_Code_integer: ( fun_o_Code_integer * $o ) > code_integer ).

tff(func_def_854,type,
    aa_o_Code_natural: ( fun_o_Code_natural * $o ) > code_natural ).

tff(func_def_855,type,
    aa_o_int: ( fun_o_int * $o ) > int ).

tff(func_def_856,type,
    aa_o_nat: ( fun_o_nat * $o ) > nat ).

tff(func_def_857,type,
    aa_o_fun_o_o: ( fun_o_fun_o_o * $o ) > fun_o_o ).

tff(func_def_858,type,
    aa_Cod1783974652533396728nteger: ( fun_Co8499238673658658103nteger * code_integer ) > code_integer ).

tff(func_def_859,type,
    aa_Cod607569804290114243atural: ( fun_Co3734316457315071362atural * code_integer ) > code_natural ).

tff(func_def_860,type,
    aa_Code_integer_int: ( fun_Code_integer_int * code_integer ) > int ).

tff(func_def_861,type,
    aa_Code_integer_nat: ( fun_Code_integer_nat * code_integer ) > nat ).

tff(func_def_862,type,
    aa_Code_integer_num: ( fun_Code_integer_num * code_integer ) > num ).

tff(func_def_863,type,
    aa_Cod3168588076859124107eger_o: ( fun_Co1766037875893669450eger_o * code_integer ) > produc6271795597528267376eger_o ).

tff(func_def_864,type,
    aa_Cod6977894654539884864nteger: ( fun_Co6597186368970283863nteger * code_integer ) > produc8923325533196201883nteger ).

tff(func_def_865,type,
    aa_Code_integer_rat: ( fun_Code_integer_rat * code_integer ) > rat ).

tff(func_def_866,type,
    aa_Cod326357343816142457eger_o: ( fun_Co2081214437782444048eger_o * code_integer ) > fun_Code_integer_o ).

tff(func_def_867,type,
    aa_Cod4161879620478718930nteger: ( fun_Co1981900195452921617nteger * code_integer ) > fun_Co8499238673658658103nteger ).

tff(func_def_868,type,
    aa_Cod1242632294114111009er_int: ( fun_Co1092983284983208416er_int * code_integer ) > fun_Code_integer_int ).

tff(func_def_869,type,
    aa_Cod5420483313623307717er_nat: ( fun_Co3583066429914935172er_nat * code_integer ) > fun_Code_integer_nat ).

tff(func_def_870,type,
    aa_Cod6128727250572145423er_num: ( fun_Co8521658056209057742er_num * code_integer ) > fun_Code_integer_num ).

tff(func_def_871,type,
    aa_Cod1096751537565085541eger_o: ( fun_Co3544761417380347684eger_o * code_integer ) > fun_Co1766037875893669450eger_o ).

tff(func_def_872,type,
    aa_Cod8380929501330563836nteger: ( fun_Co2470855966376689427nteger * code_integer ) > fun_Co6597186368970283863nteger ).

tff(func_def_873,type,
    aa_Cod1075288278386115654_nat_o: ( fun_Co1375048237525739357_nat_o * code_integer ) > fun_nat_o ).

tff(func_def_874,type,
    aa_Cod5448446754359732931nteger: ( fun_Co2940338738630218498nteger * code_natural ) > code_integer ).

tff(func_def_875,type,
    aa_Cod4272041906116450446atural: ( fun_Co7398788559141407565atural * code_natural ) > code_natural ).

tff(func_def_876,type,
    aa_Code_natural_nat: ( fun_Code_natural_nat * code_natural ) > nat ).

tff(func_def_877,type,
    aa_Cod1485054954640246627ural_o: ( fun_Co7302518231560758906ural_o * code_natural ) > fun_Code_natural_o ).

tff(func_def_878,type,
    aa_Cod5141017464274028979atural: ( fun_Co6813818151677833714atural * code_natural ) > fun_Co7398788559141407565atural ).

tff(func_def_879,type,
    aa_Cod9120328075896114107_nat_o: ( fun_Co196715998180962002_nat_o * code_natural ) > fun_nat_o ).

tff(func_def_880,type,
    aa_hea5848002036693495265it_nat: ( fun_he1033112309995878576it_nat * heap_e7401611519738050253t_unit ) > nat ).

tff(func_def_881,type,
    aa_hea684056619475940329it_nat: ( fun_he5234484606919320760it_nat * heap_e7401611519738050253t_unit ) > option8956607266484857688it_nat ).

tff(func_def_882,type,
    aa_int_Code_integer: ( fun_int_Code_integer * int ) > code_integer ).

tff(func_def_883,type,
    aa_int_int: ( fun_int_int * int ) > int ).

tff(func_def_884,type,
    aa_int_nat: ( fun_int_nat * int ) > nat ).

tff(func_def_885,type,
    aa_int_num: ( fun_int_num * int ) > num ).

tff(func_def_886,type,
    aa_int7462565939943104719nt_int: ( fun_in4211310926729683942nt_int * int ) > product_prod_int_int ).

tff(func_def_887,type,
    aa_int1417691210696471063at_nat: ( fun_in4514472496968388910at_nat * int ) > product_prod_nat_nat ).

tff(func_def_888,type,
    aa_int_rat: ( fun_int_rat * int ) > rat ).

tff(func_def_889,type,
    aa_int8822742982810151799at_nat: ( fun_in8804710076054006414at_nat * int ) > set_Pr1261947904930325089at_nat ).

tff(func_def_890,type,
    aa_int5993532643906289898eger_o: ( fun_in4891666191172872833eger_o * int ) > fun_Code_integer_o ).

tff(func_def_891,type,
    aa_int_fun_int_o: ( fun_int_fun_int_o * int ) > fun_int_o ).

tff(func_def_892,type,
    aa_int_fun_int_int: ( fun_int_fun_int_int * int ) > fun_int_int ).

tff(func_def_893,type,
    aa_int2565445551602696444nt_int: ( fun_in1696471567231710611nt_int * int ) > fun_in4211310926729683942nt_int ).

tff(func_def_894,type,
    aa_int_fun_int_rat: ( fun_int_fun_int_rat * int ) > fun_int_rat ).

tff(func_def_895,type,
    aa_int2464330468366073224_int_o: ( fun_in5570076352459579423_int_o * int ) > fun_int_fun_int_o ).

tff(func_def_896,type,
    aa_int1966403025003302569nt_int: ( fun_in2204242111582549184nt_int * int ) > fun_in1696471567231710611nt_int ).

tff(func_def_897,type,
    aa_int_fun_nat_o: ( fun_int_fun_nat_o * int ) > fun_nat_o ).

tff(func_def_898,type,
    aa_list_nat_nat: ( fun_list_nat_nat * list_nat ) > nat ).

tff(func_def_899,type,
    aa_nat_Code_integer: ( fun_nat_Code_integer * nat ) > code_integer ).

tff(func_def_900,type,
    aa_nat_Code_natural: ( fun_nat_Code_natural * nat ) > code_natural ).

tff(func_def_901,type,
    aa_nat_int: ( fun_nat_int * nat ) > int ).

tff(func_def_902,type,
    aa_nat_list_nat: ( fun_nat_list_nat * nat ) > list_nat ).

tff(func_def_903,type,
    aa_nat_nat: ( fun_nat_nat * nat ) > nat ).

tff(func_def_904,type,
    aa_nat_num: ( fun_nat_num * nat ) > num ).

tff(func_def_905,type,
    aa_nat7603221163087113075at_nat: ( fun_na1476630412504255114at_nat * nat ) > product_prod_nat_nat ).

tff(func_def_906,type,
    aa_nat_rat: ( fun_nat_rat * nat ) > rat ).

tff(func_def_907,type,
    aa_nat_set_nat: ( fun_nat_set_nat * nat ) > set_nat ).

tff(func_def_908,type,
    aa_nat7431386967378518541at_nat: ( fun_na3635074868517587788at_nat * nat ) > sum_sum_nat_nat ).

tff(func_def_909,type,
    aa_nat_fun_o_o: ( fun_nat_fun_o_o * nat ) > fun_o_o ).

tff(func_def_910,type,
    aa_nat6383147911832638789nteger: ( fun_na7078387940644931716nteger * nat ) > fun_Co8499238673658658103nteger ).

tff(func_def_911,type,
    aa_nat8502700792446211003ural_o: ( fun_na2240068485812228818ural_o * nat ) > fun_Code_natural_o ).

tff(func_def_912,type,
    aa_nat5282697797315388251atural: ( fun_na607345901702507418atural * nat ) > fun_Co7398788559141407565atural ).

tff(func_def_913,type,
    aa_nat_fun_int_o: ( fun_nat_fun_int_o * nat ) > fun_int_o ).

tff(func_def_914,type,
    aa_nat_fun_int_int: ( fun_nat_fun_int_int * nat ) > fun_int_int ).

tff(func_def_915,type,
    aa_nat5883842100386203267_nat_o: ( fun_na7234455742697417626_nat_o * nat ) > fun_list_nat_o ).

tff(func_def_916,type,
    aa_nat_fun_nat_o: ( fun_nat_fun_nat_o * nat ) > fun_nat_o ).

tff(func_def_917,type,
    aa_nat6157064778417537467st_nat: ( fun_na819858167508000762st_nat * nat ) > fun_nat_list_nat ).

tff(func_def_918,type,
    aa_nat_fun_nat_nat: ( fun_nat_fun_nat_nat * nat ) > fun_nat_nat ).

tff(func_def_919,type,
    aa_nat8803788312118491388at_nat: ( fun_na4138050610385705875at_nat * nat ) > fun_na1476630412504255114at_nat ).

tff(func_def_920,type,
    aa_nat8314798964848609180_nat_o: ( fun_na7928631014926962227_nat_o * nat ) > fun_nat_fun_nat_o ).

tff(func_def_921,type,
    aa_nat3783148529270815480at_nat: ( fun_na3244735409550470327at_nat * nat ) > fun_nat_fun_nat_nat ).

tff(func_def_922,type,
    aa_nat4158579785191972357at_nat: ( fun_na4143055713577223196at_nat * nat ) > fun_na4138050610385705875at_nat ).

tff(func_def_923,type,
    aa_nat4259715169212259317_nat_o: ( fun_na5914473681949881652_nat_o * nat ) > fun_na3970208099681795815_nat_o ).

tff(func_def_924,type,
    aa_nat5682243440470347102at_nat: ( fun_na1668100129766719005at_nat * nat ) > fun_na8713714802964096592at_nat ).

tff(func_def_925,type,
    aa_nat7695548938202568488_nat_o: ( fun_na3970208099681795815_nat_o * nat ) > fun_Pr4796943543331071514_nat_o ).

tff(func_def_926,type,
    aa_nat7997280740862404369at_nat: ( fun_na8713714802964096592at_nat * nat ) > fun_Pr2118491707810114563at_nat ).

tff(func_def_927,type,
    aa_nat_fun_set_nat_o: ( fun_na8563630686737515764_nat_o * nat ) > fun_set_nat_o ).

tff(func_def_928,type,
    aa_num_Code_integer: ( fun_num_Code_integer * num ) > code_integer ).

tff(func_def_929,type,
    aa_num_int: ( fun_num_int * num ) > int ).

tff(func_def_930,type,
    aa_num_nat: ( fun_num_nat * num ) > nat ).

tff(func_def_931,type,
    aa_num_num: ( fun_num_num * num ) > num ).

tff(func_def_932,type,
    aa_num_option_num: ( fun_num_option_num * num ) > option_num ).

tff(func_def_933,type,
    aa_num_rat: ( fun_num_rat * num ) > rat ).

tff(func_def_934,type,
    aa_num_fun_num_o: ( fun_num_fun_num_o * num ) > fun_num_o ).

tff(func_def_935,type,
    aa_num5808785979904431436nteger: ( fun_nu2537414170016844299nteger * num ) > fun_num_Code_integer ).

tff(func_def_936,type,
    aa_num_fun_num_int: ( fun_num_fun_num_int * num ) > fun_num_int ).

tff(func_def_937,type,
    aa_Pro4693618923521437820nteger: ( fun_Pr5876161306168176259nteger * produc8923325533196201883nteger ) > produc8923325533196201883nteger ).

tff(func_def_938,type,
    aa_Pro6970504127699319548nt_int: ( fun_Pr2478283820680522243nt_int * product_prod_int_int ) > product_prod_int_int ).

tff(func_def_939,type,
    aa_Pro6166618844887768661nt_rat: ( fun_Pr1652463973008025892nt_rat * product_prod_int_int ) > rat ).

tff(func_def_940,type,
    aa_Pro3952998155787061599_int_o: ( fun_Pr9018117161326028078_int_o * product_prod_int_int ) > fun_Pr3238374608701176162_int_o ).

tff(func_def_941,type,
    aa_Pro4124234152028750080nt_int: ( fun_Pr1308109350235310159nt_int * product_prod_int_int ) > fun_Pr2478283820680522243nt_int ).

tff(func_def_942,type,
    aa_Pro2298929076809959388_rat_o: ( fun_Pr7537129237977221859_rat_o * product_prod_int_int ) > fun_rat_o ).

tff(func_def_943,type,
    aa_Pro4240683299535347697at_int: ( fun_Pr7647638413817135296at_int * product_prod_nat_nat ) > int ).

tff(func_def_944,type,
    aa_Pro4243173770044397973at_nat: ( fun_Pr2602117396471556196at_nat * product_prod_nat_nat ) > nat ).

tff(func_def_945,type,
    aa_Pro262675715343573244at_nat: ( fun_Pr2118491707810114563at_nat * product_prod_nat_nat ) > product_prod_nat_nat ).

tff(func_def_946,type,
    aa_Pro2912763917461432128_int_o: ( fun_Pr4738963024209204295_int_o * product_prod_nat_nat ) > fun_int_o ).

tff(func_def_947,type,
    aa_Pro989595756709598047_nat_o: ( fun_Pr2028404973800837934_nat_o * product_prod_nat_nat ) > fun_Pr4796943543331071514_nat_o ).

tff(func_def_948,type,
    aa_Pro8023792847356852296at_nat: ( fun_Pr2477239776880934807at_nat * product_prod_nat_nat ) > fun_Pr2118491707810114563at_nat ).

tff(func_def_949,type,
    aa_rat_Code_integer: ( fun_rat_Code_integer * rat ) > code_integer ).

tff(func_def_950,type,
    aa_rat_int: ( fun_rat_int * rat ) > int ).

tff(func_def_951,type,
    aa_rat_nat: ( fun_rat_nat * rat ) > nat ).

tff(func_def_952,type,
    aa_rat_num: ( fun_rat_num * rat ) > num ).

tff(func_def_953,type,
    aa_rat7754553326175492643nt_int: ( fun_ra4503298312962071866nt_int * rat ) > product_prod_int_int ).

tff(func_def_954,type,
    aa_rat_rat: ( fun_rat_rat * rat ) > rat ).

tff(func_def_955,type,
    aa_rat_fun_rat_o: ( fun_rat_fun_rat_o * rat ) > fun_rat_o ).

tff(func_def_956,type,
    aa_rat_fun_rat_rat: ( fun_rat_fun_rat_rat * rat ) > fun_rat_rat ).

tff(func_def_957,type,
    aa_set_nat_nat: ( fun_set_nat_nat * set_nat ) > nat ).

tff(func_def_958,type,
    aa_set4746584241299694929at_int: ( fun_se9142667792015812128at_int * set_Pr1261947904930325089at_nat ) > int ).

tff(func_def_959,type,
    aa_char_nat: ( fun_char_nat * char ) > nat ).

tff(func_def_960,type,
    aa_Sum8073061460641146765at_nat: ( fun_Su884838341992399436at_nat * sum_sum_nat_nat ) > nat ).

tff(func_def_961,type,
    aa_typerep_nat: ( fun_typerep_nat * typerep ) > nat ).

tff(func_def_962,type,
    aa_typ4282566853489190079st_nat: ( fun_ty25169735533777662st_nat * typerep ) > fun_nat_list_nat ).

tff(func_def_963,type,
    aa_typ1677793487006219183at_nat: ( fun_ty5154387363802369006at_nat * typerep ) > fun_nat_nat ).

tff(func_def_964,type,
    aa_fun2509385170507305080nteger: ( fun_fu4800041728187187127nteger * fun_Co8499238673658658103nteger ) > fun_Pr5876161306168176259nteger ).

tff(func_def_965,type,
    aa_fun8964553180794676938nteger: ( fun_fu6921880696561781257nteger * fun_int_int ) > fun_Co8499238673658658103nteger ).

tff(func_def_966,type,
    aa_fun6864876441520360999eger_o: ( fun_fu726873822431485118eger_o * fun_int_int ) > fun_fu1769128043447206010eger_o ).

tff(func_def_967,type,
    aa_fun2545150047610057353_int_o: ( fun_fu4208408993564413984_int_o * fun_int_int ) > fun_fun_int_int_o ).

tff(func_def_968,type,
    aa_fun4840518763754620511at_o_o: ( fun_fu7564235448449272366at_o_o * fun_nat_o ) > fun_fun_nat_o_o ).

tff(func_def_969,type,
    aa_fun5114738747585492520atural: ( fun_fu6924846375782198887atural * fun_nat_nat ) > fun_Co7398788559141407565atural ).

tff(func_def_970,type,
    aa_fun7534057414028546889ural_o: ( fun_fu2034268335391280352ural_o * fun_nat_nat ) > fun_fu2916398056546941156ural_o ).

tff(func_def_971,type,
    aa_fun2341495900663639033_nat_o: ( fun_fu9201817095025044880_nat_o * fun_nat_nat ) > fun_fun_nat_nat_o ).

tff(func_def_972,type,
    aa_fun7041730090766645614at_rat: ( fun_fu1098312133097393581at_rat * fun_Pr2478283820680522243nt_int ) > fun_rat_rat ).

tff(func_def_973,type,
    aa_fun3734617511155415725_int_o: ( fun_fu5323616038969315652_int_o * fun_Pr2478283820680522243nt_int ) > fun_fu7503566767892366382_int_o ).

tff(func_def_974,type,
    aa_fun382765352565706371_rat_o: ( fun_fu4306744791715064858_rat_o * fun_Pr2478283820680522243nt_int ) > fun_fun_rat_rat_o ).

tff(func_def_975,type,
    aa_fun8399641135911395862nt_int: ( fun_fu3064074204415222357nt_int * fun_Pr2118491707810114563at_nat ) > fun_int_int ).

tff(func_def_976,type,
    aa_fun856177901615811547_int_o: ( fun_fu4638078822479986034_int_o * fun_Pr2118491707810114563at_nat ) > fun_fun_int_int_o ).

tff(func_def_977,type,
    aa_fun6920661532540581549_nat_o: ( fun_fu3373238862511017284_nat_o * fun_Pr2118491707810114563at_nat ) > fun_fu8391177546919232046_nat_o ).

tff(func_def_978,type,
    fequal_o: fun_o_fun_o_o ).

tff(func_def_979,type,
    fequal_int: fun_int_fun_int_o ).

tff(func_def_980,type,
    fequal_nat: fun_nat_fun_nat_o ).

tff(func_def_981,type,
    fequal_num: fun_num_fun_num_o ).

tff(func_def_982,type,
    fequal_fun_nat_o: fun_fu7564235448449272366at_o_o ).

tff(func_def_983,type,
    member_nat: nat > fun_set_nat_o ).

tff(func_def_984,type,
    member8440522571783428010at_nat: product_prod_nat_nat > fun_se4782206882984618170_nat_o ).

tff(func_def_985,type,
    a: array_a ).

tff(func_def_986,type,
    h: heap_e7401611519738050253t_unit ).

tff(func_def_987,type,
    h2: heap_e7401611519738050253t_unit ).

tff(func_def_988,type,
    n: nat ).

tff(func_def_989,type,
    r: nat ).

tff(func_def_990,type,
    k0: code_integer ).

tff(func_def_991,type,
    k1: code_integer ).

tff(func_def_992,type,
    d2: int ).

tff(func_def_993,type,
    a23: int ).

tff(func_def_994,type,
    a24: int ).

tff(func_def_995,type,
    l5: code_integer ).

tff(func_def_996,type,
    m6: nat ).

tff(func_def_997,type,
    m7: nat ).

tff(func_def_998,type,
    l28: int ).

tff(func_def_999,type,
    l29: num ).

tff(func_def_1000,type,
    l310: num ).

tff(func_def_1001,type,
    l211: nat ).

tff(func_def_1002,type,
    l312: nat ).

tff(func_def_1005,type,
    iG13: ( $o * heap_Time_Heap_nat * heap_Time_Heap_nat ) > heap_Time_Heap_nat ).

tff(func_def_1006,type,
    iG14: ( $o * heap_Time_Heap_nat * heap_Time_Heap_nat ) > heap_Time_Heap_nat ).

tff(func_def_1007,type,
    iG15: ( $o * nat * nat ) > nat ).

tff(func_def_1008,type,
    iG16: ( $o * nat * nat ) > int ).

tff(func_def_1009,type,
    iG17: int > int ).

tff(func_def_1010,type,
    iG18: nat > nat ).

tff(func_def_1011,type,
    iG19: nat > code_natural ).

tff(func_def_1012,type,
    iG20: nat > rat ).

tff(func_def_1013,type,
    iG21: nat > code_integer ).

tff(func_def_1014,type,
    iG22: nat > int ).

tff(func_def_1015,type,
    iG23: ( rat * rat * rat ) > rat ).

tff(func_def_1016,type,
    iG24: ( nat * nat * nat ) > nat ).

tff(func_def_1017,type,
    iG25: ( int * int * int ) > int ).

tff(func_def_1018,type,
    iG26: ( code_integer * code_integer * code_integer ) > code_integer ).

tff(func_def_1019,type,
    iG27: ( code_natural * code_natural * code_natural ) > code_natural ).

tff(func_def_1020,type,
    iG28: rat > rat ).

tff(func_def_1021,type,
    iG29: ( nat * nat * nat ) > nat ).

tff(func_def_1022,type,
    iG30: int > int ).

tff(func_def_1023,type,
    iG31: ( nat * nat ) > nat ).

tff(func_def_1024,type,
    iG32: ( rat * rat * rat ) > rat ).

tff(func_def_1025,type,
    iG34: ( rat * rat * rat ) > rat ).

tff(func_def_1026,type,
    iG35: ( rat * rat * rat ) > rat ).

tff(func_def_1027,type,
    iG36: ( nat * nat ) > nat ).

tff(func_def_1028,type,
    iG39: ( nat * nat ) > nat ).

tff(func_def_1029,type,
    iG46: int > int ).

tff(func_def_1030,type,
    iG47: int > int ).

tff(func_def_1031,type,
    iG58: int > int ).

tff(func_def_1032,type,
    iG59: int > int ).

tff(func_def_1033,type,
    iG60: code_integer > code_integer ).

tff(func_def_1034,type,
    iG61: code_integer > code_integer ).

tff(func_def_1035,type,
    iG62: rat > rat ).

tff(func_def_1036,type,
    iG63: rat > rat ).

tff(func_def_1037,type,
    iG68: ( int * int ) > int ).

tff(func_def_1038,type,
    iG69: ( int * int ) > int ).

tff(func_def_1039,type,
    iG70: ( int * int ) > int ).

tff(func_def_1040,type,
    iG71: ( int * int ) > int ).

tff(func_def_1041,type,
    iG72: ( nat * nat ) > int ).

tff(func_def_1042,type,
    bG73: ( nat * nat ) > $o ).

tff(func_def_1043,type,
    iG74: ( int * int * nat * nat ) > int ).

tff(func_def_1044,type,
    iG75: ( int * int * nat * nat ) > int ).

tff(func_def_1045,type,
    bG76: $o > $o ).

tff(func_def_1046,type,
    bG77: $o > $o ).

tff(func_def_1047,type,
    bG78: $o > $o ).

tff(func_def_1048,type,
    bG79: $o > $o ).

tff(func_def_1049,type,
    bG80: $o > $o ).

tff(func_def_1050,type,
    bG81: $o > $o ).

tff(func_def_1051,type,
    bG82: $o > $o ).

tff(func_def_1052,type,
    bG83: $o > $o ).

tff(func_def_1053,type,
    bG84: $o > $o ).

tff(func_def_1054,type,
    bG85: $o > $o ).

tff(func_def_1055,type,
    bG86: $o > $o ).

tff(func_def_1056,type,
    bG87: $o > $o ).

tff(func_def_1057,type,
    bG88: $o > $o ).

tff(func_def_1058,type,
    bG89: $o > $o ).

tff(func_def_1059,type,
    bG90: $o > $o ).

tff(func_def_1060,type,
    bG91: $o > $o ).

tff(func_def_1061,type,
    bG92: $o > $o ).

tff(func_def_1062,type,
    bG93: $o > $o ).

tff(func_def_1063,type,
    bG94: $o > $o ).

tff(func_def_1064,type,
    bG95: $o > $o ).

tff(func_def_1065,type,
    bG96: $o > $o ).

tff(func_def_1066,type,
    bG97: $o > $o ).

tff(func_def_1067,type,
    bG98: $o > $o ).

tff(func_def_1068,type,
    bG99: $o > $o ).

tff(func_def_1069,type,
    bG100: $o > $o ).

tff(func_def_1070,type,
    bG101: $o > $o ).

tff(func_def_1071,type,
    bG102: $o > $o ).

tff(func_def_1072,type,
    bG103: $o > $o ).

tff(func_def_1073,type,
    bG104: $o > $o ).

tff(func_def_1074,type,
    bG105: $o > $o ).

tff(func_def_1075,type,
    bG106: $o > $o ).

tff(func_def_1076,type,
    bG107: $o > $o ).

tff(func_def_1077,type,
    bG108: $o > $o ).

tff(func_def_1078,type,
    bG109: $o > $o ).

tff(func_def_1079,type,
    bG110: $o > $o ).

tff(func_def_1080,type,
    bG111: $o > $o ).

tff(func_def_1081,type,
    bG112: $o > $o ).

tff(func_def_1082,type,
    bG113: $o > $o ).

tff(func_def_1083,type,
    bG114: $o > $o ).

tff(func_def_1084,type,
    bG115: $o > $o ).

tff(func_def_1085,type,
    bG116: $o > $o ).

tff(func_def_1086,type,
    bG117: $o > $o ).

tff(func_def_1087,type,
    bG118: $o > $o ).

tff(func_def_1088,type,
    bG119: $o > $o ).

tff(func_def_1089,type,
    bG120: $o > $o ).

tff(func_def_1090,type,
    bG121: $o > $o ).

tff(func_def_1091,type,
    bG122: $o > $o ).

tff(func_def_1092,type,
    bG123: $o > $o ).

tff(func_def_1093,type,
    bG124: $o > $o ).

tff(func_def_1094,type,
    bG125: $o > $o ).

tff(func_def_1095,type,
    bG126: code_integer > $o ).

tff(func_def_1096,type,
    bG127: rat > $o ).

tff(func_def_1097,type,
    bG128: int > $o ).

tff(func_def_1098,type,
    bG129: nat > $o ).

tff(func_def_1099,type,
    bG130: nat > $o ).

tff(func_def_1100,type,
    bG131: nat > $o ).

tff(func_def_1101,type,
    bG132: nat > $o ).

tff(func_def_1102,type,
    bG133: $o > $o ).

tff(func_def_1103,type,
    bG134: $o > $o ).

tff(func_def_1104,type,
    bG135: $o > $o ).

tff(func_def_1105,type,
    bG136: $o > $o ).

tff(func_def_1106,type,
    bG137: ( $o * $o ) > $o ).

tff(func_def_1107,type,
    bG138: $o > $o ).

tff(func_def_1108,type,
    bG139: $o > $o ).

tff(func_def_1109,type,
    bG140: ( $o * $o ) > $o ).

tff(func_def_1110,type,
    bG141: $o > $o ).

tff(func_def_1111,type,
    bG142: $o > $o ).

tff(func_def_1112,type,
    bG143: ( $o * $o ) > $o ).

tff(func_def_1113,type,
    bG144: $o > $o ).

tff(func_def_1114,type,
    bG145: $o > $o ).

tff(func_def_1115,type,
    bG146: ( $o * $o ) > $o ).

tff(func_def_1116,type,
    bG147: $o > $o ).

tff(func_def_1117,type,
    bG148: $o > $o ).

tff(func_def_1118,type,
    bG149: $o > $o ).

tff(func_def_1119,type,
    bG150: $o > $o ).

tff(func_def_1120,type,
    bG151: $o > $o ).

tff(func_def_1121,type,
    bG152: $o > $o ).

tff(func_def_1122,type,
    bG153: $o > $o ).

tff(func_def_1123,type,
    bG154: $o > $o ).

tff(func_def_1124,type,
    bG155: $o > $o ).

tff(func_def_1125,type,
    bG156: $o > $o ).

tff(func_def_1126,type,
    bG157: $o > $o ).

tff(func_def_1127,type,
    bG158: $o > $o ).

tff(func_def_1128,type,
    bG159: $o > $o ).

tff(func_def_1129,type,
    iG160: $o > code_integer ).

tff(func_def_1130,type,
    bG161: $o > $o ).

tff(func_def_1131,type,
    iG162: $o > rat ).

tff(func_def_1132,type,
    bG163: $o > $o ).

tff(func_def_1133,type,
    iG164: $o > code_natural ).

tff(func_def_1134,type,
    bG165: $o > $o ).

tff(func_def_1135,type,
    iG166: $o > nat ).

tff(func_def_1136,type,
    bG167: $o > $o ).

tff(func_def_1137,type,
    iG168: $o > int ).

tff(func_def_1138,type,
    bG169: $o > $o ).

tff(func_def_1139,type,
    bG170: $o > $o ).

tff(func_def_1140,type,
    bG171: $o > $o ).

tff(func_def_1141,type,
    bG172: $o > $o ).

tff(func_def_1142,type,
    bG173: $o > $o ).

tff(func_def_1143,type,
    bG174: $o > $o ).

tff(func_def_1144,type,
    bG175: $o > $o ).

tff(func_def_1145,type,
    bG176: $o > $o ).

tff(func_def_1146,type,
    bG177: $o > $o ).

tff(func_def_1147,type,
    bG178: $o > $o ).

tff(func_def_1148,type,
    iG179: ( rat * rat * rat ) > rat ).

tff(func_def_1149,type,
    iG180: ( rat * rat * rat ) > rat ).

tff(func_def_1150,type,
    bG181: ( nat * nat ) > $o ).

tff(func_def_1151,type,
    iG182: ( int * int * nat * nat ) > int ).

tff(func_def_1152,type,
    iG183: ( int * int * nat * nat ) > int ).

tff(func_def_1153,type,
    iG184: ( rat * rat * rat ) > rat ).

tff(func_def_1154,type,
    iG185: ( nat * nat ) > nat ).

tff(func_def_1155,type,
    iG186: ( int * int ) > int ).

tff(func_def_1156,type,
    iG187: ( rat * rat ) > rat ).

tff(func_def_1157,type,
    iG188: ( nat * nat ) > nat ).

tff(func_def_1158,type,
    iG189: ( nat * nat ) > nat ).

tff(func_def_1159,type,
    bG190: ( int * int ) > $o ).

tff(func_def_1160,type,
    iG191: ( int * int ) > int ).

tff(func_def_1161,type,
    iG192: ( int * int ) > int ).

tff(func_def_1162,type,
    bG193: $o > $o ).

tff(func_def_1163,type,
    bG194: $o > $o ).

tff(func_def_1164,type,
    bG195: $o > $o ).

tff(func_def_1165,type,
    bG196: $o > $o ).

tff(func_def_1166,type,
    bG197: $o > $o ).

tff(func_def_1167,type,
    bG198: $o > $o ).

tff(func_def_1168,type,
    bG199: $o > $o ).

tff(func_def_1169,type,
    bG200: $o > $o ).

tff(func_def_1170,type,
    bG201: code_integer > $o ).

tff(func_def_1171,type,
    bG202: rat > $o ).

tff(func_def_1172,type,
    bG203: int > $o ).

tff(func_def_1173,type,
    bG204: code_integer > $o ).

tff(func_def_1174,type,
    bG205: rat > $o ).

tff(func_def_1175,type,
    bG206: int > $o ).

tff(func_def_1176,type,
    iG207: int > int ).

tff(func_def_1177,type,
    iG208: code_integer > code_integer ).

tff(func_def_1178,type,
    iG209: rat > rat ).

tff(func_def_1179,type,
    iG210: int > int ).

tff(func_def_1180,type,
    iG211: code_integer > code_integer ).

tff(func_def_1181,type,
    iG212: rat > rat ).

tff(func_def_1182,type,
    bG213: ( int * int ) > $o ).

tff(func_def_1183,type,
    iG214: int > int ).

tff(func_def_1184,type,
    iG215: code_integer > code_integer ).

tff(func_def_1185,type,
    iG216: rat > rat ).

tff(func_def_1186,type,
    iG217: int > int ).

tff(func_def_1187,type,
    iG218: nat > nat ).

tff(func_def_1188,type,
    iG219: nat > int ).

tff(func_def_1189,type,
    iG220: nat > code_integer ).

tff(func_def_1190,type,
    iG221: nat > rat ).

tff(func_def_1191,type,
    iG222: nat > code_natural ).

tff(func_def_1192,type,
    bG223: ( int * int ) > $o ).

tff(func_def_1193,type,
    iG224: ( int * int ) > int ).

tff(func_def_1194,type,
    iG225: ( int * int ) > int ).

tff(func_def_1195,type,
    iG226: ( nat * nat ) > nat ).

tff(func_def_1196,type,
    iG227: nat > code_integer ).

tff(func_def_1197,type,
    iG228: nat > rat ).

tff(func_def_1198,type,
    iG229: nat > code_natural ).

tff(func_def_1199,type,
    iG230: nat > int ).

tff(func_def_1200,type,
    iG231: nat > nat ).

tff(func_def_1201,type,
    iG232: ( nat * nat * nat ) > nat ).

tff(func_def_1202,type,
    iG233: ( nat * nat * int ) > int ).

tff(func_def_1203,type,
    iG234: ( nat * nat * code_integer ) > code_integer ).

tff(func_def_1204,type,
    iG235: ( nat * nat * code_natural ) > code_natural ).

tff(func_def_1205,type,
    iG236: ( nat * code_natural ) > code_natural ).

tff(func_def_1206,type,
    iG237: ( nat * code_integer ) > code_integer ).

tff(func_def_1207,type,
    iG238: ( nat * rat ) > rat ).

tff(func_def_1208,type,
    iG239: ( nat * nat ) > nat ).

tff(func_def_1209,type,
    iG240: ( nat * int ) > int ).

tff(func_def_1210,type,
    iG241: rat > rat ).

tff(func_def_1211,type,
    bG246: $o > $o ).

tff(func_def_1212,type,
    bG247: $o > $o ).

tff(func_def_1213,type,
    bG248: $o > $o ).

tff(func_def_1214,type,
    bG249: $o > $o ).

tff(func_def_1215,type,
    bG250: $o > $o ).

tff(func_def_1216,type,
    bG251: $o > $o ).

tff(func_def_1217,type,
    iG272: int > int ).

tff(func_def_1218,type,
    iG273: int > code_integer ).

tff(func_def_1219,type,
    iG274: int > rat ).

tff(func_def_1220,type,
    iG275: rat > int ).

tff(func_def_1221,type,
    iG276: ( rat * rat ) > int ).

tff(func_def_1222,type,
    bG277: $o > $o ).

tff(func_def_1223,type,
    bG278: $o > $o ).

tff(func_def_1224,type,
    bG279: $o > $o ).

tff(func_def_1225,type,
    bG280: $o > $o ).

tff(func_def_1226,type,
    bG281: nat > $o ).

tff(func_def_1227,type,
    bG282: nat > $o ).

tff(func_def_1228,type,
    bG283: nat > $o ).

tff(func_def_1229,type,
    bG284: nat > $o ).

tff(func_def_1230,type,
    bG285: nat > $o ).

tff(func_def_1231,type,
    bG286: nat > $o ).

tff(func_def_1232,type,
    bG287: nat > $o ).

tff(func_def_1233,type,
    bG288: nat > $o ).

tff(func_def_1234,type,
    bG289: nat > $o ).

tff(func_def_1235,type,
    bG290: nat > $o ).

tff(func_def_1236,type,
    bG291: nat > $o ).

tff(func_def_1237,type,
    bG292: nat > $o ).

tff(func_def_1238,type,
    iG293: ( nat * int ) > int ).

tff(func_def_1239,type,
    iG294: ( nat * code_integer ) > code_integer ).

tff(func_def_1240,type,
    iG295: ( nat * rat ) > rat ).

tff(func_def_1241,type,
    iG296: nat > nat ).

tff(func_def_1242,type,
    iG297: int > int ).

tff(func_def_1243,type,
    iG298: code_integer > code_integer ).

tff(func_def_1244,type,
    iG299: code_natural > code_natural ).

tff(func_def_1245,type,
    bG300: $o > $o ).

tff(func_def_1246,type,
    bG301: $o > $o ).

tff(func_def_1247,type,
    bG302: $o > $o ).

tff(func_def_1248,type,
    bG303: $o > $o ).

tff(func_def_1249,type,
    bG304: $o > $o ).

tff(func_def_1250,type,
    bG305: $o > $o ).

tff(func_def_1251,type,
    bG306: $o > $o ).

tff(func_def_1252,type,
    bG307: $o > $o ).

tff(func_def_1253,type,
    iG308: nat > int ).

tff(func_def_1254,type,
    iG309: nat > code_integer ).

tff(func_def_1255,type,
    iG310: nat > rat ).

tff(func_def_1256,type,
    bG311: ( nat * nat ) > $o ).

tff(func_def_1257,type,
    bG312: ( nat * nat ) > $o ).

tff(func_def_1258,type,
    bG313: ( nat * nat ) > $o ).

tff(func_def_1259,type,
    bG314: ( nat * nat ) > $o ).

tff(func_def_1260,type,
    bG315: ( nat * nat ) > $o ).

tff(func_def_1261,type,
    bG316: ( nat * nat ) > $o ).

tff(func_def_1262,type,
    bG317: ( nat * nat ) > $o ).

tff(func_def_1263,type,
    bG318: ( nat * nat ) > $o ).

tff(func_def_1264,type,
    iG319: rat > int ).

tff(func_def_1265,type,
    bG320: int > $o ).

tff(func_def_1266,type,
    bG321: nat > $o ).

tff(func_def_1267,type,
    bG322: code_integer > $o ).

tff(func_def_1268,type,
    bG323: code_natural > $o ).

tff(func_def_1269,type,
    iG324: ( nat * code_integer ) > code_integer ).

tff(func_def_1270,type,
    iG325: ( nat * int ) > int ).

tff(func_def_1271,type,
    iG326: ( nat * int ) > int ).

tff(func_def_1272,type,
    iG327: ( nat * nat ) > nat ).

tff(func_def_1273,type,
    iG328: ( nat * code_integer ) > code_integer ).

tff(func_def_1274,type,
    iG329: ( nat * code_natural ) > code_natural ).

tff(func_def_1275,type,
    iG330: ( int * int ) > int ).

tff(func_def_1276,type,
    iG331: ( int * int ) > int ).

tff(func_def_1277,type,
    iG332: ( int * int ) > int ).

tff(func_def_1278,type,
    bG333: nat > $o ).

tff(func_def_1279,type,
    bG334: nat > $o ).

tff(func_def_1280,type,
    bG335: nat > $o ).

tff(func_def_1281,type,
    bG336: nat > $o ).

tff(func_def_1282,type,
    bG337: nat > $o ).

tff(func_def_1283,type,
    bG338: nat > $o ).

tff(func_def_1284,type,
    bG339: nat > $o ).

tff(func_def_1285,type,
    bG340: ( nat * nat ) > $o ).

tff(func_def_1286,type,
    bG341: ( nat * nat ) > $o ).

tff(func_def_1287,type,
    bG342: ( nat * nat ) > $o ).

tff(func_def_1288,type,
    bG343: ( nat * nat ) > $o ).

tff(func_def_1289,type,
    bG344: nat > $o ).

tff(func_def_1290,type,
    bG345: nat > $o ).

tff(func_def_1291,type,
    bG346: nat > $o ).

tff(func_def_1292,type,
    bG347: nat > $o ).

tff(func_def_1293,type,
    iG348: ( nat * nat ) > fun_Co8499238673658658103nteger ).

tff(func_def_1294,type,
    iG349: ( nat * nat ) > fun_int_int ).

tff(func_def_1295,type,
    iG350: ( nat * nat * int ) > int ).

tff(func_def_1296,type,
    iG351: ( nat * nat * nat ) > nat ).

tff(func_def_1297,type,
    iG352: ( nat * nat * code_integer ) > code_integer ).

tff(func_def_1298,type,
    iG353: ( nat * nat * code_natural ) > code_natural ).

tff(func_def_1299,type,
    iG354: ( nat * nat * int ) > int ).

tff(func_def_1300,type,
    iG355: ( nat * nat * nat ) > nat ).

tff(func_def_1301,type,
    iG356: ( nat * nat * code_integer ) > code_integer ).

tff(func_def_1302,type,
    iG357: ( nat * nat * code_natural ) > code_natural ).

tff(func_def_1303,type,
    iG358: ( nat * nat * int ) > int ).

tff(func_def_1304,type,
    iG359: ( nat * nat * nat ) > nat ).

tff(func_def_1305,type,
    iG360: ( nat * nat * code_integer ) > code_integer ).

tff(func_def_1306,type,
    iG361: ( nat * nat * code_natural ) > code_natural ).

tff(func_def_1307,type,
    iG362: ( nat * nat * nat * fun_nat_fun_nat_nat ) > nat ).

tff(func_def_1308,type,
    iG363: ( nat * nat * nat * fun_nat_fun_nat_nat ) > nat ).

tff(func_def_1309,type,
    iG364: ( nat * nat ) > nat ).

tff(func_def_1310,type,
    iG365: ( nat * nat ) > nat ).

tff(func_def_1311,type,
    bG366: ( int * int ) > $o ).

tff(func_def_1312,type,
    bG367: ( nat * nat ) > $o ).

tff(func_def_1313,type,
    bG368: nat > $o ).

tff(func_def_1314,type,
    bG369: nat > $o ).

tff(func_def_1315,type,
    bG370: int > $o ).

tff(func_def_1316,type,
    bG371: int > $o ).

tff(func_def_1317,type,
    bG372: code_integer > $o ).

tff(func_def_1318,type,
    bG373: code_integer > $o ).

tff(func_def_1319,type,
    bG374: code_natural > $o ).

tff(func_def_1320,type,
    bG375: code_natural > $o ).

tff(func_def_1321,type,
    bG376: nat > $o ).

tff(func_def_1322,type,
    bG377: nat > $o ).

tff(func_def_1323,type,
    bG378: int > $o ).

tff(func_def_1324,type,
    bG379: int > $o ).

tff(func_def_1325,type,
    bG380: code_integer > $o ).

tff(func_def_1326,type,
    bG381: code_integer > $o ).

tff(func_def_1327,type,
    bG382: code_natural > $o ).

tff(func_def_1328,type,
    bG383: code_natural > $o ).

tff(func_def_1329,type,
    iG384: ( int * nat ) > int ).

tff(func_def_1330,type,
    iG385: ( nat * nat ) > nat ).

tff(func_def_1331,type,
    iG386: ( code_integer * nat ) > code_integer ).

tff(func_def_1332,type,
    iG387: ( code_natural * nat ) > code_natural ).

tff(func_def_1333,type,
    bG388: nat > $o ).

tff(func_def_1334,type,
    bG389: nat > $o ).

tff(func_def_1335,type,
    iG390: ( nat * nat ) > nat ).

tff(func_def_1336,type,
    iG391: ( nat * nat ) > nat ).

tff(func_def_1337,type,
    iG392: ( nat * nat ) > nat ).

tff(func_def_1338,type,
    bG393: ( nat * nat ) > $o ).

tff(func_def_1339,type,
    bG394: ( int * int ) > $o ).

tff(func_def_1340,type,
    iG395: ( int * int ) > int ).

tff(func_def_1341,type,
    iG396: ( int * int ) > int ).

tff(func_def_1342,type,
    iG397: ( int * int ) > int ).

tff(func_def_1343,type,
    iG398: ( int * int ) > int ).

tff(func_def_1344,type,
    bG399: ( nat * int ) > $o ).

tff(func_def_1345,type,
    bG400: ( nat * int ) > $o ).

tff(func_def_1346,type,
    bG401: $o > $o ).

tff(func_def_1347,type,
    bG402: $o > $o ).

tff(func_def_1348,type,
    bG403: $o > $o ).

tff(func_def_1349,type,
    bG404: $o > $o ).

tff(func_def_1350,type,
    bG405: ( nat * int ) > $o ).

tff(func_def_1351,type,
    bG414: int > $o ).

tff(func_def_1352,type,
    bG415: ( nat * int ) > $o ).

tff(func_def_1353,type,
    bG416: ( nat * int ) > $o ).

tff(func_def_1354,type,
    bG417: ( int * int ) > $o ).

tff(func_def_1355,type,
    bG418: $o > $o ).

tff(func_def_1356,type,
    bG419: ( nat * $o ) > $o ).

tff(func_def_1357,type,
    bG420: $o > $o ).

tff(func_def_1358,type,
    bG421: ( nat * $o ) > $o ).

tff(func_def_1359,type,
    bG422: $o > $o ).

tff(func_def_1360,type,
    bG423: ( nat * $o ) > $o ).

tff(func_def_1361,type,
    bG424: $o > $o ).

tff(func_def_1362,type,
    bG425: ( nat * $o ) > $o ).

tff(func_def_1363,type,
    bG426: nat > $o ).

tff(func_def_1364,type,
    bG427: nat > $o ).

tff(func_def_1365,type,
    bG428: nat > $o ).

tff(func_def_1366,type,
    bG429: nat > $o ).

tff(func_def_1367,type,
    bG430: int > $o ).

tff(func_def_1368,type,
    bG431: nat > $o ).

tff(func_def_1369,type,
    bG432: code_integer > $o ).

tff(func_def_1370,type,
    bG433: code_natural > $o ).

tff(func_def_1371,type,
    bG434: int > $o ).

tff(func_def_1372,type,
    bG435: nat > $o ).

tff(func_def_1373,type,
    bG436: code_integer > $o ).

tff(func_def_1374,type,
    bG437: code_natural > $o ).

tff(func_def_1375,type,
    bG438: ( nat * code_integer ) > $o ).

tff(func_def_1376,type,
    bG439: ( nat * int ) > $o ).

tff(func_def_1377,type,
    bG440: nat > $o ).

tff(func_def_1378,type,
    bG441: nat > $o ).

tff(func_def_1379,type,
    iG442: ( nat * int ) > int ).

tff(func_def_1380,type,
    iG443: ( nat * nat ) > nat ).

tff(func_def_1381,type,
    iG444: ( nat * code_integer ) > code_integer ).

tff(func_def_1382,type,
    iG445: ( nat * code_natural ) > code_natural ).

tff(func_def_1383,type,
    bG446: ( nat * nat ) > $o ).

tff(func_def_1384,type,
    iG447: ( int * int ) > int ).

tff(func_def_1385,type,
    iG448: ( int * int ) > int ).

tff(func_def_1386,type,
    iG449: ( int * int ) > int ).

tff(func_def_1387,type,
    iG450: ( nat * nat ) > nat ).

tff(func_def_1388,type,
    iG451: ( nat * nat ) > nat ).

tff(func_def_1389,type,
    bG452: ( $o * $o ) > $o ).

tff(func_def_1390,type,
    bG453: $o > $o ).

tff(func_def_1391,type,
    bG454: $o > $o ).

tff(func_def_1392,type,
    bG455: ( $o * $o ) > $o ).

tff(func_def_1393,type,
    bG456: $o > $o ).

tff(func_def_1394,type,
    bG457: $o > $o ).

tff(func_def_1395,type,
    bG458: ( $o * $o ) > $o ).

tff(func_def_1396,type,
    bG459: $o > $o ).

tff(func_def_1397,type,
    bG460: $o > $o ).

tff(func_def_1398,type,
    bG461: ( $o * $o ) > $o ).

tff(func_def_1399,type,
    bG462: $o > $o ).

tff(func_def_1400,type,
    bG463: $o > $o ).

tff(func_def_1401,type,
    iG464: ( num * num ) > code_integer ).

tff(func_def_1402,type,
    iG465: ( num * num ) > code_natural ).

tff(func_def_1403,type,
    iG466: ( num * num ) > rat ).

tff(func_def_1404,type,
    iG467: ( num * num ) > nat ).

tff(func_def_1405,type,
    iG468: ( num * num ) > int ).

tff(func_def_1406,type,
    iG469: ( num * num ) > code_integer ).

tff(func_def_1407,type,
    iG470: ( num * num ) > rat ).

tff(func_def_1408,type,
    iG471: ( num * num ) > int ).

tff(func_def_1409,type,
    iG472: ( num * num ) > code_integer ).

tff(func_def_1410,type,
    iG473: ( num * num ) > rat ).

tff(func_def_1411,type,
    iG474: ( num * num ) > int ).

tff(func_def_1412,type,
    iG475: ( num * num ) > code_integer ).

tff(func_def_1413,type,
    iG476: ( num * num ) > rat ).

tff(func_def_1414,type,
    iG477: ( num * num ) > int ).

tff(func_def_1415,type,
    bG478: nat > $o ).

tff(func_def_1416,type,
    iG479: ( code_integer * code_integer ) > code_integer ).

tff(func_def_1417,type,
    iG480: ( code_natural * code_natural ) > code_natural ).

tff(func_def_1418,type,
    iG481: ( set_nat * set_nat ) > set_nat ).

tff(func_def_1419,type,
    iG482: ( rat * rat ) > rat ).

tff(func_def_1420,type,
    iG483: ( num * num ) > num ).

tff(func_def_1421,type,
    iG484: ( nat * nat ) > nat ).

tff(func_def_1422,type,
    iG485: ( int * int ) > int ).

tff(func_def_1423,type,
    iG486: nat > num ).

tff(func_def_1424,type,
    bG487: ( nat * list_o ) > $o ).

tff(func_def_1425,type,
    bG488: $o > $o ).

tff(func_def_1426,type,
    iG489: nat > int ).

tff(func_def_1427,type,
    iG490: nat > code_integer ).

tff(func_def_1428,type,
    iG491: nat > nat ).

tff(func_def_1429,type,
    iG492: nat > rat ).

tff(func_def_1430,type,
    iG493: nat > code_natural ).

tff(func_def_1431,type,
    iG494: ( num * num ) > code_integer ).

tff(func_def_1432,type,
    iG495: ( num * num ) > code_natural ).

tff(func_def_1433,type,
    iG496: ( num * num ) > rat ).

tff(func_def_1434,type,
    iG497: ( num * num ) > nat ).

tff(func_def_1435,type,
    iG498: ( num * num ) > int ).

tff(func_def_1436,type,
    iG499: ( num * num ) > code_integer ).

tff(func_def_1437,type,
    iG500: ( num * num ) > rat ).

tff(func_def_1438,type,
    iG501: ( num * num ) > int ).

tff(func_def_1439,type,
    iG502: ( num * num ) > code_integer ).

tff(func_def_1440,type,
    iG503: ( num * num ) > rat ).

tff(func_def_1441,type,
    iG504: ( num * num ) > int ).

tff(func_def_1442,type,
    iG505: ( num * num ) > code_integer ).

tff(func_def_1443,type,
    iG506: ( num * num ) > rat ).

tff(func_def_1444,type,
    iG507: ( num * num ) > int ).

tff(func_def_1445,type,
    iG508: ( code_integer * code_integer ) > code_integer ).

tff(func_def_1446,type,
    iG509: ( code_natural * code_natural ) > code_natural ).

tff(func_def_1447,type,
    iG510: ( set_nat * set_nat ) > set_nat ).

tff(func_def_1448,type,
    iG511: ( rat * rat ) > rat ).

tff(func_def_1449,type,
    iG512: ( num * num ) > num ).

tff(func_def_1450,type,
    iG513: ( nat * nat ) > nat ).

tff(func_def_1451,type,
    iG514: ( int * int ) > int ).

tff(func_def_1452,type,
    iG515: ( code_integer * code_integer * code_integer ) > code_integer ).

tff(func_def_1453,type,
    iG516: ( rat * rat * rat ) > rat ).

tff(func_def_1454,type,
    iG517: ( int * int * int ) > int ).

tff(func_def_1455,type,
    iG518: ( code_integer * code_integer * code_integer ) > code_integer ).

tff(func_def_1456,type,
    iG519: ( rat * rat * rat ) > rat ).

tff(func_def_1457,type,
    iG520: ( int * int * int ) > int ).

tff(func_def_1458,type,
    iG521: ( code_integer * code_integer * code_integer ) > code_integer ).

tff(func_def_1459,type,
    iG522: ( rat * rat * rat ) > rat ).

tff(func_def_1460,type,
    iG523: ( int * int * int ) > int ).

tff(func_def_1461,type,
    iG524: ( code_integer * code_integer * code_integer ) > code_integer ).

tff(func_def_1462,type,
    iG525: ( rat * rat * rat ) > rat ).

tff(func_def_1463,type,
    iG526: ( int * int * int ) > int ).

tff(func_def_1464,type,
    iG527: ( rat * rat * rat ) > rat ).

tff(func_def_1465,type,
    iG528: ( rat * rat * rat ) > rat ).

tff(func_def_1466,type,
    bG529: ( int * int ) > $o ).

tff(func_def_1467,type,
    bG530: ( int * int ) > $o ).

tff(func_def_1468,type,
    iG531: ( int * int ) > int ).

tff(func_def_1469,type,
    bG532: ( int * int ) > $o ).

tff(func_def_1470,type,
    bG533: ( int * int ) > $o ).

tff(func_def_1471,type,
    iG534: ( int * int ) > int ).

tff(func_def_1472,type,
    iG535: ( nat * num * nat ) > product_prod_nat_nat ).

tff(func_def_1473,type,
    iG536: ( int * num * int ) > product_prod_int_int ).

tff(func_def_1474,type,
    iG537: ( code_integer * num * code_integer ) > produc8923325533196201883nteger ).

tff(func_def_1475,type,
    iG538: ( int * int ) > set_int ).

tff(func_def_1476,type,
    bG539: $o > $o ).

tff(func_def_1477,type,
    bG540: $o > $o ).

tff(func_def_1478,type,
    bG541: $o > $o ).

tff(func_def_1479,type,
    bG542: $o > $o ).

tff(func_def_1480,type,
    bG543: $o > $o ).

tff(func_def_1481,type,
    iG544: ( nat * list_int * int ) > int ).

tff(func_def_1482,type,
    iG545: ( nat * list_nat * nat ) > nat ).

tff(func_def_1483,type,
    bG558: $o > $o ).

tff(func_def_1484,type,
    bG559: $o > $o ).

tff(func_def_1485,type,
    iG560: ( num * num ) > product_prod_nat_nat ).

tff(func_def_1486,type,
    iG561: ( num * num ) > product_prod_int_int ).

tff(func_def_1487,type,
    iG562: ( num * num ) > produc8923325533196201883nteger ).

tff(func_def_1488,type,
    iG563: ( num * num ) > product_prod_nat_nat ).

tff(func_def_1489,type,
    iG564: ( num * num ) > product_prod_int_int ).

tff(func_def_1490,type,
    iG565: ( num * num ) > produc8923325533196201883nteger ).

tff(func_def_1491,type,
    bG566: ( list_o * nat * list_o ) > $o ).

tff(func_def_1492,type,
    bG567: ( list_o * nat ) > $o ).

tff(func_def_1493,type,
    bG568: ( list_nat * nat * list_o ) > $o ).

tff(func_def_1494,type,
    bG569: ( list_int * nat * list_o ) > $o ).

tff(func_def_1495,type,
    bG570: ( list_o * nat ) > $o ).

tff(func_def_1496,type,
    bG571: ( list_o * nat ) > $o ).

tff(func_def_1497,type,
    iG572: ( num * num ) > product_prod_nat_nat ).

tff(func_def_1498,type,
    iG573: ( num * num ) > product_prod_int_int ).

tff(func_def_1499,type,
    iG574: ( num * num ) > produc8923325533196201883nteger ).

tff(func_def_1500,type,
    bG575: int > $o ).

tff(func_def_1501,type,
    iG576: ( int * int ) > int ).

tff(func_def_1502,type,
    iG577: ( int * int ) > int ).

tff(func_def_1503,type,
    bG580: ( int * int ) > $o ).

tff(func_def_1504,type,
    bG581: ( int * int ) > $o ).

tff(func_def_1505,type,
    iG582: ( int * int ) > int ).

tff(func_def_1506,type,
    bG583: ( int * int ) > $o ).

tff(func_def_1507,type,
    bG584: ( int * int ) > $o ).

tff(func_def_1508,type,
    iG585: ( int * int ) > int ).

tff(func_def_1509,type,
    bG586: $o > $o ).

tff(func_def_1510,type,
    iG587: ( int * int * list_int ) > list_int ).

tff(func_def_1511,type,
    bG588: code_integer > $o ).

tff(func_def_1512,type,
    bG589: ( nat * list_o ) > $o ).

tff(func_def_1513,type,
    bG590: ( nat * list_o ) > $o ).

tff(func_def_1514,type,
    bG591: ( nat * list_o ) > $o ).

tff(func_def_1515,type,
    bG592: ( nat * list_o ) > $o ).

tff(func_def_1516,type,
    bG593: ( nat * list_o ) > $o ).

tff(func_def_1517,type,
    bG594: ( nat * list_o ) > $o ).

tff(func_def_1518,type,
    iG595: ( set_se7855581050983116737at_nat * set_Pr1261947904930325089at_nat ) > nat ).

tff(func_def_1519,type,
    iG596: ( set_list_nat * list_nat ) > nat ).

tff(func_def_1520,type,
    iG597: ( set_Product_unit * product_unit ) > nat ).

tff(func_def_1521,type,
    iG598: ( set_set_nat * set_nat ) > nat ).

tff(func_def_1522,type,
    iG599: ( set_int * int ) > nat ).

tff(func_def_1523,type,
    iG600: ( set_Pr1261947904930325089at_nat * product_prod_nat_nat ) > nat ).

tff(func_def_1524,type,
    iG601: ( set_Pr4329608150637261639at_nat * produc3843707927480180839at_nat ) > nat ).

tff(func_def_1525,type,
    iG602: ( set_nat * nat ) > nat ).

tff(func_def_1526,type,
    iG603: code_integer > code_integer ).

tff(func_def_1527,type,
    iG604: code_integer > code_integer ).

tff(func_def_1528,type,
    iG605: code_integer > code_integer ).

tff(func_def_1529,type,
    iG606: ( nat * nat ) > product_prod_nat_nat ).

tff(func_def_1530,type,
    iG607: ( nat * nat ) > product_prod_nat_nat ).

tff(func_def_1531,type,
    iG608: rat > rat ).

tff(func_def_1532,type,
    iG609: rat > rat ).

tff(func_def_1533,type,
    iG610: rat > rat ).

tff(func_def_1534,type,
    iG611: ( nat * nat ) > product_prod_int_int ).

tff(func_def_1535,type,
    iG612: ( nat * nat ) > product_prod_int_int ).

tff(func_def_1536,type,
    iG613: ( int * int ) > int ).

tff(func_def_1537,type,
    iG614: ( nat * nat ) > product_prod_int_int ).

tff(func_def_1538,type,
    iG615: ( nat * nat ) > nat ).

tff(func_def_1539,type,
    iG616: ( nat * nat ) > nat ).

tff(func_def_1540,type,
    iG617: ( nat * nat ) > product_prod_nat_nat ).

tff(func_def_1541,type,
    iG618: ( nat * nat ) > nat ).

tff(func_def_1542,type,
    iG619: ( int * int ) > int ).

tff(func_def_1543,type,
    iG620: ( int * int ) > list_int ).

tff(func_def_1544,type,
    iG621: ( int * int ) > list_int ).

tff(func_def_1545,type,
    iG622: ( num * num ) > list_int ).

tff(func_def_1546,type,
    iG623: ( num * num ) > list_int ).

tff(func_def_1547,type,
    iG624: ( num * num ) > list_int ).

tff(func_def_1548,type,
    iG625: ( num * num ) > list_int ).

tff(func_def_1549,type,
    iG626: ( int * int ) > list_int ).

tff(func_def_1550,type,
    iG627: ( int * int ) > list_int ).

tff(func_def_1551,type,
    iG628: product_prod_int_int > product_prod_int_int ).

tff(func_def_1552,type,
    iG629: ( num * num ) > list_nat ).

tff(func_def_1553,type,
    iG630: ( nat * nat ) > list_nat ).

tff(func_def_1554,type,
    iG631: ( nat * nat ) > list_nat ).

tff(func_def_1555,type,
    iG632: ( nat * nat ) > set_nat ).

tff(func_def_1556,type,
    iG633: ( num * nat ) > set_nat ).

tff(func_def_1557,type,
    lG634: num > code_integer ).

tff(func_def_1558,type,
    lG635: num > code_integer ).

tff(func_def_1559,type,
    lG636: ( int * int ) > int ).

tff(func_def_1560,type,
    iG637: ( int * int ) > nat ).

tff(func_def_1561,type,
    iG638: ( int * int ) > nat ).

tff(func_def_1562,type,
    iG639: ( nat * nat ) > set_nat ).

tff(func_def_1563,type,
    iG640: ( nat * nat * nat ) > set_nat ).

tff(func_def_1564,type,
    lG641: product_prod_int_int > int ).

tff(func_def_1565,type,
    lG642: product_prod_int_int > int ).

tff(func_def_1566,type,
    iG643: product_prod_int_int > product_prod_int_int ).

tff(func_def_1567,type,
    iG644: product_prod_int_int > product_prod_int_int ).

tff(func_def_1568,type,
    iG645: code_integer > produc6271795597528267376eger_o ).

tff(func_def_1569,type,
    lG646: int > code_integer ).

tff(func_def_1570,type,
    iG647: int > code_integer ).

tff(func_def_1571,type,
    iG648: int > code_integer ).

tff(func_def_1572,type,
    iG649: int > code_integer ).

tff(func_def_1573,type,
    iG650: code_integer > nat ).

tff(func_def_1574,type,
    iG651: code_integer > num ).

tff(func_def_1575,type,
    iG652: ( nat * nat ) > product_prod_nat_nat ).

tff(func_def_1576,type,
    iG653: ( code_integer * code_integer ) > produc8923325533196201883nteger ).

tff(func_def_1577,type,
    iG654: ( code_integer * code_integer ) > produc8923325533196201883nteger ).

tff(func_def_1578,type,
    iG655: ( code_integer * code_integer ) > produc8923325533196201883nteger ).

tff(func_def_1579,type,
    iG656: ( code_integer * code_integer ) > produc8923325533196201883nteger ).

tff(func_def_1580,type,
    iG657: ( code_integer * code_integer ) > produc8923325533196201883nteger ).

tff(func_def_1581,type,
    iG658: code_integer > int ).

tff(func_def_1582,type,
    iG659: code_integer > int ).

tff(func_def_1583,type,
    iG660: ( code_integer * code_integer ) > produc8923325533196201883nteger ).

tff(func_def_1584,type,
    iG661: ( code_integer * code_integer ) > produc8923325533196201883nteger ).

tff(func_def_1585,type,
    iG662: ( code_integer * code_integer ) > produc8923325533196201883nteger ).

tff(func_def_1586,type,
    iG663: set_nat > nat ).

tff(func_def_1587,type,
    iG664: ( nat * nat ) > nat ).

tff(func_def_1588,type,
    iG665: ( num * nat ) > option_num ).

tff(func_def_1589,type,
    iG666: ( int * int ) > product_prod_int_int ).

tff(func_def_1590,type,
    bG667: $o > $o ).

tff(func_def_1591,type,
    bG668: $o > $o ).

tff(func_def_1592,type,
    bG669: $o > $o ).

tff(func_def_1593,type,
    bG670: $o > $o ).

tff(func_def_1594,type,
    bG671: $o > $o ).

tff(func_def_1595,type,
    bG672: $o > $o ).

tff(func_def_1596,type,
    bG673: $o > $o ).

tff(func_def_1597,type,
    bG674: $o > $o ).

tff(func_def_1598,type,
    bG675: $o > $o ).

tff(func_def_1599,type,
    bG676: $o > $o ).

tff(func_def_1600,type,
    bG677: $o > $o ).

tff(func_def_1601,type,
    bG678: $o > $o ).

tff(func_def_1602,type,
    bG679: $o > $o ).

tff(func_def_1603,type,
    bG680: $o > $o ).

tff(func_def_1604,type,
    bG681: $o > $o ).

tff(func_def_1605,type,
    bG682: $o > $o ).

tff(func_def_1606,type,
    iG683: set_nat > nat ).

tff(func_def_1607,type,
    iG684: nat > nat ).

tff(func_def_1608,type,
    lG685: num > nat ).

tff(func_def_1609,type,
    lG686: num > nat ).

tff(func_def_1610,type,
    iG687: ( code_natural * code_natural ) > code_natural ).

tff(func_def_1611,type,
    iG688: ( code_natural * code_natural ) > code_natural ).

tff(func_def_1612,type,
    iG689: ( code_natural * code_natural * code_natural ) > code_natural ).

tff(func_def_1613,type,
    iG690: ( code_natural * code_natural ) > code_natural ).

tff(func_def_1614,type,
    iG691: int > sum_sum_nat_nat ).

tff(func_def_1615,type,
    iG692: nat > sum_sum_nat_nat ).

tff(func_def_1616,type,
    iG693: product_prod_int_int > product_prod_int_int ).

tff(func_def_1617,type,
    iG694: ( int * int ) > product_prod_int_int ).

tff(func_def_1618,type,
    iG695: ( int * int ) > product_prod_int_int ).

tff(func_def_1619,type,
    lG696: code_integer > int ).

tff(func_def_1620,type,
    iG697: ( code_integer * code_integer ) > int ).

tff(func_def_1621,type,
    lG698: code_integer > num ).

tff(func_def_1622,type,
    lG699: code_integer > num ).

tff(func_def_1623,type,
    iG700: ( code_integer * code_integer ) > num ).

tff(func_def_1624,type,
    lG701: code_integer > nat ).

tff(func_def_1625,type,
    lG702: code_integer > nat ).

tff(func_def_1626,type,
    iG703: ( code_integer * code_integer ) > nat ).

tff(func_def_1627,type,
    bG704: int > $o ).

tff(func_def_1628,type,
    iG705: ( code_integer * num * code_integer ) > produc8923325533196201883nteger ).

tff(func_def_1629,type,
    iG706: ( nat * num * nat ) > product_prod_nat_nat ).

tff(func_def_1630,type,
    iG707: ( int * num * int ) > product_prod_int_int ).

tff(func_def_1631,type,
    iG708: ( code_integer * code_integer * code_integer ) > produc8923325533196201883nteger ).

tff(func_def_1632,type,
    iG709: ( code_integer * code_integer * code_integer ) > produc8923325533196201883nteger ).

tff(func_def_1633,type,
    iG710: ( code_integer * code_integer * code_integer ) > produc8923325533196201883nteger ).

tff(func_def_1634,type,
    iG711: ( code_integer * code_integer * code_integer ) > code_integer ).

tff(func_def_1635,type,
    bG712: code_integer > $o ).

tff(func_def_1636,type,
    bG713: $o > $o ).

tff(func_def_1637,type,
    bG714: $o > $o ).

tff(func_def_1638,type,
    bG715: $o > $o ).

tff(func_def_1639,type,
    bG716: $o > $o ).

tff(func_def_1640,type,
    sK758: fun_nat_o > nat ).

tff(func_def_1641,type,
    sK759: fun_nat_o > nat ).

tff(func_def_1642,type,
    sK760: fun_nat_nat > nat ).

tff(func_def_1643,type,
    sK761: fun_nat_nat > nat ).

tff(func_def_1644,type,
    sK762: ( nat * nat ) > nat ).

tff(func_def_1645,type,
    sK763: ( nat * nat ) > nat ).

tff(func_def_1646,type,
    sK764: ( nat * nat ) > nat ).

tff(func_def_1647,type,
    sK765: ( nat * nat ) > nat ).

tff(func_def_1648,type,
    sK766: ( nat * nat ) > nat ).

tff(func_def_1649,type,
    sK767: ( nat * nat ) > nat ).

tff(func_def_1650,type,
    sK768: ( nat * nat ) > nat ).

tff(func_def_1651,type,
    sK769: ( nat * nat ) > nat ).

tff(func_def_1652,type,
    sK770: ( nat * nat ) > nat ).

tff(func_def_1653,type,
    sK771: fun_nat_fun_nat_o > nat ).

tff(func_def_1654,type,
    sK772: fun_nat_fun_nat_o > nat ).

tff(func_def_1655,type,
    sK773: fun_nat_fun_nat_o > nat ).

tff(func_def_1656,type,
    sK774: fun_nat_fun_nat_o > nat ).

tff(func_def_1657,type,
    sK775: fun_nat_fun_nat_o > nat ).

tff(func_def_1658,type,
    sK776: nat > nat ).

tff(func_def_1659,type,
    sK777: nat > nat ).

tff(func_def_1660,type,
    sK778: fun_nat_o > nat ).

tff(func_def_1661,type,
    sK779: fun_nat_fun_nat_o > nat ).

tff(func_def_1662,type,
    sK780: fun_nat_fun_nat_o > nat ).

tff(func_def_1663,type,
    sK781: fun_nat_fun_nat_o > nat ).

tff(func_def_1664,type,
    sK782: fun_nat_fun_nat_o > nat ).

tff(func_def_1665,type,
    sK783: fun_nat_o > nat ).

tff(func_def_1666,type,
    sK784: nat > nat ).

tff(func_def_1667,type,
    sK785: fun_nat_o > nat ).

tff(func_def_1668,type,
    sK786: ( nat * fun_nat_o ) > nat ).

tff(func_def_1669,type,
    sK787: ( nat * fun_nat_o ) > nat ).

tff(func_def_1670,type,
    sK788: nat > nat ).

tff(func_def_1671,type,
    sK789: ( nat * fun_nat_o ) > nat ).

tff(func_def_1672,type,
    sK790: ( nat * fun_nat_o ) > nat ).

tff(func_def_1673,type,
    sK791: nat > nat ).

tff(func_def_1674,type,
    sK792: ( nat * nat ) > nat ).

tff(func_def_1675,type,
    sK793: fun_nat_nat > nat ).

tff(func_def_1676,type,
    sK794: fun_nat_nat > nat ).

tff(func_def_1677,type,
    sK795: fun_nat_nat > nat ).

tff(func_def_1678,type,
    sK796: fun_nat_nat > nat ).

tff(func_def_1679,type,
    sK797: ( nat * nat ) > nat ).

tff(func_def_1680,type,
    sK798: nat > nat ).

tff(func_def_1681,type,
    sK799: ( nat * nat ) > nat ).

tff(func_def_1682,type,
    sK800: ( nat * nat * fun_nat_o ) > nat ).

tff(func_def_1683,type,
    sK801: ( nat * nat * fun_nat_o ) > nat ).

tff(func_def_1684,type,
    sK802: ( nat * fun_nat_o ) > nat ).

tff(func_def_1685,type,
    sK803: ( nat * fun_nat_o ) > nat ).

tff(func_def_1686,type,
    sK804: ( nat * fun_nat_o ) > nat ).

tff(func_def_1687,type,
    sK805: ( nat * fun_nat_o ) > nat ).

tff(func_def_1688,type,
    sK806: ( nat * nat ) > nat ).

tff(func_def_1689,type,
    sK807: fun_nat_o > nat ).

tff(func_def_1690,type,
    sK808: fun_nat_fun_nat_o > nat ).

tff(func_def_1691,type,
    sK809: fun_nat_fun_nat_o > nat ).

tff(func_def_1692,type,
    sK810: fun_nat_fun_nat_o > nat ).

tff(func_def_1693,type,
    sK811: fun_nat_fun_nat_o > nat ).

tff(func_def_1694,type,
    sK812: ( nat * fun_nat_o ) > nat ).

tff(func_def_1695,type,
    sK813: ( nat * fun_nat_o ) > nat ).

tff(func_def_1696,type,
    sK814: ( nat * fun_nat_o ) > nat ).

tff(func_def_1697,type,
    sK815: fun_nat_fun_nat_o > nat ).

tff(func_def_1698,type,
    sK816: fun_nat_fun_nat_o > nat ).

tff(func_def_1699,type,
    sK817: fun_nat_fun_nat_o > nat ).

tff(func_def_1700,type,
    sK818: fun_nat_fun_nat_o > nat ).

tff(func_def_1701,type,
    sK819: fun_nat_fun_nat_o > nat ).

tff(func_def_1702,type,
    sK820: ( fun_nat_o * nat ) > nat ).

tff(func_def_1703,type,
    sK821: fun_nat_fun_nat_o > nat ).

tff(func_def_1704,type,
    sK822: fun_nat_fun_nat_o > nat ).

tff(func_def_1705,type,
    sK823: fun_nat_fun_nat_o > nat ).

tff(func_def_1706,type,
    sK824: fun_nat_fun_nat_o > nat ).

tff(func_def_1707,type,
    sK825: fun_nat_fun_nat_o > nat ).

tff(func_def_1708,type,
    sK826: fun_nat_o > nat ).

tff(func_def_1709,type,
    sK827: ( fun_nat_o * nat ) > nat ).

tff(func_def_1710,type,
    sK828: fun_nat_o > nat ).

tff(func_def_1711,type,
    sK829: fun_nat_o > nat ).

tff(func_def_1712,type,
    sK830: nat > nat ).

tff(func_def_1713,type,
    sK831: ( fun_nat_o * fun_nat_o * nat ) > nat ).

tff(func_def_1714,type,
    sK832: ( fun_nat_o * fun_nat_o * fun_nat_o * fun_nat_o ) > nat ).

tff(func_def_1715,type,
    sK833: ( fun_nat_o * fun_nat_o * nat ) > nat ).

tff(func_def_1716,type,
    sK834: ( fun_nat_o * fun_nat_o * nat ) > nat ).

tff(func_def_1717,type,
    sK835: ( fun_nat_o * fun_nat_o * fun_nat_o * fun_nat_o ) > nat ).

tff(func_def_1718,type,
    sK836: ( fun_nat_o * fun_nat_o * nat ) > nat ).

tff(func_def_1719,type,
    sK837: nat > nat ).

tff(func_def_1720,type,
    sK838: nat > nat ).

tff(func_def_1721,type,
    sK839: nat > nat ).

tff(func_def_1722,type,
    sK840: nat > nat ).

tff(func_def_1723,type,
    sK841: ( fun_nat_o * fun_nat_o * nat ) > nat ).

tff(func_def_1724,type,
    sK842: ( fun_nat_o * fun_nat_o * fun_nat_o * fun_nat_o ) > nat ).

tff(func_def_1725,type,
    sK843: ( fun_nat_o * fun_nat_o * nat ) > nat ).

tff(func_def_1726,type,
    sK844: ( fun_nat_o * fun_nat_o * nat ) > nat ).

tff(func_def_1727,type,
    sK845: ( fun_nat_o * fun_nat_o * fun_nat_o * fun_nat_o ) > nat ).

tff(func_def_1728,type,
    sK846: ( fun_nat_o * fun_nat_o * nat ) > nat ).

tff(func_def_1729,type,
    sK847: nat > nat ).

tff(func_def_1730,type,
    sK848: nat > nat ).

tff(func_def_1731,type,
    sK849: nat > nat ).

tff(func_def_1732,type,
    sK850: nat > nat ).

tff(func_def_1733,type,
    sK851: fun_nat_o > nat ).

tff(func_def_1734,type,
    sK852: fun_nat_o > nat ).

tff(func_def_1735,type,
    sK853: fun_nat_o > nat ).

tff(func_def_1736,type,
    sK854: fun_nat_o > nat ).

tff(func_def_1737,type,
    sK855: ( fun_nat_o * nat ) > nat ).

tff(func_def_1738,type,
    sK856: ( nat * nat * fun_nat_o ) > nat ).

tff(func_def_1739,type,
    sK857: ( nat * fun_nat_o * nat ) > nat ).

tff(func_def_1740,type,
    sK858: nat > nat ).

tff(func_def_1741,type,
    sK859: nat > nat ).

tff(func_def_1742,type,
    sK860: nat > nat ).

tff(func_def_1743,type,
    sK861: nat > nat ).

tff(func_def_1744,type,
    sK862: fun_nat_fun_nat_o > nat ).

tff(func_def_1745,type,
    sK863: fun_nat_fun_nat_o > nat ).

tff(func_def_1746,type,
    sK864: fun_nat_fun_nat_o > nat ).

tff(func_def_1747,type,
    sK865: fun_nat_fun_nat_o > nat ).

tff(func_def_1748,type,
    sK866: ( nat * fun_nat_o ) > nat ).

tff(func_def_1749,type,
    sK867: ( nat * fun_nat_o ) > nat ).

tff(func_def_1750,type,
    sK868: fun_nat_o > nat ).

tff(func_def_1751,type,
    sK869: ( fun_nat_o * nat ) > nat ).

tff(func_def_1752,type,
    sK870: ( fun_nat_o * nat ) > nat ).

tff(func_def_1753,type,
    sK871: fun_nat_nat > nat ).

tff(func_def_1754,type,
    sK872: fun_nat_nat > nat ).

tff(func_def_1755,type,
    sK873: fun_nat_o > nat ).

tff(func_def_1756,type,
    sK874: fun_nat_o > nat ).

tff(func_def_1757,type,
    sK875: ( int * int * fun_int_o ) > int ).

tff(func_def_1758,type,
    sK876: ( int * fun_int_o * int ) > int ).

tff(func_def_1759,type,
    sK877: int > int ).

tff(func_def_1760,type,
    sK878: int > int ).

tff(func_def_1761,type,
    sK879: int > int ).

tff(func_def_1762,type,
    sK880: int > int ).

tff(func_def_1763,type,
    sK881: fun_int_fun_int_o > int ).

tff(func_def_1764,type,
    sK882: fun_int_fun_int_o > int ).

tff(func_def_1765,type,
    sK883: fun_int_fun_int_o > int ).

tff(func_def_1766,type,
    sK884: fun_int_fun_int_o > int ).

tff(func_def_1767,type,
    sK885: fun_int_fun_int_o > int ).

tff(func_def_1768,type,
    sK886: int > int ).

tff(func_def_1769,type,
    sK887: int > int ).

tff(func_def_1770,type,
    sK888: ( fun_int_o * fun_int_o * int ) > int ).

tff(func_def_1771,type,
    sK889: ( fun_int_o * fun_int_o * fun_int_o * fun_int_o ) > int ).

tff(func_def_1772,type,
    sK890: ( fun_int_o * fun_int_o * int ) > int ).

tff(func_def_1773,type,
    sK891: ( fun_int_o * fun_int_o * int ) > int ).

tff(func_def_1774,type,
    sK892: ( fun_int_o * fun_int_o * fun_int_o * fun_int_o ) > int ).

tff(func_def_1775,type,
    sK893: ( fun_int_o * fun_int_o * int ) > int ).

tff(func_def_1776,type,
    sK894: int > int ).

tff(func_def_1777,type,
    sK895: int > int ).

tff(func_def_1778,type,
    sK896: int > int ).

tff(func_def_1779,type,
    sK897: int > int ).

tff(func_def_1780,type,
    sK898: ( fun_int_o * fun_int_o * int ) > int ).

tff(func_def_1781,type,
    sK899: ( fun_int_o * fun_int_o * fun_int_o * fun_int_o ) > int ).

tff(func_def_1782,type,
    sK900: ( fun_int_o * fun_int_o * int ) > int ).

tff(func_def_1783,type,
    sK901: ( fun_int_o * fun_int_o * int ) > int ).

tff(func_def_1784,type,
    sK902: ( fun_int_o * fun_int_o * fun_int_o * fun_int_o ) > int ).

tff(func_def_1785,type,
    sK903: ( fun_int_o * fun_int_o * int ) > int ).

tff(func_def_1786,type,
    sK904: int > int ).

tff(func_def_1787,type,
    sK905: int > int ).

tff(func_def_1788,type,
    sK906: int > int ).

tff(func_def_1789,type,
    sK907: int > int ).

tff(func_def_1790,type,
    sK908: fun_rat_rat > rat ).

tff(func_def_1791,type,
    sK909: fun_rat_rat > rat ).

tff(func_def_1792,type,
    sK910: fun_rat_rat > rat ).

tff(func_def_1793,type,
    sK911: fun_rat_rat > rat ).

tff(func_def_1794,type,
    sK912: fun_rat_rat > rat ).

tff(func_def_1795,type,
    sK913: fun_rat_rat > rat ).

tff(func_def_1796,type,
    sK914: fun_rat_rat > rat ).

tff(func_def_1797,type,
    sK915: fun_rat_rat > rat ).

tff(func_def_1798,type,
    sK916: ( rat * rat * rat ) > rat ).

tff(func_def_1799,type,
    sK917: ( rat * rat * rat ) > rat ).

tff(func_def_1800,type,
    sK918: ( rat * rat ) > rat ).

tff(func_def_1801,type,
    sK919: ( rat * rat ) > rat ).

tff(func_def_1802,type,
    sK920: rat > rat ).

tff(func_def_1803,type,
    sK921: rat > rat ).

tff(func_def_1804,type,
    sK922: rat > rat ).

tff(func_def_1805,type,
    sK923: rat > rat ).

tff(func_def_1806,type,
    sK924: fun_rat_rat > rat ).

tff(func_def_1807,type,
    sK925: fun_rat_rat > rat ).

tff(func_def_1808,type,
    sK926: fun_rat_rat > rat ).

tff(func_def_1809,type,
    sK927: fun_rat_rat > rat ).

tff(func_def_1810,type,
    sK928: fun_rat_rat > rat ).

tff(func_def_1811,type,
    sK929: fun_rat_rat > rat ).

tff(func_def_1812,type,
    sK930: fun_rat_rat > rat ).

tff(func_def_1813,type,
    sK931: fun_rat_rat > rat ).

tff(func_def_1814,type,
    sK932: fun_rat_fun_rat_o > rat ).

tff(func_def_1815,type,
    sK933: fun_rat_fun_rat_o > rat ).

tff(func_def_1816,type,
    sK934: fun_rat_fun_rat_o > rat ).

tff(func_def_1817,type,
    sK935: fun_rat_fun_rat_o > rat ).

tff(func_def_1818,type,
    sK936: fun_rat_fun_rat_o > rat ).

tff(func_def_1819,type,
    sK937: ( rat * rat ) > rat ).

tff(func_def_1820,type,
    sK938: rat > rat ).

tff(func_def_1821,type,
    sK939: rat > rat ).

tff(func_def_1822,type,
    sK940: ( fun_rat_o * fun_rat_o * rat ) > rat ).

tff(func_def_1823,type,
    sK941: ( fun_rat_o * fun_rat_o * fun_rat_o * fun_rat_o ) > rat ).

tff(func_def_1824,type,
    sK942: ( fun_rat_o * fun_rat_o * rat ) > rat ).

tff(func_def_1825,type,
    sK943: ( fun_rat_o * fun_rat_o * rat ) > rat ).

tff(func_def_1826,type,
    sK944: ( fun_rat_o * fun_rat_o * fun_rat_o * fun_rat_o ) > rat ).

tff(func_def_1827,type,
    sK945: ( fun_rat_o * fun_rat_o * rat ) > rat ).

tff(func_def_1828,type,
    sK946: rat > rat ).

tff(func_def_1829,type,
    sK947: rat > rat ).

tff(func_def_1830,type,
    sK948: rat > rat ).

tff(func_def_1831,type,
    sK949: rat > rat ).

tff(func_def_1832,type,
    sK950: ( fun_rat_o * fun_rat_o * rat ) > rat ).

tff(func_def_1833,type,
    sK951: ( fun_rat_o * fun_rat_o * fun_rat_o * fun_rat_o ) > rat ).

tff(func_def_1834,type,
    sK952: ( fun_rat_o * fun_rat_o * rat ) > rat ).

tff(func_def_1835,type,
    sK953: ( fun_rat_o * fun_rat_o * rat ) > rat ).

tff(func_def_1836,type,
    sK954: ( fun_rat_o * fun_rat_o * fun_rat_o * fun_rat_o ) > rat ).

tff(func_def_1837,type,
    sK955: ( fun_rat_o * fun_rat_o * rat ) > rat ).

tff(func_def_1838,type,
    sK956: rat > rat ).

tff(func_def_1839,type,
    sK957: rat > rat ).

tff(func_def_1840,type,
    sK958: rat > rat ).

tff(func_def_1841,type,
    sK959: rat > rat ).

tff(func_def_1842,type,
    sK960: rat > rat ).

tff(func_def_1843,type,
    sK961: rat > rat ).

tff(func_def_1844,type,
    sK962: fun_Co8499238673658658103nteger > code_integer ).

tff(func_def_1845,type,
    sK963: fun_Co8499238673658658103nteger > code_integer ).

tff(func_def_1846,type,
    sK964: fun_Co8499238673658658103nteger > code_integer ).

tff(func_def_1847,type,
    sK965: fun_Co8499238673658658103nteger > code_integer ).

tff(func_def_1848,type,
    sK966: fun_Co8499238673658658103nteger > code_integer ).

tff(func_def_1849,type,
    sK967: fun_Co8499238673658658103nteger > code_integer ).

tff(func_def_1850,type,
    sK968: fun_Co8499238673658658103nteger > code_integer ).

tff(func_def_1851,type,
    sK969: fun_Co8499238673658658103nteger > code_integer ).

tff(func_def_1852,type,
    sK970: fun_Co2081214437782444048eger_o > code_integer ).

tff(func_def_1853,type,
    sK971: fun_Co2081214437782444048eger_o > code_integer ).

tff(func_def_1854,type,
    sK972: fun_Co2081214437782444048eger_o > code_integer ).

tff(func_def_1855,type,
    sK973: fun_Co2081214437782444048eger_o > code_integer ).

tff(func_def_1856,type,
    sK974: fun_Co2081214437782444048eger_o > code_integer ).

tff(func_def_1857,type,
    sK975: ( fun_Code_integer_o * fun_Code_integer_o * code_integer ) > code_integer ).

tff(func_def_1858,type,
    sK976: ( fun_Code_integer_o * fun_Code_integer_o * fun_Code_integer_o * fun_Code_integer_o ) > code_integer ).

tff(func_def_1859,type,
    sK977: ( fun_Code_integer_o * fun_Code_integer_o * code_integer ) > code_integer ).

tff(func_def_1860,type,
    sK978: ( fun_Code_integer_o * fun_Code_integer_o * code_integer ) > code_integer ).

tff(func_def_1861,type,
    sK979: ( fun_Code_integer_o * fun_Code_integer_o * fun_Code_integer_o * fun_Code_integer_o ) > code_integer ).

tff(func_def_1862,type,
    sK980: ( fun_Code_integer_o * fun_Code_integer_o * code_integer ) > code_integer ).

tff(func_def_1863,type,
    sK981: code_integer > code_integer ).

tff(func_def_1864,type,
    sK982: code_integer > code_integer ).

tff(func_def_1865,type,
    sK983: code_integer > code_integer ).

tff(func_def_1866,type,
    sK984: code_integer > code_integer ).

tff(func_def_1867,type,
    sK985: ( fun_Code_integer_o * fun_Code_integer_o * code_integer ) > code_integer ).

tff(func_def_1868,type,
    sK986: ( fun_Code_integer_o * fun_Code_integer_o * fun_Code_integer_o * fun_Code_integer_o ) > code_integer ).

tff(func_def_1869,type,
    sK987: ( fun_Code_integer_o * fun_Code_integer_o * code_integer ) > code_integer ).

tff(func_def_1870,type,
    sK988: ( fun_Code_integer_o * fun_Code_integer_o * code_integer ) > code_integer ).

tff(func_def_1871,type,
    sK989: ( fun_Code_integer_o * fun_Code_integer_o * fun_Code_integer_o * fun_Code_integer_o ) > code_integer ).

tff(func_def_1872,type,
    sK990: ( fun_Code_integer_o * fun_Code_integer_o * code_integer ) > code_integer ).

tff(func_def_1873,type,
    sK991: code_integer > code_integer ).

tff(func_def_1874,type,
    sK992: code_integer > code_integer ).

tff(func_def_1875,type,
    sK993: code_integer > code_integer ).

tff(func_def_1876,type,
    sK994: code_integer > code_integer ).

tff(func_def_1877,type,
    sK995: fun_int_fun_int_o > int ).

tff(func_def_1878,type,
    sK996: fun_int_fun_int_o > int ).

tff(func_def_1879,type,
    sK997: fun_int_fun_int_o > int ).

tff(func_def_1880,type,
    sK998: fun_int_fun_int_o > int ).

tff(func_def_1881,type,
    sK999: fun_rat_rat > rat ).

tff(func_def_1882,type,
    sK1000: fun_rat_rat > rat ).

tff(func_def_1883,type,
    sK1001: fun_rat_rat > rat ).

tff(func_def_1884,type,
    sK1002: fun_rat_rat > rat ).

tff(func_def_1885,type,
    sK1003: fun_rat_rat > rat ).

tff(func_def_1886,type,
    sK1004: fun_rat_rat > rat ).

tff(func_def_1887,type,
    sK1005: fun_rat_rat > rat ).

tff(func_def_1888,type,
    sK1006: fun_rat_rat > rat ).

tff(func_def_1889,type,
    sK1007: fun_rat_fun_rat_o > rat ).

tff(func_def_1890,type,
    sK1008: fun_rat_fun_rat_o > rat ).

tff(func_def_1891,type,
    sK1009: fun_rat_fun_rat_o > rat ).

tff(func_def_1892,type,
    sK1010: fun_rat_fun_rat_o > rat ).

tff(pred_def_1,type,
    bNF_re3804157879324367682nt_int: ( fun_in4891666191172872833eger_o * fun_int_fun_int_o * fun_int_int * fun_Code_integer_int ) > $o ).

tff(pred_def_2,type,
    bNF_re1831474436612530402atural: ( fun_in4891666191172872833eger_o * fun_na2240068485812228818ural_o * fun_int_nat * fun_Co3734316457315071362atural ) > $o ).

tff(pred_def_3,type,
    bNF_re2807294637932363402at_nat: ( fun_in4891666191172872833eger_o * fun_nat_fun_nat_o * fun_int_nat * fun_Code_integer_nat ) > $o ).

tff(pred_def_4,type,
    bNF_re6718328864250387230um_num: ( fun_in4891666191172872833eger_o * fun_num_fun_num_o * fun_int_num * fun_Code_integer_num ) > $o ).

tff(pred_def_5,type,
    bNF_re5122946609719563319eger_o: ( fun_in4891666191172872833eger_o * fun_fu4168831735773172575er_o_o * fun_int_fun_int_o * fun_Co2081214437782444048eger_o ) > $o ).

tff(pred_def_6,type,
    bNF_re9130850084932126070nteger: ( fun_in4891666191172872833eger_o * fun_fu726873822431485118eger_o * fun_int_fun_int_int * fun_Co1981900195452921617nteger ) > $o ).

tff(pred_def_7,type,
    bNF_re6821560923358799272_nat_o: ( fun_in4891666191172872833eger_o * fun_fu7564235448449272366at_o_o * fun_int_fun_nat_o * fun_Co1375048237525739357_nat_o ) > $o ).

tff(pred_def_8,type,
    bNF_re982302072995117890nteger: ( fun_int_fun_int_o * fun_in4891666191172872833eger_o * fun_int_int * fun_int_Code_integer ) > $o ).

tff(pred_def_9,type,
    bNF_re3715656647883201625at_nat: ( fun_int_fun_int_o * fun_nat_fun_nat_o * fun_int_nat * fun_int_nat ) > $o ).

tff(pred_def_10,type,
    bNF_re7626690874201225453um_num: ( fun_int_fun_int_o * fun_num_fun_num_o * fun_int_num * fun_int_num ) > $o ).

tff(pred_def_11,type,
    bNF_re8654322613993568759_int_o: ( fun_int_fun_int_o * fun_fu6971708032831053102nt_o_o * fun_int_fun_int_o * fun_int_fun_int_o ) > $o ).

tff(pred_def_12,type,
    bNF_re5717476210804479843nt_int: ( fun_int_fun_int_o * fun_fu4208408993564413984_int_o * fun_int_fun_int_int * fun_int_fun_int_int ) > $o ).

tff(pred_def_13,type,
    bNF_re4808202430149235895nt_int: ( fun_int_fun_int_o * fun_fu6699046866436802030_int_o * fun_in1696471567231710611nt_int * fun_in1696471567231710611nt_int ) > $o ).

tff(pred_def_14,type,
    bNF_re2486238095283335024nt_rat: ( fun_int_fun_int_o * fun_fu7677565902479959693_rat_o * fun_in1696471567231710611nt_int * fun_int_fun_int_rat ) > $o ).

tff(pred_def_15,type,
    bNF_re8347998229424194295_nat_o: ( fun_int_fun_int_o * fun_fu7564235448449272366at_o_o * fun_int_fun_nat_o * fun_int_fun_nat_o ) > $o ).

tff(pred_def_16,type,
    bNF_re5252274238750452962nteger: ( fun_na2240068485812228818ural_o * fun_in4891666191172872833eger_o * fun_nat_int * fun_Co2940338738630218498nteger ) > $o ).

tff(pred_def_17,type,
    bNF_re7333046803109187065at_nat: ( fun_na2240068485812228818ural_o * fun_nat_fun_nat_o * fun_nat_nat * fun_Code_natural_nat ) > $o ).

tff(pred_def_18,type,
    bNF_re701982943866114111ural_o: ( fun_na2240068485812228818ural_o * fun_fu1622112948621879430al_o_o * fun_nat_fun_nat_o * fun_Co7302518231560758906ural_o ) > $o ).

tff(pred_def_19,type,
    bNF_re2187160483004581015_nat_o: ( fun_na2240068485812228818ural_o * fun_fu7564235448449272366at_o_o * fun_nat_fun_nat_o * fun_Co196715998180962002_nat_o ) > $o ).

tff(pred_def_20,type,
    bNF_re1400205106991740995atural: ( fun_na2240068485812228818ural_o * fun_fu2034268335391280352ural_o * fun_nat_fun_nat_nat * fun_Co6813818151677833714atural ) > $o ).

tff(pred_def_21,type,
    bNF_re4153400068438556298nteger: ( fun_nat_fun_nat_o * fun_in4891666191172872833eger_o * fun_nat_int * fun_nat_Code_integer ) > $o ).

tff(pred_def_22,type,
    bNF_re6650684261131312217nt_int: ( fun_nat_fun_nat_o * fun_int_fun_int_o * fun_nat_int * fun_nat_int ) > $o ).

tff(pred_def_23,type,
    bNF_re2605341659958429177atural: ( fun_nat_fun_nat_o * fun_na2240068485812228818ural_o * fun_nat_nat * fun_nat_Code_natural ) > $o ).

tff(pred_def_24,type,
    bNF_re6830278522597306478at_int: ( fun_nat_fun_nat_o * fun_Pr4738963024209204295_int_o * fun_na1476630412504255114at_nat * fun_nat_int ) > $o ).

tff(pred_def_25,type,
    bNF_re4578097776928471693nteger: ( fun_nat_fun_nat_o * fun_fu726873822431485118eger_o * fun_nat_fun_int_int * fun_na7078387940644931716nteger ) > $o ).

tff(pred_def_26,type,
    bNF_re5651586111134833323nt_int: ( fun_nat_fun_nat_o * fun_fu4208408993564413984_int_o * fun_nat_fun_int_int * fun_nat_fun_int_int ) > $o ).

tff(pred_def_27,type,
    bNF_re1448341924010609215_nat_o: ( fun_nat_fun_nat_o * fun_fu7564235448449272366at_o_o * fun_nat_fun_nat_o * fun_nat_fun_nat_o ) > $o ).

tff(pred_def_28,type,
    bNF_re728283343719287275atural: ( fun_nat_fun_nat_o * fun_fu2034268335391280352ural_o * fun_nat_fun_nat_nat * fun_na607345901702507418atural ) > $o ).

tff(pred_def_29,type,
    bNF_re5162689864697376059at_nat: ( fun_nat_fun_nat_o * fun_fu9201817095025044880_nat_o * fun_nat_fun_nat_nat * fun_nat_fun_nat_nat ) > $o ).

tff(pred_def_30,type,
    bNF_re4520166952630509772nteger: ( fun_num_fun_num_o * fun_fu6196024946523381971eger_o * fun_num_fun_num_int * fun_nu2537414170016844299nteger ) > $o ).

tff(pred_def_31,type,
    bNF_re6378542964492772123um_int: ( fun_num_fun_num_o * fun_fu5908277796454533188_int_o * fun_num_fun_num_int * fun_num_fun_num_int ) > $o ).

tff(pred_def_32,type,
    bNF_re8699439704749558557nt_o_o: ( fun_Pr9018117161326028078_int_o * fun_o_fun_o_o * fun_Pr3238374608701176162_int_o * fun_Pr3238374608701176162_int_o ) > $o ).

tff(pred_def_33,type,
    bNF_re4734134812813710757nt_int: ( fun_Pr9018117161326028078_int_o * fun_fu5323616038969315652_int_o * fun_Pr1308109350235310159nt_int * fun_Pr1308109350235310159nt_int ) > $o ).

tff(pred_def_34,type,
    bNF_re1494630372529172596at_o_o: ( fun_Pr7537129237977221859_rat_o * fun_o_fun_o_o * fun_Pr3238374608701176162_int_o * fun_rat_o ) > $o ).

tff(pred_def_35,type,
    bNF_re6323452265856231590at_rat: ( fun_Pr7537129237977221859_rat_o * fun_fu4306744791715064858_rat_o * fun_Pr1308109350235310159nt_int * fun_rat_fun_rat_rat ) > $o ).

tff(pred_def_36,type,
    bNF_re4555766996558763186at_nat: ( fun_Pr4738963024209204295_int_o * fun_nat_fun_nat_o * fun_Pr2602117396471556196at_nat * fun_int_nat ) > $o ).

tff(pred_def_37,type,
    bNF_re4195927319312321177_int_o: ( fun_Pr4738963024209204295_int_o * fun_fu9090758901314268781nt_o_o * fun_Pr2028404973800837934_nat_o * fun_int_fun_int_o ) > $o ).

tff(pred_def_38,type,
    bNF_re8869769828555196650nt_int: ( fun_Pr4738963024209204295_int_o * fun_fu4638078822479986034_int_o * fun_Pr2477239776880934807at_nat * fun_int_fun_int_int ) > $o ).

tff(pred_def_39,type,
    bNF_re8246922863344978751at_nat: ( fun_Pr2028404973800837934_nat_o * fun_nat_fun_nat_o * fun_Pr2602117396471556196at_nat * fun_Pr2602117396471556196at_nat ) > $o ).

tff(pred_def_40,type,
    bNF_re4103222659376994899_nat_o: ( fun_Pr2028404973800837934_nat_o * fun_fu9045186299510176150at_o_o * fun_Pr2028404973800837934_nat_o * fun_Pr2028404973800837934_nat_o ) > $o ).

tff(pred_def_41,type,
    bNF_re6214786843070381989at_nat: ( fun_Pr2028404973800837934_nat_o * fun_fu3373238862511017284_nat_o * fun_Pr2477239776880934807at_nat * fun_Pr2477239776880934807at_nat ) > $o ).

tff(pred_def_42,type,
    boolea2445317508997433345nteger: ( fun_Co1981900195452921617nteger * fun_Co1981900195452921617nteger * fun_Co8499238673658658103nteger * code_integer * code_integer * fun_Co1981900195452921617nteger ) > $o ).

tff(pred_def_43,type,
    boolea8527374999097803216ff_int: ( fun_int_fun_int_int * fun_int_fun_int_int * fun_int_int * int * int * fun_int_fun_int_int ) > $o ).

tff(pred_def_44,type,
    eucl_rel_int: ( int * int * product_prod_int_int ) > $o ).

tff(pred_def_45,type,
    unique5706413561485394159nteger: produc8923325533196201883nteger > $o ).

tff(pred_def_46,type,
    unique6319869463603278526ux_int: product_prod_int_int > $o ).

tff(pred_def_47,type,
    finite_finite_int: set_int > $o ).

tff(pred_def_48,type,
    bij_betw_nat_int: ( fun_nat_int * set_nat * set_int ) > $o ).

tff(pred_def_49,type,
    bij_be6293887246118711976st_nat: ( fun_nat_list_nat * set_nat * set_list_nat ) > $o ).

tff(pred_def_50,type,
    bij_be4790990086886966983at_nat: ( fun_na3635074868517587788at_nat * set_nat * set_Sum_sum_nat_nat ) > $o ).

tff(pred_def_51,type,
    inj_on_int_nat: ( fun_int_nat * set_int ) > $o ).

tff(pred_def_52,type,
    inj_on_list_nat_nat: ( fun_list_nat_nat * set_list_nat ) > $o ).

tff(pred_def_53,type,
    inj_on_set_nat_nat: ( fun_set_nat_nat * set_set_nat ) > $o ).

tff(pred_def_54,type,
    inj_on6343450744447823682at_nat: ( fun_Su884838341992399436at_nat * set_Sum_sum_nat_nat ) > $o ).

tff(pred_def_55,type,
    fun_is_measure_int: fun_int_nat > $o ).

tff(pred_def_56,type,
    fun_re2478310338295953701at_nat: produc1319942482725812455at_nat > $o ).

tff(pred_def_57,type,
    semila1623282765462674594er_nat: ( fun_nat_fun_nat_nat * nat * fun_nat_fun_nat_o * fun_nat_fun_nat_o ) > $o ).

tff(pred_def_58,type,
    quotie2291698863146621601nteger: ( fun_int_fun_int_o * fun_int_Code_integer * fun_Code_integer_int * fun_in4891666191172872833eger_o ) > $o ).

tff(pred_def_59,type,
    quotie743640454666494480atural: ( fun_nat_fun_nat_o * fun_nat_Code_natural * fun_Code_natural_nat * fun_na2240068485812228818ural_o ) > $o ).

tff(pred_def_60,type,
    quotie1194848508323700631at_int: ( fun_Pr2028404973800837934_nat_o * fun_Pr7647638413817135296at_int * fun_in4514472496968388910at_nat * fun_Pr4738963024209204295_int_o ) > $o ).

tff(pred_def_61,type,
    ord_le361264281704409273t_unit: ( product_unit * product_unit ) > $o ).

tff(pred_def_62,type,
    ord_le1307284697595431911nteger: ( set_Code_integer * set_Code_integer ) > $o ).

tff(pred_def_63,type,
    ord_less_set_int: ( set_int * set_int ) > $o ).

tff(pred_def_64,type,
    ord_less_set_num: ( set_num * set_num ) > $o ).

tff(pred_def_65,type,
    ord_le2604355607129572851at_nat: ( set_Pr4329608150637261639at_nat * set_Pr4329608150637261639at_nat ) > $o ).

tff(pred_def_66,type,
    ord_less_set_rat: ( set_rat * set_rat ) > $o ).

tff(pred_def_67,type,
    ord_less_set_set_nat: ( set_set_nat * set_set_nat ) > $o ).

tff(pred_def_68,type,
    ord_le3519150613208228973at_nat: ( set_se7855581050983116737at_nat * set_se7855581050983116737at_nat ) > $o ).

tff(pred_def_69,type,
    ord_le3221252021190050221t_unit: ( product_unit * product_unit ) > $o ).

tff(pred_def_70,type,
    ord_less_eq_set_int: ( set_int * set_int ) > $o ).

tff(pred_def_71,type,
    ord_less_eq_set_num: ( set_num * set_num ) > $o ).

tff(pred_def_72,type,
    ord_le1268244103169919719at_nat: ( set_Pr4329608150637261639at_nat * set_Pr4329608150637261639at_nat ) > $o ).

tff(pred_def_73,type,
    ord_less_eq_set_rat: ( set_rat * set_rat ) > $o ).

tff(pred_def_74,type,
    ord_le6893508408891458716et_nat: ( set_set_nat * set_set_nat ) > $o ).

tff(pred_def_75,type,
    ord_le2077887516847798113at_nat: ( set_se7855581050983116737at_nat * set_se7855581050983116737at_nat ) > $o ).

tff(pred_def_76,type,
    order_mono_nat_nat: fun_nat_nat > $o ).

tff(pred_def_77,type,
    quotie6776551016481293500at_int: ( fun_Pr2028404973800837934_nat_o * fun_Pr7647638413817135296at_int * fun_in4514472496968388910at_nat ) > $o ).

tff(pred_def_78,type,
    domain9213661015745956397nt_rat: ( fun_Pr7537129237977221859_rat_o * product_prod_int_int ) > $o ).

tff(pred_def_79,type,
    bi_tot1331153423839324337nteger: fun_in4891666191172872833eger_o > $o ).

tff(pred_def_80,type,
    bi_tot9006467052213973024atural: fun_na2240068485812228818ural_o > $o ).

tff(pred_def_81,type,
    bi_tot896582865486249351at_int: fun_Pr4738963024209204295_int_o > $o ).

tff(pred_def_82,type,
    type_d8366093980585677751er_int: ( fun_Code_integer_int * fun_int_Code_integer * set_int ) > $o ).

tff(pred_def_83,type,
    type_d8752208705193531015at_nat: ( fun_in8804710076054006414at_nat * fun_se9142667792015812128at_int * set_se7855581050983116737at_nat ) > $o ).

tff(pred_def_84,type,
    accp_P8126237942716283194atural: ( fun_Pr3592279944642289454ural_o * produc7822875418678951345atural ) > $o ).

tff(pred_def_85,type,
    accp_P1096762738010456898nt_int: ( fun_Pr9018117161326028078_int_o * product_prod_int_int ) > $o ).

tff(pred_def_86,type,
    wf_int: set_Pr958786334691620121nt_int > $o ).

tff(pred_def_87,type,
    wf_Pro7803398752247294826at_nat: set_Pr8693737435421807431at_nat > $o ).

tff(pred_def_88,type,
    aa_o_o: ( fun_o_o * $o ) > $o ).

tff(pred_def_89,type,
    aa_Code_integer_o: ( fun_Code_integer_o * code_integer ) > $o ).

tff(pred_def_90,type,
    aa_Code_natural_o: ( fun_Code_natural_o * code_natural ) > $o ).

tff(pred_def_91,type,
    aa_int_o: ( fun_int_o * int ) > $o ).

tff(pred_def_92,type,
    aa_list_o_o: ( fun_list_o_o * list_o ) > $o ).

tff(pred_def_93,type,
    aa_list_int_o: ( fun_list_int_o * list_int ) > $o ).

tff(pred_def_94,type,
    aa_list_nat_o: ( fun_list_nat_o * list_nat ) > $o ).

tff(pred_def_95,type,
    aa_nat_o: ( fun_nat_o * nat ) > $o ).

tff(pred_def_96,type,
    aa_num_o: ( fun_num_o * num ) > $o ).

tff(pred_def_97,type,
    aa_Pro4592068669816069595_int_o: ( fun_Pr3238374608701176162_int_o * product_prod_int_int ) > $o ).

tff(pred_def_98,type,
    aa_Pro6150637604445964947_nat_o: ( fun_Pr4796943543331071514_nat_o * product_prod_nat_nat ) > $o ).

tff(pred_def_99,type,
    aa_rat_o: ( fun_rat_o * rat ) > $o ).

tff(pred_def_100,type,
    aa_set_nat_o: ( fun_set_nat_o * set_nat ) > $o ).

tff(pred_def_101,type,
    aa_set3702741264012733747_nat_o: ( fun_se4782206882984618170_nat_o * set_Pr1261947904930325089at_nat ) > $o ).

tff(pred_def_102,type,
    aa_fun774133186966548707eger_o: ( fun_fu1769128043447206010eger_o * fun_Co8499238673658658103nteger ) > $o ).

tff(pred_def_103,type,
    aa_fun1921403200066283853ural_o: ( fun_fu2916398056546941156ural_o * fun_Co7398788559141407565atural ) > $o ).

tff(pred_def_104,type,
    aa_fun_int_int_o: ( fun_fun_int_int_o * fun_int_int ) > $o ).

tff(pred_def_105,type,
    aa_fun_nat_o_o: ( fun_fun_nat_o_o * fun_nat_o ) > $o ).

tff(pred_def_106,type,
    aa_fun_nat_nat_o: ( fun_fun_nat_nat_o * fun_nat_nat ) > $o ).

tff(pred_def_107,type,
    aa_fun2650603632653508759_int_o: ( fun_fu7503566767892366382_int_o * fun_Pr2478283820680522243nt_int ) > $o ).

tff(pred_def_108,type,
    aa_fun3538214411680374423_nat_o: ( fun_fu8391177546919232046_nat_o * fun_Pr2118491707810114563at_nat ) > $o ).

tff(pred_def_109,type,
    aa_fun_rat_rat_o: ( fun_fun_rat_rat_o * fun_rat_rat ) > $o ).

tff(pred_def_110,type,
    member_Code_integer: ( code_integer * set_Code_integer ) > $o ).

tff(pred_def_111,type,
    member_int: ( int * set_int ) > $o ).

tff(pred_def_112,type,
    member_list_nat: ( list_nat * set_list_nat ) > $o ).

tff(pred_def_113,type,
    member_num: ( num * set_num ) > $o ).

tff(pred_def_114,type,
    member8206827879206165904at_nat: ( produc859450856879609959at_nat * set_Pr8693737435421807431at_nat ) > $o ).

tff(pred_def_115,type,
    member8757157785044589968at_nat: ( produc3843707927480180839at_nat * set_Pr4329608150637261639at_nat ) > $o ).

tff(pred_def_116,type,
    member_Product_unit: ( product_unit * set_Product_unit ) > $o ).

tff(pred_def_117,type,
    member_rat: ( rat * set_rat ) > $o ).

tff(pred_def_118,type,
    member_set_nat: ( set_nat * set_set_nat ) > $o ).

tff(pred_def_119,type,
    member2643936169264416010at_nat: ( set_Pr1261947904930325089at_nat * set_se7855581050983116737at_nat ) > $o ).

tff(pred_def_121,type,
    ':=': 
      !>[X0: $tType] : ( ( X0 * X0 ) > $o ) ).

tff(pred_def_122,type,
    iG33: ( int * nat ) > $o ).

tff(pred_def_123,type,
    iG37: ( rat * rat * rat ) > $o ).

tff(pred_def_124,type,
    iG38: ( rat * rat * rat ) > $o ).

tff(pred_def_125,type,
    iG40: ( rat * rat * rat ) > $o ).

tff(pred_def_126,type,
    iG41: ( rat * rat * rat ) > $o ).

tff(pred_def_127,type,
    iG42: ( rat * rat * rat ) > $o ).

tff(pred_def_128,type,
    iG43: ( rat * rat * rat ) > $o ).

tff(pred_def_129,type,
    iG44: ( rat * rat * rat ) > $o ).

tff(pred_def_130,type,
    iG45: ( rat * rat * rat ) > $o ).

tff(pred_def_131,type,
    iG48: ( int * nat ) > $o ).

tff(pred_def_132,type,
    iG49: ( int * nat ) > $o ).

tff(pred_def_133,type,
    iG50: ( rat * rat * rat ) > $o ).

tff(pred_def_134,type,
    iG51: ( rat * rat * rat ) > $o ).

tff(pred_def_135,type,
    iG52: ( rat * rat * rat ) > $o ).

tff(pred_def_136,type,
    iG53: ( rat * rat * rat ) > $o ).

tff(pred_def_137,type,
    iG54: ( rat * rat * rat ) > $o ).

tff(pred_def_138,type,
    iG55: ( rat * rat * rat ) > $o ).

tff(pred_def_139,type,
    iG56: ( rat * rat * rat ) > $o ).

tff(pred_def_140,type,
    iG57: ( rat * rat * rat ) > $o ).

tff(pred_def_141,type,
    iG64: ( rat * rat * rat ) > $o ).

tff(pred_def_142,type,
    iG65: ( rat * rat * rat ) > $o ).

tff(pred_def_143,type,
    iG66: ( rat * rat * rat ) > $o ).

tff(pred_def_144,type,
    iG67: ( rat * rat * rat ) > $o ).

tff(pred_def_145,type,
    iG242: ( rat * num * rat ) > $o ).

tff(pred_def_146,type,
    iG243: ( rat * num * rat ) > $o ).

tff(pred_def_147,type,
    iG244: ( rat * num * rat ) > $o ).

tff(pred_def_148,type,
    iG245: ( rat * num * rat ) > $o ).

tff(pred_def_149,type,
    iG252: ( num * rat * rat ) > $o ).

tff(pred_def_150,type,
    iG253: ( num * rat * rat ) > $o ).

tff(pred_def_151,type,
    iG254: ( num * rat * rat ) > $o ).

tff(pred_def_152,type,
    iG255: ( num * rat * rat ) > $o ).

tff(pred_def_153,type,
    iG256: ( rat * num * rat ) > $o ).

tff(pred_def_154,type,
    iG257: ( rat * num * rat ) > $o ).

tff(pred_def_155,type,
    iG258: ( rat * num * rat ) > $o ).

tff(pred_def_156,type,
    iG259: ( rat * num * rat ) > $o ).

tff(pred_def_157,type,
    iG260: ( rat * num * rat ) > $o ).

tff(pred_def_158,type,
    iG261: ( rat * num * rat ) > $o ).

tff(pred_def_159,type,
    iG262: ( rat * num * rat ) > $o ).

tff(pred_def_160,type,
    iG263: ( rat * num * rat ) > $o ).

tff(pred_def_161,type,
    iG264: ( rat * num * rat ) > $o ).

tff(pred_def_162,type,
    iG265: ( rat * num * rat ) > $o ).

tff(pred_def_163,type,
    iG266: ( rat * num * rat ) > $o ).

tff(pred_def_164,type,
    iG267: ( rat * num * rat ) > $o ).

tff(pred_def_165,type,
    iG268: ( rat * num * rat ) > $o ).

tff(pred_def_166,type,
    iG269: ( rat * num * rat ) > $o ).

tff(pred_def_167,type,
    iG270: ( rat * num * rat ) > $o ).

tff(pred_def_168,type,
    iG271: ( rat * num * rat ) > $o ).

tff(pred_def_169,type,
    iG406: ( nat * int * int ) > $o ).

tff(pred_def_170,type,
    iG407: ( nat * nat * nat ) > $o ).

tff(pred_def_171,type,
    iG408: ( nat * code_integer * code_integer ) > $o ).

tff(pred_def_172,type,
    iG409: ( nat * code_natural * code_natural ) > $o ).

tff(pred_def_173,type,
    iG410: ( nat * int ) > $o ).

tff(pred_def_174,type,
    iG411: ( nat * nat ) > $o ).

tff(pred_def_175,type,
    iG412: ( nat * code_integer ) > $o ).

tff(pred_def_176,type,
    iG413: ( nat * code_natural ) > $o ).

tff(pred_def_177,type,
    iG546: ( set_se7855581050983116737at_nat * set_Pr1261947904930325089at_nat * set_se7855581050983116737at_nat ) > $o ).

tff(pred_def_178,type,
    iG547: ( set_se7855581050983116737at_nat * set_Pr1261947904930325089at_nat * set_se7855581050983116737at_nat ) > $o ).

tff(pred_def_179,type,
    iG548: ( set_set_nat * set_nat * set_set_nat ) > $o ).

tff(pred_def_180,type,
    iG549: ( set_set_nat * set_nat * set_set_nat ) > $o ).

tff(pred_def_181,type,
    iG550: ( set_int * int * set_int ) > $o ).

tff(pred_def_182,type,
    iG551: ( set_int * int * set_int ) > $o ).

tff(pred_def_183,type,
    iG552: ( set_Pr1261947904930325089at_nat * product_prod_nat_nat * set_Pr1261947904930325089at_nat ) > $o ).

tff(pred_def_184,type,
    iG553: ( set_Pr1261947904930325089at_nat * product_prod_nat_nat * set_Pr1261947904930325089at_nat ) > $o ).

tff(pred_def_185,type,
    iG554: ( set_Pr4329608150637261639at_nat * produc3843707927480180839at_nat * set_Pr4329608150637261639at_nat ) > $o ).

tff(pred_def_186,type,
    iG555: ( set_Pr4329608150637261639at_nat * produc3843707927480180839at_nat * set_Pr4329608150637261639at_nat ) > $o ).

tff(pred_def_187,type,
    iG556: ( set_nat * nat * set_nat ) > $o ).

tff(pred_def_188,type,
    iG557: ( set_nat * nat * set_nat ) > $o ).

tff(pred_def_189,type,
    iG578: ( int * int * int ) > $o ).

tff(pred_def_190,type,
    iG579: ( int * int * int ) > $o ).

tff(pred_def_191,type,
    sP717: ( fun_nat_o * fun_nat_o * fun_nat_o * fun_nat_o ) > $o ).

tff(pred_def_192,type,
    sP718: ( fun_nat_o * fun_nat_o ) > $o ).

tff(pred_def_193,type,
    sP719: ( fun_nat_o * fun_nat_o * fun_nat_o * fun_nat_o ) > $o ).

tff(pred_def_194,type,
    sP720: ( fun_nat_o * fun_nat_o ) > $o ).

tff(pred_def_195,type,
    sP721: ( fun_nat_o * fun_nat_o * fun_nat_o * fun_nat_o ) > $o ).

tff(pred_def_196,type,
    sP722: ( fun_nat_o * fun_nat_o ) > $o ).

tff(pred_def_197,type,
    sP723: ( fun_nat_o * fun_nat_o * fun_nat_o * fun_nat_o ) > $o ).

tff(pred_def_198,type,
    sP724: ( fun_nat_o * fun_nat_o ) > $o ).

tff(pred_def_199,type,
    sP725: ( nat * nat * nat ) > $o ).

tff(pred_def_200,type,
    sP726: ( nat * nat * nat ) > $o ).

tff(pred_def_201,type,
    sP727: ( nat * nat * nat ) > $o ).

tff(pred_def_202,type,
    sP728: ( fun_int_o * fun_int_o * fun_int_o * fun_int_o ) > $o ).

tff(pred_def_203,type,
    sP729: ( fun_int_o * fun_int_o ) > $o ).

tff(pred_def_204,type,
    sP730: ( fun_int_o * fun_int_o * fun_int_o * fun_int_o ) > $o ).

tff(pred_def_205,type,
    sP731: ( fun_int_o * fun_int_o ) > $o ).

tff(pred_def_206,type,
    sP732: ( fun_int_o * fun_int_o * fun_int_o * fun_int_o ) > $o ).

tff(pred_def_207,type,
    sP733: ( fun_int_o * fun_int_o ) > $o ).

tff(pred_def_208,type,
    sP734: ( fun_int_o * fun_int_o * fun_int_o * fun_int_o ) > $o ).

tff(pred_def_209,type,
    sP735: ( fun_int_o * fun_int_o ) > $o ).

tff(pred_def_210,type,
    sP736: ( fun_rat_o * fun_rat_o * fun_rat_o * fun_rat_o ) > $o ).

tff(pred_def_211,type,
    sP737: ( fun_rat_o * fun_rat_o ) > $o ).

tff(pred_def_212,type,
    sP738: ( fun_rat_o * fun_rat_o * fun_rat_o * fun_rat_o ) > $o ).

tff(pred_def_213,type,
    sP739: ( fun_rat_o * fun_rat_o ) > $o ).

tff(pred_def_214,type,
    sP740: ( fun_rat_o * fun_rat_o * fun_rat_o * fun_rat_o ) > $o ).

tff(pred_def_215,type,
    sP741: ( fun_rat_o * fun_rat_o ) > $o ).

tff(pred_def_216,type,
    sP742: ( fun_rat_o * fun_rat_o * fun_rat_o * fun_rat_o ) > $o ).

tff(pred_def_217,type,
    sP743: ( fun_rat_o * fun_rat_o ) > $o ).

tff(pred_def_218,type,
    sP744: ( fun_Code_integer_o * fun_Code_integer_o * fun_Code_integer_o * fun_Code_integer_o ) > $o ).

tff(pred_def_219,type,
    sP745: ( fun_Code_integer_o * fun_Code_integer_o ) > $o ).

tff(pred_def_220,type,
    sP746: ( fun_Code_integer_o * fun_Code_integer_o * fun_Code_integer_o * fun_Code_integer_o ) > $o ).

tff(pred_def_221,type,
    sP747: ( fun_Code_integer_o * fun_Code_integer_o ) > $o ).

tff(pred_def_222,type,
    sP748: ( fun_Code_integer_o * fun_Code_integer_o * fun_Code_integer_o * fun_Code_integer_o ) > $o ).

tff(pred_def_223,type,
    sP749: ( fun_Code_integer_o * fun_Code_integer_o ) > $o ).

tff(pred_def_224,type,
    sP750: ( fun_Code_integer_o * fun_Code_integer_o * fun_Code_integer_o * fun_Code_integer_o ) > $o ).

tff(pred_def_225,type,
    sP751: ( fun_Code_integer_o * fun_Code_integer_o ) > $o ).

tff(pred_def_226,type,
    sP752: ( int * int * int ) > $o ).

tff(pred_def_227,type,
    sP753: ( int * int * int ) > $o ).

tff(pred_def_228,type,
    sP754: ( int * int * int ) > $o ).

tff(pred_def_229,type,
    sP755: ( rat * rat * rat ) > $o ).

tff(pred_def_230,type,
    sP756: ( rat * rat * rat ) > $o ).

tff(pred_def_231,type,
    sP757: ( rat * rat * rat ) > $o ).

tff(f1,axiom,
    aa_nat_o(aa_nat_fun_nat_o(heap_Time_effect_nat(array_len_a(a),h,h2),r),n),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_0_assms) ).

tff(f2,axiom,
    ( ( r = array_length_a(h2,a) )
   => ( ( h2 = h )
     => ( ( n = one_one_nat )
       => thesis ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1_that) ).

tff(f3,axiom,
    ! [X0: heap_e7401611519738050253t_unit,X1: heap_e7401611519738050253t_unit,X2: nat,X3: array_a,X4: nat] :
      ( ( X0 = X1 )
     => ( ( X2 = array_length_a(X1,X3) )
       => ( ( X4 = one_one_nat )
         => aa_nat_o(aa_nat_fun_nat_o(heap_Time_effect_nat(array_len_a(X3),X1,X0),X2),X4) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_2_effect__lengthI) ).

tff(f55,axiom,
    ! [X0: heap_Time_Heap_nat,X1: heap_e7401611519738050253t_unit,X2: heap_e7401611519738050253t_unit,X3: nat,X4: nat,X5: heap_e7401611519738050253t_unit,X6: nat,X7: nat] :
      ( aa_nat_o(aa_nat_fun_nat_o(heap_Time_effect_nat(X0,X1,X2),X3),X4)
     => ( aa_nat_o(aa_nat_fun_nat_o(heap_Time_effect_nat(X0,X1,X5),X6),X7)
       => ( X4 = X7 ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_54_effect__deterministic_I3_J) ).

tff(f56,axiom,
    ! [X0: heap_Time_Heap_nat,X1: heap_e7401611519738050253t_unit,X2: heap_e7401611519738050253t_unit,X3: nat,X4: nat,X5: heap_e7401611519738050253t_unit,X6: nat,X7: nat] :
      ( aa_nat_o(aa_nat_fun_nat_o(heap_Time_effect_nat(X0,X1,X2),X3),X4)
     => ( aa_nat_o(aa_nat_fun_nat_o(heap_Time_effect_nat(X0,X1,X5),X6),X7)
       => ( X2 = X5 ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_55_effect__deterministic_I2_J) ).

tff(f57,axiom,
    ! [X0: heap_Time_Heap_nat,X1: heap_e7401611519738050253t_unit,X2: heap_e7401611519738050253t_unit,X3: nat,X4: nat,X5: heap_e7401611519738050253t_unit,X6: nat,X7: nat] :
      ( aa_nat_o(aa_nat_fun_nat_o(heap_Time_effect_nat(X0,X1,X2),X3),X4)
     => ( aa_nat_o(aa_nat_fun_nat_o(heap_Time_effect_nat(X0,X1,X5),X6),X7)
       => ( X3 = X6 ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_56_effect__deterministic_I1_J) ).

tff(f7755,axiom,
    ! [X0: heap_e7401611519738050253t_unit,X1: array_a] : ( array_length_a(X0,X1) = size_size_list_a(array_get_a(X0,X1)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_7754_length__def) ).

tff(f9362,conjecture,
    thesis,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_1) ).

tff(f9363,negated_conjecture,
    ~ thesis,
    inference(negated_conjecture,[status(cth)],[f9362]) ).

tff(f10928,plain,
    ~ thesis,
    inference(flattening,[],[f9363]) ).

tff(f10969,plain,
    ( thesis
    | ( n != one_one_nat )
    | ( h != h2 )
    | ( r != array_length_a(h2,a) ) ),
    inference(ennf_transformation,[],[f2]) ).

tff(f10970,plain,
    ( thesis
    | ( n != one_one_nat )
    | ( h != h2 )
    | ( r != array_length_a(h2,a) ) ),
    inference(flattening,[],[f10969]) ).

tff(f10971,plain,
    ! [X0: heap_e7401611519738050253t_unit,X1: heap_e7401611519738050253t_unit,X2: nat,X3: array_a,X4: nat] :
      ( aa_nat_o(aa_nat_fun_nat_o(heap_Time_effect_nat(array_len_a(X3),X1,X0),X2),X4)
      | ( one_one_nat != X4 )
      | ( array_length_a(X1,X3) != X2 )
      | ( X0 != X1 ) ),
    inference(ennf_transformation,[],[f3]) ).

tff(f10972,plain,
    ! [X0: heap_e7401611519738050253t_unit,X1: heap_e7401611519738050253t_unit,X2: nat,X3: array_a,X4: nat] :
      ( aa_nat_o(aa_nat_fun_nat_o(heap_Time_effect_nat(array_len_a(X3),X1,X0),X2),X4)
      | ( one_one_nat != X4 )
      | ( array_length_a(X1,X3) != X2 )
      | ( X0 != X1 ) ),
    inference(flattening,[],[f10971]) ).

tff(f11004,plain,
    ! [X0: heap_Time_Heap_nat,X1: heap_e7401611519738050253t_unit,X2: heap_e7401611519738050253t_unit,X3: nat,X4: nat,X5: heap_e7401611519738050253t_unit,X6: nat,X7: nat] :
      ( ( X3 = X6 )
      | ~ aa_nat_o(aa_nat_fun_nat_o(heap_Time_effect_nat(X0,X1,X5),X6),X7)
      | ~ aa_nat_o(aa_nat_fun_nat_o(heap_Time_effect_nat(X0,X1,X2),X3),X4) ),
    inference(ennf_transformation,[],[f57]) ).

tff(f11005,plain,
    ! [X0: heap_Time_Heap_nat,X1: heap_e7401611519738050253t_unit,X2: heap_e7401611519738050253t_unit,X3: nat,X4: nat,X5: heap_e7401611519738050253t_unit,X6: nat,X7: nat] :
      ( ( X3 = X6 )
      | ~ aa_nat_o(aa_nat_fun_nat_o(heap_Time_effect_nat(X0,X1,X5),X6),X7)
      | ~ aa_nat_o(aa_nat_fun_nat_o(heap_Time_effect_nat(X0,X1,X2),X3),X4) ),
    inference(flattening,[],[f11004]) ).

tff(f11006,plain,
    ! [X0: heap_Time_Heap_nat,X1: heap_e7401611519738050253t_unit,X2: heap_e7401611519738050253t_unit,X3: nat,X4: nat,X5: heap_e7401611519738050253t_unit,X6: nat,X7: nat] :
      ( ( X2 = X5 )
      | ~ aa_nat_o(aa_nat_fun_nat_o(heap_Time_effect_nat(X0,X1,X5),X6),X7)
      | ~ aa_nat_o(aa_nat_fun_nat_o(heap_Time_effect_nat(X0,X1,X2),X3),X4) ),
    inference(ennf_transformation,[],[f56]) ).

tff(f11007,plain,
    ! [X0: heap_Time_Heap_nat,X1: heap_e7401611519738050253t_unit,X2: heap_e7401611519738050253t_unit,X3: nat,X4: nat,X5: heap_e7401611519738050253t_unit,X6: nat,X7: nat] :
      ( ( X2 = X5 )
      | ~ aa_nat_o(aa_nat_fun_nat_o(heap_Time_effect_nat(X0,X1,X5),X6),X7)
      | ~ aa_nat_o(aa_nat_fun_nat_o(heap_Time_effect_nat(X0,X1,X2),X3),X4) ),
    inference(flattening,[],[f11006]) ).

tff(f11008,plain,
    ! [X0: heap_Time_Heap_nat,X1: heap_e7401611519738050253t_unit,X2: heap_e7401611519738050253t_unit,X3: nat,X4: nat,X5: heap_e7401611519738050253t_unit,X6: nat,X7: nat] :
      ( ( X4 = X7 )
      | ~ aa_nat_o(aa_nat_fun_nat_o(heap_Time_effect_nat(X0,X1,X5),X6),X7)
      | ~ aa_nat_o(aa_nat_fun_nat_o(heap_Time_effect_nat(X0,X1,X2),X3),X4) ),
    inference(ennf_transformation,[],[f55]) ).

tff(f11009,plain,
    ! [X0: heap_Time_Heap_nat,X1: heap_e7401611519738050253t_unit,X2: heap_e7401611519738050253t_unit,X3: nat,X4: nat,X5: heap_e7401611519738050253t_unit,X6: nat,X7: nat] :
      ( ( X4 = X7 )
      | ~ aa_nat_o(aa_nat_fun_nat_o(heap_Time_effect_nat(X0,X1,X5),X6),X7)
      | ~ aa_nat_o(aa_nat_fun_nat_o(heap_Time_effect_nat(X0,X1,X2),X3),X4) ),
    inference(flattening,[],[f11008]) ).

tff(f12467,plain,
    ~ thesis,
    inference(cnf_transformation,[],[f10928]) ).

tff(f12468,plain,
    ( thesis
    | ( n != one_one_nat )
    | ( h != h2 )
    | ( r != array_length_a(h2,a) ) ),
    inference(cnf_transformation,[],[f10970]) ).

tff(f12469,plain,
    ! [X0: heap_e7401611519738050253t_unit,X1: array_a] : ( array_length_a(X0,X1) = size_size_list_a(array_get_a(X0,X1)) ),
    inference(cnf_transformation,[],[f7755]) ).

tff(f12470,plain,
    ! [X2: nat,X3: array_a,X0: heap_e7401611519738050253t_unit,X1: heap_e7401611519738050253t_unit,X4: nat] :
      ( aa_nat_o(aa_nat_fun_nat_o(heap_Time_effect_nat(array_len_a(X3),X1,X0),X2),X4)
      | ( one_one_nat != X4 )
      | ( array_length_a(X1,X3) != X2 )
      | ( X0 != X1 ) ),
    inference(cnf_transformation,[],[f10972]) ).

tff(f12527,plain,
    aa_nat_o(aa_nat_fun_nat_o(heap_Time_effect_nat(array_len_a(a),h,h2),r),n),
    inference(cnf_transformation,[],[f1]) ).

tff(f12553,plain,
    ! [X2: heap_e7401611519738050253t_unit,X3: nat,X0: heap_Time_Heap_nat,X1: heap_e7401611519738050253t_unit,X6: nat,X7: nat,X4: nat,X5: heap_e7401611519738050253t_unit] :
      ( ~ aa_nat_o(aa_nat_fun_nat_o(heap_Time_effect_nat(X0,X1,X5),X6),X7)
      | ( X3 = X6 )
      | ~ aa_nat_o(aa_nat_fun_nat_o(heap_Time_effect_nat(X0,X1,X2),X3),X4) ),
    inference(cnf_transformation,[],[f11005]) ).

tff(f12554,plain,
    ! [X2: heap_e7401611519738050253t_unit,X3: nat,X0: heap_Time_Heap_nat,X1: heap_e7401611519738050253t_unit,X6: nat,X7: nat,X4: nat,X5: heap_e7401611519738050253t_unit] :
      ( ~ aa_nat_o(aa_nat_fun_nat_o(heap_Time_effect_nat(X0,X1,X5),X6),X7)
      | ( X2 = X5 )
      | ~ aa_nat_o(aa_nat_fun_nat_o(heap_Time_effect_nat(X0,X1,X2),X3),X4) ),
    inference(cnf_transformation,[],[f11007]) ).

tff(f12555,plain,
    ! [X2: heap_e7401611519738050253t_unit,X3: nat,X0: heap_Time_Heap_nat,X1: heap_e7401611519738050253t_unit,X6: nat,X7: nat,X4: nat,X5: heap_e7401611519738050253t_unit] :
      ( ~ aa_nat_o(aa_nat_fun_nat_o(heap_Time_effect_nat(X0,X1,X5),X6),X7)
      | ( X4 = X7 )
      | ~ aa_nat_o(aa_nat_fun_nat_o(heap_Time_effect_nat(X0,X1,X2),X3),X4) ),
    inference(cnf_transformation,[],[f11009]) ).

tff(f14011,plain,
    ( thesis
    | ( n != one_one_nat )
    | ( h != h2 )
    | ( r != size_size_list_a(array_get_a(h2,a)) ) ),
    inference(definition_unfolding,[],[f12468,f12469]) ).

tff(f14012,plain,
    ! [X2: nat,X3: array_a,X0: heap_e7401611519738050253t_unit,X1: heap_e7401611519738050253t_unit,X4: nat] :
      ( aa_nat_o(aa_nat_fun_nat_o(heap_Time_effect_nat(array_len_a(X3),X1,X0),X2),X4)
      | ( one_one_nat != X4 )
      | ( size_size_list_a(array_get_a(X1,X3)) != X2 )
      | ( X0 != X1 ) ),
    inference(definition_unfolding,[],[f12470,f12469]) ).

tff(f14013,plain,
    ! [X2: nat,X3: array_a,X0: heap_e7401611519738050253t_unit,X1: heap_e7401611519738050253t_unit] :
      ( aa_nat_o(aa_nat_fun_nat_o(heap_Time_effect_nat(array_len_a(X3),X1,X0),X2),one_one_nat)
      | ( size_size_list_a(array_get_a(X1,X3)) != X2 )
      | ( X0 != X1 ) ),
    inference(equality_resolution,[],[f14012]) ).

tff(f14014,plain,
    ! [X3: array_a,X0: heap_e7401611519738050253t_unit,X1: heap_e7401611519738050253t_unit] :
      ( aa_nat_o(aa_nat_fun_nat_o(heap_Time_effect_nat(array_len_a(X3),X1,X0),size_size_list_a(array_get_a(X1,X3))),one_one_nat)
      | ( X0 != X1 ) ),
    inference(equality_resolution,[],[f14013]) ).

tff(f14015,plain,
    ! [X3: array_a,X1: heap_e7401611519738050253t_unit] : aa_nat_o(aa_nat_fun_nat_o(heap_Time_effect_nat(array_len_a(X3),X1,X1),size_size_list_a(array_get_a(X1,X3))),one_one_nat),
    inference(equality_resolution,[],[f14014]) ).

tff(f14394,definition,
    ( spl1011_3
  <=> ( r = size_size_list_a(array_get_a(h2,a)) ) ),
    introduced(definition,[new_symbols(definition,[spl1011_3])],[avatar_definition]) ).

tff(f14396,plain,
    ( ( r != size_size_list_a(array_get_a(h2,a)) )
    | spl1011_3 ),
    inference(avatar_component_clause,[],[f14394]) ).

tff(f14398,definition,
    ( spl1011_4
  <=> ( h = h2 ) ),
    introduced(definition,[new_symbols(definition,[spl1011_4])],[avatar_definition]) ).

tff(f14399,plain,
    ( ( h = h2 )
    | ~ spl1011_4 ),
    inference(avatar_component_clause,[],[f14398]) ).

tff(f14402,definition,
    ( spl1011_5
  <=> ( n = one_one_nat ) ),
    introduced(definition,[new_symbols(definition,[spl1011_5])],[avatar_definition]) ).

tff(f14406,definition,
    ( spl1011_6
  <=> thesis ),
    introduced(definition,[new_symbols(definition,[spl1011_6])],[avatar_definition]) ).

tff(f14409,plain,
    ( ~ spl1011_3
    | ~ spl1011_4
    | ~ spl1011_5
    | spl1011_6 ),
    inference(avatar_split_clause,[],[f14011,f14406,f14402,f14398,f14394]) ).

tff(f14410,plain,
    ~ spl1011_6,
    inference(avatar_split_clause,[],[f12467,f14406]) ).

tff(f14427,plain,
    ! [X2: nat,X0: nat,X1: heap_e7401611519738050253t_unit] :
      ( ~ aa_nat_o(aa_nat_fun_nat_o(heap_Time_effect_nat(array_len_a(a),h,X1),X0),X2)
      | ( r = X0 ) ),
    inference(resolution,[],[f12553,f12527]) ).

tff(f14430,plain,
    ! [X2: nat,X0: heap_e7401611519738050253t_unit,X1: nat] :
      ( ~ aa_nat_o(aa_nat_fun_nat_o(heap_Time_effect_nat(array_len_a(a),h,X0),X1),X2)
      | ( h2 = X0 ) ),
    inference(resolution,[],[f12554,f12527]) ).

tff(f14433,plain,
    ! [X2: nat,X0: nat,X1: heap_e7401611519738050253t_unit] :
      ( ~ aa_nat_o(aa_nat_fun_nat_o(heap_Time_effect_nat(array_len_a(a),h,X1),X2),X0)
      | ( n = X0 ) ),
    inference(resolution,[],[f12555,f12527]) ).

tff(f14439,plain,
    n = one_one_nat,
    inference(resolution,[],[f14015,f14433]) ).

tff(f14440,plain,
    h = h2,
    inference(resolution,[],[f14015,f14430]) ).

tff(f14441,plain,
    r = size_size_list_a(array_get_a(h,a)),
    inference(resolution,[],[f14015,f14427]) ).

tff(f14442,plain,
    spl1011_4,
    inference(avatar_split_clause,[],[f14440,f14398]) ).

tff(f14443,plain,
    spl1011_5,
    inference(avatar_split_clause,[],[f14439,f14402]) ).

tff(f14450,plain,
    ( ( r = size_size_list_a(array_get_a(h2,a)) )
    | ~ spl1011_4 ),
    inference(superposition,[],[f14441,f14399]) ).

tff(f14453,plain,
    ( $false
    | spl1011_3
    | ~ spl1011_4 ),
    inference(forward_subsumption_resolution,[],[f14450,f14396]) ).

tff(f14454,plain,
    ( spl1011_3
    | ~ spl1011_4 ),
    inference(avatar_contradiction_clause,[],[f14453]) ).

cnf(s9,plain,
    ( ~ spl1011_3
    | ~ spl1011_4
    | ~ spl1011_5
    | spl1011_6 ),
    inference(sat_conversion,[],[f14409]) ).

cnf(s10,plain,
    ~ spl1011_6,
    inference(sat_conversion,[],[f14410]) ).

cnf(s11,plain,
    spl1011_4,
    inference(sat_conversion,[],[f14442]) ).

cnf(s12,plain,
    spl1011_5,
    inference(sat_conversion,[],[f14443]) ).

cnf(s13,plain,
    ( spl1011_3
    | ~ spl1011_4 ),
    inference(sat_conversion,[],[f14454]) ).

cnf(s14,plain,
    spl1011_3,
    inference(rat,[],[s13,s11]) ).

cnf(s15,plain,
    $false,
    inference(rat,[],[s9,s10,s12,s11,s14]) ).

tff(f14455,plain,
    $false,
    inference(avatar_sat_refutation,[],[s15]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : ITP208_3 : TPTP v9.3.1. Bugfixed v9.3.0.
% 0.00/0.06  % Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.13/0.42  % Computer : n013.cluster.edu
% 0.13/0.42  % Model    : x86_64 x86_64
% 0.13/0.42  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.42  % Memory   : 8046.5625MB
% 0.13/0.42  % OS       : Linux 6.8.0-71-generic
% 0.13/0.43  % CPULimit : 300
% 0.13/0.43  % WCLimit  : 300
% 0.13/0.43  % DateTime : Sun Sep 27 12:22:22 UTC 2026
% 0.13/0.43  % CPUTime  : 
% 0.13/0.43  Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.17/0.47  Running first-order theorem proving
% 0.17/0.47  Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 6.11/3.14  % (148649)Detected formulas, will run a generic FOF schedule.
% 6.11/3.14  % (148764)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2447637596:i=119:av=off:ss=axioms_2994 on theBenchmark for (2994ds/119Mi)
% 6.11/3.14  % (148764)Instruction limit reached! 
% 6.11/3.14  % (148764)------------------------------
% 6.11/3.14  % (148764)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.11/3.14  % (148764)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.11/3.14  % (148764)CaDiCaL version: 2.1.3
% 6.11/3.14  % (148764)Termination reason: Instruction limit
% 6.11/3.14  % (148764)Termination phase: Property scanning
% 6.11/3.14  % (148764)Time elapsed: 0.032 s
% 6.11/3.14  % (148764)Peak memory usage: 95 MB
% 6.11/3.14  % (148764)Instructions burned: 120 (million)
% 6.11/3.14  % (148761)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=1024335081:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2994 on theBenchmark for (2994ds/134677Mi)
% 6.11/3.14  % (148763)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1772644461:i=109:sd=1:ins=1:gsp=on:ss=axioms_2994 on theBenchmark for (2994ds/109Mi)
% 6.11/3.14  % (148762)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=4001698181:i=141695:sd=1:nm=32:gsp=on:ss=included_2994 on theBenchmark for (2994ds/141695Mi)
% 6.11/3.14  % (148760)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=1133563122:i=141193_2994 on theBenchmark for (2994ds/141193Mi)
% 6.11/3.14  % (148765)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1542456069:s2a=on:i=139:gtg=position_2994 on theBenchmark for (2994ds/139Mi)
% 6.11/3.14  % (148766)dis-21_1_sil=8000:lcm=predicate:random_seed=2287599053:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2994 on theBenchmark for (2994ds/129Mi)
% 6.11/3.14  % (148763)Instruction limit reached! 
% 6.11/3.14  % (148763)------------------------------
% 6.11/3.14  % (148763)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.11/3.14  % (148763)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.11/3.14  % (148763)CaDiCaL version: 2.1.3
% 6.11/3.14  % (148763)Termination reason: Instruction limit
% 6.11/3.14  % (148763)Termination phase: Property scanning
% 6.11/3.14  % (148763)Time elapsed: 0.053 s
% 6.11/3.14  % (148763)Peak memory usage: 94 MB
% 6.11/3.14  % (148763)Instructions burned: 110 (million)
% 6.11/3.14  % (148765)Instruction limit reached! 
% 6.11/3.14  % (148765)------------------------------
% 6.11/3.14  % (148765)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.11/3.14  % (148765)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.11/3.14  % (148765)CaDiCaL version: 2.1.3
% 6.11/3.14  % (148765)Termination reason: Instruction limit
% 6.11/3.14  % (148765)Termination phase: Property scanning
% 6.11/3.14  % (148765)Time elapsed: 0.055 s
% 6.11/3.14  % (148765)Peak memory usage: 92 MB
% 6.11/3.14  % (148765)Instructions burned: 139 (million)
% 6.11/3.14  % (148766)Instruction limit reached! 
% 6.11/3.14  % (148766)------------------------------
% 6.11/3.14  % (148766)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.11/3.14  % (148766)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.11/3.14  % (148766)CaDiCaL version: 2.1.3
% 6.11/3.14  % (148766)Termination reason: Instruction limit
% 6.11/3.14  % (148766)Termination phase: Property scanning
% 6.11/3.14  % (148766)Time elapsed: 0.061 s
% 6.11/3.14  % (148766)Peak memory usage: 94 MB
% 6.11/3.14  % (148766)Instructions burned: 131 (million)
% 6.11/3.14  % (148768)lrs+10_1_sil=8000:sp=occurrence:random_seed=1003761634:i=285:sd=3:ss=axioms:sgt=8_2993 on theBenchmark for (2993ds/285Mi)
% 6.11/3.14  % (148768)Instruction limit reached! 
% 6.11/3.14  % (148768)------------------------------
% 6.11/3.14  % (148768)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.11/3.14  % (148768)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.11/3.14  % (148768)CaDiCaL version: 2.1.3
% 6.11/3.14  % (148768)Termination reason: Instruction limit
% 6.11/3.14  % (148768)Termination phase: Saturation
% 6.11/3.14  % (148768)Time elapsed: 0.076 s
% 6.11/3.14  % (148768)Peak memory usage: 97 MB
% 6.11/3.14  % (148768)Instructions burned: 287 (million)
% 6.11/3.14  % (148775)lrs+10_1_sil=32000:urr=on:br=off:random_seed=1885939114:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2992 on theBenchmark for (2992ds/157Mi)
% 6.11/3.14  % (148777)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=2069341405:s2a=on:i=248:s2at=1.23:gtg=position_2992 on theBenchmark for (2992ds/248Mi)
% 6.11/3.14  % (148776)lrs+1011_1_sil=32000:sp=occurrence:random_seed=421341189:i=325:sd=1:ss=axioms:sgt=32_2992 on theBenchmark for (2992ds/325Mi)
% 6.11/3.14  % (148775)Instruction limit reached! 
% 6.11/3.14  % (148775)------------------------------
% 6.11/3.14  % (148775)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.11/3.14  % (148775)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.11/3.14  % (148775)CaDiCaL version: 2.1.3
% 6.11/3.14  % (148775)Termination reason: Instruction limit
% 6.11/3.14  % (148775)Termination phase: Initialization
% 6.11/3.14  % (148775)Time elapsed: 0.062 s
% 6.11/3.14  % (148775)Peak memory usage: 93 MB
% 6.11/3.14  % (148775)Instructions burned: 157 (million)
% 6.11/3.14  % (148779)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=2284958212:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2991 on theBenchmark for (2991ds/294Mi)
% 6.11/3.14  % (148777)Instruction limit reached! 
% 6.11/3.14  % (148777)------------------------------
% 6.11/3.14  % (148777)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.11/3.14  % (148777)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.11/3.14  % (148777)CaDiCaL version: 2.1.3
% 6.11/3.14  % (148777)Termination reason: Instruction limit
% 6.11/3.14  % (148777)Termination phase: Property scanning
% 6.11/3.14  % (148777)Time elapsed: 0.108 s
% 6.11/3.14  % (148777)Peak memory usage: 94 MB
% 6.11/3.14  % (148777)Instructions burned: 249 (million)
% 6.11/3.14  % (148776)Refutation not found, incomplete strategy
% 6.11/3.14  % (148776)------------------------------
% 6.11/3.14  % (148776)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.11/3.14  % (148776)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.11/3.14  % (148776)CaDiCaL version: 2.1.3
% 6.11/3.14  % (148776)Termination reason: Refutation not found, incomplete strategy
% 6.11/3.14  % (148776)Time elapsed: 0.124 s
% 6.11/3.14  % (148776)Peak memory usage: 98 MB
% 6.11/3.14  % (148776)Instructions burned: 253 (million)
% 6.11/3.14  % (148779)Instruction limit reached! 
% 6.11/3.14  % (148779)------------------------------
% 6.11/3.14  % (148779)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.11/3.14  % (148779)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.11/3.14  % (148779)CaDiCaL version: 2.1.3
% 6.11/3.14  % (148779)Termination reason: Instruction limit
% 6.11/3.14  % (148779)Termination phase: Saturation
% 6.11/3.14  % (148779)Time elapsed: 0.078 s
% 6.11/3.14  % (148779)Peak memory usage: 98 MB
% 6.11/3.14  % (148779)Instructions burned: 295 (million)
% 6.11/3.14  % (148783)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=2914415418:i=2350_2990 on theBenchmark for (2990ds/2350Mi)
% 6.11/3.14  % (148785)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=1325642537:cts=off:i=113:fsr=off:ss=included:sgt=4_2989 on theBenchmark for (2989ds/113Mi)
% 6.11/3.14  % (148786)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=2558218093:i=127:av=off:fsr=off:sup=off_2989 on theBenchmark for (2989ds/127Mi)
% 6.11/3.14  % (148786)Instruction limit reached! 
% 6.11/3.14  % (148786)------------------------------
% 6.11/3.14  % (148786)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.11/3.14  % (148786)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.11/3.14  % (148786)CaDiCaL version: 2.1.3
% 6.11/3.14  % (148786)Termination reason: Instruction limit
% 6.11/3.14  % (148786)Termination phase: Property scanning
% 6.11/3.14  % (148786)Time elapsed: 0.033 s
% 6.11/3.14  % (148786)Peak memory usage: 95 MB
% 6.11/3.14  % (148786)Instructions burned: 130 (million)
% 6.11/3.14  % (148785)Instruction limit reached! 
% 6.11/3.14  % (148785)------------------------------
% 6.11/3.14  % (148785)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.11/3.14  % (148785)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.11/3.14  % (148785)CaDiCaL version: 2.1.3
% 6.11/3.14  % (148785)Termination reason: Instruction limit
% 6.11/3.14  % (148785)Termination phase: Property scanning
% 6.11/3.14  % (148785)Time elapsed: 0.054 s
% 6.11/3.14  % (148785)Peak memory usage: 95 MB
% 6.11/3.14  % (148785)Instructions burned: 113 (million)
% 6.11/3.14  % (148776)------------------------------
% 6.11/3.14  % (148776)------------------------------
% 6.11/3.14  % (148790)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=1739100885:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2987 on theBenchmark for (2987ds/114Mi)
% 6.11/3.14  % (148790)Instruction limit reached! 
% 6.11/3.14  % (148790)------------------------------
% 6.11/3.14  % (148790)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.11/3.14  % (148790)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.11/3.14  % (148790)CaDiCaL version: 2.1.3
% 6.11/3.14  % (148790)Termination reason: Instruction limit
% 6.11/3.14  % (148790)Termination phase: Property scanning
% 6.11/3.14  % (148790)Time elapsed: 0.024 s
% 6.11/3.14  % (148790)Peak memory usage: 92 MB
% 6.11/3.14  % (148790)Instructions burned: 115 (million)
% 6.11/3.14  % (148791)lrs+10_1_sil=8000:sp=occurrence:random_seed=568017821:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2987 on theBenchmark for (2987ds/907Mi)
% 6.11/3.14  % (148792)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=2414075414:i=437:sd=1:aac=none:ss=included_2987 on theBenchmark for (2987ds/437Mi)
% 6.11/3.14  % (148794)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=3502979647:i=5202:ss=axioms:sgt=16_2986 on theBenchmark for (2986ds/5202Mi)
% 6.11/3.14  % (148792)Instruction limit reached! 
% 6.11/3.14  % (148792)------------------------------
% 6.11/3.14  % (148792)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.11/3.14  % (148792)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.11/3.14  % (148792)CaDiCaL version: 2.1.3
% 6.11/3.14  % (148792)Termination reason: Instruction limit
% 6.11/3.14  % (148792)Termination phase: Preprocessing 3
% 6.11/3.14  % (148792)Time elapsed: 0.229 s
% 6.11/3.14  % (148792)Peak memory usage: 101 MB
% 6.11/3.14  % (148792)Instructions burned: 437 (million)
% 6.11/3.14  % (148798)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=536484463:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2983 on theBenchmark for (2983ds/134Mi)
% 6.11/3.14  % (148791)Instruction limit reached! 
% 6.11/3.14  % (148791)------------------------------
% 6.11/3.14  % (148791)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.11/3.14  % (148791)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.11/3.14  % (148791)CaDiCaL version: 2.1.3
% 6.11/3.14  % (148791)Termination reason: Instruction limit
% 6.11/3.14  % (148791)Termination phase: Saturation
% 6.11/3.14  % (148791)Time elapsed: 0.524 s
% 6.11/3.14  % (148791)Peak memory usage: 105 MB
% 6.11/3.14  % (148791)Instructions burned: 908 (million)
% 6.11/3.14  % (148798)Instruction limit reached! 
% 6.11/3.14  % (148798)------------------------------
% 6.11/3.14  % (148798)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.11/3.14  % (148798)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.11/3.14  % (148798)CaDiCaL version: 2.1.3
% 6.11/3.14  % (148798)Termination reason: Instruction limit
% 6.11/3.14  % (148798)Termination phase: NewCNF
% 6.11/3.14  % (148798)Time elapsed: 0.096 s
% 6.11/3.14  % (148798)Peak memory usage: 97 MB
% 6.11/3.14  % (148798)Instructions burned: 135 (million)
% 6.11/3.14  % (148794)First to succeed.
% 6.11/3.14  % (148794)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-148649"
% 6.11/3.14  % (148801)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=3466210645:st=8:i=592:sd=3:ep=RST:ss=axioms_2980 on theBenchmark for (2980ds/592Mi)
% 6.11/3.14  % (148802)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=858037836:st=3:i=13193:sd=3:ss=axioms_2980 on theBenchmark for (2980ds/13193Mi)
% 6.11/3.14  % (148794)Refutation found. Thanks to Tanya!
% 6.11/3.14  % SZS status Theorem for theBenchmark
% 6.11/3.14  % SZS output start Proof for theBenchmark
% See solution above
% 13.18/3.34  % (148794)------------------------------
% 13.18/3.34  % (148794)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.18/3.34  % (148794)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.18/3.34  % (148794)CaDiCaL version: 2.1.3
% 13.18/3.34  % (148794)Termination reason: Refutation
% 13.18/3.34  % (148794)Time elapsed: 0.562 s
% 13.18/3.34  % (148794)Peak memory usage: 153 MB
% 13.18/3.34  % (148794)Instructions burned: 1702 (million)
% 13.18/3.34  % (148794)------------------------------
% 13.18/3.34  % (148794)------------------------------
% 13.18/3.34  % (148649)Success in time 2.226 s
% 13.18/3.34  % Vampire exiting
%------------------------------------------------------------------------------