Vampire---5.0.1.THM-Ref.s

%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : ITP219_3 : 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 : n020.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 11:30:31 AM UTC 2026

% Result   : Theorem 6.92s 2.22s
% Output   : Refutation 8.04s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   15 (  10 unt;   0 typ;   0 def)
%            Number of atoms       :   24 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   21 (  12   ~;   7   |;   0   &)
%                                         (   0 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   3 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of types       :  506 ( 505 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of predicates  :  545 ( 544 usr;   1 prp; 0-4 aty)
%            Number of functors    : 1533 (1533 usr; 294 con; 0-5 aty)
%            Number of variables   :   15 (  15   !;   0   ?;  15   :)

% Comments : 
%------------------------------------------------------------------------------
tff(type_def_5,type,
    set_Pr7057080801110549565et_nat: $tType ).

tff(type_def_6,type,
    produc505541996239113949et_nat: $tType ).

tff(type_def_7,type,
    fun_Pr3358449090565925198_nat_o: $tType ).

tff(type_def_8,type,
    set_Pr6949033248718891245nteger: $tType ).

tff(type_def_9,type,
    produc7379341420752632205nteger: $tType ).

tff(type_def_10,type,
    set_Pr3767905878465553991nt_int: $tType ).

tff(type_def_11,type,
    produc881187336974765031nt_int: $tType ).

tff(type_def_12,type,
    set_Pr9066344408807579265et_nat: $tType ).

tff(type_def_13,type,
    fun_se177437144654672861at_nat: $tType ).

tff(type_def_14,type,
    produc8893060842726229537et_nat: $tType ).

tff(type_def_15,type,
    set_Pr3703873761940759199nt_int: $tType ).

tff(type_def_16,type,
    list_P4783563340545138382et_nat: $tType ).

tff(type_def_17,type,
    set_Pr4040394263813967220et_nat: $tType ).

tff(type_def_18,type,
    fun_Pr1227177680593602867_nat_o: $tType ).

tff(type_def_19,type,
    produc3192696172498486335nt_int: $tType ).

tff(type_def_20,type,
    produc4193628355235574503at_nat: $tType ).

tff(type_def_21,type,
    produc3112576180687729086et_nat: $tType ).

tff(type_def_22,type,
    fun_fu2611741329380808165_nat_o: $tType ).

tff(type_def_23,type,
    produc1319942482725812455at_nat: $tType ).

tff(type_def_24,type,
    list_P6548900253507351021at_nat: $tType ).

tff(type_def_25,type,
    set_Pr5564308138774400199at_nat: $tType ).

tff(type_def_26,type,
    fun_se6846035212209387651at_nat: $tType ).

tff(type_def_27,type,
    produc1906917888121415911at_nat: $tType ).

tff(type_def_28,type,
    list_P2959130015091922598nteger: $tType ).

tff(type_def_29,type,
    fun_Pr5947183769845927726_nat_o: $tType ).

tff(type_def_30,type,
    set_Pr3486312109254157132nteger: $tType ).

tff(type_def_31,type,
    fun_Pr7015759342434529115eger_o: $tType ).

tff(type_def_32,type,
    produc9140211490168418807atural: $tType ).

tff(type_def_33,type,
    produc2453742332425399446nteger: $tType ).

tff(type_def_34,type,
    fun_fu7695273699059480439eger_o: $tType ).

tff(type_def_35,type,
    list_P2843741347166045587nt_int: $tType ).

tff(type_def_36,type,
    fun_Co9168753396221475450atural: $tType ).

tff(type_def_37,type,
    set_Pr6700895561065273913nt_int: $tType ).

tff(type_def_38,type,
    fun_Pr3540825087398332590_int_o: $tType ).

tff(type_def_39,type,
    list_P7236803063094035949_nat_o: $tType ).

tff(type_def_40,type,
    set_Pr2890355626087285447_nat_o: $tType ).

tff(type_def_41,type,
    produc3043004577601930755nt_int: $tType ).

tff(type_def_42,type,
    fun_fu6865642474282033866_int_o: $tType ).

tff(type_def_43,type,
    list_P8836981409019564976et_nat: $tType ).

tff(type_def_44,type,
    set_Pr1312406793078187350et_nat: $tType ).

tff(type_def_45,type,
    fun_Pr2620521676128474833_nat_o: $tType ).

tff(type_def_46,type,
    produc6671579610312156647_nat_o: $tType ).

tff(type_def_47,type,
    fun_fu4164567611050918574at_o_o: $tType ).

tff(type_def_48,type,
    produc3664700245209686448n_assn: $tType ).

tff(type_def_49,type,
    fun_Co1105491363547889651atural: $tType ).

tff(type_def_50,type,
    fun_Co1890133979025130057atural: $tType ).

tff(type_def_51,type,
    produc8799533983703829792et_nat: $tType ).

tff(type_def_52,type,
    fun_fu8419763957888848259_nat_o: $tType ).

tff(type_def_53,type,
    fun_fu3373238862511017284_nat_o: $tType ).

tff(type_def_54,type,
    fun_fu5323616038969315652_int_o: $tType ).

tff(type_def_55,type,
    fun_fu4800041728187187127nteger: $tType ).

tff(type_def_56,type,
    produc7476732711998919211atural: $tType ).

tff(type_def_57,type,
    produc7509114972854644512nteger: $tType ).

tff(type_def_58,type,
    list_f4306079564415238026e_term: $tType ).

tff(type_def_59,type,
    set_fu8280898353253485872e_term: $tType ).

tff(type_def_60,type,
    fun_he5234484606919320760it_nat: $tType ).

tff(type_def_61,type,
    fun_Pr7769407664385210434atural: $tType ).

tff(type_def_62,type,
    fun_Co5709460363461100952atural: $tType ).

tff(type_def_63,type,
    list_f280343417242313083e_term: $tType ).

tff(type_def_64,type,
    fun_Pr285225112257423215e_term: $tType ).

tff(type_def_65,type,
    fun_Pr5098669352780829690e_term: $tType ).

tff(type_def_66,type,
    set_fu5653557704672872225e_term: $tType ).

tff(type_def_67,type,
    fun_se3560235952666129655at_nat: $tType ).

tff(type_def_68,type,
    list_P932735248015874751nt_int: $tType ).

tff(type_def_69,type,
    set_Pr4166680992137330533nt_int: $tType ).

tff(type_def_70,type,
    fun_Pr1196100989263358594_int_o: $tType ).

tff(type_def_71,type,
    fun_Co1561183069634336733nteger: $tType ).

tff(type_def_72,type,
    set_Pr4333006031979791559at_nat: $tType ).

tff(type_def_73,type,
    set_Pr6863447823992824007n_assn: $tType ).

tff(type_def_74,type,
    fun_Pr7763680713840462443e_term: $tType ).

tff(type_def_75,type,
    produc4788131091073775919nt_int: $tType ).

tff(type_def_76,type,
    set_Pr8551490117392284871at_nat: $tType ).

tff(type_def_77,type,
    produc424102278133772007at_nat: $tType ).

tff(type_def_78,type,
    produc337509097454979815n_assn: $tType ).

tff(type_def_79,type,
    fun_fu2978539155105838238_int_o: $tType ).

tff(type_def_80,type,
    list_s4242580248156217677at_nat: $tType ).

tff(type_def_81,type,
    fun_li7722483182022397486assn_o: $tType ).

tff(type_def_82,type,
    produc6756470014200349799atural: $tType ).

tff(type_def_83,type,
    fun_Pr3592279944642289454ural_o: $tType ).

tff(type_def_84,type,
    produc4166570645942440679at_nat: $tType ).

tff(type_def_85,type,
    list_P5464809261938338413at_nat: $tType ).

tff(type_def_86,type,
    list_P28140577958321773n_assn: $tType ).

tff(type_def_87,type,
    fun_Pr2477239776880934807at_nat: $tType ).

tff(type_def_88,type,
    fun_Pr1308109350235310159nt_int: $tType ).

tff(type_def_89,type,
    set_Pr4329608150637261639at_nat: $tType ).

tff(type_def_90,type,
    set_Pr8116311503512020807n_assn: $tType ).

tff(type_def_91,type,
    fun_Pr3059359313727237556_nat_o: $tType ).

tff(type_def_92,type,
    fun_Pr5876161306168176259nteger: $tType ).

tff(type_def_93,type,
    fun_Pr1914754426620969278n_assn: $tType ).

tff(type_def_94,type,
    fun_fu4638078822479986034_int_o: $tType ).

tff(type_def_95,type,
    fun_fu4306744791715064858_rat_o: $tType ).

tff(type_def_96,type,
    fun_fu6699046866436802030_int_o: $tType ).

tff(type_def_97,type,
    option8956607266484857688it_nat: $tType ).

tff(type_def_98,type,
    produc3843707927480180839at_nat: $tType ).

tff(type_def_99,type,
    produc9053633027152450663n_assn: $tType ).

tff(type_def_100,type,
    fun_li8180627568681326368_nat_o: $tType ).

tff(type_def_101,type,
    fun_li197242686306560452_int_o: $tType ).

tff(type_def_102,type,
    set_Pr457366540195662369at_nat: $tType ).

tff(type_def_103,type,
    fun_fu3064074204415222357nt_int: $tType ).

tff(type_def_104,type,
    fun_fu1098312133097393581at_rat: $tType ).

tff(type_def_105,type,
    fun_na1668100129766719005at_nat: $tType ).

tff(type_def_106,type,
    fun_se5639961202347202350_nat_o: $tType ).

tff(type_def_107,type,
    fun_Pr5295903952624206638assn_o: $tType ).

tff(type_def_108,type,
    fun_fu9045186299510176150at_o_o: $tType ).

tff(type_def_109,type,
    fun_Co2470855966376689427nteger: $tType ).

tff(type_def_110,type,
    set_Pr488414391616402044st_nat: $tType ).

tff(type_def_111,type,
    set_Pr4898238009683259096st_int: $tType ).

tff(type_def_112,type,
    set_Pr7093487733527993602n_assn: $tType ).

tff(type_def_113,type,
    set_Pr4168565316758867366n_assn: $tType ).

tff(type_def_114,type,
    fun_li6524802329284821127st_d_o: $tType ).

tff(type_def_115,type,
    fun_li6977522988354981064st_c_o: $tType ).

tff(type_def_116,type,
    fun_li1100771141684871908_nat_o: $tType ).

tff(type_def_117,type,
    fun_li2340758296164881800_int_o: $tType ).

tff(type_def_118,type,
    fun_fu3790787410453625514o_assn: $tType ).

tff(type_def_119,type,
    fun_as3747249873083764768_nat_o: $tType ).

tff(type_def_120,type,
    list_P8469869581646625389at_nat: $tType ).

tff(type_def_121,type,
    fun_li8250322356051145156st_d_o: $tType ).

tff(type_def_122,type,
    fun_li8703043015121305093st_c_o: $tType ).

tff(type_def_123,type,
    fun_li2130474401912454595st_d_o: $tType ).

tff(type_def_124,type,
    fun_li2583195060982614532st_c_o: $tType ).

tff(type_def_125,type,
    set_Pr8693737435421807431at_nat: $tType ).

tff(type_def_126,type,
    produc8664842809031399944it_nat: $tType ).

tff(type_def_127,type,
    produc732395585841259969at_nat: $tType ).

tff(type_def_128,type,
    fun_se320340636488258563at_nat: $tType ).

tff(type_def_129,type,
    set_Pr1932065953672099015od_o_o: $tType ).

tff(type_def_130,type,
    produc6654255674790325574st_nat: $tType ).

tff(type_def_131,type,
    produc4164172529858598818st_int: $tType ).

tff(type_def_132,type,
    produc2555908794901494476n_assn: $tType ).

tff(type_def_133,type,
    produc8582807064127716720n_assn: $tType ).

tff(type_def_134,type,
    list_f5222602229612168821_nat_o: $tType ).

tff(type_def_135,type,
    set_fu3555266933746557007_nat_o: $tType ).

tff(type_def_136,type,
    fun_fu5135969500543783852at_o_o: $tType ).

tff(type_def_137,type,
    fun_na8713714802964096592at_nat: $tType ).

tff(type_def_138,type,
    fun_li3404705325679423581_nat_o: $tType ).

tff(type_def_139,type,
    fun_li3476655817902384897_int_o: $tType ).

tff(type_def_140,type,
    fun_li1697075967554290497assn_o: $tType ).

tff(type_def_141,type,
    fun_li6324434278616229789assn_o: $tType ).

tff(type_def_142,type,
    produc5835291356934675326atural: $tType ).

tff(type_def_143,type,
    list_f628289730585369423e_term: $tType ).

tff(type_def_144,type,
    fun_fu7677565902479959693_rat_o: $tType ).

tff(type_def_145,type,
    fun_Co6386927884524458043e_term: $tType ).

tff(type_def_146,type,
    fun_Co3544761417380347684eger_o: $tType ).

tff(type_def_147,type,
    fun_Co3460408610320954864e_term: $tType ).

tff(type_def_148,type,
    set_fu3629540756087427317e_term: $tType ).

tff(type_def_149,type,
    produc859450856879609959at_nat: $tType ).

tff(type_def_150,type,
    fun_fu8391177546919232046_nat_o: $tType ).

tff(type_def_151,type,
    fun_fu7503566767892366382_int_o: $tType ).

tff(type_def_152,type,
    fun_Pr2028404973800837934_nat_o: $tType ).

tff(type_def_153,type,
    fun_Pr9018117161326028078_int_o: $tType ).

tff(type_def_154,type,
    produc2934264451710624999od_o_o: $tType ).

tff(type_def_155,type,
    list_P9062070895058802706et_nat: $tType ).

tff(type_def_156,type,
    set_Pr3948176798113811640et_nat: $tType ).

tff(type_def_157,type,
    list_P2911967483291296064sn_nat: $tType ).

tff(type_def_158,type,
    list_P421884338359569308sn_int: $tType ).

tff(type_def_159,type,
    list_P7711101519850957926n_assn: $tType ).

tff(type_def_160,type,
    list_P1495281457390866698n_assn: $tType ).

tff(type_def_161,type,
    fun_Pr6460944699146269935_nat_o: $tType ).

tff(type_def_162,type,
    set_Pr4672072672689440998sn_nat: $tType ).

tff(type_def_163,type,
    set_Pr2181989527757714242sn_int: $tType ).

tff(type_def_164,type,
    set_Pr247834672394327052n_assn: $tType ).

tff(type_def_165,type,
    set_Pr3255386646789011632n_assn: $tType ).

tff(type_def_166,type,
    fun_li4463338863320273959_nat_o: $tType ).

tff(type_def_167,type,
    fun_li3597902321612929227_int_o: $tType ).

tff(type_def_168,type,
    fun_Pr2676784290456659641t_assn: $tType ).

tff(type_def_169,type,
    fun_Pr7092578583803811605t_assn: $tType ).

tff(type_def_170,type,
    fun_na2667955736958379125n_assn: $tType ).

tff(type_def_171,type,
    fun_na4143055713577223196at_nat: $tType ).

tff(type_def_172,type,
    fun_in2917358019923704601n_assn: $tType ).

tff(type_def_173,type,
    fun_in2204242111582549184nt_int: $tType ).

tff(type_def_174,type,
    fun_Co6597186368970283863nteger: $tType ).

tff(type_def_175,type,
    fun_in5730379987311621695e_term: $tType ).

tff(type_def_176,type,
    fun_fi7557781610047541018er_nat: $tType ).

tff(type_def_177,type,
    fun_fu9090758901314268781nt_o_o: $tType ).

tff(type_def_178,type,
    fun_Pr2118491707810114563at_nat: $tType ).

tff(type_def_179,type,
    fun_Pr2478283820680522243nt_int: $tType ).

tff(type_def_180,type,
    fun_li8256078503033673002st_d_o: $tType ).

tff(type_def_181,type,
    fun_li5605408072535077355st_c_o: $tType ).

tff(type_def_182,type,
    fun_li3247565534195299847_nat_o: $tType ).

tff(type_def_183,type,
    fun_li2382128992487955115_int_o: $tType ).

tff(type_def_184,type,
    fun_in1425933616158802663n_assn: $tType ).

tff(type_def_185,type,
    fun_in4433485590553487243n_assn: $tType ).

tff(type_def_186,type,
    fun_na5914473681949881652_nat_o: $tType ).

tff(type_def_187,type,
    produc3658429121746597890et_nat: $tType ).

tff(type_def_188,type,
    list_P5953897101696565392at_nat: $tType ).

tff(type_def_189,type,
    list_P3463813956764838636at_int: $tType ).

tff(type_def_190,type,
    list_P1909269847677398966at_nat: $tType ).

tff(type_def_191,type,
    list_P812186867033400410at_nat: $tType ).

tff(type_def_192,type,
    fun_li5638961813688977830_nat_o: $tType ).

tff(type_def_193,type,
    fun_li4773525271981633098_int_o: $tType ).

tff(type_def_194,type,
    fun_li1783867155918724199_nat_o: $tType ).

tff(type_def_195,type,
    fun_li918430614211379467_int_o: $tType ).

tff(type_def_196,type,
    fun_li6882067341086778250st_d_o: $tType ).

tff(type_def_197,type,
    fun_li4231396910588182603st_c_o: $tType ).

tff(type_def_198,type,
    fun_li1868563531609296843st_d_o: $tType ).

tff(type_def_199,type,
    fun_li8441265137965477004st_c_o: $tType ).

tff(type_def_200,type,
    fun_li616801382895168330st_d_o: $tType ).

tff(type_def_201,type,
    fun_li7189502989251348491st_c_o: $tType ).

tff(type_def_202,type,
    set_Pr2539167527615954998at_nat: $tType ).

tff(type_def_203,type,
    set_Pr49084382684228242at_int: $tType ).

tff(type_def_204,type,
    set_Pr7717912310451564380at_nat: $tType ).

tff(type_def_205,type,
    set_Pr6620829329807565824at_nat: $tType ).

tff(type_def_206,type,
    produc3672657496626091440sn_nat: $tType ).

tff(type_def_207,type,
    produc8718178513971670540sn_int: $tType ).

tff(type_def_208,type,
    produc1407301962063123414n_assn: $tType ).

tff(type_def_209,type,
    produc3167338625816234618n_assn: $tType ).

tff(type_def_210,type,
    list_f2430256441796990922at_nat: $tType ).

tff(type_def_211,type,
    produc7317866342734830137st_nat: $tType ).

tff(type_def_212,type,
    produc5262460917026302941st_int: $tType ).

tff(type_def_213,type,
    fun_Pr5858031453276514825t_assn: $tType ).

tff(type_def_214,type,
    fun_Pr1050453709768890981t_assn: $tType ).

tff(type_def_215,type,
    fun_na5930564906747369413t_assn: $tType ).

tff(type_def_216,type,
    fun_in6852455514944667241t_assn: $tType ).

tff(type_def_217,type,
    fun_Pr597617920386261747_nat_o: $tType ).

tff(type_def_218,type,
    fun_Pr7575844989570591639_int_o: $tType ).

tff(type_def_219,type,
    fun_na1082083995841529399assn_o: $tType ).

tff(type_def_220,type,
    fun_in7130107137290581651assn_o: $tType ).

tff(type_def_221,type,
    fun_fu7075445697382584196_int_o: $tType ).

tff(type_def_222,type,
    fun_se1909708154429037836et_nat: $tType ).

tff(type_def_223,type,
    fun_se6573205548028396576et_int: $tType ).

tff(type_def_224,type,
    fun_li2045945205358903659st_d_o: $tType ).

tff(type_def_225,type,
    fun_li8618646811715083820st_c_o: $tType ).

tff(type_def_226,type,
    fun_li794183056644775146st_d_o: $tType ).

tff(type_def_227,type,
    fun_li7366884663000955307st_c_o: $tType ).

tff(type_def_228,type,
    fun_Co1981900195452921617nteger: $tType ).

tff(type_def_229,type,
    set_Pr3451248702717554689st_nat: $tType ).

tff(type_def_230,type,
    set_Pr7861072320784411741st_int: $tType ).

tff(type_def_231,type,
    set_Pr5578615432719617117st_nat: $tType ).

tff(type_def_232,type,
    set_Pr765067013931698361st_int: $tType ).

tff(type_def_233,type,
    list_l6351802567095793725n_assn: $tType ).

tff(type_def_234,type,
    list_P5578671422887162913nteger: $tType ).

tff(type_def_235,type,
    fun_li2812663585457640420assn_o: $tType ).

tff(type_def_236,type,
    fun_Pr3816910165196019820n_assn: $tType ).

tff(type_def_237,type,
    fun_na4138050610385705875at_nat: $tType ).

tff(type_def_238,type,
    fun_in1696471567231710611nt_int: $tType ).

tff(type_def_239,type,
    set_Pr4811707699266497531nteger: $tType ).

tff(type_def_240,type,
    fun_Pr7211993375558241536eger_o: $tType ).

tff(type_def_241,type,
    fun_Co1766037875893669450eger_o: $tType ).

tff(type_def_242,type,
    set_Pr3005433631314115148st_nat: $tType ).

tff(type_def_243,type,
    set_Pr7415257249380972200st_int: $tType ).

tff(type_def_244,type,
    set_Pr6760183905301009355st_nat: $tType ).

tff(type_def_245,type,
    set_Pr1946635486513090599st_int: $tType ).

tff(type_def_246,type,
    set_Pr9082979648927643218list_d: $tType ).

tff(type_def_247,type,
    set_Pr2380792130361903057list_c: $tType ).

tff(type_def_248,type,
    produc6653097349344004940it_nat: $tType ).

tff(type_def_249,type,
    produc8373899037510109440at_nat: $tType ).

tff(type_def_250,type,
    produc4196048018000912732at_int: $tType ).

tff(type_def_251,type,
    produc7248412053542808358at_nat: $tType ).

tff(type_def_252,type,
    produc1062882101152166346at_nat: $tType ).

tff(type_def_253,type,
    fun_he4135464443191253079_nat_o: $tType ).

tff(type_def_254,type,
    fun_se4097146774670233028at_nat: $tType ).

tff(type_def_255,type,
    fun_na5138202758309126970n_assn: $tType ).

tff(type_def_256,type,
    fun_in6898239422062238174n_assn: $tType ).

tff(type_def_257,type,
    fun_Pr4738963024209204295_int_o: $tType ).

tff(type_def_258,type,
    fun_Pr7537129237977221859_rat_o: $tType ).

tff(type_def_259,type,
    fun_na3970208099681795815_nat_o: $tType ).

tff(type_def_260,type,
    set_Pr5674772971416283335list_d: $tType ).

tff(type_def_261,type,
    set_Pr8195957489705318982list_c: $tType ).

tff(type_def_262,type,
    set_Pr8760529213406277896list_d: $tType ).

tff(type_def_263,type,
    set_Pr2058341694840537735list_c: $tType ).

tff(type_def_264,type,
    produc1828647624359046049st_nat: $tType ).

tff(type_def_265,type,
    produc8561936516282095101st_int: $tType ).

tff(type_def_266,type,
    produc3676724955757786621st_nat: $tType ).

tff(type_def_267,type,
    produc1186641810826059865st_int: $tType ).

tff(type_def_268,type,
    fun_d_5839661626854366689_d_nat: $tType ).

tff(type_def_269,type,
    fun_d_2234230340994827929_d_int: $tType ).

tff(type_def_270,type,
    fun_c_1789499241325163999_c_nat: $tType ).

tff(type_def_271,type,
    fun_c_7407439992320401047_c_int: $tType ).

tff(type_def_272,type,
    fun_na5312369548907571267_nat_d: $tType ).

tff(type_def_273,type,
    fun_na3893605480571770689_nat_c: $tType ).

tff(type_def_274,type,
    list_s1210847774152347623at_nat: $tType ).

tff(type_def_275,type,
    list_P8527749157015355191n_assn: $tType ).

tff(type_def_276,type,
    fun_Pr6640091470896217020t_assn: $tType ).

tff(type_def_277,type,
    fun_li1025265955262268170_nat_o: $tType ).

tff(type_def_278,type,
    fun_li1097216447485229486_int_o: $tType ).

tff(type_def_279,type,
    fun_li1262843096912843182_nat_o: $tType ).

tff(type_def_280,type,
    fun_li1334793589135804498_int_o: $tType ).

tff(type_def_281,type,
    set_se7855581050983116737at_nat: $tType ).

tff(type_def_282,type,
    set_Pr5949110396991348497n_assn: $tType ).

tff(type_def_283,type,
    produc7822875418678951345atural: $tType ).

tff(type_def_284,type,
    produc8923325533196201883nteger: $tType ).

tff(type_def_285,type,
    fun_se4782206882984618170_nat_o: $tType ).

tff(type_def_286,type,
    fun_Pr3571187171380813162assn_o: $tType ).

tff(type_def_287,type,
    fun_as3983628580203722482n_assn: $tType ).

tff(type_def_288,type,
    produc2433097559162738582st_nat: $tType ).

tff(type_def_289,type,
    produc9166386451085787634st_int: $tType ).

tff(type_def_290,type,
    produc1766198083622830229st_nat: $tType ).

tff(type_def_291,type,
    produc8499486975545879281st_int: $tType ).

tff(type_def_292,type,
    produc1726512871120090780list_d: $tType ).

tff(type_def_293,type,
    produc1655478831073744795list_c: $tType ).

tff(type_def_294,type,
    fun_Co2081214437782444048eger_o: $tType ).

tff(type_def_295,type,
    fun_fu7564235448449272366at_o_o: $tType ).

tff(type_def_296,type,
    fun_se2621318847353125966_set_o: $tType ).

tff(type_def_297,type,
    multis2468970476368604999at_nat: $tType ).

tff(type_def_298,type,
    fun_li3172987763358990349_nat_o: $tType ).

tff(type_def_299,type,
    fun_li3244938255581951665_int_o: $tType ).

tff(type_def_300,type,
    fun_li6181769218026185550_nat_o: $tType ).

tff(type_def_301,type,
    fun_li6253719710249146866_int_o: $tType ).

tff(type_def_302,type,
    fun_li3700998088691485681st_d_o: $tType ).

tff(type_def_303,type,
    fun_li4336647089296472370st_c_o: $tType ).

tff(type_def_304,type,
    fun_li6714305004359949901st_d_o: $tType ).

tff(type_def_305,type,
    fun_li7349954004964936590st_c_o: $tType ).

tff(type_def_306,type,
    fun_fi2406938933853765693er_nat: $tType ).

tff(type_def_307,type,
    fun_ra4503298312962071866nt_int: $tType ).

tff(type_def_308,type,
    fun_Pr7647638413817135296at_int: $tType ).

tff(type_def_309,type,
    fun_Pr1652463973008025892nt_rat: $tType ).

tff(type_def_310,type,
    fun_na1476630412504255114at_nat: $tType ).

tff(type_def_311,type,
    fun_in4514472496968388910at_nat: $tType ).

tff(type_def_312,type,
    fun_in4211310926729683942nt_int: $tType ).

tff(type_def_313,type,
    produc2783776724613635559list_d: $tType ).

tff(type_def_314,type,
    produc2712742684567289574list_c: $tType ).

tff(type_def_315,type,
    produc8056257125849822888list_d: $tType ).

tff(type_def_316,type,
    produc7985223085803476903list_c: $tType ).

tff(type_def_317,type,
    filter1242075044329608583at_nat: $tType ).

tff(type_def_318,type,
    fun_d_3518232967345404797od_d_d: $tType ).

tff(type_def_319,type,
    fun_d_7375468105587134781od_d_c: $tType ).

tff(type_def_320,type,
    fun_c_8225647604158478269od_c_d: $tType ).

tff(type_def_321,type,
    fun_c_2859510705545432445od_c_c: $tType ).

tff(type_def_322,type,
    fun_na7928631014926962227_nat_o: $tType ).

tff(type_def_323,type,
    fun_li2716627548323645870st_d_o: $tType ).

tff(type_def_324,type,
    fun_li3352276548928632559st_c_o: $tType ).

tff(type_def_325,type,
    fun_li454908266862867629st_d_o: $tType ).

tff(type_def_326,type,
    fun_li1090557267467854318st_c_o: $tType ).

tff(type_def_327,type,
    list_P6011104703257516679at_nat: $tType ).

tff(type_def_328,type,
    list_P3521021558325789923at_int: $tType ).

tff(type_def_329,type,
    list_P8198026277950538467nt_nat: $tType ).

tff(type_def_330,type,
    list_P5707943133018811711nt_int: $tType ).

tff(type_def_331,type,
    fun_na1795394851323331405_d_nat: $tType ).

tff(type_def_332,type,
    fun_na5422548272989976524_c_nat: $tType ).

tff(type_def_333,type,
    fun_in5852856594745477125_d_int: $tType ).

tff(type_def_334,type,
    fun_in256637979557346436_c_int: $tType ).

tff(type_def_335,type,
    set_Pr1261947904930325089at_nat: $tType ).

tff(type_def_336,type,
    set_Pr7995236796853374141at_int: $tType ).

tff(type_def_337,type,
    set_Pr3448869479623346877nt_nat: $tType ).

tff(type_def_338,type,
    set_Pr958786334691620121nt_int: $tType ).

tff(type_def_339,type,
    produc6575502325842934193n_assn: $tType ).

tff(type_def_340,type,
    fun_Pr4796943543331071514_nat_o: $tType ).

tff(type_def_341,type,
    fun_Pr3238374608701176162_int_o: $tType ).

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

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

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

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

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

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

tff(type_def_348,type,
    fun_Co8499238673658658103nteger: $tType ).

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

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

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

tff(type_def_352,type,
    list_P1934797086108301456_d_nat: $tType ).

tff(type_def_353,type,
    list_P8668085978031350508_d_int: $tType ).

tff(type_def_354,type,
    list_P5561950507774946575_c_nat: $tType ).

tff(type_def_355,type,
    list_P3071867362843219819_c_int: $tType ).

tff(type_def_356,type,
    list_P3064893870870525238_nat_d: $tType ).

tff(type_def_357,type,
    list_P2993859830824179253_nat_c: $tType ).

tff(type_def_358,type,
    fun_d_3823435825767679546_nat_d: $tType ).

tff(type_def_359,type,
    fun_c_5868829843711808568_nat_c: $tType ).

tff(type_def_360,type,
    set_Pr3276347184212964150_d_nat: $tType ).

tff(type_def_361,type,
    set_Pr786264039281237394_d_int: $tType ).

tff(type_def_362,type,
    set_Pr6903500605879609269_c_nat: $tType ).

tff(type_def_363,type,
    set_Pr4413417460947882513_c_int: $tType ).

tff(type_def_364,type,
    set_Pr4406443968975187932_nat_d: $tType ).

tff(type_def_365,type,
    set_Pr4335409928928841947_nat_c: $tType ).

tff(type_def_366,type,
    produc6271795597528267376eger_o: $tType ).

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

tff(type_def_383,type,
    fun_Co4490034186337852034r_assn: $tType ).

tff(type_def_384,type,
    fun_as9138348466139350018nteger: $tType ).

tff(type_def_385,type,
    heap_T5738788834812785303t_unit: $tType ).

tff(type_def_386,type,
    list_P8926467638345140077od_d_d: $tType ).

tff(type_def_387,type,
    list_P8855433598298794092od_d_c: $tType ).

tff(type_def_388,type,
    list_P338744602095350958od_c_d: $tType ).

tff(type_def_389,type,
    list_P267710562049004973od_c_c: $tType ).

tff(type_def_390,type,
    fun_d_620910671289397097od_d_d: $tType ).

tff(type_def_391,type,
    fun_d_1256559671894383786od_c_d: $tType ).

tff(type_def_392,type,
    fun_c_1189316931574867241od_d_c: $tType ).

tff(type_def_393,type,
    fun_c_1824965932179853930od_c_c: $tType ).

tff(type_def_394,type,
    fun_Pr6626665806141890376t_assn: $tType ).

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

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

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

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

tff(type_def_399,type,
    heap_e7401611519738050253t_unit: $tType ).

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

tff(func_def_0,type,
    aTP_Lamm_a: set_Pr4329608150637261639at_nat > fun_Pr3059359313727237556_nat_o ).

tff(func_def_1,type,
    aTP_Lamm_aa: set_int > fun_int_o ).

tff(func_def_2,type,
    aTP_Lamm_ab: set_nat > fun_nat_o ).

tff(func_def_3,type,
    aTP_Lamm_ac: set_Pr1261947904930325089at_nat > fun_Pr4796943543331071514_nat_o ).

tff(func_def_4,type,
    aTP_Lamm_ad: set_fu3555266933746557007_nat_o > fun_fu5135969500543783852at_o_o ).

tff(func_def_5,type,
    aTP_Lamm_ae: fun_nat_fun_nat_o ).

tff(func_def_6,type,
    aTP_Lamm_af: set_nat > fun_nat_fun_nat_o ).

tff(func_def_7,type,
    aTP_Lamm_ag: set_nat > fun_nat_fun_nat_o ).

tff(func_def_8,type,
    aTP_Lamm_ah: fun_nat_o > fun_nat_fun_nat_o ).

tff(func_def_9,type,
    aTP_Lamm_ai: fun_nat_fun_nat_o ).

tff(func_def_10,type,
    aTP_Lamm_aj: fun_nat_fun_nat_nat ).

tff(func_def_11,type,
    aTP_Lamm_ak: fun_nat_fun_nat_nat ).

tff(func_def_12,type,
    aTP_Lamm_al: fun_na4138050610385705875at_nat ).

tff(func_def_13,type,
    aTP_Lamm_am: num > fun_na4138050610385705875at_nat ).

tff(func_def_14,type,
    aTP_Lamm_an: num > fun_in1696471567231710611nt_int ).

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

tff(func_def_16,type,
    aTP_Lamm_ap: fun_int_int ).

tff(func_def_17,type,
    aTP_Lamm_aq: fun_nat_nat ).

tff(func_def_18,type,
    aTP_Lamm_ar: fun_nat_fun_nat_nat ).

tff(func_def_19,type,
    aTP_Lamm_as: fun_nat_nat ).

tff(func_def_20,type,
    aTP_Lamm_at: num > fun_Co2470855966376689427nteger ).

tff(func_def_21,type,
    aTP_Lamm_au: code_integer > fun_Co8499238673658658103nteger ).

tff(func_def_22,type,
    aTP_Lamm_av: code_integer > fun_Co3544761417380347684eger_o ).

tff(func_def_23,type,
    aTP_Lamm_aw: code_integer > fun_Co2470855966376689427nteger ).

tff(func_def_24,type,
    aTP_Lamm_ax: code_integer > fun_Co2470855966376689427nteger ).

tff(func_def_25,type,
    aTP_Lamm_ay: fun_nat_set_nat ).

tff(func_def_26,type,
    aTP_Lamm_az: nat > fun_na4143055713577223196at_nat ).

tff(func_def_27,type,
    aTP_Lamm_ba: fun_na1668100129766719005at_nat ).

tff(func_def_28,type,
    aTP_Lamm_bb: fun_na4138050610385705875at_nat ).

tff(func_def_29,type,
    aTP_Lamm_bc: nat > fun_na7928631014926962227_nat_o ).

tff(func_def_30,type,
    aTP_Lamm_bd: fun_na5914473681949881652_nat_o ).

tff(func_def_31,type,
    aTP_Lamm_be: nat > fun_na4143055713577223196at_nat ).

tff(func_def_32,type,
    aTP_Lamm_bf: fun_na1668100129766719005at_nat ).

tff(func_def_33,type,
    aTP_Lamm_bg: nat > fun_na4143055713577223196at_nat ).

tff(func_def_34,type,
    aTP_Lamm_bh: fun_na1668100129766719005at_nat ).

tff(func_def_35,type,
    aTP_Lamm_bi: code_integer > fun_Co2470855966376689427nteger ).

tff(func_def_36,type,
    aTP_Lamm_bj: fun_nat_fun_nat_o ).

tff(func_def_37,type,
    aTP_Lamm_bk: fun_na1476630412504255114at_nat ).

tff(func_def_38,type,
    aTP_Lamm_bl: fun_nat_o > fun_nat_o ).

tff(func_def_39,type,
    aTP_Lamm_bm: fun_nat_o > fun_nat_fun_nat_o ).

tff(func_def_40,type,
    aTP_Lamm_bn: fun_nat_o ).

tff(func_def_41,type,
    aTP_Lamm_bo: nat > fun_nat_set_nat ).

tff(func_def_42,type,
    aTP_Lamm_bp: nat > fun_nat_set_nat ).

tff(func_def_43,type,
    aTP_Lamm_bq: fun_Pr1308109350235310159nt_int ).

tff(func_def_44,type,
    aTP_Lamm_br: fun_Pr1308109350235310159nt_int ).

tff(func_def_45,type,
    aTP_Lamm_bs: fun_Pr2478283820680522243nt_int ).

tff(func_def_46,type,
    aTP_Lamm_bt: fun_Pr2478283820680522243nt_int ).

tff(func_def_47,type,
    aTP_Lamm_bu: fun_in1696471567231710611nt_int ).

tff(func_def_48,type,
    aTP_Lamm_bv: fun_in1696471567231710611nt_int ).

tff(func_def_49,type,
    aTP_Lamm_bw: fun_in1696471567231710611nt_int ).

tff(func_def_50,type,
    aTP_Lamm_bx: int > fun_in2204242111582549184nt_int ).

tff(func_def_51,type,
    aTP_Lamm_by: rat > fun_in1696471567231710611nt_int ).

tff(func_def_52,type,
    aTP_Lamm_bz: int > fun_in2204242111582549184nt_int ).

tff(func_def_53,type,
    aTP_Lamm_ca: rat > fun_in1696471567231710611nt_int ).

tff(func_def_54,type,
    aTP_Lamm_cb: int > fun_in2204242111582549184nt_int ).

tff(func_def_55,type,
    aTP_Lamm_cc: rat > fun_in1696471567231710611nt_int ).

tff(func_def_56,type,
    aTP_Lamm_cd: int > fun_in2204242111582549184nt_int ).

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

tff(func_def_58,type,
    aTP_Lamm_cf: nat > fun_nat_fun_nat_o ).

tff(func_def_59,type,
    aTP_Lamm_cg: fun_in1696471567231710611nt_int ).

tff(func_def_60,type,
    aTP_Lamm_ch: fun_Pr6460944699146269935_nat_o ).

tff(func_def_61,type,
    aTP_Lamm_ci: assn > fun_as3747249873083764768_nat_o ).

tff(func_def_62,type,
    aTP_Lamm_cj: assn > fun_as3747249873083764768_nat_o ).

tff(func_def_63,type,
    aTP_Lamm_ck: assn > fun_Pr6460944699146269935_nat_o ).

tff(func_def_64,type,
    aTP_Lamm_cl: fun_Pr6460944699146269935_nat_o > fun_fu8419763957888848259_nat_o ).

tff(func_def_65,type,
    aTP_Lamm_cm: fun_Pr6460944699146269935_nat_o > fun_fu8419763957888848259_nat_o ).

tff(func_def_66,type,
    aTP_Lamm_cn: fun_fu8419763957888848259_nat_o ).

tff(func_def_67,type,
    aTP_Lamm_co: code_natural > fun_Co9168753396221475450atural ).

tff(func_def_68,type,
    aTP_Lamm_cp: produc7822875418678951345atural > fun_Co1890133979025130057atural ).

tff(func_def_69,type,
    aTP_Lamm_cq: code_natural > fun_Co1105491363547889651atural ).

tff(func_def_70,type,
    aTP_Lamm_cr: fun_Co1105491363547889651atural ).

tff(func_def_71,type,
    aTP_Lamm_cs: code_natural > fun_Co1105491363547889651atural ).

tff(func_def_72,type,
    aTP_Lamm_ct: heap_e7401611519738050253t_unit > fun_he4135464443191253079_nat_o ).

tff(func_def_73,type,
    aTP_Lamm_cu: assn > fun_Pr6626665806141890376t_assn ).

tff(func_def_74,type,
    aTP_Lamm_cv: nat > fun_he5234484606919320760it_nat ).

tff(func_def_75,type,
    aTP_Lamm_cw: fun_nat_fun_nat_o ).

tff(func_def_76,type,
    abs_assn: fun_fu3790787410453625514o_assn ).

tff(func_def_77,type,
    rep_assn: fun_as3747249873083764768_nat_o ).

tff(func_def_78,type,
    entails: fun_assn_fun_assn_o ).

tff(func_def_79,type,
    entailst: assn > fun_assn_o ).

tff(func_def_80,type,
    in_range: fun_Pr6460944699146269935_nat_o ).

tff(func_def_81,type,
    is_pure_assn: fun_assn_o ).

tff(func_def_82,type,
    one_assn_raw: fun_Pr6460944699146269935_nat_o ).

tff(func_def_83,type,
    proper: fun_fu5135969500543783852at_o_o ).

tff(func_def_84,type,
    pure_assn: $o > assn ).

tff(func_def_85,type,
    pure_a825153325127701367it_nat: $o > fun_Pr6460944699146269935_nat_o ).

tff(func_def_86,type,
    times_assn_raw: fun_Pr6460944699146269935_nat_o > fun_fu8419763957888848259_nat_o ).

tff(func_def_87,type,
    times_assn_raw_rel: fun_Pr3358449090565925198_nat_o ).

tff(func_def_88,type,
    wand_assn: fun_as3983628580203722482n_assn ).

tff(func_def_89,type,
    wand_raw: fun_Pr6460944699146269935_nat_o > fun_fu8419763957888848259_nat_o ).

tff(func_def_90,type,
    wand_raw_rel: fun_Pr3358449090565925198_nat_o ).

tff(func_def_91,type,
    fi: ( list_P8527749157015355191n_assn * assn * assn * assn * assn ) > fun_assn_o ).

tff(func_def_92,type,
    fI_QUERY: ( assn * assn ) > fun_assn_o ).

tff(func_def_93,type,
    fI_RESULT: ( list_P8527749157015355191n_assn * assn * assn ) > fun_assn_o ).

tff(func_def_94,type,
    sln: assn ).

tff(func_def_95,type,
    bNF_Cardinal_ctwo: set_Product_prod_o_o ).

tff(func_def_96,type,
    bNF_Cardinal_czero_o: set_Product_prod_o_o ).

tff(func_def_97,type,
    bNF_Ca3793111618940312692of_nat: set_nat > set_Pr1261947904930325089at_nat ).

tff(func_def_98,type,
    bNF_Ca8665028551170535155natLeq: set_Pr1261947904930325089at_nat ).

tff(func_def_99,type,
    bNF_Ca8459412986667044542atLess: set_Pr1261947904930325089at_nat ).

tff(func_def_100,type,
    bNF_re6250860962936578807nt_int: ( fun_int_fun_int_o * fun_Pr9018117161326028078_int_o ) > fun_fu6699046866436802030_int_o ).

tff(func_def_101,type,
    bNF_re2214769303045360666nt_rat: ( fun_int_fun_int_o * fun_Pr7537129237977221859_rat_o ) > fun_fu7677565902479959693_rat_o ).

tff(func_def_102,type,
    bNF_re4705727531993890431at_o_o: ( fun_nat_fun_nat_o * fun_o_fun_o_o ) > fun_fu7564235448449272366at_o_o ).

tff(func_def_103,type,
    bNF_re7145576690424134365nt_int: ( fun_Pr9018117161326028078_int_o * fun_Pr9018117161326028078_int_o ) > fun_fu5323616038969315652_int_o ).

tff(func_def_104,type,
    bNF_re8279943556446156061nt_rat: ( fun_Pr7537129237977221859_rat_o * fun_Pr7537129237977221859_rat_o ) > fun_fu4306744791715064858_rat_o ).

tff(func_def_105,type,
    bNF_re6644619430987730960nt_o_o: ( fun_Pr4738963024209204295_int_o * fun_o_fun_o_o ) > fun_fu9090758901314268781nt_o_o ).

tff(func_def_106,type,
    bNF_re7400052026677387805at_int: ( fun_Pr4738963024209204295_int_o * fun_Pr4738963024209204295_int_o ) > fun_fu4638078822479986034_int_o ).

tff(func_def_107,type,
    bNF_re3666534408544137501at_o_o: ( fun_Pr2028404973800837934_nat_o * fun_o_fun_o_o ) > fun_fu9045186299510176150at_o_o ).

tff(func_def_108,type,
    bNF_re2241393799969408733at_nat: ( fun_Pr2028404973800837934_nat_o * fun_Pr2028404973800837934_nat_o ) > fun_fu3373238862511017284_nat_o ).

tff(func_def_109,type,
    bNF_We2654380646378065620so_o_o: set_Pr1932065953672099015od_o_o ).

tff(func_def_110,type,
    bNF_We5258908940166488438at_nat: set_Pr4329608150637261639at_nat ).

tff(func_def_111,type,
    bNF_We8182288985678559134_o_nat: set_Pr457366540195662369at_nat ).

tff(func_def_112,type,
    bNF_We3818239936649020644el_nat: fun_se4782206882984618170_nat_o ).

tff(func_def_113,type,
    binomial: fun_nat_fun_nat_nat ).

tff(func_def_114,type,
    bit_and_int_rel: fun_Pr9018117161326028078_int_o ).

tff(func_def_115,type,
    bit_concat_bit: nat > fun_int_fun_int_int ).

tff(func_def_116,type,
    bit_se725231765392027082nd_int: fun_int_fun_int_int ).

tff(func_def_117,type,
    bit_se2002935070580805687sk_nat: fun_nat_nat ).

tff(func_def_118,type,
    bit_se2923211474154528505it_int: fun_nat_fun_int_int ).

tff(func_def_119,type,
    bit_se2925701944663578781it_nat: fun_nat_fun_nat_nat ).

tff(func_def_120,type,
    bit_se1146084159140164899it_int: fun_int_fun_nat_o ).

tff(func_def_121,type,
    code_bit_cut_integer: code_integer > produc6271795597528267376eger_o ).

tff(func_def_122,type,
    code_divmod_abs: ( code_integer * code_integer ) > produc8923325533196201883nteger ).

tff(func_def_123,type,
    code_divmod_integer: ( code_integer * code_integer ) > produc8923325533196201883nteger ).

tff(func_def_124,type,
    code_nat_of_integer: fun_Code_integer_nat ).

tff(func_def_125,type,
    code_nat_of_natural: code_natural > nat ).

tff(func_def_126,type,
    code_natural_of_nat: nat > code_natural ).

tff(func_def_127,type,
    complete_Inf_Inf_nat: set_nat > nat ).

tff(func_def_128,type,
    comple7806235888213564991et_nat: set_set_nat > set_nat ).

tff(func_def_129,type,
    complete_Sup_Sup_nat: set_nat > nat ).

tff(func_def_130,type,
    adjust_div: product_prod_int_int > int ).

tff(func_def_131,type,
    divmod_nat: ( nat * nat ) > product_prod_nat_nat ).

tff(func_def_132,type,
    unique6322359934112328802ux_nat: fun_Pr4796943543331071514_nat_o ).

tff(func_def_133,type,
    unique3479559517661332726nteger: ( num * num ) > produc8923325533196201883nteger ).

tff(func_def_134,type,
    unique5052692396658037445od_int: ( num * num ) > product_prod_int_int ).

tff(func_def_135,type,
    unique5055182867167087721od_nat: ( num * num ) > product_prod_nat_nat ).

tff(func_def_136,type,
    unique4921790084139445826nteger: ( num * produc8923325533196201883nteger ) > produc8923325533196201883nteger ).

tff(func_def_137,type,
    unique5024387138958732305ep_int: ( num * product_prod_int_int ) > product_prod_int_int ).

tff(func_def_138,type,
    unique5026877609467782581ep_nat: ( num * product_prod_nat_nat ) > product_prod_nat_nat ).

tff(func_def_139,type,
    semiri1408675320244567234ct_nat: fun_nat_nat ).

tff(func_def_140,type,
    inverse_inverse_rat: fun_rat_rat ).

tff(func_def_141,type,
    at_top_nat: filter_nat ).

tff(func_def_142,type,
    cofinite_nat: filter_nat ).

tff(func_def_143,type,
    finite3254316476582989077op_nat: set_nat > filter_set_nat ).

tff(func_def_144,type,
    prod_filter_nat_nat: ( filter_nat * filter_nat ) > filter1242075044329608583at_nat ).

tff(func_def_145,type,
    finite_card_nat: set_nat > nat ).

tff(func_def_146,type,
    finite6177210948735845034at_nat: fun_se4782206882984618170_nat_o ).

tff(func_def_147,type,
    comp_o_o_int: ( fun_o_o * fun_int_o ) > fun_int_o ).

tff(func_def_148,type,
    comp_o_o_nat: ( fun_o_o * fun_nat_o ) > fun_nat_o ).

tff(func_def_149,type,
    comp_C7848664941760151970nteger: ( fun_Co1561183069634336733nteger * fun_Co8499238673658658103nteger * code_integer ) > fun_Pr5876161306168176259nteger ).

tff(func_def_150,type,
    comp_f6739083541385432444nteger: ( fun_fu4800041728187187127nteger * fun_Co1981900195452921617nteger ) > fun_Co1561183069634336733nteger ).

tff(func_def_151,type,
    id_o: fun_o_o ).

tff(func_def_152,type,
    map_fu4826362097070443709at_o_o: ( fun_in4514472496968388910at_nat * fun_o_o ) > fun_fu7075445697382584196_int_o ).

tff(func_def_153,type,
    map_fu3667384564859982768at_int: ( fun_in4514472496968388910at_nat * fun_Pr7647638413817135296at_int ) > fun_fu3064074204415222357nt_int ).

tff(func_def_154,type,
    map_fu3191548434056052140_int_o: ( fun_in4514472496968388910at_nat * fun_fu7075445697382584196_int_o * fun_Pr2028404973800837934_nat_o ) > fun_int_fun_int_o ).

tff(func_def_155,type,
    map_fu8294830438409148311nt_int: ( fun_in4514472496968388910at_nat * fun_fu3064074204415222357nt_int * fun_Pr2477239776880934807at_nat ) > fun_int_fun_int_int ).

tff(func_def_156,type,
    map_fu5673905371560938248nt_rat: ( fun_ra4503298312962071866nt_int * fun_Pr1652463973008025892nt_rat ) > fun_fu1098312133097393581at_rat ).

tff(func_def_157,type,
    map_fu5968964422797239547at_rat: ( fun_ra4503298312962071866nt_int * fun_fu1098312133097393581at_rat * fun_Pr1308109350235310159nt_int ) > fun_rat_fun_rat_rat ).

tff(func_def_158,type,
    fun_max_strict: set_Pr4329608150637261639at_nat ).

tff(func_def_159,type,
    fun_max_weak: set_Pr4329608150637261639at_nat ).

tff(func_def_160,type,
    fun_min_strict: set_Pr4329608150637261639at_nat ).

tff(func_def_161,type,
    fun_min_weak: set_Pr4329608150637261639at_nat ).

tff(func_def_162,type,
    fun_pair_leq: set_Pr8693737435421807431at_nat ).

tff(func_def_163,type,
    fun_pair_less: set_Pr8693737435421807431at_nat ).

tff(func_def_164,type,
    gcd_Gcd_int: set_int > int ).

tff(func_def_165,type,
    gcd_Gcd_nat: set_nat > nat ).

tff(func_def_166,type,
    gcd_Lcm_int: set_int > int ).

tff(func_def_167,type,
    gcd_Lcm_nat: set_nat > nat ).

tff(func_def_168,type,
    bezw: ( nat * nat ) > product_prod_int_int ).

tff(func_def_169,type,
    bezw_rel: fun_Pr2028404973800837934_nat_o ).

tff(func_def_170,type,
    gcd_gcd_int: fun_int_fun_int_int ).

tff(func_def_171,type,
    gcd_gcd_nat: fun_nat_fun_nat_nat ).

tff(func_def_172,type,
    gcd_lcm_int: fun_int_fun_int_int ).

tff(func_def_173,type,
    gcd_lcm_nat: fun_nat_fun_nat_nat ).

tff(func_def_174,type,
    gcd_nat_rel: fun_Pr2028404973800837934_nat_o ).

tff(func_def_175,type,
    abs_abs_Code_integer: fun_Co8499238673658658103nteger ).

tff(func_def_176,type,
    abs_abs_int: fun_int_int ).

tff(func_def_177,type,
    abs_abs_rat: rat > rat ).

tff(func_def_178,type,
    minus_minus_assn: fun_as3983628580203722482n_assn ).

tff(func_def_179,type,
    minus_8373710615458151222nteger: code_integer > fun_Co8499238673658658103nteger ).

tff(func_def_180,type,
    minus_minus_int: fun_int_fun_int_int ).

tff(func_def_181,type,
    minus_4286766774447292334at_nat: ( multis2468970476368604999at_nat * multis2468970476368604999at_nat ) > multis2468970476368604999at_nat ).

tff(func_def_182,type,
    minus_minus_nat: fun_nat_fun_nat_nat ).

tff(func_def_183,type,
    minus_minus_rat: ( rat * rat ) > rat ).

tff(func_def_184,type,
    minus_minus_set_o: ( set_o * set_o ) > set_o ).

tff(func_def_185,type,
    minus_minus_set_int: ( set_int * set_int ) > set_int ).

tff(func_def_186,type,
    minus_minus_set_nat: fun_se1909708154429037836et_nat ).

tff(func_def_187,type,
    minus_2301194108115264760n_assn: ( set_Pr5949110396991348497n_assn * set_Pr5949110396991348497n_assn ) > set_Pr5949110396991348497n_assn ).

tff(func_def_188,type,
    minus_1356011639430497352at_nat: fun_se3560235952666129655at_nat ).

tff(func_def_189,type,
    minus_3314409938677909166at_nat: fun_se177437144654672861at_nat ).

tff(func_def_190,type,
    minus_6456595905716665654_nat_o: ( set_fu3555266933746557007_nat_o * set_fu3555266933746557007_nat_o ) > set_fu3555266933746557007_nat_o ).

tff(func_def_191,type,
    minus_minus_set_c: ( set_c * set_c ) > set_c ).

tff(func_def_192,type,
    minus_minus_set_d: ( set_d * set_d ) > set_d ).

tff(func_def_193,type,
    one_one_assn: assn ).

tff(func_def_194,type,
    one_one_Code_integer: code_integer ).

tff(func_def_195,type,
    one_one_Code_natural: code_natural ).

tff(func_def_196,type,
    one_one_int: int ).

tff(func_def_197,type,
    one_one_nat: nat ).

tff(func_def_198,type,
    one_one_rat: rat ).

tff(func_def_199,type,
    plus_p5714425477246183910nteger: code_integer > fun_Co8499238673658658103nteger ).

tff(func_def_200,type,
    plus_p4538020629002901425atural: ( code_natural * code_natural ) > code_natural ).

tff(func_def_201,type,
    plus_plus_int: fun_int_fun_int_int ).

tff(func_def_202,type,
    plus_p7104986032573967614at_nat: ( multis2468970476368604999at_nat * multis2468970476368604999at_nat ) > multis2468970476368604999at_nat ).

tff(func_def_203,type,
    plus_plus_nat: fun_nat_fun_nat_nat ).

tff(func_def_204,type,
    plus_plus_num: num > fun_num_num ).

tff(func_def_205,type,
    plus_plus_rat: fun_rat_fun_rat_rat ).

tff(func_def_206,type,
    sgn_sgn_Code_integer: fun_Co8499238673658658103nteger ).

tff(func_def_207,type,
    sgn_sgn_int: fun_int_int ).

tff(func_def_208,type,
    sgn_sgn_rat: rat > rat ).

tff(func_def_209,type,
    times_times_assn: fun_as3983628580203722482n_assn ).

tff(func_def_210,type,
    times_3573771949741848930nteger: fun_Co1981900195452921617nteger ).

tff(func_def_211,type,
    times_2397367101498566445atural: ( code_natural * code_natural ) > code_natural ).

tff(func_def_212,type,
    times_times_int: fun_int_fun_int_int ).

tff(func_def_213,type,
    times_times_nat: fun_nat_fun_nat_nat ).

tff(func_def_214,type,
    times_times_rat: fun_rat_fun_rat_rat ).

tff(func_def_215,type,
    uminus_uminus_assn: fun_assn_assn ).

tff(func_def_216,type,
    uminus1351360451143612070nteger: fun_Co8499238673658658103nteger ).

tff(func_def_217,type,
    uminus_uminus_int: fun_int_int ).

tff(func_def_218,type,
    uminus_uminus_rat: fun_rat_rat ).

tff(func_def_219,type,
    zero_z3403309356797280102nteger: code_integer ).

tff(func_def_220,type,
    zero_z2226904508553997617atural: code_natural ).

tff(func_def_221,type,
    zero_zero_int: int ).

tff(func_def_222,type,
    zero_z1048942125864253310at_nat: multis2468970476368604999at_nat ).

tff(func_def_223,type,
    zero_zero_nat: nat ).

tff(func_def_224,type,
    zero_zero_rat: rat ).

tff(func_def_225,type,
    groups3542108847815614940at_nat: ( fun_nat_nat * set_nat ) > nat ).

tff(func_def_226,type,
    lim_Product_unit: heap_e7401611519738050253t_unit > nat ).

tff(func_def_227,type,
    heap_T6183433275982383450t_unit: fun_he5234484606919320760it_nat > heap_T5738788834812785303t_unit ).

tff(func_def_228,type,
    heap_T875086893843062177t_unit: ( heap_T5738788834812785303t_unit * heap_e7401611519738050253t_unit ) > option8956607266484857688it_nat ).

tff(func_def_229,type,
    heap_Time_wait: nat > heap_T5738788834812785303t_unit ).

tff(func_def_230,type,
    hoare_new_addrs: ( heap_e7401611519738050253t_unit * set_nat * heap_e7401611519738050253t_unit ) > set_nat ).

tff(func_def_231,type,
    infini8530281810654367211te_nat: set_nat > fun_nat_nat ).

tff(func_def_232,type,
    abs_Integ: fun_Pr7647638413817135296at_int ).

tff(func_def_233,type,
    rep_Integ: fun_in4514472496968388910at_nat ).

tff(func_def_234,type,
    intrel: fun_Pr2028404973800837934_nat_o ).

tff(func_def_235,type,
    nat2: fun_int_nat ).

tff(func_def_236,type,
    pcr_int: fun_Pr4738963024209204295_int_o ).

tff(func_def_237,type,
    ring_1_of_int_rat: int > rat ).

tff(func_def_238,type,
    inf_inf_assn: fun_as3983628580203722482n_assn ).

tff(func_def_239,type,
    inf_inf_filter_nat: fun_fi7557781610047541018er_nat ).

tff(func_def_240,type,
    inf_inf_int: fun_int_fun_int_int ).

tff(func_def_241,type,
    inf_inf_nat: fun_nat_fun_nat_nat ).

tff(func_def_242,type,
    inf_inf_set_o: ( set_o * set_o ) > set_o ).

tff(func_def_243,type,
    inf_inf_set_int: ( set_int * set_int ) > set_int ).

tff(func_def_244,type,
    inf_inf_set_nat: fun_se1909708154429037836et_nat ).

tff(func_def_245,type,
    inf_in2572325071724192079at_nat: fun_se3560235952666129655at_nat ).

tff(func_def_246,type,
    inf_in7913087082777306421at_nat: fun_se177437144654672861at_nat ).

tff(func_def_247,type,
    inf_in3376754634429691197_nat_o: ( set_fu3555266933746557007_nat_o * set_fu3555266933746557007_nat_o ) > set_fu3555266933746557007_nat_o ).

tff(func_def_248,type,
    sup_sup_assn: fun_as3983628580203722482n_assn ).

tff(func_def_249,type,
    sup_sup_filter_nat: fun_fi7557781610047541018er_nat ).

tff(func_def_250,type,
    sup_sup_int: fun_int_fun_int_int ).

tff(func_def_251,type,
    sup_sup_nat: fun_nat_fun_nat_nat ).

tff(func_def_252,type,
    sup_sup_set_o: fun_se2621318847353125966_set_o ).

tff(func_def_253,type,
    sup_sup_set_int: fun_se6573205548028396576et_int ).

tff(func_def_254,type,
    sup_sup_set_nat: fun_se1909708154429037836et_nat ).

tff(func_def_255,type,
    sup_su5769328420594410459od_o_o: ( set_Product_prod_o_o * set_Product_prod_o_o ) > set_Product_prod_o_o ).

tff(func_def_256,type,
    sup_su1735938885662425829n_assn: ( set_Pr5949110396991348497n_assn * set_Pr5949110396991348497n_assn ) > set_Pr5949110396991348497n_assn ).

tff(func_def_257,type,
    sup_su6327502436637775413at_nat: fun_se3560235952666129655at_nat ).

tff(func_def_258,type,
    sup_su6664651903789602459at_nat: ( set_Pr5564308138774400199at_nat * set_Pr5564308138774400199at_nat ) > set_Pr5564308138774400199at_nat ).

tff(func_def_259,type,
    sup_su5525570899277871387at_nat: fun_se177437144654672861at_nat ).

tff(func_def_260,type,
    sup_su3642409539654194069at_nat: ( set_se7855581050983116737at_nat * set_se7855581050983116737at_nat ) > set_se7855581050983116737at_nat ).

tff(func_def_261,type,
    sup_su2896084399781877795_nat_o: ( set_fu3555266933746557007_nat_o * set_fu3555266933746557007_nat_o ) > set_fu3555266933746557007_nat_o ).

tff(func_def_262,type,
    lattic8265883725875713057ax_nat: set_nat > nat ).

tff(func_def_263,type,
    all_interval_int: fun_int_o > fun_int_fun_int_o ).

tff(func_def_264,type,
    all_interval_nat: fun_nat_o > fun_nat_fun_nat_o ).

tff(func_def_265,type,
    append_int: ( list_int * list_int ) > list_int ).

tff(func_def_266,type,
    append_nat: ( list_nat * list_nat ) > list_nat ).

tff(func_def_267,type,
    butlast_int: list_int > list_int ).

tff(func_def_268,type,
    butlast_nat: list_nat > list_nat ).

tff(func_def_269,type,
    butlas3012047794866324995n_assn: list_P8527749157015355191n_assn > list_P8527749157015355191n_assn ).

tff(func_def_270,type,
    butlas5569151904373679443at_nat: list_P6011104703257516679at_nat > list_P6011104703257516679at_nat ).

tff(func_def_271,type,
    butlas2561766218336428473at_nat: list_P5464809261938338413at_nat > list_P5464809261938338413at_nat ).

tff(func_def_272,type,
    butlas5723141870034285377_nat_o: list_f5222602229612168821_nat_o > list_f5222602229612168821_nat_o ).

tff(func_def_273,type,
    butlast_c: list_c > list_c ).

tff(func_def_274,type,
    butlast_d: list_d > list_d ).

tff(func_def_275,type,
    coset_o: list_o > set_o ).

tff(func_def_276,type,
    coset_int: list_int > set_int ).

tff(func_def_277,type,
    coset_nat: list_nat > set_nat ).

tff(func_def_278,type,
    coset_703488708621576356n_assn: list_P8527749157015355191n_assn > set_Pr5949110396991348497n_assn ).

tff(func_def_279,type,
    coset_6809516720700967924at_nat: list_P6011104703257516679at_nat > set_Pr1261947904930325089at_nat ).

tff(func_def_280,type,
    coset_5307619257043544794at_nat: list_P5464809261938338413at_nat > set_Pr4329608150637261639at_nat ).

tff(func_def_281,type,
    coset_8946350953306506978_nat_o: list_f5222602229612168821_nat_o > set_fu3555266933746557007_nat_o ).

tff(func_def_282,type,
    count_list_int: list_int > fun_int_nat ).

tff(func_def_283,type,
    count_list_nat: list_nat > fun_nat_nat ).

tff(func_def_284,type,
    count_2530312006313534765n_assn: ( list_P8527749157015355191n_assn * produc6575502325842934193n_assn ) > nat ).

tff(func_def_285,type,
    count_4203492906077236349at_nat: ( list_P6011104703257516679at_nat * product_prod_nat_nat ) > nat ).

tff(func_def_286,type,
    count_1483299019173949923at_nat: ( list_P5464809261938338413at_nat * produc3843707927480180839at_nat ) > nat ).

tff(func_def_287,type,
    count_1793642658284018795_nat_o: ( list_f5222602229612168821_nat_o * fun_Pr6460944699146269935_nat_o ) > nat ).

tff(func_def_288,type,
    distinct_int: fun_list_int_o ).

tff(func_def_289,type,
    distinct_nat: fun_list_nat_o ).

tff(func_def_290,type,
    distin4809818325527169450n_assn: fun_li2812663585457640420assn_o ).

tff(func_def_291,type,
    distinct_c: fun_list_c_o ).

tff(func_def_292,type,
    distinct_d: fun_list_d_o ).

tff(func_def_293,type,
    drop_nat: ( nat * list_nat ) > list_nat ).

tff(func_def_294,type,
    enumerate_int: ( nat * list_int ) > list_P3521021558325789923at_int ).

tff(func_def_295,type,
    enumerate_nat: ( nat * list_nat ) > list_P6011104703257516679at_nat ).

tff(func_def_296,type,
    enumer9200277086812776726n_assn: ( nat * list_P8527749157015355191n_assn ) > list_P7711101519850957926n_assn ).

tff(func_def_297,type,
    enumerate_c: ( nat * list_c ) > list_P2993859830824179253_nat_c ).

tff(func_def_298,type,
    enumerate_d: ( nat * list_d ) > list_P3064893870870525238_nat_d ).

tff(func_def_299,type,
    filter_nat2: ( fun_nat_o * list_nat ) > list_nat ).

tff(func_def_300,type,
    fold_int_int: ( fun_int_fun_int_int * list_int ) > fun_int_int ).

tff(func_def_301,type,
    fold_nat_nat: ( fun_nat_fun_nat_nat * list_nat ) > fun_nat_nat ).

tff(func_def_302,type,
    foldl_assn_assn: ( fun_as3983628580203722482n_assn * assn * list_assn ) > assn ).

tff(func_def_303,type,
    foldl_1542389171486570077nteger: ( fun_Co1981900195452921617nteger * code_integer * list_Code_integer ) > code_integer ).

tff(func_def_304,type,
    foldl_int_int: ( fun_int_fun_int_int * int * list_int ) > int ).

tff(func_def_305,type,
    foldl_nat_nat: ( fun_nat_fun_nat_nat * nat * list_nat ) > nat ).

tff(func_def_306,type,
    foldl_rat_rat: ( fun_rat_fun_rat_rat * rat * list_rat ) > rat ).

tff(func_def_307,type,
    foldl_set_o_set_o: ( fun_se2621318847353125966_set_o * set_o * list_set_o ) > set_o ).

tff(func_def_308,type,
    foldl_6819690284573351271et_int: ( fun_se6573205548028396576et_int * set_int * list_set_int ) > set_int ).

tff(func_def_309,type,
    foldl_4988731653086973103et_nat: ( fun_se1909708154429037836et_nat * set_nat * list_set_nat ) > set_nat ).

tff(func_def_310,type,
    foldl_5307762784932486881at_nat: ( fun_se3560235952666129655at_nat * set_Pr1261947904930325089at_nat * list_s1210847774152347623at_nat ) > set_Pr1261947904930325089at_nat ).

tff(func_def_311,type,
    foldl_4541198706405875041at_nat: ( fun_se177437144654672861at_nat * set_Pr4329608150637261639at_nat * list_s4242580248156217677at_nat ) > set_Pr4329608150637261639at_nat ).

tff(func_def_312,type,
    foldr_assn_assn: ( fun_as3983628580203722482n_assn * list_assn ) > fun_assn_assn ).

tff(func_def_313,type,
    insert_o: ( $o * list_o ) > list_o ).

tff(func_def_314,type,
    insert_int: ( int * list_int ) > list_int ).

tff(func_def_315,type,
    insert_nat: ( nat * list_nat ) > list_nat ).

tff(func_def_316,type,
    insert3246601298802261197n_assn: ( produc6575502325842934193n_assn * list_P8527749157015355191n_assn ) > list_P8527749157015355191n_assn ).

tff(func_def_317,type,
    insert8944034826898310173at_nat: ( product_prod_nat_nat * list_P6011104703257516679at_nat ) > list_P6011104703257516679at_nat ).

tff(func_def_318,type,
    insert4149901806602606979at_nat: ( produc3843707927480180839at_nat * list_P5464809261938338413at_nat ) > list_P5464809261938338413at_nat ).

tff(func_def_319,type,
    insert1623326748346684427_nat_o: ( fun_Pr6460944699146269935_nat_o * list_f5222602229612168821_nat_o ) > list_f5222602229612168821_nat_o ).

tff(func_def_320,type,
    last_nat: list_nat > nat ).

tff(func_def_321,type,
    lenlex_int: set_Pr958786334691620121nt_int > set_Pr765067013931698361st_int ).

tff(func_def_322,type,
    lenlex_nat: set_Pr1261947904930325089at_nat > set_Pr3451248702717554689st_nat ).

tff(func_def_323,type,
    lenlex6671093235567761724n_assn: set_Pr8116311503512020807n_assn > set_Pr6863447823992824007n_assn ).

tff(func_def_324,type,
    lenlex1357538814655152620at_nat: set_Pr4329608150637261639at_nat > set_Pr4333006031979791559at_nat ).

tff(func_def_325,type,
    lenlex_c: set_Product_prod_c_c > set_Pr2058341694840537735list_c ).

tff(func_def_326,type,
    lenlex_d: set_Product_prod_d_d > set_Pr5674772971416283335list_d ).

tff(func_def_327,type,
    lex_int: set_Pr958786334691620121nt_int > set_Pr765067013931698361st_int ).

tff(func_def_328,type,
    lex_nat: set_Pr1261947904930325089at_nat > set_Pr3451248702717554689st_nat ).

tff(func_def_329,type,
    lex_Pr7559194461235888923n_assn: set_Pr8116311503512020807n_assn > set_Pr6863447823992824007n_assn ).

tff(func_def_330,type,
    lex_se2245640040323279819at_nat: set_Pr4329608150637261639at_nat > set_Pr4333006031979791559at_nat ).

tff(func_def_331,type,
    lex_c: set_Product_prod_c_c > set_Pr2058341694840537735list_c ).

tff(func_def_332,type,
    lex_d: set_Product_prod_d_d > set_Pr5674772971416283335list_d ).

tff(func_def_333,type,
    lexn_int: ( set_Pr958786334691620121nt_int * nat ) > set_Pr765067013931698361st_int ).

tff(func_def_334,type,
    lexn_nat: ( set_Pr1261947904930325089at_nat * nat ) > set_Pr3451248702717554689st_nat ).

tff(func_def_335,type,
    lexn_c: ( set_Product_prod_c_c * nat ) > set_Pr2058341694840537735list_c ).

tff(func_def_336,type,
    lexn_d: ( set_Product_prod_d_d * nat ) > set_Pr5674772971416283335list_d ).

tff(func_def_337,type,
    linord1735203802627413978nt_int: ( fun_int_int * list_int ) > list_int ).

tff(func_def_338,type,
    linord738340561235409698at_nat: ( fun_nat_nat * list_nat ) > list_nat ).

tff(func_def_339,type,
    linord2614967742042102400et_nat: set_nat > list_nat ).

tff(func_def_340,type,
    cons_o: ( $o * list_o ) > list_o ).

tff(func_def_341,type,
    cons_assn: ( assn * list_assn ) > list_assn ).

tff(func_def_342,type,
    cons_Code_integer: ( code_integer * list_Code_integer ) > list_Code_integer ).

tff(func_def_343,type,
    cons_int: ( int * list_int ) > list_int ).

tff(func_def_344,type,
    cons_list_int: ( list_int * list_list_int ) > list_list_int ).

tff(func_def_345,type,
    cons_list_nat: ( list_nat * list_list_nat ) > list_list_nat ).

tff(func_def_346,type,
    cons_l2423627976422276333n_assn: ( list_P8527749157015355191n_assn * list_l6351802567095793725n_assn ) > list_l6351802567095793725n_assn ).

tff(func_def_347,type,
    cons_nat: ( nat * list_nat ) > list_nat ).

tff(func_def_348,type,
    cons_num: ( num * list_num ) > list_num ).

tff(func_def_349,type,
    cons_P2971678138204555879n_assn: ( produc6575502325842934193n_assn * list_P8527749157015355191n_assn ) > list_P8527749157015355191n_assn ).

tff(func_def_350,type,
    cons_P3334398858971670639nt_int: ( product_prod_int_int * list_P5707943133018811711nt_int ) > list_P5707943133018811711nt_int ).

tff(func_def_351,type,
    cons_P7512249878480867347nt_nat: ( product_prod_int_nat * list_P8198026277950538467nt_nat ) > list_P8198026277950538467nt_nat ).

tff(func_def_352,type,
    cons_P8828502514829229636n_assn: ( produc3167338625816234618n_assn * list_P1495281457390866698n_assn ) > list_P1495281457390866698n_assn ).

tff(func_def_353,type,
    cons_P2335045147070616083at_int: ( product_prod_nat_int * list_P3521021558325789923at_int ) > list_P3521021558325789923at_int ).

tff(func_def_354,type,
    cons_P6512896166579812791at_nat: ( product_prod_nat_nat * list_P6011104703257516679at_nat ) > list_P6011104703257516679at_nat ).

tff(func_def_355,type,
    cons_P7068465851076118432n_assn: ( produc1407301962063123414n_assn * list_P7711101519850957926n_assn ) > list_P7711101519850957926n_assn ).

tff(func_def_356,type,
    cons_P5155970366129889750sn_int: ( produc8718178513971670540sn_int * list_P421884338359569308sn_int ) > list_P421884338359569308sn_int ).

tff(func_def_357,type,
    cons_P110449348784310650sn_nat: ( produc3672657496626091440sn_nat * list_P2911967483291296064sn_nat ) > list_P2911967483291296064sn_nat ).

tff(func_def_358,type,
    cons_P9150528168557782045n_assn: ( produc9053633027152450663n_assn * list_P28140577958321773n_assn ) > list_P28140577958321773n_assn ).

tff(func_def_359,type,
    cons_P3940603068885512221at_nat: ( produc3843707927480180839at_nat * list_P5464809261938338413at_nat ) > list_P5464809261938338413at_nat ).

tff(func_def_360,type,
    cons_s6881495754146722583at_nat: ( set_Pr1261947904930325089at_nat * list_s1210847774152347623at_nat ) > list_s1210847774152347623at_nat ).

tff(func_def_361,type,
    cons_fun_nat_nat: ( fun_nat_nat * list_fun_nat_nat ) > list_fun_nat_nat ).

tff(func_def_362,type,
    cons_f8040665141538986917_nat_o: ( fun_Pr6460944699146269935_nat_o * list_f5222602229612168821_nat_o ) > list_f5222602229612168821_nat_o ).

tff(func_def_363,type,
    cons_f718425424816052858at_nat: ( fun_se4097146774670233028at_nat * list_f2430256441796990922at_nat ) > list_f2430256441796990922at_nat ).

tff(func_def_364,type,
    cons_c: ( c * list_c ) > list_c ).

tff(func_def_365,type,
    cons_d: ( d * list_d ) > list_d ).

tff(func_def_366,type,
    nil_o: list_o ).

tff(func_def_367,type,
    nil_assn: list_assn ).

tff(func_def_368,type,
    nil_int: list_int ).

tff(func_def_369,type,
    nil_list_int: list_list_int ).

tff(func_def_370,type,
    nil_list_nat: list_list_nat ).

tff(func_def_371,type,
    nil_li5476096274760905021n_assn: list_l6351802567095793725n_assn ).

tff(func_def_372,type,
    nil_nat: list_nat ).

tff(func_def_373,type,
    nil_Pr5671120429643327159n_assn: list_P8527749157015355191n_assn ).

tff(func_def_374,type,
    nil_Pr2300489316682597567nt_int: list_P5707943133018811711nt_int ).

tff(func_def_375,type,
    nil_Pr6478340336191794275nt_nat: list_P8198026277950538467nt_nat ).

tff(func_def_376,type,
    nil_Pr2440414457004260852n_assn: list_P1495281457390866698n_assn ).

tff(func_def_377,type,
    nil_Pr1301135604781543011at_int: list_P3521021558325789923at_int ).

tff(func_def_378,type,
    nil_Pr5478986624290739719at_nat: list_P6011104703257516679at_nat ).

tff(func_def_379,type,
    nil_Pr680377793251149648n_assn: list_P7711101519850957926n_assn ).

tff(func_def_380,type,
    nil_Pr7991254345159696774sn_int: list_P421884338359569308sn_int ).

tff(func_def_381,type,
    nil_Pr2945733327814117674sn_nat: list_P2911967483291296064sn_nat ).

tff(func_def_382,type,
    nil_Pr4327835960982145133n_assn: list_P28140577958321773n_assn ).

tff(func_def_383,type,
    nil_Pr8341282898164651117at_nat: list_P5464809261938338413at_nat ).

tff(func_def_384,type,
    nil_fun_nat_nat: list_fun_nat_nat ).

tff(func_def_385,type,
    nil_fu8701418733234493130at_nat: list_f2430256441796990922at_nat ).

tff(func_def_386,type,
    nil_c: list_c ).

tff(func_def_387,type,
    nil_d: list_d ).

tff(func_def_388,type,
    hd_nat: list_nat > nat ).

tff(func_def_389,type,
    list_all_int: fun_int_o > fun_list_int_o ).

tff(func_def_390,type,
    list_all_nat: fun_nat_o > fun_list_nat_o ).

tff(func_def_391,type,
    map_nat_nat: ( fun_nat_nat * list_nat ) > list_nat ).

tff(func_def_392,type,
    map_Pr8991440229025900053n_assn: ( fun_Pr3816910165196019820n_assn * list_P8527749157015355191n_assn ) > list_assn ).

tff(func_def_393,type,
    set_o2: list_o > set_o ).

tff(func_def_394,type,
    set_assn2: list_assn > set_assn ).

tff(func_def_395,type,
    set_Code_integer2: list_Code_integer > set_Code_integer ).

tff(func_def_396,type,
    set_int2: list_int > set_int ).

tff(func_def_397,type,
    set_nat2: list_nat > set_nat ).

tff(func_def_398,type,
    set_num2: list_num > set_num ).

tff(func_def_399,type,
    set_Pr1139785259514867910n_assn: list_P8527749157015355191n_assn > set_Pr5949110396991348497n_assn ).

tff(func_def_400,type,
    set_Pr920681315882439344nteger: list_P5578671422887162913nteger > set_Pr4811707699266497531nteger ).

tff(func_def_401,type,
    set_Pr3864771053587467565et_nat: list_P9062070895058802706et_nat > set_Pr3948176798113811640et_nat ).

tff(func_def_402,type,
    set_Pr2470121279949933262nt_int: list_P5707943133018811711nt_int > set_Pr958786334691620121nt_int ).

tff(func_def_403,type,
    set_Pr6647972299459129970nt_nat: list_P8198026277950538467nt_nat > set_Pr3448869479623346877nt_nat ).

tff(func_def_404,type,
    set_Pr4510407026980144421n_assn: list_P1495281457390866698n_assn > set_Pr3255386646789011632n_assn ).

tff(func_def_405,type,
    set_Pr525428910217828469at_nat: list_P812186867033400410at_nat > set_Pr6620829329807565824at_nat ).

tff(func_def_406,type,
    set_Pr1470767568048878706at_int: list_P3521021558325789923at_int > set_Pr7995236796853374141at_int ).

tff(func_def_407,type,
    set_Pr5648618587558075414at_nat: list_P6011104703257516679at_nat > set_Pr1261947904930325089at_nat ).

tff(func_def_408,type,
    set_Pr6710958862608470481at_nat: list_P1909269847677398966at_nat > set_Pr7717912310451564380at_nat ).

tff(func_def_409,type,
    set_Pr4163146846833169104_nat_c: list_P2993859830824179253_nat_c > set_Pr4335409928928841947_nat_c ).

tff(func_def_410,type,
    set_Pr8975451644279219196n_assn: list_P28140577958321773n_assn > set_Pr8116311503512020807n_assn ).

tff(func_def_411,type,
    set_Pr3658594827066574855at_int: list_P3463813956764838636at_int > set_Pr49084382684228242at_int ).

tff(func_def_412,type,
    set_Pr7836445846575771563at_nat: list_P5953897101696565392at_nat > set_Pr2539167527615954998at_nat ).

tff(func_def_413,type,
    set_Pr5518436109238095868at_nat: list_P8469869581646625389at_nat > set_Pr8693737435421807431at_nat ).

tff(func_def_414,type,
    set_Pr4552580085251402108at_nat: list_P6548900253507351021at_nat > set_Pr5564308138774400199at_nat ).

tff(func_def_415,type,
    set_Pr3765526544606949372at_nat: list_P5464809261938338413at_nat > set_Pr4329608150637261639at_nat ).

tff(func_def_416,type,
    set_Pr4881580080894854746nt_int: list_P932735248015874751nt_int > set_Pr4166680992137330533nt_int ).

tff(func_def_417,type,
    set_Pr5524914931742404033nteger: list_P2959130015091922598nteger > set_Pr3486312109254157132nteger ).

tff(func_def_418,type,
    set_Pr8131104793812927691et_nat: list_P8836981409019564976et_nat > set_Pr1312406793078187350et_nat ).

tff(func_def_419,type,
    set_Pr6610751079997246441et_nat: list_P4783563340545138382et_nat > set_Pr4040394263813967220et_nat ).

tff(func_def_420,type,
    set_Pr9154065280616349564_nat_o: list_P7236803063094035949_nat_o > set_Pr2890355626087285447_nat_o ).

tff(func_def_421,type,
    set_Pr8602918816529533742nt_int: list_P2843741347166045587nt_int > set_Pr6700895561065273913nt_int ).

tff(func_def_422,type,
    set_Pr8441393049761402630_c_int: list_P3071867362843219819_c_int > set_Pr4413417460947882513_c_int ).

tff(func_def_423,type,
    set_Pr3395872032415823530_c_nat: list_P5561950507774946575_c_nat > set_Pr6903500605879609269_c_nat ).

tff(func_def_424,type,
    set_Product_prod_c_c2: list_P267710562049004973od_c_c > set_Product_prod_c_c ).

tff(func_def_425,type,
    set_Product_prod_c_d2: list_P338744602095350958od_c_d > set_Product_prod_c_d ).

tff(func_def_426,type,
    set_Pr453465341863021319_d_int: list_P8668085978031350508_d_int > set_Pr786264039281237394_d_int ).

tff(func_def_427,type,
    set_Pr4631316361372218027_d_nat: list_P1934797086108301456_d_nat > set_Pr3276347184212964150_d_nat ).

tff(func_def_428,type,
    set_Product_prod_d_c2: list_P8855433598298794092od_d_c > set_Product_prod_d_c ).

tff(func_def_429,type,
    set_Product_prod_d_d2: list_P8926467638345140077od_d_d > set_Product_prod_d_d ).

tff(func_def_430,type,
    set_se5049602875457034614at_nat: list_s1210847774152347623at_nat > set_se7855581050983116737at_nat ).

tff(func_def_431,type,
    set_fu1748814359475392490e_term: list_f628289730585369423e_term > set_fu3629540756087427317e_term ).

tff(func_def_432,type,
    set_fu3771136004723407269e_term: list_f4306079564415238026e_term > set_fu8280898353253485872e_term ).

tff(func_def_433,type,
    set_fu8796970219976790276_nat_o: list_f5222602229612168821_nat_o > set_fu3555266933746557007_nat_o ).

tff(func_def_434,type,
    set_fu3262800575041149974e_term: list_f280343417242313083e_term > set_fu5653557704672872225e_term ).

tff(func_def_435,type,
    set_c2: list_c > set_c ).

tff(func_def_436,type,
    set_d2: list_d > set_d ).

tff(func_def_437,type,
    tl_nat: list_nat > list_nat ).

tff(func_def_438,type,
    list_ex_int: fun_int_o > fun_list_int_o ).

tff(func_def_439,type,
    list_ex_nat: fun_nat_o > fun_list_nat_o ).

tff(func_def_440,type,
    list_e1087220904399170805n_assn: fun_Pr3571187171380813162assn_o > fun_li2812663585457640420assn_o ).

tff(func_def_441,type,
    list_ex_c: fun_c_o > fun_list_c_o ).

tff(func_def_442,type,
    list_ex_d: fun_d_o > fun_list_d_o ).

tff(func_def_443,type,
    list_update_o: ( list_o * nat * $o ) > list_o ).

tff(func_def_444,type,
    list_update_int: ( list_int * nat * int ) > list_int ).

tff(func_def_445,type,
    list_update_nat: ( list_nat * nat * nat ) > list_nat ).

tff(func_def_446,type,
    list_u4534839942911652127n_assn: ( list_P8527749157015355191n_assn * nat * produc6575502325842934193n_assn ) > list_P8527749157015355191n_assn ).

tff(func_def_447,type,
    list_u2254550707601501961nteger: ( list_P5578671422887162913nteger * nat * produc8923325533196201883nteger ) > list_P5578671422887162913nteger ).

tff(func_def_448,type,
    list_u9060326803697358356et_nat: ( list_P9062070895058802706et_nat * nat * produc3658429121746597890et_nat ) > list_P9062070895058802706et_nat ).

tff(func_def_449,type,
    list_u3002344382305578791nt_int: ( list_P5707943133018811711nt_int * nat * product_prod_int_int ) > list_P5707943133018811711nt_int ).

tff(func_def_450,type,
    list_u6180841689913720943at_nat: ( list_P6011104703257516679at_nat * nat * product_prod_nat_nat ) > list_P6011104703257516679at_nat ).

tff(func_def_451,type,
    list_u4696772448584712917at_nat: ( list_P5464809261938338413at_nat * nat * produc3843707927480180839at_nat ) > list_P5464809261938338413at_nat ).

tff(func_def_452,type,
    list_u4453756226229724993nt_int: ( list_P932735248015874751nt_int * nat * produc4788131091073775919nt_int ) > list_P932735248015874751nt_int ).

tff(func_def_453,type,
    list_u5815421275070861992nteger: ( list_P2959130015091922598nteger * nat * produc2453742332425399446nteger ) > list_P2959130015091922598nteger ).

tff(func_def_454,type,
    list_u4153759941229589042et_nat: ( list_P8836981409019564976et_nat * nat * produc8799533983703829792et_nat ) > list_P8836981409019564976et_nat ).

tff(func_def_455,type,
    list_u3231058372064271824et_nat: ( list_P4783563340545138382et_nat * nat * produc3112576180687729086et_nat ) > list_P4783563340545138382et_nat ).

tff(func_def_456,type,
    list_u7912136156437333013nt_int: ( list_P2843741347166045587nt_int * nat * produc3043004577601930755nt_int ) > list_P2843741347166045587nt_int ).

tff(func_def_457,type,
    list_u8616212504517173525od_c_c: ( list_P267710562049004973od_c_c * nat * product_prod_c_c ) > list_P267710562049004973od_c_c ).

tff(func_def_458,type,
    list_u8616212508820402326od_c_d: ( list_P338744602095350958od_c_d * nat * product_prod_c_d ) > list_P338744602095350958od_c_d ).

tff(func_def_459,type,
    list_u5828756922544497492od_d_c: ( list_P8855433598298794092od_d_c * nat * product_prod_d_c ) > list_P8855433598298794092od_d_c ).

tff(func_def_460,type,
    list_u5828756926847726293od_d_d: ( list_P8926467638345140077od_d_d * nat * product_prod_d_d ) > list_P8926467638345140077od_d_d ).

tff(func_def_461,type,
    list_u8444657558853818831at_nat: ( list_s1210847774152347623at_nat * nat * set_Pr1261947904930325089at_nat ) > list_s1210847774152347623at_nat ).

tff(func_def_462,type,
    list_u528859344425011025e_term: ( list_f628289730585369423e_term * nat * fun_in5730379987311621695e_term ) > list_f628289730585369423e_term ).

tff(func_def_463,type,
    list_u3429793794183195916e_term: ( list_f4306079564415238026e_term * nat * fun_Pr5098669352780829690e_term ) > list_f4306079564415238026e_term ).

tff(func_def_464,type,
    list_u2989257416974056029_nat_o: ( list_f5222602229612168821_nat_o * nat * fun_Pr6460944699146269935_nat_o ) > list_f5222602229612168821_nat_o ).

tff(func_def_465,type,
    list_u7283322402012212093e_term: ( list_f280343417242313083e_term * nat * fun_Pr7763680713840462443e_term ) > list_f280343417242313083e_term ).

tff(func_def_466,type,
    list_update_c: ( list_c * nat * c ) > list_c ).

tff(func_def_467,type,
    list_update_d: ( list_d * nat * d ) > list_d ).

tff(func_def_468,type,
    listrel1_int: set_Pr958786334691620121nt_int > set_Pr765067013931698361st_int ).

tff(func_def_469,type,
    listrel1_nat: set_Pr1261947904930325089at_nat > set_Pr3451248702717554689st_nat ).

tff(func_def_470,type,
    listre4270255209692100112n_assn: set_Pr8116311503512020807n_assn > set_Pr6863447823992824007n_assn ).

tff(func_def_471,type,
    listre8180072825634266816at_nat: set_Pr4329608150637261639at_nat > set_Pr4333006031979791559at_nat ).

tff(func_def_472,type,
    listrel1_c: set_Product_prod_c_c > set_Pr2058341694840537735list_c ).

tff(func_def_473,type,
    listrel1_d: set_Product_prod_d_d > set_Pr5674772971416283335list_d ).

tff(func_def_474,type,
    listrel_int_int: set_Pr958786334691620121nt_int > set_Pr765067013931698361st_int ).

tff(func_def_475,type,
    listrel_int_nat: set_Pr3448869479623346877nt_nat > set_Pr5578615432719617117st_nat ).

tff(func_def_476,type,
    listre4888949683985722578n_assn: set_Pr3255386646789011632n_assn > set_Pr4168565316758867366n_assn ).

tff(func_def_477,type,
    listrel_nat_int: set_Pr7995236796853374141at_int > set_Pr7861072320784411741st_int ).

tff(func_def_478,type,
    listrel_nat_nat: set_Pr1261947904930325089at_nat > set_Pr3451248702717554689st_nat ).

tff(func_def_479,type,
    listre3128913020232611374n_assn: set_Pr247834672394327052n_assn > set_Pr7093487733527993602n_assn ).

tff(func_def_480,type,
    listrel_nat_c: set_Pr4335409928928841947_nat_c > set_Pr2380792130361903057list_c ).

tff(func_def_481,type,
    listrel_nat_d: set_Pr4406443968975187932_nat_d > set_Pr9082979648927643218list_d ).

tff(func_def_482,type,
    listre8029020076619294380sn_int: set_Pr2181989527757714242sn_int > set_Pr4898238009683259096st_int ).

tff(func_def_483,type,
    listre8031510547128344656sn_nat: set_Pr4672072672689440998sn_nat > set_Pr488414391616402044st_nat ).

tff(func_def_484,type,
    listre5253995379918703921n_assn: set_Pr8116311503512020807n_assn > set_Pr6863447823992824007n_assn ).

tff(func_def_485,type,
    listre2047417242196832561at_nat: set_Pr4329608150637261639at_nat > set_Pr4333006031979791559at_nat ).

tff(func_def_486,type,
    listrel_c_int: set_Pr4413417460947882513_c_int > set_Pr1946635486513090599st_int ).

tff(func_def_487,type,
    listrel_c_nat: set_Pr6903500605879609269_c_nat > set_Pr6760183905301009355st_nat ).

tff(func_def_488,type,
    listrel_c_c: set_Product_prod_c_c > set_Pr2058341694840537735list_c ).

tff(func_def_489,type,
    listrel_c_d: set_Product_prod_c_d > set_Pr8760529213406277896list_d ).

tff(func_def_490,type,
    listrel_d_int: set_Pr786264039281237394_d_int > set_Pr7415257249380972200st_int ).

tff(func_def_491,type,
    listrel_d_nat: set_Pr3276347184212964150_d_nat > set_Pr3005433631314115148st_nat ).

tff(func_def_492,type,
    listrel_d_c: set_Product_prod_d_c > set_Pr8195957489705318982list_c ).

tff(func_def_493,type,
    listrel_d_d: set_Product_prod_d_d > set_Pr5674772971416283335list_d ).

tff(func_def_494,type,
    measures_nat: list_fun_nat_nat > set_Pr1261947904930325089at_nat ).

tff(func_def_495,type,
    measur2694323259624372065at_nat: list_f2430256441796990922at_nat > set_Pr4329608150637261639at_nat ).

tff(func_def_496,type,
    nth_o: list_o > fun_nat_o ).

tff(func_def_497,type,
    nth_Code_integer: list_Code_integer > fun_nat_Code_integer ).

tff(func_def_498,type,
    nth_int: list_int > fun_nat_int ).

tff(func_def_499,type,
    nth_nat: list_nat > fun_nat_nat ).

tff(func_def_500,type,
    nth_num: list_num > fun_nat_num ).

tff(func_def_501,type,
    nth_Pr1769885009046257848n_assn: ( list_P8527749157015355191n_assn * nat ) > produc6575502325842934193n_assn ).

tff(func_def_502,type,
    nth_Pr3440142176431000676at_int: ( list_P3521021558325789923at_int * nat ) > product_prod_nat_int ).

tff(func_def_503,type,
    nth_Pr7617993195940197384at_nat: ( list_P6011104703257516679at_nat * nat ) > product_prod_nat_nat ).

tff(func_def_504,type,
    nth_Pr2476257089995772766_nat_c: ( list_P2993859830824179253_nat_c * nat ) > product_prod_nat_c ).

tff(func_def_505,type,
    nth_Pr2476257094299001567_nat_d: ( list_P3064893870870525238_nat_d * nat ) > product_prod_nat_d ).

tff(func_def_506,type,
    nth_Pr1239524528086697198at_nat: ( list_P5464809261938338413at_nat * nat ) > produc3843707927480180839at_nat ).

tff(func_def_507,type,
    nth_Pr6754503292924006292_c_int: ( list_P3071867362843219819_c_int * nat ) > product_prod_c_int ).

tff(func_def_508,type,
    nth_Pr1708982275578427192_c_nat: ( list_P5561950507774946575_c_nat * nat ) > product_prod_c_nat ).

tff(func_def_509,type,
    nth_Product_prod_c_c: ( list_P267710562049004973od_c_c * nat ) > product_prod_c_c ).

tff(func_def_510,type,
    nth_Product_prod_c_d: ( list_P338744602095350958od_c_d * nat ) > product_prod_c_d ).

tff(func_def_511,type,
    nth_Pr7989947621880400789_d_int: ( list_P8668085978031350508_d_int * nat ) > product_prod_d_int ).

tff(func_def_512,type,
    nth_Pr2944426604534821689_d_nat: ( list_P1934797086108301456_d_nat * nat ) > product_prod_d_nat ).

tff(func_def_513,type,
    nth_Product_prod_d_c: ( list_P8855433598298794092od_d_c * nat ) > product_prod_d_c ).

tff(func_def_514,type,
    nth_Product_prod_d_d: ( list_P8926467638345140077od_d_d * nat ) > product_prod_d_d ).

tff(func_def_515,type,
    nth_se5679702624988424552at_nat: ( list_s1210847774152347623at_nat * nat ) > set_Pr1261947904930325089at_nat ).

tff(func_def_516,type,
    nth_fu1272478342191624950_nat_o: ( list_f5222602229612168821_nat_o * nat ) > fun_Pr6460944699146269935_nat_o ).

tff(func_def_517,type,
    nth_c: ( list_c * nat ) > c ).

tff(func_def_518,type,
    nth_d: ( list_d * nat ) > d ).

tff(func_def_519,type,
    null_int: fun_list_int_o ).

tff(func_def_520,type,
    null_nat: fun_list_nat_o ).

tff(func_def_521,type,
    null_P7596217980778516671n_assn: fun_li2812663585457640420assn_o ).

tff(func_def_522,type,
    product_assn_assn: ( list_assn * list_assn ) > list_P8527749157015355191n_assn ).

tff(func_def_523,type,
    product_int_int: ( list_int * list_int ) > list_P5707943133018811711nt_int ).

tff(func_def_524,type,
    product_int_nat: ( list_int * list_nat ) > list_P8198026277950538467nt_nat ).

tff(func_def_525,type,
    product_nat_int: ( list_nat * list_int ) > list_P3521021558325789923at_int ).

tff(func_def_526,type,
    product_nat_nat: ( list_nat * list_nat ) > list_P6011104703257516679at_nat ).

tff(func_def_527,type,
    product_nat_c: ( list_nat * list_c ) > list_P2993859830824179253_nat_c ).

tff(func_def_528,type,
    product_nat_d: ( list_nat * list_d ) > list_P3064893870870525238_nat_d ).

tff(func_def_529,type,
    product_c_int: ( list_c * list_int ) > list_P3071867362843219819_c_int ).

tff(func_def_530,type,
    product_c_nat: ( list_c * list_nat ) > list_P5561950507774946575_c_nat ).

tff(func_def_531,type,
    product_c_c: ( list_c * list_c ) > list_P267710562049004973od_c_c ).

tff(func_def_532,type,
    product_c_d: ( list_c * list_d ) > list_P338744602095350958od_c_d ).

tff(func_def_533,type,
    product_d_int: ( list_d * list_int ) > list_P8668085978031350508_d_int ).

tff(func_def_534,type,
    product_d_nat: ( list_d * list_nat ) > list_P1934797086108301456_d_nat ).

tff(func_def_535,type,
    product_d_c: ( list_d * list_c ) > list_P8855433598298794092od_d_c ).

tff(func_def_536,type,
    product_d_d: ( list_d * list_d ) > list_P8926467638345140077od_d_d ).

tff(func_def_537,type,
    remdups_nat: list_nat > list_nat ).

tff(func_def_538,type,
    remove1_o: ( $o * list_o ) > list_o ).

tff(func_def_539,type,
    remove1_int: ( int * list_int ) > list_int ).

tff(func_def_540,type,
    remove1_nat: ( nat * list_nat ) > list_nat ).

tff(func_def_541,type,
    remove1670527618125605709n_assn: ( produc6575502325842934193n_assn * list_P8527749157015355191n_assn ) > list_P8527749157015355191n_assn ).

tff(func_def_542,type,
    remove5766854097993331357at_nat: ( product_prod_nat_nat * list_P6011104703257516679at_nat ) > list_P6011104703257516679at_nat ).

tff(func_def_543,type,
    remove8895909992688781315at_nat: ( produc3843707927480180839at_nat * list_P5464809261938338413at_nat ) > list_P5464809261938338413at_nat ).

tff(func_def_544,type,
    remove7974380336435659403_nat_o: ( fun_Pr6460944699146269935_nat_o * list_f5222602229612168821_nat_o ) > list_f5222602229612168821_nat_o ).

tff(func_def_545,type,
    remove1_c: ( c * list_c ) > list_c ).

tff(func_def_546,type,
    remove1_d: ( d * list_d ) > list_d ).

tff(func_def_547,type,
    removeAll_o: ( $o * list_o ) > list_o ).

tff(func_def_548,type,
    removeAll_int: ( int * list_int ) > list_int ).

tff(func_def_549,type,
    removeAll_nat: ( nat * list_nat ) > list_nat ).

tff(func_def_550,type,
    remove1763081955827946941n_assn: ( produc6575502325842934193n_assn * list_P8527749157015355191n_assn ) > list_P8527749157015355191n_assn ).

tff(func_def_551,type,
    remove3673390508374433037at_nat: ( product_prod_nat_nat * list_P6011104703257516679at_nat ) > list_P6011104703257516679at_nat ).

tff(func_def_552,type,
    remove4908499291543849587at_nat: ( produc3843707927480180839at_nat * list_P5464809261938338413at_nat ) > list_P5464809261938338413at_nat ).

tff(func_def_553,type,
    remove7905952003072744699_nat_o: ( fun_Pr6460944699146269935_nat_o * list_f5222602229612168821_nat_o ) > list_f5222602229612168821_nat_o ).

tff(func_def_554,type,
    removeAll_c: ( c * list_c ) > list_c ).

tff(func_def_555,type,
    removeAll_d: ( d * list_d ) > list_d ).

tff(func_def_556,type,
    rev_int: list_int > list_int ).

tff(func_def_557,type,
    rev_nat: list_nat > list_nat ).

tff(func_def_558,type,
    rev_Pr4855572775806611735n_assn: list_P8527749157015355191n_assn > list_P8527749157015355191n_assn ).

tff(func_def_559,type,
    rev_Pr4566615052912869567_nat_c: list_P2993859830824179253_nat_c > list_P2993859830824179253_nat_c ).

tff(func_def_560,type,
    rev_Pr4566615057216098368_nat_d: list_P3064893870870525238_nat_d > list_P3064893870870525238_nat_d ).

tff(func_def_561,type,
    rev_Pr8844861255841103093_c_int: list_P3071867362843219819_c_int > list_P3071867362843219819_c_int ).

tff(func_def_562,type,
    rev_Pr3799340238495523993_c_nat: list_P5561950507774946575_c_nat > list_P5561950507774946575_c_nat ).

tff(func_def_563,type,
    rev_Product_prod_c_c: list_P267710562049004973od_c_c > list_P267710562049004973od_c_c ).

tff(func_def_564,type,
    rev_Product_prod_c_d: list_P338744602095350958od_c_d > list_P338744602095350958od_c_d ).

tff(func_def_565,type,
    rev_Pr856933547942721782_d_int: list_P8668085978031350508_d_int > list_P8668085978031350508_d_int ).

tff(func_def_566,type,
    rev_Pr5034784567451918490_d_nat: list_P1934797086108301456_d_nat > list_P1934797086108301456_d_nat ).

tff(func_def_567,type,
    rev_Product_prod_d_c: list_P8855433598298794092od_d_c > list_P8855433598298794092od_d_c ).

tff(func_def_568,type,
    rev_Product_prod_d_d: list_P8926467638345140077od_d_d > list_P8926467638345140077od_d_d ).

tff(func_def_569,type,
    rev_c: list_c > list_c ).

tff(func_def_570,type,
    rev_d: list_d > list_d ).

tff(func_def_571,type,
    rotate1_int: list_int > list_int ).

tff(func_def_572,type,
    rotate1_nat: list_nat > list_nat ).

tff(func_def_573,type,
    rotate328796349445179396n_assn: list_P8527749157015355191n_assn > list_P8527749157015355191n_assn ).

tff(func_def_574,type,
    rotate1_c: list_c > list_c ).

tff(func_def_575,type,
    rotate1_d: list_d > list_d ).

tff(func_def_576,type,
    sorted_wrt_int: fun_int_fun_int_o > fun_list_int_o ).

tff(func_def_577,type,
    sorted_wrt_nat: fun_nat_fun_nat_o > fun_list_nat_o ).

tff(func_def_578,type,
    sorted3986126766855596574n_assn: fun_Pr5295903952624206638assn_o > fun_li2812663585457640420assn_o ).

tff(func_def_579,type,
    sorted_wrt_c: fun_c_fun_c_o > fun_list_c_o ).

tff(func_def_580,type,
    sorted_wrt_d: fun_d_fun_d_o > fun_list_d_o ).

tff(func_def_581,type,
    take_nat: ( nat * list_nat ) > list_nat ).

tff(func_def_582,type,
    union_int: ( list_int * list_int ) > list_int ).

tff(func_def_583,type,
    union_nat: ( list_nat * list_nat ) > list_nat ).

tff(func_def_584,type,
    union_944050417204428971n_assn: ( list_P8527749157015355191n_assn * list_P8527749157015355191n_assn ) > list_P8527749157015355191n_assn ).

tff(func_def_585,type,
    union_4462254032241401953at_nat: ( list_P5464809261938338413at_nat * list_P5464809261938338413at_nat ) > list_P5464809261938338413at_nat ).

tff(func_def_586,type,
    upt: ( nat * nat ) > list_nat ).

tff(func_def_587,type,
    upto: ( int * int ) > list_int ).

tff(func_def_588,type,
    upto_aux: ( int * int * list_int ) > list_int ).

tff(func_def_589,type,
    upto_rel: fun_Pr9018117161326028078_int_o ).

tff(func_def_590,type,
    zip_assn_assn: ( list_assn * list_assn ) > list_P8527749157015355191n_assn ).

tff(func_def_591,type,
    zip_int_int: ( list_int * list_int ) > list_P5707943133018811711nt_int ).

tff(func_def_592,type,
    zip_int_nat: ( list_int * list_nat ) > list_P8198026277950538467nt_nat ).

tff(func_def_593,type,
    zip_in7098856637274830732n_assn: ( list_int * list_P8527749157015355191n_assn ) > list_P1495281457390866698n_assn ).

tff(func_def_594,type,
    zip_in4043968058504772316at_nat: ( list_int * list_P6011104703257516679at_nat ) > list_P812186867033400410at_nat ).

tff(func_def_595,type,
    zip_nat_int: ( list_nat * list_int ) > list_P3521021558325789923at_int ).

tff(func_def_596,type,
    zip_nat_nat: ( list_nat * list_nat ) > list_P6011104703257516679at_nat ).

tff(func_def_597,type,
    zip_na5338819973521719528n_assn: ( list_nat * list_P8527749157015355191n_assn ) > list_P7711101519850957926n_assn ).

tff(func_def_598,type,
    zip_na1006125974040638520at_nat: ( list_nat * list_P6011104703257516679at_nat ) > list_P1909269847677398966at_nat ).

tff(func_def_599,type,
    zip_nat_c: ( list_nat * list_c ) > list_P2993859830824179253_nat_c ).

tff(func_def_600,type,
    zip_nat_d: ( list_nat * list_d ) > list_P3064893870870525238_nat_d ).

tff(func_def_601,type,
    zip_Pr1015554993053626726sn_int: ( list_P8527749157015355191n_assn * list_int ) > list_P421884338359569308sn_int ).

tff(func_def_602,type,
    zip_Pr1018045463562677002sn_nat: ( list_P8527749157015355191n_assn * list_nat ) > list_P2911967483291296064sn_nat ).

tff(func_def_603,type,
    zip_Pr8806919808394484215n_assn: ( list_P8527749157015355191n_assn * list_P8527749157015355191n_assn ) > list_P28140577958321773n_assn ).

tff(func_def_604,type,
    zip_Pr6866960147343648950at_int: ( list_P6011104703257516679at_nat * list_int ) > list_P3463813956764838636at_int ).

tff(func_def_605,type,
    zip_Pr6869450617852699226at_nat: ( list_P6011104703257516679at_nat * list_nat ) > list_P5953897101696565392at_nat ).

tff(func_def_606,type,
    zip_Pr4664179122662387191at_nat: ( list_P6011104703257516679at_nat * list_P6011104703257516679at_nat ) > list_P8469869581646625389at_nat ).

tff(func_def_607,type,
    zip_Pr2522280425463452279at_nat: ( list_P5464809261938338413at_nat * list_P5464809261938338413at_nat ) > list_P6548900253507351021at_nat ).

tff(func_def_608,type,
    zip_se5600341670672612855at_nat: ( list_s1210847774152347623at_nat * list_s1210847774152347623at_nat ) > list_P5464809261938338413at_nat ).

tff(func_def_609,type,
    zip_fu2910578966527623617nt_int: ( list_f628289730585369423e_term * list_P5707943133018811711nt_int ) > list_P932735248015874751nt_int ).

tff(func_def_610,type,
    zip_fu4451626411769283112nteger: ( list_f4306079564415238026e_term * list_P5578671422887162913nteger ) > list_P2959130015091922598nteger ).

tff(func_def_611,type,
    zip_fu1498620252286093946et_nat: ( list_f5222602229612168821_nat_o * list_P9062070895058802706et_nat ) > list_P8836981409019564976et_nat ).

tff(func_def_612,type,
    zip_fu1756369540273021848et_nat: ( list_f5222602229612168821_nat_o * list_P8836981409019564976et_nat ) > list_P4783563340545138382et_nat ).

tff(func_def_613,type,
    zip_fu9027317310109951095_nat_o: ( list_f5222602229612168821_nat_o * list_f5222602229612168821_nat_o ) > list_P7236803063094035949_nat_o ).

tff(func_def_614,type,
    zip_fu5048005673116055189nt_int: ( list_f280343417242313083e_term * list_P5707943133018811711nt_int ) > list_P2843741347166045587nt_int ).

tff(func_def_615,type,
    zip_c_int: ( list_c * list_int ) > list_P3071867362843219819_c_int ).

tff(func_def_616,type,
    zip_c_nat: ( list_c * list_nat ) > list_P5561950507774946575_c_nat ).

tff(func_def_617,type,
    zip_c_c: ( list_c * list_c ) > list_P267710562049004973od_c_c ).

tff(func_def_618,type,
    zip_c_d: ( list_c * list_d ) > list_P338744602095350958od_c_d ).

tff(func_def_619,type,
    zip_d_int: ( list_d * list_int ) > list_P8668085978031350508_d_int ).

tff(func_def_620,type,
    zip_d_nat: ( list_d * list_nat ) > list_P1934797086108301456_d_nat ).

tff(func_def_621,type,
    zip_d_c: ( list_d * list_c ) > list_P8855433598298794092od_d_c ).

tff(func_def_622,type,
    zip_d_d: ( list_d * list_d ) > list_P8926467638345140077od_d_d ).

tff(func_def_623,type,
    bijective_nat_nat: fun_se4782206882984618170_nat_o ).

tff(func_def_624,type,
    merge_Code_integer: ( list_Code_integer * list_Code_integer ) > list_Code_integer ).

tff(func_def_625,type,
    merge_int: ( list_int * list_int ) > list_int ).

tff(func_def_626,type,
    merge_nat: ( list_nat * list_nat ) > list_nat ).

tff(func_def_627,type,
    merge_num: ( list_num * list_num ) > list_num ).

tff(func_def_628,type,
    merges1654122896337280797ps_int: list_int > list_int ).

tff(func_def_629,type,
    merges1656613366846331073ps_nat: list_nat > list_nat ).

tff(func_def_630,type,
    slice_int: ( nat * nat * list_int ) > list_int ).

tff(func_def_631,type,
    slice_nat: ( nat * nat * list_nat ) > list_nat ).

tff(func_def_632,type,
    slice_7964966981652229398n_assn: ( nat * nat * list_P8527749157015355191n_assn ) > list_P8527749157015355191n_assn ).

tff(func_def_633,type,
    slice_c: ( nat * nat * list_c ) > list_c ).

tff(func_def_634,type,
    slice_d: ( nat * nat * list_d ) > list_d ).

tff(func_def_635,type,
    zipf_int_int_int: ( fun_int_fun_int_int * list_int * list_int ) > list_int ).

tff(func_def_636,type,
    zipf_int_int_nat: ( fun_int_fun_int_nat * list_int * list_int ) > list_nat ).

tff(func_def_637,type,
    zipf_i7756021159461276697n_assn: ( fun_in4433485590553487243n_assn * list_int * list_int ) > list_P8527749157015355191n_assn ).

tff(func_def_638,type,
    zipf_int_nat_int: ( fun_int_fun_nat_int * list_int * list_nat ) > list_int ).

tff(func_def_639,type,
    zipf_int_nat_nat: ( fun_int_fun_nat_nat * list_int * list_nat ) > list_nat ).

tff(func_def_640,type,
    zipf_i5995984495708165493n_assn: ( fun_in1425933616158802663n_assn * list_int * list_nat ) > list_P8527749157015355191n_assn ).

tff(func_def_641,type,
    zipf_nat_int_int: ( fun_nat_fun_int_int * list_nat * list_int ) > list_int ).

tff(func_def_642,type,
    zipf_nat_int_nat: ( fun_nat_fun_int_nat * list_nat * list_int ) > list_nat ).

tff(func_def_643,type,
    zipf_nat_nat_int: ( fun_nat_fun_nat_int * list_nat * list_nat ) > list_int ).

tff(func_def_644,type,
    zipf_nat_nat_nat: ( fun_nat_fun_nat_nat * list_nat * list_nat ) > list_nat ).

tff(func_def_645,type,
    zipf_n5773672615478942615_nat_c: ( fun_na3893605480571770689_nat_c * list_nat * list_c ) > list_P2993859830824179253_nat_c ).

tff(func_def_646,type,
    zipf_n3657244561791696409_nat_d: ( fun_na5312369548907571267_nat_d * list_nat * list_d ) > list_P3064893870870525238_nat_d ).

tff(func_def_647,type,
    zipf_c230841880303976139_c_int: ( fun_c_7407439992320401047_c_int * list_c * list_int ) > list_P3071867362843219819_c_int ).

tff(func_def_648,type,
    zipf_c7084520048314076179_c_nat: ( fun_c_1789499241325163999_c_nat * list_c * list_nat ) > list_P5561950507774946575_c_nat ).

tff(func_def_649,type,
    zipf_c684006316856269033od_c_c: ( fun_c_2859510705545432445od_c_c * list_c * list_c ) > list_P267710562049004973od_c_c ).

tff(func_def_650,type,
    zipf_c44566020827681705od_c_d: ( fun_c_8225647604158478269od_c_d * list_c * list_d ) > list_P338744602095350958od_c_d ).

tff(func_def_651,type,
    zipf_d997717096299170253_d_int: ( fun_d_2234230340994827929_d_int * list_d * list_int ) > list_P8668085978031350508_d_int ).

tff(func_def_652,type,
    zipf_d7851395264309270293_d_nat: ( fun_d_5839661626854366689_d_nat * list_d * list_nat ) > list_P1934797086108301456_d_nat ).

tff(func_def_653,type,
    zipf_d1836499321508429225od_d_c: ( fun_d_7375468105587134781od_d_c * list_d * list_c ) > list_P8855433598298794092od_d_c ).

tff(func_def_654,type,
    zipf_d1197059025479841897od_d_d: ( fun_d_3518232967345404797od_d_d * list_d * list_d ) > list_P8926467638345140077od_d_d ).

tff(func_def_655,type,
    add_ms2612439473150266591at_nat: ( product_prod_nat_nat * multis2468970476368604999at_nat ) > multis2468970476368604999at_nat ).

tff(func_def_656,type,
    ms_strict: set_Pr8551490117392284871at_nat ).

tff(func_def_657,type,
    ms_weak: set_Pr8551490117392284871at_nat ).

tff(func_def_658,type,
    set_ms8126754132646256062at_nat: multis2468970476368604999at_nat > set_Pr1261947904930325089at_nat ).

tff(func_def_659,type,
    suc: fun_nat_nat ).

tff(func_def_660,type,
    semiri4939895301339042750nteger: fun_nat_Code_integer ).

tff(func_def_661,type,
    semiri1314217659103216013at_int: fun_nat_int ).

tff(func_def_662,type,
    size_size_list_o: list_o > nat ).

tff(func_def_663,type,
    size_size_list_assn: list_assn > nat ).

tff(func_def_664,type,
    size_s3445333598471063425nteger: list_Code_integer > nat ).

tff(func_def_665,type,
    size_size_list_int: list_int > nat ).

tff(func_def_666,type,
    size_size_list_nat: list_nat > nat ).

tff(func_def_667,type,
    size_size_list_num: list_num > nat ).

tff(func_def_668,type,
    size_s6829681357464350627n_assn: list_P8527749157015355191n_assn > nat ).

tff(func_def_669,type,
    size_s2970893825323803983at_int: list_P3521021558325789923at_int > nat ).

tff(func_def_670,type,
    size_s5460976970255530739at_nat: list_P6011104703257516679at_nat > nat ).

tff(func_def_671,type,
    size_s385972143775086793_nat_c: list_P2993859830824179253_nat_c > nat ).

tff(func_def_672,type,
    size_s457006183821432778_nat_d: list_P3064893870870525238_nat_d > nat ).

tff(func_def_673,type,
    size_s1588839187904960729at_nat: list_P5464809261938338413at_nat > nat ).

tff(func_def_674,type,
    size_s463979675794127359_c_int: list_P3071867362843219819_c_int > nat ).

tff(func_def_675,type,
    size_s2954062820725854115_c_nat: list_P5561950507774946575_c_nat > nat ).

tff(func_def_676,type,
    size_s2756448709718749209od_c_c: list_P267710562049004973od_c_c > nat ).

tff(func_def_677,type,
    size_s2827482749765095194od_c_d: list_P338744602095350958od_c_d > nat ).

tff(func_def_678,type,
    size_s6060198290982258048_d_int: list_P8668085978031350508_d_int > nat ).

tff(func_def_679,type,
    size_s8550281435913984804_d_nat: list_P1934797086108301456_d_nat > nat ).

tff(func_def_680,type,
    size_s2120799709113762520od_d_c: list_P8855433598298794092od_d_c > nat ).

tff(func_def_681,type,
    size_s2191833749160108505od_d_d: list_P8926467638345140077od_d_d > nat ).

tff(func_def_682,type,
    size_s8736152011456118867at_nat: list_s1210847774152347623at_nat > nat ).

tff(func_def_683,type,
    size_s7422308124397347553_nat_o: list_f5222602229612168821_nat_o > nat ).

tff(func_def_684,type,
    size_size_list_c: list_c > nat ).

tff(func_def_685,type,
    size_size_list_d: list_d > nat ).

tff(func_def_686,type,
    size_s8510653225128441779at_nat: multis2468970476368604999at_nat > nat ).

tff(func_def_687,type,
    nat_list_encode: list_nat > nat ).

tff(func_def_688,type,
    nat_list_encode_rel: fun_li1025265955262268170_nat_o ).

tff(func_def_689,type,
    nat_prod_decode_aux: ( nat * nat ) > product_prod_nat_nat ).

tff(func_def_690,type,
    nat_pr5047031295181774490ux_rel: fun_Pr2028404973800837934_nat_o ).

tff(func_def_691,type,
    nat_prod_encode: product_prod_nat_nat > nat ).

tff(func_def_692,type,
    nat_set_decode: nat > set_nat ).

tff(func_def_693,type,
    nat_set_encode: set_nat > nat ).

tff(func_def_694,type,
    bitM: fun_num_num ).

tff(func_def_695,type,
    inc: fun_num_num ).

tff(func_def_696,type,
    nat_of_num: num > nat ).

tff(func_def_697,type,
    neg_nu7757733837767384882nteger: fun_Co8499238673658658103nteger ).

tff(func_def_698,type,
    neg_nu3811975205180677377ec_int: fun_int_int ).

tff(func_def_699,type,
    neg_nu3179335615603231917ec_rat: rat > rat ).

tff(func_def_700,type,
    bit0: fun_num_num ).

tff(func_def_701,type,
    bit1: fun_num_num ).

tff(func_def_702,type,
    one: num ).

tff(func_def_703,type,
    num_of_nat: fun_nat_num ).

tff(func_def_704,type,
    numera6620942414471956472nteger: fun_num_Code_integer ).

tff(func_def_705,type,
    numera5444537566228673987atural: num > code_natural ).

tff(func_def_706,type,
    numeral_numeral_int: num > int ).

tff(func_def_707,type,
    numeral_numeral_nat: num > nat ).

tff(func_def_708,type,
    numeral_numeral_rat: num > rat ).

tff(func_def_709,type,
    pred_numeral: num > nat ).

tff(func_def_710,type,
    none_P9117596204409417319it_nat: option8956607266484857688it_nat ).

tff(func_def_711,type,
    some_P1914260805536162275it_nat: produc8664842809031399944it_nat > option8956607266484857688it_nat ).

tff(func_def_712,type,
    order_underS_nat: ( set_Pr1261947904930325089at_nat * nat ) > set_nat ).

tff(func_def_713,type,
    order_2888998067076097458on_nat: set_nat > fun_se4782206882984618170_nat_o ).

tff(func_def_714,type,
    bot_bot_assn: assn ).

tff(func_def_715,type,
    bot_bot_filter_nat: filter_nat ).

tff(func_def_716,type,
    bot_bot_nat: nat ).

tff(func_def_717,type,
    bot_bot_set_o: set_o ).

tff(func_def_718,type,
    bot_bot_set_int: set_int ).

tff(func_def_719,type,
    bot_bot_set_nat: set_nat ).

tff(func_def_720,type,
    bot_bo7073875226086086771od_o_o: set_Product_prod_o_o ).

tff(func_def_721,type,
    bot_bo1176836662018730877n_assn: set_Pr5949110396991348497n_assn ).

tff(func_def_722,type,
    bot_bo1796632182523588997nt_int: set_Pr958786334691620121nt_int ).

tff(func_def_723,type,
    bot_bo2099793752762293965at_nat: set_Pr1261947904930325089at_nat ).

tff(func_def_724,type,
    bot_bo5327735625951526323at_nat: set_Pr8693737435421807431at_nat ).

tff(func_def_725,type,
    bot_bo7193250159860175667at_nat: set_Pr5564308138774400199at_nat ).

tff(func_def_726,type,
    bot_bo228742789529271731at_nat: set_Pr4329608150637261639at_nat ).

tff(func_def_727,type,
    bot_bo3083307316010499117at_nat: set_se7855581050983116737at_nat ).

tff(func_def_728,type,
    bot_bo8632255151191677115_nat_o: set_fu3555266933746557007_nat_o ).

tff(func_def_729,type,
    bot_bot_set_c: set_c ).

tff(func_def_730,type,
    bot_bot_set_d: set_d ).

tff(func_def_731,type,
    bot_bot_fun_o_o: fun_o_o ).

tff(func_def_732,type,
    bot_bot_fun_int_o: fun_int_o ).

tff(func_def_733,type,
    bot_bot_fun_nat_o: fun_nat_o ).

tff(func_def_734,type,
    bot_bo5074786513356115630_nat_o: fun_Pr4796943543331071514_nat_o ).

tff(func_def_735,type,
    bot_bo7185553284675209288_nat_o: fun_Pr3059359313727237556_nat_o ).

tff(func_def_736,type,
    bot_bo8793957029302321216at_o_o: fun_fu5135969500543783852at_o_o ).

tff(func_def_737,type,
    ord_less_assn: assn > fun_assn_o ).

tff(func_def_738,type,
    ord_le6747313008572928689nteger: fun_Co2081214437782444048eger_o ).

tff(func_def_739,type,
    ord_less_int: fun_int_fun_int_o ).

tff(func_def_740,type,
    ord_less_nat: fun_nat_fun_nat_o ).

tff(func_def_741,type,
    ord_less_num: fun_num_fun_num_o ).

tff(func_def_742,type,
    ord_less_rat: rat > fun_rat_o ).

tff(func_def_743,type,
    ord_le7866589430770878221at_nat: fun_se5639961202347202350_nat_o ).

tff(func_def_744,type,
    ord_less_eq_assn: assn > fun_assn_o ).

tff(func_def_745,type,
    ord_le3102999989581377725nteger: fun_Co2081214437782444048eger_o ).

tff(func_def_746,type,
    ord_less_eq_int: fun_int_fun_int_o ).

tff(func_def_747,type,
    ord_less_eq_nat: fun_nat_fun_nat_o ).

tff(func_def_748,type,
    ord_less_eq_num: fun_num_fun_num_o ).

tff(func_def_749,type,
    ord_less_eq_rat: rat > fun_rat_o ).

tff(func_def_750,type,
    ord_le3146513528884898305at_nat: fun_se5639961202347202350_nat_o ).

tff(func_def_751,type,
    ord_max_nat: fun_nat_fun_nat_nat ).

tff(func_def_752,type,
    ord_min_assn: fun_as3983628580203722482n_assn ).

tff(func_def_753,type,
    ord_min_Code_integer: code_integer > fun_Co8499238673658658103nteger ).

tff(func_def_754,type,
    ord_min_filter_nat: fun_fi7557781610047541018er_nat ).

tff(func_def_755,type,
    ord_min_int: fun_int_fun_int_int ).

tff(func_def_756,type,
    ord_min_nat: fun_nat_fun_nat_nat ).

tff(func_def_757,type,
    ord_min_num: num > fun_num_num ).

tff(func_def_758,type,
    ord_min_rat: ( rat * rat ) > rat ).

tff(func_def_759,type,
    ord_min_set_o: ( set_o * set_o ) > set_o ).

tff(func_def_760,type,
    ord_min_set_int: ( set_int * set_int ) > set_int ).

tff(func_def_761,type,
    ord_min_set_nat: fun_se1909708154429037836et_nat ).

tff(func_def_762,type,
    ord_mi4194197829855655752at_nat: fun_se3560235952666129655at_nat ).

tff(func_def_763,type,
    ord_mi6693596345299712430at_nat: fun_se177437144654672861at_nat ).

tff(func_def_764,type,
    ordering_top_nat: ( fun_nat_fun_nat_o * fun_nat_fun_nat_o ) > fun_nat_o ).

tff(func_def_765,type,
    top_top_assn: assn ).

tff(func_def_766,type,
    top_top_set_o: set_o ).

tff(func_def_767,type,
    top_top_set_nat: set_nat ).

tff(func_def_768,type,
    power_power_assn: assn > fun_nat_assn ).

tff(func_def_769,type,
    power_8256067586552552935nteger: code_integer > fun_nat_Code_integer ).

tff(func_def_770,type,
    power_power_int: fun_int_fun_nat_int ).

tff(func_def_771,type,
    power_power_nat: fun_nat_fun_nat_nat ).

tff(func_def_772,type,
    power_power_rat: ( rat * nat ) > rat ).

tff(func_def_773,type,
    product_Pair_o_o: ( $o * $o ) > product_prod_o_o ).

tff(func_def_774,type,
    produc118845697133431529n_assn: ( assn * assn ) > produc6575502325842934193n_assn ).

tff(func_def_775,type,
    produc6677183202524767010eger_o: ( code_integer * $o ) > produc6271795597528267376eger_o ).

tff(func_def_776,type,
    produc1086072967326762835nteger: ( code_integer * code_integer ) > produc8923325533196201883nteger ).

tff(func_def_777,type,
    produc3574140220909816553atural: ( code_natural * code_natural ) > produc7822875418678951345atural ).

tff(func_def_778,type,
    produc6639722614265839536atural: code_natural > fun_Pr7769407664385210434atural ).

tff(func_def_779,type,
    produc584006145561248582it_nat: ( heap_e7401611519738050253t_unit * nat ) > produc6653097349344004940it_nat ).

tff(func_def_780,type,
    produc7507926704131184380et_nat: ( heap_e7401611519738050253t_unit * set_nat ) > produc3658429121746597890et_nat ).

tff(func_def_781,type,
    product_Pair_int_int: int > fun_in4211310926729683942nt_int ).

tff(func_def_782,type,
    product_Pair_int_nat: ( int * nat ) > product_prod_int_nat ).

tff(func_def_783,type,
    produc3313821056773121708n_assn: ( int * produc6575502325842934193n_assn ) > produc3167338625816234618n_assn ).

tff(func_def_784,type,
    produc3525228511222278652at_nat: ( int * product_prod_nat_nat ) > produc1062882101152166346at_nat ).

tff(func_def_785,type,
    produc364263696895485585st_int: ( list_int * list_int ) > produc1186641810826059865st_int ).

tff(func_def_786,type,
    produc4542114716404682293st_nat: ( list_int * list_nat ) > produc3676724955757786621st_nat ).

tff(func_def_787,type,
    produc4510294837168919970n_assn: ( list_int * list_P8527749157015355191n_assn ) > produc8582807064127716720n_assn ).

tff(func_def_788,type,
    produc7739558402351520821st_int: ( list_nat * list_int ) > produc8561936516282095101st_int ).

tff(func_def_789,type,
    produc2694037385005941721st_nat: ( list_nat * list_nat ) > produc1828647624359046049st_nat ).

tff(func_def_790,type,
    produc7706768604797473534n_assn: ( list_nat * list_P8527749157015355191n_assn ) > produc2555908794901494476n_assn ).

tff(func_def_791,type,
    produc7723716018658481613list_c: ( list_nat * list_c ) > produc1655478831073744795list_c ).

tff(func_def_792,type,
    produc7723716022961710414list_d: ( list_nat * list_d ) > produc1726512871120090780list_d ).

tff(func_def_793,type,
    produc1996262876970182428st_int: ( list_P8527749157015355191n_assn * list_int ) > produc4164172529858598818st_int ).

tff(func_def_794,type,
    produc6174113896479379136st_nat: ( list_P8527749157015355191n_assn * list_nat ) > produc6654255674790325574st_nat ).

tff(func_def_795,type,
    produc3014731801419794263n_assn: ( list_P8527749157015355191n_assn * list_P8527749157015355191n_assn ) > produc337509097454979815n_assn ).

tff(func_def_796,type,
    produc7536900900485677911at_nat: ( list_s1210847774152347623at_nat * list_s1210847774152347623at_nat ) > produc424102278133772007at_nat ).

tff(func_def_797,type,
    produc1948897715771513579st_int: ( list_c * list_int ) > produc8499486975545879281st_int ).

tff(func_def_798,type,
    produc6126748735280710287st_nat: ( list_c * list_nat ) > produc1766198083622830229st_nat ).

tff(func_def_799,type,
    produc5515445818230282391list_c: ( list_c * list_c ) > produc7985223085803476903list_c ).

tff(func_def_800,type,
    produc5515445822533511192list_d: ( list_c * list_d ) > produc8056257125849822888list_d ).

tff(func_def_801,type,
    produc2615797191311421932st_int: ( list_d * list_int ) > produc9166386451085787634st_int ).

tff(func_def_802,type,
    produc6793648210820618640st_nat: ( list_d * list_nat ) > produc2433097559162738582st_nat ).

tff(func_def_803,type,
    produc242965416994095062list_c: ( list_d * list_c ) > produc2712742684567289574list_c ).

tff(func_def_804,type,
    produc242965421297323863list_d: ( list_d * list_d ) > produc2783776724613635559list_d ).

tff(func_def_805,type,
    produc4348348721325984599at_nat: ( multis2468970476368604999at_nat * multis2468970476368604999at_nat ) > produc4166570645942440679at_nat ).

tff(func_def_806,type,
    product_Pair_nat_int: ( nat * int ) > product_prod_nat_int ).

tff(func_def_807,type,
    product_Pair_nat_nat: nat > fun_na1476630412504255114at_nat ).

tff(func_def_808,type,
    produc1553784393020010504n_assn: ( nat * produc6575502325842934193n_assn ) > produc1407301962063123414n_assn ).

tff(func_def_809,type,
    produc487386426758144856at_nat: ( nat * product_prod_nat_nat ) > produc7248412053542808358at_nat ).

tff(func_def_810,type,
    product_Pair_nat_c: fun_na3893605480571770689_nat_c ).

tff(func_def_811,type,
    product_Pair_nat_d: fun_na5312369548907571267_nat_d ).

tff(func_def_812,type,
    product_Pair_num_num: ( num * num ) > product_prod_num_num ).

tff(func_def_813,type,
    produc6453891449406693510sn_int: ( produc6575502325842934193n_assn * int ) > produc8718178513971670540sn_int ).

tff(func_def_814,type,
    produc6456381919915743786sn_nat: ( produc6575502325842934193n_assn * nat ) > produc3672657496626091440sn_nat ).

tff(func_def_815,type,
    produc6128706242671166167n_assn: ( produc6575502325842934193n_assn * produc6575502325842934193n_assn ) > produc9053633027152450663n_assn ).

tff(func_def_816,type,
    produc4480994950612372183atural: ( produc7822875418678951345atural * produc7822875418678951345atural ) > produc6756470014200349799atural ).

tff(func_def_817,type,
    produc6348220600061155286at_int: ( product_prod_nat_nat * int ) > produc4196048018000912732at_int ).

tff(func_def_818,type,
    produc6350711070570205562at_nat: ( product_prod_nat_nat * nat ) > produc8373899037510109440at_nat ).

tff(func_def_819,type,
    produc6161850002892822231at_nat: ( product_prod_nat_nat * product_prod_nat_nat ) > produc859450856879609959at_nat ).

tff(func_def_820,type,
    produc2335810615602371415at_nat: ( produc3843707927480180839at_nat * produc3843707927480180839at_nat ) > produc1906917888121415911at_nat ).

tff(func_def_821,type,
    produc4613263410003446007nt_int: ( produc4788131091073775919nt_int * produc4788131091073775919nt_int ) > produc3192696172498486335nt_int ).

tff(func_def_822,type,
    produc2269347123789068741nteger: ( produc2453742332425399446nteger * produc2453742332425399446nteger ) > produc7379341420752632205nteger ).

tff(func_def_823,type,
    produc8050396023069295193et_nat: ( produc8799533983703829792et_nat * produc8799533983703829792et_nat ) > produc8893060842726229537et_nat ).

tff(func_def_824,type,
    produc7768440062179809557et_nat: ( produc3112576180687729086et_nat * produc3112576180687729086et_nat ) > produc505541996239113949et_nat ).

tff(func_def_825,type,
    produc5411871556384885407nt_int: ( produc3043004577601930755nt_int * produc3043004577601930755nt_int ) > produc881187336974765031nt_int ).

tff(func_def_826,type,
    produc7133225469290080770it_nat: ( product_unit * produc6653097349344004940it_nat ) > produc8664842809031399944it_nat ).

tff(func_def_827,type,
    produc763777882069021527od_o_o: ( set_Product_prod_o_o * set_Product_prod_o_o ) > produc2934264451710624999od_o_o ).

tff(func_def_828,type,
    produc8517790099723286449at_nat: ( set_Product_prod_o_o * set_Pr1261947904930325089at_nat ) > produc732395585841259969at_nat ).

tff(func_def_829,type,
    produc5245064249948416855at_nat: ( set_Pr8551490117392284871at_nat * set_Pr8551490117392284871at_nat ) > produc4193628355235574503at_nat ).

tff(func_def_830,type,
    produc2922128104949294807at_nat: ( set_Pr1261947904930325089at_nat * set_Pr1261947904930325089at_nat ) > produc3843707927480180839at_nat ).

tff(func_def_831,type,
    produc9060074326276436823at_nat: ( set_Pr4329608150637261639at_nat * set_Pr4329608150637261639at_nat ) > produc1319942482725812455at_nat ).

tff(func_def_832,type,
    produc7264323995540650962nteger: ( fun_Co3460408610320954864e_term * produc8923325533196201883nteger ) > produc7509114972854644512nteger ).

tff(func_def_833,type,
    produc3379161622255323613atural: ( fun_Co6386927884524458043e_term * produc7822875418678951345atural ) > produc7476732711998919211atural ).

tff(func_def_834,type,
    produc4729913460834754785nt_int: ( fun_in5730379987311621695e_term * product_prod_int_int ) > produc4788131091073775919nt_int ).

tff(func_def_835,type,
    produc2087893702315799767st_int: ( fun_int_fun_int_o * list_int ) > produc5262460917026302941st_int ).

tff(func_def_836,type,
    produc5831067002601796915st_nat: ( fun_nat_fun_nat_o * list_nat ) > produc7317866342734830137st_nat ).

tff(func_def_837,type,
    produc397425096546726432n_assn: ( fun_Pr5295903952624206638assn_o * list_P8527749157015355191n_assn ) > produc3664700245209686448n_assn ).

tff(func_def_838,type,
    produc565448451787809096nteger: ( fun_Pr5098669352780829690e_term * produc8923325533196201883nteger ) > produc2453742332425399446nteger ).

tff(func_def_839,type,
    produc3399137497101226409atural: ( fun_Pr285225112257423215e_term * produc7822875418678951345atural ) > produc9140211490168418807atural ).

tff(func_def_840,type,
    produc6017135503889078682et_nat: ( fun_Pr6460944699146269935_nat_o * produc3658429121746597890et_nat ) > produc8799533983703829792et_nat ).

tff(func_def_841,type,
    produc7291855603632349880et_nat: ( fun_Pr6460944699146269935_nat_o * produc8799533983703829792et_nat ) > produc3112576180687729086et_nat ).

tff(func_def_842,type,
    produc4714251849521319255_nat_o: ( fun_Pr6460944699146269935_nat_o * fun_Pr6460944699146269935_nat_o ) > produc6671579610312156647_nat_o ).

tff(func_def_843,type,
    produc7320969046608631221nt_int: ( fun_Pr7763680713840462443e_term * product_prod_int_int ) > produc3043004577601930755nt_int ).

tff(func_def_844,type,
    product_Pair_c_int: fun_c_7407439992320401047_c_int ).

tff(func_def_845,type,
    product_Pair_c_nat: fun_c_1789499241325163999_c_nat ).

tff(func_def_846,type,
    product_Pair_c_c: fun_c_2859510705545432445od_c_c ).

tff(func_def_847,type,
    product_Pair_c_d: fun_c_8225647604158478269od_c_d ).

tff(func_def_848,type,
    product_Pair_d_int: fun_d_2234230340994827929_d_int ).

tff(func_def_849,type,
    product_Pair_d_nat: fun_d_5839661626854366689_d_nat ).

tff(func_def_850,type,
    product_Pair_d_c: fun_d_7375468105587134781od_d_c ).

tff(func_def_851,type,
    product_Pair_d_d: fun_d_3518232967345404797od_d_d ).

tff(func_def_852,type,
    produc457027306803732586at_nat: ( set_nat * fun_nat_set_nat ) > set_Pr1261947904930325089at_nat ).

tff(func_def_853,type,
    product_Unity: product_unit ).

tff(func_def_854,type,
    produc6499014454317279255nteger: fun_fu4800041728187187127nteger ).

tff(func_def_855,type,
    produc2168430993391648169_int_o: fun_Pr1196100989263358594_int_o > fun_fu2978539155105838238_int_o ).

tff(func_def_856,type,
    produc177509963858859394eger_o: fun_Pr7015759342434529115eger_o > fun_fu7695273699059480439eger_o ).

tff(func_def_857,type,
    produc4701769847872139056_nat_o: fun_Pr2620521676128474833_nat_o > fun_fu8419763957888848259_nat_o ).

tff(func_def_858,type,
    produc3333590387107866898_nat_o: fun_Pr1227177680593602867_nat_o > fun_fu2611741329380808165_nat_o ).

tff(func_def_859,type,
    produc443495763101479893_int_o: fun_Pr3540825087398332590_int_o > fun_fu6865642474282033866_int_o ).

tff(func_def_860,type,
    produc7274209992780475162assn_o: fun_assn_fun_assn_o > fun_Pr3571187171380813162assn_o ).

tff(func_def_861,type,
    produc9125791028180074456eger_o: ( fun_Co3544761417380347684eger_o * produc8923325533196201883nteger ) > produc6271795597528267376eger_o ).

tff(func_def_862,type,
    produc6916734918728496179nteger: ( fun_Co2470855966376689427nteger * produc8923325533196201883nteger ) > produc8923325533196201883nteger ).

tff(func_def_863,type,
    produc8282080750456430313atural: ( fun_Co1890133979025130057atural * produc7822875418678951345atural ) > produc6756470014200349799atural ).

tff(func_def_864,type,
    produc4245557441103728435nt_int: ( fun_in1696471567231710611nt_int * product_prod_int_int ) > product_prod_int_int ).

tff(func_def_865,type,
    produc6081775807080527818_nat_o: fun_nat_fun_nat_o > fun_Pr4796943543331071514_nat_o ).

tff(func_def_866,type,
    produc2626176000494625587at_nat: fun_na4138050610385705875at_nat > fun_Pr2118491707810114563at_nat ).

tff(func_def_867,type,
    produc6395135316500328296_nat_o: fun_na5914473681949881652_nat_o > fun_Pr2028404973800837934_nat_o ).

tff(func_def_868,type,
    produc4528391901023682385at_nat: fun_na1668100129766719005at_nat > fun_Pr2477239776880934807at_nat ).

tff(func_def_869,type,
    produc9167289414957590229n_assn: fun_Pr3816910165196019820n_assn ).

tff(func_def_870,type,
    produc1824681642469235216et_nat: produc3658429121746597890et_nat > heap_e7401611519738050253t_unit ).

tff(func_def_871,type,
    product_fst_int_int: product_prod_int_int > int ).

tff(func_def_872,type,
    produc2051961928117032727n_assn: fun_Pr3816910165196019820n_assn ).

tff(func_def_873,type,
    produc6591912806276919810atural: produc5835291356934675326atural > produc7822875418678951345atural ).

tff(func_def_874,type,
    produc8586169260539613262et_nat: produc3658429121746597890et_nat > set_nat ).

tff(func_def_875,type,
    product_snd_int_int: product_prod_int_int > int ).

tff(func_def_876,type,
    produc5538323210962509403atural: ( fun_Pr7769407664385210434atural * fun_Co1105491363547889651atural ) > fun_Pr7769407664385210434atural ).

tff(func_def_877,type,
    inc_shift: ( code_natural * code_natural ) > code_natural ).

tff(func_def_878,type,
    iterat8892046348760725948atural: ( code_natural * fun_Co1105491363547889651atural * code_natural ) > fun_Pr7769407664385210434atural ).

tff(func_def_879,type,
    log: ( code_natural * code_natural ) > code_natural ).

tff(func_def_880,type,
    log_rel: fun_Pr3592279944642289454ural_o ).

tff(func_def_881,type,
    minus_shift: ( code_natural * code_natural * code_natural ) > code_natural ).

tff(func_def_882,type,
    next: fun_Pr7769407664385210434atural ).

tff(func_def_883,type,
    range: code_natural > fun_Pr7769407664385210434atural ).

tff(func_def_884,type,
    split_seed: produc7822875418678951345atural > produc6756470014200349799atural ).

tff(func_def_885,type,
    abs_Rat: fun_Pr1652463973008025892nt_rat ).

tff(func_def_886,type,
    fract: fun_int_fun_int_rat ).

tff(func_def_887,type,
    frct: product_prod_int_int > rat ).

tff(func_def_888,type,
    rep_Rat: fun_ra4503298312962071866nt_int ).

tff(func_def_889,type,
    normalize: product_prod_int_int > product_prod_int_int ).

tff(func_def_890,type,
    of_int: int > rat ).

tff(func_def_891,type,
    pcr_rat: fun_Pr7537129237977221859_rat_o ).

tff(func_def_892,type,
    quotient_of: rat > product_prod_int_int ).

tff(func_def_893,type,
    ratrel: fun_Pr9018117161326028078_int_o ).

tff(func_def_894,type,
    refine_Imp_assert: $o > heap_T5738788834812785303t_unit ).

tff(func_def_895,type,
    field_o: set_Product_prod_o_o > set_o ).

tff(func_def_896,type,
    field_int: set_Pr958786334691620121nt_int > set_int ).

tff(func_def_897,type,
    field_nat: set_Pr1261947904930325089at_nat > set_nat ).

tff(func_def_898,type,
    field_4706345496283612622at_nat: set_Pr8693737435421807431at_nat > set_Pr1261947904930325089at_nat ).

tff(func_def_899,type,
    field_2862844103579723188at_nat: set_Pr5564308138774400199at_nat > set_Pr4329608150637261639at_nat ).

tff(func_def_900,type,
    field_3145993188331922222at_nat: set_Pr4329608150637261639at_nat > set_se7855581050983116737at_nat ).

tff(func_def_901,type,
    field_48612661033931452_nat_o: set_Pr2890355626087285447_nat_o > set_fu3555266933746557007_nat_o ).

tff(func_def_902,type,
    total_on_nat: set_nat > fun_se4782206882984618170_nat_o ).

tff(func_def_903,type,
    algebr932160517623751201me_int: fun_int_fun_int_o ).

tff(func_def_904,type,
    algebr934650988132801477me_nat: fun_nat_fun_nat_o ).

tff(func_def_905,type,
    divide6298287555418463151nteger: code_integer > fun_Co8499238673658658103nteger ).

tff(func_def_906,type,
    divide5121882707175180666atural: ( code_natural * code_natural ) > code_natural ).

tff(func_def_907,type,
    divide_divide_int: fun_int_fun_int_int ).

tff(func_def_908,type,
    divide_divide_nat: fun_nat_fun_nat_nat ).

tff(func_def_909,type,
    divide_divide_rat: ( rat * rat ) > rat ).

tff(func_def_910,type,
    dvd_dvd_Code_integer: fun_Co2081214437782444048eger_o ).

tff(func_def_911,type,
    dvd_dvd_int: fun_int_fun_int_o ).

tff(func_def_912,type,
    dvd_dvd_nat: fun_nat_fun_nat_o ).

tff(func_def_913,type,
    modulo364778990260209775nteger: code_integer > fun_Co8499238673658658103nteger ).

tff(func_def_914,type,
    modulo8411746178871703098atural: ( code_natural * code_natural ) > code_natural ).

tff(func_def_915,type,
    modulo_modulo_int: fun_int_fun_int_int ).

tff(func_def_916,type,
    modulo_modulo_nat: fun_nat_fun_nat_nat ).

tff(func_def_917,type,
    zero_n2684676970156552555ol_int: $o > int ).

tff(func_def_918,type,
    zero_n2687167440665602831ol_nat: $o > nat ).

tff(func_def_919,type,
    collect_o: fun_o_o > set_o ).

tff(func_def_920,type,
    collect_int: fun_int_o > set_int ).

tff(func_def_921,type,
    collect_nat: fun_nat_o > set_nat ).

tff(func_def_922,type,
    collec3392354462482085612at_nat: fun_Pr4796943543331071514_nat_o > set_Pr1261947904930325089at_nat ).

tff(func_def_923,type,
    collec6321179662152712658at_nat: fun_Pr3059359313727237556_nat_o > set_Pr4329608150637261639at_nat ).

tff(func_def_924,type,
    collec6407654713642994138_nat_o: fun_fu5135969500543783852at_o_o > set_fu3555266933746557007_nat_o ).

tff(func_def_925,type,
    image_4470545334726330049nteger: ( fun_Co8499238673658658103nteger * set_Code_integer ) > set_Code_integer ).

tff(func_def_926,type,
    image_1215581382706833972nteger: ( fun_nat_Code_integer * set_nat ) > set_Code_integer ).

tff(func_def_927,type,
    image_nat_nat: ( fun_nat_nat * set_nat ) > set_nat ).

tff(func_def_928,type,
    image_nat_set_nat: ( fun_nat_set_nat * set_nat ) > set_set_nat ).

tff(func_def_929,type,
    insert_o2: ( $o * set_o ) > set_o ).

tff(func_def_930,type,
    insert_int2: ( int * set_int ) > set_int ).

tff(func_def_931,type,
    insert_nat2: ( nat * set_nat ) > set_nat ).

tff(func_def_932,type,
    insert6201435330877294327od_o_o: ( product_prod_o_o * set_Product_prod_o_o ) > set_Product_prod_o_o ).

tff(func_def_933,type,
    insert5290817439147925377n_assn: ( produc6575502325842934193n_assn * set_Pr5949110396991348497n_assn ) > set_Pr5949110396991348497n_assn ).

tff(func_def_934,type,
    insert5033312907999012233nt_int: ( product_prod_int_int * set_Pr958786334691620121nt_int ) > set_Pr958786334691620121nt_int ).

tff(func_def_935,type,
    insert8211810215607154385at_nat: ( product_prod_nat_nat * set_Pr1261947904930325089at_nat ) > set_Pr1261947904930325089at_nat ).

tff(func_def_936,type,
    insert5050368324300391991at_nat: ( produc859450856879609959at_nat * set_Pr8693737435421807431at_nat ) > set_Pr8693737435421807431at_nat ).

tff(func_def_937,type,
    insert398606708087465655at_nat: ( produc1906917888121415911at_nat * set_Pr5564308138774400199at_nat ) > set_Pr5564308138774400199at_nat ).

tff(func_def_938,type,
    insert9069300056098147895at_nat: ( produc3843707927480180839at_nat * set_Pr4329608150637261639at_nat ) > set_Pr4329608150637261639at_nat ).

tff(func_def_939,type,
    insert9200635055090092081at_nat: ( set_Pr1261947904930325089at_nat * set_se7855581050983116737at_nat ) > set_se7855581050983116737at_nat ).

tff(func_def_940,type,
    insert4923026906511862463_nat_o: ( fun_Pr6460944699146269935_nat_o * set_fu3555266933746557007_nat_o ) > set_fu3555266933746557007_nat_o ).

tff(func_def_941,type,
    insert_c: ( c * set_c ) > set_c ).

tff(func_def_942,type,
    insert_d: ( d * set_d ) > set_d ).

tff(func_def_943,type,
    is_emp1662574758705540307at_nat: fun_se4782206882984618170_nat_o ).

tff(func_def_944,type,
    is_sin2850979758926227957at_nat: fun_se4782206882984618170_nat_o ).

tff(func_def_945,type,
    pairwi6357175311820755948at_nat: fun_Pr2028404973800837934_nat_o > fun_se4782206882984618170_nat_o ).

tff(func_def_946,type,
    remove_o: ( $o * set_o ) > set_o ).

tff(func_def_947,type,
    remove_int: ( int * set_int ) > set_int ).

tff(func_def_948,type,
    remove_nat: ( nat * set_nat ) > set_nat ).

tff(func_def_949,type,
    remove6142905432236673558n_assn: ( produc6575502325842934193n_assn * set_Pr5949110396991348497n_assn ) > set_Pr5949110396991348497n_assn ).

tff(func_def_950,type,
    remove6466555014256735590at_nat: ( product_prod_nat_nat * set_Pr1261947904930325089at_nat ) > set_Pr1261947904930325089at_nat ).

tff(func_def_951,type,
    remove5300788332298244428at_nat: ( produc3843707927480180839at_nat * set_Pr4329608150637261639at_nat ) > set_Pr4329608150637261639at_nat ).

tff(func_def_952,type,
    remove8193825956935957076_nat_o: ( fun_Pr6460944699146269935_nat_o * set_fu3555266933746557007_nat_o ) > set_fu3555266933746557007_nat_o ).

tff(func_def_953,type,
    the_elem_int: set_int > int ).

tff(func_def_954,type,
    the_elem_nat: set_nat > nat ).

tff(func_def_955,type,
    the_el2281957884133575798at_nat: set_Pr1261947904930325089at_nat > product_prod_nat_nat ).

tff(func_def_956,type,
    the_el221668144340439132at_nat: set_Pr4329608150637261639at_nat > produc3843707927480180839at_nat ).

tff(func_def_957,type,
    vimage_nat_nat: ( fun_nat_nat * set_nat ) > set_nat ).

tff(func_def_958,type,
    set_fo2584398358068434914at_nat: ( fun_nat_fun_nat_nat * nat ) > fun_nat_fun_nat_nat ).

tff(func_def_959,type,
    set_or189985376899183464nteger: ( code_integer * code_integer ) > set_Code_integer ).

tff(func_def_960,type,
    set_or1266510415728281911st_int: ( int * int ) > set_int ).

tff(func_def_961,type,
    set_or1269000886237332187st_nat: ( nat * nat ) > set_nat ).

tff(func_def_962,type,
    set_or8404916559141939852nteger: ( code_integer * code_integer ) > set_Code_integer ).

tff(func_def_963,type,
    set_or4662586982721622107an_int: ( int * int ) > set_int ).

tff(func_def_964,type,
    set_or4665077453230672383an_nat: ( nat * nat ) > set_nat ).

tff(func_def_965,type,
    set_ord_atLeast_nat: nat > set_nat ).

tff(func_def_966,type,
    set_ord_atMost_nat: fun_nat_set_nat ).

tff(func_def_967,type,
    set_or2715278749043346189nteger: ( code_integer * code_integer ) > set_Code_integer ).

tff(func_def_968,type,
    set_or6656581121297822940st_int: ( int * int ) > set_int ).

tff(func_def_969,type,
    set_or6659071591806873216st_nat: ( nat * nat ) > set_nat ).

tff(func_def_970,type,
    set_or4266950643985792945nteger: ( code_integer * code_integer ) > set_Code_integer ).

tff(func_def_971,type,
    set_or5832277885323065728an_int: ( int * int ) > set_int ).

tff(func_def_972,type,
    set_or5834768355832116004an_nat: ( nat * nat ) > set_nat ).

tff(func_def_973,type,
    set_or1210151606488870762an_nat: fun_nat_set_nat ).

tff(func_def_974,type,
    set_ord_lessThan_nat: fun_nat_set_nat ).

tff(func_def_975,type,
    syntax7398250324933576852n_assn: assn > fun_assn_o ).

tff(func_def_976,type,
    transi2905341329935302413cl_nat: set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat ).

tff(func_def_977,type,
    transi6261509568448316235cl_int: set_Pr958786334691620121nt_int > set_Pr958786334691620121nt_int ).

tff(func_def_978,type,
    transi6264000038957366511cl_nat: set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat ).

tff(func_def_979,type,
    transi322039341523833934nt_int: set_Pr3703873761940759199nt_int > set_Pr3703873761940759199nt_int ).

tff(func_def_980,type,
    transi6542867716313705397nteger: set_Pr6949033248718891245nteger > set_Pr6949033248718891245nteger ).

tff(func_def_981,type,
    transi7952567189410240703et_nat: set_Pr9066344408807579265et_nat > set_Pr9066344408807579265et_nat ).

tff(func_def_982,type,
    transi2167408805420631517et_nat: set_Pr7057080801110549565et_nat > set_Pr7057080801110549565et_nat ).

tff(func_def_983,type,
    transi220276523934398754nt_int: set_Pr3767905878465553991nt_int > set_Pr3767905878465553991nt_int ).

tff(func_def_984,type,
    transi2703068831062848130at_nat: set_Pr4329608150637261639at_nat > set_Pr4329608150637261639at_nat ).

tff(func_def_985,type,
    transitive_trancl_c: set_Product_prod_c_c > set_Product_prod_c_c ).

tff(func_def_986,type,
    transitive_trancl_d: set_Product_prod_d_d > set_Product_prod_d_d ).

tff(func_def_987,type,
    transi2163837189807498211lp_nat: fun_nat_fun_nat_o > fun_nat_fun_nat_o ).

tff(func_def_988,type,
    vEBT_L8888932350013902202nt_int: ( set_nat * fun_int_fun_int_assn * list_int * list_int ) > assn ).

tff(func_def_989,type,
    vEBT_L8891422820522952478nt_nat: ( set_nat * fun_int_fun_nat_assn * list_int * list_nat ) > assn ).

tff(func_def_990,type,
    vEBT_L7889578638112847646at_int: ( set_nat * fun_nat_fun_int_assn * list_nat * list_int ) > assn ).

tff(func_def_991,type,
    vEBT_L7892069108621897922at_nat: ( set_nat * fun_nat_fun_nat_assn * list_nat * list_nat ) > assn ).

tff(func_def_992,type,
    vEBT_L8146214880390291086_nat_c: ( set_nat * fun_nat_fun_c_assn * list_nat * list_c ) > assn ).

tff(func_def_993,type,
    vEBT_L8146214880390291087_nat_d: ( set_nat * fun_nat_fun_d_assn * list_nat * list_d ) > assn ).

tff(func_def_994,type,
    vEBT_L6582681566615743372_c_int: ( set_nat * fun_c_fun_int_assn * list_c * list_int ) > assn ).

tff(func_def_995,type,
    vEBT_L6585172037124793648_c_nat: ( set_nat * fun_c_fun_nat_assn * list_c * list_nat ) > assn ).

tff(func_def_996,type,
    vEBT_L824818263033719200sn_c_c: ( set_nat * fun_c_fun_c_assn * list_c * list_c ) > assn ).

tff(func_def_997,type,
    vEBT_L824818263033719201sn_c_d: ( set_nat * fun_c_fun_d_assn * list_c * list_d ) > assn ).

tff(func_def_998,type,
    vEBT_L7818125895572137869_d_int: ( set_nat * fun_d_fun_int_assn * list_d * list_int ) > assn ).

tff(func_def_999,type,
    vEBT_L7820616366081188145_d_nat: ( set_nat * fun_d_fun_nat_assn * list_d * list_nat ) > assn ).

tff(func_def_1000,type,
    vEBT_L7260734717915818975sn_d_c: ( set_nat * fun_d_fun_c_assn * list_d * list_c ) > assn ).

tff(func_def_1001,type,
    vEBT_L7260734717915818976sn_d_d: ( set_nat * fun_d_fun_d_assn * list_d * list_d ) > assn ).

tff(func_def_1002,type,
    vEBT_L74593716426352029nt_int: ( fun_int_fun_int_assn * list_int * list_int ) > assn ).

tff(func_def_1003,type,
    vEBT_L77084186935402305nt_nat: ( fun_int_fun_nat_assn * list_int * list_nat ) > assn ).

tff(func_def_1004,type,
    vEBT_L1620274777744359680n_assn: ( fun_in2917358019923704601n_assn * list_int * list_P8527749157015355191n_assn ) > assn ).

tff(func_def_1005,type,
    vEBT_L3472024597287490640at_nat: ( fun_in6852455514944667241t_assn * list_int * list_P6011104703257516679at_nat ) > assn ).

tff(func_def_1006,type,
    vEBT_L8298612041380073281at_int: ( fun_nat_fun_int_assn * list_nat * list_int ) > assn ).

tff(func_def_1007,type,
    vEBT_L8301102511889123557at_nat: ( fun_nat_fun_nat_assn * list_nat * list_nat ) > assn ).

tff(func_def_1008,type,
    vEBT_L9083610150846024284n_assn: ( fun_na2667955736958379125n_assn * list_nat * list_P8527749157015355191n_assn ) > assn ).

tff(func_def_1009,type,
    vEBT_L434182512823356844at_nat: ( fun_na5930564906747369413t_assn * list_nat * list_P6011104703257516679at_nat ) > assn ).

tff(func_def_1010,type,
    vEBT_L6400351906427472171_nat_c: ( fun_nat_fun_c_assn * list_nat * list_c ) > assn ).

tff(func_def_1011,type,
    vEBT_L6400351906427472172_nat_d: ( fun_nat_fun_d_assn * list_nat * list_d ) > assn ).

tff(func_def_1012,type,
    vEBT_L4760345170377931482sn_int: ( fun_Pr7092578583803811605t_assn * list_P8527749157015355191n_assn * list_int ) > assn ).

tff(func_def_1013,type,
    vEBT_L4762835640886981758sn_nat: ( fun_Pr2676784290456659641t_assn * list_P8527749157015355191n_assn * list_nat ) > assn ).

tff(func_def_1014,type,
    vEBT_L3108143461992071043n_assn: ( fun_Pr1914754426620969278n_assn * list_P8527749157015355191n_assn * list_P8527749157015355191n_assn ) > assn ).

tff(func_def_1015,type,
    vEBT_L6295016686126367274at_int: ( fun_Pr1050453709768890981t_assn * list_P6011104703257516679at_nat * list_int ) > assn ).

tff(func_def_1016,type,
    vEBT_L6297507156635417550at_nat: ( fun_Pr5858031453276514825t_assn * list_P6011104703257516679at_nat * list_nat ) > assn ).

tff(func_def_1017,type,
    vEBT_L4836818592652924457_c_int: ( fun_c_fun_int_assn * list_c * list_int ) > assn ).

tff(func_def_1018,type,
    vEBT_L4839309063161974733_c_nat: ( fun_c_fun_nat_assn * list_c * list_nat ) > assn ).

tff(func_def_1019,type,
    vEBT_L7968352277243653187sn_c_c: ( fun_c_fun_c_assn * list_c * list_c ) > assn ).

tff(func_def_1020,type,
    vEBT_L7968352277243653188sn_c_d: ( fun_c_fun_d_assn * list_c * list_d ) > assn ).

tff(func_def_1021,type,
    vEBT_L6072262921609318954_d_int: ( fun_d_fun_int_assn * list_d * list_int ) > assn ).

tff(func_def_1022,type,
    vEBT_L6074753392118369230_d_nat: ( fun_d_fun_nat_assn * list_d * list_nat ) > assn ).

tff(func_def_1023,type,
    vEBT_L5180896695270977154sn_d_c: ( fun_d_fun_c_assn * list_d * list_c ) > assn ).

tff(func_def_1024,type,
    vEBT_L5180896695270977155sn_d_d: ( fun_d_fun_d_assn * list_d * list_d ) > assn ).

tff(func_def_1025,type,
    accp_list_nat: fun_li1025265955262268170_nat_o > fun_list_nat_o ).

tff(func_def_1026,type,
    accp_P4275260045618599050at_nat: fun_Pr2028404973800837934_nat_o > fun_Pr4796943543331071514_nat_o ).

tff(func_def_1027,type,
    accp_P1394777952347926645et_nat: fun_Pr3358449090565925198_nat_o > fun_Pr1227177680593602867_nat_o ).

tff(func_def_1028,type,
    less_than: set_Pr1261947904930325089at_nat ).

tff(func_def_1029,type,
    max_ex8135407076693332796at_nat: set_Pr8693737435421807431at_nat > set_Pr4329608150637261639at_nat ).

tff(func_def_1030,type,
    min_ex6901939911449802026at_nat: set_Pr8693737435421807431at_nat > set_Pr4329608150637261639at_nat ).

tff(func_def_1031,type,
    pred_nat: set_Pr1261947904930325089at_nat ).

tff(func_def_1032,type,
    wf_nat: fun_se4782206882984618170_nat_o ).

tff(func_def_1033,type,
    aa_o_fun_o_o: ( fun_o_fun_o_o * $o ) > fun_o_o ).

tff(func_def_1034,type,
    aa_assn_assn: ( fun_assn_assn * assn ) > assn ).

tff(func_def_1035,type,
    aa_assn_Code_integer: ( fun_as9138348466139350018nteger * assn ) > code_integer ).

tff(func_def_1036,type,
    aa_assn_filter_nat: ( fun_assn_filter_nat * assn ) > filter_nat ).

tff(func_def_1037,type,
    aa_assn_int: ( fun_assn_int * assn ) > int ).

tff(func_def_1038,type,
    aa_assn_nat: ( fun_assn_nat * assn ) > nat ).

tff(func_def_1039,type,
    aa_assn_num: ( fun_assn_num * assn ) > num ).

tff(func_def_1040,type,
    aa_assn_fun_assn_o: ( fun_assn_fun_assn_o * assn ) > fun_assn_o ).

tff(func_def_1041,type,
    aa_ass954072293579886259n_assn: ( fun_as3983628580203722482n_assn * assn ) > fun_assn_assn ).

tff(func_def_1042,type,
    aa_ass4243947775541419017_nat_o: ( fun_as3747249873083764768_nat_o * assn ) > fun_Pr6460944699146269935_nat_o ).

tff(func_def_1043,type,
    aa_Code_integer_assn: ( fun_Co4490034186337852034r_assn * code_integer ) > assn ).

tff(func_def_1044,type,
    aa_Cod1783974652533396728nteger: ( fun_Co8499238673658658103nteger * code_integer ) > code_integer ).

tff(func_def_1045,type,
    aa_Code_integer_int: ( fun_Code_integer_int * code_integer ) > int ).

tff(func_def_1046,type,
    aa_Code_integer_nat: ( fun_Code_integer_nat * code_integer ) > nat ).

tff(func_def_1047,type,
    aa_Code_integer_num: ( fun_Code_integer_num * code_integer ) > num ).

tff(func_def_1048,type,
    aa_Cod3168588076859124107eger_o: ( fun_Co1766037875893669450eger_o * code_integer ) > produc6271795597528267376eger_o ).

tff(func_def_1049,type,
    aa_Cod6977894654539884864nteger: ( fun_Co6597186368970283863nteger * code_integer ) > produc8923325533196201883nteger ).

tff(func_def_1050,type,
    aa_Cod326357343816142457eger_o: ( fun_Co2081214437782444048eger_o * code_integer ) > fun_Code_integer_o ).

tff(func_def_1051,type,
    aa_Cod4161879620478718930nteger: ( fun_Co1981900195452921617nteger * code_integer ) > fun_Co8499238673658658103nteger ).

tff(func_def_1052,type,
    aa_Cod1096751537565085541eger_o: ( fun_Co3544761417380347684eger_o * code_integer ) > fun_Co1766037875893669450eger_o ).

tff(func_def_1053,type,
    aa_Cod8380929501330563836nteger: ( fun_Co2470855966376689427nteger * code_integer ) > fun_Co6597186368970283863nteger ).

tff(func_def_1054,type,
    aa_Cod6808739660676082561atural: ( fun_Co5709460363461100952atural * code_natural ) > produc6756470014200349799atural ).

tff(func_def_1055,type,
    aa_Cod4292056611156568242atural: ( fun_Co1890133979025130057atural * code_natural ) > fun_Co5709460363461100952atural ).

tff(func_def_1056,type,
    aa_Cod8811915439870959971atural: ( fun_Co9168753396221475450atural * code_natural ) > fun_Co1890133979025130057atural ).

tff(func_def_1057,type,
    aa_Cod6352003912080677724atural: ( fun_Co1105491363547889651atural * code_natural ) > fun_Pr7769407664385210434atural ).

tff(func_def_1058,type,
    aa_filter_nat_assn: ( fun_filter_nat_assn * filter_nat ) > assn ).

tff(func_def_1059,type,
    aa_fil4124504356706564990er_nat: ( fun_fi2406938933853765693er_nat * filter_nat ) > filter_nat ).

tff(func_def_1060,type,
    aa_fil1282661720248192731er_nat: ( fun_fi7557781610047541018er_nat * filter_nat ) > fun_fi2406938933853765693er_nat ).

tff(func_def_1061,type,
    aa_hea684056619475940329it_nat: ( fun_he5234484606919320760it_nat * heap_e7401611519738050253t_unit ) > option8956607266484857688it_nat ).

tff(func_def_1062,type,
    aa_hea9023553427033036112_nat_o: ( fun_he4135464443191253079_nat_o * heap_e7401611519738050253t_unit ) > fun_nat_o ).

tff(func_def_1063,type,
    aa_int_assn: ( fun_int_assn * int ) > assn ).

tff(func_def_1064,type,
    aa_int_Code_integer: ( fun_int_Code_integer * int ) > code_integer ).

tff(func_def_1065,type,
    aa_int_int: ( fun_int_int * int ) > int ).

tff(func_def_1066,type,
    aa_int_nat: ( fun_int_nat * int ) > nat ).

tff(func_def_1067,type,
    aa_int_num: ( fun_int_num * int ) > num ).

tff(func_def_1068,type,
    aa_int4912925366867985095n_assn: ( fun_in6898239422062238174n_assn * int ) > produc6575502325842934193n_assn ).

tff(func_def_1069,type,
    aa_int7462565939943104719nt_int: ( fun_in4211310926729683942nt_int * int ) > product_prod_int_int ).

tff(func_def_1070,type,
    aa_int1417691210696471063at_nat: ( fun_in4514472496968388910at_nat * int ) > product_prod_nat_nat ).

tff(func_def_1071,type,
    aa_int4739195317257975621_c_int: ( fun_in256637979557346436_c_int * int ) > product_prod_c_int ).

tff(func_def_1072,type,
    aa_int5974639646214370118_d_int: ( fun_in5852856594745477125_d_int * int ) > product_prod_d_int ).

tff(func_def_1073,type,
    aa_int_rat: ( fun_int_rat * int ) > rat ).

tff(func_def_1074,type,
    aa_int_fun_int_o: ( fun_int_fun_int_o * int ) > fun_int_o ).

tff(func_def_1075,type,
    aa_int_fun_int_assn: ( fun_int_fun_int_assn * int ) > fun_int_assn ).

tff(func_def_1076,type,
    aa_int_fun_int_int: ( fun_int_fun_int_int * int ) > fun_int_int ).

tff(func_def_1077,type,
    aa_int_fun_int_nat: ( fun_int_fun_int_nat * int ) > fun_int_nat ).

tff(func_def_1078,type,
    aa_int4455557282903564020n_assn: ( fun_in4433485590553487243n_assn * int ) > fun_in6898239422062238174n_assn ).

tff(func_def_1079,type,
    aa_int2565445551602696444nt_int: ( fun_in1696471567231710611nt_int * int ) > fun_in4211310926729683942nt_int ).

tff(func_def_1080,type,
    aa_int_fun_int_rat: ( fun_int_fun_int_rat * int ) > fun_int_rat ).

tff(func_def_1081,type,
    aa_int1966403025003302569nt_int: ( fun_in2204242111582549184nt_int * int ) > fun_in1696471567231710611nt_int ).

tff(func_def_1082,type,
    aa_int_fun_nat_o: ( fun_int_fun_nat_o * int ) > fun_nat_o ).

tff(func_def_1083,type,
    aa_int_fun_nat_assn: ( fun_int_fun_nat_assn * int ) > fun_nat_assn ).

tff(func_def_1084,type,
    aa_int_fun_nat_int: ( fun_int_fun_nat_int * int ) > fun_nat_int ).

tff(func_def_1085,type,
    aa_int_fun_nat_nat: ( fun_int_fun_nat_nat * int ) > fun_nat_nat ).

tff(func_def_1086,type,
    aa_int2695520619150452816n_assn: ( fun_in1425933616158802663n_assn * int ) > fun_na5138202758309126970n_assn ).

tff(func_def_1087,type,
    aa_int6564194663981188820assn_o: ( fun_in7130107137290581651assn_o * int ) > fun_Pr3571187171380813162assn_o ).

tff(func_def_1088,type,
    aa_int4086841622967611778n_assn: ( fun_in2917358019923704601n_assn * int ) > fun_Pr3816910165196019820n_assn ).

tff(func_def_1089,type,
    aa_int7018050035326381266t_assn: ( fun_in6852455514944667241t_assn * int ) > fun_Pr6640091470896217020t_assn ).

tff(func_def_1090,type,
    aa_lis7773489400162621755_int_o: ( fun_li1334793589135804498_int_o * list_int ) > fun_list_int_o ).

tff(func_def_1091,type,
    aa_lis795262330978291863_nat_o: ( fun_li1262843096912843182_nat_o * list_int ) > fun_list_nat_o ).

tff(func_def_1092,type,
    aa_lis2194652677338155742assn_o: ( fun_li6324434278616229789assn_o * list_int ) > fun_li2812663585457640420assn_o ).

tff(func_def_1093,type,
    aa_lis3680598559497030991st_c_o: ( fun_li7349954004964936590st_c_o * list_int ) > fun_list_c_o ).

tff(func_def_1094,type,
    aa_lis8814715138444913900_int_o: ( fun_li2382128992487955115_int_o * list_int ) > fun_li6253719710249146866_int_o ).

tff(func_def_1095,type,
    aa_lis8742764646221952584_nat_o: ( fun_li3247565534195299847_nat_o * list_int ) > fun_li6181769218026185550_nat_o ).

tff(func_def_1096,type,
    aa_lis709865565465188724st_c_o: ( fun_li7189502989251348491st_c_o * list_int ) > fun_li1090557267467854318st_c_o ).

tff(func_def_1097,type,
    aa_lis74216564860202035st_d_o: ( fun_li616801382895168330st_d_o * list_int ) > fun_li454908266862867629st_d_o ).

tff(func_def_1098,type,
    aa_lis893142977524354958st_d_o: ( fun_li6714305004359949901st_d_o * list_int ) > fun_list_d_o ).

tff(func_def_1099,type,
    aa_lis2971584846925966965st_c_o: ( fun_li8441265137965477004st_c_o * list_int ) > fun_li3352276548928632559st_c_o ).

tff(func_def_1100,type,
    aa_lis2335935846320980276st_d_o: ( fun_li1868563531609296843st_d_o * list_int ) > fun_li2716627548323645870st_d_o ).

tff(func_def_1101,type,
    aa_lis7535912258512046743_int_o: ( fun_li1097216447485229486_int_o * list_nat ) > fun_list_int_o ).

tff(func_def_1102,type,
    aa_lis2666369435012445748_int_o: ( fun_li3597902321612929227_int_o * list_nat ) > fun_li1334793589135804498_int_o ).

tff(func_def_1103,type,
    aa_lis2594418942789484432_nat_o: ( fun_li4463338863320273959_nat_o * list_nat ) > fun_li1262843096912843182_nat_o ).

tff(func_def_1104,type,
    aa_lis8925928355310834220st_c_o: ( fun_li5605408072535077355st_c_o * list_nat ) > fun_li7349954004964936590st_c_o ).

tff(func_def_1105,type,
    aa_lis4942862362681722441_int_o: ( fun_li2340758296164881800_int_o * list_nat ) > fun_li2382128992487955115_int_o ).

tff(func_def_1106,type,
    aa_lis5808298904389067173_nat_o: ( fun_li1100771141684871908_nat_o * list_nat ) > fun_li3247565534195299847_nat_o ).

tff(func_def_1107,type,
    aa_lis3165061115604977645st_c_o: ( fun_li2583195060982614532st_c_o * list_nat ) > fun_li7189502989251348491st_c_o ).

tff(func_def_1108,type,
    aa_lis5815731546103573292st_d_o: ( fun_li2130474401912454595st_d_o * list_nat ) > fun_li616801382895168330st_d_o ).

tff(func_def_1109,type,
    aa_lis8290279354705847531st_d_o: ( fun_li8256078503033673002st_d_o * list_nat ) > fun_li6714305004359949901st_d_o ).

tff(func_def_1110,type,
    aa_lis4416823264319106158st_c_o: ( fun_li8703043015121305093st_c_o * list_nat ) > fun_li8441265137965477004st_c_o ).

tff(func_def_1111,type,
    aa_lis7067493694817701805st_d_o: ( fun_li8250322356051145156st_d_o * list_nat ) > fun_li1868563531609296843st_d_o ).

tff(func_def_1112,type,
    aa_lis557685189327716851_nat_o: ( fun_li1025265955262268170_nat_o * list_nat ) > fun_list_nat_o ).

tff(func_def_1113,type,
    aa_lis3666709670570901933_int_o: ( fun_li197242686306560452_int_o * list_nat ) > fun_li3597902321612929227_int_o ).

tff(func_def_1114,type,
    aa_lis4532146212278246665_nat_o: ( fun_li8180627568681326368_nat_o * list_nat ) > fun_li4463338863320273959_nat_o ).

tff(func_def_1115,type,
    aa_lis8166141442728844681st_c_o: ( fun_li6977522988354981064st_c_o * list_nat ) > fun_li5605408072535077355st_c_o ).

tff(func_def_1116,type,
    aa_lis1593439836372664520st_d_o: ( fun_li6524802329284821127st_d_o * list_nat ) > fun_li8256078503033673002st_d_o ).

tff(func_def_1117,type,
    aa_lis6790666403130992258assn_o: ( fun_li1697075967554290497assn_o * list_nat ) > fun_li2812663585457640420assn_o ).

tff(func_def_1118,type,
    aa_lis667291643828566771st_c_o: ( fun_li4336647089296472370st_c_o * list_nat ) > fun_list_c_o ).

tff(func_def_1119,type,
    aa_lis7103208098710666546st_d_o: ( fun_li3700998088691485681st_d_o * list_nat ) > fun_list_d_o ).

tff(func_def_1120,type,
    aa_lis4145795176574077946_int_o: ( fun_li3476655817902384897_int_o * list_P8527749157015355191n_assn ) > fun_list_int_o ).

tff(func_def_1121,type,
    aa_lis6390940144244523862_nat_o: ( fun_li3404705325679423581_nat_o * list_P8527749157015355191n_assn ) > fun_list_nat_o ).

tff(func_def_1122,type,
    aa_lis8888397383097485663assn_o: ( fun_li7722483182022397486assn_o * list_P8527749157015355191n_assn ) > fun_li2812663585457640420assn_o ).

tff(func_def_1123,type,
    aa_lis7623135542156706539_int_o: ( fun_li6253719710249146866_int_o * list_c ) > fun_list_int_o ).

tff(func_def_1124,type,
    aa_lis644908472972376647_nat_o: ( fun_li6181769218026185550_nat_o * list_c ) > fun_list_nat_o ).

tff(func_def_1125,type,
    aa_lis5412211457383900796st_c_o: ( fun_li4231396910588182603st_c_o * list_c ) > fun_li4336647089296472370st_c_o ).

tff(func_def_1126,type,
    aa_lis4776562456778914107st_d_o: ( fun_li6882067341086778250st_d_o * list_c ) > fun_li3700998088691485681st_d_o ).

tff(func_def_1127,type,
    aa_lis3911582009604108191st_c_o: ( fun_li1090557267467854318st_c_o * list_c ) > fun_list_c_o ).

tff(func_def_1128,type,
    aa_lis7329284078336575292_int_o: ( fun_li918430614211379467_int_o * list_c ) > fun_li6253719710249146866_int_o ).

tff(func_def_1129,type,
    aa_lis7257333586113613976_nat_o: ( fun_li1783867155918724199_nat_o * list_c ) > fun_li6181769218026185550_nat_o ).

tff(func_def_1130,type,
    aa_lis391537625309279012st_c_o: ( fun_li7366884663000955307st_c_o * list_c ) > fun_li1090557267467854318st_c_o ).

tff(func_def_1131,type,
    aa_lis8979260661559068131st_d_o: ( fun_li794183056644775146st_d_o * list_c ) > fun_li454908266862867629st_d_o ).

tff(func_def_1132,type,
    aa_lis1124126427631432158st_d_o: ( fun_li454908266862867629st_d_o * list_c ) > fun_list_d_o ).

tff(func_def_1133,type,
    aa_lis4320502623669380091_int_o: ( fun_li4773525271981633098_int_o * list_c ) > fun_li3244938255581951665_int_o ).

tff(func_def_1134,type,
    aa_lis4248552131446418775_nat_o: ( fun_li5638961813688977830_nat_o * list_c ) > fun_li3172987763358990349_nat_o ).

tff(func_def_1135,type,
    aa_lis2653256906770057253st_c_o: ( fun_li8618646811715083820st_c_o * list_c ) > fun_li3352276548928632559st_c_o ).

tff(func_def_1136,type,
    aa_lis2017607906165070564st_d_o: ( fun_li2045945205358903659st_d_o * list_c ) > fun_li2716627548323645870st_d_o ).

tff(func_def_1137,type,
    aa_lis4614354087489511338_int_o: ( fun_li3244938255581951665_int_o * list_d ) > fun_list_int_o ).

tff(func_def_1138,type,
    aa_lis6859499055159957254_nat_o: ( fun_li3172987763358990349_nat_o * list_d ) > fun_list_nat_o ).

tff(func_def_1139,type,
    aa_lis6173301291064886432st_c_o: ( fun_li3352276548928632559st_c_o * list_d ) > fun_list_c_o ).

tff(func_def_1140,type,
    aa_lis3385845709092210399st_d_o: ( fun_li2716627548323645870st_d_o * list_d ) > fun_list_d_o ).

tff(func_def_1141,type,
    aa_nat_assn: ( fun_nat_assn * nat ) > assn ).

tff(func_def_1142,type,
    aa_nat_Code_integer: ( fun_nat_Code_integer * nat ) > code_integer ).

tff(func_def_1143,type,
    aa_nat_int: ( fun_nat_int * nat ) > int ).

tff(func_def_1144,type,
    aa_nat_nat: ( fun_nat_nat * nat ) > nat ).

tff(func_def_1145,type,
    aa_nat_num: ( fun_nat_num * nat ) > num ).

tff(func_def_1146,type,
    aa_nat3152888703114873891n_assn: ( fun_na5138202758309126970n_assn * nat ) > produc6575502325842934193n_assn ).

tff(func_def_1147,type,
    aa_nat7603221163087113075at_nat: ( fun_na1476630412504255114at_nat * nat ) > product_prod_nat_nat ).

tff(func_def_1148,type,
    aa_nat2369501448413299853_c_nat: ( fun_na5422548272989976524_c_nat * nat ) > product_prod_c_nat ).

tff(func_def_1149,type,
    aa_nat3604945777369694350_d_nat: ( fun_na1795394851323331405_d_nat * nat ) > product_prod_d_nat ).

tff(func_def_1150,type,
    aa_nat_set_nat: ( fun_nat_set_nat * nat ) > set_nat ).

tff(func_def_1151,type,
    aa_nat_fun_int_o: ( fun_nat_fun_int_o * nat ) > fun_int_o ).

tff(func_def_1152,type,
    aa_nat_fun_int_assn: ( fun_nat_fun_int_assn * nat ) > fun_int_assn ).

tff(func_def_1153,type,
    aa_nat_fun_int_int: ( fun_nat_fun_int_int * nat ) > fun_int_int ).

tff(func_def_1154,type,
    aa_nat_fun_int_nat: ( fun_nat_fun_int_nat * nat ) > fun_int_nat ).

tff(func_def_1155,type,
    aa_nat_fun_nat_o: ( fun_nat_fun_nat_o * nat ) > fun_nat_o ).

tff(func_def_1156,type,
    aa_nat_fun_nat_assn: ( fun_nat_fun_nat_assn * nat ) > fun_nat_assn ).

tff(func_def_1157,type,
    aa_nat_fun_nat_int: ( fun_nat_fun_nat_int * nat ) > fun_nat_int ).

tff(func_def_1158,type,
    aa_nat_fun_nat_nat: ( fun_nat_fun_nat_nat * nat ) > fun_nat_nat ).

tff(func_def_1159,type,
    aa_nat8803788312118491388at_nat: ( fun_na4138050610385705875at_nat * nat ) > fun_na1476630412504255114at_nat ).

tff(func_def_1160,type,
    aa_nat8314798964848609180_nat_o: ( fun_na7928631014926962227_nat_o * nat ) > fun_nat_fun_nat_o ).

tff(func_def_1161,type,
    aa_nat4158579785191972357at_nat: ( fun_na4143055713577223196at_nat * nat ) > fun_na4138050610385705875at_nat ).

tff(func_def_1162,type,
    aa_nat4259715169212259317_nat_o: ( fun_na5914473681949881652_nat_o * nat ) > fun_na3970208099681795815_nat_o ).

tff(func_def_1163,type,
    aa_nat5682243440470347102at_nat: ( fun_na1668100129766719005at_nat * nat ) > fun_na8713714802964096592at_nat ).

tff(func_def_1164,type,
    aa_nat516171522532136568assn_o: ( fun_na1082083995841529399assn_o * nat ) > fun_Pr3571187171380813162assn_o ).

tff(func_def_1165,type,
    aa_nat3837439340002286302n_assn: ( fun_na2667955736958379125n_assn * nat ) > fun_Pr3816910165196019820n_assn ).

tff(func_def_1166,type,
    aa_nat7695548938202568488_nat_o: ( fun_na3970208099681795815_nat_o * nat ) > fun_Pr4796943543331071514_nat_o ).

tff(func_def_1167,type,
    aa_nat6096159427129083438t_assn: ( fun_na5930564906747369413t_assn * nat ) > fun_Pr6640091470896217020t_assn ).

tff(func_def_1168,type,
    aa_nat7997280740862404369at_nat: ( fun_na8713714802964096592at_nat * nat ) > fun_Pr2118491707810114563at_nat ).

tff(func_def_1169,type,
    aa_nat_fun_c_o: ( fun_nat_fun_c_o * nat ) > fun_c_o ).

tff(func_def_1170,type,
    aa_nat_fun_c_assn: ( fun_nat_fun_c_assn * nat ) > fun_c_assn ).

tff(func_def_1171,type,
    aa_nat1477143957913088426_nat_c: ( fun_na3893605480571770689_nat_c * nat ) > fun_c_5868829843711808568_nat_c ).

tff(func_def_1172,type,
    aa_nat_fun_d_o: ( fun_nat_fun_d_o * nat ) > fun_d_o ).

tff(func_def_1173,type,
    aa_nat_fun_d_assn: ( fun_nat_fun_d_assn * nat ) > fun_d_assn ).

tff(func_def_1174,type,
    aa_nat8655121976823735212_nat_d: ( fun_na5312369548907571267_nat_d * nat ) > fun_d_3823435825767679546_nat_d ).

tff(func_def_1175,type,
    aa_num_assn: ( fun_num_assn * num ) > assn ).

tff(func_def_1176,type,
    aa_num_Code_integer: ( fun_num_Code_integer * num ) > code_integer ).

tff(func_def_1177,type,
    aa_num_num: ( fun_num_num * num ) > num ).

tff(func_def_1178,type,
    aa_num_fun_num_o: ( fun_num_fun_num_o * num ) > fun_num_o ).

tff(func_def_1179,type,
    aa_Pro2979818503705714077n_assn: ( fun_Pr3816910165196019820n_assn * produc6575502325842934193n_assn ) > assn ).

tff(func_def_1180,type,
    aa_Pro5419903954845752976_int_o: ( fun_Pr7575844989570591639_int_o * produc6575502325842934193n_assn ) > fun_int_o ).

tff(func_def_1181,type,
    aa_Pro9204279173661784262t_assn: ( fun_Pr7092578583803811605t_assn * produc6575502325842934193n_assn ) > fun_int_assn ).

tff(func_def_1182,type,
    aa_Pro7240946300278440940_nat_o: ( fun_Pr597617920386261747_nat_o * produc6575502325842934193n_assn ) > fun_nat_o ).

tff(func_def_1183,type,
    aa_Pro8228743708455606890t_assn: ( fun_Pr2676784290456659641t_assn * produc6575502325842934193n_assn ) > fun_nat_assn ).

tff(func_def_1184,type,
    aa_Pro332967637727714143assn_o: ( fun_Pr5295903952624206638assn_o * produc6575502325842934193n_assn ) > fun_Pr3571187171380813162assn_o ).

tff(func_def_1185,type,
    aa_Pro1520987361448537015n_assn: ( fun_Pr1914754426620969278n_assn * produc6575502325842934193n_assn ) > fun_Pr3816910165196019820n_assn ).

tff(func_def_1186,type,
    aa_Pro4693618923521437820nteger: ( fun_Pr5876161306168176259nteger * produc8923325533196201883nteger ) > produc8923325533196201883nteger ).

tff(func_def_1187,type,
    aa_Pro7165575656943818355atural: ( fun_Pr7769407664385210434atural * produc7822875418678951345atural ) > produc5835291356934675326atural ).

tff(func_def_1188,type,
    aa_Pro6970504127699319548nt_int: ( fun_Pr2478283820680522243nt_int * product_prod_int_int ) > product_prod_int_int ).

tff(func_def_1189,type,
    aa_Pro6166618844887768661nt_rat: ( fun_Pr1652463973008025892nt_rat * product_prod_int_int ) > rat ).

tff(func_def_1190,type,
    aa_Pro3952998155787061599_int_o: ( fun_Pr9018117161326028078_int_o * product_prod_int_int ) > fun_Pr3238374608701176162_int_o ).

tff(func_def_1191,type,
    aa_Pro4124234152028750080nt_int: ( fun_Pr1308109350235310159nt_int * product_prod_int_int ) > fun_Pr2478283820680522243nt_int ).

tff(func_def_1192,type,
    aa_Pro2298929076809959388_rat_o: ( fun_Pr7537129237977221859_rat_o * product_prod_int_int ) > fun_rat_o ).

tff(func_def_1193,type,
    aa_Pro525162024677957869t_assn: ( fun_Pr6640091470896217020t_assn * product_prod_nat_nat ) > assn ).

tff(func_def_1194,type,
    aa_Pro4240683299535347697at_int: ( fun_Pr7647638413817135296at_int * product_prod_nat_nat ) > int ).

tff(func_def_1195,type,
    aa_Pro262675715343573244at_nat: ( fun_Pr2118491707810114563at_nat * product_prod_nat_nat ) > product_prod_nat_nat ).

tff(func_def_1196,type,
    aa_Pro2912763917461432128_int_o: ( fun_Pr4738963024209204295_int_o * product_prod_nat_nat ) > fun_int_o ).

tff(func_def_1197,type,
    aa_Pro7338363084393913366t_assn: ( fun_Pr1050453709768890981t_assn * product_prod_nat_nat ) > fun_int_assn ).

tff(func_def_1198,type,
    aa_Pro6362827619187735994t_assn: ( fun_Pr5858031453276514825t_assn * product_prod_nat_nat ) > fun_nat_assn ).

tff(func_def_1199,type,
    aa_Pro989595756709598047_nat_o: ( fun_Pr2028404973800837934_nat_o * product_prod_nat_nat ) > fun_Pr4796943543331071514_nat_o ).

tff(func_def_1200,type,
    aa_Pro8023792847356852296at_nat: ( fun_Pr2477239776880934807at_nat * product_prod_nat_nat ) > fun_Pr2118491707810114563at_nat ).

tff(func_def_1201,type,
    aa_Pro1894297876208389727_nat_o: ( fun_Pr5947183769845927726_nat_o * produc3843707927480180839at_nat ) > fun_Pr3059359313727237556_nat_o ).

tff(func_def_1202,type,
    aa_Product_unit_assn: ( fun_Pr6626665806141890376t_assn * product_unit ) > assn ).

tff(func_def_1203,type,
    aa_rat_rat: ( fun_rat_rat * rat ) > rat ).

tff(func_def_1204,type,
    aa_rat_fun_rat_rat: ( fun_rat_fun_rat_rat * rat ) > fun_rat_rat ).

tff(func_def_1205,type,
    aa_set_o_set_o: ( fun_set_o_set_o * set_o ) > set_o ).

tff(func_def_1206,type,
    aa_set2146880807996572927_set_o: ( fun_se2621318847353125966_set_o * set_o ) > fun_set_o_set_o ).

tff(func_def_1207,type,
    aa_set_int_set_int: ( fun_set_int_set_int * set_int ) > set_int ).

tff(func_def_1208,type,
    aa_set4234024024286713313et_int: ( fun_se6573205548028396576et_int * set_int ) > fun_set_int_set_int ).

tff(func_def_1209,type,
    aa_set_nat_set_nat: ( fun_set_nat_set_nat * set_nat ) > set_nat ).

tff(func_def_1210,type,
    aa_set2309701074089104077et_nat: ( fun_se1909708154429037836et_nat * set_nat ) > fun_set_nat_set_nat ).

tff(func_def_1211,type,
    aa_set4749074711808745205at_nat: ( fun_se4097146774670233028at_nat * set_Pr1261947904930325089at_nat ) > nat ).

tff(func_def_1212,type,
    aa_set8868280134176360700at_nat: ( fun_se320340636488258563at_nat * set_Pr1261947904930325089at_nat ) > set_Pr1261947904930325089at_nat ).

tff(func_def_1213,type,
    aa_set7675215768510388063_nat_o: ( fun_se5639961202347202350_nat_o * set_Pr1261947904930325089at_nat ) > fun_se4782206882984618170_nat_o ).

tff(func_def_1214,type,
    aa_set3608868651603078568at_nat: ( fun_se3560235952666129655at_nat * set_Pr1261947904930325089at_nat ) > fun_se320340636488258563at_nat ).

tff(func_def_1215,type,
    aa_set4883462369968598652at_nat: ( fun_se6846035212209387651at_nat * set_Pr4329608150637261639at_nat ) > set_Pr4329608150637261639at_nat ).

tff(func_def_1216,type,
    aa_set7704514097189807246at_nat: ( fun_se177437144654672861at_nat * set_Pr4329608150637261639at_nat ) > fun_se6846035212209387651at_nat ).

tff(func_def_1217,type,
    aa_fun2509385170507305080nteger: ( fun_fu4800041728187187127nteger * fun_Co8499238673658658103nteger ) > fun_Pr5876161306168176259nteger ).

tff(func_def_1218,type,
    aa_fun586359091965693151_int_o: ( fun_fu2978539155105838238_int_o * fun_in5730379987311621695e_term ) > fun_Pr3238374608701176162_int_o ).

tff(func_def_1219,type,
    aa_fun4505422719058378424eger_o: ( fun_fu7695273699059480439eger_o * fun_Pr5098669352780829690e_term ) > fun_Pr7211993375558241536eger_o ).

tff(func_def_1220,type,
    aa_fun5526454687433275355o_assn: ( fun_fu3790787410453625514o_assn * fun_Pr6460944699146269935_nat_o ) > assn ).

tff(func_def_1221,type,
    aa_fun2638059832795814268_nat_o: ( fun_fu8419763957888848259_nat_o * fun_Pr6460944699146269935_nat_o ) > fun_Pr6460944699146269935_nat_o ).

tff(func_def_1222,type,
    aa_fun912680268133416158_nat_o: ( fun_fu2611741329380808165_nat_o * fun_Pr6460944699146269935_nat_o ) > fun_Pr2620521676128474833_nat_o ).

tff(func_def_1223,type,
    aa_fun3380769697021226975at_o_o: ( fun_fu4164567611050918574at_o_o * fun_Pr6460944699146269935_nat_o ) > fun_fu5135969500543783852at_o_o ).

tff(func_def_1224,type,
    aa_fun7041730090766645614at_rat: ( fun_fu1098312133097393581at_rat * fun_Pr2478283820680522243nt_int ) > fun_rat_rat ).

tff(func_def_1225,type,
    aa_fun3734617511155415725_int_o: ( fun_fu5323616038969315652_int_o * fun_Pr2478283820680522243nt_int ) > fun_fu7503566767892366382_int_o ).

tff(func_def_1226,type,
    aa_fun382765352565706371_rat_o: ( fun_fu4306744791715064858_rat_o * fun_Pr2478283820680522243nt_int ) > fun_fun_rat_rat_o ).

tff(func_def_1227,type,
    aa_fun3538162476766722827_int_o: ( fun_fu6865642474282033866_int_o * fun_Pr7763680713840462443e_term ) > fun_Pr3238374608701176162_int_o ).

tff(func_def_1228,type,
    aa_fun8399641135911395862nt_int: ( fun_fu3064074204415222357nt_int * fun_Pr2118491707810114563at_nat ) > fun_int_int ).

tff(func_def_1229,type,
    aa_fun856177901615811547_int_o: ( fun_fu4638078822479986034_int_o * fun_Pr2118491707810114563at_nat ) > fun_fun_int_int_o ).

tff(func_def_1230,type,
    aa_fun6920661532540581549_nat_o: ( fun_fu3373238862511017284_nat_o * fun_Pr2118491707810114563at_nat ) > fun_fu8391177546919232046_nat_o ).

tff(func_def_1231,type,
    aa_c_assn: ( fun_c_assn * c ) > assn ).

tff(func_def_1232,type,
    aa_c_P1942785857434746857_nat_c: ( fun_c_5868829843711808568_nat_c * c ) > product_prod_nat_c ).

tff(func_def_1233,type,
    aa_c_P7556687028265917539od_c_c: ( fun_c_1824965932179853930od_c_c * c ) > product_prod_c_c ).

tff(func_def_1234,type,
    aa_c_P4769231446293241506od_d_c: ( fun_c_1189316931574867241od_d_c * c ) > product_prod_d_c ).

tff(func_def_1235,type,
    aa_c_fun_int_assn: ( fun_c_fun_int_assn * c ) > fun_int_assn ).

tff(func_def_1236,type,
    aa_c_f8299530501364392392_c_int: ( fun_c_7407439992320401047_c_int * c ) > fun_in256637979557346436_c_int ).

tff(func_def_1237,type,
    aa_c_fun_nat_o: ( fun_c_fun_nat_o * c ) > fun_nat_o ).

tff(func_def_1238,type,
    aa_c_fun_nat_assn: ( fun_c_fun_nat_assn * c ) > fun_nat_assn ).

tff(func_def_1239,type,
    aa_c_f4242068757942246672_c_nat: ( fun_c_1789499241325163999_c_nat * c ) > fun_na5422548272989976524_c_nat ).

tff(func_def_1240,type,
    aa_c_fun_c_o: ( fun_c_fun_c_o * c ) > fun_c_o ).

tff(func_def_1241,type,
    aa_c_fun_c_assn: ( fun_c_fun_c_assn * c ) > fun_c_assn ).

tff(func_def_1242,type,
    aa_c_f8473195554499863982od_c_c: ( fun_c_2859510705545432445od_c_c * c ) > fun_c_1824965932179853930od_c_c ).

tff(func_def_1243,type,
    aa_c_fun_d_assn: ( fun_c_fun_d_assn * c ) > fun_d_assn ).

tff(func_def_1244,type,
    aa_c_f7904789294214393838od_c_d: ( fun_c_8225647604158478269od_c_d * c ) > fun_d_1256559671894383786od_c_d ).

tff(func_def_1245,type,
    aa_d_assn: ( fun_d_assn * d ) > assn ).

tff(func_def_1246,type,
    aa_d_P9049729840602276459_nat_d: ( fun_d_3823435825767679546_nat_d * d ) > product_prod_nat_d ).

tff(func_def_1247,type,
    aa_d_P6917246732237330211od_c_d: ( fun_d_1256559671894383786od_c_d * d ) > product_prod_c_d ).

tff(func_def_1248,type,
    aa_d_P4129791150264654178od_d_d: ( fun_d_620910671289397097od_d_d * d ) > product_prod_d_d ).

tff(func_def_1249,type,
    aa_d_fun_int_assn: ( fun_d_fun_int_assn * d ) > fun_int_assn ).

tff(func_def_1250,type,
    aa_d_f2277871736232196682_d_int: ( fun_d_2234230340994827929_d_int * d ) > fun_in5852856594745477125_d_int ).

tff(func_def_1251,type,
    aa_d_fun_nat_o: ( fun_d_fun_nat_o * d ) > fun_nat_o ).

tff(func_def_1252,type,
    aa_d_fun_nat_assn: ( fun_d_fun_nat_assn * d ) > fun_nat_assn ).

tff(func_def_1253,type,
    aa_d_f7443782029664826770_d_nat: ( fun_d_5839661626854366689_d_nat * d ) > fun_na1795394851323331405_d_nat ).

tff(func_def_1254,type,
    aa_d_fun_c_assn: ( fun_d_fun_c_assn * d ) > fun_c_assn ).

tff(func_def_1255,type,
    aa_d_f479461486583208174od_d_c: ( fun_d_7375468105587134781od_d_c * d ) > fun_c_1189316931574867241od_d_c ).

tff(func_def_1256,type,
    aa_d_fun_d_o: ( fun_d_fun_d_o * d ) > fun_d_o ).

tff(func_def_1257,type,
    aa_d_fun_d_assn: ( fun_d_fun_d_assn * d ) > fun_d_assn ).

tff(func_def_1258,type,
    aa_d_f9134427263152513838od_d_d: ( fun_d_3518232967345404797od_d_d * d ) > fun_d_620910671289397097od_d_d ).

tff(func_def_1259,type,
    fNot: fun_o_o ).

tff(func_def_1260,type,
    fequal_o: fun_o_fun_o_o ).

tff(func_def_1261,type,
    fequal_int: fun_int_fun_int_o ).

tff(func_def_1262,type,
    fequal_nat: fun_nat_fun_nat_o ).

tff(func_def_1263,type,
    member8440522571783428010at_nat: product_prod_nat_nat > fun_se4782206882984618170_nat_o ).

tff(func_def_1264,type,
    a: fun_c_fun_d_assn ).

tff(func_def_1265,type,
    f: assn ).

tff(func_def_1266,type,
    i: set_nat ).

tff(func_def_1267,type,
    p: assn ).

tff(func_def_1268,type,
    q: assn ).

tff(func_def_1269,type,
    i2: nat ).

tff(func_def_1270,type,
    x: c ).

tff(func_def_1271,type,
    xi: d ).

tff(func_def_1272,type,
    xs: list_c ).

tff(func_def_1273,type,
    xsi: list_d ).

tff(func_def_1274,type,
    a20: int ).

tff(func_def_1275,type,
    a21: int ).

tff(func_def_1276,type,
    v2: code_natural ).

tff(func_def_1277,type,
    w3: code_natural ).

tff(func_def_1280,type,
    bG4: $o > $o ).

tff(func_def_1281,type,
    bG5: $o > $o ).

tff(func_def_1282,type,
    bG6: $o > $o ).

tff(func_def_1283,type,
    bG7: $o > $o ).

tff(func_def_1284,type,
    bG8: $o > $o ).

tff(func_def_1285,type,
    bG9: $o > $o ).

tff(func_def_1286,type,
    bG10: $o > $o ).

tff(func_def_1287,type,
    bG11: $o > $o ).

tff(func_def_1288,type,
    bG12: $o > $o ).

tff(func_def_1289,type,
    bG13: $o > $o ).

tff(func_def_1290,type,
    bG14: $o > $o ).

tff(func_def_1291,type,
    bG15: $o > $o ).

tff(func_def_1292,type,
    bG16: $o > $o ).

tff(func_def_1293,type,
    bG17: $o > $o ).

tff(func_def_1294,type,
    bG18: $o > $o ).

tff(func_def_1295,type,
    bG19: $o > $o ).

tff(func_def_1296,type,
    bG20: $o > $o ).

tff(func_def_1297,type,
    bG21: $o > $o ).

tff(func_def_1298,type,
    bG22: $o > $o ).

tff(func_def_1299,type,
    bG23: $o > $o ).

tff(func_def_1300,type,
    bG24: $o > $o ).

tff(func_def_1301,type,
    bG25: $o > $o ).

tff(func_def_1302,type,
    bG26: $o > $o ).

tff(func_def_1303,type,
    bG27: $o > $o ).

tff(func_def_1304,type,
    bG28: $o > $o ).

tff(func_def_1305,type,
    bG29: $o > $o ).

tff(func_def_1306,type,
    bG30: $o > $o ).

tff(func_def_1307,type,
    bG31: $o > $o ).

tff(func_def_1308,type,
    bG32: $o > $o ).

tff(func_def_1309,type,
    bG33: $o > $o ).

tff(func_def_1310,type,
    bG34: $o > $o ).

tff(func_def_1311,type,
    bG35: $o > $o ).

tff(func_def_1312,type,
    bG36: $o > $o ).

tff(func_def_1313,type,
    bG37: $o > $o ).

tff(func_def_1314,type,
    bG38: $o > $o ).

tff(func_def_1315,type,
    bG39: $o > $o ).

tff(func_def_1316,type,
    bG40: $o > $o ).

tff(func_def_1317,type,
    bG41: $o > $o ).

tff(func_def_1318,type,
    bG42: $o > $o ).

tff(func_def_1319,type,
    bG43: $o > $o ).

tff(func_def_1320,type,
    bG44: $o > $o ).

tff(func_def_1321,type,
    bG45: $o > $o ).

tff(func_def_1322,type,
    bG46: $o > $o ).

tff(func_def_1323,type,
    bG47: $o > $o ).

tff(func_def_1324,type,
    bG48: $o > $o ).

tff(func_def_1325,type,
    bG49: $o > $o ).

tff(func_def_1326,type,
    bG50: $o > $o ).

tff(func_def_1327,type,
    bG51: $o > $o ).

tff(func_def_1328,type,
    bG52: $o > $o ).

tff(func_def_1329,type,
    bG53: $o > $o ).

tff(func_def_1330,type,
    bG54: $o > $o ).

tff(func_def_1331,type,
    bG55: $o > $o ).

tff(func_def_1332,type,
    bG56: $o > $o ).

tff(func_def_1333,type,
    bG57: $o > $o ).

tff(func_def_1334,type,
    bG58: $o > $o ).

tff(func_def_1335,type,
    bG59: $o > $o ).

tff(func_def_1336,type,
    bG60: $o > $o ).

tff(func_def_1337,type,
    bG61: $o > $o ).

tff(func_def_1338,type,
    bG62: $o > $o ).

tff(func_def_1339,type,
    bG63: $o > $o ).

tff(func_def_1340,type,
    bG64: $o > $o ).

tff(func_def_1341,type,
    bG65: $o > $o ).

tff(func_def_1342,type,
    bG66: $o > $o ).

tff(func_def_1343,type,
    bG67: $o > $o ).

tff(func_def_1344,type,
    bG68: $o > $o ).

tff(func_def_1345,type,
    bG70: $o > $o ).

tff(func_def_1346,type,
    bG71: $o > $o ).

tff(func_def_1347,type,
    bG72: $o > $o ).

tff(func_def_1348,type,
    bG73: $o > $o ).

tff(func_def_1349,type,
    bG79: $o > $o ).

tff(func_def_1350,type,
    bG80: $o > $o ).

tff(func_def_1351,type,
    bG81: $o > $o ).

tff(func_def_1352,type,
    bG82: $o > $o ).

tff(func_def_1353,type,
    bG83: $o > $o ).

tff(func_def_1354,type,
    bG84: $o > $o ).

tff(func_def_1355,type,
    bG85: $o > $o ).

tff(func_def_1356,type,
    bG86: $o > $o ).

tff(func_def_1357,type,
    bG87: $o > $o ).

tff(func_def_1358,type,
    bG88: $o > $o ).

tff(func_def_1359,type,
    bG89: $o > $o ).

tff(func_def_1360,type,
    bG90: $o > $o ).

tff(func_def_1361,type,
    bG91: $o > $o ).

tff(func_def_1362,type,
    bG92: $o > $o ).

tff(func_def_1363,type,
    bG93: $o > $o ).

tff(func_def_1364,type,
    bG94: $o > $o ).

tff(func_def_1365,type,
    bG95: $o > $o ).

tff(func_def_1366,type,
    bG96: $o > $o ).

tff(func_def_1367,type,
    bG97: $o > $o ).

tff(func_def_1368,type,
    bG98: $o > $o ).

tff(func_def_1369,type,
    bG99: $o > $o ).

tff(func_def_1370,type,
    iG100: ( set_o * $o * set_o ) > set_o ).

tff(func_def_1371,type,
    iG101: ( set_Pr4329608150637261639at_nat * produc3843707927480180839at_nat * set_Pr4329608150637261639at_nat ) > set_Pr4329608150637261639at_nat ).

tff(func_def_1372,type,
    iG102: ( set_Pr1261947904930325089at_nat * product_prod_nat_nat * set_Pr1261947904930325089at_nat ) > set_Pr1261947904930325089at_nat ).

tff(func_def_1373,type,
    iG103: ( set_int * int * set_int ) > set_int ).

tff(func_def_1374,type,
    iG104: ( set_fu3555266933746557007_nat_o * fun_Pr6460944699146269935_nat_o * set_fu3555266933746557007_nat_o ) > set_fu3555266933746557007_nat_o ).

tff(func_def_1375,type,
    iG105: ( set_nat * nat * set_nat ) > set_nat ).

tff(func_def_1376,type,
    bG106: $o > $o ).

tff(func_def_1377,type,
    bG107: $o > $o ).

tff(func_def_1378,type,
    bG108: $o > $o ).

tff(func_def_1379,type,
    bG109: $o > $o ).

tff(func_def_1380,type,
    bG110: set_o > $o ).

tff(func_def_1381,type,
    bG111: $o > $o ).

tff(func_def_1382,type,
    bG112: $o > $o ).

tff(func_def_1383,type,
    iG113: ( nat * nat * list_c * c ) > c ).

tff(func_def_1384,type,
    iG114: ( nat * nat * list_d * d ) > d ).

tff(func_def_1385,type,
    iG115: ( nat * nat * list_nat * nat ) > nat ).

tff(func_def_1386,type,
    iG116: ( nat * nat * list_int * int ) > int ).

tff(func_def_1387,type,
    iG117: ( nat * nat * list_c * c ) > c ).

tff(func_def_1388,type,
    iG118: ( nat * nat * list_d * d ) > d ).

tff(func_def_1389,type,
    iG119: ( nat * nat * list_nat * nat ) > nat ).

tff(func_def_1390,type,
    iG120: ( nat * nat * list_int * int ) > int ).

tff(func_def_1391,type,
    bG121: $o > $o ).

tff(func_def_1392,type,
    bG122: $o > $o ).

tff(func_def_1393,type,
    bG123: $o > $o ).

tff(func_def_1394,type,
    bG124: $o > $o ).

tff(func_def_1395,type,
    bG125: $o > $o ).

tff(func_def_1396,type,
    bG126: $o > $o ).

tff(func_def_1397,type,
    bG127: ( nat * list_o ) > $o ).

tff(func_def_1398,type,
    bG128: $o > $o ).

tff(func_def_1399,type,
    bG129: $o > $o ).

tff(func_def_1400,type,
    bG130: $o > $o ).

tff(func_def_1401,type,
    bG131: $o > $o ).

tff(func_def_1402,type,
    bG132: $o > $o ).

tff(func_def_1403,type,
    bG133: $o > $o ).

tff(func_def_1404,type,
    bG134: $o > $o ).

tff(func_def_1405,type,
    bG135: ( $o * $o ) > $o ).

tff(func_def_1406,type,
    bG136: $o > $o ).

tff(func_def_1407,type,
    bG137: $o > $o ).

tff(func_def_1408,type,
    bG138: $o > $o ).

tff(func_def_1409,type,
    bG139: $o > $o ).

tff(func_def_1410,type,
    bG140: $o > $o ).

tff(func_def_1411,type,
    bG141: $o > $o ).

tff(func_def_1412,type,
    bG142: ( nat * list_o ) > $o ).

tff(func_def_1413,type,
    bG143: $o > $o ).

tff(func_def_1414,type,
    bG144: $o > $o ).

tff(func_def_1415,type,
    bG145: ( nat * list_o ) > $o ).

tff(func_def_1416,type,
    bG146: $o > $o ).

tff(func_def_1417,type,
    bG147: $o > $o ).

tff(func_def_1418,type,
    bG148: $o > $o ).

tff(func_def_1419,type,
    bG149: $o > $o ).

tff(func_def_1420,type,
    bG150: $o > $o ).

tff(func_def_1421,type,
    bG151: $o > $o ).

tff(func_def_1422,type,
    bG152: $o > $o ).

tff(func_def_1423,type,
    bG153: $o > $o ).

tff(func_def_1424,type,
    bG154: $o > $o ).

tff(func_def_1425,type,
    bG155: $o > $o ).

tff(func_def_1426,type,
    bG156: $o > $o ).

tff(func_def_1427,type,
    bG157: $o > $o ).

tff(func_def_1428,type,
    bG158: $o > $o ).

tff(func_def_1429,type,
    iG159: ( list_P5464809261938338413at_nat * produc3843707927480180839at_nat ) > nat ).

tff(func_def_1430,type,
    iG160: ( list_P6011104703257516679at_nat * product_prod_nat_nat ) > nat ).

tff(func_def_1431,type,
    iG161: ( list_f5222602229612168821_nat_o * fun_Pr6460944699146269935_nat_o ) > nat ).

tff(func_def_1432,type,
    iG162: ( list_P8527749157015355191n_assn * produc6575502325842934193n_assn ) > nat ).

tff(func_def_1433,type,
    iG163: ( list_c * c ) > nat ).

tff(func_def_1434,type,
    iG164: ( list_d * d ) > nat ).

tff(func_def_1435,type,
    iG165: ( list_nat * nat ) > nat ).

tff(func_def_1436,type,
    iG166: ( list_int * int ) > nat ).

tff(func_def_1437,type,
    bG167: $o > $o ).

tff(func_def_1438,type,
    bG168: $o > $o ).

tff(func_def_1439,type,
    bG175: $o > $o ).

tff(func_def_1440,type,
    bG176: $o > $o ).

tff(func_def_1441,type,
    bG177: $o > $o ).

tff(func_def_1442,type,
    bG180: $o > $o ).

tff(func_def_1443,type,
    bG185: $o > $o ).

tff(func_def_1444,type,
    bG186: $o > $o ).

tff(func_def_1445,type,
    bG187: $o > $o ).

tff(func_def_1446,type,
    bG188: $o > $o ).

tff(func_def_1447,type,
    bG189: $o > $o ).

tff(func_def_1448,type,
    bG190: $o > $o ).

tff(func_def_1449,type,
    bG191: $o > $o ).

tff(func_def_1450,type,
    bG192: $o > $o ).

tff(func_def_1451,type,
    bG193: $o > $o ).

tff(func_def_1452,type,
    bG194: $o > $o ).

tff(func_def_1453,type,
    bG195: $o > $o ).

tff(func_def_1454,type,
    bG196: $o > $o ).

tff(func_def_1455,type,
    bG197: $o > $o ).

tff(func_def_1456,type,
    bG198: ( $o * $o ) > $o ).

tff(func_def_1457,type,
    bG199: $o > $o ).

tff(func_def_1458,type,
    bG200: $o > $o ).

tff(func_def_1459,type,
    bG201: $o > $o ).

tff(func_def_1460,type,
    bG202: $o > $o ).

tff(func_def_1461,type,
    bG203: $o > $o ).

tff(func_def_1462,type,
    bG204: $o > $o ).

tff(func_def_1463,type,
    bG205: $o > $o ).

tff(func_def_1464,type,
    bG206: $o > $o ).

tff(func_def_1465,type,
    bG207: $o > $o ).

tff(func_def_1466,type,
    bG208: $o > $o ).

tff(func_def_1467,type,
    bG209: $o > $o ).

tff(func_def_1468,type,
    bG210: $o > $o ).

tff(func_def_1469,type,
    bG211: $o > $o ).

tff(func_def_1470,type,
    bG212: $o > $o ).

tff(func_def_1471,type,
    bG213: $o > $o ).

tff(func_def_1472,type,
    bG214: $o > $o ).

tff(func_def_1473,type,
    bG215: $o > $o ).

tff(func_def_1474,type,
    bG216: $o > $o ).

tff(func_def_1475,type,
    bG217: $o > $o ).

tff(func_def_1476,type,
    bG218: $o > $o ).

tff(func_def_1477,type,
    bG219: $o > $o ).

tff(func_def_1478,type,
    bG220: $o > $o ).

tff(func_def_1479,type,
    bG221: $o > $o ).

tff(func_def_1480,type,
    bG222: $o > $o ).

tff(func_def_1481,type,
    bG223: $o > $o ).

tff(func_def_1482,type,
    bG224: $o > $o ).

tff(func_def_1483,type,
    bG225: $o > $o ).

tff(func_def_1484,type,
    bG226: $o > $o ).

tff(func_def_1485,type,
    bG227: $o > $o ).

tff(func_def_1486,type,
    bG231: $o > $o ).

tff(func_def_1487,type,
    bG232: $o > $o ).

tff(func_def_1488,type,
    bG234: $o > $o ).

tff(func_def_1489,type,
    bG237: $o > $o ).

tff(func_def_1490,type,
    bG238: $o > $o ).

tff(func_def_1491,type,
    bG239: $o > $o ).

tff(func_def_1492,type,
    bG240: $o > $o ).

tff(func_def_1493,type,
    bG241: $o > $o ).

tff(func_def_1494,type,
    bG242: $o > $o ).

tff(func_def_1495,type,
    bG243: $o > $o ).

tff(func_def_1496,type,
    bG244: $o > $o ).

tff(func_def_1497,type,
    bG245: $o > $o ).

tff(func_def_1498,type,
    bG246: $o > $o ).

tff(func_def_1499,type,
    bG247: $o > $o ).

tff(func_def_1500,type,
    bG248: $o > $o ).

tff(func_def_1501,type,
    bG249: $o > $o ).

tff(func_def_1502,type,
    bG250: $o > $o ).

tff(func_def_1503,type,
    bG251: $o > $o ).

tff(func_def_1504,type,
    bG252: $o > $o ).

tff(func_def_1505,type,
    bG253: $o > $o ).

tff(func_def_1506,type,
    bG254: $o > $o ).

tff(func_def_1507,type,
    bG255: $o > $o ).

tff(func_def_1508,type,
    bG256: $o > $o ).

tff(func_def_1509,type,
    bG257: $o > $o ).

tff(func_def_1510,type,
    bG258: $o > $o ).

tff(func_def_1511,type,
    bG259: $o > $o ).

tff(func_def_1512,type,
    bG260: $o > $o ).

tff(func_def_1513,type,
    bG261: $o > $o ).

tff(func_def_1514,type,
    bG262: $o > $o ).

tff(func_def_1515,type,
    bG263: $o > $o ).

tff(func_def_1516,type,
    bG264: $o > $o ).

tff(func_def_1517,type,
    bG265: $o > $o ).

tff(func_def_1518,type,
    bG266: $o > $o ).

tff(func_def_1519,type,
    bG267: $o > $o ).

tff(func_def_1520,type,
    bG268: $o > $o ).

tff(func_def_1521,type,
    bG269: $o > $o ).

tff(func_def_1522,type,
    bG270: $o > $o ).

tff(func_def_1523,type,
    bG271: $o > $o ).

tff(func_def_1524,type,
    bG272: $o > $o ).

tff(func_def_1525,type,
    bG273: $o > $o ).

tff(func_def_1526,type,
    bG274: $o > $o ).

tff(func_def_1527,type,
    bG275: $o > $o ).

tff(func_def_1528,type,
    iG276: ( set_o * $o * set_o ) > set_o ).

tff(func_def_1529,type,
    iG277: ( set_Pr4329608150637261639at_nat * produc3843707927480180839at_nat * set_Pr4329608150637261639at_nat ) > set_Pr4329608150637261639at_nat ).

tff(func_def_1530,type,
    iG278: ( set_int * int * set_int ) > set_int ).

tff(func_def_1531,type,
    iG279: ( set_fu3555266933746557007_nat_o * fun_Pr6460944699146269935_nat_o * set_fu3555266933746557007_nat_o ) > set_fu3555266933746557007_nat_o ).

tff(func_def_1532,type,
    iG280: ( set_nat * nat * set_nat ) > set_nat ).

tff(func_def_1533,type,
    iG281: ( set_Pr1261947904930325089at_nat * product_prod_nat_nat * set_Pr1261947904930325089at_nat ) > set_Pr1261947904930325089at_nat ).

tff(func_def_1534,type,
    bG282: $o > $o ).

tff(func_def_1535,type,
    bG283: $o > $o ).

tff(func_def_1536,type,
    bG284: $o > $o ).

tff(func_def_1537,type,
    iG285: ( set_o * $o * set_o ) > set_o ).

tff(func_def_1538,type,
    iG286: ( set_Pr4329608150637261639at_nat * produc3843707927480180839at_nat * set_Pr4329608150637261639at_nat ) > set_Pr4329608150637261639at_nat ).

tff(func_def_1539,type,
    iG287: ( set_int * int * set_int ) > set_int ).

tff(func_def_1540,type,
    iG288: ( set_fu3555266933746557007_nat_o * fun_Pr6460944699146269935_nat_o * set_fu3555266933746557007_nat_o ) > set_fu3555266933746557007_nat_o ).

tff(func_def_1541,type,
    iG289: ( set_nat * nat * set_nat ) > set_nat ).

tff(func_def_1542,type,
    iG290: ( set_Pr1261947904930325089at_nat * product_prod_nat_nat * set_Pr1261947904930325089at_nat ) > set_Pr1261947904930325089at_nat ).

tff(func_def_1543,type,
    iG291: ( nat * list_c * c ) > list_c ).

tff(func_def_1544,type,
    iG292: ( nat * list_d * d ) > list_d ).

tff(func_def_1545,type,
    iG293: ( nat * list_nat * nat ) > list_nat ).

tff(func_def_1546,type,
    iG294: ( nat * list_int * int ) > list_int ).

tff(func_def_1547,type,
    bG295: $o > $o ).

tff(func_def_1548,type,
    bG296: $o > $o ).

tff(func_def_1549,type,
    bG297: $o > $o ).

tff(func_def_1550,type,
    bG298: $o > $o ).

tff(func_def_1551,type,
    iG299: ( assn * assn ) > assn ).

tff(func_def_1552,type,
    iG300: ( filter_nat * filter_nat ) > filter_nat ).

tff(func_def_1553,type,
    iG301: ( set_nat * set_nat ) > set_nat ).

tff(func_def_1554,type,
    iG302: ( nat * nat ) > nat ).

tff(func_def_1555,type,
    iG303: ( int * int ) > int ).

tff(func_def_1556,type,
    bG304: $o > $o ).

tff(func_def_1557,type,
    bG305: $o > $o ).

tff(func_def_1558,type,
    bG306: $o > $o ).

tff(func_def_1559,type,
    bG307: $o > $o ).

tff(func_def_1560,type,
    bG308: $o > $o ).

tff(func_def_1561,type,
    bG309: $o > $o ).

tff(func_def_1562,type,
    bG310: $o > $o ).

tff(func_def_1563,type,
    bG311: $o > $o ).

tff(func_def_1564,type,
    bG312: $o > $o ).

tff(func_def_1565,type,
    bG313: $o > $o ).

tff(func_def_1566,type,
    bG314: $o > $o ).

tff(func_def_1567,type,
    bG315: $o > $o ).

tff(func_def_1568,type,
    bG316: $o > $o ).

tff(func_def_1569,type,
    bG317: $o > $o ).

tff(func_def_1570,type,
    bG318: ( $o * $o ) > $o ).

tff(func_def_1571,type,
    bG319: $o > $o ).

tff(func_def_1572,type,
    bG320: $o > $o ).

tff(func_def_1573,type,
    bG321: $o > $o ).

tff(func_def_1574,type,
    bG322: $o > $o ).

tff(func_def_1575,type,
    bG323: $o > $o ).

tff(func_def_1576,type,
    bG324: $o > $o ).

tff(func_def_1577,type,
    bG325: $o > $o ).

tff(func_def_1578,type,
    bG326: $o > $o ).

tff(func_def_1579,type,
    bG327: $o > $o ).

tff(func_def_1580,type,
    bG328: $o > $o ).

tff(func_def_1581,type,
    bG329: $o > $o ).

tff(func_def_1582,type,
    bG330: $o > $o ).

tff(func_def_1583,type,
    bG331: $o > $o ).

tff(func_def_1584,type,
    bG332: $o > $o ).

tff(func_def_1585,type,
    bG333: $o > $o ).

tff(func_def_1586,type,
    iG334: ( int * int * list_int ) > list_int ).

tff(func_def_1587,type,
    iG335: ( nat * nat * list_nat ) > list_nat ).

tff(func_def_1588,type,
    iG336: ( produc6575502325842934193n_assn * produc6575502325842934193n_assn * list_P8527749157015355191n_assn ) > list_P8527749157015355191n_assn ).

tff(func_def_1589,type,
    iG337: ( int * int * list_int ) > list_int ).

tff(func_def_1590,type,
    iG338: ( nat * nat * list_nat ) > list_nat ).

tff(func_def_1591,type,
    iG339: ( produc6575502325842934193n_assn * produc6575502325842934193n_assn * list_P8527749157015355191n_assn ) > list_P8527749157015355191n_assn ).

tff(func_def_1592,type,
    iG340: ( code_integer * code_integer * list_Code_integer * list_Code_integer ) > list_Code_integer ).

tff(func_def_1593,type,
    iG341: ( code_integer * code_integer * list_Code_integer * list_Code_integer ) > list_Code_integer ).

tff(func_def_1594,type,
    iG342: ( num * num * list_num * list_num ) > list_num ).

tff(func_def_1595,type,
    iG343: ( num * num * list_num * list_num ) > list_num ).

tff(func_def_1596,type,
    iG344: ( nat * nat * list_nat * list_nat ) > list_nat ).

tff(func_def_1597,type,
    iG345: ( nat * nat * list_nat * list_nat ) > list_nat ).

tff(func_def_1598,type,
    iG346: ( int * int * list_int * list_int ) > list_int ).

tff(func_def_1599,type,
    iG347: ( int * int * list_int * list_int ) > list_int ).

tff(func_def_1600,type,
    iG348: ( list_P5464809261938338413at_nat * produc3843707927480180839at_nat ) > list_P5464809261938338413at_nat ).

tff(func_def_1601,type,
    iG349: ( list_P6011104703257516679at_nat * product_prod_nat_nat ) > list_P6011104703257516679at_nat ).

tff(func_def_1602,type,
    iG350: ( list_f5222602229612168821_nat_o * fun_Pr6460944699146269935_nat_o ) > list_f5222602229612168821_nat_o ).

tff(func_def_1603,type,
    iG351: ( list_int * int ) > list_int ).

tff(func_def_1604,type,
    iG352: ( list_nat * nat ) > list_nat ).

tff(func_def_1605,type,
    iG353: ( list_P8527749157015355191n_assn * produc6575502325842934193n_assn ) > list_P8527749157015355191n_assn ).

tff(func_def_1606,type,
    iG354: ( nat * list_int * int ) > int ).

tff(func_def_1607,type,
    iG355: ( nat * list_nat * nat ) > nat ).

tff(func_def_1608,type,
    iG356: ( nat * list_P8527749157015355191n_assn * produc6575502325842934193n_assn ) > produc6575502325842934193n_assn ).

tff(func_def_1609,type,
    iG357: ( nat * nat * list_int * int ) > list_int ).

tff(func_def_1610,type,
    iG358: ( nat * nat * list_nat * nat ) > list_nat ).

tff(func_def_1611,type,
    iG359: ( nat * nat * list_P8527749157015355191n_assn * produc6575502325842934193n_assn ) > list_P8527749157015355191n_assn ).

tff(func_def_1612,type,
    iG360: ( int * int * list_int ) > nat ).

tff(func_def_1613,type,
    iG361: ( nat * nat * list_nat ) > nat ).

tff(func_def_1614,type,
    iG362: ( produc6575502325842934193n_assn * produc6575502325842934193n_assn * list_P8527749157015355191n_assn ) > nat ).

tff(func_def_1615,type,
    bG363: list_int > $o ).

tff(func_def_1616,type,
    bG364: list_nat > $o ).

tff(func_def_1617,type,
    bG365: list_P8527749157015355191n_assn > $o ).

tff(func_def_1618,type,
    bG366: list_int > $o ).

tff(func_def_1619,type,
    bG367: list_nat > $o ).

tff(func_def_1620,type,
    bG368: list_P8527749157015355191n_assn > $o ).

tff(func_def_1621,type,
    bG369: list_int > $o ).

tff(func_def_1622,type,
    bG370: list_nat > $o ).

tff(func_def_1623,type,
    bG371: list_P8527749157015355191n_assn > $o ).

tff(func_def_1624,type,
    bG372: list_int > $o ).

tff(func_def_1625,type,
    bG373: list_nat > $o ).

tff(func_def_1626,type,
    bG374: list_P8527749157015355191n_assn > $o ).

tff(func_def_1627,type,
    bG375: list_int > $o ).

tff(func_def_1628,type,
    bG376: list_nat > $o ).

tff(func_def_1629,type,
    bG377: list_P8527749157015355191n_assn > $o ).

tff(func_def_1630,type,
    bG378: list_int > $o ).

tff(func_def_1631,type,
    bG379: list_nat > $o ).

tff(func_def_1632,type,
    bG380: list_P8527749157015355191n_assn > $o ).

tff(func_def_1633,type,
    iG383: ( int * int * list_int ) > list_int ).

tff(func_def_1634,type,
    iG384: ( nat * nat ) > nat ).

tff(func_def_1635,type,
    iG385: ( nat * nat ) > nat ).

tff(func_def_1636,type,
    iG386: ( nat * nat ) > nat ).

tff(func_def_1637,type,
    iG387: ( int * int ) > int ).

tff(func_def_1638,type,
    iG388: ( int * int ) > int ).

tff(func_def_1639,type,
    iG389: ( num * num ) > list_int ).

tff(func_def_1640,type,
    iG390: ( num * num ) > list_int ).

tff(func_def_1641,type,
    iG391: ( num * num ) > list_int ).

tff(func_def_1642,type,
    iG392: ( num * num ) > list_int ).

tff(func_def_1643,type,
    iG393: ( int * int ) > list_int ).

tff(func_def_1644,type,
    iG394: ( int * int ) > list_int ).

tff(func_def_1645,type,
    bG395: nat > $o ).

tff(func_def_1646,type,
    bG396: int > $o ).

tff(func_def_1647,type,
    bG397: ( int * int ) > $o ).

tff(func_def_1648,type,
    bG398: ( int * int ) > $o ).

tff(func_def_1649,type,
    iG399: ( int * int ) > int ).

tff(func_def_1650,type,
    bG400: ( int * int ) > $o ).

tff(func_def_1651,type,
    bG401: ( int * int ) > $o ).

tff(func_def_1652,type,
    iG402: ( int * int ) > int ).

tff(func_def_1653,type,
    iG403: ( int * int ) > list_int ).

tff(func_def_1654,type,
    iG404: ( int * int ) > list_int ).

tff(func_def_1655,type,
    iG405: nat > num ).

tff(func_def_1656,type,
    iG406: ( nat * nat ) > nat ).

tff(func_def_1657,type,
    iG407: ( nat * nat ) > nat ).

tff(func_def_1658,type,
    iG408: ( nat * nat ) > product_prod_nat_nat ).

tff(func_def_1659,type,
    iG409: ( nat * nat ) > product_prod_nat_nat ).

tff(func_def_1660,type,
    iG410: ( int * int ) > set_int ).

tff(func_def_1661,type,
    iG411: ( nat * nat ) > set_nat ).

tff(func_def_1662,type,
    iG412: ( num * nat ) > set_nat ).

tff(func_def_1663,type,
    iG413: ( nat * nat ) > set_nat ).

tff(func_def_1664,type,
    iG414: ( nat * nat * nat ) > set_nat ).

tff(func_def_1665,type,
    iG415: set_nat > nat ).

tff(func_def_1666,type,
    iG416: ( nat * nat ) > product_prod_nat_nat ).

tff(func_def_1667,type,
    iG417: ( num * num ) > list_nat ).

tff(func_def_1668,type,
    iG418: ( nat * nat ) > list_nat ).

tff(func_def_1669,type,
    iG419: ( nat * nat ) > list_nat ).

tff(func_def_1670,type,
    bG420: code_integer > $o ).

tff(func_def_1671,type,
    iG421: code_integer > produc6271795597528267376eger_o ).

tff(func_def_1672,type,
    iG422: ( code_integer * code_integer ) > produc8923325533196201883nteger ).

tff(func_def_1673,type,
    iG423: ( code_integer * code_integer ) > produc8923325533196201883nteger ).

tff(func_def_1674,type,
    iG424: ( code_integer * code_integer ) > produc8923325533196201883nteger ).

tff(func_def_1675,type,
    iG425: ( code_integer * code_integer ) > produc8923325533196201883nteger ).

tff(func_def_1676,type,
    iG426: ( code_integer * code_integer ) > produc8923325533196201883nteger ).

tff(func_def_1677,type,
    iG427: ( code_integer * code_integer ) > produc8923325533196201883nteger ).

tff(func_def_1678,type,
    iG428: ( code_integer * code_integer ) > produc8923325533196201883nteger ).

tff(func_def_1679,type,
    iG429: ( code_integer * code_integer ) > produc8923325533196201883nteger ).

tff(func_def_1680,type,
    iG430: ( nat * nat ) > product_prod_int_int ).

tff(func_def_1681,type,
    iG431: ( nat * nat ) > product_prod_int_int ).

tff(func_def_1682,type,
    iG432: ( nat * nat ) > product_prod_int_int ).

tff(func_def_1683,type,
    bG433: $o > $o ).

tff(func_def_1684,type,
    iG434: ( nat * nat ) > product_prod_nat_nat ).

tff(func_def_1685,type,
    lG435: product_prod_int_int > int ).

tff(func_def_1686,type,
    lG436: product_prod_int_int > int ).

tff(func_def_1687,type,
    iG437: product_prod_int_int > product_prod_int_int ).

tff(func_def_1688,type,
    iG438: product_prod_int_int > product_prod_int_int ).

tff(func_def_1689,type,
    iG439: ( nat * nat ) > nat ).

tff(func_def_1690,type,
    iG440: product_prod_int_int > product_prod_int_int ).

tff(func_def_1691,type,
    bG441: $o > $o ).

tff(func_def_1692,type,
    bG442: $o > $o ).

tff(func_def_1693,type,
    iG443: ( int * int ) > product_prod_int_int ).

tff(func_def_1694,type,
    bG444: $o > $o ).

tff(func_def_1695,type,
    bG445: $o > $o ).

tff(func_def_1696,type,
    bG446: $o > $o ).

tff(func_def_1697,type,
    bG447: $o > $o ).

tff(func_def_1698,type,
    lG448: code_natural > code_natural ).

tff(func_def_1699,type,
    lG449: code_natural > code_natural ).

tff(func_def_1700,type,
    iG450: ( code_natural * code_natural ) > code_natural ).

tff(func_def_1701,type,
    bG451: $o > $o ).

tff(func_def_1702,type,
    iG452: ( $o * heap_e7401611519738050253t_unit ) > option8956607266484857688it_nat ).

tff(func_def_1703,type,
    bG453: $o > $o ).

tff(func_def_1704,type,
    iG454: product_prod_int_int > product_prod_int_int ).

tff(func_def_1705,type,
    iG455: ( int * int ) > product_prod_int_int ).

tff(func_def_1706,type,
    iG456: ( int * int ) > product_prod_int_int ).

tff(func_def_1707,type,
    iG457: ( code_integer * num * code_integer ) > produc8923325533196201883nteger ).

tff(func_def_1708,type,
    iG458: ( nat * num * nat ) > product_prod_nat_nat ).

tff(func_def_1709,type,
    iG459: ( int * num * int ) > product_prod_int_int ).

tff(func_def_1710,type,
    iG460: ( code_integer * code_integer * code_integer ) > produc8923325533196201883nteger ).

tff(func_def_1711,type,
    iG461: ( code_integer * code_integer * code_integer ) > produc8923325533196201883nteger ).

tff(func_def_1712,type,
    iG462: ( code_integer * code_integer * code_integer ) > produc8923325533196201883nteger ).

tff(func_def_1713,type,
    iG463: ( code_integer * code_integer * code_integer ) > code_integer ).

tff(func_def_1714,type,
    bG464: code_integer > $o ).

tff(func_def_1715,type,
    bG465: $o > $o ).

tff(func_def_1716,type,
    bG466: $o > $o ).

tff(func_def_1717,type,
    bG467: $o > $o ).

tff(func_def_1718,type,
    bG468: $o > $o ).

tff(func_def_1719,type,
    bG469: $o > $o ).

tff(func_def_1720,type,
    bG470: $o > $o ).

tff(func_def_1721,type,
    sK473: assn > produc3658429121746597890et_nat ).

tff(func_def_1722,type,
    sK474: ( assn * assn ) > produc3658429121746597890et_nat ).

tff(func_def_1723,type,
    sK475: ( assn * assn ) > produc3658429121746597890et_nat ).

tff(func_def_1724,type,
    sK476: fun_as3983628580203722482n_assn > assn ).

tff(func_def_1725,type,
    sK477: fun_as3983628580203722482n_assn > assn ).

tff(func_def_1726,type,
    sK478: fun_as3983628580203722482n_assn > assn ).

tff(func_def_1727,type,
    sK479: fun_as3983628580203722482n_assn > assn ).

tff(func_def_1728,type,
    sK480: fun_as3983628580203722482n_assn > assn ).

tff(func_def_1729,type,
    sK481: fun_as3983628580203722482n_assn > assn ).

tff(func_def_1730,type,
    sK482: fun_as3983628580203722482n_assn > assn ).

tff(func_def_1731,type,
    sK483: fun_assn_assn > assn ).

tff(func_def_1732,type,
    sK484: fun_assn_assn > assn ).

tff(func_def_1733,type,
    sK485: fun_assn_assn > assn ).

tff(func_def_1734,type,
    sK486: fun_assn_assn > assn ).

tff(func_def_1735,type,
    sK487: fun_as3983628580203722482n_assn > assn ).

tff(func_def_1736,type,
    sK488: fun_as3983628580203722482n_assn > assn ).

tff(func_def_1737,type,
    sK489: fun_as3983628580203722482n_assn > assn ).

tff(func_def_1738,type,
    sK490: fun_as3983628580203722482n_assn > assn ).

tff(func_def_1739,type,
    sK491: fun_as3983628580203722482n_assn > assn ).

tff(func_def_1740,type,
    sK492: fun_as3983628580203722482n_assn > assn ).

tff(func_def_1741,type,
    sK493: fun_as3983628580203722482n_assn > assn ).

tff(func_def_1742,type,
    sK494: fun_assn_assn > assn ).

tff(func_def_1743,type,
    sK495: fun_assn_assn > assn ).

tff(func_def_1744,type,
    sK496: fun_assn_assn > assn ).

tff(func_def_1745,type,
    sK497: fun_assn_assn > assn ).

tff(func_def_1746,type,
    sK498: fun_assn_assn > assn ).

tff(func_def_1747,type,
    sK499: fun_assn_assn > assn ).

tff(func_def_1748,type,
    sK500: fun_assn_assn > assn ).

tff(func_def_1749,type,
    sK501: fun_assn_assn > assn ).

tff(func_def_1750,type,
    sK502: fun_assn_assn > assn ).

tff(func_def_1751,type,
    sK503: fun_assn_assn > assn ).

tff(func_def_1752,type,
    sK504: fun_assn_assn > assn ).

tff(func_def_1753,type,
    sK505: fun_assn_assn > assn ).

tff(func_def_1754,type,
    sK506: fun_assn_assn > assn ).

tff(func_def_1755,type,
    sK507: fun_assn_assn > assn ).

tff(func_def_1756,type,
    sK508: fun_assn_assn > assn ).

tff(func_def_1757,type,
    sK509: fun_assn_assn > assn ).

tff(func_def_1758,type,
    sK510: ( assn * assn * produc3658429121746597890et_nat ) > heap_e7401611519738050253t_unit ).

tff(func_def_1759,type,
    sK511: ( assn * assn * produc3658429121746597890et_nat ) > set_nat ).

tff(func_def_1760,type,
    sK512: ( assn * assn * produc3658429121746597890et_nat ) > set_nat ).

tff(func_def_1761,type,
    sK513: assn > produc3658429121746597890et_nat ).

tff(func_def_1762,type,
    sK514: assn > produc3658429121746597890et_nat ).

tff(func_def_1763,type,
    sK515: ( assn * assn ) > produc3658429121746597890et_nat ).

tff(func_def_1764,type,
    sK516: ( assn * assn ) > produc3658429121746597890et_nat ).

tff(func_def_1765,type,
    sK517: assn > produc3658429121746597890et_nat ).

tff(func_def_1766,type,
    sK518: assn ).

tff(func_def_1767,type,
    sK519: assn ).

tff(func_def_1768,type,
    sK520: assn ).

tff(func_def_1769,type,
    sK521: assn ).

tff(func_def_1770,type,
    sK522: assn ).

tff(func_def_1771,type,
    sK523: assn ).

tff(func_def_1772,type,
    sK524: fun_Pr6460944699146269935_nat_o > assn ).

tff(func_def_1773,type,
    sK525: fun_fu5135969500543783852at_o_o > assn ).

tff(func_def_1774,type,
    sK526: ( fun_Pr6460944699146269935_nat_o * assn ) > produc3658429121746597890et_nat ).

tff(func_def_1775,type,
    sK527: ( fun_Pr6460944699146269935_nat_o * assn ) > produc3658429121746597890et_nat ).

tff(func_def_1776,type,
    sK528: fun_nat_assn > nat ).

tff(func_def_1777,type,
    sK529: fun_nat_assn > nat ).

tff(func_def_1778,type,
    sK530: fun_nat_assn > nat ).

tff(func_def_1779,type,
    sK531: fun_nat_assn > nat ).

tff(func_def_1780,type,
    sK532: fun_nat_assn > nat ).

tff(func_def_1781,type,
    sK533: fun_nat_assn > nat ).

tff(func_def_1782,type,
    sK534: fun_nat_assn > nat ).

tff(func_def_1783,type,
    sK535: fun_nat_assn > nat ).

tff(func_def_1784,type,
    sK536: fun_nat_assn > nat ).

tff(func_def_1785,type,
    sK537: fun_nat_assn > nat ).

tff(func_def_1786,type,
    sK538: fun_nat_assn > nat ).

tff(func_def_1787,type,
    sK539: fun_nat_assn > nat ).

tff(func_def_1788,type,
    sK540: fun_nat_assn > nat ).

tff(func_def_1789,type,
    sK541: fun_nat_assn > nat ).

tff(func_def_1790,type,
    sK542: fun_int_assn > int ).

tff(func_def_1791,type,
    sK543: fun_int_assn > int ).

tff(func_def_1792,type,
    sK544: fun_nat_assn > nat ).

tff(func_def_1793,type,
    sK545: fun_nat_assn > nat ).

tff(func_def_1794,type,
    sK546: ( set_nat * set_nat ) > nat ).

tff(func_def_1795,type,
    sK547: ( set_nat * set_nat ) > nat ).

tff(func_def_1796,type,
    sK548: ( set_nat * set_nat ) > nat ).

tff(func_def_1797,type,
    sK549: ( set_nat * set_nat ) > nat ).

tff(func_def_1798,type,
    sK550: ( set_nat * set_nat ) > nat ).

tff(func_def_1799,type,
    sK551: ( set_nat * set_nat ) > nat ).

tff(func_def_1800,type,
    sK552: set_nat > nat ).

tff(func_def_1801,type,
    sK553: set_nat > nat ).

tff(func_def_1802,type,
    sK554: set_nat > nat ).

tff(func_def_1803,type,
    sK555: set_nat > nat ).

tff(func_def_1804,type,
    sK556: set_nat > nat ).

tff(func_def_1805,type,
    sK557: ( nat * set_nat ) > set_nat ).

tff(func_def_1806,type,
    sK558: ( nat * set_nat ) > set_nat ).

tff(func_def_1807,type,
    sK559: ( set_nat * set_nat * set_nat ) > set_nat ).

tff(func_def_1808,type,
    sK560: ( set_nat * set_nat * set_nat ) > set_nat ).

tff(func_def_1809,type,
    sK561: set_nat ).

tff(func_def_1810,type,
    sK562: set_nat ).

tff(func_def_1811,type,
    sK563: set_nat ).

tff(func_def_1812,type,
    sK564: set_nat ).

tff(func_def_1813,type,
    sK565: set_nat ).

tff(func_def_1814,type,
    sK566: set_nat ).

tff(func_def_1815,type,
    sK567: fun_se1909708154429037836et_nat > set_nat ).

tff(func_def_1816,type,
    sK568: fun_se1909708154429037836et_nat > set_nat ).

tff(func_def_1817,type,
    sK569: fun_se1909708154429037836et_nat > set_nat ).

tff(func_def_1818,type,
    sK570: fun_se1909708154429037836et_nat > set_nat ).

tff(func_def_1819,type,
    sK571: fun_se1909708154429037836et_nat > set_nat ).

tff(func_def_1820,type,
    sK572: fun_se1909708154429037836et_nat > set_nat ).

tff(func_def_1821,type,
    sK573: fun_se1909708154429037836et_nat > set_nat ).

tff(func_def_1822,type,
    sK574: ( set_nat * fun_nat_o ) > nat ).

tff(func_def_1823,type,
    sK575: ( set_nat * fun_nat_o ) > nat ).

tff(func_def_1824,type,
    sK576: ( set_nat * set_nat * fun_nat_o ) > nat ).

tff(func_def_1825,type,
    sK577: ( set_nat * set_nat * fun_nat_o ) > nat ).

tff(func_def_1826,type,
    sK578: ( set_nat * fun_nat_o ) > nat ).

tff(func_def_1827,type,
    sK579: ( set_nat * fun_nat_o ) > nat ).

tff(func_def_1828,type,
    sK580: fun_se1909708154429037836et_nat > set_nat ).

tff(func_def_1829,type,
    sK581: fun_se1909708154429037836et_nat > set_nat ).

tff(func_def_1830,type,
    sK582: fun_se1909708154429037836et_nat > set_nat ).

tff(func_def_1831,type,
    sK583: fun_se1909708154429037836et_nat > set_nat ).

tff(func_def_1832,type,
    sK584: fun_se1909708154429037836et_nat > set_nat ).

tff(func_def_1833,type,
    sK585: fun_se1909708154429037836et_nat > set_nat ).

tff(func_def_1834,type,
    sK586: fun_se1909708154429037836et_nat > set_nat ).

tff(func_def_1835,type,
    sK587: ( nat * list_c * c ) > c ).

tff(func_def_1836,type,
    sK588: ( nat * list_c * c ) > c ).

tff(func_def_1837,type,
    sK589: ( nat * list_d * d ) > d ).

tff(func_def_1838,type,
    sK590: ( nat * list_d * d ) > d ).

tff(pred_def_1,type,
    relH: ( set_nat * heap_e7401611519738050253t_unit * heap_e7401611519738050253t_unit ) > $o ).

tff(pred_def_2,type,
    bNF_Ca8331644756375544342r_on_o: ( set_o * set_Product_prod_o_o ) > $o ).

tff(pred_def_3,type,
    bNF_re4808202430149235895nt_int: ( fun_int_fun_int_o * fun_fu6699046866436802030_int_o * fun_in1696471567231710611nt_int * fun_in1696471567231710611nt_int ) > $o ).

tff(pred_def_4,type,
    bNF_re2486238095283335024nt_rat: ( fun_int_fun_int_o * fun_fu7677565902479959693_rat_o * fun_in1696471567231710611nt_int * fun_int_fun_int_rat ) > $o ).

tff(pred_def_5,type,
    bNF_re6830278522597306478at_int: ( fun_nat_fun_nat_o * fun_Pr4738963024209204295_int_o * fun_na1476630412504255114at_nat * fun_nat_int ) > $o ).

tff(pred_def_6,type,
    bNF_re1448341924010609215_nat_o: ( fun_nat_fun_nat_o * fun_fu7564235448449272366at_o_o * fun_nat_fun_nat_o * fun_nat_fun_nat_o ) > $o ).

tff(pred_def_7,type,
    bNF_re4734134812813710757nt_int: ( fun_Pr9018117161326028078_int_o * fun_fu5323616038969315652_int_o * fun_Pr1308109350235310159nt_int * fun_Pr1308109350235310159nt_int ) > $o ).

tff(pred_def_8,type,
    bNF_re6323452265856231590at_rat: ( fun_Pr7537129237977221859_rat_o * fun_fu4306744791715064858_rat_o * fun_Pr1308109350235310159nt_int * fun_rat_fun_rat_rat ) > $o ).

tff(pred_def_9,type,
    bNF_re4195927319312321177_int_o: ( fun_Pr4738963024209204295_int_o * fun_fu9090758901314268781nt_o_o * fun_Pr2028404973800837934_nat_o * fun_int_fun_int_o ) > $o ).

tff(pred_def_10,type,
    bNF_re8869769828555196650nt_int: ( fun_Pr4738963024209204295_int_o * fun_fu4638078822479986034_int_o * fun_Pr2477239776880934807at_nat * fun_int_fun_int_int ) > $o ).

tff(pred_def_11,type,
    bNF_re4103222659376994899_nat_o: ( fun_Pr2028404973800837934_nat_o * fun_fu9045186299510176150at_o_o * fun_Pr2028404973800837934_nat_o * fun_Pr2028404973800837934_nat_o ) > $o ).

tff(pred_def_12,type,
    bNF_re6214786843070381989at_nat: ( fun_Pr2028404973800837934_nat_o * fun_fu3373238862511017284_nat_o * fun_Pr2477239776880934807at_nat * fun_Pr2477239776880934807at_nat ) > $o ).

tff(pred_def_13,type,
    eucl_rel_int: ( int * int * product_prod_int_int ) > $o ).

tff(pred_def_14,type,
    unique5706413561485394159nteger: produc8923325533196201883nteger > $o ).

tff(pred_def_15,type,
    unique6319869463603278526ux_int: product_prod_int_int > $o ).

tff(pred_def_16,type,
    eventually_nat: ( fun_nat_o * filter_nat ) > $o ).

tff(pred_def_17,type,
    eventu1038000079068216329at_nat: ( fun_Pr4796943543331071514_nat_o * filter1242075044329608583at_nat ) > $o ).

tff(pred_def_18,type,
    filterlim_nat_nat: ( fun_nat_nat * filter_nat * filter_nat ) > $o ).

tff(pred_def_19,type,
    filter3212408913953519116et_nat: ( fun_nat_set_nat * filter_set_nat * filter_nat ) > $o ).

tff(pred_def_20,type,
    frequently_nat: ( fun_nat_o * filter_nat ) > $o ).

tff(pred_def_21,type,
    finite6017078050557962740nteger: set_Code_integer > $o ).

tff(pred_def_22,type,
    finite_finite_nat: set_nat > $o ).

tff(pred_def_23,type,
    strict1292158309912662752at_nat: ( fun_nat_nat * set_nat ) > $o ).

tff(pred_def_24,type,
    fun_re7357418987779152907at_nat: produc4193628355235574503at_nat > $o ).

tff(pred_def_25,type,
    fun_re2478310338295953701at_nat: produc1319942482725812455at_nat > $o ).

tff(pred_def_26,type,
    hoare_8945653483474564448t_unit: ( assn * heap_T5738788834812785303t_unit * fun_Pr6626665806141890376t_assn ) > $o ).

tff(pred_def_27,type,
    semila1623282765462674594er_nat: ( fun_nat_fun_nat_nat * nat * fun_nat_fun_nat_o * fun_nat_fun_nat_o ) > $o ).

tff(pred_def_28,type,
    distinct_o: list_o > $o ).

tff(pred_def_29,type,
    distin1543349897113766820nteger: list_Code_integer > $o ).

tff(pred_def_30,type,
    distinct_num: list_num > $o ).

tff(pred_def_31,type,
    distin3744728255968310194nt_int: list_P5707943133018811711nt_int > $o ).

tff(pred_def_32,type,
    distin7922579275477506902nt_nat: list_P8198026277950538467nt_nat > $o ).

tff(pred_def_33,type,
    distin2745374544067255638at_int: list_P3521021558325789923at_int > $o ).

tff(pred_def_34,type,
    distin6923225563576452346at_nat: list_P6011104703257516679at_nat > $o ).

tff(pred_def_35,type,
    distin5355857245021852384at_nat: list_P5464809261938338413at_nat > $o ).

tff(pred_def_36,type,
    distin5946428428426350056_nat_o: list_f5222602229612168821_nat_o > $o ).

tff(pred_def_37,type,
    list_e7689525607045846085at_nat: ( fun_Pr4796943543331071514_nat_o * list_P6011104703257516679at_nat ) > $o ).

tff(pred_def_38,type,
    list_e5181628221095382443at_nat: ( fun_Pr3059359313727237556_nat_o * list_P5464809261938338413at_nat ) > $o ).

tff(pred_def_39,type,
    list_e1794423268084018227_nat_o: ( fun_fu5135969500543783852at_o_o * list_f5222602229612168821_nat_o ) > $o ).

tff(pred_def_40,type,
    sorted710888440204495920nteger: ( fun_Co2081214437782444048eger_o * list_Code_integer ) > $o ).

tff(pred_def_41,type,
    sorted_wrt_num: ( fun_num_fun_num_o * list_num ) > $o ).

tff(pred_def_42,type,
    sorted5214655850825725294at_nat: ( fun_Pr2028404973800837934_nat_o * list_P6011104703257516679at_nat ) > $o ).

tff(pred_def_43,type,
    sorted8831241538929206612at_nat: ( fun_Pr5947183769845927726_nat_o * list_P5464809261938338413at_nat ) > $o ).

tff(pred_def_44,type,
    sorted7096994883928416860_nat_o: ( fun_fu4164567611050918574at_o_o * list_f5222602229612168821_nat_o ) > $o ).

tff(pred_def_45,type,
    biject3388518990857851981at_nat: set_Pr4329608150637261639at_nat > $o ).

tff(pred_def_46,type,
    biject9165800892491502059nt_int: set_Pr4166680992137330533nt_int > $o ).

tff(pred_def_47,type,
    biject6040901034283248210nteger: set_Pr3486312109254157132nteger > $o ).

tff(pred_def_48,type,
    biject6574446902887564708et_nat: set_Pr1312406793078187350et_nat > $o ).

tff(pred_def_49,type,
    biject4066639966817638850et_nat: set_Pr4040394263813967220et_nat > $o ).

tff(pred_def_50,type,
    biject1579208791189821119nt_int: set_Pr6700895561065273913nt_int > $o ).

tff(pred_def_51,type,
    pw_leq: ( multis2468970476368604999at_nat * multis2468970476368604999at_nat ) > $o ).

tff(pred_def_52,type,
    ord_le5570908160329646204atural: ( code_natural * code_natural ) > $o ).

tff(pred_def_53,type,
    ord_less_filter_nat: ( filter_nat * filter_nat ) > $o ).

tff(pred_def_54,type,
    ord_less_set_o: ( set_o * set_o ) > $o ).

tff(pred_def_55,type,
    ord_less_set_int: ( set_int * set_int ) > $o ).

tff(pred_def_56,type,
    ord_less_set_nat: ( set_nat * set_nat ) > $o ).

tff(pred_def_57,type,
    ord_le2604355607129572851at_nat: ( set_Pr4329608150637261639at_nat * set_Pr4329608150637261639at_nat ) > $o ).

tff(pred_def_58,type,
    ord_le1274849205035319547_nat_o: ( set_fu3555266933746557007_nat_o * set_fu3555266933746557007_nat_o ) > $o ).

tff(pred_def_59,type,
    ord_le1926595141338095240atural: ( code_natural * code_natural ) > $o ).

tff(pred_def_60,type,
    ord_le2510731241096832064er_nat: ( filter_nat * filter_nat ) > $o ).

tff(pred_def_61,type,
    ord_less_eq_set_o: ( set_o * set_o ) > $o ).

tff(pred_def_62,type,
    ord_less_eq_set_int: ( set_int * set_int ) > $o ).

tff(pred_def_63,type,
    ord_less_eq_set_nat: ( set_nat * set_nat ) > $o ).

tff(pred_def_64,type,
    ord_le192195778054999463od_o_o: ( set_Product_prod_o_o * set_Product_prod_o_o ) > $o ).

tff(pred_def_65,type,
    ord_le171416862856029873n_assn: ( set_Pr5949110396991348497n_assn * set_Pr5949110396991348497n_assn ) > $o ).

tff(pred_def_66,type,
    ord_le1268244103169919719at_nat: ( set_Pr4329608150637261639at_nat * set_Pr4329608150637261639at_nat ) > $o ).

tff(pred_def_67,type,
    ord_le3197784583289274309nt_int: ( set_Pr4166680992137330533nt_int * set_Pr4166680992137330533nt_int ) > $o ).

tff(pred_def_68,type,
    ord_le2932375828722672556nteger: ( set_Pr3486312109254157132nteger * set_Pr3486312109254157132nteger ) > $o ).

tff(pred_def_69,type,
    ord_le3919382008627836342et_nat: ( set_Pr1312406793078187350et_nat * set_Pr1312406793078187350et_nat ) > $o ).

tff(pred_def_70,type,
    ord_le5189643068899110356et_nat: ( set_Pr4040394263813967220et_nat * set_Pr4040394263813967220et_nat ) > $o ).

tff(pred_def_71,type,
    ord_le3990897393281686169nt_int: ( set_Pr6700895561065273913nt_int * set_Pr6700895561065273913nt_int ) > $o ).

tff(pred_def_72,type,
    ord_le5394272759557949423_nat_o: ( set_fu3555266933746557007_nat_o * set_fu3555266933746557007_nat_o ) > $o ).

tff(pred_def_73,type,
    ord_less_eq_set_c: ( set_c * set_c ) > $o ).

tff(pred_def_74,type,
    ord_less_eq_set_d: ( set_d * set_d ) > $o ).

tff(pred_def_75,type,
    order_mono_nat_nat: fun_nat_nat > $o ).

tff(pred_def_76,type,
    total_on_o: ( set_o * set_Product_prod_o_o ) > $o ).

tff(pred_def_77,type,
    total_on_int: ( set_int * set_Pr958786334691620121nt_int ) > $o ).

tff(pred_def_78,type,
    total_3592101749530773125at_nat: ( set_Pr1261947904930325089at_nat * set_Pr8693737435421807431at_nat ) > $o ).

tff(pred_def_79,type,
    total_1513685709984341995at_nat: ( set_Pr4329608150637261639at_nat * set_Pr5564308138774400199at_nat ) > $o ).

tff(pred_def_80,type,
    total_7212417256332265445at_nat: ( set_se7855581050983116737at_nat * set_Pr4329608150637261639at_nat ) > $o ).

tff(pred_def_81,type,
    total_3645986146778848883_nat_o: ( set_fu3555266933746557007_nat_o * set_Pr2890355626087285447_nat_o ) > $o ).

tff(pred_def_82,type,
    is_empty_o: set_o > $o ).

tff(pred_def_83,type,
    is_empty_int: set_int > $o ).

tff(pred_def_84,type,
    is_empty_nat: set_nat > $o ).

tff(pred_def_85,type,
    is_emp7749065762491207043n_assn: set_Pr5949110396991348497n_assn > $o ).

tff(pred_def_86,type,
    is_emp7572232645145209145at_nat: set_Pr4329608150637261639at_nat > $o ).

tff(pred_def_87,type,
    is_singleton_o: set_o > $o ).

tff(pred_def_88,type,
    is_singleton_int: set_int > $o ).

tff(pred_def_89,type,
    is_singleton_nat: set_nat > $o ).

tff(pred_def_90,type,
    is_sin2937591304547752795at_nat: set_Pr4329608150637261639at_nat > $o ).

tff(pred_def_91,type,
    is_sin624665226112233955_nat_o: set_fu3555266933746557007_nat_o > $o ).

tff(pred_def_92,type,
    pairwise_o: ( fun_o_fun_o_o * set_o ) > $o ).

tff(pred_def_93,type,
    pairwise_int: ( fun_int_fun_int_o * set_int ) > $o ).

tff(pred_def_94,type,
    pairwise_nat: ( fun_nat_fun_nat_o * set_nat ) > $o ).

tff(pred_def_95,type,
    pairwi3222497012029234898at_nat: ( fun_Pr5947183769845927726_nat_o * set_Pr4329608150637261639at_nat ) > $o ).

tff(pred_def_96,type,
    pairwi7285160467931473626_nat_o: ( fun_fu4164567611050918574at_o_o * set_fu3555266933746557007_nat_o ) > $o ).

tff(pred_def_97,type,
    the_elem_o: set_o > $o ).

tff(pred_def_98,type,
    type_d5492019815722432281_nat_o: ( fun_as3747249873083764768_nat_o * fun_fu3790787410453625514o_assn * set_fu3555266933746557007_nat_o ) > $o ).

tff(pred_def_99,type,
    accp_P8126237942716283194atural: ( fun_Pr3592279944642289454ural_o * produc7822875418678951345atural ) > $o ).

tff(pred_def_100,type,
    accp_P1096762738010456898nt_int: ( fun_Pr9018117161326028078_int_o * product_prod_int_int ) > $o ).

tff(pred_def_101,type,
    aa_o_o: ( fun_o_o * $o ) > $o ).

tff(pred_def_102,type,
    aa_assn_o: ( fun_assn_o * assn ) > $o ).

tff(pred_def_103,type,
    aa_Code_integer_o: ( fun_Code_integer_o * code_integer ) > $o ).

tff(pred_def_104,type,
    aa_int_o: ( fun_int_o * int ) > $o ).

tff(pred_def_105,type,
    aa_list_int_o: ( fun_list_int_o * list_int ) > $o ).

tff(pred_def_106,type,
    aa_list_nat_o: ( fun_list_nat_o * list_nat ) > $o ).

tff(pred_def_107,type,
    aa_lis1404944545740551261assn_o: ( fun_li2812663585457640420assn_o * list_P8527749157015355191n_assn ) > $o ).

tff(pred_def_108,type,
    aa_list_c_o: ( fun_list_c_o * list_c ) > $o ).

tff(pred_def_109,type,
    aa_list_d_o: ( fun_list_d_o * list_d ) > $o ).

tff(pred_def_110,type,
    aa_nat_o: ( fun_nat_o * nat ) > $o ).

tff(pred_def_111,type,
    aa_num_o: ( fun_num_o * num ) > $o ).

tff(pred_def_112,type,
    aa_Pro2491721552408928739assn_o: ( fun_Pr3571187171380813162assn_o * produc6575502325842934193n_assn ) > $o ).

tff(pred_def_113,type,
    aa_Pro4926521453222654329eger_o: ( fun_Pr7211993375558241536eger_o * produc8923325533196201883nteger ) > $o ).

tff(pred_def_114,type,
    aa_Pro653082453696054616_nat_o: ( fun_Pr6460944699146269935_nat_o * produc3658429121746597890et_nat ) > $o ).

tff(pred_def_115,type,
    aa_Pro4592068669816069595_int_o: ( fun_Pr3238374608701176162_int_o * product_prod_int_int ) > $o ).

tff(pred_def_116,type,
    aa_Pro6150637604445964947_nat_o: ( fun_Pr4796943543331071514_nat_o * product_prod_nat_nat ) > $o ).

tff(pred_def_117,type,
    aa_Pro5947980084102686253_nat_o: ( fun_Pr3059359313727237556_nat_o * produc3843707927480180839at_nat ) > $o ).

tff(pred_def_118,type,
    aa_Pro5451197003417746155_int_o: ( fun_Pr1196100989263358594_int_o * produc4788131091073775919nt_int ) > $o ).

tff(pred_def_119,type,
    aa_Pro4148064003102580676eger_o: ( fun_Pr7015759342434529115eger_o * produc2453742332425399446nteger ) > $o ).

tff(pred_def_120,type,
    aa_Pro5643009357358181178_nat_o: ( fun_Pr2620521676128474833_nat_o * produc8799533983703829792et_nat ) > $o ).

tff(pred_def_121,type,
    aa_Pro2671238023309943196_nat_o: ( fun_Pr1227177680593602867_nat_o * produc3112576180687729086et_nat ) > $o ).

tff(pred_def_122,type,
    aa_Pro2601676399929874711_int_o: ( fun_Pr3540825087398332590_int_o * produc3043004577601930755nt_int ) > $o ).

tff(pred_def_123,type,
    aa_rat_o: ( fun_rat_o * rat ) > $o ).

tff(pred_def_124,type,
    aa_set3702741264012733747_nat_o: ( fun_se4782206882984618170_nat_o * set_Pr1261947904930325089at_nat ) > $o ).

tff(pred_def_125,type,
    aa_fun_int_int_o: ( fun_fun_int_int_o * fun_int_int ) > $o ).

tff(pred_def_126,type,
    aa_fun1675921005893230629at_o_o: ( fun_fu5135969500543783852at_o_o * fun_Pr6460944699146269935_nat_o ) > $o ).

tff(pred_def_127,type,
    aa_fun2650603632653508759_int_o: ( fun_fu7503566767892366382_int_o * fun_Pr2478283820680522243nt_int ) > $o ).

tff(pred_def_128,type,
    aa_fun3538214411680374423_nat_o: ( fun_fu8391177546919232046_nat_o * fun_Pr2118491707810114563at_nat ) > $o ).

tff(pred_def_129,type,
    aa_fun_rat_rat_o: ( fun_fun_rat_rat_o * fun_rat_rat ) > $o ).

tff(pred_def_130,type,
    aa_c_o: ( fun_c_o * c ) > $o ).

tff(pred_def_131,type,
    aa_d_o: ( fun_d_o * d ) > $o ).

tff(pred_def_132,type,
    member_o: ( $o * set_o ) > $o ).

tff(pred_def_133,type,
    member_assn: ( assn * set_assn ) > $o ).

tff(pred_def_134,type,
    member_Code_integer: ( code_integer * set_Code_integer ) > $o ).

tff(pred_def_135,type,
    member_int: ( int * set_int ) > $o ).

tff(pred_def_136,type,
    member_nat: ( nat * set_nat ) > $o ).

tff(pred_def_137,type,
    member_num: ( num * set_num ) > $o ).

tff(pred_def_138,type,
    member7466972457876170832od_o_o: ( product_prod_o_o * set_Product_prod_o_o ) > $o ).

tff(pred_def_139,type,
    member7957490590177025114n_assn: ( produc6575502325842934193n_assn * set_Pr5949110396991348497n_assn ) > $o ).

tff(pred_def_140,type,
    member157494554546826820nteger: ( produc8923325533196201883nteger * set_Pr4811707699266497531nteger ) > $o ).

tff(pred_def_141,type,
    member6260224972018164377et_nat: ( produc3658429121746597890et_nat * set_Pr3948176798113811640et_nat ) > $o ).

tff(pred_def_142,type,
    member5262025264175285858nt_int: ( product_prod_int_int * set_Pr958786334691620121nt_int ) > $o ).

tff(pred_def_143,type,
    member216504246829706758nt_nat: ( product_prod_int_nat * set_Pr3448869479623346877nt_nat ) > $o ).

tff(pred_def_144,type,
    member241480614033477777n_assn: ( produc3167338625816234618n_assn * set_Pr3255386646789011632n_assn ) > $o ).

tff(pred_def_145,type,
    member5261114234888836065at_nat: ( produc1062882101152166346at_nat * set_Pr6620829329807565824at_nat ) > $o ).

tff(pred_def_146,type,
    member6698963635872716290st_int: ( produc1186641810826059865st_int * set_Pr765067013931698361st_int ) > $o ).

tff(pred_def_147,type,
    member9189046780804443046st_nat: ( produc3676724955757786621st_nat * set_Pr5578615432719617117st_nat ) > $o ).

tff(pred_def_148,type,
    member490958779117458567n_assn: ( produc8582807064127716720n_assn * set_Pr4168565316758867366n_assn ) > $o ).

tff(pred_def_149,type,
    member4850886304473975718st_int: ( produc8561936516282095101st_int * set_Pr7861072320784411741st_int ) > $o ).

tff(pred_def_150,type,
    member7340969449405702474st_nat: ( produc1828647624359046049st_nat * set_Pr3451248702717554689st_nat ) > $o ).

tff(pred_def_151,type,
    member3687432546746012131n_assn: ( produc2555908794901494476n_assn * set_Pr7093487733527993602n_assn ) > $o ).

tff(pred_def_152,type,
    member6074218473364765234list_c: ( produc1655478831073744795list_c * set_Pr2380792130361903057list_c ) > $o ).

tff(pred_def_153,type,
    member6145252513411111219list_d: ( produc1726512871120090780list_d * set_Pr9082979648927643218list_d ) > $o ).

tff(pred_def_154,type,
    member5295696281703116473st_int: ( produc4164172529858598818st_int * set_Pr4898238009683259096st_int ) > $o ).

tff(pred_def_155,type,
    member7785779426634843229st_nat: ( produc6654255674790325574st_nat * set_Pr488414391616402044st_nat ) > $o ).

tff(pred_def_156,type,
    member3994142547374651152n_assn: ( produc337509097454979815n_assn * set_Pr6863447823992824007n_assn ) > $o ).

tff(pred_def_157,type,
    member4080735728053443344at_nat: ( produc424102278133772007at_nat * set_Pr4333006031979791559at_nat ) > $o ).

tff(pred_def_158,type,
    member3694854580982123912st_int: ( produc8499486975545879281st_int * set_Pr1946635486513090599st_int ) > $o ).

tff(pred_def_159,type,
    member6184937725913850668st_nat: ( produc1766198083622830229st_nat * set_Pr6760183905301009355st_nat ) > $o ).

tff(pred_def_160,type,
    member7012247553653173456list_c: ( produc7985223085803476903list_c * set_Pr2058341694840537735list_c ) > $o ).

tff(pred_def_161,type,
    member7083281593699519441list_d: ( produc8056257125849822888list_d * set_Pr8760529213406277896list_d ) > $o ).

tff(pred_def_162,type,
    member4361754056522032265st_int: ( produc9166386451085787634st_int * set_Pr7415257249380972200st_int ) > $o ).

tff(pred_def_163,type,
    member6851837201453759021st_nat: ( produc2433097559162738582st_nat * set_Pr3005433631314115148st_nat ) > $o ).

tff(pred_def_164,type,
    member1739767152416986127list_c: ( produc2712742684567289574list_c * set_Pr8195957489705318982list_c ) > $o ).

tff(pred_def_165,type,
    member1810801192463332112list_d: ( produc2783776724613635559list_d * set_Pr5674772971416283335list_d ) > $o ).

tff(pred_def_166,type,
    member6689249552917799696at_nat: ( produc4166570645942440679at_nat * set_Pr8551490117392284871at_nat ) > $o ).

tff(pred_def_167,type,
    member4262671552274231302at_int: ( product_prod_nat_int * set_Pr7995236796853374141at_int ) > $o ).

tff(pred_def_168,type,
    member7704815987135142381n_assn: ( produc1407301962063123414n_assn * set_Pr247834672394327052n_assn ) > $o ).

tff(pred_def_169,type,
    member2223272150424702269at_nat: ( produc7248412053542808358at_nat * set_Pr7717912310451564380at_nat ) > $o ).

tff(pred_def_170,type,
    member8962352060716553276_nat_c: ( product_prod_nat_c * set_Pr4335409928928841947_nat_c ) > $o ).

tff(pred_def_171,type,
    member8962352065019782077_nat_d: ( product_prod_nat_d * set_Pr4406443968975187932_nat_d ) > $o ).

tff(pred_def_172,type,
    member5792320502188913699sn_int: ( produc8718178513971670540sn_int * set_Pr2181989527757714242sn_int ) > $o ).

tff(pred_def_173,type,
    member746799484843334599sn_nat: ( produc3672657496626091440sn_nat * set_Pr4672072672689440998sn_nat ) > $o ).

tff(pred_def_174,type,
    member4743710847862083984n_assn: ( produc9053633027152450663n_assn * set_Pr8116311503512020807n_assn ) > $o ).

tff(pred_def_175,type,
    member8394280151737582451at_int: ( produc4196048018000912732at_int * set_Pr49084382684228242at_int ) > $o ).

tff(pred_def_176,type,
    member3348759134392003351at_nat: ( produc8373899037510109440at_nat * set_Pr2539167527615954998at_nat ) > $o ).

tff(pred_def_177,type,
    member8206827879206165904at_nat: ( produc859450856879609959at_nat * set_Pr8693737435421807431at_nat ) > $o ).

tff(pred_def_178,type,
    member6009668390874684176at_nat: ( produc1906917888121415911at_nat * set_Pr5564308138774400199at_nat ) > $o ).

tff(pred_def_179,type,
    member9155761383210387176nt_int: ( produc3192696172498486335nt_int * set_Pr3703873761940759199nt_int ) > $o ).

tff(pred_def_180,type,
    member5045372342328489014nteger: ( produc7379341420752632205nteger * set_Pr6949033248718891245nteger ) > $o ).

tff(pred_def_181,type,
    member2216856746449346506et_nat: ( produc8893060842726229537et_nat * set_Pr9066344408807579265et_nat ) > $o ).

tff(pred_def_182,type,
    member2136425100634443654et_nat: ( produc505541996239113949et_nat * set_Pr7057080801110549565et_nat ) > $o ).

tff(pred_def_183,type,
    member8789097660028509840nt_int: ( produc881187336974765031nt_int * set_Pr3767905878465553991nt_int ) > $o ).

tff(pred_def_184,type,
    member444158400953824016od_o_o: ( produc2934264451710624999od_o_o * set_Pr1932065953672099015od_o_o ) > $o ).

tff(pred_def_185,type,
    member4095101504841534314at_nat: ( produc732395585841259969at_nat * set_Pr457366540195662369at_nat ) > $o ).

tff(pred_def_186,type,
    member8757157785044589968at_nat: ( produc3843707927480180839at_nat * set_Pr4329608150637261639at_nat ) > $o ).

tff(pred_def_187,type,
    member5890090881338784710nt_int: ( produc4788131091073775919nt_int * set_Pr4166680992137330533nt_int ) > $o ).

tff(pred_def_188,type,
    member8978266922497061677nteger: ( produc2453742332425399446nteger * set_Pr3486312109254157132nteger ) > $o ).

tff(pred_def_189,type,
    member4513763875858039863et_nat: ( produc8799533983703829792et_nat * set_Pr1312406793078187350et_nat ) > $o ).

tff(pred_def_190,type,
    member9174161442226468181et_nat: ( produc3112576180687729086et_nat * set_Pr4040394263813967220et_nat ) > $o ).

tff(pred_def_191,type,
    member3012145478770660624_nat_o: ( produc6671579610312156647_nat_o * set_Pr2890355626087285447_nat_o ) > $o ).

tff(pred_def_192,type,
    member753276645541486746nt_int: ( produc3043004577601930755nt_int * set_Pr6700895561065273913nt_int ) > $o ).

tff(pred_def_193,type,
    member4017226226790010994_c_int: ( product_prod_c_int * set_Pr4413417460947882513_c_int ) > $o ).

tff(pred_def_194,type,
    member8195077246299207702_c_nat: ( product_prod_c_nat * set_Pr6903500605879609269_c_nat ) > $o ).

tff(pred_def_195,type,
    member5074992359041316560od_c_c: ( product_prod_c_c * set_Product_prod_c_c ) > $o ).

tff(pred_def_196,type,
    member5074992363344545361od_c_d: ( product_prod_c_d * set_Product_prod_c_d ) > $o ).

tff(pred_def_197,type,
    member5252670555746405491_d_int: ( product_prod_d_int * set_Pr786264039281237394_d_int ) > $o ).

tff(pred_def_198,type,
    member207149538400826391_d_nat: ( product_prod_d_nat * set_Pr3276347184212964150_d_nat ) > $o ).

tff(pred_def_199,type,
    member2287536777068640527od_d_c: ( product_prod_d_c * set_Product_prod_d_c ) > $o ).

tff(pred_def_200,type,
    member2287536781371869328od_d_d: ( product_prod_d_d * set_Product_prod_d_d ) > $o ).

tff(pred_def_201,type,
    member2643936169264416010at_nat: ( set_Pr1261947904930325089at_nat * set_se7855581050983116737at_nat ) > $o ).

tff(pred_def_202,type,
    member4871225538671630166e_term: ( fun_in5730379987311621695e_term * set_fu3629540756087427317e_term ) > $o ).

tff(pred_def_203,type,
    member8464590939221061905e_term: ( fun_Pr5098669352780829690e_term * set_fu8280898353253485872e_term ) > $o ).

tff(pred_def_204,type,
    member7544390268018397336_nat_o: ( fun_Pr6460944699146269935_nat_o * set_fu3555266933746557007_nat_o ) > $o ).

tff(pred_def_205,type,
    member1495369047980753794e_term: ( fun_Pr7763680713840462443e_term * set_fu5653557704672872225e_term ) > $o ).

tff(pred_def_206,type,
    member_c: ( c * set_c ) > $o ).

tff(pred_def_207,type,
    member_d: ( d * set_d ) > $o ).

tff(pred_def_208,type,
    ':=': 
      !>[X0: $tType] : ( ( X0 * X0 ) > $o ) ).

tff(pred_def_209,type,
    iG69: ( $o * $o * set_o * set_o ) > $o ).

tff(pred_def_210,type,
    iG74: ( produc3843707927480180839at_nat * produc3843707927480180839at_nat * set_Pr4329608150637261639at_nat * set_Pr4329608150637261639at_nat ) > $o ).

tff(pred_def_211,type,
    iG75: ( product_prod_nat_nat * product_prod_nat_nat * set_Pr1261947904930325089at_nat * set_Pr1261947904930325089at_nat ) > $o ).

tff(pred_def_212,type,
    iG76: ( nat * nat * set_nat * set_nat ) > $o ).

tff(pred_def_213,type,
    iG77: ( int * int * set_int * set_int ) > $o ).

tff(pred_def_214,type,
    iG78: ( fun_Pr6460944699146269935_nat_o * fun_Pr6460944699146269935_nat_o * set_fu3555266933746557007_nat_o * set_fu3555266933746557007_nat_o ) > $o ).

tff(pred_def_215,type,
    iG169: ( set_fu3555266933746557007_nat_o * fun_Pr6460944699146269935_nat_o * set_fu3555266933746557007_nat_o ) > $o ).

tff(pred_def_216,type,
    iG170: ( set_fu3555266933746557007_nat_o * fun_Pr6460944699146269935_nat_o * set_fu3555266933746557007_nat_o ) > $o ).

tff(pred_def_217,type,
    iG171: ( set_Pr4329608150637261639at_nat * produc3843707927480180839at_nat * set_Pr4329608150637261639at_nat ) > $o ).

tff(pred_def_218,type,
    iG172: ( set_Pr4329608150637261639at_nat * produc3843707927480180839at_nat * set_Pr4329608150637261639at_nat ) > $o ).

tff(pred_def_219,type,
    iG173: ( set_Pr1261947904930325089at_nat * product_prod_nat_nat * set_Pr1261947904930325089at_nat ) > $o ).

tff(pred_def_220,type,
    iG174: ( set_Pr1261947904930325089at_nat * product_prod_nat_nat * set_Pr1261947904930325089at_nat ) > $o ).

tff(pred_def_221,type,
    iG178: ( set_o * $o * set_o ) > $o ).

tff(pred_def_222,type,
    iG179: ( set_o * $o * set_o ) > $o ).

tff(pred_def_223,type,
    iG181: ( set_int * int * set_int ) > $o ).

tff(pred_def_224,type,
    iG182: ( set_int * int * set_int ) > $o ).

tff(pred_def_225,type,
    iG183: ( set_nat * nat * set_nat ) > $o ).

tff(pred_def_226,type,
    iG184: ( set_nat * nat * set_nat ) > $o ).

tff(pred_def_227,type,
    iG228: ( set_fu3555266933746557007_nat_o * fun_Pr6460944699146269935_nat_o * set_fu3555266933746557007_nat_o ) > $o ).

tff(pred_def_228,type,
    iG229: ( set_Pr4329608150637261639at_nat * produc3843707927480180839at_nat * set_Pr4329608150637261639at_nat ) > $o ).

tff(pred_def_229,type,
    iG230: ( set_Pr1261947904930325089at_nat * product_prod_nat_nat * set_Pr1261947904930325089at_nat ) > $o ).

tff(pred_def_230,type,
    iG233: ( set_o * $o * set_o ) > $o ).

tff(pred_def_231,type,
    iG235: ( set_int * int * set_int ) > $o ).

tff(pred_def_232,type,
    iG236: ( set_nat * nat * set_nat ) > $o ).

tff(pred_def_233,type,
    iG381: ( int * int * int ) > $o ).

tff(pred_def_234,type,
    iG382: ( int * int * int ) > $o ).

tff(pred_def_235,type,
    sP471: ( set_nat * set_nat * nat ) > $o ).

tff(pred_def_236,type,
    sP472: ( set_nat * set_nat * nat ) > $o ).

tff(pred_def_237,type,
    sP591: assn > $o ).

tff(pred_def_238,type,
    sP592: assn > $o ).

tff(pred_def_239,type,
    sP593: set_nat > $o ).

tff(pred_def_240,type,
    sP594: set_nat > $o ).

tff(f2,axiom,
    aa_assn_o(aa_assn_fun_assn_o(entails,p),bot_bot_assn),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1__092_060open_062P_A_092_060Longrightarrow_062_092_060_094sub_062A_Afalse_092_060close_062) ).

tff(f6,axiom,
    ! [X0: assn,X1: assn,X2: assn] :
      ( aa_assn_o(aa_assn_fun_assn_o(entails,X0),X1)
     => ( aa_assn_o(aa_assn_fun_assn_o(entails,X1),X2)
       => aa_assn_o(aa_assn_fun_assn_o(entails,X0),X2) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_5_ent__trans) ).

tff(f8,axiom,
    ! [X0: assn] : aa_assn_o(aa_assn_fun_assn_o(entails,bot_bot_assn),X0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_7_ent__false) ).

tff(f5836,conjecture,
    aa_assn_o(aa_assn_fun_assn_o(entails,p),q),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0) ).

tff(f5837,negated_conjecture,
    ~ aa_assn_o(aa_assn_fun_assn_o(entails,p),q),
    inference(negated_conjecture,[status(cth)],[f5836]) ).

tff(f6797,plain,
    ~ aa_assn_o(aa_assn_fun_assn_o(entails,p),q),
    inference(flattening,[],[f5837]) ).

tff(f6840,plain,
    ! [X0: assn,X1: assn,X2: assn] :
      ( aa_assn_o(aa_assn_fun_assn_o(entails,X0),X2)
      | ~ aa_assn_o(aa_assn_fun_assn_o(entails,X1),X2)
      | ~ aa_assn_o(aa_assn_fun_assn_o(entails,X0),X1) ),
    inference(ennf_transformation,[],[f6]) ).

tff(f6841,plain,
    ! [X0: assn,X1: assn,X2: assn] :
      ( aa_assn_o(aa_assn_fun_assn_o(entails,X0),X2)
      | ~ aa_assn_o(aa_assn_fun_assn_o(entails,X1),X2)
      | ~ aa_assn_o(aa_assn_fun_assn_o(entails,X0),X1) ),
    inference(flattening,[],[f6840]) ).

tff(f7492,plain,
    ~ aa_assn_o(aa_assn_fun_assn_o(entails,p),q),
    inference(cnf_transformation,[],[f6797]) ).

tff(f7529,plain,
    ! [X0: assn] : aa_assn_o(aa_assn_fun_assn_o(entails,bot_bot_assn),X0),
    inference(cnf_transformation,[],[f8]) ).

tff(f7531,plain,
    ! [X2: assn,X0: assn,X1: assn] :
      ( aa_assn_o(aa_assn_fun_assn_o(entails,X0),X2)
      | ~ aa_assn_o(aa_assn_fun_assn_o(entails,X1),X2)
      | ~ aa_assn_o(aa_assn_fun_assn_o(entails,X0),X1) ),
    inference(cnf_transformation,[],[f6841]) ).

tff(f7759,plain,
    aa_assn_o(aa_assn_fun_assn_o(entails,p),bot_bot_assn),
    inference(cnf_transformation,[],[f2]) ).

tff(f8636,plain,
    ! [X0: assn] :
      ( ~ aa_assn_o(aa_assn_fun_assn_o(entails,p),X0)
      | ~ aa_assn_o(aa_assn_fun_assn_o(entails,X0),q) ),
    inference(resolution,[],[f7492,f7531]) ).

tff(f8639,plain,
    ~ aa_assn_o(aa_assn_fun_assn_o(entails,bot_bot_assn),q),
    inference(resolution,[],[f8636,f7759]) ).

tff(f8654,plain,
    $false,
    inference(forward_subsumption_resolution,[],[f8639,f7529]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : ITP219_3 : TPTP v9.3.1. Released v8.0.0.
% 0.00/0.05  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.41  % Computer : n020.cluster.edu
% 0.10/0.41  % Model    : x86_64 x86_64
% 0.10/0.41  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.41  % Memory   : 8046.5625MB
% 0.10/0.41  % OS       : Linux 6.8.0-71-generic
% 0.10/0.42  % CPULimit : 300
% 0.10/0.42  % WCLimit  : 300
% 0.10/0.42  % DateTime : Sun Sep 27 12:27:34 UTC 2026
% 0.10/0.42  % CPUTime  : 
% 0.10/0.42  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.15/0.46  Running first-order theorem proving
% 0.15/0.46  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
% 6.92/2.22  % (3307283)Detected formulas, will run a generic FOF schedule.
% 6.92/2.22  % (3307313)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=332375436:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2996 on theBenchmark for (2996ds/134677Mi)
% 6.92/2.22  % (3307318)dis-21_1_sil=8000:lcm=predicate:random_seed=2551568637:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2996 on theBenchmark for (2996ds/129Mi)
% 6.92/2.22  % (3307316)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1798297898:i=119:av=off:ss=axioms_2996 on theBenchmark for (2996ds/119Mi)
% 6.92/2.22  % (3307315)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1307675454:i=109:sd=1:ins=1:gsp=on:ss=axioms_2996 on theBenchmark for (2996ds/109Mi)
% 6.92/2.22  % (3307314)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=3578180535:i=141695:sd=1:nm=32:gsp=on:ss=included_2996 on theBenchmark for (2996ds/141695Mi)
% 6.92/2.22  % (3307312)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=329232203:i=141193_2996 on theBenchmark for (2996ds/141193Mi)
% 6.92/2.22  % (3307317)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3588520345:s2a=on:i=139:gtg=position_2996 on theBenchmark for (2996ds/139Mi)
% 6.92/2.22  % (3307315)Instruction limit reached! 
% 6.92/2.22  % (3307315)------------------------------
% 6.92/2.22  % (3307315)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.92/2.22  % (3307315)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.92/2.22  % (3307315)CaDiCaL version: 2.1.3
% 6.92/2.22  % (3307315)Termination reason: Instruction limit
% 6.92/2.22  % (3307315)Termination phase: SInE selection
% 6.92/2.22  % (3307315)Time elapsed: 0.051 s
% 6.92/2.22  % (3307315)Peak memory usage: 93 MB
% 6.92/2.22  % (3307315)Instructions burned: 110 (million)
% 6.92/2.22  % (3307316)Instruction limit reached! 
% 6.92/2.22  % (3307316)------------------------------
% 6.92/2.22  % (3307316)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.92/2.22  % (3307316)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.92/2.22  % (3307316)CaDiCaL version: 2.1.3
% 6.92/2.22  % (3307316)Termination reason: Instruction limit
% 6.92/2.22  % (3307316)Termination phase: SInE selection
% 6.92/2.22  % (3307316)Time elapsed: 0.056 s
% 6.92/2.22  % (3307316)Peak memory usage: 93 MB
% 6.92/2.22  % (3307316)Instructions burned: 120 (million)
% 6.92/2.22  % (3307318)Instruction limit reached! 
% 6.92/2.22  % (3307318)------------------------------
% 6.92/2.22  % (3307318)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.92/2.22  % (3307318)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.92/2.22  % (3307318)CaDiCaL version: 2.1.3
% 6.92/2.22  % (3307318)Termination reason: Instruction limit
% 6.92/2.22  % (3307318)Termination phase: SInE selection
% 6.92/2.22  % (3307318)Time elapsed: 0.061 s
% 6.92/2.22  % (3307318)Peak memory usage: 93 MB
% 6.92/2.22  % (3307318)Instructions burned: 129 (million)
% 6.92/2.22  % (3307317)Instruction limit reached! 
% 6.92/2.22  % (3307317)------------------------------
% 6.92/2.22  % (3307317)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.92/2.22  % (3307317)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.92/2.22  % (3307317)CaDiCaL version: 2.1.3
% 6.92/2.22  % (3307317)Termination reason: Instruction limit
% 6.92/2.22  % (3307317)Termination phase: Property scanning
% 6.92/2.22  % (3307317)Time elapsed: 0.062 s
% 6.92/2.22  % (3307317)Peak memory usage: 93 MB
% 6.92/2.22  % (3307317)Instructions burned: 141 (million)
% 6.92/2.22  % (3307326)lrs+10_1_sil=8000:sp=occurrence:random_seed=4041686822:i=285:sd=3:ss=axioms:sgt=8_2994 on theBenchmark for (2994ds/285Mi)
% 6.92/2.22  % (3307327)lrs+10_1_sil=32000:urr=on:br=off:random_seed=1918539530:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2994 on theBenchmark for (2994ds/157Mi)
% 6.92/2.22  % (3307329)dis+10_5:1_slsqr=1,4:sil=8000:fde=unused:erd=off:urr=full:fd=off:s2agt=8:br=off:slsq=on:random_seed=232368670:s2a=on:i=248:s2at=1.23:gtg=position_2994 on theBenchmark for (2994ds/248Mi)
% 6.92/2.22  % (3307328)lrs+1011_1_sil=32000:sp=occurrence:random_seed=4168739587:i=325:sd=1:ss=axioms:sgt=32_2994 on theBenchmark for (2994ds/325Mi)
% 6.92/2.22  % (3307327)Instruction limit reached! 
% 6.92/2.22  % (3307327)------------------------------
% 6.92/2.22  % (3307327)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.92/2.22  % (3307327)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.92/2.22  % (3307327)CaDiCaL version: 2.1.3
% 6.92/2.22  % (3307327)Termination reason: Instruction limit
% 6.92/2.22  % (3307327)Termination phase: Property scanning
% 6.92/2.22  % (3307327)Time elapsed: 0.067 s
% 6.92/2.22  % (3307327)Peak memory usage: 93 MB
% 6.92/2.22  % (3307327)Instructions burned: 158 (million)
% 6.92/2.22  % (3307329)Instruction limit reached! 
% 6.92/2.22  % (3307329)------------------------------
% 6.92/2.22  % (3307329)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.92/2.22  % (3307329)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.92/2.22  % (3307329)CaDiCaL version: 2.1.3
% 6.92/2.22  % (3307329)Termination reason: Instruction limit
% 6.92/2.22  % (3307329)Termination phase: Preprocessing 1
% 6.92/2.22  % (3307329)Time elapsed: 0.115 s
% 6.92/2.22  % (3307329)Peak memory usage: 93 MB
% 6.92/2.22  % (3307329)Instructions burned: 249 (million)
% 6.92/2.22  % (3307326)Instruction limit reached! 
% 6.92/2.22  % (3307326)------------------------------
% 6.92/2.22  % (3307326)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.92/2.22  % (3307326)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.92/2.22  % (3307326)CaDiCaL version: 2.1.3
% 6.92/2.22  % (3307326)Termination reason: Instruction limit
% 6.92/2.22  % (3307326)Termination phase: Saturation
% 6.92/2.22  % (3307326)Time elapsed: 0.160 s
% 6.92/2.22  % (3307326)Peak memory usage: 98 MB
% 6.92/2.22  % (3307326)Instructions burned: 286 (million)
% 6.92/2.22  % (3307328)Instruction limit reached! 
% 6.92/2.22  % (3307328)------------------------------
% 6.92/2.22  % (3307328)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.92/2.22  % (3307328)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.92/2.22  % (3307328)CaDiCaL version: 2.1.3
% 6.92/2.22  % (3307328)Termination reason: Instruction limit
% 6.92/2.22  % (3307328)Termination phase: Saturation
% 6.92/2.22  % (3307328)Time elapsed: 0.187 s
% 6.92/2.22  % (3307328)Peak memory usage: 97 MB
% 6.92/2.22  % (3307328)Instructions burned: 325 (million)
% 6.92/2.22  % (3307334)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=15268704:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2992 on theBenchmark for (2992ds/294Mi)
% 6.92/2.22  % (3307335)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=672681232:i=2350_2991 on theBenchmark for (2991ds/2350Mi)
% 6.92/2.22  % (3307336)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=20156150:cts=off:i=113:fsr=off:ss=included:sgt=4_2991 on theBenchmark for (2991ds/113Mi)
% 6.92/2.22  % (3307334)First to succeed.
% 6.92/2.22  % (3307334)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3307283"
% 6.92/2.22  % (3307337)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=2645211575:i=127:av=off:fsr=off:sup=off_2991 on theBenchmark for (2991ds/127Mi)
% 6.92/2.22  % (3307336)Instruction limit reached! 
% 6.92/2.22  % (3307336)------------------------------
% 6.92/2.22  % (3307336)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.92/2.22  % (3307336)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.92/2.22  % (3307336)CaDiCaL version: 2.1.3
% 6.92/2.22  % (3307336)Termination reason: Instruction limit
% 6.92/2.22  % (3307336)Termination phase: SInE selection
% 6.92/2.22  % (3307336)Time elapsed: 0.053 s
% 6.92/2.22  % (3307336)Peak memory usage: 93 MB
% 6.92/2.22  % (3307336)Instructions burned: 113 (million)
% 6.92/2.22  % (3307337)Instruction limit reached! 
% 6.92/2.22  % (3307337)------------------------------
% 6.92/2.22  % (3307337)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.92/2.22  % (3307337)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.92/2.22  % (3307337)CaDiCaL version: 2.1.3
% 6.92/2.22  % (3307337)Termination reason: Instruction limit
% 6.92/2.22  % (3307337)Termination phase: Preprocessing 1
% 6.92/2.22  % (3307337)Time elapsed: 0.063 s
% 6.92/2.22  % (3307337)Peak memory usage: 93 MB
% 6.92/2.22  % (3307337)Instructions burned: 128 (million)
% 6.92/2.22  % (3307343)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=154436010:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2989 on theBenchmark for (2989ds/114Mi)
% 6.92/2.22  % (3307343)Instruction limit reached! 
% 6.92/2.22  % (3307343)------------------------------
% 6.92/2.22  % (3307343)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.92/2.22  % (3307343)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.92/2.22  % (3307343)CaDiCaL version: 2.1.3
% 6.92/2.22  % (3307343)Termination reason: Instruction limit
% 6.92/2.22  % (3307343)Termination phase: Property scanning
% 6.92/2.22  % (3307343)Time elapsed: 0.026 s
% 6.92/2.22  % (3307343)Peak memory usage: 92 MB
% 6.92/2.22  % (3307343)Instructions burned: 117 (million)
% 6.92/2.22  % (3307344)lrs+10_1_sil=8000:sp=occurrence:random_seed=260170066:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2988 on theBenchmark for (2988ds/907Mi)
% 6.92/2.22  % (3307334)Refutation found. Thanks to Tanya!
% 6.92/2.22  % SZS status Theorem for theBenchmark
% 6.92/2.22  % SZS output start Proof for theBenchmark
% See solution above
% 8.04/2.42  % (3307334)------------------------------
% 8.04/2.42  % (3307334)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.04/2.42  % (3307334)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.04/2.42  % (3307334)CaDiCaL version: 2.1.3
% 8.04/2.42  % (3307334)Termination reason: Refutation
% 8.04/2.42  % (3307334)Time elapsed: 0.126 s
% 8.04/2.42  % (3307334)Peak memory usage: 98 MB
% 8.04/2.42  % (3307334)Instructions burned: 231 (million)
% 8.04/2.42  % (3307334)------------------------------
% 8.04/2.42  % (3307334)------------------------------
% 8.04/2.42  % (3307283)Success in time 1.326 s
% 8.04/2.42  % Vampire exiting
%------------------------------------------------------------------------------