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Vampire---5.0.1.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : ITP217_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 : n013.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Tue Sep 29 11:30:27 AM UTC 2026

% Result   : Theorem 19.07s 4.07s
% Output   : Refutation 20.84s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   15
%            Number of leaves      :   18
% Syntax   : Number of formulae    :   87 (  30 unt;   0 typ;   5 def)
%            Number of atoms       :  173 (  48 equ)
%            Maximal formula atoms :    6 (   1 avg)
%            Number of connectives :  150 (  64   ~;  64   |;  10   &)
%                                         (   6 <=>;   6  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   3 avg)
%            Maximal term depth    :   10 (   2 avg)
%            Number of types       :  295 ( 294 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of predicates  :  169 ( 167 usr;   6 prp; 0-4 aty)
%            Number of functors    : 1628 (1628 usr; 367 con; 0-7 aty)
%            Number of variables   :   61 (   0 sgn  61   !;   0   ?;  61   :)

% Comments : 
%------------------------------------------------------------------------------
tff(type_def_5,type,
    fun_Co9168753396221475450atural: $tType ).

tff(type_def_6,type,
    fun_Co1105491363547889651atural: $tType ).

tff(type_def_7,type,
    fun_Co1890133979025130057atural: $tType ).

tff(type_def_8,type,
    fun_fu4272674133525273539t_bool: $tType ).

tff(type_def_9,type,
    fun_fu2754956555950464963t_bool: $tType ).

tff(type_def_10,type,
    fun_fu4800041728187187127nteger: $tType ).

tff(type_def_11,type,
    fun_he5234484606919320760it_nat: $tType ).

tff(type_def_12,type,
    fun_Pr7769407664385210434atural: $tType ).

tff(type_def_13,type,
    fun_Co5709460363461100952atural: $tType ).

tff(type_def_14,type,
    fun_bo8333701921597992569l_char: $tType ).

tff(type_def_15,type,
    fun_Co1561183069634336733nteger: $tType ).

tff(type_def_16,type,
    fun_Pr4637083014979798189l_bool: $tType ).

tff(type_def_17,type,
    fun_fu7990100517307520643t_unit: $tType ).

tff(type_def_18,type,
    fun_bo397793325678485071l_char: $tType ).

tff(type_def_19,type,
    produc6756470014200349799atural: $tType ).

tff(type_def_20,type,
    fun_fu6908345394967445887t_bool: $tType ).

tff(type_def_21,type,
    fun_fu8778301040783821591l_bool: $tType ).

tff(type_def_22,type,
    fun_fu4671764723984660721t_bool: $tType ).

tff(type_def_23,type,
    fun_fu2749353902725170073t_bool: $tType ).

tff(type_def_24,type,
    fun_fu2194082084716825453t_bool: $tType ).

tff(type_def_25,type,
    fun_Pr2477239776880934807at_nat: $tType ).

tff(type_def_26,type,
    fun_Pr1308109350235310159nt_int: $tType ).

tff(type_def_27,type,
    fun_li313415298244683037r_bool: $tType ).

tff(type_def_28,type,
    fun_fu1799018503394280658t_unit: $tType ).

tff(type_def_29,type,
    fun_Pr5876161306168176259nteger: $tType ).

tff(type_def_30,type,
    fun_li748896040850507121l_bool: $tType ).

tff(type_def_31,type,
    fun_li213583066599728606t_bool: $tType ).

tff(type_def_32,type,
    fun_li2609373428194598530t_bool: $tType ).

tff(type_def_33,type,
    fun_li1197399218159603166r_bool: $tType ).

tff(type_def_34,type,
    fun_li9008947015998503554r_bool: $tType ).

tff(type_def_35,type,
    fun_li7750400195056479216l_bool: $tType ).

tff(type_def_36,type,
    fun_li2409054529390391199t_bool: $tType ).

tff(type_def_37,type,
    fun_li4804844890985261123t_bool: $tType ).

tff(type_def_38,type,
    fun_li5675276573120102467t_bool: $tType ).

tff(type_def_39,type,
    fun_bo8101500534245302755l_char: $tType ).

tff(type_def_40,type,
    option8956607266484857688it_nat: $tType ).

tff(type_def_41,type,
    fun_fu6897202038601531823t_bool: $tType ).

tff(type_def_42,type,
    fun_fu3064074204415222357nt_int: $tType ).

tff(type_def_43,type,
    fun_fu1098312133097393581at_rat: $tType ).

tff(type_def_44,type,
    fun_na1668100129766719005at_nat: $tType ).

tff(type_def_45,type,
    fun_Co2470855966376689427nteger: $tType ).

tff(type_def_46,type,
    fun_fu3400720548862938179Heap_a: $tType ).

tff(type_def_47,type,
    set_Pr8693737435421807431at_nat: $tType ).

tff(type_def_48,type,
    fun_bo252359628945711929l_char: $tType ).

tff(type_def_49,type,
    produc8664842809031399944it_nat: $tType ).

tff(type_def_50,type,
    fun_fu813382667476268716l_bool: $tType ).

tff(type_def_51,type,
    fun_fu8159772421396582028t_bool: $tType ).

tff(type_def_52,type,
    fun_Co3025358997185726883r_bool: $tType ).

tff(type_def_53,type,
    fun_re5565935564814528228t_unit: $tType ).

tff(type_def_54,type,
    fun_fu7919257609373989805t_bool: $tType ).

tff(type_def_55,type,
    fun_fu4802881585551670701t_bool: $tType ).

tff(type_def_56,type,
    fun_Pr5837708615769641901m_bool: $tType ).

tff(type_def_57,type,
    fun_Pr248683899324676269t_bool: $tType ).

tff(type_def_58,type,
    fun_Pr3099820731930151597t_bool: $tType ).

tff(type_def_59,type,
    fun_li8010384410668617636r_bool: $tType ).

tff(type_def_60,type,
    fun_fu4828475307307880594Heap_a: $tType ).

tff(type_def_61,type,
    fun_fu4084995482221881524Heap_a: $tType ).

tff(type_def_62,type,
    fun_na8713714802964096592at_nat: $tType ).

tff(type_def_63,type,
    produc5835291356934675326atural: $tType ).

tff(type_def_64,type,
    fun_li226239312188596756l_bool: $tType ).

tff(type_def_65,type,
    fun_li2755693633749177061t_bool: $tType ).

tff(type_def_66,type,
    fun_li3442269666789727625t_bool: $tType ).

tff(type_def_67,type,
    fun_li6758484077797800677r_bool: $tType ).

tff(type_def_68,type,
    fun_li5586212896732264841r_bool: $tType ).

tff(type_def_69,type,
    fun_fu6750301411456490045r_bool: $tType ).

tff(type_def_70,type,
    produc859450856879609959at_nat: $tType ).

tff(type_def_71,type,
    fun_li1159781111665813011l_bool: $tType ).

tff(type_def_72,type,
    fun_li7545607332453900070t_bool: $tType ).

tff(type_def_73,type,
    fun_li8232183365494450634t_bool: $tType ).

tff(type_def_74,type,
    fun_li9223120564235649482t_bool: $tType ).

tff(type_def_75,type,
    fun_Pr5417461343077184813t_unit: $tType ).

tff(type_def_76,type,
    fun_bo250947935745040205l_char: $tType ).

tff(type_def_77,type,
    fun_fu2868497722653781188t_bool: $tType ).

tff(type_def_78,type,
    fun_na4786964484885125043t_bool: $tType ).

tff(type_def_79,type,
    fun_fu7460908759652350970nt_rat: $tType ).

tff(type_def_80,type,
    fun_fu2005298298577998622l_bool: $tType ).

tff(type_def_81,type,
    fun_na4143055713577223196at_nat: $tType ).

tff(type_def_82,type,
    fun_in2204242111582549184nt_int: $tType ).

tff(type_def_83,type,
    fun_Co6597186368970283863nteger: $tType ).

tff(type_def_84,type,
    fun_fu4363814643544856579Heap_a: $tType ).

tff(type_def_85,type,
    fun_fu8172925815900240338r_bool: $tType ).

tff(type_def_86,type,
    fun_Pr2118491707810114563at_nat: $tType ).

tff(type_def_87,type,
    fun_Pr2478283820680522243nt_int: $tType ).

tff(type_def_88,type,
    fun_fu9002003029984831279l_bool: $tType ).

tff(type_def_89,type,
    fun_fu7495562154832025027t_bool: $tType ).

tff(type_def_90,type,
    fun_fu6924846375782198887atural: $tType ).

tff(type_def_91,type,
    fun_fu6921880696561781257nteger: $tType ).

tff(type_def_92,type,
    fun_Co7333321365496032713r_bool: $tType ).

tff(type_def_93,type,
    fun_fu5827305053654988013l_bool: $tType ).

tff(type_def_94,type,
    fun_fu7925731147167280621l_bool: $tType ).

tff(type_def_95,type,
    fun_fu9051297857939674819t_bool: $tType ).

tff(type_def_96,type,
    fun_fu5970656269460422159t_bool: $tType ).

tff(type_def_97,type,
    fun_fu8467804991414204575t_bool: $tType ).

tff(type_def_98,type,
    fun_Co6813818151677833714atural: $tType ).

tff(type_def_99,type,
    fun_Co1981900195452921617nteger: $tType ).

tff(type_def_100,type,
    fun_bo8295548925090689571l_char: $tType ).

tff(type_def_101,type,
    fun_fu5641360819561228055l_bool: $tType ).

tff(type_def_102,type,
    fun_li8666427833891403271r_bool: $tType ).

tff(type_def_103,type,
    fun_Pr5932607294251420486t_bool: $tType ).

tff(type_def_104,type,
    fun_Pr3145601080792579042t_bool: $tType ).

tff(type_def_105,type,
    fun_na4827981024643048934t_bool: $tType ).

tff(type_def_106,type,
    fun_na4138050610385705875at_nat: $tType ).

tff(type_def_107,type,
    fun_in1696471567231710611nt_int: $tType ).

tff(type_def_108,type,
    fun_fu4708731997093370859l_bool: $tType ).

tff(type_def_109,type,
    fun_fu3561611792623449554r_bool: $tType ).

tff(type_def_110,type,
    fun_li5591682779239346907l_bool: $tType ).

tff(type_def_111,type,
    fun_li941802030747080648t_bool: $tType ).

tff(type_def_112,type,
    fun_li3246207939727701100t_bool: $tType ).

tff(type_def_113,type,
    fun_li4510401072603889608r_bool: $tType ).

tff(type_def_114,type,
    fun_li7776623116333600876r_bool: $tType ).

tff(type_def_115,type,
    fun_fu3380082687118895412nteger: $tType ).

tff(type_def_116,type,
    produc6653097349344004940it_nat: $tType ).

tff(type_def_117,type,
    fun_li6875962081873459290l_bool: $tType ).

tff(type_def_118,type,
    fun_Pr292408699144966967t_unit: $tType ).

tff(type_def_119,type,
    fun_li8598321315282354825t_bool: $tType ).

tff(type_def_120,type,
    fun_li1679355187408199469t_bool: $tType ).

tff(type_def_121,type,
    fun_li7501238334638356269t_bool: $tType ).

tff(type_def_122,type,
    fun_li582272206764200913t_bool: $tType ).

tff(type_def_123,type,
    fun_se3032438776331272065t_bool: $tType ).

tff(type_def_124,type,
    fun_se593059424582005380nt_rat: $tType ).

tff(type_def_125,type,
    fun_ra7314870381713115802nt_int: $tType ).

tff(type_def_126,type,
    fun_fu7344326129191042041r_bool: $tType ).

tff(type_def_127,type,
    fun_Co9170264581657726457l_bool: $tType ).

tff(type_def_128,type,
    fun_Co8310303586393106575r_bool: $tType ).

tff(type_def_129,type,
    fun_na607345901702507418atural: $tType ).

tff(type_def_130,type,
    fun_na7078387940644931716nteger: $tType ).

tff(type_def_131,type,
    fun_Co8521658056209057742er_num: $tType ).

tff(type_def_132,type,
    fun_Co3583066429914935172er_nat: $tType ).

tff(type_def_133,type,
    fun_Co1092983284983208416er_int: $tType ).

tff(type_def_134,type,
    set_se6260736226359567993nt_int: $tType ).

tff(type_def_135,type,
    produc7822875418678951345atural: $tType ).

tff(type_def_136,type,
    produc8923325533196201883nteger: $tType ).

tff(type_def_137,type,
    fun_fu3889889255038636099t_bool: $tType ).

tff(type_def_138,type,
    fun_fu7822069302422884163t_bool: $tType ).

tff(type_def_139,type,
    fun_na3408937105440547634t_bool: $tType ).

tff(type_def_140,type,
    fun_in6148020733644367646t_bool: $tType ).

tff(type_def_141,type,
    fun_na3244735409550470327at_nat: $tType ).

tff(type_def_142,type,
    fun_na7595719129879163854on_num: $tType ).

tff(type_def_143,type,
    fun_Co4129272462331242167l_char: $tType ).

tff(type_def_144,type,
    fun_Pr7757163693017731481t_bool: $tType ).

tff(type_def_145,type,
    fun_Pr803113274115125473t_bool: $tType ).

tff(type_def_146,type,
    fun_ra4503298312962071866nt_int: $tType ).

tff(type_def_147,type,
    fun_Pr2602117396471556196at_nat: $tType ).

tff(type_def_148,type,
    fun_Pr7647638413817135296at_int: $tType ).

tff(type_def_149,type,
    fun_Pr1652463973008025892nt_rat: $tType ).

tff(type_def_150,type,
    fun_na5614638261385347865t_bool: $tType ).

tff(type_def_151,type,
    fun_na1476630412504255114at_nat: $tType ).

tff(type_def_152,type,
    fun_in4514472496968388910at_nat: $tType ).

tff(type_def_153,type,
    fun_in4211310926729683942nt_int: $tType ).

tff(type_def_154,type,
    fun_fu8408893963819803632l_bool: $tType ).

tff(type_def_155,type,
    fun_na819858167508000762st_nat: $tType ).

tff(type_def_156,type,
    fun_a_2990225006182978344t_unit: $tType ).

tff(type_def_157,type,
    fun_Pr5215307506330550056Heap_a: $tType ).

tff(type_def_158,type,
    fun_na5042103099923536755t_bool: $tType ).

tff(type_def_159,type,
    fun_in5519481650651148416r_bool: $tType ).

tff(type_def_160,type,
    fun_Co6299454908631939665t_bool: $tType ).

tff(type_def_161,type,
    fun_Co8657364630979331932t_bool: $tType ).

tff(type_def_162,type,
    filter1242075044329608583at_nat: $tType ).

tff(type_def_163,type,
    fun_nu2537414170016844299nteger: $tType ).

tff(type_def_164,type,
    produc7417142470700560111r_bool: $tType ).

tff(type_def_165,type,
    set_Pr1261947904930325089at_nat: $tType ).

tff(type_def_166,type,
    set_Pr958786334691620121nt_int: $tType ).

tff(type_def_167,type,
    fun_ch9086500746998582951r_bool: $tType ).

tff(type_def_168,type,
    fun_Co7398788559141407565atural: $tType ).

tff(type_def_169,type,
    fun_Co2940338738630218498nteger: $tType ).

tff(type_def_170,type,
    fun_Co3734316457315071362atural: $tType ).

tff(type_def_171,type,
    fun_Co8499238673658658103nteger: $tType ).

tff(type_def_172,type,
    heap_T6374562886178639292y_bool: $tType ).

tff(type_def_173,type,
    heap_T3836121109492952855ay_nat: $tType ).

tff(type_def_174,type,
    heap_T1346037964561226099ay_int: $tType ).

tff(type_def_175,type,
    fun_ch2742614267150243304t_bool: $tType ).

tff(type_def_176,type,
    fun_ch2282331315503596684t_bool: $tType ).

tff(type_def_177,type,
    fun_na6281512180173406824r_bool: $tType ).

tff(type_def_178,type,
    fun_in892379244202657548r_bool: $tType ).

tff(type_def_179,type,
    fun_bo1841576699660343469l_bool: $tType ).

tff(type_def_180,type,
    fun_fu7168253649841883962l_bool: $tType ).

tff(type_def_181,type,
    fun_fu3953691263982683030l_bool: $tType ).

tff(type_def_182,type,
    fun_Pr2191293291710260995t_unit: $tType ).

tff(type_def_183,type,
    fun_na9137082442855928016l_bool: $tType ).

tff(type_def_184,type,
    fun_bo3288154511880838028t_bool: $tType ).

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

tff(type_def_203,type,
    heap_T5738788834812785303t_unit: $tType ).

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

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

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

tff(type_def_207,type,
    fun_a_6093291656547882009Heap_a: $tType ).

tff(type_def_208,type,
    heap_e7401611519738050253t_unit: $tType ).

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

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

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

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

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

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

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

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

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

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

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

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

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

tff(type_def_222,type,
    fun_Co7175331531449502024l_bool: $tType ).

tff(type_def_223,type,
    fun_Co8822979462182099027r_bool: $tType ).

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

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

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

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

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

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

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

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

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

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

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

tff(type_def_235,type,
    fun_Pr1572506220757514509t_bool: $tType ).

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

tff(func_def_0,type,
    aTP_Lamm_a: fun_Pr5215307506330550056Heap_a ).

tff(func_def_1,type,
    aTP_Lamm_aa: fun_Pr5215307506330550056Heap_a > fun_fu1799018503394280658t_unit ).

tff(func_def_2,type,
    aTP_Lamm_ab: fun_a_2990225006182978344t_unit > fun_fu4084995482221881524Heap_a ).

tff(func_def_3,type,
    aTP_Lamm_ac: fun_Pr292408699144966967t_unit > fun_fu7990100517307520643t_unit ).

tff(func_def_4,type,
    aTP_Lamm_ad: fun_a_6093291656547882009Heap_a > fun_fu4363814643544856579Heap_a ).

tff(func_def_5,type,
    aTP_Lamm_ae: fun_Pr5215307506330550056Heap_a > fun_fu4828475307307880594Heap_a ).

tff(func_def_6,type,
    aTP_Lamm_af: fun_Pr292408699144966967t_unit > fun_fu3400720548862938179Heap_a ).

tff(func_def_7,type,
    aTP_Lamm_ag: set_Pr1261947904930325089at_nat > fun_Pr7757163693017731481t_bool ).

tff(func_def_8,type,
    aTP_Lamm_ah: set_list_nat > fun_list_nat_bool ).

tff(func_def_9,type,
    aTP_Lamm_ai: set_se6260736226359567993nt_int > fun_se3032438776331272065t_bool ).

tff(func_def_10,type,
    aTP_Lamm_aj: set_set_nat > fun_set_nat_bool ).

tff(func_def_11,type,
    aTP_Lamm_ak: set_nat > fun_nat_bool ).

tff(func_def_12,type,
    aTP_Lamm_al: set_int > fun_int_bool ).

tff(func_def_13,type,
    aTP_Lamm_am: heap_Time_Heap_a > fun_Pr5215307506330550056Heap_a ).

tff(func_def_14,type,
    aTP_Lamm_an: heap_T5738788834812785303t_unit > fun_Pr292408699144966967t_unit ).

tff(func_def_15,type,
    aTP_Lamm_ao: fun_int_int ).

tff(func_def_16,type,
    aTP_Lamm_ap: fun_nat_nat ).

tff(func_def_17,type,
    aTP_Lamm_aq: fun_Co8499238673658658103nteger ).

tff(func_def_18,type,
    aTP_Lamm_ar: fun_rat_rat ).

tff(func_def_19,type,
    aTP_Lamm_as: fun_Co7398788559141407565atural ).

tff(func_def_20,type,
    aTP_Lamm_at: set_Pr1261947904930325089at_nat > fun_fu6897202038601531823t_bool ).

tff(func_def_21,type,
    aTP_Lamm_au: set_se6260736226359567993nt_int > fun_fu6908345394967445887t_bool ).

tff(func_def_22,type,
    aTP_Lamm_av: set_set_nat > fun_fu7495562154832025027t_bool ).

tff(func_def_23,type,
    aTP_Lamm_aw: set_nat > fun_fu3889889255038636099t_bool ).

tff(func_def_24,type,
    aTP_Lamm_ax: set_int > fun_fu7822069302422884163t_bool ).

tff(func_def_25,type,
    aTP_Lamm_ay: product_unit > fun_fu3400720548862938179Heap_a ).

tff(func_def_26,type,
    aTP_Lamm_az: product_unit > fun_fu7990100517307520643t_unit ).

tff(func_def_27,type,
    aTP_Lamm_ba: a > fun_fu4828475307307880594Heap_a ).

tff(func_def_28,type,
    aTP_Lamm_bb: fun_Product_unit_a > fun_Pr5215307506330550056Heap_a ).

tff(func_def_29,type,
    aTP_Lamm_bc: fun_Pr2191293291710260995t_unit > fun_Pr292408699144966967t_unit ).

tff(func_def_30,type,
    aTP_Lamm_bd: fun_a_a > fun_a_6093291656547882009Heap_a ).

tff(func_def_31,type,
    aTP_Lamm_be: fun_Pr2191293291710260995t_unit > fun_Pr5417461343077184813t_unit ).

tff(func_def_32,type,
    aTP_Lamm_bf: fun_Pr2191293291710260995t_unit > fun_re5565935564814528228t_unit ).

tff(func_def_33,type,
    aTP_Lamm_bg: fun_nat_fun_nat_bool ).

tff(func_def_34,type,
    aTP_Lamm_bh: fun_nat_fun_nat_bool ).

tff(func_def_35,type,
    aTP_Lamm_bi: fun_nat_fun_nat_nat ).

tff(func_def_36,type,
    aTP_Lamm_bj: fun_int_fun_nat_nat ).

tff(func_def_37,type,
    aTP_Lamm_bk: fun_bool_fun_nat_nat ).

tff(func_def_38,type,
    aTP_Lamm_bl: fun_Co7398788559141407565atural ).

tff(func_def_39,type,
    aTP_Lamm_bm: fun_Co8499238673658658103nteger ).

tff(func_def_40,type,
    aTP_Lamm_bn: fun_rat_rat ).

tff(func_def_41,type,
    aTP_Lamm_bo: fun_nat_nat ).

tff(func_def_42,type,
    aTP_Lamm_bp: fun_int_int ).

tff(func_def_43,type,
    aTP_Lamm_bq: fun_Co7398788559141407565atural ).

tff(func_def_44,type,
    aTP_Lamm_br: fun_Co8499238673658658103nteger ).

tff(func_def_45,type,
    aTP_Lamm_bs: fun_rat_rat ).

tff(func_def_46,type,
    aTP_Lamm_bt: fun_nat_nat ).

tff(func_def_47,type,
    aTP_Lamm_bu: fun_int_int ).

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

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

tff(func_def_50,type,
    aTP_Lamm_bx: code_integer > fun_na7078387940644931716nteger ).

tff(func_def_51,type,
    aTP_Lamm_by: rat > fun_nat_fun_rat_rat ).

tff(func_def_52,type,
    aTP_Lamm_bz: code_natural > fun_na607345901702507418atural ).

tff(func_def_53,type,
    aTP_Lamm_ca: nat > fun_nat_fun_nat_nat ).

tff(func_def_54,type,
    aTP_Lamm_cb: fun_nat_fun_nat_bool ).

tff(func_def_55,type,
    aTP_Lamm_cc: fun_int_fun_int_bool ).

tff(func_def_56,type,
    aTP_Lamm_cd: fun_nat_fun_nat_bool ).

tff(func_def_57,type,
    aTP_Lamm_ce: fun_nat_fun_nat_bool ).

tff(func_def_58,type,
    aTP_Lamm_cf: fun_nat_fun_nat_nat ).

tff(func_def_59,type,
    aTP_Lamm_cg: fun_nat_fun_nat_nat ).

tff(func_def_60,type,
    aTP_Lamm_ch: fun_nat_fun_nat_nat ).

tff(func_def_61,type,
    aTP_Lamm_ci: nat > fun_nat_fun_nat_nat ).

tff(func_def_62,type,
    aTP_Lamm_cj: nat > fun_na3244735409550470327at_nat ).

tff(func_def_63,type,
    aTP_Lamm_ck: nat > fun_na3244735409550470327at_nat ).

tff(func_def_64,type,
    aTP_Lamm_cl: fun_nat_fun_nat_nat ).

tff(func_def_65,type,
    aTP_Lamm_cm: fun_nat_fun_nat_nat ).

tff(func_def_66,type,
    aTP_Lamm_cn: nat > fun_nat_fun_nat_nat ).

tff(func_def_67,type,
    aTP_Lamm_co: fun_nat_bool > fun_nat_fun_nat_bool ).

tff(func_def_68,type,
    aTP_Lamm_cp: fun_nat_nat > fun_nat_fun_nat_bool ).

tff(func_def_69,type,
    aTP_Lamm_cq: fun_nat_bool ).

tff(func_def_70,type,
    aTP_Lamm_cr: fun_nat_bool ).

tff(func_def_71,type,
    aTP_Lamm_cs: fun_nat_fun_nat_bool ).

tff(func_def_72,type,
    aTP_Lamm_ct: int > fun_int_fun_int_bool ).

tff(func_def_73,type,
    aTP_Lamm_cu: int > fun_int_fun_int_bool ).

tff(func_def_74,type,
    aTP_Lamm_cv: int > fun_int_fun_int_bool ).

tff(func_def_75,type,
    aTP_Lamm_cw: int > fun_int_fun_int_bool ).

tff(func_def_76,type,
    aTP_Lamm_cx: fun_int_fun_int_bool ).

tff(func_def_77,type,
    aTP_Lamm_cy: fun_nat_fun_nat_nat ).

tff(func_def_78,type,
    aTP_Lamm_cz: fun_nat_fun_nat_nat ).

tff(func_def_79,type,
    aTP_Lamm_da: set_nat > fun_nat_fun_nat_bool ).

tff(func_def_80,type,
    aTP_Lamm_db: set_nat > fun_nat_fun_nat_bool ).

tff(func_def_81,type,
    aTP_Lamm_dc: num > fun_num_int ).

tff(func_def_82,type,
    aTP_Lamm_dd: fun_num_option_num ).

tff(func_def_83,type,
    aTP_Lamm_de: fun_int_nat ).

tff(func_def_84,type,
    aTP_Lamm_df: int > fun_int_int ).

tff(func_def_85,type,
    aTP_Lamm_dg: code_integer > fun_Co8499238673658658103nteger ).

tff(func_def_86,type,
    aTP_Lamm_dh: fun_nat_fun_nat_nat ).

tff(func_def_87,type,
    aTP_Lamm_di: fun_num_option_num ).

tff(func_def_88,type,
    aTP_Lamm_dj: fun_Co3583066429914935172er_nat ).

tff(func_def_89,type,
    aTP_Lamm_dk: fun_Co8521658056209057742er_num ).

tff(func_def_90,type,
    aTP_Lamm_dl: fun_Co1092983284983208416er_int ).

tff(func_def_91,type,
    aTP_Lamm_dm: int > fun_int_fun_int_bool ).

tff(func_def_92,type,
    aTP_Lamm_dn: int > fun_int_fun_int_bool ).

tff(func_def_93,type,
    aTP_Lamm_do: fun_int_fun_int_int ).

tff(func_def_94,type,
    aTP_Lamm_dp: num > fun_Co2470855966376689427nteger ).

tff(func_def_95,type,
    aTP_Lamm_dq: num > fun_na4138050610385705875at_nat ).

tff(func_def_96,type,
    aTP_Lamm_dr: num > fun_in1696471567231710611nt_int ).

tff(func_def_97,type,
    aTP_Lamm_ds: nat > fun_num_option_num ).

tff(func_def_98,type,
    aTP_Lamm_dt: nat > fun_num_option_num ).

tff(func_def_99,type,
    aTP_Lamm_du: num > fun_nat_option_num ).

tff(func_def_100,type,
    aTP_Lamm_dv: fun_na7595719129879163854on_num ).

tff(func_def_101,type,
    aTP_Lamm_dw: fun_na4138050610385705875at_nat ).

tff(func_def_102,type,
    aTP_Lamm_dx: code_integer > fun_Co2470855966376689427nteger ).

tff(func_def_103,type,
    aTP_Lamm_dy: code_integer > fun_Co2470855966376689427nteger ).

tff(func_def_104,type,
    aTP_Lamm_dz: code_integer > fun_Co2470855966376689427nteger ).

tff(func_def_105,type,
    aTP_Lamm_ea: code_integer > fun_Co3025358997185726883r_bool ).

tff(func_def_106,type,
    aTP_Lamm_eb: nat > fun_na4143055713577223196at_nat ).

tff(func_def_107,type,
    aTP_Lamm_ec: fun_na1668100129766719005at_nat ).

tff(func_def_108,type,
    aTP_Lamm_ed: fun_na4138050610385705875at_nat ).

tff(func_def_109,type,
    aTP_Lamm_ee: nat > fun_na3408937105440547634t_bool ).

tff(func_def_110,type,
    aTP_Lamm_ef: fun_na4786964484885125043t_bool ).

tff(func_def_111,type,
    aTP_Lamm_eg: nat > fun_na3408937105440547634t_bool ).

tff(func_def_112,type,
    aTP_Lamm_eh: fun_na4786964484885125043t_bool ).

tff(func_def_113,type,
    aTP_Lamm_ei: nat > fun_na4143055713577223196at_nat ).

tff(func_def_114,type,
    aTP_Lamm_ej: fun_na1668100129766719005at_nat ).

tff(func_def_115,type,
    aTP_Lamm_ek: nat > fun_na4143055713577223196at_nat ).

tff(func_def_116,type,
    aTP_Lamm_el: fun_na1668100129766719005at_nat ).

tff(func_def_117,type,
    aTP_Lamm_em: int > fun_in2204242111582549184nt_int ).

tff(func_def_118,type,
    aTP_Lamm_en: rat > fun_in1696471567231710611nt_int ).

tff(func_def_119,type,
    aTP_Lamm_eo: int > fun_in2204242111582549184nt_int ).

tff(func_def_120,type,
    aTP_Lamm_ep: rat > fun_in1696471567231710611nt_int ).

tff(func_def_121,type,
    aTP_Lamm_eq: fun_in1696471567231710611nt_int ).

tff(func_def_122,type,
    aTP_Lamm_er: fun_in1696471567231710611nt_int ).

tff(func_def_123,type,
    aTP_Lamm_es: int > fun_in6148020733644367646t_bool ).

tff(func_def_124,type,
    aTP_Lamm_et: rat > fun_int_fun_int_bool ).

tff(func_def_125,type,
    aTP_Lamm_eu: int > fun_in6148020733644367646t_bool ).

tff(func_def_126,type,
    aTP_Lamm_ev: rat > fun_int_fun_int_bool ).

tff(func_def_127,type,
    aTP_Lamm_ew: int > fun_in2204242111582549184nt_int ).

tff(func_def_128,type,
    aTP_Lamm_ex: rat > fun_in1696471567231710611nt_int ).

tff(func_def_129,type,
    aTP_Lamm_ey: int > fun_in2204242111582549184nt_int ).

tff(func_def_130,type,
    aTP_Lamm_ez: rat > fun_in1696471567231710611nt_int ).

tff(func_def_131,type,
    aTP_Lamm_fa: fun_in1696471567231710611nt_int ).

tff(func_def_132,type,
    aTP_Lamm_fb: fun_nat_fun_nat_nat ).

tff(func_def_133,type,
    aTP_Lamm_fc: fun_nat_nat ).

tff(func_def_134,type,
    aTP_Lamm_fd: nat > fun_na5614638261385347865t_bool ).

tff(func_def_135,type,
    aTP_Lamm_fe: nat > fun_na5614638261385347865t_bool ).

tff(func_def_136,type,
    aTP_Lamm_ff: nat > fun_na5614638261385347865t_bool ).

tff(func_def_137,type,
    aTP_Lamm_fg: rat > fun_int_bool ).

tff(func_def_138,type,
    aTP_Lamm_fh: fun_nat_fun_nat_nat ).

tff(func_def_139,type,
    aTP_Lamm_fi: fun_nat_fun_nat_nat ).

tff(func_def_140,type,
    aTP_Lamm_fj: fun_nat_fun_nat_nat ).

tff(func_def_141,type,
    aTP_Lamm_fk: fun_Pr803113274115125473t_bool ).

tff(func_def_142,type,
    aTP_Lamm_fl: fun_Pr1308109350235310159nt_int ).

tff(func_def_143,type,
    aTP_Lamm_fm: fun_Pr2478283820680522243nt_int ).

tff(func_def_144,type,
    aTP_Lamm_fn: fun_in1696471567231710611nt_int ).

tff(func_def_145,type,
    aTP_Lamm_fo: fun_Pr2478283820680522243nt_int ).

tff(func_def_146,type,
    aTP_Lamm_fp: fun_Pr1308109350235310159nt_int ).

tff(func_def_147,type,
    aTP_Lamm_fq: fun_int_int ).

tff(func_def_148,type,
    aTP_Lamm_fr: fun_num_fun_num_int ).

tff(func_def_149,type,
    aTP_Lamm_fs: fun_nat_fun_nat_nat ).

tff(func_def_150,type,
    aTP_Lamm_ft: fun_nat_set_nat ).

tff(func_def_151,type,
    aTP_Lamm_fu: nat > fun_nat_fun_nat_bool ).

tff(func_def_152,type,
    aTP_Lamm_fv: nat > fun_nat_fun_nat_bool ).

tff(func_def_153,type,
    aTP_Lamm_fw: int > fun_int_fun_int_bool ).

tff(func_def_154,type,
    aTP_Lamm_fx: nat > fun_na5042103099923536755t_bool ).

tff(func_def_155,type,
    aTP_Lamm_fy: fun_nat_fun_nat_bool ).

tff(func_def_156,type,
    aTP_Lamm_fz: fun_nat_fun_nat_nat ).

tff(func_def_157,type,
    aTP_Lamm_ga: rat > fun_Pr803113274115125473t_bool ).

tff(func_def_158,type,
    aTP_Lamm_gb: fun_na1476630412504255114at_nat ).

tff(func_def_159,type,
    aTP_Lamm_gc: nat > fun_na3408937105440547634t_bool ).

tff(func_def_160,type,
    aTP_Lamm_gd: fun_na4786964484885125043t_bool ).

tff(func_def_161,type,
    aTP_Lamm_ge: fun_nat_bool > fun_nat_bool ).

tff(func_def_162,type,
    aTP_Lamm_gf: set_int > fun_int_bool ).

tff(func_def_163,type,
    aTP_Lamm_gg: fun_nat_bool > fun_nat_fun_nat_bool ).

tff(func_def_164,type,
    aTP_Lamm_gh: bool > fun_bo8333701921597992569l_char ).

tff(func_def_165,type,
    aTP_Lamm_gi: bool > fun_bo397793325678485071l_char ).

tff(func_def_166,type,
    aTP_Lamm_gj: bool > fun_bo8101500534245302755l_char ).

tff(func_def_167,type,
    aTP_Lamm_gk: bool > fun_bo252359628945711929l_char ).

tff(func_def_168,type,
    aTP_Lamm_gl: bool > fun_bo250947935745040205l_char ).

tff(func_def_169,type,
    aTP_Lamm_gm: bool > fun_bo8295548925090689571l_char ).

tff(func_def_170,type,
    aTP_Lamm_gn: bool > fun_Co4129272462331242167l_char ).

tff(func_def_171,type,
    aTP_Lamm_go: fun_Co4129272462331242167l_char ).

tff(func_def_172,type,
    aTP_Lamm_gp: nat > fun_he5234484606919320760it_nat ).

tff(func_def_173,type,
    aTP_Lamm_gq: code_natural > fun_Co9168753396221475450atural ).

tff(func_def_174,type,
    aTP_Lamm_gr: produc7822875418678951345atural > fun_Co1890133979025130057atural ).

tff(func_def_175,type,
    aTP_Lamm_gs: code_natural > fun_Co1105491363547889651atural ).

tff(func_def_176,type,
    aTP_Lamm_gt: fun_Co1105491363547889651atural ).

tff(func_def_177,type,
    aTP_Lamm_gu: code_natural > fun_Co1105491363547889651atural ).

tff(func_def_178,type,
    aTP_Lamm_gv: fun_na819858167508000762st_nat ).

tff(func_def_179,type,
    aTP_Lamm_gw: fun_Pr2118491707810114563at_nat ).

tff(func_def_180,type,
    aTP_Lamm_gx: fun_Pr803113274115125473t_bool ).

tff(func_def_181,type,
    aTP_Lamm_gy: fun_se3032438776331272065t_bool ).

tff(func_def_182,type,
    archim2889992004027027881ng_rat: fun_rat_int ).

tff(func_def_183,type,
    archim3151403230148437115or_rat: fun_rat_int ).

tff(func_def_184,type,
    archimedean_frac_rat: fun_rat_rat ).

tff(func_def_185,type,
    array_make_bool: ( nat * fun_nat_bool ) > heap_T6374562886178639292y_bool ).

tff(func_def_186,type,
    array_make_int: ( nat * fun_nat_int ) > heap_T1346037964561226099ay_int ).

tff(func_def_187,type,
    array_make_nat: ( nat * fun_nat_nat ) > heap_T3836121109492952855ay_nat ).

tff(func_def_188,type,
    array_7872002506669749220t_unit: ( array_Product_unit * nat ) > heap_T5738788834812785303t_unit ).

tff(func_def_189,type,
    array_of_list_bool: list_bool > heap_T6374562886178639292y_bool ).

tff(func_def_190,type,
    array_of_list_int: list_int > heap_T1346037964561226099ay_int ).

tff(func_def_191,type,
    array_of_list_nat: list_nat > heap_T3836121109492952855ay_nat ).

tff(func_def_192,type,
    bNF_Ca8459412986667044542atLess: set_Pr1261947904930325089at_nat ).

tff(func_def_193,type,
    bNF_re3324582151780938536l_bool: ( fun_in5519481650651148416r_bool * fun_bo1841576699660343469l_bool ) > fun_fu2005298298577998622l_bool ).

tff(func_def_194,type,
    bNF_re3379532845092657523nteger: ( fun_in5519481650651148416r_bool * fun_in5519481650651148416r_bool ) > fun_fu6750301411456490045r_bool ).

tff(func_def_195,type,
    bNF_re9007465950226028919l_bool: ( fun_int_fun_int_bool * fun_bo1841576699660343469l_bool ) > fun_fu7925731147167280621l_bool ).

tff(func_def_196,type,
    bNF_re4712519889275205905nt_int: ( fun_int_fun_int_bool * fun_int_fun_int_bool ) > fun_fu8467804991414204575t_bool ).

tff(func_def_197,type,
    bNF_re6250860962936578807nt_int: ( fun_int_fun_int_bool * fun_Pr3099820731930151597t_bool ) > fun_fu2194082084716825453t_bool ).

tff(func_def_198,type,
    bNF_re2214769303045360666nt_rat: ( fun_int_fun_int_bool * fun_Pr3145601080792579042t_bool ) > fun_fu8159772421396582028t_bool ).

tff(func_def_199,type,
    bNF_re6223507645442431167l_bool: ( fun_nat_fun_nat_bool * fun_bo1841576699660343469l_bool ) > fun_fu5827305053654988013l_bool ).

tff(func_def_200,type,
    bNF_re5653821019739307937at_nat: ( fun_nat_fun_nat_bool * fun_nat_fun_nat_bool ) > fun_fu5970656269460422159t_bool ).

tff(func_def_201,type,
    bNF_re6501075790457514782nteger: ( fun_num_fun_num_bool * fun_in5519481650651148416r_bool ) > fun_fu8172925815900240338r_bool ).

tff(func_def_202,type,
    bNF_re1822329894187522285nt_int: ( fun_num_fun_num_bool * fun_int_fun_int_bool ) > fun_fu9051297857939674819t_bool ).

tff(func_def_203,type,
    bNF_re7145576690424134365nt_int: ( fun_Pr3099820731930151597t_bool * fun_Pr3099820731930151597t_bool ) > fun_fu2754956555950464963t_bool ).

tff(func_def_204,type,
    bNF_re8279943556446156061nt_rat: ( fun_Pr3145601080792579042t_bool * fun_Pr3145601080792579042t_bool ) > fun_fu2749353902725170073t_bool ).

tff(func_def_205,type,
    bNF_re1498568104593929552l_bool: ( fun_Pr5932607294251420486t_bool * fun_bo1841576699660343469l_bool ) > fun_fu813382667476268716l_bool ).

tff(func_def_206,type,
    bNF_re7400052026677387805at_int: ( fun_Pr5932607294251420486t_bool * fun_Pr5932607294251420486t_bool ) > fun_fu4671764723984660721t_bool ).

tff(func_def_207,type,
    bNF_re3189209160384574813l_bool: ( fun_Pr248683899324676269t_bool * fun_bo1841576699660343469l_bool ) > fun_fu8778301040783821591l_bool ).

tff(func_def_208,type,
    bNF_re2241393799969408733at_nat: ( fun_Pr248683899324676269t_bool * fun_Pr248683899324676269t_bool ) > fun_fu4272674133525273539t_bool ).

tff(func_def_209,type,
    basic_1567116559311922317nt_int: ( fun_int_bool * fun_int_bool ) > fun_Pr803113274115125473t_bool ).

tff(func_def_210,type,
    basic_570253317919918037at_nat: ( fun_nat_bool * fun_nat_bool ) > fun_Pr7757163693017731481t_bool ).

tff(func_def_211,type,
    basic_4387203522000727145nt_int: ( fun_int_fun_int_bool * fun_int_fun_int_bool ) > fun_Pr3099820731930151597t_bool ).

tff(func_def_212,type,
    basic_5328504652464829177at_nat: ( fun_nat_fun_nat_bool * fun_nat_fun_nat_bool ) > fun_Pr248683899324676269t_bool ).

tff(func_def_213,type,
    binomial: fun_nat_fun_nat_nat ).

tff(func_def_214,type,
    gbinom8545251970709558553nteger: code_integer > fun_nat_Code_integer ).

tff(func_def_215,type,
    gbinom7368847122466276068atural: ( code_natural * nat ) > code_natural ).

tff(func_def_216,type,
    gbinomial_int: int > fun_nat_int ).

tff(func_def_217,type,
    gbinomial_nat: fun_nat_fun_nat_nat ).

tff(func_def_218,type,
    gbinomial_rat: rat > fun_nat_rat ).

tff(func_def_219,type,
    bit_and_int_rel: fun_Pr3099820731930151597t_bool ).

tff(func_def_220,type,
    bit_and_not_num: ( num * num ) > option_num ).

tff(func_def_221,type,
    bit_and_not_num_rel: fun_Pr5837708615769641901m_bool ).

tff(func_def_222,type,
    bit_concat_bit: ( nat * int * int ) > int ).

tff(func_def_223,type,
    bit_or_not_num_neg: num > fun_num_num ).

tff(func_def_224,type,
    bit_ri7632146776885996613nteger: fun_Co8499238673658658103nteger ).

tff(func_def_225,type,
    bit_ri7919022796975470100ot_int: fun_int_int ).

tff(func_def_226,type,
    bit_ri631733984087533419it_int: ( nat * int ) > int ).

tff(func_def_227,type,
    bit_se3949692690581998587nteger: fun_Co1981900195452921617nteger ).

tff(func_def_228,type,
    bit_se2773287842338716102atural: fun_Co6813818151677833714atural ).

tff(func_def_229,type,
    bit_se725231765392027082nd_int: fun_int_fun_int_int ).

tff(func_def_230,type,
    bit_se727722235901077358nd_nat: fun_nat_fun_nat_nat ).

tff(func_def_231,type,
    bit_se3928097537394005634nteger: fun_na7078387940644931716nteger ).

tff(func_def_232,type,
    bit_se2751692689150723149atural: fun_na607345901702507418atural ).

tff(func_def_233,type,
    bit_se8568078237143864401it_int: fun_nat_fun_int_int ).

tff(func_def_234,type,
    bit_se8570568707652914677it_nat: fun_nat_fun_nat_nat ).

tff(func_def_235,type,
    bit_se1345352211410354436nteger: fun_na7078387940644931716nteger ).

tff(func_def_236,type,
    bit_se168947363167071951atural: fun_na607345901702507418atural ).

tff(func_def_237,type,
    bit_se2159334234014336723it_int: fun_nat_fun_int_int ).

tff(func_def_238,type,
    bit_se2161824704523386999it_nat: fun_nat_fun_nat_nat ).

tff(func_def_239,type,
    bit_se2119862282449309892nteger: fun_nat_Code_integer ).

tff(func_def_240,type,
    bit_se943457434206027407atural: fun_nat_Code_natural ).

tff(func_def_241,type,
    bit_se2000444600071755411sk_int: fun_nat_int ).

tff(func_def_242,type,
    bit_se2002935070580805687sk_nat: fun_nat_nat ).

tff(func_def_243,type,
    bit_se1080825931792720795nteger: fun_Co1981900195452921617nteger ).

tff(func_def_244,type,
    bit_se9127793120404214118atural: fun_Co6813818151677833714atural ).

tff(func_def_245,type,
    bit_se1409905431419307370or_int: fun_int_fun_int_int ).

tff(func_def_246,type,
    bit_se1412395901928357646or_nat: fun_nat_fun_nat_nat ).

tff(func_def_247,type,
    bit_se7788150548672797655nteger: fun_na7078387940644931716nteger ).

tff(func_def_248,type,
    bit_se6611745700429515170atural: fun_na607345901702507418atural ).

tff(func_def_249,type,
    bit_se545348938243370406it_int: fun_nat_fun_int_int ).

tff(func_def_250,type,
    bit_se547839408752420682it_nat: fun_nat_fun_nat_nat ).

tff(func_def_251,type,
    bit_se2793503036327961859nteger: fun_na7078387940644931716nteger ).

tff(func_def_252,type,
    bit_se1617098188084679374atural: fun_na607345901702507418atural ).

tff(func_def_253,type,
    bit_se7879613467334960850it_int: fun_nat_fun_int_int ).

tff(func_def_254,type,
    bit_se7882103937844011126it_nat: fun_nat_fun_nat_nat ).

tff(func_def_255,type,
    bit_se1745604003318907178nteger: fun_na7078387940644931716nteger ).

tff(func_def_256,type,
    bit_se569199155075624693atural: fun_na607345901702507418atural ).

tff(func_def_257,type,
    bit_se2923211474154528505it_int: fun_nat_fun_int_int ).

tff(func_def_258,type,
    bit_se2925701944663578781it_nat: fun_nat_fun_nat_nat ).

tff(func_def_259,type,
    bit_se8260200283734997820nteger: fun_na7078387940644931716nteger ).

tff(func_def_260,type,
    bit_se7083795435491715335atural: fun_na607345901702507418atural ).

tff(func_def_261,type,
    bit_se4203085406695923979it_int: fun_nat_fun_int_int ).

tff(func_def_262,type,
    bit_se4205575877204974255it_nat: fun_nat_fun_nat_nat ).

tff(func_def_263,type,
    bit_se3222712562003087583nteger: fun_Co1981900195452921617nteger ).

tff(func_def_264,type,
    bit_se2046307713759805098atural: fun_Co6813818151677833714atural ).

tff(func_def_265,type,
    bit_se6526347334894502574or_int: fun_int_fun_int_int ).

tff(func_def_266,type,
    bit_se6528837805403552850or_nat: fun_nat_fun_nat_nat ).

tff(func_def_267,type,
    bit_se9216721137139052372nteger: fun_Co8657364630979331932t_bool ).

tff(func_def_268,type,
    bit_se8040316288895769887atural: fun_Co6299454908631939665t_bool ).

tff(func_def_269,type,
    bit_se1146084159140164899it_int: fun_int_fun_nat_bool ).

tff(func_def_270,type,
    bit_se1148574629649215175it_nat: fun_nat_fun_nat_bool ).

tff(func_def_271,type,
    bit_take_bit_num: ( nat * num ) > option_num ).

tff(func_def_272,type,
    bit_un7362597486090784418nd_num: ( num * num ) > option_num ).

tff(func_def_273,type,
    bit_un4731106466462545111um_rel: fun_Pr5837708615769641901m_bool ).

tff(func_def_274,type,
    code_Nat: fun_Co3734316457315071362atural ).

tff(func_def_275,type,
    code_Neg: fun_num_Code_integer ).

tff(func_def_276,type,
    code_Suc: fun_Co7398788559141407565atural ).

tff(func_def_277,type,
    code_bit_cut_integer: code_integer > produc7417142470700560111r_bool ).

tff(func_def_278,type,
    code_divmod_abs: ( code_integer * code_integer ) > produc8923325533196201883nteger ).

tff(func_def_279,type,
    code_divmod_integer: ( code_integer * code_integer ) > produc8923325533196201883nteger ).

tff(func_def_280,type,
    code_dup: fun_Co8499238673658658103nteger ).

tff(func_def_281,type,
    code_int_of_integer: fun_Code_integer_int ).

tff(func_def_282,type,
    code_integer_of_int: fun_int_Code_integer ).

tff(func_def_283,type,
    code_integer_of_nat: fun_nat_Code_integer ).

tff(func_def_284,type,
    code_i5400310926305786745atural: fun_Co2940338738630218498nteger ).

tff(func_def_285,type,
    code_integer_of_num: fun_num_Code_integer ).

tff(func_def_286,type,
    code_nat_of_integer: fun_Code_integer_nat ).

tff(func_def_287,type,
    code_nat_of_natural: fun_Code_natural_nat ).

tff(func_def_288,type,
    code_natural_of_nat: fun_nat_Code_natural ).

tff(func_def_289,type,
    code_n4118661773612635043nteger: fun_Co3734316457315071362atural ).

tff(func_def_290,type,
    code_negative: fun_num_Code_integer ).

tff(func_def_291,type,
    code_num_of_integer: fun_Code_integer_num ).

tff(func_def_292,type,
    code_pcr_integer: fun_in5519481650651148416r_bool ).

tff(func_def_293,type,
    code_positive: fun_num_Code_integer ).

tff(func_def_294,type,
    code_size_nat: fun_Code_natural_nat ).

tff(func_def_295,type,
    code_sub: fun_nu2537414170016844299nteger ).

tff(func_def_296,type,
    complete_Inf_Inf_nat: set_nat > nat ).

tff(func_def_297,type,
    comple7806235888213564991et_nat: set_set_nat > set_nat ).

tff(func_def_298,type,
    complete_Sup_Sup_int: set_int > int ).

tff(func_def_299,type,
    complete_Sup_Sup_nat: set_nat > nat ).

tff(func_def_300,type,
    comple7399068483239264473et_nat: set_set_nat > set_nat ).

tff(func_def_301,type,
    adjust_div: product_prod_int_int > int ).

tff(func_def_302,type,
    adjust_mod: ( int * int ) > int ).

tff(func_def_303,type,
    divmod_nat: ( nat * nat ) > product_prod_nat_nat ).

tff(func_def_304,type,
    eucl_rel_int: ( int * int ) > fun_Pr803113274115125473t_bool ).

tff(func_def_305,type,
    unique3479559517661332726nteger: ( num * num ) > produc8923325533196201883nteger ).

tff(func_def_306,type,
    unique5052692396658037445od_int: ( num * num ) > product_prod_int_int ).

tff(func_def_307,type,
    unique5055182867167087721od_nat: ( num * num ) > product_prod_nat_nat ).

tff(func_def_308,type,
    unique4921790084139445826nteger: ( num * produc8923325533196201883nteger ) > produc8923325533196201883nteger ).

tff(func_def_309,type,
    unique5024387138958732305ep_int: ( num * product_prod_int_int ) > product_prod_int_int ).

tff(func_def_310,type,
    unique5026877609467782581ep_nat: ( num * product_prod_nat_nat ) > product_prod_nat_nat ).

tff(func_def_311,type,
    euclid6377331345833325938nteger: fun_Code_integer_nat ).

tff(func_def_312,type,
    euclid5200926497590043453atural: fun_Code_natural_nat ).

tff(func_def_313,type,
    euclid4774559944035922753ze_int: fun_int_nat ).

tff(func_def_314,type,
    euclid4777050414544973029ze_nat: fun_nat_nat ).

tff(func_def_315,type,
    euclid6289375185220004616nteger: fun_Co8499238673658658103nteger ).

tff(func_def_316,type,
    euclid5112970336976722131atural: fun_Co7398788559141407565atural ).

tff(func_def_317,type,
    euclid3395696857347342551nt_int: fun_int_int ).

tff(func_def_318,type,
    euclid3398187327856392827nt_nat: fun_nat_nat ).

tff(func_def_319,type,
    comm_s8582702949713902594nteger: code_integer > fun_nat_Code_integer ).

tff(func_def_320,type,
    comm_s7406298101470620109atural: ( code_natural * nat ) > code_natural ).

tff(func_def_321,type,
    comm_s4660882817536571857er_int: int > fun_nat_int ).

tff(func_def_322,type,
    comm_s4663373288045622133er_nat: fun_nat_fun_nat_nat ).

tff(func_def_323,type,
    comm_s4028243227959126397er_rat: rat > fun_nat_rat ).

tff(func_def_324,type,
    semiri3624122377584611663nteger: fun_nat_Code_integer ).

tff(func_def_325,type,
    semiri2447717529341329178atural: nat > code_natural ).

tff(func_def_326,type,
    semiri1406184849735516958ct_int: fun_nat_int ).

tff(func_def_327,type,
    semiri1408675320244567234ct_nat: fun_nat_nat ).

tff(func_def_328,type,
    semiri773545260158071498ct_rat: fun_nat_rat ).

tff(func_def_329,type,
    inverse_inverse_rat: fun_rat_rat ).

tff(func_def_330,type,
    at_top_nat: filter_nat ).

tff(func_def_331,type,
    finite3254316476582989077op_nat: set_nat > filter_set_nat ).

tff(func_def_332,type,
    prod_filter_nat_nat: ( filter_nat * filter_nat ) > filter1242075044329608583at_nat ).

tff(func_def_333,type,
    finite_card_int: set_int > nat ).

tff(func_def_334,type,
    finite_card_list_nat: set_list_nat > nat ).

tff(func_def_335,type,
    finite_card_nat: set_nat > nat ).

tff(func_def_336,type,
    finite410649719033368117t_unit: set_Product_unit > nat ).

tff(func_def_337,type,
    finite_card_set_nat: set_set_nat > nat ).

tff(func_def_338,type,
    finite_finite_nat: fun_set_nat_bool ).

tff(func_def_339,type,
    bij_betw_nat_nat: ( fun_nat_nat * set_nat ) > fun_set_nat_bool ).

tff(func_def_340,type,
    comp_C3531382070062128313er_num: ( fun_Co8499238673658658103nteger * fun_num_Code_integer ) > fun_num_Code_integer ).

tff(func_def_341,type,
    comp_C7848664941760151970nteger: ( fun_Co1561183069634336733nteger * fun_Co8499238673658658103nteger * code_integer ) > fun_Pr5876161306168176259nteger ).

tff(func_def_342,type,
    comp_int_nat_int: ( fun_int_nat * fun_int_int ) > fun_int_nat ).

tff(func_def_343,type,
    comp_nat_num_int: ( fun_nat_num * fun_int_nat ) > fun_int_num ).

tff(func_def_344,type,
    comp_f6739083541385432444nteger: ( fun_fu4800041728187187127nteger * fun_Co1981900195452921617nteger ) > fun_Co1561183069634336733nteger ).

tff(func_def_345,type,
    id_bool: fun_bool_bool ).

tff(func_def_346,type,
    id_int: fun_int_int ).

tff(func_def_347,type,
    id_nat: fun_nat_nat ).

tff(func_def_348,type,
    id_num: fun_num_num ).

tff(func_def_349,type,
    id_fun_nat_bool: fun_fu3889889255038636099t_bool ).

tff(func_def_350,type,
    inj_on_nat_nat: fun_nat_nat > fun_set_nat_bool ).

tff(func_def_351,type,
    inj_on_nat_char: fun_nat_char > fun_set_nat_bool ).

tff(func_def_352,type,
    map_fu6396621194128205665l_bool: ( fun_Code_integer_int * fun_bool_bool ) > fun_fu3561611792623449554r_bool ).

tff(func_def_353,type,
    map_fu2599414010547811884nteger: ( fun_Code_integer_int * fun_int_Code_integer ) > fun_fu6921880696561781257nteger ).

tff(func_def_354,type,
    map_fu1051355602067684763atural: ( fun_Code_integer_int * fun_nat_Code_natural * fun_int_nat ) > fun_Co3734316457315071362atural ).

tff(func_def_355,type,
    map_fu6539832666145259331at_nat: ( fun_Code_integer_int * fun_nat_nat * fun_int_nat ) > fun_Code_integer_nat ).

tff(func_def_356,type,
    map_fu1227494855608507351um_num: ( fun_Code_integer_int * fun_num_num * fun_int_num ) > fun_Code_integer_num ).

tff(func_def_357,type,
    map_fu1404520703793252016r_bool: ( fun_Code_integer_int * fun_fu3561611792623449554r_bool * fun_int_fun_int_bool ) > fun_Co8310303586393106575r_bool ).

tff(func_def_358,type,
    map_fu1034890151506530863nteger: ( fun_Code_integer_int * fun_fu6921880696561781257nteger * fun_int_fun_int_int ) > fun_Co1981900195452921617nteger ).

tff(func_def_359,type,
    map_fu7981381284939422625t_bool: ( fun_Code_integer_int * fun_fu3889889255038636099t_bool * fun_int_fun_nat_bool ) > fun_Co8657364630979331932t_bool ).

tff(func_def_360,type,
    map_fu3095037182338179920l_bool: ( fun_Code_natural_nat * fun_bool_bool ) > fun_fu4708731997093370859l_bool ).

tff(func_def_361,type,
    map_fu2787874002554666395nteger: ( fun_Code_natural_nat * fun_int_Code_integer * fun_nat_int ) > fun_Co2940338738630218498nteger ).

tff(func_def_362,type,
    map_fu1239815594074539274atural: ( fun_Code_natural_nat * fun_nat_Code_natural ) > fun_fu6924846375782198887atural ).

tff(func_def_363,type,
    map_fu226235371393106610at_nat: ( fun_Code_natural_nat * fun_nat_nat * fun_nat_nat ) > fun_Code_natural_nat ).

tff(func_def_364,type,
    map_fu675752389954593592l_bool: ( fun_Code_natural_nat * fun_fu4708731997093370859l_bool * fun_nat_fun_nat_bool ) > fun_Co9170264581657726457l_bool ).

tff(func_def_365,type,
    map_fu2099429406741865360t_bool: ( fun_Code_natural_nat * fun_fu3889889255038636099t_bool * fun_nat_fun_nat_bool ) > fun_Co6299454908631939665t_bool ).

tff(func_def_366,type,
    map_fu7613509917203888380atural: ( fun_Code_natural_nat * fun_fu6924846375782198887atural * fun_nat_fun_nat_nat ) > fun_Co6813818151677833714atural ).

tff(func_def_367,type,
    map_fu3424225382358772769nt_rat: ( fun_int_int * fun_Pr1652463973008025892nt_rat ) > fun_fu7460908759652350970nt_rat ).

tff(func_def_368,type,
    map_fu7945985449245211511nt_rat: ( fun_int_int * fun_fu7460908759652350970nt_rat * fun_in1696471567231710611nt_int ) > fun_int_fun_int_rat ).

tff(func_def_369,type,
    map_fu6608131713810608381l_bool: ( fun_in4514472496968388910at_nat * fun_bool_bool ) > fun_fu2868497722653781188t_bool ).

tff(func_def_370,type,
    map_fu2345160673673942751at_nat: ( fun_in4514472496968388910at_nat * fun_nat_nat * fun_Pr2602117396471556196at_nat ) > fun_int_nat ).

tff(func_def_371,type,
    map_fu3667384564859982768at_int: ( fun_in4514472496968388910at_nat * fun_Pr7647638413817135296at_int ) > fun_fu3064074204415222357nt_int ).

tff(func_def_372,type,
    map_fu2743658913401090412t_bool: ( fun_in4514472496968388910at_nat * fun_fu2868497722653781188t_bool * fun_Pr248683899324676269t_bool ) > fun_int_fun_int_bool ).

tff(func_def_373,type,
    map_fu8294830438409148311nt_int: ( fun_in4514472496968388910at_nat * fun_fu3064074204415222357nt_int * fun_Pr2477239776880934807at_nat ) > fun_int_fun_int_int ).

tff(func_def_374,type,
    map_fu6290471996055670595nteger: ( fun_nat_nat * fun_int_Code_integer * fun_nat_int ) > fun_nat_Code_integer ).

tff(func_def_375,type,
    map_fu4742413587575543474atural: ( fun_nat_nat * fun_nat_Code_natural * fun_nat_nat ) > fun_nat_Code_natural ).

tff(func_def_376,type,
    map_fu214667362969451334nteger: ( fun_nat_nat * fun_fu6921880696561781257nteger * fun_nat_fun_int_int ) > fun_na7078387940644931716nteger ).

tff(func_def_377,type,
    map_fu5588224966615042724atural: ( fun_nat_nat * fun_fu6924846375782198887atural * fun_nat_fun_nat_nat ) > fun_na607345901702507418atural ).

tff(func_def_378,type,
    map_fu8638147718074629079nteger: ( fun_num_num * fun_int_Code_integer ) > fun_fu3380082687118895412nteger ).

tff(func_def_379,type,
    map_fu8540202848259802501nteger: ( fun_num_num * fun_fu3380082687118895412nteger * fun_num_fun_num_int ) > fun_nu2537414170016844299nteger ).

tff(func_def_380,type,
    map_fu5118516228767806217l_bool: ( fun_ra4503298312962071866nt_int * fun_bool_bool * fun_Pr803113274115125473t_bool ) > fun_rat_bool ).

tff(func_def_381,type,
    map_fu5673905371560938248nt_rat: ( fun_ra4503298312962071866nt_int * fun_Pr1652463973008025892nt_rat ) > fun_fu1098312133097393581at_rat ).

tff(func_def_382,type,
    map_fu5968964422797239547at_rat: ( fun_ra4503298312962071866nt_int * fun_fu1098312133097393581at_rat * fun_Pr1308109350235310159nt_int ) > fun_rat_fun_rat_rat ).

tff(func_def_383,type,
    fun_pair_leq: set_Pr8693737435421807431at_nat ).

tff(func_def_384,type,
    fun_pair_less: set_Pr8693737435421807431at_nat ).

tff(func_def_385,type,
    gcd_Gcd_int: set_int > int ).

tff(func_def_386,type,
    gcd_Gcd_nat: set_nat > nat ).

tff(func_def_387,type,
    bezw: ( nat * nat ) > product_prod_int_int ).

tff(func_def_388,type,
    bezw_rel: fun_Pr248683899324676269t_bool ).

tff(func_def_389,type,
    gcd_gcd_Code_integer: fun_Co1981900195452921617nteger ).

tff(func_def_390,type,
    gcd_gcd_int: fun_int_fun_int_int ).

tff(func_def_391,type,
    gcd_gcd_nat: fun_nat_fun_nat_nat ).

tff(func_def_392,type,
    gcd_lcm_Code_integer: code_integer > fun_Co8499238673658658103nteger ).

tff(func_def_393,type,
    gcd_lcm_int: ( int * int ) > int ).

tff(func_def_394,type,
    gcd_lcm_nat: fun_nat_fun_nat_nat ).

tff(func_def_395,type,
    gcd_nat_rel: fun_Pr248683899324676269t_bool ).

tff(func_def_396,type,
    abs_abs_Code_integer: fun_Co8499238673658658103nteger ).

tff(func_def_397,type,
    abs_abs_int: fun_int_int ).

tff(func_def_398,type,
    abs_abs_rat: fun_rat_rat ).

tff(func_def_399,type,
    minus_8373710615458151222nteger: fun_Co1981900195452921617nteger ).

tff(func_def_400,type,
    minus_7197305767214868737atural: fun_Co6813818151677833714atural ).

tff(func_def_401,type,
    minus_minus_int: fun_int_fun_int_int ).

tff(func_def_402,type,
    minus_minus_nat: fun_nat_fun_nat_nat ).

tff(func_def_403,type,
    minus_minus_rat: rat > fun_rat_rat ).

tff(func_def_404,type,
    minus_minus_set_nat: ( set_nat * set_nat ) > set_nat ).

tff(func_def_405,type,
    one_one_Code_integer: code_integer ).

tff(func_def_406,type,
    one_one_Code_natural: code_natural ).

tff(func_def_407,type,
    one_one_int: int ).

tff(func_def_408,type,
    one_one_nat: nat ).

tff(func_def_409,type,
    one_one_rat: rat ).

tff(func_def_410,type,
    plus_p5714425477246183910nteger: fun_Co1981900195452921617nteger ).

tff(func_def_411,type,
    plus_p4538020629002901425atural: fun_Co6813818151677833714atural ).

tff(func_def_412,type,
    plus_plus_int: fun_int_fun_int_int ).

tff(func_def_413,type,
    plus_plus_nat: fun_nat_fun_nat_nat ).

tff(func_def_414,type,
    plus_plus_num: num > fun_num_num ).

tff(func_def_415,type,
    plus_plus_rat: fun_rat_fun_rat_rat ).

tff(func_def_416,type,
    sgn_sgn_Code_integer: fun_Co8499238673658658103nteger ).

tff(func_def_417,type,
    sgn_sgn_int: fun_int_int ).

tff(func_def_418,type,
    sgn_sgn_rat: fun_rat_rat ).

tff(func_def_419,type,
    times_3573771949741848930nteger: fun_Co1981900195452921617nteger ).

tff(func_def_420,type,
    times_2397367101498566445atural: fun_Co6813818151677833714atural ).

tff(func_def_421,type,
    times_times_int: fun_int_fun_int_int ).

tff(func_def_422,type,
    times_times_nat: fun_nat_fun_nat_nat ).

tff(func_def_423,type,
    times_times_num: num > fun_num_num ).

tff(func_def_424,type,
    times_times_rat: fun_rat_fun_rat_rat ).

tff(func_def_425,type,
    uminus1351360451143612070nteger: fun_Co8499238673658658103nteger ).

tff(func_def_426,type,
    uminus_uminus_int: fun_int_int ).

tff(func_def_427,type,
    uminus_uminus_rat: fun_rat_rat ).

tff(func_def_428,type,
    uminus5710092332889474511et_nat: set_nat > set_nat ).

tff(func_def_429,type,
    zero_z3403309356797280102nteger: code_integer ).

tff(func_def_430,type,
    zero_z2226904508553997617atural: code_natural ).

tff(func_def_431,type,
    zero_zero_int: int ).

tff(func_def_432,type,
    zero_zero_nat: nat ).

tff(func_def_433,type,
    zero_zero_rat: rat ).

tff(func_def_434,type,
    groups4538972089207619220nt_int: ( fun_int_int * set_int ) > int ).

tff(func_def_435,type,
    groups3542108847815614940at_nat: ( fun_nat_nat * set_nat ) > nat ).

tff(func_def_436,type,
    groups1705073143266064639nt_int: ( fun_int_int * set_int ) > int ).

tff(func_def_437,type,
    groups705719431365010083at_int: ( fun_nat_int * set_nat ) > int ).

tff(func_def_438,type,
    groups708209901874060359at_nat: ( fun_nat_nat * set_nat ) > nat ).

tff(func_def_439,type,
    groups4048646594741130792ol_int: ( fun_bool_int * int * list_bool ) > int ).

tff(func_def_440,type,
    groups4561878855575611511st_nat: list_nat > nat ).

tff(func_def_441,type,
    nO_MAT8252062027627875367nteger: fun_Co8310303586393106575r_bool ).

tff(func_def_442,type,
    nO_MAT7795273704451493282er_rat: code_integer > fun_rat_bool ).

tff(func_def_443,type,
    nO_MAT9066612773553876470nteger: int > fun_Co8822979462182099027r_bool ).

tff(func_def_444,type,
    nO_MATCH_int_int: fun_int_fun_int_bool ).

tff(func_def_445,type,
    nO_MATCH_int_nat: fun_int_fun_nat_bool ).

tff(func_def_446,type,
    nO_MATCH_int_rat: int > fun_rat_bool ).

tff(func_def_447,type,
    nO_MAT8694959213317031834nteger: nat > fun_Co8822979462182099027r_bool ).

tff(func_def_448,type,
    nO_MATCH_nat_int: fun_nat_fun_int_bool ).

tff(func_def_449,type,
    nO_MATCH_nat_nat: fun_nat_fun_nat_bool ).

tff(func_def_450,type,
    nO_MATCH_nat_rat: nat > fun_rat_bool ).

tff(func_def_451,type,
    nO_MATCH_rat_rat: fun_rat_fun_rat_bool ).

tff(func_def_452,type,
    the_int: fun_int_bool > int ).

tff(func_def_453,type,
    the_Pr4378521158711661632nt_int: fun_Pr803113274115125473t_bool > product_prod_int_int ).

tff(func_def_454,type,
    heap_T6183433275982383450t_unit: fun_he5234484606919320760it_nat > heap_T5738788834812785303t_unit ).

tff(func_def_455,type,
    heap_T2633723481742716231t_unit: ( heap_T5738788834812785303t_unit * fun_Pr292408699144966967t_unit ) > heap_T5738788834812785303t_unit ).

tff(func_def_456,type,
    heap_T757603679106148408unit_a: ( heap_T5738788834812785303t_unit * fun_Pr5215307506330550056Heap_a ) > heap_Time_Heap_a ).

tff(func_def_457,type,
    heap_T8685611227969916822t_unit: ( heap_Time_Heap_a * fun_a_2990225006182978344t_unit ) > heap_T5738788834812785303t_unit ).

tff(func_def_458,type,
    heap_Time_bind_a_a: ( heap_Time_Heap_a * fun_a_6093291656547882009Heap_a ) > heap_Time_Heap_a ).

tff(func_def_459,type,
    heap_T875086893843062177t_unit: ( heap_T5738788834812785303t_unit * heap_e7401611519738050253t_unit ) > option8956607266484857688it_nat ).

tff(func_def_460,type,
    heap_T7011250591035762645t_unit: fun_Pr2191293291710260995t_unit > fun_Pr292408699144966967t_unit ).

tff(func_def_461,type,
    heap_T6901581777565460678unit_a: fun_Product_unit_a > fun_Pr5215307506330550056Heap_a ).

tff(func_def_462,type,
    heap_Time_lift_a_a: fun_a_a > fun_a_6093291656547882009Heap_a ).

tff(func_def_463,type,
    heap_T2927564422264180874t_unit: list_char > heap_T5738788834812785303t_unit ).

tff(func_def_464,type,
    heap_Time_raise_a: list_char > heap_Time_Heap_a ).

tff(func_def_465,type,
    heap_T7507251653302230130t_unit: fun_Pr292408699144966967t_unit ).

tff(func_def_466,type,
    heap_Time_return_a: fun_a_6093291656547882009Heap_a ).

tff(func_def_467,type,
    heap_T4284346855313245393t_unit: fun_Pr292408699144966967t_unit ).

tff(func_def_468,type,
    heap_Time_ureturn_a: fun_a_6093291656547882009Heap_a ).

tff(func_def_469,type,
    heap_Time_wait: nat > heap_T5738788834812785303t_unit ).

tff(func_def_470,type,
    if_Code_integer: ( bool * code_integer ) > fun_Co8499238673658658103nteger ).

tff(func_def_471,type,
    if_Hea8138950348631371857t_unit: ( bool * heap_T5738788834812785303t_unit * heap_T5738788834812785303t_unit ) > heap_T5738788834812785303t_unit ).

tff(func_def_472,type,
    if_Heap_Time_Heap_a: ( bool * heap_Time_Heap_a * heap_Time_Heap_a ) > heap_Time_Heap_a ).

tff(func_def_473,type,
    if_int: ( bool * int * int ) > int ).

tff(func_def_474,type,
    if_nat: bool > fun_nat_fun_nat_nat ).

tff(func_def_475,type,
    if_num: ( bool * num ) > fun_num_num ).

tff(func_def_476,type,
    if_Pro6119634080678213985nteger: ( bool * produc8923325533196201883nteger * produc8923325533196201883nteger ) > produc8923325533196201883nteger ).

tff(func_def_477,type,
    if_Pro3027730157355071871nt_int: ( bool * product_prod_int_int * product_prod_int_int ) > product_prod_int_int ).

tff(func_def_478,type,
    if_Pro6206227464963214023at_nat: ( bool * product_prod_nat_nat * product_prod_nat_nat ) > product_prod_nat_nat ).

tff(func_def_479,type,
    infini8530281810654367211te_nat: set_nat > fun_nat_nat ).

tff(func_def_480,type,
    abs_Integ: fun_Pr7647638413817135296at_int ).

tff(func_def_481,type,
    rep_Integ: fun_in4514472496968388910at_nat ).

tff(func_def_482,type,
    cr_int: fun_Pr5932607294251420486t_bool ).

tff(func_def_483,type,
    int_ge_less_than: int > set_Pr958786334691620121nt_int ).

tff(func_def_484,type,
    int_ge_less_than2: int > set_Pr958786334691620121nt_int ).

tff(func_def_485,type,
    intrel: fun_Pr248683899324676269t_bool ).

tff(func_def_486,type,
    nat2: fun_int_nat ).

tff(func_def_487,type,
    pcr_int: fun_Pr5932607294251420486t_bool ).

tff(func_def_488,type,
    power_int_rat: rat > fun_int_rat ).

tff(func_def_489,type,
    ring_11222124179247155820nteger: set_Code_integer ).

tff(func_def_490,type,
    ring_1_Ints_int: set_int ).

tff(func_def_491,type,
    ring_1_Ints_rat: set_rat ).

tff(func_def_492,type,
    ring_18347121197199848620nteger: fun_int_Code_integer ).

tff(func_def_493,type,
    ring_1_of_int_int: fun_int_int ).

tff(func_def_494,type,
    ring_1_of_int_rat: fun_int_rat ).

tff(func_def_495,type,
    inf_inf_int: fun_int_fun_int_int ).

tff(func_def_496,type,
    inf_inf_nat: fun_nat_fun_nat_nat ).

tff(func_def_497,type,
    inf_in4513820918327576947t_bool: ( fun_Pr803113274115125473t_bool * fun_Pr803113274115125473t_bool ) > fun_Pr803113274115125473t_bool ).

tff(func_def_498,type,
    sup_sup_int: fun_int_fun_int_int ).

tff(func_def_499,type,
    sup_sup_nat: fun_nat_fun_nat_nat ).

tff(func_def_500,type,
    sup_sup_set_nat: ( set_nat * set_nat ) > set_nat ).

tff(func_def_501,type,
    lattic8263393255366662781ax_int: set_int > int ).

tff(func_def_502,type,
    lattic8265883725875713057ax_nat: set_nat > nat ).

tff(func_def_503,type,
    append_int: ( list_int * list_int ) > list_int ).

tff(func_def_504,type,
    append_nat: ( list_nat * list_nat ) > list_nat ).

tff(func_def_505,type,
    butlast_nat: list_nat > list_nat ).

tff(func_def_506,type,
    drop_nat: ( nat * list_nat ) > list_nat ).

tff(func_def_507,type,
    filter_nat2: ( fun_nat_bool * list_nat ) > list_nat ).

tff(func_def_508,type,
    fold_int_int: ( fun_int_fun_int_int * list_int * int ) > int ).

tff(func_def_509,type,
    fold_nat_nat: ( fun_nat_fun_nat_nat * list_nat ) > fun_nat_nat ).

tff(func_def_510,type,
    foldr_bool_nat: ( fun_bool_fun_nat_nat * list_bool ) > fun_nat_nat ).

tff(func_def_511,type,
    foldr_int_nat: ( fun_int_fun_nat_nat * list_int ) > fun_nat_nat ).

tff(func_def_512,type,
    foldr_nat_nat: ( fun_nat_fun_nat_nat * list_nat ) > fun_nat_nat ).

tff(func_def_513,type,
    gen_length_bool: nat > fun_list_bool_nat ).

tff(func_def_514,type,
    gen_length_int: nat > fun_list_int_nat ).

tff(func_def_515,type,
    gen_length_nat: nat > fun_list_nat_nat ).

tff(func_def_516,type,
    last_nat: list_nat > nat ).

tff(func_def_517,type,
    linord1735203802627413978nt_int: ( fun_int_int * list_int ) > list_int ).

tff(func_def_518,type,
    linord738340561235409698at_nat: ( fun_nat_nat * list_nat ) > list_nat ).

tff(func_def_519,type,
    linord2614967742042102400et_nat: set_nat > list_nat ).

tff(func_def_520,type,
    cons_bool: ( bool * list_bool ) > list_bool ).

tff(func_def_521,type,
    cons_int: ( int * list_int ) > list_int ).

tff(func_def_522,type,
    cons_nat: ( nat * list_nat ) > list_nat ).

tff(func_def_523,type,
    cons_num: ( num * list_num ) > list_num ).

tff(func_def_524,type,
    cons_rat: ( rat * list_rat ) > list_rat ).

tff(func_def_525,type,
    cons_char: ( char * list_char ) > list_char ).

tff(func_def_526,type,
    nil_bool: list_bool ).

tff(func_def_527,type,
    nil_int: list_int ).

tff(func_def_528,type,
    nil_nat: list_nat ).

tff(func_def_529,type,
    nil_num: list_num ).

tff(func_def_530,type,
    nil_rat: list_rat ).

tff(func_def_531,type,
    nil_char: list_char ).

tff(func_def_532,type,
    map_nat_nat: ( fun_nat_nat * list_nat ) > list_nat ).

tff(func_def_533,type,
    set_int2: list_int > set_int ).

tff(func_def_534,type,
    set_nat2: list_nat > set_nat ).

tff(func_def_535,type,
    nth_Code_integer: list_Code_integer > fun_nat_Code_integer ).

tff(func_def_536,type,
    nth_bool: list_bool > fun_nat_bool ).

tff(func_def_537,type,
    nth_int: list_int > fun_nat_int ).

tff(func_def_538,type,
    nth_nat: list_nat > fun_nat_nat ).

tff(func_def_539,type,
    nth_num: list_num > fun_nat_num ).

tff(func_def_540,type,
    nth_rat: list_rat > fun_nat_rat ).

tff(func_def_541,type,
    nth_char: ( list_char * nat ) > char ).

tff(func_def_542,type,
    rotate1_bool: list_bool > list_bool ).

tff(func_def_543,type,
    rotate1_int: list_int > list_int ).

tff(func_def_544,type,
    rotate1_nat: list_nat > list_nat ).

tff(func_def_545,type,
    rotate_bool: ( nat * list_bool ) > list_bool ).

tff(func_def_546,type,
    rotate_int: ( nat * list_int ) > list_int ).

tff(func_def_547,type,
    rotate_nat: ( nat * list_nat ) > list_nat ).

tff(func_def_548,type,
    sorted_wrt_bool: fun_bo1841576699660343469l_bool > fun_list_bool_bool ).

tff(func_def_549,type,
    sorted_wrt_int: fun_int_fun_int_bool > fun_list_int_bool ).

tff(func_def_550,type,
    sorted_wrt_nat: fun_nat_fun_nat_bool > fun_list_nat_bool ).

tff(func_def_551,type,
    take_nat: ( nat * list_nat ) > list_nat ).

tff(func_def_552,type,
    upt: ( nat * nat ) > list_nat ).

tff(func_def_553,type,
    upto: ( int * int ) > list_int ).

tff(func_def_554,type,
    upto_aux: ( int * int * list_int ) > list_int ).

tff(func_def_555,type,
    upto_rel: fun_Pr3099820731930151597t_bool ).

tff(func_def_556,type,
    slice_bool: ( nat * nat * list_bool ) > list_bool ).

tff(func_def_557,type,
    slice_int: ( nat * nat * list_int ) > list_int ).

tff(func_def_558,type,
    slice_nat: ( nat * nat * list_nat ) > list_nat ).

tff(func_def_559,type,
    slice_char: ( nat * nat * list_char ) > list_char ).

tff(func_def_560,type,
    mset_nat: list_nat > multiset_nat ).

tff(func_def_561,type,
    mset_set_nat: set_nat > multiset_nat ).

tff(func_def_562,type,
    suc: fun_nat_nat ).

tff(func_def_563,type,
    compow_fun_nat_nat: ( nat * fun_nat_nat ) > fun_nat_nat ).

tff(func_def_564,type,
    case_nat_bool: ( bool * fun_nat_bool ) > fun_nat_bool ).

tff(func_def_565,type,
    case_nat_nat: ( nat * fun_nat_nat ) > fun_nat_nat ).

tff(func_def_566,type,
    case_nat_option_num: ( option_num * fun_nat_option_num * nat ) > option_num ).

tff(func_def_567,type,
    pred: fun_nat_nat ).

tff(func_def_568,type,
    semiring_1_Nats_int: set_int ).

tff(func_def_569,type,
    semiri4939895301339042750nteger: fun_nat_Code_integer ).

tff(func_def_570,type,
    semiri3763490453095760265atural: fun_nat_Code_natural ).

tff(func_def_571,type,
    semiri1314217659103216013at_int: fun_nat_int ).

tff(func_def_572,type,
    semiri1316708129612266289at_nat: fun_nat_nat ).

tff(func_def_573,type,
    semiri681578069525770553at_rat: fun_nat_rat ).

tff(func_def_574,type,
    semiri4055485073559036834nteger: ( fun_Co8499238673658658103nteger * nat ) > fun_Co8499238673658658103nteger ).

tff(func_def_575,type,
    semiri2879080225315754349atural: ( fun_Co7398788559141407565atural * nat * code_natural ) > code_natural ).

tff(func_def_576,type,
    semiri8420488043553186161ux_int: ( fun_int_int * nat * int ) > int ).

tff(func_def_577,type,
    semiri8422978514062236437ux_nat: fun_nat_nat > fun_nat_fun_nat_nat ).

tff(func_def_578,type,
    semiri7787848453975740701ux_rat: ( fun_rat_rat * nat ) > fun_rat_rat ).

tff(func_def_579,type,
    size_s3445333598471063425nteger: list_Code_integer > nat ).

tff(func_def_580,type,
    size_size_list_bool: fun_list_bool_nat ).

tff(func_def_581,type,
    size_size_list_int: fun_list_int_nat ).

tff(func_def_582,type,
    size_size_list_nat: fun_list_nat_nat ).

tff(func_def_583,type,
    size_size_list_num: list_num > nat ).

tff(func_def_584,type,
    size_size_list_rat: list_rat > nat ).

tff(func_def_585,type,
    size_size_list_char: list_char > nat ).

tff(func_def_586,type,
    size_size_num: fun_num_nat ).

tff(func_def_587,type,
    size_size_char: char > nat ).

tff(func_def_588,type,
    nat_list_decode: 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: 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: set_nat > nat ).

tff(func_def_598,type,
    nat_triangle: fun_nat_nat ).

tff(func_def_599,type,
    bitM: fun_num_num ).

tff(func_def_600,type,
    inc: fun_num_num ).

tff(func_def_601,type,
    neg_nu8804712462038260780nteger: fun_Co8499238673658658103nteger ).

tff(func_def_602,type,
    neg_numeral_dbl_int: int > int ).

tff(func_def_603,type,
    neg_numeral_dbl_rat: fun_rat_rat ).

tff(func_def_604,type,
    neg_nu7757733837767384882nteger: fun_Co8499238673658658103nteger ).

tff(func_def_605,type,
    neg_nu3811975205180677377ec_int: int > int ).

tff(func_def_606,type,
    neg_nu3179335615603231917ec_rat: fun_rat_rat ).

tff(func_def_607,type,
    neg_nu5831290666863070958nteger: fun_Co8499238673658658103nteger ).

tff(func_def_608,type,
    neg_nu5851722552734809277nc_int: int > int ).

tff(func_def_609,type,
    neg_nu5219082963157363817nc_rat: fun_rat_rat ).

tff(func_def_610,type,
    neg_nu5755505904847501662nteger: num > fun_num_Code_integer ).

tff(func_def_611,type,
    neg_numeral_sub_int: num > fun_num_int ).

tff(func_def_612,type,
    bit0: fun_num_num ).

tff(func_def_613,type,
    bit1: fun_num_num ).

tff(func_def_614,type,
    one: num ).

tff(func_def_615,type,
    case_num_option_num: ( option_num * fun_num_option_num * fun_num_option_num * num ) > option_num ).

tff(func_def_616,type,
    size_num: fun_num_nat ).

tff(func_def_617,type,
    num_of_nat: fun_nat_num ).

tff(func_def_618,type,
    numera6620942414471956472nteger: fun_num_Code_integer ).

tff(func_def_619,type,
    numera5444537566228673987atural: num > code_natural ).

tff(func_def_620,type,
    numeral_numeral_int: fun_num_int ).

tff(func_def_621,type,
    numeral_numeral_nat: fun_num_nat ).

tff(func_def_622,type,
    numeral_numeral_rat: fun_num_rat ).

tff(func_def_623,type,
    pow: num > fun_num_num ).

tff(func_def_624,type,
    pred_numeral: fun_num_nat ).

tff(func_def_625,type,
    sqr: fun_num_num ).

tff(func_def_626,type,
    none_num: option_num ).

tff(func_def_627,type,
    none_P9117596204409417319it_nat: option8956607266484857688it_nat ).

tff(func_def_628,type,
    some_num: num > option_num ).

tff(func_def_629,type,
    some_P1914260805536162275it_nat: produc8664842809031399944it_nat > option8956607266484857688it_nat ).

tff(func_def_630,type,
    case_option_int_num: ( int * fun_num_int * option_num ) > int ).

tff(func_def_631,type,
    case_option_num_num: ( num * fun_num_num * option_num ) > num ).

tff(func_def_632,type,
    case_o6005452278849405969um_num: ( option_num * fun_num_option_num * option_num ) > option_num ).

tff(func_def_633,type,
    map_option_num_num: ( fun_num_num * option_num ) > option_num ).

tff(func_def_634,type,
    bot_bot_nat: nat ).

tff(func_def_635,type,
    bot_bot_set_int: set_int ).

tff(func_def_636,type,
    bot_bot_set_nat: set_nat ).

tff(func_def_637,type,
    ord_Least_nat: fun_nat_bool > nat ).

tff(func_def_638,type,
    ord_le6747313008572928689nteger: fun_Co8310303586393106575r_bool ).

tff(func_def_639,type,
    ord_le5570908160329646204atural: fun_Co9170264581657726457l_bool ).

tff(func_def_640,type,
    ord_less_int: fun_int_fun_int_bool ).

tff(func_def_641,type,
    ord_less_nat: fun_nat_fun_nat_bool ).

tff(func_def_642,type,
    ord_less_num: fun_num_fun_num_bool ).

tff(func_def_643,type,
    ord_less_rat: fun_rat_fun_rat_bool ).

tff(func_def_644,type,
    ord_less_set_nat: set_nat > fun_set_nat_bool ).

tff(func_def_645,type,
    ord_le3102999989581377725nteger: fun_Co8310303586393106575r_bool ).

tff(func_def_646,type,
    ord_le1926595141338095240atural: fun_Co9170264581657726457l_bool ).

tff(func_def_647,type,
    ord_less_eq_bool: fun_bo1841576699660343469l_bool ).

tff(func_def_648,type,
    ord_less_eq_int: fun_int_fun_int_bool ).

tff(func_def_649,type,
    ord_less_eq_nat: fun_nat_fun_nat_bool ).

tff(func_def_650,type,
    ord_less_eq_num: fun_num_fun_num_bool ).

tff(func_def_651,type,
    ord_less_eq_rat: fun_rat_fun_rat_bool ).

tff(func_def_652,type,
    ord_less_eq_set_nat: set_nat > fun_set_nat_bool ).

tff(func_def_653,type,
    ord_max_Code_integer: code_integer > fun_Co8499238673658658103nteger ).

tff(func_def_654,type,
    ord_max_Code_natural: ( code_natural * code_natural ) > code_natural ).

tff(func_def_655,type,
    ord_max_int: fun_int_fun_int_int ).

tff(func_def_656,type,
    ord_max_nat: fun_nat_fun_nat_nat ).

tff(func_def_657,type,
    ord_min_Code_integer: code_integer > fun_Co8499238673658658103nteger ).

tff(func_def_658,type,
    ord_min_Code_natural: ( code_natural * code_natural ) > code_natural ).

tff(func_def_659,type,
    ord_min_int: fun_int_fun_int_int ).

tff(func_def_660,type,
    ord_min_nat: fun_nat_fun_nat_nat ).

tff(func_def_661,type,
    order_Greatest_int: fun_int_bool > int ).

tff(func_def_662,type,
    order_Greatest_nat: fun_nat_bool > nat ).

tff(func_def_663,type,
    order_Greatest_num: fun_num_bool > num ).

tff(func_def_664,type,
    order_Greatest_rat: fun_rat_bool > rat ).

tff(func_def_665,type,
    order_5724808138429204845et_nat: fun_set_nat_bool > set_nat ).

tff(func_def_666,type,
    ordering_top_nat: ( fun_nat_fun_nat_bool * fun_nat_fun_nat_bool ) > fun_nat_bool ).

tff(func_def_667,type,
    top_top_set_int: set_int ).

tff(func_def_668,type,
    top_top_set_nat: set_nat ).

tff(func_def_669,type,
    top_to1996260823553986621t_unit: set_Product_unit ).

tff(func_def_670,type,
    top_top_set_char: set_char ).

tff(func_def_671,type,
    power_8256067586552552935nteger: code_integer > fun_nat_Code_integer ).

tff(func_def_672,type,
    power_7079662738309270450atural: ( code_natural * nat ) > code_natural ).

tff(func_def_673,type,
    power_power_int: int > fun_nat_int ).

tff(func_def_674,type,
    power_power_nat: fun_nat_fun_nat_nat ).

tff(func_def_675,type,
    power_power_rat: rat > fun_nat_rat ).

tff(func_def_676,type,
    produc1086072967326762835nteger: ( code_integer * code_integer ) > produc8923325533196201883nteger ).

tff(func_def_677,type,
    produc5135875973608410785r_bool: ( code_integer * bool ) > produc7417142470700560111r_bool ).

tff(func_def_678,type,
    produc3574140220909816553atural: ( code_natural * code_natural ) > produc7822875418678951345atural ).

tff(func_def_679,type,
    produc6639722614265839536atural: code_natural > fun_Pr7769407664385210434atural ).

tff(func_def_680,type,
    produc584006145561248582it_nat: ( heap_e7401611519738050253t_unit * nat ) > produc6653097349344004940it_nat ).

tff(func_def_681,type,
    product_Pair_int_int: int > fun_in4211310926729683942nt_int ).

tff(func_def_682,type,
    product_Pair_nat_nat: nat > fun_na1476630412504255114at_nat ).

tff(func_def_683,type,
    product_Pair_nat_num: ( nat * num ) > product_prod_nat_num ).

tff(func_def_684,type,
    product_Pair_num_num: ( num * num ) > product_prod_num_num ).

tff(func_def_685,type,
    produc4480994950612372183atural: ( produc7822875418678951345atural * produc7822875418678951345atural ) > produc6756470014200349799atural ).

tff(func_def_686,type,
    produc6161850002892822231at_nat: ( product_prod_nat_nat * product_prod_nat_nat ) > produc859450856879609959at_nat ).

tff(func_def_687,type,
    produc7133225469290080770it_nat: ( product_unit * produc6653097349344004940it_nat ) > produc8664842809031399944it_nat ).

tff(func_def_688,type,
    product_Unity: product_unit ).

tff(func_def_689,type,
    produc6499014454317279255nteger: fun_fu4800041728187187127nteger ).

tff(func_def_690,type,
    produc1553301316500091796er_int: ( fun_Co1092983284983208416er_int * produc8923325533196201883nteger ) > int ).

tff(func_def_691,type,
    produc1555791787009142072er_nat: ( fun_Co3583066429914935172er_nat * produc8923325533196201883nteger ) > nat ).

tff(func_def_692,type,
    produc7336495610019696514er_num: ( fun_Co8521658056209057742er_num * produc8923325533196201883nteger ) > num ).

tff(func_def_693,type,
    produc6916734918728496179nteger: ( fun_Co2470855966376689427nteger * produc8923325533196201883nteger ) > produc8923325533196201883nteger ).

tff(func_def_694,type,
    produc6117575242473779287r_bool: ( fun_Co3025358997185726883r_bool * produc8923325533196201883nteger ) > produc7417142470700560111r_bool ).

tff(func_def_695,type,
    produc7257819798349884575l_char: ( fun_Co4129272462331242167l_char * produc7417142470700560111r_bool ) > char ).

tff(func_def_696,type,
    produc8282080750456430313atural: ( fun_Co1890133979025130057atural * produc7822875418678951345atural ) > produc6756470014200349799atural ).

tff(func_def_697,type,
    produc8560705615207772305t_bool: fun_int_fun_int_bool > fun_Pr803113274115125473t_bool ).

tff(func_def_698,type,
    produc8211389475949308722nt_int: ( fun_int_fun_int_int * product_prod_int_int ) > int ).

tff(func_def_699,type,
    produc4245557441103728435nt_int: ( fun_in1696471567231710611nt_int * product_prod_int_int ) > product_prod_int_int ).

tff(func_def_700,type,
    produc8955392012077580105t_bool: fun_nat_fun_nat_bool > fun_Pr7757163693017731481t_bool ).

tff(func_def_701,type,
    produc2761476792215241774st_nat: ( fun_na819858167508000762st_nat * product_prod_nat_nat ) > list_nat ).

tff(func_def_702,type,
    produc6842872674320459806at_nat: fun_nat_fun_nat_nat > fun_Pr2602117396471556196at_nat ).

tff(func_def_703,type,
    produc2626176000494625587at_nat: fun_na4138050610385705875at_nat > fun_Pr2118491707810114563at_nat ).

tff(func_def_704,type,
    produc5023667602222594023t_bool: fun_na4786964484885125043t_bool > fun_Pr248683899324676269t_bool ).

tff(func_def_705,type,
    produc4528391901023682385at_nat: fun_na1668100129766719005at_nat > fun_Pr2477239776880934807at_nat ).

tff(func_def_706,type,
    produc478579273971653890on_num: ( fun_na7595719129879163854on_num * product_prod_nat_num ) > option_num ).

tff(func_def_707,type,
    produc8508995932063986495nteger: produc8923325533196201883nteger > code_integer ).

tff(func_def_708,type,
    product_fst_int_int: product_prod_int_int > int ).

tff(func_def_709,type,
    product_fst_nat_nat: product_prod_nat_nat > nat ).

tff(func_def_710,type,
    produc6174133586879617921nteger: produc8923325533196201883nteger > code_integer ).

tff(func_def_711,type,
    produc6591912806276919810atural: produc5835291356934675326atural > produc7822875418678951345atural ).

tff(func_def_712,type,
    product_snd_int_int: product_prod_int_int > int ).

tff(func_def_713,type,
    product_snd_nat_nat: product_prod_nat_nat > nat ).

tff(func_def_714,type,
    produc5538323210962509403atural: ( fun_Pr7769407664385210434atural * fun_Co1105491363547889651atural ) > fun_Pr7769407664385210434atural ).

tff(func_def_715,type,
    inc_shift: ( code_natural * code_natural ) > code_natural ).

tff(func_def_716,type,
    iterat8892046348760725948atural: ( code_natural * fun_Co1105491363547889651atural * code_natural ) > fun_Pr7769407664385210434atural ).

tff(func_def_717,type,
    log: ( code_natural * code_natural ) > code_natural ).

tff(func_def_718,type,
    log_rel: fun_Pr4637083014979798189l_bool ).

tff(func_def_719,type,
    minus_shift: ( code_natural * code_natural * code_natural ) > code_natural ).

tff(func_def_720,type,
    next: fun_Pr7769407664385210434atural ).

tff(func_def_721,type,
    range: code_natural > fun_Pr7769407664385210434atural ).

tff(func_def_722,type,
    split_seed: produc7822875418678951345atural > produc6756470014200349799atural ).

tff(func_def_723,type,
    abs_Rat: fun_Pr1652463973008025892nt_rat ).

tff(func_def_724,type,
    fract: fun_int_fun_int_rat ).

tff(func_def_725,type,
    frct: product_prod_int_int > rat ).

tff(func_def_726,type,
    rep_Rat: fun_ra4503298312962071866nt_int ).

tff(func_def_727,type,
    cr_rat: product_prod_int_int > fun_rat_bool ).

tff(func_def_728,type,
    normalize: product_prod_int_int > product_prod_int_int ).

tff(func_def_729,type,
    of_int: fun_int_rat ).

tff(func_def_730,type,
    pcr_rat: fun_Pr3145601080792579042t_bool ).

tff(func_def_731,type,
    positive: fun_rat_bool ).

tff(func_def_732,type,
    quotient_of: rat > product_prod_int_int ).

tff(func_def_733,type,
    abs_rat: fun_se593059424582005380nt_rat ).

tff(func_def_734,type,
    rep_rat: fun_ra7314870381713115802nt_int ).

tff(func_def_735,type,
    ratrel: fun_Pr3099820731930151597t_bool ).

tff(func_def_736,type,
    ref_ch7259622376331601608t_unit: ( fun_Pr2191293291710260995t_unit * ref_Product_unit ) > heap_T5738788834812785303t_unit ).

tff(func_def_737,type,
    ref_lo7930775386976318366t_unit: ref_Product_unit > heap_T5738788834812785303t_unit ).

tff(func_def_738,type,
    ref_up627237114476368303t_unit: ref_Product_unit > fun_Pr292408699144966967t_unit ).

tff(func_def_739,type,
    refine_Imp_assert: bool > heap_T5738788834812785303t_unit ).

tff(func_def_740,type,
    domain452967906960104687nteger: fun_in5519481650651148416r_bool > fun_int_bool ).

tff(func_def_741,type,
    domainp_int_int: fun_int_fun_int_bool > fun_int_bool ).

tff(func_def_742,type,
    domainp_nat_nat: fun_nat_fun_nat_bool > fun_nat_bool ).

tff(func_def_743,type,
    domain9213661015745956397nt_rat: fun_Pr3145601080792579042t_bool > fun_Pr803113274115125473t_bool ).

tff(func_def_744,type,
    domain7287725470393535433at_int: fun_Pr5932607294251420486t_bool > fun_Pr7757163693017731481t_bool ).

tff(func_def_745,type,
    relcom8911704206367525917at_int: ( fun_Pr248683899324676269t_bool * fun_Pr5932607294251420486t_bool ) > fun_Pr5932607294251420486t_bool ).

tff(func_def_746,type,
    algebr932160517623751201me_int: fun_int_fun_int_bool ).

tff(func_def_747,type,
    algebr934650988132801477me_nat: fun_nat_fun_nat_bool ).

tff(func_def_748,type,
    divide6298287555418463151nteger: fun_Co1981900195452921617nteger ).

tff(func_def_749,type,
    divide5121882707175180666atural: fun_Co6813818151677833714atural ).

tff(func_def_750,type,
    divide_divide_int: fun_int_fun_int_int ).

tff(func_def_751,type,
    divide_divide_nat: fun_nat_fun_nat_nat ).

tff(func_def_752,type,
    divide_divide_rat: rat > fun_rat_rat ).

tff(func_def_753,type,
    dvd_dvd_Code_integer: fun_Co8310303586393106575r_bool ).

tff(func_def_754,type,
    dvd_dvd_int: fun_int_fun_int_bool ).

tff(func_def_755,type,
    dvd_dvd_nat: fun_nat_fun_nat_bool ).

tff(func_def_756,type,
    modulo364778990260209775nteger: fun_Co1981900195452921617nteger ).

tff(func_def_757,type,
    modulo8411746178871703098atural: fun_Co6813818151677833714atural ).

tff(func_def_758,type,
    modulo_modulo_int: fun_int_fun_int_int ).

tff(func_def_759,type,
    modulo_modulo_nat: fun_nat_fun_nat_nat ).

tff(func_def_760,type,
    zero_n356916108424825756nteger: bool > code_integer ).

tff(func_def_761,type,
    zero_n2684676970156552555ol_int: fun_bool_int ).

tff(func_def_762,type,
    zero_n2687167440665602831ol_nat: fun_bool_nat ).

tff(func_def_763,type,
    collect_int: fun_int_bool > set_int ).

tff(func_def_764,type,
    collect_list_nat: fun_list_nat_bool > set_list_nat ).

tff(func_def_765,type,
    collect_nat: fun_nat_bool > set_nat ).

tff(func_def_766,type,
    collec213857154873943460nt_int: fun_Pr803113274115125473t_bool > set_Pr958786334691620121nt_int ).

tff(func_def_767,type,
    collec3392354462482085612at_nat: fun_Pr7757163693017731481t_bool > set_Pr1261947904930325089at_nat ).

tff(func_def_768,type,
    collect_set_nat: fun_set_nat_bool > set_set_nat ).

tff(func_def_769,type,
    collec5210948495886036740nt_int: fun_se3032438776331272065t_bool > set_se6260736226359567993nt_int ).

tff(func_def_770,type,
    pow_nat: set_nat > set_set_nat ).

tff(func_def_771,type,
    image_4470545334726330049nteger: ( fun_Co8499238673658658103nteger * set_Code_integer ) > set_Code_integer ).

tff(func_def_772,type,
    image_int_int: ( fun_int_int * set_int ) > set_int ).

tff(func_def_773,type,
    image_int_nat: ( fun_int_nat * set_int ) > set_nat ).

tff(func_def_774,type,
    image_1215581382706833972nteger: ( fun_nat_Code_integer * set_nat ) > set_Code_integer ).

tff(func_def_775,type,
    image_nat_int: ( fun_nat_int * set_nat ) > set_int ).

tff(func_def_776,type,
    image_nat_nat: ( fun_nat_nat * set_nat ) > set_nat ).

tff(func_def_777,type,
    image_nat_set_nat: ( fun_nat_set_nat * set_nat ) > set_set_nat ).

tff(func_def_778,type,
    image_nat_char: ( fun_nat_char * set_nat ) > set_char ).

tff(func_def_779,type,
    image_char_nat: ( fun_char_nat * set_char ) > set_nat ).

tff(func_def_780,type,
    insert_int: ( int * set_int ) > set_int ).

tff(func_def_781,type,
    insert_nat: ( nat * set_nat ) > set_nat ).

tff(func_def_782,type,
    vimage_nat_nat: ( fun_nat_nat * set_nat ) > set_nat ).

tff(func_def_783,type,
    set_fo1084959871951514735nteger: ( fun_na7078387940644931716nteger * nat * nat ) > fun_Co8499238673658658103nteger ).

tff(func_def_784,type,
    set_fo9131927060563008058atural: ( fun_na607345901702507418atural * nat * nat * code_natural ) > code_natural ).

tff(func_def_785,type,
    set_fo2581907887559384638at_int: ( fun_nat_fun_int_int * nat * nat * int ) > int ).

tff(func_def_786,type,
    set_fo2584398358068434914at_nat: ( fun_nat_fun_nat_nat * nat ) > fun_nat_fun_nat_nat ).

tff(func_def_787,type,
    set_fo1949268297981939178at_rat: ( fun_nat_fun_rat_rat * nat * nat ) > fun_rat_rat ).

tff(func_def_788,type,
    set_or189985376899183464nteger: ( code_integer * code_integer ) > set_Code_integer ).

tff(func_def_789,type,
    set_or1266510415728281911st_int: ( int * int ) > set_int ).

tff(func_def_790,type,
    set_or1269000886237332187st_nat: nat > fun_nat_set_nat ).

tff(func_def_791,type,
    set_or8404916559141939852nteger: ( code_integer * code_integer ) > set_Code_integer ).

tff(func_def_792,type,
    set_or4662586982721622107an_int: ( int * int ) > set_int ).

tff(func_def_793,type,
    set_or4665077453230672383an_nat: nat > fun_nat_set_nat ).

tff(func_def_794,type,
    set_ord_atLeast_nat: fun_nat_set_nat ).

tff(func_def_795,type,
    set_ord_atMost_nat: fun_nat_set_nat ).

tff(func_def_796,type,
    set_or2715278749043346189nteger: ( code_integer * code_integer ) > set_Code_integer ).

tff(func_def_797,type,
    set_or6656581121297822940st_int: ( int * int ) > set_int ).

tff(func_def_798,type,
    set_or6659071591806873216st_nat: nat > fun_nat_set_nat ).

tff(func_def_799,type,
    set_or4266950643985792945nteger: ( code_integer * code_integer ) > set_Code_integer ).

tff(func_def_800,type,
    set_or5832277885323065728an_int: ( int * int ) > set_int ).

tff(func_def_801,type,
    set_or5834768355832116004an_nat: nat > fun_nat_set_nat ).

tff(func_def_802,type,
    set_or1210151606488870762an_nat: fun_nat_set_nat ).

tff(func_def_803,type,
    set_ord_lessThan_nat: fun_nat_set_nat ).

tff(func_def_804,type,
    char2: ( bool * bool * bool * bool * bool * bool * bool ) > fun_bool_char ).

tff(func_def_805,type,
    size_char: char > nat ).

tff(func_def_806,type,
    char_of_integer: code_integer > char ).

tff(func_def_807,type,
    comm_s629917340098488124ar_nat: fun_char_nat ).

tff(func_def_808,type,
    integer_of_char: char > code_integer ).

tff(func_def_809,type,
    unique3096191561947761185of_nat: fun_nat_char ).

tff(func_def_810,type,
    time_T7469515765551943773t_unit: heap_T5738788834812785303t_unit > fun_nat_bool ).

tff(func_def_811,type,
    time_TBOUND_a: heap_Time_Heap_a > fun_nat_bool ).

tff(func_def_812,type,
    time_t3350536682685678164t_unit: ( heap_T5738788834812785303t_unit * heap_e7401611519738050253t_unit ) > heap_e7401611519738050253t_unit ).

tff(func_def_813,type,
    time_the_heap_a: ( heap_Time_Heap_a * heap_e7401611519738050253t_unit ) > heap_e7401611519738050253t_unit ).

tff(func_def_814,type,
    time_t2745601220510131320t_unit: ( heap_T5738788834812785303t_unit * heap_e7401611519738050253t_unit ) > product_unit ).

tff(func_def_815,type,
    time_the_res_a: ( heap_Time_Heap_a * heap_e7401611519738050253t_unit ) > a ).

tff(func_def_816,type,
    time_time_array_bool: ( heap_T6374562886178639292y_bool * heap_e7401611519738050253t_unit ) > nat ).

tff(func_def_817,type,
    time_time_array_int: ( heap_T1346037964561226099ay_int * heap_e7401611519738050253t_unit ) > nat ).

tff(func_def_818,type,
    time_time_array_nat: ( heap_T3836121109492952855ay_nat * heap_e7401611519738050253t_unit ) > nat ).

tff(func_def_819,type,
    time_t4224138285095624986t_unit: ( heap_T5738788834812785303t_unit * heap_e7401611519738050253t_unit ) > nat ).

tff(func_def_820,type,
    time_time_a: ( heap_Time_Heap_a * heap_e7401611519738050253t_unit ) > nat ).

tff(func_def_821,type,
    transi2905341329935302413cl_nat: set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat ).

tff(func_def_822,type,
    type_d4410041424927559462al_nat: ( fun_Code_natural_nat * fun_nat_Code_natural ) > fun_set_nat_bool ).

tff(func_def_823,type,
    accp_list_nat: fun_li8598321315282354825t_bool > fun_list_nat_bool ).

tff(func_def_824,type,
    accp_nat: fun_nat_fun_nat_bool > fun_nat_bool ).

tff(func_def_825,type,
    accp_P1096762738010456898nt_int: fun_Pr3099820731930151597t_bool > fun_Pr803113274115125473t_bool ).

tff(func_def_826,type,
    accp_P4275260045618599050at_nat: fun_Pr248683899324676269t_bool > fun_Pr7757163693017731481t_bool ).

tff(func_def_827,type,
    pred_nat: set_Pr1261947904930325089at_nat ).

tff(func_def_828,type,
    wf_int: fun_se3032438776331272065t_bool ).

tff(func_def_829,type,
    aa_Cod1783974652533396728nteger: ( fun_Co8499238673658658103nteger * code_integer ) > code_integer ).

tff(func_def_830,type,
    aa_Cod607569804290114243atural: ( fun_Co3734316457315071362atural * code_integer ) > code_natural ).

tff(func_def_831,type,
    aa_Code_integer_bool: ( fun_Co8822979462182099027r_bool * code_integer ) > bool ).

tff(func_def_832,type,
    aa_Code_integer_int: ( fun_Code_integer_int * code_integer ) > int ).

tff(func_def_833,type,
    aa_Code_integer_nat: ( fun_Code_integer_nat * code_integer ) > nat ).

tff(func_def_834,type,
    aa_Code_integer_num: ( fun_Code_integer_num * code_integer ) > num ).

tff(func_def_835,type,
    aa_Cod6977894654539884864nteger: ( fun_Co6597186368970283863nteger * code_integer ) > produc8923325533196201883nteger ).

tff(func_def_836,type,
    aa_Cod2825494507867081354r_bool: ( fun_Co7333321365496032713r_bool * code_integer ) > produc7417142470700560111r_bool ).

tff(func_def_837,type,
    aa_Code_integer_rat: ( fun_Code_integer_rat * code_integer ) > rat ).

tff(func_def_838,type,
    aa_Cod4161879620478718930nteger: ( fun_Co1981900195452921617nteger * code_integer ) > fun_Co8499238673658658103nteger ).

tff(func_def_839,type,
    aa_Cod7250484176784686200r_bool: ( fun_Co8310303586393106575r_bool * code_integer ) > fun_Co8822979462182099027r_bool ).

tff(func_def_840,type,
    aa_Cod1242632294114111009er_int: ( fun_Co1092983284983208416er_int * code_integer ) > fun_Code_integer_int ).

tff(func_def_841,type,
    aa_Cod5420483313623307717er_nat: ( fun_Co3583066429914935172er_nat * code_integer ) > fun_Code_integer_nat ).

tff(func_def_842,type,
    aa_Cod6128727250572145423er_num: ( fun_Co8521658056209057742er_num * code_integer ) > fun_Code_integer_num ).

tff(func_def_843,type,
    aa_Cod8380929501330563836nteger: ( fun_Co2470855966376689427nteger * code_integer ) > fun_Co6597186368970283863nteger ).

tff(func_def_844,type,
    aa_Cod4981436349852597092r_bool: ( fun_Co3025358997185726883r_bool * code_integer ) > fun_Co7333321365496032713r_bool ).

tff(func_def_845,type,
    aa_Cod6370812454140447392l_char: ( fun_Co4129272462331242167l_char * code_integer ) > fun_bool_char ).

tff(func_def_846,type,
    aa_Cod2498268374540730821t_bool: ( fun_Co8657364630979331932t_bool * code_integer ) > fun_nat_bool ).

tff(func_def_847,type,
    aa_Cod5448446754359732931nteger: ( fun_Co2940338738630218498nteger * code_natural ) > code_integer ).

tff(func_def_848,type,
    aa_Cod4272041906116450446atural: ( fun_Co7398788559141407565atural * code_natural ) > code_natural ).

tff(func_def_849,type,
    aa_Code_natural_bool: ( fun_Co7175331531449502024l_bool * code_natural ) > bool ).

tff(func_def_850,type,
    aa_Code_natural_nat: ( fun_Code_natural_nat * code_natural ) > nat ).

tff(func_def_851,type,
    aa_Cod6808739660676082561atural: ( fun_Co5709460363461100952atural * code_natural ) > produc6756470014200349799atural ).

tff(func_def_852,type,
    aa_Cod5141017464274028979atural: ( fun_Co6813818151677833714atural * code_natural ) > fun_Co7398788559141407565atural ).

tff(func_def_853,type,
    aa_Cod6910080592713026658l_bool: ( fun_Co9170264581657726457l_bool * code_natural ) > fun_Co7175331531449502024l_bool ).

tff(func_def_854,type,
    aa_Cod4292056611156568242atural: ( fun_Co1890133979025130057atural * code_natural ) > fun_Co5709460363461100952atural ).

tff(func_def_855,type,
    aa_Cod8811915439870959971atural: ( fun_Co9168753396221475450atural * code_natural ) > fun_Co1890133979025130057atural ).

tff(func_def_856,type,
    aa_Cod140358652193338554t_bool: ( fun_Co6299454908631939665t_bool * code_natural ) > fun_nat_bool ).

tff(func_def_857,type,
    aa_Cod6352003912080677724atural: ( fun_Co1105491363547889651atural * code_natural ) > fun_Pr7769407664385210434atural ).

tff(func_def_858,type,
    aa_bool_bool: ( fun_bool_bool * bool ) > bool ).

tff(func_def_859,type,
    aa_bool_int: ( fun_bool_int * bool ) > int ).

tff(func_def_860,type,
    aa_bool_nat: ( fun_bool_nat * bool ) > nat ).

tff(func_def_861,type,
    aa_bool_num: ( fun_bool_num * bool ) > num ).

tff(func_def_862,type,
    aa_bool_rat: ( fun_bool_rat * bool ) > rat ).

tff(func_def_863,type,
    aa_bool_set_nat: ( fun_bool_set_nat * bool ) > set_nat ).

tff(func_def_864,type,
    aa_bool_char: ( fun_bool_char * bool ) > char ).

tff(func_def_865,type,
    aa_boo1160955832611998748l_char: ( fun_bo8295548925090689571l_char * bool ) > fun_Co4129272462331242167l_char ).

tff(func_def_866,type,
    aa_boo8970175072276269406l_bool: ( fun_bo1841576699660343469l_bool * bool ) > fun_bool_bool ).

tff(func_def_867,type,
    aa_boo3826374251381081086l_char: ( fun_bo250947935745040205l_char * bool ) > fun_bo8295548925090689571l_char ).

tff(func_def_868,type,
    aa_boo3984127200019211826l_char: ( fun_bo252359628945711929l_char * bool ) > fun_bo250947935745040205l_char ).

tff(func_def_869,type,
    aa_boo5194212545117631380l_char: ( fun_bo8101500534245302755l_char * bool ) > fun_bo252359628945711929l_char ).

tff(func_def_870,type,
    aa_boo2023203282872912456l_char: ( fun_bo397793325678485071l_char * bool ) > fun_bo8101500534245302755l_char ).

tff(func_def_871,type,
    aa_boo9094958794169052458l_char: ( fun_bo8333701921597992569l_char * bool ) > fun_bo397793325678485071l_char ).

tff(func_def_872,type,
    aa_bool_fun_nat_bool: ( fun_bo3288154511880838028t_bool * bool ) > fun_nat_bool ).

tff(func_def_873,type,
    aa_bool_fun_nat_nat: ( fun_bool_fun_nat_nat * bool ) > fun_nat_nat ).

tff(func_def_874,type,
    aa_hea684056619475940329it_nat: ( fun_he5234484606919320760it_nat * heap_e7401611519738050253t_unit ) > option8956607266484857688it_nat ).

tff(func_def_875,type,
    aa_ref3209944945879839949t_unit: ( fun_re5565935564814528228t_unit * ref_Product_unit ) > fun_Pr292408699144966967t_unit ).

tff(func_def_876,type,
    aa_int_Code_integer: ( fun_int_Code_integer * int ) > code_integer ).

tff(func_def_877,type,
    aa_int_bool: ( fun_int_bool * int ) > bool ).

tff(func_def_878,type,
    aa_int_int: ( fun_int_int * int ) > int ).

tff(func_def_879,type,
    aa_int_nat: ( fun_int_nat * int ) > nat ).

tff(func_def_880,type,
    aa_int_num: ( fun_int_num * int ) > num ).

tff(func_def_881,type,
    aa_int7462565939943104719nt_int: ( fun_in4211310926729683942nt_int * int ) > product_prod_int_int ).

tff(func_def_882,type,
    aa_int1417691210696471063at_nat: ( fun_in4514472496968388910at_nat * int ) > product_prod_nat_nat ).

tff(func_def_883,type,
    aa_int_rat: ( fun_int_rat * int ) > rat ).

tff(func_def_884,type,
    aa_int3865899974016033897r_bool: ( fun_in5519481650651148416r_bool * int ) > fun_Co8822979462182099027r_bool ).

tff(func_def_885,type,
    aa_int_fun_int_bool: ( fun_int_fun_int_bool * int ) > fun_int_bool ).

tff(func_def_886,type,
    aa_int_fun_int_int: ( fun_int_fun_int_int * int ) > fun_int_int ).

tff(func_def_887,type,
    aa_int2565445551602696444nt_int: ( fun_in1696471567231710611nt_int * int ) > fun_in4211310926729683942nt_int ).

tff(func_def_888,type,
    aa_int_fun_int_rat: ( fun_int_fun_int_rat * int ) > fun_int_rat ).

tff(func_def_889,type,
    aa_int2327297053056786951t_bool: ( fun_in6148020733644367646t_bool * int ) > fun_int_fun_int_bool ).

tff(func_def_890,type,
    aa_int1966403025003302569nt_int: ( fun_in2204242111582549184nt_int * int ) > fun_in1696471567231710611nt_int ).

tff(func_def_891,type,
    aa_int_fun_nat_bool: ( fun_int_fun_nat_bool * int ) > fun_nat_bool ).

tff(func_def_892,type,
    aa_int_fun_nat_nat: ( fun_int_fun_nat_nat * int ) > fun_nat_nat ).

tff(func_def_893,type,
    aa_int_fun_char_bool: ( fun_in892379244202657548r_bool * int ) > fun_char_bool ).

tff(func_def_894,type,
    aa_list_bool_bool: ( fun_list_bool_bool * list_bool ) > bool ).

tff(func_def_895,type,
    aa_list_bool_nat: ( fun_list_bool_nat * list_bool ) > nat ).

tff(func_def_896,type,
    aa_list_int_bool: ( fun_list_int_bool * list_int ) > bool ).

tff(func_def_897,type,
    aa_list_int_nat: ( fun_list_int_nat * list_int ) > nat ).

tff(func_def_898,type,
    aa_lis3210702172589064762t_bool: ( fun_li582272206764200913t_bool * list_int ) > fun_list_int_bool ).

tff(func_def_899,type,
    aa_lis7542188064555469491t_bool: ( fun_li9223120564235649482t_bool * list_int ) > fun_li7501238334638356269t_bool ).

tff(func_def_900,type,
    aa_lis8167179675379572210r_bool: ( fun_li5586212896732264841r_bool * list_int ) > fun_li7776623116333600876r_bool ).

tff(func_def_901,type,
    aa_lis3670985124235711382t_bool: ( fun_li7501238334638356269t_bool * list_int ) > fun_list_nat_bool ).

tff(func_def_902,type,
    aa_lis9136032189843949140l_bool: ( fun_li1159781111665813011l_bool * list_int ) > fun_li6875962081873459290l_bool ).

tff(func_def_903,type,
    aa_lis1720304917325312691t_bool: ( fun_li8232183365494450634t_bool * list_int ) > fun_li1679355187408199469t_bool ).

tff(func_def_904,type,
    aa_lis8639271045199468047t_bool: ( fun_li7545607332453900070t_bool * list_int ) > fun_li8598321315282354825t_bool ).

tff(func_def_905,type,
    aa_lis4900957631649860942r_bool: ( fun_li6758484077797800677r_bool * list_int ) > fun_li4510401072603889608r_bool ).

tff(func_def_906,type,
    aa_lis3387529204075153493r_bool: ( fun_li7776623116333600876r_bool * list_int ) > fun_list_char_bool ).

tff(func_def_907,type,
    aa_lis3183881253345691349l_bool: ( fun_li226239312188596756l_bool * list_int ) > fun_li5591682779239346907l_bool ).

tff(func_def_908,type,
    aa_lis3636764498773672434t_bool: ( fun_li3442269666789727625t_bool * list_int ) > fun_li3246207939727701100t_bool ).

tff(func_def_909,type,
    aa_lis1332358589793051982t_bool: ( fun_li2755693633749177061t_bool * list_int ) > fun_li941802030747080648t_bool ).

tff(func_def_910,type,
    aa_lis4488968080555687309r_bool: ( fun_li8010384410668617636r_bool * list_int ) > fun_li8666427833891403271r_bool ).

tff(func_def_911,type,
    aa_list_nat_bool: ( fun_list_nat_bool * list_nat ) > bool ).

tff(func_def_912,type,
    aa_list_nat_nat: ( fun_list_nat_nat * list_nat ) > nat ).

tff(func_def_913,type,
    aa_lis5949604092718491675l_bool: ( fun_li6875962081873459290l_bool * list_nat ) > fun_list_bool_bool ).

tff(func_def_914,type,
    aa_lis4307785153233063318t_bool: ( fun_li1679355187408199469t_bool * list_nat ) > fun_list_int_bool ).

tff(func_def_915,type,
    aa_lis8712802965842474412t_bool: ( fun_li5675276573120102467t_bool * list_nat ) > fun_li9223120564235649482t_bool ).

tff(func_def_916,type,
    aa_lis8293019882697296747r_bool: ( fun_li9008947015998503554r_bool * list_nat ) > fun_li5586212896732264841r_bool ).

tff(func_def_917,type,
    aa_lis5676137900610579121l_bool: ( fun_li7750400195056479216l_bool * list_nat ) > fun_li1159781111665813011l_bool ).

tff(func_def_918,type,
    aa_lis7721865767101275564t_bool: ( fun_li4804844890985261123t_bool * list_nat ) > fun_li8232183365494450634t_bool ).

tff(func_def_919,type,
    aa_lis7035289734060725000t_bool: ( fun_li2409054529390391199t_bool * list_nat ) > fun_li7545607332453900070t_bool ).

tff(func_def_920,type,
    aa_lis241919026908056775r_bool: ( fun_li1197399218159603166r_bool * list_nat ) > fun_li6758484077797800677r_bool ).

tff(func_def_921,type,
    aa_lis4922630141027518642l_bool: ( fun_li748896040850507121l_bool * list_nat ) > fun_li226239312188596756l_bool ).

tff(func_def_922,type,
    aa_lis6149076652754759531t_bool: ( fun_li2609373428194598530t_bool * list_nat ) > fun_li3442269666789727625t_bool ).

tff(func_def_923,type,
    aa_lis5462500619714208967t_bool: ( fun_li213583066599728606t_bool * list_nat ) > fun_li2755693633749177061t_bool ).

tff(func_def_924,type,
    aa_lis586665551069413254r_bool: ( fun_li313415298244683037r_bool * list_nat ) > fun_li8010384410668617636r_bool ).

tff(func_def_925,type,
    aa_lis4768068104879709938t_bool: ( fun_li8598321315282354825t_bool * list_nat ) > fun_list_nat_bool ).

tff(func_def_926,type,
    aa_lis121307160345442225r_bool: ( fun_li4510401072603889608r_bool * list_nat ) > fun_list_char_bool ).

tff(func_def_927,type,
    aa_list_char_bool: ( fun_list_char_bool * list_char ) > bool ).

tff(func_def_928,type,
    aa_lis1499569060329921180l_bool: ( fun_li5591682779239346907l_bool * list_char ) > fun_list_bool_bool ).

tff(func_def_929,type,
    aa_lis5706148058818898645t_bool: ( fun_li3246207939727701100t_bool * list_char ) > fun_list_int_bool ).

tff(func_def_930,type,
    aa_lis6166431010465545265t_bool: ( fun_li941802030747080648t_bool * list_char ) > fun_list_nat_bool ).

tff(func_def_931,type,
    aa_lis69393864293561840r_bool: ( fun_li8666427833891403271r_bool * list_char ) > fun_list_char_bool ).

tff(func_def_932,type,
    aa_nat_Code_integer: ( fun_nat_Code_integer * nat ) > code_integer ).

tff(func_def_933,type,
    aa_nat_Code_natural: ( fun_nat_Code_natural * nat ) > code_natural ).

tff(func_def_934,type,
    aa_nat_bool: ( fun_nat_bool * nat ) > bool ).

tff(func_def_935,type,
    aa_nat_int: ( fun_nat_int * nat ) > int ).

tff(func_def_936,type,
    aa_nat_list_nat: ( fun_nat_list_nat * nat ) > list_nat ).

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

tff(func_def_938,type,
    aa_nat_num: ( fun_nat_num * nat ) > num ).

tff(func_def_939,type,
    aa_nat_option_num: ( fun_nat_option_num * nat ) > option_num ).

tff(func_def_940,type,
    aa_nat7603221163087113075at_nat: ( fun_na1476630412504255114at_nat * nat ) > product_prod_nat_nat ).

tff(func_def_941,type,
    aa_nat_rat: ( fun_nat_rat * nat ) > rat ).

tff(func_def_942,type,
    aa_nat_set_nat: ( fun_nat_set_nat * nat ) > set_nat ).

tff(func_def_943,type,
    aa_nat6383147911832638789nteger: ( fun_na7078387940644931716nteger * nat ) > fun_Co8499238673658658103nteger ).

tff(func_def_944,type,
    aa_nat5282697797315388251atural: ( fun_na607345901702507418atural * nat ) > fun_Co7398788559141407565atural ).

tff(func_def_945,type,
    aa_nat_fun_bool_bool: ( fun_na9137082442855928016l_bool * nat ) > fun_bool_bool ).

tff(func_def_946,type,
    aa_nat_fun_int_bool: ( fun_nat_fun_int_bool * nat ) > fun_int_bool ).

tff(func_def_947,type,
    aa_nat_fun_int_int: ( fun_nat_fun_int_int * nat ) > fun_int_int ).

tff(func_def_948,type,
    aa_nat2079453845469346690t_bool: ( fun_na5614638261385347865t_bool * nat ) > fun_list_nat_bool ).

tff(func_def_949,type,
    aa_nat_fun_nat_bool: ( fun_nat_fun_nat_bool * nat ) > fun_nat_bool ).

tff(func_def_950,type,
    aa_nat6157064778417537467st_nat: ( fun_na819858167508000762st_nat * nat ) > fun_nat_list_nat ).

tff(func_def_951,type,
    aa_nat_fun_nat_nat: ( fun_nat_fun_nat_nat * nat ) > fun_nat_nat ).

tff(func_def_952,type,
    aa_nat8803788312118491388at_nat: ( fun_na4138050610385705875at_nat * nat ) > fun_na1476630412504255114at_nat ).

tff(func_def_953,type,
    aa_nat8637530788439456283t_bool: ( fun_na3408937105440547634t_bool * nat ) > fun_nat_fun_nat_bool ).

tff(func_def_954,type,
    aa_nat3783148529270815480at_nat: ( fun_na3244735409550470327at_nat * nat ) > fun_nat_fun_nat_nat ).

tff(func_def_955,type,
    aa_nat4158579785191972357at_nat: ( fun_na4143055713577223196at_nat * nat ) > fun_na4138050610385705875at_nat ).

tff(func_def_956,type,
    aa_nat4909001760120733684t_bool: ( fun_na4786964484885125043t_bool * nat ) > fun_na4827981024643048934t_bool ).

tff(func_def_957,type,
    aa_nat5682243440470347102at_nat: ( fun_na1668100129766719005at_nat * nat ) > fun_na8713714802964096592at_nat ).

tff(func_def_958,type,
    aa_nat3713591252005393295on_num: ( fun_na7595719129879163854on_num * nat ) > fun_num_option_num ).

tff(func_def_959,type,
    aa_nat4401263874371387303t_bool: ( fun_na4827981024643048934t_bool * nat ) > fun_Pr7757163693017731481t_bool ).

tff(func_def_960,type,
    aa_nat7997280740862404369at_nat: ( fun_na8713714802964096592at_nat * nat ) > fun_Pr2118491707810114563at_nat ).

tff(func_def_961,type,
    aa_nat_fun_rat_rat: ( fun_nat_fun_rat_rat * nat ) > fun_rat_rat ).

tff(func_def_962,type,
    aa_nat8857836526276733660t_bool: ( fun_na5042103099923536755t_bool * nat ) > fun_set_nat_bool ).

tff(func_def_963,type,
    aa_nat_fun_char_bool: ( fun_na6281512180173406824r_bool * nat ) > fun_char_bool ).

tff(func_def_964,type,
    aa_num_Code_integer: ( fun_num_Code_integer * num ) > code_integer ).

tff(func_def_965,type,
    aa_num_bool: ( fun_num_bool * num ) > bool ).

tff(func_def_966,type,
    aa_num_int: ( fun_num_int * num ) > int ).

tff(func_def_967,type,
    aa_num_nat: ( fun_num_nat * num ) > nat ).

tff(func_def_968,type,
    aa_num_num: ( fun_num_num * num ) > num ).

tff(func_def_969,type,
    aa_num_option_num: ( fun_num_option_num * num ) > option_num ).

tff(func_def_970,type,
    aa_num_rat: ( fun_num_rat * num ) > rat ).

tff(func_def_971,type,
    aa_num5808785979904431436nteger: ( fun_nu2537414170016844299nteger * num ) > fun_num_Code_integer ).

tff(func_def_972,type,
    aa_num_fun_num_bool: ( fun_num_fun_num_bool * num ) > fun_num_bool ).

tff(func_def_973,type,
    aa_num_fun_num_int: ( fun_num_fun_num_int * num ) > fun_num_int ).

tff(func_def_974,type,
    aa_Pro4693618923521437820nteger: ( fun_Pr5876161306168176259nteger * produc8923325533196201883nteger ) > produc8923325533196201883nteger ).

tff(func_def_975,type,
    aa_Pro7165575656943818355atural: ( fun_Pr7769407664385210434atural * produc7822875418678951345atural ) > produc5835291356934675326atural ).

tff(func_def_976,type,
    aa_Pro4501881432599481050t_bool: ( fun_Pr803113274115125473t_bool * product_prod_int_int ) > bool ).

tff(func_def_977,type,
    aa_Pro6970504127699319548nt_int: ( fun_Pr2478283820680522243nt_int * product_prod_int_int ) > product_prod_int_int ).

tff(func_def_978,type,
    aa_Pro6166618844887768661nt_rat: ( fun_Pr1652463973008025892nt_rat * product_prod_int_int ) > rat ).

tff(func_def_979,type,
    aa_Pro1534211998248933470t_bool: ( fun_Pr3099820731930151597t_bool * product_prod_int_int ) > fun_Pr803113274115125473t_bool ).

tff(func_def_980,type,
    aa_Pro4124234152028750080nt_int: ( fun_Pr1308109350235310159nt_int * product_prod_int_int ) > fun_Pr2478283820680522243nt_int ).

tff(func_def_981,type,
    aa_Pro6332413336323567195t_bool: ( fun_Pr3145601080792579042t_bool * product_prod_int_int ) > fun_rat_bool ).

tff(func_def_982,type,
    aa_Pro2232559814647311250t_bool: ( fun_Pr7757163693017731481t_bool * product_prod_nat_nat ) > bool ).

tff(func_def_983,type,
    aa_Pro4240683299535347697at_int: ( fun_Pr7647638413817135296at_int * product_prod_nat_nat ) > int ).

tff(func_def_984,type,
    aa_Pro4243173770044397973at_nat: ( fun_Pr2602117396471556196at_nat * product_prod_nat_nat ) > nat ).

tff(func_def_985,type,
    aa_Pro262675715343573244at_nat: ( fun_Pr2118491707810114563at_nat * product_prod_nat_nat ) > product_prod_nat_nat ).

tff(func_def_986,type,
    aa_Pro2928840338864870335t_bool: ( fun_Pr5932607294251420486t_bool * product_prod_nat_nat ) > fun_int_bool ).

tff(func_def_987,type,
    aa_Pro595088089689268830t_bool: ( fun_Pr248683899324676269t_bool * product_prod_nat_nat ) > fun_Pr7757163693017731481t_bool ).

tff(func_def_988,type,
    aa_Pro8023792847356852296at_nat: ( fun_Pr2477239776880934807at_nat * product_prod_nat_nat ) > fun_Pr2118491707810114563at_nat ).

tff(func_def_989,type,
    aa_Product_unit_bool: ( fun_Pr1572506220757514509t_bool * product_unit ) > bool ).

tff(func_def_990,type,
    aa_Pro1108561329362217960t_unit: ( fun_Pr292408699144966967t_unit * product_unit ) > heap_T5738788834812785303t_unit ).

tff(func_def_991,type,
    aa_Pro7886978635576167513Heap_a: ( fun_Pr5215307506330550056Heap_a * product_unit ) > heap_Time_Heap_a ).

tff(func_def_992,type,
    aa_Pro8294289767544744956t_unit: ( fun_Pr2191293291710260995t_unit * product_unit ) > product_unit ).

tff(func_def_993,type,
    aa_Pro5972434293396891430t_unit: ( fun_Pr5417461343077184813t_unit * product_unit ) > fun_Pr292408699144966967t_unit ).

tff(func_def_994,type,
    aa_Product_unit_a: ( fun_Product_unit_a * product_unit ) > a ).

tff(func_def_995,type,
    aa_rat_Code_integer: ( fun_rat_Code_integer * rat ) > code_integer ).

tff(func_def_996,type,
    aa_rat_bool: ( fun_rat_bool * rat ) > bool ).

tff(func_def_997,type,
    aa_rat_int: ( fun_rat_int * rat ) > int ).

tff(func_def_998,type,
    aa_rat_nat: ( fun_rat_nat * rat ) > nat ).

tff(func_def_999,type,
    aa_rat_num: ( fun_rat_num * rat ) > num ).

tff(func_def_1000,type,
    aa_rat7754553326175492643nt_int: ( fun_ra4503298312962071866nt_int * rat ) > product_prod_int_int ).

tff(func_def_1001,type,
    aa_rat_rat: ( fun_rat_rat * rat ) > rat ).

tff(func_def_1002,type,
    aa_rat8624586542854104963nt_int: ( fun_ra7314870381713115802nt_int * rat ) > set_Pr958786334691620121nt_int ).

tff(func_def_1003,type,
    aa_rat_fun_rat_bool: ( fun_rat_fun_rat_bool * rat ) > fun_rat_bool ).

tff(func_def_1004,type,
    aa_rat_fun_rat_rat: ( fun_rat_fun_rat_rat * rat ) > fun_rat_rat ).

tff(func_def_1005,type,
    aa_set_nat_bool: ( fun_set_nat_bool * set_nat ) > bool ).

tff(func_def_1006,type,
    aa_set7317184552576006522t_bool: ( fun_se3032438776331272065t_bool * set_Pr958786334691620121nt_int ) > bool ).

tff(func_def_1007,type,
    aa_set4118085860027418549nt_rat: ( fun_se593059424582005380nt_rat * set_Pr958786334691620121nt_int ) > rat ).

tff(func_def_1008,type,
    aa_char_bool: ( fun_char_bool * char ) > bool ).

tff(func_def_1009,type,
    aa_char_fun_int_bool: ( fun_ch2282331315503596684t_bool * char ) > fun_int_bool ).

tff(func_def_1010,type,
    aa_char_fun_nat_bool: ( fun_ch2742614267150243304t_bool * char ) > fun_nat_bool ).

tff(func_def_1011,type,
    aa_cha4216456086387821712r_bool: ( fun_ch9086500746998582951r_bool * char ) > fun_char_bool ).

tff(func_def_1012,type,
    aa_fun7169572220525660642r_bool: ( fun_fu7344326129191042041r_bool * fun_Co8499238673658658103nteger ) > bool ).

tff(func_def_1013,type,
    aa_fun2509385170507305080nteger: ( fun_fu4800041728187187127nteger * fun_Co8499238673658658103nteger ) > fun_Pr5876161306168176259nteger ).

tff(func_def_1014,type,
    aa_fun_int_bool_bool: ( fun_fu3953691263982683030l_bool * fun_int_bool ) > bool ).

tff(func_def_1015,type,
    aa_fun5146555767781538748t_bool: ( fun_fu7822069302422884163t_bool * fun_int_bool ) > fun_int_bool ).

tff(func_def_1016,type,
    aa_fun_int_int_bool: ( fun_fun_int_int_bool * fun_int_int ) > bool ).

tff(func_def_1017,type,
    aa_fun8964553180794676938nteger: ( fun_fu6921880696561781257nteger * fun_int_int ) > fun_Co8499238673658658103nteger ).

tff(func_def_1018,type,
    aa_fun4674266849241344294r_bool: ( fun_fu6750301411456490045r_bool * fun_int_int ) > fun_fu7344326129191042041r_bool ).

tff(func_def_1019,type,
    aa_fun3770596143487498376t_bool: ( fun_fu8467804991414204575t_bool * fun_int_int ) > fun_fun_int_int_bool ).

tff(func_def_1020,type,
    aa_fun_nat_bool_bool: ( fun_fu7168253649841883962l_bool * fun_nat_bool ) > bool ).

tff(func_def_1021,type,
    aa_fun3878383735219268284t_bool: ( fun_fu3889889255038636099t_bool * fun_nat_bool ) > fun_nat_bool ).

tff(func_def_1022,type,
    aa_fun1020848501848070430l_bool: ( fun_fu5827305053654988013l_bool * fun_nat_bool ) > fun_fu7168253649841883962l_bool ).

tff(func_def_1023,type,
    aa_fun_nat_nat_bool: ( fun_fun_nat_nat_bool * fun_nat_nat ) > bool ).

tff(func_def_1024,type,
    aa_fun5114738747585492520atural: ( fun_fu6924846375782198887atural * fun_nat_nat ) > fun_Co7398788559141407565atural ).

tff(func_def_1025,type,
    aa_fun3185460345579526648t_bool: ( fun_fu5970656269460422159t_bool * fun_nat_nat ) > fun_fun_nat_nat_bool ).

tff(func_def_1026,type,
    aa_fun1403452029515102102t_bool: ( fun_fu4802881585551670701t_bool * fun_Pr2478283820680522243nt_int ) > bool ).

tff(func_def_1027,type,
    aa_fun7041730090766645614at_rat: ( fun_fu1098312133097393581at_rat * fun_Pr2478283820680522243nt_int ) > fun_rat_rat ).

tff(func_def_1028,type,
    aa_fun8298786006102058668t_bool: ( fun_fu2754956555950464963t_bool * fun_Pr2478283820680522243nt_int ) > fun_fu4802881585551670701t_bool ).

tff(func_def_1029,type,
    aa_fun2103967415933125506t_bool: ( fun_fu2749353902725170073t_bool * fun_Pr2478283820680522243nt_int ) > fun_fun_rat_rat_bool ).

tff(func_def_1030,type,
    aa_fun8663595511526100224l_bool: ( fun_fu5641360819561228055l_bool * fun_Pr7757163693017731481t_bool ) > bool ).

tff(func_def_1031,type,
    aa_fun830836278467416944t_bool: ( fun_fu6897202038601531823t_bool * fun_Pr7757163693017731481t_bool ) > fun_Pr7757163693017731481t_bool ).

tff(func_def_1032,type,
    aa_fun4519828053337421206t_bool: ( fun_fu7919257609373989805t_bool * fun_Pr2118491707810114563at_nat ) > bool ).

tff(func_def_1033,type,
    aa_fun8399641135911395862nt_int: ( fun_fu3064074204415222357nt_int * fun_Pr2118491707810114563at_nat ) > fun_int_int ).

tff(func_def_1034,type,
    aa_fun7527181275634263258t_bool: ( fun_fu4671764723984660721t_bool * fun_Pr2118491707810114563at_nat ) > fun_fun_int_int_bool ).

tff(func_def_1035,type,
    aa_fun2399787666232550060t_bool: ( fun_fu4272674133525273539t_bool * fun_Pr2118491707810114563at_nat ) > fun_fu7919257609373989805t_bool ).

tff(func_def_1036,type,
    aa_fun7583176353580103804t_unit: ( fun_fu7990100517307520643t_unit * fun_Pr292408699144966967t_unit ) > fun_Pr292408699144966967t_unit ).

tff(func_def_1037,type,
    aa_fun8407955803497444028Heap_a: ( fun_fu3400720548862938179Heap_a * fun_Pr5215307506330550056Heap_a ) > fun_Pr5215307506330550056Heap_a ).

tff(func_def_1038,type,
    aa_fun2786189307152378797Heap_a: ( fun_fu4084995482221881524Heap_a * fun_Pr5215307506330550056Heap_a ) > fun_a_6093291656547882009Heap_a ).

tff(func_def_1039,type,
    aa_fun_rat_rat_bool: ( fun_fun_rat_rat_bool * fun_rat_rat ) > bool ).

tff(func_def_1040,type,
    aa_fun5644405980846309865l_bool: ( fun_fu8408893963819803632l_bool * fun_set_nat_bool ) > bool ).

tff(func_def_1041,type,
    aa_fun3565389549526402364t_bool: ( fun_fu7495562154832025027t_bool * fun_set_nat_bool ) > fun_set_nat_bool ).

tff(func_def_1042,type,
    aa_fun2006528745882660120l_bool: ( fun_fu9002003029984831279l_bool * fun_se3032438776331272065t_bool ) > bool ).

tff(func_def_1043,type,
    aa_fun4116018846136612672t_bool: ( fun_fu6908345394967445887t_bool * fun_se3032438776331272065t_bool ) > fun_se3032438776331272065t_bool ).

tff(func_def_1044,type,
    aa_fun558819986861788875t_unit: ( fun_fu1799018503394280658t_unit * fun_a_2990225006182978344t_unit ) > fun_Pr292408699144966967t_unit ).

tff(func_def_1045,type,
    aa_fun7182454221404266251Heap_a: ( fun_fu4828475307307880594Heap_a * fun_a_6093291656547882009Heap_a ) > fun_Pr5215307506330550056Heap_a ).

tff(func_def_1046,type,
    aa_fun5994237636032447228Heap_a: ( fun_fu4363814643544856579Heap_a * fun_a_6093291656547882009Heap_a ) > fun_a_6093291656547882009Heap_a ).

tff(func_def_1047,type,
    aa_a_H4862568901524997081t_unit: ( fun_a_2990225006182978344t_unit * a ) > heap_T5738788834812785303t_unit ).

tff(func_def_1048,type,
    aa_a_H8829438773920479562Heap_a: ( fun_a_6093291656547882009Heap_a * a ) > heap_Time_Heap_a ).

tff(func_def_1049,type,
    aa_a_a: ( fun_a_a * a ) > a ).

tff(func_def_1050,type,
    fChoice_int: fun_int_bool > int ).

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

tff(func_def_1052,type,
    fChoic6978938873391328853at_nat: fun_Pr7757163693017731481t_bool > product_prod_nat_nat ).

tff(func_def_1053,type,
    fChoice_set_nat: fun_set_nat_bool > set_nat ).

tff(func_def_1054,type,
    fChoic2749331249758569069nt_int: fun_se3032438776331272065t_bool > set_Pr958786334691620121nt_int ).

tff(func_def_1055,type,
    fEx_int: fun_fu3953691263982683030l_bool ).

tff(func_def_1056,type,
    fEx_nat: fun_fu7168253649841883962l_bool ).

tff(func_def_1057,type,
    fEx_Pr44684694416842691at_nat: fun_fu5641360819561228055l_bool ).

tff(func_def_1058,type,
    fEx_set_nat: fun_fu8408893963819803632l_bool ).

tff(func_def_1059,type,
    fEx_se7899788091526085595nt_int: fun_fu9002003029984831279l_bool ).

tff(func_def_1060,type,
    fFalse: bool ).

tff(func_def_1061,type,
    fNot: bool > bool ).

tff(func_def_1062,type,
    fTrue: bool ).

tff(func_def_1063,type,
    fconj: ( bool * bool ) > bool ).

tff(func_def_1064,type,
    fdisj: ( bool * bool ) > bool ).

tff(func_def_1065,type,
    fequal_Code_integer: fun_Co8310303586393106575r_bool ).

tff(func_def_1066,type,
    fequal_bool: fun_bo1841576699660343469l_bool ).

tff(func_def_1067,type,
    fequal_int: fun_int_fun_int_bool ).

tff(func_def_1068,type,
    fequal_nat: fun_nat_fun_nat_bool ).

tff(func_def_1069,type,
    fequal_num: fun_num_fun_num_bool ).

tff(func_def_1070,type,
    fequal_fun_nat_bool: fun_fu5827305053654988013l_bool ).

tff(func_def_1071,type,
    member_nat: nat > fun_set_nat_bool ).

tff(func_def_1072,type,
    p: bool ).

tff(func_def_1073,type,
    h: heap_e7401611519738050253t_unit ).

tff(func_def_1074,type,
    m: heap_Time_Heap_a ).

tff(func_def_1075,type,
    t: nat ).

tff(func_def_1076,type,
    sK83: ( nat * fun_nat_bool ) > nat ).

tff(func_def_1077,type,
    sK84: ( nat * fun_nat_bool ) > nat ).

tff(func_def_1078,type,
    sK85: ( fun_nat_bool * nat ) > nat ).

tff(func_def_1079,type,
    sK86: fun_nat_bool > nat ).

tff(func_def_1080,type,
    sK87: fun_nat_bool > nat ).

tff(func_def_1081,type,
    sK88: fun_nat_int > nat ).

tff(func_def_1082,type,
    sK89: fun_nat_nat > nat ).

tff(func_def_1083,type,
    sK90: fun_nat_rat > nat ).

tff(func_def_1084,type,
    sK91: fun_nat_int > nat ).

tff(func_def_1085,type,
    sK92: fun_nat_nat > nat ).

tff(func_def_1086,type,
    sK93: fun_nat_rat > nat ).

tff(func_def_1087,type,
    sK94: ( nat * nat * fun_nat_bool ) > nat ).

tff(func_def_1088,type,
    sK95: ( nat * nat * fun_nat_bool ) > nat ).

tff(func_def_1089,type,
    sK96: nat > nat ).

tff(func_def_1090,type,
    sK97: fun_nat_bool > nat ).

tff(func_def_1091,type,
    sK98: ( nat * fun_nat_bool ) > nat ).

tff(func_def_1092,type,
    sK99: fun_nat_fun_nat_bool > nat ).

tff(func_def_1093,type,
    sK100: fun_nat_fun_nat_bool > nat ).

tff(func_def_1094,type,
    sK101: fun_nat_fun_nat_bool > nat ).

tff(func_def_1095,type,
    sK102: fun_nat_fun_nat_bool > nat ).

tff(func_def_1096,type,
    sK103: fun_nat_fun_nat_bool > nat ).

tff(func_def_1097,type,
    sK104: ( nat * nat * fun_nat_bool ) > nat ).

tff(func_def_1098,type,
    sK105: ( nat * fun_nat_bool * nat ) > nat ).

tff(func_def_1099,type,
    sK106: fun_nat_nat > nat ).

tff(func_def_1100,type,
    sK107: fun_nat_nat > nat ).

tff(func_def_1101,type,
    sK108: ( fun_nat_bool * nat ) > nat ).

tff(func_def_1102,type,
    sK109: fun_nat_nat > nat ).

tff(func_def_1103,type,
    sK110: fun_nat_nat > nat ).

tff(func_def_1104,type,
    sK111: ( nat * fun_nat_bool ) > nat ).

tff(func_def_1105,type,
    sK112: nat > nat ).

tff(func_def_1106,type,
    sK113: nat > nat ).

tff(func_def_1107,type,
    sK114: nat > nat ).

tff(func_def_1108,type,
    sK115: nat > nat ).

tff(func_def_1109,type,
    sK116: ( nat * nat ) > nat ).

tff(func_def_1110,type,
    sK117: ( nat * nat ) > nat ).

tff(func_def_1111,type,
    sK118: ( nat * nat ) > nat ).

tff(func_def_1112,type,
    sK119: ( nat * nat ) > nat ).

tff(func_def_1113,type,
    sK120: fun_nat_bool > nat ).

tff(func_def_1114,type,
    sK121: ( fun_nat_bool * nat ) > nat ).

tff(func_def_1115,type,
    sK122: fun_nat_bool > nat ).

tff(func_def_1116,type,
    sK123: ( fun_nat_bool * nat ) > nat ).

tff(func_def_1117,type,
    sK124: fun_nat_fun_nat_bool > nat ).

tff(func_def_1118,type,
    sK125: fun_nat_fun_nat_bool > nat ).

tff(func_def_1119,type,
    sK126: fun_nat_fun_nat_bool > nat ).

tff(func_def_1120,type,
    sK127: fun_nat_fun_nat_bool > nat ).

tff(func_def_1121,type,
    sK128: fun_nat_rat > nat ).

tff(func_def_1122,type,
    sK129: fun_nat_rat > nat ).

tff(func_def_1123,type,
    sK130: fun_nat_rat > nat ).

tff(func_def_1124,type,
    sK131: fun_nat_rat > nat ).

tff(func_def_1125,type,
    sK132: fun_nat_rat > nat ).

tff(func_def_1126,type,
    sK133: fun_nat_rat > nat ).

tff(func_def_1127,type,
    sK134: fun_nat_rat > nat ).

tff(func_def_1128,type,
    sK135: fun_nat_rat > nat ).

tff(func_def_1129,type,
    sK136: ( heap_Time_Heap_a * nat ) > heap_e7401611519738050253t_unit ).

tff(func_def_1130,type,
    sK137: ( heap_Time_Heap_a * nat ) > heap_e7401611519738050253t_unit ).

tff(func_def_1131,type,
    sK138: ( heap_Time_Heap_a * nat ) > heap_e7401611519738050253t_unit ).

tff(func_def_1132,type,
    sK139: ( nat * fun_nat_bool ) > nat ).

tff(func_def_1133,type,
    sK140: ( nat * fun_nat_bool ) > nat ).

tff(func_def_1134,type,
    sK141: nat > nat ).

tff(func_def_1135,type,
    sK142: ( nat * fun_nat_bool ) > nat ).

tff(func_def_1136,type,
    sK143: ( nat * fun_nat_bool ) > nat ).

tff(func_def_1137,type,
    sK144: nat > nat ).

tff(func_def_1138,type,
    sK145: ( nat * nat ) > nat ).

tff(func_def_1139,type,
    sK146: fun_nat_bool > nat ).

tff(func_def_1140,type,
    sK147: fun_nat_bool > nat ).

tff(func_def_1141,type,
    sK148: fun_nat_fun_nat_bool > nat ).

tff(func_def_1142,type,
    sK149: fun_nat_fun_nat_bool > nat ).

tff(func_def_1143,type,
    sK150: fun_nat_fun_nat_bool > nat ).

tff(func_def_1144,type,
    sK151: fun_nat_fun_nat_bool > nat ).

tff(func_def_1145,type,
    sK152: fun_nat_bool > nat ).

tff(func_def_1146,type,
    sK153: fun_nat_nat > nat ).

tff(func_def_1147,type,
    sK154: fun_nat_nat > nat ).

tff(func_def_1148,type,
    sK155: ( nat * fun_nat_bool ) > nat ).

tff(func_def_1149,type,
    sK156: ( nat * fun_nat_bool ) > nat ).

tff(func_def_1150,type,
    sK157: fun_nat_bool > nat ).

tff(func_def_1151,type,
    sK158: fun_nat_bool > nat ).

tff(func_def_1152,type,
    sK159: fun_nat_fun_nat_bool > nat ).

tff(func_def_1153,type,
    sK160: fun_nat_fun_nat_bool > nat ).

tff(func_def_1154,type,
    sK161: fun_nat_fun_nat_bool > nat ).

tff(func_def_1155,type,
    sK162: fun_nat_fun_nat_bool > nat ).

tff(func_def_1156,type,
    sK163: ( nat * nat ) > nat ).

tff(func_def_1157,type,
    sK164: ( nat * fun_nat_bool ) > nat ).

tff(func_def_1158,type,
    sK165: ( nat * fun_nat_bool ) > nat ).

tff(func_def_1159,type,
    sK166: ( nat * fun_nat_bool ) > nat ).

tff(func_def_1160,type,
    sK167: ( nat * fun_nat_bool ) > nat ).

tff(func_def_1161,type,
    sK168: ( nat * nat ) > nat ).

tff(func_def_1162,type,
    sK169: ( nat * nat ) > nat ).

tff(func_def_1163,type,
    sK170: fun_nat_bool > nat ).

tff(func_def_1164,type,
    sK171: fun_nat_fun_nat_bool > nat ).

tff(func_def_1165,type,
    sK172: fun_nat_fun_nat_bool > nat ).

tff(func_def_1166,type,
    sK173: fun_nat_fun_nat_bool > nat ).

tff(func_def_1167,type,
    sK174: fun_nat_fun_nat_bool > nat ).

tff(func_def_1168,type,
    sK175: fun_nat_fun_nat_bool > nat ).

tff(func_def_1169,type,
    sK176: fun_nat_bool > nat ).

tff(func_def_1170,type,
    sK177: ( fun_nat_bool * nat ) > nat ).

tff(func_def_1171,type,
    sK178: fun_nat_bool > nat ).

tff(func_def_1172,type,
    sK179: fun_nat_bool > nat ).

tff(func_def_1173,type,
    sK180: nat > nat ).

tff(func_def_1174,type,
    sK181: ( fun_nat_bool * fun_nat_bool * nat ) > nat ).

tff(func_def_1175,type,
    sK182: ( fun_nat_bool * fun_nat_bool * fun_nat_bool * fun_nat_bool ) > nat ).

tff(func_def_1176,type,
    sK183: ( fun_nat_bool * fun_nat_bool * nat ) > nat ).

tff(func_def_1177,type,
    sK184: ( fun_nat_bool * fun_nat_bool * nat ) > nat ).

tff(func_def_1178,type,
    sK185: ( fun_nat_bool * fun_nat_bool * fun_nat_bool * fun_nat_bool ) > nat ).

tff(func_def_1179,type,
    sK186: ( fun_nat_bool * fun_nat_bool * nat ) > nat ).

tff(func_def_1180,type,
    sK187: nat > nat ).

tff(func_def_1181,type,
    sK188: nat > nat ).

tff(func_def_1182,type,
    sK189: nat > nat ).

tff(func_def_1183,type,
    sK190: nat > nat ).

tff(func_def_1184,type,
    sK191: ( fun_nat_bool * fun_nat_bool * nat ) > nat ).

tff(func_def_1185,type,
    sK192: ( fun_nat_bool * fun_nat_bool * fun_nat_bool * fun_nat_bool ) > nat ).

tff(func_def_1186,type,
    sK193: ( fun_nat_bool * fun_nat_bool * nat ) > nat ).

tff(func_def_1187,type,
    sK194: ( fun_nat_bool * fun_nat_bool * nat ) > nat ).

tff(func_def_1188,type,
    sK195: ( fun_nat_bool * fun_nat_bool * fun_nat_bool * fun_nat_bool ) > nat ).

tff(func_def_1189,type,
    sK196: ( fun_nat_bool * fun_nat_bool * nat ) > nat ).

tff(func_def_1190,type,
    sK197: nat > nat ).

tff(func_def_1191,type,
    sK198: nat > nat ).

tff(func_def_1192,type,
    sK199: nat > nat ).

tff(func_def_1193,type,
    sK200: nat > nat ).

tff(func_def_1194,type,
    sK201: ( nat * nat ) > nat ).

tff(func_def_1195,type,
    sK202: ( nat * nat ) > nat ).

tff(func_def_1196,type,
    sK203: ( nat * nat ) > nat ).

tff(func_def_1197,type,
    sK204: ( nat * nat ) > nat ).

tff(func_def_1198,type,
    sK205: ( nat * nat ) > nat ).

tff(func_def_1199,type,
    sK206: fun_nat_fun_nat_bool > nat ).

tff(func_def_1200,type,
    sK207: fun_nat_fun_nat_bool > nat ).

tff(func_def_1201,type,
    sK208: fun_nat_fun_nat_bool > nat ).

tff(func_def_1202,type,
    sK209: fun_nat_fun_nat_bool > nat ).

tff(func_def_1203,type,
    sK210: fun_nat_fun_nat_bool > nat ).

tff(func_def_1204,type,
    sK211: ( heap_T5738788834812785303t_unit * fun_Pr5215307506330550056Heap_a * nat ) > product_unit ).

tff(func_def_1205,type,
    sK212: ( heap_T5738788834812785303t_unit * fun_Pr5215307506330550056Heap_a * nat ) > heap_e7401611519738050253t_unit ).

tff(func_def_1206,type,
    sK213: ( fun_Pr5215307506330550056Heap_a * fun_Pr5215307506330550056Heap_a ) > product_unit ).

tff(func_def_1207,type,
    sK214: ( nat * nat ) > nat ).

tff(func_def_1208,type,
    sK215: ( nat * nat ) > nat ).

tff(func_def_1209,type,
    sK216: fun_nat_bool > nat ).

tff(func_def_1210,type,
    sK217: ( nat * fun_nat_int * int ) > nat ).

tff(func_def_1211,type,
    sK218: ( nat * fun_nat_int ) > nat ).

tff(func_def_1212,type,
    sK219: fun_nat_bool > nat ).

tff(func_def_1213,type,
    sK220: fun_nat_bool > nat ).

tff(func_def_1214,type,
    sK221: fun_nat_bool > nat ).

tff(func_def_1215,type,
    sK222: fun_num_nat > num ).

tff(func_def_1216,type,
    sK223: fun_num_nat > num ).

tff(func_def_1217,type,
    sK224: fun_num_nat > num ).

tff(func_def_1218,type,
    sK225: fun_num_nat > num ).

tff(func_def_1219,type,
    sK226: fun_num_nat > num ).

tff(func_def_1220,type,
    sK227: fun_num_nat > num ).

tff(func_def_1221,type,
    sK228: fun_num_nat > num ).

tff(func_def_1222,type,
    sK229: fun_num_nat > num ).

tff(func_def_1223,type,
    sK230: fun_num_nat > num ).

tff(func_def_1224,type,
    sK231: fun_num_nat > num ).

tff(func_def_1225,type,
    sK232: fun_num_nat > num ).

tff(func_def_1226,type,
    sK233: fun_num_nat > num ).

tff(func_def_1227,type,
    sK234: ( fun_nat_bool * nat * nat ) > nat ).

tff(func_def_1228,type,
    sK235: ( fun_nat_bool * nat * nat ) > nat ).

tff(func_def_1229,type,
    sK236: nat > nat ).

tff(func_def_1230,type,
    sK237: nat > nat ).

tff(func_def_1231,type,
    sK238: nat > nat ).

tff(func_def_1232,type,
    sK239: ( nat * nat ) > nat ).

tff(func_def_1233,type,
    sK240: ( nat * nat ) > nat ).

tff(func_def_1234,type,
    sK241: ( nat * nat ) > nat ).

tff(func_def_1235,type,
    sK242: fun_nat_bool > nat ).

tff(func_def_1236,type,
    sK243: ( nat * nat ) > nat ).

tff(func_def_1237,type,
    sK244: ( nat * nat ) > nat ).

tff(func_def_1238,type,
    sK245: ( nat * nat ) > nat ).

tff(func_def_1239,type,
    sK246: ( nat * nat * nat ) > nat ).

tff(func_def_1240,type,
    sK247: ( nat * nat * nat ) > nat ).

tff(func_def_1241,type,
    sK248: ( nat * nat ) > nat ).

tff(func_def_1242,type,
    sK249: ( nat * nat ) > nat ).

tff(func_def_1243,type,
    sK250: ( nat * nat ) > nat ).

tff(func_def_1244,type,
    sK251: ( nat * fun_nat_bool * nat ) > nat ).

tff(func_def_1245,type,
    sK252: ( nat * fun_nat_bool * nat ) > nat ).

tff(func_def_1246,type,
    sK253: ( nat * nat * nat ) > nat ).

tff(func_def_1247,type,
    sK254: ( nat * nat * nat ) > nat ).

tff(func_def_1248,type,
    sK255: ( nat * nat * nat ) > nat ).

tff(func_def_1249,type,
    sK256: ( nat * nat * nat ) > nat ).

tff(func_def_1250,type,
    sK257: ( nat * nat * nat ) > nat ).

tff(func_def_1251,type,
    sK258: ( nat * nat ) > nat ).

tff(func_def_1252,type,
    sK259: ( fun_nat_bool * nat * nat ) > nat ).

tff(func_def_1253,type,
    sK260: ( fun_nat_bool * nat * nat ) > nat ).

tff(func_def_1254,type,
    sK261: ( fun_nat_bool * nat * nat ) > nat ).

tff(func_def_1255,type,
    sK262: fun_nat_int > nat ).

tff(func_def_1256,type,
    sK263: fun_nat_int > nat ).

tff(func_def_1257,type,
    sK264: ( int * int ) > nat ).

tff(func_def_1258,type,
    sK265: int > nat ).

tff(func_def_1259,type,
    sK266: fun_nat_rat > nat ).

tff(func_def_1260,type,
    sK267: fun_nat_Code_integer > nat ).

tff(func_def_1261,type,
    sK268: fun_nat_rat > nat ).

tff(func_def_1262,type,
    sK269: fun_nat_Code_integer > nat ).

tff(func_def_1263,type,
    sK270: int > nat ).

tff(func_def_1264,type,
    sK271: int > nat ).

tff(func_def_1265,type,
    sK272: fun_int_bool > nat ).

tff(func_def_1266,type,
    sK273: fun_int_bool > nat ).

tff(func_def_1267,type,
    sK274: ( int * fun_int_bool ) > int ).

tff(func_def_1268,type,
    sK275: ( fun_int_bool * int ) > int ).

tff(func_def_1269,type,
    sK276: ( fun_int_bool * int ) > int ).

tff(func_def_1270,type,
    sK277: ( int * fun_int_bool ) > int ).

tff(func_def_1271,type,
    sK278: ( int * fun_int_bool ) > int ).

tff(func_def_1272,type,
    sK279: ( int * int * fun_int_bool ) > int ).

tff(func_def_1273,type,
    sK280: ( int * fun_int_bool * int ) > int ).

tff(func_def_1274,type,
    sK281: int > int ).

tff(func_def_1275,type,
    sK282: int > int ).

tff(func_def_1276,type,
    sK283: int > int ).

tff(func_def_1277,type,
    sK284: int > int ).

tff(func_def_1278,type,
    sK285: ( int * fun_int_bool ) > int ).

tff(func_def_1279,type,
    sK286: fun_int_fun_int_bool > int ).

tff(func_def_1280,type,
    sK287: fun_int_fun_int_bool > int ).

tff(func_def_1281,type,
    sK288: fun_int_fun_int_bool > int ).

tff(func_def_1282,type,
    sK289: fun_int_fun_int_bool > int ).

tff(func_def_1283,type,
    sK290: ( int * fun_int_bool ) > int ).

tff(func_def_1284,type,
    sK291: fun_int_fun_int_bool > int ).

tff(func_def_1285,type,
    sK292: fun_int_fun_int_bool > int ).

tff(func_def_1286,type,
    sK293: fun_int_fun_int_bool > int ).

tff(func_def_1287,type,
    sK294: fun_int_fun_int_bool > int ).

tff(func_def_1288,type,
    sK295: fun_int_fun_int_bool > int ).

tff(func_def_1289,type,
    sK296: int > int ).

tff(func_def_1290,type,
    sK297: int > int ).

tff(func_def_1291,type,
    sK298: ( fun_int_bool * fun_int_bool * int ) > int ).

tff(func_def_1292,type,
    sK299: ( fun_int_bool * fun_int_bool * fun_int_bool * fun_int_bool ) > int ).

tff(func_def_1293,type,
    sK300: ( fun_int_bool * fun_int_bool * int ) > int ).

tff(func_def_1294,type,
    sK301: ( fun_int_bool * fun_int_bool * int ) > int ).

tff(func_def_1295,type,
    sK302: ( fun_int_bool * fun_int_bool * fun_int_bool * fun_int_bool ) > int ).

tff(func_def_1296,type,
    sK303: ( fun_int_bool * fun_int_bool * int ) > int ).

tff(func_def_1297,type,
    sK304: int > int ).

tff(func_def_1298,type,
    sK305: int > int ).

tff(func_def_1299,type,
    sK306: int > int ).

tff(func_def_1300,type,
    sK307: int > int ).

tff(func_def_1301,type,
    sK308: ( fun_int_bool * fun_int_bool * int ) > int ).

tff(func_def_1302,type,
    sK309: ( fun_int_bool * fun_int_bool * fun_int_bool * fun_int_bool ) > int ).

tff(func_def_1303,type,
    sK310: ( fun_int_bool * fun_int_bool * int ) > int ).

tff(func_def_1304,type,
    sK311: ( fun_int_bool * fun_int_bool * int ) > int ).

tff(func_def_1305,type,
    sK312: ( fun_int_bool * fun_int_bool * fun_int_bool * fun_int_bool ) > int ).

tff(func_def_1306,type,
    sK313: ( fun_int_bool * fun_int_bool * int ) > int ).

tff(func_def_1307,type,
    sK314: int > int ).

tff(func_def_1308,type,
    sK315: int > int ).

tff(func_def_1309,type,
    sK316: int > int ).

tff(func_def_1310,type,
    sK317: int > int ).

tff(func_def_1311,type,
    sK318: int > nat ).

tff(func_def_1312,type,
    sK319: int > nat ).

tff(func_def_1313,type,
    sK320: int > nat ).

tff(func_def_1314,type,
    sK321: int > nat ).

tff(func_def_1315,type,
    sK322: int > nat ).

tff(func_def_1316,type,
    sK323: int > nat ).

tff(func_def_1317,type,
    sK324: int > nat ).

tff(func_def_1318,type,
    sK325: int > nat ).

tff(func_def_1319,type,
    sK326: int > nat ).

tff(func_def_1320,type,
    sK327: int > nat ).

tff(func_def_1321,type,
    sK328: int > nat ).

tff(func_def_1322,type,
    sK329: int > nat ).

tff(func_def_1323,type,
    sK330: ( int * int ) > nat ).

tff(func_def_1324,type,
    sK331: int > nat ).

tff(func_def_1325,type,
    sK332: int > nat ).

tff(func_def_1326,type,
    sK333: ( rat * rat ) > rat ).

tff(func_def_1327,type,
    sK334: ( rat * rat ) > rat ).

tff(func_def_1328,type,
    sK335: rat > rat ).

tff(func_def_1329,type,
    sK336: rat > rat ).

tff(func_def_1330,type,
    sK337: rat > rat ).

tff(func_def_1331,type,
    sK338: rat > rat ).

tff(func_def_1332,type,
    sK339: fun_int_rat > int ).

tff(func_def_1333,type,
    sK340: fun_int_rat > int ).

tff(func_def_1334,type,
    sK341: fun_nat_rat > nat ).

tff(func_def_1335,type,
    sK342: fun_nat_rat > nat ).

tff(func_def_1336,type,
    sK343: fun_rat_rat > rat ).

tff(func_def_1337,type,
    sK344: fun_rat_rat > rat ).

tff(func_def_1338,type,
    sK345: fun_rat_rat > rat ).

tff(func_def_1339,type,
    sK346: fun_rat_rat > rat ).

tff(func_def_1340,type,
    sK347: fun_rat_rat > rat ).

tff(func_def_1341,type,
    sK348: fun_rat_rat > rat ).

tff(func_def_1342,type,
    sK349: fun_int_rat > int ).

tff(func_def_1343,type,
    sK350: fun_int_rat > int ).

tff(func_def_1344,type,
    sK351: fun_nat_rat > nat ).

tff(func_def_1345,type,
    sK352: fun_nat_rat > nat ).

tff(func_def_1346,type,
    sK353: fun_rat_rat > rat ).

tff(func_def_1347,type,
    sK354: fun_rat_rat > rat ).

tff(func_def_1348,type,
    sK355: ( rat * rat * rat ) > rat ).

tff(func_def_1349,type,
    sK356: ( rat * rat * rat ) > rat ).

tff(func_def_1350,type,
    sK357: ( rat * rat ) > rat ).

tff(func_def_1351,type,
    sK358: ( rat * rat ) > rat ).

tff(func_def_1352,type,
    sK359: fun_rat_fun_rat_bool > rat ).

tff(func_def_1353,type,
    sK360: fun_rat_fun_rat_bool > rat ).

tff(func_def_1354,type,
    sK361: fun_rat_fun_rat_bool > rat ).

tff(func_def_1355,type,
    sK362: fun_rat_fun_rat_bool > rat ).

tff(func_def_1356,type,
    sK363: fun_int_rat > int ).

tff(func_def_1357,type,
    sK364: fun_int_rat > int ).

tff(func_def_1358,type,
    sK365: fun_rat_rat > rat ).

tff(func_def_1359,type,
    sK366: fun_rat_rat > rat ).

tff(func_def_1360,type,
    sK367: fun_rat_rat > rat ).

tff(func_def_1361,type,
    sK368: fun_rat_rat > rat ).

tff(func_def_1362,type,
    sK369: fun_rat_rat > rat ).

tff(func_def_1363,type,
    sK370: fun_rat_rat > rat ).

tff(func_def_1364,type,
    sK371: fun_rat_rat > rat ).

tff(func_def_1365,type,
    sK372: fun_rat_rat > rat ).

tff(func_def_1366,type,
    sK373: rat > nat ).

tff(func_def_1367,type,
    sK374: ( rat * rat ) > nat ).

tff(func_def_1368,type,
    sK375: rat > nat ).

tff(func_def_1369,type,
    sK376: fun_nat_rat > nat ).

tff(func_def_1370,type,
    sK377: fun_nat_rat > nat ).

tff(func_def_1371,type,
    sK378: rat > nat ).

tff(func_def_1372,type,
    sK379: fun_rat_rat > rat ).

tff(func_def_1373,type,
    sK380: fun_rat_rat > rat ).

tff(func_def_1374,type,
    sK381: fun_rat_rat > rat ).

tff(func_def_1375,type,
    sK382: fun_rat_rat > rat ).

tff(func_def_1376,type,
    sK383: fun_rat_rat > rat ).

tff(func_def_1377,type,
    sK384: fun_rat_rat > rat ).

tff(func_def_1378,type,
    sK385: fun_rat_rat > rat ).

tff(func_def_1379,type,
    sK386: fun_rat_rat > rat ).

tff(func_def_1380,type,
    sK387: fun_rat_fun_rat_bool > rat ).

tff(func_def_1381,type,
    sK388: fun_rat_fun_rat_bool > rat ).

tff(func_def_1382,type,
    sK389: fun_rat_fun_rat_bool > rat ).

tff(func_def_1383,type,
    sK390: fun_rat_fun_rat_bool > rat ).

tff(func_def_1384,type,
    sK391: fun_rat_fun_rat_bool > rat ).

tff(func_def_1385,type,
    sK392: ( rat * rat ) > rat ).

tff(func_def_1386,type,
    sK393: rat > rat ).

tff(func_def_1387,type,
    sK394: rat > rat ).

tff(func_def_1388,type,
    sK395: ( fun_rat_bool * fun_rat_bool * rat ) > rat ).

tff(func_def_1389,type,
    sK396: ( fun_rat_bool * fun_rat_bool * fun_rat_bool * fun_rat_bool ) > rat ).

tff(func_def_1390,type,
    sK397: ( fun_rat_bool * fun_rat_bool * rat ) > rat ).

tff(func_def_1391,type,
    sK398: ( fun_rat_bool * fun_rat_bool * rat ) > rat ).

tff(func_def_1392,type,
    sK399: ( fun_rat_bool * fun_rat_bool * fun_rat_bool * fun_rat_bool ) > rat ).

tff(func_def_1393,type,
    sK400: ( fun_rat_bool * fun_rat_bool * rat ) > rat ).

tff(func_def_1394,type,
    sK401: rat > rat ).

tff(func_def_1395,type,
    sK402: rat > rat ).

tff(func_def_1396,type,
    sK403: rat > rat ).

tff(func_def_1397,type,
    sK404: rat > rat ).

tff(func_def_1398,type,
    sK405: ( fun_rat_bool * fun_rat_bool * rat ) > rat ).

tff(func_def_1399,type,
    sK406: ( fun_rat_bool * fun_rat_bool * fun_rat_bool * fun_rat_bool ) > rat ).

tff(func_def_1400,type,
    sK407: ( fun_rat_bool * fun_rat_bool * rat ) > rat ).

tff(func_def_1401,type,
    sK408: ( fun_rat_bool * fun_rat_bool * rat ) > rat ).

tff(func_def_1402,type,
    sK409: ( fun_rat_bool * fun_rat_bool * fun_rat_bool * fun_rat_bool ) > rat ).

tff(func_def_1403,type,
    sK410: ( fun_rat_bool * fun_rat_bool * rat ) > rat ).

tff(func_def_1404,type,
    sK411: rat > rat ).

tff(func_def_1405,type,
    sK412: rat > rat ).

tff(func_def_1406,type,
    sK413: rat > rat ).

tff(func_def_1407,type,
    sK414: rat > rat ).

tff(func_def_1408,type,
    sK415: ( fun_Pr292408699144966967t_unit * fun_Pr292408699144966967t_unit ) > product_unit ).

tff(func_def_1409,type,
    sK416: list_char > char ).

tff(func_def_1410,type,
    sK417: list_char > list_char ).

tff(func_def_1411,type,
    sK418: fun_list_char_bool > char ).

tff(func_def_1412,type,
    sK419: fun_list_char_bool > char ).

tff(func_def_1413,type,
    sK420: fun_list_char_bool > list_char ).

tff(func_def_1414,type,
    sK421: fun_list_char_bool > char ).

tff(func_def_1415,type,
    sK422: ( heap_T5738788834812785303t_unit * fun_Pr292408699144966967t_unit * nat ) > product_unit ).

tff(func_def_1416,type,
    sK423: ( heap_T5738788834812785303t_unit * fun_Pr292408699144966967t_unit * nat ) > heap_e7401611519738050253t_unit ).

tff(func_def_1417,type,
    sK424: ( heap_T5738788834812785303t_unit * nat ) > heap_e7401611519738050253t_unit ).

tff(func_def_1418,type,
    sK425: ( heap_T5738788834812785303t_unit * nat ) > heap_e7401611519738050253t_unit ).

tff(func_def_1419,type,
    sK426: ( heap_T5738788834812785303t_unit * nat ) > heap_e7401611519738050253t_unit ).

tff(func_def_1420,type,
    sK427: ( fun_a_6093291656547882009Heap_a * fun_a_6093291656547882009Heap_a ) > a ).

tff(func_def_1421,type,
    sK428: ( heap_Time_Heap_a * fun_a_6093291656547882009Heap_a * nat ) > a ).

tff(func_def_1422,type,
    sK429: ( heap_Time_Heap_a * fun_a_6093291656547882009Heap_a * nat ) > heap_e7401611519738050253t_unit ).

tff(func_def_1423,type,
    sK430: ( heap_Time_Heap_a * fun_a_2990225006182978344t_unit * nat ) > a ).

tff(func_def_1424,type,
    sK431: ( heap_Time_Heap_a * fun_a_2990225006182978344t_unit * nat ) > heap_e7401611519738050253t_unit ).

tff(func_def_1425,type,
    sK432: ( nat * nat * nat ) > nat ).

tff(func_def_1426,type,
    sK433: num > num ).

tff(func_def_1427,type,
    sK434: num > num ).

tff(func_def_1428,type,
    sK435: fun_int_bool > int ).

tff(func_def_1429,type,
    sK436: fun_int_bool > int ).

tff(func_def_1430,type,
    sK437: fun_num_num > num ).

tff(func_def_1431,type,
    sK438: fun_num_num > num ).

tff(func_def_1432,type,
    sK439: fun_num_num > num ).

tff(func_def_1433,type,
    sK440: fun_num_num > num ).

tff(func_def_1434,type,
    sK441: fun_num_num > num ).

tff(func_def_1435,type,
    sK442: fun_num_num > num ).

tff(func_def_1436,type,
    sK443: fun_num_num > num ).

tff(func_def_1437,type,
    sK444: fun_num_num > num ).

tff(func_def_1438,type,
    sK445: fun_nat_fun_nat_bool > nat ).

tff(func_def_1439,type,
    sK446: fun_nat_fun_nat_bool > nat ).

tff(func_def_1440,type,
    sK447: fun_nat_fun_nat_bool > nat ).

tff(func_def_1441,type,
    sK448: ( fun_nat_int * nat * nat ) > nat ).

tff(func_def_1442,type,
    sK449: ( nat * nat * fun_nat_int * int ) > nat ).

tff(func_def_1443,type,
    sK450: ( nat * fun_nat_int * int ) > nat ).

tff(func_def_1444,type,
    sK451: ( nat * fun_nat_int ) > nat ).

tff(func_def_1445,type,
    sK452: ( int * fun_int_bool ) > int ).

tff(func_def_1446,type,
    sK453: fun_int_bool > int ).

tff(func_def_1447,type,
    sK454: ( fun_int_bool * fun_int_bool * int ) > int ).

tff(func_def_1448,type,
    sK455: ( int * fun_int_bool ) > int ).

tff(func_def_1449,type,
    sK456: ( int * fun_int_bool ) > int ).

tff(func_def_1450,type,
    sK457: fun_int_bool > int ).

tff(func_def_1451,type,
    sK458: ( fun_int_bool * fun_int_bool * int ) > int ).

tff(func_def_1452,type,
    sK459: ( int * fun_int_bool ) > int ).

tff(func_def_1453,type,
    sK460: ( int * fun_int_bool ) > int ).

tff(func_def_1454,type,
    sK461: ( int * fun_int_bool ) > int ).

tff(func_def_1455,type,
    sK462: ( int * fun_int_bool ) > int ).

tff(func_def_1456,type,
    sK463: ( fun_int_bool * int ) > int ).

tff(func_def_1457,type,
    sK464: ( fun_int_bool * int ) > int ).

tff(func_def_1458,type,
    sK465: ( int * fun_int_bool ) > int ).

tff(func_def_1459,type,
    sK466: ( int * fun_int_bool ) > int ).

tff(func_def_1460,type,
    sK467: ( fun_int_bool * int ) > int ).

tff(func_def_1461,type,
    sK468: ( fun_int_bool * int ) > int ).

tff(func_def_1462,type,
    sK469: fun_nat_bool > int ).

tff(func_def_1463,type,
    sK470: fun_nat_bool > nat ).

tff(func_def_1464,type,
    sK471: fun_nat_bool > nat ).

tff(func_def_1465,type,
    sK472: fun_nat_bool > int ).

tff(func_def_1466,type,
    sK473: ( fun_nat_bool * int ) > nat ).

tff(func_def_1467,type,
    sK474: fun_num_int > num ).

tff(func_def_1468,type,
    sK475: fun_num_int > num ).

tff(func_def_1469,type,
    sK476: fun_num_int > num ).

tff(func_def_1470,type,
    sK477: fun_num_int > num ).

tff(func_def_1471,type,
    sK478: fun_num_int > num ).

tff(func_def_1472,type,
    sK479: fun_num_int > num ).

tff(func_def_1473,type,
    sK480: fun_num_int > num ).

tff(func_def_1474,type,
    sK481: fun_num_int > num ).

tff(func_def_1475,type,
    sK482: fun_num_int > num ).

tff(func_def_1476,type,
    sK483: fun_num_int > num ).

tff(func_def_1477,type,
    sK484: ( fun_int_bool * int * int ) > int ).

tff(func_def_1478,type,
    sK485: ( fun_int_bool * int * int ) > int ).

tff(func_def_1479,type,
    sK486: ( fun_int_bool * int * int ) > int ).

tff(func_def_1480,type,
    sK487: ( fun_int_bool * int * int ) > int ).

tff(func_def_1481,type,
    sK488: ( rat * fun_rat_bool ) > rat ).

tff(func_def_1482,type,
    sK489: ( rat * fun_rat_bool ) > rat ).

tff(func_def_1483,type,
    sK490: ( fun_rat_bool * rat ) > rat ).

tff(func_def_1484,type,
    sK491: ( fun_rat_bool * rat ) > rat ).

tff(func_def_1485,type,
    sK492: ( rat * fun_rat_bool ) > rat ).

tff(func_def_1486,type,
    sK493: ( rat * fun_rat_bool ) > rat ).

tff(func_def_1487,type,
    sK494: ( fun_rat_bool * rat ) > rat ).

tff(func_def_1488,type,
    sK495: ( fun_rat_bool * rat ) > rat ).

tff(func_def_1489,type,
    sK496: ( code_integer * fun_Co8822979462182099027r_bool ) > code_integer ).

tff(func_def_1490,type,
    sK497: ( code_integer * fun_Co8822979462182099027r_bool ) > code_integer ).

tff(func_def_1491,type,
    sK498: ( fun_Co8822979462182099027r_bool * code_integer ) > code_integer ).

tff(func_def_1492,type,
    sK499: ( fun_Co8822979462182099027r_bool * code_integer ) > code_integer ).

tff(func_def_1493,type,
    sK500: ( code_integer * fun_Co8822979462182099027r_bool ) > code_integer ).

tff(func_def_1494,type,
    sK501: ( code_integer * fun_Co8822979462182099027r_bool ) > code_integer ).

tff(func_def_1495,type,
    sK502: ( fun_Co8822979462182099027r_bool * code_integer ) > code_integer ).

tff(func_def_1496,type,
    sK503: ( fun_Co8822979462182099027r_bool * code_integer ) > code_integer ).

tff(func_def_1497,type,
    sK504: fun_Co8499238673658658103nteger > code_integer ).

tff(func_def_1498,type,
    sK505: fun_Co8499238673658658103nteger > code_integer ).

tff(func_def_1499,type,
    sK506: fun_Co8499238673658658103nteger > code_integer ).

tff(func_def_1500,type,
    sK507: fun_Co8499238673658658103nteger > code_integer ).

tff(func_def_1501,type,
    sK508: fun_Co8499238673658658103nteger > code_integer ).

tff(func_def_1502,type,
    sK509: fun_Co8499238673658658103nteger > code_integer ).

tff(func_def_1503,type,
    sK510: fun_Co8499238673658658103nteger > code_integer ).

tff(func_def_1504,type,
    sK511: fun_Co8499238673658658103nteger > code_integer ).

tff(func_def_1505,type,
    sK512: fun_Co8499238673658658103nteger > code_integer ).

tff(func_def_1506,type,
    sK513: fun_Co8499238673658658103nteger > code_integer ).

tff(func_def_1507,type,
    sK514: fun_Co8499238673658658103nteger > code_integer ).

tff(func_def_1508,type,
    sK515: fun_Co8499238673658658103nteger > code_integer ).

tff(func_def_1509,type,
    sK516: fun_nat_Code_integer > nat ).

tff(func_def_1510,type,
    sK517: fun_nat_Code_integer > nat ).

tff(func_def_1511,type,
    sK518: fun_nat_Code_integer > nat ).

tff(func_def_1512,type,
    sK519: fun_nat_Code_integer > nat ).

tff(func_def_1513,type,
    sK520: fun_nat_Code_integer > nat ).

tff(func_def_1514,type,
    sK521: fun_nat_Code_integer > nat ).

tff(func_def_1515,type,
    sK522: fun_num_rat > num ).

tff(func_def_1516,type,
    sK523: fun_num_rat > num ).

tff(func_def_1517,type,
    sK524: fun_num_rat > num ).

tff(func_def_1518,type,
    sK525: fun_num_rat > num ).

tff(func_def_1519,type,
    sK526: fun_num_rat > num ).

tff(func_def_1520,type,
    sK527: fun_num_rat > num ).

tff(func_def_1521,type,
    sK528: fun_num_rat > num ).

tff(func_def_1522,type,
    sK529: fun_num_rat > num ).

tff(func_def_1523,type,
    sK530: fun_num_rat > num ).

tff(func_def_1524,type,
    sK531: fun_num_rat > num ).

tff(func_def_1525,type,
    sK532: fun_num_rat > num ).

tff(func_def_1526,type,
    sK533: fun_num_rat > num ).

tff(func_def_1527,type,
    sK534: fun_num_rat > num ).

tff(func_def_1528,type,
    sK535: fun_num_rat > num ).

tff(func_def_1529,type,
    sK536: fun_num_rat > num ).

tff(func_def_1530,type,
    sK537: fun_num_rat > num ).

tff(func_def_1531,type,
    sK538: fun_num_rat > num ).

tff(func_def_1532,type,
    sK539: fun_num_rat > num ).

tff(func_def_1533,type,
    sK540: code_integer > code_integer ).

tff(func_def_1534,type,
    sK541: code_integer > code_integer ).

tff(func_def_1535,type,
    sK542: code_integer > code_integer ).

tff(func_def_1536,type,
    sK543: code_integer > code_integer ).

tff(func_def_1537,type,
    sK544: fun_int_Code_integer > int ).

tff(func_def_1538,type,
    sK545: fun_int_Code_integer > int ).

tff(func_def_1539,type,
    sK546: fun_num_Code_integer > num ).

tff(func_def_1540,type,
    sK547: fun_num_Code_integer > num ).

tff(func_def_1541,type,
    sK548: fun_num_Code_integer > num ).

tff(func_def_1542,type,
    sK549: fun_num_Code_integer > num ).

tff(func_def_1543,type,
    sK550: fun_num_Code_integer > num ).

tff(func_def_1544,type,
    sK551: fun_num_Code_integer > num ).

tff(func_def_1545,type,
    sK552: fun_int_Code_integer > int ).

tff(func_def_1546,type,
    sK553: fun_int_Code_integer > int ).

tff(func_def_1547,type,
    sK554: fun_num_Code_integer > num ).

tff(func_def_1548,type,
    sK555: fun_num_Code_integer > num ).

tff(func_def_1549,type,
    sK556: fun_Co8310303586393106575r_bool > code_integer ).

tff(func_def_1550,type,
    sK557: fun_Co8310303586393106575r_bool > code_integer ).

tff(func_def_1551,type,
    sK558: fun_Co8310303586393106575r_bool > code_integer ).

tff(func_def_1552,type,
    sK559: fun_Co8310303586393106575r_bool > code_integer ).

tff(func_def_1553,type,
    sK560: fun_Co8310303586393106575r_bool > code_integer ).

tff(func_def_1554,type,
    sK561: ( fun_Co8822979462182099027r_bool * fun_Co8822979462182099027r_bool * code_integer ) > code_integer ).

tff(func_def_1555,type,
    sK562: ( fun_Co8822979462182099027r_bool * fun_Co8822979462182099027r_bool * fun_Co8822979462182099027r_bool * fun_Co8822979462182099027r_bool ) > code_integer ).

tff(func_def_1556,type,
    sK563: ( fun_Co8822979462182099027r_bool * fun_Co8822979462182099027r_bool * code_integer ) > code_integer ).

tff(func_def_1557,type,
    sK564: ( fun_Co8822979462182099027r_bool * fun_Co8822979462182099027r_bool * code_integer ) > code_integer ).

tff(func_def_1558,type,
    sK565: ( fun_Co8822979462182099027r_bool * fun_Co8822979462182099027r_bool * fun_Co8822979462182099027r_bool * fun_Co8822979462182099027r_bool ) > code_integer ).

tff(func_def_1559,type,
    sK566: ( fun_Co8822979462182099027r_bool * fun_Co8822979462182099027r_bool * code_integer ) > code_integer ).

tff(func_def_1560,type,
    sK567: code_integer > code_integer ).

tff(func_def_1561,type,
    sK568: code_integer > code_integer ).

tff(func_def_1562,type,
    sK569: code_integer > code_integer ).

tff(func_def_1563,type,
    sK570: code_integer > code_integer ).

tff(func_def_1564,type,
    sK571: ( fun_Co8822979462182099027r_bool * fun_Co8822979462182099027r_bool * code_integer ) > code_integer ).

tff(func_def_1565,type,
    sK572: ( fun_Co8822979462182099027r_bool * fun_Co8822979462182099027r_bool * fun_Co8822979462182099027r_bool * fun_Co8822979462182099027r_bool ) > code_integer ).

tff(func_def_1566,type,
    sK573: ( fun_Co8822979462182099027r_bool * fun_Co8822979462182099027r_bool * code_integer ) > code_integer ).

tff(func_def_1567,type,
    sK574: ( fun_Co8822979462182099027r_bool * fun_Co8822979462182099027r_bool * code_integer ) > code_integer ).

tff(func_def_1568,type,
    sK575: ( fun_Co8822979462182099027r_bool * fun_Co8822979462182099027r_bool * fun_Co8822979462182099027r_bool * fun_Co8822979462182099027r_bool ) > code_integer ).

tff(func_def_1569,type,
    sK576: ( fun_Co8822979462182099027r_bool * fun_Co8822979462182099027r_bool * code_integer ) > code_integer ).

tff(func_def_1570,type,
    sK577: code_integer > code_integer ).

tff(func_def_1571,type,
    sK578: code_integer > code_integer ).

tff(func_def_1572,type,
    sK579: code_integer > code_integer ).

tff(func_def_1573,type,
    sK580: code_integer > code_integer ).

tff(func_def_1574,type,
    sK581: fun_num_Code_integer > num ).

tff(func_def_1575,type,
    sK582: fun_num_Code_integer > num ).

tff(func_def_1576,type,
    sK583: fun_int_rat > int ).

tff(func_def_1577,type,
    sK584: fun_int_rat > int ).

tff(func_def_1578,type,
    sK585: fun_int_Code_integer > int ).

tff(func_def_1579,type,
    sK586: fun_int_Code_integer > int ).

tff(func_def_1580,type,
    sK587: num > num ).

tff(func_def_1581,type,
    sK588: num > num ).

tff(func_def_1582,type,
    sK589: num > num ).

tff(func_def_1583,type,
    sK590: num > num ).

tff(func_def_1584,type,
    sK591: fun_num_num > num ).

tff(func_def_1585,type,
    sK592: fun_num_num > num ).

tff(func_def_1586,type,
    sK593: fun_num_num > num ).

tff(func_def_1587,type,
    sK594: fun_num_num > num ).

tff(func_def_1588,type,
    sK595: fun_num_fun_num_bool > num ).

tff(func_def_1589,type,
    sK596: fun_num_fun_num_bool > num ).

tff(func_def_1590,type,
    sK597: fun_num_fun_num_bool > num ).

tff(func_def_1591,type,
    sK598: fun_num_fun_num_bool > num ).

tff(func_def_1592,type,
    sK599: fun_num_fun_num_bool > num ).

tff(func_def_1593,type,
    sK600: ( fun_num_bool * fun_num_bool * num ) > num ).

tff(func_def_1594,type,
    sK601: ( fun_num_bool * fun_num_bool * fun_num_bool * fun_num_bool ) > num ).

tff(func_def_1595,type,
    sK602: ( fun_num_bool * fun_num_bool * num ) > num ).

tff(func_def_1596,type,
    sK603: ( fun_num_bool * fun_num_bool * num ) > num ).

tff(func_def_1597,type,
    sK604: ( fun_num_bool * fun_num_bool * fun_num_bool * fun_num_bool ) > num ).

tff(func_def_1598,type,
    sK605: ( fun_num_bool * fun_num_bool * num ) > num ).

tff(func_def_1599,type,
    sK606: num > num ).

tff(func_def_1600,type,
    sK607: num > num ).

tff(func_def_1601,type,
    sK608: num > num ).

tff(func_def_1602,type,
    sK609: num > num ).

tff(func_def_1603,type,
    sK610: ( fun_num_bool * fun_num_bool * num ) > num ).

tff(func_def_1604,type,
    sK611: ( fun_num_bool * fun_num_bool * fun_num_bool * fun_num_bool ) > num ).

tff(func_def_1605,type,
    sK612: ( fun_num_bool * fun_num_bool * num ) > num ).

tff(func_def_1606,type,
    sK613: ( fun_num_bool * fun_num_bool * num ) > num ).

tff(func_def_1607,type,
    sK614: ( fun_num_bool * fun_num_bool * fun_num_bool * fun_num_bool ) > num ).

tff(func_def_1608,type,
    sK615: ( fun_num_bool * fun_num_bool * num ) > num ).

tff(func_def_1609,type,
    sK616: num > num ).

tff(func_def_1610,type,
    sK617: num > num ).

tff(func_def_1611,type,
    sK618: num > num ).

tff(func_def_1612,type,
    sK619: num > num ).

tff(func_def_1613,type,
    sK620: fun_num_fun_num_bool > num ).

tff(func_def_1614,type,
    sK621: fun_num_fun_num_bool > num ).

tff(func_def_1615,type,
    sK622: fun_num_fun_num_bool > num ).

tff(func_def_1616,type,
    sK623: fun_num_fun_num_bool > num ).

tff(func_def_1617,type,
    sK624: ( int * fun_int_fun_int_bool * int ) > int ).

tff(func_def_1618,type,
    sK625: ( int * fun_int_fun_int_bool * int ) > int ).

tff(func_def_1619,type,
    sK626: ( int * fun_int_fun_int_bool * int ) > int ).

tff(func_def_1620,type,
    sK627: ( int * fun_int_fun_int_bool * int ) > int ).

tff(func_def_1621,type,
    sK628: ( fun_int_bool * rat ) > int ).

tff(func_def_1622,type,
    sK629: rat > int ).

tff(func_def_1623,type,
    sK630: rat > int ).

tff(func_def_1624,type,
    sK631: rat > int ).

tff(func_def_1625,type,
    sK632: rat > int ).

tff(func_def_1626,type,
    sK633: rat > int ).

tff(func_def_1627,type,
    sK634: ( fun_int_bool * rat ) > int ).

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_re2807294637932363402at_nat: ( fun_in5519481650651148416r_bool * fun_nat_fun_nat_bool * fun_int_nat * fun_Code_integer_nat ) > $o ).

tff(pred_def_3,type,
    bNF_re6718328864250387230um_num: ( fun_in5519481650651148416r_bool * fun_num_fun_num_bool * fun_int_num * fun_Code_integer_num ) > $o ).

tff(pred_def_4,type,
    bNF_re6983685936609452663r_bool: ( fun_in5519481650651148416r_bool * fun_fu2005298298577998622l_bool * fun_int_fun_int_bool * fun_Co8310303586393106575r_bool ) > $o ).

tff(pred_def_5,type,
    bNF_re9130850084932126070nteger: ( fun_in5519481650651148416r_bool * fun_fu6750301411456490045r_bool * fun_int_fun_int_int * fun_Co1981900195452921617nteger ) > $o ).

tff(pred_def_6,type,
    bNF_re4558401625797333864t_bool: ( fun_in5519481650651148416r_bool * fun_fu5827305053654988013l_bool * fun_int_fun_nat_bool * fun_Co8657364630979331932t_bool ) > $o ).

tff(pred_def_7,type,
    bNF_re982302072995117890nteger: ( fun_int_fun_int_bool * fun_in5519481650651148416r_bool * fun_int_int * fun_int_Code_integer ) > $o ).

tff(pred_def_8,type,
    bNF_re3715656647883201625at_nat: ( fun_int_fun_int_bool * fun_nat_fun_nat_bool * fun_int_nat * fun_int_nat ) > $o ).

tff(pred_def_9,type,
    bNF_re7626690874201225453um_num: ( fun_int_fun_int_bool * fun_num_fun_num_bool * fun_int_num * fun_int_num ) > $o ).

tff(pred_def_10,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_11,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_12,type,
    bNF_re4808202430149235895nt_int: ( fun_int_fun_int_bool * fun_fu2194082084716825453t_bool * fun_in1696471567231710611nt_int * fun_in1696471567231710611nt_int ) > $o ).

tff(pred_def_13,type,
    bNF_re2486238095283335024nt_rat: ( fun_int_fun_int_bool * fun_fu8159772421396582028t_bool * fun_in1696471567231710611nt_int * fun_int_fun_int_rat ) > $o ).

tff(pred_def_14,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_15,type,
    bNF_re4153400068438556298nteger: ( fun_nat_fun_nat_bool * fun_in5519481650651148416r_bool * fun_nat_int * fun_nat_Code_integer ) > $o ).

tff(pred_def_16,type,
    bNF_re6650684261131312217nt_int: ( fun_nat_fun_nat_bool * fun_int_fun_int_bool * fun_nat_int * fun_nat_int ) > $o ).

tff(pred_def_17,type,
    bNF_re6830278522597306478at_int: ( fun_nat_fun_nat_bool * fun_Pr5932607294251420486t_bool * fun_na1476630412504255114at_nat * fun_nat_int ) > $o ).

tff(pred_def_18,type,
    bNF_re4578097776928471693nteger: ( fun_nat_fun_nat_bool * fun_fu6750301411456490045r_bool * fun_nat_fun_int_int * fun_na7078387940644931716nteger ) > $o ).

tff(pred_def_19,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_20,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_21,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_22,type,
    bNF_re4520166952630509772nteger: ( fun_num_fun_num_bool * fun_fu8172925815900240338r_bool * fun_num_fun_num_int * fun_nu2537414170016844299nteger ) > $o ).

tff(pred_def_23,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_24,type,
    bNF_re1394333895916556125l_bool: ( fun_Pr3099820731930151597t_bool * fun_bo1841576699660343469l_bool * fun_Pr803113274115125473t_bool * fun_Pr803113274115125473t_bool ) > $o ).

tff(pred_def_25,type,
    bNF_re4734134812813710757nt_int: ( fun_Pr3099820731930151597t_bool * fun_fu2754956555950464963t_bool * fun_Pr1308109350235310159nt_int * fun_Pr1308109350235310159nt_int ) > $o ).

tff(pred_def_26,type,
    bNF_re3535474257078034868l_bool: ( fun_Pr3145601080792579042t_bool * fun_bo1841576699660343469l_bool * fun_Pr803113274115125473t_bool * fun_rat_bool ) > $o ).

tff(pred_def_27,type,
    bNF_re6323452265856231590at_rat: ( fun_Pr3145601080792579042t_bool * fun_fu2749353902725170073t_bool * fun_Pr1308109350235310159nt_int * fun_rat_fun_rat_rat ) > $o ).

tff(pred_def_28,type,
    bNF_re4555766996558763186at_nat: ( fun_Pr5932607294251420486t_bool * fun_nat_fun_nat_bool * fun_Pr2602117396471556196at_nat * fun_int_nat ) > $o ).

tff(pred_def_29,type,
    bNF_re2632563231991741785t_bool: ( fun_Pr5932607294251420486t_bool * fun_fu813382667476268716l_bool * fun_Pr248683899324676269t_bool * fun_int_fun_int_bool ) > $o ).

tff(pred_def_30,type,
    bNF_re8869769828555196650nt_int: ( fun_Pr5932607294251420486t_bool * fun_fu4671764723984660721t_bool * fun_Pr2477239776880934807at_nat * fun_int_fun_int_int ) > $o ).

tff(pred_def_31,type,
    bNF_re8246922863344978751at_nat: ( fun_Pr248683899324676269t_bool * fun_nat_fun_nat_bool * fun_Pr2602117396471556196at_nat * fun_Pr2602117396471556196at_nat ) > $o ).

tff(pred_def_32,type,
    bNF_re7934895593101944656at_int: ( fun_Pr248683899324676269t_bool * fun_Pr5932607294251420486t_bool * fun_Pr2118491707810114563at_nat * fun_Pr7647638413817135296at_int ) > $o ).

tff(pred_def_33,type,
    bNF_re2219331435504962769t_bool: ( fun_Pr248683899324676269t_bool * fun_fu8778301040783821591l_bool * fun_Pr248683899324676269t_bool * fun_Pr248683899324676269t_bool ) > $o ).

tff(pred_def_34,type,
    bNF_re6214786843070381989at_nat: ( fun_Pr248683899324676269t_bool * fun_fu4272674133525273539t_bool * fun_Pr2477239776880934807at_nat * fun_Pr2477239776880934807at_nat ) > $o ).

tff(pred_def_35,type,
    eventually_nat: ( fun_nat_bool * filter_nat ) > $o ).

tff(pred_def_36,type,
    eventu1038000079068216329at_nat: ( fun_Pr7757163693017731481t_bool * filter1242075044329608583at_nat ) > $o ).

tff(pred_def_37,type,
    filter3212408913953519116et_nat: ( fun_nat_set_nat * filter_set_nat * filter_nat ) > $o ).

tff(pred_def_38,type,
    finite6017078050557962740nteger: set_Code_integer > $o ).

tff(pred_def_39,type,
    finite_finite_int: set_int > $o ).

tff(pred_def_40,type,
    fun_is_measure_int: fun_int_nat > $o ).

tff(pred_def_41,type,
    semila1623282765462674594er_nat: ( fun_nat_fun_nat_nat * nat * fun_nat_fun_nat_bool * fun_nat_fun_nat_bool ) > $o ).

tff(pred_def_42,type,
    quotie1194848508323700631at_int: ( fun_Pr248683899324676269t_bool * fun_Pr7647638413817135296at_int * fun_in4514472496968388910at_nat * fun_Pr5932607294251420486t_bool ) > $o ).

tff(pred_def_43,type,
    sorted710888440204495920nteger: ( fun_Co8310303586393106575r_bool * list_Code_integer ) > $o ).

tff(pred_def_44,type,
    sorted_wrt_num: ( fun_num_fun_num_bool * list_num ) > $o ).

tff(pred_def_45,type,
    sorted_wrt_rat: ( fun_rat_fun_rat_bool * list_rat ) > $o ).

tff(pred_def_46,type,
    ord_less_bool: ( bool * bool ) > $o ).

tff(pred_def_47,type,
    ord_le2510731241096832064er_nat: ( filter_nat * filter_nat ) > $o ).

tff(pred_def_48,type,
    ord_le6452304024526832374ol_int: ( fun_bool_int * fun_bool_int ) > $o ).

tff(pred_def_49,type,
    ord_le1406783007181253274ol_nat: ( fun_bool_nat * fun_bool_nat ) > $o ).

tff(pred_def_50,type,
    ord_le2115026944130090980ol_num: ( fun_bool_num * fun_bool_num ) > $o ).

tff(pred_def_51,type,
    ord_le7121926485642632354ol_rat: ( fun_bool_rat * fun_bool_rat ) > $o ).

tff(pred_def_52,type,
    ord_le6215889286817668944et_nat: ( fun_bool_set_nat * fun_bool_set_nat ) > $o ).

tff(pred_def_53,type,
    order_mono_nat_nat: fun_nat_nat > $o ).

tff(pred_def_54,type,
    refine451278484176762712t_unit: ( heap_T5738788834812785303t_unit * heap_T5738788834812785303t_unit ) > $o ).

tff(pred_def_55,type,
    refine_Imp_refines_a: ( heap_Time_Heap_a * heap_Time_Heap_a ) > $o ).

tff(pred_def_56,type,
    time_EQ_bool: ( bool * bool ) > $o ).

tff(pred_def_57,type,
    time_f8834461667527620124t_unit: ( heap_T5738788834812785303t_unit * heap_e7401611519738050253t_unit ) > $o ).

tff(pred_def_58,type,
    time_fails_a: ( heap_Time_Heap_a * heap_e7401611519738050253t_unit ) > $o ).

tff(pred_def_59,type,
    bi_tot1331153423839324337nteger: fun_in5519481650651148416r_bool > $o ).

tff(pred_def_60,type,
    bi_tot896582865486249351at_int: fun_Pr5932607294251420486t_bool > $o ).

tff(pred_def_61,type,
    bi_uni8663861020805155098nteger: fun_in5519481650651148416r_bool > $o ).

tff(pred_def_62,type,
    left_t3131394472396969446nt_int: fun_Pr3099820731930151597t_bool > $o ).

tff(pred_def_63,type,
    left_u6795595883297946906nteger: fun_in5519481650651148416r_bool > $o ).

tff(pred_def_64,type,
    right_7281159819619925802nteger: fun_in5519481650651148416r_bool > $o ).

tff(pred_def_65,type,
    right_1157779049177982926at_int: fun_Pr5932607294251420486t_bool > $o ).

tff(pred_def_66,type,
    type_d8366093980585677751er_int: ( fun_Code_integer_int * fun_int_Code_integer * set_int ) > $o ).

tff(pred_def_67,type,
    type_d8554052265237484179nt_int: ( fun_ra7314870381713115802nt_int * fun_se593059424582005380nt_rat * set_se6260736226359567993nt_int ) > $o ).

tff(pred_def_68,type,
    accp_P8126237942716283194atural: ( fun_Pr4637083014979798189l_bool * produc7822875418678951345atural ) > $o ).

tff(pred_def_69,type,
    accp_P3113834385874906142um_num: ( fun_Pr5837708615769641901m_bool * product_prod_num_num ) > $o ).

tff(pred_def_70,type,
    wf_nat: set_Pr1261947904930325089at_nat > $o ).

tff(pred_def_71,type,
    member_Code_integer: ( code_integer * set_Code_integer ) > $o ).

tff(pred_def_72,type,
    member_int: ( int * set_int ) > $o ).

tff(pred_def_73,type,
    member_list_nat: ( list_nat * set_list_nat ) > $o ).

tff(pred_def_74,type,
    member8440522571783428010at_nat: ( product_prod_nat_nat * set_Pr1261947904930325089at_nat ) > $o ).

tff(pred_def_75,type,
    member8206827879206165904at_nat: ( produc859450856879609959at_nat * set_Pr8693737435421807431at_nat ) > $o ).

tff(pred_def_76,type,
    member_rat: ( rat * set_rat ) > $o ).

tff(pred_def_77,type,
    member_set_nat: ( set_nat * set_set_nat ) > $o ).

tff(pred_def_78,type,
    member2340774599025711042nt_int: ( set_Pr958786334691620121nt_int * set_se6260736226359567993nt_int ) > $o ).

tff(pred_def_79,type,
    pp: bool > $o ).

tff(pred_def_80,type,
    sP0: ( nat * nat * nat ) > $o ).

tff(pred_def_81,type,
    sP1: ( nat * nat * nat ) > $o ).

tff(pred_def_82,type,
    sP2: ( nat * nat * nat ) > $o ).

tff(pred_def_83,type,
    sP3: ( fun_nat_bool * fun_nat_bool * fun_nat_bool * fun_nat_bool ) > $o ).

tff(pred_def_84,type,
    sP4: ( fun_nat_bool * fun_nat_bool ) > $o ).

tff(pred_def_85,type,
    sP5: ( fun_nat_bool * fun_nat_bool * fun_nat_bool * fun_nat_bool ) > $o ).

tff(pred_def_86,type,
    sP6: ( fun_nat_bool * fun_nat_bool ) > $o ).

tff(pred_def_87,type,
    sP7: ( fun_nat_bool * fun_nat_bool * fun_nat_bool * fun_nat_bool ) > $o ).

tff(pred_def_88,type,
    sP8: ( fun_nat_bool * fun_nat_bool ) > $o ).

tff(pred_def_89,type,
    sP9: ( fun_nat_bool * fun_nat_bool * fun_nat_bool * fun_nat_bool ) > $o ).

tff(pred_def_90,type,
    sP10: ( fun_nat_bool * fun_nat_bool ) > $o ).

tff(pred_def_91,type,
    sP11: ( nat * fun_nat_bool * nat ) > $o ).

tff(pred_def_92,type,
    sP12: ( fun_nat_bool * nat * nat ) > $o ).

tff(pred_def_93,type,
    sP13: ( fun_int_bool * int ) > $o ).

tff(pred_def_94,type,
    sP14: ( int * bool * int * bool ) > $o ).

tff(pred_def_95,type,
    sP15: ( bool * int * bool * int ) > $o ).

tff(pred_def_96,type,
    sP16: ( int * int * int ) > $o ).

tff(pred_def_97,type,
    sP17: ( int * int * int ) > $o ).

tff(pred_def_98,type,
    sP18: ( int * int * int ) > $o ).

tff(pred_def_99,type,
    sP19: ( fun_int_bool * fun_int_bool * fun_int_bool * fun_int_bool ) > $o ).

tff(pred_def_100,type,
    sP20: ( fun_int_bool * fun_int_bool ) > $o ).

tff(pred_def_101,type,
    sP21: ( fun_int_bool * fun_int_bool * fun_int_bool * fun_int_bool ) > $o ).

tff(pred_def_102,type,
    sP22: ( fun_int_bool * fun_int_bool ) > $o ).

tff(pred_def_103,type,
    sP23: ( fun_int_bool * fun_int_bool * fun_int_bool * fun_int_bool ) > $o ).

tff(pred_def_104,type,
    sP24: ( fun_int_bool * fun_int_bool ) > $o ).

tff(pred_def_105,type,
    sP25: ( fun_int_bool * fun_int_bool * fun_int_bool * fun_int_bool ) > $o ).

tff(pred_def_106,type,
    sP26: ( fun_int_bool * fun_int_bool ) > $o ).

tff(pred_def_107,type,
    sP27: ( rat * rat * rat ) > $o ).

tff(pred_def_108,type,
    sP28: ( rat * rat * rat ) > $o ).

tff(pred_def_109,type,
    sP29: ( rat * rat * rat ) > $o ).

tff(pred_def_110,type,
    sP30: ( rat * rat * rat ) > $o ).

tff(pred_def_111,type,
    sP31: ( rat * rat * rat ) > $o ).

tff(pred_def_112,type,
    sP32: ( rat * rat * rat ) > $o ).

tff(pred_def_113,type,
    sP33: ( rat * rat * rat ) > $o ).

tff(pred_def_114,type,
    sP34: ( fun_rat_bool * fun_rat_bool * fun_rat_bool * fun_rat_bool ) > $o ).

tff(pred_def_115,type,
    sP35: ( fun_rat_bool * fun_rat_bool ) > $o ).

tff(pred_def_116,type,
    sP36: ( fun_rat_bool * fun_rat_bool * fun_rat_bool * fun_rat_bool ) > $o ).

tff(pred_def_117,type,
    sP37: ( fun_rat_bool * fun_rat_bool ) > $o ).

tff(pred_def_118,type,
    sP38: ( fun_rat_bool * fun_rat_bool * fun_rat_bool * fun_rat_bool ) > $o ).

tff(pred_def_119,type,
    sP39: ( fun_rat_bool * fun_rat_bool ) > $o ).

tff(pred_def_120,type,
    sP40: ( fun_rat_bool * fun_rat_bool * fun_rat_bool * fun_rat_bool ) > $o ).

tff(pred_def_121,type,
    sP41: ( fun_rat_bool * fun_rat_bool ) > $o ).

tff(pred_def_122,type,
    sP42: fun_int_bool > $o ).

tff(pred_def_123,type,
    sP43: ( fun_nat_int * nat * nat ) > $o ).

tff(pred_def_124,type,
    sP44: ( int * fun_int_bool * fun_int_bool ) > $o ).

tff(pred_def_125,type,
    sP45: ( int * fun_int_bool * fun_int_bool ) > $o ).

tff(pred_def_126,type,
    sP46: ( fun_int_bool * int * int ) > $o ).

tff(pred_def_127,type,
    sP47: ( fun_int_bool * int * int ) > $o ).

tff(pred_def_128,type,
    sP48: ( rat * rat * num ) > $o ).

tff(pred_def_129,type,
    sP49: ( rat * num * rat ) > $o ).

tff(pred_def_130,type,
    sP50: ( rat * rat * num ) > $o ).

tff(pred_def_131,type,
    sP51: ( rat * num * rat ) > $o ).

tff(pred_def_132,type,
    sP52: ( rat * rat * num ) > $o ).

tff(pred_def_133,type,
    sP53: ( rat * rat * num ) > $o ).

tff(pred_def_134,type,
    sP54: ( rat * num * rat ) > $o ).

tff(pred_def_135,type,
    sP55: ( rat * num * rat ) > $o ).

tff(pred_def_136,type,
    sP56: ( rat * rat * rat ) > $o ).

tff(pred_def_137,type,
    sP57: ( rat * rat * rat ) > $o ).

tff(pred_def_138,type,
    sP58: ( rat * rat * rat ) > $o ).

tff(pred_def_139,type,
    sP59: ( rat * rat * rat ) > $o ).

tff(pred_def_140,type,
    sP60: ( rat * fun_rat_bool * fun_rat_bool ) > $o ).

tff(pred_def_141,type,
    sP61: ( rat * fun_rat_bool * fun_rat_bool ) > $o ).

tff(pred_def_142,type,
    sP62: ( code_integer * fun_Co8822979462182099027r_bool * fun_Co8822979462182099027r_bool ) > $o ).

tff(pred_def_143,type,
    sP63: ( code_integer * fun_Co8822979462182099027r_bool * fun_Co8822979462182099027r_bool ) > $o ).

tff(pred_def_144,type,
    sP64: ( fun_Co8822979462182099027r_bool * fun_Co8822979462182099027r_bool * fun_Co8822979462182099027r_bool * fun_Co8822979462182099027r_bool ) > $o ).

tff(pred_def_145,type,
    sP65: ( fun_Co8822979462182099027r_bool * fun_Co8822979462182099027r_bool ) > $o ).

tff(pred_def_146,type,
    sP66: ( fun_Co8822979462182099027r_bool * fun_Co8822979462182099027r_bool * fun_Co8822979462182099027r_bool * fun_Co8822979462182099027r_bool ) > $o ).

tff(pred_def_147,type,
    sP67: ( fun_Co8822979462182099027r_bool * fun_Co8822979462182099027r_bool ) > $o ).

tff(pred_def_148,type,
    sP68: ( fun_Co8822979462182099027r_bool * fun_Co8822979462182099027r_bool * fun_Co8822979462182099027r_bool * fun_Co8822979462182099027r_bool ) > $o ).

tff(pred_def_149,type,
    sP69: ( fun_Co8822979462182099027r_bool * fun_Co8822979462182099027r_bool ) > $o ).

tff(pred_def_150,type,
    sP70: ( fun_Co8822979462182099027r_bool * fun_Co8822979462182099027r_bool * fun_Co8822979462182099027r_bool * fun_Co8822979462182099027r_bool ) > $o ).

tff(pred_def_151,type,
    sP71: ( fun_Co8822979462182099027r_bool * fun_Co8822979462182099027r_bool ) > $o ).

tff(pred_def_152,type,
    sP72: ( fun_num_bool * fun_num_bool * fun_num_bool * fun_num_bool ) > $o ).

tff(pred_def_153,type,
    sP73: ( fun_num_bool * fun_num_bool ) > $o ).

tff(pred_def_154,type,
    sP74: ( fun_num_bool * fun_num_bool * fun_num_bool * fun_num_bool ) > $o ).

tff(pred_def_155,type,
    sP75: ( fun_num_bool * fun_num_bool ) > $o ).

tff(pred_def_156,type,
    sP76: ( fun_num_bool * fun_num_bool * fun_num_bool * fun_num_bool ) > $o ).

tff(pred_def_157,type,
    sP77: ( fun_num_bool * fun_num_bool ) > $o ).

tff(pred_def_158,type,
    sP78: ( fun_num_bool * fun_num_bool * fun_num_bool * fun_num_bool ) > $o ).

tff(pred_def_159,type,
    sP79: ( fun_num_bool * fun_num_bool ) > $o ).

tff(pred_def_160,type,
    sP80: ( num * num * num ) > $o ).

tff(pred_def_161,type,
    sP81: ( num * num * num ) > $o ).

tff(pred_def_162,type,
    sP82: ( num * num * num ) > $o ).

tff(f2,axiom,
    ( pp(p)
   => pp(aa_nat_bool(time_TBOUND_a(m),t)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1_assms) ).

tff(f23,axiom,
    ! [X0: heap_Time_Heap_a,X1: nat,X2: heap_e7401611519738050253t_unit] :
      ( pp(aa_nat_bool(time_TBOUND_a(X0),X1))
     => pp(aa_nat_bool(aa_nat_fun_nat_bool(ord_less_eq_nat,time_time_a(X0,X2)),X1)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_22_TBOUNDD) ).

tff(f32,axiom,
    ! [X0: nat,X1: nat] :
      ( pp(aa_nat_bool(aa_nat_fun_nat_bool(ord_less_eq_nat,X0),X1))
      | pp(aa_nat_bool(aa_nat_fun_nat_bool(ord_less_eq_nat,X1),X0)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_31_nat__le__linear) ).

tff(f218,axiom,
    ! [X0: product_unit,X1: fun_Pr5215307506330550056Heap_a] : ( heap_T757603679106148408unit_a(aa_Pro1108561329362217960t_unit(heap_T4284346855313245393t_unit,X0),X1) = aa_Pro7886978635576167513Heap_a(X1,X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_217_ureturn__bind) ).

tff(f220,axiom,
    ! [X0: nat] : pp(aa_nat_bool(aa_nat_fun_nat_bool(ord_less_eq_nat,zero_zero_nat),X0)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_219_bot__nat__0_Oextremum) ).

tff(f300,axiom,
    ! [X0: bool,X1: heap_e7401611519738050253t_unit] :
      ( time_f8834461667527620124t_unit(refine_Imp_assert(X0),X1)
    <=> ~ pp(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_299_fails__assert_H) ).

tff(f567,axiom,
    ! [X0: heap_T5738788834812785303t_unit,X1: heap_e7401611519738050253t_unit,X2: fun_Pr5215307506330550056Heap_a] :
      ( ( ( ~ time_f8834461667527620124t_unit(X0,X1)
          & ~ time_fails_a(aa_Pro7886978635576167513Heap_a(X2,time_t2745601220510131320t_unit(X0,X1)),time_t3350536682685678164t_unit(X0,X1)) )
       => ( time_time_a(heap_T757603679106148408unit_a(X0,X2),X1) = aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,time_t4224138285095624986t_unit(X0,X1)),time_time_a(aa_Pro7886978635576167513Heap_a(X2,time_t2745601220510131320t_unit(X0,X1)),time_t3350536682685678164t_unit(X0,X1))) ) )
      & ( ~ ( ~ time_f8834461667527620124t_unit(X0,X1)
            & ~ time_fails_a(aa_Pro7886978635576167513Heap_a(X2,time_t2745601220510131320t_unit(X0,X1)),time_t3350536682685678164t_unit(X0,X1)) )
       => ( time_time_a(heap_T757603679106148408unit_a(X0,X2),X1) = zero_zero_nat ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_566_time__bind) ).

tff(f5899,axiom,
    ! [X0: bool] :
      ( ( pp(X0)
       => ( refine_Imp_assert(X0) = aa_Pro1108561329362217960t_unit(heap_T4284346855313245393t_unit,product_Unity) ) )
      & ( ~ pp(X0)
       => ( refine_Imp_assert(X0) = heap_T2927564422264180874t_unit(cons_char(aa_bool_char(char2(fTrue,fFalse,fFalse,fFalse,fFalse,fTrue,fTrue),fFalse),cons_char(aa_bool_char(char2(fTrue,fTrue,fFalse,fFalse,fTrue,fTrue,fTrue),fFalse),cons_char(aa_bool_char(char2(fTrue,fTrue,fFalse,fFalse,fTrue,fTrue,fTrue),fFalse),cons_char(aa_bool_char(char2(fTrue,fFalse,fTrue,fFalse,fFalse,fTrue,fTrue),fFalse),cons_char(aa_bool_char(char2(fFalse,fTrue,fFalse,fFalse,fTrue,fTrue,fTrue),fFalse),cons_char(aa_bool_char(char2(fFalse,fFalse,fTrue,fFalse,fTrue,fTrue,fTrue),fFalse),nil_char))))))) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_5898_assert_H__def) ).

tff(f6243,axiom,
    ! [X0: product_unit] : ( aa_Pro7886978635576167513Heap_a(aTP_Lamm_a,X0) = m ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_6242_ATP_Olambda__172) ).

tff(f6256,axiom,
    pp(fTrue),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',help_fTrue_1_1_U) ).

tff(f6263,axiom,
    ~ pp(fFalse),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',help_fFalse_1_1_U) ).

tff(f6297,axiom,
    ! [X0: bool] :
      ( ( X0 = fTrue )
      | ( X0 = fFalse ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',help_If_3_1_If_001t__Product____Type__Oprod_It__Code____Numeral__Ointeger_Mt__Code____Numeral__Ointeger_J_T) ).

tff(f6300,conjecture,
    pp(aa_nat_bool(aa_nat_fun_nat_bool(ord_less_eq_nat,time_time_a(heap_T757603679106148408unit_a(refine_Imp_assert(p),aTP_Lamm_a),h)),t)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0) ).

tff(f6301,negated_conjecture,
    ~ pp(aa_nat_bool(aa_nat_fun_nat_bool(ord_less_eq_nat,time_time_a(heap_T757603679106148408unit_a(refine_Imp_assert(p),aTP_Lamm_a),h)),t)),
    inference(negated_conjecture,[status(cth)],[f6300]) ).

tff(f6302,plain,
    ~ pp(aa_nat_bool(aa_nat_fun_nat_bool(ord_less_eq_nat,time_time_a(heap_T757603679106148408unit_a(refine_Imp_assert(p),aTP_Lamm_a),h)),t)),
    inference(flattening,[],[f6301]) ).

tff(f6651,plain,
    ! [X0: bool] :
      ( ( ( refine_Imp_assert(X0) = aa_Pro1108561329362217960t_unit(heap_T4284346855313245393t_unit,product_Unity) )
        | ~ pp(X0) )
      & ( ( refine_Imp_assert(X0) = heap_T2927564422264180874t_unit(cons_char(aa_bool_char(char2(fTrue,fFalse,fFalse,fFalse,fFalse,fTrue,fTrue),fFalse),cons_char(aa_bool_char(char2(fTrue,fTrue,fFalse,fFalse,fTrue,fTrue,fTrue),fFalse),cons_char(aa_bool_char(char2(fTrue,fTrue,fFalse,fFalse,fTrue,fTrue,fTrue),fFalse),cons_char(aa_bool_char(char2(fTrue,fFalse,fTrue,fFalse,fFalse,fTrue,fTrue),fFalse),cons_char(aa_bool_char(char2(fFalse,fTrue,fFalse,fFalse,fTrue,fTrue,fTrue),fFalse),cons_char(aa_bool_char(char2(fFalse,fFalse,fTrue,fFalse,fTrue,fTrue,fTrue),fFalse),nil_char))))))) )
        | pp(X0) ) ),
    inference(ennf_transformation,[],[f5899]) ).

tff(f6654,plain,
    ! [X0: heap_T5738788834812785303t_unit,X1: heap_e7401611519738050253t_unit,X2: fun_Pr5215307506330550056Heap_a] :
      ( ( ( time_time_a(heap_T757603679106148408unit_a(X0,X2),X1) = aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,time_t4224138285095624986t_unit(X0,X1)),time_time_a(aa_Pro7886978635576167513Heap_a(X2,time_t2745601220510131320t_unit(X0,X1)),time_t3350536682685678164t_unit(X0,X1))) )
        | time_f8834461667527620124t_unit(X0,X1)
        | time_fails_a(aa_Pro7886978635576167513Heap_a(X2,time_t2745601220510131320t_unit(X0,X1)),time_t3350536682685678164t_unit(X0,X1)) )
      & ( ( time_time_a(heap_T757603679106148408unit_a(X0,X2),X1) = zero_zero_nat )
        | ( ~ time_f8834461667527620124t_unit(X0,X1)
          & ~ time_fails_a(aa_Pro7886978635576167513Heap_a(X2,time_t2745601220510131320t_unit(X0,X1)),time_t3350536682685678164t_unit(X0,X1)) ) ) ),
    inference(ennf_transformation,[],[f567]) ).

tff(f6655,plain,
    ! [X0: heap_T5738788834812785303t_unit,X1: heap_e7401611519738050253t_unit,X2: fun_Pr5215307506330550056Heap_a] :
      ( ( ( time_time_a(heap_T757603679106148408unit_a(X0,X2),X1) = aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,time_t4224138285095624986t_unit(X0,X1)),time_time_a(aa_Pro7886978635576167513Heap_a(X2,time_t2745601220510131320t_unit(X0,X1)),time_t3350536682685678164t_unit(X0,X1))) )
        | time_f8834461667527620124t_unit(X0,X1)
        | time_fails_a(aa_Pro7886978635576167513Heap_a(X2,time_t2745601220510131320t_unit(X0,X1)),time_t3350536682685678164t_unit(X0,X1)) )
      & ( ( time_time_a(heap_T757603679106148408unit_a(X0,X2),X1) = zero_zero_nat )
        | ( ~ time_f8834461667527620124t_unit(X0,X1)
          & ~ time_fails_a(aa_Pro7886978635576167513Heap_a(X2,time_t2745601220510131320t_unit(X0,X1)),time_t3350536682685678164t_unit(X0,X1)) ) ) ),
    inference(flattening,[],[f6654]) ).

tff(f6660,plain,
    ! [X0: heap_Time_Heap_a,X1: nat,X2: heap_e7401611519738050253t_unit] :
      ( pp(aa_nat_bool(aa_nat_fun_nat_bool(ord_less_eq_nat,time_time_a(X0,X2)),X1))
      | ~ pp(aa_nat_bool(time_TBOUND_a(X0),X1)) ),
    inference(ennf_transformation,[],[f23]) ).

tff(f6787,plain,
    ( pp(aa_nat_bool(time_TBOUND_a(m),t))
    | ~ pp(p) ),
    inference(ennf_transformation,[],[f2]) ).

tff(f9213,plain,
    ! [X0: bool,X1: heap_e7401611519738050253t_unit] :
      ( ( time_f8834461667527620124t_unit(refine_Imp_assert(X0),X1)
        | pp(X0) )
      & ( ~ pp(X0)
        | ~ time_f8834461667527620124t_unit(refine_Imp_assert(X0),X1) ) ),
    inference(nnf_transformation,[],[f300]) ).

tff(f11195,plain,
    ~ pp(aa_nat_bool(aa_nat_fun_nat_bool(ord_less_eq_nat,time_time_a(heap_T757603679106148408unit_a(refine_Imp_assert(p),aTP_Lamm_a),h)),t)),
    inference(cnf_transformation,[],[f6302]) ).

tff(f11196,plain,
    ! [X0: product_unit] : ( m = aa_Pro7886978635576167513Heap_a(aTP_Lamm_a,X0) ),
    inference(cnf_transformation,[],[f6243]) ).

tff(f11536,plain,
    ! [X0: nat] : pp(aa_nat_bool(aa_nat_fun_nat_bool(ord_less_eq_nat,zero_zero_nat),X0)),
    inference(cnf_transformation,[],[f220]) ).

tff(f11599,plain,
    ! [X0: nat,X1: nat] :
      ( pp(aa_nat_bool(aa_nat_fun_nat_bool(ord_less_eq_nat,X0),X1))
      | pp(aa_nat_bool(aa_nat_fun_nat_bool(ord_less_eq_nat,X1),X0)) ),
    inference(cnf_transformation,[],[f32]) ).

tff(f11608,plain,
    ! [X0: bool] :
      ( ~ pp(X0)
      | ( refine_Imp_assert(X0) = aa_Pro1108561329362217960t_unit(heap_T4284346855313245393t_unit,product_Unity) ) ),
    inference(cnf_transformation,[],[f6651]) ).

tff(f11610,plain,
    ! [X0: bool,X1: heap_e7401611519738050253t_unit] :
      ( time_f8834461667527620124t_unit(refine_Imp_assert(X0),X1)
      | pp(X0) ),
    inference(cnf_transformation,[],[f9213]) ).

tff(f11616,plain,
    ! [X2: fun_Pr5215307506330550056Heap_a,X0: heap_T5738788834812785303t_unit,X1: heap_e7401611519738050253t_unit] :
      ( ~ time_f8834461667527620124t_unit(X0,X1)
      | ( zero_zero_nat = time_time_a(heap_T757603679106148408unit_a(X0,X2),X1) ) ),
    inference(cnf_transformation,[],[f6655]) ).

tff(f11623,plain,
    ! [X2: heap_e7401611519738050253t_unit,X0: heap_Time_Heap_a,X1: nat] :
      ( pp(aa_nat_bool(aa_nat_fun_nat_bool(ord_less_eq_nat,time_time_a(X0,X2)),X1))
      | ~ pp(aa_nat_bool(time_TBOUND_a(X0),X1)) ),
    inference(cnf_transformation,[],[f6660]) ).

tff(f11880,plain,
    ( pp(aa_nat_bool(time_TBOUND_a(m),t))
    | ~ pp(p) ),
    inference(cnf_transformation,[],[f6787]) ).

tff(f11887,plain,
    ! [X0: product_unit,X1: fun_Pr5215307506330550056Heap_a] : ( heap_T757603679106148408unit_a(aa_Pro1108561329362217960t_unit(heap_T4284346855313245393t_unit,X0),X1) = aa_Pro7886978635576167513Heap_a(X1,X0) ),
    inference(cnf_transformation,[],[f218]) ).

tff(f14072,plain,
    ! [X0: bool] :
      ( ( fFalse = X0 )
      | ( fTrue = X0 ) ),
    inference(cnf_transformation,[],[f6297]) ).

tff(f14075,plain,
    ~ pp(fFalse),
    inference(cnf_transformation,[],[f6263]) ).

tff(f14080,plain,
    pp(fTrue),
    inference(cnf_transformation,[],[f6256]) ).

tff(f17221,plain,
    ! [X0: product_unit] : ( m = heap_T757603679106148408unit_a(aa_Pro1108561329362217960t_unit(heap_T4284346855313245393t_unit,X0),aTP_Lamm_a) ),
    inference(definition_unfolding,[],[f11196,f11887]) ).

tff(f18533,definition,
    ( spl635_4
  <=> pp(p) ),
    introduced(definition,[new_symbols(definition,[spl635_4])],[avatar_definition]) ).

tff(f18534,plain,
    ( pp(p)
    | ~ spl635_4 ),
    inference(avatar_component_clause,[],[f18533]) ).

tff(f18535,plain,
    ( ~ pp(p)
    | spl635_4 ),
    inference(avatar_component_clause,[],[f18533]) ).

tff(f18541,definition,
    ( spl635_6
  <=> pp(aa_nat_bool(time_TBOUND_a(m),t)) ),
    introduced(definition,[new_symbols(definition,[spl635_6])],[avatar_definition]) ).

tff(f18543,plain,
    ( pp(aa_nat_bool(time_TBOUND_a(m),t))
    | ~ spl635_6 ),
    inference(avatar_component_clause,[],[f18541]) ).

tff(f18544,plain,
    ( ~ spl635_4
    | spl635_6 ),
    inference(avatar_split_clause,[],[f11880,f18541,f18533]) ).

tff(f18712,plain,
    ~ pp(aa_nat_bool(time_TBOUND_a(heap_T757603679106148408unit_a(refine_Imp_assert(p),aTP_Lamm_a)),t)),
    inference(resolution,[],[f11623,f11195]) ).

tff(f18714,plain,
    ! [X2: heap_e7401611519738050253t_unit,X0: bool,X1: fun_Pr5215307506330550056Heap_a] :
      ( pp(X0)
      | ( zero_zero_nat = time_time_a(heap_T757603679106148408unit_a(refine_Imp_assert(X0),X1),X2) ) ),
    inference(resolution,[],[f11616,f11610]) ).

tff(f18721,plain,
    ! [X0: bool,X1: bool] :
      ( ( X0 = X1 )
      | ( fTrue = X1 )
      | ( fTrue = X0 ) ),
    inference(superposition,[],[f14072,f14072]) ).

tff(f18731,definition,
    ( spl635_7
  <=> ! [X0: bool] : ( fTrue = X0 ) ),
    introduced(definition,[new_symbols(definition,[spl635_7])],[avatar_definition]) ).

tff(f18732,plain,
    ( ! [X0: bool] : ( fTrue = X0 )
    | ~ spl635_7 ),
    inference(avatar_component_clause,[],[f18731]) ).

tff(f18768,plain,
    pp(aa_nat_bool(aa_nat_fun_nat_bool(ord_less_eq_nat,t),time_time_a(heap_T757603679106148408unit_a(refine_Imp_assert(p),aTP_Lamm_a),h))),
    inference(resolution,[],[f11599,f11195]) ).

tff(f18780,plain,
    ( pp(fFalse)
    | ( fTrue = aa_nat_bool(aa_nat_fun_nat_bool(ord_less_eq_nat,t),time_time_a(heap_T757603679106148408unit_a(refine_Imp_assert(p),aTP_Lamm_a),h)) ) ),
    inference(superposition,[],[f18768,f14072]) ).

tff(f18781,plain,
    fTrue = aa_nat_bool(aa_nat_fun_nat_bool(ord_less_eq_nat,t),time_time_a(heap_T757603679106148408unit_a(refine_Imp_assert(p),aTP_Lamm_a),h)),
    inference(forward_subsumption_resolution,[],[f18780,f14075]) ).

tff(f18872,plain,
    ! [X0: bool] :
      ( ~ pp(aa_nat_bool(time_TBOUND_a(heap_T757603679106148408unit_a(refine_Imp_assert(fTrue),aTP_Lamm_a)),t))
      | ( p = X0 )
      | ( fTrue = X0 ) ),
    inference(superposition,[],[f18712,f18721]) ).

tff(f18876,plain,
    ! [X0: bool] :
      ( ~ pp(fTrue)
      | ( aa_nat_bool(aa_nat_fun_nat_bool(ord_less_eq_nat,time_time_a(heap_T757603679106148408unit_a(refine_Imp_assert(p),aTP_Lamm_a),h)),t) = X0 )
      | ( fTrue = X0 ) ),
    inference(superposition,[],[f11195,f18721]) ).

tff(f18920,plain,
    ! [X0: bool] :
      ( ( aa_nat_bool(aa_nat_fun_nat_bool(ord_less_eq_nat,time_time_a(heap_T757603679106148408unit_a(refine_Imp_assert(p),aTP_Lamm_a),h)),t) = X0 )
      | ( fTrue = X0 ) ),
    inference(forward_subsumption_resolution,[],[f18876,f14080]) ).

tff(f19023,plain,
    aa_Pro1108561329362217960t_unit(heap_T4284346855313245393t_unit,product_Unity) = refine_Imp_assert(aa_nat_bool(aa_nat_fun_nat_bool(ord_less_eq_nat,t),time_time_a(heap_T757603679106148408unit_a(refine_Imp_assert(p),aTP_Lamm_a),h))),
    inference(resolution,[],[f11608,f18768]) ).

tff(f19027,plain,
    aa_Pro1108561329362217960t_unit(heap_T4284346855313245393t_unit,product_Unity) = refine_Imp_assert(fTrue),
    inference(forward_demodulation,[],[f19023,f18781]) ).

tff(f19044,plain,
    ( ! [X0: fun_Pr5215307506330550056Heap_a,X1: heap_e7401611519738050253t_unit] : ( zero_zero_nat = time_time_a(heap_T757603679106148408unit_a(refine_Imp_assert(p),X0),X1) )
    | spl635_4 ),
    inference(resolution,[],[f18535,f18714]) ).

tff(f19062,definition,
    ( spl635_20
  <=> ! [X0: bool] :
        ( ( p = X0 )
        | ( fTrue = X0 ) ) ),
    introduced(definition,[new_symbols(definition,[spl635_20])],[avatar_definition]) ).

tff(f19063,plain,
    ( ! [X0: bool] :
        ( ( p = X0 )
        | ( fTrue = X0 ) )
    | ~ spl635_20 ),
    inference(avatar_component_clause,[],[f19062]) ).

tff(f19070,definition,
    ( spl635_22
  <=> pp(aa_nat_bool(time_TBOUND_a(heap_T757603679106148408unit_a(refine_Imp_assert(fTrue),aTP_Lamm_a)),t)) ),
    introduced(definition,[new_symbols(definition,[spl635_22])],[avatar_definition]) ).

tff(f19072,plain,
    ( ~ pp(aa_nat_bool(time_TBOUND_a(heap_T757603679106148408unit_a(refine_Imp_assert(fTrue),aTP_Lamm_a)),t))
    | spl635_22 ),
    inference(avatar_component_clause,[],[f19070]) ).

tff(f19084,plain,
    ( spl635_20
    | ~ spl635_22 ),
    inference(avatar_split_clause,[],[f18872,f19070,f19062]) ).

tff(f19110,plain,
    ( ~ pp(p)
    | ( fTrue = aa_nat_bool(aa_nat_fun_nat_bool(ord_less_eq_nat,time_time_a(heap_T757603679106148408unit_a(refine_Imp_assert(p),aTP_Lamm_a),h)),t) )
    | ~ spl635_20 ),
    inference(superposition,[],[f11195,f19063]) ).

tff(f19129,plain,
    ( ~ pp(aa_nat_bool(aa_nat_fun_nat_bool(ord_less_eq_nat,zero_zero_nat),t))
    | spl635_4 ),
    inference(superposition,[],[f11195,f19044]) ).

tff(f19133,plain,
    ( $false
    | spl635_4 ),
    inference(forward_subsumption_resolution,[],[f19129,f11536]) ).

tff(f19134,plain,
    spl635_4,
    inference(avatar_contradiction_clause,[],[f19133]) ).

tff(f19139,plain,
    ( ( fTrue = aa_nat_bool(aa_nat_fun_nat_bool(ord_less_eq_nat,time_time_a(heap_T757603679106148408unit_a(refine_Imp_assert(p),aTP_Lamm_a),h)),t) )
    | ~ spl635_4
    | ~ spl635_20 ),
    inference(forward_subsumption_resolution,[],[f19110,f18534]) ).

tff(f19190,plain,
    ! [X0: bool] :
      ( ( fTrue != aa_nat_bool(aa_nat_fun_nat_bool(ord_less_eq_nat,time_time_a(heap_T757603679106148408unit_a(refine_Imp_assert(p),aTP_Lamm_a),h)),t) )
      | ( fTrue = X0 ) ),
    inference(equality_factoring,[],[f18920]) ).

tff(f19193,plain,
    ( ! [X0: bool] : ( fTrue = X0 )
    | ~ spl635_4
    | ~ spl635_20 ),
    inference(forward_subsumption_resolution,[],[f19190,f19139]) ).

tff(f19196,plain,
    ( spl635_7
    | ~ spl635_4
    | ~ spl635_20 ),
    inference(avatar_split_clause,[],[f19193,f19062,f18533,f18731]) ).

tff(f19300,plain,
    ( ~ pp(fTrue)
    | ~ spl635_7 ),
    inference(superposition,[],[f11195,f18732]) ).

tff(f19334,plain,
    ( $false
    | ~ spl635_7 ),
    inference(forward_subsumption_resolution,[],[f19300,f14080]) ).

tff(f19335,plain,
    ~ spl635_7,
    inference(avatar_contradiction_clause,[],[f19334]) ).

tff(f19719,plain,
    m = heap_T757603679106148408unit_a(refine_Imp_assert(fTrue),aTP_Lamm_a),
    inference(superposition,[],[f17221,f19027]) ).

tff(f20171,plain,
    ( ~ pp(aa_nat_bool(time_TBOUND_a(m),t))
    | spl635_22 ),
    inference(superposition,[],[f19072,f19719]) ).

tff(f20176,plain,
    ( $false
    | ~ spl635_6
    | spl635_22 ),
    inference(forward_subsumption_resolution,[],[f20171,f18543]) ).

tff(f20177,plain,
    ( ~ spl635_6
    | spl635_22 ),
    inference(avatar_contradiction_clause,[],[f20176]) ).

cnf(s5,plain,
    ( ~ spl635_4
    | spl635_6 ),
    inference(sat_conversion,[],[f18544]) ).

cnf(s35,plain,
    ( spl635_20
    | ~ spl635_22 ),
    inference(sat_conversion,[],[f19084]) ).

cnf(s40,plain,
    spl635_4,
    inference(sat_conversion,[],[f19134]) ).

cnf(s45,plain,
    ( ~ spl635_4
    | spl635_7
    | ~ spl635_20 ),
    inference(sat_conversion,[],[f19196]) ).

cnf(s53,plain,
    ~ spl635_7,
    inference(sat_conversion,[],[f19335]) ).

cnf(s73,plain,
    ( ~ spl635_6
    | spl635_22 ),
    inference(sat_conversion,[],[f20177]) ).

cnf(s76,plain,
    ( ~ spl635_4
    | ~ spl635_20 ),
    inference(rat,[],[s45,s53]) ).

cnf(s78,plain,
    ~ spl635_20,
    inference(rat,[],[s76,s40]) ).

cnf(s83,plain,
    ~ spl635_22,
    inference(rat,[],[s35,s78]) ).

cnf(s84,plain,
    ~ spl635_6,
    inference(rat,[],[s73,s83]) ).

cnf(s96,plain,
    $false,
    inference(rat,[],[s5,s84,s40]) ).

tff(f20179,plain,
    $false,
    inference(avatar_sat_refutation,[],[s96]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : ITP217_1 : TPTP v9.3.1. Released v8.0.0.
% 0.00/0.05  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.38  % Computer : n013.cluster.edu
% 0.12/0.38  % Model    : x86_64 x86_64
% 0.12/0.38  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.38  % Memory   : 8046.5625MB
% 0.12/0.38  % OS       : Linux 6.8.0-71-generic
% 0.12/0.38  % CPULimit : 300
% 0.12/0.38  % WCLimit  : 300
% 0.12/0.38  % DateTime : Sun Sep 27 12:25:06 UTC 2026
% 0.12/0.39  % CPUTime  : 
% 0.12/0.39  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.42  Running first-order theorem proving
% 0.12/0.42  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
% 13.46/3.08  % (154524)Detected formulas, will run a generic FOF schedule.
% 13.46/3.08  % (154572)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3922056954:i=109:sd=1:ins=1:gsp=on:ss=axioms_2996 on theBenchmark for (2996ds/109Mi)
% 13.46/3.08  % (154572)Instruction limit reached! 
% 13.46/3.08  % (154572)------------------------------
% 13.46/3.08  % (154572)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.46/3.08  % (154572)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.46/3.08  % (154572)CaDiCaL version: 2.1.3
% 13.46/3.08  % (154572)Termination reason: Instruction limit
% 13.46/3.08  % (154572)Termination phase: Saturation
% 13.46/3.08  % (154572)Time elapsed: 0.037 s
% 13.46/3.08  % (154572)Peak memory usage: 95 MB
% 13.46/3.08  % (154572)Instructions burned: 112 (million)
% 13.46/3.08  % (154571)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=1114568903:i=141695:sd=1:nm=32:gsp=on:ss=included_2996 on theBenchmark for (2996ds/141695Mi)
% 13.46/3.08  % (154570)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=2265722468:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2996 on theBenchmark for (2996ds/134677Mi)
% 13.46/3.08  % (154573)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=4059946827:i=119:av=off:ss=axioms_2996 on theBenchmark for (2996ds/119Mi)
% 13.46/3.08  % (154569)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=3599447395:i=141193_2996 on theBenchmark for (2996ds/141193Mi)
% 13.46/3.08  % (154575)dis-21_1_sil=8000:lcm=predicate:random_seed=3428208171:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2996 on theBenchmark for (2996ds/129Mi)
% 13.46/3.08  % (154574)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1067139386:s2a=on:i=139:gtg=position_2996 on theBenchmark for (2996ds/139Mi)
% 13.46/3.08  % (154574)Instruction limit reached! 
% 13.46/3.08  % (154574)------------------------------
% 13.46/3.08  % (154574)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.46/3.08  % (154574)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.46/3.08  % (154574)CaDiCaL version: 2.1.3
% 13.46/3.08  % (154574)Termination reason: Instruction limit
% 13.46/3.08  % (154574)Termination phase: SInE selection
% 13.46/3.08  % (154574)Time elapsed: 0.061 s
% 13.46/3.08  % (154574)Peak memory usage: 91 MB
% 13.46/3.08  % (154574)Instructions burned: 140 (million)
% 13.46/3.08  % (154573)Instruction limit reached! 
% 13.46/3.08  % (154573)------------------------------
% 13.46/3.08  % (154573)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.46/3.08  % (154573)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.46/3.08  % (154573)CaDiCaL version: 2.1.3
% 13.46/3.08  % (154573)Termination reason: Instruction limit
% 13.46/3.08  % (154573)Termination phase: Saturation
% 13.46/3.08  % (154573)Time elapsed: 0.075 s
% 13.46/3.08  % (154573)Peak memory usage: 95 MB
% 13.46/3.08  % (154573)Instructions burned: 120 (million)
% 13.46/3.08  % (154575)Instruction limit reached! 
% 13.46/3.08  % (154575)------------------------------
% 13.46/3.08  % (154575)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.46/3.08  % (154575)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.46/3.08  % (154575)CaDiCaL version: 2.1.3
% 13.46/3.08  % (154575)Termination reason: Instruction limit
% 13.46/3.08  % (154575)Termination phase: Preprocessing 3
% 13.46/3.08  % (154575)Time elapsed: 0.083 s
% 13.46/3.08  % (154575)Peak memory usage: 95 MB
% 13.46/3.08  % (154575)Instructions burned: 130 (million)
% 13.46/3.08  % (154577)lrs+10_1_sil=8000:sp=occurrence:random_seed=2929532051:i=285:sd=3:ss=axioms:sgt=8_2994 on theBenchmark for (2994ds/285Mi)
% 13.46/3.08  % (154577)Instruction limit reached! 
% 13.46/3.08  % (154577)------------------------------
% 13.46/3.08  % (154577)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.46/3.08  % (154577)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.46/3.08  % (154577)CaDiCaL version: 2.1.3
% 13.46/3.08  % (154577)Termination reason: Instruction limit
% 13.46/3.08  % (154577)Termination phase: Saturation
% 13.46/3.08  % (154577)Time elapsed: 0.099 s
% 13.46/3.08  % (154577)Peak memory usage: 98 MB
% 13.46/3.08  % (154577)Instructions burned: 287 (million)
% 13.46/3.08  % (154584)lrs+10_1_sil=32000:urr=on:br=off:random_seed=1867653383:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2993 on theBenchmark for (2993ds/157Mi)
% 19.07/4.07  % (154585)lrs+1011_1_sil=32000:sp=occurrence:random_seed=3448753790:i=325:sd=1:ss=axioms:sgt=32_2993 on theBenchmark for (2993ds/325Mi)
% 19.07/4.07  % (154586)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=681634019:s2a=on:i=248:s2at=1.23:gtg=position_2993 on theBenchmark for (2993ds/248Mi)
% 19.07/4.07  % (154584)Instruction limit reached! 
% 19.07/4.07  % (154584)------------------------------
% 19.07/4.07  % (154584)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.07/4.07  % (154584)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.07/4.07  % (154584)CaDiCaL version: 2.1.3
% 19.07/4.07  % (154584)Termination reason: Instruction limit
% 19.07/4.07  % (154584)Termination phase: Saturation
% 19.07/4.07  % (154584)Time elapsed: 0.074 s
% 19.07/4.07  % (154584)Peak memory usage: 94 MB
% 19.07/4.07  % (154584)Instructions burned: 157 (million)
% 19.07/4.07  % (154589)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=2842506675:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2992 on theBenchmark for (2992ds/294Mi)
% 19.07/4.07  % (154586)Instruction limit reached! 
% 19.07/4.07  % (154586)------------------------------
% 19.07/4.07  % (154586)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.07/4.07  % (154586)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.07/4.07  % (154586)CaDiCaL version: 2.1.3
% 19.07/4.07  % (154586)Termination reason: Instruction limit
% 19.07/4.07  % (154586)Termination phase: Preprocessing 3
% 19.07/4.07  % (154586)Time elapsed: 0.129 s
% 19.07/4.07  % (154586)Peak memory usage: 95 MB
% 19.07/4.07  % (154586)Instructions burned: 249 (million)
% 19.07/4.07  % (154589)Instruction limit reached! 
% 19.07/4.07  % (154589)------------------------------
% 19.07/4.07  % (154589)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.07/4.07  % (154589)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.07/4.07  % (154589)CaDiCaL version: 2.1.3
% 19.07/4.07  % (154589)Termination reason: Instruction limit
% 19.07/4.07  % (154589)Termination phase: Saturation
% 19.07/4.07  % (154589)Time elapsed: 0.082 s
% 19.07/4.07  % (154589)Peak memory usage: 97 MB
% 19.07/4.07  % (154589)Instructions burned: 296 (million)
% 19.07/4.07  % (154585)Instruction limit reached! 
% 19.07/4.07  % (154585)------------------------------
% 19.07/4.07  % (154585)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.07/4.07  % (154585)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.07/4.07  % (154585)CaDiCaL version: 2.1.3
% 19.07/4.07  % (154585)Termination reason: Instruction limit
% 19.07/4.07  % (154585)Termination phase: Saturation
% 19.07/4.07  % (154585)Time elapsed: 0.218 s
% 19.07/4.07  % (154585)Peak memory usage: 97 MB
% 19.07/4.07  % (154585)Instructions burned: 326 (million)
% 19.07/4.07  % (154592)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=2276033238:i=2350_2991 on theBenchmark for (2991ds/2350Mi)
% 19.07/4.07  % (154594)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=2747141487:cts=off:i=113:fsr=off:ss=included:sgt=4_2990 on theBenchmark for (2990ds/113Mi)
% 19.07/4.07  % (154595)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=982355910:i=127:av=off:fsr=off:sup=off_2990 on theBenchmark for (2990ds/127Mi)
% 19.07/4.07  % (154595)Instruction limit reached! 
% 19.07/4.07  % (154595)------------------------------
% 19.07/4.07  % (154595)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.07/4.07  % (154595)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.07/4.07  % (154595)CaDiCaL version: 2.1.3
% 19.07/4.07  % (154595)Termination reason: Instruction limit
% 19.07/4.07  % (154595)Termination phase: Preprocessing 3
% 19.07/4.07  % (154595)Time elapsed: 0.045 s
% 19.07/4.07  % (154595)Peak memory usage: 96 MB
% 19.07/4.07  % (154595)Instructions burned: 130 (million)
% 19.07/4.07  % (154594)Instruction limit reached! 
% 19.07/4.07  % (154594)------------------------------
% 19.07/4.07  % (154594)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.07/4.07  % (154594)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.07/4.07  % (154594)CaDiCaL version: 2.1.3
% 19.07/4.07  % (154594)Termination reason: Instruction limit
% 19.07/4.07  % (154594)Termination phase: Preprocessing 3
% 19.07/4.07  % (154594)Time elapsed: 0.074 s
% 19.07/4.07  % (154594)Peak memory usage: 95 MB
% 19.07/4.07  % (154594)Instructions burned: 114 (million)
% 19.07/4.07  % (154597)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=4206523513:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2989 on theBenchmark for (2989ds/114Mi)
% 19.07/4.07  % (154597)Instruction limit reached! 
% 19.07/4.07  % (154597)------------------------------
% 19.07/4.07  % (154597)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.07/4.07  % (154597)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.07/4.07  % (154597)CaDiCaL version: 2.1.3
% 19.07/4.07  % (154597)Termination reason: Instruction limit
% 19.07/4.07  % (154597)Termination phase: Property scanning
% 19.07/4.07  % (154597)Time elapsed: 0.046 s
% 19.07/4.07  % (154597)Peak memory usage: 91 MB
% 19.07/4.07  % (154597)Instructions burned: 116 (million)
% 19.07/4.07  % (154600)lrs+10_1_sil=8000:sp=occurrence:random_seed=2665023642:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2988 on theBenchmark for (2988ds/907Mi)
% 19.07/4.07  % (154601)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=3457097559:i=437:sd=1:aac=none:ss=included_2988 on theBenchmark for (2988ds/437Mi)
% 19.07/4.07  % (154603)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=2218755139:i=5202:ss=axioms:sgt=16_2987 on theBenchmark for (2987ds/5202Mi)
% 19.07/4.07  % (154600)Instruction limit reached! 
% 19.07/4.07  % (154600)------------------------------
% 19.07/4.07  % (154600)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.07/4.07  % (154600)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.07/4.07  % (154600)CaDiCaL version: 2.1.3
% 19.07/4.07  % (154600)Termination reason: Instruction limit
% 19.07/4.07  % (154600)Termination phase: Saturation
% 19.07/4.07  % (154600)Time elapsed: 0.262 s
% 19.07/4.07  % (154600)Peak memory usage: 104 MB
% 19.07/4.07  % (154600)Instructions burned: 910 (million)
% 19.07/4.07  % (154601)Instruction limit reached! 
% 19.07/4.07  % (154601)------------------------------
% 19.07/4.07  % (154601)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.07/4.07  % (154601)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.07/4.07  % (154601)CaDiCaL version: 2.1.3
% 19.07/4.07  % (154601)Termination reason: Instruction limit
% 19.07/4.07  % (154601)Termination phase: Property scanning
% 19.07/4.07  % (154601)Time elapsed: 0.215 s
% 19.07/4.07  % (154601)Peak memory usage: 99 MB
% 19.07/4.07  % (154601)Instructions burned: 437 (million)
% 19.07/4.07  % (154607)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=173778144:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2984 on theBenchmark for (2984ds/134Mi)
% 19.07/4.07  % (154608)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=2959465932:st=8:i=592:sd=3:ep=RST:ss=axioms_2984 on theBenchmark for (2984ds/592Mi)
% 19.07/4.07  % (154607)Instruction limit reached! 
% 19.07/4.07  % (154607)------------------------------
% 19.07/4.07  % (154607)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.07/4.07  % (154607)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.07/4.07  % (154607)CaDiCaL version: 2.1.3
% 19.07/4.07  % (154607)Termination reason: Instruction limit
% 19.07/4.07  % (154607)Termination phase: NewCNF
% 19.07/4.07  % (154607)Time elapsed: 0.054 s
% 19.07/4.07  % (154607)Peak memory usage: 96 MB
% 19.07/4.07  % (154607)Instructions burned: 137 (million)
% 19.07/4.07  % (154611)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=2422914052:st=3:i=13193:sd=3:ss=axioms_2982 on theBenchmark for (2982ds/13193Mi)
% 19.07/4.07  % (154608)Instruction limit reached! 
% 19.07/4.07  % (154608)------------------------------
% 19.07/4.07  % (154608)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.07/4.07  % (154608)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.07/4.07  % (154608)CaDiCaL version: 2.1.3
% 19.07/4.07  % (154608)Termination reason: Instruction limit
% 19.07/4.07  % (154608)Termination phase: Property scanning
% 19.07/4.07  % (154608)Time elapsed: 0.298 s
% 19.07/4.07  % (154608)Peak memory usage: 99 MB
% 19.07/4.07  % (154608)Instructions burned: 594 (million)
% 19.07/4.07  % (154613)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=4140350033:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2980 on theBenchmark for (2980ds/125Mi)
% 19.07/4.07  % (154613)Instruction limit reached! 
% 19.07/4.07  % (154613)------------------------------
% 19.07/4.07  % (154613)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.07/4.07  % (154613)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.07/4.07  % (154613)CaDiCaL version: 2.1.3
% 19.07/4.07  % (154613)Termination reason: Instruction limit
% 19.07/4.07  % (154613)Termination phase: SInE selection
% 19.07/4.07  % (154613)Time elapsed: 0.056 s
% 19.07/4.07  % (154613)Peak memory usage: 91 MB
% 19.07/4.07  % (154613)Instructions burned: 127 (million)
% 19.07/4.07  % (154615)lrs+10_1024_to=lpo:sil=8000:tgt=full:sp=arity:slsq=on:random_seed=619899861:i=134:gtgl=5:slsql=off:gtg=exists_sym_2977 on theBenchmark for (2977ds/134Mi)
% 19.07/4.07  % (154615)Instruction limit reached! 
% 19.07/4.07  % (154615)------------------------------
% 19.07/4.07  % (154615)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.07/4.07  % (154615)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.07/4.07  % (154615)CaDiCaL version: 2.1.3
% 19.07/4.07  % (154615)Termination reason: Instruction limit
% 19.07/4.07  % (154615)Termination phase: Initialization
% 19.07/4.07  % (154615)Time elapsed: 0.057 s
% 19.07/4.07  % (154615)Peak memory usage: 91 MB
% 19.07/4.07  % (154615)Instructions burned: 135 (million)
% 19.07/4.07  % (154592)Instruction limit reached! 
% 19.07/4.07  % (154592)------------------------------
% 19.07/4.07  % (154592)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.07/4.07  % (154592)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.07/4.07  % (154592)CaDiCaL version: 2.1.3
% 19.07/4.07  % (154592)Termination reason: Instruction limit
% 19.07/4.07  % (154592)Termination phase: Saturation
% 19.07/4.07  % (154592)Time elapsed: 1.540 s
% 19.07/4.07  % (154592)Peak memory usage: 250 MB
% 19.07/4.07  % (154592)Instructions burned: 2350 (million)
% 19.07/4.07  % (154617)lrs+10_1_sil=16000:plsq=on:plsqc=1:plsqr=32,1:sos=on:lcm=reverse:fd=off:newcnf=on:random_seed=1828102686:i=141:sd=1:gsp=on:sup=off:ss=axioms:sgt=8_2975 on theBenchmark for (2975ds/141Mi)
% 19.07/4.07  % (154617)Instruction limit reached! 
% 19.07/4.07  % (154617)------------------------------
% 19.07/4.07  % (154617)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.07/4.07  % (154617)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.07/4.07  % (154617)CaDiCaL version: 2.1.3
% 19.07/4.07  % (154617)Termination reason: Instruction limit
% 19.07/4.07  % (154617)Termination phase: Saturation
% 19.07/4.07  % (154617)Time elapsed: 0.083 s
% 19.07/4.07  % (154617)Peak memory usage: 96 MB
% 19.07/4.07  % (154617)Instructions burned: 142 (million)
% 19.07/4.07  % (154618)lrs+1011_1_sil=8000:plsq=on:sp=occurrence:fs=off:random_seed=2085735119:i=431:sd=1:fsr=off:sup=off:ss=axioms:sgt=64_2974 on theBenchmark for (2974ds/431Mi)
% 19.07/4.07  % (154620)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=2367949999:i=6060:aac=none:ins=25_2972 on theBenchmark for (2972ds/6060Mi)
% 19.07/4.07  % (154618)Instruction limit reached! 
% 19.07/4.07  % (154618)------------------------------
% 19.07/4.07  % (154618)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.07/4.07  % (154618)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.07/4.07  % (154618)CaDiCaL version: 2.1.3
% 19.07/4.07  % (154618)Termination reason: Instruction limit
% 19.07/4.07  % (154618)Termination phase: Saturation
% 19.07/4.07  % (154618)Time elapsed: 0.215 s
% 19.07/4.07  % (154618)Peak memory usage: 97 MB
% 19.07/4.07  % (154618)Instructions burned: 432 (million)
% 19.07/4.07  % (154611)First to succeed.
% 19.07/4.07  % (154611)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-154524"
% 19.07/4.07  % (154623)lrs+10_16_anc=all:slsqr=32,1:sil=8000:avsql=on:sp=unary_frequency:lcm=predicate:urr=full:rp=on:br=off:slsqc=4:flr=on:sac=on:slsq=on:avsqc=1:random_seed=2841928276:avsq=on:s2a=on:i=150:kws=precedence:nicw=on:gsp=on:rawr=on_2970 on theBenchmark for (2970ds/150Mi)
% 19.07/4.07  % (154611)Refutation found. Thanks to Tanya!
% 19.07/4.07  % SZS status Theorem for theBenchmark
% 19.07/4.07  % SZS output start Proof for theBenchmark
% See solution above
% 20.84/4.16  % (154611)------------------------------
% 20.84/4.16  % (154611)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.84/4.16  % (154611)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.84/4.16  % (154611)CaDiCaL version: 2.1.3
% 20.84/4.16  % (154611)Termination reason: Refutation
% 20.84/4.16  % (154611)Time elapsed: 1.190 s
% 20.84/4.16  % (154611)Peak memory usage: 202 MB
% 20.84/4.16  % (154611)Instructions burned: 3547 (million)
% 20.84/4.16  % (154611)------------------------------
% 20.84/4.16  % (154611)------------------------------
% 20.84/4.16  % (154524)Success in time 3.213 s
% 20.84/4.16  % Vampire exiting
%------------------------------------------------------------------------------