Vampire---5.0.1.THM-Ref.s

%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : ITP208_1 : TPTP v9.3.1. Released v8.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM

% Computer : n003.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 11:30:03 AM UTC 2026

% Result   : Theorem 16.07s 6.18s
% Output   : Refutation 34.47s
% 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    :    5 (   2 avg)
%            Number of types       :  238 ( 237 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of predicates  :  155 ( 153 usr;   6 prp; 0-6 aty)
%            Number of functors    : 1440 (1440 usr; 378 con; 0-8 aty)
%            Number of variables   :  145 (   0 sgn 145   !;   0   ?; 145   :)

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

tff(type_def_6,type,
    fun_fu4272674133525273539t_bool: $tType ).

tff(type_def_7,type,
    fun_fu2754956555950464963t_bool: $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_Pr4637083014979798189l_bool: $tType ).

tff(type_def_12,type,
    fun_fu8778301040783821591l_bool: $tType ).

tff(type_def_13,type,
    fun_fu4671764723984660721t_bool: $tType ).

tff(type_def_14,type,
    fun_fu2749353902725170073t_bool: $tType ).

tff(type_def_15,type,
    fun_fu2194082084716825453t_bool: $tType ).

tff(type_def_16,type,
    fun_Pr2477239776880934807at_nat: $tType ).

tff(type_def_17,type,
    fun_Pr1308109350235310159nt_int: $tType ).

tff(type_def_18,type,
    set_Pr4329608150637261639at_nat: $tType ).

tff(type_def_19,type,
    fun_Pr5876161306168176259nteger: $tType ).

tff(type_def_20,type,
    option8956607266484857688it_nat: $tType ).

tff(type_def_21,type,
    produc3843707927480180839at_nat: $tType ).

tff(type_def_22,type,
    fun_fu3064074204415222357nt_int: $tType ).

tff(type_def_23,type,
    fun_fu1098312133097393581at_rat: $tType ).

tff(type_def_24,type,
    fun_na1668100129766719005at_nat: $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_fu813382667476268716l_bool: $tType ).

tff(type_def_30,type,
    fun_fu8159772421396582028t_bool: $tType ).

tff(type_def_31,type,
    fun_Co3025358997185726883r_bool: $tType ).

tff(type_def_32,type,
    fun_fu7919257609373989805t_bool: $tType ).

tff(type_def_33,type,
    fun_fu4802881585551670701t_bool: $tType ).

tff(type_def_34,type,
    fun_Pr248683899324676269t_bool: $tType ).

tff(type_def_35,type,
    fun_Pr3099820731930151597t_bool: $tType ).

tff(type_def_36,type,
    fun_na8713714802964096592at_nat: $tType ).

tff(type_def_37,type,
    produc5835291356934675326atural: $tType ).

tff(type_def_38,type,
    fun_fu3307002049327355231l_bool: $tType ).

tff(type_def_39,type,
    fun_fu6750301411456490045r_bool: $tType ).

tff(type_def_40,type,
    produc859450856879609959at_nat: $tType ).

tff(type_def_41,type,
    fun_fu2868497722653781188t_bool: $tType ).

tff(type_def_42,type,
    fun_na4786964484885125043t_bool: $tType ).

tff(type_def_43,type,
    fun_fu1432019548987072325l_bool: $tType ).

tff(type_def_44,type,
    fun_fu7460908759652350970nt_rat: $tType ).

tff(type_def_45,type,
    fun_fu2005298298577998622l_bool: $tType ).

tff(type_def_46,type,
    fun_na4143055713577223196at_nat: $tType ).

tff(type_def_47,type,
    fun_in2204242111582549184nt_int: $tType ).

tff(type_def_48,type,
    fun_Co6597186368970283863nteger: $tType ).

tff(type_def_49,type,
    fun_fu8172925815900240338r_bool: $tType ).

tff(type_def_50,type,
    fun_Pr2118491707810114563at_nat: $tType ).

tff(type_def_51,type,
    fun_Pr2478283820680522243nt_int: $tType ).

tff(type_def_52,type,
    fun_fu6924846375782198887atural: $tType ).

tff(type_def_53,type,
    fun_fu6921880696561781257nteger: $tType ).

tff(type_def_54,type,
    fun_Co7333321365496032713r_bool: $tType ).

tff(type_def_55,type,
    fun_fu5827305053654988013l_bool: $tType ).

tff(type_def_56,type,
    fun_fu7925731147167280621l_bool: $tType ).

tff(type_def_57,type,
    fun_fu9051297857939674819t_bool: $tType ).

tff(type_def_58,type,
    fun_fu5970656269460422159t_bool: $tType ).

tff(type_def_59,type,
    fun_fu8467804991414204575t_bool: $tType ).

tff(type_def_60,type,
    fun_Co6813818151677833714atural: $tType ).

tff(type_def_61,type,
    fun_Co1981900195452921617nteger: $tType ).

tff(type_def_62,type,
    fun_Pr5932607294251420486t_bool: $tType ).

tff(type_def_63,type,
    fun_Pr3145601080792579042t_bool: $tType ).

tff(type_def_64,type,
    fun_na4827981024643048934t_bool: $tType ).

tff(type_def_65,type,
    fun_na4138050610385705875at_nat: $tType ).

tff(type_def_66,type,
    fun_in1696471567231710611nt_int: $tType ).

tff(type_def_67,type,
    fun_fu3380082687118895412nteger: $tType ).

tff(type_def_68,type,
    produc6653097349344004940it_nat: $tType ).

tff(type_def_69,type,
    fun_li8598321315282354825t_bool: $tType ).

tff(type_def_70,type,
    fun_se8074476271188067385t_bool: $tType ).

tff(type_def_71,type,
    fun_se9142667792015812128at_int: $tType ).

tff(type_def_72,type,
    fun_in8804710076054006414at_nat: $tType ).

tff(type_def_73,type,
    fun_fu1032279790925302627l_bool: $tType ).

tff(type_def_74,type,
    fun_fu7344326129191042041r_bool: $tType ).

tff(type_def_75,type,
    fun_Co9170264581657726457l_bool: $tType ).

tff(type_def_76,type,
    fun_Co8310303586393106575r_bool: $tType ).

tff(type_def_77,type,
    fun_na607345901702507418atural: $tType ).

tff(type_def_78,type,
    fun_na7078387940644931716nteger: $tType ).

tff(type_def_79,type,
    fun_Co8521658056209057742er_num: $tType ).

tff(type_def_80,type,
    fun_Co3583066429914935172er_nat: $tType ).

tff(type_def_81,type,
    fun_Co1092983284983208416er_int: $tType ).

tff(type_def_82,type,
    set_se7855581050983116737at_nat: $tType ).

tff(type_def_83,type,
    produc7822875418678951345atural: $tType ).

tff(type_def_84,type,
    produc8923325533196201883nteger: $tType ).

tff(type_def_85,type,
    fun_fu3889889255038636099t_bool: $tType ).

tff(type_def_86,type,
    fun_ty25169735533777662st_nat: $tType ).

tff(type_def_87,type,
    fun_na3408937105440547634t_bool: $tType ).

tff(type_def_88,type,
    fun_in6148020733644367646t_bool: $tType ).

tff(type_def_89,type,
    fun_na3244735409550470327at_nat: $tType ).

tff(type_def_90,type,
    fun_he1033112309995878576it_nat: $tType ).

tff(type_def_91,type,
    fun_Pr7757163693017731481t_bool: $tType ).

tff(type_def_92,type,
    fun_Pr803113274115125473t_bool: $tType ).

tff(type_def_93,type,
    fun_ra4503298312962071866nt_int: $tType ).

tff(type_def_94,type,
    fun_Pr2602117396471556196at_nat: $tType ).

tff(type_def_95,type,
    fun_Pr7647638413817135296at_int: $tType ).

tff(type_def_96,type,
    fun_Pr1652463973008025892nt_rat: $tType ).

tff(type_def_97,type,
    fun_na5614638261385347865t_bool: $tType ).

tff(type_def_98,type,
    fun_na1476630412504255114at_nat: $tType ).

tff(type_def_99,type,
    fun_in4514472496968388910at_nat: $tType ).

tff(type_def_100,type,
    fun_in4211310926729683942nt_int: $tType ).

tff(type_def_101,type,
    fun_na819858167508000762st_nat: $tType ).

tff(type_def_102,type,
    fun_na5042103099923536755t_bool: $tType ).

tff(type_def_103,type,
    fun_na7327111457444404817l_bool: $tType ).

tff(type_def_104,type,
    fun_in5519481650651148416r_bool: $tType ).

tff(type_def_105,type,
    fun_Co6299454908631939665t_bool: $tType ).

tff(type_def_106,type,
    fun_Co8657364630979331932t_bool: $tType ).

tff(type_def_107,type,
    fun_nu2537414170016844299nteger: $tType ).

tff(type_def_108,type,
    list_P2722043638750504429l_bool: $tType ).

tff(type_def_109,type,
    fun_Su884838341992399436at_nat: $tType ).

tff(type_def_110,type,
    fun_na3635074868517587788at_nat: $tType ).

tff(type_def_111,type,
    list_P6781292141273955916t_bool: $tType ).

tff(type_def_112,type,
    list_P6321009189627309296t_bool: $tType ).

tff(type_def_113,type,
    list_P18149847613930150ol_nat: $tType ).

tff(type_def_114,type,
    list_P6751438739536979202ol_int: $tType ).

tff(type_def_115,type,
    list_P6011104703257516679at_nat: $tType ).

tff(type_def_116,type,
    list_P3521021558325789923at_int: $tType ).

tff(type_def_117,type,
    list_P8198026277950538467nt_nat: $tType ).

tff(type_def_118,type,
    list_P5707943133018811711nt_int: $tType ).

tff(type_def_119,type,
    produc7417142470700560111r_bool: $tType ).

tff(type_def_120,type,
    set_Pr1261947904930325089at_nat: $tType ).

tff(type_def_121,type,
    set_Pr958786334691620121nt_int: $tType ).

tff(type_def_122,type,
    fun_ty5154387363802369006at_nat: $tType ).

tff(type_def_123,type,
    fun_Co7398788559141407565atural: $tType ).

tff(type_def_124,type,
    fun_Co2940338738630218498nteger: $tType ).

tff(type_def_125,type,
    fun_Co3734316457315071362atural: $tType ).

tff(type_def_126,type,
    fun_Co8499238673658658103nteger: $tType ).

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

tff(type_def_128,type,
    fun_bo1841576699660343469l_bool: $tType ).

tff(type_def_129,type,
    fun_fu7168253649841883962l_bool: $tType ).

tff(type_def_130,type,
    fun_na9137082442855928016l_bool: $tType ).

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

tff(type_def_146,type,
    heap_T5738788834812785303t_unit: $tType ).

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

tff(type_def_148,type,
    produc2804947525362035943l_bool: $tType ).

tff(type_def_149,type,
    heap_e7401611519738050253t_unit: $tType ).

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

tff(type_def_151,type,
    produc8000372497851584572t_bool: $tType ).

tff(type_def_152,type,
    produc4876081531382960352t_bool: $tType ).

tff(type_def_153,type,
    produc567104428201204118ol_nat: $tType ).

tff(type_def_154,type,
    produc5612625445546783218ol_int: $tType ).

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

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

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

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

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

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

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

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

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

tff(type_def_164,type,
    fun_bo2517147204845630802atural: $tType ).

tff(type_def_165,type,
    fun_bo7282069421189217543nteger: $tType ).

tff(type_def_166,type,
    fun_Co7175331531449502024l_bool: $tType ).

tff(type_def_167,type,
    fun_Co8822979462182099027r_bool: $tType ).

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

tff(func_def_0,type,
    aTP_Lamm_a: set_Pr1261947904930325089at_nat > fun_Pr7757163693017731481t_bool ).

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

tff(func_def_2,type,
    aTP_Lamm_ab: set_se7855581050983116737at_nat > fun_se8074476271188067385t_bool ).

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

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

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

tff(func_def_6,type,
    aTP_Lamm_af: fun_nat_fun_nat_bool ).

tff(func_def_7,type,
    aTP_Lamm_ag: fun_nat_fun_nat_bool ).

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

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

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

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

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_bool ).

tff(func_def_14,type,
    aTP_Lamm_an: fun_nat_bool > fun_nat_fun_nat_bool ).

tff(func_def_15,type,
    aTP_Lamm_ao: fun_int_fun_int_bool ).

tff(func_def_16,type,
    aTP_Lamm_ap: fun_nat_fun_nat_nat ).

tff(func_def_17,type,
    aTP_Lamm_aq: nat > fun_na5614638261385347865t_bool ).

tff(func_def_18,type,
    aTP_Lamm_ar: nat > fun_na5614638261385347865t_bool ).

tff(func_def_19,type,
    aTP_Lamm_as: nat > fun_na5614638261385347865t_bool ).

tff(func_def_20,type,
    aTP_Lamm_at: fun_nat_fun_nat_bool ).

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

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

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_bool ).

tff(func_def_28,type,
    aTP_Lamm_bb: fun_nat_fun_nat_nat ).

tff(func_def_29,type,
    aTP_Lamm_bc: code_integer > fun_Co3025358997185726883r_bool ).

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_in6148020733644367646t_bool ).

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

tff(func_def_43,type,
    aTP_Lamm_bq: int > fun_in6148020733644367646t_bool ).

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

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_bool ).

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

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_bool ).

tff(func_def_73,type,
    aTP_Lamm_cu: fun_nat_bool ).

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_bool ).

tff(func_def_82,type,
    aTP_Lamm_dd: nat > fun_na3408937105440547634t_bool ).

tff(func_def_83,type,
    aTP_Lamm_de: fun_na4786964484885125043t_bool ).

tff(func_def_84,type,
    aTP_Lamm_df: nat > fun_na3408937105440547634t_bool ).

tff(func_def_85,type,
    aTP_Lamm_dg: fun_na4786964484885125043t_bool ).

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_Pr803113274115125473t_bool ).

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

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

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_bool ).

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_na3408937105440547634t_bool ).

tff(func_def_101,type,
    aTP_Lamm_dw: fun_na4786964484885125043t_bool ).

tff(func_def_102,type,
    aTP_Lamm_dx: fun_num_option_num ).

tff(func_def_103,type,
    aTP_Lamm_dy: fun_nat_fun_nat_bool ).

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

tff(func_def_105,type,
    aTP_Lamm_ea: rat > fun_Pr803113274115125473t_bool ).

tff(func_def_106,type,
    aTP_Lamm_eb: fun_na819858167508000762st_nat ).

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

tff(func_def_108,type,
    aTP_Lamm_ed: nat > fun_na5042103099923536755t_bool ).

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

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_bool ).

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_se8074476271188067385t_bool ).

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_bool: ( heap_e7401611519738050253t_unit * array_bool ) > list_bool ).

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_bool: ( heap_e7401611519738050253t_unit * array_bool ) > 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_re3324582151780938536l_bool: ( fun_in5519481650651148416r_bool * fun_bo1841576699660343469l_bool ) > fun_fu2005298298577998622l_bool ).

tff(func_def_137,type,
    bNF_re3379532845092657523nteger: ( fun_in5519481650651148416r_bool * fun_in5519481650651148416r_bool ) > fun_fu6750301411456490045r_bool ).

tff(func_def_138,type,
    bNF_re9007465950226028919l_bool: ( fun_int_fun_int_bool * fun_bo1841576699660343469l_bool ) > fun_fu7925731147167280621l_bool ).

tff(func_def_139,type,
    bNF_re4712519889275205905nt_int: ( fun_int_fun_int_bool * fun_int_fun_int_bool ) > fun_fu8467804991414204575t_bool ).

tff(func_def_140,type,
    bNF_re6250860962936578807nt_int: ( fun_int_fun_int_bool * fun_Pr3099820731930151597t_bool ) > fun_fu2194082084716825453t_bool ).

tff(func_def_141,type,
    bNF_re2214769303045360666nt_rat: ( fun_int_fun_int_bool * fun_Pr3145601080792579042t_bool ) > fun_fu8159772421396582028t_bool ).

tff(func_def_142,type,
    bNF_re8879404696352373527l_bool: ( fun_na7327111457444404817l_bool * fun_bo1841576699660343469l_bool ) > fun_fu1432019548987072325l_bool ).

tff(func_def_143,type,
    bNF_re3704215830270325841atural: ( fun_na7327111457444404817l_bool * fun_na7327111457444404817l_bool ) > fun_fu3307002049327355231l_bool ).

tff(func_def_144,type,
    bNF_re6223507645442431167l_bool: ( fun_nat_fun_nat_bool * fun_bo1841576699660343469l_bool ) > fun_fu5827305053654988013l_bool ).

tff(func_def_145,type,
    bNF_re5653821019739307937at_nat: ( fun_nat_fun_nat_bool * fun_nat_fun_nat_bool ) > fun_fu5970656269460422159t_bool ).

tff(func_def_146,type,
    bNF_re6501075790457514782nteger: ( fun_num_fun_num_bool * fun_in5519481650651148416r_bool ) > fun_fu8172925815900240338r_bool ).

tff(func_def_147,type,
    bNF_re1822329894187522285nt_int: ( fun_num_fun_num_bool * fun_int_fun_int_bool ) > fun_fu9051297857939674819t_bool ).

tff(func_def_148,type,
    bNF_re7145576690424134365nt_int: ( fun_Pr3099820731930151597t_bool * fun_Pr3099820731930151597t_bool ) > fun_fu2754956555950464963t_bool ).

tff(func_def_149,type,
    bNF_re8279943556446156061nt_rat: ( fun_Pr3145601080792579042t_bool * fun_Pr3145601080792579042t_bool ) > fun_fu2749353902725170073t_bool ).

tff(func_def_150,type,
    bNF_re1498568104593929552l_bool: ( fun_Pr5932607294251420486t_bool * fun_bo1841576699660343469l_bool ) > fun_fu813382667476268716l_bool ).

tff(func_def_151,type,
    bNF_re7400052026677387805at_int: ( fun_Pr5932607294251420486t_bool * fun_Pr5932607294251420486t_bool ) > fun_fu4671764723984660721t_bool ).

tff(func_def_152,type,
    bNF_re3189209160384574813l_bool: ( fun_Pr248683899324676269t_bool * fun_bo1841576699660343469l_bool ) > fun_fu8778301040783821591l_bool ).

tff(func_def_153,type,
    bNF_re2241393799969408733at_nat: ( fun_Pr248683899324676269t_bool * fun_Pr248683899324676269t_bool ) > fun_fu4272674133525273539t_bool ).

tff(func_def_154,type,
    bNF_We3818239936649020644el_nat: fun_se8074476271188067385t_bool ).

tff(func_def_155,type,
    basic_570253317919918037at_nat: ( fun_nat_bool * fun_nat_bool ) > fun_Pr7757163693017731481t_bool ).

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_Pr3099820731930151597t_bool ).

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_Co8657364630979331932t_bool ).

tff(func_def_211,type,
    bit_se8040316288895769887atural: fun_Co6299454908631939665t_bool ).

tff(func_def_212,type,
    bit_se1146084159140164899it_int: fun_int_fun_nat_bool ).

tff(func_def_213,type,
    bit_se1148574629649215175it_nat: fun_nat_fun_nat_bool ).

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

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

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

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

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_Co8310303586393106575r_bool ).

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

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 > produc7417142470700560111r_bool ).

tff(func_def_226,type,
    code_cr_integer: fun_in5519481650651148416r_bool ).

tff(func_def_227,type,
    code_cr_natural: fun_na7327111457444404817l_bool ).

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_in5519481650651148416r_bool ).

tff(func_def_243,type,
    code_pcr_natural: fun_na7327111457444404817l_bool ).

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_Pr7757163693017731481t_bool ).

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_bool ).

tff(func_def_289,type,
    finite6177210948735845034at_nat: fun_se8074476271188067385t_bool ).

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

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

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

tff(func_def_293,type,
    bij_be8693218025023041337at_nat: ( fun_na1476630412504255114at_nat * set_nat ) > fun_se8074476271188067385t_bool ).

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

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

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_bool: fun_bool_bool ).

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_bool: fun_fu3889889255038636099t_bool ).

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

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

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

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

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

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

tff(func_def_313,type,
    inj_on2178005380612969504at_nat: fun_Pr2602117396471556196at_nat > fun_se8074476271188067385t_bool ).

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_fu7981381284939422625t_bool: ( fun_Code_integer_int * fun_fu3889889255038636099t_bool * fun_int_fun_nat_bool ) > fun_Co8657364630979331932t_bool ).

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_fu2099429406741865360t_bool: ( fun_Code_natural_nat * fun_fu3889889255038636099t_bool * fun_nat_fun_nat_bool ) > fun_Co6299454908631939665t_bool ).

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_fu6608131713810608381l_bool: ( fun_in4514472496968388910at_nat * fun_bool_bool ) > fun_fu2868497722653781188t_bool ).

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_fu2743658913401090412t_bool: ( fun_in4514472496968388910at_nat * fun_fu2868497722653781188t_bool * fun_Pr248683899324676269t_bool ) > fun_int_fun_int_bool ).

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_fu5118516228767806217l_bool: ( fun_ra4503298312962071866nt_int * fun_bool_bool * fun_Pr803113274115125473t_bool ) > fun_rat_bool ).

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_Pr248683899324676269t_bool ).

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_Pr248683899324676269t_bool ).

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_bool ).

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_bool ).

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,
    groups7755797274146815065nteger: ( fun_bo7282069421189217543nteger * code_integer * list_bool ) > code_integer ).

tff(func_def_417,type,
    groups6579392425903532580atural: ( fun_bo2517147204845630802atural * code_natural * list_bool ) > code_natural ).

tff(func_def_418,type,
    groups4048646594741130792ol_int: ( fun_bool_int * int * list_bool ) > int ).

tff(func_def_419,type,
    groups4051137065250181068ol_nat: ( fun_bool_nat * nat * list_bool ) > 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_Co8310303586393106575r_bool ).

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

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

tff(func_def_432,type,
    nO_MAT9066612773553876470nteger: int > fun_Co8822979462182099027r_bool ).

tff(func_def_433,type,
    nO_MATCH_int_int: fun_int_fun_int_bool ).

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

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

tff(func_def_436,type,
    nO_MAT8694959213317031834nteger: nat > fun_Co8822979462182099027r_bool ).

tff(func_def_437,type,
    nO_MATCH_nat_int: fun_nat_fun_int_bool ).

tff(func_def_438,type,
    nO_MATCH_nat_nat: fun_nat_fun_nat_bool ).

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

tff(func_def_440,type,
    nO_MAT243659986023775650nteger: rat > fun_Co8822979462182099027r_bool ).

tff(func_def_441,type,
    nO_MATCH_rat_rat: fun_rat_fun_rat_bool ).

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

tff(func_def_443,type,
    the_Pr4378521158711661632nt_int: fun_Pr803113274115125473t_bool > 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_bool * 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_bool ).

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,
    if_Code_integer: ( bool * code_integer ) > fun_Co8499238673658658103nteger ).

tff(func_def_454,type,
    if_Hea2662716070787841314ap_nat: ( bool * heap_Time_Heap_nat * heap_Time_Heap_nat ) > heap_Time_Heap_nat ).

tff(func_def_455,type,
    if_int: ( bool * int ) > fun_int_int ).

tff(func_def_456,type,
    if_nat: bool > fun_nat_fun_nat_nat ).

tff(func_def_457,type,
    if_num: ( bool * num ) > fun_num_num ).

tff(func_def_458,type,
    if_Pro6119634080678213985nteger: ( bool * produc8923325533196201883nteger * produc8923325533196201883nteger ) > produc8923325533196201883nteger ).

tff(func_def_459,type,
    if_Pro3027730157355071871nt_int: ( bool * product_prod_int_int * product_prod_int_int ) > product_prod_int_int ).

tff(func_def_460,type,
    if_Pro6206227464963214023at_nat: ( bool * product_prod_nat_nat * product_prod_nat_nat ) > product_prod_nat_nat ).

tff(func_def_461,type,
    if_Sum_sum_nat_nat: ( bool * sum_sum_nat_nat * sum_sum_nat_nat ) > sum_sum_nat_nat ).

tff(func_def_462,type,
    if_fun1047364611350873841nteger: ( bool * fun_Co8499238673658658103nteger * fun_Co8499238673658658103nteger ) > fun_Co8499238673658658103nteger ).

tff(func_def_463,type,
    if_fun_int_int: ( bool * fun_int_int * fun_int_int ) > fun_int_int ).

tff(func_def_464,type,
    abs_Integ: fun_Pr7647638413817135296at_int ).

tff(func_def_465,type,
    neg: fun_num_int ).

tff(func_def_466,type,
    pos: fun_num_int ).

tff(func_def_467,type,
    rep_Integ: fun_in4514472496968388910at_nat ).

tff(func_def_468,type,
    cr_int: fun_Pr5932607294251420486t_bool ).

tff(func_def_469,type,
    dup: fun_int_int ).

tff(func_def_470,type,
    abs_int: fun_se9142667792015812128at_int ).

tff(func_def_471,type,
    rep_int: fun_in8804710076054006414at_nat ).

tff(func_def_472,type,
    int_ge_less_than: int > set_Pr958786334691620121nt_int ).

tff(func_def_473,type,
    int_ge_less_than2: int > set_Pr958786334691620121nt_int ).

tff(func_def_474,type,
    intrel: fun_Pr248683899324676269t_bool ).

tff(func_def_475,type,
    nat2: fun_int_nat ).

tff(func_def_476,type,
    pcr_int: fun_Pr5932607294251420486t_bool ).

tff(func_def_477,type,
    ring_11222124179247155820nteger: set_Code_integer ).

tff(func_def_478,type,
    ring_1_Ints_int: set_int ).

tff(func_def_479,type,
    ring_1_Ints_rat: set_rat ).

tff(func_def_480,type,
    ring_18347121197199848620nteger: fun_int_Code_integer ).

tff(func_def_481,type,
    ring_1_of_int_int: fun_int_int ).

tff(func_def_482,type,
    ring_1_of_int_rat: fun_int_rat ).

tff(func_def_483,type,
    sub: num > fun_num_int ).

tff(func_def_484,type,
    inf_inf_int: fun_int_fun_int_int ).

tff(func_def_485,type,
    inf_inf_nat: fun_nat_fun_nat_nat ).

tff(func_def_486,type,
    inf_in2572325071724192079at_nat: ( set_Pr1261947904930325089at_nat * set_Pr1261947904930325089at_nat ) > set_Pr1261947904930325089at_nat ).

tff(func_def_487,type,
    semila9081495762789891438tr_nat: fun_nat_fun_nat_nat > fun_nat_bool ).

tff(func_def_488,type,
    sup_sup_int: fun_int_fun_int_int ).

tff(func_def_489,type,
    sup_sup_nat: fun_nat_fun_nat_nat ).

tff(func_def_490,type,
    sup_sup_set_nat: ( set_nat * set_nat ) > set_nat ).

tff(func_def_491,type,
    sup_su718114333110466843at_nat: ( set_Pr8693737435421807431at_nat * set_Pr8693737435421807431at_nat ) > set_Pr8693737435421807431at_nat ).

tff(func_def_492,type,
    sup_su5525570899277871387at_nat: ( set_Pr4329608150637261639at_nat * set_Pr4329608150637261639at_nat ) > set_Pr4329608150637261639at_nat ).

tff(func_def_493,type,
    lattic8263393255366662781ax_int: set_int > int ).

tff(func_def_494,type,
    lattic8265883725875713057ax_nat: set_nat > nat ).

tff(func_def_495,type,
    lattic7826324295020591184_F_nat: ( fun_nat_fun_nat_nat * nat * set_nat ) > nat ).

tff(func_def_496,type,
    append_int: ( list_int * list_int ) > list_int ).

tff(func_def_497,type,
    append_nat: ( list_nat * list_nat ) > list_nat ).

tff(func_def_498,type,
    fold_int_int: ( fun_int_fun_int_int * list_int ) > fun_int_int ).

tff(func_def_499,type,
    fold_nat_nat: ( fun_nat_fun_nat_nat * list_nat ) > fun_nat_nat ).

tff(func_def_500,type,
    last_nat: list_nat > nat ).

tff(func_def_501,type,
    linord2614967742042102400et_nat: set_nat > list_nat ).

tff(func_def_502,type,
    cons_bool: ( bool * list_bool ) > list_bool ).

tff(func_def_503,type,
    cons_int: ( int * list_int ) > list_int ).

tff(func_def_504,type,
    cons_nat: ( nat * list_nat ) > list_nat ).

tff(func_def_505,type,
    nil_int: list_int ).

tff(func_def_506,type,
    nil_nat: list_nat ).

tff(func_def_507,type,
    hd_nat: list_nat > nat ).

tff(func_def_508,type,
    map_nat_nat: ( fun_nat_nat * list_nat ) > list_nat ).

tff(func_def_509,type,
    set_int2: list_int > set_int ).

tff(func_def_510,type,
    set_nat2: list_nat > set_nat ).

tff(func_def_511,type,
    size_list_typerep: ( fun_typerep_nat * list_typerep ) > nat ).

tff(func_def_512,type,
    tl_nat: list_nat > list_nat ).

tff(func_def_513,type,
    nth_bool: list_bool > fun_nat_bool ).

tff(func_def_514,type,
    nth_int: list_int > fun_nat_int ).

tff(func_def_515,type,
    nth_nat: list_nat > fun_nat_nat ).

tff(func_def_516,type,
    nth_Pr2856333732135533678l_bool: ( list_P2722043638750504429l_bool * nat ) > produc2804947525362035943l_bool ).

tff(func_def_517,type,
    nth_Pr7231943226834047147ol_int: ( list_P6751438739536979202ol_int * nat ) > produc5612625445546783218ol_int ).

tff(func_def_518,type,
    nth_Pr2186422209488468047ol_nat: ( list_P18149847613930150ol_nat * nat ) > produc567104428201204118ol_nat ).

tff(func_def_519,type,
    nth_Pr6495399312670224281t_bool: ( list_P6321009189627309296t_bool * nat ) > produc4876081531382960352t_bool ).

tff(func_def_520,type,
    nth_Pr4439495888332055232nt_int: ( list_P5707943133018811711nt_int * nat ) > product_prod_int_int ).

tff(func_def_521,type,
    nth_Pr8617346907841251940nt_nat: ( list_P8198026277950538467nt_nat * nat ) > product_prod_int_nat ).

tff(func_def_522,type,
    nth_Pr396318242284072693t_bool: ( list_P6781292141273955916t_bool * nat ) > produc8000372497851584572t_bool ).

tff(func_def_523,type,
    nth_Pr3440142176431000676at_int: ( list_P3521021558325789923at_int * nat ) > product_prod_nat_int ).

tff(func_def_524,type,
    nth_Pr7617993195940197384at_nat: ( list_P6011104703257516679at_nat * nat ) > product_prod_nat_nat ).

tff(func_def_525,type,
    nth_Pr6744343527793145070at_nat: ( list_P8469869581646625389at_nat * nat ) > produc859450856879609959at_nat ).

tff(func_def_526,type,
    product_bool_bool: ( list_bool * list_bool ) > list_P2722043638750504429l_bool ).

tff(func_def_527,type,
    product_bool_int: ( list_bool * list_int ) > list_P6751438739536979202ol_int ).

tff(func_def_528,type,
    product_bool_nat: ( list_bool * list_nat ) > list_P18149847613930150ol_nat ).

tff(func_def_529,type,
    product_int_bool: ( list_int * list_bool ) > list_P6321009189627309296t_bool ).

tff(func_def_530,type,
    product_int_int: ( list_int * list_int ) > list_P5707943133018811711nt_int ).

tff(func_def_531,type,
    product_int_nat: ( list_int * list_nat ) > list_P8198026277950538467nt_nat ).

tff(func_def_532,type,
    product_nat_bool: ( list_nat * list_bool ) > list_P6781292141273955916t_bool ).

tff(func_def_533,type,
    product_nat_int: ( list_nat * list_int ) > list_P3521021558325789923at_int ).

tff(func_def_534,type,
    product_nat_nat: ( list_nat * list_nat ) > list_P6011104703257516679at_nat ).

tff(func_def_535,type,
    produc3544356994491977349at_nat: ( list_P6011104703257516679at_nat * list_P6011104703257516679at_nat ) > list_P8469869581646625389at_nat ).

tff(func_def_536,type,
    rotate1_bool: list_bool > list_bool ).

tff(func_def_537,type,
    rotate1_int: list_int > list_int ).

tff(func_def_538,type,
    rotate1_nat: list_nat > list_nat ).

tff(func_def_539,type,
    rotate_bool: ( nat * list_bool ) > list_bool ).

tff(func_def_540,type,
    rotate_int: ( nat * list_int ) > list_int ).

tff(func_def_541,type,
    rotate_nat: ( nat * list_nat ) > list_nat ).

tff(func_def_542,type,
    sorted_wrt_int: fun_int_fun_int_bool > fun_list_int_bool ).

tff(func_def_543,type,
    sorted_wrt_nat: fun_nat_fun_nat_bool > fun_list_nat_bool ).

tff(func_def_544,type,
    take_nat: ( nat * list_nat ) > list_nat ).

tff(func_def_545,type,
    upt: ( nat * nat ) > list_nat ).

tff(func_def_546,type,
    upto: ( int * int ) > list_int ).

tff(func_def_547,type,
    upto_aux: ( int * int * list_int ) > list_int ).

tff(func_def_548,type,
    upto_rel: fun_Pr3099820731930151597t_bool ).

tff(func_def_549,type,
    zip_bool_bool: ( list_bool * list_bool ) > list_P2722043638750504429l_bool ).

tff(func_def_550,type,
    zip_bool_int: ( list_bool * list_int ) > list_P6751438739536979202ol_int ).

tff(func_def_551,type,
    zip_bool_nat: ( list_bool * list_nat ) > list_P18149847613930150ol_nat ).

tff(func_def_552,type,
    zip_int_bool: ( list_int * list_bool ) > list_P6321009189627309296t_bool ).

tff(func_def_553,type,
    zip_int_int: ( list_int * list_int ) > list_P5707943133018811711nt_int ).

tff(func_def_554,type,
    zip_int_nat: ( list_int * list_nat ) > list_P8198026277950538467nt_nat ).

tff(func_def_555,type,
    zip_nat_bool: ( list_nat * list_bool ) > list_P6781292141273955916t_bool ).

tff(func_def_556,type,
    zip_nat_int: ( list_nat * list_int ) > list_P3521021558325789923at_int ).

tff(func_def_557,type,
    zip_nat_nat: ( list_nat * list_nat ) > list_P6011104703257516679at_nat ).

tff(func_def_558,type,
    zip_Pr4664179122662387191at_nat: ( list_P6011104703257516679at_nat * list_P6011104703257516679at_nat ) > list_P8469869581646625389at_nat ).

tff(func_def_559,type,
    suc: fun_nat_nat ).

tff(func_def_560,type,
    compow_fun_nat_nat: ( nat * fun_nat_nat ) > fun_nat_nat ).

tff(func_def_561,type,
    case_nat_bool: ( bool * fun_nat_bool ) > fun_nat_bool ).

tff(func_def_562,type,
    case_nat_nat: ( nat * fun_nat_nat ) > fun_nat_nat ).

tff(func_def_563,type,
    pred: fun_nat_nat ).

tff(func_def_564,type,
    semiring_1_Nats_int: set_int ).

tff(func_def_565,type,
    semiri4939895301339042750nteger: fun_nat_Code_integer ).

tff(func_def_566,type,
    semiri3763490453095760265atural: fun_nat_Code_natural ).

tff(func_def_567,type,
    semiri1314217659103216013at_int: fun_nat_int ).

tff(func_def_568,type,
    semiri1316708129612266289at_nat: fun_nat_nat ).

tff(func_def_569,type,
    semiri681578069525770553at_rat: fun_nat_rat ).

tff(func_def_570,type,
    size_size_list_bool: list_bool > nat ).

tff(func_def_571,type,
    size_size_list_int: list_int > nat ).

tff(func_def_572,type,
    size_size_list_nat: list_nat > nat ).

tff(func_def_573,type,
    size_s6988337448923680857l_bool: list_P2722043638750504429l_bool > nat ).

tff(func_def_574,type,
    size_s753689718144262038ol_int: list_P6751438739536979202ol_int > nat ).

tff(func_def_575,type,
    size_s3243772863075988794ol_nat: list_P18149847613930150ol_nat > nat ).

tff(func_def_576,type,
    size_s323260168234592132t_bool: list_P6321009189627309296t_bool > nat ).

tff(func_def_577,type,
    size_s5157815400016825771nt_int: list_P5707943133018811711nt_int > nat ).

tff(func_def_578,type,
    size_s7647898544948552527nt_nat: list_P8198026277950538467nt_nat > nat ).

tff(func_def_579,type,
    size_s783543119881238752t_bool: list_P6781292141273955916t_bool > nat ).

tff(func_def_580,type,
    size_s2970893825323803983at_int: list_P3521021558325789923at_int > nat ).

tff(func_def_581,type,
    size_s5460976970255530739at_nat: list_P6011104703257516679at_nat > nat ).

tff(func_def_582,type,
    size_size_list_a: list_a > nat ).

tff(func_def_583,type,
    size_size_num: fun_num_nat ).

tff(func_def_584,type,
    size_size_char: char > nat ).

tff(func_def_585,type,
    size_size_typerep: fun_typerep_nat ).

tff(func_def_586,type,
    nat_int_decode: fun_nat_int ).

tff(func_def_587,type,
    nat_int_encode: fun_int_nat ).

tff(func_def_588,type,
    nat_list_decode: fun_nat_list_nat ).

tff(func_def_589,type,
    nat_list_decode_rel: fun_nat_fun_nat_bool ).

tff(func_def_590,type,
    nat_list_encode: fun_list_nat_nat ).

tff(func_def_591,type,
    nat_list_encode_rel: fun_li8598321315282354825t_bool ).

tff(func_def_592,type,
    nat_prod_decode: fun_na1476630412504255114at_nat ).

tff(func_def_593,type,
    nat_prod_decode_aux: nat > fun_na1476630412504255114at_nat ).

tff(func_def_594,type,
    nat_pr5047031295181774490ux_rel: fun_Pr248683899324676269t_bool ).

tff(func_def_595,type,
    nat_prod_encode: fun_Pr2602117396471556196at_nat ).

tff(func_def_596,type,
    nat_set_decode: fun_nat_set_nat ).

tff(func_def_597,type,
    nat_set_encode: fun_set_nat_nat ).

tff(func_def_598,type,
    nat_sum_decode: fun_na3635074868517587788at_nat ).

tff(func_def_599,type,
    nat_sum_encode: fun_Su884838341992399436at_nat ).

tff(func_def_600,type,
    nat_triangle: fun_nat_nat ).

tff(func_def_601,type,
    bitM: fun_num_num ).

tff(func_def_602,type,
    inc: fun_num_num ).

tff(func_def_603,type,
    nat_of_num: fun_num_nat ).

tff(func_def_604,type,
    neg_nu8804712462038260780nteger: fun_Co8499238673658658103nteger ).

tff(func_def_605,type,
    neg_numeral_dbl_int: fun_int_int ).

tff(func_def_606,type,
    neg_numeral_dbl_rat: fun_rat_rat ).

tff(func_def_607,type,
    neg_nu7757733837767384882nteger: fun_Co8499238673658658103nteger ).

tff(func_def_608,type,
    neg_nu3811975205180677377ec_int: fun_int_int ).

tff(func_def_609,type,
    neg_nu3179335615603231917ec_rat: fun_rat_rat ).

tff(func_def_610,type,
    neg_nu5831290666863070958nteger: fun_Co8499238673658658103nteger ).

tff(func_def_611,type,
    neg_nu5851722552734809277nc_int: fun_int_int ).

tff(func_def_612,type,
    neg_nu5219082963157363817nc_rat: fun_rat_rat ).

tff(func_def_613,type,
    neg_nu5755505904847501662nteger: num > fun_num_Code_integer ).

tff(func_def_614,type,
    neg_numeral_sub_int: num > fun_num_int ).

tff(func_def_615,type,
    neg_numeral_sub_rat: num > fun_num_rat ).

tff(func_def_616,type,
    bit0: fun_num_num ).

tff(func_def_617,type,
    bit1: fun_num_num ).

tff(func_def_618,type,
    one: num ).

tff(func_def_619,type,
    size_num: fun_num_nat ).

tff(func_def_620,type,
    num_of_nat: fun_nat_num ).

tff(func_def_621,type,
    numera6620942414471956472nteger: fun_num_Code_integer ).

tff(func_def_622,type,
    numera5444537566228673987atural: num > code_natural ).

tff(func_def_623,type,
    numeral_numeral_int: fun_num_int ).

tff(func_def_624,type,
    numeral_numeral_nat: fun_num_nat ).

tff(func_def_625,type,
    numeral_numeral_rat: fun_num_rat ).

tff(func_def_626,type,
    pow: num > fun_num_num ).

tff(func_def_627,type,
    pred_numeral: fun_num_nat ).

tff(func_def_628,type,
    ring_16219924574208605041nteger: fun_Co8822979462182099027r_bool ).

tff(func_def_629,type,
    ring_1_iszero_int: fun_int_bool ).

tff(func_def_630,type,
    ring_1_iszero_rat: fun_rat_bool ).

tff(func_def_631,type,
    sqr: fun_num_num ).

tff(func_def_632,type,
    none_num: option_num ).

tff(func_def_633,type,
    some_num: num > option_num ).

tff(func_def_634,type,
    some_P1914260805536162275it_nat: produc8664842809031399944it_nat > option8956607266484857688it_nat ).

tff(func_def_635,type,
    case_option_int_num: ( int * fun_num_int * option_num ) > int ).

tff(func_def_636,type,
    case_option_num_num: ( num * fun_num_num * option_num ) > num ).

tff(func_def_637,type,
    case_o6005452278849405969um_num: ( option_num * fun_num_option_num * option_num ) > option_num ).

tff(func_def_638,type,
    order_underS_nat: set_Pr1261947904930325089at_nat > fun_nat_set_nat ).

tff(func_def_639,type,
    order_2888998067076097458on_nat: set_nat > fun_se8074476271188067385t_bool ).

tff(func_def_640,type,
    bot_bot_nat: nat ).

tff(func_def_641,type,
    bot_bo3990330152332043303nteger: set_Code_integer ).

tff(func_def_642,type,
    bot_bot_set_int: set_int ).

tff(func_def_643,type,
    bot_bot_set_list_nat: set_list_nat ).

tff(func_def_644,type,
    bot_bot_set_nat: set_nat ).

tff(func_def_645,type,
    bot_bot_set_num: set_num ).

tff(func_def_646,type,
    bot_bo2099793752762293965at_nat: set_Pr1261947904930325089at_nat ).

tff(func_def_647,type,
    bot_bo228742789529271731at_nat: set_Pr4329608150637261639at_nat ).

tff(func_def_648,type,
    bot_bo3957492148770167129t_unit: set_Product_unit ).

tff(func_def_649,type,
    bot_bot_set_rat: set_rat ).

tff(func_def_650,type,
    bot_bot_set_set_nat: set_set_nat ).

tff(func_def_651,type,
    bot_bo3083307316010499117at_nat: set_se7855581050983116737at_nat ).

tff(func_def_652,type,
    bot_bot_fun_nat_bool: fun_nat_bool ).

tff(func_def_653,type,
    ord_Least_nat: fun_nat_bool > nat ).

tff(func_def_654,type,
    ord_le6747313008572928689nteger: fun_Co8310303586393106575r_bool ).

tff(func_def_655,type,
    ord_le5570908160329646204atural: fun_Co9170264581657726457l_bool ).

tff(func_def_656,type,
    ord_less_int: fun_int_fun_int_bool ).

tff(func_def_657,type,
    ord_less_nat: fun_nat_fun_nat_bool ).

tff(func_def_658,type,
    ord_less_num: fun_num_fun_num_bool ).

tff(func_def_659,type,
    ord_less_rat: fun_rat_fun_rat_bool ).

tff(func_def_660,type,
    ord_less_set_nat: set_nat > fun_set_nat_bool ).

tff(func_def_661,type,
    ord_le7866589430770878221at_nat: set_Pr1261947904930325089at_nat > fun_se8074476271188067385t_bool ).

tff(func_def_662,type,
    ord_le3102999989581377725nteger: fun_Co8310303586393106575r_bool ).

tff(func_def_663,type,
    ord_le1926595141338095240atural: fun_Co9170264581657726457l_bool ).

tff(func_def_664,type,
    ord_less_eq_int: fun_int_fun_int_bool ).

tff(func_def_665,type,
    ord_less_eq_nat: fun_nat_fun_nat_bool ).

tff(func_def_666,type,
    ord_less_eq_num: fun_num_fun_num_bool ).

tff(func_def_667,type,
    ord_less_eq_rat: fun_rat_fun_rat_bool ).

tff(func_def_668,type,
    ord_less_eq_set_nat: set_nat > fun_set_nat_bool ).

tff(func_def_669,type,
    ord_le3146513528884898305at_nat: set_Pr1261947904930325089at_nat > fun_se8074476271188067385t_bool ).

tff(func_def_670,type,
    ord_max_Code_integer: code_integer > fun_Co8499238673658658103nteger ).

tff(func_def_671,type,
    ord_max_Code_natural: ( code_natural * code_natural ) > code_natural ).

tff(func_def_672,type,
    ord_max_int: fun_int_fun_int_int ).

tff(func_def_673,type,
    ord_max_nat: fun_nat_fun_nat_nat ).

tff(func_def_674,type,
    ord_max_num: num > fun_num_num ).

tff(func_def_675,type,
    ord_max_rat: rat > fun_rat_rat ).

tff(func_def_676,type,
    ord_max_set_int: ( set_int * set_int ) > set_int ).

tff(func_def_677,type,
    ord_max_set_nat: ( set_nat * set_nat ) > set_nat ).

tff(func_def_678,type,
    ord_ma7524802468073614006at_nat: ( set_Pr1261947904930325089at_nat * set_Pr1261947904930325089at_nat ) > set_Pr1261947904930325089at_nat ).

tff(func_def_679,type,
    ord_ma6735246370732646428at_nat: ( set_Pr4329608150637261639at_nat * set_Pr4329608150637261639at_nat ) > set_Pr4329608150637261639at_nat ).

tff(func_def_680,type,
    ord_min_Code_integer: code_integer > fun_Co8499238673658658103nteger ).

tff(func_def_681,type,
    ord_min_Code_natural: ( code_natural * code_natural ) > code_natural ).

tff(func_def_682,type,
    ord_min_int: fun_int_fun_int_int ).

tff(func_def_683,type,
    ord_min_nat: fun_nat_fun_nat_nat ).

tff(func_def_684,type,
    ord_min_num: num > fun_num_num ).

tff(func_def_685,type,
    ord_min_rat: rat > fun_rat_rat ).

tff(func_def_686,type,
    ord_min_set_int: ( set_int * set_int ) > set_int ).

tff(func_def_687,type,
    ord_min_set_nat: ( set_nat * set_nat ) > set_nat ).

tff(func_def_688,type,
    ord_mi4194197829855655752at_nat: ( set_Pr1261947904930325089at_nat * set_Pr1261947904930325089at_nat ) > set_Pr1261947904930325089at_nat ).

tff(func_def_689,type,
    ord_mi6693596345299712430at_nat: ( set_Pr4329608150637261639at_nat * set_Pr4329608150637261639at_nat ) > set_Pr4329608150637261639at_nat ).

tff(func_def_690,type,
    order_Greatest_nat: fun_nat_bool > nat ).

tff(func_def_691,type,
    ordering_top_nat: ( fun_nat_fun_nat_bool * fun_nat_fun_nat_bool ) > fun_nat_bool ).

tff(func_def_692,type,
    top_top_set_int: set_int ).

tff(func_def_693,type,
    top_top_set_list_nat: set_list_nat ).

tff(func_def_694,type,
    top_top_set_nat: set_nat ).

tff(func_def_695,type,
    top_to4669805908274784177at_nat: set_Pr1261947904930325089at_nat ).

tff(func_def_696,type,
    top_to1996260823553986621t_unit: set_Product_unit ).

tff(func_def_697,type,
    top_top_set_char: set_char ).

tff(func_def_698,type,
    top_to6661820994512907621at_nat: set_Sum_sum_nat_nat ).

tff(func_def_699,type,
    power_8256067586552552935nteger: code_integer > fun_nat_Code_integer ).

tff(func_def_700,type,
    power_7079662738309270450atural: ( code_natural * nat ) > code_natural ).

tff(func_def_701,type,
    power_power_int: int > fun_nat_int ).

tff(func_def_702,type,
    power_power_nat: fun_nat_fun_nat_nat ).

tff(func_def_703,type,
    power_power_rat: rat > fun_nat_rat ).

tff(func_def_704,type,
    produc1086072967326762835nteger: ( code_integer * code_integer ) > produc8923325533196201883nteger ).

tff(func_def_705,type,
    produc5135875973608410785r_bool: ( code_integer * bool ) > produc7417142470700560111r_bool ).

tff(func_def_706,type,
    produc3574140220909816553atural: ( code_natural * code_natural ) > produc7822875418678951345atural ).

tff(func_def_707,type,
    produc8297744024737662807l_bool: ( bool * bool ) > produc2804947525362035943l_bool ).

tff(func_def_708,type,
    produc8871513391732212460ol_int: ( bool * int ) > produc5612625445546783218ol_int ).

tff(func_def_709,type,
    produc8874003862241262736ol_nat: ( bool * nat ) > produc567104428201204118ol_nat ).

tff(func_def_710,type,
    produc584006145561248582it_nat: ( heap_e7401611519738050253t_unit * nat ) > produc6653097349344004940it_nat ).

tff(func_def_711,type,
    produc788913908665201810t_bool: ( int * bool ) > produc4876081531382960352t_bool ).

tff(func_def_712,type,
    product_Pair_int_int: int > fun_in4211310926729683942nt_int ).

tff(func_def_713,type,
    product_Pair_int_nat: ( int * nat ) > product_prod_int_nat ).

tff(func_def_714,type,
    produc3913204875133826030t_bool: ( nat * bool ) > produc8000372497851584572t_bool ).

tff(func_def_715,type,
    product_Pair_nat_int: ( nat * int ) > product_prod_nat_int ).

tff(func_def_716,type,
    product_Pair_nat_nat: nat > fun_na1476630412504255114at_nat ).

tff(func_def_717,type,
    produc6161850002892822231at_nat: ( product_prod_nat_nat * product_prod_nat_nat ) > produc859450856879609959at_nat ).

tff(func_def_718,type,
    produc7133225469290080770it_nat: ( product_unit * produc6653097349344004940it_nat ) > produc8664842809031399944it_nat ).

tff(func_def_719,type,
    produc2922128104949294807at_nat: ( set_Pr1261947904930325089at_nat * set_Pr1261947904930325089at_nat ) > produc3843707927480180839at_nat ).

tff(func_def_720,type,
    produc9060074326276436823at_nat: ( set_Pr4329608150637261639at_nat * set_Pr4329608150637261639at_nat ) > produc1319942482725812455at_nat ).

tff(func_def_721,type,
    produc457027306803732586at_nat: ( set_nat * fun_nat_set_nat ) > set_Pr1261947904930325089at_nat ).

tff(func_def_722,type,
    product_Unity: product_unit ).

tff(func_def_723,type,
    produc6499014454317279255nteger: fun_fu4800041728187187127nteger ).

tff(func_def_724,type,
    produc1553301316500091796er_int: ( fun_Co1092983284983208416er_int * produc8923325533196201883nteger ) > int ).

tff(func_def_725,type,
    produc1555791787009142072er_nat: ( fun_Co3583066429914935172er_nat * produc8923325533196201883nteger ) > nat ).

tff(func_def_726,type,
    produc7336495610019696514er_num: ( fun_Co8521658056209057742er_num * produc8923325533196201883nteger ) > num ).

tff(func_def_727,type,
    produc6916734918728496179nteger: ( fun_Co2470855966376689427nteger * produc8923325533196201883nteger ) > produc8923325533196201883nteger ).

tff(func_def_728,type,
    produc6117575242473779287r_bool: ( fun_Co3025358997185726883r_bool * produc8923325533196201883nteger ) > produc7417142470700560111r_bool ).

tff(func_def_729,type,
    produc8560705615207772305t_bool: fun_int_fun_int_bool > fun_Pr803113274115125473t_bool ).

tff(func_def_730,type,
    produc8211389475949308722nt_int: ( fun_int_fun_int_int * product_prod_int_int ) > int ).

tff(func_def_731,type,
    produc4245557441103728435nt_int: ( fun_in1696471567231710611nt_int * product_prod_int_int ) > product_prod_int_int ).

tff(func_def_732,type,
    produc8955392012077580105t_bool: fun_nat_fun_nat_bool > fun_Pr7757163693017731481t_bool ).

tff(func_def_733,type,
    produc2761476792215241774st_nat: ( fun_na819858167508000762st_nat * product_prod_nat_nat ) > list_nat ).

tff(func_def_734,type,
    produc6842872674320459806at_nat: fun_nat_fun_nat_nat > fun_Pr2602117396471556196at_nat ).

tff(func_def_735,type,
    produc2626176000494625587at_nat: fun_na4138050610385705875at_nat > fun_Pr2118491707810114563at_nat ).

tff(func_def_736,type,
    produc5023667602222594023t_bool: fun_na4786964484885125043t_bool > fun_Pr248683899324676269t_bool ).

tff(func_def_737,type,
    produc4528391901023682385at_nat: fun_na1668100129766719005at_nat > fun_Pr2477239776880934807at_nat ).

tff(func_def_738,type,
    produc8508995932063986495nteger: produc8923325533196201883nteger > code_integer ).

tff(func_def_739,type,
    produc497848011034438852atural: produc5835291356934675326atural > code_natural ).

tff(func_def_740,type,
    product_fst_int_int: product_prod_int_int > int ).

tff(func_def_741,type,
    product_fst_nat_nat: product_prod_nat_nat > nat ).

tff(func_def_742,type,
    produc6174133586879617921nteger: produc8923325533196201883nteger > code_integer ).

tff(func_def_743,type,
    product_snd_int_int: product_prod_int_int > int ).

tff(func_def_744,type,
    product_snd_nat_nat: product_prod_nat_nat > nat ).

tff(func_def_745,type,
    quot_a8334514980957697477at_int: ( fun_Pr248683899324676269t_bool * fun_se9142667792015812128at_int ) > fun_Pr7647638413817135296at_int ).

tff(func_def_746,type,
    quot_r1512469584000298464at_nat: fun_in8804710076054006414at_nat > fun_in4514472496968388910at_nat ).

tff(func_def_747,type,
    log: ( code_natural * code_natural ) > code_natural ).

tff(func_def_748,type,
    log_rel: fun_Pr4637083014979798189l_bool ).

tff(func_def_749,type,
    minus_shift: ( code_natural * code_natural * code_natural ) > code_natural ).

tff(func_def_750,type,
    range: ( code_natural * produc7822875418678951345atural ) > produc5835291356934675326atural ).

tff(func_def_751,type,
    abs_Rat: fun_Pr1652463973008025892nt_rat ).

tff(func_def_752,type,
    fract: fun_int_fun_int_rat ).

tff(func_def_753,type,
    frct: product_prod_int_int > rat ).

tff(func_def_754,type,
    rep_Rat: fun_ra4503298312962071866nt_int ).

tff(func_def_755,type,
    normalize: product_prod_int_int > product_prod_int_int ).

tff(func_def_756,type,
    of_int: fun_int_rat ).

tff(func_def_757,type,
    pcr_rat: fun_Pr3145601080792579042t_bool ).

tff(func_def_758,type,
    positive: fun_rat_bool ).

tff(func_def_759,type,
    quotient_of: rat > product_prod_int_int ).

tff(func_def_760,type,
    ratrel: fun_Pr3099820731930151597t_bool ).

tff(func_def_761,type,
    domain452967906960104687nteger: fun_in5519481650651148416r_bool > fun_int_bool ).

tff(func_def_762,type,
    domainp_int_int: fun_int_fun_int_bool > fun_int_bool ).

tff(func_def_763,type,
    domain8128281535334753374atural: fun_na7327111457444404817l_bool > fun_nat_bool ).

tff(func_def_764,type,
    domainp_nat_nat: fun_nat_fun_nat_bool > fun_nat_bool ).

tff(func_def_765,type,
    domain7287725470393535433at_int: fun_Pr5932607294251420486t_bool > fun_Pr7757163693017731481t_bool ).

tff(func_def_766,type,
    field_nat: set_Pr1261947904930325089at_nat > set_nat ).

tff(func_def_767,type,
    id_Pro2258643101195443293at_nat: set_Pr8693737435421807431at_nat ).

tff(func_def_768,type,
    algebr932160517623751201me_int: fun_int_fun_int_bool ).

tff(func_def_769,type,
    algebr934650988132801477me_nat: fun_nat_fun_nat_bool ).

tff(func_def_770,type,
    divide6298287555418463151nteger: fun_Co1981900195452921617nteger ).

tff(func_def_771,type,
    divide5121882707175180666atural: fun_Co6813818151677833714atural ).

tff(func_def_772,type,
    divide_divide_int: fun_int_fun_int_int ).

tff(func_def_773,type,
    divide_divide_nat: fun_nat_fun_nat_nat ).

tff(func_def_774,type,
    divide_divide_rat: rat > fun_rat_rat ).

tff(func_def_775,type,
    dvd_dvd_Code_integer: fun_Co8310303586393106575r_bool ).

tff(func_def_776,type,
    dvd_dvd_Code_natural: code_natural > fun_Co7175331531449502024l_bool ).

tff(func_def_777,type,
    dvd_dvd_int: fun_int_fun_int_bool ).

tff(func_def_778,type,
    dvd_dvd_nat: fun_nat_fun_nat_bool ).

tff(func_def_779,type,
    dvd_dvd_rat: fun_rat_fun_rat_bool ).

tff(func_def_780,type,
    modulo364778990260209775nteger: fun_Co1981900195452921617nteger ).

tff(func_def_781,type,
    modulo8411746178871703098atural: fun_Co6813818151677833714atural ).

tff(func_def_782,type,
    modulo_modulo_int: fun_int_fun_int_int ).

tff(func_def_783,type,
    modulo_modulo_nat: fun_nat_fun_nat_nat ).

tff(func_def_784,type,
    normal571682499473568032ze_int: fun_int_int ).

tff(func_def_785,type,
    normal574172969982618308ze_nat: fun_nat_nat ).

tff(func_def_786,type,
    unit_f2746056213392204926or_int: fun_int_int ).

tff(func_def_787,type,
    unit_f2748546683901255202or_nat: fun_nat_nat ).

tff(func_def_788,type,
    zero_n356916108424825756nteger: fun_bo7282069421189217543nteger ).

tff(func_def_789,type,
    zero_n8403883297036319079atural: fun_bo2517147204845630802atural ).

tff(func_def_790,type,
    zero_n2684676970156552555ol_int: fun_bool_int ).

tff(func_def_791,type,
    zero_n2687167440665602831ol_nat: fun_bool_nat ).

tff(func_def_792,type,
    zero_n2052037380579107095ol_rat: bool > rat ).

tff(func_def_793,type,
    collect_int: fun_int_bool > set_int ).

tff(func_def_794,type,
    collect_list_nat: fun_list_nat_bool > set_list_nat ).

tff(func_def_795,type,
    collect_nat: fun_nat_bool > set_nat ).

tff(func_def_796,type,
    collec213857154873943460nt_int: fun_Pr803113274115125473t_bool > set_Pr958786334691620121nt_int ).

tff(func_def_797,type,
    collec3392354462482085612at_nat: fun_Pr7757163693017731481t_bool > set_Pr1261947904930325089at_nat ).

tff(func_def_798,type,
    collect_set_nat: fun_set_nat_bool > set_set_nat ).

tff(func_def_799,type,
    collec5514110066124741708at_nat: fun_se8074476271188067385t_bool > set_se7855581050983116737at_nat ).

tff(func_def_800,type,
    pow_nat: set_nat > set_set_nat ).

tff(func_def_801,type,
    image_int_int: ( fun_int_int * set_int ) > set_int ).

tff(func_def_802,type,
    image_int_nat: ( fun_int_nat * set_int ) > set_nat ).

tff(func_def_803,type,
    image_list_nat_nat: ( fun_list_nat_nat * set_list_nat ) > set_nat ).

tff(func_def_804,type,
    image_nat_int: ( fun_nat_int * set_nat ) > set_int ).

tff(func_def_805,type,
    image_nat_list_nat: ( fun_nat_list_nat * set_nat ) > set_list_nat ).

tff(func_def_806,type,
    image_nat_nat: ( fun_nat_nat * set_nat ) > set_nat ).

tff(func_def_807,type,
    image_5846123807819985514at_nat: ( fun_na1476630412504255114at_nat * set_nat ) > set_Pr1261947904930325089at_nat ).

tff(func_def_808,type,
    image_nat_set_nat: ( fun_nat_set_nat * set_nat ) > set_set_nat ).

tff(func_def_809,type,
    image_nat_char: ( fun_nat_char * set_nat ) > set_char ).

tff(func_def_810,type,
    image_678696785212003926at_nat: ( fun_na3635074868517587788at_nat * set_nat ) > set_Sum_sum_nat_nat ).

tff(func_def_811,type,
    image_2486076414777270412at_nat: ( fun_Pr2602117396471556196at_nat * set_Pr1261947904930325089at_nat ) > set_nat ).

tff(func_def_812,type,
    image_char_nat: ( fun_char_nat * set_char ) > set_nat ).

tff(func_def_813,type,
    image_1320371278474632150at_nat: ( fun_Su884838341992399436at_nat * set_Sum_sum_nat_nat ) > set_nat ).

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

tff(func_def_815,type,
    insert_list_nat: ( list_nat * set_list_nat ) > set_list_nat ).

tff(func_def_816,type,
    insert_nat: ( nat * set_nat ) > set_nat ).

tff(func_def_817,type,
    insert8211810215607154385at_nat: ( product_prod_nat_nat * set_Pr1261947904930325089at_nat ) > set_Pr1261947904930325089at_nat ).

tff(func_def_818,type,
    insert9069300056098147895at_nat: ( produc3843707927480180839at_nat * set_Pr4329608150637261639at_nat ) > set_Pr4329608150637261639at_nat ).

tff(func_def_819,type,
    insert_Product_unit: ( product_unit * set_Product_unit ) > set_Product_unit ).

tff(func_def_820,type,
    insert_set_nat: ( set_nat * set_set_nat ) > set_set_nat ).

tff(func_def_821,type,
    insert9200635055090092081at_nat: ( set_Pr1261947904930325089at_nat * set_se7855581050983116737at_nat ) > set_se7855581050983116737at_nat ).

tff(func_def_822,type,
    vimage_nat_nat: ( fun_nat_nat * set_nat ) > set_nat ).

tff(func_def_823,type,
    set_fo2584398358068434914at_nat: ( fun_nat_fun_nat_nat * nat ) > fun_nat_fun_nat_nat ).

tff(func_def_824,type,
    set_or189985376899183464nteger: ( code_integer * code_integer ) > set_Code_integer ).

tff(func_def_825,type,
    set_or1266510415728281911st_int: ( int * int ) > set_int ).

tff(func_def_826,type,
    set_or1269000886237332187st_nat: nat > fun_nat_set_nat ).

tff(func_def_827,type,
    set_or7049704709247886629st_num: ( num * num ) > set_num ).

tff(func_def_828,type,
    set_or633870826150836451st_rat: ( rat * rat ) > set_rat ).

tff(func_def_829,type,
    set_or4548717258645045905et_nat: ( set_nat * set_nat ) > set_set_nat ).

tff(func_def_830,type,
    set_or2784603332384507286at_nat: ( set_Pr1261947904930325089at_nat * set_Pr1261947904930325089at_nat ) > set_se7855581050983116737at_nat ).

tff(func_def_831,type,
    set_or4662586982721622107an_int: ( int * int ) > set_int ).

tff(func_def_832,type,
    set_or4665077453230672383an_nat: nat > fun_nat_set_nat ).

tff(func_def_833,type,
    set_ord_atLeast_nat: fun_nat_set_nat ).

tff(func_def_834,type,
    set_ord_atMost_nat: fun_nat_set_nat ).

tff(func_def_835,type,
    set_or6656581121297822940st_int: ( int * int ) > set_int ).

tff(func_def_836,type,
    set_or6659071591806873216st_nat: nat > fun_nat_set_nat ).

tff(func_def_837,type,
    set_or5832277885323065728an_int: ( int * int ) > set_int ).

tff(func_def_838,type,
    set_or5834768355832116004an_nat: nat > fun_nat_set_nat ).

tff(func_def_839,type,
    set_or1210151606488870762an_nat: fun_nat_set_nat ).

tff(func_def_840,type,
    set_ord_lessThan_nat: fun_nat_set_nat ).

tff(func_def_841,type,
    char2: ( bool * bool * bool * bool * bool * bool * bool * bool ) > char ).

tff(func_def_842,type,
    size_char: char > nat ).

tff(func_def_843,type,
    comm_s629917340098488124ar_nat: fun_char_nat ).

tff(func_def_844,type,
    unique3096191561947761185of_nat: fun_nat_char ).

tff(func_def_845,type,
    sum_Inl_nat_nat: nat > sum_sum_nat_nat ).

tff(func_def_846,type,
    sum_Inr_nat_nat: nat > sum_sum_nat_nat ).

tff(func_def_847,type,
    sum_ca7763040182479039464nt_nat: ( fun_nat_int * fun_nat_int * sum_sum_nat_nat ) > int ).

tff(func_def_848,type,
    sum_ca6763686470577984908at_nat: ( fun_nat_nat * fun_nat_nat * sum_sum_nat_nat ) > nat ).

tff(func_def_849,type,
    transi2905341329935302413cl_nat: set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat ).

tff(func_def_850,type,
    transi6264000038957366511cl_nat: set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat ).

tff(func_def_851,type,
    transi2163837189807498211lp_nat: fun_nat_fun_nat_bool > fun_nat_fun_nat_bool ).

tff(func_def_852,type,
    type_d4410041424927559462al_nat: ( fun_Code_natural_nat * fun_nat_Code_natural ) > fun_set_nat_bool ).

tff(func_def_853,type,
    typerep2: ( literal * list_typerep ) > typerep ).

tff(func_def_854,type,
    size_typerep: fun_typerep_nat ).

tff(func_def_855,type,
    accp_list_nat: fun_li8598321315282354825t_bool > fun_list_nat_bool ).

tff(func_def_856,type,
    accp_nat: fun_nat_fun_nat_bool > fun_nat_bool ).

tff(func_def_857,type,
    accp_P4275260045618599050at_nat: fun_Pr248683899324676269t_bool > fun_Pr7757163693017731481t_bool ).

tff(func_def_858,type,
    less_than: set_Pr1261947904930325089at_nat ).

tff(func_def_859,type,
    lex_prod_nat_nat: ( set_Pr1261947904930325089at_nat * set_Pr1261947904930325089at_nat ) > set_Pr8693737435421807431at_nat ).

tff(func_def_860,type,
    max_ex8135407076693332796at_nat: set_Pr8693737435421807431at_nat > set_Pr4329608150637261639at_nat ).

tff(func_def_861,type,
    min_ex6901939911449802026at_nat: set_Pr8693737435421807431at_nat > set_Pr4329608150637261639at_nat ).

tff(func_def_862,type,
    pred_nat: set_Pr1261947904930325089at_nat ).

tff(func_def_863,type,
    wf_nat: fun_se8074476271188067385t_bool ).

tff(func_def_864,type,
    aa_Cod1783974652533396728nteger: ( fun_Co8499238673658658103nteger * code_integer ) > code_integer ).

tff(func_def_865,type,
    aa_Cod607569804290114243atural: ( fun_Co3734316457315071362atural * code_integer ) > code_natural ).

tff(func_def_866,type,
    aa_Code_integer_bool: ( fun_Co8822979462182099027r_bool * code_integer ) > bool ).

tff(func_def_867,type,
    aa_Code_integer_int: ( fun_Code_integer_int * code_integer ) > int ).

tff(func_def_868,type,
    aa_Code_integer_nat: ( fun_Code_integer_nat * code_integer ) > nat ).

tff(func_def_869,type,
    aa_Code_integer_num: ( fun_Code_integer_num * code_integer ) > num ).

tff(func_def_870,type,
    aa_Cod6977894654539884864nteger: ( fun_Co6597186368970283863nteger * code_integer ) > produc8923325533196201883nteger ).

tff(func_def_871,type,
    aa_Cod2825494507867081354r_bool: ( fun_Co7333321365496032713r_bool * code_integer ) > produc7417142470700560111r_bool ).

tff(func_def_872,type,
    aa_Code_integer_rat: ( fun_Code_integer_rat * code_integer ) > rat ).

tff(func_def_873,type,
    aa_Cod4161879620478718930nteger: ( fun_Co1981900195452921617nteger * code_integer ) > fun_Co8499238673658658103nteger ).

tff(func_def_874,type,
    aa_Cod7250484176784686200r_bool: ( fun_Co8310303586393106575r_bool * code_integer ) > fun_Co8822979462182099027r_bool ).

tff(func_def_875,type,
    aa_Cod1242632294114111009er_int: ( fun_Co1092983284983208416er_int * code_integer ) > fun_Code_integer_int ).

tff(func_def_876,type,
    aa_Cod5420483313623307717er_nat: ( fun_Co3583066429914935172er_nat * code_integer ) > fun_Code_integer_nat ).

tff(func_def_877,type,
    aa_Cod6128727250572145423er_num: ( fun_Co8521658056209057742er_num * code_integer ) > fun_Code_integer_num ).

tff(func_def_878,type,
    aa_Cod8380929501330563836nteger: ( fun_Co2470855966376689427nteger * code_integer ) > fun_Co6597186368970283863nteger ).

tff(func_def_879,type,
    aa_Cod4981436349852597092r_bool: ( fun_Co3025358997185726883r_bool * code_integer ) > fun_Co7333321365496032713r_bool ).

tff(func_def_880,type,
    aa_Cod2498268374540730821t_bool: ( fun_Co8657364630979331932t_bool * code_integer ) > fun_nat_bool ).

tff(func_def_881,type,
    aa_Cod5448446754359732931nteger: ( fun_Co2940338738630218498nteger * code_natural ) > code_integer ).

tff(func_def_882,type,
    aa_Cod4272041906116450446atural: ( fun_Co7398788559141407565atural * code_natural ) > code_natural ).

tff(func_def_883,type,
    aa_Code_natural_bool: ( fun_Co7175331531449502024l_bool * code_natural ) > bool ).

tff(func_def_884,type,
    aa_Code_natural_nat: ( fun_Code_natural_nat * code_natural ) > nat ).

tff(func_def_885,type,
    aa_Cod5141017464274028979atural: ( fun_Co6813818151677833714atural * code_natural ) > fun_Co7398788559141407565atural ).

tff(func_def_886,type,
    aa_Cod6910080592713026658l_bool: ( fun_Co9170264581657726457l_bool * code_natural ) > fun_Co7175331531449502024l_bool ).

tff(func_def_887,type,
    aa_Cod140358652193338554t_bool: ( fun_Co6299454908631939665t_bool * code_natural ) > fun_nat_bool ).

tff(func_def_888,type,
    aa_bool_Code_integer: ( fun_bo7282069421189217543nteger * bool ) > code_integer ).

tff(func_def_889,type,
    aa_bool_Code_natural: ( fun_bo2517147204845630802atural * bool ) > code_natural ).

tff(func_def_890,type,
    aa_bool_bool: ( fun_bool_bool * bool ) > bool ).

tff(func_def_891,type,
    aa_bool_int: ( fun_bool_int * bool ) > int ).

tff(func_def_892,type,
    aa_bool_nat: ( fun_bool_nat * bool ) > nat ).

tff(func_def_893,type,
    aa_boo8970175072276269406l_bool: ( fun_bo1841576699660343469l_bool * bool ) > fun_bool_bool ).

tff(func_def_894,type,
    aa_hea5848002036693495265it_nat: ( fun_he1033112309995878576it_nat * heap_e7401611519738050253t_unit ) > nat ).

tff(func_def_895,type,
    aa_hea684056619475940329it_nat: ( fun_he5234484606919320760it_nat * heap_e7401611519738050253t_unit ) > option8956607266484857688it_nat ).

tff(func_def_896,type,
    aa_int_Code_integer: ( fun_int_Code_integer * int ) > code_integer ).

tff(func_def_897,type,
    aa_int_bool: ( fun_int_bool * int ) > bool ).

tff(func_def_898,type,
    aa_int_int: ( fun_int_int * int ) > int ).

tff(func_def_899,type,
    aa_int_nat: ( fun_int_nat * int ) > nat ).

tff(func_def_900,type,
    aa_int_num: ( fun_int_num * int ) > num ).

tff(func_def_901,type,
    aa_int7462565939943104719nt_int: ( fun_in4211310926729683942nt_int * int ) > product_prod_int_int ).

tff(func_def_902,type,
    aa_int1417691210696471063at_nat: ( fun_in4514472496968388910at_nat * int ) > product_prod_nat_nat ).

tff(func_def_903,type,
    aa_int_rat: ( fun_int_rat * int ) > rat ).

tff(func_def_904,type,
    aa_int8822742982810151799at_nat: ( fun_in8804710076054006414at_nat * int ) > set_Pr1261947904930325089at_nat ).

tff(func_def_905,type,
    aa_int3865899974016033897r_bool: ( fun_in5519481650651148416r_bool * int ) > fun_Co8822979462182099027r_bool ).

tff(func_def_906,type,
    aa_int_fun_int_bool: ( fun_int_fun_int_bool * int ) > fun_int_bool ).

tff(func_def_907,type,
    aa_int_fun_int_int: ( fun_int_fun_int_int * int ) > fun_int_int ).

tff(func_def_908,type,
    aa_int2565445551602696444nt_int: ( fun_in1696471567231710611nt_int * int ) > fun_in4211310926729683942nt_int ).

tff(func_def_909,type,
    aa_int_fun_int_rat: ( fun_int_fun_int_rat * int ) > fun_int_rat ).

tff(func_def_910,type,
    aa_int2327297053056786951t_bool: ( fun_in6148020733644367646t_bool * int ) > fun_int_fun_int_bool ).

tff(func_def_911,type,
    aa_int1966403025003302569nt_int: ( fun_in2204242111582549184nt_int * int ) > fun_in1696471567231710611nt_int ).

tff(func_def_912,type,
    aa_int_fun_nat_bool: ( fun_int_fun_nat_bool * int ) > fun_nat_bool ).

tff(func_def_913,type,
    aa_list_bool_bool: ( fun_list_bool_bool * list_bool ) > bool ).

tff(func_def_914,type,
    aa_list_int_bool: ( fun_list_int_bool * list_int ) > bool ).

tff(func_def_915,type,
    aa_list_nat_bool: ( fun_list_nat_bool * list_nat ) > bool ).

tff(func_def_916,type,
    aa_list_nat_nat: ( fun_list_nat_nat * list_nat ) > nat ).

tff(func_def_917,type,
    aa_nat_Code_integer: ( fun_nat_Code_integer * nat ) > code_integer ).

tff(func_def_918,type,
    aa_nat_Code_natural: ( fun_nat_Code_natural * nat ) > code_natural ).

tff(func_def_919,type,
    aa_nat_bool: ( fun_nat_bool * nat ) > bool ).

tff(func_def_920,type,
    aa_nat_int: ( fun_nat_int * nat ) > int ).

tff(func_def_921,type,
    aa_nat_list_nat: ( fun_nat_list_nat * nat ) > list_nat ).

tff(func_def_922,type,
    aa_nat_nat: ( fun_nat_nat * nat ) > nat ).

tff(func_def_923,type,
    aa_nat_num: ( fun_nat_num * nat ) > num ).

tff(func_def_924,type,
    aa_nat7603221163087113075at_nat: ( fun_na1476630412504255114at_nat * nat ) > product_prod_nat_nat ).

tff(func_def_925,type,
    aa_nat_rat: ( fun_nat_rat * nat ) > rat ).

tff(func_def_926,type,
    aa_nat_set_nat: ( fun_nat_set_nat * nat ) > set_nat ).

tff(func_def_927,type,
    aa_nat7431386967378518541at_nat: ( fun_na3635074868517587788at_nat * nat ) > sum_sum_nat_nat ).

tff(func_def_928,type,
    aa_nat6383147911832638789nteger: ( fun_na7078387940644931716nteger * nat ) > fun_Co8499238673658658103nteger ).

tff(func_def_929,type,
    aa_nat5282697797315388251atural: ( fun_na607345901702507418atural * nat ) > fun_Co7398788559141407565atural ).

tff(func_def_930,type,
    aa_nat4473165201473010874l_bool: ( fun_na7327111457444404817l_bool * nat ) > fun_Co7175331531449502024l_bool ).

tff(func_def_931,type,
    aa_nat_fun_bool_bool: ( fun_na9137082442855928016l_bool * nat ) > fun_bool_bool ).

tff(func_def_932,type,
    aa_nat_fun_int_bool: ( fun_nat_fun_int_bool * nat ) > fun_int_bool ).

tff(func_def_933,type,
    aa_nat_fun_int_int: ( fun_nat_fun_int_int * nat ) > fun_int_int ).

tff(func_def_934,type,
    aa_nat2079453845469346690t_bool: ( fun_na5614638261385347865t_bool * nat ) > fun_list_nat_bool ).

tff(func_def_935,type,
    aa_nat_fun_nat_bool: ( fun_nat_fun_nat_bool * nat ) > fun_nat_bool ).

tff(func_def_936,type,
    aa_nat6157064778417537467st_nat: ( fun_na819858167508000762st_nat * nat ) > fun_nat_list_nat ).

tff(func_def_937,type,
    aa_nat_fun_nat_nat: ( fun_nat_fun_nat_nat * nat ) > fun_nat_nat ).

tff(func_def_938,type,
    aa_nat8803788312118491388at_nat: ( fun_na4138050610385705875at_nat * nat ) > fun_na1476630412504255114at_nat ).

tff(func_def_939,type,
    aa_nat8637530788439456283t_bool: ( fun_na3408937105440547634t_bool * nat ) > fun_nat_fun_nat_bool ).

tff(func_def_940,type,
    aa_nat3783148529270815480at_nat: ( fun_na3244735409550470327at_nat * nat ) > fun_nat_fun_nat_nat ).

tff(func_def_941,type,
    aa_nat4158579785191972357at_nat: ( fun_na4143055713577223196at_nat * nat ) > fun_na4138050610385705875at_nat ).

tff(func_def_942,type,
    aa_nat4909001760120733684t_bool: ( fun_na4786964484885125043t_bool * nat ) > fun_na4827981024643048934t_bool ).

tff(func_def_943,type,
    aa_nat5682243440470347102at_nat: ( fun_na1668100129766719005at_nat * nat ) > fun_na8713714802964096592at_nat ).

tff(func_def_944,type,
    aa_nat4401263874371387303t_bool: ( fun_na4827981024643048934t_bool * nat ) > fun_Pr7757163693017731481t_bool ).

tff(func_def_945,type,
    aa_nat7997280740862404369at_nat: ( fun_na8713714802964096592at_nat * nat ) > fun_Pr2118491707810114563at_nat ).

tff(func_def_946,type,
    aa_nat8857836526276733660t_bool: ( fun_na5042103099923536755t_bool * nat ) > fun_set_nat_bool ).

tff(func_def_947,type,
    aa_num_Code_integer: ( fun_num_Code_integer * num ) > code_integer ).

tff(func_def_948,type,
    aa_num_bool: ( fun_num_bool * num ) > bool ).

tff(func_def_949,type,
    aa_num_int: ( fun_num_int * num ) > int ).

tff(func_def_950,type,
    aa_num_nat: ( fun_num_nat * num ) > nat ).

tff(func_def_951,type,
    aa_num_num: ( fun_num_num * num ) > num ).

tff(func_def_952,type,
    aa_num_option_num: ( fun_num_option_num * num ) > option_num ).

tff(func_def_953,type,
    aa_num_rat: ( fun_num_rat * num ) > rat ).

tff(func_def_954,type,
    aa_num5808785979904431436nteger: ( fun_nu2537414170016844299nteger * num ) > fun_num_Code_integer ).

tff(func_def_955,type,
    aa_num_fun_num_bool: ( fun_num_fun_num_bool * num ) > fun_num_bool ).

tff(func_def_956,type,
    aa_num_fun_num_int: ( fun_num_fun_num_int * num ) > fun_num_int ).

tff(func_def_957,type,
    aa_Pro4693618923521437820nteger: ( fun_Pr5876161306168176259nteger * produc8923325533196201883nteger ) > produc8923325533196201883nteger ).

tff(func_def_958,type,
    aa_Pro4501881432599481050t_bool: ( fun_Pr803113274115125473t_bool * product_prod_int_int ) > bool ).

tff(func_def_959,type,
    aa_Pro6970504127699319548nt_int: ( fun_Pr2478283820680522243nt_int * product_prod_int_int ) > product_prod_int_int ).

tff(func_def_960,type,
    aa_Pro6166618844887768661nt_rat: ( fun_Pr1652463973008025892nt_rat * product_prod_int_int ) > rat ).

tff(func_def_961,type,
    aa_Pro1534211998248933470t_bool: ( fun_Pr3099820731930151597t_bool * product_prod_int_int ) > fun_Pr803113274115125473t_bool ).

tff(func_def_962,type,
    aa_Pro4124234152028750080nt_int: ( fun_Pr1308109350235310159nt_int * product_prod_int_int ) > fun_Pr2478283820680522243nt_int ).

tff(func_def_963,type,
    aa_Pro6332413336323567195t_bool: ( fun_Pr3145601080792579042t_bool * product_prod_int_int ) > fun_rat_bool ).

tff(func_def_964,type,
    aa_Pro2232559814647311250t_bool: ( fun_Pr7757163693017731481t_bool * product_prod_nat_nat ) > bool ).

tff(func_def_965,type,
    aa_Pro4240683299535347697at_int: ( fun_Pr7647638413817135296at_int * product_prod_nat_nat ) > int ).

tff(func_def_966,type,
    aa_Pro4243173770044397973at_nat: ( fun_Pr2602117396471556196at_nat * product_prod_nat_nat ) > nat ).

tff(func_def_967,type,
    aa_Pro262675715343573244at_nat: ( fun_Pr2118491707810114563at_nat * product_prod_nat_nat ) > product_prod_nat_nat ).

tff(func_def_968,type,
    aa_Pro2928840338864870335t_bool: ( fun_Pr5932607294251420486t_bool * product_prod_nat_nat ) > fun_int_bool ).

tff(func_def_969,type,
    aa_Pro595088089689268830t_bool: ( fun_Pr248683899324676269t_bool * product_prod_nat_nat ) > fun_Pr7757163693017731481t_bool ).

tff(func_def_970,type,
    aa_Pro8023792847356852296at_nat: ( fun_Pr2477239776880934807at_nat * product_prod_nat_nat ) > fun_Pr2118491707810114563at_nat ).

tff(func_def_971,type,
    aa_rat_Code_integer: ( fun_rat_Code_integer * rat ) > code_integer ).

tff(func_def_972,type,
    aa_rat_bool: ( fun_rat_bool * rat ) > bool ).

tff(func_def_973,type,
    aa_rat_int: ( fun_rat_int * rat ) > int ).

tff(func_def_974,type,
    aa_rat_nat: ( fun_rat_nat * rat ) > nat ).

tff(func_def_975,type,
    aa_rat_num: ( fun_rat_num * rat ) > num ).

tff(func_def_976,type,
    aa_rat7754553326175492643nt_int: ( fun_ra4503298312962071866nt_int * rat ) > product_prod_int_int ).

tff(func_def_977,type,
    aa_rat_rat: ( fun_rat_rat * rat ) > rat ).

tff(func_def_978,type,
    aa_rat_fun_rat_bool: ( fun_rat_fun_rat_bool * rat ) > fun_rat_bool ).

tff(func_def_979,type,
    aa_rat_fun_rat_rat: ( fun_rat_fun_rat_rat * rat ) > fun_rat_rat ).

tff(func_def_980,type,
    aa_set_nat_bool: ( fun_set_nat_bool * set_nat ) > bool ).

tff(func_def_981,type,
    aa_set_nat_nat: ( fun_set_nat_nat * set_nat ) > nat ).

tff(func_def_982,type,
    aa_set3135850010578026034t_bool: ( fun_se8074476271188067385t_bool * set_Pr1261947904930325089at_nat ) > bool ).

tff(func_def_983,type,
    aa_set4746584241299694929at_int: ( fun_se9142667792015812128at_int * set_Pr1261947904930325089at_nat ) > int ).

tff(func_def_984,type,
    aa_char_nat: ( fun_char_nat * char ) > nat ).

tff(func_def_985,type,
    aa_Sum8073061460641146765at_nat: ( fun_Su884838341992399436at_nat * sum_sum_nat_nat ) > nat ).

tff(func_def_986,type,
    aa_typerep_nat: ( fun_typerep_nat * typerep ) > nat ).

tff(func_def_987,type,
    aa_typ4282566853489190079st_nat: ( fun_ty25169735533777662st_nat * typerep ) > fun_nat_list_nat ).

tff(func_def_988,type,
    aa_typ1677793487006219183at_nat: ( fun_ty5154387363802369006at_nat * typerep ) > fun_nat_nat ).

tff(func_def_989,type,
    aa_fun7169572220525660642r_bool: ( fun_fu7344326129191042041r_bool * fun_Co8499238673658658103nteger ) > bool ).

tff(func_def_990,type,
    aa_fun2509385170507305080nteger: ( fun_fu4800041728187187127nteger * fun_Co8499238673658658103nteger ) > fun_Pr5876161306168176259nteger ).

tff(func_def_991,type,
    aa_fun857525882259921228l_bool: ( fun_fu1032279790925302627l_bool * fun_Co7398788559141407565atural ) > bool ).

tff(func_def_992,type,
    aa_fun_int_int_bool: ( fun_fun_int_int_bool * fun_int_int ) > bool ).

tff(func_def_993,type,
    aa_fun8964553180794676938nteger: ( fun_fu6921880696561781257nteger * fun_int_int ) > fun_Co8499238673658658103nteger ).

tff(func_def_994,type,
    aa_fun4674266849241344294r_bool: ( fun_fu6750301411456490045r_bool * fun_int_int ) > fun_fu7344326129191042041r_bool ).

tff(func_def_995,type,
    aa_fun3770596143487498376t_bool: ( fun_fu8467804991414204575t_bool * fun_int_int ) > fun_fun_int_int_bool ).

tff(func_def_996,type,
    aa_fun_nat_bool_bool: ( fun_fu7168253649841883962l_bool * fun_nat_bool ) > bool ).

tff(func_def_997,type,
    aa_fun1020848501848070430l_bool: ( fun_fu5827305053654988013l_bool * fun_nat_bool ) > fun_fu7168253649841883962l_bool ).

tff(func_def_998,type,
    aa_fun_nat_nat_bool: ( fun_fun_nat_nat_bool * fun_nat_nat ) > bool ).

tff(func_def_999,type,
    aa_fun5114738747585492520atural: ( fun_fu6924846375782198887atural * fun_nat_nat ) > fun_Co7398788559141407565atural ).

tff(func_def_1000,type,
    aa_fun1838662137086867784l_bool: ( fun_fu3307002049327355231l_bool * fun_nat_nat ) > fun_fu1032279790925302627l_bool ).

tff(func_def_1001,type,
    aa_fun3185460345579526648t_bool: ( fun_fu5970656269460422159t_bool * fun_nat_nat ) > fun_fun_nat_nat_bool ).

tff(func_def_1002,type,
    aa_fun1403452029515102102t_bool: ( fun_fu4802881585551670701t_bool * fun_Pr2478283820680522243nt_int ) > bool ).

tff(func_def_1003,type,
    aa_fun7041730090766645614at_rat: ( fun_fu1098312133097393581at_rat * fun_Pr2478283820680522243nt_int ) > fun_rat_rat ).

tff(func_def_1004,type,
    aa_fun8298786006102058668t_bool: ( fun_fu2754956555950464963t_bool * fun_Pr2478283820680522243nt_int ) > fun_fu4802881585551670701t_bool ).

tff(func_def_1005,type,
    aa_fun2103967415933125506t_bool: ( fun_fu2749353902725170073t_bool * fun_Pr2478283820680522243nt_int ) > fun_fun_rat_rat_bool ).

tff(func_def_1006,type,
    aa_fun4519828053337421206t_bool: ( fun_fu7919257609373989805t_bool * fun_Pr2118491707810114563at_nat ) > bool ).

tff(func_def_1007,type,
    aa_fun8399641135911395862nt_int: ( fun_fu3064074204415222357nt_int * fun_Pr2118491707810114563at_nat ) > fun_int_int ).

tff(func_def_1008,type,
    aa_fun7527181275634263258t_bool: ( fun_fu4671764723984660721t_bool * fun_Pr2118491707810114563at_nat ) > fun_fun_int_int_bool ).

tff(func_def_1009,type,
    aa_fun2399787666232550060t_bool: ( fun_fu4272674133525273539t_bool * fun_Pr2118491707810114563at_nat ) > fun_fu7919257609373989805t_bool ).

tff(func_def_1010,type,
    aa_fun_rat_rat_bool: ( fun_fun_rat_rat_bool * fun_rat_rat ) > bool ).

tff(func_def_1011,type,
    fFalse: bool ).

tff(func_def_1012,type,
    fNot: bool > bool ).

tff(func_def_1013,type,
    fTrue: bool ).

tff(func_def_1014,type,
    fconj: ( bool * bool ) > bool ).

tff(func_def_1015,type,
    fdisj: ( bool * bool ) > bool ).

tff(func_def_1016,type,
    fequal_Code_integer: fun_Co8310303586393106575r_bool ).

tff(func_def_1017,type,
    fequal_Code_natural: code_natural > fun_Co7175331531449502024l_bool ).

tff(func_def_1018,type,
    fequal_bool: fun_bo1841576699660343469l_bool ).

tff(func_def_1019,type,
    fequal_int: fun_int_fun_int_bool ).

tff(func_def_1020,type,
    fequal_nat: fun_nat_fun_nat_bool ).

tff(func_def_1021,type,
    fequal_num: fun_num_fun_num_bool ).

tff(func_def_1022,type,
    fequal_rat: fun_rat_fun_rat_bool ).

tff(func_def_1023,type,
    fequal_fun_nat_bool: fun_fu5827305053654988013l_bool ).

tff(func_def_1024,type,
    member_nat: nat > fun_set_nat_bool ).

tff(func_def_1025,type,
    member8440522571783428010at_nat: product_prod_nat_nat > fun_se8074476271188067385t_bool ).

tff(func_def_1026,type,
    a: array_a ).

tff(func_def_1027,type,
    h: heap_e7401611519738050253t_unit ).

tff(func_def_1028,type,
    h2: heap_e7401611519738050253t_unit ).

tff(func_def_1029,type,
    n: nat ).

tff(func_def_1030,type,
    r: nat ).

tff(func_def_1031,type,
    sK50: ( nat * nat ) > nat ).

tff(func_def_1032,type,
    sK51: ( nat * nat ) > nat ).

tff(func_def_1033,type,
    sK52: nat > nat ).

tff(func_def_1034,type,
    sK53: fun_nat_bool > nat ).

tff(func_def_1035,type,
    sK54: ( nat * nat ) > nat ).

tff(func_def_1036,type,
    sK55: ( nat * nat ) > nat ).

tff(func_def_1037,type,
    sK56: fun_nat_bool > nat ).

tff(func_def_1038,type,
    sK57: fun_nat_bool > nat ).

tff(func_def_1039,type,
    sK58: ( fun_nat_bool * nat ) > nat ).

tff(func_def_1040,type,
    sK59: ( nat * nat * fun_nat_bool ) > nat ).

tff(func_def_1041,type,
    sK60: ( nat * fun_nat_bool * nat ) > nat ).

tff(func_def_1042,type,
    sK61: nat > nat ).

tff(func_def_1043,type,
    sK62: nat > nat ).

tff(func_def_1044,type,
    sK63: nat > nat ).

tff(func_def_1045,type,
    sK64: nat > nat ).

tff(func_def_1046,type,
    sK65: fun_nat_fun_nat_bool > nat ).

tff(func_def_1047,type,
    sK66: fun_nat_fun_nat_bool > nat ).

tff(func_def_1048,type,
    sK67: fun_nat_fun_nat_bool > nat ).

tff(func_def_1049,type,
    sK68: fun_nat_fun_nat_bool > nat ).

tff(func_def_1050,type,
    sK69: fun_nat_fun_nat_bool > nat ).

tff(func_def_1051,type,
    sK70: fun_nat_bool > nat ).

tff(func_def_1052,type,
    sK71: ( fun_nat_bool * nat ) > nat ).

tff(func_def_1053,type,
    sK72: fun_nat_bool > nat ).

tff(func_def_1054,type,
    sK73: fun_nat_bool > nat ).

tff(func_def_1055,type,
    sK74: nat > nat ).

tff(func_def_1056,type,
    sK75: ( fun_nat_bool * fun_nat_bool * nat ) > nat ).

tff(func_def_1057,type,
    sK76: ( fun_nat_bool * fun_nat_bool * fun_nat_bool * fun_nat_bool ) > nat ).

tff(func_def_1058,type,
    sK77: ( fun_nat_bool * fun_nat_bool * nat ) > nat ).

tff(func_def_1059,type,
    sK78: ( fun_nat_bool * fun_nat_bool * nat ) > nat ).

tff(func_def_1060,type,
    sK79: ( fun_nat_bool * fun_nat_bool * fun_nat_bool * fun_nat_bool ) > nat ).

tff(func_def_1061,type,
    sK80: ( fun_nat_bool * fun_nat_bool * nat ) > nat ).

tff(func_def_1062,type,
    sK81: nat > nat ).

tff(func_def_1063,type,
    sK82: nat > nat ).

tff(func_def_1064,type,
    sK83: nat > nat ).

tff(func_def_1065,type,
    sK84: nat > nat ).

tff(func_def_1066,type,
    sK85: ( fun_nat_bool * fun_nat_bool * nat ) > nat ).

tff(func_def_1067,type,
    sK86: ( fun_nat_bool * fun_nat_bool * fun_nat_bool * fun_nat_bool ) > nat ).

tff(func_def_1068,type,
    sK87: ( fun_nat_bool * fun_nat_bool * nat ) > nat ).

tff(func_def_1069,type,
    sK88: ( fun_nat_bool * fun_nat_bool * nat ) > nat ).

tff(func_def_1070,type,
    sK89: ( fun_nat_bool * fun_nat_bool * fun_nat_bool * fun_nat_bool ) > nat ).

tff(func_def_1071,type,
    sK90: ( fun_nat_bool * fun_nat_bool * nat ) > nat ).

tff(func_def_1072,type,
    sK91: nat > nat ).

tff(func_def_1073,type,
    sK92: nat > nat ).

tff(func_def_1074,type,
    sK93: nat > nat ).

tff(func_def_1075,type,
    sK94: nat > nat ).

tff(func_def_1076,type,
    sK95: fun_nat_fun_nat_bool > nat ).

tff(func_def_1077,type,
    sK96: fun_nat_fun_nat_bool > nat ).

tff(func_def_1078,type,
    sK97: fun_nat_fun_nat_bool > nat ).

tff(func_def_1079,type,
    sK98: fun_nat_fun_nat_bool > nat ).

tff(func_def_1080,type,
    sK99: ( nat * fun_nat_bool ) > nat ).

tff(func_def_1081,type,
    sK100: ( nat * fun_nat_bool ) > nat ).

tff(func_def_1082,type,
    sK101: fun_nat_bool > nat ).

tff(func_def_1083,type,
    sK102: ( fun_nat_bool * nat ) > nat ).

tff(func_def_1084,type,
    sK103: fun_nat_bool > nat ).

tff(func_def_1085,type,
    sK104: fun_nat_bool > nat ).

tff(func_def_1086,type,
    sK105: fun_nat_fun_nat_bool > nat ).

tff(func_def_1087,type,
    sK106: fun_nat_fun_nat_bool > nat ).

tff(func_def_1088,type,
    sK107: fun_nat_fun_nat_bool > nat ).

tff(func_def_1089,type,
    sK108: fun_nat_fun_nat_bool > nat ).

tff(func_def_1090,type,
    sK109: fun_nat_bool > nat ).

tff(func_def_1091,type,
    sK110: fun_nat_bool > nat ).

tff(func_def_1092,type,
    sK111: ( fun_nat_bool * nat ) > nat ).

tff(func_def_1093,type,
    sK112: ( nat * fun_nat_bool ) > nat ).

tff(func_def_1094,type,
    sK113: ( nat * fun_nat_bool ) > nat ).

tff(func_def_1095,type,
    sK114: nat > nat ).

tff(func_def_1096,type,
    sK115: ( nat * fun_nat_bool ) > nat ).

tff(func_def_1097,type,
    sK116: ( nat * fun_nat_bool ) > nat ).

tff(func_def_1098,type,
    sK117: nat > nat ).

tff(func_def_1099,type,
    sK118: ( nat * nat ) > nat ).

tff(func_def_1100,type,
    sK119: fun_nat_nat > nat ).

tff(func_def_1101,type,
    sK120: fun_nat_nat > nat ).

tff(func_def_1102,type,
    sK121: fun_nat_nat > nat ).

tff(func_def_1103,type,
    sK122: fun_nat_nat > nat ).

tff(func_def_1104,type,
    sK123: ( nat * nat ) > nat ).

tff(func_def_1105,type,
    sK124: nat > nat ).

tff(func_def_1106,type,
    sK125: ( nat * nat ) > nat ).

tff(func_def_1107,type,
    sK126: ( nat * nat * fun_nat_bool ) > nat ).

tff(func_def_1108,type,
    sK127: ( nat * nat * fun_nat_bool ) > nat ).

tff(func_def_1109,type,
    sK128: ( nat * fun_nat_bool ) > nat ).

tff(func_def_1110,type,
    sK129: ( nat * fun_nat_bool ) > nat ).

tff(func_def_1111,type,
    sK130: ( nat * fun_nat_bool ) > nat ).

tff(func_def_1112,type,
    sK131: ( nat * fun_nat_bool ) > nat ).

tff(func_def_1113,type,
    sK132: ( nat * nat ) > nat ).

tff(func_def_1114,type,
    sK133: fun_nat_bool > nat ).

tff(func_def_1115,type,
    sK134: fun_nat_fun_nat_bool > nat ).

tff(func_def_1116,type,
    sK135: fun_nat_fun_nat_bool > nat ).

tff(func_def_1117,type,
    sK136: fun_nat_fun_nat_bool > nat ).

tff(func_def_1118,type,
    sK137: fun_nat_fun_nat_bool > nat ).

tff(func_def_1119,type,
    sK138: fun_nat_bool > nat ).

tff(func_def_1120,type,
    sK139: fun_nat_bool > nat ).

tff(func_def_1121,type,
    sK140: ( nat * fun_nat_bool ) > nat ).

tff(func_def_1122,type,
    sK141: ( nat * fun_nat_bool ) > nat ).

tff(func_def_1123,type,
    sK142: ( nat * fun_nat_bool ) > nat ).

tff(func_def_1124,type,
    sK143: fun_nat_nat > nat ).

tff(func_def_1125,type,
    sK144: fun_nat_nat > nat ).

tff(func_def_1126,type,
    sK145: fun_nat_fun_nat_bool > nat ).

tff(func_def_1127,type,
    sK146: fun_nat_fun_nat_bool > nat ).

tff(func_def_1128,type,
    sK147: fun_nat_fun_nat_bool > nat ).

tff(func_def_1129,type,
    sK148: fun_nat_fun_nat_bool > nat ).

tff(func_def_1130,type,
    sK149: fun_nat_fun_nat_bool > nat ).

tff(func_def_1131,type,
    sK150: ( fun_nat_bool * nat ) > nat ).

tff(func_def_1132,type,
    sK151: fun_nat_int > nat ).

tff(func_def_1133,type,
    sK152: fun_nat_int > nat ).

tff(func_def_1134,type,
    sK153: fun_nat_int > nat ).

tff(func_def_1135,type,
    sK154: fun_nat_int > nat ).

tff(func_def_1136,type,
    sK155: ( fun_nat_bool * nat * nat ) > nat ).

tff(func_def_1137,type,
    sK156: ( fun_nat_bool * nat * nat ) > nat ).

tff(func_def_1138,type,
    sK157: ( nat * fun_nat_bool * nat ) > nat ).

tff(func_def_1139,type,
    sK158: ( nat * fun_nat_bool * nat ) > nat ).

tff(func_def_1140,type,
    sK159: ( nat * nat * nat ) > nat ).

tff(func_def_1141,type,
    sK160: ( nat * nat * nat ) > nat ).

tff(func_def_1142,type,
    sK161: ( nat * nat * nat ) > nat ).

tff(func_def_1143,type,
    sK162: ( fun_nat_bool * nat * nat ) > nat ).

tff(func_def_1144,type,
    sK163: ( fun_nat_bool * nat * nat ) > nat ).

tff(func_def_1145,type,
    sK164: ( fun_nat_bool * nat ) > nat ).

tff(func_def_1146,type,
    sK165: ( fun_nat_bool * nat ) > nat ).

tff(func_def_1147,type,
    sK166: ( nat * nat * nat ) > nat ).

tff(func_def_1148,type,
    sK167: ( nat * nat * nat ) > nat ).

tff(func_def_1149,type,
    sK168: ( nat * nat ) > nat ).

tff(func_def_1150,type,
    sK169: ( nat * nat ) > nat ).

tff(func_def_1151,type,
    sK170: ( nat * nat ) > nat ).

tff(func_def_1152,type,
    sK171: fun_nat_nat > nat ).

tff(func_def_1153,type,
    sK172: fun_nat_nat > nat ).

tff(func_def_1154,type,
    sK173: ( nat * nat ) > nat ).

tff(func_def_1155,type,
    sK174: ( nat * nat ) > nat ).

tff(func_def_1156,type,
    sK175: ( nat * nat ) > nat ).

tff(func_def_1157,type,
    sK176: ( nat * nat ) > nat ).

tff(func_def_1158,type,
    sK177: ( nat * nat ) > nat ).

tff(func_def_1159,type,
    sK178: ( nat * nat ) > nat ).

tff(func_def_1160,type,
    sK179: ( nat * nat ) > nat ).

tff(func_def_1161,type,
    sK180: ( nat * nat ) > nat ).

tff(func_def_1162,type,
    sK181: ( nat * nat ) > nat ).

tff(func_def_1163,type,
    sK182: ( nat * nat ) > nat ).

tff(func_def_1164,type,
    sK183: ( nat * nat ) > nat ).

tff(func_def_1165,type,
    sK184: ( nat * nat ) > nat ).

tff(func_def_1166,type,
    sK185: ( nat * nat * nat ) > nat ).

tff(func_def_1167,type,
    sK186: ( nat * nat * nat ) > nat ).

tff(func_def_1168,type,
    sK187: ( nat * nat ) > nat ).

tff(func_def_1169,type,
    sK188: ( nat * nat ) > nat ).

tff(func_def_1170,type,
    sK189: ( nat * nat ) > nat ).

tff(func_def_1171,type,
    sK190: ( nat * nat ) > nat ).

tff(func_def_1172,type,
    sK191: fun_nat_fun_nat_bool > nat ).

tff(func_def_1173,type,
    sK192: fun_nat_fun_nat_bool > nat ).

tff(func_def_1174,type,
    sK193: fun_nat_fun_nat_bool > nat ).

tff(func_def_1175,type,
    sK194: fun_nat_fun_nat_bool > nat ).

tff(func_def_1176,type,
    sK195: fun_nat_fun_nat_bool > nat ).

tff(func_def_1177,type,
    sK196: num > num ).

tff(func_def_1178,type,
    sK197: num > num ).

tff(func_def_1179,type,
    sK198: fun_nat_bool > nat ).

tff(func_def_1180,type,
    sK199: fun_nat_bool > nat ).

tff(func_def_1181,type,
    sK200: nat > nat ).

tff(func_def_1182,type,
    sK201: fun_int_bool > int ).

tff(func_def_1183,type,
    sK202: fun_int_bool > int ).

tff(func_def_1184,type,
    sK203: ( nat * nat ) > nat ).

tff(func_def_1185,type,
    sK204: ( nat * nat ) > nat ).

tff(func_def_1186,type,
    sK205: ( nat * nat ) > nat ).

tff(func_def_1187,type,
    sK206: fun_nat_bool > nat ).

tff(func_def_1188,type,
    sK207: nat > nat ).

tff(func_def_1189,type,
    sK208: nat > nat ).

tff(func_def_1190,type,
    sK209: nat > nat ).

tff(func_def_1191,type,
    sK210: ( fun_nat_bool * nat * nat ) > nat ).

tff(func_def_1192,type,
    sK211: fun_nat_rat > nat ).

tff(func_def_1193,type,
    sK212: fun_nat_rat > nat ).

tff(func_def_1194,type,
    sK213: fun_nat_rat > nat ).

tff(func_def_1195,type,
    sK214: fun_nat_rat > nat ).

tff(func_def_1196,type,
    sK215: fun_nat_rat > nat ).

tff(func_def_1197,type,
    sK216: fun_nat_rat > nat ).

tff(func_def_1198,type,
    sK217: fun_nat_rat > nat ).

tff(func_def_1199,type,
    sK218: fun_nat_rat > nat ).

tff(func_def_1200,type,
    sK219: fun_nat_rat > nat ).

tff(func_def_1201,type,
    sK220: fun_nat_rat > nat ).

tff(func_def_1202,type,
    sK221: ( nat * nat * nat ) > nat ).

tff(func_def_1203,type,
    sK222: ( nat * nat * nat ) > nat ).

tff(func_def_1204,type,
    sK223: ( nat * nat * nat ) > nat ).

tff(func_def_1205,type,
    sK224: ( nat * nat * nat ) > nat ).

tff(func_def_1206,type,
    sK225: ( nat * nat ) > nat ).

tff(func_def_1207,type,
    sK226: ( nat * nat ) > nat ).

tff(func_def_1208,type,
    sK227: fun_nat_rat > nat ).

tff(func_def_1209,type,
    sK228: fun_nat_rat > nat ).

tff(func_def_1210,type,
    sK229: fun_nat_Code_integer > nat ).

tff(func_def_1211,type,
    sK230: fun_nat_Code_integer > nat ).

tff(func_def_1212,type,
    sK231: fun_nat_rat > nat ).

tff(func_def_1213,type,
    sK232: fun_nat_rat > nat ).

tff(func_def_1214,type,
    sK233: fun_nat_Code_integer > nat ).

tff(func_def_1215,type,
    sK234: fun_nat_Code_integer > nat ).

tff(func_def_1216,type,
    sK235: fun_nat_rat > nat ).

tff(func_def_1217,type,
    sK236: fun_nat_rat > nat ).

tff(func_def_1218,type,
    sK237: fun_nat_Code_integer > nat ).

tff(func_def_1219,type,
    sK238: fun_nat_Code_integer > nat ).

tff(func_def_1220,type,
    sK239: fun_nat_rat > nat ).

tff(func_def_1221,type,
    sK240: fun_nat_Code_integer > nat ).

tff(func_def_1222,type,
    sK241: fun_nat_rat > nat ).

tff(func_def_1223,type,
    sK242: fun_nat_Code_integer > nat ).

tff(func_def_1224,type,
    sK243: fun_nat_fun_nat_bool > nat ).

tff(func_def_1225,type,
    sK244: fun_nat_fun_nat_bool > nat ).

tff(func_def_1226,type,
    sK245: fun_nat_fun_nat_bool > nat ).

tff(func_def_1227,type,
    sK246: ( nat * nat ) > nat ).

tff(func_def_1228,type,
    sK247: ( fun_nat_bool * nat ) > nat ).

tff(func_def_1229,type,
    sK248: ( int * int ) > nat ).

tff(func_def_1230,type,
    sK249: int > nat ).

tff(func_def_1231,type,
    sK250: int > nat ).

tff(func_def_1232,type,
    sK251: fun_int_bool > nat ).

tff(func_def_1233,type,
    sK252: fun_int_bool > nat ).

tff(func_def_1234,type,
    sK253: int > nat ).

tff(func_def_1235,type,
    sK254: fun_num_rat > num ).

tff(func_def_1236,type,
    sK255: fun_num_rat > num ).

tff(func_def_1237,type,
    sK256: fun_num_Code_integer > num ).

tff(func_def_1238,type,
    sK257: fun_num_Code_integer > num ).

tff(func_def_1239,type,
    sK258: fun_num_num > num ).

tff(func_def_1240,type,
    sK259: fun_num_num > num ).

tff(func_def_1241,type,
    sK260: fun_num_num > num ).

tff(func_def_1242,type,
    sK261: fun_num_num > num ).

tff(func_def_1243,type,
    sK262: fun_num_rat > num ).

tff(func_def_1244,type,
    sK263: fun_num_rat > num ).

tff(func_def_1245,type,
    sK264: fun_num_Code_integer > num ).

tff(func_def_1246,type,
    sK265: fun_num_Code_integer > num ).

tff(func_def_1247,type,
    sK266: num > num ).

tff(func_def_1248,type,
    sK267: num > num ).

tff(func_def_1249,type,
    sK268: num > num ).

tff(func_def_1250,type,
    sK269: num > num ).

tff(func_def_1251,type,
    sK270: fun_num_rat > num ).

tff(func_def_1252,type,
    sK271: fun_num_rat > num ).

tff(func_def_1253,type,
    sK272: fun_num_Code_integer > num ).

tff(func_def_1254,type,
    sK273: fun_num_Code_integer > num ).

tff(func_def_1255,type,
    sK274: fun_num_fun_num_bool > num ).

tff(func_def_1256,type,
    sK275: fun_num_fun_num_bool > num ).

tff(func_def_1257,type,
    sK276: fun_num_fun_num_bool > num ).

tff(func_def_1258,type,
    sK277: fun_num_fun_num_bool > num ).

tff(func_def_1259,type,
    sK278: fun_num_fun_num_bool > num ).

tff(func_def_1260,type,
    sK279: ( fun_num_bool * fun_num_bool * num ) > num ).

tff(func_def_1261,type,
    sK280: ( fun_num_bool * fun_num_bool * fun_num_bool * fun_num_bool ) > num ).

tff(func_def_1262,type,
    sK281: ( fun_num_bool * fun_num_bool * num ) > num ).

tff(func_def_1263,type,
    sK282: ( fun_num_bool * fun_num_bool * num ) > num ).

tff(func_def_1264,type,
    sK283: ( fun_num_bool * fun_num_bool * fun_num_bool * fun_num_bool ) > num ).

tff(func_def_1265,type,
    sK284: ( fun_num_bool * fun_num_bool * num ) > num ).

tff(func_def_1266,type,
    sK285: num > num ).

tff(func_def_1267,type,
    sK286: num > num ).

tff(func_def_1268,type,
    sK287: num > num ).

tff(func_def_1269,type,
    sK288: num > num ).

tff(func_def_1270,type,
    sK289: ( fun_num_bool * fun_num_bool * num ) > num ).

tff(func_def_1271,type,
    sK290: ( fun_num_bool * fun_num_bool * fun_num_bool * fun_num_bool ) > num ).

tff(func_def_1272,type,
    sK291: ( fun_num_bool * fun_num_bool * num ) > num ).

tff(func_def_1273,type,
    sK292: ( fun_num_bool * fun_num_bool * num ) > num ).

tff(func_def_1274,type,
    sK293: ( fun_num_bool * fun_num_bool * fun_num_bool * fun_num_bool ) > num ).

tff(func_def_1275,type,
    sK294: ( fun_num_bool * fun_num_bool * num ) > num ).

tff(func_def_1276,type,
    sK295: num > num ).

tff(func_def_1277,type,
    sK296: num > num ).

tff(func_def_1278,type,
    sK297: num > num ).

tff(func_def_1279,type,
    sK298: num > num ).

tff(func_def_1280,type,
    sK299: fun_num_int > num ).

tff(func_def_1281,type,
    sK300: fun_num_int > num ).

tff(func_def_1282,type,
    sK301: fun_num_nat > num ).

tff(func_def_1283,type,
    sK302: fun_num_nat > num ).

tff(func_def_1284,type,
    sK303: fun_num_rat > num ).

tff(func_def_1285,type,
    sK304: fun_num_rat > num ).

tff(func_def_1286,type,
    sK305: fun_num_Code_integer > num ).

tff(func_def_1287,type,
    sK306: fun_num_Code_integer > num ).

tff(func_def_1288,type,
    sK307: fun_num_int > num ).

tff(func_def_1289,type,
    sK308: fun_num_int > num ).

tff(func_def_1290,type,
    sK309: fun_num_nat > num ).

tff(func_def_1291,type,
    sK310: fun_num_nat > num ).

tff(func_def_1292,type,
    sK311: fun_num_rat > num ).

tff(func_def_1293,type,
    sK312: fun_num_rat > num ).

tff(func_def_1294,type,
    sK313: fun_num_Code_integer > num ).

tff(func_def_1295,type,
    sK314: fun_num_Code_integer > num ).

tff(func_def_1296,type,
    sK315: fun_num_int > num ).

tff(func_def_1297,type,
    sK316: fun_num_int > num ).

tff(func_def_1298,type,
    sK317: fun_num_nat > num ).

tff(func_def_1299,type,
    sK318: fun_num_nat > num ).

tff(func_def_1300,type,
    sK319: fun_num_num > num ).

tff(func_def_1301,type,
    sK320: fun_num_num > num ).

tff(func_def_1302,type,
    sK321: fun_num_rat > num ).

tff(func_def_1303,type,
    sK322: fun_num_rat > num ).

tff(func_def_1304,type,
    sK323: fun_num_int > num ).

tff(func_def_1305,type,
    sK324: fun_num_int > num ).

tff(func_def_1306,type,
    sK325: fun_num_nat > num ).

tff(func_def_1307,type,
    sK326: fun_num_nat > num ).

tff(func_def_1308,type,
    sK327: fun_num_num > num ).

tff(func_def_1309,type,
    sK328: fun_num_num > num ).

tff(func_def_1310,type,
    sK329: fun_num_rat > num ).

tff(func_def_1311,type,
    sK330: fun_num_rat > num ).

tff(func_def_1312,type,
    sK331: fun_num_int > num ).

tff(func_def_1313,type,
    sK332: fun_num_int > num ).

tff(func_def_1314,type,
    sK333: fun_num_nat > num ).

tff(func_def_1315,type,
    sK334: fun_num_nat > num ).

tff(func_def_1316,type,
    sK335: fun_num_num > num ).

tff(func_def_1317,type,
    sK336: fun_num_num > num ).

tff(func_def_1318,type,
    sK337: fun_num_rat > num ).

tff(func_def_1319,type,
    sK338: fun_num_rat > num ).

tff(func_def_1320,type,
    sK339: fun_num_nat > num ).

tff(func_def_1321,type,
    sK340: fun_num_nat > num ).

tff(func_def_1322,type,
    sK341: fun_num_num > num ).

tff(func_def_1323,type,
    sK342: fun_num_num > num ).

tff(func_def_1324,type,
    sK343: fun_num_rat > num ).

tff(func_def_1325,type,
    sK344: fun_num_rat > num ).

tff(func_def_1326,type,
    sK345: fun_num_fun_num_bool > num ).

tff(func_def_1327,type,
    sK346: fun_num_fun_num_bool > num ).

tff(func_def_1328,type,
    sK347: fun_num_fun_num_bool > num ).

tff(func_def_1329,type,
    sK348: fun_num_fun_num_bool > num ).

tff(func_def_1330,type,
    sK349: int > int ).

tff(func_def_1331,type,
    sK350: int > int ).

tff(func_def_1332,type,
    sK351: ( int * int * int ) > int ).

tff(func_def_1333,type,
    sK352: ( int * int * int ) > int ).

tff(func_def_1334,type,
    sK353: ( int * int * int ) > int ).

tff(func_def_1335,type,
    sK354: ( int * int * int ) > int ).

tff(func_def_1336,type,
    sK355: ( fun_int_bool * int * int ) > int ).

tff(func_def_1337,type,
    sK356: ( fun_int_bool * int * int ) > int ).

tff(func_def_1338,type,
    sK357: ( fun_int_bool * int * int ) > int ).

tff(func_def_1339,type,
    sK358: ( fun_int_bool * int * int ) > int ).

tff(func_def_1340,type,
    sK359: ( int * fun_int_bool ) > int ).

tff(func_def_1341,type,
    sK360: ( fun_int_bool * int ) > int ).

tff(func_def_1342,type,
    sK361: ( fun_int_bool * int ) > int ).

tff(func_def_1343,type,
    sK362: ( int * fun_int_bool ) > int ).

tff(func_def_1344,type,
    sK363: fun_int_bool > int ).

tff(func_def_1345,type,
    sK364: ( fun_int_bool * fun_int_bool * int ) > int ).

tff(func_def_1346,type,
    sK365: ( int * fun_int_bool ) > int ).

tff(func_def_1347,type,
    sK366: ( int * fun_int_bool ) > int ).

tff(func_def_1348,type,
    sK367: fun_int_bool > int ).

tff(func_def_1349,type,
    sK368: ( fun_int_bool * fun_int_bool * int ) > int ).

tff(func_def_1350,type,
    sK369: ( int * fun_int_bool ) > int ).

tff(func_def_1351,type,
    sK370: ( int * fun_int_bool ) > int ).

tff(func_def_1352,type,
    sK371: ( int * int ) > int ).

tff(func_def_1353,type,
    sK372: ( int * int ) > int ).

tff(func_def_1354,type,
    sK373: ( int * int ) > int ).

tff(func_def_1355,type,
    sK374: ( int * int ) > int ).

tff(func_def_1356,type,
    sK375: ( int * fun_int_bool ) > int ).

tff(func_def_1357,type,
    sK376: ( int * fun_int_bool ) > int ).

tff(func_def_1358,type,
    sK377: ( fun_int_bool * int ) > int ).

tff(func_def_1359,type,
    sK378: ( fun_int_bool * int ) > int ).

tff(func_def_1360,type,
    sK379: ( int * fun_int_bool ) > int ).

tff(func_def_1361,type,
    sK380: ( int * fun_int_bool ) > int ).

tff(func_def_1362,type,
    sK381: ( fun_int_bool * int ) > int ).

tff(func_def_1363,type,
    sK382: ( fun_int_bool * int ) > int ).

tff(func_def_1364,type,
    sK383: ( int * fun_int_bool ) > int ).

tff(func_def_1365,type,
    sK384: ( int * fun_int_bool ) > int ).

tff(func_def_1366,type,
    sK385: ( int * int ) > nat ).

tff(func_def_1367,type,
    sK386: int > nat ).

tff(func_def_1368,type,
    sK387: int > nat ).

tff(func_def_1369,type,
    sK388: int > nat ).

tff(func_def_1370,type,
    sK389: int > nat ).

tff(func_def_1371,type,
    sK390: int > nat ).

tff(func_def_1372,type,
    sK391: int > nat ).

tff(func_def_1373,type,
    sK392: int > nat ).

tff(func_def_1374,type,
    sK393: int > nat ).

tff(func_def_1375,type,
    sK394: int > nat ).

tff(func_def_1376,type,
    sK395: int > nat ).

tff(func_def_1377,type,
    sK396: int > nat ).

tff(func_def_1378,type,
    sK397: int > nat ).

tff(func_def_1379,type,
    sK398: int > nat ).

tff(func_def_1380,type,
    sK399: int > nat ).

tff(func_def_1381,type,
    sK400: ( rat * fun_rat_bool ) > rat ).

tff(func_def_1382,type,
    sK401: ( rat * fun_rat_bool ) > rat ).

tff(func_def_1383,type,
    sK402: ( fun_rat_bool * rat ) > rat ).

tff(func_def_1384,type,
    sK403: ( fun_rat_bool * rat ) > rat ).

tff(func_def_1385,type,
    sK404: ( rat * fun_rat_bool ) > rat ).

tff(func_def_1386,type,
    sK405: ( rat * fun_rat_bool ) > rat ).

tff(func_def_1387,type,
    sK406: ( fun_rat_bool * rat ) > rat ).

tff(func_def_1388,type,
    sK407: ( fun_rat_bool * rat ) > rat ).

tff(func_def_1389,type,
    sK408: ( rat * rat ) > rat ).

tff(func_def_1390,type,
    sK409: rat > nat ).

tff(func_def_1391,type,
    sK410: rat > nat ).

tff(func_def_1392,type,
    sK411: rat > nat ).

tff(func_def_1393,type,
    sK412: ( rat * rat ) > nat ).

tff(func_def_1394,type,
    sK413: fun_rat_rat > rat ).

tff(func_def_1395,type,
    sK414: fun_rat_rat > rat ).

tff(func_def_1396,type,
    sK415: fun_rat_rat > rat ).

tff(func_def_1397,type,
    sK416: fun_rat_rat > rat ).

tff(func_def_1398,type,
    sK417: fun_rat_rat > rat ).

tff(func_def_1399,type,
    sK418: fun_rat_rat > rat ).

tff(func_def_1400,type,
    sK419: fun_rat_rat > rat ).

tff(func_def_1401,type,
    sK420: fun_rat_rat > rat ).

tff(func_def_1402,type,
    sK421: fun_rat_rat > rat ).

tff(func_def_1403,type,
    sK422: fun_rat_rat > rat ).

tff(func_def_1404,type,
    sK423: fun_rat_rat > rat ).

tff(func_def_1405,type,
    sK424: fun_rat_rat > rat ).

tff(func_def_1406,type,
    sK425: fun_rat_rat > rat ).

tff(func_def_1407,type,
    sK426: fun_rat_rat > rat ).

tff(func_def_1408,type,
    sK427: fun_rat_rat > rat ).

tff(func_def_1409,type,
    sK428: fun_rat_rat > rat ).

tff(func_def_1410,type,
    sK429: fun_rat_rat > rat ).

tff(func_def_1411,type,
    sK430: fun_rat_rat > rat ).

tff(func_def_1412,type,
    sK431: fun_rat_rat > rat ).

tff(func_def_1413,type,
    sK432: fun_rat_rat > rat ).

tff(func_def_1414,type,
    sK433: fun_rat_rat > rat ).

tff(func_def_1415,type,
    sK434: fun_rat_rat > rat ).

tff(func_def_1416,type,
    sK435: fun_rat_rat > rat ).

tff(func_def_1417,type,
    sK436: fun_rat_rat > rat ).

tff(func_def_1418,type,
    sK437: ( rat * rat ) > rat ).

tff(func_def_1419,type,
    sK438: code_integer > code_integer ).

tff(func_def_1420,type,
    sK439: code_integer > code_integer ).

tff(func_def_1421,type,
    sK440: ( fun_Co8822979462182099027r_bool * code_integer ) > code_integer ).

tff(func_def_1422,type,
    sK441: ( fun_Co8822979462182099027r_bool * code_integer ) > code_integer ).

tff(func_def_1423,type,
    sK442: ( code_integer * code_integer ) > code_integer ).

tff(func_def_1424,type,
    sK443: ( code_integer * code_integer ) > code_integer ).

tff(func_def_1425,type,
    sK444: ( code_integer * code_integer ) > code_integer ).

tff(func_def_1426,type,
    sK445: ( code_integer * code_integer ) > code_integer ).

tff(func_def_1427,type,
    sK446: ( code_integer * fun_Co8822979462182099027r_bool ) > code_integer ).

tff(func_def_1428,type,
    sK447: ( code_integer * fun_Co8822979462182099027r_bool ) > code_integer ).

tff(func_def_1429,type,
    sK448: ( fun_Co8822979462182099027r_bool * code_integer ) > code_integer ).

tff(func_def_1430,type,
    sK449: ( fun_Co8822979462182099027r_bool * code_integer ) > code_integer ).

tff(func_def_1431,type,
    sK450: ( code_integer * fun_Co8822979462182099027r_bool ) > code_integer ).

tff(func_def_1432,type,
    sK451: ( code_integer * fun_Co8822979462182099027r_bool ) > code_integer ).

tff(func_def_1433,type,
    sK452: ( fun_Co8822979462182099027r_bool * code_integer ) > code_integer ).

tff(func_def_1434,type,
    sK453: ( fun_Co8822979462182099027r_bool * code_integer ) > code_integer ).

tff(func_def_1435,type,
    sK454: ( fun_int_bool * int ) > int ).

tff(func_def_1436,type,
    sK455: ( fun_int_bool * int ) > int ).

tff(func_def_1437,type,
    sK456: ( int * fun_int_bool ) > int ).

tff(func_def_1438,type,
    sK457: ( int * fun_int_bool ) > int ).

tff(func_def_1439,type,
    sK458: ( fun_nat_bool * int ) > nat ).

tff(pred_def_1,type,
    bNF_re3804157879324367682nt_int: ( fun_in5519481650651148416r_bool * fun_int_fun_int_bool * fun_int_int * fun_Code_integer_int ) > $o ).

tff(pred_def_2,type,
    bNF_re1831474436612530402atural: ( fun_in5519481650651148416r_bool * fun_na7327111457444404817l_bool * fun_int_nat * fun_Co3734316457315071362atural ) > $o ).

tff(pred_def_3,type,
    bNF_re2807294637932363402at_nat: ( fun_in5519481650651148416r_bool * fun_nat_fun_nat_bool * fun_int_nat * fun_Code_integer_nat ) > $o ).

tff(pred_def_4,type,
    bNF_re6718328864250387230um_num: ( fun_in5519481650651148416r_bool * fun_num_fun_num_bool * fun_int_num * fun_Code_integer_num ) > $o ).

tff(pred_def_5,type,
    bNF_re6983685936609452663r_bool: ( fun_in5519481650651148416r_bool * fun_fu2005298298577998622l_bool * fun_int_fun_int_bool * fun_Co8310303586393106575r_bool ) > $o ).

tff(pred_def_6,type,
    bNF_re9130850084932126070nteger: ( fun_in5519481650651148416r_bool * fun_fu6750301411456490045r_bool * fun_int_fun_int_int * fun_Co1981900195452921617nteger ) > $o ).

tff(pred_def_7,type,
    bNF_re4558401625797333864t_bool: ( fun_in5519481650651148416r_bool * fun_fu5827305053654988013l_bool * fun_int_fun_nat_bool * fun_Co8657364630979331932t_bool ) > $o ).

tff(pred_def_8,type,
    bNF_re982302072995117890nteger: ( fun_int_fun_int_bool * fun_in5519481650651148416r_bool * fun_int_int * fun_int_Code_integer ) > $o ).

tff(pred_def_9,type,
    bNF_re3715656647883201625at_nat: ( fun_int_fun_int_bool * fun_nat_fun_nat_bool * fun_int_nat * fun_int_nat ) > $o ).

tff(pred_def_10,type,
    bNF_re7626690874201225453um_num: ( fun_int_fun_int_bool * fun_num_fun_num_bool * fun_int_num * fun_int_num ) > $o ).

tff(pred_def_11,type,
    bNF_re5780769757191362231t_bool: ( fun_int_fun_int_bool * fun_fu7925731147167280621l_bool * fun_int_fun_int_bool * fun_int_fun_int_bool ) > $o ).

tff(pred_def_12,type,
    bNF_re5717476210804479843nt_int: ( fun_int_fun_int_bool * fun_fu8467804991414204575t_bool * fun_int_fun_int_int * fun_int_fun_int_int ) > $o ).

tff(pred_def_13,type,
    bNF_re4808202430149235895nt_int: ( fun_int_fun_int_bool * fun_fu2194082084716825453t_bool * fun_in1696471567231710611nt_int * fun_in1696471567231710611nt_int ) > $o ).

tff(pred_def_14,type,
    bNF_re2486238095283335024nt_rat: ( fun_int_fun_int_bool * fun_fu8159772421396582028t_bool * fun_in1696471567231710611nt_int * fun_int_fun_int_rat ) > $o ).

tff(pred_def_15,type,
    bNF_re4512597724629091767t_bool: ( fun_int_fun_int_bool * fun_fu5827305053654988013l_bool * fun_int_fun_nat_bool * fun_int_fun_nat_bool ) > $o ).

tff(pred_def_16,type,
    bNF_re5252274238750452962nteger: ( fun_na7327111457444404817l_bool * fun_in5519481650651148416r_bool * fun_nat_int * fun_Co2940338738630218498nteger ) > $o ).

tff(pred_def_17,type,
    bNF_re7333046803109187065at_nat: ( fun_na7327111457444404817l_bool * fun_nat_fun_nat_bool * fun_nat_nat * fun_Code_natural_nat ) > $o ).

tff(pred_def_18,type,
    bNF_re5766837079853173503l_bool: ( fun_na7327111457444404817l_bool * fun_fu1432019548987072325l_bool * fun_nat_fun_nat_bool * fun_Co9170264581657726457l_bool ) > $o ).

tff(pred_def_19,type,
    bNF_re8894069091273008983t_bool: ( fun_na7327111457444404817l_bool * fun_fu5827305053654988013l_bool * fun_nat_fun_nat_bool * fun_Co6299454908631939665t_bool ) > $o ).

tff(pred_def_20,type,
    bNF_re1400205106991740995atural: ( fun_na7327111457444404817l_bool * fun_fu3307002049327355231l_bool * fun_nat_fun_nat_nat * fun_Co6813818151677833714atural ) > $o ).

tff(pred_def_21,type,
    bNF_re4153400068438556298nteger: ( fun_nat_fun_nat_bool * fun_in5519481650651148416r_bool * fun_nat_int * fun_nat_Code_integer ) > $o ).

tff(pred_def_22,type,
    bNF_re6650684261131312217nt_int: ( fun_nat_fun_nat_bool * fun_int_fun_int_bool * fun_nat_int * fun_nat_int ) > $o ).

tff(pred_def_23,type,
    bNF_re2605341659958429177atural: ( fun_nat_fun_nat_bool * fun_na7327111457444404817l_bool * fun_nat_nat * fun_nat_Code_natural ) > $o ).

tff(pred_def_24,type,
    bNF_re6830278522597306478at_int: ( fun_nat_fun_nat_bool * fun_Pr5932607294251420486t_bool * fun_na1476630412504255114at_nat * fun_nat_int ) > $o ).

tff(pred_def_25,type,
    bNF_re4578097776928471693nteger: ( fun_nat_fun_nat_bool * fun_fu6750301411456490045r_bool * fun_nat_fun_int_int * fun_na7078387940644931716nteger ) > $o ).

tff(pred_def_26,type,
    bNF_re5651586111134833323nt_int: ( fun_nat_fun_nat_bool * fun_fu8467804991414204575t_bool * fun_nat_fun_int_int * fun_nat_fun_int_int ) > $o ).

tff(pred_def_27,type,
    bNF_re1480548845665215743t_bool: ( fun_nat_fun_nat_bool * fun_fu5827305053654988013l_bool * fun_nat_fun_nat_bool * fun_nat_fun_nat_bool ) > $o ).

tff(pred_def_28,type,
    bNF_re728283343719287275atural: ( fun_nat_fun_nat_bool * fun_fu3307002049327355231l_bool * fun_nat_fun_nat_nat * fun_na607345901702507418atural ) > $o ).

tff(pred_def_29,type,
    bNF_re5162689864697376059at_nat: ( fun_nat_fun_nat_bool * fun_fu5970656269460422159t_bool * fun_nat_fun_nat_nat * fun_nat_fun_nat_nat ) > $o ).

tff(pred_def_30,type,
    bNF_re4520166952630509772nteger: ( fun_num_fun_num_bool * fun_fu8172925815900240338r_bool * fun_num_fun_num_int * fun_nu2537414170016844299nteger ) > $o ).

tff(pred_def_31,type,
    bNF_re6378542964492772123um_int: ( fun_num_fun_num_bool * fun_fu9051297857939674819t_bool * fun_num_fun_num_int * fun_num_fun_num_int ) > $o ).

tff(pred_def_32,type,
    bNF_re1394333895916556125l_bool: ( fun_Pr3099820731930151597t_bool * fun_bo1841576699660343469l_bool * fun_Pr803113274115125473t_bool * fun_Pr803113274115125473t_bool ) > $o ).

tff(pred_def_33,type,
    bNF_re4734134812813710757nt_int: ( fun_Pr3099820731930151597t_bool * fun_fu2754956555950464963t_bool * fun_Pr1308109350235310159nt_int * fun_Pr1308109350235310159nt_int ) > $o ).

tff(pred_def_34,type,
    bNF_re3535474257078034868l_bool: ( fun_Pr3145601080792579042t_bool * fun_bo1841576699660343469l_bool * fun_Pr803113274115125473t_bool * fun_rat_bool ) > $o ).

tff(pred_def_35,type,
    bNF_re6323452265856231590at_rat: ( fun_Pr3145601080792579042t_bool * fun_fu2749353902725170073t_bool * fun_Pr1308109350235310159nt_int * fun_rat_fun_rat_rat ) > $o ).

tff(pred_def_36,type,
    bNF_re4555766996558763186at_nat: ( fun_Pr5932607294251420486t_bool * fun_nat_fun_nat_bool * fun_Pr2602117396471556196at_nat * fun_int_nat ) > $o ).

tff(pred_def_37,type,
    bNF_re2632563231991741785t_bool: ( fun_Pr5932607294251420486t_bool * fun_fu813382667476268716l_bool * fun_Pr248683899324676269t_bool * fun_int_fun_int_bool ) > $o ).

tff(pred_def_38,type,
    bNF_re8869769828555196650nt_int: ( fun_Pr5932607294251420486t_bool * fun_fu4671764723984660721t_bool * fun_Pr2477239776880934807at_nat * fun_int_fun_int_int ) > $o ).

tff(pred_def_39,type,
    bNF_re8246922863344978751at_nat: ( fun_Pr248683899324676269t_bool * fun_nat_fun_nat_bool * fun_Pr2602117396471556196at_nat * fun_Pr2602117396471556196at_nat ) > $o ).

tff(pred_def_40,type,
    bNF_re2219331435504962769t_bool: ( fun_Pr248683899324676269t_bool * fun_fu8778301040783821591l_bool * fun_Pr248683899324676269t_bool * fun_Pr248683899324676269t_bool ) > $o ).

tff(pred_def_41,type,
    bNF_re6214786843070381989at_nat: ( fun_Pr248683899324676269t_bool * fun_fu4272674133525273539t_bool * 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_bool * fun_nat_fun_nat_bool ) > $o ).

tff(pred_def_58,type,
    quotie2291698863146621601nteger: ( fun_int_fun_int_bool * fun_int_Code_integer * fun_Code_integer_int * fun_in5519481650651148416r_bool ) > $o ).

tff(pred_def_59,type,
    quotie743640454666494480atural: ( fun_nat_fun_nat_bool * fun_nat_Code_natural * fun_Code_natural_nat * fun_na7327111457444404817l_bool ) > $o ).

tff(pred_def_60,type,
    quotie1194848508323700631at_int: ( fun_Pr248683899324676269t_bool * fun_Pr7647638413817135296at_int * fun_in4514472496968388910at_nat * fun_Pr5932607294251420486t_bool ) > $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_Pr248683899324676269t_bool * fun_Pr7647638413817135296at_int * fun_in4514472496968388910at_nat ) > $o ).

tff(pred_def_78,type,
    domain9213661015745956397nt_rat: ( fun_Pr3145601080792579042t_bool * product_prod_int_int ) > $o ).

tff(pred_def_79,type,
    bi_tot1331153423839324337nteger: fun_in5519481650651148416r_bool > $o ).

tff(pred_def_80,type,
    bi_tot9006467052213973024atural: fun_na7327111457444404817l_bool > $o ).

tff(pred_def_81,type,
    bi_tot896582865486249351at_int: fun_Pr5932607294251420486t_bool > $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_Pr4637083014979798189l_bool * produc7822875418678951345atural ) > $o ).

tff(pred_def_85,type,
    accp_P1096762738010456898nt_int: ( fun_Pr3099820731930151597t_bool * 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,
    member_Code_integer: ( code_integer * set_Code_integer ) > $o ).

tff(pred_def_89,type,
    member_int: ( int * set_int ) > $o ).

tff(pred_def_90,type,
    member_list_nat: ( list_nat * set_list_nat ) > $o ).

tff(pred_def_91,type,
    member_num: ( num * set_num ) > $o ).

tff(pred_def_92,type,
    member8206827879206165904at_nat: ( produc859450856879609959at_nat * set_Pr8693737435421807431at_nat ) > $o ).

tff(pred_def_93,type,
    member8757157785044589968at_nat: ( produc3843707927480180839at_nat * set_Pr4329608150637261639at_nat ) > $o ).

tff(pred_def_94,type,
    member_Product_unit: ( product_unit * set_Product_unit ) > $o ).

tff(pred_def_95,type,
    member_rat: ( rat * set_rat ) > $o ).

tff(pred_def_96,type,
    member_set_nat: ( set_nat * set_set_nat ) > $o ).

tff(pred_def_97,type,
    member2643936169264416010at_nat: ( set_Pr1261947904930325089at_nat * set_se7855581050983116737at_nat ) > $o ).

tff(pred_def_98,type,
    pp: bool > $o ).

tff(pred_def_100,type,
    sP0: ( fun_nat_bool * fun_nat_bool * fun_nat_bool * fun_nat_bool ) > $o ).

tff(pred_def_101,type,
    sP1: ( fun_nat_bool * fun_nat_bool ) > $o ).

tff(pred_def_102,type,
    sP2: ( fun_nat_bool * fun_nat_bool * fun_nat_bool * fun_nat_bool ) > $o ).

tff(pred_def_103,type,
    sP3: ( fun_nat_bool * fun_nat_bool ) > $o ).

tff(pred_def_104,type,
    sP4: ( fun_nat_bool * fun_nat_bool * fun_nat_bool * fun_nat_bool ) > $o ).

tff(pred_def_105,type,
    sP5: ( fun_nat_bool * fun_nat_bool ) > $o ).

tff(pred_def_106,type,
    sP6: ( fun_nat_bool * fun_nat_bool * fun_nat_bool * fun_nat_bool ) > $o ).

tff(pred_def_107,type,
    sP7: ( fun_nat_bool * fun_nat_bool ) > $o ).

tff(pred_def_108,type,
    sP8: ( nat * nat * nat ) > $o ).

tff(pred_def_109,type,
    sP9: ( nat * nat * nat ) > $o ).

tff(pred_def_110,type,
    sP10: ( nat * nat * nat ) > $o ).

tff(pred_def_111,type,
    sP11: ( fun_nat_bool * nat * nat ) > $o ).

tff(pred_def_112,type,
    sP12: ( nat * fun_nat_bool * nat ) > $o ).

tff(pred_def_113,type,
    sP13: fun_int_bool > $o ).

tff(pred_def_114,type,
    sP14: ( fun_num_bool * fun_num_bool * fun_num_bool * fun_num_bool ) > $o ).

tff(pred_def_115,type,
    sP15: ( fun_num_bool * fun_num_bool ) > $o ).

tff(pred_def_116,type,
    sP16: ( fun_num_bool * fun_num_bool * fun_num_bool * fun_num_bool ) > $o ).

tff(pred_def_117,type,
    sP17: ( fun_num_bool * fun_num_bool ) > $o ).

tff(pred_def_118,type,
    sP18: ( fun_num_bool * fun_num_bool * fun_num_bool * fun_num_bool ) > $o ).

tff(pred_def_119,type,
    sP19: ( fun_num_bool * fun_num_bool ) > $o ).

tff(pred_def_120,type,
    sP20: ( fun_num_bool * fun_num_bool * fun_num_bool * fun_num_bool ) > $o ).

tff(pred_def_121,type,
    sP21: ( fun_num_bool * fun_num_bool ) > $o ).

tff(pred_def_122,type,
    sP22: ( num * num * num ) > $o ).

tff(pred_def_123,type,
    sP23: ( num * num * num ) > $o ).

tff(pred_def_124,type,
    sP24: ( num * num * num ) > $o ).

tff(pred_def_125,type,
    sP25: ( fun_int_bool * int * int ) > $o ).

tff(pred_def_126,type,
    sP26: ( fun_int_bool * int * int ) > $o ).

tff(pred_def_127,type,
    sP27: ( int * fun_int_bool * fun_int_bool ) > $o ).

tff(pred_def_128,type,
    sP28: ( int * fun_int_bool * fun_int_bool ) > $o ).

tff(pred_def_129,type,
    sP29: ( rat * num * rat ) > $o ).

tff(pred_def_130,type,
    sP30: ( rat * rat * num ) > $o ).

tff(pred_def_131,type,
    sP31: ( rat * num * rat ) > $o ).

tff(pred_def_132,type,
    sP32: ( rat * rat * num ) > $o ).

tff(pred_def_133,type,
    sP33: ( rat * num * rat ) > $o ).

tff(pred_def_134,type,
    sP34: ( rat * rat * num ) > $o ).

tff(pred_def_135,type,
    sP35: ( rat * rat * num ) > $o ).

tff(pred_def_136,type,
    sP36: ( rat * num * rat ) > $o ).

tff(pred_def_137,type,
    sP37: ( rat * rat * rat ) > $o ).

tff(pred_def_138,type,
    sP38: ( rat * rat * rat ) > $o ).

tff(pred_def_139,type,
    sP39: ( rat * rat * rat ) > $o ).

tff(pred_def_140,type,
    sP40: ( rat * rat * rat ) > $o ).

tff(pred_def_141,type,
    sP41: ( rat * rat * rat ) > $o ).

tff(pred_def_142,type,
    sP42: ( rat * rat * rat ) > $o ).

tff(pred_def_143,type,
    sP43: ( rat * rat * rat ) > $o ).

tff(pred_def_144,type,
    sP44: ( rat * rat * rat ) > $o ).

tff(pred_def_145,type,
    sP45: ( rat * fun_rat_bool * fun_rat_bool ) > $o ).

tff(pred_def_146,type,
    sP46: ( rat * fun_rat_bool * fun_rat_bool ) > $o ).

tff(pred_def_147,type,
    sP47: ( code_integer * fun_Co8822979462182099027r_bool * fun_Co8822979462182099027r_bool ) > $o ).

tff(pred_def_148,type,
    sP48: ( code_integer * fun_Co8822979462182099027r_bool * fun_Co8822979462182099027r_bool ) > $o ).

tff(pred_def_149,type,
    sP49: ( fun_int_bool * int ) > $o ).

tff(f1,axiom,
    pp(aa_nat_bool(aa_nat_fun_nat_bool(heap_Time_effect_nat(array_len_a(a),h,h2),r),n)),
    file('/export/starexec/sandbox/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/sandbox/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 )
         => pp(aa_nat_bool(aa_nat_fun_nat_bool(heap_Time_effect_nat(array_len_a(X3),X1,X0),X2),X4)) ) ) ),
    file('/export/starexec/sandbox/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] :
      ( pp(aa_nat_bool(aa_nat_fun_nat_bool(heap_Time_effect_nat(X0,X1,X2),X3),X4))
     => ( pp(aa_nat_bool(aa_nat_fun_nat_bool(heap_Time_effect_nat(X0,X1,X5),X6),X7))
       => ( X4 = X7 ) ) ),
    file('/export/starexec/sandbox/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] :
      ( pp(aa_nat_bool(aa_nat_fun_nat_bool(heap_Time_effect_nat(X0,X1,X2),X3),X4))
     => ( pp(aa_nat_bool(aa_nat_fun_nat_bool(heap_Time_effect_nat(X0,X1,X5),X6),X7))
       => ( X2 = X5 ) ) ),
    file('/export/starexec/sandbox/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] :
      ( pp(aa_nat_bool(aa_nat_fun_nat_bool(heap_Time_effect_nat(X0,X1,X2),X3),X4))
     => ( pp(aa_nat_bool(aa_nat_fun_nat_bool(heap_Time_effect_nat(X0,X1,X5),X6),X7))
       => ( X3 = X6 ) ) ),
    file('/export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p',fact_7754_length__def) ).

tff(f9401,conjecture,
    thesis,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_1) ).

tff(f9402,negated_conjecture,
    ~ thesis,
    inference(negated_conjecture,[status(cth)],[f9401]) ).

tff(f9403,plain,
    ~ thesis,
    inference(flattening,[],[f9402]) ).

tff(f9447,plain,
    ( thesis
    | ( n != one_one_nat )
    | ( h != h2 )
    | ( r != array_length_a(h2,a) ) ),
    inference(ennf_transformation,[],[f2]) ).

tff(f9448,plain,
    ( thesis
    | ( n != one_one_nat )
    | ( h != h2 )
    | ( r != array_length_a(h2,a) ) ),
    inference(flattening,[],[f9447]) ).

tff(f9449,plain,
    ! [X0: heap_e7401611519738050253t_unit,X1: heap_e7401611519738050253t_unit,X2: nat,X3: array_a,X4: nat] :
      ( pp(aa_nat_bool(aa_nat_fun_nat_bool(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(f9450,plain,
    ! [X0: heap_e7401611519738050253t_unit,X1: heap_e7401611519738050253t_unit,X2: nat,X3: array_a,X4: nat] :
      ( pp(aa_nat_bool(aa_nat_fun_nat_bool(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,[],[f9449]) ).

tff(f9584,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 )
      | ~ pp(aa_nat_bool(aa_nat_fun_nat_bool(heap_Time_effect_nat(X0,X1,X5),X6),X7))
      | ~ pp(aa_nat_bool(aa_nat_fun_nat_bool(heap_Time_effect_nat(X0,X1,X2),X3),X4)) ),
    inference(ennf_transformation,[],[f57]) ).

tff(f9585,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 )
      | ~ pp(aa_nat_bool(aa_nat_fun_nat_bool(heap_Time_effect_nat(X0,X1,X5),X6),X7))
      | ~ pp(aa_nat_bool(aa_nat_fun_nat_bool(heap_Time_effect_nat(X0,X1,X2),X3),X4)) ),
    inference(flattening,[],[f9584]) ).

tff(f9586,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 )
      | ~ pp(aa_nat_bool(aa_nat_fun_nat_bool(heap_Time_effect_nat(X0,X1,X5),X6),X7))
      | ~ pp(aa_nat_bool(aa_nat_fun_nat_bool(heap_Time_effect_nat(X0,X1,X2),X3),X4)) ),
    inference(ennf_transformation,[],[f56]) ).

tff(f9587,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 )
      | ~ pp(aa_nat_bool(aa_nat_fun_nat_bool(heap_Time_effect_nat(X0,X1,X5),X6),X7))
      | ~ pp(aa_nat_bool(aa_nat_fun_nat_bool(heap_Time_effect_nat(X0,X1,X2),X3),X4)) ),
    inference(flattening,[],[f9586]) ).

tff(f9588,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 )
      | ~ pp(aa_nat_bool(aa_nat_fun_nat_bool(heap_Time_effect_nat(X0,X1,X5),X6),X7))
      | ~ pp(aa_nat_bool(aa_nat_fun_nat_bool(heap_Time_effect_nat(X0,X1,X2),X3),X4)) ),
    inference(ennf_transformation,[],[f55]) ).

tff(f9589,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 )
      | ~ pp(aa_nat_bool(aa_nat_fun_nat_bool(heap_Time_effect_nat(X0,X1,X5),X6),X7))
      | ~ pp(aa_nat_bool(aa_nat_fun_nat_bool(heap_Time_effect_nat(X0,X1,X2),X3),X4)) ),
    inference(flattening,[],[f9588]) ).

tff(f13626,plain,
    ~ thesis,
    inference(cnf_transformation,[],[f9403]) ).

tff(f13627,plain,
    ( thesis
    | ( n != one_one_nat )
    | ( h != h2 )
    | ( r != array_length_a(h2,a) ) ),
    inference(cnf_transformation,[],[f9448]) ).

tff(f13628,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(f13629,plain,
    ! [X2: nat,X3: array_a,X0: heap_e7401611519738050253t_unit,X1: heap_e7401611519738050253t_unit,X4: nat] :
      ( pp(aa_nat_bool(aa_nat_fun_nat_bool(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,[],[f9450]) ).

tff(f13875,plain,
    pp(aa_nat_bool(aa_nat_fun_nat_bool(heap_Time_effect_nat(array_len_a(a),h,h2),r),n)),
    inference(cnf_transformation,[],[f1]) ).

tff(f13876,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] :
      ( ~ pp(aa_nat_bool(aa_nat_fun_nat_bool(heap_Time_effect_nat(X0,X1,X5),X6),X7))
      | ( X3 = X6 )
      | ~ pp(aa_nat_bool(aa_nat_fun_nat_bool(heap_Time_effect_nat(X0,X1,X2),X3),X4)) ),
    inference(cnf_transformation,[],[f9585]) ).

tff(f13877,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] :
      ( ~ pp(aa_nat_bool(aa_nat_fun_nat_bool(heap_Time_effect_nat(X0,X1,X5),X6),X7))
      | ( X2 = X5 )
      | ~ pp(aa_nat_bool(aa_nat_fun_nat_bool(heap_Time_effect_nat(X0,X1,X2),X3),X4)) ),
    inference(cnf_transformation,[],[f9587]) ).

tff(f13878,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] :
      ( ~ pp(aa_nat_bool(aa_nat_fun_nat_bool(heap_Time_effect_nat(X0,X1,X5),X6),X7))
      | ( X4 = X7 )
      | ~ pp(aa_nat_bool(aa_nat_fun_nat_bool(heap_Time_effect_nat(X0,X1,X2),X3),X4)) ),
    inference(cnf_transformation,[],[f9589]) ).

tff(f18953,plain,
    ( thesis
    | ( n != one_one_nat )
    | ( h != h2 )
    | ( r != size_size_list_a(array_get_a(h2,a)) ) ),
    inference(definition_unfolding,[],[f13627,f13628]) ).

tff(f18954,plain,
    ! [X2: nat,X3: array_a,X0: heap_e7401611519738050253t_unit,X1: heap_e7401611519738050253t_unit,X4: nat] :
      ( pp(aa_nat_bool(aa_nat_fun_nat_bool(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,[],[f13629,f13628]) ).

tff(f18955,plain,
    ! [X2: nat,X3: array_a,X0: heap_e7401611519738050253t_unit,X1: heap_e7401611519738050253t_unit] :
      ( pp(aa_nat_bool(aa_nat_fun_nat_bool(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,[],[f18954]) ).

tff(f18956,plain,
    ! [X3: array_a,X0: heap_e7401611519738050253t_unit,X1: heap_e7401611519738050253t_unit] :
      ( pp(aa_nat_bool(aa_nat_fun_nat_bool(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,[],[f18955]) ).

tff(f18957,plain,
    ! [X3: array_a,X1: heap_e7401611519738050253t_unit] : pp(aa_nat_bool(aa_nat_fun_nat_bool(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,[],[f18956]) ).

tff(f20404,definition,
    ( spl459_7
  <=> ( r = size_size_list_a(array_get_a(h2,a)) ) ),
    introduced(definition,[new_symbols(definition,[spl459_7])],[avatar_definition]) ).

tff(f20406,plain,
    ( ( r != size_size_list_a(array_get_a(h2,a)) )
    | spl459_7 ),
    inference(avatar_component_clause,[],[f20404]) ).

tff(f20408,definition,
    ( spl459_8
  <=> ( h = h2 ) ),
    introduced(definition,[new_symbols(definition,[spl459_8])],[avatar_definition]) ).

tff(f20409,plain,
    ( ( h = h2 )
    | ~ spl459_8 ),
    inference(avatar_component_clause,[],[f20408]) ).

tff(f20412,definition,
    ( spl459_9
  <=> ( n = one_one_nat ) ),
    introduced(definition,[new_symbols(definition,[spl459_9])],[avatar_definition]) ).

tff(f20416,definition,
    ( spl459_10
  <=> thesis ),
    introduced(definition,[new_symbols(definition,[spl459_10])],[avatar_definition]) ).

tff(f20419,plain,
    ( ~ spl459_7
    | ~ spl459_8
    | ~ spl459_9
    | spl459_10 ),
    inference(avatar_split_clause,[],[f18953,f20416,f20412,f20408,f20404]) ).

tff(f20420,plain,
    ~ spl459_10,
    inference(avatar_split_clause,[],[f13626,f20416]) ).

tff(f20887,plain,
    ! [X2: nat,X0: nat,X1: heap_e7401611519738050253t_unit] :
      ( ~ pp(aa_nat_bool(aa_nat_fun_nat_bool(heap_Time_effect_nat(array_len_a(a),h,X1),X2),X0))
      | ( n = X0 ) ),
    inference(resolution,[],[f13875,f13878]) ).

tff(f20888,plain,
    ! [X2: nat,X0: nat,X1: heap_e7401611519738050253t_unit] :
      ( ~ pp(aa_nat_bool(aa_nat_fun_nat_bool(heap_Time_effect_nat(array_len_a(a),h,X1),X0),X2))
      | ( r = X0 ) ),
    inference(resolution,[],[f13875,f13876]) ).

tff(f20891,plain,
    n = one_one_nat,
    inference(resolution,[],[f18957,f20887]) ).

tff(f20892,plain,
    r = size_size_list_a(array_get_a(h,a)),
    inference(resolution,[],[f18957,f20888]) ).

tff(f20893,plain,
    ! [X2: array_a,X3: nat,X0: heap_e7401611519738050253t_unit,X1: heap_e7401611519738050253t_unit,X4: nat] :
      ( ~ pp(aa_nat_bool(aa_nat_fun_nat_bool(heap_Time_effect_nat(array_len_a(X2),X1,X0),X3),X4))
      | ( X0 = X1 ) ),
    inference(resolution,[],[f18957,f13877]) ).

tff(f20896,plain,
    spl459_9,
    inference(avatar_split_clause,[],[f20891,f20412]) ).

tff(f20898,plain,
    h = h2,
    inference(resolution,[],[f20893,f13875]) ).

tff(f20900,plain,
    spl459_8,
    inference(avatar_split_clause,[],[f20898,f20408]) ).

tff(f20901,plain,
    ( ( r = size_size_list_a(array_get_a(h2,a)) )
    | ~ spl459_8 ),
    inference(superposition,[],[f20892,f20409]) ).

tff(f20907,plain,
    ( $false
    | spl459_7
    | ~ spl459_8 ),
    inference(forward_subsumption_resolution,[],[f20901,f20406]) ).

tff(f20908,plain,
    ( spl459_7
    | ~ spl459_8 ),
    inference(avatar_contradiction_clause,[],[f20907]) ).

cnf(s4,plain,
    ( ~ spl459_7
    | ~ spl459_8
    | ~ spl459_9
    | spl459_10 ),
    inference(sat_conversion,[],[f20419]) ).

cnf(s5,plain,
    ~ spl459_10,
    inference(sat_conversion,[],[f20420]) ).

cnf(s18,plain,
    spl459_9,
    inference(sat_conversion,[],[f20896]) ).

cnf(s19,plain,
    spl459_8,
    inference(sat_conversion,[],[f20900]) ).

cnf(s20,plain,
    ( spl459_7
    | ~ spl459_8 ),
    inference(sat_conversion,[],[f20908]) ).

cnf(s21,plain,
    spl459_7,
    inference(rat,[],[s20,s19]) ).

cnf(s22,plain,
    $false,
    inference(rat,[],[s4,s5,s18,s19,s21]) ).

tff(f20909,plain,
    $false,
    inference(avatar_sat_refutation,[],[s22]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : ITP208_1 : TPTP v9.3.1. Released v8.0.0.
% 0.00/0.07  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.40  % Computer : n003.cluster.edu
% 0.12/0.40  % Model    : x86_64 x86_64
% 0.12/0.40  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.40  % Memory   : 8046.5625MB
% 0.12/0.40  % OS       : Linux 6.8.0-71-generic
% 0.12/0.40  % CPULimit : 300
% 0.12/0.40  % WCLimit  : 300
% 0.12/0.40  % DateTime : Sun Sep 27 12:24:56 UTC 2026
% 0.12/0.40  % CPUTime  : 
% 0.12/0.40  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.44  Running first-order theorem proving
% 0.12/0.44  Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 23.62/4.73  % (453450)Detected formulas, will run a generic FOF schedule.
% 23.62/4.73  % (453546)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2548162610:s2a=on:i=139:gtg=position_2994 on theBenchmark for (2994ds/139Mi)
% 23.62/4.73  % (453547)dis-21_1_sil=8000:lcm=predicate:random_seed=2379097274: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)
% 23.62/4.73  % (453543)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=1762447920:i=141695:sd=1:nm=32:gsp=on:ss=included_2994 on theBenchmark for (2994ds/141695Mi)
% 23.62/4.73  % (453542)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=513323732:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2994 on theBenchmark for (2994ds/134677Mi)
% 23.62/4.73  % (453545)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2791960863:i=119:av=off:ss=axioms_2994 on theBenchmark for (2994ds/119Mi)
% 23.62/4.73  % (453541)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=3234565430:i=141193_2994 on theBenchmark for (2994ds/141193Mi)
% 23.62/4.73  % (453544)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=425560295:i=109:sd=1:ins=1:gsp=on:ss=axioms_2994 on theBenchmark for (2994ds/109Mi)
% 23.62/4.73  % (453546)Instruction limit reached! 
% 23.62/4.73  % (453546)------------------------------
% 23.62/4.73  % (453546)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.62/4.73  % (453546)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.62/4.73  % (453546)CaDiCaL version: 2.1.3
% 23.62/4.73  % (453546)Termination reason: Instruction limit
% 23.62/4.73  % (453546)Termination phase: Property scanning
% 23.62/4.73  % (453546)Time elapsed: 0.060 s
% 23.62/4.73  % (453546)Peak memory usage: 92 MB
% 23.62/4.73  % (453546)Instructions burned: 143 (million)
% 23.62/4.73  % (453544)Refutation not found, incomplete strategy
% 23.62/4.73  % (453544)------------------------------
% 23.62/4.73  % (453544)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.62/4.73  % (453544)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.62/4.73  % (453544)CaDiCaL version: 2.1.3
% 23.62/4.73  % (453544)Termination reason: Refutation not found, incomplete strategy
% 23.62/4.73  % (453544)Time elapsed: 0.058 s
% 23.62/4.73  % (453544)Peak memory usage: 95 MB
% 23.62/4.73  % (453544)Instructions burned: 49 (million)
% 23.62/4.73  % (453547)Instruction limit reached! 
% 23.62/4.73  % (453547)------------------------------
% 23.62/4.73  % (453547)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.62/4.73  % (453547)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.62/4.73  % (453547)CaDiCaL version: 2.1.3
% 23.62/4.73  % (453547)Termination reason: Instruction limit
% 23.62/4.73  % (453547)Termination phase: Preprocessing 3
% 23.62/4.73  % (453547)Time elapsed: 0.136 s
% 23.62/4.73  % (453547)Peak memory usage: 96 MB
% 23.62/4.73  % (453547)Instructions burned: 129 (million)
% 23.62/4.73  % (453545)Instruction limit reached! 
% 23.62/4.73  % (453545)------------------------------
% 23.62/4.73  % (453545)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.62/4.73  % (453545)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.62/4.73  % (453545)CaDiCaL version: 2.1.3
% 23.62/4.73  % (453545)Termination reason: Instruction limit
% 23.62/4.73  % (453545)Termination phase: Saturation
% 23.62/4.73  % (453545)Time elapsed: 0.117 s
% 23.62/4.73  % (453545)Peak memory usage: 97 MB
% 23.62/4.73  % (453545)Instructions burned: 119 (million)
% 23.62/4.73  % (453576)lrs+10_1_sil=8000:sp=occurrence:random_seed=1623450633:i=285:sd=3:ss=axioms:sgt=8_2991 on theBenchmark for (2991ds/285Mi)
% 23.62/4.73  % (453578)lrs+10_1_sil=32000:urr=on:br=off:random_seed=4198835791:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2990 on theBenchmark for (2990ds/157Mi)
% 23.62/4.73  % (453576)Instruction limit reached! 
% 23.62/4.73  % (453576)------------------------------
% 23.62/4.73  % (453576)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.62/4.73  % (453576)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.62/4.73  % (453576)CaDiCaL version: 2.1.3
% 23.62/4.73  % (453576)Termination reason: Instruction limit
% 23.62/4.73  % (453576)Termination phase: Saturation
% 23.62/4.73  % (453576)Time elapsed: 0.146 s
% 16.07/6.18  % (453576)Peak memory usage: 99 MB
% 16.07/6.18  % (453576)Instructions burned: 287 (million)
% 16.07/6.18  % (453580)lrs+1011_1_sil=32000:sp=occurrence:random_seed=2097270331:i=325:sd=1:ss=axioms:sgt=32_2990 on theBenchmark for (2990ds/325Mi)
% 16.07/6.18  % (453580)Refutation not found, incomplete strategy
% 16.07/6.18  % (453580)------------------------------
% 16.07/6.18  % (453580)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.07/6.18  % (453580)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.07/6.18  % (453580)CaDiCaL version: 2.1.3
% 16.07/6.18  % (453580)Termination reason: Refutation not found, incomplete strategy
% 16.07/6.18  % (453580)Time elapsed: 0.051 s
% 16.07/6.18  % (453580)Peak memory usage: 96 MB
% 16.07/6.18  % (453580)Instructions burned: 48 (million)
% 16.07/6.18  % (453544)------------------------------
% 16.07/6.18  % (453544)------------------------------
% 16.07/6.18  % (453578)Instruction limit reached! 
% 16.07/6.18  % (453578)------------------------------
% 16.07/6.18  % (453578)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.07/6.18  % (453578)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.07/6.18  % (453578)CaDiCaL version: 2.1.3
% 16.07/6.18  % (453578)Termination reason: Instruction limit
% 16.07/6.18  % (453578)Termination phase: Property scanning
% 16.07/6.18  % (453578)Time elapsed: 0.126 s
% 16.07/6.18  % (453578)Peak memory usage: 92 MB
% 16.07/6.18  % (453578)Instructions burned: 158 (million)
% 16.07/6.18  % (453587)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=1942749561:s2a=on:i=248:s2at=1.23:gtg=position_2987 on theBenchmark for (2987ds/248Mi)
% 16.07/6.18  % (453588)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=629838452:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2987 on theBenchmark for (2987ds/294Mi)
% 16.07/6.18  % (453587)Instruction limit reached! 
% 16.07/6.18  % (453587)------------------------------
% 16.07/6.18  % (453587)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.07/6.18  % (453587)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.07/6.18  % (453587)CaDiCaL version: 2.1.3
% 16.07/6.18  % (453587)Termination reason: Instruction limit
% 16.07/6.18  % (453587)Termination phase: Preprocessing 1
% 16.07/6.18  % (453587)Time elapsed: 0.113 s
% 16.07/6.18  % (453587)Peak memory usage: 93 MB
% 16.07/6.18  % (453587)Instructions burned: 248 (million)
% 16.07/6.18  % (453589)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=226362424:i=2350_2986 on theBenchmark for (2986ds/2350Mi)
% 16.07/6.18  % (453588)Refutation not found, incomplete strategy
% 16.07/6.18  % (453588)------------------------------
% 16.07/6.18  % (453588)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.07/6.18  % (453588)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.07/6.18  % (453588)CaDiCaL version: 2.1.3
% 16.07/6.18  % (453588)Termination reason: Refutation not found, incomplete strategy
% 16.07/6.18  % (453588)Time elapsed: 0.099 s
% 16.07/6.18  % (453588)Peak memory usage: 97 MB
% 16.07/6.18  % (453588)Instructions burned: 97 (million)
% 16.07/6.18  % (453580)------------------------------
% 16.07/6.18  % (453580)------------------------------
% 16.07/6.18  % (453598)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=96081476:cts=off:i=113:fsr=off:ss=included:sgt=4_2984 on theBenchmark for (2984ds/113Mi)
% 16.07/6.18  % (453598)Instruction limit reached! 
% 16.07/6.18  % (453598)------------------------------
% 16.07/6.18  % (453598)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.07/6.18  % (453598)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.07/6.18  % (453598)CaDiCaL version: 2.1.3
% 16.07/6.18  % (453598)Termination reason: Instruction limit
% 16.07/6.18  % (453598)Termination phase: Naming
% 16.07/6.18  % (453598)Time elapsed: 0.070 s
% 16.07/6.18  % (453598)Peak memory usage: 95 MB
% 16.07/6.18  % (453598)Instructions burned: 115 (million)
% 16.07/6.18  % (453600)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=1173018676:i=127:av=off:fsr=off:sup=off_2983 on theBenchmark for (2983ds/127Mi)
% 16.07/6.18  % (453588)------------------------------
% 16.07/6.18  % (453588)------------------------------
% 16.07/6.18  % (453604)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=2467207259:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2981 on theBenchmark for (2981ds/114Mi)
% 16.07/6.18  % (453600)Instruction limit reached! 
% 16.07/6.18  % (453600)------------------------------
% 16.07/6.18  % (453600)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.07/6.18  % (453600)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.07/6.18  % (453600)CaDiCaL version: 2.1.3
% 16.07/6.18  % (453600)Termination reason: Instruction limit
% 16.07/6.18  % (453600)Termination phase: Preprocessing 3
% 16.07/6.18  % (453600)Time elapsed: 0.134 s
% 16.07/6.18  % (453600)Peak memory usage: 98 MB
% 16.07/6.18  % (453600)Instructions burned: 128 (million)
% 16.07/6.18  % (453604)Instruction limit reached! 
% 16.07/6.18  % (453604)------------------------------
% 16.07/6.18  % (453604)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.07/6.18  % (453604)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.07/6.18  % (453604)CaDiCaL version: 2.1.3
% 16.07/6.18  % (453604)Termination reason: Instruction limit
% 16.07/6.18  % (453604)Termination phase: Property scanning
% 16.07/6.18  % (453604)Time elapsed: 0.050 s
% 16.07/6.18  % (453604)Peak memory usage: 92 MB
% 16.07/6.18  % (453604)Instructions burned: 114 (million)
% 16.07/6.18  % (453606)lrs+10_1_sil=8000:sp=occurrence:random_seed=4095477104:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2979 on theBenchmark for (2979ds/907Mi)
% 16.07/6.18  % (453610)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=914742773:i=437:sd=1:aac=none:ss=included_2979 on theBenchmark for (2979ds/437Mi)
% 16.07/6.18  % (453611)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=343031370:i=5202:ss=axioms:sgt=16_2978 on theBenchmark for (2978ds/5202Mi)
% 16.07/6.18  % (453606)Instruction limit reached! 
% 16.07/6.18  % (453606)------------------------------
% 16.07/6.18  % (453606)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.07/6.18  % (453606)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.07/6.18  % (453606)CaDiCaL version: 2.1.3
% 16.07/6.18  % (453606)Termination reason: Instruction limit
% 16.07/6.18  % (453606)Termination phase: Saturation
% 16.07/6.18  % (453606)Time elapsed: 0.485 s
% 16.07/6.18  % (453606)Peak memory usage: 106 MB
% 16.07/6.18  % (453606)Instructions burned: 909 (million)
% 16.07/6.18  % (453610)Instruction limit reached! 
% 16.07/6.18  % (453610)------------------------------
% 16.07/6.18  % (453610)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.07/6.18  % (453610)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.07/6.18  % (453610)CaDiCaL version: 2.1.3
% 16.07/6.18  % (453610)Termination reason: Instruction limit
% 16.07/6.18  % (453610)Termination phase: Property scanning
% 16.07/6.18  % (453610)Time elapsed: 0.390 s
% 16.07/6.18  % (453610)Peak memory usage: 101 MB
% 16.07/6.18  % (453610)Instructions burned: 437 (million)
% 16.07/6.18  % (453621)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=2062950511:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2972 on theBenchmark for (2972ds/134Mi)
% 16.07/6.18  % (453622)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=2639620124:st=8:i=592:sd=3:ep=RST:ss=axioms_2972 on theBenchmark for (2972ds/592Mi)
% 16.07/6.18  % (453621)Instruction limit reached! 
% 16.07/6.18  % (453621)------------------------------
% 16.07/6.18  % (453621)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.07/6.18  % (453621)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.07/6.18  % (453621)CaDiCaL version: 2.1.3
% 16.07/6.18  % (453621)Termination reason: Instruction limit
% 16.07/6.18  % (453621)Termination phase: NewCNF
% 16.07/6.18  % (453621)Time elapsed: 0.085 s
% 16.07/6.18  % (453621)Peak memory usage: 97 MB
% 16.07/6.18  % (453621)Instructions burned: 134 (million)
% 16.07/6.18  % (453625)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=4224699070:st=3:i=13193:sd=3:ss=axioms_2969 on theBenchmark for (2969ds/13193Mi)
% 16.07/6.18  % (453622)Instruction limit reached! 
% 16.07/6.18  % (453622)------------------------------
% 16.07/6.18  % (453622)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.07/6.18  % (453622)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.07/6.18  % (453622)CaDiCaL version: 2.1.3
% 16.07/6.18  % (453622)Termination reason: Instruction limit
% 16.07/6.18  % (453622)Termination phase: Equality proxy
% 16.07/6.18  % (453622)Time elapsed: 0.534 s
% 16.07/6.18  % (453622)Peak memory usage: 100 MB
% 16.07/6.18  % (453622)Instructions burned: 592 (million)
% 16.07/6.18  % (453629)lrs+1666_7_slsqr=4,1:sil=8000:plsq=on:plsqc=1:sos=on:urr=on:plsql=on:rp=on:alpa=false:sac=on:slsq=on:random_seed=4206317702:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2964 on theBenchmark for (2964ds/125Mi)
% 16.07/6.18  % (453589)Instruction limit reached! 
% 16.07/6.18  % (453589)------------------------------
% 16.07/6.18  % (453589)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.07/6.18  % (453589)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.07/6.18  % (453589)CaDiCaL version: 2.1.3
% 16.07/6.18  % (453589)Termination reason: Instruction limit
% 16.07/6.18  % (453589)Termination phase: Saturation
% 16.07/6.18  % (453589)Time elapsed: 2.376 s
% 16.07/6.18  % (453589)Peak memory usage: 260 MB
% 16.07/6.18  % (453589)Instructions burned: 2352 (million)
% 16.07/6.18  % (453629)Instruction limit reached! 
% 16.07/6.18  % (453629)------------------------------
% 16.07/6.18  % (453629)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.07/6.18  % (453629)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.07/6.18  % (453629)CaDiCaL version: 2.1.3
% 16.07/6.18  % (453629)Termination reason: Instruction limit
% 16.07/6.18  % (453629)Termination phase: Property scanning
% 16.07/6.18  % (453629)Time elapsed: 0.105 s
% 16.07/6.18  % (453629)Peak memory usage: 92 MB
% 16.07/6.18  % (453629)Instructions burned: 125 (million)
% 16.07/6.18  % (453631)lrs+10_1024_to=lpo:sil=8000:tgt=full:sp=arity:slsq=on:random_seed=1006550625:i=134:gtgl=5:slsql=off:gtg=exists_sym_2960 on theBenchmark for (2960ds/134Mi)
% 16.07/6.18  % (453632)lrs+10_1_sil=16000:plsq=on:plsqc=1:plsqr=32,1:sos=on:lcm=reverse:fd=off:newcnf=on:random_seed=3530752368:i=141:sd=1:gsp=on:sup=off:ss=axioms:sgt=8_2960 on theBenchmark for (2960ds/141Mi)
% 16.07/6.18  % (453632)Refutation not found, incomplete strategy
% 16.07/6.18  % (453632)------------------------------
% 16.07/6.18  % (453632)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.07/6.18  % (453632)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.07/6.18  % (453632)CaDiCaL version: 2.1.3
% 16.07/6.18  % (453632)Termination reason: Refutation not found, incomplete strategy
% 16.07/6.18  % (453632)Time elapsed: 0.058 s
% 16.07/6.18  % (453632)Peak memory usage: 96 MB
% 16.07/6.18  % (453632)Instructions burned: 49 (million)
% 16.07/6.18  % (453631)Instruction limit reached! 
% 16.07/6.18  % (453631)------------------------------
% 16.07/6.18  % (453631)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.07/6.18  % (453631)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.07/6.18  % (453631)CaDiCaL version: 2.1.3
% 16.07/6.18  % (453631)Termination reason: Instruction limit
% 16.07/6.18  % (453631)Termination phase: Property scanning
% 16.07/6.18  % (453631)Time elapsed: 0.110 s
% 16.07/6.18  % (453631)Peak memory usage: 92 MB
% 16.07/6.18  % (453631)Instructions burned: 135 (million)
% 16.07/6.18  % (453635)lrs+1011_1_sil=8000:plsq=on:sp=occurrence:fs=off:random_seed=4152677254:i=431:sd=1:fsr=off:sup=off:ss=axioms:sgt=64_2956 on theBenchmark for (2956ds/431Mi)
% 16.07/6.18  % (453635)Refutation not found, incomplete strategy
% 16.07/6.18  % (453635)------------------------------
% 16.07/6.18  % (453635)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.07/6.18  % (453635)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.07/6.18  % (453635)CaDiCaL version: 2.1.3
% 16.07/6.18  % (453635)Termination reason: Refutation not found, incomplete strategy
% 16.07/6.18  % (453635)Time elapsed: 0.036 s
% 16.07/6.18  % (453635)Peak memory usage: 96 MB
% 16.07/6.18  % (453635)Instructions burned: 48 (million)
% 16.07/6.18  % (453632)------------------------------
% 16.07/6.18  % (453632)------------------------------
% 16.07/6.18  % (453625)First to succeed.
% 16.07/6.18  % (453625)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-453450"
% 16.07/6.18  % (453635)------------------------------
% 16.07/6.18  % (453635)------------------------------
% 16.07/6.18  % (453639)lrs+1010_1_ncem=casc2026/models/loop6.pt:sil=64000:tgt=full:npcc=on:prc=on:urr=ec_only:bsr=on:fd=preordered:gs=on:sac=on:newcnf=on:random_seed=813672445:i=6060:aac=none:ins=25_2952 on theBenchmark for (2952ds/6060Mi)
% 16.07/6.18  % (453625)Refutation found. Thanks to Tanya!
% 16.07/6.18  % SZS status Theorem for theBenchmark
% 16.07/6.18  % SZS output start Proof for theBenchmark
% See solution above
% 34.47/6.42  % (453625)------------------------------
% 34.47/6.42  % (453625)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 34.47/6.42  % (453625)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.47/6.42  % (453625)CaDiCaL version: 2.1.3
% 34.47/6.42  % (453625)Termination reason: Refutation
% 34.47/6.42  % (453625)Time elapsed: 1.731 s
% 34.47/6.42  % (453625)Peak memory usage: 190 MB
% 34.47/6.42  % (453625)Instructions burned: 3183 (million)
% 34.47/6.42  % (453625)------------------------------
% 34.47/6.42  % (453625)------------------------------
% 34.47/6.42  % (453450)Success in time 5.302 s
% 34.47/6.42  % Vampire exiting
%------------------------------------------------------------------------------