Vampire---5.0.1.THM-Ref.s

%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : ITP211_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 : n007.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 11:30:12 AM UTC 2026

% Result   : Theorem 2.11s 1.95s
% Output   : Refutation 4.95s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   22
%            Number of leaves      :   11
% Syntax   : Number of formulae    :   69 (  26 unt;   0 typ;   0 def)
%            Number of atoms       :  124 (  62 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   98 (  43   ~;  39   |;   7   &)
%                                         (   4 <=>;   4  =>;   0  <=;   1 <~>)
%            Maximal formula depth :    7 (   3 avg)
%            Maximal term depth    :    4 (   2 avg)
%            Number of types       :  521 ( 520 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of predicates  :  203 ( 201 usr;   1 prp; 0-4 aty)
%            Number of functors    : 1964 (1964 usr; 381 con; 0-8 aty)
%            Number of variables   :   58 (  52   !;   6   ?;  58   :)

% Comments : 
%------------------------------------------------------------------------------
tff(type_def_5,type,
    set_Pr6041871929502663225et_nat: $tType ).

tff(type_def_6,type,
    fun_Pr6803231168968006865t_bool: $tType ).

tff(type_def_7,type,
    produc8012095931379219673et_nat: $tType ).

tff(type_def_8,type,
    fun_Pr1766678018663252541t_bool: $tType ).

tff(type_def_9,type,
    fun_Pr6535039171404285501et_nat: $tType ).

tff(type_def_10,type,
    fun_Pr6859458860894228184et_nat: $tType ).

tff(type_def_11,type,
    fun_Pr8176305432000512344et_nat: $tType ).

tff(type_def_12,type,
    set_Pr4255865656320958847et_nat: $tType ).

tff(type_def_13,type,
    fun_Pr6052842969455678475t_bool: $tType ).

tff(type_def_14,type,
    produc586578377766392095et_nat: $tType ).

tff(type_def_15,type,
    fun_Pr5123258793648662203et_nat: $tType ).

tff(type_def_16,type,
    fun_Pr3712735747772465149t_bool: $tType ).

tff(type_def_17,type,
    fun_Pr3659704428484505341et_nat: $tType ).

tff(type_def_18,type,
    fun_Pr7301545579335958043nteger: $tType ).

tff(type_def_19,type,
    fun_Pr6127221218041104501nteger: $tType ).

tff(type_def_20,type,
    fun_Pr8555020547098233205nteger: $tType ).

tff(type_def_21,type,
    fun_Pr3001699213897242575nteger: $tType ).

tff(type_def_22,type,
    fun_se2730912884141707428t_bool: $tType ).

tff(type_def_23,type,
    fun_Pr229822445725053876t_bool: $tType ).

tff(type_def_24,type,
    set_Pr9222568342844664434et_nat: $tType ).

tff(type_def_25,type,
    set_Pr222142748458615354t_bool: $tType ).

tff(type_def_26,type,
    fun_fu5758690788630904038t_bool: $tType ).

tff(type_def_27,type,
    fun_Pr215885126604245128l_bool: $tType ).

tff(type_def_28,type,
    produc1542783094787327164et_nat: $tType ).

tff(type_def_29,type,
    produc6968460846966063236t_bool: $tType ).

tff(type_def_30,type,
    fun_fu7547279164713276502et_nat: $tType ).

tff(type_def_31,type,
    set_Pr8548855242995119074et_nat: $tType ).

tff(type_def_32,type,
    set_Pr8177988689565181538et_nat: $tType ).

tff(type_def_33,type,
    fun_Pr8311103421978789352t_bool: $tType ).

tff(type_def_34,type,
    produc6036703516317769218et_nat: $tType ).

tff(type_def_35,type,
    produc4587776716583620738et_nat: $tType ).

tff(type_def_36,type,
    fun_Pr2210758139564844958et_nat: $tType ).

tff(type_def_37,type,
    fun_Pr761831339830696478et_nat: $tType ).

tff(type_def_38,type,
    produc5081555286676025831nteger: $tType ).

tff(type_def_39,type,
    produc3632725533738474395et_nat: $tType ).

tff(type_def_40,type,
    set_Pr6448005306607475463t_bool: $tType ).

tff(type_def_41,type,
    fun_Pr509543455618818233t_bool: $tType ).

tff(type_def_42,type,
    fun_Pr5350199696774050811at_nat: $tType ).

tff(type_def_43,type,
    fun_Pr4213701301278458035et_nat: $tType ).

tff(type_def_44,type,
    set_se2897448282425263847t_bool: $tType ).

tff(type_def_45,type,
    produc1329698249991434023t_bool: $tType ).

tff(type_def_46,type,
    fun_fu5792599895934982715t_bool: $tType ).

tff(type_def_47,type,
    produc5182780385608778412et_nat: $tType ).

tff(type_def_48,type,
    set_Pr2055239900342597383t_bool: $tType ).

tff(type_def_49,type,
    fun_se9066322626600930210et_nat: $tType ).

tff(type_def_50,type,
    fun_se973636082235158211t_bool: $tType ).

tff(type_def_51,type,
    fun_fu7365307207611327597l_bool: $tType ).

tff(type_def_52,type,
    fun_Pr3073222722562426257t_bool: $tType ).

tff(type_def_53,type,
    produc1469476007717053223t_bool: $tType ).

tff(type_def_54,type,
    fun_in8942784645934064712et_nat: $tType ).

tff(type_def_55,type,
    set_Pr1106803562331729365et_nat: $tType ).

tff(type_def_56,type,
    set_Pr8919652553310308119t_bool: $tType ).

tff(type_def_57,type,
    fun_fu7398481913972163267t_bool: $tType ).

tff(type_def_58,type,
    fun_Pr979140477516945259l_bool: $tType ).

tff(type_def_59,type,
    produc6108883039684432031et_nat: $tType ).

tff(type_def_60,type,
    produc2123963014314306273t_bool: $tType ).

tff(type_def_61,type,
    fun_fu1426818202555147193et_nat: $tType ).

tff(type_def_62,type,
    fun_Co1105491363547889651atural: $tType ).

tff(type_def_63,type,
    fun_fu4272674133525273539t_bool: $tType ).

tff(type_def_64,type,
    fun_fu2754956555950464963t_bool: $tType ).

tff(type_def_65,type,
    fun_Pr3757777938668859031t_bool: $tType ).

tff(type_def_66,type,
    fun_Pr1014183174784581455t_bool: $tType ).

tff(type_def_67,type,
    fun_Pr4983655124978328031t_bool: $tType ).

tff(type_def_68,type,
    fun_Pr2240060361094050455t_bool: $tType ).

tff(type_def_69,type,
    set_Pr719794911490849221et_nat: $tType ).

tff(type_def_70,type,
    fun_Pr8933696392609397829t_bool: $tType ).

tff(type_def_71,type,
    fun_fu4800041728187187127nteger: $tType ).

tff(type_def_72,type,
    fun_Pr9027168029485879607nteger: $tType ).

tff(type_def_73,type,
    produc8111630337999740517et_nat: $tType ).

tff(type_def_74,type,
    fun_Pr7769407664385210434atural: $tType ).

tff(type_def_75,type,
    produc8903623710181579841nteger: $tType ).

tff(type_def_76,type,
    fun_Pr5504542249117545915et_nat: $tType ).

tff(type_def_77,type,
    fun_Pr7214764501845804219t_unit: $tType ).

tff(type_def_78,type,
    fun_Pr7091840695141096449et_nat: $tType ).

tff(type_def_79,type,
    fun_fu3310558948973754387nteger: $tType ).

tff(type_def_80,type,
    fun_fu8926436095885609094et_nat: $tType ).

tff(type_def_81,type,
    fun_fu9117715662874197469nteger: $tType ).

tff(type_def_82,type,
    fun_Pr5458885100655985245nteger: $tType ).

tff(type_def_83,type,
    fun_Pr4857721227833164125nteger: $tType ).

tff(type_def_84,type,
    fun_Co6653309639117302568nteger: $tType ).

tff(type_def_85,type,
    fun_Co1561183069634336733nteger: $tType ).

tff(type_def_86,type,
    fun_fu4478038021464438563t_unit: $tType ).

tff(type_def_87,type,
    fun_Pr3800342156844704675nteger: $tType ).

tff(type_def_88,type,
    fun_fu5845048363982186797r_bool: $tType ).

tff(type_def_89,type,
    fun_bo1105078601566322605nteger: $tType ).

tff(type_def_90,type,
    fun_fu7638885401485650896er_nat: $tType ).

tff(type_def_91,type,
    fun_na7028214812545403088nteger: $tType ).

tff(type_def_92,type,
    fun_in8262288108676414764nteger: $tType ).

tff(type_def_93,type,
    fun_he2597241314532250788t_bool: $tType ).

tff(type_def_94,type,
    produc5697189838369619070et_nat: $tType ).

tff(type_def_95,type,
    set_Pr1200603583047724451ol_nat: $tType ).

tff(type_def_96,type,
    set_Pr6237782094582346185t_bool: $tType ).

tff(type_def_97,type,
    produc5766230810918527523et_nat: $tType ).

tff(type_def_98,type,
    fun_fu5184991215612278548nteger: $tType ).

tff(type_def_99,type,
    fun_fu4671764723984660721t_bool: $tType ).

tff(type_def_100,type,
    fun_fu2749353902725170073t_bool: $tType ).

tff(type_def_101,type,
    fun_Pr2477239776880934807at_nat: $tType ).

tff(type_def_102,type,
    fun_Pr1308109350235310159nt_int: $tType ).

tff(type_def_103,type,
    fun_Pr5876161306168176259nteger: $tType ).

tff(type_def_104,type,
    fun_Pr7672403737682949028t_unit: $tType ).

tff(type_def_105,type,
    produc2721201938007151049ol_int: $tType ).

tff(type_def_106,type,
    fun_Pr21663490405640598et_nat: $tType ).

tff(type_def_107,type,
    fun_Pr2304087830868576334et_nat: $tType ).

tff(type_def_108,type,
    fun_Pr5444349417986836952at_nat: $tType ).

tff(type_def_109,type,
    fun_Pr5141187847748131984nt_int: $tType ).

tff(type_def_110,type,
    fun_se7275083947436752652l_bool: $tType ).

tff(type_def_111,type,
    set_fu7884337747459999906l_bool: $tType ).

tff(type_def_112,type,
    fun_fu8897467071111498631et_nat: $tType ).

tff(type_def_113,type,
    fun_na5616424005362821463t_bool: $tType ).

tff(type_def_114,type,
    fun_fu4821026654811345315r_assn: $tType ).

tff(type_def_115,type,
    fun_Pr70611744221503047t_unit: $tType ).

tff(type_def_116,type,
    fun_fu6572814390356972386t_unit: $tType ).

tff(type_def_117,type,
    fun_fu3335091274710497827t_assn: $tType ).

tff(type_def_118,type,
    fun_fu1264473476461866025l_assn: $tType ).

tff(type_def_119,type,
    fun_as4100195077546555551t_bool: $tType ).

tff(type_def_120,type,
    set_se2501078297044592302t_bool: $tType ).

tff(type_def_121,type,
    fun_fu3064074204415222357nt_int: $tType ).

tff(type_def_122,type,
    fun_fu1098312133097393581at_rat: $tType ).

tff(type_def_123,type,
    fun_Pr6172722220446688464nteger: $tType ).

tff(type_def_124,type,
    fun_na1668100129766719005at_nat: $tType ).

tff(type_def_125,type,
    fun_Pr8052405283675813457r_bool: $tType ).

tff(type_def_126,type,
    fun_Pr8543155049374816593t_unit: $tType ).

tff(type_def_127,type,
    fun_Pr7273592372765610306er_nat: $tType ).

tff(type_def_128,type,
    fun_Pr4783509227833883550er_int: $tType ).

tff(type_def_129,type,
    fun_Co2470855966376689427nteger: $tType ).

tff(type_def_130,type,
    produc3974974285617410127nteger: $tType ).

tff(type_def_131,type,
    fun_fu9160419385450930796l_bool: $tType ).

tff(type_def_132,type,
    fun_fu7614330534255538897ol_nat: $tType ).

tff(type_def_133,type,
    fun_na589949626680601079t_bool: $tType ).

tff(type_def_134,type,
    fun_in3344392145425689243t_bool: $tType ).

tff(type_def_135,type,
    fun_fu7716566084524949747er_nat: $tType ).

tff(type_def_136,type,
    set_Pr1776176089890104647t_unit: $tType ).

tff(type_def_137,type,
    produc4428605777065428680et_nat: $tType ).

tff(type_def_138,type,
    produc8065447618272157327et_nat: $tType ).

tff(type_def_139,type,
    fun_fu5149662236961268259it_nat: $tType ).

tff(type_def_140,type,
    set_fu6080891106736489294t_bool: $tType ).

tff(type_def_141,type,
    set_Pr8693737435421807431at_nat: $tType ).

tff(type_def_142,type,
    set_Pr5557702248415638087at_int: $tType ).

tff(type_def_143,type,
    set_Pr5696620967126086215nt_nat: $tType ).

tff(type_def_144,type,
    set_Pr2560585780119916871nt_int: $tType ).

tff(type_def_145,type,
    fun_se1339536933736954245et_nat: $tType ).

tff(type_def_146,type,
    fun_Pr3337834798857116037et_nat: $tType ).

tff(type_def_147,type,
    fun_Pr6272012943078625115r_bool: $tType ).

tff(type_def_148,type,
    fun_Pr355790150511728056er_nat: $tType ).

tff(type_def_149,type,
    fun_Pr7089079042434777108er_int: $tType ).

tff(type_def_150,type,
    fun_he1004219788074801965t_bool: $tType ).

tff(type_def_151,type,
    fun_fu4738270438141978787l_assn: $tType ).

tff(type_def_152,type,
    fun_fu5180488074244323977t_assn: $tType ).

tff(type_def_153,type,
    fun_fu7925354201654153025t_assn: $tType ).

tff(type_def_154,type,
    fun_fu727159081937814839r_assn: $tType ).

tff(type_def_155,type,
    fun_se2593093895363294211t_unit: $tType ).

tff(type_def_156,type,
    fun_Pr248683899324676269t_bool: $tType ).

tff(type_def_157,type,
    fun_Pr3099820731930151597t_bool: $tType ).

tff(type_def_158,type,
    fun_na8713714802964096592at_nat: $tType ).

tff(type_def_159,type,
    produc5835291356934675326atural: $tType ).

tff(type_def_160,type,
    produc8126358835630522215t_unit: $tType ).

tff(type_def_161,type,
    fun_fu3190366535859218979t_assn: $tType ).

tff(type_def_162,type,
    fun_fu3307002049327355231l_bool: $tType ).

tff(type_def_163,type,
    fun_fu6750301411456490045r_bool: $tType ).

tff(type_def_164,type,
    fun_Pr6001797050664311790t_bool: $tType ).

tff(type_def_165,type,
    produc859450856879609959at_nat: $tType ).

tff(type_def_166,type,
    produc6495656768158660455at_int: $tType ).

tff(type_def_167,type,
    produc4806409095325742951nt_nat: $tType ).

tff(type_def_168,type,
    produc1219242969750017639nt_int: $tType ).

tff(type_def_169,type,
    fun_Pr6529957239379720399at_nat: $tType ).

tff(type_def_170,type,
    fun_Pr2352106219870523691at_int: $tType ).

tff(type_def_171,type,
    fun_na1841593615831545295et_nat: $tType ).

tff(type_def_172,type,
    fun_in4666789911842550827et_nat: $tType ).

tff(type_def_173,type,
    fun_Co1555053522382583933nteger: $tType ).

tff(type_def_174,type,
    set_Pr7577011563204128103nteger: $tType ).

tff(type_def_175,type,
    fun_fu7012545734135022755ol_nat: $tType ).

tff(type_def_176,type,
    fun_Co7614951723420848477t_unit: $tType ).

tff(type_def_177,type,
    fun_fu5026725344274480089at_nat: $tType ).

tff(type_def_178,type,
    fun_fu6730287655669069969nt_nat: $tType ).

tff(type_def_179,type,
    fun_fu2645800954871104329nt_int: $tType ).

tff(type_def_180,type,
    fun_fu6225000568980017287er_nat: $tType ).

tff(type_def_181,type,
    set_Pr4071100604818519410t_unit: $tType ).

tff(type_def_182,type,
    set_Pr3948176798113811640et_nat: $tType ).

tff(type_def_183,type,
    fun_Pr7732015048784455459t_unit: $tType ).

tff(type_def_184,type,
    set_Pr3980508049012409671t_unit: $tType ).

tff(type_def_185,type,
    fun_Pr6596356882939945227nteger: $tType ).

tff(type_def_186,type,
    fun_na4143055713577223196at_nat: $tType ).

tff(type_def_187,type,
    fun_in2204242111582549184nt_int: $tType ).

tff(type_def_188,type,
    fun_Co6597186368970283863nteger: $tType ).

tff(type_def_189,type,
    produc8291039053469430389nteger: $tType ).

tff(type_def_190,type,
    produc4583073815358615925nteger: $tType ).

tff(type_def_191,type,
    fun_fu8187493333656138275it_nat: $tType ).

tff(type_def_192,type,
    fun_he2331061685413951235t_unit: $tType ).

tff(type_def_193,type,
    fun_se4340818509347730467r_bool: $tType ).

tff(type_def_194,type,
    fun_Pr864343514034809617nteger: $tType ).

tff(type_def_195,type,
    fun_se9021057006710688848t_bool: $tType ).

tff(type_def_196,type,
    fun_Pr2118491707810114563at_nat: $tType ).

tff(type_def_197,type,
    fun_Pr1815330137571409595nt_int: $tType ).

tff(type_def_198,type,
    fun_Pr2781445390919227211at_nat: $tType ).

tff(type_def_199,type,
    fun_Pr2478283820680522243nt_int: $tType ).

tff(type_def_200,type,
    fun_he7710493197641524256t_bool: $tType ).

tff(type_def_201,type,
    produc946272785734678041at_nat: $tType ).

tff(type_def_202,type,
    produc9072561841945455293at_nat: $tType ).

tff(type_def_203,type,
    produc2403147879249084277nt_int: $tType ).

tff(type_def_204,type,
    produc1306064898605085721nt_int: $tType ).

tff(type_def_205,type,
    fun_se3369753059466909485t_bool: $tType ).

tff(type_def_206,type,
    produc6491284506569428743nteger: $tType ).

tff(type_def_207,type,
    fun_fu3065856773340909731l_assn: $tType ).

tff(type_def_208,type,
    fun_Pr9137895030342395229t_unit: $tType ).

tff(type_def_209,type,
    fun_na572088516609390416t_unit: $tType ).

tff(type_def_210,type,
    fun_fu6924846375782198887atural: $tType ).

tff(type_def_211,type,
    fun_fu5799692449055808797t_assn: $tType ).

tff(type_def_212,type,
    fun_fu6921880696561781257nteger: $tType ).

tff(type_def_213,type,
    fun_fu6757290529232567765t_assn: $tType ).

tff(type_def_214,type,
    produc7348995623955488188t_unit: $tType ).

tff(type_def_215,type,
    produc3658429121746597890et_nat: $tType ).

tff(type_def_216,type,
    fun_he8038253169496836892et_nat: $tType ).

tff(type_def_217,type,
    set_se8994758365886191399t_unit: $tType ).

tff(type_def_218,type,
    produc1357844946079266663t_unit: $tType ).

tff(type_def_219,type,
    fun_se3394281818192328589t_bool: $tType ).

tff(type_def_220,type,
    fun_Pr4523587930069869694nteger: $tType ).

tff(type_def_221,type,
    fun_Pr5940403383236205310nteger: $tType ).

tff(type_def_222,type,
    fun_Co2652536811680367946nteger: $tType ).

tff(type_def_223,type,
    fun_Co9221593637010378er_nat: $tType ).

tff(type_def_224,type,
    fun_Co6135463642965612765t_bool: $tType ).

tff(type_def_225,type,
    fun_fu5970656269460422159t_bool: $tType ).

tff(type_def_226,type,
    fun_fu8467804991414204575t_bool: $tType ).

tff(type_def_227,type,
    fun_fu5689865433563736081nteger: $tType ).

tff(type_def_228,type,
    fun_se1909708154429037836et_nat: $tType ).

tff(type_def_229,type,
    fun_se6573205548028396576et_int: $tType ).

tff(type_def_230,type,
    fun_Pr7106788231463976196nteger: $tType ).

tff(type_def_231,type,
    fun_Pr4463473013420618628er_nat: $tType ).

tff(type_def_232,type,
    fun_Co6813818151677833714atural: $tType ).

tff(type_def_233,type,
    fun_Co2658217733684604899et_nat: $tType ).

tff(type_def_234,type,
    fun_Co8916118683150202523et_int: $tType ).

tff(type_def_235,type,
    fun_Co1981900195452921617nteger: $tType ).

tff(type_def_236,type,
    fun_Pr5513535723070646483t_unit: $tType ).

tff(type_def_237,type,
    fun_Pr3763555631386913362t_unit: $tType ).

tff(type_def_238,type,
    fun_Pr5318341826863983862t_unit: $tType ).

tff(type_def_239,type,
    fun_fi5759838706352575625t_bool: $tType ).

tff(type_def_240,type,
    set_Pr3642346839158376647t_bool: $tType ).

tff(type_def_241,type,
    fun_Pr5932607294251420486t_bool: $tType ).

tff(type_def_242,type,
    fun_Pr3145601080792579042t_bool: $tType ).

tff(type_def_243,type,
    fun_fu3586949539055599609t_unit: $tType ).

tff(type_def_244,type,
    fun_na4138050610385705875at_nat: $tType ).

tff(type_def_245,type,
    fun_in1696471567231710611nt_int: $tType ).

tff(type_def_246,type,
    set_Pr5488025237498180813et_nat: $tType ).

tff(type_def_247,type,
    set_Pr2522554150109002629et_int: $tType ).

tff(type_def_248,type,
    set_Pr4811707699266497531nteger: $tType ).

tff(type_def_249,type,
    fun_fu9149972526633946275ol_nat: $tType ).

tff(type_def_250,type,
    fun_Co8104335112430297437t_unit: $tType ).

tff(type_def_251,type,
    fun_fu8205514246900447853at_nat: $tType ).

tff(type_def_252,type,
    fun_fu1358573228874515237nt_nat: $tType ).

tff(type_def_253,type,
    fun_fu3260953082973683165nt_int: $tType ).

tff(type_def_254,type,
    fun_se1992738044240919715nteger: $tType ).

tff(type_def_255,type,
    set_Pr4580871404036792859t_unit: $tType ).

tff(type_def_256,type,
    produc6653097349344004940it_nat: $tType ).

tff(type_def_257,type,
    produc2475246329834808232it_int: $tType ).

tff(type_def_258,type,
    fun_Pr3553901264588531491t_unit: $tType ).

tff(type_def_259,type,
    set_Pr5094982260447487303t_unit: $tType ).

tff(type_def_260,type,
    fun_bo430240058039468410nteger: $tType ).

tff(type_def_261,type,
    fun_se7834784120450421933l_bool: $tType ).

tff(type_def_262,type,
    fun_Pr7395487658768111217er_nat: $tType ).

tff(type_def_263,type,
    fun_Pr3513738403344720850et_nat: $tType ).

tff(type_def_264,type,
    fun_Pr1791375292569619697at_nat: $tType ).

tff(type_def_265,type,
    fun_na7044673412300895210at_nat: $tType ).

tff(type_def_266,type,
    fun_bo2177052459101130925t_bool: $tType ).

tff(type_def_267,type,
    fun_se1968678328126148355t_unit: $tType ).

tff(type_def_268,type,
    fun_na1053657639205449936t_bool: $tType ).

tff(type_def_269,type,
    fun_bo7757639093933629149t_bool: $tType ).

tff(type_def_270,type,
    fun_se707272970763642173t_bool: $tType ).

tff(type_def_271,type,
    fun_se6049520964208396421t_bool: $tType ).

tff(type_def_272,type,
    fun_Co9170264581657726457l_bool: $tType ).

tff(type_def_273,type,
    fun_Co8310303586393106575r_bool: $tType ).

tff(type_def_274,type,
    fun_se704019859950278126r_assn: $tType ).

tff(type_def_275,type,
    fun_Pr7036769738611282295at_nat: $tType ).

tff(type_def_276,type,
    fun_Pr6733608168372577327nt_int: $tType ).

tff(type_def_277,type,
    fun_na7754705478876614998et_nat: $tType ).

tff(type_def_278,type,
    fun_na4789234391487436814et_int: $tType ).

tff(type_def_279,type,
    fun_in3946961816151909994et_int: $tType ).

tff(type_def_280,type,
    fun_Co1092983284983208416er_int: $tType ).

tff(type_def_281,type,
    fun_se1813665818355946760t_assn: $tType ).

tff(type_def_282,type,
    set_se3685025362742366375l_bool: $tType ).

tff(type_def_283,type,
    produc6172120975061646567t_bool: $tType ).

tff(type_def_284,type,
    set_Pr9123050470547338789r_bool: $tType ).

tff(type_def_285,type,
    fun_Pr5562079387306038061t_bool: $tType ).

tff(type_def_286,type,
    set_se7855581050983116737at_nat: $tType ).

tff(type_def_287,type,
    set_se6260736226359567993nt_int: $tType ).

tff(type_def_288,type,
    set_Pr2406931829603198446nteger: $tType ).

tff(type_def_289,type,
    set_Pr8986988648414616686er_nat: $tType ).

tff(type_def_290,type,
    set_Pr6496905503482889930er_int: $tType ).

tff(type_def_291,type,
    produc7819656566062154093et_nat: $tType ).

tff(type_def_292,type,
    produc2115011035271226405et_int: $tType ).

tff(type_def_293,type,
    produc7822875418678951345atural: $tType ).

tff(type_def_294,type,
    produc8923325533196201883nteger: $tType ).

tff(type_def_295,type,
    fun_na4027882378538671952t_unit: $tType ).

tff(type_def_296,type,
    fun_in6148020733644367646t_bool: $tType ).

tff(type_def_297,type,
    set_Pr1252729530486308177t_bool: $tType ).

tff(type_def_298,type,
    set_Pr1363446236920669885t_unit: $tType ).

tff(type_def_299,type,
    fun_se4682100207013029526er_nat: $tType ).

tff(type_def_300,type,
    fun_se3362872515591026879et_nat: $tType ).

tff(type_def_301,type,
    fun_se5369538688796340886nteger: $tType ).

tff(type_def_302,type,
    fun_na3244735409550470327at_nat: $tType ).

tff(type_def_303,type,
    fun_Co744628173305925485nteger: $tType ).

tff(type_def_304,type,
    fun_as3983628580203722482n_assn: $tType ).

tff(type_def_305,type,
    set_fu5818728815147633517nteger: $tType ).

tff(type_def_306,type,
    set_Pr1763845938948868674it_nat: $tType ).

tff(type_def_307,type,
    set_Pr8497134830871917726it_int: $tType ).

tff(type_def_308,type,
    set_Pr4334478416066269672t_unit: $tType ).

tff(type_def_309,type,
    set_Pr5889264611543340172t_unit: $tType ).

tff(type_def_310,type,
    fun_he6201055237484778573t_bool: $tType ).

tff(type_def_311,type,
    fun_bo8995055541810095699l_bool: $tType ).

tff(type_def_312,type,
    fun_se6000990411501066672it_nat: $tType ).

tff(type_def_313,type,
    fun_Pr1789781366282006579nteger: $tType ).

tff(type_def_314,type,
    fun_na8669532458821385046t_unit: $tType ).

tff(type_def_315,type,
    fun_in7572449478177386490t_unit: $tType ).

tff(type_def_316,type,
    fun_he1033112309995878576it_nat: $tType ).

tff(type_def_317,type,
    fun_he6078633327341457676it_int: $tType ).

tff(type_def_318,type,
    fun_bo5028639161814991974t_bool: $tType ).

tff(type_def_319,type,
    fun_bo4568356210168345354t_bool: $tType ).

tff(type_def_320,type,
    fun_Co7675133579868055849t_unit: $tType ).

tff(type_def_321,type,
    produc8459935480633519975t_unit: $tType ).

tff(type_def_322,type,
    fun_Pr7757163693017731481t_bool: $tType ).

tff(type_def_323,type,
    fun_Pr803113274115125473t_bool: $tType ).

tff(type_def_324,type,
    fun_na6010711327783111523ol_nat: $tType ).

tff(type_def_325,type,
    fun_bo8023800293961592301at_nat: $tType ).

tff(type_def_326,type,
    fun_fu3299046182039849229t_bool: $tType ).

tff(type_def_327,type,
    fun_ra4503298312962071866nt_int: $tType ).

tff(type_def_328,type,
    fun_Pr2602117396471556196at_nat: $tType ).

tff(type_def_329,type,
    fun_Pr7647638413817135296at_int: $tType ).

tff(type_def_330,type,
    fun_Pr1652463973008025892nt_rat: $tType ).

tff(type_def_331,type,
    fun_Pr982841511892225912nt_int: $tType ).

tff(type_def_332,type,
    fun_na1476630412504255114at_nat: $tType ).

tff(type_def_333,type,
    fun_na3663551987197276902nt_nat: $tType ).

tff(type_def_334,type,
    fun_in4514472496968388910at_nat: $tType ).

tff(type_def_335,type,
    fun_in4211310926729683942nt_int: $tType ).

tff(type_def_336,type,
    fun_Pr3013102738158121955t_unit: $tType ).

tff(type_def_337,type,
    fun_fu8153070577022650169et_nat: $tType ).

tff(type_def_338,type,
    fun_fu5472281516858659385et_int: $tType ).

tff(type_def_339,type,
    fun_se5532715864020165650l_assn: $tType ).

tff(type_def_340,type,
    fun_na7327111457444404817l_bool: $tType ).

tff(type_def_341,type,
    fun_in5519481650651148416r_bool: $tType ).

tff(type_def_342,type,
    fun_as7903617535776176121n_bool: $tType ).

tff(type_def_343,type,
    filter1242075044329608583at_nat: $tType ).

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

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

tff(type_def_346,type,
    fun_se244736854054144952r_assn: $tType ).

tff(type_def_347,type,
    fun_se2151927607522237480t_assn: $tType ).

tff(type_def_348,type,
    set_Pr8621012493645324487l_bool: $tType ).

tff(type_def_349,type,
    set_he8644174446132254637t_unit: $tType ).

tff(type_def_350,type,
    set_Pr4681767519595310322t_bool: $tType ).

tff(type_def_351,type,
    set_Pr4221484567948663702t_bool: $tType ).

tff(type_def_352,type,
    set_Pr7141997262790060364ol_nat: $tType ).

tff(type_def_353,type,
    set_Pr4651914117858333608ol_int: $tType ).

tff(type_def_354,type,
    fun_Pr566567543205111936er_nat: $tType ).

tff(type_def_355,type,
    set_Pr1261947904930325089at_nat: $tType ).

tff(type_def_356,type,
    set_Pr7995236796853374141at_int: $tType ).

tff(type_def_357,type,
    set_Pr3448869479623346877nt_nat: $tType ).

tff(type_def_358,type,
    set_Pr958786334691620121nt_int: $tType ).

tff(type_def_359,type,
    produc2400336064389900727et_nat: $tType ).

tff(type_def_360,type,
    produc2771989624626745363et_nat: $tType ).

tff(type_def_361,type,
    fun_se1093428521897753731t_bool: $tType ).

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

tff(type_def_363,type,
    fun_se2712834123562403997r_bool: $tType ).

tff(type_def_364,type,
    fun_bo8700639080905871165nteger: $tType ).

tff(type_def_365,type,
    fun_Co5127707541723817779t_bool: $tType ).

tff(type_def_366,type,
    produc2151345699928993137t_bool: $tType ).

tff(type_def_367,type,
    produc2470230561889619165t_unit: $tType ).

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

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

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

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

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

tff(type_def_373,type,
    fun_se5752938643995848800er_nat: $tType ).

tff(type_def_374,type,
    fun_na9118744110877893344nteger: $tType ).

tff(type_def_375,type,
    fun_in6808926178784942396nteger: $tType ).

tff(type_def_376,type,
    fun_Co7398788559141407565atural: $tType ).

tff(type_def_377,type,
    fun_Co2940338738630218498nteger: $tType ).

tff(type_def_378,type,
    fun_Co8307959106670069728et_nat: $tType ).

tff(type_def_379,type,
    fun_Co5817875961738342972et_int: $tType ).

tff(type_def_380,type,
    fun_Co3734316457315071362atural: $tType ).

tff(type_def_381,type,
    fun_Co8499238673658658103nteger: $tType ).

tff(type_def_382,type,
    produc600557818389255820it_nat: $tType ).

tff(type_def_383,type,
    produc5646078835734834920it_int: $tType ).

tff(type_def_384,type,
    produc526117512892780850t_unit: $tType ).

tff(type_def_385,type,
    produc6865911496949736918t_unit: $tType ).

tff(type_def_386,type,
    fun_se407542756755239981t_bool: $tType ).

tff(type_def_387,type,
    fun_Pr6388117812002676717t_bool: $tType ).

tff(type_def_388,type,
    fun_bo8182086032597355865t_unit: $tType ).

tff(type_def_389,type,
    set_fu6339532538019888579t_bool: $tType ).

tff(type_def_390,type,
    fun_se6196082035949986000it_nat: $tType ).

tff(type_def_391,type,
    fun_Pr1628945989756059814et_nat: $tType ).

tff(type_def_392,type,
    fun_Pr8362234881679108866et_int: $tType ).

tff(type_def_393,type,
    fun_Pr6278675377255837256atural: $tType ).

tff(type_def_394,type,
    fun_Pr1820225556744648189nteger: $tType ).

tff(type_def_395,type,
    fun_na896991816813928310t_unit: $tType ).

tff(type_def_396,type,
    fun_in4731230917697954842t_unit: $tType ).

tff(type_def_397,type,
    fun_Co3228878137750316606t_unit: $tType ).

tff(type_def_398,type,
    fun_Co1365676809456677961t_unit: $tType ).

tff(type_def_399,type,
    fun_bo1841576699660343469l_bool: $tType ).

tff(type_def_400,type,
    fun_Pr2191293291710260995t_unit: $tType ).

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

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

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

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

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

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

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

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

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

tff(type_def_410,type,
    fun_Co4490034186337852034r_assn: $tType ).

tff(type_def_411,type,
    fun_as9138348466139350018nteger: $tType ).

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

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

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

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

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

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

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

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

tff(type_def_420,type,
    fun_Pr6626665806141890376t_assn: $tType ).

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

tff(type_def_422,type,
    produc2804947525362035943l_bool: $tType ).

tff(type_def_423,type,
    heap_e7401611519738050253t_unit: $tType ).

tff(type_def_424,type,
    produc8000372497851584572t_bool: $tType ).

tff(type_def_425,type,
    produc4876081531382960352t_bool: $tType ).

tff(type_def_426,type,
    produc567104428201204118ol_nat: $tType ).

tff(type_def_427,type,
    produc5612625445546783218ol_int: $tType ).

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

tff(type_def_443,type,
    fun_bo2517147204845630802atural: $tType ).

tff(type_def_444,type,
    fun_bo7282069421189217543nteger: $tType ).

tff(type_def_445,type,
    fun_Co7175331531449502024l_bool: $tType ).

tff(type_def_446,type,
    fun_Co8822979462182099027r_bool: $tType ).

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

tff(type_def_467,type,
    fun_Pr1572506220757514509t_bool: $tType ).

tff(type_def_468,type,
    fun_bo1891391082718140537t_unit: $tType ).

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

tff(func_def_0,type,
    aTP_Lamm_a: set_fu6080891106736489294t_bool > fun_fu9160419385450930796l_bool ).

tff(func_def_1,type,
    aTP_Lamm_aa: set_nat > fun_nat_bool ).

tff(func_def_2,type,
    aTP_Lamm_ab: set_int > fun_int_bool ).

tff(func_def_3,type,
    aTP_Lamm_ac: set_bool > fun_bool_bool ).

tff(func_def_4,type,
    aTP_Lamm_ad: set_Product_unit > fun_Pr1572506220757514509t_bool ).

tff(func_def_5,type,
    aTP_Lamm_ae: fun_Pr6001797050664311790t_bool > fun_fu7398481913972163267t_bool ).

tff(func_def_6,type,
    aTP_Lamm_af: fun_Pr6001797050664311790t_bool > fun_fu7398481913972163267t_bool ).

tff(func_def_7,type,
    aTP_Lamm_ag: fun_Pr6001797050664311790t_bool ).

tff(func_def_8,type,
    aTP_Lamm_ah: fun_fu7398481913972163267t_bool ).

tff(func_def_9,type,
    aTP_Lamm_ai: assn > fun_as4100195077546555551t_bool ).

tff(func_def_10,type,
    aTP_Lamm_aj: assn > fun_as4100195077546555551t_bool ).

tff(func_def_11,type,
    aTP_Lamm_ak: nat > fun_nat_fun_nat_bool ).

tff(func_def_12,type,
    aTP_Lamm_al: fun_as4100195077546555551t_bool ).

tff(func_def_13,type,
    aTP_Lamm_am: fun_nat_fun_nat_bool ).

tff(func_def_14,type,
    aTP_Lamm_an: fun_nat_set_nat ).

tff(func_def_15,type,
    aTP_Lamm_ao: nat > fun_na3244735409550470327at_nat ).

tff(func_def_16,type,
    aTP_Lamm_ap: fun_nat_nat ).

tff(func_def_17,type,
    aTP_Lamm_aq: nat > fun_na3244735409550470327at_nat ).

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

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

tff(func_def_20,type,
    aTP_Lamm_at: nat > fun_nat_fun_nat_nat ).

tff(func_def_21,type,
    aTP_Lamm_au: num > fun_na4138050610385705875at_nat ).

tff(func_def_22,type,
    aTP_Lamm_av: num > fun_in1696471567231710611nt_int ).

tff(func_def_23,type,
    aTP_Lamm_aw: fun_int_int ).

tff(func_def_24,type,
    aTP_Lamm_ax: nat > fun_nat_nat ).

tff(func_def_25,type,
    aTP_Lamm_ay: num > fun_Co2470855966376689427nteger ).

tff(func_def_26,type,
    aTP_Lamm_az: fun_Co1981900195452921617nteger ).

tff(func_def_27,type,
    aTP_Lamm_ba: code_integer > fun_Co2470855966376689427nteger ).

tff(func_def_28,type,
    aTP_Lamm_bb: fun_Pr1308109350235310159nt_int ).

tff(func_def_29,type,
    aTP_Lamm_bc: fun_Pr1308109350235310159nt_int ).

tff(func_def_30,type,
    aTP_Lamm_bd: fun_Co1092983284983208416er_int ).

tff(func_def_31,type,
    aTP_Lamm_be: fun_Pr803113274115125473t_bool ).

tff(func_def_32,type,
    aTP_Lamm_bf: nat > fun_na4143055713577223196at_nat ).

tff(func_def_33,type,
    aTP_Lamm_bg: fun_na1668100129766719005at_nat ).

tff(func_def_34,type,
    aTP_Lamm_bh: fun_nat_bool > fun_nat_bool ).

tff(func_def_35,type,
    aTP_Lamm_bi: fun_nat_bool > fun_nat_fun_nat_bool ).

tff(func_def_36,type,
    aTP_Lamm_bj: fun_nat_bool ).

tff(func_def_37,type,
    aTP_Lamm_bk: int > fun_in2204242111582549184nt_int ).

tff(func_def_38,type,
    aTP_Lamm_bl: rat > fun_in1696471567231710611nt_int ).

tff(func_def_39,type,
    aTP_Lamm_bm: int > fun_in2204242111582549184nt_int ).

tff(func_def_40,type,
    aTP_Lamm_bn: rat > fun_in1696471567231710611nt_int ).

tff(func_def_41,type,
    aTP_Lamm_bo: int > fun_in2204242111582549184nt_int ).

tff(func_def_42,type,
    aTP_Lamm_bp: rat > fun_in1696471567231710611nt_int ).

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

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

tff(func_def_45,type,
    aTP_Lamm_bs: int > fun_in6148020733644367646t_bool ).

tff(func_def_46,type,
    aTP_Lamm_bt: rat > fun_int_fun_int_bool ).

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

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

tff(func_def_49,type,
    aTP_Lamm_bw: fun_in1696471567231710611nt_int ).

tff(func_def_50,type,
    aTP_Lamm_bx: fun_nat_nat ).

tff(func_def_51,type,
    aTP_Lamm_by: nat > fun_nat_nat ).

tff(func_def_52,type,
    aTP_Lamm_bz: code_natural > fun_Co1105491363547889651atural ).

tff(func_def_53,type,
    aTP_Lamm_ca: fun_Co1105491363547889651atural ).

tff(func_def_54,type,
    aTP_Lamm_cb: code_natural > fun_Co1105491363547889651atural ).

tff(func_def_55,type,
    abs_assn: fun_fu1264473476461866025l_assn ).

tff(func_def_56,type,
    rep_assn: fun_as4100195077546555551t_bool ).

tff(func_def_57,type,
    in_range: fun_Pr6001797050664311790t_bool ).

tff(func_def_58,type,
    in_range_rel: fun_Pr8933696392609397829t_bool ).

tff(func_def_59,type,
    is_pure_assn: fun_assn_bool ).

tff(func_def_60,type,
    one_assn_raw: fun_Pr6001797050664311790t_bool ).

tff(func_def_61,type,
    one_assn_raw_rel: fun_Pr8933696392609397829t_bool ).

tff(func_def_62,type,
    proper: fun_fu9160419385450930796l_bool ).

tff(func_def_63,type,
    pure_assn: fun_bool_assn ).

tff(func_def_64,type,
    pure_a825153325127701367it_nat: bool > fun_Pr6001797050664311790t_bool ).

tff(func_def_65,type,
    pure_a6022498039421069578it_nat: fun_Pr509543455618818233t_bool ).

tff(func_def_66,type,
    relH: set_nat > fun_he1004219788074801965t_bool ).

tff(func_def_67,type,
    times_assn_raw: fun_Pr6001797050664311790t_bool > fun_fu7398481913972163267t_bool ).

tff(func_def_68,type,
    times_assn_raw_rel: fun_Pr6803231168968006865t_bool ).

tff(func_def_69,type,
    wand_assn: assn > fun_assn_assn ).

tff(func_def_70,type,
    wand_raw: fun_Pr6001797050664311790t_bool > fun_fu7398481913972163267t_bool ).

tff(func_def_71,type,
    wand_raw_rel: fun_Pr6803231168968006865t_bool ).

tff(func_def_72,type,
    bNF_Cardinal_cone: set_Pr5094982260447487303t_unit ).

tff(func_def_73,type,
    bNF_Ca7083678892733797993t_unit: set_Product_unit > set_Pr5094982260447487303t_unit ).

tff(func_def_74,type,
    bNF_fs3871268833404974121et_nat: ( fun_he7710493197641524256t_bool * fun_se707272970763642173t_bool ) > fun_Pr7091840695141096449et_nat ).

tff(func_def_75,type,
    bNF_fs8167890477030535480nt_int: ( fun_int_fun_int_bool * fun_int_fun_int_bool ) > fun_Pr2478283820680522243nt_int ).

tff(func_def_76,type,
    bNF_pi3450177011487049898et_nat: ( fun_he1004219788074801965t_bool * fun_he7710493197641524256t_bool * heap_e7401611519738050253t_unit * set_nat ) > heap_e7401611519738050253t_unit ).

tff(func_def_77,type,
    bNF_pi4042512755101277815et_nat: ( fun_he7710493197641524256t_bool * fun_se707272970763642173t_bool * heap_e7401611519738050253t_unit ) > fun_set_nat_set_nat ).

tff(func_def_78,type,
    bNF_pi8853482479757052266nt_int: ( fun_int_fun_int_bool * fun_int_fun_int_bool * int ) > fun_int_int ).

tff(func_def_79,type,
    bNF_re3379532845092657523nteger: ( fun_in5519481650651148416r_bool * fun_in5519481650651148416r_bool ) > fun_fu6750301411456490045r_bool ).

tff(func_def_80,type,
    bNF_re4712519889275205905nt_int: ( fun_int_fun_int_bool * fun_int_fun_int_bool ) > fun_fu8467804991414204575t_bool ).

tff(func_def_81,type,
    bNF_re3704215830270325841atural: ( fun_na7327111457444404817l_bool * fun_na7327111457444404817l_bool ) > fun_fu3307002049327355231l_bool ).

tff(func_def_82,type,
    bNF_re5653821019739307937at_nat: ( fun_nat_fun_nat_bool * fun_nat_fun_nat_bool ) > fun_fu5970656269460422159t_bool ).

tff(func_def_83,type,
    bNF_re7145576690424134365nt_int: ( fun_Pr3099820731930151597t_bool * fun_Pr3099820731930151597t_bool ) > fun_fu2754956555950464963t_bool ).

tff(func_def_84,type,
    bNF_re8279943556446156061nt_rat: ( fun_Pr3145601080792579042t_bool * fun_Pr3145601080792579042t_bool ) > fun_fu2749353902725170073t_bool ).

tff(func_def_85,type,
    bNF_re7400052026677387805at_int: ( fun_Pr5932607294251420486t_bool * fun_Pr5932607294251420486t_bool ) > fun_fu4671764723984660721t_bool ).

tff(func_def_86,type,
    bNF_re2241393799969408733at_nat: ( fun_Pr248683899324676269t_bool * fun_Pr248683899324676269t_bool ) > fun_fu4272674133525273539t_bool ).

tff(func_def_87,type,
    bNF_sn4039337771197282234et_nat: ( fun_he1004219788074801965t_bool * fun_he7710493197641524256t_bool ) > fun_Pr7091840695141096449et_nat ).

tff(func_def_88,type,
    bNF_sn1062102010912252026nt_int: ( fun_int_fun_int_bool * fun_int_fun_int_bool ) > fun_Pr2478283820680522243nt_int ).

tff(func_def_89,type,
    bNF_We1730399552001240015qr_int: set_Pr958786334691620121nt_int > set_Pr2560585780119916871nt_int ).

tff(func_def_90,type,
    bNF_We1732890022510290291qr_nat: set_Pr1261947904930325089at_nat > set_Pr8693737435421807431at_nat ).

tff(func_def_91,type,
    bNF_We6061938859600634829m_bool: ( set_Pr8621012493645324487l_bool * set_bool ) > fun_bool_bool ).

tff(func_def_92,type,
    bNF_We6511469253196982518im_int: ( set_Pr958786334691620121nt_int * set_int ) > fun_int_bool ).

tff(func_def_93,type,
    bNF_We6513959723706032794im_nat: ( set_Pr1261947904930325089at_nat * set_nat ) > fun_nat_bool ).

tff(func_def_94,type,
    bNF_We909621271159000003t_unit: ( set_Pr5094982260447487303t_unit * set_Product_unit ) > fun_Pr1572506220757514509t_bool ).

tff(func_def_95,type,
    bNF_We8035361072033415076t_bool: ( set_Pr2055239900342597383t_bool * set_fu6080891106736489294t_bool ) > fun_fu9160419385450930796l_bool ).

tff(func_def_96,type,
    bNF_We50608061661283229172_bool: set_Pr8621012493645324487l_bool > fun_bo1841576699660343469l_bool ).

tff(func_def_97,type,
    bNF_We2378448595015613790x2_int: ( set_Pr958786334691620121nt_int * int ) > fun_int_int ).

tff(func_def_98,type,
    bNF_We2380939065524664066x2_nat: ( set_Pr1261947904930325089at_nat * nat ) > fun_nat_nat ).

tff(func_def_99,type,
    bNF_We7204996500647184731t_unit: ( set_Pr5094982260447487303t_unit * product_unit ) > fun_Pr2191293291710260995t_unit ).

tff(func_def_100,type,
    bNF_We3371498468673078588t_bool: ( set_Pr2055239900342597383t_bool * fun_Pr6001797050664311790t_bool ) > fun_fu7398481913972163267t_bool ).

tff(func_def_101,type,
    bNF_We2070027895610313187m_bool: set_Pr8621012493645324487l_bool > fun_set_bool_bool ).

tff(func_def_102,type,
    bNF_We3272633801743244640im_int: ( set_Pr958786334691620121nt_int * set_int ) > int ).

tff(func_def_103,type,
    bNF_We3275124272252294916im_nat: set_Pr1261947904930325089at_nat > fun_set_nat_nat ).

tff(func_def_104,type,
    bNF_We7185707985517244377t_unit: ( set_Pr5094982260447487303t_unit * set_Product_unit ) > product_unit ).

tff(func_def_105,type,
    bNF_We6620120418262033850t_bool: ( set_Pr2055239900342597383t_bool * set_fu6080891106736489294t_bool ) > fun_Pr6001797050664311790t_bool ).

tff(func_def_106,type,
    basic_5567952622663070111et_nat: ( fun_he1033112309995878576it_nat * fun_set_nat_nat ) > fun_Pr6529957239379720399at_nat ).

tff(func_def_107,type,
    basic_1872990034501187214nt_int: ( fun_int_nat * fun_int_nat * product_prod_int_int ) > nat ).

tff(func_def_108,type,
    basic_7833836874476830220et_nat: produc3658429121746597890et_nat > set_he8644174446132254637t_unit ).

tff(func_def_109,type,
    basic_fsts_int_int: product_prod_int_int > set_int ).

tff(func_def_110,type,
    basic_fsts_nat_nat: product_prod_nat_nat > set_nat ).

tff(func_def_111,type,
    basic_7389551980550046121et_nat: produc6108883039684432031et_nat > set_fu6080891106736489294t_bool ).

tff(func_def_112,type,
    basic_464196861795839302et_nat: produc1542783094787327164et_nat > set_fu6080891106736489294t_bool ).

tff(func_def_113,type,
    basic_2698842327037663054et_nat: produc3658429121746597890et_nat > set_set_nat ).

tff(func_def_114,type,
    basic_snds_int_int: product_prod_int_int > set_int ).

tff(func_def_115,type,
    basic_snds_nat_nat: product_prod_nat_nat > set_nat ).

tff(func_def_116,type,
    basic_2707414206477141227et_nat: produc6108883039684432031et_nat > set_Pr3948176798113811640et_nat ).

tff(func_def_117,type,
    basic_1319471122885221000et_nat: produc1542783094787327164et_nat > set_Pr1106803562331729365et_nat ).

tff(func_def_118,type,
    binomial: nat > fun_nat_nat ).

tff(func_def_119,type,
    gbinom8545251970709558553nteger: code_integer > fun_nat_Code_integer ).

tff(func_def_120,type,
    gbinom7368847122466276068atural: code_natural > fun_nat_Code_natural ).

tff(func_def_121,type,
    gbinomial_int: int > fun_nat_int ).

tff(func_def_122,type,
    gbinomial_nat: nat > fun_nat_nat ).

tff(func_def_123,type,
    gbinomial_rat: rat > fun_nat_rat ).

tff(func_def_124,type,
    bit_and_int_rel: fun_Pr3099820731930151597t_bool ).

tff(func_def_125,type,
    bit_concat_bit: ( nat * int ) > fun_int_int ).

tff(func_def_126,type,
    bit_ri7919022796975470100ot_int: fun_int_int ).

tff(func_def_127,type,
    bit_ri631733984087533419it_int: nat > fun_int_int ).

tff(func_def_128,type,
    bit_se725231765392027082nd_int: int > fun_int_int ).

tff(func_def_129,type,
    bit_se727722235901077358nd_nat: nat > fun_nat_nat ).

tff(func_def_130,type,
    bit_se1409905431419307370or_int: int > fun_int_int ).

tff(func_def_131,type,
    bit_se1412395901928357646or_nat: nat > fun_nat_nat ).

tff(func_def_132,type,
    bit_se545348938243370406it_int: nat > fun_int_int ).

tff(func_def_133,type,
    bit_se547839408752420682it_nat: nat > fun_nat_nat ).

tff(func_def_134,type,
    bit_se7879613467334960850it_int: nat > fun_int_int ).

tff(func_def_135,type,
    bit_se2923211474154528505it_int: nat > fun_int_int ).

tff(func_def_136,type,
    bit_se4203085406695923979it_int: nat > fun_int_int ).

tff(func_def_137,type,
    bit_se6526347334894502574or_int: int > fun_int_int ).

tff(func_def_138,type,
    bit_se6528837805403552850or_nat: nat > fun_nat_nat ).

tff(func_def_139,type,
    bit_se1146084159140164899it_int: int > fun_nat_bool ).

tff(func_def_140,type,
    code_Neg: num > code_integer ).

tff(func_def_141,type,
    code_Pos: num > code_integer ).

tff(func_def_142,type,
    code_divmod_abs: code_integer > fun_Co6597186368970283863nteger ).

tff(func_def_143,type,
    code_divmod_integer: code_integer > fun_Co6597186368970283863nteger ).

tff(func_def_144,type,
    code_int_of_integer: fun_Code_integer_int ).

tff(func_def_145,type,
    code_integer_of_int: fun_int_Code_integer ).

tff(func_def_146,type,
    code_nat_of_integer: fun_Code_integer_nat ).

tff(func_def_147,type,
    code_nat_of_natural: fun_Code_natural_nat ).

tff(func_def_148,type,
    code_natural_of_nat: fun_nat_Code_natural ).

tff(func_def_149,type,
    code_pcr_integer: fun_in5519481650651148416r_bool ).

tff(func_def_150,type,
    code_pcr_natural: fun_na7327111457444404817l_bool ).

tff(func_def_151,type,
    comple6612786467464916249er_nat: set_filter_nat > filter_nat ).

tff(func_def_152,type,
    comple6558733285304839070f_bool: fun_set_bool_bool ).

tff(func_def_153,type,
    complete_Inf_Inf_int: set_int > int ).

tff(func_def_154,type,
    complete_Inf_Inf_nat: fun_set_nat_nat ).

tff(func_def_155,type,
    comple2584293577114468500t_unit: set_Product_unit > product_unit ).

tff(func_def_156,type,
    comple8056903371235693182t_bool: set_set_bool > set_bool ).

tff(func_def_157,type,
    comple3628384868704368283et_int: set_set_int > set_int ).

tff(func_def_158,type,
    comple7806235888213564991et_nat: set_set_nat > set_nat ).

tff(func_def_159,type,
    comple1930127330929219688at_nat: set_se7855581050983116737at_nat > set_Pr1261947904930325089at_nat ).

tff(func_def_160,type,
    comple7216939928495492468t_unit: set_set_Product_unit > set_Product_unit ).

tff(func_def_161,type,
    comple3719687673274381013t_bool: set_se2501078297044592302t_bool > set_fu6080891106736489294t_bool ).

tff(func_def_162,type,
    comple2206143112900078780l_bool: set_fun_bool_bool > fun_bool_bool ).

tff(func_def_163,type,
    comple1872806702321077195t_bool: set_fun_int_bool > fun_int_bool ).

tff(func_def_164,type,
    comple4997097668789701415t_bool: set_fun_nat_bool > fun_nat_bool ).

tff(func_def_165,type,
    comple2337164222071170933t_bool: set_fu6080891106736489294t_bool > fun_Pr6001797050664311790t_bool ).

tff(func_def_166,type,
    comple4169068024981933638t_bool: set_fu6339532538019888579t_bool > fun_Pr1572506220757514509t_bool ).

tff(func_def_167,type,
    comple1832259443211035301l_bool: set_fu7884337747459999906l_bool > fun_fu9160419385450930796l_bool ).

tff(func_def_168,type,
    comple2454491259644266675er_nat: set_filter_nat > filter_nat ).

tff(func_def_169,type,
    comple6445916836919887748p_bool: fun_set_bool_bool ).

tff(func_def_170,type,
    complete_Sup_Sup_int: set_int > int ).

tff(func_def_171,type,
    complete_Sup_Sup_nat: fun_set_nat_nat ).

tff(func_def_172,type,
    comple4687483117567863418t_unit: set_Product_unit > product_unit ).

tff(func_def_173,type,
    comple739944243200306918nteger: set_set_Code_integer > set_Code_integer ).

tff(func_def_174,type,
    comple9167723193526752868t_bool: set_set_bool > set_bool ).

tff(func_def_175,type,
    comple3221217463730067765et_int: set_set_int > set_int ).

tff(func_def_176,type,
    comple7399068483239264473et_nat: set_set_nat > set_nat ).

tff(func_def_177,type,
    comple6966417755762648372l_bool: set_se3685025362742366375l_bool > set_Pr8621012493645324487l_bool ).

tff(func_def_178,type,
    comple5382143125604098054nt_int: set_se6260736226359567993nt_int > set_Pr958786334691620121nt_int ).

tff(func_def_179,type,
    comple5685304695842803022at_nat: set_se7855581050983116737at_nat > set_Pr1261947904930325089at_nat ).

tff(func_def_180,type,
    comple2798140142350441396t_unit: set_se8994758365886191399t_unit > set_Pr5094982260447487303t_unit ).

tff(func_def_181,type,
    comple5174474475573590900t_bool: set_se2897448282425263847t_bool > set_Pr2055239900342597383t_bool ).

tff(func_def_182,type,
    comple3349607820504768346t_unit: set_set_Product_unit > set_Product_unit ).

tff(func_def_183,type,
    comple135688305524438715t_bool: set_se2501078297044592302t_bool > set_fu6080891106736489294t_bool ).

tff(func_def_184,type,
    comple4887380737435610710l_bool: set_fun_bool_bool > fun_bool_bool ).

tff(func_def_185,type,
    comple5949612041521808305t_bool: set_fun_int_bool > fun_int_bool ).

tff(func_def_186,type,
    comple9073903007990432525t_bool: set_fun_nat_bool > fun_nat_bool ).

tff(func_def_187,type,
    comple8045181406993367899t_bool: set_fu6080891106736489294t_bool > fun_Pr6001797050664311790t_bool ).

tff(func_def_188,type,
    comple9178284036673864160t_bool: set_fu6339532538019888579t_bool > fun_Pr1572506220757514509t_bool ).

tff(func_def_189,type,
    comple8378671834856547391l_bool: set_fu7884337747459999906l_bool > fun_fu9160419385450930796l_bool ).

tff(func_def_190,type,
    condit1043218704046651003e_bool: fun_set_bool_bool ).

tff(func_def_191,type,
    condit2212336002400062152ve_int: fun_set_int_bool ).

tff(func_def_192,type,
    condit2214826472909112428ve_nat: fun_set_nat_bool ).

tff(func_def_193,type,
    condit2080475194861589617t_unit: fun_se407542756755239981t_bool ).

tff(func_def_194,type,
    condit1103324680239747666t_bool: fun_se7275083947436752652l_bool ).

tff(func_def_195,type,
    condit2088896940045855335w_bool: fun_set_bool_bool ).

tff(func_def_196,type,
    condit1735850657277959132ow_int: fun_set_int_bool ).

tff(func_def_197,type,
    condit1738341127787009408ow_nat: fun_set_nat_bool ).

tff(func_def_198,type,
    condit9161856309968323677t_unit: fun_se407542756755239981t_bool ).

tff(func_def_199,type,
    condit1241549843210831422t_bool: fun_se7275083947436752652l_bool ).

tff(func_def_200,type,
    eucl_rel_int: ( int * int ) > fun_Pr803113274115125473t_bool ).

tff(func_def_201,type,
    unique6319869463603278526ux_int: fun_Pr803113274115125473t_bool ).

tff(func_def_202,type,
    unique6322359934112328802ux_nat: fun_Pr7757163693017731481t_bool ).

tff(func_def_203,type,
    unique4921790084139445826nteger: ( num * produc8923325533196201883nteger ) > produc8923325533196201883nteger ).

tff(func_def_204,type,
    unique5024387138958732305ep_int: ( num * product_prod_int_int ) > product_prod_int_int ).

tff(func_def_205,type,
    unique5026877609467782581ep_nat: ( num * product_prod_nat_nat ) > product_prod_nat_nat ).

tff(func_def_206,type,
    equiv_proj_bool_bool: set_Pr8621012493645324487l_bool > fun_bool_set_bool ).

tff(func_def_207,type,
    equiv_proj_int_int: set_Pr958786334691620121nt_int > fun_int_set_int ).

tff(func_def_208,type,
    equiv_proj_nat_nat: set_Pr1261947904930325089at_nat > fun_nat_set_nat ).

tff(func_def_209,type,
    equiv_5763582929720877514t_unit: set_Pr5094982260447487303t_unit > fun_Pr3013102738158121955t_unit ).

tff(func_def_210,type,
    equiv_3420445574783579658t_bool: ( set_Pr2055239900342597383t_bool * fun_Pr6001797050664311790t_bool ) > set_fu6080891106736489294t_bool ).

tff(func_def_211,type,
    equiv_quotient_bool: ( set_bool * set_Pr8621012493645324487l_bool ) > set_set_bool ).

tff(func_def_212,type,
    equiv_quotient_int: ( set_int * set_Pr958786334691620121nt_int ) > set_set_int ).

tff(func_def_213,type,
    equiv_quotient_nat: ( set_nat * set_Pr1261947904930325089at_nat ) > set_set_nat ).

tff(func_def_214,type,
    equiv_5172566880711946708t_unit: ( set_Product_unit * set_Pr5094982260447487303t_unit ) > set_set_Product_unit ).

tff(func_def_215,type,
    equiv_2638475581143881909t_bool: ( set_fu6080891106736489294t_bool * set_Pr2055239900342597383t_bool ) > set_se2501078297044592302t_bool ).

tff(func_def_216,type,
    comm_s8582702949713902594nteger: code_integer > fun_nat_Code_integer ).

tff(func_def_217,type,
    comm_s4660882817536571857er_int: int > fun_nat_int ).

tff(func_def_218,type,
    comm_s4028243227959126397er_rat: rat > fun_nat_rat ).

tff(func_def_219,type,
    semiri1408675320244567234ct_nat: fun_nat_nat ).

tff(func_def_220,type,
    inverse_inverse_rat: fun_rat_rat ).

tff(func_def_221,type,
    at_top_nat: filter_nat ).

tff(func_def_222,type,
    cofinite_nat: filter_nat ).

tff(func_def_223,type,
    finite3254316476582989077op_nat: set_nat > filter_set_nat ).

tff(func_def_224,type,
    prod_filter_nat_nat: ( filter_nat * filter_nat ) > filter1242075044329608583at_nat ).

tff(func_def_225,type,
    finite4902975817058060853nteger: set_Code_integer > nat ).

tff(func_def_226,type,
    finite_card_bool: set_bool > nat ).

tff(func_def_227,type,
    finite_card_int: set_int > nat ).

tff(func_def_228,type,
    finite_card_nat: fun_set_nat_nat ).

tff(func_def_229,type,
    finite410649719033368117t_unit: set_Product_unit > nat ).

tff(func_def_230,type,
    finite1340570857867686763nteger: set_set_Code_integer > nat ).

tff(func_def_231,type,
    finite_card_set_bool: set_set_bool > nat ).

tff(func_def_232,type,
    finite_card_set_int: set_set_int > nat ).

tff(func_def_233,type,
    finite_card_set_nat: set_set_nat > nat ).

tff(func_def_234,type,
    finite22775419188893461t_unit: set_set_Product_unit > nat ).

tff(func_def_235,type,
    finite5098741268891803510t_bool: set_se2501078297044592302t_bool > nat ).

tff(func_def_236,type,
    finite6349420471798814742t_bool: set_fu6080891106736489294t_bool > nat ).

tff(func_def_237,type,
    finite6017078050557962740nteger: fun_se2712834123562403997r_bool ).

tff(func_def_238,type,
    finite_finite_bool: fun_set_bool_bool ).

tff(func_def_239,type,
    finite_finite_int: fun_set_int_bool ).

tff(func_def_240,type,
    finite_finite_nat: fun_set_nat_bool ).

tff(func_def_241,type,
    finite4290736615968046902t_unit: fun_se407542756755239981t_bool ).

tff(func_def_242,type,
    finite_finite_rat: fun_set_rat_bool ).

tff(func_def_243,type,
    finite311307786053585943t_bool: fun_se7275083947436752652l_bool ).

tff(func_def_244,type,
    finite1440822074540989594n_assn: ( fun_as3983628580203722482n_assn * assn * set_assn ) > assn ).

tff(func_def_245,type,
    finite6454954857057555716nteger: ( fun_Co1981900195452921617nteger * code_integer * set_Code_integer ) > code_integer ).

tff(func_def_246,type,
    finite2281032298429728806t_unit: ( fun_Co8104335112430297437t_unit * product_unit * set_Code_integer ) > product_unit ).

tff(func_def_247,type,
    finite7486036041278456378nteger: ( fun_Co1555053522382583933nteger * set_Code_integer * set_Code_integer ) > set_Code_integer ).

tff(func_def_248,type,
    finite5897382891358996496t_bool: ( fun_Co6135463642965612765t_bool * set_bool * set_Code_integer ) > set_bool ).

tff(func_def_249,type,
    finite6635835719294221449et_int: ( fun_Co8916118683150202523et_int * set_int * set_Code_integer ) > set_int ).

tff(func_def_250,type,
    finite1590314701948642349et_nat: ( fun_Co2658217733684604899et_nat * set_nat * set_Code_integer ) > set_nat ).

tff(func_def_251,type,
    finite3687622995246107910t_unit: ( fun_Co7614951723420848477t_unit * set_Product_unit * set_Code_integer ) > set_Product_unit ).

tff(func_def_252,type,
    finite3656014656693539976l_bool: ( fun_bo1841576699660343469l_bool * bool ) > fun_set_bool_bool ).

tff(func_def_253,type,
    finite3373824251209765736t_bool: ( fun_bo2177052459101130925t_bool * set_bool * set_bool ) > set_bool ).

tff(func_def_254,type,
    finite_fold_int_int: ( fun_int_fun_int_int * int * set_int ) > int ).

tff(func_def_255,type,
    finite1723285575846220376et_int: ( fun_in3946961816151909994et_int * set_int * set_int ) > set_int ).

tff(func_def_256,type,
    finite_fold_nat_nat: ( fun_nat_fun_nat_nat * nat ) > fun_set_nat_nat ).

tff(func_def_257,type,
    finite6602901031542678131t_unit: ( fun_na4027882378538671952t_unit * product_unit * set_nat ) > product_unit ).

tff(func_def_258,type,
    finite186513945349748061t_bool: ( fun_na1053657639205449936t_bool * set_bool * set_nat ) > set_bool ).

tff(func_def_259,type,
    finite1351632015609375740et_int: ( fun_na4789234391487436814et_int * set_int * set_nat ) > set_int ).

tff(func_def_260,type,
    finite5529483035118572448et_nat: ( fun_na7754705478876614998et_nat * set_nat ) > fun_set_nat_set_nat ).

tff(func_def_261,type,
    finite9145781422887121747t_unit: ( fun_na572088516609390416t_unit * set_Product_unit * set_nat ) > set_Product_unit ).

tff(func_def_262,type,
    finite8834431295148555784t_unit: ( fun_Pr3553901264588531491t_unit * product_unit * set_Product_unit ) > product_unit ).

tff(func_def_263,type,
    finite2740360166580943592t_unit: ( fun_Pr7732015048784455459t_unit * set_Product_unit * set_Product_unit ) > set_Product_unit ).

tff(func_def_264,type,
    finite1372036876905702536t_bool: ( fun_se3394281818192328589t_bool * set_bool * set_set_bool ) > set_bool ).

tff(func_def_265,type,
    finite2508883933289561102et_int: ( fun_se6573205548028396576et_int * set_int * set_set_int ) > set_int ).

tff(func_def_266,type,
    finite677925301803182934et_nat: ( fun_se1909708154429037836et_nat * set_nat * set_set_nat ) > set_nat ).

tff(func_def_267,type,
    finite4243028863286625800t_unit: ( fun_se2593093895363294211t_unit * set_Product_unit * set_set_Product_unit ) > set_Product_unit ).

tff(func_def_268,type,
    finite1062215984955642440t_bool: ( fun_se2730912884141707428t_bool * set_fu6080891106736489294t_bool * set_se2501078297044592302t_bool ) > set_fu6080891106736489294t_bool ).

tff(func_def_269,type,
    comp_C3026223900822616519nteger: ( fun_Co4490034186337852034r_assn * fun_Co8499238673658658103nteger ) > fun_Co4490034186337852034r_assn ).

tff(func_def_270,type,
    comp_C8462447471145125178sn_nat: ( fun_Co4490034186337852034r_assn * fun_nat_Code_integer ) > fun_nat_assn ).

tff(func_def_271,type,
    comp_C7449957260575251196nteger: ( fun_Co8499238673658658103nteger * fun_Co8499238673658658103nteger ) > fun_Co8499238673658658103nteger ).

tff(func_def_272,type,
    comp_C6273552412331968711atural: ( fun_Co8499238673658658103nteger * fun_Co2940338738630218498nteger ) > fun_Co2940338738630218498nteger ).

tff(func_def_273,type,
    comp_C6974050283906349679er_nat: ( fun_Co8499238673658658103nteger * fun_nat_Code_integer ) > fun_nat_Code_integer ).

tff(func_def_274,type,
    comp_C1043215000170864188nteger: ( fun_Co8499238673658658103nteger * fun_Pr6596356882939945227nteger ) > fun_Pr6596356882939945227nteger ).

tff(func_def_275,type,
    comp_C2290379119555921966t_unit: ( fun_Co8499238673658658103nteger * fun_Pr1820225556744648189nteger ) > fun_Pr1820225556744648189nteger ).

tff(func_def_276,type,
    comp_C1891057325546811591nteger: ( fun_Co3734316457315071362atural * fun_Co8499238673658658103nteger ) > fun_Co3734316457315071362atural ).

tff(func_def_277,type,
    comp_C714652477303529106atural: ( fun_Co3734316457315071362atural * fun_Co2940338738630218498nteger ) > fun_Co7398788559141407565atural ).

tff(func_def_278,type,
    comp_C4153580447849560611t_unit: ( fun_Co3734316457315071362atural * fun_Pr1820225556744648189nteger ) > fun_Pr6278675377255837256atural ).

tff(func_def_279,type,
    comp_C7610259292922237131nteger: ( fun_Code_integer_int * fun_Co8499238673658658103nteger ) > fun_Code_integer_int ).

tff(func_def_280,type,
    comp_C5048910307564104766nt_nat: ( fun_Code_integer_int * fun_nat_Code_integer ) > fun_nat_int ).

tff(func_def_281,type,
    comp_C7238605732685392495nteger: ( fun_Code_integer_nat * fun_Co8499238673658658103nteger ) > fun_Code_integer_nat ).

tff(func_def_282,type,
    comp_C8146212659816229034nteger: ( fun_Co1365676809456677961t_unit * fun_Co8499238673658658103nteger ) > fun_Co1365676809456677961t_unit ).

tff(func_def_283,type,
    comp_C6969807811572946549atural: ( fun_Co1365676809456677961t_unit * fun_Co2940338738630218498nteger ) > fun_Co3228878137750316606t_unit ).

tff(func_def_284,type,
    comp_C2408090164605745152t_unit: ( fun_Co1365676809456677961t_unit * fun_Pr1820225556744648189nteger ) > fun_Pr2191293291710260995t_unit ).

tff(func_def_285,type,
    comp_C8186931911283765298nteger: ( fun_Co744628173305925485nteger * fun_Co8499238673658658103nteger ) > fun_Co744628173305925485nteger ).

tff(func_def_286,type,
    comp_C8996093786508476632nteger: ( fun_Co744628173305925485nteger * fun_fu9117715662874197469nteger ) > fun_fu3310558948973754387nteger ).

tff(func_def_287,type,
    comp_C6537567860429791781nteger: ( fun_Co8307959106670069728et_nat * fun_Co8499238673658658103nteger ) > fun_Co8307959106670069728et_nat ).

tff(func_def_288,type,
    comp_C958128367788360779nteger: ( fun_Co8307959106670069728et_nat * fun_fu9117715662874197469nteger ) > fun_fu8926436095885609094et_nat ).

tff(func_def_289,type,
    comp_C7233611567195229654nteger: ( fun_Co1981900195452921617nteger * fun_Co8499238673658658103nteger ) > fun_Co1981900195452921617nteger ).

tff(func_def_290,type,
    comp_C7848664941760151970nteger: ( fun_Co1561183069634336733nteger * fun_Co8499238673658658103nteger ) > fun_Co1561183069634336733nteger ).

tff(func_def_291,type,
    comp_C866272080612944914r_bool: ( fun_Co1561183069634336733nteger * fun_bo7282069421189217543nteger ) > fun_bo1105078601566322605nteger ).

tff(func_def_292,type,
    comp_C5591429025389854577er_int: ( fun_Co1561183069634336733nteger * fun_int_Code_integer ) > fun_in8262288108676414764nteger ).

tff(func_def_293,type,
    comp_C5593919495898904853er_nat: ( fun_Co1561183069634336733nteger * fun_nat_Code_integer ) > fun_na7028214812545403088nteger ).

tff(func_def_294,type,
    comp_C5159084050497807624t_unit: ( fun_Co1561183069634336733nteger * fun_Pr1820225556744648189nteger ) > fun_Pr3800342156844704675nteger ).

tff(func_def_295,type,
    comp_C7827331287018003580nteger: ( fun_Co1561183069634336733nteger * fun_fu5689865433563736081nteger ) > fun_fu4800041728187187127nteger ).

tff(func_def_296,type,
    comp_C7951028950906698989nteger: ( fun_Co6653309639117302568nteger * fun_Co3734316457315071362atural ) > fun_Co1561183069634336733nteger ).

tff(func_def_297,type,
    comp_b2870732040637183536nteger: ( fun_bo7282069421189217543nteger * fun_Co8822979462182099027r_bool ) > fun_Co8499238673658658103nteger ).

tff(func_def_298,type,
    comp_b1990690467673638394t_unit: ( fun_bo7282069421189217543nteger * fun_Pr1572506220757514509t_bool ) > fun_Pr1820225556744648189nteger ).

tff(func_def_299,type,
    comp_b3853891795967277039t_unit: ( fun_bo2517147204845630802atural * fun_Pr1572506220757514509t_bool ) > fun_Pr6278675377255837256atural ).

tff(func_def_300,type,
    comp_bool_int_int: ( fun_bool_int * fun_int_bool ) > fun_int_int ).

tff(func_def_301,type,
    comp_b7846524007933945462nteger: ( fun_bo1891391082718140537t_unit * fun_Co8822979462182099027r_bool ) > fun_Co1365676809456677961t_unit ).

tff(func_def_302,type,
    comp_b141213512760077374t_bool: ( fun_bo1891391082718140537t_unit * fun_bool_bool ) > fun_bo1891391082718140537t_unit ).

tff(func_def_303,type,
    comp_b4963347378608682053it_int: ( fun_bo1891391082718140537t_unit * fun_int_bool ) > fun_int_Product_unit ).

tff(func_def_304,type,
    comp_b4965837849117732329it_nat: ( fun_bo1891391082718140537t_unit * fun_nat_bool ) > fun_nat_Product_unit ).

tff(func_def_305,type,
    comp_b4073241910460408116t_unit: ( fun_bo1891391082718140537t_unit * fun_Pr1572506220757514509t_bool ) > fun_Pr2191293291710260995t_unit ).

tff(func_def_306,type,
    comp_b3191719550493064038nteger: ( fun_bo8700639080905871165nteger * fun_Co8822979462182099027r_bool ) > fun_Co744628173305925485nteger ).

tff(func_def_307,type,
    comp_b2885355100485781004nteger: ( fun_bo8700639080905871165nteger * fun_fu5845048363982186797r_bool ) > fun_fu3310558948973754387nteger ).

tff(func_def_308,type,
    comp_b1028416645612377034t_unit: ( fun_bool_set_bool * fun_Pr1572506220757514509t_bool ) > fun_Pr6388117812002676717t_bool ).

tff(func_def_309,type,
    comp_b2732104029349986997t_unit: ( fun_bool_set_int * fun_Pr1572506220757514509t_bool ) > fun_Pr8362234881679108866et_int ).

tff(func_def_310,type,
    comp_b1958342640491724121nteger: ( fun_bool_set_nat * fun_Co8822979462182099027r_bool ) > fun_Co8307959106670069728et_nat ).

tff(func_def_311,type,
    comp_b1177317833872916497t_unit: ( fun_bool_set_nat * fun_Pr1572506220757514509t_bool ) > fun_Pr1628945989756059814et_nat ).

tff(func_def_312,type,
    comp_b5298823642173413759nteger: ( fun_bool_set_nat * fun_fu5845048363982186797r_bool ) > fun_fu8926436095885609094et_nat ).

tff(func_def_313,type,
    comp_b5806770846499437652t_unit: ( fun_bo8182086032597355865t_unit * fun_Pr1572506220757514509t_bool ) > fun_Pr3013102738158121955t_unit ).

tff(func_def_314,type,
    comp_b2965988179290429142nteger: ( fun_bo1105078601566322605nteger * fun_Co8822979462182099027r_bool ) > fun_Co1561183069634336733nteger ).

tff(func_def_315,type,
    comp_b3110412776575510740t_unit: ( fun_bo1105078601566322605nteger * fun_Pr1572506220757514509t_bool ) > fun_Pr3800342156844704675nteger ).

tff(func_def_316,type,
    comp_i6014793192326455499nteger: ( fun_int_Code_integer * fun_Code_integer_int ) > fun_Co8499238673658658103nteger ).

tff(func_def_317,type,
    comp_i4488287712922907433r_bool: ( fun_int_Code_integer * fun_bool_int ) > fun_bo7282069421189217543nteger ).

tff(func_def_318,type,
    comp_i1585864551200866970er_int: ( fun_int_Code_integer * fun_int_int ) > fun_int_Code_integer ).

tff(func_def_319,type,
    comp_i1588355021709917246er_nat: ( fun_int_Code_integer * fun_nat_int ) > fun_nat_Code_integer ).

tff(func_def_320,type,
    comp_i455893257298015894nteger: ( fun_int_Code_natural * fun_Code_integer_int ) > fun_Co3734316457315071362atural ).

tff(func_def_321,type,
    comp_int_bool_bool: ( fun_int_bool * fun_bool_int ) > fun_bool_bool ).

tff(func_def_322,type,
    comp_int_bool_int: ( fun_int_bool * fun_int_int ) > fun_int_bool ).

tff(func_def_323,type,
    comp_int_bool_nat: ( fun_int_bool * fun_nat_int ) > fun_nat_bool ).

tff(func_def_324,type,
    comp_int_int_bool: ( fun_int_int * fun_bool_int ) > fun_bool_int ).

tff(func_def_325,type,
    comp_int_int_int: ( fun_int_int * fun_int_int ) > fun_int_int ).

tff(func_def_326,type,
    comp_int_int_nat: ( fun_int_int * fun_nat_int ) > fun_nat_int ).

tff(func_def_327,type,
    comp_i4330622015127193916nt_int: ( fun_int_int * fun_Pr982841511892225912nt_int ) > fun_Pr982841511892225912nt_int ).

tff(func_def_328,type,
    comp_int_nat_bool: ( fun_int_nat * fun_bool_int ) > fun_bool_nat ).

tff(func_def_329,type,
    comp_int_nat_int: ( fun_int_nat * fun_int_int ) > fun_int_nat ).

tff(func_def_330,type,
    comp_int_nat_nat: ( fun_int_nat * fun_nat_int ) > fun_nat_nat ).

tff(func_def_331,type,
    comp_i8439899303502915483nteger: ( fun_int_Product_unit * fun_Code_integer_int ) > fun_Co1365676809456677961t_unit ).

tff(func_def_332,type,
    comp_i7977403647620219013nteger: ( fun_int_set_bool * fun_Code_integer_int ) > fun_Co5127707541723817779t_bool ).

tff(func_def_333,type,
    comp_i1887841406321795152nteger: ( fun_int_set_int * fun_Code_integer_int ) > fun_Co5817875961738342972et_int ).

tff(func_def_334,type,
    comp_i5103216804979976198nt_int: ( fun_int_set_int * fun_Pr982841511892225912nt_int * product_prod_int_int ) > set_int ).

tff(func_def_335,type,
    comp_i5102403792180996084nteger: ( fun_int_set_nat * fun_Code_integer_int ) > fun_Co8307959106670069728et_nat ).

tff(func_def_336,type,
    comp_i6200299785623974754nt_int: ( fun_int_set_nat * fun_Pr982841511892225912nt_int ) > fun_Pr3513738403344720850et_nat ).

tff(func_def_337,type,
    comp_i3319814986458681467nteger: ( fun_in4731230917697954842t_unit * fun_Code_integer_int ) > fun_Co7675133579868055849t_unit ).

tff(func_def_338,type,
    comp_i6210154785576167153nteger: ( fun_in8262288108676414764nteger * fun_Code_integer_int ) > fun_Co1561183069634336733nteger ).

tff(func_def_339,type,
    comp_nat_assn_nat: ( fun_nat_assn * fun_nat_nat ) > fun_nat_assn ).

tff(func_def_340,type,
    comp_n6876073255676942959nteger: ( fun_nat_Code_integer * fun_Code_integer_nat ) > fun_Co8499238673658658103nteger ).

tff(func_def_341,type,
    comp_n5699668407433660474atural: ( fun_nat_Code_integer * fun_Code_natural_nat ) > fun_Co2940338738630218498nteger ).

tff(func_def_342,type,
    comp_n3898172953802868194er_nat: ( fun_nat_Code_integer * fun_nat_nat ) > fun_nat_Code_integer ).

tff(func_def_343,type,
    comp_n1317173320648503354nteger: ( fun_nat_Code_natural * fun_Code_integer_nat ) > fun_Co3734316457315071362atural ).

tff(func_def_344,type,
    comp_n140768472405220869atural: ( fun_nat_Code_natural * fun_Code_natural_nat ) > fun_Co7398788559141407565atural ).

tff(func_def_345,type,
    comp_n3031345697422574458l_bool: ( fun_nat_Code_natural * fun_bool_nat ) > fun_bo2517147204845630802atural ).

tff(func_def_346,type,
    comp_n9160511493981425161al_int: ( fun_nat_Code_natural * fun_int_nat ) > fun_int_Code_natural ).

tff(func_def_347,type,
    comp_n9163001964490475437al_nat: ( fun_nat_Code_natural * fun_nat_nat ) > fun_nat_Code_natural ).

tff(func_def_348,type,
    comp_nat_int_nat: ( fun_nat_int * fun_nat_nat ) > fun_nat_int ).

tff(func_def_349,type,
    comp_n8360577435903631554atural: ( fun_nat_Product_unit * fun_Code_natural_nat ) > fun_Co3228878137750316606t_unit ).

tff(func_def_350,type,
    comp_n1572716621429000127atural: ( fun_nat_set_int * fun_Code_natural_nat * code_natural ) > set_int ).

tff(func_def_351,type,
    comp_n5963683855531483544nteger: ( fun_nat_set_nat * fun_Code_integer_nat ) > fun_Co8307959106670069728et_nat ).

tff(func_def_352,type,
    comp_n4787279007288201059atural: ( fun_nat_set_nat * fun_Code_natural_nat * code_natural ) > set_nat ).

tff(func_def_353,type,
    comp_n2709255890054698302nteger: ( fun_nat_set_nat * fun_fu7638885401485650896er_nat ) > fun_fu8926436095885609094et_nat ).

tff(func_def_354,type,
    comp_n7084669201029016610at_nat: ( fun_nat_fun_nat_nat * fun_nat_nat ) > fun_nat_fun_nat_nat ).

tff(func_def_355,type,
    comp_n376420427171713685nteger: ( fun_na7028214812545403088nteger * fun_Code_integer_nat ) > fun_Co1561183069634336733nteger ).

tff(func_def_356,type,
    comp_n8423387615783207008atural: ( fun_na7028214812545403088nteger * fun_Code_natural_nat ) > fun_Co6653309639117302568nteger ).

tff(func_def_357,type,
    comp_P7111796090210262324nteger: ( fun_Pr6596356882939945227nteger * fun_Co6597186368970283863nteger ) > fun_Co8499238673658658103nteger ).

tff(func_def_358,type,
    comp_P3428181540658402820nteger: ( fun_Pr6596356882939945227nteger * fun_Pr5876161306168176259nteger ) > fun_Pr6596356882939945227nteger ).

tff(func_def_359,type,
    comp_P659088277599099894t_unit: ( fun_Pr6596356882939945227nteger * fun_Pr864343514034809617nteger ) > fun_Pr1820225556744648189nteger ).

tff(func_def_360,type,
    comp_P2623459279333308012nteger: ( fun_Pr3001699213897242575nteger * fun_Pr5876161306168176259nteger ) > fun_Pr3001699213897242575nteger ).

tff(func_def_361,type,
    comp_P7101464685127059239nteger: ( fun_Pr5940403383236205310nteger * fun_Co9221593637010378er_nat ) > fun_Co8499238673658658103nteger ).

tff(func_def_362,type,
    comp_P7581484221039074243t_unit: ( fun_Pr5940403383236205310nteger * fun_Pr4463473013420618628er_nat ) > fun_Pr1820225556744648189nteger ).

tff(func_def_363,type,
    comp_P5964733648194011802nteger: ( fun_Pr1791375292569619697at_nat * fun_Co9221593637010378er_nat ) > fun_Code_integer_nat ).

tff(func_def_364,type,
    comp_P6821003776282389008t_unit: ( fun_Pr1791375292569619697at_nat * fun_Pr4463473013420618628er_nat ) > fun_Product_unit_nat ).

tff(func_def_365,type,
    comp_P7479062676170010950nteger: ( fun_Pr8555020547098233205nteger * fun_Pr4857721227833164125nteger ) > fun_Pr3001699213897242575nteger ).

tff(func_def_366,type,
    comp_P2930521774885306735et_nat: ( fun_Pr3337834798857116037et_nat * fun_Pr7091840695141096449et_nat ) > fun_Pr3337834798857116037et_nat ).

tff(func_def_367,type,
    comp_P8606889026643445772nt_int: ( fun_Pr3337834798857116037et_nat * fun_Pr2304087830868576334et_nat ) > fun_Pr3513738403344720850et_nat ).

tff(func_def_368,type,
    comp_P8308861049717174982et_nat: ( fun_Pr982841511892225912nt_int * fun_Pr5141187847748131984nt_int ) > fun_Pr2352106219870523691at_int ).

tff(func_def_369,type,
    comp_P5356232565778667509nt_int: ( fun_Pr982841511892225912nt_int * fun_Pr2478283820680522243nt_int ) > fun_Pr982841511892225912nt_int ).

tff(func_def_370,type,
    comp_P6796073005956588617t_unit: ( fun_Pr982841511892225912nt_int * fun_Pr6733608168372577327nt_int ) > fun_Product_unit_int ).

tff(func_def_371,type,
    comp_P6122662217367900327nteger: ( fun_Pr4523587930069869694nteger * fun_Co2652536811680367946nteger ) > fun_Co8499238673658658103nteger ).

tff(func_def_372,type,
    comp_P1519872559280998989r_bool: ( fun_Pr4523587930069869694nteger * fun_bo430240058039468410nteger ) > fun_bo7282069421189217543nteger ).

tff(func_def_373,type,
    comp_P7320554561093743171t_unit: ( fun_Pr4523587930069869694nteger * fun_Pr7106788231463976196nteger ) > fun_Pr1820225556744648189nteger ).

tff(func_def_374,type,
    comp_P5725896914063526938nteger: ( fun_Pr7395487658768111217er_nat * fun_Co2652536811680367946nteger ) > fun_Code_integer_nat ).

tff(func_def_375,type,
    comp_P4468378775876050842t_bool: ( fun_Pr7395487658768111217er_nat * fun_bo430240058039468410nteger ) > fun_bool_nat ).

tff(func_def_376,type,
    comp_P7621350044865347728t_unit: ( fun_Pr7395487658768111217er_nat * fun_Pr7106788231463976196nteger ) > fun_Product_unit_nat ).

tff(func_def_377,type,
    comp_P4613715077026352743t_bool: ( fun_Pr2602117396471556196at_nat * fun_bo8023800293961592301at_nat ) > fun_bool_nat ).

tff(func_def_378,type,
    comp_P2980510830910040157t_unit: ( fun_Pr2602117396471556196at_nat * fun_Pr7036769738611282295at_nat ) > fun_Product_unit_nat ).

tff(func_def_379,type,
    comp_P4540793059153670726nteger: ( fun_Pr6127221218041104501nteger * fun_Pr5458885100655985245nteger ) > fun_Pr3001699213897242575nteger ).

tff(func_def_380,type,
    comp_P7572596982727354656nteger: ( fun_Pr7301545579335958043nteger * fun_Pr9027168029485879607nteger ) > fun_Pr3001699213897242575nteger ).

tff(func_def_381,type,
    comp_P6790823133229852966nteger: ( fun_Pr1820225556744648189nteger * fun_Co1365676809456677961t_unit ) > fun_Co8499238673658658103nteger ).

tff(func_def_382,type,
    comp_P4767411901762164316nteger: ( fun_Pr1789781366282006579nteger * fun_Co1365676809456677961t_unit ) > fun_Co744628173305925485nteger ).

tff(func_def_383,type,
    comp_P1748418806231731202nteger: ( fun_Pr1789781366282006579nteger * fun_fu4478038021464438563t_unit ) > fun_fu3310558948973754387nteger ).

tff(func_def_384,type,
    comp_P5878433733084393551nteger: ( fun_Pr1628945989756059814et_nat * fun_Co1365676809456677961t_unit ) > fun_Co8307959106670069728et_nat ).

tff(func_def_385,type,
    comp_P7160832843261671285nteger: ( fun_Pr1628945989756059814et_nat * fun_fu4478038021464438563t_unit ) > fun_fu8926436095885609094et_nat ).

tff(func_def_386,type,
    comp_P4827997380378686668nteger: ( fun_Pr3800342156844704675nteger * fun_Co1365676809456677961t_unit ) > fun_Co1561183069634336733nteger ).

tff(func_def_387,type,
    comp_P5585084804395868748nteger: ( fun_Pr3553901264588531491t_unit * fun_Co1365676809456677961t_unit ) > fun_Co8104335112430297437t_unit ).

tff(func_def_388,type,
    comp_P7295696529757372863it_nat: ( fun_Pr3553901264588531491t_unit * fun_nat_Product_unit ) > fun_na4027882378538671952t_unit ).

tff(func_def_389,type,
    comp_s956550612328592744nteger: ( fun_se1992738044240919715nteger * fun_Co744628173305925485nteger ) > fun_Co744628173305925485nteger ).

tff(func_def_390,type,
    comp_s3084427566167065782nteger: ( fun_se3394281818192328589t_bool * fun_Co5127707541723817779t_bool ) > fun_Co6135463642965612765t_bool ).

tff(func_def_391,type,
    comp_s1873800822379809833ol_nat: ( fun_se3394281818192328589t_bool * fun_nat_set_bool ) > fun_na1053657639205449936t_bool ).

tff(func_def_392,type,
    comp_s4085161575516116965nteger: ( fun_se6573205548028396576et_int * fun_Co5817875961738342972et_int ) > fun_Co8916118683150202523et_int ).

tff(func_def_393,type,
    comp_s2690021802452441944nt_nat: ( fun_se6573205548028396576et_int * fun_nat_set_int ) > fun_na4789234391487436814et_int ).

tff(func_def_394,type,
    comp_s1601710177542341017et_nat: ( fun_set_nat_int * fun_Pr3337834798857116037et_nat ) > fun_Pr2352106219870523691at_int ).

tff(func_def_395,type,
    comp_s8292494440407567195nteger: ( fun_se5369538688796340886nteger * fun_Co8307959106670069728et_nat ) > fun_Co744628173305925485nteger ).

tff(func_def_396,type,
    comp_s4605850120322998606nteger: ( fun_set_nat_set_nat * fun_Co8307959106670069728et_nat ) > fun_Co8307959106670069728et_nat ).

tff(func_def_397,type,
    comp_s5696514601250091763et_nat: ( fun_set_nat_set_nat * fun_Pr3337834798857116037et_nat ) > fun_Pr3337834798857116037et_nat ).

tff(func_def_398,type,
    comp_s9048578035094795473nteger: ( fun_se1909708154429037836et_nat * fun_Co8307959106670069728et_nat ) > fun_Co2658217733684604899et_nat ).

tff(func_def_399,type,
    comp_s5871518449905772612at_nat: ( fun_se1909708154429037836et_nat * fun_nat_set_nat ) > fun_na7754705478876614998et_nat ).

tff(func_def_400,type,
    comp_s8366014661416236844nteger: ( fun_se2593093895363294211t_unit * fun_Co7675133579868055849t_unit ) > fun_Co7614951723420848477t_unit ).

tff(func_def_401,type,
    comp_s10149624282781343it_nat: ( fun_se2593093895363294211t_unit * fun_na896991816813928310t_unit ) > fun_na572088516609390416t_unit ).

tff(func_def_402,type,
    comp_f2642788907534428630nteger: ( fun_fu5689865433563736081nteger * fun_Co1981900195452921617nteger ) > fun_Co8499238673658658103nteger ).

tff(func_def_403,type,
    comp_f6739083541385432444nteger: ( fun_fu4800041728187187127nteger * fun_Co1981900195452921617nteger ) > fun_Co1561183069634336733nteger ).

tff(func_def_404,type,
    comp_f8646512988615909336nteger: ( fun_fu3310558948973754387nteger * fun_Co1561183069634336733nteger ) > fun_Co744628173305925485nteger ).

tff(func_def_405,type,
    comp_f6733788873650792907nteger: ( fun_fu8926436095885609094et_nat * fun_Co1561183069634336733nteger ) > fun_Co8307959106670069728et_nat ).

tff(func_def_406,type,
    comp_f96878100917031437r_assn: ( fun_fu4821026654811345315r_assn * fun_fu727159081937814839r_assn * fun_Co4490034186337852034r_assn ) > fun_se704019859950278126r_assn ).

tff(func_def_407,type,
    comp_f7963283641980994565er_nat: ( fun_fu7716566084524949747er_nat * fun_fu6225000568980017287er_nat * fun_Code_integer_nat ) > fun_se4682100207013029526er_nat ).

tff(func_def_408,type,
    comp_f6545161663025879119l_assn: ( fun_fu4738270438141978787l_assn * fun_fu3065856773340909731l_assn * fun_bool_assn ) > fun_se5532715864020165650l_assn ).

tff(func_def_409,type,
    comp_f4557361681125935863ol_nat: ( fun_fu7012545734135022755ol_nat * fun_fu9149972526633946275ol_nat * fun_bool_nat ) > fun_set_set_bool_nat ).

tff(func_def_410,type,
    comp_f3572868634108735226t_assn: ( fun_fu7925354201654153025t_assn * fun_fu6757290529232567765t_assn * fun_int_assn ) > fun_set_set_int_assn ).

tff(func_def_411,type,
    comp_f854714860224386566nt_int: ( fun_fu2645800954871104329nt_int * fun_fu3260953082973683165nt_int * fun_int_int ) > fun_set_set_int_int ).

tff(func_def_412,type,
    comp_f1986522502478886130nt_nat: ( fun_fu6730287655669069969nt_nat * fun_fu1358573228874515237nt_nat * fun_int_nat ) > fun_set_set_int_nat ).

tff(func_def_413,type,
    comp_f4825699036011179494t_assn: ( fun_fu5180488074244323977t_assn * fun_fu5799692449055808797t_assn * fun_nat_assn ) > fun_set_set_nat_assn ).

tff(func_def_414,type,
    comp_f5269661881483994078at_nat: ( fun_fu5026725344274480089at_nat * fun_fu8205514246900447853at_nat * fun_nat_nat ) > fun_set_set_nat_nat ).

tff(func_def_415,type,
    comp_f2328362070581412293t_assn: ( fun_fu3335091274710497827t_assn * fun_fu3190366535859218979t_assn * fun_Pr6626665806141890376t_assn ) > fun_se1813665818355946760t_assn ).

tff(func_def_416,type,
    comp_f5755674356557206637it_nat: ( fun_fu5149662236961268259it_nat * fun_fu8187493333656138275it_nat * fun_Product_unit_nat ) > fun_se6000990411501066672it_nat ).

tff(func_def_417,type,
    fun_up8355007323143964473nteger: ( fun_Co8499238673658658103nteger * code_integer ) > fun_Co1981900195452921617nteger ).

tff(func_def_418,type,
    fun_upd_bool_bool: ( fun_bool_bool * bool ) > fun_bo1841576699660343469l_bool ).

tff(func_def_419,type,
    fun_upd_bool_int: ( fun_bool_int * bool * int ) > fun_bool_int ).

tff(func_def_420,type,
    fun_upd_bool_nat: ( fun_bool_nat * bool * nat ) > fun_bool_nat ).

tff(func_def_421,type,
    fun_up8679594366147656755t_unit: ( fun_bo1891391082718140537t_unit * bool * product_unit ) > fun_bo1891391082718140537t_unit ).

tff(func_def_422,type,
    fun_up1660446765068177181t_bool: ( fun_bool_set_bool * bool * set_bool ) > fun_bool_set_bool ).

tff(func_def_423,type,
    fun_upd_bool_set_int: ( fun_bool_set_int * bool * set_int ) > fun_bool_set_int ).

tff(func_def_424,type,
    fun_upd_bool_set_nat: ( fun_bool_set_nat * bool * set_nat ) > fun_bool_set_nat ).

tff(func_def_425,type,
    fun_up8580445034863906067t_unit: ( fun_bo8182086032597355865t_unit * bool * set_Product_unit ) > fun_bo8182086032597355865t_unit ).

tff(func_def_426,type,
    fun_upd_int_nat: ( fun_int_nat * int * nat ) > fun_int_nat ).

tff(func_def_427,type,
    fun_upd_int_set_bool: ( fun_int_set_bool * int * set_bool ) > fun_int_set_bool ).

tff(func_def_428,type,
    fun_up5054257004045450754t_unit: ( fun_in4731230917697954842t_unit * int * set_Product_unit ) > fun_in4731230917697954842t_unit ).

tff(func_def_429,type,
    fun_up3904115110581602988nteger: ( fun_nat_Code_integer * nat * code_integer ) > fun_nat_Code_integer ).

tff(func_def_430,type,
    fun_upd_nat_nat: ( fun_nat_nat * nat * nat ) > fun_nat_nat ).

tff(func_def_431,type,
    fun_upd_nat_set_nat: ( fun_nat_set_nat * nat * set_nat ) > fun_nat_set_nat ).

tff(func_def_432,type,
    fun_up6484412033975522759t_bool: ( fun_Pr1572506220757514509t_bool * product_unit * bool ) > fun_Pr1572506220757514509t_bool ).

tff(func_def_433,type,
    fun_up6470560416331323516it_int: ( fun_Product_unit_int * product_unit * int ) > fun_Product_unit_int ).

tff(func_def_434,type,
    fun_up6473050886840373792it_nat: ( fun_Product_unit_nat * product_unit * nat ) > fun_Product_unit_nat ).

tff(func_def_435,type,
    fun_up6875000483049295805t_unit: ( fun_Pr2191293291710260995t_unit * product_unit * product_unit ) > fun_Pr2191293291710260995t_unit ).

tff(func_def_436,type,
    fun_up6920149161277020327t_bool: ( fun_Pr6388117812002676717t_bool * product_unit * set_bool ) > fun_Pr6388117812002676717t_bool ).

tff(func_def_437,type,
    fun_up391983181201004082et_int: ( fun_Pr8362234881679108866et_int * product_unit * set_int ) > fun_Pr8362234881679108866et_int ).

tff(func_def_438,type,
    fun_up4569834200710200790et_nat: ( fun_Pr1628945989756059814et_nat * product_unit * set_nat ) > fun_Pr1628945989756059814et_nat ).

tff(func_def_439,type,
    fun_up488859312337516701t_unit: ( fun_Pr3013102738158121955t_unit * product_unit * set_Product_unit ) > fun_Pr3013102738158121955t_unit ).

tff(func_def_440,type,
    id_bool: fun_bool_bool ).

tff(func_def_441,type,
    inj_on1158064722259180589nteger: fun_Co8499238673658658103nteger > fun_se2712834123562403997r_bool ).

tff(func_def_442,type,
    inj_on1981279154655846304er_nat: fun_Code_integer_nat > fun_se2712834123562403997r_bool ).

tff(func_def_443,type,
    inj_on_bool_bool: fun_bool_bool > fun_set_bool_bool ).

tff(func_def_444,type,
    inj_on_bool_int: fun_bool_int > fun_set_bool_bool ).

tff(func_def_445,type,
    inj_on_bool_nat: fun_bool_nat > fun_set_bool_bool ).

tff(func_def_446,type,
    inj_on3602953163264457511t_unit: fun_bo1891391082718140537t_unit > fun_set_bool_bool ).

tff(func_def_447,type,
    inj_on_int_int: fun_int_int > fun_set_int_bool ).

tff(func_def_448,type,
    inj_on_int_nat: fun_int_nat > fun_set_int_bool ).

tff(func_def_449,type,
    inj_on2245834603434889120nteger: fun_nat_Code_integer > fun_set_nat_bool ).

tff(func_def_450,type,
    inj_on_nat_bool: fun_nat_bool > fun_set_nat_bool ).

tff(func_def_451,type,
    inj_on_nat_int: fun_nat_int > fun_set_nat_bool ).

tff(func_def_452,type,
    inj_on_nat_nat: fun_nat_nat > fun_set_nat_bool ).

tff(func_def_453,type,
    inj_on7061601236592826506t_unit: fun_nat_Product_unit > fun_set_nat_bool ).

tff(func_def_454,type,
    inj_on_nat_set_nat: fun_nat_set_nat > fun_set_nat_bool ).

tff(func_def_455,type,
    inj_on2748694813733691755t_bool: fun_na589949626680601079t_bool > fun_set_nat_bool ).

tff(func_def_456,type,
    inj_on1407770831092323515t_bool: fun_Pr1572506220757514509t_bool > fun_se407542756755239981t_bool ).

tff(func_def_457,type,
    inj_on8427948621271784584it_int: fun_Product_unit_int > fun_se407542756755239981t_bool ).

tff(func_def_458,type,
    inj_on8430439091780834860it_nat: fun_Product_unit_nat > fun_se407542756755239981t_bool ).

tff(func_def_459,type,
    inj_on8151373323710067377t_unit: fun_Pr2191293291710260995t_unit > fun_se407542756755239981t_bool ).

tff(func_def_460,type,
    inj_on_rat_rat: fun_rat_rat > fun_set_rat_bool ).

tff(func_def_461,type,
    inj_on5233515465490902541ol_nat: fun_fu7614330534255538897ol_nat > fun_se7275083947436752652l_bool ).

tff(func_def_462,type,
    map_fu2599414010547811884nteger: ( fun_Code_integer_int * fun_int_Code_integer ) > fun_fu6921880696561781257nteger ).

tff(func_def_463,type,
    map_fu1034890151506530863nteger: ( fun_Code_integer_int * fun_fu6921880696561781257nteger * fun_int_fun_int_int ) > fun_Co1981900195452921617nteger ).

tff(func_def_464,type,
    map_fu1239815594074539274atural: ( fun_Code_natural_nat * fun_nat_Code_natural ) > fun_fu6924846375782198887atural ).

tff(func_def_465,type,
    map_fu7613509917203888380atural: ( fun_Code_natural_nat * fun_fu6924846375782198887atural * fun_nat_fun_nat_nat ) > fun_Co6813818151677833714atural ).

tff(func_def_466,type,
    map_fu3667384564859982768at_int: ( fun_in4514472496968388910at_nat * fun_Pr7647638413817135296at_int ) > fun_fu3064074204415222357nt_int ).

tff(func_def_467,type,
    map_fu8294830438409148311nt_int: ( fun_in4514472496968388910at_nat * fun_fu3064074204415222357nt_int * fun_Pr2477239776880934807at_nat ) > fun_int_fun_int_int ).

tff(func_def_468,type,
    map_fu5118516228767806217l_bool: ( fun_ra4503298312962071866nt_int * fun_bool_bool * fun_Pr803113274115125473t_bool ) > fun_rat_bool ).

tff(func_def_469,type,
    map_fu5673905371560938248nt_rat: ( fun_ra4503298312962071866nt_int * fun_Pr1652463973008025892nt_rat ) > fun_fu1098312133097393581at_rat ).

tff(func_def_470,type,
    map_fu5968964422797239547at_rat: ( fun_ra4503298312962071866nt_int * fun_fu1098312133097393581at_rat * fun_Pr1308109350235310159nt_int ) > fun_rat_fun_rat_rat ).

tff(func_def_471,type,
    gcd_Gcd_int: set_int > int ).

tff(func_def_472,type,
    gcd_Gcd_nat: fun_set_nat_nat ).

tff(func_def_473,type,
    gcd_Lcm_nat: fun_set_nat_nat ).

tff(func_def_474,type,
    bezw: ( nat * nat ) > product_prod_int_int ).

tff(func_def_475,type,
    bezw_rel: fun_Pr248683899324676269t_bool ).

tff(func_def_476,type,
    gcd_gcd_Code_integer: fun_Co1981900195452921617nteger ).

tff(func_def_477,type,
    gcd_gcd_int: int > fun_int_int ).

tff(func_def_478,type,
    gcd_gcd_nat: nat > fun_nat_nat ).

tff(func_def_479,type,
    gcd_lcm_Code_integer: fun_Co1981900195452921617nteger ).

tff(func_def_480,type,
    gcd_lcm_int: int > fun_int_int ).

tff(func_def_481,type,
    gcd_lcm_nat: nat > fun_nat_nat ).

tff(func_def_482,type,
    semiri4256215615220890538in_int: set_int > int ).

tff(func_def_483,type,
    semiri4258706085729940814in_nat: fun_set_nat_nat ).

tff(func_def_484,type,
    abs_abs_Code_integer: fun_Co8499238673658658103nteger ).

tff(func_def_485,type,
    abs_abs_int: fun_int_int ).

tff(func_def_486,type,
    minus_minus_assn: assn > fun_assn_assn ).

tff(func_def_487,type,
    minus_8373710615458151222nteger: fun_Co1981900195452921617nteger ).

tff(func_def_488,type,
    minus_minus_int: int > fun_int_int ).

tff(func_def_489,type,
    minus_minus_nat: nat > fun_nat_nat ).

tff(func_def_490,type,
    minus_minus_rat: rat > fun_rat_rat ).

tff(func_def_491,type,
    minus_minus_set_assn: ( set_assn * set_assn ) > set_assn ).

tff(func_def_492,type,
    minus_2355218937544613996nteger: ( set_Code_integer * set_Code_integer ) > set_Code_integer ).

tff(func_def_493,type,
    minus_minus_set_bool: ( set_bool * set_bool ) > set_bool ).

tff(func_def_494,type,
    minus_minus_set_int: ( set_int * set_int ) > set_int ).

tff(func_def_495,type,
    minus_minus_set_nat: set_nat > fun_set_nat_set_nat ).

tff(func_def_496,type,
    minus_7845390959789457198l_bool: ( set_Pr8621012493645324487l_bool * set_Pr8621012493645324487l_bool ) > set_Pr8621012493645324487l_bool ).

tff(func_def_497,type,
    minus_1052850069191792384nt_int: ( set_Pr958786334691620121nt_int * set_Pr958786334691620121nt_int ) > set_Pr958786334691620121nt_int ).

tff(func_def_498,type,
    minus_1356011639430497352at_nat: ( set_Pr1261947904930325089at_nat * set_Pr1261947904930325089at_nat ) > set_Pr1261947904930325089at_nat ).

tff(func_def_499,type,
    minus_6985556733573110190t_unit: ( set_Pr5094982260447487303t_unit * set_Pr5094982260447487303t_unit ) > set_Pr5094982260447487303t_unit ).

tff(func_def_500,type,
    minus_1851875063103493486t_bool: ( set_Pr2055239900342597383t_bool * set_Pr2055239900342597383t_bool ) > set_Pr2055239900342597383t_bool ).

tff(func_def_501,type,
    minus_6452836326544984404t_unit: ( set_Product_unit * set_Product_unit ) > set_Product_unit ).

tff(func_def_502,type,
    minus_2163939370556025621et_nat: ( set_set_nat * set_set_nat ) > set_set_nat ).

tff(func_def_503,type,
    minus_5708602904570203829t_bool: ( set_fu6080891106736489294t_bool * set_fu6080891106736489294t_bool ) > set_fu6080891106736489294t_bool ).

tff(func_def_504,type,
    one_one_assn: assn ).

tff(func_def_505,type,
    one_one_Code_integer: code_integer ).

tff(func_def_506,type,
    one_one_Code_natural: code_natural ).

tff(func_def_507,type,
    one_one_int: int ).

tff(func_def_508,type,
    one_one_nat: nat ).

tff(func_def_509,type,
    one_one_rat: rat ).

tff(func_def_510,type,
    plus_p5714425477246183910nteger: fun_Co1981900195452921617nteger ).

tff(func_def_511,type,
    plus_p4538020629002901425atural: ( code_natural * code_natural ) > code_natural ).

tff(func_def_512,type,
    plus_plus_int: int > fun_int_int ).

tff(func_def_513,type,
    plus_plus_nat: nat > fun_nat_nat ).

tff(func_def_514,type,
    plus_plus_num: ( num * num ) > num ).

tff(func_def_515,type,
    plus_plus_rat: fun_rat_fun_rat_rat ).

tff(func_def_516,type,
    sgn_sgn_Code_integer: fun_Co8499238673658658103nteger ).

tff(func_def_517,type,
    sgn_sgn_int: fun_int_int ).

tff(func_def_518,type,
    sgn_sgn_rat: fun_rat_rat ).

tff(func_def_519,type,
    times_times_assn: assn > fun_assn_assn ).

tff(func_def_520,type,
    times_3573771949741848930nteger: fun_Co1981900195452921617nteger ).

tff(func_def_521,type,
    times_2397367101498566445atural: fun_Co6813818151677833714atural ).

tff(func_def_522,type,
    times_times_int: fun_int_fun_int_int ).

tff(func_def_523,type,
    times_times_nat: fun_nat_fun_nat_nat ).

tff(func_def_524,type,
    times_times_num: ( num * num ) > num ).

tff(func_def_525,type,
    times_times_rat: fun_rat_fun_rat_rat ).

tff(func_def_526,type,
    uminus_uminus_assn: fun_assn_assn ).

tff(func_def_527,type,
    uminus1351360451143612070nteger: fun_Co8499238673658658103nteger ).

tff(func_def_528,type,
    uminus_uminus_int: fun_int_int ).

tff(func_def_529,type,
    uminus2952777764628376836t_unit: fun_Pr2191293291710260995t_unit ).

tff(func_def_530,type,
    uminus_uminus_rat: fun_rat_rat ).

tff(func_def_531,type,
    uminus5166143097222041326t_bool: set_bool > set_bool ).

tff(func_def_532,type,
    uminus1532241313380277803et_int: set_int > set_int ).

tff(func_def_533,type,
    uminus5710092332889474511et_nat: fun_set_nat_set_nat ).

tff(func_def_534,type,
    uminus5944136376168626660t_unit: set_Product_unit > set_Product_unit ).

tff(func_def_535,type,
    uminus1771780720750505797t_bool: set_fu6080891106736489294t_bool > set_fu6080891106736489294t_bool ).

tff(func_def_536,type,
    zero_z3403309356797280102nteger: code_integer ).

tff(func_def_537,type,
    zero_z2226904508553997617atural: code_natural ).

tff(func_def_538,type,
    zero_zero_int: int ).

tff(func_def_539,type,
    zero_zero_nat: nat ).

tff(func_def_540,type,
    zero_zero_rat: rat ).

tff(func_def_541,type,
    groups879477027807139574nteger: ( fun_Co8499238673658658103nteger * set_Code_integer ) > code_integer ).

tff(func_def_542,type,
    groups7234854612051535045er_int: ( fun_Code_integer_int * set_Code_integer ) > int ).

tff(func_def_543,type,
    groups7237345082560585321er_nat: ( fun_Code_integer_nat * set_Code_integer ) > nat ).

tff(func_def_544,type,
    groups6602215022474089585er_rat: ( fun_Code_integer_rat * set_Code_integer ) > rat ).

tff(func_def_545,type,
    groups1682264926906508858nteger: ( fun_bo7282069421189217543nteger * set_bool ) > code_integer ).

tff(func_def_546,type,
    groups5766010803219694601ol_int: ( fun_bool_int * set_bool ) > int ).

tff(func_def_547,type,
    groups5768501273728744877ol_nat: ( fun_bool_nat * set_bool ) > nat ).

tff(func_def_548,type,
    groups5133371213642249141ol_rat: ( fun_bool_rat * set_bool ) > rat ).

tff(func_def_549,type,
    groups7873554091576472773nteger: ( fun_int_Code_integer * set_int ) > code_integer ).

tff(func_def_550,type,
    groups4538972089207619220nt_int: fun_fu3260953082973683165nt_int ).

tff(func_def_551,type,
    groups4541462559716669496nt_nat: ( fun_int_nat * set_int ) > nat ).

tff(func_def_552,type,
    groups3906332499630173760nt_rat: ( fun_int_rat * set_int ) > rat ).

tff(func_def_553,type,
    groups7501900531339628137nteger: ( fun_nat_Code_integer * set_nat ) > code_integer ).

tff(func_def_554,type,
    groups3539618377306564664at_int: fun_nat_int > fun_set_nat_int ).

tff(func_def_555,type,
    groups3542108847815614940at_nat: fun_fu8205514246900447853at_nat ).

tff(func_def_556,type,
    groups2906978787729119204at_rat: ( fun_nat_rat * set_nat ) > rat ).

tff(func_def_557,type,
    groups5393439102872367408nteger: ( fun_Pr1820225556744648189nteger * set_Product_unit ) > code_integer ).

tff(func_def_558,type,
    groups8764306707065906943it_int: ( fun_Product_unit_int * set_Product_unit ) > int ).

tff(func_def_559,type,
    groups8766797177574957219it_nat: ( fun_Product_unit_nat * set_Product_unit ) > nat ).

tff(func_def_560,type,
    groups8131667117488461483it_rat: ( fun_Product_unit_rat * set_Product_unit ) > rat ).

tff(func_def_561,type,
    groups1256056575759317066nt_int: fun_fu2645800954871104329nt_int ).

tff(func_def_562,type,
    groups8294997508430121362at_nat: fun_fu5026725344274480089at_nat ).

tff(func_def_563,type,
    groups6643508304811957636ol_nat: ( fun_fu7614330534255538897ol_nat * set_fu6080891106736489294t_bool ) > nat ).

tff(func_def_564,type,
    groups1304777262505850412r_assn: fun_fu727159081937814839r_assn ).

tff(func_def_565,type,
    groups3674199335183972705nteger: ( fun_Co8499238673658658103nteger * set_Code_integer ) > code_integer ).

tff(func_def_566,type,
    groups2497794486940690220atural: ( fun_Co3734316457315071362atural * set_Code_integer ) > code_natural ).

tff(func_def_567,type,
    groups3188404863801439024er_int: ( fun_Code_integer_int * set_Code_integer ) > int ).

tff(func_def_568,type,
    groups3190895334310489300er_nat: fun_fu6225000568980017287er_nat ).

tff(func_def_569,type,
    groups2555765274223993564er_rat: ( fun_Code_integer_rat * set_Code_integer ) > rat ).

tff(func_def_570,type,
    groups4835110720589548378l_assn: fun_fu3065856773340909731l_assn ).

tff(func_def_571,type,
    groups7272450149305381519nteger: ( fun_bo7282069421189217543nteger * set_bool ) > code_integer ).

tff(func_def_572,type,
    groups6096045301062099034atural: ( fun_bo2517147204845630802atural * set_bool ) > code_natural ).

tff(func_def_573,type,
    groups1892458791187145822ol_int: ( fun_bool_int * set_bool ) > int ).

tff(func_def_574,type,
    groups1894949261696196098ol_nat: fun_fu9149972526633946275ol_nat ).

tff(func_def_575,type,
    groups1259819201609700362ol_rat: ( fun_bool_rat * set_bool ) > rat ).

tff(func_def_576,type,
    groups7882442080178216443t_assn: fun_fu6757290529232567765t_assn ).

tff(func_def_577,type,
    groups3827104343326376752nteger: ( fun_int_Code_integer * set_int ) > code_integer ).

tff(func_def_578,type,
    groups2650699495083094267atural: ( fun_int_Code_natural * set_int ) > code_natural ).

tff(func_def_579,type,
    groups1705073143266064639nt_int: fun_fu3260953082973683165nt_int ).

tff(func_def_580,type,
    groups1707563613775114915nt_nat: fun_fu1358573228874515237nt_nat ).

tff(func_def_581,type,
    groups1072433553688619179nt_rat: ( fun_int_rat * set_int ) > rat ).

tff(func_def_582,type,
    groups6906906614972039071t_assn: fun_fu5799692449055808797t_assn ).

tff(func_def_583,type,
    groups3455450783089532116nteger: ( fun_nat_Code_integer * set_nat ) > code_integer ).

tff(func_def_584,type,
    groups2279045934846249631atural: ( fun_nat_Code_natural * set_nat ) > code_natural ).

tff(func_def_585,type,
    groups705719431365010083at_int: fun_nat_int > fun_set_nat_int ).

tff(func_def_586,type,
    groups708209901874060359at_nat: fun_fu8205514246900447853at_nat ).

tff(func_def_587,type,
    groups73079841787564623at_rat: ( fun_nat_rat * set_nat ) > rat ).

tff(func_def_588,type,
    groups5360233303959380816t_assn: fun_fu3190366535859218979t_assn ).

tff(func_def_589,type,
    groups8185359811944078981nteger: ( fun_Pr1820225556744648189nteger * set_Product_unit ) > code_integer ).

tff(func_def_590,type,
    groups7008954963700796496atural: ( fun_Pr6278675377255837256atural * set_Product_unit ) > code_natural ).

tff(func_def_591,type,
    groups393930778517121108it_int: ( fun_Product_unit_int * set_Product_unit ) > int ).

tff(func_def_592,type,
    groups396421249026171384it_nat: fun_fu8187493333656138275it_nat ).

tff(func_def_593,type,
    groups8984663225794451456it_rat: ( fun_Product_unit_rat * set_Product_unit ) > rat ).

tff(func_def_594,type,
    groups4245288774754739042r_assn: fun_fu4821026654811345315r_assn ).

tff(func_def_595,type,
    groups6044384099095135754er_nat: fun_fu7716566084524949747er_nat ).

tff(func_def_596,type,
    groups4081101310810662458l_assn: fun_fu4738270438141978787l_assn ).

tff(func_def_597,type,
    groups6307711326584830178ol_nat: fun_fu7012545734135022755ol_nat ).

tff(func_def_598,type,
    groups5950967880310095793t_assn: fun_fu7925354201654153025t_assn ).

tff(func_def_599,type,
    groups6432978864363996853nt_int: fun_fu2645800954871104329nt_int ).

tff(func_def_600,type,
    groups6435469334873047129nt_nat: fun_fu6730287655669069969nt_nat ).

tff(func_def_601,type,
    groups1535173586962943829t_assn: fun_fu5180488074244323977t_assn ).

tff(func_def_602,type,
    groups4248547760180025341at_nat: fun_fu5026725344274480089at_nat ).

tff(func_def_603,type,
    groups2392624107559085104t_assn: fun_fu3335091274710497827t_assn ).

tff(func_def_604,type,
    groups8454329047868613336it_nat: fun_fu5149662236961268259it_nat ).

tff(func_def_605,type,
    defaul566961228789861419t_unit: product_unit ).

tff(func_def_606,type,
    arrays_Product_unit: ( heap_e7401611519738050253t_unit * typerep * nat ) > list_nat ).

tff(func_def_607,type,
    lim_Product_unit: fun_he1033112309995878576it_nat ).

tff(func_def_608,type,
    refs_Product_unit: ( heap_e7401611519738050253t_unit * typerep ) > fun_nat_nat ).

tff(func_def_609,type,
    if_Code_integer: bool > fun_Co1981900195452921617nteger ).

tff(func_def_610,type,
    if_int: ( bool * int ) > fun_int_int ).

tff(func_def_611,type,
    if_Pro6119634080678213985nteger: ( bool * produc8923325533196201883nteger * produc8923325533196201883nteger ) > produc8923325533196201883nteger ).

tff(func_def_612,type,
    if_Pro3027730157355071871nt_int: ( bool * product_prod_int_int * product_prod_int_int ) > product_prod_int_int ).

tff(func_def_613,type,
    if_Pro6206227464963214023at_nat: ( bool * product_prod_nat_nat * product_prod_nat_nat ) > product_prod_nat_nat ).

tff(func_def_614,type,
    if_set_bool: ( bool * set_bool * set_bool ) > set_bool ).

tff(func_def_615,type,
    if_set_int: ( bool * set_int * set_int ) > set_int ).

tff(func_def_616,type,
    if_set_nat: ( bool * set_nat ) > fun_set_nat_set_nat ).

tff(func_def_617,type,
    if_set_Product_unit: ( bool * set_Product_unit * set_Product_unit ) > set_Product_unit ).

tff(func_def_618,type,
    infini8530281810654367211te_nat: set_nat > fun_nat_nat ).

tff(func_def_619,type,
    infini7930543730640340914t_unit: set_Product_unit > fun_nat_Product_unit ).

tff(func_def_620,type,
    abs_Integ: fun_Pr7647638413817135296at_int ).

tff(func_def_621,type,
    neg: num > int ).

tff(func_def_622,type,
    pos: num > int ).

tff(func_def_623,type,
    rep_Integ: fun_in4514472496968388910at_nat ).

tff(func_def_624,type,
    intrel: fun_Pr248683899324676269t_bool ).

tff(func_def_625,type,
    nat2: fun_int_nat ).

tff(func_def_626,type,
    pcr_int: fun_Pr5932607294251420486t_bool ).

tff(func_def_627,type,
    ring_1_of_int_rat: fun_int_rat ).

tff(func_def_628,type,
    inf_inf_assn: fun_as3983628580203722482n_assn ).

tff(func_def_629,type,
    inf_inf_filter_nat: ( filter_nat * filter_nat ) > filter_nat ).

tff(func_def_630,type,
    inf_inf_bool: fun_bo1841576699660343469l_bool ).

tff(func_def_631,type,
    inf_inf_int: fun_int_fun_int_int ).

tff(func_def_632,type,
    inf_inf_nat: fun_nat_fun_nat_nat ).

tff(func_def_633,type,
    inf_inf_Product_unit: fun_Pr3553901264588531491t_unit ).

tff(func_def_634,type,
    inf_in1364745209274528805nteger: ( set_Code_integer * set_Code_integer ) > set_Code_integer ).

tff(func_def_635,type,
    inf_in7395780696554941096er_nat: ( set_filter_nat * set_filter_nat ) > set_filter_nat ).

tff(func_def_636,type,
    inf_inf_set_bool: ( set_bool * set_bool ) > set_bool ).

tff(func_def_637,type,
    inf_inf_set_int: ( set_int * set_int ) > set_int ).

tff(func_def_638,type,
    inf_inf_set_nat: fun_se1909708154429037836et_nat ).

tff(func_def_639,type,
    inf_in2269163501485487111nt_int: ( set_Pr958786334691620121nt_int * set_Pr958786334691620121nt_int ) > set_Pr958786334691620121nt_int ).

tff(func_def_640,type,
    inf_in2572325071724192079at_nat: ( set_Pr1261947904930325089at_nat * set_Pr1261947904930325089at_nat ) > set_Pr1261947904930325089at_nat ).

tff(func_def_641,type,
    inf_in4660618365625256667t_unit: ( set_Product_unit * set_Product_unit ) > set_Product_unit ).

tff(func_def_642,type,
    inf_inf_set_set_nat: ( set_set_nat * set_set_nat ) > set_set_nat ).

tff(func_def_643,type,
    inf_in1689267372175091004t_bool: ( set_fu6080891106736489294t_bool * set_fu6080891106736489294t_bool ) > set_fu6080891106736489294t_bool ).

tff(func_def_644,type,
    inf_in8097568220433561052t_bool: fun_Pr6001797050664311790t_bool > fun_fu7398481913972163267t_bool ).

tff(func_def_645,type,
    sup_sup_assn: fun_as3983628580203722482n_assn ).

tff(func_def_646,type,
    sup_sup_filter_nat: ( filter_nat * filter_nat ) > filter_nat ).

tff(func_def_647,type,
    sup_sup_bool: fun_bo1841576699660343469l_bool ).

tff(func_def_648,type,
    sup_sup_int: fun_int_fun_int_int ).

tff(func_def_649,type,
    sup_sup_nat: fun_nat_fun_nat_nat ).

tff(func_def_650,type,
    sup_sup_Product_unit: fun_Pr3553901264588531491t_unit ).

tff(func_def_651,type,
    sup_sup_set_assn: ( set_assn * set_assn ) > set_assn ).

tff(func_def_652,type,
    sup_su848401254843788991nteger: ( set_Code_integer * set_Code_integer ) > set_Code_integer ).

tff(func_def_653,type,
    sup_sup_set_bool: fun_se3394281818192328589t_bool ).

tff(func_def_654,type,
    sup_sup_set_int: fun_se6573205548028396576et_int ).

tff(func_def_655,type,
    sup_sup_set_nat: fun_se1909708154429037836et_nat ).

tff(func_def_656,type,
    sup_su501663365221149339l_bool: ( set_Pr8621012493645324487l_bool * set_Pr8621012493645324487l_bool ) > set_Pr8621012493645324487l_bool ).

tff(func_def_657,type,
    sup_su6024340866399070445nt_int: ( set_Pr958786334691620121nt_int * set_Pr958786334691620121nt_int ) > set_Pr958786334691620121nt_int ).

tff(func_def_658,type,
    sup_su6327502436637775413at_nat: ( set_Pr1261947904930325089at_nat * set_Pr1261947904930325089at_nat ) > set_Pr1261947904930325089at_nat ).

tff(func_def_659,type,
    sup_su6481247232241170203t_unit: ( set_Pr5094982260447487303t_unit * set_Pr5094982260447487303t_unit ) > set_Pr5094982260447487303t_unit ).

tff(func_def_660,type,
    sup_su3004774397204558491t_bool: ( set_Pr3642346839158376647t_bool * set_Pr3642346839158376647t_bool ) > set_Pr3642346839158376647t_bool ).

tff(func_def_661,type,
    sup_su1286422330746572633et_int: ( set_Pr2522554150109002629et_int * set_Pr2522554150109002629et_int ) > set_Pr2522554150109002629et_int ).

tff(func_def_662,type,
    sup_su4251893418135750817et_nat: ( set_Pr5488025237498180813et_nat * set_Pr5488025237498180813et_nat ) > set_Pr5488025237498180813et_nat ).

tff(func_def_663,type,
    sup_su3573767163274163995t_unit: ( set_Pr3980508049012409671t_unit * set_Pr3980508049012409671t_unit ) > set_Pr3980508049012409671t_unit ).

tff(func_def_664,type,
    sup_su5735255896584013019t_bool: ( set_Pr6448005306607475463t_bool * set_Pr6448005306607475463t_bool ) > set_Pr6448005306607475463t_bool ).

tff(func_def_665,type,
    sup_su2094546551370318043t_bool: ( set_Pr2055239900342597383t_bool * set_Pr2055239900342597383t_bool ) > set_Pr2055239900342597383t_bool ).

tff(func_def_666,type,
    sup_su793286257634532545t_unit: fun_se2593093895363294211t_unit ).

tff(func_def_667,type,
    sup_sup_set_set_bool: ( set_set_bool * set_set_bool ) > set_set_bool ).

tff(func_def_668,type,
    sup_sup_set_set_int: ( set_set_int * set_set_int ) > set_set_int ).

tff(func_def_669,type,
    sup_sup_set_set_nat: ( set_set_nat * set_set_nat ) > set_set_nat ).

tff(func_def_670,type,
    sup_su5975557051335651745t_unit: ( set_set_Product_unit * set_set_Product_unit ) > set_set_Product_unit ).

tff(func_def_671,type,
    sup_su7328640041279924514t_bool: fun_se2730912884141707428t_bool ).

tff(func_def_672,type,
    sup_su2672187036254057601l_bool: ( fun_bo1841576699660343469l_bool * fun_bo1841576699660343469l_bool ) > fun_bo1841576699660343469l_bool ).

tff(func_def_673,type,
    sup_su8050957313097713605t_bool: ( fun_int_fun_int_bool * fun_int_fun_int_bool ) > fun_int_fun_int_bool ).

tff(func_def_674,type,
    sup_su8404041055355318397t_bool: ( fun_nat_fun_nat_bool * fun_nat_fun_nat_bool ) > fun_nat_fun_nat_bool ).

tff(func_def_675,type,
    sup_su4582213368500982210t_bool: fun_Pr6001797050664311790t_bool > fun_fu7398481913972163267t_bool ).

tff(func_def_676,type,
    sup_su1348907875977115393t_bool: ( fun_Pr5562079387306038061t_bool * fun_Pr5562079387306038061t_bool ) > fun_Pr5562079387306038061t_bool ).

tff(func_def_677,type,
    sup_su574547613834461249l_bool: ( fun_fu7365307207611327597l_bool * fun_fu7365307207611327597l_bool ) > fun_fu7365307207611327597l_bool ).

tff(func_def_678,type,
    lattic4901227151466704046nteger: set_Code_integer > code_integer ).

tff(func_def_679,type,
    lattic7308977977949639686x_bool: fun_set_bool_bool ).

tff(func_def_680,type,
    lattic8263393255366662781ax_int: set_int > int ).

tff(func_def_681,type,
    lattic8265883725875713057ax_nat: fun_set_nat_nat ).

tff(func_def_682,type,
    lattic1210392890313158908t_unit: set_Product_unit > product_unit ).

tff(func_def_683,type,
    lattic7630753665789217321ax_rat: set_rat > rat ).

tff(func_def_684,type,
    lattic1063845414844153500nteger: set_Code_integer > code_integer ).

tff(func_def_685,type,
    lattic6090648965395416472n_bool: fun_set_bool_bool ).

tff(func_def_686,type,
    lattic8718645017227715691in_int: set_int > int ).

tff(func_def_687,type,
    lattic8721135487736765967in_nat: fun_set_nat_nat ).

tff(func_def_688,type,
    lattic8554435388794137742t_unit: set_Product_unit > product_unit ).

tff(func_def_689,type,
    lattic8086005427650270231in_rat: set_rat > rat ).

tff(func_def_690,type,
    lattic4682378690128378784r_assn: ( fun_Co4490034186337852034r_assn * set_Code_integer ) > code_integer ).

tff(func_def_691,type,
    lattic6074936555552774728er_nat: ( fun_Code_integer_nat * set_Code_integer ) > code_integer ).

tff(func_def_692,type,
    lattic5439806495466278992er_rat: ( fun_Code_integer_rat * set_Code_integer ) > code_integer ).

tff(func_def_693,type,
    lattic1937981540849603302l_assn: fun_bool_assn > fun_set_bool_bool ).

tff(func_def_694,type,
    lattic6837267128570281358ol_nat: fun_bool_nat > fun_set_bool_bool ).

tff(func_def_695,type,
    lattic6202137068483785622ol_rat: fun_bool_rat > fun_set_bool_bool ).

tff(func_def_696,type,
    lattic3162799611691135855t_assn: ( fun_int_assn * set_int ) > int ).

tff(func_def_697,type,
    lattic8446286672483414039nt_nat: ( fun_int_nat * set_int ) > int ).

tff(func_def_698,type,
    lattic7811156612396918303nt_rat: ( fun_int_rat * set_int ) > int ).

tff(func_def_699,type,
    lattic2187264146484958483t_assn: fun_nat_assn > fun_set_nat_nat ).

tff(func_def_700,type,
    lattic7446932960582359483at_nat: fun_nat_nat > fun_set_nat_nat ).

tff(func_def_701,type,
    lattic6811802900495863747at_rat: fun_nat_rat > fun_set_nat_nat ).

tff(func_def_702,type,
    lattic4376901495776413404t_assn: ( fun_Pr6626665806141890376t_assn * set_Product_unit ) > product_unit ).

tff(func_def_703,type,
    lattic1360832392136924548it_nat: ( fun_Product_unit_nat * set_Product_unit ) > product_unit ).

tff(func_def_704,type,
    lattic725702332050428812it_rat: ( fun_Product_unit_rat * set_Product_unit ) > product_unit ).

tff(func_def_705,type,
    lattic47131356835913163n_assn: set_assn > assn ).

tff(func_def_706,type,
    lattic9128708996678779395er_nat: set_filter_nat > filter_nat ).

tff(func_def_707,type,
    lattic4298657801711135284n_bool: fun_set_bool_bool ).

tff(func_def_708,type,
    lattic5235898064620869839in_int: set_int > int ).

tff(func_def_709,type,
    lattic5238388535129920115in_nat: fun_set_nat_nat ).

tff(func_def_710,type,
    lattic1263872656861969706t_unit: set_Product_unit > product_unit ).

tff(func_def_711,type,
    lattic4603258475043424379in_rat: set_rat > rat ).

tff(func_def_712,type,
    lattic3014633134055518761et_nat: set_set_nat > set_nat ).

tff(func_def_713,type,
    lattic8460502905440904715t_bool: set_fu6080891106736489294t_bool > fun_Pr6001797050664311790t_bool ).

tff(func_def_714,type,
    lattic2150320897289308081n_assn: set_assn > assn ).

tff(func_def_715,type,
    lattic5930898082463196905er_nat: set_filter_nat > filter_nat ).

tff(func_def_716,type,
    lattic4459742748949589454n_bool: fun_set_bool_bool ).

tff(func_def_717,type,
    lattic1091506334969745077in_int: set_int > int ).

tff(func_def_718,type,
    lattic1093996805478795353in_nat: fun_set_nat_nat ).

tff(func_def_719,type,
    lattic5294303975357428420t_unit: set_Product_unit > product_unit ).

tff(func_def_720,type,
    lattic458866745392299617in_rat: set_rat > rat ).

tff(func_def_721,type,
    lattic3835124923745554447et_nat: set_set_nat > set_nat ).

tff(func_def_722,type,
    lattic3458005392224381349t_bool: set_fu6080891106736489294t_bool > fun_Pr6001797050664311790t_bool ).

tff(func_def_723,type,
    append_nat: ( list_nat * list_nat ) > list_nat ).

tff(func_def_724,type,
    butlast_nat: list_nat > list_nat ).

tff(func_def_725,type,
    filter_nat2: ( fun_nat_bool * list_nat ) > list_nat ).

tff(func_def_726,type,
    cons_nat: ( nat * list_nat ) > list_nat ).

tff(func_def_727,type,
    nil_nat: list_nat ).

tff(func_def_728,type,
    map_nat_nat: ( fun_nat_nat * list_nat ) > list_nat ).

tff(func_def_729,type,
    upt: ( nat * nat ) > list_nat ).

tff(func_def_730,type,
    fun_of5878246503291251064et_nat: ( set_Pr3948176798113811640et_nat * heap_e7401611519738050253t_unit ) > set_nat ).

tff(func_def_731,type,
    fun_of_rel_int_int: set_Pr958786334691620121nt_int > fun_int_int ).

tff(func_def_732,type,
    fun_of_rel_nat_nat: set_Pr1261947904930325089at_nat > fun_nat_nat ).

tff(func_def_733,type,
    fun_of7811391223415818517et_nat: ( set_Pr1106803562331729365et_nat * fun_Pr6001797050664311790t_bool ) > produc3658429121746597890et_nat ).

tff(func_def_734,type,
    fun_of4910183323891470514et_nat: ( set_Pr9222568342844664434et_nat * fun_Pr6001797050664311790t_bool ) > produc6108883039684432031et_nat ).

tff(func_def_735,type,
    inv_on4869000451854154612nteger: ( fun_Co8499238673658658103nteger * set_Code_integer ) > fun_Co8499238673658658103nteger ).

tff(func_def_736,type,
    inv_on_bool_int: ( fun_bool_int * set_bool ) > fun_int_bool ).

tff(func_def_737,type,
    inv_on_bool_nat: ( fun_bool_nat * set_bool ) > fun_nat_bool ).

tff(func_def_738,type,
    inv_on_int_int: ( fun_int_int * set_int ) > fun_int_int ).

tff(func_def_739,type,
    inv_on_int_nat: ( fun_int_nat * set_int ) > fun_nat_int ).

tff(func_def_740,type,
    inv_on1369624593536199399nteger: ( fun_nat_Code_integer * set_nat ) > fun_Code_integer_nat ).

tff(func_def_741,type,
    inv_on_nat_int: ( fun_nat_int * set_nat ) > fun_int_nat ).

tff(func_def_742,type,
    inv_on_nat_nat: ( fun_nat_nat * set_nat ) > fun_nat_nat ).

tff(func_def_743,type,
    inv_on_nat_set_nat: ( fun_nat_set_nat * set_nat ) > fun_set_nat_nat ).

tff(func_def_744,type,
    inv_on7725125254116338689it_int: ( fun_Product_unit_int * set_Product_unit ) > fun_int_Product_unit ).

tff(func_def_745,type,
    inv_on7727615724625388965it_nat: ( fun_Product_unit_nat * set_Product_unit ) > fun_nat_Product_unit ).

tff(func_def_746,type,
    pairself_int_int: fun_int_int > fun_Pr2478283820680522243nt_int ).

tff(func_def_747,type,
    pairself_int_nat: fun_int_nat > fun_Pr2781445390919227211at_nat ).

tff(func_def_748,type,
    pairself_nat_int: fun_nat_int > fun_Pr1815330137571409595nt_int ).

tff(func_def_749,type,
    pairself_nat_nat: fun_nat_nat > fun_Pr2118491707810114563at_nat ).

tff(func_def_750,type,
    pairself_rel_int_int: fun_Pr2240060361094050455t_bool ).

tff(func_def_751,type,
    pairself_rel_int_nat: fun_Pr4983655124978328031t_bool ).

tff(func_def_752,type,
    pairself_rel_nat_int: fun_Pr1014183174784581455t_bool ).

tff(func_def_753,type,
    pairself_rel_nat_nat: fun_Pr3757777938668859031t_bool ).

tff(func_def_754,type,
    rel_restrict_bool: ( set_Pr8621012493645324487l_bool * set_bool ) > set_Pr8621012493645324487l_bool ).

tff(func_def_755,type,
    rel_restrict_int: ( set_Pr958786334691620121nt_int * set_int ) > set_Pr958786334691620121nt_int ).

tff(func_def_756,type,
    rel_restrict_nat: ( set_Pr1261947904930325089at_nat * set_nat ) > set_Pr1261947904930325089at_nat ).

tff(func_def_757,type,
    rel_re9207996470947987439t_unit: ( set_Pr5094982260447487303t_unit * set_Product_unit ) > set_Pr5094982260447487303t_unit ).

tff(func_def_758,type,
    rel_re2017053329773869008t_bool: ( set_Pr2055239900342597383t_bool * set_fu6080891106736489294t_bool ) > set_Pr2055239900342597383t_bool ).

tff(func_def_759,type,
    suc: fun_nat_nat ).

tff(func_def_760,type,
    semiri4939895301339042750nteger: fun_nat_Code_integer ).

tff(func_def_761,type,
    semiri3763490453095760265atural: fun_nat_Code_natural ).

tff(func_def_762,type,
    semiri1314217659103216013at_int: fun_nat_int ).

tff(func_def_763,type,
    semiri1316708129612266289at_nat: fun_nat_nat ).

tff(func_def_764,type,
    semiri681578069525770553at_rat: fun_nat_rat ).

tff(func_def_765,type,
    nat_set_decode: fun_nat_set_nat ).

tff(func_def_766,type,
    nat_set_encode: fun_set_nat_nat ).

tff(func_def_767,type,
    nat_sum_encode: sum_sum_nat_nat > nat ).

tff(func_def_768,type,
    nat_triangle: fun_nat_nat ).

tff(func_def_769,type,
    bitM: num > num ).

tff(func_def_770,type,
    inc: num > num ).

tff(func_def_771,type,
    nat_of_num: num > nat ).

tff(func_def_772,type,
    neg_nu7757733837767384882nteger: fun_Co8499238673658658103nteger ).

tff(func_def_773,type,
    neg_nu3811975205180677377ec_int: fun_int_int ).

tff(func_def_774,type,
    neg_nu3179335615603231917ec_rat: fun_rat_rat ).

tff(func_def_775,type,
    neg_nu5831290666863070958nteger: fun_Co8499238673658658103nteger ).

tff(func_def_776,type,
    neg_nu5851722552734809277nc_int: fun_int_int ).

tff(func_def_777,type,
    neg_nu5219082963157363817nc_rat: fun_rat_rat ).

tff(func_def_778,type,
    neg_numeral_sub_int: ( num * num ) > int ).

tff(func_def_779,type,
    bit0: num > num ).

tff(func_def_780,type,
    bit1: num > num ).

tff(func_def_781,type,
    one: num ).

tff(func_def_782,type,
    num_of_nat: nat > num ).

tff(func_def_783,type,
    numera6620942414471956472nteger: num > code_integer ).

tff(func_def_784,type,
    numera5444537566228673987atural: num > code_natural ).

tff(func_def_785,type,
    numeral_numeral_int: num > int ).

tff(func_def_786,type,
    numeral_numeral_nat: num > nat ).

tff(func_def_787,type,
    pow: ( num * num ) > num ).

tff(func_def_788,type,
    pred_numeral: num > nat ).

tff(func_def_789,type,
    sqr: num > num ).

tff(func_def_790,type,
    order_underS_bool: set_Pr8621012493645324487l_bool > fun_bool_set_bool ).

tff(func_def_791,type,
    order_underS_int: set_Pr958786334691620121nt_int > fun_int_set_int ).

tff(func_def_792,type,
    order_underS_nat: set_Pr1261947904930325089at_nat > fun_nat_set_nat ).

tff(func_def_793,type,
    order_5809128134054296019t_unit: set_Pr5094982260447487303t_unit > fun_Pr3013102738158121955t_unit ).

tff(func_def_794,type,
    order_631226013062946228t_bool: ( set_Pr2055239900342597383t_bool * fun_Pr6001797050664311790t_bool ) > set_fu6080891106736489294t_bool ).

tff(func_def_795,type,
    order_under_bool: set_Pr8621012493645324487l_bool > fun_bool_set_bool ).

tff(func_def_796,type,
    order_under_int: set_Pr958786334691620121nt_int > fun_int_set_int ).

tff(func_def_797,type,
    order_under_nat: set_Pr1261947904930325089at_nat > fun_nat_set_nat ).

tff(func_def_798,type,
    order_6949322460238004850t_unit: set_Pr5094982260447487303t_unit > fun_Pr3013102738158121955t_unit ).

tff(func_def_799,type,
    order_6503552831732581203t_bool: ( set_Pr2055239900342597383t_bool * fun_Pr6001797050664311790t_bool ) > set_fu6080891106736489294t_bool ).

tff(func_def_800,type,
    bot_bot_assn: assn ).

tff(func_def_801,type,
    bot_bot_filter_nat: filter_nat ).

tff(func_def_802,type,
    bot_bot_nat: nat ).

tff(func_def_803,type,
    bot_bot_Product_unit: product_unit ).

tff(func_def_804,type,
    bot_bot_set_assn: set_assn ).

tff(func_def_805,type,
    bot_bo3990330152332043303nteger: set_Code_integer ).

tff(func_def_806,type,
    bot_bo498966703094740906er_nat: set_filter_nat ).

tff(func_def_807,type,
    bot_bot_set_bool: set_bool ).

tff(func_def_808,type,
    bot_bo3686245532977126937t_unit: set_he8644174446132254637t_unit ).

tff(func_def_809,type,
    bot_bot_set_int: set_int ).

tff(func_def_810,type,
    bot_bot_set_nat: set_nat ).

tff(func_def_811,type,
    bot_bo3663083580490196787l_bool: set_Pr8621012493645324487l_bool ).

tff(func_def_812,type,
    bot_bo3771712512152092492et_nat: set_Pr3948176798113811640et_nat ).

tff(func_def_813,type,
    bot_bo1796632182523588997nt_int: set_Pr958786334691620121nt_int ).

tff(func_def_814,type,
    bot_bo2099793752762293965at_nat: set_Pr1261947904930325089at_nat ).

tff(func_def_815,type,
    bot_bo1654022762305692595t_unit: set_Pr5094982260447487303t_unit ).

tff(func_def_816,type,
    bot_bo2537477151585595187t_bool: set_Pr3642346839158376647t_bool ).

tff(func_def_817,type,
    bot_bo1987282549146081265et_int: set_Pr2522554150109002629et_int ).

tff(func_def_818,type,
    bot_bo4952753636535259449et_nat: set_Pr5488025237498180813et_nat ).

tff(func_def_819,type,
    bot_bo5113747506523071411t_unit: set_Pr3980508049012409671t_unit ).

tff(func_def_820,type,
    bot_bo2255077055568920947t_bool: set_Pr6448005306607475463t_bool ).

tff(func_def_821,type,
    bot_bo4581812875773903977et_nat: set_Pr1106803562331729365et_nat ).

tff(func_def_822,type,
    bot_bo997066620442918259t_bool: set_Pr2055239900342597383t_bool ).

tff(func_def_823,type,
    bot_bo3957492148770167129t_unit: set_Product_unit ).

tff(func_def_824,type,
    bot_bot_set_rat: set_rat ).

tff(func_def_825,type,
    bot_bo9204850693367297629nteger: set_set_Code_integer ).

tff(func_def_826,type,
    bot_bot_set_set_bool: set_set_bool ).

tff(func_def_827,type,
    bot_bot_set_set_int: set_set_int ).

tff(func_def_828,type,
    bot_bot_set_set_nat: set_set_nat ).

tff(func_def_829,type,
    bot_bo6284674557190688313t_unit: set_set_Product_unit ).

tff(func_def_830,type,
    bot_bo3551000224383901978t_bool: set_se2501078297044592302t_bool ).

tff(func_def_831,type,
    bot_bo2714889297266208186t_bool: set_fu6080891106736489294t_bool ).

tff(func_def_832,type,
    bot_bo4756488196683355415l_bool: fun_bool_bool ).

tff(func_def_833,type,
    bot_bot_fun_int_bool: fun_int_bool ).

tff(func_def_834,type,
    bot_bot_fun_nat_bool: fun_nat_bool ).

tff(func_def_835,type,
    bot_bo3399465987367024218t_bool: fun_Pr6001797050664311790t_bool ).

tff(func_def_836,type,
    bot_bo1638700793298683297t_bool: fun_Pr1572506220757514509t_bool ).

tff(func_def_837,type,
    bot_bo8489179610771909376l_bool: fun_fu9160419385450930796l_bool ).

tff(func_def_838,type,
    ord_less_assn: fun_as7903617535776176121n_bool ).

tff(func_def_839,type,
    ord_le6747313008572928689nteger: fun_Co8310303586393106575r_bool ).

tff(func_def_840,type,
    ord_le5570908160329646204atural: fun_Co9170264581657726457l_bool ).

tff(func_def_841,type,
    ord_less_filter_nat: fun_fi5759838706352575625t_bool ).

tff(func_def_842,type,
    ord_less_bool: fun_bo1841576699660343469l_bool ).

tff(func_def_843,type,
    ord_less_int: fun_int_fun_int_bool ).

tff(func_def_844,type,
    ord_less_nat: fun_nat_fun_nat_bool ).

tff(func_def_845,type,
    ord_le361264281704409273t_unit: fun_Pr5562079387306038061t_bool ).

tff(func_def_846,type,
    ord_less_rat: fun_rat_fun_rat_bool ).

tff(func_def_847,type,
    ord_le1307284697595431911nteger: fun_se4340818509347730467r_bool ).

tff(func_def_848,type,
    ord_less_set_bool: fun_se7834784120450421933l_bool ).

tff(func_def_849,type,
    ord_less_set_int: fun_se6049520964208396421t_bool ).

tff(func_def_850,type,
    ord_less_set_nat: fun_se707272970763642173t_bool ).

tff(func_def_851,type,
    ord_le8056459307392131481t_unit: fun_se3369753059466909485t_bool ).

tff(func_def_852,type,
    ord_le3815294503984575994t_bool: set_fu6080891106736489294t_bool > fun_se7275083947436752652l_bool ).

tff(func_def_853,type,
    ord_le4952525218497822362t_bool: fun_fu7365307207611327597l_bool ).

tff(func_def_854,type,
    ord_less_eq_assn: fun_as7903617535776176121n_bool ).

tff(func_def_855,type,
    ord_le3102999989581377725nteger: fun_Co8310303586393106575r_bool ).

tff(func_def_856,type,
    ord_le1926595141338095240atural: fun_Co9170264581657726457l_bool ).

tff(func_def_857,type,
    ord_le2510731241096832064er_nat: fun_fi5759838706352575625t_bool ).

tff(func_def_858,type,
    ord_less_eq_bool: fun_bo1841576699660343469l_bool ).

tff(func_def_859,type,
    ord_less_eq_int: fun_int_fun_int_bool ).

tff(func_def_860,type,
    ord_less_eq_nat: fun_nat_fun_nat_bool ).

tff(func_def_861,type,
    ord_le3221252021190050221t_unit: fun_Pr5562079387306038061t_bool ).

tff(func_def_862,type,
    ord_less_eq_rat: fun_rat_fun_rat_bool ).

tff(func_def_863,type,
    ord_le7084787975880047091nteger: set_Code_integer > fun_se2712834123562403997r_bool ).

tff(func_def_864,type,
    ord_less_eq_set_bool: fun_se7834784120450421933l_bool ).

tff(func_def_865,type,
    ord_less_eq_set_int: fun_se6049520964208396421t_bool ).

tff(func_def_866,type,
    ord_less_eq_set_nat: fun_se707272970763642173t_bool ).

tff(func_def_867,type,
    ord_le3507040750410214029t_unit: fun_se3369753059466909485t_bool ).

tff(func_def_868,type,
    ord_less_eq_set_rat: set_rat > fun_set_rat_bool ).

tff(func_def_869,type,
    ord_le387542735852657390t_bool: set_fu6080891106736489294t_bool > fun_se7275083947436752652l_bool ).

tff(func_def_870,type,
    ord_le2641096124239147918t_bool: fun_fu7365307207611327597l_bool ).

tff(func_def_871,type,
    ord_max_assn: assn > fun_assn_assn ).

tff(func_def_872,type,
    ord_max_Code_integer: fun_Co1981900195452921617nteger ).

tff(func_def_873,type,
    ord_max_Code_natural: ( code_natural * code_natural ) > code_natural ).

tff(func_def_874,type,
    ord_max_filter_nat: ( filter_nat * filter_nat ) > filter_nat ).

tff(func_def_875,type,
    ord_max_bool: fun_bo1841576699660343469l_bool ).

tff(func_def_876,type,
    ord_max_int: fun_int_fun_int_int ).

tff(func_def_877,type,
    ord_max_nat: fun_nat_fun_nat_nat ).

tff(func_def_878,type,
    ord_max_Product_unit: fun_Pr3553901264588531491t_unit ).

tff(func_def_879,type,
    ord_max_rat: rat > fun_rat_rat ).

tff(func_def_880,type,
    ord_max_set_bool: ( set_bool * set_bool ) > set_bool ).

tff(func_def_881,type,
    ord_max_set_int: ( set_int * set_int ) > set_int ).

tff(func_def_882,type,
    ord_max_set_nat: set_nat > fun_set_nat_set_nat ).

tff(func_def_883,type,
    ord_ma508538259134630082t_unit: ( set_Product_unit * set_Product_unit ) > set_Product_unit ).

tff(func_def_884,type,
    ord_ma9043802365772912675t_bool: ( set_fu6080891106736489294t_bool * set_fu6080891106736489294t_bool ) > set_fu6080891106736489294t_bool ).

tff(func_def_885,type,
    ord_min_nat: nat > fun_nat_nat ).

tff(func_def_886,type,
    ordering_top_assn: ( fun_as7903617535776176121n_bool * fun_as7903617535776176121n_bool ) > fun_assn_bool ).

tff(func_def_887,type,
    orderi3064931774899922600t_bool: ( fun_se7834784120450421933l_bool * fun_se7834784120450421933l_bool ) > fun_set_bool_bool ).

tff(func_def_888,type,
    ordering_top_set_int: ( fun_se6049520964208396421t_bool * fun_se6049520964208396421t_bool ) > fun_set_int_bool ).

tff(func_def_889,type,
    ordering_top_set_nat: ( fun_se707272970763642173t_bool * fun_se707272970763642173t_bool ) > fun_set_nat_bool ).

tff(func_def_890,type,
    orderi2935705153647960990t_unit: ( fun_se3369753059466909485t_bool * fun_se3369753059466909485t_bool ) > fun_se407542756755239981t_bool ).

tff(func_def_891,type,
    top_top_assn: assn ).

tff(func_def_892,type,
    top_top_filter_nat: filter_nat ).

tff(func_def_893,type,
    top_top_Product_unit: product_unit ).

tff(func_def_894,type,
    top_top_set_assn: set_assn ).

tff(func_def_895,type,
    top_to4645266643341252675nteger: set_Code_integer ).

tff(func_def_896,type,
    top_to9103716463852441742atural: set_Code_natural ).

tff(func_def_897,type,
    top_top_set_bool: set_bool ).

tff(func_def_898,type,
    top_top_set_int: set_int ).

tff(func_def_899,type,
    top_top_set_nat: set_nat ).

tff(func_def_900,type,
    top_to2363841527343591755nteger: set_Pr4811707699266497531nteger ).

tff(func_def_901,type,
    top_to4766545977596986581r_bool: set_Pr9123050470547338789r_bool ).

tff(func_def_902,type,
    top_to6270328743839206426er_int: set_Pr6496905503482889930er_int ).

tff(func_def_903,type,
    top_to8760411888770933182er_nat: set_Pr8986988648414616686er_nat ).

tff(func_def_904,type,
    top_to3244471725241573579t_unit: set_Pr4580871404036792859t_unit ).

tff(func_def_905,type,
    top_to2524957550908328808et_nat: set_Pr3948176798113811640et_nat ).

tff(func_def_906,type,
    top_to4366644338036079209nt_int: set_Pr958786334691620121nt_int ).

tff(func_def_907,type,
    top_to1996260823553986621t_unit: set_Product_unit ).

tff(func_def_908,type,
    top_top_set_rat: set_rat ).

tff(func_def_909,type,
    top_top_set_set_bool: set_set_bool ).

tff(func_def_910,type,
    top_top_set_set_int: set_set_int ).

tff(func_def_911,type,
    top_top_set_set_nat: set_set_nat ).

tff(func_def_912,type,
    top_to1767297665138865437t_unit: set_set_Product_unit ).

tff(func_def_913,type,
    top_to6338483527809315838t_bool: set_se2501078297044592302t_bool ).

tff(func_def_914,type,
    top_to805621317456759325nteger: set_fu5818728815147633517nteger ).

tff(func_def_915,type,
    top_to5841454426718376094t_bool: set_fu6080891106736489294t_bool ).

tff(func_def_916,type,
    top_to2579638579960263475l_bool: fun_bool_bool ).

tff(func_def_917,type,
    top_top_fun_int_bool: fun_int_bool ).

tff(func_def_918,type,
    top_top_fun_nat_bool: fun_nat_bool ).

tff(func_def_919,type,
    top_to8170862684255086910t_bool: fun_Pr6001797050664311790t_bool ).

tff(func_def_920,type,
    top_to5549055667950030781t_bool: fun_Pr1572506220757514509t_bool ).

tff(func_def_921,type,
    top_to1704150423392176412l_bool: fun_fu9160419385450930796l_bool ).

tff(func_def_922,type,
    power_power_assn: assn > fun_nat_assn ).

tff(func_def_923,type,
    power_8256067586552552935nteger: code_integer > fun_nat_Code_integer ).

tff(func_def_924,type,
    power_7079662738309270450atural: code_natural > fun_nat_Code_natural ).

tff(func_def_925,type,
    power_power_int: int > fun_nat_int ).

tff(func_def_926,type,
    power_power_nat: nat > fun_nat_nat ).

tff(func_def_927,type,
    power_power_rat: rat > fun_nat_rat ).

tff(func_def_928,type,
    produc1086072967326762835nteger: code_integer > fun_Co6597186368970283863nteger ).

tff(func_def_929,type,
    produc3574140220909816553atural: ( code_natural * code_natural ) > produc7822875418678951345atural ).

tff(func_def_930,type,
    produc6639722614265839536atural: code_natural > fun_Pr7769407664385210434atural ).

tff(func_def_931,type,
    produc8297744024737662807l_bool: bool > fun_bo8995055541810095699l_bool ).

tff(func_def_932,type,
    produc8871513391732212460ol_int: ( bool * int ) > produc5612625445546783218ol_int ).

tff(func_def_933,type,
    produc8874003862241262736ol_nat: bool > fun_na6010711327783111523ol_nat ).

tff(func_def_934,type,
    produc7559599926491750594et_nat: ( bool * produc3658429121746597890et_nat ) > produc4428605777065428680et_nat ).

tff(func_def_935,type,
    produc1468553612700602701t_unit: bool > fun_Pr5513535723070646483t_unit ).

tff(func_def_936,type,
    produc8256076736985659095t_unit: ( heap_e7401611519738050253t_unit * heap_e7401611519738050253t_unit ) > produc8126358835630522215t_unit ).

tff(func_def_937,type,
    produc7507926704131184380et_nat: heap_e7401611519738050253t_unit > fun_se1339536933736954245et_nat ).

tff(func_def_938,type,
    produc788913908665201810t_bool: int > fun_bo4568356210168345354t_bool ).

tff(func_def_939,type,
    product_Pair_int_int: int > fun_in4211310926729683942nt_int ).

tff(func_def_940,type,
    product_Pair_int_nat: int > fun_na3663551987197276902nt_nat ).

tff(func_def_941,type,
    produc550872421827702152t_unit: int > fun_Pr5318341826863983862t_unit ).

tff(func_def_942,type,
    produc3913204875133826030t_bool: nat > fun_bo5028639161814991974t_bool ).

tff(func_def_943,type,
    product_Pair_nat_int: ( nat * int ) > product_prod_nat_int ).

tff(func_def_944,type,
    product_Pair_nat_nat: nat > fun_na1476630412504255114at_nat ).

tff(func_def_945,type,
    produc3434450474625521892t_unit: nat > fun_Pr3763555631386913362t_unit ).

tff(func_def_946,type,
    produc8199053930788261021et_nat: ( produc3658429121746597890et_nat * produc3658429121746597890et_nat ) > produc8111630337999740517et_nat ).

tff(func_def_947,type,
    produc5287782204605463610et_nat: ( produc3658429121746597890et_nat * produc6108883039684432031et_nat ) > produc4587776716583620738et_nat ).

tff(func_def_948,type,
    produc6707599040008015891t_bool: ( produc3658429121746597890et_nat * fun_Pr6001797050664311790t_bool ) > produc2123963014314306273t_bool ).

tff(func_def_949,type,
    produc3646306378393792727nt_int: ( product_prod_int_int * product_prod_int_int ) > produc1219242969750017639nt_int ).

tff(func_def_950,type,
    produc8921240378546987991nt_nat: ( product_prod_int_nat * product_prod_int_nat ) > produc4806409095325742951nt_nat ).

tff(func_def_951,type,
    produc886916002739626967at_int: ( product_prod_nat_int * product_prod_nat_int ) > produc6495656768158660455at_int ).

tff(func_def_952,type,
    produc6161850002892822231at_nat: ( product_prod_nat_nat * product_prod_nat_nat ) > produc859450856879609959at_nat ).

tff(func_def_953,type,
    produc517181916536297274et_nat: ( produc6108883039684432031et_nat * produc3658429121746597890et_nat ) > produc6036703516317769218et_nat ).

tff(func_def_954,type,
    produc6525134947082930135et_nat: ( produc6108883039684432031et_nat * produc6108883039684432031et_nat ) > produc586578377766392095et_nat ).

tff(func_def_955,type,
    produc4833666460671154870t_bool: ( produc6108883039684432031et_nat * fun_Pr6001797050664311790t_bool ) > produc6968460846966063236t_bool ).

tff(func_def_956,type,
    produc2636233771625430033et_nat: ( produc1542783094787327164et_nat * produc1542783094787327164et_nat ) > produc8012095931379219673et_nat ).

tff(func_def_957,type,
    produc8496743317383244513t_bool: product_unit > fun_bo7757639093933629149t_bool ).

tff(func_def_958,type,
    produc4800797859304479970it_int: ( product_unit * int ) > produc5646078835734834920it_int ).

tff(func_def_959,type,
    produc4803288329813530246it_nat: ( product_unit * nat ) > produc600557818389255820it_nat ).

tff(func_def_960,type,
    produc5692694829384537815t_unit: product_unit > fun_Pr9137895030342395229t_unit ).

tff(func_def_961,type,
    produc7443773368509356479nteger: ( set_Code_integer * set_Code_integer ) > produc6491284506569428743nteger ).

tff(func_def_962,type,
    produc3730513402428301143t_bool: ( set_bool * set_bool ) > produc6172120975061646567t_bool ).

tff(func_def_963,type,
    produc6363374080413544029et_int: ( set_int * set_int ) > produc2115011035271226405et_int ).

tff(func_def_964,type,
    produc2471974422597015918t_unit: ( set_nat * heap_e7401611519738050253t_unit ) > produc7348995623955488188t_unit ).

tff(func_def_965,type,
    produc4532415448927165861et_nat: ( set_nat * set_nat ) > produc7819656566062154093et_nat ).

tff(func_def_966,type,
    produc7269801343787132631t_unit: ( set_Product_unit * set_Product_unit ) > produc1357844946079266663t_unit ).

tff(func_def_967,type,
    produc8613085146020138263t_bool: ( set_fu6080891106736489294t_bool * set_fu6080891106736489294t_bool ) > produc1329698249991434023t_bool ).

tff(func_def_968,type,
    produc5041003464035795531nt_int: ( fun_int_int * product_prod_int_int ) > produc1306064898605085721nt_int ).

tff(func_def_969,type,
    produc6138086444679794087nt_int: ( fun_int_nat * product_prod_int_int ) > produc2403147879249084277nt_int ).

tff(func_def_970,type,
    produc6459464107890826479at_nat: ( fun_nat_int * product_prod_nat_nat ) > produc9072561841945455293at_nat ).

tff(func_def_971,type,
    produc7556547088534825035at_nat: ( fun_nat_nat * product_prod_nat_nat ) > produc946272785734678041at_nat ).

tff(func_def_972,type,
    produc8148480564485311129et_nat: fun_Pr6001797050664311790t_bool > fun_Pr761831339830696478et_nat ).

tff(func_def_973,type,
    produc3083477295402903094et_nat: fun_Pr6001797050664311790t_bool > fun_Pr8176305432000512344et_nat ).

tff(func_def_974,type,
    produc4314488481105410327t_bool: ( fun_Pr6001797050664311790t_bool * fun_Pr6001797050664311790t_bool ) > produc1469476007717053223t_bool ).

tff(func_def_975,type,
    produc6320545094140044552l_bool: ( set_bool * fun_bool_set_bool ) > set_Pr8621012493645324487l_bool ).

tff(func_def_976,type,
    produc6731234632239933691ol_int: ( set_bool * fun_bool_set_int ) > set_Pr4651914117858333608ol_int ).

tff(func_def_977,type,
    produc6733725102748983967ol_nat: ( set_bool * fun_bool_set_nat ) > set_Pr7141997262790060364ol_nat ).

tff(func_def_978,type,
    produc3579672662235560958t_unit: ( set_bool * fun_bo8182086032597355865t_unit ) > set_Pr1363446236920669885t_unit ).

tff(func_def_979,type,
    produc5260988393495149579et_nat: ( set_he8644174446132254637t_unit * fun_he8038253169496836892et_nat ) > set_Pr3948176798113811640et_nat ).

tff(func_def_980,type,
    produc7872007186027698849t_bool: ( set_int * fun_int_set_bool ) > set_Pr4221484567948663702t_bool ).

tff(func_def_981,type,
    produc1453890548195736866nt_int: ( set_int * fun_int_set_int ) > set_Pr958786334691620121nt_int ).

tff(func_def_982,type,
    produc1456381018704787142nt_nat: ( set_int * fun_int_set_nat ) > set_Pr3448869479623346877nt_nat ).

tff(func_def_983,type,
    produc2622961094310184599t_unit: ( set_int * fun_in4731230917697954842t_unit ) > set_Pr5889264611543340172t_unit ).

tff(func_def_984,type,
    produc1772926115641547261t_bool: ( set_nat * fun_nat_set_bool ) > set_Pr4681767519595310322t_bool ).

tff(func_def_985,type,
    produc454536836294682310at_int: ( set_nat * fun_nat_set_int ) > set_Pr7995236796853374141at_int ).

tff(func_def_986,type,
    produc457027306803732586at_nat: ( set_nat * fun_nat_set_nat ) > set_Pr1261947904930325089at_nat ).

tff(func_def_987,type,
    produc5506539147108004339t_unit: ( set_nat * fun_na896991816813928310t_unit ) > set_Pr4334478416066269672t_unit ).

tff(func_def_988,type,
    produc1741217535970883028t_bool: ( set_nat * fun_na5616424005362821463t_bool ) > set_Pr6237782094582346185t_bool ).

tff(func_def_989,type,
    produc1384490330063426962t_bool: ( set_Product_unit * fun_Pr6388117812002676717t_bool ) > set_Pr1252729530486308177t_bool ).

tff(func_def_990,type,
    produc6875377002296012693it_nat: ( set_Product_unit * fun_Pr1628945989756059814et_nat ) > set_Pr1763845938948868674it_nat ).

tff(func_def_991,type,
    produc6121607364029222536t_unit: ( set_Product_unit * fun_Pr3013102738158121955t_unit ) > set_Pr5094982260447487303t_unit ).

tff(func_def_992,type,
    produc4226038187728093814ol_nat: ( set_fu6080891106736489294t_bool * fun_fu8897467071111498631et_nat ) > set_Pr1200603583047724451ol_nat ).

tff(func_def_993,type,
    produc2058419309931285160et_nat: ( set_fu6080891106736489294t_bool * fun_fu1426818202555147193et_nat ) > set_Pr1106803562331729365et_nat ).

tff(func_def_994,type,
    produc4811001175792763205et_nat: ( set_fu6080891106736489294t_bool * fun_fu7547279164713276502et_nat ) > set_Pr9222568342844664434et_nat ).

tff(func_def_995,type,
    product_Unity: product_unit ).

tff(func_def_996,type,
    produc3195571438000033749nteger: fun_fu4800041728187187127nteger ).

tff(func_def_997,type,
    produc4172003873565521026et_nat: fun_he2331061685413951235t_unit > fun_Pr7091840695141096449et_nat ).

tff(func_def_998,type,
    produc7422730317258219nt_int: ( fun_he6078633327341457676it_int * produc2475246329834808232it_int ) > product_prod_int_int ).

tff(func_def_999,type,
    produc3346058198459025221et_nat: ( fun_he6078633327341457676it_int * produc3658429121746597890et_nat ) > produc2771989624626745363et_nat ).

tff(func_def_1000,type,
    produc8233931525780029747at_nat: ( fun_he1033112309995878576it_nat * produc6653097349344004940it_nat ) > product_prod_nat_nat ).

tff(func_def_1001,type,
    produc2974404638222180585et_nat: ( fun_he1033112309995878576it_nat * produc3658429121746597890et_nat ) > produc2400336064389900727et_nat ).

tff(func_def_1002,type,
    produc5625344772583728671et_nat: ( fun_he2597241314532250788t_bool * produc5697189838369619070et_nat ) > produc6108883039684432031et_nat ).

tff(func_def_1003,type,
    produc8096470467722739644et_nat: ( fun_he2597241314532250788t_bool * produc3632725533738474395et_nat ) > produc1542783094787327164et_nat ).

tff(func_def_1004,type,
    produc4473011741581716387et_nat: ( fun_he2597241314532250788t_bool * produc3658429121746597890et_nat ) > produc5766230810918527523et_nat ).

tff(func_def_1005,type,
    produc1158806734383251089it_int: ( fun_in7572449478177386490t_unit * product_prod_int_int ) > produc2475246329834808232it_int ).

tff(func_def_1006,type,
    produc7086134074927288299et_nat: ( fun_in7572449478177386490t_unit * produc2771989624626745363et_nat ) > produc3658429121746597890et_nat ).

tff(func_def_1007,type,
    produc2355237562570658114nt_int: fun_int_int > fun_Pr2478283820680522243nt_int ).

tff(func_def_1008,type,
    produc1355883850669603558at_int: ( fun_int_nat * product_prod_int_int ) > product_prod_nat_int ).

tff(func_def_1009,type,
    produc1358374321178653834at_nat: ( fun_int_nat * product_prod_int_nat ) > product_prod_nat_nat ).

tff(func_def_1010,type,
    produc6015144096337542322ol_int: ( fun_in3344392145425689243t_bool * product_prod_int_int ) > produc2721201938007151049ol_int ).

tff(func_def_1011,type,
    produc3371250803995147912et_nat: ( fun_in3344392145425689243t_bool * produc8065447618272157327et_nat ) > produc6108883039684432031et_nat ).

tff(func_def_1012,type,
    produc6073106243048822053et_nat: ( fun_in3344392145425689243t_bool * produc5182780385608778412et_nat ) > produc1542783094787327164et_nat ).

tff(func_def_1013,type,
    produc986720760941809198at_nat: ( fun_nat_nat * product_prod_nat_nat ) > product_prod_nat_nat ).

tff(func_def_1014,type,
    produc1398800744571576126et_nat: fun_fu7398481913972163267t_bool > fun_Pr5123258793648662203et_nat ).

tff(func_def_1015,type,
    produc9099070307318637531et_nat: ( fun_fu7398481913972163267t_bool * produc1542783094787327164et_nat ) > produc1542783094787327164et_nat ).

tff(func_def_1016,type,
    produc6499014454317279255nteger: fun_fu4800041728187187127nteger ).

tff(func_def_1017,type,
    produc5043883716779652157nteger: ( fun_Co1561183069634336733nteger * produc8923325533196201883nteger ) > produc8903623710181579841nteger ).

tff(func_def_1018,type,
    produc4463282112584876420nt_int: fun_int_int > fun_Pr2478283820680522243nt_int ).

tff(func_def_1019,type,
    produc3463928400683821864at_int: ( fun_int_nat * product_prod_int_int ) > product_prod_int_nat ).

tff(func_def_1020,type,
    produc3466418871192872140at_nat: ( fun_int_nat * product_prod_nat_int ) > product_prod_nat_nat ).

tff(func_def_1021,type,
    produc9121118195053341018at_int: ( fun_in4666789911842550827et_nat * product_prod_int_int ) > produc8065447618272157327et_nat ).

tff(func_def_1022,type,
    produc2442302602469955648t_bool: ( fun_in4666789911842550827et_nat * produc2721201938007151049ol_int ) > produc6108883039684432031et_nat ).

tff(func_def_1023,type,
    produc8119635392015881463at_int: ( fun_in8942784645934064712et_nat * product_prod_int_int ) > produc5182780385608778412et_nat ).

tff(func_def_1024,type,
    produc3399202515577287651t_bool: ( fun_in8942784645934064712et_nat * produc2721201938007151049ol_int ) > produc1542783094787327164et_nat ).

tff(func_def_1025,type,
    produc2122153897363312795t_unit: ( fun_int_set_nat * produc2475246329834808232it_int ) > produc3658429121746597890et_nat ).

tff(func_def_1026,type,
    produc1253519502038700766at_int: ( fun_int_set_nat * product_prod_int_int ) > produc2771989624626745363et_nat ).

tff(func_def_1027,type,
    produc3094765310956027504at_nat: ( fun_nat_nat * product_prod_nat_nat ) > product_prod_nat_nat ).

tff(func_def_1028,type,
    produc4553172647496837098t_bool: fun_Pr7091840695141096449et_nat > fun_Pr5123258793648662203et_nat ).

tff(func_def_1029,type,
    produc7350870306173613453t_bool: ( fun_Pr761831339830696478et_nat * produc6108883039684432031et_nat ) > produc1542783094787327164et_nat ).

tff(func_def_1030,type,
    produc120310738487204493t_bool: ( fun_Pr2210758139564844958et_nat * produc1542783094787327164et_nat ) > produc6108883039684432031et_nat ).

tff(func_def_1031,type,
    produc3745186969877276464t_bool: ( fun_Pr5123258793648662203et_nat * produc1542783094787327164et_nat ) > produc1542783094787327164et_nat ).

tff(func_def_1032,type,
    produc7345612820240450715t_unit: ( fun_set_nat_int * produc3658429121746597890et_nat ) > produc2475246329834808232it_int ).

tff(func_def_1033,type,
    produc2744032961877892830nt_int: ( fun_set_nat_int * produc2771989624626745363et_nat ) > product_prod_int_int ).

tff(func_def_1034,type,
    produc8442695800884449271t_unit: ( fun_set_nat_nat * produc3658429121746597890et_nat ) > produc6653097349344004940it_nat ).

tff(func_def_1035,type,
    produc1747169720485888550at_nat: ( fun_set_nat_nat * produc2400336064389900727et_nat ) > product_prod_nat_nat ).

tff(func_def_1036,type,
    produc7441988914112407621t_unit: ( fun_se1339536933736954245et_nat * produc3658429121746597890et_nat ) > produc5697189838369619070et_nat ).

tff(func_def_1037,type,
    produc8076255751964407142t_bool: ( fun_se1339536933736954245et_nat * produc5766230810918527523et_nat ) > produc6108883039684432031et_nat ).

tff(func_def_1038,type,
    produc5423465569368613096t_unit: ( fun_se9066322626600930210et_nat * produc3658429121746597890et_nat ) > produc3632725533738474395et_nat ).

tff(func_def_1039,type,
    produc4120501078937169673t_bool: ( fun_se9066322626600930210et_nat * produc5766230810918527523et_nat ) > produc1542783094787327164et_nat ).

tff(func_def_1040,type,
    produc3286488329990770625t_unit: fun_set_nat_set_nat > fun_Pr7091840695141096449et_nat ).

tff(func_def_1041,type,
    produc1098242077707422797t_bool: fun_Pr6001797050664311790t_bool > fun_he7710493197641524256t_bool ).

tff(func_def_1042,type,
    produc8844785472727440050t_bool: fun_Pr803113274115125473t_bool > fun_int_fun_int_bool ).

tff(func_def_1043,type,
    produc16099832742472042t_bool: fun_Pr7757163693017731481t_bool > fun_nat_fun_nat_bool ).

tff(func_def_1044,type,
    produc2846001210079453936t_bool: fun_Pr3073222722562426257t_bool > fun_fu7398481913972163267t_bool ).

tff(func_def_1045,type,
    produc3943886704551727507t_bool: fun_Pr229822445725053876t_bool > fun_fu5758690788630904038t_bool ).

tff(func_def_1046,type,
    produc1802105962441033582nteger: fun_Co8499238673658658103nteger > fun_fu4800041728187187127nteger ).

tff(func_def_1047,type,
    produc4699376468482697800nteger: ( fun_Co8499238673658658103nteger * fun_Co1981900195452921617nteger ) > fun_Pr4857721227833164125nteger ).

tff(func_def_1048,type,
    produc2859928589492945394l_bool: ( fun_Co8499238673658658103nteger * fun_bool_bool ) > fun_Pr6272012943078625115r_bool ).

tff(func_def_1049,type,
    produc2809782983215034769ol_int: ( fun_Co8499238673658658103nteger * fun_bool_int ) > fun_Pr7089079042434777108er_int ).

tff(func_def_1050,type,
    produc2812273453724085045ol_nat: ( fun_Co8499238673658658103nteger * fun_bool_nat ) > fun_Pr355790150511728056er_nat ).

tff(func_def_1051,type,
    produc2641450845970406120t_unit: ( fun_Co8499238673658658103nteger * fun_bo1891391082718140537t_unit ) > fun_Pr8543155049374816593t_unit ).

tff(func_def_1052,type,
    produc1622059938646302433nteger: ( fun_Co8499238673658658103nteger * fun_nat_Code_integer ) > fun_Pr6172722220446688464nteger ).

tff(func_def_1053,type,
    produc446268513798272124t_bool: ( fun_Co8499238673658658103nteger * fun_Pr1572506220757514509t_bool ) > fun_Pr8052405283675813457r_bool ).

tff(func_def_1054,type,
    produc4019910415967566983it_int: ( fun_Co8499238673658658103nteger * fun_Product_unit_int ) > fun_Pr4783509227833883550er_int ).

tff(func_def_1055,type,
    produc4022400886476617259it_nat: ( fun_Co8499238673658658103nteger * fun_Product_unit_nat ) > fun_Pr7273592372765610306er_nat ).

tff(func_def_1056,type,
    produc3346700480963112818t_unit: ( fun_Co8499238673658658103nteger * fun_Pr2191293291710260995t_unit ) > fun_Pr70611744221503047t_unit ).

tff(func_def_1057,type,
    produc8108006236828656200nteger: ( fun_Co1981900195452921617nteger * fun_Co8499238673658658103nteger ) > fun_Pr5458885100655985245nteger ).

tff(func_def_1058,type,
    produc8119697944725045538nteger: ( fun_Co1981900195452921617nteger * fun_Co1981900195452921617nteger ) > fun_Pr9027168029485879607nteger ).

tff(func_def_1059,type,
    produc3249263839394015674nteger: ( fun_Co1561183069634336733nteger * fun_Co1561183069634336733nteger ) > fun_Pr3001699213897242575nteger ).

tff(func_def_1060,type,
    produc2109198901873568148nteger: ( fun_Co1561183069634336733nteger * fun_fu4800041728187187127nteger ) > fun_Pr8555020547098233205nteger ).

tff(func_def_1061,type,
    produc8234977478398262212et_nat: ( fun_he2331061685413951235t_unit * fun_set_nat_set_nat ) > fun_Pr7091840695141096449et_nat ).

tff(func_def_1062,type,
    produc5973434381925408567at_int: ( fun_he6078633327341457676it_int * fun_set_nat_int ) > fun_Pr5141187847748131984nt_int ).

tff(func_def_1063,type,
    produc8285742784527409791at_nat: ( fun_he1033112309995878576it_nat * fun_set_nat_nat ) > fun_Pr5444349417986836952at_nat ).

tff(func_def_1064,type,
    produc3152090231653401565et_nat: ( fun_in7572449478177386490t_unit * fun_int_set_nat ) > fun_Pr2304087830868576334et_nat ).

tff(func_def_1065,type,
    produc6036585564866528938nt_int: ( fun_int_int * fun_int_int ) > fun_Pr2478283820680522243nt_int ).

tff(func_def_1066,type,
    produc5667422475138734578nt_nat: ( fun_int_nat * fun_int_nat ) > fun_Pr2781445390919227211at_nat ).

tff(func_def_1067,type,
    produc2064153442785501et_nat: ( fun_na8669532458821385046t_unit * fun_nat_set_nat ) > fun_Pr21663490405640598et_nat ).

tff(func_def_1068,type,
    produc7347049785058425330at_int: ( fun_nat_int * fun_nat_int ) > fun_Pr1815330137571409595nt_int ).

tff(func_def_1069,type,
    produc6977886695330630970at_nat: ( fun_nat_nat * fun_nat_nat ) > fun_Pr2118491707810114563at_nat ).

tff(func_def_1070,type,
    produc6269609936691036794et_nat: ( fun_na589949626680601079t_bool * fun_na1841593615831545295et_nat ) > fun_Pr4213701301278458035et_nat ).

tff(func_def_1071,type,
    produc1996466970500618900nteger: ( fun_fu4800041728187187127nteger * fun_Co1561183069634336733nteger ) > fun_Pr6127221218041104501nteger ).

tff(func_def_1072,type,
    produc7836332429974410862nteger: ( fun_fu4800041728187187127nteger * fun_fu4800041728187187127nteger ) > fun_Pr7301545579335958043nteger ).

tff(func_def_1073,type,
    produc9129810320891739420at_nat: ( fun_fu7614330534255538897ol_nat * fun_Pr6529957239379720399at_nat ) > fun_Pr5350199696774050811at_nat ).

tff(func_def_1074,type,
    produc1553301316500091796er_int: ( fun_Co1092983284983208416er_int * produc8923325533196201883nteger ) > int ).

tff(func_def_1075,type,
    produc6916734918728496179nteger: ( fun_Co2470855966376689427nteger * produc8923325533196201883nteger ) > produc8923325533196201883nteger ).

tff(func_def_1076,type,
    produc8560705615207772305t_bool: fun_int_fun_int_bool > fun_Pr803113274115125473t_bool ).

tff(func_def_1077,type,
    produc4245557441103728435nt_int: ( fun_in1696471567231710611nt_int * product_prod_int_int ) > product_prod_int_int ).

tff(func_def_1078,type,
    produc2626176000494625587at_nat: fun_na4138050610385705875at_nat > fun_Pr2118491707810114563at_nat ).

tff(func_def_1079,type,
    produc4528391901023682385at_nat: fun_na1668100129766719005at_nat > fun_Pr2477239776880934807at_nat ).

tff(func_def_1080,type,
    produc8508995932063986495nteger: fun_Pr6596356882939945227nteger ).

tff(func_def_1081,type,
    produc8632663045010267826er_nat: fun_Pr5940403383236205310nteger ).

tff(func_def_1082,type,
    produc1824681642469235216et_nat: fun_Pr7672403737682949028t_unit ).

tff(func_def_1083,type,
    product_fst_int_int: fun_Pr982841511892225912nt_int ).

tff(func_def_1084,type,
    produc8897218493789310642nteger: fun_Pr7395487658768111217er_nat ).

tff(func_def_1085,type,
    product_fst_nat_nat: fun_Pr2602117396471556196at_nat ).

tff(func_def_1086,type,
    produc4702619883799410471t_bool: produc2123963014314306273t_bool > produc3658429121746597890et_nat ).

tff(func_def_1087,type,
    produc4479498511327684042t_bool: produc6968460846966063236t_bool > produc6108883039684432031et_nat ).

tff(func_def_1088,type,
    produc6012101397789842562t_unit: produc7348995623955488188t_unit > set_nat ).

tff(func_def_1089,type,
    produc6143501408276705709et_nat: fun_Pr8311103421978789352t_bool ).

tff(func_def_1090,type,
    produc2729309346059432266et_nat: fun_Pr6052842969455678475t_bool ).

tff(func_def_1091,type,
    produc6174133586879617921nteger: fun_Pr6596356882939945227nteger ).

tff(func_def_1092,type,
    produc1517335558169710324er_nat: fun_Pr1791375292569619697at_nat ).

tff(func_def_1093,type,
    produc8586169260539613262et_nat: fun_Pr3337834798857116037et_nat ).

tff(func_def_1094,type,
    product_snd_int_int: fun_Pr982841511892225912nt_int ).

tff(func_def_1095,type,
    produc1781891006948753140nteger: fun_Pr4523587930069869694nteger ).

tff(func_def_1096,type,
    product_snd_nat_nat: fun_Pr2602117396471556196at_nat ).

tff(func_def_1097,type,
    produc3714817162771972965t_bool: produc2123963014314306273t_bool > fun_Pr6001797050664311790t_bool ).

tff(func_def_1098,type,
    produc7765669131605903368t_bool: produc6968460846966063236t_bool > fun_Pr6001797050664311790t_bool ).

tff(func_def_1099,type,
    produc3550216979005444800t_unit: produc7348995623955488188t_unit > heap_e7401611519738050253t_unit ).

tff(func_def_1100,type,
    produc5155698687249268203et_nat: fun_Pr2210758139564844958et_nat ).

tff(func_def_1101,type,
    produc6015479966337651592et_nat: fun_Pr6859458860894228184et_nat ).

tff(func_def_1102,type,
    produc6300697153377358172et_nat: fun_Pr7214764501845804219t_unit ).

tff(func_def_1103,type,
    product_swap_int_int: fun_Pr2478283820680522243nt_int ).

tff(func_def_1104,type,
    product_swap_nat_nat: fun_Pr2118491707810114563at_nat ).

tff(func_def_1105,type,
    produc1569431672699644531t_bool: fun_Pr3659704428484505341et_nat ).

tff(func_def_1106,type,
    produc7539339683627046166t_bool: fun_Pr6535039171404285501et_nat ).

tff(func_def_1107,type,
    produc1264744871843189710t_unit: fun_Pr5504542249117545915et_nat ).

tff(func_def_1108,type,
    produc3010313197176939769et_nat: fun_Pr3712735747772465149t_bool ).

tff(func_def_1109,type,
    produc5789150518358794390et_nat: fun_Pr1766678018663252541t_bool ).

tff(func_def_1110,type,
    produc5538323210962509403atural: ( fun_Pr7769407664385210434atural * fun_Co1105491363547889651atural ) > fun_Pr7769407664385210434atural ).

tff(func_def_1111,type,
    product_Abs_unit: fun_bo1891391082718140537t_unit ).

tff(func_def_1112,type,
    product_Rep_unit: fun_Pr1572506220757514509t_bool ).

tff(func_def_1113,type,
    iterat8892046348760725948atural: ( code_natural * fun_Co1105491363547889651atural * code_natural ) > fun_Pr7769407664385210434atural ).

tff(func_def_1114,type,
    log: ( code_natural * code_natural ) > code_natural ).

tff(func_def_1115,type,
    minus_shift: ( code_natural * code_natural * code_natural ) > code_natural ).

tff(func_def_1116,type,
    next: fun_Pr7769407664385210434atural ).

tff(func_def_1117,type,
    range: code_natural > fun_Pr7769407664385210434atural ).

tff(func_def_1118,type,
    abs_Rat: fun_Pr1652463973008025892nt_rat ).

tff(func_def_1119,type,
    fract: int > fun_int_rat ).

tff(func_def_1120,type,
    rep_Rat: fun_ra4503298312962071866nt_int ).

tff(func_def_1121,type,
    normalize: product_prod_int_int > product_prod_int_int ).

tff(func_def_1122,type,
    pcr_rat: fun_Pr3145601080792579042t_bool ).

tff(func_def_1123,type,
    positive: fun_rat_bool ).

tff(func_def_1124,type,
    quotient_of: rat > product_prod_int_int ).

tff(func_def_1125,type,
    ratrel: fun_Pr3099820731930151597t_bool ).

tff(func_def_1126,type,
    domain_bool_bool: set_Pr8621012493645324487l_bool > set_bool ).

tff(func_def_1127,type,
    domain2007548326387822151et_nat: set_Pr3948176798113811640et_nat > set_he8644174446132254637t_unit ).

tff(func_def_1128,type,
    domain_int_int: set_Pr958786334691620121nt_int > set_int ).

tff(func_def_1129,type,
    domain_nat_nat: set_Pr1261947904930325089at_nat > set_nat ).

tff(func_def_1130,type,
    domain4292024440186670924t_unit: set_Pr5094982260447487303t_unit > set_Product_unit ).

tff(func_def_1131,type,
    domain8350206992085231844et_nat: set_Pr1106803562331729365et_nat > set_fu6080891106736489294t_bool ).

tff(func_def_1132,type,
    domain8541000962756283265et_nat: set_Pr9222568342844664434et_nat > set_fu6080891106736489294t_bool ).

tff(func_def_1133,type,
    domain5739608120770473868t_bool: set_Pr2055239900342597383t_bool > set_fu6080891106736489294t_bool ).

tff(func_def_1134,type,
    field_Code_integer: set_Pr4811707699266497531nteger > set_Code_integer ).

tff(func_def_1135,type,
    field_bool: set_Pr8621012493645324487l_bool > set_bool ).

tff(func_def_1136,type,
    field_int: set_Pr958786334691620121nt_int > set_int ).

tff(func_def_1137,type,
    field_nat: set_Pr1261947904930325089at_nat > set_nat ).

tff(func_def_1138,type,
    field_Product_unit: set_Pr5094982260447487303t_unit > set_Product_unit ).

tff(func_def_1139,type,
    field_8187305936632580411t_bool: set_Pr2055239900342597383t_bool > set_fu6080891106736489294t_bool ).

tff(func_def_1140,type,
    id_bool2: set_Pr8621012493645324487l_bool ).

tff(func_def_1141,type,
    id_int: set_Pr958786334691620121nt_int ).

tff(func_def_1142,type,
    id_nat: set_Pr1261947904930325089at_nat ).

tff(func_def_1143,type,
    id_Product_unit: set_Pr5094982260447487303t_unit ).

tff(func_def_1144,type,
    id_fun5760546264671300938t_bool: set_Pr2055239900342597383t_bool ).

tff(func_def_1145,type,
    id_on_bool: set_bool > set_Pr8621012493645324487l_bool ).

tff(func_def_1146,type,
    id_on_int: set_int > set_Pr958786334691620121nt_int ).

tff(func_def_1147,type,
    id_on_nat: set_nat > set_Pr1261947904930325089at_nat ).

tff(func_def_1148,type,
    id_on_Product_unit: set_Product_unit > set_Pr5094982260447487303t_unit ).

tff(func_def_1149,type,
    id_on_3836558783290325131t_bool: set_fu6080891106736489294t_bool > set_Pr2055239900342597383t_bool ).

tff(func_def_1150,type,
    image_4147621952751189391nteger: ( set_Pr4811707699266497531nteger * set_Code_integer ) > set_Code_integer ).

tff(func_def_1151,type,
    image_bool_bool: ( set_Pr8621012493645324487l_bool * set_bool ) > set_bool ).

tff(func_def_1152,type,
    image_bool_int: ( set_Pr4651914117858333608ol_int * set_bool ) > set_int ).

tff(func_def_1153,type,
    image_bool_nat: ( set_Pr7141997262790060364ol_nat * set_bool ) > set_nat ).

tff(func_def_1154,type,
    image_2396624669204436361t_unit: ( set_Pr1363446236920669885t_unit * set_bool ) > set_Product_unit ).

tff(func_def_1155,type,
    image_3942343239045813184et_nat: ( set_Pr3948176798113811640et_nat * set_he8644174446132254637t_unit ) > set_set_nat ).

tff(func_def_1156,type,
    image_int_bool: ( set_Pr4221484567948663702t_bool * set_int ) > set_bool ).

tff(func_def_1157,type,
    image_int_int: ( set_Pr958786334691620121nt_int * set_int ) > set_int ).

tff(func_def_1158,type,
    image_int_nat: ( set_Pr3448869479623346877nt_nat * set_int ) > set_nat ).

tff(func_def_1159,type,
    image_1405326909533657676t_unit: ( set_Pr5889264611543340172t_unit * set_int ) > set_Product_unit ).

tff(func_def_1160,type,
    image_nat_bool: ( set_Pr4681767519595310322t_bool * set_nat ) > set_bool ).

tff(func_def_1161,type,
    image_nat_int: ( set_Pr7995236796853374141at_int * set_nat ) > set_int ).

tff(func_def_1162,type,
    image_nat_nat: set_Pr1261947904930325089at_nat > fun_set_nat_set_nat ).

tff(func_def_1163,type,
    image_4288904962331477416t_unit: ( set_Pr4334478416066269672t_unit * set_nat ) > set_Product_unit ).

tff(func_def_1164,type,
    image_201442337032302365t_bool: ( set_Pr1252729530486308177t_bool * set_Product_unit ) > set_bool ).

tff(func_def_1165,type,
    image_5655252347010435494it_int: ( set_Pr8497134830871917726it_int * set_Product_unit ) > set_int ).

tff(func_def_1166,type,
    image_5657742817519485770it_nat: ( set_Pr1763845938948868674it_nat * set_Product_unit ) > set_nat ).

tff(func_def_1167,type,
    image_8431784415008483091t_unit: ( set_Pr5094982260447487303t_unit * set_Product_unit ) > set_Product_unit ).

tff(func_def_1168,type,
    image_1188446502947019613et_nat: ( set_Pr1106803562331729365et_nat * set_fu6080891106736489294t_bool ) > set_Pr3948176798113811640et_nat ).

tff(func_def_1169,type,
    image_9003042220090100474et_nat: ( set_Pr9222568342844664434et_nat * set_fu6080891106736489294t_bool ) > set_Pr1106803562331729365et_nat ).

tff(func_def_1170,type,
    image_1743902880388821331t_bool: ( set_Pr2055239900342597383t_bool * set_fu6080891106736489294t_bool ) > set_fu6080891106736489294t_bool ).

tff(func_def_1171,type,
    range_1907724884897625393nteger: set_Pr4811707699266497531nteger > set_Code_integer ).

tff(func_def_1172,type,
    range_bool_bool: set_Pr8621012493645324487l_bool > set_bool ).

tff(func_def_1173,type,
    range_9132311542094983838et_nat: set_Pr3948176798113811640et_nat > set_set_nat ).

tff(func_def_1174,type,
    range_int_int: set_Pr958786334691620121nt_int > set_int ).

tff(func_def_1175,type,
    range_nat_nat: set_Pr1261947904930325089at_nat > set_nat ).

tff(func_def_1176,type,
    range_6617724647562260917t_unit: set_Pr5094982260447487303t_unit > set_Product_unit ).

tff(func_def_1177,type,
    range_5684814903401328699et_nat: set_Pr1106803562331729365et_nat > set_Pr3948176798113811640et_nat ).

tff(func_def_1178,type,
    range_3034193244984694232et_nat: set_Pr9222568342844664434et_nat > set_Pr1106803562331729365et_nat ).

tff(func_def_1179,type,
    range_8544432440397678581t_bool: set_Pr2055239900342597383t_bool > set_fu6080891106736489294t_bool ).

tff(func_def_1180,type,
    converse_bool_bool: set_Pr8621012493645324487l_bool > set_Pr8621012493645324487l_bool ).

tff(func_def_1181,type,
    conver7272282955447398104et_nat: set_Pr3948176798113811640et_nat > set_Pr4071100604818519410t_unit ).

tff(func_def_1182,type,
    converse_int_int: set_Pr958786334691620121nt_int > set_Pr958786334691620121nt_int ).

tff(func_def_1183,type,
    converse_nat_nat: set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat ).

tff(func_def_1184,type,
    conver1439581485417149423t_bool: set_Pr8919652553310308119t_bool > set_Pr1106803562331729365et_nat ).

tff(func_def_1185,type,
    conver5285643773689629330t_bool: set_Pr222142748458615354t_bool > set_Pr9222568342844664434et_nat ).

tff(func_def_1186,type,
    conver2495244158383847931t_unit: set_Pr5094982260447487303t_unit > set_Pr5094982260447487303t_unit ).

tff(func_def_1187,type,
    conver2236330673913229642t_unit: set_Pr4071100604818519410t_unit > set_Pr3948176798113811640et_nat ).

tff(func_def_1188,type,
    conver2880463009894444661et_nat: set_Pr1106803562331729365et_nat > set_Pr8919652553310308119t_bool ).

tff(func_def_1189,type,
    conver3535454608421377554et_nat: set_Pr9222568342844664434et_nat > set_Pr222142748458615354t_bool ).

tff(func_def_1190,type,
    conver7085299402765874235t_bool: set_Pr2055239900342597383t_bool > set_Pr2055239900342597383t_bool ).

tff(func_def_1191,type,
    inv_image_bool_bool: ( set_Pr8621012493645324487l_bool * fun_bool_bool ) > set_Pr8621012493645324487l_bool ).

tff(func_def_1192,type,
    inv_image_bool_nat: ( set_Pr8621012493645324487l_bool * fun_nat_bool ) > set_Pr1261947904930325089at_nat ).

tff(func_def_1193,type,
    inv_im6508561272348025608t_unit: ( set_Pr8621012493645324487l_bool * fun_Pr1572506220757514509t_bool ) > set_Pr5094982260447487303t_unit ).

tff(func_def_1194,type,
    inv_image_int_bool: ( set_Pr958786334691620121nt_int * fun_bool_int ) > set_Pr8621012493645324487l_bool ).

tff(func_def_1195,type,
    inv_image_int_int: ( set_Pr958786334691620121nt_int * fun_int_int ) > set_Pr958786334691620121nt_int ).

tff(func_def_1196,type,
    inv_image_int_nat: ( set_Pr958786334691620121nt_int * fun_nat_int ) > set_Pr1261947904930325089at_nat ).

tff(func_def_1197,type,
    inv_im4740476784543923469t_unit: ( set_Pr958786334691620121nt_int * fun_Product_unit_int ) > set_Pr5094982260447487303t_unit ).

tff(func_def_1198,type,
    inv_image_nat_bool: ( set_Pr1261947904930325089at_nat * fun_bool_nat ) > set_Pr8621012493645324487l_bool ).

tff(func_def_1199,type,
    inv_image_nat_int: ( set_Pr1261947904930325089at_nat * fun_int_nat ) > set_Pr958786334691620121nt_int ).

tff(func_def_1200,type,
    inv_image_nat_nat: ( set_Pr1261947904930325089at_nat * fun_nat_nat ) > set_Pr1261947904930325089at_nat ).

tff(func_def_1201,type,
    inv_im7624054837341743209t_unit: ( set_Pr1261947904930325089at_nat * fun_Product_unit_nat ) > set_Pr5094982260447487303t_unit ).

tff(func_def_1202,type,
    inv_im4313378940175891612t_bool: ( set_Pr5094982260447487303t_unit * fun_bo1891391082718140537t_unit ) > set_Pr8621012493645324487l_bool ).

tff(func_def_1203,type,
    inv_im8992892692529751563it_nat: ( set_Pr5094982260447487303t_unit * fun_nat_Product_unit ) > set_Pr1261947904930325089at_nat ).

tff(func_def_1204,type,
    inv_im8770536620514187154t_unit: ( set_Pr5094982260447487303t_unit * fun_Pr2191293291710260995t_unit ) > set_Pr5094982260447487303t_unit ).

tff(func_def_1205,type,
    relcom5967341424667970326l_bool: ( set_Pr8621012493645324487l_bool * set_Pr8621012493645324487l_bool ) > set_Pr8621012493645324487l_bool ).

tff(func_def_1206,type,
    relcom4930750947919833671et_nat: ( set_Pr1776176089890104647t_unit * set_Pr3948176798113811640et_nat ) > set_Pr3948176798113811640et_nat ).

tff(func_def_1207,type,
    relcom8881708762719574682et_nat: ( set_Pr3948176798113811640et_nat * set_Pr5488025237498180813et_nat ) > set_Pr3948176798113811640et_nat ).

tff(func_def_1208,type,
    relcomp_int_int_int: ( set_Pr958786334691620121nt_int * set_Pr958786334691620121nt_int ) > set_Pr958786334691620121nt_int ).

tff(func_def_1209,type,
    relcomp_nat_nat_nat: ( set_Pr1261947904930325089at_nat * set_Pr1261947904930325089at_nat ) > set_Pr1261947904930325089at_nat ).

tff(func_def_1210,type,
    relcom848357998638694028t_unit: ( set_Pr5094982260447487303t_unit * set_Pr5094982260447487303t_unit ) > set_Pr5094982260447487303t_unit ).

tff(func_def_1211,type,
    relcom4142086885341905398t_bool: ( set_Pr3642346839158376647t_bool * set_Pr3642346839158376647t_bool ) > set_Pr3642346839158376647t_bool ).

tff(func_def_1212,type,
    relcom4034950705519254697et_int: ( set_Pr2522554150109002629et_int * set_Pr2522554150109002629et_int ) > set_Pr2522554150109002629et_int ).

tff(func_def_1213,type,
    relcom236561585145426837et_nat: ( set_Pr5488025237498180813et_nat * set_Pr5488025237498180813et_nat ) > set_Pr5488025237498180813et_nat ).

tff(func_def_1214,type,
    relcom7108816970757792620t_unit: ( set_Pr3980508049012409671t_unit * set_Pr3980508049012409671t_unit ) > set_Pr3980508049012409671t_unit ).

tff(func_def_1215,type,
    relcom2841739825957463181t_bool: ( set_Pr6448005306607475463t_bool * set_Pr6448005306607475463t_bool ) > set_Pr6448005306607475463t_bool ).

tff(func_def_1216,type,
    relcom8813464206856145843et_nat: ( set_Pr1106803562331729365et_nat * set_Pr719794911490849221et_nat ) > set_Pr1106803562331729365et_nat ).

tff(func_def_1217,type,
    relcom2038520035179252048et_nat: ( set_Pr1106803562331729365et_nat * set_Pr8177988689565181538et_nat ) > set_Pr9222568342844664434et_nat ).

tff(func_def_1218,type,
    relcom6491291783964861520et_nat: ( set_Pr9222568342844664434et_nat * set_Pr8548855242995119074et_nat ) > set_Pr1106803562331729365et_nat ).

tff(func_def_1219,type,
    relcom686785440952083181et_nat: ( set_Pr9222568342844664434et_nat * set_Pr4255865656320958847et_nat ) > set_Pr9222568342844664434et_nat ).

tff(func_def_1220,type,
    relcom6284395807674586371et_nat: ( set_Pr2055239900342597383t_bool * set_Pr1106803562331729365et_nat ) > set_Pr1106803562331729365et_nat ).

tff(func_def_1221,type,
    relcom5015044397696803488et_nat: ( set_Pr2055239900342597383t_bool * set_Pr9222568342844664434et_nat ) > set_Pr9222568342844664434et_nat ).

tff(func_def_1222,type,
    relcom3715134684952364333t_bool: ( set_Pr2055239900342597383t_bool * set_Pr2055239900342597383t_bool ) > set_Pr2055239900342597383t_bool ).

tff(func_def_1223,type,
    algebr932160517623751201me_int: fun_int_fun_int_bool ).

tff(func_def_1224,type,
    algebr934650988132801477me_nat: fun_nat_fun_nat_bool ).

tff(func_def_1225,type,
    divide6298287555418463151nteger: fun_Co1981900195452921617nteger ).

tff(func_def_1226,type,
    divide5121882707175180666atural: ( code_natural * code_natural ) > code_natural ).

tff(func_def_1227,type,
    divide_divide_int: int > fun_int_int ).

tff(func_def_1228,type,
    divide_divide_nat: nat > fun_nat_nat ).

tff(func_def_1229,type,
    divide_divide_rat: rat > fun_rat_rat ).

tff(func_def_1230,type,
    dvd_dvd_assn: fun_as7903617535776176121n_bool ).

tff(func_def_1231,type,
    dvd_dvd_Code_integer: fun_Co8310303586393106575r_bool ).

tff(func_def_1232,type,
    dvd_dvd_Code_natural: fun_Co9170264581657726457l_bool ).

tff(func_def_1233,type,
    dvd_dvd_int: fun_int_fun_int_bool ).

tff(func_def_1234,type,
    dvd_dvd_nat: fun_nat_fun_nat_bool ).

tff(func_def_1235,type,
    dvd_dvd_rat: fun_rat_fun_rat_bool ).

tff(func_def_1236,type,
    modulo8411746178871703098atural: ( code_natural * code_natural ) > code_natural ).

tff(func_def_1237,type,
    modulo_modulo_int: int > fun_int_int ).

tff(func_def_1238,type,
    modulo_modulo_nat: nat > fun_nat_nat ).

tff(func_def_1239,type,
    zero_n356916108424825756nteger: fun_bo7282069421189217543nteger ).

tff(func_def_1240,type,
    zero_n2684676970156552555ol_int: fun_bool_int ).

tff(func_def_1241,type,
    zero_n2687167440665602831ol_nat: fun_bool_nat ).

tff(func_def_1242,type,
    collect_bool: fun_fu3299046182039849229t_bool ).

tff(func_def_1243,type,
    collect_int: fun_fu5472281516858659385et_int ).

tff(func_def_1244,type,
    collect_nat: fun_fu8153070577022650169et_nat ).

tff(func_def_1245,type,
    collect_Product_unit: fun_fu3586949539055599609t_unit ).

tff(func_def_1246,type,
    collec3007137136614167897t_bool: fun_fu5792599895934982715t_bool ).

tff(func_def_1247,type,
    pow_Code_integer: set_Code_integer > set_set_Code_integer ).

tff(func_def_1248,type,
    pow_bool: set_bool > set_set_bool ).

tff(func_def_1249,type,
    pow_int: set_int > set_set_int ).

tff(func_def_1250,type,
    pow_nat: set_nat > set_set_nat ).

tff(func_def_1251,type,
    pow_Product_unit: set_Product_unit > set_set_Product_unit ).

tff(func_def_1252,type,
    pow_set_nat: set_set_nat > set_set_set_nat ).

tff(func_def_1253,type,
    pow_fu3178971921707512971t_bool: set_fu6080891106736489294t_bool > set_se2501078297044592302t_bool ).

tff(func_def_1254,type,
    disjnt_bool: set_bool > fun_set_bool_bool ).

tff(func_def_1255,type,
    disjnt_int: set_int > fun_set_int_bool ).

tff(func_def_1256,type,
    disjnt_nat: fun_se707272970763642173t_bool ).

tff(func_def_1257,type,
    disjnt_Product_unit: set_Product_unit > fun_se407542756755239981t_bool ).

tff(func_def_1258,type,
    disjnt1226680400455718069t_bool: set_fu6080891106736489294t_bool > fun_se7275083947436752652l_bool ).

tff(func_def_1259,type,
    image_assn_assn: ( fun_assn_assn * set_assn ) > set_assn ).

tff(func_def_1260,type,
    image_5313747351268281471t_bool: ( fun_as4100195077546555551t_bool * set_assn ) > set_fu6080891106736489294t_bool ).

tff(func_def_1261,type,
    image_4470545334726330049nteger: fun_Co8499238673658658103nteger > fun_se1992738044240919715nteger ).

tff(func_def_1262,type,
    image_5882901355932267187r_bool: ( fun_Co8822979462182099027r_bool * set_Code_integer ) > set_bool ).

tff(func_def_1263,type,
    image_948535463418740880er_int: ( fun_Code_integer_int * set_Code_integer ) > set_int ).

tff(func_def_1264,type,
    image_951025933927791156er_nat: ( fun_Code_integer_nat * set_Code_integer ) > set_nat ).

tff(func_def_1265,type,
    image_8049062792287394871nteger: ( fun_Co6597186368970283863nteger * set_Code_integer ) > set_Pr4811707699266497531nteger ).

tff(func_def_1266,type,
    image_7250923904792228394er_nat: ( fun_Co9221593637010378er_nat * set_Code_integer ) > set_Pr8986988648414616686er_nat ).

tff(func_def_1267,type,
    image_3408592110290467754nteger: ( fun_Co2652536811680367946nteger * set_Code_integer ) > set_Pr2406931829603198446nteger ).

tff(func_def_1268,type,
    image_7182656606676592809t_unit: ( fun_Co1365676809456677961t_unit * set_Code_integer ) > set_Product_unit ).

tff(func_def_1269,type,
    image_66683616737445267t_bool: ( fun_Co5127707541723817779t_bool * set_Code_integer ) > set_set_bool ).

tff(func_def_1270,type,
    image_4651426196962995782et_int: ( fun_Co5817875961738342972et_int * set_Code_integer ) > set_set_int ).

tff(func_def_1271,type,
    image_8829277216472192490et_nat: ( fun_Co8307959106670069728et_nat * set_Code_integer ) > set_set_nat ).

tff(func_def_1272,type,
    image_5870443399019143561t_unit: ( fun_Co7675133579868055849t_unit * set_Code_integer ) > set_set_Product_unit ).

tff(func_def_1273,type,
    image_2716445779319712667nteger: ( fun_Co1981900195452921617nteger * set_Code_integer ) > set_fu5818728815147633517nteger ).

tff(func_def_1274,type,
    image_6215854944615398399al_nat: ( fun_Code_natural_nat * set_Code_natural ) > set_nat ).

tff(func_def_1275,type,
    image_2396201541268454703nteger: ( fun_bo7282069421189217543nteger * set_bool ) > set_Code_integer ).

tff(func_def_1276,type,
    image_5094746719472346546er_nat: ( fun_bool_filter_nat * set_bool ) > set_filter_nat ).

tff(func_def_1277,type,
    image_bool_bool2: ( fun_bool_bool * set_bool ) > set_bool ).

tff(func_def_1278,type,
    image_bool_int2: ( fun_bool_int * set_bool ) > set_int ).

tff(func_def_1279,type,
    image_bool_nat2: ( fun_bool_nat * set_bool ) > set_nat ).

tff(func_def_1280,type,
    image_7976495923358516156nteger: ( fun_bo430240058039468410nteger * set_bool ) > set_Pr2406931829603198446nteger ).

tff(func_def_1281,type,
    image_1582990181481852335at_nat: ( fun_bo8023800293961592301at_nat * set_bool ) > set_Pr1261947904930325089at_nat ).

tff(func_def_1282,type,
    image_1972640490412957627t_unit: ( fun_bo1891391082718140537t_unit * set_bool ) > set_Product_unit ).

tff(func_def_1283,type,
    image_8092506475140873829nteger: ( fun_bo8700639080905871165nteger * set_bool ) > set_set_Code_integer ).

tff(func_def_1284,type,
    image_bool_set_bool: ( fun_bool_set_bool * set_bool ) > set_set_bool ).

tff(func_def_1285,type,
    image_bool_set_int: ( fun_bool_set_int * set_bool ) > set_set_int ).

tff(func_def_1286,type,
    image_bool_set_nat: ( fun_bool_set_nat * set_bool ) > set_set_nat ).

tff(func_def_1287,type,
    image_5716905872021065883t_unit: ( fun_bo8182086032597355865t_unit * set_bool ) > set_set_Product_unit ).

tff(func_def_1288,type,
    image_1587234942943678608nteger: ( fun_int_Code_integer * set_int ) > set_Code_integer ).

tff(func_def_1289,type,
    image_int_filter_nat: ( fun_int_filter_nat * set_int ) > set_filter_nat ).

tff(func_def_1290,type,
    image_int_bool2: ( fun_int_bool * set_int ) > set_bool ).

tff(func_def_1291,type,
    image_int_int2: ( fun_int_int * set_int ) > set_int ).

tff(func_def_1292,type,
    image_int_nat2: ( fun_int_nat * set_int ) > set_nat ).

tff(func_def_1293,type,
    image_5846526143423701914t_unit: ( fun_int_Product_unit * set_int ) > set_Product_unit ).

tff(func_def_1294,type,
    image_75573793354812870nteger: ( fun_in6808926178784942396nteger * set_int ) > set_set_Code_integer ).

tff(func_def_1295,type,
    image_int_set_bool: ( fun_int_set_bool * set_int ) > set_set_bool ).

tff(func_def_1296,type,
    image_int_set_nat: ( fun_int_set_nat * set_int ) > set_set_nat ).

tff(func_def_1297,type,
    image_8658272795163236474t_unit: ( fun_in4731230917697954842t_unit * set_int ) > set_set_Product_unit ).

tff(func_def_1298,type,
    image_1215581382706833972nteger: fun_nat_Code_integer > fun_se5369538688796340886nteger ).

tff(func_def_1299,type,
    image_39176534463551487atural: ( fun_nat_Code_natural * set_nat ) > set_Code_natural ).

tff(func_def_1300,type,
    image_nat_filter_nat: ( fun_nat_filter_nat * set_nat ) > set_filter_nat ).

tff(func_def_1301,type,
    image_nat_bool2: ( fun_nat_bool * set_nat ) > set_bool ).

tff(func_def_1302,type,
    image_nat_int2: ( fun_nat_int * set_nat ) > set_int ).

tff(func_def_1303,type,
    image_nat_nat2: fun_nat_nat > fun_set_nat_set_nat ).

tff(func_def_1304,type,
    image_8730104196221521654t_unit: ( fun_nat_Product_unit * set_nat ) > set_Product_unit ).

tff(func_def_1305,type,
    image_2385391725447763818nteger: ( fun_na9118744110877893344nteger * set_nat ) > set_set_Code_integer ).

tff(func_def_1306,type,
    image_nat_set_bool: ( fun_nat_set_bool * set_nat ) > set_set_bool ).

tff(func_def_1307,type,
    image_nat_set_int: ( fun_nat_set_int * set_nat ) > set_set_int ).

tff(func_def_1308,type,
    image_nat_set_nat: fun_nat_set_nat > fun_se3362872515591026879et_nat ).

tff(func_def_1309,type,
    image_7178329752028323786at_nat: ( fun_na7044673412300895210at_nat * set_nat ) > set_se7855581050983116737at_nat ).

tff(func_def_1310,type,
    image_4824033694279209942t_unit: ( fun_na896991816813928310t_unit * set_nat ) > set_set_Product_unit ).

tff(func_def_1311,type,
    image_8418949820742212567t_bool: ( fun_na589949626680601079t_bool * set_nat ) > set_fu6080891106736489294t_bool ).

tff(func_def_1312,type,
    image_7082141833288935621nteger: ( fun_Pr5876161306168176259nteger * set_Pr4811707699266497531nteger ) > set_Pr4811707699266497531nteger ).

tff(func_def_1313,type,
    image_8486409145516457957r_bool: ( fun_Pr6272012943078625115r_bool * set_Pr9123050470547338789r_bool ) > set_Pr9123050470547338789r_bool ).

tff(func_def_1314,type,
    image_1826853802644733812er_int: ( fun_Pr7089079042434777108er_int * set_Pr9123050470547338789r_bool ) > set_Pr6496905503482889930er_int ).

tff(func_def_1315,type,
    image_6004704822153930520er_nat: ( fun_Pr355790150511728056er_nat * set_Pr9123050470547338789r_bool ) > set_Pr8986988648414616686er_nat ).

tff(func_def_1316,type,
    image_6361239878631892443t_unit: ( fun_Pr8543155049374816593t_unit * set_Pr9123050470547338789r_bool ) > set_Pr4580871404036792859t_unit ).

tff(func_def_1317,type,
    image_4921214744877245202nteger: ( fun_Pr6172722220446688464nteger * set_Pr8986988648414616686er_nat ) > set_Pr4811707699266497531nteger ).

tff(func_def_1318,type,
    image_1148090558870148059r_bool: ( fun_Pr8052405283675813457r_bool * set_Pr4580871404036792859t_unit ) > set_Pr9123050470547338789r_bool ).

tff(func_def_1319,type,
    image_4058522669889801726er_int: ( fun_Pr4783509227833883550er_int * set_Pr4580871404036792859t_unit ) > set_Pr6496905503482889930er_int ).

tff(func_def_1320,type,
    image_8236373689398998434er_nat: ( fun_Pr7273592372765610306er_nat * set_Pr4580871404036792859t_unit ) > set_Pr8986988648414616686er_nat ).

tff(func_def_1321,type,
    image_3456600171786721233t_unit: ( fun_Pr70611744221503047t_unit * set_Pr4580871404036792859t_unit ) > set_Pr4580871404036792859t_unit ).

tff(func_def_1322,type,
    image_6824039242672219652t_unit: ( fun_Pr7672403737682949028t_unit * set_Pr3948176798113811640et_nat ) > set_he8644174446132254637t_unit ).

tff(func_def_1323,type,
    image_7426123528223433739et_nat: ( fun_Pr7091840695141096449et_nat * set_Pr3948176798113811640et_nat ) > set_Pr3948176798113811640et_nat ).

tff(func_def_1324,type,
    image_4579277974391593584nt_int: ( fun_Pr5141187847748131984nt_int * set_Pr3948176798113811640et_nat ) > set_Pr958786334691620121nt_int ).

tff(func_def_1325,type,
    image_7757775281999735736at_nat: ( fun_Pr5444349417986836952at_nat * set_Pr3948176798113811640et_nat ) > set_Pr1261947904930325089at_nat ).

tff(func_def_1326,type,
    image_1893317993577548229t_unit: ( fun_Pr7214764501845804219t_unit * set_Pr3948176798113811640et_nat ) > set_Pr4071100604818519410t_unit ).

tff(func_def_1327,type,
    image_6088997261112373647et_nat: ( fun_Pr3337834798857116037et_nat * set_Pr3948176798113811640et_nat ) > set_set_nat ).

tff(func_def_1328,type,
    image_5042161079198086560nt_int: ( fun_Pr982841511892225912nt_int * set_Pr958786334691620121nt_int ) > set_int ).

tff(func_def_1329,type,
    image_2127501072796355446et_nat: ( fun_Pr2304087830868576334et_nat * set_Pr958786334691620121nt_int ) > set_Pr3948176798113811640et_nat ).

tff(func_def_1330,type,
    image_2653370878348428101nt_int: ( fun_Pr2478283820680522243nt_int * set_Pr958786334691620121nt_int ) > set_Pr958786334691620121nt_int ).

tff(func_def_1331,type,
    image_5831868185956570253at_nat: ( fun_Pr2781445390919227211at_nat * set_Pr958786334691620121nt_int ) > set_Pr1261947904930325089at_nat ).

tff(func_def_1332,type,
    image_2486076414777270412at_nat: ( fun_Pr2602117396471556196at_nat * set_Pr1261947904930325089at_nat ) > set_nat ).

tff(func_def_1333,type,
    image_9068448769188195518et_nat: ( fun_Pr21663490405640598et_nat * set_Pr1261947904930325089at_nat ) > set_Pr3948176798113811640et_nat ).

tff(func_def_1334,type,
    image_1990417195239315453nt_int: ( fun_Pr1815330137571409595nt_int * set_Pr1261947904930325089at_nat ) > set_Pr958786334691620121nt_int ).

tff(func_def_1335,type,
    image_5168914502847457605at_nat: ( fun_Pr2118491707810114563at_nat * set_Pr1261947904930325089at_nat ) > set_Pr1261947904930325089at_nat ).

tff(func_def_1336,type,
    image_3832298353895436635et_nat: ( fun_Pr4213701301278458035et_nat * set_Pr1261947904930325089at_nat ) > set_Pr1106803562331729365et_nat ).

tff(func_def_1337,type,
    image_390886273792684935et_nat: ( fun_Pr3659704428484505341et_nat * set_Pr8919652553310308119t_bool ) > set_Pr1106803562331729365et_nat ).

tff(func_def_1338,type,
    image_4084809120055183175et_nat: ( fun_Pr6535039171404285501et_nat * set_Pr222142748458615354t_bool ) > set_Pr9222568342844664434et_nat ).

tff(func_def_1339,type,
    image_5838825082199883205et_nat: ( fun_Pr5504542249117545915et_nat * set_Pr4071100604818519410t_unit ) > set_Pr3948176798113811640et_nat ).

tff(func_def_1340,type,
    image_15419893562553512et_nat: ( fun_Pr2210758139564844958et_nat * set_Pr1106803562331729365et_nat ) > set_Pr3948176798113811640et_nat ).

tff(func_def_1341,type,
    image_1239282283672834267at_nat: ( fun_Pr5350199696774050811at_nat * set_Pr1106803562331729365et_nat ) > set_Pr1261947904930325089at_nat ).

tff(func_def_1342,type,
    image_7092892650441491847t_bool: ( fun_Pr3712735747772465149t_bool * set_Pr1106803562331729365et_nat ) > set_Pr8919652553310308119t_bool ).

tff(func_def_1343,type,
    image_2484015053943024840t_bool: ( fun_Pr8311103421978789352t_bool * set_Pr1106803562331729365et_nat ) > set_fu6080891106736489294t_bool ).

tff(func_def_1344,type,
    image_4519179277024159559t_bool: ( fun_Pr1766678018663252541t_bool * set_Pr9222568342844664434et_nat ) > set_Pr222142748458615354t_bool ).

tff(func_def_1345,type,
    image_822181409742690402et_nat: ( fun_Pr6859458860894228184et_nat * set_Pr9222568342844664434et_nat ) > set_Pr1106803562331729365et_nat ).

tff(func_def_1346,type,
    image_6195380072309814763t_bool: ( fun_Pr6052842969455678475t_bool * set_Pr9222568342844664434et_nat ) > set_fu6080891106736489294t_bool ).

tff(func_def_1347,type,
    image_3815118110082124069nteger: ( fun_Pr1820225556744648189nteger * set_Product_unit ) > set_Code_integer ).

tff(func_def_1348,type,
    image_1853478764106424488er_nat: ( fun_Pr566567543205111936er_nat * set_Product_unit ) > set_filter_nat ).

tff(func_def_1349,type,
    image_9000830195095599439t_bool: ( fun_Pr1572506220757514509t_bool * set_Product_unit ) > set_bool ).

tff(func_def_1350,type,
    image_873079544045703924it_int: ( fun_Product_unit_int * set_Product_unit ) > set_int ).

tff(func_def_1351,type,
    image_875570014554754200it_nat: ( fun_Product_unit_nat * set_Product_unit ) > set_nat ).

tff(func_def_1352,type,
    image_8089323762101378259nteger: ( fun_Pr864343514034809617nteger * set_Product_unit ) > set_Pr4811707699266497531nteger ).

tff(func_def_1353,type,
    image_8789315437038609094er_nat: ( fun_Pr4463473013420618628er_nat * set_Product_unit ) > set_Pr8986988648414616686er_nat ).

tff(func_def_1354,type,
    image_4103462098156874993nt_int: ( fun_Pr6733608168372577327nt_int * set_Product_unit ) > set_Pr958786334691620121nt_int ).

tff(func_def_1355,type,
    image_4946983642536848454nteger: ( fun_Pr7106788231463976196nteger * set_Product_unit ) > set_Pr2406931829603198446nteger ).

tff(func_def_1356,type,
    image_7281959405765017145at_nat: ( fun_Pr7036769738611282295at_nat * set_Product_unit ) > set_Pr1261947904930325089at_nat ).

tff(func_def_1357,type,
    image_405062704495631173t_unit: ( fun_Pr2191293291710260995t_unit * set_Product_unit ) > set_Product_unit ).

tff(func_def_1358,type,
    image_4571654851662262875nteger: ( fun_Pr1789781366282006579nteger * set_Product_unit ) > set_set_Code_integer ).

tff(func_def_1359,type,
    image_4056609998434180143t_bool: ( fun_Pr6388117812002676717t_bool * set_Product_unit ) > set_set_bool ).

tff(func_def_1360,type,
    image_3995998972318789802et_int: ( fun_Pr8362234881679108866et_int * set_Product_unit ) > set_set_int ).

tff(func_def_1361,type,
    image_8173849991827986510et_nat: ( fun_Pr1628945989756059814et_nat * set_Product_unit ) > set_set_nat ).

tff(func_def_1362,type,
    image_7778121751606633509t_unit: ( fun_Pr3013102738158121955t_unit * set_Product_unit ) > set_set_Product_unit ).

tff(func_def_1363,type,
    image_rat_rat: ( fun_rat_rat * set_rat ) > set_rat ).

tff(func_def_1364,type,
    image_6270750266955655469nteger: ( fun_se1992738044240919715nteger * set_set_Code_integer ) > set_set_Code_integer ).

tff(func_def_1365,type,
    image_6568689345319389125t_bool: ( fun_se1093428521897753731t_bool * set_set_bool ) > set_set_bool ).

tff(func_def_1366,type,
    image_524474410958335435et_int: ( fun_set_int_set_int * set_set_int ) > set_set_int ).

tff(func_def_1367,type,
    image_set_nat_nat: ( fun_set_nat_nat * set_set_nat ) > set_nat ).

tff(func_def_1368,type,
    image_6916300684244607776nteger: ( fun_se5369538688796340886nteger * set_set_nat ) > set_set_Code_integer ).

tff(func_def_1369,type,
    image_7916887816326733075et_nat: ( fun_set_nat_set_nat * set_set_nat ) > set_set_nat ).

tff(func_def_1370,type,
    image_6725021117256019401et_nat: ( fun_se3362872515591026879et_nat * set_set_nat ) > set_set_set_nat ).

tff(func_def_1371,type,
    image_4019945301284682565t_unit: ( fun_se1968678328126148355t_unit * set_set_Product_unit ) > set_set_Product_unit ).

tff(func_def_1372,type,
    image_6390466607738713477t_bool: ( fun_se973636082235158211t_bool * set_se2501078297044592302t_bool ) > set_se2501078297044592302t_bool ).

tff(func_def_1373,type,
    image_132342077907190253t_bool: ( fun_fu3299046182039849229t_bool * set_fun_bool_bool ) > set_set_bool ).

tff(func_def_1374,type,
    image_6353997071739284193et_int: ( fun_fu5472281516858659385et_int * set_fun_int_bool ) > set_set_int ).

tff(func_def_1375,type,
    image_1499181969625969121et_nat: ( fun_fu8153070577022650169et_nat * set_fun_nat_bool ) > set_set_nat ).

tff(func_def_1376,type,
    image_7554909001205278673l_assn: ( fun_fu1264473476461866025l_assn * set_fu6080891106736489294t_bool ) > set_assn ).

tff(func_def_1377,type,
    image_1680398435644647545ol_nat: ( fun_fu7614330534255538897ol_nat * set_fu6080891106736489294t_bool ) > set_nat ).

tff(func_def_1378,type,
    image_600874498047851172t_unit: ( fun_fu6572814390356972386t_unit * set_fu6080891106736489294t_bool ) > set_Product_unit ).

tff(func_def_1379,type,
    image_8532519385820612156nteger: ( fun_fu5184991215612278548nteger * set_fu6080891106736489294t_bool ) > set_set_Code_integer ).

tff(func_def_1380,type,
    image_6050624917123641391et_nat: ( fun_fu8897467071111498631et_nat * set_fu6080891106736489294t_bool ) > set_set_nat ).

tff(func_def_1381,type,
    image_5973580348012401029t_bool: ( fun_fu7398481913972163267t_bool * set_fu6080891106736489294t_bool ) > set_fu6080891106736489294t_bool ).

tff(func_def_1382,type,
    image_2498737800351163865t_unit: ( fun_fu3586949539055599609t_unit * set_fu6339532538019888579t_bool ) > set_set_Product_unit ).

tff(func_def_1383,type,
    image_5123598423453568667t_bool: ( fun_fu5792599895934982715t_bool * set_fu7884337747459999906l_bool ) > set_se2501078297044592302t_bool ).

tff(func_def_1384,type,
    insert_assn: ( assn * set_assn ) > set_assn ).

tff(func_def_1385,type,
    insert_Code_integer: fun_Co1555053522382583933nteger ).

tff(func_def_1386,type,
    insert_bool: fun_bo2177052459101130925t_bool ).

tff(func_def_1387,type,
    insert8563697753282147485t_unit: ( heap_e7401611519738050253t_unit * set_he8644174446132254637t_unit ) > set_he8644174446132254637t_unit ).

tff(func_def_1388,type,
    insert_int: fun_in3946961816151909994et_int ).

tff(func_def_1389,type,
    insert_nat: fun_na7754705478876614998et_nat ).

tff(func_def_1390,type,
    insert3967033758906133175l_bool: ( produc2804947525362035943l_bool * set_Pr8621012493645324487l_bool ) > set_Pr8621012493645324487l_bool ).

tff(func_def_1391,type,
    insert1271470778893645362et_nat: ( produc3658429121746597890et_nat * set_Pr3948176798113811640et_nat ) > set_Pr3948176798113811640et_nat ).

tff(func_def_1392,type,
    insert5033312907999012233nt_int: ( product_prod_int_int * set_Pr958786334691620121nt_int ) > set_Pr958786334691620121nt_int ).

tff(func_def_1393,type,
    insert8211810215607154385at_nat: ( product_prod_nat_nat * set_Pr1261947904930325089at_nat ) > set_Pr1261947904930325089at_nat ).

tff(func_def_1394,type,
    insert4616891024742550839t_unit: ( produc8459935480633519975t_unit * set_Pr5094982260447487303t_unit ) > set_Pr5094982260447487303t_unit ).

tff(func_def_1395,type,
    insert7646196630442441399t_bool: ( produc6172120975061646567t_bool * set_Pr3642346839158376647t_bool ) > set_Pr3642346839158376647t_bool ).

tff(func_def_1396,type,
    insert7328952640415156725et_int: ( produc2115011035271226405et_int * set_Pr2522554150109002629et_int ) > set_Pr2522554150109002629et_int ).

tff(func_def_1397,type,
    insert3810226134351308605et_nat: ( produc7819656566062154093et_nat * set_Pr5488025237498180813et_nat ) > set_Pr5488025237498180813et_nat ).

tff(func_def_1398,type,
    insert6793119152790066487t_unit: ( produc1357844946079266663t_unit * set_Pr3980508049012409671t_unit ) > set_Pr3980508049012409671t_unit ).

tff(func_def_1399,type,
    insert6323556983094160631t_bool: ( produc1329698249991434023t_bool * set_Pr6448005306607475463t_bool ) > set_Pr6448005306607475463t_bool ).

tff(func_def_1400,type,
    insert6594388694152036047et_nat: ( produc6108883039684432031et_nat * set_Pr1106803562331729365et_nat ) > set_Pr1106803562331729365et_nat ).

tff(func_def_1401,type,
    insert3643637800757551852et_nat: ( produc1542783094787327164et_nat * set_Pr9222568342844664434et_nat ) > set_Pr9222568342844664434et_nat ).

tff(func_def_1402,type,
    insert6595692174497521911t_bool: ( produc1469476007717053223t_bool * set_Pr2055239900342597383t_bool ) > set_Pr2055239900342597383t_bool ).

tff(func_def_1403,type,
    insert_Product_unit: fun_Pr7732015048784455459t_unit ).

tff(func_def_1404,type,
    insert_rat: ( rat * set_rat ) > set_rat ).

tff(func_def_1405,type,
    insert_set_bool: ( set_bool * set_set_bool ) > set_set_bool ).

tff(func_def_1406,type,
    insert_set_int: ( set_int * set_set_int ) > set_set_int ).

tff(func_def_1407,type,
    insert_set_nat: ( set_nat * set_set_nat ) > set_set_nat ).

tff(func_def_1408,type,
    insert8986028188087627965t_unit: ( set_Product_unit * set_set_Product_unit ) > set_set_Product_unit ).

tff(func_def_1409,type,
    insert8335293499030466846t_bool: ( set_fu6080891106736489294t_bool * set_se2501078297044592302t_bool ) > set_se2501078297044592302t_bool ).

tff(func_def_1410,type,
    insert969342481230318014t_bool: fun_Pr6001797050664311790t_bool > fun_se973636082235158211t_bool ).

tff(func_def_1411,type,
    is_empty_bool: fun_set_bool_bool ).

tff(func_def_1412,type,
    is_empty_int: fun_set_int_bool ).

tff(func_def_1413,type,
    is_empty_nat: fun_set_nat_bool ).

tff(func_def_1414,type,
    is_emp5529367068699929823t_unit: fun_se407542756755239981t_bool ).

tff(func_def_1415,type,
    is_emp5469135337431102656t_bool: fun_se7275083947436752652l_bool ).

tff(func_def_1416,type,
    is_singleton_bool: fun_set_bool_bool ).

tff(func_def_1417,type,
    is_singleton_int: fun_set_int_bool ).

tff(func_def_1418,type,
    is_singleton_nat: fun_set_nat_bool ).

tff(func_def_1419,type,
    is_sin2160648248035936513t_unit: fun_se407542756755239981t_bool ).

tff(func_def_1420,type,
    is_sin8604298300380296930t_bool: fun_se7275083947436752652l_bool ).

tff(func_def_1421,type,
    pairwi4741737654671186738nteger: fun_Co8310303586393106575r_bool > fun_se2712834123562403997r_bool ).

tff(func_def_1422,type,
    pairwise_bool: fun_bo1841576699660343469l_bool > fun_set_bool_bool ).

tff(func_def_1423,type,
    pairwise_int: fun_int_fun_int_bool > fun_set_int_bool ).

tff(func_def_1424,type,
    pairwise_nat: fun_nat_fun_nat_bool > fun_set_nat_bool ).

tff(func_def_1425,type,
    pairwi7919127943033184120t_unit: fun_Pr5562079387306038061t_bool > fun_se407542756755239981t_bool ).

tff(func_def_1426,type,
    pairwi2704567075835687513t_bool: fun_fu7365307207611327597l_bool > fun_se7275083947436752652l_bool ).

tff(func_def_1427,type,
    remove_bool: ( bool * set_bool ) > set_bool ).

tff(func_def_1428,type,
    remove_int: ( int * set_int ) > set_int ).

tff(func_def_1429,type,
    remove_nat: nat > fun_set_nat_set_nat ).

tff(func_def_1430,type,
    remove_Product_unit: ( product_unit * set_Product_unit ) > set_Product_unit ).

tff(func_def_1431,type,
    remove7940366566026015955t_bool: ( fun_Pr6001797050664311790t_bool * set_fu6080891106736489294t_bool ) > set_fu6080891106736489294t_bool ).

tff(func_def_1432,type,
    the_el4656377885804969768nteger: set_Code_integer > code_integer ).

tff(func_def_1433,type,
    the_elem_bool: fun_set_bool_bool ).

tff(func_def_1434,type,
    the_elem_int: set_int > int ).

tff(func_def_1435,type,
    the_elem_nat: fun_set_nat_nat ).

tff(func_def_1436,type,
    the_el608902216710161154t_unit: set_Product_unit > product_unit ).

tff(func_def_1437,type,
    the_elem_set_nat: set_set_nat > set_nat ).

tff(func_def_1438,type,
    the_el1408841810484753379t_bool: set_fu6080891106736489294t_bool > fun_Pr6001797050664311790t_bool ).

tff(func_def_1439,type,
    vimage1318793397690208119nteger: ( fun_Co8499238673658658103nteger * set_Code_integer ) > set_Code_integer ).

tff(func_def_1440,type,
    vimage1282435018921213821r_bool: ( fun_Co8822979462182099027r_bool * set_bool ) > set_Code_integer ).

tff(func_def_1441,type,
    vimage5837348839036363078er_int: ( fun_Code_integer_int * set_int ) > set_Code_integer ).

tff(func_def_1442,type,
    vimage5839839309545413354er_nat: ( fun_Code_integer_nat * set_nat ) > set_Code_integer ).

tff(func_def_1443,type,
    vimage5651688891684837235t_unit: ( fun_Co1365676809456677961t_unit * set_Product_unit ) > set_Code_integer ).

tff(func_def_1444,type,
    vimage_bool_bool: ( fun_bool_bool * set_bool ) > set_bool ).

tff(func_def_1445,type,
    vimage_bool_int: ( fun_bool_int * set_int ) > set_bool ).

tff(func_def_1446,type,
    vimage_bool_nat: ( fun_bool_nat * set_nat ) > set_bool ).

tff(func_def_1447,type,
    vimage1293058857088335435l_bool: ( fun_bo8995055541810095699l_bool * set_Pr8621012493645324487l_bool ) > set_bool ).

tff(func_def_1448,type,
    vimage4181764194126947964t_bool: ( fun_bo4568356210168345354t_bool * set_Pr4221484567948663702t_bool ) > set_bool ).

tff(func_def_1449,type,
    vimage7306055160595572184t_bool: ( fun_bo5028639161814991974t_bool * set_Pr4681767519595310322t_bool ) > set_bool ).

tff(func_def_1450,type,
    vimage5270757038505906901t_bool: ( fun_bo7757639093933629149t_bool * set_Pr1252729530486308177t_bool ) > set_bool ).

tff(func_def_1451,type,
    vimage2016121682348620657t_unit: ( fun_bo1891391082718140537t_unit * set_Product_unit ) > set_bool ).

tff(func_def_1452,type,
    vimage_int_bool: ( fun_int_bool * set_bool ) > set_int ).

tff(func_def_1453,type,
    vimage_int_int: ( fun_int_int * set_int ) > set_int ).

tff(func_def_1454,type,
    vimage_int_nat: ( fun_int_nat * set_nat ) > set_int ).

tff(func_def_1455,type,
    vimage7872673496510460816nt_int: ( fun_in4211310926729683942nt_int * set_Pr958786334691620121nt_int ) > set_int ).

tff(func_def_1456,type,
    vimage2000912565490760292t_unit: ( fun_int_Product_unit * set_Product_unit ) > set_int ).

tff(func_def_1457,type,
    vimage6104394758324456170nteger: ( fun_nat_Code_integer * set_Code_integer ) > set_nat ).

tff(func_def_1458,type,
    vimage_nat_bool: ( fun_nat_bool * set_bool ) > set_nat ).

tff(func_def_1459,type,
    vimage_nat_int: ( fun_nat_int * set_int ) > set_nat ).

tff(func_def_1460,type,
    vimage_nat_nat: fun_nat_nat > fun_set_nat_set_nat ).

tff(func_def_1461,type,
    vimage8902646743228692771ol_nat: ( fun_na6010711327783111523ol_nat * set_Pr7141997262790060364ol_nat ) > set_nat ).

tff(func_def_1462,type,
    vimage9012682431555523728nt_nat: ( fun_na3663551987197276902nt_nat * set_Pr3448869479623346877nt_nat ) > set_nat ).

tff(func_def_1463,type,
    vimage8013328719654469172at_nat: ( fun_na1476630412504255114at_nat * set_Pr1261947904930325089at_nat ) > set_nat ).

tff(func_def_1464,type,
    vimage4884490618288580032t_unit: ( fun_nat_Product_unit * set_Product_unit ) > set_nat ).

tff(func_def_1465,type,
    vimage_nat_set_nat: ( fun_nat_set_nat * set_set_nat ) > set_nat ).

tff(func_def_1466,type,
    vimage2481061422596149409t_bool: ( fun_na589949626680601079t_bool * set_fu6080891106736489294t_bool ) > set_nat ).

tff(func_def_1467,type,
    vimage156647654915590238et_nat: ( fun_Pr761831339830696478et_nat * set_Pr1106803562331729365et_nat ) > set_Pr3948176798113811640et_nat ).

tff(func_def_1468,type,
    vimage3717005787721205784et_nat: ( fun_Pr8176305432000512344et_nat * set_Pr9222568342844664434et_nat ) > set_Pr1106803562331729365et_nat ).

tff(func_def_1469,type,
    vimage9044311387031262469t_bool: ( fun_Pr1572506220757514509t_bool * set_bool ) > set_Product_unit ).

tff(func_def_1470,type,
    vimage6250838002967538110it_int: ( fun_Product_unit_int * set_int ) > set_Product_unit ).

tff(func_def_1471,type,
    vimage6253328473476588386it_nat: ( fun_Product_unit_nat * set_nat ) > set_Product_unit ).

tff(func_def_1472,type,
    vimage4872773743189892555t_unit: ( fun_Pr5513535723070646483t_unit * set_Pr1363446236920669885t_unit ) > set_Product_unit ).

tff(func_def_1473,type,
    vimage4422279681566046568t_unit: ( fun_Pr5318341826863983862t_unit * set_Pr5889264611543340172t_unit ) > set_Product_unit ).

tff(func_def_1474,type,
    vimage7305857734363866308t_unit: ( fun_Pr3763555631386913362t_unit * set_Pr4334478416066269672t_unit ) > set_Product_unit ).

tff(func_def_1475,type,
    vimage8114940889160087125t_unit: ( fun_Pr9137895030342395229t_unit * set_Pr5094982260447487303t_unit ) > set_Product_unit ).

tff(func_def_1476,type,
    vimage7995052115951654139t_unit: ( fun_Pr2191293291710260995t_unit * set_Product_unit ) > set_Product_unit ).

tff(func_def_1477,type,
    vimage5412618565253405765et_nat: ( fun_se1339536933736954245et_nat * set_Pr3948176798113811640et_nat ) > set_set_nat ).

tff(func_def_1478,type,
    set_fo2584398358068434914at_nat: ( fun_nat_fun_nat_nat * nat * nat ) > fun_nat_nat ).

tff(func_def_1479,type,
    set_or189985376899183464nteger: code_integer > fun_Co744628173305925485nteger ).

tff(func_def_1480,type,
    set_or1266510415728281911st_int: int > fun_int_set_int ).

tff(func_def_1481,type,
    set_or1269000886237332187st_nat: nat > fun_nat_set_nat ).

tff(func_def_1482,type,
    set_or8404916559141939852nteger: code_integer > fun_Co744628173305925485nteger ).

tff(func_def_1483,type,
    set_or4665077453230672383an_nat: nat > fun_nat_set_nat ).

tff(func_def_1484,type,
    set_ord_atLeast_nat: fun_nat_set_nat ).

tff(func_def_1485,type,
    set_ord_atMost_nat: fun_nat_set_nat ).

tff(func_def_1486,type,
    set_or2715278749043346189nteger: code_integer > fun_Co744628173305925485nteger ).

tff(func_def_1487,type,
    set_or4266950643985792945nteger: code_integer > fun_Co744628173305925485nteger ).

tff(func_def_1488,type,
    set_or1210151606488870762an_nat: fun_nat_set_nat ).

tff(func_def_1489,type,
    set_ord_lessThan_nat: fun_nat_set_nat ).

tff(func_def_1490,type,
    char2: ( bool * bool * bool * bool * bool * bool * bool * bool ) > char ).

tff(func_def_1491,type,
    integer_of_char: char > code_integer ).

tff(func_def_1492,type,
    sum_ca6763686470577984908at_nat: ( fun_nat_nat * fun_nat_nat * sum_sum_nat_nat ) > nat ).

tff(func_def_1493,type,
    syntax7398250324933576852n_assn: fun_as7903617535776176121n_bool ).

tff(func_def_1494,type,
    syntax5678989248478167196nt_int: fun_int_fun_int_bool ).

tff(func_def_1495,type,
    syntax4682126007086162916at_nat: fun_nat_fun_nat_bool ).

tff(func_def_1496,type,
    syntax3730441303064801268at_rat: fun_rat_fun_rat_bool ).

tff(func_def_1497,type,
    transi3984306202085910426nteger: set_Pr4811707699266497531nteger > set_Pr4811707699266497531nteger ).

tff(func_def_1498,type,
    transi2147251771279483930l_bool: set_Pr8621012493645324487l_bool > set_Pr8621012493645324487l_bool ).

tff(func_def_1499,type,
    transi2902850859426252137cl_int: set_Pr958786334691620121nt_int > set_Pr958786334691620121nt_int ).

tff(func_def_1500,type,
    transi2905341329935302413cl_nat: set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat ).

tff(func_def_1501,type,
    transi6919426408697524543et_nat: set_Pr719794911490849221et_nat > set_Pr719794911490849221et_nat ).

tff(func_def_1502,type,
    transi5430920176653612092nt_int: set_Pr2560585780119916871nt_int > set_Pr2560585780119916871nt_int ).

tff(func_def_1503,type,
    transi8609417484261754244at_nat: set_Pr8693737435421807431at_nat > set_Pr8693737435421807431at_nat ).

tff(func_def_1504,type,
    transi2015798751437712092et_nat: set_Pr4255865656320958847et_nat > set_Pr4255865656320958847et_nat ).

tff(func_def_1505,type,
    transi4261799840528695289et_nat: set_Pr6041871929502663225et_nat > set_Pr6041871929502663225et_nat ).

tff(func_def_1506,type,
    transi6481887417741755664t_unit: set_Pr5094982260447487303t_unit > set_Pr5094982260447487303t_unit ).

tff(func_def_1507,type,
    transi1389853520825376753t_bool: set_Pr2055239900342597383t_bool > set_Pr2055239900342597383t_bool ).

tff(func_def_1508,type,
    transi8112060559632522936l_bool: set_Pr8621012493645324487l_bool > set_Pr8621012493645324487l_bool ).

tff(func_def_1509,type,
    transi6261509568448316235cl_int: set_Pr958786334691620121nt_int > set_Pr958786334691620121nt_int ).

tff(func_def_1510,type,
    transi6264000038957366511cl_nat: set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat ).

tff(func_def_1511,type,
    transi4137310414928362273et_nat: set_Pr719794911490849221et_nat > set_Pr719794911490849221et_nat ).

tff(func_def_1512,type,
    transi6288783178788033498nt_int: set_Pr2560585780119916871nt_int > set_Pr2560585780119916871nt_int ).

tff(func_def_1513,type,
    transi243908449541399842at_nat: set_Pr8693737435421807431at_nat > set_Pr8693737435421807431at_nat ).

tff(func_def_1514,type,
    transi1932502723865673406et_nat: set_Pr4255865656320958847et_nat > set_Pr4255865656320958847et_nat ).

tff(func_def_1515,type,
    transi873757729886363099et_nat: set_Pr6041871929502663225et_nat > set_Pr6041871929502663225et_nat ).

tff(func_def_1516,type,
    transi430408012122777006t_unit: set_Pr5094982260447487303t_unit > set_Pr5094982260447487303t_unit ).

tff(func_def_1517,type,
    transi2067143285041584783t_bool: set_Pr2055239900342597383t_bool > set_Pr2055239900342597383t_bool ).

tff(func_def_1518,type,
    type_d18088346645320984t_bool: ( fun_as4100195077546555551t_bool * fun_fu1264473476461866025l_assn ) > fun_se7275083947436752652l_bool ).

tff(func_def_1519,type,
    type_d4796611474492816872nteger: ( fun_Co8499238673658658103nteger * fun_Co8499238673658658103nteger ) > fun_se2712834123562403997r_bool ).

tff(func_def_1520,type,
    type_d2088892679271541068r_bool: ( fun_Co8822979462182099027r_bool * fun_bo7282069421189217543nteger ) > fun_set_bool_bool ).

tff(func_def_1521,type,
    type_d8366093980585677751er_int: ( fun_Code_integer_int * fun_int_Code_integer ) > fun_set_int_bool ).

tff(func_def_1522,type,
    type_d8368584451094728027er_nat: ( fun_Code_integer_nat * fun_nat_Code_integer ) > fun_set_nat_bool ).

tff(func_def_1523,type,
    type_d9006111508436661314t_unit: ( fun_Co1365676809456677961t_unit * fun_Pr1820225556744648189nteger ) > fun_se407542756755239981t_bool ).

tff(func_def_1524,type,
    type_d4410041424927559462al_nat: ( fun_Code_natural_nat * fun_nat_Code_natural ) > fun_set_nat_bool ).

tff(func_def_1525,type,
    type_d8633139899873770843nteger: ( fun_nat_Code_integer * fun_Code_integer_nat ) > fun_se2712834123562403997r_bool ).

tff(func_def_1526,type,
    type_d6250493948777748686at_nat: ( fun_nat_nat * fun_nat_nat ) > fun_set_nat_bool ).

tff(func_def_1527,type,
    type_d5772988228442255350t_bool: ( fun_Pr1572506220757514509t_bool * fun_bo1891391082718140537t_unit ) > fun_set_bool_bool ).

tff(func_def_1528,type,
    type_d202864840109488260at_nat: ( fun_set_nat_nat * fun_nat_set_nat ) > fun_set_nat_bool ).

tff(func_def_1529,type,
    type_d6382125070450342082nteger: ( fun_fu5689865433563736081nteger * fun_Co1981900195452921617nteger ) > fun_se2712834123562403997r_bool ).

tff(func_def_1530,type,
    type_d8201345049721092750nteger: ( fun_fu9117715662874197469nteger * fun_Co1561183069634336733nteger ) > fun_se2712834123562403997r_bool ).

tff(func_def_1531,type,
    type_d2279328011116789286r_bool: ( fun_fu5845048363982186797r_bool * fun_bo1105078601566322605nteger ) > fun_set_bool_bool ).

tff(func_def_1532,type,
    type_d922709932879716865er_nat: ( fun_fu7638885401485650896er_nat * fun_na7028214812545403088nteger ) > fun_set_nat_bool ).

tff(func_def_1533,type,
    type_d3971210459120089884t_unit: ( fun_fu4478038021464438563t_unit * fun_Pr3800342156844704675nteger ) > fun_se407542756755239981t_bool ).

tff(func_def_1534,type,
    accp_P5801069581201407417et_nat: fun_Pr8933696392609397829t_bool > fun_Pr6001797050664311790t_bool ).

tff(func_def_1535,type,
    accp_P1096762738010456898nt_int: fun_Pr3099820731930151597t_bool > fun_Pr803113274115125473t_bool ).

tff(func_def_1536,type,
    accp_P4275260045618599050at_nat: fun_Pr248683899324676269t_bool > fun_Pr7757163693017731481t_bool ).

tff(func_def_1537,type,
    accp_P9010229746810818675et_nat: fun_Pr6803231168968006865t_bool > fun_Pr229822445725053876t_bool ).

tff(func_def_1538,type,
    lex_pr538634069021852900et_nat: ( set_Pr1776176089890104647t_unit * set_Pr5488025237498180813et_nat ) > set_Pr719794911490849221et_nat ).

tff(func_def_1539,type,
    lex_prod_int_int: ( set_Pr958786334691620121nt_int * set_Pr958786334691620121nt_int ) > set_Pr2560585780119916871nt_int ).

tff(func_def_1540,type,
    lex_prod_int_nat: ( set_Pr958786334691620121nt_int * set_Pr1261947904930325089at_nat ) > set_Pr5696620967126086215nt_nat ).

tff(func_def_1541,type,
    lex_prod_nat_int: ( set_Pr1261947904930325089at_nat * set_Pr958786334691620121nt_int ) > set_Pr5557702248415638087at_int ).

tff(func_def_1542,type,
    lex_prod_nat_nat: ( set_Pr1261947904930325089at_nat * set_Pr1261947904930325089at_nat ) > set_Pr8693737435421807431at_nat ).

tff(func_def_1543,type,
    lex_pr6242299043559587969et_nat: ( set_Pr2055239900342597383t_bool * set_Pr719794911490849221et_nat ) > set_Pr4255865656320958847et_nat ).

tff(func_def_1544,type,
    lex_pr8462691726324065310et_nat: ( set_Pr2055239900342597383t_bool * set_Pr4255865656320958847et_nat ) > set_Pr6041871929502663225et_nat ).

tff(func_def_1545,type,
    max_ext_Code_integer: set_Pr4811707699266497531nteger > set_Pr7577011563204128103nteger ).

tff(func_def_1546,type,
    max_ext_bool: set_Pr8621012493645324487l_bool > set_Pr3642346839158376647t_bool ).

tff(func_def_1547,type,
    max_ext_int: set_Pr958786334691620121nt_int > set_Pr2522554150109002629et_int ).

tff(func_def_1548,type,
    max_ext_nat: set_Pr1261947904930325089at_nat > set_Pr5488025237498180813et_nat ).

tff(func_def_1549,type,
    max_ext_Product_unit: set_Pr5094982260447487303t_unit > set_Pr3980508049012409671t_unit ).

tff(func_def_1550,type,
    max_ex430785109670803881t_bool: set_Pr2055239900342597383t_bool > set_Pr6448005306607475463t_bool ).

tff(func_def_1551,type,
    measure_int: fun_int_nat > set_Pr958786334691620121nt_int ).

tff(func_def_1552,type,
    measure_nat: fun_nat_nat > set_Pr1261947904930325089at_nat ).

tff(func_def_1553,type,
    min_ext_bool: set_Pr8621012493645324487l_bool > set_Pr3642346839158376647t_bool ).

tff(func_def_1554,type,
    min_ext_int: set_Pr958786334691620121nt_int > set_Pr2522554150109002629et_int ).

tff(func_def_1555,type,
    min_ext_nat: set_Pr1261947904930325089at_nat > set_Pr5488025237498180813et_nat ).

tff(func_def_1556,type,
    min_ext_Product_unit: set_Pr5094982260447487303t_unit > set_Pr3980508049012409671t_unit ).

tff(func_def_1557,type,
    min_ex6134630029799489175t_bool: set_Pr2055239900342597383t_bool > set_Pr6448005306607475463t_bool ).

tff(func_def_1558,type,
    chains_int: set_Pr958786334691620121nt_int > set_set_int ).

tff(func_def_1559,type,
    chains_nat: set_Pr1261947904930325089at_nat > set_set_nat ).

tff(func_def_1560,type,
    chains_nat2: set_set_nat > set_set_set_nat ).

tff(func_def_1561,type,
    pred_chain_bool: ( set_bool * fun_bo1841576699660343469l_bool ) > fun_set_bool_bool ).

tff(func_def_1562,type,
    pred_chain_int: ( set_int * fun_int_fun_int_bool ) > fun_set_int_bool ).

tff(func_def_1563,type,
    pred_chain_nat: ( set_nat * fun_nat_fun_nat_bool ) > fun_set_nat_bool ).

tff(func_def_1564,type,
    pred_c6915491785556283576t_unit: ( set_Product_unit * fun_Pr5562079387306038061t_bool ) > fun_se407542756755239981t_bool ).

tff(func_def_1565,type,
    pred_c7544781023234810777t_bool: ( set_fu6080891106736489294t_bool * fun_fu7365307207611327597l_bool ) > fun_se7275083947436752652l_bool ).

tff(func_def_1566,type,
    aa_assn_assn: ( fun_assn_assn * assn ) > assn ).

tff(func_def_1567,type,
    aa_assn_Code_integer: ( fun_as9138348466139350018nteger * assn ) > code_integer ).

tff(func_def_1568,type,
    aa_assn_bool: ( fun_assn_bool * assn ) > bool ).

tff(func_def_1569,type,
    aa_assn_int: ( fun_assn_int * assn ) > int ).

tff(func_def_1570,type,
    aa_assn_nat: ( fun_assn_nat * assn ) > nat ).

tff(func_def_1571,type,
    aa_assn_rat: ( fun_assn_rat * assn ) > rat ).

tff(func_def_1572,type,
    aa_ass954072293579886259n_assn: ( fun_as3983628580203722482n_assn * assn ) > fun_assn_assn ).

tff(func_def_1573,type,
    aa_ass5323576183532441186n_bool: ( fun_as7903617535776176121n_bool * assn ) > fun_assn_bool ).

tff(func_def_1574,type,
    aa_ass8975924923219239432t_bool: ( fun_as4100195077546555551t_bool * assn ) > fun_Pr6001797050664311790t_bool ).

tff(func_def_1575,type,
    aa_Code_integer_assn: ( fun_Co4490034186337852034r_assn * code_integer ) > assn ).

tff(func_def_1576,type,
    aa_Cod1783974652533396728nteger: ( fun_Co8499238673658658103nteger * code_integer ) > code_integer ).

tff(func_def_1577,type,
    aa_Cod607569804290114243atural: ( fun_Co3734316457315071362atural * code_integer ) > code_natural ).

tff(func_def_1578,type,
    aa_Code_integer_bool: ( fun_Co8822979462182099027r_bool * code_integer ) > bool ).

tff(func_def_1579,type,
    aa_Code_integer_int: ( fun_Code_integer_int * code_integer ) > int ).

tff(func_def_1580,type,
    aa_Code_integer_nat: ( fun_Code_integer_nat * code_integer ) > nat ).

tff(func_def_1581,type,
    aa_Cod6977894654539884864nteger: ( fun_Co6597186368970283863nteger * code_integer ) > produc8923325533196201883nteger ).

tff(func_def_1582,type,
    aa_Code_integer_rat: ( fun_Code_integer_rat * code_integer ) > rat ).

tff(func_def_1583,type,
    aa_Cod2813182003028390446nteger: ( fun_Co744628173305925485nteger * code_integer ) > set_Code_integer ).

tff(func_def_1584,type,
    aa_Cod3909382663560660252t_bool: ( fun_Co5127707541723817779t_bool * code_integer ) > set_bool ).

tff(func_def_1585,type,
    aa_Cod1964855514770062461et_int: ( fun_Co5817875961738342972et_int * code_integer ) > set_int ).

tff(func_def_1586,type,
    aa_Cod6142706534279259169et_nat: ( fun_Co8307959106670069728et_nat * code_integer ) > set_nat ).

tff(func_def_1587,type,
    aa_Cod82315800264730130t_unit: ( fun_Co7675133579868055849t_unit * code_integer ) > set_Product_unit ).

tff(func_def_1588,type,
    aa_Cod4161879620478718930nteger: ( fun_Co1981900195452921617nteger * code_integer ) > fun_Co8499238673658658103nteger ).

tff(func_def_1589,type,
    aa_Cod7250484176784686200r_bool: ( fun_Co8310303586393106575r_bool * code_integer ) > fun_Co8822979462182099027r_bool ).

tff(func_def_1590,type,
    aa_Cod1242632294114111009er_int: ( fun_Co1092983284983208416er_int * code_integer ) > fun_Code_integer_int ).

tff(func_def_1591,type,
    aa_Cod8380929501330563836nteger: ( fun_Co2470855966376689427nteger * code_integer ) > fun_Co6597186368970283863nteger ).

tff(func_def_1592,type,
    aa_Cod1978467581589928094nteger: ( fun_Co1561183069634336733nteger * code_integer ) > fun_Pr5876161306168176259nteger ).

tff(func_def_1593,type,
    aa_Cod6004039685867158334nteger: ( fun_Co1555053522382583933nteger * code_integer ) > fun_se1992738044240919715nteger ).

tff(func_def_1594,type,
    aa_Cod4272041906116450446atural: ( fun_Co7398788559141407565atural * code_natural ) > code_natural ).

tff(func_def_1595,type,
    aa_Code_natural_bool: ( fun_Co7175331531449502024l_bool * code_natural ) > bool ).

tff(func_def_1596,type,
    aa_Code_natural_nat: ( fun_Code_natural_nat * code_natural ) > nat ).

tff(func_def_1597,type,
    aa_Cod5141017464274028979atural: ( fun_Co6813818151677833714atural * code_natural ) > fun_Co7398788559141407565atural ).

tff(func_def_1598,type,
    aa_Cod6910080592713026658l_bool: ( fun_Co9170264581657726457l_bool * code_natural ) > fun_Co7175331531449502024l_bool ).

tff(func_def_1599,type,
    aa_Cod6352003912080677724atural: ( fun_Co1105491363547889651atural * code_natural ) > fun_Pr7769407664385210434atural ).

tff(func_def_1600,type,
    aa_filter_nat_bool: ( fun_filter_nat_bool * filter_nat ) > bool ).

tff(func_def_1601,type,
    aa_filter_nat_rat: ( fun_filter_nat_rat * filter_nat ) > rat ).

tff(func_def_1602,type,
    aa_fil5767376426917487858t_bool: ( fun_fi5759838706352575625t_bool * filter_nat ) > fun_filter_nat_bool ).

tff(func_def_1603,type,
    aa_bool_assn: ( fun_bool_assn * bool ) > assn ).

tff(func_def_1604,type,
    aa_bool_Code_integer: ( fun_bo7282069421189217543nteger * bool ) > code_integer ).

tff(func_def_1605,type,
    aa_bool_Code_natural: ( fun_bo2517147204845630802atural * bool ) > code_natural ).

tff(func_def_1606,type,
    aa_bool_filter_nat: ( fun_bool_filter_nat * bool ) > filter_nat ).

tff(func_def_1607,type,
    aa_bool_bool: ( fun_bool_bool * bool ) > bool ).

tff(func_def_1608,type,
    aa_bool_int: ( fun_bool_int * bool ) > int ).

tff(func_def_1609,type,
    aa_bool_nat: ( fun_bool_nat * bool ) > nat ).

tff(func_def_1610,type,
    aa_boo3115168258980966476l_bool: ( fun_bo8995055541810095699l_bool * bool ) > produc2804947525362035943l_bool ).

tff(func_def_1611,type,
    aa_boo5342464178480948283t_bool: ( fun_bo4568356210168345354t_bool * bool ) > produc4876081531382960352t_bool ).

tff(func_def_1612,type,
    aa_boo8466755144949572503t_bool: ( fun_bo5028639161814991974t_bool * bool ) > produc8000372497851584572t_bool ).

tff(func_def_1613,type,
    aa_boo4099738559465955798t_bool: ( fun_bo7757639093933629149t_bool * bool ) > produc2151345699928993137t_bool ).

tff(func_def_1614,type,
    aa_bool_Product_unit: ( fun_bo1891391082718140537t_unit * bool ) > product_unit ).

tff(func_def_1615,type,
    aa_bool_rat: ( fun_bool_rat * bool ) > rat ).

tff(func_def_1616,type,
    aa_boo2711833485109313006nteger: ( fun_bo8700639080905871165nteger * bool ) > set_Code_integer ).

tff(func_def_1617,type,
    aa_bool_set_bool: ( fun_bool_set_bool * bool ) > set_bool ).

tff(func_def_1618,type,
    aa_bool_set_int: ( fun_bool_set_int * bool ) > set_int ).

tff(func_def_1619,type,
    aa_bool_set_nat: ( fun_bool_set_nat * bool ) > set_nat ).

tff(func_def_1620,type,
    aa_boo277606315331799634t_unit: ( fun_bo8182086032597355865t_unit * bool ) > set_Product_unit ).

tff(func_def_1621,type,
    aa_boo8970175072276269406l_bool: ( fun_bo1841576699660343469l_bool * bool ) > fun_bool_bool ).

tff(func_def_1622,type,
    aa_boo5450306590482981214t_bool: ( fun_bo2177052459101130925t_bool * bool ) > fun_se1093428521897753731t_bool ).

tff(func_def_1623,type,
    aa_hea1793595068369496646t_bool: ( fun_he6201055237484778573t_bool * heap_e7401611519738050253t_unit ) > bool ).

tff(func_def_1624,type,
    aa_hea2136485429539994620t_unit: ( fun_he2331061685413951235t_unit * heap_e7401611519738050253t_unit ) > heap_e7401611519738050253t_unit ).

tff(func_def_1625,type,
    aa_hea5845511566184444989it_int: ( fun_he6078633327341457676it_int * heap_e7401611519738050253t_unit ) > int ).

tff(func_def_1626,type,
    aa_hea5848002036693495265it_nat: ( fun_he1033112309995878576it_nat * heap_e7401611519738050253t_unit ) > nat ).

tff(func_def_1627,type,
    aa_hea431243932251723341et_nat: ( fun_he8038253169496836892et_nat * heap_e7401611519738050253t_unit ) > set_set_nat ).

tff(func_def_1628,type,
    aa_hea5654232377022919902t_bool: ( fun_he1004219788074801965t_bool * heap_e7401611519738050253t_unit ) > fun_he6201055237484778573t_bool ).

tff(func_def_1629,type,
    aa_hea1391855555190400541t_bool: ( fun_he2597241314532250788t_bool * heap_e7401611519738050253t_unit ) > fun_Pr6001797050664311790t_bool ).

tff(func_def_1630,type,
    aa_hea2782697410307197849t_bool: ( fun_he7710493197641524256t_bool * heap_e7401611519738050253t_unit ) > fun_set_nat_bool ).

tff(func_def_1631,type,
    aa_int_assn: ( fun_int_assn * int ) > assn ).

tff(func_def_1632,type,
    aa_int_Code_integer: ( fun_int_Code_integer * int ) > code_integer ).

tff(func_def_1633,type,
    aa_int_Code_natural: ( fun_int_Code_natural * int ) > code_natural ).

tff(func_def_1634,type,
    aa_int_filter_nat: ( fun_int_filter_nat * int ) > filter_nat ).

tff(func_def_1635,type,
    aa_int_bool: ( fun_int_bool * int ) > bool ).

tff(func_def_1636,type,
    aa_int3094347076292422883t_unit: ( fun_in7572449478177386490t_unit * int ) > heap_e7401611519738050253t_unit ).

tff(func_def_1637,type,
    aa_int_int: ( fun_int_int * int ) > int ).

tff(func_def_1638,type,
    aa_int_nat: ( fun_int_nat * int ) > nat ).

tff(func_def_1639,type,
    aa_int9033694857635096172et_nat: ( fun_in4666789911842550827et_nat * int ) > produc3658429121746597890et_nat ).

tff(func_def_1640,type,
    aa_int7462565939943104719nt_int: ( fun_in4211310926729683942nt_int * int ) > product_prod_int_int ).

tff(func_def_1641,type,
    aa_int5083846296590250249et_nat: ( fun_in8942784645934064712et_nat * int ) > produc6108883039684432031et_nat ).

tff(func_def_1642,type,
    aa_int_Product_unit: ( fun_int_Product_unit * int ) > product_unit ).

tff(func_def_1643,type,
    aa_int_rat: ( fun_int_rat * int ) > rat ).

tff(func_def_1644,type,
    aa_int6612375148016655357nteger: ( fun_in6808926178784942396nteger * int ) > set_Code_integer ).

tff(func_def_1645,type,
    aa_int_set_bool: ( fun_int_set_bool * int ) > set_bool ).

tff(func_def_1646,type,
    aa_int_set_int: ( fun_int_set_int * int ) > set_int ).

tff(func_def_1647,type,
    aa_int_set_nat: ( fun_int_set_nat * int ) > set_nat ).

tff(func_def_1648,type,
    aa_int6548451963861500163t_unit: ( fun_in4731230917697954842t_unit * int ) > set_Product_unit ).

tff(func_def_1649,type,
    aa_int_fun_int_bool: ( fun_int_fun_int_bool * int ) > fun_int_bool ).

tff(func_def_1650,type,
    aa_int_fun_int_int: ( fun_int_fun_int_int * int ) > fun_int_int ).

tff(func_def_1651,type,
    aa_int2565445551602696444nt_int: ( fun_in1696471567231710611nt_int * int ) > fun_in4211310926729683942nt_int ).

tff(func_def_1652,type,
    aa_int2327297053056786951t_bool: ( fun_in6148020733644367646t_bool * int ) > fun_int_fun_int_bool ).

tff(func_def_1653,type,
    aa_int1966403025003302569nt_int: ( fun_in2204242111582549184nt_int * int ) > fun_in1696471567231710611nt_int ).

tff(func_def_1654,type,
    aa_int3466484283769062404t_bool: ( fun_in3344392145425689243t_bool * int ) > fun_Pr6001797050664311790t_bool ).

tff(func_def_1655,type,
    aa_int7955932875426912299et_int: ( fun_in3946961816151909994et_int * int ) > fun_set_int_set_int ).

tff(func_def_1656,type,
    aa_nat_assn: ( fun_nat_assn * nat ) > assn ).

tff(func_def_1657,type,
    aa_nat_Code_integer: ( fun_nat_Code_integer * nat ) > code_integer ).

tff(func_def_1658,type,
    aa_nat_Code_natural: ( fun_nat_Code_natural * nat ) > code_natural ).

tff(func_def_1659,type,
    aa_nat_filter_nat: ( fun_nat_filter_nat * nat ) > filter_nat ).

tff(func_def_1660,type,
    aa_nat_bool: ( fun_nat_bool * nat ) > bool ).

tff(func_def_1661,type,
    aa_nat4191430056936421439t_unit: ( fun_na8669532458821385046t_unit * nat ) > heap_e7401611519738050253t_unit ).

tff(func_def_1662,type,
    aa_nat_int: ( fun_nat_int * nat ) > int ).

tff(func_def_1663,type,
    aa_nat_nat: ( fun_nat_nat * nat ) > nat ).

tff(func_def_1664,type,
    aa_nat1609902949762341796ol_nat: ( fun_na6010711327783111523ol_nat * nat ) > produc567104428201204118ol_nat ).

tff(func_def_1665,type,
    aa_nat6208498561624090640et_nat: ( fun_na1841593615831545295et_nat * nat ) > produc3658429121746597890et_nat ).

tff(func_def_1666,type,
    aa_nat8602574874988167631nt_nat: ( fun_na3663551987197276902nt_nat * nat ) > product_prod_int_nat ).

tff(func_def_1667,type,
    aa_nat7603221163087113075at_nat: ( fun_na1476630412504255114at_nat * nat ) > product_prod_nat_nat ).

tff(func_def_1668,type,
    aa_nat_Product_unit: ( fun_nat_Product_unit * nat ) > product_unit ).

tff(func_def_1669,type,
    aa_nat_rat: ( fun_nat_rat * nat ) > rat ).

tff(func_def_1670,type,
    aa_nat8922193080109606305nteger: ( fun_na9118744110877893344nteger * nat ) > set_Code_integer ).

tff(func_def_1671,type,
    aa_nat_set_bool: ( fun_nat_set_bool * nat ) > set_bool ).

tff(func_def_1672,type,
    aa_nat_set_int: ( fun_nat_set_int * nat ) > set_int ).

tff(func_def_1673,type,
    aa_nat_set_nat: ( fun_nat_set_nat * nat ) > set_nat ).

tff(func_def_1674,type,
    aa_nat7062706319057040595at_nat: ( fun_na7044673412300895210at_nat * nat ) > set_Pr1261947904930325089at_nat ).

tff(func_def_1675,type,
    aa_nat2714212862977473631t_unit: ( fun_na896991816813928310t_unit * nat ) > set_Product_unit ).

tff(func_def_1676,type,
    aa_nat8477170894687380160t_bool: ( fun_na5616424005362821463t_bool * nat ) > set_fu6080891106736489294t_bool ).

tff(func_def_1677,type,
    aa_nat_fun_nat_bool: ( fun_nat_fun_nat_bool * nat ) > fun_nat_bool ).

tff(func_def_1678,type,
    aa_nat_fun_nat_nat: ( fun_nat_fun_nat_nat * nat ) > fun_nat_nat ).

tff(func_def_1679,type,
    aa_nat8803788312118491388at_nat: ( fun_na4138050610385705875at_nat * nat ) > fun_na1476630412504255114at_nat ).

tff(func_def_1680,type,
    aa_nat3783148529270815480at_nat: ( fun_na3244735409550470327at_nat * nat ) > fun_nat_fun_nat_nat ).

tff(func_def_1681,type,
    aa_nat4158579785191972357at_nat: ( fun_na4143055713577223196at_nat * nat ) > fun_na4138050610385705875at_nat ).

tff(func_def_1682,type,
    aa_nat5682243440470347102at_nat: ( fun_na1668100129766719005at_nat * nat ) > fun_na8713714802964096592at_nat ).

tff(func_def_1683,type,
    aa_nat712041765023974240t_bool: ( fun_na589949626680601079t_bool * nat ) > fun_Pr6001797050664311790t_bool ).

tff(func_def_1684,type,
    aa_nat7997280740862404369at_nat: ( fun_na8713714802964096592at_nat * nat ) > fun_Pr2118491707810114563at_nat ).

tff(func_def_1685,type,
    aa_nat5279478944698590999et_nat: ( fun_na7754705478876614998et_nat * nat ) > fun_set_nat_set_nat ).

tff(func_def_1686,type,
    aa_Pro5245656335456409788nteger: ( fun_Pr6596356882939945227nteger * produc8923325533196201883nteger ) > code_integer ).

tff(func_def_1687,type,
    aa_Pro4693618923521437820nteger: ( fun_Pr5876161306168176259nteger * produc8923325533196201883nteger ) > produc8923325533196201883nteger ).

tff(func_def_1688,type,
    aa_Pro2514201178793240662nteger: ( fun_Pr4857721227833164125nteger * produc8923325533196201883nteger ) > produc4583073815358615925nteger ).

tff(func_def_1689,type,
    aa_Pro6222166416904055126nteger: ( fun_Pr5458885100655985245nteger * produc8923325533196201883nteger ) > produc8291039053469430389nteger ).

tff(func_def_1690,type,
    aa_Pro4416545769347374384nteger: ( fun_Pr9027168029485879607nteger * produc8923325533196201883nteger ) > produc3974974285617410127nteger ).

tff(func_def_1691,type,
    aa_Pro552286414676239304nteger: ( fun_Pr3001699213897242575nteger * produc8923325533196201883nteger ) > produc5081555286676025831nteger ).

tff(func_def_1692,type,
    aa_Pro4358925961699788142nteger: ( fun_Pr8555020547098233205nteger * produc4583073815358615925nteger ) > produc5081555286676025831nteger ).

tff(func_def_1693,type,
    aa_Pro7165575656943818355atural: ( fun_Pr7769407664385210434atural * produc7822875418678951345atural ) > produc5835291356934675326atural ).

tff(func_def_1694,type,
    aa_Pro2991721470636411351t_bool: ( fun_Pr6001797050664311790t_bool * produc3658429121746597890et_nat ) > bool ).

tff(func_def_1695,type,
    aa_Pro1219312880135979149t_unit: ( fun_Pr7672403737682949028t_unit * produc3658429121746597890et_nat ) > heap_e7401611519738050253t_unit ).

tff(func_def_1696,type,
    aa_Pro8901340430247369232at_nat: ( fun_Pr6529957239379720399at_nat * produc3658429121746597890et_nat ) > nat ).

tff(func_def_1697,type,
    aa_Pro3679490825741336130et_nat: ( fun_Pr7091840695141096449et_nat * produc3658429121746597890et_nat ) > produc3658429121746597890et_nat ).

tff(func_def_1698,type,
    aa_Pro8183881510673000825nt_int: ( fun_Pr5141187847748131984nt_int * produc3658429121746597890et_nat ) > product_prod_int_int ).

tff(func_def_1699,type,
    aa_Pro2139006781426367169at_nat: ( fun_Pr5444349417986836952at_nat * produc3658429121746597890et_nat ) > product_prod_nat_nat ).

tff(func_def_1700,type,
    aa_Pro7370057327950226428t_unit: ( fun_Pr7214764501845804219t_unit * produc3658429121746597890et_nat ) > produc7348995623955488188t_unit ).

tff(func_def_1701,type,
    aa_Pro1252775905504286431et_nat: ( fun_Pr761831339830696478et_nat * produc3658429121746597890et_nat ) > produc6108883039684432031et_nat ).

tff(func_def_1702,type,
    aa_Pro3416150927818442182et_nat: ( fun_Pr3337834798857116037et_nat * produc3658429121746597890et_nat ) > set_nat ).

tff(func_def_1703,type,
    aa_Pro2446626273797474476l_bool: ( fun_Pr979140477516945259l_bool * produc3658429121746597890et_nat ) > fun_fu9160419385450930796l_bool ).

tff(func_def_1704,type,
    aa_Pro4501881432599481050t_bool: ( fun_Pr803113274115125473t_bool * product_prod_int_int ) > bool ).

tff(func_def_1705,type,
    aa_Pro6799258434465214121nt_int: ( fun_Pr982841511892225912nt_int * product_prod_int_int ) > int ).

tff(func_def_1706,type,
    aa_Pro5732104609077762687et_nat: ( fun_Pr2304087830868576334et_nat * product_prod_int_int ) > produc3658429121746597890et_nat ).

tff(func_def_1707,type,
    aa_Pro6970504127699319548nt_int: ( fun_Pr2478283820680522243nt_int * product_prod_int_int ) > product_prod_int_int ).

tff(func_def_1708,type,
    aa_Pro925629398452685892at_nat: ( fun_Pr2781445390919227211at_nat * product_prod_int_int ) > product_prod_nat_nat ).

tff(func_def_1709,type,
    aa_Pro6166618844887768661nt_rat: ( fun_Pr1652463973008025892nt_rat * product_prod_int_int ) > rat ).

tff(func_def_1710,type,
    aa_Pro1534211998248933470t_bool: ( fun_Pr3099820731930151597t_bool * product_prod_int_int ) > fun_Pr803113274115125473t_bool ).

tff(func_def_1711,type,
    aa_Pro4124234152028750080nt_int: ( fun_Pr1308109350235310159nt_int * product_prod_int_int ) > fun_Pr2478283820680522243nt_int ).

tff(func_def_1712,type,
    aa_Pro2232559814647311250t_bool: ( fun_Pr7757163693017731481t_bool * product_prod_nat_nat ) > bool ).

tff(func_def_1713,type,
    aa_Pro4240683299535347697at_int: ( fun_Pr7647638413817135296at_int * product_prod_nat_nat ) > int ).

tff(func_def_1714,type,
    aa_Pro4243173770044397973at_nat: ( fun_Pr2602117396471556196at_nat * product_prod_nat_nat ) > nat ).

tff(func_def_1715,type,
    aa_Pro3449680268614826951et_nat: ( fun_Pr21663490405640598et_nat * product_prod_nat_nat ) > produc3658429121746597890et_nat ).

tff(func_def_1716,type,
    aa_Pro6307550444590206900nt_int: ( fun_Pr1815330137571409595nt_int * product_prod_nat_nat ) > product_prod_int_int ).

tff(func_def_1717,type,
    aa_Pro262675715343573244at_nat: ( fun_Pr2118491707810114563at_nat * product_prod_nat_nat ) > product_prod_nat_nat ).

tff(func_def_1718,type,
    aa_Pro8359836180196990308et_nat: ( fun_Pr4213701301278458035et_nat * product_prod_nat_nat ) > produc6108883039684432031et_nat ).

tff(func_def_1719,type,
    aa_Pro8023792847356852296at_nat: ( fun_Pr2477239776880934807at_nat * product_prod_nat_nat ) > fun_Pr2118491707810114563at_nat ).

tff(func_def_1720,type,
    aa_Pro3424863042687914942et_nat: ( fun_Pr3659704428484505341et_nat * produc2123963014314306273t_bool ) > produc6108883039684432031et_nat ).

tff(func_def_1721,type,
    aa_Pro5563223637932649854et_nat: ( fun_Pr6535039171404285501et_nat * produc6968460846966063236t_bool ) > produc1542783094787327164et_nat ).

tff(func_def_1722,type,
    aa_Pro2092192379717785596et_nat: ( fun_Pr5504542249117545915et_nat * produc7348995623955488188t_unit ) > produc3658429121746597890et_nat ).

tff(func_def_1723,type,
    aa_Pro1931126632642659438nteger: ( fun_Pr6127221218041104501nteger * produc8291039053469430389nteger ) > produc5081555286676025831nteger ).

tff(func_def_1724,type,
    aa_Pro3873633512513284628nteger: ( fun_Pr7301545579335958043nteger * produc3974974285617410127nteger ) > produc5081555286676025831nteger ).

tff(func_def_1725,type,
    aa_Pro7454463142485379962t_bool: ( fun_Pr3073222722562426257t_bool * produc6108883039684432031et_nat ) > bool ).

tff(func_def_1726,type,
    aa_Pro5705547654289895903et_nat: ( fun_Pr2210758139564844958et_nat * produc6108883039684432031et_nat ) > produc3658429121746597890et_nat ).

tff(func_def_1727,type,
    aa_Pro903497382481946046t_bool: ( fun_Pr3712735747772465149t_bool * produc6108883039684432031et_nat ) > produc2123963014314306273t_bool ).

tff(func_def_1728,type,
    aa_Pro4888417407852071804et_nat: ( fun_Pr5123258793648662203et_nat * produc6108883039684432031et_nat ) > produc6108883039684432031et_nat ).

tff(func_def_1729,type,
    aa_Pro4782578008252579993et_nat: ( fun_Pr8176305432000512344et_nat * produc6108883039684432031et_nat ) > produc1542783094787327164et_nat ).

tff(func_def_1730,type,
    aa_Pro4643658017321486161t_bool: ( fun_Pr8311103421978789352t_bool * produc6108883039684432031et_nat ) > fun_Pr6001797050664311790t_bool ).

tff(func_def_1731,type,
    aa_Pro6595903904359080393l_bool: ( fun_Pr215885126604245128l_bool * produc6108883039684432031et_nat ) > fun_fu9160419385450930796l_bool ).

tff(func_def_1732,type,
    aa_Pro6092667153363046813t_bool: ( fun_Pr229822445725053876t_bool * produc1542783094787327164et_nat ) > bool ).

tff(func_def_1733,type,
    aa_Pro5997593794901626238t_bool: ( fun_Pr1766678018663252541t_bool * produc1542783094787327164et_nat ) > produc6968460846966063236t_bool ).

tff(func_def_1734,type,
    aa_Pro4170575469667212185et_nat: ( fun_Pr6859458860894228184et_nat * produc1542783094787327164et_nat ) > produc6108883039684432031et_nat ).

tff(func_def_1735,type,
    aa_Pro115504772552256884t_bool: ( fun_Pr6052842969455678475t_bool * produc1542783094787327164et_nat ) > fun_Pr6001797050664311790t_bool ).

tff(func_def_1736,type,
    aa_Product_unit_assn: ( fun_Pr6626665806141890376t_assn * product_unit ) > assn ).

tff(func_def_1737,type,
    aa_Pro1705297278780387758nteger: ( fun_Pr1820225556744648189nteger * product_unit ) > code_integer ).

tff(func_def_1738,type,
    aa_Pro528892430537105273atural: ( fun_Pr6278675377255837256atural * product_unit ) > code_natural ).

tff(func_def_1739,type,
    aa_Pro518797148967611313er_nat: ( fun_Pr566567543205111936er_nat * product_unit ) > filter_nat ).

tff(func_def_1740,type,
    aa_Product_unit_bool: ( fun_Pr1572506220757514509t_bool * product_unit ) > bool ).

tff(func_def_1741,type,
    aa_Product_unit_int: ( fun_Product_unit_int * product_unit ) > int ).

tff(func_def_1742,type,
    aa_Product_unit_nat: ( fun_Product_unit_nat * product_unit ) > nat ).

tff(func_def_1743,type,
    aa_Pro285642084240722380t_unit: ( fun_Pr5513535723070646483t_unit * product_unit ) > produc2470230561889619165t_unit ).

tff(func_def_1744,type,
    aa_Pro399436582157352231t_unit: ( fun_Pr5318341826863983862t_unit * product_unit ) > produc6865911496949736918t_unit ).

tff(func_def_1745,type,
    aa_Pro3283014634955171971t_unit: ( fun_Pr3763555631386913362t_unit * product_unit ) > produc526117512892780850t_unit ).

tff(func_def_1746,type,
    aa_Pro457057934763163478t_unit: ( fun_Pr9137895030342395229t_unit * product_unit ) > produc8459935480633519975t_unit ).

tff(func_def_1747,type,
    aa_Pro8294289767544744956t_unit: ( fun_Pr2191293291710260995t_unit * product_unit ) > product_unit ).

tff(func_def_1748,type,
    aa_Product_unit_rat: ( fun_Product_unit_rat * product_unit ) > rat ).

tff(func_def_1749,type,
    aa_Pro8006899289762625252nteger: ( fun_Pr1789781366282006579nteger * product_unit ) > set_Code_integer ).

tff(func_def_1750,type,
    aa_Pro7840682478599689702t_bool: ( fun_Pr6388117812002676717t_bool * product_unit ) > set_bool ).

tff(func_def_1751,type,
    aa_Pro1886178141017053491et_int: ( fun_Pr8362234881679108866et_int * product_unit ) > set_int ).

tff(func_def_1752,type,
    aa_Pro6064029160526250199et_nat: ( fun_Pr1628945989756059814et_nat * product_unit ) > set_nat ).

tff(func_def_1753,type,
    aa_Pro234974305641502940t_unit: ( fun_Pr3013102738158121955t_unit * product_unit ) > set_Product_unit ).

tff(func_def_1754,type,
    aa_Pro1095446373910179038t_bool: ( fun_Pr5562079387306038061t_bool * product_unit ) > fun_Pr1572506220757514509t_bool ).

tff(func_def_1755,type,
    aa_Pro1375803928533059540t_unit: ( fun_Pr3553901264588531491t_unit * product_unit ) > fun_Pr2191293291710260995t_unit ).

tff(func_def_1756,type,
    aa_Pro136467997921847252t_unit: ( fun_Pr7732015048784455459t_unit * product_unit ) > fun_se1968678328126148355t_unit ).

tff(func_def_1757,type,
    aa_rat_assn: ( fun_rat_assn * rat ) > assn ).

tff(func_def_1758,type,
    aa_rat_Code_integer: ( fun_rat_Code_integer * rat ) > code_integer ).

tff(func_def_1759,type,
    aa_rat_filter_nat: ( fun_rat_filter_nat * rat ) > filter_nat ).

tff(func_def_1760,type,
    aa_rat_bool: ( fun_rat_bool * rat ) > bool ).

tff(func_def_1761,type,
    aa_rat_int: ( fun_rat_int * rat ) > int ).

tff(func_def_1762,type,
    aa_rat_nat: ( fun_rat_nat * rat ) > nat ).

tff(func_def_1763,type,
    aa_rat7754553326175492643nt_int: ( fun_ra4503298312962071866nt_int * rat ) > product_prod_int_int ).

tff(func_def_1764,type,
    aa_rat_rat: ( fun_rat_rat * rat ) > rat ).

tff(func_def_1765,type,
    aa_rat_fun_rat_bool: ( fun_rat_fun_rat_bool * rat ) > fun_rat_bool ).

tff(func_def_1766,type,
    aa_rat_fun_rat_rat: ( fun_rat_fun_rat_rat * rat ) > fun_rat_rat ).

tff(func_def_1767,type,
    aa_set7873363181767135481r_assn: ( fun_se244736854054144952r_assn * set_Code_integer ) > assn ).

tff(func_def_1768,type,
    aa_set1374477347934578310r_bool: ( fun_se2712834123562403997r_bool * set_Code_integer ) > bool ).

tff(func_def_1769,type,
    aa_set4154159416444559777er_nat: ( fun_se5752938643995848800er_nat * set_Code_integer ) > nat ).

tff(func_def_1770,type,
    aa_set8622560600277679972nteger: ( fun_se1992738044240919715nteger * set_Code_integer ) > set_Code_integer ).

tff(func_def_1771,type,
    aa_set8732061614394825996r_bool: ( fun_se4340818509347730467r_bool * set_Code_integer ) > fun_se2712834123562403997r_bool ).

tff(func_def_1772,type,
    aa_set_bool_assn: ( fun_set_bool_assn * set_bool ) > assn ).

tff(func_def_1773,type,
    aa_set_bool_bool: ( fun_set_bool_bool * set_bool ) > bool ).

tff(func_def_1774,type,
    aa_set_bool_nat: ( fun_set_bool_nat * set_bool ) > nat ).

tff(func_def_1775,type,
    aa_set_bool_set_bool: ( fun_se1093428521897753731t_bool * set_bool ) > set_bool ).

tff(func_def_1776,type,
    aa_set36795378406917470l_bool: ( fun_se7834784120450421933l_bool * set_bool ) > fun_set_bool_bool ).

tff(func_def_1777,type,
    aa_set4734229006438377534t_bool: ( fun_se3394281818192328589t_bool * set_bool ) > fun_se1093428521897753731t_bool ).

tff(func_def_1778,type,
    aa_set_int_assn: ( fun_set_int_assn * set_int ) > assn ).

tff(func_def_1779,type,
    aa_set_int_bool: ( fun_set_int_bool * set_int ) > bool ).

tff(func_def_1780,type,
    aa_set_int_int: ( fun_set_int_int * set_int ) > int ).

tff(func_def_1781,type,
    aa_set_int_nat: ( fun_set_int_nat * set_int ) > nat ).

tff(func_def_1782,type,
    aa_set_int_set_int: ( fun_set_int_set_int * set_int ) > set_int ).

tff(func_def_1783,type,
    aa_set7694327796961020398t_bool: ( fun_se6049520964208396421t_bool * set_int ) > fun_set_int_bool ).

tff(func_def_1784,type,
    aa_set4234024024286713313et_int: ( fun_se6573205548028396576et_int * set_int ) > fun_set_int_set_int ).

tff(func_def_1785,type,
    aa_set_nat_assn: ( fun_set_nat_assn * set_nat ) > assn ).

tff(func_def_1786,type,
    aa_set_nat_bool: ( fun_set_nat_bool * set_nat ) > bool ).

tff(func_def_1787,type,
    aa_set_nat_int: ( fun_set_nat_int * set_nat ) > int ).

tff(func_def_1788,type,
    aa_set_nat_nat: ( fun_set_nat_nat * set_nat ) > nat ).

tff(func_def_1789,type,
    aa_set3979848162462698438et_nat: ( fun_se1339536933736954245et_nat * set_nat ) > produc3658429121746597890et_nat ).

tff(func_def_1790,type,
    aa_set3146235996904700003et_nat: ( fun_se9066322626600930210et_nat * set_nat ) > produc6108883039684432031et_nat ).

tff(func_def_1791,type,
    aa_set7438092518518805847nteger: ( fun_se5369538688796340886nteger * set_nat ) > set_Code_integer ).

tff(func_def_1792,type,
    aa_set_nat_set_nat: ( fun_set_nat_set_nat * set_nat ) > set_nat ).

tff(func_def_1793,type,
    aa_set7246812951530217472et_nat: ( fun_se3362872515591026879et_nat * set_nat ) > set_set_nat ).

tff(func_def_1794,type,
    aa_set6242977750710348305t_bool: ( fun_se9021057006710688848t_bool * set_nat ) > fun_he6201055237484778573t_bool ).

tff(func_def_1795,type,
    aa_set5116768664143533222t_bool: ( fun_se707272970763642173t_bool * set_nat ) > fun_set_nat_bool ).

tff(func_def_1796,type,
    aa_set2309701074089104077et_nat: ( fun_se1909708154429037836et_nat * set_nat ) > fun_set_nat_set_nat ).

tff(func_def_1797,type,
    aa_set6681470406643656025t_assn: ( fun_se2151927607522237480t_assn * set_Product_unit ) > assn ).

tff(func_def_1798,type,
    aa_set1740075525887584806t_bool: ( fun_se407542756755239981t_bool * set_Product_unit ) > bool ).

tff(func_def_1799,type,
    aa_set1974266514704922113it_nat: ( fun_se6196082035949986000it_nat * set_Product_unit ) > nat ).

tff(func_def_1800,type,
    aa_set8324764978855220220t_unit: ( fun_se1968678328126148355t_unit * set_Product_unit ) > set_Product_unit ).

tff(func_def_1801,type,
    aa_set8114490994033668318t_bool: ( fun_se3369753059466909485t_bool * set_Product_unit ) > fun_se407542756755239981t_bool ).

tff(func_def_1802,type,
    aa_set170811390870066356t_unit: ( fun_se2593093895363294211t_unit * set_Product_unit ) > fun_se1968678328126148355t_unit ).

tff(func_def_1803,type,
    aa_set_rat_bool: ( fun_set_rat_bool * set_rat ) > bool ).

tff(func_def_1804,type,
    aa_set586451247737764655r_assn: ( fun_se704019859950278126r_assn * set_set_Code_integer ) > assn ).

tff(func_def_1805,type,
    aa_set5348425839952492503er_nat: ( fun_se4682100207013029526er_nat * set_set_Code_integer ) > nat ).

tff(func_def_1806,type,
    aa_set_set_bool_assn: ( fun_se5532715864020165650l_assn * set_set_bool ) > assn ).

tff(func_def_1807,type,
    aa_set_set_bool_nat: ( fun_set_set_bool_nat * set_set_bool ) > nat ).

tff(func_def_1808,type,
    aa_set_set_int_assn: ( fun_set_set_int_assn * set_set_int ) > assn ).

tff(func_def_1809,type,
    aa_set_set_int_int: ( fun_set_set_int_int * set_set_int ) > int ).

tff(func_def_1810,type,
    aa_set_set_int_nat: ( fun_set_set_int_nat * set_set_int ) > nat ).

tff(func_def_1811,type,
    aa_set_set_nat_assn: ( fun_set_set_nat_assn * set_set_nat ) > assn ).

tff(func_def_1812,type,
    aa_set_set_nat_nat: ( fun_set_set_nat_nat * set_set_nat ) > nat ).

tff(func_def_1813,type,
    aa_set7364560454212353593t_assn: ( fun_se1813665818355946760t_assn * set_set_Product_unit ) > assn ).

tff(func_def_1814,type,
    aa_set1592508101343907553it_nat: ( fun_se6000990411501066672it_nat * set_set_Product_unit ) > nat ).

tff(func_def_1815,type,
    aa_set3226752938961784069l_bool: ( fun_se7275083947436752652l_bool * set_fu6080891106736489294t_bool ) > bool ).

tff(func_def_1816,type,
    aa_set1688612262892591164t_bool: ( fun_se973636082235158211t_bool * set_fu6080891106736489294t_bool ) > set_fu6080891106736489294t_bool ).

tff(func_def_1817,type,
    aa_set307687211604468053t_bool: ( fun_se2730912884141707428t_bool * set_fu6080891106736489294t_bool ) > fun_se973636082235158211t_bool ).

tff(func_def_1818,type,
    aa_fun4520394192108194424r_assn: ( fun_fu727159081937814839r_assn * fun_Co4490034186337852034r_assn ) > fun_se244736854054144952r_assn ).

tff(func_def_1819,type,
    aa_fun2509385170507305080nteger: ( fun_fu4800041728187187127nteger * fun_Co8499238673658658103nteger ) > fun_Pr5876161306168176259nteger ).

tff(func_def_1820,type,
    aa_fun597722859780706760er_nat: ( fun_fu6225000568980017287er_nat * fun_Code_integer_nat ) > fun_se5752938643995848800er_nat ).

tff(func_def_1821,type,
    aa_fun54488700877958172l_assn: ( fun_fu3065856773340909731l_assn * fun_bool_assn ) > fun_set_bool_assn ).

tff(func_def_1822,type,
    aa_fun1889439433174317814t_bool: ( fun_fu3299046182039849229t_bool * fun_bool_bool ) > set_bool ).

tff(func_def_1823,type,
    aa_fun4658466067253122076ol_nat: ( fun_fu9149972526633946275ol_nat * fun_bool_nat ) > fun_set_bool_nat ).

tff(func_def_1824,type,
    aa_fun6757465843467192982t_assn: ( fun_fu6757290529232567765t_assn * fun_int_assn ) > fun_set_int_assn ).

tff(func_def_1825,type,
    aa_fun5620219141652633706et_int: ( fun_fu5472281516858659385et_int * fun_int_bool ) > set_int ).

tff(func_def_1826,type,
    aa_fun5337148683239322782nt_int: ( fun_fu3260953082973683165nt_int * fun_int_int ) > fun_set_int_int ).

tff(func_def_1827,type,
    aa_fun5122536703717624806nt_nat: ( fun_fu1358573228874515237nt_nat * fun_int_nat ) > fun_set_int_nat ).

tff(func_def_1828,type,
    aa_fun7221275712416644062t_assn: ( fun_fu5799692449055808797t_assn * fun_nat_assn ) > fun_set_nat_assn ).

tff(func_def_1829,type,
    aa_fun765404039539318634et_nat: ( fun_fu8153070577022650169et_nat * fun_nat_bool ) > set_nat ).

tff(func_def_1830,type,
    aa_fun3777887704360129838at_nat: ( fun_fu8205514246900447853at_nat * fun_nat_nat ) > fun_set_nat_nat ).

tff(func_def_1831,type,
    aa_fun1993714536301460826l_assn: ( fun_fu1264473476461866025l_assn * fun_Pr6001797050664311790t_bool ) > assn ).

tff(func_def_1832,type,
    aa_fun5588795374382764133l_bool: ( fun_fu9160419385450930796l_bool * fun_Pr6001797050664311790t_bool ) > bool ).

tff(func_def_1833,type,
    aa_fun3196862416781185026ol_nat: ( fun_fu7614330534255538897ol_nat * fun_Pr6001797050664311790t_bool ) > nat ).

tff(func_def_1834,type,
    aa_fun4529855779559960667t_unit: ( fun_fu6572814390356972386t_unit * fun_Pr6001797050664311790t_bool ) > product_unit ).

tff(func_def_1835,type,
    aa_fun2423736616255546821nteger: ( fun_fu5184991215612278548nteger * fun_Pr6001797050664311790t_bool ) > set_Code_integer ).

tff(func_def_1836,type,
    aa_fun3324394592449524664et_nat: ( fun_fu8897467071111498631et_nat * fun_Pr6001797050664311790t_bool ) > set_nat ).

tff(func_def_1837,type,
    aa_fun2693101640963812586et_nat: ( fun_fu1426818202555147193et_nat * fun_Pr6001797050664311790t_bool ) > set_Pr3948176798113811640et_nat ).

tff(func_def_1838,type,
    aa_fun5656737950352238599et_nat: ( fun_fu7547279164713276502et_nat * fun_Pr6001797050664311790t_bool ) > set_Pr1106803562331729365et_nat ).

tff(func_def_1839,type,
    aa_fun6808777976510360636t_bool: ( fun_fu7398481913972163267t_bool * fun_Pr6001797050664311790t_bool ) > fun_Pr6001797050664311790t_bool ).

tff(func_def_1840,type,
    aa_fun1003322038264691679t_bool: ( fun_fu5758690788630904038t_bool * fun_Pr6001797050664311790t_bool ) > fun_Pr3073222722562426257t_bool ).

tff(func_def_1841,type,
    aa_fun4580269573335628190l_bool: ( fun_fu7365307207611327597l_bool * fun_Pr6001797050664311790t_bool ) > fun_fu9160419385450930796l_bool ).

tff(func_def_1842,type,
    aa_fun5848166259052469404t_assn: ( fun_fu3190366535859218979t_assn * fun_Pr6626665806141890376t_assn ) > fun_se2151927607522237480t_assn ).

tff(func_def_1843,type,
    aa_fun8395822974989265122t_unit: ( fun_fu3586949539055599609t_unit * fun_Pr1572506220757514509t_bool ) > set_Product_unit ).

tff(func_def_1844,type,
    aa_fun5089188478758539420it_nat: ( fun_fu8187493333656138275it_nat * fun_Product_unit_nat ) > fun_se6196082035949986000it_nat ).

tff(func_def_1845,type,
    aa_fun8162393684988594084t_bool: ( fun_fu5792599895934982715t_bool * fun_fu9160419385450930796l_bool ) > set_fu6080891106736489294t_bool ).

tff(func_def_1846,type,
    fFalse: bool ).

tff(func_def_1847,type,
    fNot: fun_bool_bool ).

tff(func_def_1848,type,
    fTrue: bool ).

tff(func_def_1849,type,
    fconj: fun_bo1841576699660343469l_bool ).

tff(func_def_1850,type,
    fdisj: fun_bo1841576699660343469l_bool ).

tff(func_def_1851,type,
    fequal_Code_integer: fun_Co8310303586393106575r_bool ).

tff(func_def_1852,type,
    fequal_bool: fun_bo1841576699660343469l_bool ).

tff(func_def_1853,type,
    fequal_int: fun_int_fun_int_bool ).

tff(func_def_1854,type,
    fequal_nat: fun_nat_fun_nat_bool ).

tff(func_def_1855,type,
    fequal_Product_unit: fun_Pr5562079387306038061t_bool ).

tff(func_def_1856,type,
    fequal8397250713278850627t_bool: fun_fu7365307207611327597l_bool ).

tff(func_def_1857,type,
    member_Code_integer: code_integer > fun_se2712834123562403997r_bool ).

tff(func_def_1858,type,
    member_bool: bool > fun_set_bool_bool ).

tff(func_def_1859,type,
    member_int: int > fun_set_int_bool ).

tff(func_def_1860,type,
    member_nat: nat > fun_set_nat_bool ).

tff(func_def_1861,type,
    member_Product_unit: product_unit > fun_se407542756755239981t_bool ).

tff(func_def_1862,type,
    member_rat: rat > fun_set_rat_bool ).

tff(func_def_1863,type,
    member4125802036136091927t_bool: fun_Pr6001797050664311790t_bool > fun_se7275083947436752652l_bool ).

tff(func_def_1864,type,
    h: produc3658429121746597890et_nat ).

tff(func_def_1865,type,
    sK6: fun_assn_bool > fun_Pr6001797050664311790t_bool ).

tff(func_def_1866,type,
    sK7: assn > fun_Pr6001797050664311790t_bool ).

tff(func_def_1867,type,
    sK8: ( fun_Pr6001797050664311790t_bool * assn ) > produc3658429121746597890et_nat ).

tff(func_def_1868,type,
    sK9: ( fun_Pr6001797050664311790t_bool * assn ) > produc3658429121746597890et_nat ).

tff(func_def_1869,type,
    sK10: ( assn * assn * produc3658429121746597890et_nat ) > heap_e7401611519738050253t_unit ).

tff(func_def_1870,type,
    sK11: ( assn * assn * produc3658429121746597890et_nat ) > set_nat ).

tff(func_def_1871,type,
    sK12: ( assn * assn * produc3658429121746597890et_nat ) > set_nat ).

tff(func_def_1872,type,
    sK13: ( assn * assn ) > produc3658429121746597890et_nat ).

tff(func_def_1873,type,
    sK14: ( assn * assn ) > produc3658429121746597890et_nat ).

tff(func_def_1874,type,
    sK15: assn > produc3658429121746597890et_nat ).

tff(func_def_1875,type,
    sK16: assn > produc3658429121746597890et_nat ).

tff(func_def_1876,type,
    sK17: produc3658429121746597890et_nat > heap_e7401611519738050253t_unit ).

tff(func_def_1877,type,
    sK18: produc3658429121746597890et_nat > set_nat ).

tff(func_def_1878,type,
    sK19: produc3658429121746597890et_nat > heap_e7401611519738050253t_unit ).

tff(func_def_1879,type,
    sK20: produc3658429121746597890et_nat > set_nat ).

tff(func_def_1880,type,
    sK21: ( produc3658429121746597890et_nat * bool ) > heap_e7401611519738050253t_unit ).

tff(func_def_1881,type,
    sK22: ( produc3658429121746597890et_nat * bool ) > set_nat ).

tff(func_def_1882,type,
    sK23: set_nat > nat ).

tff(func_def_1883,type,
    sK24: set_nat > nat ).

tff(func_def_1884,type,
    sK25: set_nat > nat ).

tff(func_def_1885,type,
    sK26: set_nat > nat ).

tff(func_def_1886,type,
    sK27: fun_Pr6001797050664311790t_bool > heap_e7401611519738050253t_unit ).

tff(func_def_1887,type,
    sK28: fun_Pr6001797050664311790t_bool > set_nat ).

tff(func_def_1888,type,
    sK29: ( set_nat * produc3658429121746597890et_nat ) > heap_e7401611519738050253t_unit ).

tff(func_def_1889,type,
    sK30: ( fun_fu9160419385450930796l_bool * fun_fu9160419385450930796l_bool ) > fun_Pr6001797050664311790t_bool ).

tff(func_def_1890,type,
    sK31: ( fun_fu9160419385450930796l_bool * fun_fu9160419385450930796l_bool ) > fun_Pr6001797050664311790t_bool ).

tff(func_def_1891,type,
    sK32: ( set_fu6080891106736489294t_bool * fun_fu9160419385450930796l_bool * fun_fu9160419385450930796l_bool ) > fun_Pr6001797050664311790t_bool ).

tff(func_def_1892,type,
    sK33: ( set_fu6080891106736489294t_bool * fun_fu9160419385450930796l_bool ) > fun_Pr6001797050664311790t_bool ).

tff(func_def_1893,type,
    sK34: fun_fu9160419385450930796l_bool > assn ).

tff(func_def_1894,type,
    sK35: fun_Pr6001797050664311790t_bool > assn ).

tff(func_def_1895,type,
    sK36: ( fun_fu9160419385450930796l_bool * fun_fu9160419385450930796l_bool ) > fun_Pr6001797050664311790t_bool ).

tff(func_def_1896,type,
    sK37: fun_fu9160419385450930796l_bool > fun_Pr6001797050664311790t_bool ).

tff(func_def_1897,type,
    sK38: fun_fu9160419385450930796l_bool > fun_Pr6001797050664311790t_bool ).

tff(func_def_1898,type,
    sK39: set_fu6080891106736489294t_bool > fun_Pr6001797050664311790t_bool ).

tff(func_def_1899,type,
    sK40: set_fu6080891106736489294t_bool > fun_Pr6001797050664311790t_bool ).

tff(func_def_1900,type,
    sK41: set_fu6080891106736489294t_bool > fun_Pr6001797050664311790t_bool ).

tff(func_def_1901,type,
    sK42: set_fu6080891106736489294t_bool > fun_Pr6001797050664311790t_bool ).

tff(func_def_1902,type,
    sK43: ( set_nat * set_nat ) > nat ).

tff(func_def_1903,type,
    sK44: ( set_nat * set_nat ) > nat ).

tff(func_def_1904,type,
    sK45: ( set_nat * set_nat ) > nat ).

tff(func_def_1905,type,
    sK46: ( set_nat * set_nat ) > nat ).

tff(func_def_1906,type,
    sK47: ( set_nat * set_nat ) > nat ).

tff(func_def_1907,type,
    sK48: ( set_nat * set_nat * fun_nat_bool ) > nat ).

tff(func_def_1908,type,
    sK49: ( set_nat * fun_nat_bool ) > nat ).

tff(func_def_1909,type,
    sK50: ( set_nat * fun_nat_bool ) > nat ).

tff(func_def_1910,type,
    sK51: ( set_nat * fun_nat_bool ) > nat ).

tff(func_def_1911,type,
    sK52: ( set_nat * fun_nat_bool ) > nat ).

tff(func_def_1912,type,
    sK53: ( set_nat * set_nat * fun_nat_bool ) > nat ).

tff(func_def_1913,type,
    sK54: ( set_nat * set_nat * set_nat ) > set_nat ).

tff(func_def_1914,type,
    sK55: ( set_nat * set_nat * set_nat ) > set_nat ).

tff(func_def_1915,type,
    sK56: produc3658429121746597890et_nat > heap_e7401611519738050253t_unit ).

tff(func_def_1916,type,
    sK57: produc3658429121746597890et_nat > set_nat ).

tff(func_def_1917,type,
    sK58: produc3658429121746597890et_nat > heap_e7401611519738050253t_unit ).

tff(func_def_1918,type,
    sK59: produc3658429121746597890et_nat > set_nat ).

tff(func_def_1919,type,
    sK60: produc3658429121746597890et_nat > heap_e7401611519738050253t_unit ).

tff(func_def_1920,type,
    sK61: produc3658429121746597890et_nat > set_nat ).

tff(func_def_1921,type,
    sK62: ( set_fu6080891106736489294t_bool * fun_se7275083947436752652l_bool ) > fun_Pr6001797050664311790t_bool ).

tff(func_def_1922,type,
    sK63: ( set_fu6080891106736489294t_bool * fun_se7275083947436752652l_bool ) > set_fu6080891106736489294t_bool ).

tff(func_def_1923,type,
    sK64: ( set_fu6080891106736489294t_bool * fun_se7275083947436752652l_bool ) > fun_Pr6001797050664311790t_bool ).

tff(func_def_1924,type,
    sK65: ( set_fu6080891106736489294t_bool * fun_se7275083947436752652l_bool ) > set_fu6080891106736489294t_bool ).

tff(func_def_1925,type,
    sK66: set_fu6080891106736489294t_bool > fun_Pr6001797050664311790t_bool ).

tff(func_def_1926,type,
    sK67: ( set_fu6080891106736489294t_bool * set_fu6080891106736489294t_bool ) > fun_Pr6001797050664311790t_bool ).

tff(func_def_1927,type,
    sK68: ( set_fu6080891106736489294t_bool * set_fu6080891106736489294t_bool ) > fun_Pr6001797050664311790t_bool ).

tff(func_def_1928,type,
    sK69: ( set_fu6080891106736489294t_bool * set_fu6080891106736489294t_bool ) > fun_Pr6001797050664311790t_bool ).

tff(func_def_1929,type,
    sK70: ( set_fu6080891106736489294t_bool * set_fu6080891106736489294t_bool ) > fun_Pr6001797050664311790t_bool ).

tff(func_def_1930,type,
    sK71: ( set_fu6080891106736489294t_bool * set_fu6080891106736489294t_bool ) > fun_Pr6001797050664311790t_bool ).

tff(func_def_1931,type,
    sK72: ( set_fu6080891106736489294t_bool * set_fu6080891106736489294t_bool ) > fun_Pr6001797050664311790t_bool ).

tff(func_def_1932,type,
    sK73: ( set_fu6080891106736489294t_bool * set_fu6080891106736489294t_bool ) > fun_Pr6001797050664311790t_bool ).

tff(func_def_1933,type,
    sK74: ( set_fu6080891106736489294t_bool * set_fu6080891106736489294t_bool ) > fun_Pr6001797050664311790t_bool ).

tff(func_def_1934,type,
    sK75: ( nat * set_nat ) > set_nat ).

tff(func_def_1935,type,
    sK76: ( set_nat * set_nat * nat * nat ) > set_nat ).

tff(func_def_1936,type,
    sK77: ( nat * set_nat ) > set_nat ).

tff(func_def_1937,type,
    sK78: set_nat > nat ).

tff(func_def_1938,type,
    sK79: ( set_nat * set_nat ) > nat ).

tff(func_def_1939,type,
    sK80: ( set_nat * set_nat ) > nat ).

tff(func_def_1940,type,
    sK81: ( set_nat * set_nat ) > nat ).

tff(func_def_1941,type,
    sK82: fun_assn_assn > assn ).

tff(func_def_1942,type,
    sK83: fun_assn_assn > assn ).

tff(func_def_1943,type,
    sK84: fun_assn_assn > assn ).

tff(func_def_1944,type,
    sK85: fun_assn_assn > assn ).

tff(func_def_1945,type,
    sK86: fun_assn_assn > assn ).

tff(func_def_1946,type,
    sK87: fun_assn_assn > assn ).

tff(func_def_1947,type,
    sK88: fun_assn_assn > assn ).

tff(func_def_1948,type,
    sK89: fun_assn_assn > assn ).

tff(func_def_1949,type,
    sK90: set_fu6080891106736489294t_bool > set_fu6080891106736489294t_bool ).

tff(func_def_1950,type,
    sK91: set_fu6080891106736489294t_bool > fun_Pr6001797050664311790t_bool ).

tff(func_def_1951,type,
    sK92: set_fu6080891106736489294t_bool > set_fu6080891106736489294t_bool ).

tff(func_def_1952,type,
    sK93: set_fu6080891106736489294t_bool > fun_Pr6001797050664311790t_bool ).

tff(func_def_1953,type,
    sK94: fun_se7275083947436752652l_bool > fun_Pr6001797050664311790t_bool ).

tff(func_def_1954,type,
    sK95: fun_se7275083947436752652l_bool > set_fu6080891106736489294t_bool ).

tff(func_def_1955,type,
    sK96: fun_se7275083947436752652l_bool > fun_Pr6001797050664311790t_bool ).

tff(func_def_1956,type,
    sK97: fun_se7275083947436752652l_bool > set_fu6080891106736489294t_bool ).

tff(func_def_1957,type,
    sK98: fun_se7275083947436752652l_bool > fun_Pr6001797050664311790t_bool ).

tff(func_def_1958,type,
    sK99: fun_se7275083947436752652l_bool > fun_Pr6001797050664311790t_bool ).

tff(func_def_1959,type,
    sK100: fun_se7275083947436752652l_bool > set_fu6080891106736489294t_bool ).

tff(func_def_1960,type,
    sK101: fun_se7275083947436752652l_bool > set_fu6080891106736489294t_bool ).

tff(func_def_1961,type,
    sK102: ( fun_Pr6001797050664311790t_bool * set_fu6080891106736489294t_bool ) > set_fu6080891106736489294t_bool ).

tff(func_def_1962,type,
    sK103: ( set_fu6080891106736489294t_bool * set_fu6080891106736489294t_bool * fun_Pr6001797050664311790t_bool * fun_Pr6001797050664311790t_bool ) > set_fu6080891106736489294t_bool ).

tff(func_def_1963,type,
    sK104: ( fun_Pr6001797050664311790t_bool * set_fu6080891106736489294t_bool ) > set_fu6080891106736489294t_bool ).

tff(pred_def_1,type,
    bNF_re9130850084932126070nteger: ( fun_in5519481650651148416r_bool * fun_fu6750301411456490045r_bool * fun_int_fun_int_int * fun_Co1981900195452921617nteger ) > $o ).

tff(pred_def_2,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_3,type,
    bNF_re1400205106991740995atural: ( fun_na7327111457444404817l_bool * fun_fu3307002049327355231l_bool * fun_nat_fun_nat_nat * fun_Co6813818151677833714atural ) > $o ).

tff(pred_def_4,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_5,type,
    bNF_re1394333895916556125l_bool: ( fun_Pr3099820731930151597t_bool * fun_bo1841576699660343469l_bool * fun_Pr803113274115125473t_bool * fun_Pr803113274115125473t_bool ) > $o ).

tff(pred_def_6,type,
    bNF_re4734134812813710757nt_int: ( fun_Pr3099820731930151597t_bool * fun_fu2754956555950464963t_bool * fun_Pr1308109350235310159nt_int * fun_Pr1308109350235310159nt_int ) > $o ).

tff(pred_def_7,type,
    bNF_re3535474257078034868l_bool: ( fun_Pr3145601080792579042t_bool * fun_bo1841576699660343469l_bool * fun_Pr803113274115125473t_bool * fun_rat_bool ) > $o ).

tff(pred_def_8,type,
    bNF_re6323452265856231590at_rat: ( fun_Pr3145601080792579042t_bool * fun_fu2749353902725170073t_bool * fun_Pr1308109350235310159nt_int * fun_rat_fun_rat_rat ) > $o ).

tff(pred_def_9,type,
    bNF_re8869769828555196650nt_int: ( fun_Pr5932607294251420486t_bool * fun_fu4671764723984660721t_bool * fun_Pr2477239776880934807at_nat * fun_int_fun_int_int ) > $o ).

tff(pred_def_10,type,
    bNF_re6214786843070381989at_nat: ( fun_Pr248683899324676269t_bool * fun_fu4272674133525273539t_bool * fun_Pr2477239776880934807at_nat * fun_Pr2477239776880934807at_nat ) > $o ).

tff(pred_def_11,type,
    bNF_We28318286422397955l_bool: set_Pr8621012493645324487l_bool > $o ).

tff(pred_def_12,type,
    bNF_We3815749466139970368el_int: set_Pr958786334691620121nt_int > $o ).

tff(pred_def_13,type,
    bNF_We3818239936649020644el_nat: set_Pr1261947904930325089at_nat > $o ).

tff(pred_def_14,type,
    bNF_We2091578341578594809t_unit: set_Pr5094982260447487303t_unit > $o ).

tff(pred_def_15,type,
    bNF_We822151210758303706t_bool: set_Pr2055239900342597383t_bool > $o ).

tff(pred_def_16,type,
    condit4029664723990530684er_nat: set_filter_nat > $o ).

tff(pred_def_17,type,
    condit5477540289124974626et_nat: set_set_nat > $o ).

tff(pred_def_18,type,
    condit3133331395780078992er_nat: set_filter_nat > $o ).

tff(pred_def_19,type,
    condit68592940725977398et_nat: set_set_nat > $o ).

tff(pred_def_20,type,
    unique5706413561485394159nteger: produc8923325533196201883nteger > $o ).

tff(pred_def_21,type,
    equiv_equiv_bool: ( set_bool * set_Pr8621012493645324487l_bool ) > $o ).

tff(pred_def_22,type,
    equiv_equiv_int: ( set_int * set_Pr958786334691620121nt_int ) > $o ).

tff(pred_def_23,type,
    equiv_equiv_nat: ( set_nat * set_Pr1261947904930325089at_nat ) > $o ).

tff(pred_def_24,type,
    equiv_4189356295871601603t_unit: ( set_Product_unit * set_Pr5094982260447487303t_unit ) > $o ).

tff(pred_def_25,type,
    equiv_4432477783333310372t_bool: ( set_fu6080891106736489294t_bool * set_Pr2055239900342597383t_bool ) > $o ).

tff(pred_def_26,type,
    eventually_nat: ( fun_nat_bool * filter_nat ) > $o ).

tff(pred_def_27,type,
    eventu1038000079068216329at_nat: ( fun_Pr7757163693017731481t_bool * filter1242075044329608583at_nat ) > $o ).

tff(pred_def_28,type,
    filterlim_nat_nat: ( fun_nat_nat * filter_nat * filter_nat ) > $o ).

tff(pred_def_29,type,
    filter3212408913953519116et_nat: ( fun_nat_set_nat * filter_set_nat * filter_nat ) > $o ).

tff(pred_def_30,type,
    frequently_nat: ( fun_nat_bool * filter_nat ) > $o ).

tff(pred_def_31,type,
    finite_finite_assn: set_assn > $o ).

tff(pred_def_32,type,
    finite2119507909894593271er_nat: set_filter_nat > $o ).

tff(pred_def_33,type,
    finite2154694888287295812nteger: set_Pr4811707699266497531nteger > $o ).

tff(pred_def_34,type,
    finite4996374594527322935er_nat: set_Pr8986988648414616686er_nat > $o ).

tff(pred_def_35,type,
    finite2998713641127702882nt_int: set_Pr958786334691620121nt_int > $o ).

tff(pred_def_36,type,
    finite1154042800025562295nteger: set_Pr2406931829603198446nteger > $o ).

tff(pred_def_37,type,
    finite6177210948735845034at_nat: set_Pr1261947904930325089at_nat > $o ).

tff(pred_def_38,type,
    finite6931041176100689706nteger: set_set_Code_integer > $o ).

tff(pred_def_39,type,
    finite3197276090331229984t_bool: set_set_bool > $o ).

tff(pred_def_40,type,
    finite6197958912794628473et_int: set_set_int > $o ).

tff(pred_def_41,type,
    finite1152437895449049373et_nat: set_set_nat > $o ).

tff(pred_def_42,type,
    finite1772178364199683094t_unit: set_set_Product_unit > $o ).

tff(pred_def_43,type,
    finite6618725698128531319t_bool: set_se2501078297044592302t_bool > $o ).

tff(pred_def_44,type,
    inj_on20428373856169009nteger: ( fun_Pr5876161306168176259nteger * set_Pr4811707699266497531nteger ) > $o ).

tff(pred_def_45,type,
    inj_on_set_nat_nat: ( fun_set_nat_nat * set_set_nat ) > $o ).

tff(pred_def_46,type,
    biject2219996528949639174et_nat: set_Pr3948176798113811640et_nat > $o ).

tff(pred_def_47,type,
    bijective_int_int: set_Pr958786334691620121nt_int > $o ).

tff(pred_def_48,type,
    bijective_nat_nat: set_Pr1261947904930325089at_nat > $o ).

tff(pred_def_49,type,
    biject5596389841143135651et_nat: set_Pr1106803562331729365et_nat > $o ).

tff(pred_def_50,type,
    biject2138954951139011392et_nat: set_Pr9222568342844664434et_nat > $o ).

tff(pred_def_51,type,
    order_7347896163796790092n_bool: ( set_bool * set_Pr8621012493645324487l_bool ) > $o ).

tff(pred_def_52,type,
    order_4471489696718655927on_int: ( set_int * set_Pr958786334691620121nt_int ) > $o ).

tff(pred_def_53,type,
    order_4473980167227706203on_nat: ( set_nat * set_Pr1261947904930325089at_nat ) > $o ).

tff(pred_def_54,type,
    order_888282469287196226t_unit: ( set_Product_unit * set_Pr5094982260447487303t_unit ) > $o ).

tff(pred_def_55,type,
    order_3119608889403778851t_bool: ( set_fu6080891106736489294t_bool * set_Pr2055239900342597383t_bool ) > $o ).

tff(pred_def_56,type,
    order_1125242220542286092n_bool: ( set_bool * set_Pr8621012493645324487l_bool ) > $o ).

tff(pred_def_57,type,
    order_5248785102713058295on_int: ( set_int * set_Pr958786334691620121nt_int ) > $o ).

tff(pred_def_58,type,
    order_5251275573222108571on_nat: ( set_nat * set_Pr1261947904930325089at_nat ) > $o ).

tff(pred_def_59,type,
    order_2505591618835473410t_unit: ( set_Product_unit * set_Pr5094982260447487303t_unit ) > $o ).

tff(pred_def_60,type,
    order_3226389611936339171t_bool: ( set_fu6080891106736489294t_bool * set_Pr2055239900342597383t_bool ) > $o ).

tff(pred_def_61,type,
    order_356606258380141102n_bool: ( set_bool * set_Pr8621012493645324487l_bool ) > $o ).

tff(pred_def_62,type,
    order_4859164337913492053on_int: ( set_int * set_Pr958786334691620121nt_int ) > $o ).

tff(pred_def_63,type,
    order_4861654808422542329on_nat: ( set_nat * set_Pr1261947904930325089at_nat ) > $o ).

tff(pred_def_64,type,
    order_7534304569044981540t_unit: ( set_Product_unit * set_Pr5094982260447487303t_unit ) > $o ).

tff(pred_def_65,type,
    order_6302661058969054725t_bool: ( set_fu6080891106736489294t_bool * set_Pr2055239900342597383t_bool ) > $o ).

tff(pred_def_66,type,
    order_9180079782302410421n_bool: ( set_bool * set_Pr8621012493645324487l_bool ) > $o ).

tff(pred_def_67,type,
    order_2886507596567047182on_int: ( set_int * set_Pr958786334691620121nt_int ) > $o ).

tff(pred_def_68,type,
    order_2888998067076097458on_nat: ( set_nat * set_Pr1261947904930325089at_nat ) > $o ).

tff(pred_def_69,type,
    order_3164716736300062379t_unit: ( set_Product_unit * set_Pr5094982260447487303t_unit ) > $o ).

tff(pred_def_70,type,
    order_4468155009754743436t_bool: ( set_fu6080891106736489294t_bool * set_Pr2055239900342597383t_bool ) > $o ).

tff(pred_def_72,type,
    ord_less_eq_set_assn: ( set_assn * set_assn ) > $o ).

tff(pred_def_73,type,
    ord_le2426478655948331894er_nat: ( set_filter_nat * set_filter_nat ) > $o ).

tff(pred_def_74,type,
    ord_le4903435234951335757t_unit: ( set_he8644174446132254637t_unit * set_he8644174446132254637t_unit ) > $o ).

tff(pred_def_75,type,
    ord_le4880273282464405607l_bool: ( set_Pr8621012493645324487l_bool * set_Pr8621012493645324487l_bool ) > $o ).

tff(pred_def_76,type,
    ord_le2683581057423526316ol_nat: ( set_Pr7141997262790060364ol_nat * set_Pr7141997262790060364ol_nat ) > $o ).

tff(pred_def_77,type,
    ord_le8090042543978450200et_nat: ( set_Pr3948176798113811640et_nat * set_Pr3948176798113811640et_nat ) > $o ).

tff(pred_def_78,type,
    ord_le2843351958646193337nt_int: ( set_Pr958786334691620121nt_int * set_Pr958786334691620121nt_int ) > $o ).

tff(pred_def_79,type,
    ord_le5333435103577920093nt_nat: ( set_Pr3448869479623346877nt_nat * set_Pr3448869479623346877nt_nat ) > $o ).

tff(pred_def_80,type,
    ord_le3146513528884898305at_nat: ( set_Pr1261947904930325089at_nat * set_Pr1261947904930325089at_nat ) > $o ).

tff(pred_def_81,type,
    ord_le8121013740822022818it_nat: ( set_Pr1763845938948868674it_nat * set_Pr1763845938948868674it_nat ) > $o ).

tff(pred_def_82,type,
    ord_le930853871177014503t_unit: ( set_Pr5094982260447487303t_unit * set_Pr5094982260447487303t_unit ) > $o ).

tff(pred_def_83,type,
    ord_le3002843043224092775t_bool: ( set_Pr3642346839158376647t_bool * set_Pr3642346839158376647t_bool ) > $o ).

tff(pred_def_84,type,
    ord_le1436784781161120549et_int: ( set_Pr2522554150109002629et_int * set_Pr2522554150109002629et_int ) > $o ).

tff(pred_def_85,type,
    ord_le4402255868550298733et_nat: ( set_Pr5488025237498180813et_nat * set_Pr5488025237498180813et_nat ) > $o ).

tff(pred_def_86,type,
    ord_le8072594200992201959t_unit: ( set_Pr3980508049012409671t_unit * set_Pr3980508049012409671t_unit ) > $o ).

tff(pred_def_87,type,
    ord_le1031872854369948327t_bool: ( set_Pr6448005306607475463t_bool * set_Pr6448005306607475463t_bool ) > $o ).

tff(pred_def_88,type,
    ord_le8397105180484259331ol_nat: ( set_Pr1200603583047724451ol_nat * set_Pr1200603583047724451ol_nat ) > $o ).

tff(pred_def_89,type,
    ord_le8271263703964716597et_nat: ( set_Pr1106803562331729365et_nat * set_Pr1106803562331729365et_nat ) > $o ).

tff(pred_def_90,type,
    ord_le4695037514429983442et_nat: ( set_Pr9222568342844664434et_nat * set_Pr9222568342844664434et_nat ) > $o ).

tff(pred_def_91,type,
    ord_le3787742356190064295t_bool: ( set_Pr2055239900342597383t_bool * set_Pr2055239900342597383t_bool ) > $o ).

tff(pred_def_92,type,
    ord_le1914454125413604393nteger: ( set_set_Code_integer * set_set_Code_integer ) > $o ).

tff(pred_def_93,type,
    ord_le6893508408891458716et_nat: ( set_set_nat * set_set_nat ) > $o ).

tff(pred_def_94,type,
    ord_le9131159989063066194et_nat: ( set_set_set_nat * set_set_set_nat ) > $o ).

tff(pred_def_95,type,
    order_mono_nat_nat: fun_nat_nat > $o ).

tff(pred_def_96,type,
    orderi2807725203697798511er_nat: ( fun_fi5759838706352575625t_bool * fun_fi5759838706352575625t_bool * filter_nat ) > $o ).

tff(pred_def_98,type,
    antisym_bool: set_Pr8621012493645324487l_bool > $o ).

tff(pred_def_99,type,
    antisym_int: set_Pr958786334691620121nt_int > $o ).

tff(pred_def_100,type,
    antisym_nat: set_Pr1261947904930325089at_nat > $o ).

tff(pred_def_101,type,
    antisym_Product_unit: set_Pr5094982260447487303t_unit > $o ).

tff(pred_def_102,type,
    antisy4100171945297298832t_bool: set_Pr2055239900342597383t_bool > $o ).

tff(pred_def_103,type,
    refl_on_bool: ( set_bool * set_Pr8621012493645324487l_bool ) > $o ).

tff(pred_def_104,type,
    refl_on_int: ( set_int * set_Pr958786334691620121nt_int ) > $o ).

tff(pred_def_105,type,
    refl_on_nat: ( set_nat * set_Pr1261947904930325089at_nat ) > $o ).

tff(pred_def_106,type,
    refl_on_Product_unit: ( set_Product_unit * set_Pr5094982260447487303t_unit ) > $o ).

tff(pred_def_107,type,
    refl_o2598595154728882157t_bool: ( set_fu6080891106736489294t_bool * set_Pr2055239900342597383t_bool ) > $o ).

tff(pred_def_108,type,
    single6620584844202787856et_nat: set_Pr3948176798113811640et_nat > $o ).

tff(pred_def_109,type,
    single6503947681363884253nt_int: set_Pr958786334691620121nt_int > $o ).

tff(pred_def_110,type,
    single5507084439971879973at_nat: set_Pr1261947904930325089at_nat > $o ).

tff(pred_def_111,type,
    single7605251130492230573et_nat: set_Pr1106803562331729365et_nat > $o ).

tff(pred_def_112,type,
    single1502109974202374986et_nat: set_Pr9222568342844664434et_nat > $o ).

tff(pred_def_113,type,
    total_on_bool: ( set_bool * set_Pr8621012493645324487l_bool ) > $o ).

tff(pred_def_114,type,
    total_on_int: ( set_int * set_Pr958786334691620121nt_int ) > $o ).

tff(pred_def_115,type,
    total_on_nat: ( set_nat * set_Pr1261947904930325089at_nat ) > $o ).

tff(pred_def_116,type,
    total_5665700600833547665t_unit: ( set_Product_unit * set_Pr5094982260447487303t_unit ) > $o ).

tff(pred_def_117,type,
    total_8389867087861513074t_bool: ( set_fu6080891106736489294t_bool * set_Pr2055239900342597383t_bool ) > $o ).

tff(pred_def_118,type,
    trans_int: set_Pr958786334691620121nt_int > $o ).

tff(pred_def_119,type,
    trans_nat: set_Pr1261947904930325089at_nat > $o ).

tff(pred_def_120,type,
    disjnt3293210047757910709t_bool: ( set_Pr4681767519595310322t_bool * set_Pr4681767519595310322t_bool ) > $o ).

tff(pred_def_121,type,
    disjnt7759068009871657124at_int: ( set_Pr7995236796853374141at_int * set_Pr7995236796853374141at_int ) > $o ).

tff(pred_def_122,type,
    disjnt2713546992526078024at_nat: ( set_Pr1261947904930325089at_nat * set_Pr1261947904930325089at_nat ) > $o ).

tff(pred_def_123,type,
    disjnt595863415355979947t_unit: ( set_Pr4334478416066269672t_unit * set_Pr4334478416066269672t_unit ) > $o ).

tff(pred_def_124,type,
    disjnt8822869406158504716t_bool: ( set_Pr6237782094582346185t_bool * set_Pr6237782094582346185t_bool ) > $o ).

tff(pred_def_125,type,
    pairwise_set_nat: ( fun_se707272970763642173t_bool * set_set_nat ) > $o ).

tff(pred_def_126,type,
    transi3136567867383547549ic_int: set_Pr958786334691620121nt_int > $o ).

tff(pred_def_127,type,
    transi3139058337892597825ic_nat: set_Pr1261947904930325089at_nat > $o ).

tff(pred_def_128,type,
    type_d7606044679298358466nteger: ( fun_Co1981900195452921617nteger * fun_fu5689865433563736081nteger * set_fu5818728815147633517nteger ) > $o ).

tff(pred_def_129,type,
    type_d3768499744764857476et_nat: ( fun_nat_set_nat * fun_set_nat_nat * set_set_nat ) > $o ).

tff(pred_def_130,type,
    accp_P709504461982814079et_nat: ( fun_Pr509543455618818233t_bool * produc4428605777065428680et_nat ) > $o ).

tff(pred_def_131,type,
    accp_P1312313000199092048nt_int: ( fun_Pr2240060361094050455t_bool * produc1306064898605085721nt_int ) > $o ).

tff(pred_def_132,type,
    accp_P2409395980843090604nt_int: ( fun_Pr4983655124978328031t_bool * produc2403147879249084277nt_int ) > $o ).

tff(pred_def_133,type,
    accp_P9078809943539461620at_nat: ( fun_Pr1014183174784581455t_bool * produc9072561841945455293at_nat ) > $o ).

tff(pred_def_134,type,
    accp_P952520887328684368at_nat: ( fun_Pr3757777938668859031t_bool * produc946272785734678041at_nat ) > $o ).

tff(pred_def_135,type,
    wf_bool: set_Pr8621012493645324487l_bool > $o ).

tff(pred_def_136,type,
    wf_int: set_Pr958786334691620121nt_int > $o ).

tff(pred_def_137,type,
    wf_nat: set_Pr1261947904930325089at_nat > $o ).

tff(pred_def_138,type,
    wf_Product_unit: set_Pr5094982260447487303t_unit > $o ).

tff(pred_def_139,type,
    wf_fun7137128425309918423t_bool: set_Pr2055239900342597383t_bool > $o ).

tff(pred_def_140,type,
    pred_c5891848916688490280nteger: ( set_set_Code_integer * fun_se4340818509347730467r_bool * set_set_Code_integer ) > $o ).

tff(pred_def_141,type,
    pred_chain_set_nat: ( set_set_nat * fun_se707272970763642173t_bool * set_set_nat ) > $o ).

tff(pred_def_142,type,
    member_assn: ( assn * set_assn ) > $o ).

tff(pred_def_143,type,
    member_filter_nat: ( filter_nat * set_filter_nat ) > $o ).

tff(pred_def_144,type,
    member242389114213480694t_unit: ( heap_e7401611519738050253t_unit * set_he8644174446132254637t_unit ) > $o ).

tff(pred_def_145,type,
    member157494554546826820nteger: ( produc8923325533196201883nteger * set_Pr4811707699266497531nteger ) > $o ).

tff(pred_def_146,type,
    member4869097156692242192l_bool: ( produc2804947525362035943l_bool * set_Pr8621012493645324487l_bool ) > $o ).

tff(pred_def_147,type,
    member7610053566481405321ol_int: ( produc5612625445546783218ol_int * set_Pr4651914117858333608ol_int ) > $o ).

tff(pred_def_148,type,
    member2564532549135826221ol_nat: ( produc567104428201204118ol_nat * set_Pr7141997262790060364ol_nat ) > $o ).

tff(pred_def_149,type,
    member4218132963037410310t_unit: ( produc2470230561889619165t_unit * set_Pr1363446236920669885t_unit ) > $o ).

tff(pred_def_150,type,
    member5046970461208427408t_unit: ( produc8126358835630522215t_unit * set_Pr1776176089890104647t_unit ) > $o ).

tff(pred_def_151,type,
    member6260224972018164377et_nat: ( produc3658429121746597890et_nat * set_Pr3948176798113811640et_nat ) > $o ).

tff(pred_def_152,type,
    member6873509652317582455t_bool: ( produc4876081531382960352t_bool * set_Pr4221484567948663702t_bool ) > $o ).

tff(pred_def_153,type,
    member5262025264175285858nt_int: ( product_prod_int_int * set_Pr958786334691620121nt_int ) > $o ).

tff(pred_def_154,type,
    member216504246829706758nt_nat: ( product_prod_int_nat * set_Pr3448869479623346877nt_nat ) > $o ).

tff(pred_def_155,type,
    member6688357403439981677t_unit: ( produc6865911496949736918t_unit * set_Pr5889264611543340172t_unit ) > $o ).

tff(pred_def_156,type,
    member774428581931430867t_bool: ( produc8000372497851584572t_bool * set_Pr4681767519595310322t_bool ) > $o ).

tff(pred_def_157,type,
    member4262671552274231302at_int: ( product_prod_nat_int * set_Pr7995236796853374141at_int ) > $o ).

tff(pred_def_158,type,
    member8440522571783428010at_nat: ( product_prod_nat_nat * set_Pr1261947904930325089at_nat ) > $o ).

tff(pred_def_159,type,
    member348563419383025609t_unit: ( produc526117512892780850t_unit * set_Pr4334478416066269672t_unit ) > $o ).

tff(pred_def_160,type,
    member6099555550032318734et_nat: ( produc8111630337999740517et_nat * set_Pr719794911490849221et_nat ) > $o ).

tff(pred_def_161,type,
    member6132626194333089835et_nat: ( produc4587776716583620738et_nat * set_Pr8177988689565181538et_nat ) > $o ).

tff(pred_def_162,type,
    member4630961240699820152t_bool: ( produc2123963014314306273t_bool * set_Pr8919652553310308119t_bool ) > $o ).

tff(pred_def_163,type,
    member8566619992076573584nt_int: ( produc1219242969750017639nt_int * set_Pr2560585780119916871nt_int ) > $o ).

tff(pred_def_164,type,
    member2930414080797523088nt_nat: ( produc4806409095325742951nt_nat * set_Pr5696620967126086215nt_nat ) > $o ).

tff(pred_def_165,type,
    member4619661753630440592at_int: ( produc6495656768158660455at_int * set_Pr5557702248415638087at_int ) > $o ).

tff(pred_def_166,type,
    member8206827879206165904at_nat: ( produc859450856879609959at_nat * set_Pr8693737435421807431at_nat ) > $o ).

tff(pred_def_167,type,
    member7581552994067238315et_nat: ( produc6036703516317769218et_nat * set_Pr8548855242995119074et_nat ) > $o ).

tff(pred_def_168,type,
    member2599368984600772040et_nat: ( produc586578377766392095et_nat * set_Pr4255865656320958847et_nat ) > $o ).

tff(pred_def_169,type,
    member8244610703155458331t_bool: ( produc6968460846966063236t_bool * set_Pr222142748458615354t_bool ) > $o ).

tff(pred_def_170,type,
    member3796744270619190146et_nat: ( produc8012095931379219673et_nat * set_Pr6041871929502663225et_nat ) > $o ).

tff(pred_def_171,type,
    member3899248101076784282t_bool: ( produc2151345699928993137t_bool * set_Pr1252729530486308177t_bool ) > $o ).

tff(pred_def_172,type,
    member5468524742225079679it_int: ( produc5646078835734834920it_int * set_Pr8497134830871917726it_int ) > $o ).

tff(pred_def_173,type,
    member423003724879500579it_nat: ( produc600557818389255820it_nat * set_Pr1763845938948868674it_nat ) > $o ).

tff(pred_def_174,type,
    member7821138191923116944t_unit: ( produc8459935480633519975t_unit * set_Pr5094982260447487303t_unit ) > $o ).

tff(pred_def_175,type,
    member4307123515891402160nteger: ( produc6491284506569428743nteger * set_Pr7577011563204128103nteger ) > $o ).

tff(pred_def_176,type,
    member7720219287410964240t_bool: ( produc6172120975061646567t_bool * set_Pr3642346839158376647t_bool ) > $o ).

tff(pred_def_177,type,
    member2572552093476627150et_int: ( produc2115011035271226405et_int * set_Pr2522554150109002629et_int ) > $o ).

tff(pred_def_178,type,
    member727419437372278867t_unit: ( produc7348995623955488188t_unit * set_Pr4071100604818519410t_unit ) > $o ).

tff(pred_def_179,type,
    member8277197624267554838et_nat: ( produc7819656566062154093et_nat * set_Pr5488025237498180813et_nat ) > $o ).

tff(pred_def_180,type,
    member4189953012975926160t_unit: ( produc1357844946079266663t_unit * set_Pr3980508049012409671t_unit ) > $o ).

tff(pred_def_181,type,
    member697743617432152400t_bool: ( produc1329698249991434023t_bool * set_Pr6448005306607475463t_bool ) > $o ).

tff(pred_def_182,type,
    member8615881266069945910et_nat: ( produc6108883039684432031et_nat * set_Pr1106803562331729365et_nat ) > $o ).

tff(pred_def_183,type,
    member2818932950976722259et_nat: ( produc1542783094787327164et_nat * set_Pr9222568342844664434et_nat ) > $o ).

tff(pred_def_184,type,
    member9182180520733025616t_bool: ( produc1469476007717053223t_bool * set_Pr2055239900342597383t_bool ) > $o ).

tff(pred_def_185,type,
    member1834298987299537450nteger: ( set_Code_integer * set_set_Code_integer ) > $o ).

tff(pred_def_186,type,
    member_set_bool: ( set_bool * set_set_bool ) > $o ).

tff(pred_def_187,type,
    member_set_int: ( set_int * set_set_int ) > $o ).

tff(pred_def_188,type,
    member_set_nat: ( set_nat * set_set_nat ) > $o ).

tff(pred_def_189,type,
    member5677415611378614000l_bool: ( set_Pr8621012493645324487l_bool * set_se3685025362742366375l_bool ) > $o ).

tff(pred_def_190,type,
    member2340774599025711042nt_int: ( set_Pr958786334691620121nt_int * set_se6260736226359567993nt_int ) > $o ).

tff(pred_def_191,type,
    member2643936169264416010at_nat: ( set_Pr1261947904930325089at_nat * set_se7855581050983116737at_nat ) > $o ).

tff(pred_def_192,type,
    member1248447801810324848t_unit: ( set_Pr5094982260447487303t_unit * set_se8994758365886191399t_unit ) > $o ).

tff(pred_def_193,type,
    member7311773401538532656t_bool: ( set_Pr2055239900342597383t_bool * set_se2897448282425263847t_bool ) > $o ).

tff(pred_def_194,type,
    member5877623283571906838t_unit: ( set_Product_unit * set_set_Product_unit ) > $o ).

tff(pred_def_195,type,
    member_set_set_nat: ( set_set_nat * set_set_set_nat ) > $o ).

tff(pred_def_196,type,
    member637156490218529911t_bool: ( set_fu6080891106736489294t_bool * set_se2501078297044592302t_bool ) > $o ).

tff(pred_def_197,type,
    pp: bool > $o ).

tff(pred_def_198,type,
    sP0: ( set_nat * set_nat * nat ) > $o ).

tff(pred_def_199,type,
    sP1: ( set_nat * set_nat * nat ) > $o ).

tff(pred_def_200,type,
    sP2: ( set_nat * set_nat * nat * nat ) > $o ).

tff(pred_def_201,type,
    sP3: ( nat * nat * set_nat * set_nat ) > $o ).

tff(pred_def_202,type,
    sP4: ( set_fu6080891106736489294t_bool * set_fu6080891106736489294t_bool * fun_Pr6001797050664311790t_bool * fun_Pr6001797050664311790t_bool ) > $o ).

tff(pred_def_203,type,
    sP5: ( fun_Pr6001797050664311790t_bool * fun_Pr6001797050664311790t_bool * set_fu6080891106736489294t_bool * set_fu6080891106736489294t_bool ) > $o ).

tff(f2,axiom,
    ! [X0: assn] : ( aa_fun1993714536301460826l_assn(abs_assn,aa_ass8975924923219239432t_bool(rep_assn,X0)) = X0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1_Rep__assn__inverse) ).

tff(f77,axiom,
    one_one_assn = aa_fun1993714536301460826l_assn(abs_assn,one_assn_raw),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_76_one__assn__def) ).

tff(f79,axiom,
    ! [X0: heap_e7401611519738050253t_unit,X1: set_nat] :
      ( pp(aa_Pro2991721470636411351t_bool(one_assn_raw,aa_set3979848162462698438et_nat(produc7507926704131184380et_nat(X0),X1)))
    <=> ( X1 = bot_bot_set_nat ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_78_one__assn__raw_Osimps) ).

tff(f82,axiom,
    ! [X0: produc3658429121746597890et_nat] :
      ( ~ pp(aa_Pro2991721470636411351t_bool(one_assn_raw,X0))
     => ~ ! [X1: heap_e7401611519738050253t_unit,X2: set_nat] :
            ( ( X0 = aa_set3979848162462698438et_nat(produc7507926704131184380et_nat(X1),X2) )
           => ( X2 = bot_bot_set_nat ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_81_one__assn__raw_Oelims_I3_J) ).

tff(f89,axiom,
    pp(aa_fun5588795374382764133l_bool(proper,one_assn_raw)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_88_one__assn__proper) ).

tff(f103,axiom,
    ! [X0: fun_Pr6001797050664311790t_bool,X1: fun_fu9160419385450930796l_bool] :
      ( pp(aa_set3226752938961784069l_bool(member4125802036136091927t_bool(X0),aa_fun8162393684988594084t_bool(collec3007137136614167897t_bool,X1)))
    <=> pp(aa_fun5588795374382764133l_bool(X1,X0)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_102_mem__Collect__eq) ).

tff(f118,axiom,
    ! [X0: fun_Pr6001797050664311790t_bool] :
      ( pp(aa_set3226752938961784069l_bool(member4125802036136091927t_bool(X0),aa_fun8162393684988594084t_bool(collec3007137136614167897t_bool,proper)))
     => ~ ! [X1: assn] : ( X0 != aa_ass8975924923219239432t_bool(rep_assn,X1) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_117_Rep__assn__cases) ).

tff(f120,axiom,
    ! [X0: assn] :
      ~ ! [X1: fun_Pr6001797050664311790t_bool] :
          ( ( X0 = aa_fun1993714536301460826l_assn(abs_assn,X1) )
         => ~ pp(aa_set3226752938961784069l_bool(member4125802036136091927t_bool(X1),aa_fun8162393684988594084t_bool(collec3007137136614167897t_bool,proper))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_119_Abs__assn__cases) ).

tff(f147,axiom,
    ! [X0: heap_e7401611519738050253t_unit,X1: set_nat] : ( aa_Pro3416150927818442182et_nat(produc8586169260539613262et_nat,aa_set3979848162462698438et_nat(produc7507926704131184380et_nat(X0),X1)) = X1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_146_snd__conv) ).

tff(f166,axiom,
    ! [X0: produc3658429121746597890et_nat] :
    ? [X1: heap_e7401611519738050253t_unit,X2: set_nat] : ( X0 = aa_set3979848162462698438et_nat(produc7507926704131184380et_nat(X1),X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_165_surj__pair) ).

tff(f7893,conjecture,
    ( pp(aa_Pro2991721470636411351t_bool(aa_ass8975924923219239432t_bool(rep_assn,aa_fun1993714536301460826l_assn(abs_assn,one_assn_raw)),h))
  <=> ( aa_Pro3416150927818442182et_nat(produc8586169260539613262et_nat,h) = bot_bot_set_nat ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0) ).

tff(f7894,negated_conjecture,
    ~ ( pp(aa_Pro2991721470636411351t_bool(aa_ass8975924923219239432t_bool(rep_assn,aa_fun1993714536301460826l_assn(abs_assn,one_assn_raw)),h))
    <=> ( aa_Pro3416150927818442182et_nat(produc8586169260539613262et_nat,h) = bot_bot_set_nat ) ),
    inference(negated_conjecture,[status(cth)],[f7893]) ).

tff(f7898,plain,
    ( pp(aa_Pro2991721470636411351t_bool(aa_ass8975924923219239432t_bool(rep_assn,aa_fun1993714536301460826l_assn(abs_assn,one_assn_raw)),h))
  <~> ( aa_Pro3416150927818442182et_nat(produc8586169260539613262et_nat,h) = bot_bot_set_nat ) ),
    inference(ennf_transformation,[],[f7894]) ).

tff(f7902,plain,
    ! [X0: assn] :
    ? [X1: fun_Pr6001797050664311790t_bool] :
      ( pp(aa_set3226752938961784069l_bool(member4125802036136091927t_bool(X1),aa_fun8162393684988594084t_bool(collec3007137136614167897t_bool,proper)))
      & ( X0 = aa_fun1993714536301460826l_assn(abs_assn,X1) ) ),
    inference(ennf_transformation,[],[f120]) ).

tff(f7911,plain,
    ! [X0: produc3658429121746597890et_nat] :
      ( ? [X1: heap_e7401611519738050253t_unit,X2: set_nat] :
          ( ( bot_bot_set_nat != X2 )
          & ( X0 = aa_set3979848162462698438et_nat(produc7507926704131184380et_nat(X1),X2) ) )
      | pp(aa_Pro2991721470636411351t_bool(one_assn_raw,X0)) ),
    inference(ennf_transformation,[],[f82]) ).

tff(f7932,plain,
    ! [X0: fun_Pr6001797050664311790t_bool] :
      ( ? [X1: assn] : ( aa_ass8975924923219239432t_bool(rep_assn,X1) = X0 )
      | ~ pp(aa_set3226752938961784069l_bool(member4125802036136091927t_bool(X0),aa_fun8162393684988594084t_bool(collec3007137136614167897t_bool,proper))) ),
    inference(ennf_transformation,[],[f118]) ).

tff(f8135,plain,
    ( ( ( bot_bot_set_nat != aa_Pro3416150927818442182et_nat(produc8586169260539613262et_nat,h) )
      | ~ pp(aa_Pro2991721470636411351t_bool(aa_ass8975924923219239432t_bool(rep_assn,aa_fun1993714536301460826l_assn(abs_assn,one_assn_raw)),h)) )
    & ( ( aa_Pro3416150927818442182et_nat(produc8586169260539613262et_nat,h) = bot_bot_set_nat )
      | pp(aa_Pro2991721470636411351t_bool(aa_ass8975924923219239432t_bool(rep_assn,aa_fun1993714536301460826l_assn(abs_assn,one_assn_raw)),h)) ) ),
    inference(nnf_transformation,[],[f7898]) ).

tff(f8138,plain,
    ! [X0: assn] :
      ( pp(aa_set3226752938961784069l_bool(member4125802036136091927t_bool(sK7(X0)),aa_fun8162393684988594084t_bool(collec3007137136614167897t_bool,proper)))
      & ( aa_fun1993714536301460826l_assn(abs_assn,sK7(X0)) = X0 ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK7]),skolemize(X1,sK7(X0))],[f7902]) ).

tff(f8151,plain,
    ! [X0: produc3658429121746597890et_nat] :
      ( ( ( bot_bot_set_nat != sK18(X0) )
        & ( aa_set3979848162462698438et_nat(produc7507926704131184380et_nat(sK17(X0)),sK18(X0)) = X0 ) )
      | pp(aa_Pro2991721470636411351t_bool(one_assn_raw,X0)) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK17,sK18]),skolemize(X1,sK17(X0)),skolemize(X2,sK18(X0))],[f7911]) ).

tff(f8156,plain,
    ! [X0: heap_e7401611519738050253t_unit,X1: set_nat] :
      ( ( pp(aa_Pro2991721470636411351t_bool(one_assn_raw,aa_set3979848162462698438et_nat(produc7507926704131184380et_nat(X0),X1)))
        | ( bot_bot_set_nat != X1 ) )
      & ( ( X1 = bot_bot_set_nat )
        | ~ pp(aa_Pro2991721470636411351t_bool(one_assn_raw,aa_set3979848162462698438et_nat(produc7507926704131184380et_nat(X0),X1))) ) ),
    inference(nnf_transformation,[],[f79]) ).

tff(f8178,plain,
    ! [X0: fun_Pr6001797050664311790t_bool] :
      ( ( aa_ass8975924923219239432t_bool(rep_assn,sK35(X0)) = X0 )
      | ~ pp(aa_set3226752938961784069l_bool(member4125802036136091927t_bool(X0),aa_fun8162393684988594084t_bool(collec3007137136614167897t_bool,proper))) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK35]),skolemize(X1,sK35(X0))],[f7932]) ).

tff(f8181,plain,
    ! [X0: fun_Pr6001797050664311790t_bool,X1: fun_fu9160419385450930796l_bool] :
      ( ( pp(aa_set3226752938961784069l_bool(member4125802036136091927t_bool(X0),aa_fun8162393684988594084t_bool(collec3007137136614167897t_bool,X1)))
        | ~ pp(aa_fun5588795374382764133l_bool(X1,X0)) )
      & ( pp(aa_fun5588795374382764133l_bool(X1,X0))
        | ~ pp(aa_set3226752938961784069l_bool(member4125802036136091927t_bool(X0),aa_fun8162393684988594084t_bool(collec3007137136614167897t_bool,X1))) ) ),
    inference(nnf_transformation,[],[f103]) ).

tff(f8248,plain,
    ! [X0: produc3658429121746597890et_nat] : ( aa_set3979848162462698438et_nat(produc7507926704131184380et_nat(sK56(X0)),sK57(X0)) = X0 ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK56,sK57]),skolemize(X1,sK56(X0)),skolemize(X2,sK57(X0))],[f166]) ).

tff(f8368,plain,
    ( pp(aa_Pro2991721470636411351t_bool(aa_ass8975924923219239432t_bool(rep_assn,aa_fun1993714536301460826l_assn(abs_assn,one_assn_raw)),h))
    | ( bot_bot_set_nat = aa_Pro3416150927818442182et_nat(produc8586169260539613262et_nat,h) ) ),
    inference(cnf_transformation,[],[f8135]) ).

tff(f8369,plain,
    ( ( bot_bot_set_nat != aa_Pro3416150927818442182et_nat(produc8586169260539613262et_nat,h) )
    | ~ pp(aa_Pro2991721470636411351t_bool(aa_ass8975924923219239432t_bool(rep_assn,aa_fun1993714536301460826l_assn(abs_assn,one_assn_raw)),h)) ),
    inference(cnf_transformation,[],[f8135]) ).

tff(f8374,plain,
    ! [X0: assn] : ( aa_fun1993714536301460826l_assn(abs_assn,sK7(X0)) = X0 ),
    inference(cnf_transformation,[],[f8138]) ).

tff(f8375,plain,
    ! [X0: assn] : pp(aa_set3226752938961784069l_bool(member4125802036136091927t_bool(sK7(X0)),aa_fun8162393684988594084t_bool(collec3007137136614167897t_bool,proper))),
    inference(cnf_transformation,[],[f8138]) ).

tff(f8381,plain,
    ! [X0: assn] : ( aa_fun1993714536301460826l_assn(abs_assn,aa_ass8975924923219239432t_bool(rep_assn,X0)) = X0 ),
    inference(cnf_transformation,[],[f2]) ).

tff(f8398,plain,
    pp(aa_fun5588795374382764133l_bool(proper,one_assn_raw)),
    inference(cnf_transformation,[],[f89]) ).

tff(f8399,plain,
    ! [X0: produc3658429121746597890et_nat] :
      ( ( aa_set3979848162462698438et_nat(produc7507926704131184380et_nat(sK17(X0)),sK18(X0)) = X0 )
      | pp(aa_Pro2991721470636411351t_bool(one_assn_raw,X0)) ),
    inference(cnf_transformation,[],[f8151]) ).

tff(f8400,plain,
    ! [X0: produc3658429121746597890et_nat] :
      ( ( bot_bot_set_nat != sK18(X0) )
      | pp(aa_Pro2991721470636411351t_bool(one_assn_raw,X0)) ),
    inference(cnf_transformation,[],[f8151]) ).

tff(f8409,plain,
    ! [X0: heap_e7401611519738050253t_unit,X1: set_nat] :
      ( ~ pp(aa_Pro2991721470636411351t_bool(one_assn_raw,aa_set3979848162462698438et_nat(produc7507926704131184380et_nat(X0),X1)))
      | ( bot_bot_set_nat = X1 ) ),
    inference(cnf_transformation,[],[f8156]) ).

tff(f8411,plain,
    one_one_assn = aa_fun1993714536301460826l_assn(abs_assn,one_assn_raw),
    inference(cnf_transformation,[],[f77]) ).

tff(f8425,plain,
    ! [X0: heap_e7401611519738050253t_unit,X1: set_nat] : ( aa_Pro3416150927818442182et_nat(produc8586169260539613262et_nat,aa_set3979848162462698438et_nat(produc7507926704131184380et_nat(X0),X1)) = X1 ),
    inference(cnf_transformation,[],[f147]) ).

tff(f8443,plain,
    ! [X0: fun_Pr6001797050664311790t_bool] :
      ( ~ pp(aa_set3226752938961784069l_bool(member4125802036136091927t_bool(X0),aa_fun8162393684988594084t_bool(collec3007137136614167897t_bool,proper)))
      | ( aa_ass8975924923219239432t_bool(rep_assn,sK35(X0)) = X0 ) ),
    inference(cnf_transformation,[],[f8178]) ).

tff(f8447,plain,
    ! [X0: fun_Pr6001797050664311790t_bool,X1: fun_fu9160419385450930796l_bool] :
      ( pp(aa_set3226752938961784069l_bool(member4125802036136091927t_bool(X0),aa_fun8162393684988594084t_bool(collec3007137136614167897t_bool,X1)))
      | ~ pp(aa_fun5588795374382764133l_bool(X1,X0)) ),
    inference(cnf_transformation,[],[f8181]) ).

tff(f8643,plain,
    ! [X0: produc3658429121746597890et_nat] : ( aa_set3979848162462698438et_nat(produc7507926704131184380et_nat(sK56(X0)),sK57(X0)) = X0 ),
    inference(cnf_transformation,[],[f8248]) ).

tff(f9102,plain,
    ! [X0: produc3658429121746597890et_nat] : ( aa_Pro3416150927818442182et_nat(produc8586169260539613262et_nat,X0) = sK57(X0) ),
    inference(superposition,[],[f8425,f8643]) ).

tff(f9105,plain,
    ( ( bot_bot_set_nat != sK57(h) )
    | ~ pp(aa_Pro2991721470636411351t_bool(aa_ass8975924923219239432t_bool(rep_assn,aa_fun1993714536301460826l_assn(abs_assn,one_assn_raw)),h)) ),
    inference(superposition,[],[f8369,f9102]) ).

tff(f9107,plain,
    ( ( bot_bot_set_nat != sK57(h) )
    | ~ pp(aa_Pro2991721470636411351t_bool(aa_ass8975924923219239432t_bool(rep_assn,one_one_assn),h)) ),
    inference(forward_demodulation,[],[f9105,f8411]) ).

tff(f9157,plain,
    ! [X0: produc3658429121746597890et_nat] :
      ( ~ pp(aa_Pro2991721470636411351t_bool(one_assn_raw,X0))
      | ( bot_bot_set_nat = sK57(X0) ) ),
    inference(superposition,[],[f8409,f8643]) ).

tff(f9303,plain,
    ! [X0: produc3658429121746597890et_nat] :
      ( ( aa_Pro3416150927818442182et_nat(produc8586169260539613262et_nat,X0) = sK18(X0) )
      | pp(aa_Pro2991721470636411351t_bool(one_assn_raw,X0)) ),
    inference(superposition,[],[f8425,f8399]) ).

tff(f9304,plain,
    ! [X0: produc3658429121746597890et_nat] :
      ( ( sK18(X0) = sK57(X0) )
      | pp(aa_Pro2991721470636411351t_bool(one_assn_raw,X0)) ),
    inference(forward_demodulation,[],[f9303,f9102]) ).

tff(f9306,plain,
    ! [X0: produc3658429121746597890et_nat] :
      ( ( bot_bot_set_nat != sK57(X0) )
      | pp(aa_Pro2991721470636411351t_bool(one_assn_raw,X0))
      | pp(aa_Pro2991721470636411351t_bool(one_assn_raw,X0)) ),
    inference(superposition,[],[f8400,f9304]) ).

tff(f9307,plain,
    ! [X0: produc3658429121746597890et_nat] :
      ( ( bot_bot_set_nat != sK57(X0) )
      | pp(aa_Pro2991721470636411351t_bool(one_assn_raw,X0)) ),
    inference(duplicate_literal_removal,[],[f9306]) ).

tff(f9564,plain,
    ! [X0: assn] : ( sK7(X0) = aa_ass8975924923219239432t_bool(rep_assn,sK35(sK7(X0))) ),
    inference(resolution,[],[f8443,f8375]) ).

tff(f9567,plain,
    ! [X0: fun_Pr6001797050664311790t_bool] :
      ( ( aa_ass8975924923219239432t_bool(rep_assn,sK35(X0)) = X0 )
      | ~ pp(aa_fun5588795374382764133l_bool(proper,X0)) ),
    inference(resolution,[],[f8443,f8447]) ).

tff(f9589,plain,
    ! [X0: assn] : ( aa_fun1993714536301460826l_assn(abs_assn,sK7(X0)) = sK35(sK7(X0)) ),
    inference(superposition,[],[f8381,f9564]) ).

tff(f9590,plain,
    ! [X0: assn] : ( sK35(sK7(X0)) = X0 ),
    inference(forward_demodulation,[],[f9589,f8374]) ).

tff(f9591,plain,
    ! [X0: assn] : ( aa_ass8975924923219239432t_bool(rep_assn,X0) = sK7(X0) ),
    inference(superposition,[],[f9564,f9590]) ).

tff(f9691,plain,
    ! [X0: fun_Pr6001797050664311790t_bool] :
      ( ( sK7(sK35(X0)) = X0 )
      | ~ pp(aa_fun5588795374382764133l_bool(proper,X0)) ),
    inference(forward_demodulation,[],[f9567,f9591]) ).

tff(f9695,plain,
    ! [X0: fun_Pr6001797050664311790t_bool] :
      ( ( aa_fun1993714536301460826l_assn(abs_assn,X0) = sK35(X0) )
      | ~ pp(aa_fun5588795374382764133l_bool(proper,X0)) ),
    inference(superposition,[],[f8374,f9691]) ).

tff(f9709,plain,
    ( ( one_one_assn = sK35(one_assn_raw) )
    | ~ pp(aa_fun5588795374382764133l_bool(proper,one_assn_raw)) ),
    inference(superposition,[],[f8411,f9695]) ).

tff(f9710,plain,
    ( pp(aa_Pro2991721470636411351t_bool(aa_ass8975924923219239432t_bool(rep_assn,sK35(one_assn_raw)),h))
    | ( bot_bot_set_nat = aa_Pro3416150927818442182et_nat(produc8586169260539613262et_nat,h) )
    | ~ pp(aa_fun5588795374382764133l_bool(proper,one_assn_raw)) ),
    inference(superposition,[],[f8368,f9695]) ).

tff(f9716,plain,
    ( pp(aa_Pro2991721470636411351t_bool(aa_ass8975924923219239432t_bool(rep_assn,sK35(one_assn_raw)),h))
    | ( bot_bot_set_nat = aa_Pro3416150927818442182et_nat(produc8586169260539613262et_nat,h) ) ),
    inference(forward_subsumption_resolution,[],[f9710,f8398]) ).

tff(f9717,plain,
    one_one_assn = sK35(one_assn_raw),
    inference(forward_subsumption_resolution,[],[f9709,f8398]) ).

tff(f9721,plain,
    ( pp(aa_Pro2991721470636411351t_bool(sK7(sK35(one_assn_raw)),h))
    | ( bot_bot_set_nat = aa_Pro3416150927818442182et_nat(produc8586169260539613262et_nat,h) ) ),
    inference(forward_demodulation,[],[f9716,f9591]) ).

tff(f9723,plain,
    ( pp(aa_Pro2991721470636411351t_bool(sK7(sK35(one_assn_raw)),h))
    | ( bot_bot_set_nat = sK57(h) ) ),
    inference(forward_demodulation,[],[f9721,f9102]) ).

tff(f9725,plain,
    ( pp(aa_Pro2991721470636411351t_bool(one_assn_raw,h))
    | ( bot_bot_set_nat = sK57(h) )
    | ~ pp(aa_fun5588795374382764133l_bool(proper,one_assn_raw)) ),
    inference(superposition,[],[f9723,f9691]) ).

tff(f9726,plain,
    ( pp(aa_Pro2991721470636411351t_bool(one_assn_raw,h))
    | ~ pp(aa_fun5588795374382764133l_bool(proper,one_assn_raw)) ),
    inference(forward_subsumption_resolution,[],[f9725,f9307]) ).

tff(f9727,plain,
    pp(aa_Pro2991721470636411351t_bool(one_assn_raw,h)),
    inference(forward_subsumption_resolution,[],[f9726,f8398]) ).

tff(f9728,plain,
    bot_bot_set_nat = sK57(h),
    inference(resolution,[],[f9727,f9157]) ).

tff(f9730,plain,
    ( ( bot_bot_set_nat != bot_bot_set_nat )
    | ~ pp(aa_Pro2991721470636411351t_bool(aa_ass8975924923219239432t_bool(rep_assn,one_one_assn),h)) ),
    inference(superposition,[],[f9107,f9728]) ).

tff(f9738,plain,
    ~ pp(aa_Pro2991721470636411351t_bool(aa_ass8975924923219239432t_bool(rep_assn,one_one_assn),h)),
    inference(trivial_inequality_removal,[],[f9730]) ).

tff(f9741,plain,
    ~ pp(aa_Pro2991721470636411351t_bool(sK7(one_one_assn),h)),
    inference(forward_demodulation,[],[f9738,f9591]) ).

tff(f9856,plain,
    ( ( one_assn_raw = sK7(one_one_assn) )
    | ~ pp(aa_fun5588795374382764133l_bool(proper,one_assn_raw)) ),
    inference(superposition,[],[f9691,f9717]) ).

tff(f9857,plain,
    one_assn_raw = sK7(one_one_assn),
    inference(forward_subsumption_resolution,[],[f9856,f8398]) ).

tff(f9880,plain,
    ~ pp(aa_Pro2991721470636411351t_bool(one_assn_raw,h)),
    inference(superposition,[],[f9741,f9857]) ).

tff(f9892,plain,
    $false,
    inference(forward_subsumption_resolution,[],[f9880,f9727]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : ITP211_1 : TPTP v9.3.1. Released v8.0.0.
% 0.00/0.06  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.38  % Computer : n007.cluster.edu
% 0.11/0.38  % Model    : x86_64 x86_64
% 0.11/0.38  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.38  % Memory   : 8046.5625MB
% 0.11/0.38  % OS       : Linux 6.8.0-71-generic
% 0.11/0.38  % CPULimit : 300
% 0.11/0.38  % WCLimit  : 300
% 0.11/0.38  % DateTime : Sun Sep 27 12:22:25 UTC 2026
% 0.11/0.38  % CPUTime  : 
% 0.11/0.38  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.43  Running first-order theorem proving
% 0.11/0.43  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
% 2.11/1.95  % (1333622)Detected formulas, will run a generic FOF schedule.
% 2.11/1.95  % (1333660)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=43047500:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2994 on theBenchmark for (2994ds/134677Mi)
% 2.11/1.95  % (1333659)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=2087152615:i=141193_2994 on theBenchmark for (2994ds/141193Mi)
% 2.11/1.95  % (1333663)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1092006539:i=119:av=off:ss=axioms_2994 on theBenchmark for (2994ds/119Mi)
% 2.11/1.95  % (1333662)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=944737740:i=109:sd=1:ins=1:gsp=on:ss=axioms_2994 on theBenchmark for (2994ds/109Mi)
% 2.11/1.95  % (1333661)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=1733917394:i=141695:sd=1:nm=32:gsp=on:ss=included_2994 on theBenchmark for (2994ds/141695Mi)
% 2.11/1.95  % (1333664)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=427309169:s2a=on:i=139:gtg=position_2994 on theBenchmark for (2994ds/139Mi)
% 2.11/1.95  % (1333665)dis-21_1_sil=8000:lcm=predicate:random_seed=478225045:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2994 on theBenchmark for (2994ds/129Mi)
% 2.11/1.95  % (1333662)Refutation not found, incomplete strategy
% 2.11/1.95  % (1333662)------------------------------
% 2.11/1.95  % (1333662)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.11/1.95  % (1333662)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.11/1.95  % (1333662)CaDiCaL version: 2.1.3
% 2.11/1.95  % (1333662)Termination reason: Refutation not found, incomplete strategy
% 2.11/1.95  % (1333662)Time elapsed: 0.037 s
% 2.11/1.95  % (1333662)Peak memory usage: 98 MB
% 2.11/1.95  % (1333662)Instructions burned: 51 (million)
% 2.11/1.95  % (1333664)Instruction limit reached! 
% 2.11/1.95  % (1333664)------------------------------
% 2.11/1.95  % (1333664)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.11/1.95  % (1333664)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.11/1.95  % (1333664)CaDiCaL version: 2.1.3
% 2.11/1.95  % (1333664)Termination reason: Instruction limit
% 2.11/1.95  % (1333664)Termination phase: Property scanning
% 2.11/1.95  % (1333664)Time elapsed: 0.056 s
% 2.11/1.95  % (1333664)Peak memory usage: 94 MB
% 2.11/1.95  % (1333664)Instructions burned: 140 (million)
% 2.11/1.95  % (1333663)First to succeed.
% 2.11/1.95  % (1333663)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-1333622"
% 2.11/1.95  % (1333665)Instruction limit reached! 
% 2.11/1.95  % (1333665)------------------------------
% 2.11/1.95  % (1333665)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.11/1.95  % (1333665)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.11/1.95  % (1333665)CaDiCaL version: 2.1.3
% 2.11/1.95  % (1333665)Termination reason: Instruction limit
% 2.11/1.95  % (1333665)Termination phase: Preprocessing 3
% 2.11/1.95  % (1333665)Time elapsed: 0.094 s
% 2.11/1.95  % (1333665)Peak memory usage: 99 MB
% 2.11/1.95  % (1333665)Instructions burned: 130 (million)
% 2.11/1.95  % (1333673)lrs+10_1_sil=8000:sp=occurrence:random_seed=2288054247:i=285:sd=3:ss=axioms:sgt=8_2992 on theBenchmark for (2992ds/285Mi)
% 2.11/1.95  % (1333674)lrs+10_1_sil=32000:urr=on:br=off:random_seed=240179693:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2991 on theBenchmark for (2991ds/157Mi)
% 2.11/1.95  % (1333662)------------------------------
% 2.11/1.95  % (1333662)------------------------------
% 2.11/1.95  % (1333673)Also succeeded, but the first one will report.
% 2.11/1.95  % (1333674)Instruction limit reached! 
% 2.11/1.95  % (1333674)------------------------------
% 2.11/1.95  % (1333674)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.11/1.95  % (1333674)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.11/1.95  % (1333674)CaDiCaL version: 2.1.3
% 2.11/1.95  % (1333674)Termination reason: Instruction limit
% 2.11/1.95  % (1333674)Termination phase: SInE selection
% 2.11/1.95  % (1333674)Time elapsed: 0.069 s
% 2.11/1.95  % (1333674)Peak memory usage: 94 MB
% 2.11/1.95  % (1333674)Instructions burned: 157 (million)
% 2.11/1.95  % (1333663)Refutation found. Thanks to Tanya!
% 2.11/1.95  % SZS status Theorem for theBenchmark
% 2.11/1.95  % SZS output start Proof for theBenchmark
% See solution above
% 4.95/2.15  % (1333663)------------------------------
% 4.95/2.15  % (1333663)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.95/2.15  % (1333663)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.95/2.15  % (1333663)CaDiCaL version: 2.1.3
% 4.95/2.15  % (1333663)Termination reason: Refutation
% 4.95/2.15  % (1333663)Time elapsed: 0.089 s
% 4.95/2.15  % (1333663)Peak memory usage: 98 MB
% 4.95/2.15  % (1333663)Instructions burned: 132 (million)
% 4.95/2.15  % (1333663)------------------------------
% 4.95/2.15  % (1333663)------------------------------
% 4.95/2.15  % (1333622)Success in time 1.075 s
% 4.95/2.15  % Vampire exiting
%------------------------------------------------------------------------------