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Vampire-SAT---5.0.1.CAX-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---5.0.1
% Problem  : ITP261_4 : TPTP v9.3.1. Released v8.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT

% Computer : n017.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 11:38:25 AM UTC 2026

% Result   : ContradictoryAxioms 17.29s 3.79s
% Output   : Refutation 18.56s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   12
%            Number of leaves      :    9
% Syntax   : Number of formulae    :   51 (  17 unt;   0 typ;   6 def)
%            Number of atoms       :  144 (  22 equ)
%            Maximal formula atoms :    3 (   2 avg)
%            Number of connectives :   96 (  43   ~;  38   |;   1   &)
%                                         (   8 <=>;   6  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   3 avg)
%            Maximal term depth    :    5 (   2 avg)
%            Number of FOOLs       :   64 (  50 fml;  14 var)
%            Number of types       :   14 (  13 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of predicates  : 1778 (1775 usr;   8 prp; 0-9 aty)
%            Number of functors    : 4594 (4594 usr; 213 con; 0-10 aty)
%            Number of variables   :   36 (   0 sgn  33   !;   3   ?;  36   :)

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

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

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

tff(type_def_8,type,
    product_prod: ( $tType * $tType ) > $tType ).

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

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

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

tff(type_def_12,type,
    sum_sum: ( $tType * $tType ) > $tType ).

tff(type_def_13,type,
    option: $tType > $tType ).

tff(type_def_14,type,
    filter: $tType > $tType ).

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

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

tff(type_def_17,type,
    list: $tType > $tType ).

tff(type_def_18,type,
    set: $tType > $tType ).

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

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

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

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

tff(type_def_23,type,
    itself: $tType > $tType ).

tff(type_def_24,type,
    fun: ( $tType * $tType ) > $tType ).

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

tff(func_def_0,type,
    aTP_Lamp_a: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1,type,
    aTP_Lamp_aa: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_2,type,
    aTP_Lamp_aaa: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_3,type,
    aTP_Lamp_aab: 
      !>[X0: $tType,X1: $tType] : fun(X0,X1) ).

tff(func_def_4,type,
    aTP_Lamp_aac: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_5,type,
    aTP_Lamp_aad: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_6,type,
    aTP_Lamp_aae: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_7,type,
    aTP_Lamp_aaf: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_8,type,
    aTP_Lamp_aag: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_9,type,
    aTP_Lamp_aah: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_10,type,
    aTP_Lamp_aai: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_11,type,
    aTP_Lamp_aaj: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_12,type,
    aTP_Lamp_aak: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_13,type,
    aTP_Lamp_aal: 
      !>[X0: $tType,X1: $tType] : fun(X0,X1) ).

tff(func_def_14,type,
    aTP_Lamp_aam: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_15,type,
    aTP_Lamp_aan: 
      !>[X0: $tType,X1: $tType] : fun(X0,X1) ).

tff(func_def_16,type,
    aTP_Lamp_aao: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_17,type,
    aTP_Lamp_aap: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_18,type,
    aTP_Lamp_aaq: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_19,type,
    aTP_Lamp_aar: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_20,type,
    aTP_Lamp_aas: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_21,type,
    aTP_Lamp_aat: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_22,type,
    aTP_Lamp_aau: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_23,type,
    aTP_Lamp_aav: 
      !>[X0: $tType,X1: $tType] : fun(X0,X1) ).

tff(func_def_24,type,
    aTP_Lamp_aaw: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_25,type,
    aTP_Lamp_aax: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_26,type,
    aTP_Lamp_aay: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_27,type,
    aTP_Lamp_aaz: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_28,type,
    aTP_Lamp_ab: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_29,type,
    aTP_Lamp_aba: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_30,type,
    aTP_Lamp_abb: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_31,type,
    aTP_Lamp_abc: 
      !>[X0: $tType,X1: $tType] : fun(X0,X1) ).

tff(func_def_32,type,
    aTP_Lamp_abd: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_33,type,
    aTP_Lamp_abe: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_34,type,
    aTP_Lamp_abf: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_35,type,
    aTP_Lamp_abg: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_36,type,
    aTP_Lamp_abh: 
      !>[X0: $tType,X1: $tType] : fun(X0,X1) ).

tff(func_def_37,type,
    aTP_Lamp_abi: 
      !>[X0: $tType,X1: $tType] : fun(X0,X1) ).

tff(func_def_38,type,
    aTP_Lamp_abj: 
      !>[X0: $tType,X1: $tType] : fun(X0,X1) ).

tff(func_def_39,type,
    aTP_Lamp_abk: 
      !>[X0: $tType,X1: $tType] : fun(X0,X1) ).

tff(func_def_40,type,
    aTP_Lamp_abl: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_41,type,
    aTP_Lamp_abm: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_42,type,
    aTP_Lamp_abn: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_43,type,
    aTP_Lamp_abo: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_44,type,
    aTP_Lamp_abp: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_45,type,
    aTP_Lamp_abq: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_46,type,
    aTP_Lamp_abr: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_47,type,
    aTP_Lamp_abs: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_48,type,
    aTP_Lamp_abt: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_49,type,
    aTP_Lamp_abu: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_50,type,
    aTP_Lamp_abv: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_51,type,
    aTP_Lamp_abw: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_52,type,
    aTP_Lamp_abx: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_53,type,
    aTP_Lamp_aby: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_54,type,
    aTP_Lamp_abz: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_55,type,
    aTP_Lamp_ac: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_56,type,
    aTP_Lamp_aca: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_57,type,
    aTP_Lamp_acb: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_58,type,
    aTP_Lamp_acc: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_59,type,
    aTP_Lamp_acd: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_60,type,
    aTP_Lamp_ace: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_61,type,
    aTP_Lamp_acf: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_62,type,
    aTP_Lamp_acg: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_63,type,
    aTP_Lamp_ach: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_64,type,
    aTP_Lamp_aci: 
      !>[X0: $tType,X1: $tType] : fun(X0,X1) ).

tff(func_def_65,type,
    aTP_Lamp_acj: 
      !>[X0: $tType,X1: $tType] : fun(X0,X1) ).

tff(func_def_66,type,
    aTP_Lamp_ack: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_67,type,
    aTP_Lamp_acl: 
      !>[X0: $tType,X1: $tType] : fun(X0,X1) ).

tff(func_def_68,type,
    aTP_Lamp_acm: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_69,type,
    aTP_Lamp_acn: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_70,type,
    aTP_Lamp_aco: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_71,type,
    aTP_Lamp_acp: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_72,type,
    aTP_Lamp_acq: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_73,type,
    aTP_Lamp_acr: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_74,type,
    aTP_Lamp_acs: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_75,type,
    aTP_Lamp_act: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_76,type,
    aTP_Lamp_acu: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_77,type,
    aTP_Lamp_acv: 
      !>[X0: $tType,X1: $tType] : fun(X0,X1) ).

tff(func_def_78,type,
    aTP_Lamp_acw: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_79,type,
    aTP_Lamp_acx: 
      !>[X0: $tType,X1: $tType] : fun(X0,X1) ).

tff(func_def_80,type,
    aTP_Lamp_acy: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_81,type,
    aTP_Lamp_acz: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_82,type,
    aTP_Lamp_ad: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_83,type,
    aTP_Lamp_ada: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_84,type,
    aTP_Lamp_adb: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_85,type,
    aTP_Lamp_adc: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_86,type,
    aTP_Lamp_add: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_87,type,
    aTP_Lamp_ade: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_88,type,
    aTP_Lamp_adf: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_89,type,
    aTP_Lamp_adg: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_90,type,
    aTP_Lamp_adh: 
      !>[X0: $tType,X1: $tType] : fun(X0,X1) ).

tff(func_def_91,type,
    aTP_Lamp_adi: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_92,type,
    aTP_Lamp_adj: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_93,type,
    aTP_Lamp_adk: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_94,type,
    aTP_Lamp_adl: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_95,type,
    aTP_Lamp_adm: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_96,type,
    aTP_Lamp_adn: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_97,type,
    aTP_Lamp_ado: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_98,type,
    aTP_Lamp_adp: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_99,type,
    aTP_Lamp_adq: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_100,type,
    aTP_Lamp_adr: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_101,type,
    aTP_Lamp_ads: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_102,type,
    aTP_Lamp_adt: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_103,type,
    aTP_Lamp_adu: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_104,type,
    aTP_Lamp_adv: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_105,type,
    aTP_Lamp_adw: 
      !>[X0: $tType,X1: $tType] : fun(X0,X1) ).

tff(func_def_106,type,
    aTP_Lamp_adx: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_107,type,
    aTP_Lamp_ady: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_108,type,
    aTP_Lamp_adz: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_109,type,
    aTP_Lamp_ae: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_110,type,
    aTP_Lamp_aea: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_111,type,
    aTP_Lamp_aeb: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_112,type,
    aTP_Lamp_aec: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_113,type,
    aTP_Lamp_aed: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_114,type,
    aTP_Lamp_aee: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_115,type,
    aTP_Lamp_aef: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_116,type,
    aTP_Lamp_aeg: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_117,type,
    aTP_Lamp_aeh: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_118,type,
    aTP_Lamp_aei: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_119,type,
    aTP_Lamp_aej: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_120,type,
    aTP_Lamp_aek: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_121,type,
    aTP_Lamp_ael: 
      !>[X0: $tType,X1: $tType] : fun(X0,X1) ).

tff(func_def_122,type,
    aTP_Lamp_aem: 
      !>[X0: $tType,X1: $tType] : fun(X0,X1) ).

tff(func_def_123,type,
    aTP_Lamp_aen: 
      !>[X0: $tType,X1: $tType] : fun(X0,X1) ).

tff(func_def_124,type,
    aTP_Lamp_aeo: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_125,type,
    aTP_Lamp_aep: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_126,type,
    aTP_Lamp_aeq: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_127,type,
    aTP_Lamp_aer: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_128,type,
    aTP_Lamp_aes: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_129,type,
    aTP_Lamp_aet: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_130,type,
    aTP_Lamp_aeu: 
      !>[X0: $tType,X1: $tType] : fun(X0,X1) ).

tff(func_def_131,type,
    aTP_Lamp_aev: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_132,type,
    aTP_Lamp_aew: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_133,type,
    aTP_Lamp_aex: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_134,type,
    aTP_Lamp_aey: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_135,type,
    aTP_Lamp_aez: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_136,type,
    aTP_Lamp_af: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_137,type,
    aTP_Lamp_afa: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_138,type,
    aTP_Lamp_afb: 
      !>[X0: $tType,X1: $tType] : fun(X0,X1) ).

tff(func_def_139,type,
    aTP_Lamp_afc: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_140,type,
    aTP_Lamp_afd: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_141,type,
    aTP_Lamp_afe: 
      !>[X0: $tType,X1: $tType] : fun(X0,X1) ).

tff(func_def_142,type,
    aTP_Lamp_aff: 
      !>[X0: $tType,X1: $tType] : fun(X0,X1) ).

tff(func_def_143,type,
    aTP_Lamp_afg: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_144,type,
    aTP_Lamp_afh: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_145,type,
    aTP_Lamp_afi: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_146,type,
    aTP_Lamp_afj: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_147,type,
    aTP_Lamp_afk: 
      !>[X0: $tType,X1: $tType] : fun(X0,X1) ).

tff(func_def_148,type,
    aTP_Lamp_afl: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_149,type,
    aTP_Lamp_afm: 
      !>[X0: $tType,X1: $tType] : fun(X0,X1) ).

tff(func_def_150,type,
    aTP_Lamp_afn: 
      !>[X0: $tType,X1: $tType] : fun(X0,X1) ).

tff(func_def_151,type,
    aTP_Lamp_afo: 
      !>[X0: $tType,X1: $tType] : fun(X0,X1) ).

tff(func_def_152,type,
    aTP_Lamp_afp: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_153,type,
    aTP_Lamp_afq: 
      !>[X0: $tType,X1: $tType] : fun(X0,X1) ).

tff(func_def_154,type,
    aTP_Lamp_afr: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_155,type,
    aTP_Lamp_afs: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_156,type,
    aTP_Lamp_aft: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_157,type,
    aTP_Lamp_afu: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_158,type,
    aTP_Lamp_afv: 
      !>[X0: $tType,X1: $tType] : fun(X0,X1) ).

tff(func_def_159,type,
    aTP_Lamp_afw: 
      !>[X0: $tType,X1: $tType] : fun(X0,X1) ).

tff(func_def_160,type,
    aTP_Lamp_afx: 
      !>[X0: $tType,X1: $tType] : fun(X0,X1) ).

tff(func_def_161,type,
    aTP_Lamp_afy: 
      !>[X0: $tType,X1: $tType] : fun(X0,X1) ).

tff(func_def_162,type,
    aTP_Lamp_afz: 
      !>[X0: $tType,X1: $tType] : fun(X0,X1) ).

tff(func_def_163,type,
    aTP_Lamp_ag: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_164,type,
    aTP_Lamp_aga: 
      !>[X0: $tType,X1: $tType] : fun(X0,X1) ).

tff(func_def_165,type,
    aTP_Lamp_agb: 
      !>[X0: $tType,X1: $tType] : fun(X0,X1) ).

tff(func_def_166,type,
    aTP_Lamp_agc: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_167,type,
    aTP_Lamp_agd: 
      !>[X0: $tType,X1: $tType] : fun(X0,X1) ).

tff(func_def_168,type,
    aTP_Lamp_age: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_169,type,
    aTP_Lamp_agf: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_170,type,
    aTP_Lamp_agg: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_171,type,
    aTP_Lamp_agh: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_172,type,
    aTP_Lamp_agi: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_173,type,
    aTP_Lamp_agj: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_174,type,
    aTP_Lamp_agk: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_175,type,
    aTP_Lamp_agl: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_176,type,
    aTP_Lamp_agm: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_177,type,
    aTP_Lamp_agn: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_178,type,
    aTP_Lamp_ago: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_179,type,
    aTP_Lamp_agp: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_180,type,
    aTP_Lamp_agq: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_181,type,
    aTP_Lamp_agr: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_182,type,
    aTP_Lamp_ags: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_183,type,
    aTP_Lamp_agt: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_184,type,
    aTP_Lamp_agu: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_185,type,
    aTP_Lamp_agv: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_186,type,
    aTP_Lamp_agw: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_187,type,
    aTP_Lamp_agx: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_188,type,
    aTP_Lamp_agy: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_189,type,
    aTP_Lamp_agz: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_190,type,
    aTP_Lamp_ah: 
      !>[X0: $tType,X1: $tType] : fun(X0,X1) ).

tff(func_def_191,type,
    aTP_Lamp_aha: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_192,type,
    aTP_Lamp_ahb: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_193,type,
    aTP_Lamp_ahc: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_194,type,
    aTP_Lamp_ahd: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_195,type,
    aTP_Lamp_ahe: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_196,type,
    aTP_Lamp_ahf: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_197,type,
    aTP_Lamp_ahg: 
      !>[X0: $tType,X1: $tType] : fun(X0,X1) ).

tff(func_def_198,type,
    aTP_Lamp_ahh: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_199,type,
    aTP_Lamp_ahi: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_200,type,
    aTP_Lamp_ahj: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_201,type,
    aTP_Lamp_ahk: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_202,type,
    aTP_Lamp_ahl: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_203,type,
    aTP_Lamp_ahm: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_204,type,
    aTP_Lamp_ahn: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_205,type,
    aTP_Lamp_aho: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_206,type,
    aTP_Lamp_ahp: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_207,type,
    aTP_Lamp_ahq: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_208,type,
    aTP_Lamp_ahr: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_209,type,
    aTP_Lamp_ahs: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_210,type,
    aTP_Lamp_aht: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_211,type,
    aTP_Lamp_ahu: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_212,type,
    aTP_Lamp_ahv: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_213,type,
    aTP_Lamp_ahw: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_214,type,
    aTP_Lamp_ahx: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_215,type,
    aTP_Lamp_ahy: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_216,type,
    aTP_Lamp_ahz: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_217,type,
    aTP_Lamp_ai: 
      !>[X0: $tType,X1: $tType] : fun(X0,X1) ).

tff(func_def_218,type,
    aTP_Lamp_aia: 
      !>[X0: $tType,X1: $tType] : fun(X0,X1) ).

tff(func_def_219,type,
    aTP_Lamp_aib: 
      !>[X0: $tType,X1: $tType] : fun(X0,X1) ).

tff(func_def_220,type,
    aTP_Lamp_aic: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_221,type,
    aTP_Lamp_aid: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_222,type,
    aTP_Lamp_aie: 
      !>[X0: $tType,X1: $tType] : fun(X0,X1) ).

tff(func_def_223,type,
    aTP_Lamp_aif: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_224,type,
    aTP_Lamp_aig: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_225,type,
    aTP_Lamp_aih: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_226,type,
    aTP_Lamp_aii: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_227,type,
    aTP_Lamp_aij: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_228,type,
    aTP_Lamp_aik: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_229,type,
    aTP_Lamp_ail: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_230,type,
    aTP_Lamp_aim: 
      !>[X0: $tType,X1: $tType] : fun(X0,X1) ).

tff(func_def_231,type,
    aTP_Lamp_ain: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_232,type,
    aTP_Lamp_aio: 
      !>[X0: $tType,X1: $tType] : fun(X0,X1) ).

tff(func_def_233,type,
    aTP_Lamp_aip: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_234,type,
    aTP_Lamp_aiq: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_235,type,
    aTP_Lamp_air: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_236,type,
    aTP_Lamp_aj: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_237,type,
    aTP_Lamp_ak: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_238,type,
    aTP_Lamp_al: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_239,type,
    aTP_Lamp_am: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_240,type,
    aTP_Lamp_an: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_241,type,
    aTP_Lamp_ao: 
      !>[X0: $tType,X1: $tType] : fun(X0,X1) ).

tff(func_def_242,type,
    aTP_Lamp_ap: 
      !>[X0: $tType,X1: $tType] : fun(X0,X1) ).

tff(func_def_243,type,
    aTP_Lamp_aq: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_244,type,
    aTP_Lamp_ar: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_245,type,
    aTP_Lamp_as: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_246,type,
    aTP_Lamp_at: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_247,type,
    aTP_Lamp_au: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_248,type,
    aTP_Lamp_av: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_249,type,
    aTP_Lamp_aw: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_250,type,
    aTP_Lamp_ax: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_251,type,
    aTP_Lamp_ay: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_252,type,
    aTP_Lamp_az: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_253,type,
    aTP_Lamp_ba: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_254,type,
    aTP_Lamp_bb: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_255,type,
    aTP_Lamp_bc: 
      !>[X0: $tType,X1: $tType] : fun(X0,X1) ).

tff(func_def_256,type,
    aTP_Lamp_bd: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_257,type,
    aTP_Lamp_be: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_258,type,
    aTP_Lamp_bf: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_259,type,
    aTP_Lamp_bg: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_260,type,
    aTP_Lamp_bh: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_261,type,
    aTP_Lamp_bi: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_262,type,
    aTP_Lamp_bj: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_263,type,
    aTP_Lamp_bk: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_264,type,
    aTP_Lamp_bl: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_265,type,
    aTP_Lamp_bm: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_266,type,
    aTP_Lamp_bn: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_267,type,
    aTP_Lamp_bo: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_268,type,
    aTP_Lamp_bp: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_269,type,
    aTP_Lamp_bq: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_270,type,
    aTP_Lamp_br: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_271,type,
    aTP_Lamp_bs: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_272,type,
    aTP_Lamp_bt: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_273,type,
    aTP_Lamp_bu: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_274,type,
    aTP_Lamp_bv: 
      !>[X0: $tType,X1: $tType] : fun(X0,X1) ).

tff(func_def_275,type,
    aTP_Lamp_bw: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_276,type,
    aTP_Lamp_bx: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_277,type,
    aTP_Lamp_by: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_278,type,
    aTP_Lamp_bz: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_279,type,
    aTP_Lamp_ca: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_280,type,
    aTP_Lamp_cb: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_281,type,
    aTP_Lamp_cc: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_282,type,
    aTP_Lamp_cd: 
      !>[X0: $tType,X1: $tType] : fun(X0,X1) ).

tff(func_def_283,type,
    aTP_Lamp_ce: 
      !>[X0: $tType,X1: $tType] : fun(X0,X1) ).

tff(func_def_284,type,
    aTP_Lamp_cf: 
      !>[X0: $tType,X1: $tType] : fun(X0,X1) ).

tff(func_def_285,type,
    aTP_Lamp_cg: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_286,type,
    aTP_Lamp_ch: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_287,type,
    aTP_Lamp_ci: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_288,type,
    aTP_Lamp_cj: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_289,type,
    aTP_Lamp_ck: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_290,type,
    aTP_Lamp_cl: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_291,type,
    aTP_Lamp_cm: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_292,type,
    aTP_Lamp_cn: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_293,type,
    aTP_Lamp_co: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_294,type,
    aTP_Lamp_cp: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_295,type,
    aTP_Lamp_cq: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_296,type,
    aTP_Lamp_cr: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_297,type,
    aTP_Lamp_cs: 
      !>[X0: $tType,X1: $tType] : fun(X0,X1) ).

tff(func_def_298,type,
    aTP_Lamp_ct: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_299,type,
    aTP_Lamp_cu: 
      !>[X0: $tType,X1: $tType] : fun(X0,X1) ).

tff(func_def_300,type,
    aTP_Lamp_cv: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_301,type,
    aTP_Lamp_cw: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_302,type,
    aTP_Lamp_cx: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_303,type,
    aTP_Lamp_cy: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_304,type,
    aTP_Lamp_cz: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_305,type,
    aTP_Lamp_da: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_306,type,
    aTP_Lamp_db: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_307,type,
    aTP_Lamp_dc: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_308,type,
    aTP_Lamp_dd: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_309,type,
    aTP_Lamp_de: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_310,type,
    aTP_Lamp_df: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_311,type,
    aTP_Lamp_dg: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_312,type,
    aTP_Lamp_dh: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_313,type,
    aTP_Lamp_di: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_314,type,
    aTP_Lamp_dj: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_315,type,
    aTP_Lamp_dk: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_316,type,
    aTP_Lamp_dl: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_317,type,
    aTP_Lamp_dm: 
      !>[X0: $tType,X1: $tType] : fun(X0,X1) ).

tff(func_def_318,type,
    aTP_Lamp_dn: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_319,type,
    aTP_Lamp_do: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_320,type,
    aTP_Lamp_dp: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_321,type,
    aTP_Lamp_dq: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_322,type,
    aTP_Lamp_dr: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_323,type,
    aTP_Lamp_ds: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_324,type,
    aTP_Lamp_dt: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_325,type,
    aTP_Lamp_du: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_326,type,
    aTP_Lamp_dv: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_327,type,
    aTP_Lamp_dw: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_328,type,
    aTP_Lamp_dx: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_329,type,
    aTP_Lamp_dy: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_330,type,
    aTP_Lamp_dz: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_331,type,
    aTP_Lamp_ea: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_332,type,
    aTP_Lamp_eb: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_333,type,
    aTP_Lamp_ec: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_334,type,
    aTP_Lamp_ed: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_335,type,
    aTP_Lamp_ee: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_336,type,
    aTP_Lamp_ef: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_337,type,
    aTP_Lamp_eg: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_338,type,
    aTP_Lamp_eh: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_339,type,
    aTP_Lamp_ei: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_340,type,
    aTP_Lamp_ej: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_341,type,
    aTP_Lamp_ek: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_342,type,
    aTP_Lamp_el: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_343,type,
    aTP_Lamp_em: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_344,type,
    aTP_Lamp_en: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_345,type,
    aTP_Lamp_eo: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_346,type,
    aTP_Lamp_ep: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_347,type,
    aTP_Lamp_eq: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_348,type,
    aTP_Lamp_er: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_349,type,
    aTP_Lamp_es: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_350,type,
    aTP_Lamp_et: 
      !>[X0: $tType,X1: $tType] : fun(X0,X1) ).

tff(func_def_351,type,
    aTP_Lamp_eu: 
      !>[X0: $tType,X1: $tType] : fun(X0,X1) ).

tff(func_def_352,type,
    aTP_Lamp_ev: 
      !>[X0: $tType,X1: $tType] : fun(X0,X1) ).

tff(func_def_353,type,
    aTP_Lamp_ew: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_354,type,
    aTP_Lamp_ex: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_355,type,
    aTP_Lamp_ey: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_356,type,
    aTP_Lamp_ez: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_357,type,
    aTP_Lamp_fa: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_358,type,
    aTP_Lamp_fb: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_359,type,
    aTP_Lamp_fc: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_360,type,
    aTP_Lamp_fd: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_361,type,
    aTP_Lamp_fe: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_362,type,
    aTP_Lamp_ff: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_363,type,
    aTP_Lamp_fg: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_364,type,
    aTP_Lamp_fh: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_365,type,
    aTP_Lamp_fi: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_366,type,
    aTP_Lamp_fj: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_367,type,
    aTP_Lamp_fk: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_368,type,
    aTP_Lamp_fl: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_369,type,
    aTP_Lamp_fm: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_370,type,
    aTP_Lamp_fn: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_371,type,
    aTP_Lamp_fo: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_372,type,
    aTP_Lamp_fp: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_373,type,
    aTP_Lamp_fq: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_374,type,
    aTP_Lamp_fr: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_375,type,
    aTP_Lamp_fs: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_376,type,
    aTP_Lamp_ft: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_377,type,
    aTP_Lamp_fu: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_378,type,
    aTP_Lamp_fv: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_379,type,
    aTP_Lamp_fw: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_380,type,
    aTP_Lamp_fx: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_381,type,
    aTP_Lamp_fy: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_382,type,
    aTP_Lamp_fz: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_383,type,
    aTP_Lamp_ga: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_384,type,
    aTP_Lamp_gb: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_385,type,
    aTP_Lamp_gc: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_386,type,
    aTP_Lamp_gd: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_387,type,
    aTP_Lamp_ge: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_388,type,
    aTP_Lamp_gf: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_389,type,
    aTP_Lamp_gg: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_390,type,
    aTP_Lamp_gh: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_391,type,
    aTP_Lamp_gi: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_392,type,
    aTP_Lamp_gj: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_393,type,
    aTP_Lamp_gk: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_394,type,
    aTP_Lamp_gl: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_395,type,
    aTP_Lamp_gm: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_396,type,
    aTP_Lamp_gn: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_397,type,
    aTP_Lamp_go: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_398,type,
    aTP_Lamp_gp: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_399,type,
    aTP_Lamp_gq: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_400,type,
    aTP_Lamp_gr: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_401,type,
    aTP_Lamp_gs: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_402,type,
    aTP_Lamp_gt: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_403,type,
    aTP_Lamp_gu: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_404,type,
    aTP_Lamp_gv: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_405,type,
    aTP_Lamp_gw: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_406,type,
    aTP_Lamp_gx: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_407,type,
    aTP_Lamp_gy: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_408,type,
    aTP_Lamp_gz: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_409,type,
    aTP_Lamp_ha: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_410,type,
    aTP_Lamp_hb: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_411,type,
    aTP_Lamp_hc: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_412,type,
    aTP_Lamp_hd: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_413,type,
    aTP_Lamp_he: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_414,type,
    aTP_Lamp_hf: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_415,type,
    aTP_Lamp_hg: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_416,type,
    aTP_Lamp_hh: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_417,type,
    aTP_Lamp_hi: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_418,type,
    aTP_Lamp_hj: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_419,type,
    aTP_Lamp_hk: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_420,type,
    aTP_Lamp_hl: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_421,type,
    aTP_Lamp_hm: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_422,type,
    aTP_Lamp_hn: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_423,type,
    aTP_Lamp_ho: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_424,type,
    aTP_Lamp_hp: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_425,type,
    aTP_Lamp_hq: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_426,type,
    aTP_Lamp_hr: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_427,type,
    aTP_Lamp_hs: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_428,type,
    aTP_Lamp_ht: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_429,type,
    aTP_Lamp_hu: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_430,type,
    aTP_Lamp_hv: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_431,type,
    aTP_Lamp_hw: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_432,type,
    aTP_Lamp_hx: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_433,type,
    aTP_Lamp_hy: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_434,type,
    aTP_Lamp_hz: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_435,type,
    aTP_Lamp_ia: 
      !>[X0: $tType,X1: $tType] : fun(X0,X1) ).

tff(func_def_436,type,
    aTP_Lamp_ib: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_437,type,
    aTP_Lamp_ic: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_438,type,
    aTP_Lamp_id: 
      !>[X0: $tType,X1: $tType] : fun(X0,X1) ).

tff(func_def_439,type,
    aTP_Lamp_ie: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_440,type,
    aTP_Lamp_if: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_441,type,
    aTP_Lamp_ig: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_442,type,
    aTP_Lamp_ih: 
      !>[X0: $tType,X1: $tType] : fun(X0,X1) ).

tff(func_def_443,type,
    aTP_Lamp_ii: 
      !>[X0: $tType,X1: $tType] : fun(X0,X1) ).

tff(func_def_444,type,
    aTP_Lamp_ij: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_445,type,
    aTP_Lamp_ik: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_446,type,
    aTP_Lamp_il: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_447,type,
    aTP_Lamp_im: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_448,type,
    aTP_Lamp_in: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_449,type,
    aTP_Lamp_io: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_450,type,
    aTP_Lamp_ip: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_451,type,
    aTP_Lamp_iq: 
      !>[X0: $tType,X1: $tType] : fun(X0,X1) ).

tff(func_def_452,type,
    aTP_Lamp_ir: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_453,type,
    aTP_Lamp_is: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_454,type,
    aTP_Lamp_it: 
      !>[X0: $tType,X1: $tType] : fun(X0,X1) ).

tff(func_def_455,type,
    aTP_Lamp_iu: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_456,type,
    aTP_Lamp_iv: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_457,type,
    aTP_Lamp_iw: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_458,type,
    aTP_Lamp_ix: 
      !>[X0: $tType,X1: $tType] : fun(X0,X1) ).

tff(func_def_459,type,
    aTP_Lamp_iy: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_460,type,
    aTP_Lamp_iz: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_461,type,
    aTP_Lamp_ja: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_462,type,
    aTP_Lamp_jb: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_463,type,
    aTP_Lamp_jc: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_464,type,
    aTP_Lamp_jd: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_465,type,
    aTP_Lamp_je: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_466,type,
    aTP_Lamp_jf: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_467,type,
    aTP_Lamp_jg: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_468,type,
    aTP_Lamp_jh: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_469,type,
    aTP_Lamp_ji: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_470,type,
    aTP_Lamp_jj: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_471,type,
    aTP_Lamp_jk: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_472,type,
    aTP_Lamp_jl: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_473,type,
    aTP_Lamp_jm: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_474,type,
    aTP_Lamp_jn: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_475,type,
    aTP_Lamp_jo: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_476,type,
    aTP_Lamp_jp: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_477,type,
    aTP_Lamp_jq: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_478,type,
    aTP_Lamp_jr: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_479,type,
    aTP_Lamp_js: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_480,type,
    aTP_Lamp_jt: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_481,type,
    aTP_Lamp_ju: 
      !>[X0: $tType,X1: $tType] : fun(X0,X1) ).

tff(func_def_482,type,
    aTP_Lamp_jv: 
      !>[X0: $tType,X1: $tType] : fun(X0,X1) ).

tff(func_def_483,type,
    aTP_Lamp_jw: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_484,type,
    aTP_Lamp_jx: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_485,type,
    aTP_Lamp_jy: 
      !>[X0: $tType,X1: $tType] : fun(X0,X1) ).

tff(func_def_486,type,
    aTP_Lamp_jz: 
      !>[X0: $tType,X1: $tType] : fun(X0,X1) ).

tff(func_def_487,type,
    aTP_Lamp_ka: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_488,type,
    aTP_Lamp_kb: 
      !>[X0: $tType,X1: $tType] : fun(X0,X1) ).

tff(func_def_489,type,
    aTP_Lamp_kc: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_490,type,
    aTP_Lamp_kd: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_491,type,
    aTP_Lamp_ke: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_492,type,
    aTP_Lamp_kf: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_493,type,
    aTP_Lamp_kg: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_494,type,
    aTP_Lamp_kh: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_495,type,
    aTP_Lamp_ki: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_496,type,
    aTP_Lamp_kj: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_497,type,
    aTP_Lamp_kk: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_498,type,
    aTP_Lamp_kl: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_499,type,
    aTP_Lamp_km: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_500,type,
    aTP_Lamp_kn: 
      !>[X0: $tType,X1: $tType] : fun(X0,X1) ).

tff(func_def_501,type,
    aTP_Lamp_ko: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_502,type,
    aTP_Lamp_kp: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_503,type,
    aTP_Lamp_kq: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_504,type,
    aTP_Lamp_kr: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_505,type,
    aTP_Lamp_ks: 
      !>[X0: $tType,X1: $tType] : fun(X0,X1) ).

tff(func_def_506,type,
    aTP_Lamp_kt: 
      !>[X0: $tType,X1: $tType] : fun(X0,X1) ).

tff(func_def_507,type,
    aTP_Lamp_ku: 
      !>[X0: $tType,X1: $tType] : fun(X0,X1) ).

tff(func_def_508,type,
    aTP_Lamp_kv: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_509,type,
    aTP_Lamp_kw: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_510,type,
    aTP_Lamp_kx: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_511,type,
    aTP_Lamp_ky: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_512,type,
    aTP_Lamp_kz: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_513,type,
    aTP_Lamp_la: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_514,type,
    aTP_Lamp_lb: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_515,type,
    aTP_Lamp_lc: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_516,type,
    aTP_Lamp_ld: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_517,type,
    aTP_Lamp_le: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_518,type,
    aTP_Lamp_lf: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_519,type,
    aTP_Lamp_lg: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_520,type,
    aTP_Lamp_lh: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_521,type,
    aTP_Lamp_li: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_522,type,
    aTP_Lamp_lj: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_523,type,
    aTP_Lamp_lk: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_524,type,
    aTP_Lamp_ll: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_525,type,
    aTP_Lamp_lm: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_526,type,
    aTP_Lamp_ln: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_527,type,
    aTP_Lamp_lo: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_528,type,
    aTP_Lamp_lp: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_529,type,
    aTP_Lamp_lq: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_530,type,
    aTP_Lamp_lr: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_531,type,
    aTP_Lamp_ls: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_532,type,
    aTP_Lamp_lt: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_533,type,
    aTP_Lamp_lu: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_534,type,
    aTP_Lamp_lv: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_535,type,
    aTP_Lamp_lw: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_536,type,
    aTP_Lamp_lx: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_537,type,
    aTP_Lamp_ly: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_538,type,
    aTP_Lamp_lz: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_539,type,
    aTP_Lamp_ma: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_540,type,
    aTP_Lamp_mb: 
      !>[X0: $tType,X1: $tType] : fun(X0,X1) ).

tff(func_def_541,type,
    aTP_Lamp_mc: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_542,type,
    aTP_Lamp_md: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_543,type,
    aTP_Lamp_me: 
      !>[X0: $tType,X1: $tType] : fun(X0,X1) ).

tff(func_def_544,type,
    aTP_Lamp_mf: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_545,type,
    aTP_Lamp_mg: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_546,type,
    aTP_Lamp_mh: 
      !>[X0: $tType,X1: $tType] : fun(X0,X1) ).

tff(func_def_547,type,
    aTP_Lamp_mi: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_548,type,
    aTP_Lamp_mj: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_549,type,
    aTP_Lamp_mk: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_550,type,
    aTP_Lamp_ml: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_551,type,
    aTP_Lamp_mm: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_552,type,
    aTP_Lamp_mn: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_553,type,
    aTP_Lamp_mo: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_554,type,
    aTP_Lamp_mp: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_555,type,
    aTP_Lamp_mq: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_556,type,
    aTP_Lamp_mr: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_557,type,
    aTP_Lamp_ms: 
      !>[X0: $tType,X1: $tType] : fun(X0,X1) ).

tff(func_def_558,type,
    aTP_Lamp_mt: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_559,type,
    aTP_Lamp_mu: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_560,type,
    aTP_Lamp_mv: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_561,type,
    aTP_Lamp_mw: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_562,type,
    aTP_Lamp_mx: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_563,type,
    aTP_Lamp_my: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_564,type,
    aTP_Lamp_mz: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_565,type,
    aTP_Lamp_na: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_566,type,
    aTP_Lamp_nb: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_567,type,
    aTP_Lamp_nc: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_568,type,
    aTP_Lamp_nd: 
      !>[X0: $tType,X1: $tType] : fun(X0,X1) ).

tff(func_def_569,type,
    aTP_Lamp_ne: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_570,type,
    aTP_Lamp_nf: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_571,type,
    aTP_Lamp_ng: 
      !>[X0: $tType,X1: $tType] : fun(X0,X1) ).

tff(func_def_572,type,
    aTP_Lamp_nh: 
      !>[X0: $tType,X1: $tType] : fun(X0,X1) ).

tff(func_def_573,type,
    aTP_Lamp_ni: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_574,type,
    aTP_Lamp_nj: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_575,type,
    aTP_Lamp_nk: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_576,type,
    aTP_Lamp_nl: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_577,type,
    aTP_Lamp_nm: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_578,type,
    aTP_Lamp_nn: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_579,type,
    aTP_Lamp_no: 
      !>[X0: $tType,X1: $tType] : fun(X0,X1) ).

tff(func_def_580,type,
    aTP_Lamp_np: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_581,type,
    aTP_Lamp_nq: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_582,type,
    aTP_Lamp_nr: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_583,type,
    aTP_Lamp_ns: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_584,type,
    aTP_Lamp_nt: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_585,type,
    aTP_Lamp_nu: 
      !>[X0: $tType,X1: $tType] : fun(X0,X1) ).

tff(func_def_586,type,
    aTP_Lamp_nv: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_587,type,
    aTP_Lamp_nw: 
      !>[X0: $tType,X1: $tType] : fun(X0,X1) ).

tff(func_def_588,type,
    aTP_Lamp_nx: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_589,type,
    aTP_Lamp_ny: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_590,type,
    aTP_Lamp_nz: 
      !>[X0: $tType,X1: $tType] : fun(X0,X1) ).

tff(func_def_591,type,
    aTP_Lamp_oa: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_592,type,
    aTP_Lamp_ob: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_593,type,
    aTP_Lamp_oc: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_594,type,
    aTP_Lamp_od: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_595,type,
    aTP_Lamp_oe: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_596,type,
    aTP_Lamp_of: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_597,type,
    aTP_Lamp_og: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_598,type,
    aTP_Lamp_oh: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_599,type,
    aTP_Lamp_oi: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_600,type,
    aTP_Lamp_oj: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_601,type,
    aTP_Lamp_ok: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_602,type,
    aTP_Lamp_ol: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_603,type,
    aTP_Lamp_om: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_604,type,
    aTP_Lamp_on: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_605,type,
    aTP_Lamp_oo: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_606,type,
    aTP_Lamp_op: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_607,type,
    aTP_Lamp_oq: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_608,type,
    aTP_Lamp_or: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_609,type,
    aTP_Lamp_os: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_610,type,
    aTP_Lamp_ot: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_611,type,
    aTP_Lamp_ou: 
      !>[X0: $tType,X1: $tType] : fun(X0,X1) ).

tff(func_def_612,type,
    aTP_Lamp_ov: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_613,type,
    aTP_Lamp_ow: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_614,type,
    aTP_Lamp_ox: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_615,type,
    aTP_Lamp_oy: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_616,type,
    aTP_Lamp_oz: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_617,type,
    aTP_Lamp_pa: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_618,type,
    aTP_Lamp_pb: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_619,type,
    aTP_Lamp_pc: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_620,type,
    aTP_Lamp_pd: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_621,type,
    aTP_Lamp_pe: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_622,type,
    aTP_Lamp_pf: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_623,type,
    aTP_Lamp_pg: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_624,type,
    aTP_Lamp_ph: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_625,type,
    aTP_Lamp_pi: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_626,type,
    aTP_Lamp_pj: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_627,type,
    aTP_Lamp_pk: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_628,type,
    aTP_Lamp_pl: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_629,type,
    aTP_Lamp_pm: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_630,type,
    aTP_Lamp_pn: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_631,type,
    aTP_Lamp_po: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_632,type,
    aTP_Lamp_pp: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_633,type,
    aTP_Lamp_pq: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_634,type,
    aTP_Lamp_pr: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_635,type,
    aTP_Lamp_ps: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_636,type,
    aTP_Lamp_pt: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_637,type,
    aTP_Lamp_pu: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_638,type,
    aTP_Lamp_pv: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_639,type,
    aTP_Lamp_pw: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_640,type,
    aTP_Lamp_px: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_641,type,
    aTP_Lamp_py: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_642,type,
    aTP_Lamp_pz: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_643,type,
    aTP_Lamp_qa: 
      !>[X0: $tType,X1: $tType] : fun(X0,X1) ).

tff(func_def_644,type,
    aTP_Lamp_qb: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_645,type,
    aTP_Lamp_qc: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_646,type,
    aTP_Lamp_qd: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_647,type,
    aTP_Lamp_qe: 
      !>[X0: $tType,X1: $tType] : fun(X0,X1) ).

tff(func_def_648,type,
    aTP_Lamp_qf: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_649,type,
    aTP_Lamp_qg: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_650,type,
    aTP_Lamp_qh: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_651,type,
    aTP_Lamp_qi: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_652,type,
    aTP_Lamp_qj: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_653,type,
    aTP_Lamp_qk: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_654,type,
    aTP_Lamp_ql: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_655,type,
    aTP_Lamp_qm: 
      !>[X0: $tType,X1: $tType] : fun(X0,X1) ).

tff(func_def_656,type,
    aTP_Lamp_qn: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_657,type,
    aTP_Lamp_qo: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_658,type,
    aTP_Lamp_qp: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_659,type,
    aTP_Lamp_qq: 
      !>[X0: $tType,X1: $tType] : fun(X0,X1) ).

tff(func_def_660,type,
    aTP_Lamp_qr: 
      !>[X0: $tType,X1: $tType] : fun(X0,X1) ).

tff(func_def_661,type,
    aTP_Lamp_qs: 
      !>[X0: $tType,X1: $tType] : fun(X0,X1) ).

tff(func_def_662,type,
    aTP_Lamp_qt: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_663,type,
    aTP_Lamp_qu: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_664,type,
    aTP_Lamp_qv: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_665,type,
    aTP_Lamp_qw: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_666,type,
    aTP_Lamp_qx: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_667,type,
    aTP_Lamp_qy: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_668,type,
    aTP_Lamp_qz: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_669,type,
    aTP_Lamp_ra: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_670,type,
    aTP_Lamp_rb: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_671,type,
    aTP_Lamp_rc: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_672,type,
    aTP_Lamp_rd: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_673,type,
    aTP_Lamp_re: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_674,type,
    aTP_Lamp_rf: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_675,type,
    aTP_Lamp_rg: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_676,type,
    aTP_Lamp_rh: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_677,type,
    aTP_Lamp_ri: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_678,type,
    aTP_Lamp_rj: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_679,type,
    aTP_Lamp_rk: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_680,type,
    aTP_Lamp_rl: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_681,type,
    aTP_Lamp_rm: 
      !>[X0: $tType,X1: $tType] : fun(X0,X1) ).

tff(func_def_682,type,
    aTP_Lamp_rn: 
      !>[X0: $tType,X1: $tType] : fun(X0,X1) ).

tff(func_def_683,type,
    aTP_Lamp_ro: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_684,type,
    aTP_Lamp_rp: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_685,type,
    aTP_Lamp_rq: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_686,type,
    aTP_Lamp_rr: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_687,type,
    aTP_Lamp_rs: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_688,type,
    aTP_Lamp_rt: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_689,type,
    aTP_Lamp_ru: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_690,type,
    aTP_Lamp_rv: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_691,type,
    aTP_Lamp_rw: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_692,type,
    aTP_Lamp_rx: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_693,type,
    aTP_Lamp_ry: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_694,type,
    aTP_Lamp_rz: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_695,type,
    aTP_Lamp_sa: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_696,type,
    aTP_Lamp_sb: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_697,type,
    aTP_Lamp_sc: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_698,type,
    aTP_Lamp_sd: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_699,type,
    aTP_Lamp_se: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_700,type,
    aTP_Lamp_sf: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_701,type,
    aTP_Lamp_sg: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_702,type,
    aTP_Lamp_sh: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_703,type,
    aTP_Lamp_si: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_704,type,
    aTP_Lamp_sj: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_705,type,
    aTP_Lamp_sk: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_706,type,
    aTP_Lamp_sl: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_707,type,
    aTP_Lamp_sm: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_708,type,
    aTP_Lamp_sn: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_709,type,
    aTP_Lamp_so: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_710,type,
    aTP_Lamp_sp: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_711,type,
    aTP_Lamp_sq: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_712,type,
    aTP_Lamp_sr: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_713,type,
    aTP_Lamp_ss: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_714,type,
    aTP_Lamp_st: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_715,type,
    aTP_Lamp_su: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_716,type,
    aTP_Lamp_sv: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_717,type,
    aTP_Lamp_sw: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_718,type,
    aTP_Lamp_sx: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_719,type,
    aTP_Lamp_sy: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_720,type,
    aTP_Lamp_sz: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_721,type,
    aTP_Lamp_ta: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_722,type,
    aTP_Lamp_tb: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_723,type,
    aTP_Lamp_tc: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_724,type,
    aTP_Lamp_td: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_725,type,
    aTP_Lamp_te: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_726,type,
    aTP_Lamp_tf: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_727,type,
    aTP_Lamp_tg: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_728,type,
    aTP_Lamp_th: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_729,type,
    aTP_Lamp_ti: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_730,type,
    aTP_Lamp_tj: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_731,type,
    aTP_Lamp_tk: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_732,type,
    aTP_Lamp_tl: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_733,type,
    aTP_Lamp_tm: 
      !>[X0: $tType,X1: $tType] : fun(X0,X1) ).

tff(func_def_734,type,
    aTP_Lamp_tn: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_735,type,
    aTP_Lamp_to: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_736,type,
    aTP_Lamp_tp: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_737,type,
    aTP_Lamp_tq: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_738,type,
    aTP_Lamp_tr: 
      !>[X0: $tType,X1: $tType] : fun(X0,X1) ).

tff(func_def_739,type,
    aTP_Lamp_ts: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_740,type,
    aTP_Lamp_tt: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_741,type,
    aTP_Lamp_tu: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_742,type,
    aTP_Lamp_tv: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_743,type,
    aTP_Lamp_tw: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_744,type,
    aTP_Lamp_tx: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_745,type,
    aTP_Lamp_ty: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_746,type,
    aTP_Lamp_tz: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_747,type,
    aTP_Lamp_ua: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_748,type,
    aTP_Lamp_ub: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_749,type,
    aTP_Lamp_uc: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_750,type,
    aTP_Lamp_ud: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_751,type,
    aTP_Lamp_ue: 
      !>[X0: $tType,X1: $tType] : fun(X0,X1) ).

tff(func_def_752,type,
    aTP_Lamp_uf: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_753,type,
    aTP_Lamp_ug: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_754,type,
    aTP_Lamp_uh: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_755,type,
    aTP_Lamp_ui: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_756,type,
    aTP_Lamp_uj: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_757,type,
    aTP_Lamp_uk: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_758,type,
    aTP_Lamp_ul: 
      !>[X0: $tType,X1: $tType] : fun(X0,X1) ).

tff(func_def_759,type,
    aTP_Lamp_um: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_760,type,
    aTP_Lamp_un: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_761,type,
    aTP_Lamp_uo: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_762,type,
    aTP_Lamp_up: 
      !>[X0: $tType,X1: $tType] : fun(X0,X1) ).

tff(func_def_763,type,
    aTP_Lamp_uq: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_764,type,
    aTP_Lamp_ur: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_765,type,
    aTP_Lamp_us: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_766,type,
    aTP_Lamp_ut: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_767,type,
    aTP_Lamp_uu: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_768,type,
    aTP_Lamp_uv: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_769,type,
    aTP_Lamp_uw: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_770,type,
    aTP_Lamp_ux: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_771,type,
    aTP_Lamp_uy: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_772,type,
    aTP_Lamp_uz: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_773,type,
    aTP_Lamp_va: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_774,type,
    aTP_Lamp_vb: 
      !>[X0: $tType,X1: $tType] : fun(X0,X1) ).

tff(func_def_775,type,
    aTP_Lamp_vc: 
      !>[X0: $tType,X1: $tType] : fun(X0,X1) ).

tff(func_def_776,type,
    aTP_Lamp_vd: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_777,type,
    aTP_Lamp_ve: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_778,type,
    aTP_Lamp_vf: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_779,type,
    aTP_Lamp_vg: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_780,type,
    aTP_Lamp_vh: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_781,type,
    aTP_Lamp_vi: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_782,type,
    aTP_Lamp_vj: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_783,type,
    aTP_Lamp_vk: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_784,type,
    aTP_Lamp_vl: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_785,type,
    aTP_Lamp_vm: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_786,type,
    aTP_Lamp_vn: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_787,type,
    aTP_Lamp_vo: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_788,type,
    aTP_Lamp_vp: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_789,type,
    aTP_Lamp_vq: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_790,type,
    aTP_Lamp_vr: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_791,type,
    aTP_Lamp_vs: 
      !>[X0: $tType,X1: $tType] : fun(X0,X1) ).

tff(func_def_792,type,
    aTP_Lamp_vt: 
      !>[X0: $tType,X1: $tType] : fun(X0,X1) ).

tff(func_def_793,type,
    aTP_Lamp_vu: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_794,type,
    aTP_Lamp_vv: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_795,type,
    aTP_Lamp_vw: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_796,type,
    aTP_Lamp_vx: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_797,type,
    aTP_Lamp_vy: 
      !>[X0: $tType,X1: $tType] : fun(X0,X1) ).

tff(func_def_798,type,
    aTP_Lamp_vz: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_799,type,
    aTP_Lamp_wa: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_800,type,
    aTP_Lamp_wb: 
      !>[X0: $tType,X1: $tType] : fun(X0,X1) ).

tff(func_def_801,type,
    aTP_Lamp_wc: 
      !>[X0: $tType,X1: $tType] : fun(X0,X1) ).

tff(func_def_802,type,
    aTP_Lamp_wd: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_803,type,
    aTP_Lamp_we: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_804,type,
    aTP_Lamp_wf: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_805,type,
    aTP_Lamp_wg: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_806,type,
    aTP_Lamp_wh: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_807,type,
    aTP_Lamp_wi: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_808,type,
    aTP_Lamp_wj: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_809,type,
    aTP_Lamp_wk: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_810,type,
    aTP_Lamp_wl: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_811,type,
    aTP_Lamp_wm: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_812,type,
    aTP_Lamp_wn: 
      !>[X0: $tType,X1: $tType] : fun(X0,X1) ).

tff(func_def_813,type,
    aTP_Lamp_wo: 
      !>[X0: $tType,X1: $tType] : fun(X0,X1) ).

tff(func_def_814,type,
    aTP_Lamp_wp: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_815,type,
    aTP_Lamp_wq: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_816,type,
    aTP_Lamp_wr: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_817,type,
    aTP_Lamp_ws: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_818,type,
    aTP_Lamp_wt: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_819,type,
    aTP_Lamp_wu: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_820,type,
    aTP_Lamp_wv: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_821,type,
    aTP_Lamp_ww: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_822,type,
    aTP_Lamp_wx: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_823,type,
    aTP_Lamp_wy: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_824,type,
    aTP_Lamp_wz: 
      !>[X0: $tType,X1: $tType] : fun(X0,X1) ).

tff(func_def_825,type,
    aTP_Lamp_xa: 
      !>[X0: $tType,X1: $tType] : fun(X0,X1) ).

tff(func_def_826,type,
    aTP_Lamp_xb: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_827,type,
    aTP_Lamp_xc: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_828,type,
    aTP_Lamp_xd: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_829,type,
    aTP_Lamp_xe: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_830,type,
    aTP_Lamp_xf: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_831,type,
    aTP_Lamp_xg: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_832,type,
    aTP_Lamp_xh: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_833,type,
    aTP_Lamp_xi: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_834,type,
    aTP_Lamp_xj: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_835,type,
    aTP_Lamp_xk: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_836,type,
    aTP_Lamp_xl: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_837,type,
    aTP_Lamp_xm: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_838,type,
    aTP_Lamp_xn: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_839,type,
    aTP_Lamp_xo: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_840,type,
    aTP_Lamp_xp: 
      !>[X0: $tType,X1: $tType] : fun(X0,X1) ).

tff(func_def_841,type,
    aTP_Lamp_xq: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_842,type,
    aTP_Lamp_xr: 
      !>[X0: $tType,X1: $tType] : fun(X0,X1) ).

tff(func_def_843,type,
    aTP_Lamp_xs: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_844,type,
    aTP_Lamp_xt: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_845,type,
    aTP_Lamp_xu: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_846,type,
    aTP_Lamp_xv: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_847,type,
    aTP_Lamp_xw: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_848,type,
    aTP_Lamp_xx: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_849,type,
    aTP_Lamp_xy: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_850,type,
    aTP_Lamp_xz: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_851,type,
    aTP_Lamp_ya: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_852,type,
    aTP_Lamp_yb: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_853,type,
    aTP_Lamp_yc: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_854,type,
    aTP_Lamp_yd: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_855,type,
    aTP_Lamp_ye: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_856,type,
    aTP_Lamp_yf: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_857,type,
    aTP_Lamp_yg: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_858,type,
    aTP_Lamp_yh: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_859,type,
    aTP_Lamp_yi: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_860,type,
    aTP_Lamp_yj: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_861,type,
    aTP_Lamp_yk: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_862,type,
    aTP_Lamp_yl: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_863,type,
    aTP_Lamp_ym: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_864,type,
    aTP_Lamp_yn: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_865,type,
    aTP_Lamp_yo: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_866,type,
    aTP_Lamp_yp: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_867,type,
    aTP_Lamp_yq: 
      !>[X0: $tType,X1: $tType] : fun(X0,X1) ).

tff(func_def_868,type,
    aTP_Lamp_yr: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_869,type,
    aTP_Lamp_ys: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_870,type,
    aTP_Lamp_yt: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_871,type,
    aTP_Lamp_yu: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_872,type,
    aTP_Lamp_yv: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_873,type,
    aTP_Lamp_yw: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_874,type,
    aTP_Lamp_yx: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_875,type,
    aTP_Lamp_yy: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_876,type,
    aTP_Lamp_yz: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_877,type,
    aTP_Lamp_za: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_878,type,
    aTP_Lamp_zb: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_879,type,
    aTP_Lamp_zc: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_880,type,
    aTP_Lamp_zd: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_881,type,
    aTP_Lamp_ze: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_882,type,
    aTP_Lamp_zf: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_883,type,
    aTP_Lamp_zg: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_884,type,
    aTP_Lamp_zh: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_885,type,
    aTP_Lamp_zi: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_886,type,
    aTP_Lamp_zj: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_887,type,
    aTP_Lamp_zk: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_888,type,
    aTP_Lamp_zl: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_889,type,
    aTP_Lamp_zm: 
      !>[X0: $tType,X1: $tType] : fun(X0,X1) ).

tff(func_def_890,type,
    aTP_Lamp_zn: 
      !>[X0: $tType,X1: $tType] : fun(X0,X1) ).

tff(func_def_891,type,
    aTP_Lamp_zo: 
      !>[X0: $tType,X1: $tType] : fun(X0,X1) ).

tff(func_def_892,type,
    aTP_Lamp_zp: 
      !>[X0: $tType,X1: $tType] : fun(X0,X1) ).

tff(func_def_893,type,
    aTP_Lamp_zq: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_894,type,
    aTP_Lamp_zr: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_895,type,
    aTP_Lamp_zs: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_896,type,
    aTP_Lamp_zt: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_897,type,
    aTP_Lamp_zu: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_898,type,
    aTP_Lamp_zv: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_899,type,
    aTP_Lamp_zw: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_900,type,
    aTP_Lamp_zx: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_901,type,
    aTP_Lamp_zy: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_902,type,
    aTP_Lamp_zz: 
      !>[X0: $tType,X1: $tType] : fun(X0,X1) ).

tff(func_def_903,type,
    archimedean_ceiling: 
      !>[X0: $tType] : ( X0 > int ) ).

tff(func_def_904,type,
    archim6421214686448440834_floor: 
      !>[X0: $tType] : ( X0 > int ) ).

tff(func_def_905,type,
    archimedean_frac: 
      !>[X0: $tType] : ( X0 > X0 ) ).

tff(func_def_906,type,
    archimedean_round: 
      !>[X0: $tType] : ( X0 > int ) ).

tff(func_def_907,type,
    bNF_Cardinal_cexp: 
      !>[X0: $tType,X1: $tType] : ( ( set(product_prod(X0,X0)) * set(product_prod(X1,X1)) ) > set(product_prod(fun(X1,X0),fun(X1,X0))) ) ).

tff(func_def_908,type,
    bNF_Cardinal_czero: 
      !>[X0: $tType] : set(product_prod(X0,X0)) ).

tff(func_def_909,type,
    bNF_Ca8387033319878233205ardSuc: 
      !>[X0: $tType] : ( set(product_prod(X0,X0)) > set(product_prod(set(X0),set(X0))) ) ).

tff(func_def_910,type,
    bNF_Ca6860139660246222851ard_of: 
      !>[X0: $tType] : ( set(X0) > set(product_prod(X0,X0)) ) ).

tff(func_def_911,type,
    bNF_Ca8665028551170535155natLeq: set(product_prod(nat,nat)) ).

tff(func_def_912,type,
    bNF_Ca8459412986667044542atLess: set(product_prod(nat,nat)) ).

tff(func_def_913,type,
    bNF_id_bnf: 
      !>[X0: $tType] : ( X0 > X0 ) ).

tff(func_def_914,type,
    bNF_Gr: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,X1) ) > set(product_prod(X0,X1)) ) ).

tff(func_def_915,type,
    bNF_Grp: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,X1) ) > fun(X0,fun(X1,$o)) ) ).

tff(func_def_916,type,
    bNF_convol: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( fun(X0,X1) * fun(X0,X2) ) > fun(X0,product_prod(X1,X2)) ) ).

tff(func_def_917,type,
    bNF_rel_fun: 
      !>[X0: $tType,X1: $tType,X2: $tType,X3: $tType] : ( ( fun(X0,fun(X1,$o)) * fun(X2,fun(X3,$o)) ) > fun(fun(X0,X2),fun(fun(X1,X3),$o)) ) ).

tff(func_def_918,type,
    bNF_vimage2p: 
      !>[X0: $tType,X1: $tType,X2: $tType,X3: $tType,X4: $tType] : ( ( fun(X0,X1) * fun(X2,X3) * fun(X1,fun(X3,X4)) ) > fun(X0,fun(X2,X4)) ) ).

tff(func_def_919,type,
    bNF_Greatest_image2p: 
      !>[X0: $tType,X1: $tType,X2: $tType,X3: $tType] : ( ( fun(X0,X1) * fun(X2,X3) * fun(X0,fun(X2,$o)) ) > fun(X1,fun(X3,$o)) ) ).

tff(func_def_920,type,
    bNF_Gr4221423524335903396lImage: 
      !>[X0: $tType,X1: $tType] : ( ( set(product_prod(X0,X0)) * fun(X0,X1) ) > set(product_prod(X1,X1)) ) ).

tff(func_def_921,type,
    bNF_Gr7122648621184425601vImage: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * set(product_prod(X1,X1)) * fun(X0,X1) ) > set(product_prod(X0,X0)) ) ).

tff(func_def_922,type,
    bNF_Wellorder_Func: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * set(X1) ) > set(fun(X0,X1)) ) ).

tff(func_def_923,type,
    bNF_We4925052301507509544nc_map: 
      !>[X0: $tType,X1: $tType,X2: $tType,X3: $tType] : ( ( set(X0) * fun(X1,X2) * fun(X0,X3) ) > fun(fun(X3,X1),fun(X0,X2)) ) ).

tff(func_def_924,type,
    bNF_Wellorder_bsqr: 
      !>[X0: $tType] : ( set(product_prod(X0,X0)) > set(product_prod(product_prod(X0,X0),product_prod(X0,X0))) ) ).

tff(func_def_925,type,
    bNF_We413866401316099525erIncl: 
      !>[X0: $tType] : ( set(product_prod(X0,X0)) > set(product_prod(set(X0),set(X0))) ) ).

tff(func_def_926,type,
    bNF_Wellorder_ordIso: 
      !>[X0: $tType,X1: $tType] : set(product_prod(set(product_prod(X0,X0)),set(product_prod(X1,X1)))) ).

tff(func_def_927,type,
    bNF_Wellorder_ordLeq: 
      !>[X0: $tType,X1: $tType] : set(product_prod(set(product_prod(X0,X0)),set(product_prod(X1,X1)))) ).

tff(func_def_928,type,
    bNF_We4044943003108391690rdLess: 
      !>[X0: $tType,X1: $tType] : set(product_prod(set(product_prod(X0,X0)),set(product_prod(X1,X1)))) ).

tff(func_def_929,type,
    bNF_We8469521843155493636filter: 
      !>[X0: $tType] : ( set(product_prod(X0,X0)) > fun(set(product_prod(X0,X0)),set(X0)) ) ).

tff(func_def_930,type,
    bNF_We1388413361240627857o_max2: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * X0 * X0 ) > X0 ) ).

tff(func_def_931,type,
    bNF_We6954850376910717587_minim: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * set(X0) ) > X0 ) ).

tff(func_def_932,type,
    basic_BNF_size_prod: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,nat) * fun(X1,nat) * product_prod(X0,X1) ) > nat ) ).

tff(func_def_933,type,
    basic_fsts: 
      !>[X0: $tType,X1: $tType] : ( product_prod(X0,X1) > set(X0) ) ).

tff(func_def_934,type,
    basic_snds: 
      !>[X0: $tType,X1: $tType] : ( product_prod(X0,X1) > set(X1) ) ).

tff(func_def_935,type,
    binomial: nat > fun(nat,nat) ).

tff(func_def_936,type,
    gbinomial: 
      !>[X0: $tType] : ( X0 > fun(nat,X0) ) ).

tff(func_def_937,type,
    bit_and_int_rel: fun(product_prod(int,int),fun(product_prod(int,int),$o)) ).

tff(func_def_938,type,
    bit_concat_bit: ( nat * int * int ) > int ).

tff(func_def_939,type,
    bit_ri4277139882892585799ns_not: 
      !>[X0: $tType] : fun(X0,X0) ).

tff(func_def_940,type,
    bit_ri4674362597316999326ke_bit: 
      !>[X0: $tType] : ( nat > fun(X0,X0) ) ).

tff(func_def_941,type,
    bit_se5824344872417868541ns_and: 
      !>[X0: $tType] : fun(X0,fun(X0,X0)) ).

tff(func_def_942,type,
    bit_se4197421643247451524op_bit: 
      !>[X0: $tType] : ( nat > fun(X0,X0) ) ).

tff(func_def_943,type,
    bit_se8732182000553998342ip_bit: 
      !>[X0: $tType] : ( ( nat * X0 ) > X0 ) ).

tff(func_def_944,type,
    bit_se2239418461657761734s_mask: 
      !>[X0: $tType] : ( nat > X0 ) ).

tff(func_def_945,type,
    bit_se1065995026697491101ons_or: 
      !>[X0: $tType] : fun(X0,fun(X0,X0)) ).

tff(func_def_946,type,
    bit_se4730199178511100633sh_bit: 
      !>[X0: $tType] : ( nat > fun(X0,X0) ) ).

tff(func_def_947,type,
    bit_se5668285175392031749et_bit: 
      !>[X0: $tType] : ( ( nat * X0 ) > X0 ) ).

tff(func_def_948,type,
    bit_se2584673776208193580ke_bit: 
      !>[X0: $tType] : ( nat > fun(X0,X0) ) ).

tff(func_def_949,type,
    bit_se2638667681897837118et_bit: 
      !>[X0: $tType] : ( ( nat * X0 ) > X0 ) ).

tff(func_def_950,type,
    bit_se5824344971392196577ns_xor: 
      !>[X0: $tType] : fun(X0,fun(X0,X0)) ).

tff(func_def_951,type,
    bit_se5641148757651400278ts_bit: 
      !>[X0: $tType] : ( X0 > fun(nat,$o) ) ).

tff(func_def_952,type,
    bit_take_bit_num: ( nat * num ) > option(num) ).

tff(func_def_953,type,
    bit_un7362597486090784418nd_num: ( num * num ) > option(num) ).

tff(func_def_954,type,
    bit_un2480387367778600638or_num: ( num * num ) > option(num) ).

tff(func_def_955,type,
    code_divmod_integer: ( code_integer * code_integer ) > product_prod(code_integer,code_integer) ).

tff(func_def_956,type,
    code_integer_of_nat: nat > code_integer ).

tff(func_def_957,type,
    code_nat_of_integer: code_integer > nat ).

tff(func_def_958,type,
    code_num_of_integer: code_integer > num ).

tff(func_def_959,type,
    complete_Inf_Inf: 
      !>[X0: $tType] : fun(set(X0),X0) ).

tff(func_def_960,type,
    complete_Sup_Sup: 
      !>[X0: $tType] : fun(set(X0),X0) ).

tff(func_def_961,type,
    comple115746919287870866o_fixp: 
      !>[X0: $tType] : ( fun(X0,X0) > X0 ) ).

tff(func_def_962,type,
    comple6359979572994053840erates: 
      !>[X0: $tType] : ( fun(X0,X0) > set(X0) ) ).

tff(func_def_963,type,
    comple7512665784863727008ratesp: 
      !>[X0: $tType] : ( fun(X0,X0) > fun(X0,$o) ) ).

tff(func_def_964,type,
    arg: complex > real ).

tff(func_def_965,type,
    cis: real > complex ).

tff(func_def_966,type,
    complex2: ( real * real ) > complex ).

tff(func_def_967,type,
    im: complex > real ).

tff(func_def_968,type,
    re: complex > real ).

tff(func_def_969,type,
    csqrt: complex > complex ).

tff(func_def_970,type,
    imaginary_unit: complex ).

tff(func_def_971,type,
    counta4804993851260445106t_into: 
      !>[X0: $tType] : fun(set(X0),fun(nat,X0)) ).

tff(func_def_972,type,
    countable_to_nat_on: 
      !>[X0: $tType] : ( set(X0) > fun(X0,nat) ) ).

tff(func_def_973,type,
    divmod_nat: ( nat * nat ) > product_prod(nat,nat) ).

tff(func_def_974,type,
    unique8689654367752047608divmod: 
      !>[X0: $tType] : ( ( num * num ) > product_prod(X0,X0) ) ).

tff(func_def_975,type,
    unique1321980374590559556d_step: 
      !>[X0: $tType] : ( ( num * product_prod(X0,X0) ) > product_prod(X0,X0) ) ).

tff(func_def_976,type,
    equiv_proj: 
      !>[X0: $tType,X1: $tType] : ( set(product_prod(X0,X1)) > fun(X0,set(X1)) ) ).

tff(func_def_977,type,
    equiv_quotient: 
      !>[X0: $tType] : ( ( set(X0) * set(product_prod(X0,X0)) ) > set(set(X0)) ) ).

tff(func_def_978,type,
    euclid6346220572633701492n_size: 
      !>[X0: $tType] : ( X0 > nat ) ).

tff(func_def_979,type,
    euclid7384307370059645450egment: 
      !>[X0: $tType] : ( X0 > X0 ) ).

tff(func_def_980,type,
    extended_eSuc: fun(extended_enat,extended_enat) ).

tff(func_def_981,type,
    extended_enat2: nat > extended_enat ).

tff(func_def_982,type,
    extended_case_enat: 
      !>[X0: $tType] : ( ( fun(nat,X0) * X0 * extended_enat ) > X0 ) ).

tff(func_def_983,type,
    extend4730790105801354508finity: 
      !>[X0: $tType] : X0 ).

tff(func_def_984,type,
    comm_s3205402744901411588hammer: 
      !>[X0: $tType] : ( ( X0 * nat ) > X0 ) ).

tff(func_def_985,type,
    semiring_char_0_fact: 
      !>[X0: $tType] : ( nat > X0 ) ).

tff(func_def_986,type,
    inverse_inverse: 
      !>[X0: $tType] : fun(X0,X0) ).

tff(func_def_987,type,
    at_bot: 
      !>[X0: $tType] : filter(X0) ).

tff(func_def_988,type,
    at_top: 
      !>[X0: $tType] : filter(X0) ).

tff(func_def_989,type,
    cofinite: 
      !>[X0: $tType] : filter(X0) ).

tff(func_def_990,type,
    filtercomap: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * filter(X1) ) > filter(X0) ) ).

tff(func_def_991,type,
    filtermap: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * filter(X0) ) > filter(X1) ) ).

tff(func_def_992,type,
    finite5375528669736107172at_top: 
      !>[X0: $tType] : ( set(X0) > filter(set(X0)) ) ).

tff(func_def_993,type,
    map_filter_on: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,X1) * filter(X0) ) > filter(X1) ) ).

tff(func_def_994,type,
    principal: 
      !>[X0: $tType] : ( set(X0) > filter(X0) ) ).

tff(func_def_995,type,
    prod_filter: 
      !>[X0: $tType,X1: $tType] : ( ( filter(X0) * filter(X1) ) > filter(product_prod(X0,X1)) ) ).

tff(func_def_996,type,
    finite_Fpow: 
      !>[X0: $tType] : ( set(X0) > set(set(X0)) ) ).

tff(func_def_997,type,
    finite_card: 
      !>[X0: $tType] : fun(set(X0),nat) ).

tff(func_def_998,type,
    finite_finite2: 
      !>[X0: $tType] : fun(set(X0),$o) ).

tff(func_def_999,type,
    finite_fold: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,fun(X1,X1)) * X1 * set(X0) ) > X1 ) ).

tff(func_def_1000,type,
    finite_fold_graph: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,fun(X1,X1)) * X1 * set(X0) ) > fun(X1,$o) ) ).

tff(func_def_1001,type,
    finite_folding_F: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,fun(X1,X1)) * X1 ) > fun(set(X0),X1) ) ).

tff(func_def_1002,type,
    comp: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( fun(X0,X1) > fun(fun(X2,X0),fun(X2,X1)) ) ).

tff(func_def_1003,type,
    fun_upd: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * X0 * X1 ) > fun(X0,X1) ) ).

tff(func_def_1004,type,
    id: 
      !>[X0: $tType] : fun(X0,X0) ).

tff(func_def_1005,type,
    map_fun: 
      !>[X0: $tType,X1: $tType,X2: $tType,X3: $tType] : ( ( fun(X0,X1) * fun(X2,X3) ) > fun(fun(X1,X2),fun(X0,X3)) ) ).

tff(func_def_1006,type,
    the_inv_into: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,X1) * X1 ) > X0 ) ).

tff(func_def_1007,type,
    fun_max_strict: set(product_prod(set(product_prod(nat,nat)),set(product_prod(nat,nat)))) ).

tff(func_def_1008,type,
    fun_max_weak: set(product_prod(set(product_prod(nat,nat)),set(product_prod(nat,nat)))) ).

tff(func_def_1009,type,
    fun_min_strict: set(product_prod(set(product_prod(nat,nat)),set(product_prod(nat,nat)))) ).

tff(func_def_1010,type,
    fun_min_weak: set(product_prod(set(product_prod(nat,nat)),set(product_prod(nat,nat)))) ).

tff(func_def_1011,type,
    fun_pair_leq: set(product_prod(product_prod(nat,nat),product_prod(nat,nat))) ).

tff(func_def_1012,type,
    fun_pair_less: set(product_prod(product_prod(nat,nat),product_prod(nat,nat))) ).

tff(func_def_1013,type,
    fun_rp_inv_image: 
      !>[X0: $tType,X1: $tType] : fun(product_prod(set(product_prod(X0,X0)),set(product_prod(X0,X0))),fun(fun(X1,X0),product_prod(set(product_prod(X1,X1)),set(product_prod(X1,X1))))) ).

tff(func_def_1014,type,
    gcd_Gcd: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_1015,type,
    bezw: ( nat * nat ) > product_prod(int,int) ).

tff(func_def_1016,type,
    bezw_rel: fun(product_prod(nat,nat),fun(product_prod(nat,nat),$o)) ).

tff(func_def_1017,type,
    bounde2362111253966948842tice_F: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,X0)) * X0 * X0 ) > fun(set(X0),X0) ) ).

tff(func_def_1018,type,
    gcd_gcd: 
      !>[X0: $tType] : fun(X0,fun(X0,X0)) ).

tff(func_def_1019,type,
    gcd_nat_rel: fun(product_prod(nat,nat),fun(product_prod(nat,nat),$o)) ).

tff(func_def_1020,type,
    semiri4206861660011772517g_char: 
      !>[X0: $tType] : ( itself(X0) > nat ) ).

tff(func_def_1021,type,
    semiring_gcd_Gcd_fin: 
      !>[X0: $tType] : fun(set(X0),X0) ).

tff(func_def_1022,type,
    abs_abs: 
      !>[X0: $tType] : fun(X0,X0) ).

tff(func_def_1023,type,
    minus_minus: 
      !>[X0: $tType] : ( X0 > fun(X0,X0) ) ).

tff(func_def_1024,type,
    one_one: 
      !>[X0: $tType] : X0 ).

tff(func_def_1025,type,
    plus_plus: 
      !>[X0: $tType] : fun(X0,fun(X0,X0)) ).

tff(func_def_1026,type,
    sgn_sgn: 
      !>[X0: $tType] : ( X0 > X0 ) ).

tff(func_def_1027,type,
    times_times: 
      !>[X0: $tType] : fun(X0,fun(X0,X0)) ).

tff(func_def_1028,type,
    uminus_uminus: 
      !>[X0: $tType] : fun(X0,X0) ).

tff(func_def_1029,type,
    zero_zero: 
      !>[X0: $tType] : X0 ).

tff(func_def_1030,type,
    groups7311177749621191930dd_sum: 
      !>[X0: $tType,X1: $tType] : fun(fun(X0,X1),fun(set(X0),X1)) ).

tff(func_def_1031,type,
    groups1027152243600224163dd_sum: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * set(X0) ) > X1 ) ).

tff(func_def_1032,type,
    groups7121269368397514597t_prod: 
      !>[X0: $tType,X1: $tType] : fun(fun(X0,X1),fun(set(X0),X1)) ).

tff(func_def_1033,type,
    groups1962203154675924110t_prod: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * set(X0) ) > X1 ) ).

tff(func_def_1034,type,
    groups4207007520872428315er_sum: 
      !>[X0: $tType,X1: $tType] : fun(fun(X0,X1),fun(X1,fun(list(X0),X1))) ).

tff(func_def_1035,type,
    groups8242544230860333062m_list: 
      !>[X0: $tType] : fun(list(X0),X0) ).

tff(func_def_1036,type,
    groups_monoid_F: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,X0)) * X0 ) > fun(list(X0),X0) ) ).

tff(func_def_1037,type,
    groups5270119922927024881d_list: 
      !>[X0: $tType] : fun(list(X0),X0) ).

tff(func_def_1038,type,
    the: 
      !>[X0: $tType] : ( fun(X0,$o) > X0 ) ).

tff(func_def_1039,type,
    undefined: 
      !>[X0: $tType] : X0 ).

tff(func_def_1040,type,
    hilbert_inv_into: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,X1) ) > fun(X1,X0) ) ).

tff(func_def_1041,type,
    complete_lattice_gfp: 
      !>[X0: $tType] : ( fun(X0,X0) > X0 ) ).

tff(func_def_1042,type,
    complete_lattice_lfp: 
      !>[X0: $tType] : ( fun(X0,X0) > X0 ) ).

tff(func_def_1043,type,
    infini527867602293511546merate: 
      !>[X0: $tType] : ( set(X0) > fun(nat,X0) ) ).

tff(func_def_1044,type,
    abs_Integ: product_prod(nat,nat) > int ).

tff(func_def_1045,type,
    rep_Integ: fun(int,product_prod(nat,nat)) ).

tff(func_def_1046,type,
    int_ge_less_than: int > set(product_prod(int,int)) ).

tff(func_def_1047,type,
    int_ge_less_than2: int > set(product_prod(int,int)) ).

tff(func_def_1048,type,
    intrel: fun(product_prod(nat,nat),fun(product_prod(nat,nat),$o)) ).

tff(func_def_1049,type,
    nat2: fun(int,nat) ).

tff(func_def_1050,type,
    pcr_int: fun(product_prod(nat,nat),fun(int,$o)) ).

tff(func_def_1051,type,
    power_int: 
      !>[X0: $tType] : ( ( X0 * int ) > X0 ) ).

tff(func_def_1052,type,
    ring_1_Ints: 
      !>[X0: $tType] : set(X0) ).

tff(func_def_1053,type,
    ring_1_of_int: 
      !>[X0: $tType] : fun(int,X0) ).

tff(func_def_1054,type,
    inf_inf: 
      !>[X0: $tType] : fun(X0,fun(X0,X0)) ).

tff(func_def_1055,type,
    sup_sup: 
      !>[X0: $tType] : fun(X0,fun(X0,X0)) ).

tff(func_def_1056,type,
    lattices_Max: 
      !>[X0: $tType] : ( fun(X0,fun(X0,$o)) > fun(set(X0),X0) ) ).

tff(func_def_1057,type,
    lattices_Min: 
      !>[X0: $tType] : ( fun(X0,fun(X0,$o)) > fun(set(X0),X0) ) ).

tff(func_def_1058,type,
    lattic643756798349783984er_Max: 
      !>[X0: $tType] : fun(set(X0),X0) ).

tff(func_def_1059,type,
    lattic643756798350308766er_Min: 
      !>[X0: $tType] : fun(set(X0),X0) ).

tff(func_def_1060,type,
    lattices_ord_arg_max: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * fun(X0,$o) ) > X0 ) ).

tff(func_def_1061,type,
    lattic1883929316492267755max_on: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * set(X0) ) > X0 ) ).

tff(func_def_1062,type,
    lattices_ord_arg_min: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * fun(X0,$o) ) > X0 ) ).

tff(func_def_1063,type,
    lattic7623131987881927897min_on: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * set(X0) ) > X0 ) ).

tff(func_def_1064,type,
    lattic501386751176901750rg_max: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * fun(X0,$o) ) > fun(X0,$o) ) ).

tff(func_def_1065,type,
    lattic501386751177426532rg_min: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * fun(X0,$o) ) > fun(X0,$o) ) ).

tff(func_def_1066,type,
    lattic7752659483105999362nf_fin: 
      !>[X0: $tType] : fun(set(X0),X0) ).

tff(func_def_1067,type,
    lattic1715443433743089157tice_F: 
      !>[X0: $tType] : ( fun(X0,fun(X0,X0)) > fun(set(X0),X0) ) ).

tff(func_def_1068,type,
    lattic5882676163264333800up_fin: 
      !>[X0: $tType] : fun(set(X0),X0) ).

tff(func_def_1069,type,
    at_infinity: 
      !>[X0: $tType] : filter(X0) ).

tff(func_def_1070,type,
    append: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) ) > list(X0) ) ).

tff(func_def_1071,type,
    arg_min_list: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * list(X0) ) > X0 ) ).

tff(func_def_1072,type,
    arg_min_list_rel: 
      !>[X0: $tType,X1: $tType] : fun(product_prod(fun(X0,X1),list(X0)),fun(product_prod(fun(X0,X1),list(X0)),$o)) ).

tff(func_def_1073,type,
    butlast: 
      !>[X0: $tType] : ( list(X0) > list(X0) ) ).

tff(func_def_1074,type,
    concat: 
      !>[X0: $tType] : ( list(list(X0)) > list(X0) ) ).

tff(func_def_1075,type,
    coset: 
      !>[X0: $tType] : ( list(X0) > set(X0) ) ).

tff(func_def_1076,type,
    count_list: 
      !>[X0: $tType] : ( list(X0) > fun(X0,nat) ) ).

tff(func_def_1077,type,
    drop: 
      !>[X0: $tType] : ( ( nat * list(X0) ) > list(X0) ) ).

tff(func_def_1078,type,
    dropWhile: 
      !>[X0: $tType] : ( ( fun(X0,$o) * list(X0) ) > list(X0) ) ).

tff(func_def_1079,type,
    enumerate: 
      !>[X0: $tType] : ( ( nat * list(X0) ) > list(product_prod(nat,X0)) ) ).

tff(func_def_1080,type,
    filter2: 
      !>[X0: $tType] : ( ( fun(X0,$o) * list(X0) ) > list(X0) ) ).

tff(func_def_1081,type,
    find: 
      !>[X0: $tType] : ( ( fun(X0,$o) * list(X0) ) > option(X0) ) ).

tff(func_def_1082,type,
    fold: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,fun(X1,X1)) * list(X0) * X1 ) > X1 ) ).

tff(func_def_1083,type,
    foldr: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,fun(X1,X1)) * list(X0) * X1 ) > X1 ) ).

tff(func_def_1084,type,
    gen_length: 
      !>[X0: $tType] : ( nat > fun(list(X0),nat) ) ).

tff(func_def_1085,type,
    last: 
      !>[X0: $tType] : ( list(X0) > X0 ) ).

tff(func_def_1086,type,
    lenlex: 
      !>[X0: $tType] : ( set(product_prod(X0,X0)) > set(product_prod(list(X0),list(X0))) ) ).

tff(func_def_1087,type,
    lex: 
      !>[X0: $tType] : ( set(product_prod(X0,X0)) > set(product_prod(list(X0),list(X0))) ) ).

tff(func_def_1088,type,
    lexn: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * nat ) > set(product_prod(list(X0),list(X0))) ) ).

tff(func_def_1089,type,
    lexord: 
      !>[X0: $tType] : ( set(product_prod(X0,X0)) > set(product_prod(list(X0),list(X0))) ) ).

tff(func_def_1090,type,
    insort_key: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,fun(X0,$o)) * fun(X1,X0) * X1 * list(X1) ) > list(X1) ) ).

tff(func_def_1091,type,
    sorted8670434370408473282of_set: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,fun(X0,$o)) * fun(X1,X0) * set(X1) ) > list(X1) ) ).

tff(func_def_1092,type,
    linord329482645794927042rt_key: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * X0 * list(X0) ) > list(X0) ) ).

tff(func_def_1093,type,
    linorder_insort_key: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * X0 * list(X0) ) > list(X0) ) ).

tff(func_def_1094,type,
    linorder_sort_key: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * list(X0) ) > list(X0) ) ).

tff(func_def_1095,type,
    linord4507533701916653071of_set: 
      !>[X0: $tType] : ( set(X0) > list(X0) ) ).

tff(func_def_1096,type,
    cons: 
      !>[X0: $tType] : ( X0 > fun(list(X0),list(X0)) ) ).

tff(func_def_1097,type,
    nil: 
      !>[X0: $tType] : list(X0) ).

tff(func_def_1098,type,
    hd: 
      !>[X0: $tType] : ( list(X0) > X0 ) ).

tff(func_def_1099,type,
    list_all2: 
      !>[X0: $tType,X1: $tType] : ( fun(X0,fun(X1,$o)) > fun(list(X0),fun(list(X1),$o)) ) ).

tff(func_def_1100,type,
    map: 
      !>[X0: $tType,X1: $tType] : ( fun(X0,X1) > fun(list(X0),list(X1)) ) ).

tff(func_def_1101,type,
    rec_list: 
      !>[X0: $tType,X1: $tType] : ( ( X0 * fun(X1,fun(list(X1),fun(X0,X0))) * list(X1) ) > X0 ) ).

tff(func_def_1102,type,
    set2: 
      !>[X0: $tType] : fun(list(X0),set(X0)) ).

tff(func_def_1103,type,
    size_list: 
      !>[X0: $tType] : ( ( fun(X0,nat) * list(X0) ) > nat ) ).

tff(func_def_1104,type,
    tl: 
      !>[X0: $tType] : ( list(X0) > list(X0) ) ).

tff(func_def_1105,type,
    list_update: 
      !>[X0: $tType] : ( ( list(X0) * nat * X0 ) > list(X0) ) ).

tff(func_def_1106,type,
    listrel: 
      !>[X0: $tType,X1: $tType] : ( set(product_prod(X0,X1)) > set(product_prod(list(X0),list(X1))) ) ).

tff(func_def_1107,type,
    listrel1: 
      !>[X0: $tType] : ( set(product_prod(X0,X0)) > set(product_prod(list(X0),list(X0))) ) ).

tff(func_def_1108,type,
    lists: 
      !>[X0: $tType] : ( set(X0) > set(list(X0)) ) ).

tff(func_def_1109,type,
    listset: 
      !>[X0: $tType] : ( list(set(X0)) > set(list(X0)) ) ).

tff(func_def_1110,type,
    measures: 
      !>[X0: $tType] : ( list(fun(X0,nat)) > set(product_prod(X0,X0)) ) ).

tff(func_def_1111,type,
    n_lists: 
      !>[X0: $tType] : ( ( nat * list(X0) ) > list(list(X0)) ) ).

tff(func_def_1112,type,
    nth: 
      !>[X0: $tType] : ( list(X0) > fun(nat,X0) ) ).

tff(func_def_1113,type,
    nths: 
      !>[X0: $tType] : ( ( list(X0) * set(nat) ) > list(X0) ) ).

tff(func_def_1114,type,
    ord_lexordp: 
      !>[X0: $tType] : fun(list(X0),fun(list(X0),$o)) ).

tff(func_def_1115,type,
    partition: 
      !>[X0: $tType] : ( fun(X0,$o) > fun(list(X0),product_prod(list(X0),list(X0))) ) ).

tff(func_def_1116,type,
    product: 
      !>[X0: $tType,X1: $tType] : ( ( list(X0) * list(X1) ) > list(product_prod(X0,X1)) ) ).

tff(func_def_1117,type,
    product_lists: 
      !>[X0: $tType] : ( list(list(X0)) > list(list(X0)) ) ).

tff(func_def_1118,type,
    remdups: 
      !>[X0: $tType] : ( list(X0) > list(X0) ) ).

tff(func_def_1119,type,
    remdups_adj: 
      !>[X0: $tType] : ( list(X0) > list(X0) ) ).

tff(func_def_1120,type,
    remove1: 
      !>[X0: $tType] : ( ( X0 * list(X0) ) > list(X0) ) ).

tff(func_def_1121,type,
    removeAll: 
      !>[X0: $tType] : ( ( X0 * list(X0) ) > list(X0) ) ).

tff(func_def_1122,type,
    replicate: 
      !>[X0: $tType] : ( ( nat * X0 ) > list(X0) ) ).

tff(func_def_1123,type,
    rev: 
      !>[X0: $tType] : ( list(X0) > list(X0) ) ).

tff(func_def_1124,type,
    rotate: 
      !>[X0: $tType] : ( nat > fun(list(X0),list(X0)) ) ).

tff(func_def_1125,type,
    rotate1: 
      !>[X0: $tType] : ( list(X0) > list(X0) ) ).

tff(func_def_1126,type,
    set_Cons: 
      !>[X0: $tType] : ( ( set(X0) * set(list(X0)) ) > set(list(X0)) ) ).

tff(func_def_1127,type,
    shuffles: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) ) > set(list(X0)) ) ).

tff(func_def_1128,type,
    shuffles_rel: 
      !>[X0: $tType] : fun(product_prod(list(X0),list(X0)),fun(product_prod(list(X0),list(X0)),$o)) ).

tff(func_def_1129,type,
    subseqs: 
      !>[X0: $tType] : ( list(X0) > list(list(X0)) ) ).

tff(func_def_1130,type,
    take: 
      !>[X0: $tType] : ( ( nat * list(X0) ) > list(X0) ) ).

tff(func_def_1131,type,
    takeWhile: 
      !>[X0: $tType] : ( ( fun(X0,$o) * list(X0) ) > list(X0) ) ).

tff(func_def_1132,type,
    transpose: 
      !>[X0: $tType] : ( list(list(X0)) > list(list(X0)) ) ).

tff(func_def_1133,type,
    upt: ( nat * nat ) > list(nat) ).

tff(func_def_1134,type,
    upto: ( int * int ) > list(int) ).

tff(func_def_1135,type,
    upto_rel: fun(product_prod(int,int),fun(product_prod(int,int),$o)) ).

tff(func_def_1136,type,
    zip: 
      !>[X0: $tType,X1: $tType] : ( ( list(X0) * list(X1) ) > list(product_prod(X0,X1)) ) ).

tff(func_def_1137,type,
    dom: 
      !>[X0: $tType,X1: $tType] : ( fun(X0,option(X1)) > set(X0) ) ).

tff(func_def_1138,type,
    graph: 
      !>[X0: $tType,X1: $tType] : ( fun(X0,option(X1)) > set(product_prod(X0,X1)) ) ).

tff(func_def_1139,type,
    map_add: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,option(X1)) * fun(X0,option(X1)) ) > fun(X0,option(X1)) ) ).

tff(func_def_1140,type,
    map_of: 
      !>[X0: $tType,X1: $tType] : ( list(product_prod(X0,X1)) > fun(X0,option(X1)) ) ).

tff(func_def_1141,type,
    map_upds: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,option(X1)) * list(X0) * list(X1) ) > fun(X0,option(X1)) ) ).

tff(func_def_1142,type,
    ran: 
      !>[X0: $tType,X1: $tType] : ( fun(X0,option(X1)) > set(X1) ) ).

tff(func_def_1143,type,
    restrict_map: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,option(X1)) * set(X0) ) > fun(X0,option(X1)) ) ).

tff(func_def_1144,type,
    representation: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,fun(X1,X1)) * set(X1) * X1 ) > fun(X1,X0) ) ).

tff(func_def_1145,type,
    span: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,fun(X1,X1)) * set(X1) ) > set(X1) ) ).

tff(func_def_1146,type,
    suc: fun(nat,nat) ).

tff(func_def_1147,type,
    compow: 
      !>[X0: $tType] : fun(nat,fun(X0,X0)) ).

tff(func_def_1148,type,
    funpow: 
      !>[X0: $tType] : fun(nat,fun(fun(X0,X0),fun(X0,X0))) ).

tff(func_def_1149,type,
    case_nat: 
      !>[X0: $tType] : ( ( X0 * fun(nat,X0) * nat ) > X0 ) ).

tff(func_def_1150,type,
    pred: nat > nat ).

tff(func_def_1151,type,
    rec_nat: 
      !>[X0: $tType] : ( ( X0 * fun(nat,fun(X0,X0)) ) > fun(nat,X0) ) ).

tff(func_def_1152,type,
    rec_set_nat: 
      !>[X0: $tType] : ( ( X0 * fun(nat,fun(X0,X0)) * nat ) > fun(X0,$o) ) ).

tff(func_def_1153,type,
    semiring_1_Nats: 
      !>[X0: $tType] : set(X0) ).

tff(func_def_1154,type,
    semiring_1_of_nat: 
      !>[X0: $tType] : fun(nat,X0) ).

tff(func_def_1155,type,
    semiri8178284476397505188at_aux: 
      !>[X0: $tType] : ( ( fun(X0,X0) * nat * X0 ) > X0 ) ).

tff(func_def_1156,type,
    size_size: 
      !>[X0: $tType] : fun(X0,nat) ).

tff(func_def_1157,type,
    nat_list_decode: nat > list(nat) ).

tff(func_def_1158,type,
    nat_list_decode_rel: fun(nat,fun(nat,$o)) ).

tff(func_def_1159,type,
    nat_list_encode: list(nat) > nat ).

tff(func_def_1160,type,
    nat_list_encode_rel: fun(list(nat),fun(list(nat),$o)) ).

tff(func_def_1161,type,
    nat_prod_decode: fun(nat,product_prod(nat,nat)) ).

tff(func_def_1162,type,
    nat_prod_decode_aux: nat > fun(nat,product_prod(nat,nat)) ).

tff(func_def_1163,type,
    nat_pr5047031295181774490ux_rel: fun(product_prod(nat,nat),fun(product_prod(nat,nat),$o)) ).

tff(func_def_1164,type,
    nat_prod_encode: product_prod(nat,nat) > nat ).

tff(func_def_1165,type,
    nat_set_decode: nat > set(nat) ).

tff(func_def_1166,type,
    nat_set_encode: fun(set(nat),nat) ).

tff(func_def_1167,type,
    root: nat > fun(real,real) ).

tff(func_def_1168,type,
    sqrt: real > real ).

tff(func_def_1169,type,
    bitM: num > num ).

tff(func_def_1170,type,
    inc: num > num ).

tff(func_def_1171,type,
    nat_of_num: fun(num,nat) ).

tff(func_def_1172,type,
    neg_numeral_dbl: 
      !>[X0: $tType] : ( X0 > X0 ) ).

tff(func_def_1173,type,
    neg_numeral_dbl_dec: 
      !>[X0: $tType] : ( X0 > X0 ) ).

tff(func_def_1174,type,
    neg_numeral_dbl_inc: 
      !>[X0: $tType] : ( X0 > X0 ) ).

tff(func_def_1175,type,
    neg_numeral_sub: 
      !>[X0: $tType] : ( ( num * num ) > X0 ) ).

tff(func_def_1176,type,
    bit0: num > num ).

tff(func_def_1177,type,
    bit1: num > num ).

tff(func_def_1178,type,
    one2: num ).

tff(func_def_1179,type,
    case_num: 
      !>[X0: $tType] : fun(X0,fun(fun(num,X0),fun(fun(num,X0),fun(num,X0)))) ).

tff(func_def_1180,type,
    rec_num: 
      !>[X0: $tType] : fun(X0,fun(fun(num,fun(X0,X0)),fun(fun(num,fun(X0,X0)),fun(num,X0)))) ).

tff(func_def_1181,type,
    size_num: num > nat ).

tff(func_def_1182,type,
    num_of_nat: nat > num ).

tff(func_def_1183,type,
    numeral_numeral: 
      !>[X0: $tType] : fun(num,X0) ).

tff(func_def_1184,type,
    pow: ( num * num ) > num ).

tff(func_def_1185,type,
    pred_numeral: num > nat ).

tff(func_def_1186,type,
    sqr: num > num ).

tff(func_def_1187,type,
    none: 
      !>[X0: $tType] : option(X0) ).

tff(func_def_1188,type,
    some: 
      !>[X0: $tType] : fun(X0,option(X0)) ).

tff(func_def_1189,type,
    case_option: 
      !>[X0: $tType,X1: $tType] : ( ( X0 * fun(X1,X0) * option(X1) ) > X0 ) ).

tff(func_def_1190,type,
    size_option: 
      !>[X0: $tType] : ( ( fun(X0,nat) * option(X0) ) > nat ) ).

tff(func_def_1191,type,
    the2: 
      !>[X0: $tType] : ( option(X0) > X0 ) ).

tff(func_def_1192,type,
    order_532582986084564980_cclfp: 
      !>[X0: $tType] : ( fun(X0,X0) > X0 ) ).

tff(func_def_1193,type,
    order_relation_of: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,$o)) * set(X0) ) > set(product_prod(X0,X0)) ) ).

tff(func_def_1194,type,
    order_under: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * X0 ) > set(X0) ) ).

tff(func_def_1195,type,
    order_underS: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * X0 ) > set(X0) ) ).

tff(func_def_1196,type,
    bot_bot: 
      !>[X0: $tType] : X0 ).

tff(func_def_1197,type,
    least: 
      !>[X0: $tType] : ( fun(X0,fun(X0,$o)) > fun(fun(X0,$o),X0) ) ).

tff(func_def_1198,type,
    max: 
      !>[X0: $tType] : ( fun(X0,fun(X0,$o)) > fun(X0,fun(X0,X0)) ) ).

tff(func_def_1199,type,
    min: 
      !>[X0: $tType] : ( fun(X0,fun(X0,$o)) > fun(X0,fun(X0,X0)) ) ).

tff(func_def_1200,type,
    ord_Least: 
      !>[X0: $tType] : ( fun(X0,$o) > X0 ) ).

tff(func_def_1201,type,
    ord_less: 
      !>[X0: $tType] : fun(X0,fun(X0,$o)) ).

tff(func_def_1202,type,
    ord_less_eq: 
      !>[X0: $tType] : fun(X0,fun(X0,$o)) ).

tff(func_def_1203,type,
    ord_max: 
      !>[X0: $tType] : fun(X0,fun(X0,X0)) ).

tff(func_def_1204,type,
    ord_min: 
      !>[X0: $tType] : fun(X0,fun(X0,X0)) ).

tff(func_def_1205,type,
    order_Greatest: 
      !>[X0: $tType] : ( fun(X0,$o) > X0 ) ).

tff(func_def_1206,type,
    order_mono: 
      !>[X0: $tType,X1: $tType] : fun(fun(X0,X1),$o) ).

tff(func_def_1207,type,
    top_top: 
      !>[X0: $tType] : X0 ).

tff(func_def_1208,type,
    partial_flat_lub: 
      !>[X0: $tType] : ( ( X0 * set(X0) ) > X0 ) ).

tff(func_def_1209,type,
    power2: 
      !>[X0: $tType] : ( ( X0 * fun(X0,fun(X0,X0)) * X0 * nat ) > X0 ) ).

tff(func_def_1210,type,
    power_power: 
      !>[X0: $tType] : fun(X0,fun(nat,X0)) ).

tff(func_def_1211,type,
    product_Pair: 
      !>[X0: $tType,X1: $tType] : ( X0 > fun(X1,product_prod(X0,X1)) ) ).

tff(func_def_1212,type,
    product_Sigma: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,set(X1)) ) > set(product_prod(X0,X1)) ) ).

tff(func_def_1213,type,
    product_case_prod: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( fun(X0,fun(X1,X2)) > fun(product_prod(X0,X1),X2) ) ).

tff(func_def_1214,type,
    product_fst: 
      !>[X0: $tType,X1: $tType] : fun(product_prod(X0,X1),X0) ).

tff(func_def_1215,type,
    product_snd: 
      !>[X0: $tType,X1: $tType] : fun(product_prod(X0,X1),X1) ).

tff(func_def_1216,type,
    product_Abs_unit: fun($o,product_unit) ).

tff(func_def_1217,type,
    product_Rep_unit: fun(product_unit,$o) ).

tff(func_def_1218,type,
    type2: 
      !>[X0: $tType] : itself(X0) ).

tff(func_def_1219,type,
    quot_abs: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,fun(X0,$o)) * fun(set(X0),X1) ) > fun(X0,X1) ) ).

tff(func_def_1220,type,
    quot_rep: 
      !>[X0: $tType,X1: $tType] : ( fun(X0,set(X1)) > fun(X0,X1) ) ).

tff(func_def_1221,type,
    fract: ( int * int ) > rat ).

tff(func_def_1222,type,
    field_char_0_Rats: 
      !>[X0: $tType] : set(X0) ).

tff(func_def_1223,type,
    field_char_0_of_rat: 
      !>[X0: $tType] : ( rat > X0 ) ).

tff(func_def_1224,type,
    quotient_of: rat > product_prod(int,int) ).

tff(func_def_1225,type,
    real2: fun(fun(nat,rat),real) ).

tff(func_def_1226,type,
    cauchy: fun(fun(nat,rat),$o) ).

tff(func_def_1227,type,
    cr_real: fun(fun(nat,rat),fun(real,$o)) ).

tff(func_def_1228,type,
    pcr_real: fun(fun(nat,rat),fun(real,$o)) ).

tff(func_def_1229,type,
    positive: fun(real,$o) ).

tff(func_def_1230,type,
    abs_real: fun(set(fun(nat,rat)),real) ).

tff(func_def_1231,type,
    rep_real: fun(real,set(fun(nat,rat))) ).

tff(func_def_1232,type,
    realrel: fun(fun(nat,rat),fun(fun(nat,rat),$o)) ).

tff(func_def_1233,type,
    rep_real2: fun(real,fun(nat,rat)) ).

tff(func_def_1234,type,
    real_Vector_Reals: 
      !>[X0: $tType] : set(X0) ).

tff(func_def_1235,type,
    real_V4425403222259421789struct: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,X1) * X0 ) > X1 ) ).

tff(func_def_1236,type,
    real_Vector_dim: 
      !>[X0: $tType] : ( set(X0) > nat ) ).

tff(func_def_1237,type,
    real_V557655796197034286t_dist: 
      !>[X0: $tType] : ( ( X0 * X0 ) > real ) ).

tff(func_def_1238,type,
    real_V4986007116245087402_basis: 
      !>[X0: $tType] : ( set(X0) > set(X0) ) ).

tff(func_def_1239,type,
    real_V7770717601297561774m_norm: 
      !>[X0: $tType] : ( X0 > real ) ).

tff(func_def_1240,type,
    real_Vector_of_real: 
      !>[X0: $tType] : ( real > X0 ) ).

tff(func_def_1241,type,
    real_V7696804695334737415tation: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > fun(X0,real) ) ).

tff(func_def_1242,type,
    real_V8093663219630862766scaleR: 
      !>[X0: $tType] : fun(real,fun(X0,X0)) ).

tff(func_def_1243,type,
    real_Vector_span: 
      !>[X0: $tType] : ( set(X0) > set(X0) ) ).

tff(func_def_1244,type,
    domainp: 
      !>[X0: $tType,X1: $tType] : ( fun(X0,fun(X1,$o)) > fun(X0,$o) ) ).

tff(func_def_1245,type,
    field2: 
      !>[X0: $tType] : ( set(product_prod(X0,X0)) > set(X0) ) ).

tff(func_def_1246,type,
    id2: 
      !>[X0: $tType] : set(product_prod(X0,X0)) ).

tff(func_def_1247,type,
    id_on: 
      !>[X0: $tType] : ( set(X0) > set(product_prod(X0,X0)) ) ).

tff(func_def_1248,type,
    image: 
      !>[X0: $tType,X1: $tType] : ( set(product_prod(X0,X1)) > fun(set(X0),set(X1)) ) ).

tff(func_def_1249,type,
    converse: 
      !>[X0: $tType,X1: $tType] : ( set(product_prod(X0,X1)) > set(product_prod(X1,X0)) ) ).

tff(func_def_1250,type,
    conversep: 
      !>[X0: $tType,X1: $tType] : ( fun(X0,fun(X1,$o)) > fun(X1,fun(X0,$o)) ) ).

tff(func_def_1251,type,
    inv_image: 
      !>[X0: $tType,X1: $tType] : ( ( set(product_prod(X0,X0)) * fun(X1,X0) ) > set(product_prod(X1,X1)) ) ).

tff(func_def_1252,type,
    relcomp: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( set(product_prod(X0,X1)) * set(product_prod(X1,X2)) ) > set(product_prod(X0,X2)) ) ).

tff(func_def_1253,type,
    relcompp: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( fun(X0,fun(X1,$o)) * fun(X1,fun(X2,$o)) ) > fun(X0,fun(X2,$o)) ) ).

tff(func_def_1254,type,
    divide_divide: 
      !>[X0: $tType] : ( ( X0 * X0 ) > X0 ) ).

tff(func_def_1255,type,
    dvd_dvd: 
      !>[X0: $tType] : fun(X0,fun(X0,$o)) ).

tff(func_def_1256,type,
    modulo_modulo: 
      !>[X0: $tType] : ( ( X0 * X0 ) > X0 ) ).

tff(func_def_1257,type,
    zero_neq_one_of_bool: 
      !>[X0: $tType] : fun($o,X0) ).

tff(func_def_1258,type,
    suminf: 
      !>[X0: $tType] : ( fun(nat,X0) > X0 ) ).

tff(func_def_1259,type,
    collect: 
      !>[X0: $tType] : ( fun(X0,$o) > set(X0) ) ).

tff(func_def_1260,type,
    pow2: 
      !>[X0: $tType] : ( set(X0) > set(set(X0)) ) ).

tff(func_def_1261,type,
    bind: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,set(X1)) ) > set(X1) ) ).

tff(func_def_1262,type,
    disjnt: 
      !>[X0: $tType] : fun(set(X0),fun(set(X0),$o)) ).

tff(func_def_1263,type,
    filter3: 
      !>[X0: $tType] : ( ( fun(X0,$o) * set(X0) ) > set(X0) ) ).

tff(func_def_1264,type,
    image2: 
      !>[X0: $tType,X1: $tType] : ( fun(X0,X1) > fun(set(X0),set(X1)) ) ).

tff(func_def_1265,type,
    insert: 
      !>[X0: $tType] : fun(X0,fun(set(X0),set(X0))) ).

tff(func_def_1266,type,
    remove: 
      !>[X0: $tType] : fun(X0,fun(set(X0),set(X0))) ).

tff(func_def_1267,type,
    the_elem: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_1268,type,
    vimage: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * set(X1) ) > set(X0) ) ).

tff(func_def_1269,type,
    set_fo6178422350223883121st_nat: 
      !>[X0: $tType] : ( ( fun(nat,fun(X0,X0)) * nat * nat * X0 ) > X0 ) ).

tff(func_def_1270,type,
    set_fo1817059534552279752at_rel: 
      !>[X0: $tType] : fun(product_prod(fun(nat,fun(X0,X0)),product_prod(nat,product_prod(nat,X0))),fun(product_prod(fun(nat,fun(X0,X0)),product_prod(nat,product_prod(nat,X0))),$o)) ).

tff(func_def_1271,type,
    set_ord_atLeast: 
      !>[X0: $tType] : fun(X0,set(X0)) ).

tff(func_def_1272,type,
    set_or1337092689740270186AtMost: 
      !>[X0: $tType] : ( ( X0 * X0 ) > set(X0) ) ).

tff(func_def_1273,type,
    set_or7035219750837199246ssThan: 
      !>[X0: $tType] : ( ( X0 * X0 ) > set(X0) ) ).

tff(func_def_1274,type,
    set_ord_atMost: 
      !>[X0: $tType] : fun(X0,set(X0)) ).

tff(func_def_1275,type,
    set_ord_greaterThan: 
      !>[X0: $tType] : fun(X0,set(X0)) ).

tff(func_def_1276,type,
    set_or3652927894154168847AtMost: 
      !>[X0: $tType] : ( ( X0 * X0 ) > set(X0) ) ).

tff(func_def_1277,type,
    set_or5935395276787703475ssThan: 
      !>[X0: $tType] : ( ( X0 * X0 ) > set(X0) ) ).

tff(func_def_1278,type,
    set_ord_lessThan: 
      !>[X0: $tType] : fun(X0,set(X0)) ).

tff(func_def_1279,type,
    abort: 
      !>[X0: $tType] : ( ( literal * fun(product_unit,X0) ) > X0 ) ).

tff(func_def_1280,type,
    literal2: ( $o * $o * $o * $o * $o * $o * $o * literal ) > literal ).

tff(func_def_1281,type,
    char2: ( $o * $o * $o * $o * $o * $o * $o * $o ) > char ).

tff(func_def_1282,type,
    size_char: char > nat ).

tff(func_def_1283,type,
    comm_s6883823935334413003f_char: 
      !>[X0: $tType] : fun(char,X0) ).

tff(func_def_1284,type,
    unique5772411509450598832har_of: 
      !>[X0: $tType] : fun(X0,char) ).

tff(func_def_1285,type,
    sum_Plus: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * set(X1) ) > set(sum_sum(X0,X1)) ) ).

tff(func_def_1286,type,
    topolo3827282254853284352ce_Lim: 
      !>[X0: $tType,X1: $tType] : ( ( filter(X0) * fun(X0,X1) ) > X1 ) ).

tff(func_def_1287,type,
    topolo174197925503356063within: 
      !>[X0: $tType] : ( ( X0 * set(X0) ) > filter(X0) ) ).

tff(func_def_1288,type,
    topolo7230453075368039082e_nhds: 
      !>[X0: $tType] : ( X0 > filter(X0) ) ).

tff(func_def_1289,type,
    topolo7806501430040627800ormity: 
      !>[X0: $tType] : filter(product_prod(X0,X0)) ).

tff(func_def_1290,type,
    arccos: real > real ).

tff(func_def_1291,type,
    arcosh: 
      !>[X0: $tType] : fun(X0,X0) ).

tff(func_def_1292,type,
    arcsin: real > real ).

tff(func_def_1293,type,
    arctan: real > real ).

tff(func_def_1294,type,
    arsinh: 
      !>[X0: $tType] : ( X0 > X0 ) ).

tff(func_def_1295,type,
    artanh: 
      !>[X0: $tType] : fun(X0,X0) ).

tff(func_def_1296,type,
    cos: 
      !>[X0: $tType] : ( X0 > X0 ) ).

tff(func_def_1297,type,
    cos_coeff: nat > real ).

tff(func_def_1298,type,
    cosh: 
      !>[X0: $tType] : ( X0 > X0 ) ).

tff(func_def_1299,type,
    cot: 
      !>[X0: $tType] : fun(X0,X0) ).

tff(func_def_1300,type,
    diffs: 
      !>[X0: $tType] : ( fun(nat,X0) > fun(nat,X0) ) ).

tff(func_def_1301,type,
    exp: 
      !>[X0: $tType] : ( X0 > X0 ) ).

tff(func_def_1302,type,
    ln_ln: 
      !>[X0: $tType] : ( X0 > X0 ) ).

tff(func_def_1303,type,
    log: ( real * real ) > real ).

tff(func_def_1304,type,
    pi: real ).

tff(func_def_1305,type,
    powr: 
      !>[X0: $tType] : ( ( X0 * X0 ) > X0 ) ).

tff(func_def_1306,type,
    powr_real: ( real * real ) > real ).

tff(func_def_1307,type,
    sin: 
      !>[X0: $tType] : ( X0 > X0 ) ).

tff(func_def_1308,type,
    sin_coeff: nat > real ).

tff(func_def_1309,type,
    sinh: 
      !>[X0: $tType] : ( X0 > X0 ) ).

tff(func_def_1310,type,
    tan: 
      !>[X0: $tType] : fun(X0,X0) ).

tff(func_def_1311,type,
    tanh: 
      !>[X0: $tType] : fun(X0,X0) ).

tff(func_def_1312,type,
    transitive_ntrancl: 
      !>[X0: $tType] : ( ( nat * set(product_prod(X0,X0)) ) > set(product_prod(X0,X0)) ) ).

tff(func_def_1313,type,
    transitive_rtrancl: 
      !>[X0: $tType] : ( set(product_prod(X0,X0)) > set(product_prod(X0,X0)) ) ).

tff(func_def_1314,type,
    transitive_trancl: 
      !>[X0: $tType] : ( set(product_prod(X0,X0)) > set(product_prod(X0,X0)) ) ).

tff(func_def_1315,type,
    vEBT_Leaf: ( $o * $o ) > vEBT_VEBT ).

tff(func_def_1316,type,
    vEBT_Node: ( option(product_prod(nat,nat)) * nat * list(vEBT_VEBT) * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_1317,type,
    vEBT_rec_VEBT: 
      !>[X0: $tType] : ( ( fun(option(product_prod(nat,nat)),fun(nat,fun(list(product_prod(vEBT_VEBT,X0)),fun(vEBT_VEBT,fun(X0,X0))))) * fun($o,fun($o,X0)) * vEBT_VEBT ) > X0 ) ).

tff(func_def_1318,type,
    vEBT_size_VEBT: fun(vEBT_VEBT,nat) ).

tff(func_def_1319,type,
    vEBT_V8194947554948674370ptions: vEBT_VEBT > fun(nat,$o) ).

tff(func_def_1320,type,
    vEBT_VEBT_elim_dead: ( vEBT_VEBT * extended_enat ) > vEBT_VEBT ).

tff(func_def_1321,type,
    vEBT_V312737461966249ad_rel: fun(product_prod(vEBT_VEBT,extended_enat),fun(product_prod(vEBT_VEBT,extended_enat),$o)) ).

tff(func_def_1322,type,
    vEBT_VEBT_high: ( nat * nat ) > nat ).

tff(func_def_1323,type,
    vEBT_VEBT_low: ( nat * nat ) > nat ).

tff(func_def_1324,type,
    vEBT_V4351362008482014158ma_rel: fun(product_prod(vEBT_VEBT,nat),fun(product_prod(vEBT_VEBT,nat),$o)) ).

tff(func_def_1325,type,
    vEBT_V5765760719290551771er_rel: fun(product_prod(vEBT_VEBT,nat),fun(product_prod(vEBT_VEBT,nat),$o)) ).

tff(func_def_1326,type,
    vEBT_VEBT_valid_rel: fun(product_prod(vEBT_VEBT,nat),fun(product_prod(vEBT_VEBT,nat),$o)) ).

tff(func_def_1327,type,
    vEBT_set_vebt: vEBT_VEBT > set(nat) ).

tff(func_def_1328,type,
    vEBT_vebt_buildup: nat > vEBT_VEBT ).

tff(func_def_1329,type,
    vEBT_v4011308405150292612up_rel: fun(nat,fun(nat,$o)) ).

tff(func_def_1330,type,
    vEBT_vebt_delete: ( vEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_1331,type,
    vEBT_vebt_delete_rel: fun(product_prod(vEBT_VEBT,nat),fun(product_prod(vEBT_VEBT,nat),$o)) ).

tff(func_def_1332,type,
    vEBT_vebt_insert: ( vEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_1333,type,
    vEBT_vebt_insert_rel: fun(product_prod(vEBT_VEBT,nat),fun(product_prod(vEBT_VEBT,nat),$o)) ).

tff(func_def_1334,type,
    vEBT_VEBT_bit_concat: ( nat * nat * nat ) > nat ).

tff(func_def_1335,type,
    vEBT_V6963167321098673237ll_rel: fun(vEBT_VEBT,fun(vEBT_VEBT,$o)) ).

tff(func_def_1336,type,
    vEBT_VEBT_set_vebt: vEBT_VEBT > set(nat) ).

tff(func_def_1337,type,
    vEBT_vebt_member: vEBT_VEBT > fun(nat,$o) ).

tff(func_def_1338,type,
    vEBT_vebt_member_rel: fun(product_prod(vEBT_VEBT,nat),fun(product_prod(vEBT_VEBT,nat),$o)) ).

tff(func_def_1339,type,
    vEBT_VEBT_add: fun(option(nat),fun(option(nat),option(nat))) ).

tff(func_def_1340,type,
    vEBT_VEBT_mul: fun(option(nat),fun(option(nat),option(nat))) ).

tff(func_def_1341,type,
    vEBT_V2048590022279873568_shift: 
      !>[X0: $tType] : ( fun(X0,fun(X0,X0)) > fun(option(X0),fun(option(X0),option(X0))) ) ).

tff(func_def_1342,type,
    vEBT_VEBT_power: fun(option(nat),fun(option(nat),option(nat))) ).

tff(func_def_1343,type,
    vEBT_vebt_maxt: vEBT_VEBT > option(nat) ).

tff(func_def_1344,type,
    vEBT_vebt_maxt_rel: fun(vEBT_VEBT,fun(vEBT_VEBT,$o)) ).

tff(func_def_1345,type,
    vEBT_vebt_mint: vEBT_VEBT > option(nat) ).

tff(func_def_1346,type,
    vEBT_vebt_mint_rel: fun(vEBT_VEBT,fun(vEBT_VEBT,$o)) ).

tff(func_def_1347,type,
    vEBT_vebt_pred: ( vEBT_VEBT * nat ) > option(nat) ).

tff(func_def_1348,type,
    vEBT_vebt_pred_rel: fun(product_prod(vEBT_VEBT,nat),fun(product_prod(vEBT_VEBT,nat),$o)) ).

tff(func_def_1349,type,
    vEBT_vebt_succ: ( vEBT_VEBT * nat ) > option(nat) ).

tff(func_def_1350,type,
    vEBT_vebt_succ_rel: fun(product_prod(vEBT_VEBT,nat),fun(product_prod(vEBT_VEBT,nat),$o)) ).

tff(func_def_1351,type,
    accp: 
      !>[X0: $tType] : ( fun(X0,fun(X0,$o)) > fun(X0,$o) ) ).

tff(func_def_1352,type,
    finite_psubset: 
      !>[X0: $tType] : set(product_prod(set(X0),set(X0))) ).

tff(func_def_1353,type,
    less_than: set(product_prod(nat,nat)) ).

tff(func_def_1354,type,
    lex_prod: 
      !>[X0: $tType,X1: $tType] : ( ( set(product_prod(X0,X0)) * set(product_prod(X1,X1)) ) > set(product_prod(product_prod(X0,X1),product_prod(X0,X1))) ) ).

tff(func_def_1355,type,
    max_ext: 
      !>[X0: $tType] : ( set(product_prod(X0,X0)) > set(product_prod(set(X0),set(X0))) ) ).

tff(func_def_1356,type,
    measure: 
      !>[X0: $tType] : ( fun(X0,nat) > set(product_prod(X0,X0)) ) ).

tff(func_def_1357,type,
    min_ext: 
      !>[X0: $tType] : ( set(product_prod(X0,X0)) > set(product_prod(set(X0),set(X0))) ) ).

tff(func_def_1358,type,
    mlex_prod: 
      !>[X0: $tType] : ( ( fun(X0,nat) * set(product_prod(X0,X0)) ) > set(product_prod(X0,X0)) ) ).

tff(func_def_1359,type,
    pred_nat: set(product_prod(nat,nat)) ).

tff(func_def_1360,type,
    chains: 
      !>[X0: $tType] : ( set(product_prod(X0,X0)) > set(set(X0)) ) ).

tff(func_def_1361,type,
    chains2: 
      !>[X0: $tType] : ( set(set(X0)) > set(set(set(X0))) ) ).

tff(func_def_1362,type,
    init_seg_of: 
      !>[X0: $tType] : set(product_prod(set(product_prod(X0,X0)),set(product_prod(X0,X0)))) ).

tff(func_def_1363,type,
    pred_chain: 
      !>[X0: $tType] : ( ( set(X0) * fun(X0,fun(X0,$o)) ) > fun(set(X0),$o) ) ).

tff(func_def_1364,type,
    pred_suc: 
      !>[X0: $tType] : ( ( set(X0) * fun(X0,fun(X0,$o)) * set(X0) ) > set(X0) ) ).

tff(func_def_1365,type,
    aa: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * X0 ) > X1 ) ).

tff(func_def_1366,type,
    fChoice: 
      !>[X0: $tType] : ( fun(X0,$o) > X0 ) ).

tff(func_def_1367,type,
    fequal: 
      !>[X0: $tType] : fun(X0,fun(X0,$o)) ).

tff(func_def_1368,type,
    n: nat ).

tff(func_def_1369,type,
    t: vEBT_VEBT ).

tff(func_def_1370,type,
    x: nat ).

tff(func_def_1371,type,
    l0: nat ).

tff(func_def_1372,type,
    h1: nat ).

tff(func_def_1373,type,
    minlow2: option(nat) ).

tff(func_def_1374,type,
    pr3: option(nat) ).

tff(func_def_1375,type,
    l4: nat ).

tff(func_def_1376,type,
    h5: nat ).

tff(func_def_1377,type,
    minlow6: option(nat) ).

tff(func_def_1378,type,
    pr7: option(nat) ).

tff(func_def_1379,type,
    newnode8: vEBT_VEBT ).

tff(func_def_1380,type,
    newlist9: list(vEBT_VEBT) ).

tff(func_def_1381,type,
    sn10: vEBT_VEBT ).

tff(func_def_1382,type,
    maxs11: option(nat) ).

tff(func_def_1383,type,
    maxs12: option(nat) ).

tff(func_def_1384,type,
    sn13: vEBT_VEBT ).

tff(func_def_1385,type,
    maxs14: option(nat) ).

tff(func_def_1386,type,
    xn15: nat ).

tff(func_def_1387,type,
    h16: nat ).

tff(func_def_1388,type,
    newnode17: vEBT_VEBT ).

tff(func_def_1389,type,
    newlist18: list(vEBT_VEBT) ).

tff(func_def_1390,type,
    sn19: vEBT_VEBT ).

tff(func_def_1391,type,
    maxs20: option(nat) ).

tff(func_def_1392,type,
    maxs21: option(nat) ).

tff(func_def_1393,type,
    sn22: vEBT_VEBT ).

tff(func_def_1394,type,
    maxs23: option(nat) ).

tff(func_def_1395,type,
    newnode24: vEBT_VEBT ).

tff(func_def_1396,type,
    newlist25: list(vEBT_VEBT) ).

tff(func_def_1397,type,
    sn26: vEBT_VEBT ).

tff(func_def_1398,type,
    maxs27: option(nat) ).

tff(func_def_1399,type,
    xn28: nat ).

tff(func_def_1400,type,
    minn29: nat ).

tff(func_def_1401,type,
    h30: nat ).

tff(func_def_1402,type,
    newnode31: vEBT_VEBT ).

tff(func_def_1403,type,
    newlist32: list(vEBT_VEBT) ).

tff(func_def_1404,type,
    sn33: vEBT_VEBT ).

tff(func_def_1405,type,
    maxs34: option(nat) ).

tff(func_def_1406,type,
    l35: nat ).

tff(func_def_1407,type,
    h36: nat ).

tff(func_def_1408,type,
    maxlow37: option(nat) ).

tff(func_def_1409,type,
    sc38: option(nat) ).

tff(func_def_1410,type,
    l39: nat ).

tff(func_def_1411,type,
    h40: nat ).

tff(func_def_1412,type,
    maxlow41: option(nat) ).

tff(func_def_1413,type,
    sc42: option(nat) ).

tff(func_def_1414,type,
    m43: 
      !>[X0: $tType] : X0 ).

tff(func_def_1415,type,
    d44: int ).

tff(func_def_1416,type,
    pos45: nat ).

tff(func_def_1417,type,
    pos46: nat ).

tff(func_def_1418,type,
    h47: nat ).

tff(func_def_1419,type,
    pos48: nat ).

tff(func_def_1420,type,
    pos49: nat ).

tff(func_def_1421,type,
    pos50: nat ).

tff(func_def_1422,type,
    pos51: nat ).

tff(func_def_1423,type,
    xn52: nat ).

tff(func_def_1424,type,
    minn53: nat ).

tff(func_def_1425,type,
    h54: nat ).

tff(func_def_1426,type,
    newnode55: vEBT_VEBT ).

tff(func_def_1427,type,
    newlist56: list(vEBT_VEBT) ).

tff(func_def_1428,type,
    sn57: vEBT_VEBT ).

tff(func_def_1429,type,
    maxs58: option(nat) ).

tff(func_def_1430,type,
    pos59: nat ).

tff(func_def_1431,type,
    pos60: nat ).

tff(func_def_1432,type,
    h61: nat ).

tff(func_def_1433,type,
    pos62: nat ).

tff(func_def_1434,type,
    pos63: nat ).

tff(func_def_1435,type,
    pos64: nat ).

tff(func_def_1436,type,
    pos65: nat ).

tff(func_def_1437,type,
    xn66: nat ).

tff(func_def_1438,type,
    minn67: nat ).

tff(func_def_1439,type,
    h68: nat ).

tff(func_def_1440,type,
    newnode69: vEBT_VEBT ).

tff(func_def_1441,type,
    newlist70: list(vEBT_VEBT) ).

tff(func_def_1442,type,
    sn71: vEBT_VEBT ).

tff(func_def_1443,type,
    maxs72: option(nat) ).

tff(func_def_1444,type,
    h73: nat ).

tff(func_def_1445,type,
    h74: nat ).

tff(func_def_1446,type,
    l75: nat ).

tff(func_def_1447,type,
    h76: nat ).

tff(func_def_1448,type,
    maxlow77: option(nat) ).

tff(func_def_1449,type,
    sc78: option(nat) ).

tff(func_def_1450,type,
    l79: nat ).

tff(func_def_1451,type,
    h80: nat ).

tff(func_def_1452,type,
    minlow81: option(nat) ).

tff(func_def_1453,type,
    pr82: option(nat) ).

tff(func_def_1454,type,
    l83: nat ).

tff(func_def_1455,type,
    h84: nat ).

tff(func_def_1456,type,
    minlow85: option(nat) ).

tff(func_def_1457,type,
    pr86: option(nat) ).

tff(func_def_1458,type,
    l87: nat ).

tff(func_def_1459,type,
    h88: nat ).

tff(func_def_1460,type,
    maxlow89: option(nat) ).

tff(func_def_1461,type,
    sc90: option(nat) ).

tff(func_def_1462,type,
    l91: 
      !>[X0: $tType] : X0 ).

tff(func_def_1463,type,
    xn92: nat ).

tff(func_def_1464,type,
    h93: nat ).

tff(func_def_1465,type,
    l94: nat ).

tff(func_def_1466,type,
    h95: nat ).

tff(func_def_1467,type,
    maxlow96: option(nat) ).

tff(func_def_1468,type,
    sc97: option(nat) ).

tff(func_def_1469,type,
    l98: nat ).

tff(func_def_1470,type,
    h99: nat ).

tff(func_def_1471,type,
    minlow100: option(nat) ).

tff(func_def_1472,type,
    pr101: option(nat) ).

tff(func_def_1473,type,
    xn102: nat ).

tff(func_def_1474,type,
    h103: nat ).

tff(func_def_1475,type,
    xn104: nat ).

tff(func_def_1476,type,
    minn105: nat ).

tff(func_def_1477,type,
    h106: nat ).

tff(func_def_1478,type,
    newnode107: vEBT_VEBT ).

tff(func_def_1479,type,
    newlist108: list(vEBT_VEBT) ).

tff(func_def_1480,type,
    sn109: vEBT_VEBT ).

tff(func_def_1481,type,
    maxs110: option(nat) ).

tff(func_def_1482,type,
    xn111: nat ).

tff(func_def_1483,type,
    h112: nat ).

tff(func_def_1484,type,
    h113: nat ).

tff(func_def_1485,type,
    h114: nat ).

tff(func_def_1486,type,
    pos115: nat ).

tff(func_def_1487,type,
    pos116: nat ).

tff(func_def_1488,type,
    h117: nat ).

tff(func_def_1489,type,
    pos118: nat ).

tff(func_def_1490,type,
    pos119: nat ).

tff(func_def_1491,type,
    pos120: nat ).

tff(func_def_1492,type,
    pos121: nat ).

tff(func_def_1493,type,
    pos122: nat ).

tff(func_def_1494,type,
    pos123: nat ).

tff(func_def_1495,type,
    pos124: nat ).

tff(func_def_1496,type,
    half125: nat ).

tff(func_def_1497,type,
    half126: nat ).

tff(func_def_1498,type,
    half127: nat ).

tff(func_def_1499,type,
    half128: nat ).

tff(func_def_1500,type,
    half129: nat ).

tff(func_def_1501,type,
    half130: nat ).

tff(func_def_1502,type,
    m131: 
      !>[X0: $tType] : X0 ).

tff(func_def_1503,type,
    pv132: nat ).

tff(func_def_1504,type,
    pv133: nat ).

tff(func_def_1505,type,
    l134: 
      !>[X0: $tType] : X0 ).

tff(func_def_1506,type,
    n2135: nat ).

tff(func_def_1507,type,
    m136: nat ).

tff(func_def_1508,type,
    n2137: nat ).

tff(func_def_1509,type,
    m138: nat ).

tff(func_def_1510,type,
    n2139: nat ).

tff(func_def_1511,type,
    m140: nat ).

tff(func_def_1512,type,
    n2141: nat ).

tff(func_def_1513,type,
    m142: nat ).

tff(func_def_1514,type,
    n2143: nat ).

tff(func_def_1515,type,
    m144: nat ).

tff(func_def_1516,type,
    n2145: nat ).

tff(func_def_1517,type,
    m146: nat ).

tff(func_def_1518,type,
    n2147: nat ).

tff(func_def_1519,type,
    m148: nat ).

tff(func_def_1520,type,
    m149: 
      !>[X0: $tType] : X0 ).

tff(func_def_1521,type,
    m150: 
      !>[X0: $tType] : X0 ).

tff(func_def_1522,type,
    m151: 
      !>[X0: $tType] : X0 ).

tff(func_def_1523,type,
    m152: nat ).

tff(func_def_1524,type,
    m153: nat ).

tff(func_def_1525,type,
    m2154: a ).

tff(func_def_1526,type,
    l2155: num ).

tff(func_def_1527,type,
    l3156: num ).

tff(func_def_1528,type,
    l2157: nat ).

tff(func_def_1529,type,
    l3158: nat ).

tff(func_def_1532,type,
    sK159: ( set(nat) * nat ) > nat ).

tff(func_def_1533,type,
    sK160: ( set(nat) * nat ) > nat ).

tff(func_def_1534,type,
    sK161: ( nat * set(nat) ) > nat ).

tff(func_def_1535,type,
    sK162: ( nat * set(nat) ) > nat ).

tff(func_def_1536,type,
    sK168: 
      !>[X0: $tType] : ( fun(set(X0),$o) > set(X0) ) ).

tff(func_def_1537,type,
    sK169: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * fun(X1,$o) ) > X1 ) ).

tff(func_def_1538,type,
    sK170: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * fun(X1,$o) ) > X1 ) ).

tff(func_def_1539,type,
    sK171: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,fun(X0,$o)) ) > X1 ) ).

tff(func_def_1540,type,
    sK172: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,fun(X0,$o)) ) > fun(X1,X0) ) ).

tff(func_def_1541,type,
    sK173: 
      !>[X0: $tType] : ( ( fun(X0,$o) * fun(X0,nat) ) > X0 ) ).

tff(func_def_1542,type,
    sK174: fun(nat,$o) > nat ).

tff(func_def_1543,type,
    sK175: fun(nat,$o) > nat ).

tff(func_def_1544,type,
    sK176: 
      !>[X0: $tType] : ( ( fun(X0,$o) * fun(X0,$o) ) > X0 ) ).

tff(func_def_1545,type,
    sK177: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * fun(X1,X0) ) > X1 ) ).

tff(func_def_1546,type,
    sK178: 
      !>[X0: $tType] : ( ( fun(X0,nat) * fun(X0,$o) ) > X0 ) ).

tff(func_def_1547,type,
    sK179: 
      !>[X0: $tType] : ( ( fun(X0,nat) * fun(X0,$o) ) > X0 ) ).

tff(func_def_1548,type,
    sK180: fun(nat,$o) > nat ).

tff(func_def_1549,type,
    sK181: vEBT_VEBT > option(product_prod(nat,nat)) ).

tff(func_def_1550,type,
    sK182: vEBT_VEBT > nat ).

tff(func_def_1551,type,
    sK183: vEBT_VEBT > list(vEBT_VEBT) ).

tff(func_def_1552,type,
    sK184: vEBT_VEBT > vEBT_VEBT ).

tff(func_def_1553,type,
    sK187: ( vEBT_VEBT * nat * nat ) > nat ).

tff(func_def_1554,type,
    sK188: ( vEBT_VEBT * nat * nat ) > nat ).

tff(func_def_1555,type,
    sK195: set(nat) > nat ).

tff(func_def_1556,type,
    sK196: ( set(nat) * nat ) > nat ).

tff(func_def_1557,type,
    sK197: set(nat) > nat ).

tff(func_def_1558,type,
    sK198: ( set(nat) * nat ) > nat ).

tff(func_def_1559,type,
    sK199: ( set(nat) * nat ) > nat ).

tff(func_def_1560,type,
    sK200: ( nat * set(nat) ) > nat ).

tff(func_def_1561,type,
    sK201: ( set(nat) * nat ) > nat ).

tff(func_def_1562,type,
    sK202: ( set(nat) * nat ) > nat ).

tff(func_def_1563,type,
    sK203: ( fun(nat,$o) * nat ) > nat ).

tff(func_def_1564,type,
    sK204: fun(nat,$o) > nat ).

tff(func_def_1565,type,
    sK205: ( fun(nat,$o) * nat ) > nat ).

tff(func_def_1566,type,
    sK206: fun(nat,$o) > nat ).

tff(func_def_1567,type,
    sK207: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_1568,type,
    sK208: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_1569,type,
    sK209: 
      !>[X0: $tType] : ( fun(X0,fun(X0,$o)) > X0 ) ).

tff(func_def_1570,type,
    sK210: 
      !>[X0: $tType] : ( fun(X0,fun(X0,$o)) > X0 ) ).

tff(func_def_1571,type,
    sK211: 
      !>[X0: $tType] : ( fun(X0,fun(X0,$o)) > X0 ) ).

tff(func_def_1572,type,
    sK212: 
      !>[X0: $tType] : ( fun(X0,fun(X0,$o)) > X0 ) ).

tff(func_def_1573,type,
    sK213: 
      !>[X0: $tType] : ( ( set(X0) * fun(X0,fun(X0,$o)) ) > X0 ) ).

tff(func_def_1574,type,
    sK214: set(nat) > nat ).

tff(func_def_1575,type,
    sK215: ( set(nat) * nat ) > nat ).

tff(func_def_1576,type,
    sK216: set(nat) > nat ).

tff(func_def_1577,type,
    sK217: ( set(nat) * nat ) > nat ).

tff(func_def_1578,type,
    sK218: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_1579,type,
    sK219: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_1580,type,
    sK220: fun(nat,nat) > nat ).

tff(func_def_1581,type,
    sK221: fun(nat,nat) > nat ).

tff(func_def_1582,type,
    sK224: ( fun(nat,$o) * nat ) > nat ).

tff(func_def_1583,type,
    sK227: ( set(nat) * nat * nat ) > nat ).

tff(func_def_1584,type,
    sK228: ( set(nat) * nat * nat ) > nat ).

tff(func_def_1585,type,
    sK229: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_1586,type,
    sK230: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_1587,type,
    sK231: 
      !>[X0: $tType] : ( fun(X0,$o) > X0 ) ).

tff(func_def_1588,type,
    sK232: 
      !>[X0: $tType] : ( fun(X0,$o) > X0 ) ).

tff(func_def_1589,type,
    sK233: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_1590,type,
    sK234: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_1591,type,
    sK235: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_1592,type,
    sK236: 
      !>[X0: $tType] : ( ( fun(X0,$o) * fun(X0,nat) ) > X0 ) ).

tff(func_def_1593,type,
    sK237: 
      !>[X0: $tType] : ( ( fun(X0,$o) * fun(X0,nat) * nat ) > X0 ) ).

tff(func_def_1594,type,
    sK238: 
      !>[X0: $tType] : ( ( fun(X0,$o) * fun(X0,nat) ) > X0 ) ).

tff(func_def_1595,type,
    sK239: ( nat * fun(nat,$o) ) > nat ).

tff(func_def_1596,type,
    sK240: ( nat * fun(nat,$o) ) > nat ).

tff(func_def_1597,type,
    sK241: 
      !>[X0: $tType] : ( ( X0 * X0 ) > X0 ) ).

tff(func_def_1598,type,
    sK242: 
      !>[X0: $tType] : ( ( set(X0) * set(X0) ) > X0 ) ).

tff(func_def_1599,type,
    sK243: 
      !>[X0: $tType] : ( ( set(X0) * set(X0) ) > X0 ) ).

tff(func_def_1600,type,
    sK244: 
      !>[X0: $tType] : ( ( set(X0) * set(X0) ) > X0 ) ).

tff(func_def_1601,type,
    sK245: 
      !>[X0: $tType] : ( ( fun(X0,$o) * fun(X0,$o) ) > X0 ) ).

tff(func_def_1602,type,
    sK246: 
      !>[X0: $tType] : ( ( fun(X0,$o) * fun(X0,$o) ) > X0 ) ).

tff(func_def_1603,type,
    sK249: 
      !>[X0: $tType] : ( fun(X0,fun(X0,$o)) > X0 ) ).

tff(func_def_1604,type,
    sK250: 
      !>[X0: $tType] : ( fun(X0,fun(X0,$o)) > X0 ) ).

tff(func_def_1605,type,
    sK251: 
      !>[X0: $tType] : ( fun(X0,fun(X0,$o)) > X0 ) ).

tff(func_def_1606,type,
    sK252: 
      !>[X0: $tType] : ( fun(X0,fun(X0,$o)) > X0 ) ).

tff(func_def_1607,type,
    sK253: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * fun(X1,X0) ) > X1 ) ).

tff(func_def_1608,type,
    sK254: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * fun(X1,X0) ) > X1 ) ).

tff(func_def_1609,type,
    sK255: 
      !>[X0: $tType,X1: $tType] : ( fun(X1,X0) > X1 ) ).

tff(func_def_1610,type,
    sK256: 
      !>[X0: $tType,X1: $tType] : ( fun(X1,X0) > X1 ) ).

tff(func_def_1611,type,
    sK257: 
      !>[X0: $tType,X1: $tType] : ( fun(X0,X1) > X0 ) ).

tff(func_def_1612,type,
    sK258: 
      !>[X0: $tType,X1: $tType] : ( fun(X0,X1) > X0 ) ).

tff(func_def_1613,type,
    sK259: 
      !>[X0: $tType,X1: $tType] : ( fun(X1,X0) > X1 ) ).

tff(func_def_1614,type,
    sK260: 
      !>[X0: $tType,X1: $tType] : ( fun(X1,X0) > X1 ) ).

tff(func_def_1615,type,
    sK261: 
      !>[X0: $tType,X1: $tType] : ( fun(X0,X1) > X0 ) ).

tff(func_def_1616,type,
    sK262: 
      !>[X0: $tType,X1: $tType] : ( fun(X0,X1) > X0 ) ).

tff(func_def_1617,type,
    sK263: 
      !>[X0: $tType] : ( X0 > X0 ) ).

tff(func_def_1618,type,
    sK264: 
      !>[X0: $tType] : ( X0 > X0 ) ).

tff(func_def_1619,type,
    sK265: 
      !>[X0: $tType] : ( ( X0 * X0 ) > X0 ) ).

tff(func_def_1620,type,
    sK266: 
      !>[X0: $tType] : ( fun(X0,$o) > X0 ) ).

tff(func_def_1621,type,
    sK267: 
      !>[X0: $tType] : ( fun(X0,$o) > X0 ) ).

tff(func_def_1622,type,
    sK268: 
      !>[X0: $tType] : ( fun(X0,$o) > X0 ) ).

tff(func_def_1623,type,
    sK269: 
      !>[X0: $tType] : ( ( fun(X0,$o) * X0 ) > X0 ) ).

tff(func_def_1624,type,
    sK270: 
      !>[X0: $tType] : ( fun(X0,fun(X0,$o)) > X0 ) ).

tff(func_def_1625,type,
    sK271: 
      !>[X0: $tType] : ( fun(X0,fun(X0,$o)) > X0 ) ).

tff(func_def_1626,type,
    sK272: 
      !>[X0: $tType] : ( fun(X0,fun(X0,$o)) > X0 ) ).

tff(func_def_1627,type,
    sK273: 
      !>[X0: $tType] : ( fun(X0,fun(X0,$o)) > X0 ) ).

tff(func_def_1628,type,
    sK274: 
      !>[X0: $tType] : ( fun(X0,fun(X0,$o)) > X0 ) ).

tff(func_def_1629,type,
    sK275: 
      !>[X0: $tType,X1: $tType] : ( fun(X1,X0) > X1 ) ).

tff(func_def_1630,type,
    sK276: 
      !>[X0: $tType,X1: $tType] : ( fun(X1,X0) > X1 ) ).

tff(func_def_1631,type,
    sK277: 
      !>[X0: $tType,X1: $tType] : ( fun(X0,X1) > X0 ) ).

tff(func_def_1632,type,
    sK278: 
      !>[X0: $tType,X1: $tType] : ( fun(X0,X1) > X0 ) ).

tff(func_def_1633,type,
    sK279: 
      !>[X0: $tType,X1: $tType] : ( fun(X1,X0) > X1 ) ).

tff(func_def_1634,type,
    sK280: 
      !>[X0: $tType,X1: $tType] : ( fun(X1,X0) > X1 ) ).

tff(func_def_1635,type,
    sK281: 
      !>[X0: $tType,X1: $tType] : ( fun(X0,X1) > X0 ) ).

tff(func_def_1636,type,
    sK282: 
      !>[X0: $tType,X1: $tType] : ( fun(X0,X1) > X0 ) ).

tff(func_def_1637,type,
    sK283: 
      !>[X0: $tType] : ( ( X0 * X0 ) > X0 ) ).

tff(func_def_1638,type,
    sK284: 
      !>[X0: $tType] : ( ( X0 * X0 ) > X0 ) ).

tff(func_def_1639,type,
    sK285: 
      !>[X0: $tType] : ( ( X0 * X0 * X0 ) > X0 ) ).

tff(func_def_1640,type,
    sK286: 
      !>[X0: $tType] : ( ( X0 * X0 * X0 ) > X0 ) ).

tff(func_def_1641,type,
    sK287: 
      !>[X0: $tType,X1: $tType] : ( fun(X1,X0) > X1 ) ).

tff(func_def_1642,type,
    sK288: 
      !>[X0: $tType,X1: $tType] : ( fun(X1,X0) > X1 ) ).

tff(func_def_1643,type,
    sK289: 
      !>[X0: $tType,X1: $tType] : ( fun(X0,X1) > X0 ) ).

tff(func_def_1644,type,
    sK290: 
      !>[X0: $tType,X1: $tType] : ( fun(X0,X1) > X0 ) ).

tff(func_def_1645,type,
    sK291: 
      !>[X0: $tType,X1: $tType] : ( fun(X1,X0) > X1 ) ).

tff(func_def_1646,type,
    sK292: 
      !>[X0: $tType,X1: $tType] : ( fun(X1,X0) > X1 ) ).

tff(func_def_1647,type,
    sK293: 
      !>[X0: $tType,X1: $tType] : ( fun(X0,X1) > X0 ) ).

tff(func_def_1648,type,
    sK294: 
      !>[X0: $tType,X1: $tType] : ( fun(X0,X1) > X0 ) ).

tff(func_def_1649,type,
    sK295: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_1650,type,
    sK296: 
      !>[X0: $tType] : ( X0 > X0 ) ).

tff(func_def_1651,type,
    sK297: 
      !>[X0: $tType] : ( X0 > X0 ) ).

tff(func_def_1652,type,
    sK298: 
      !>[X0: $tType] : ( X0 > X0 ) ).

tff(func_def_1653,type,
    sK299: 
      !>[X0: $tType] : ( X0 > X0 ) ).

tff(func_def_1654,type,
    sK300: 
      !>[X0: $tType] : ( ( X0 * X0 * fun(X0,$o) ) > X0 ) ).

tff(func_def_1655,type,
    sK301: 
      !>[X0: $tType] : ( ( X0 * fun(X0,$o) * X0 ) > X0 ) ).

tff(func_def_1656,type,
    sK302: ( vEBT_VEBT * nat ) > option(product_prod(nat,nat)) ).

tff(func_def_1657,type,
    sK303: ( vEBT_VEBT * nat ) > list(vEBT_VEBT) ).

tff(func_def_1658,type,
    sK304: ( vEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_1659,type,
    sK305: vEBT_VEBT > nat ).

tff(func_def_1660,type,
    sK306: nat > nat ).

tff(func_def_1661,type,
    sK307: fun(nat,$o) > nat ).

tff(func_def_1662,type,
    sK308: fun(nat,fun(nat,$o)) > nat ).

tff(func_def_1663,type,
    sK309: fun(nat,fun(nat,$o)) > nat ).

tff(func_def_1664,type,
    sK310: fun(nat,fun(nat,$o)) > nat ).

tff(func_def_1665,type,
    sK311: fun(nat,fun(nat,$o)) > nat ).

tff(func_def_1666,type,
    sK312: fun(nat,$o) > nat ).

tff(func_def_1667,type,
    sK313: nat > nat ).

tff(func_def_1668,type,
    sK314: nat > nat ).

tff(func_def_1669,type,
    sK315: ( nat * fun(nat,$o) ) > nat ).

tff(func_def_1670,type,
    sK316: ( nat * fun(nat,$o) ) > nat ).

tff(func_def_1671,type,
    sK317: fun(nat,fun(nat,$o)) > nat ).

tff(func_def_1672,type,
    sK318: fun(nat,fun(nat,$o)) > nat ).

tff(func_def_1673,type,
    sK319: fun(nat,fun(nat,$o)) > nat ).

tff(func_def_1674,type,
    sK320: fun(nat,fun(nat,$o)) > nat ).

tff(func_def_1675,type,
    sK321: ( nat * nat ) > nat ).

tff(func_def_1676,type,
    sK322: ( nat * fun(nat,$o) ) > nat ).

tff(func_def_1677,type,
    sK323: ( nat * fun(nat,$o) ) > nat ).

tff(func_def_1678,type,
    sK324: ( nat * fun(nat,$o) ) > nat ).

tff(func_def_1679,type,
    sK325: ( nat * fun(nat,$o) ) > nat ).

tff(func_def_1680,type,
    sK326: ( nat * nat ) > nat ).

tff(func_def_1681,type,
    sK327: ( nat * nat ) > nat ).

tff(func_def_1682,type,
    sK328: nat > nat ).

tff(func_def_1683,type,
    sK329: fun(nat,$o) > nat ).

tff(func_def_1684,type,
    sK330: ( nat * fun(nat,$o) ) > nat ).

tff(func_def_1685,type,
    sK331: fun(nat,fun(nat,$o)) > nat ).

tff(func_def_1686,type,
    sK332: fun(nat,fun(nat,$o)) > nat ).

tff(func_def_1687,type,
    sK333: fun(nat,fun(nat,$o)) > nat ).

tff(func_def_1688,type,
    sK334: fun(nat,fun(nat,$o)) > nat ).

tff(func_def_1689,type,
    sK335: fun(nat,fun(nat,$o)) > nat ).

tff(func_def_1690,type,
    sK336: 
      !>[X0: $tType] : ( fun(nat,X0) > nat ) ).

tff(func_def_1691,type,
    sK337: 
      !>[X0: $tType] : ( fun(nat,X0) > nat ) ).

tff(func_def_1692,type,
    sK338: 
      !>[X0: $tType] : ( fun(nat,X0) > nat ) ).

tff(func_def_1693,type,
    sK339: 
      !>[X0: $tType] : ( fun(nat,X0) > nat ) ).

tff(func_def_1694,type,
    sK340: ( nat * nat ) > nat ).

tff(func_def_1695,type,
    sK341: nat > nat ).

tff(func_def_1696,type,
    sK342: ( nat * fun(nat,$o) ) > nat ).

tff(func_def_1697,type,
    sK343: ( nat * fun(nat,$o) ) > nat ).

tff(func_def_1698,type,
    sK344: nat > nat ).

tff(func_def_1699,type,
    sK345: ( nat * fun(nat,$o) ) > nat ).

tff(func_def_1700,type,
    sK346: ( nat * fun(nat,$o) ) > nat ).

tff(func_def_1701,type,
    sK347: ( nat * nat * fun(nat,$o) ) > nat ).

tff(func_def_1702,type,
    sK348: ( nat * nat * fun(nat,$o) ) > nat ).

tff(func_def_1703,type,
    sK350: ( fun(nat,$o) * nat ) > nat ).

tff(func_def_1704,type,
    sK351: 
      !>[X0: $tType] : ( X0 > X0 ) ).

tff(func_def_1705,type,
    sK352: 
      !>[X0: $tType] : ( ( fun(X0,$o) * fun(X0,$o) * fun(X0,$o) * fun(X0,$o) ) > X0 ) ).

tff(func_def_1706,type,
    sK353: 
      !>[X0: $tType] : ( ( fun(X0,$o) * fun(X0,$o) * X0 ) > X0 ) ).

tff(func_def_1707,type,
    sK354: 
      !>[X0: $tType] : ( ( fun(X0,$o) * fun(X0,$o) * X0 ) > X0 ) ).

tff(func_def_1708,type,
    sK357: 
      !>[X0: $tType] : ( ( fun(X0,$o) * fun(X0,$o) * fun(X0,$o) * fun(X0,$o) ) > X0 ) ).

tff(func_def_1709,type,
    sK358: 
      !>[X0: $tType] : ( ( fun(X0,$o) * fun(X0,$o) * X0 ) > X0 ) ).

tff(func_def_1710,type,
    sK359: 
      !>[X0: $tType] : ( ( fun(X0,$o) * fun(X0,$o) * X0 ) > X0 ) ).

tff(func_def_1711,type,
    sK362: 
      !>[X0: $tType] : ( X0 > X0 ) ).

tff(func_def_1712,type,
    sK363: 
      !>[X0: $tType] : ( X0 > X0 ) ).

tff(func_def_1713,type,
    sK364: 
      !>[X0: $tType] : ( X0 > X0 ) ).

tff(func_def_1714,type,
    sK365: 
      !>[X0: $tType] : ( X0 > X0 ) ).

tff(func_def_1715,type,
    sK366: 
      !>[X0: $tType,X1: $tType] : ( X1 > X0 ) ).

tff(func_def_1716,type,
    sK367: 
      !>[X0: $tType] : ( ( fun(X0,$o) * fun(X0,$o) * fun(X0,$o) * fun(X0,$o) ) > X0 ) ).

tff(func_def_1717,type,
    sK368: 
      !>[X0: $tType] : ( ( fun(X0,$o) * fun(X0,$o) * X0 ) > X0 ) ).

tff(func_def_1718,type,
    sK369: 
      !>[X0: $tType] : ( ( fun(X0,$o) * fun(X0,$o) * X0 ) > X0 ) ).

tff(func_def_1719,type,
    sK372: 
      !>[X0: $tType] : ( ( fun(X0,$o) * fun(X0,$o) * fun(X0,$o) * fun(X0,$o) ) > X0 ) ).

tff(func_def_1720,type,
    sK373: 
      !>[X0: $tType] : ( ( fun(X0,$o) * fun(X0,$o) * X0 ) > X0 ) ).

tff(func_def_1721,type,
    sK374: 
      !>[X0: $tType] : ( ( fun(X0,$o) * fun(X0,$o) * X0 ) > X0 ) ).

tff(func_def_1722,type,
    sK377: 
      !>[X0: $tType] : ( X0 > X0 ) ).

tff(func_def_1723,type,
    sK378: 
      !>[X0: $tType] : ( X0 > X0 ) ).

tff(func_def_1724,type,
    sK379: 
      !>[X0: $tType] : ( X0 > X0 ) ).

tff(func_def_1725,type,
    sK380: 
      !>[X0: $tType] : ( X0 > X0 ) ).

tff(func_def_1726,type,
    sK381: 
      !>[X0: $tType,X1: $tType] : ( X1 > X0 ) ).

tff(func_def_1727,type,
    sK382: fun(nat,$o) > nat ).

tff(func_def_1728,type,
    sK383: fun(nat,$o) > nat ).

tff(func_def_1729,type,
    sK384: 
      !>[X0: $tType] : ( ( fun(nat,fun(X0,$o)) * fun(nat,fun(X0,fun(X0,$o))) ) > X0 ) ).

tff(func_def_1730,type,
    sK385: 
      !>[X0: $tType] : ( ( fun(nat,fun(X0,$o)) * fun(nat,fun(X0,fun(X0,$o))) ) > nat ) ).

tff(func_def_1731,type,
    sK386: 
      !>[X0: $tType] : ( ( fun(nat,fun(X0,$o)) * fun(nat,fun(X0,fun(X0,$o))) ) > fun(nat,X0) ) ).

tff(func_def_1732,type,
    sK387: nat > nat ).

tff(func_def_1733,type,
    sK388: 
      !>[X0: $tType] : ( X0 > nat ) ).

tff(func_def_1734,type,
    sK389: 
      !>[X0: $tType] : ( X0 > nat ) ).

tff(func_def_1735,type,
    sK390: fun(nat,$o) > nat ).

tff(func_def_1736,type,
    sK391: ( set(nat) * nat ) > nat ).

tff(func_def_1737,type,
    sK392: 
      !>[X0: $tType] : ( ( fun(nat,X0) * fun(nat,X0) ) > nat ) ).

tff(func_def_1738,type,
    sK393: int > nat ).

tff(func_def_1739,type,
    sK394: int > nat ).

tff(func_def_1740,type,
    sK395: 
      !>[X0: $tType] : ( ( set(X0) * set(X0) ) > nat ) ).

tff(func_def_1741,type,
    sK396: int > nat ).

tff(func_def_1742,type,
    sK397: int > nat ).

tff(func_def_1743,type,
    sK398: ( int * fun(int,$o) ) > int ).

tff(func_def_1744,type,
    sK401: 
      !>[X0: $tType] : ( ( set(X0) * set(X0) ) > X0 ) ).

tff(func_def_1745,type,
    sK402: 
      !>[X0: $tType] : ( ( set(X0) * nat ) > set(X0) ) ).

tff(func_def_1746,type,
    sK403: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * set(X0) * fun(X0,fun(X1,$o)) ) > X0 ) ).

tff(func_def_1747,type,
    sK404: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * set(X0) * fun(X0,fun(X1,$o)) ) > X0 ) ).

tff(func_def_1748,type,
    sK405: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * set(X0) * fun(X0,fun(X1,$o)) ) > X0 ) ).

tff(func_def_1749,type,
    sK406: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * set(X0) * fun(X0,fun(X1,$o)) ) > X1 ) ).

tff(func_def_1750,type,
    sK407: 
      !>[X0: $tType] : ( ( set(X0) * nat ) > set(X0) ) ).

tff(func_def_1751,type,
    sK408: 
      !>[X0: $tType] : ( ( nat * set(X0) ) > set(X0) ) ).

tff(func_def_1752,type,
    sK409: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > nat ) ).

tff(func_def_1753,type,
    sK410: 
      !>[X0: $tType] : ( ( set(X0) * set(X0) ) > nat ) ).

tff(func_def_1754,type,
    sK411: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_1755,type,
    sK412: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_1756,type,
    sK413: 
      !>[X0: $tType] : ( X0 > nat ) ).

tff(func_def_1757,type,
    sK414: 
      !>[X0: $tType] : ( X0 > X0 ) ).

tff(func_def_1758,type,
    sK415: 
      !>[X0: $tType] : ( X0 > X0 ) ).

tff(func_def_1759,type,
    sK416: ( nat * fun(nat,int) ) > nat ).

tff(func_def_1760,type,
    sK417: ( nat * fun(nat,int) * int ) > nat ).

tff(func_def_1761,type,
    sK418: ( nat * nat * fun(nat,int) ) > nat ).

tff(func_def_1762,type,
    sK419: ( nat * nat * fun(nat,int) * int ) > nat ).

tff(func_def_1763,type,
    sK420: ( fun(nat,$o) * nat * nat ) > nat ).

tff(func_def_1764,type,
    sK421: set(real) > real ).

tff(func_def_1765,type,
    sK422: ( set(real) * real ) > real ).

tff(func_def_1766,type,
    sK423: ( set(real) * real ) > real ).

tff(func_def_1767,type,
    sK424: 
      !>[X0: $tType] : ( ( X0 * set(X0) ) > set(X0) ) ).

tff(func_def_1768,type,
    sK425: 
      !>[X0: $tType] : ( ( X0 * set(X0) * X0 * set(X0) ) > set(X0) ) ).

tff(func_def_1769,type,
    sK426: 
      !>[X0: $tType] : ( ( X0 * set(X0) ) > set(X0) ) ).

tff(func_def_1770,type,
    sK427: 
      !>[X0: $tType] : ( ( X0 * X0 ) > X0 ) ).

tff(func_def_1771,type,
    sK428: 
      !>[X0: $tType] : ( ( X0 * X0 ) > X0 ) ).

tff(func_def_1772,type,
    sK429: set(int) > int ).

tff(func_def_1773,type,
    sK430: ( set(int) * int ) > int ).

tff(func_def_1774,type,
    sK431: set(int) > int ).

tff(func_def_1775,type,
    sK432: ( set(int) * int ) > int ).

tff(func_def_1776,type,
    sK433: fun(nat,$o) > nat ).

tff(func_def_1777,type,
    sK434: fun(nat,$o) > int ).

tff(func_def_1778,type,
    sK435: fun(nat,$o) > nat ).

tff(func_def_1779,type,
    sK436: fun(nat,$o) > int ).

tff(func_def_1780,type,
    sK437: 
      !>[X0: $tType] : ( ( X0 * X0 ) > X0 ) ).

tff(func_def_1781,type,
    sK438: 
      !>[X0: $tType] : ( fun(set(X0),$o) > set(X0) ) ).

tff(func_def_1782,type,
    sK439: 
      !>[X0: $tType] : ( fun(set(X0),$o) > X0 ) ).

tff(func_def_1783,type,
    sK440: 
      !>[X0: $tType] : ( fun(set(X0),$o) > set(X0) ) ).

tff(func_def_1784,type,
    sK441: 
      !>[X0: $tType] : ( fun(set(X0),$o) > X0 ) ).

tff(func_def_1785,type,
    sK442: 
      !>[X0: $tType] : ( fun(set(X0),$o) > X0 ) ).

tff(func_def_1786,type,
    sK443: 
      !>[X0: $tType] : ( fun(set(X0),$o) > set(X0) ) ).

tff(func_def_1787,type,
    sK444: 
      !>[X0: $tType] : ( fun(set(X0),$o) > X0 ) ).

tff(func_def_1788,type,
    sK445: 
      !>[X0: $tType] : ( fun(set(X0),$o) > set(X0) ) ).

tff(func_def_1789,type,
    sK446: 
      !>[X0: $tType] : ( set(X0) > set(X0) ) ).

tff(func_def_1790,type,
    sK447: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_1791,type,
    sK448: 
      !>[X0: $tType] : ( set(X0) > set(X0) ) ).

tff(func_def_1792,type,
    sK449: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_1793,type,
    sK450: ( int * fun(int,$o) ) > int ).

tff(func_def_1794,type,
    sK451: ( int * int ) > nat ).

tff(func_def_1795,type,
    sK452: 
      !>[X0: $tType] : ( X0 > X0 ) ).

tff(func_def_1796,type,
    sK453: 
      !>[X0: $tType] : ( ( X0 * X0 ) > X0 ) ).

tff(func_def_1797,type,
    sK454: 
      !>[X0: $tType,X1: $tType] : ( ( fun(set(X1),$o) * fun(X1,X0) ) > X1 ) ).

tff(func_def_1798,type,
    sK455: 
      !>[X0: $tType,X1: $tType] : ( ( fun(set(X1),$o) * fun(X1,X0) ) > set(X1) ) ).

tff(func_def_1799,type,
    sK456: 
      !>[X0: $tType] : ( fun(set(X0),$o) > X0 ) ).

tff(func_def_1800,type,
    sK457: 
      !>[X0: $tType] : ( fun(set(X0),$o) > set(X0) ) ).

tff(func_def_1801,type,
    sK458: 
      !>[X0: $tType] : ( fun(set(X0),$o) > X0 ) ).

tff(func_def_1802,type,
    sK459: 
      !>[X0: $tType] : ( fun(set(X0),$o) > set(X0) ) ).

tff(func_def_1803,type,
    sK460: 
      !>[X0: $tType] : ( ( set(X0) * fun(set(X0),$o) ) > X0 ) ).

tff(func_def_1804,type,
    sK461: 
      !>[X0: $tType] : ( ( set(X0) * fun(set(X0),$o) ) > set(X0) ) ).

tff(func_def_1805,type,
    sK462: 
      !>[X0: $tType] : ( ( set(X0) * fun(set(X0),$o) ) > X0 ) ).

tff(func_def_1806,type,
    sK463: 
      !>[X0: $tType] : ( ( set(X0) * fun(set(X0),$o) ) > set(X0) ) ).

tff(func_def_1807,type,
    sK464: 
      !>[X0: $tType] : ( ( X0 * X0 ) > nat ) ).

tff(func_def_1808,type,
    sK465: 
      !>[X0: $tType] : ( ( set(X0) * nat ) > X0 ) ).

tff(func_def_1809,type,
    sK466: 
      !>[X0: $tType] : ( ( set(X0) * nat ) > set(X0) ) ).

tff(func_def_1810,type,
    sK467: 
      !>[X0: $tType] : ( fun(set(X0),$o) > set(X0) ) ).

tff(func_def_1811,type,
    sK468: 
      !>[X0: $tType] : ( fun(set(X0),$o) > X0 ) ).

tff(func_def_1812,type,
    sK469: 
      !>[X0: $tType] : ( fun(set(X0),$o) > set(X0) ) ).

tff(func_def_1813,type,
    sK470: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_1814,type,
    sK471: ( fun(int,$o) * int ) > int ).

tff(func_def_1815,type,
    sK472: ( fun(int,$o) * int ) > int ).

tff(func_def_1816,type,
    sK473: ( fun(nat,$o) * int ) > nat ).

tff(func_def_1817,type,
    sK474: 
      !>[X0: $tType] : ( ( X0 * X0 ) > X0 ) ).

tff(func_def_1818,type,
    sK475: 
      !>[X0: $tType] : ( ( set(X0) * nat ) > X0 ) ).

tff(func_def_1819,type,
    sK476: 
      !>[X0: $tType] : ( ( set(X0) * nat ) > set(X0) ) ).

tff(func_def_1820,type,
    sK477: 
      !>[X0: $tType] : ( ( set(X0) * nat ) > X0 ) ).

tff(func_def_1821,type,
    sK478: 
      !>[X0: $tType] : ( ( set(X0) * nat ) > set(X0) ) ).

tff(func_def_1822,type,
    sK479: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_1823,type,
    sK480: 
      !>[X0: $tType] : ( ( fun(set(X0),$o) * set(X0) ) > set(X0) ) ).

tff(func_def_1824,type,
    sK481: 
      !>[X0: $tType] : ( ( set(X0) * fun(set(X0),$o) ) > set(X0) ) ).

tff(func_def_1825,type,
    sK482: 
      !>[X0: $tType] : ( ( nat * set(X0) ) > X0 ) ).

tff(func_def_1826,type,
    sK483: 
      !>[X0: $tType] : ( ( nat * set(X0) ) > set(X0) ) ).

tff(func_def_1827,type,
    sK484: 
      !>[X0: $tType] : ( ( set(X0) * fun(set(X0),$o) ) > set(X0) ) ).

tff(func_def_1828,type,
    sK485: nat > nat ).

tff(func_def_1829,type,
    sK486: nat > nat ).

tff(func_def_1830,type,
    sK487: ( real * real ) > nat ).

tff(func_def_1831,type,
    sK488: ( nat * nat ) > nat ).

tff(func_def_1832,type,
    sK489: ( nat * nat ) > nat ).

tff(func_def_1833,type,
    sK490: ( nat * nat ) > nat ).

tff(func_def_1834,type,
    sK491: ( nat * nat ) > nat ).

tff(func_def_1835,type,
    sK492: ( nat * nat ) > nat ).

tff(func_def_1836,type,
    sK493: ( real * real ) > nat ).

tff(func_def_1837,type,
    sK494: ( nat * nat ) > nat ).

tff(func_def_1838,type,
    sK495: 
      !>[X0: $tType] : ( ( fun(X0,$o) * fun(X0,nat) ) > X0 ) ).

tff(func_def_1839,type,
    sK496: 
      !>[X0: $tType] : ( ( fun(X0,$o) * X0 * fun(X0,nat) * nat ) > X0 ) ).

tff(func_def_1840,type,
    sK497: fun(nat,nat) > nat ).

tff(func_def_1841,type,
    sK498: fun(nat,nat) > nat ).

tff(func_def_1842,type,
    sK499: ( real * real ) > nat ).

tff(func_def_1843,type,
    sK500: ( fun(nat,$o) * nat * nat ) > nat ).

tff(func_def_1844,type,
    sK501: ( fun(nat,$o) * nat * nat ) > nat ).

tff(func_def_1845,type,
    sK502: ( fun(nat,$o) * nat * nat ) > nat ).

tff(func_def_1846,type,
    sK503: ( fun(nat,$o) * nat * nat ) > nat ).

tff(func_def_1847,type,
    sK504: ( int * fun(int,$o) ) > int ).

tff(func_def_1848,type,
    sK505: ( int * fun(int,$o) ) > int ).

tff(func_def_1849,type,
    sK506: ( real * real ) > nat ).

tff(func_def_1850,type,
    sK507: ( fun(int,$o) * int * int ) > int ).

tff(func_def_1851,type,
    sK508: ( fun(int,$o) * int * int ) > int ).

tff(func_def_1852,type,
    sK509: ( fun(int,$o) * int * int ) > int ).

tff(func_def_1853,type,
    sK510: ( fun(int,$o) * int * int ) > int ).

tff(func_def_1854,type,
    sK512: ( nat * fun(nat,int) ) > nat ).

tff(func_def_1855,type,
    sK513: ( nat * fun(nat,int) * int ) > nat ).

tff(func_def_1856,type,
    sK514: ( real * real * real ) > real ).

tff(func_def_1857,type,
    sK515: fun(real,fun(real,$o)) > real ).

tff(func_def_1858,type,
    sK516: fun(real,fun(real,$o)) > real ).

tff(func_def_1859,type,
    sK517: fun(real,fun(real,$o)) > real ).

tff(func_def_1860,type,
    sK518: ( real * real * fun(real,fun(real,$o)) ) > real ).

tff(func_def_1861,type,
    sK519: ( real * real * fun(real,fun(real,$o)) * real ) > real ).

tff(func_def_1862,type,
    sK520: ( real * real * fun(real,fun(real,$o)) * real ) > real ).

tff(func_def_1863,type,
    sK521: ( nat * real ) > real ).

tff(func_def_1864,type,
    sK522: ( nat * real ) > real ).

tff(func_def_1865,type,
    sK523: 
      !>[X0: $tType] : ( fun(list(X0),$o) > list(X0) ) ).

tff(func_def_1866,type,
    sK524: 
      !>[X0: $tType] : ( set(list(X0)) > nat ) ).

tff(func_def_1867,type,
    sK525: fun(nat,fun(nat,$o)) > nat ).

tff(func_def_1868,type,
    sK526: fun(nat,fun(nat,$o)) > nat ).

tff(func_def_1869,type,
    sK527: fun(nat,fun(nat,$o)) > nat ).

tff(func_def_1870,type,
    sK528: fun(nat,fun(nat,$o)) > nat ).

tff(func_def_1871,type,
    sK529: fun(nat,fun(nat,$o)) > nat ).

tff(func_def_1872,type,
    sK530: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_1873,type,
    sK531: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_1874,type,
    sK532: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_1875,type,
    sK533: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_1876,type,
    sK534: ( fun(real,$o) * nat * real ) > real ).

tff(func_def_1877,type,
    sK535: int > nat ).

tff(func_def_1878,type,
    sK536: int > nat ).

tff(func_def_1879,type,
    sK537: int > nat ).

tff(func_def_1880,type,
    sK538: int > nat ).

tff(func_def_1881,type,
    sK539: int > nat ).

tff(func_def_1882,type,
    sK540: int > nat ).

tff(func_def_1883,type,
    sK541: 
      !>[X0: $tType] : ( X0 > int ) ).

tff(func_def_1884,type,
    sK542: 
      !>[X0: $tType] : ( X0 > int ) ).

tff(func_def_1885,type,
    sK543: 
      !>[X0: $tType] : ( X0 > int ) ).

tff(func_def_1886,type,
    sK544: 
      !>[X0: $tType] : ( X0 > int ) ).

tff(func_def_1887,type,
    sK545: real > real ).

tff(func_def_1888,type,
    sK546: 
      !>[X0: $tType] : ( X0 > int ) ).

tff(func_def_1889,type,
    sK547: 
      !>[X0: $tType] : ( X0 > int ) ).

tff(func_def_1890,type,
    sK548: 
      !>[X0: $tType] : ( ( X0 * nat ) > nat ) ).

tff(func_def_1891,type,
    sK549: 
      !>[X0: $tType] : ( ( fun(int,$o) * X0 ) > int ) ).

tff(func_def_1892,type,
    sK552: vEBT_VEBT > product_prod(nat,nat) ).

tff(func_def_1893,type,
    sK553: vEBT_VEBT > nat ).

tff(func_def_1894,type,
    sK554: vEBT_VEBT > list(vEBT_VEBT) ).

tff(func_def_1895,type,
    sK555: vEBT_VEBT > vEBT_VEBT ).

tff(func_def_1896,type,
    sK556: 
      !>[X0: $tType] : ( X0 > nat ) ).

tff(func_def_1897,type,
    sK557: fun(real,$o) > real ).

tff(func_def_1898,type,
    sK558: fun(real,$o) > real ).

tff(func_def_1899,type,
    sK559: fun(real,$o) > nat ).

tff(func_def_1900,type,
    sK560: real > nat ).

tff(func_def_1901,type,
    sK561: fun(real,$o) > real ).

tff(func_def_1902,type,
    sK562: fun(real,$o) > real ).

tff(func_def_1903,type,
    sK563: fun(real,$o) > nat ).

tff(func_def_1904,type,
    sK564: 
      !>[X0: $tType] : ( X0 > nat ) ).

tff(func_def_1905,type,
    sK565: fun(nat,real) > nat ).

tff(func_def_1906,type,
    sK566: ( fun(nat,real) * nat ) > nat ).

tff(func_def_1907,type,
    sK567: ( fun(nat,real) * nat ) > nat ).

tff(func_def_1908,type,
    sK568: ( fun(nat,real) * nat ) > nat ).

tff(func_def_1909,type,
    sK569: 
      !>[X0: $tType] : ( X0 > int ) ).

tff(func_def_1910,type,
    sK572: vEBT_VEBT > nat ).

tff(func_def_1911,type,
    sK573: vEBT_VEBT > list(vEBT_VEBT) ).

tff(func_def_1912,type,
    sK574: vEBT_VEBT > vEBT_VEBT ).

tff(func_def_1913,type,
    sK575: vEBT_VEBT > nat ).

tff(func_def_1914,type,
    sK576: vEBT_VEBT > nat ).

tff(func_def_1915,type,
    sK577: vEBT_VEBT > nat ).

tff(func_def_1916,type,
    sK578: vEBT_VEBT > list(vEBT_VEBT) ).

tff(func_def_1917,type,
    sK579: vEBT_VEBT > vEBT_VEBT ).

tff(func_def_1918,type,
    sK580: 
      !>[X0: $tType,X1: $tType] : ( ( set(product_prod(X1,X0)) * set(product_prod(X1,X0)) ) > X1 ) ).

tff(func_def_1919,type,
    sK581: 
      !>[X0: $tType,X1: $tType] : ( ( set(product_prod(X1,X0)) * set(product_prod(X1,X0)) ) > X0 ) ).

tff(func_def_1920,type,
    sK584: vEBT_VEBT > nat ).

tff(func_def_1921,type,
    sK585: vEBT_VEBT > list(vEBT_VEBT) ).

tff(func_def_1922,type,
    sK586: vEBT_VEBT > vEBT_VEBT ).

tff(func_def_1923,type,
    sK587: vEBT_VEBT > product_prod(nat,nat) ).

tff(func_def_1924,type,
    sK588: vEBT_VEBT > nat ).

tff(func_def_1925,type,
    sK589: vEBT_VEBT > list(vEBT_VEBT) ).

tff(func_def_1926,type,
    sK590: vEBT_VEBT > vEBT_VEBT ).

tff(func_def_1927,type,
    sK593: ( vEBT_VEBT * option(nat) ) > nat ).

tff(func_def_1928,type,
    sK594: vEBT_VEBT > nat ).

tff(func_def_1929,type,
    sK595: vEBT_VEBT > list(vEBT_VEBT) ).

tff(func_def_1930,type,
    sK596: vEBT_VEBT > vEBT_VEBT ).

tff(func_def_1931,type,
    sK600: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_1932,type,
    sK601: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_1933,type,
    sK602: ( vEBT_VEBT * nat ) > list(vEBT_VEBT) ).

tff(func_def_1934,type,
    sK603: ( vEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_1935,type,
    sK606: ( vEBT_VEBT * option(nat) ) > nat ).

tff(func_def_1936,type,
    sK607: ( vEBT_VEBT * option(nat) ) > nat ).

tff(func_def_1937,type,
    sK608: vEBT_VEBT > nat ).

tff(func_def_1938,type,
    sK609: vEBT_VEBT > list(vEBT_VEBT) ).

tff(func_def_1939,type,
    sK610: vEBT_VEBT > vEBT_VEBT ).

tff(func_def_1940,type,
    sK614: ( vEBT_VEBT * nat * nat ) > nat ).

tff(func_def_1941,type,
    sK615: ( vEBT_VEBT * nat * nat ) > list(vEBT_VEBT) ).

tff(func_def_1942,type,
    sK616: ( vEBT_VEBT * nat * nat ) > vEBT_VEBT ).

tff(func_def_1943,type,
    sK617: vEBT_VEBT > nat ).

tff(func_def_1944,type,
    sK618: vEBT_VEBT > list(vEBT_VEBT) ).

tff(func_def_1945,type,
    sK619: vEBT_VEBT > vEBT_VEBT ).

tff(func_def_1946,type,
    sK626: vEBT_VEBT > nat ).

tff(func_def_1947,type,
    sK627: vEBT_VEBT > list(vEBT_VEBT) ).

tff(func_def_1948,type,
    sK628: vEBT_VEBT > vEBT_VEBT ).

tff(func_def_1949,type,
    sK629: vEBT_VEBT > product_prod(nat,nat) ).

tff(func_def_1950,type,
    sK630: vEBT_VEBT > nat ).

tff(func_def_1951,type,
    sK631: vEBT_VEBT > list(vEBT_VEBT) ).

tff(func_def_1952,type,
    sK632: vEBT_VEBT > vEBT_VEBT ).

tff(func_def_1953,type,
    sK634: 
      !>[X0: $tType] : ( ( fun(int,$o) * X0 ) > int ) ).

tff(func_def_1954,type,
    sK635: 
      !>[X0: $tType] : ( set(X0) > list(X0) ) ).

tff(func_def_1955,type,
    sK636: 
      !>[X0: $tType] : ( ( list(X0) * set(X0) ) > X0 ) ).

tff(func_def_1956,type,
    sK637: 
      !>[X0: $tType] : ( product_prod(fun(nat,fun(X0,X0)),product_prod(nat,product_prod(nat,X0))) > fun(nat,fun(X0,X0)) ) ).

tff(func_def_1957,type,
    sK638: 
      !>[X0: $tType] : ( product_prod(fun(nat,fun(X0,X0)),product_prod(nat,product_prod(nat,X0))) > nat ) ).

tff(func_def_1958,type,
    sK639: 
      !>[X0: $tType] : ( product_prod(fun(nat,fun(X0,X0)),product_prod(nat,product_prod(nat,X0))) > nat ) ).

tff(func_def_1959,type,
    sK640: 
      !>[X0: $tType] : ( product_prod(fun(nat,fun(X0,X0)),product_prod(nat,product_prod(nat,X0))) > X0 ) ).

tff(func_def_1960,type,
    sK643: product_prod(vEBT_VEBT,nat) > nat ).

tff(func_def_1961,type,
    sK644: product_prod(vEBT_VEBT,nat) > option(product_prod(nat,nat)) ).

tff(func_def_1962,type,
    sK645: product_prod(vEBT_VEBT,nat) > nat ).

tff(func_def_1963,type,
    sK646: product_prod(vEBT_VEBT,nat) > list(vEBT_VEBT) ).

tff(func_def_1964,type,
    sK647: product_prod(vEBT_VEBT,nat) > vEBT_VEBT ).

tff(func_def_1965,type,
    sK648: product_prod(vEBT_VEBT,nat) > nat ).

tff(func_def_1966,type,
    sK651: product_prod(vEBT_VEBT,nat) > nat ).

tff(func_def_1967,type,
    sK652: product_prod(vEBT_VEBT,nat) > option(product_prod(nat,nat)) ).

tff(func_def_1968,type,
    sK653: product_prod(vEBT_VEBT,nat) > list(vEBT_VEBT) ).

tff(func_def_1969,type,
    sK654: product_prod(vEBT_VEBT,nat) > vEBT_VEBT ).

tff(func_def_1970,type,
    sK655: product_prod(vEBT_VEBT,nat) > nat ).

tff(func_def_1971,type,
    sK656: product_prod(vEBT_VEBT,nat) > option(product_prod(nat,nat)) ).

tff(func_def_1972,type,
    sK657: product_prod(vEBT_VEBT,nat) > nat ).

tff(func_def_1973,type,
    sK658: product_prod(vEBT_VEBT,nat) > list(vEBT_VEBT) ).

tff(func_def_1974,type,
    sK659: product_prod(vEBT_VEBT,nat) > vEBT_VEBT ).

tff(func_def_1975,type,
    sK660: product_prod(vEBT_VEBT,nat) > nat ).

tff(func_def_1976,type,
    sK667: product_prod(vEBT_VEBT,nat) > nat ).

tff(func_def_1977,type,
    sK668: product_prod(vEBT_VEBT,nat) > nat ).

tff(func_def_1978,type,
    sK669: product_prod(vEBT_VEBT,nat) > list(vEBT_VEBT) ).

tff(func_def_1979,type,
    sK670: product_prod(vEBT_VEBT,nat) > vEBT_VEBT ).

tff(func_def_1980,type,
    sK671: product_prod(vEBT_VEBT,nat) > nat ).

tff(func_def_1981,type,
    sK672: product_prod(vEBT_VEBT,nat) > nat ).

tff(func_def_1982,type,
    sK673: product_prod(vEBT_VEBT,nat) > nat ).

tff(func_def_1983,type,
    sK674: product_prod(vEBT_VEBT,nat) > list(vEBT_VEBT) ).

tff(func_def_1984,type,
    sK675: product_prod(vEBT_VEBT,nat) > vEBT_VEBT ).

tff(func_def_1985,type,
    sK676: product_prod(vEBT_VEBT,nat) > nat ).

tff(func_def_1986,type,
    sK677: product_prod(vEBT_VEBT,nat) > nat ).

tff(func_def_1987,type,
    sK678: product_prod(vEBT_VEBT,nat) > nat ).

tff(func_def_1988,type,
    sK679: product_prod(vEBT_VEBT,nat) > list(vEBT_VEBT) ).

tff(func_def_1989,type,
    sK680: product_prod(vEBT_VEBT,nat) > vEBT_VEBT ).

tff(func_def_1990,type,
    sK681: product_prod(vEBT_VEBT,nat) > nat ).

tff(func_def_1991,type,
    sK682: product_prod(vEBT_VEBT,nat) > nat ).

tff(func_def_1992,type,
    sK683: product_prod(vEBT_VEBT,nat) > nat ).

tff(func_def_1993,type,
    sK684: product_prod(vEBT_VEBT,nat) > nat ).

tff(func_def_1994,type,
    sK685: product_prod(vEBT_VEBT,nat) > list(vEBT_VEBT) ).

tff(func_def_1995,type,
    sK686: product_prod(vEBT_VEBT,nat) > vEBT_VEBT ).

tff(func_def_1996,type,
    sK687: product_prod(vEBT_VEBT,nat) > nat ).

tff(func_def_1997,type,
    sK743: product_prod(vEBT_VEBT,nat) > nat ).

tff(func_def_1998,type,
    sK744: product_prod(vEBT_VEBT,nat) > list(vEBT_VEBT) ).

tff(func_def_1999,type,
    sK745: product_prod(vEBT_VEBT,nat) > vEBT_VEBT ).

tff(func_def_2000,type,
    sK746: product_prod(vEBT_VEBT,nat) > nat ).

tff(func_def_2001,type,
    sK747: product_prod(vEBT_VEBT,nat) > nat ).

tff(func_def_2002,type,
    sK748: product_prod(vEBT_VEBT,nat) > nat ).

tff(func_def_2003,type,
    sK749: product_prod(vEBT_VEBT,nat) > list(vEBT_VEBT) ).

tff(func_def_2004,type,
    sK750: product_prod(vEBT_VEBT,nat) > vEBT_VEBT ).

tff(func_def_2005,type,
    sK751: product_prod(vEBT_VEBT,nat) > nat ).

tff(func_def_2006,type,
    sK752: product_prod(vEBT_VEBT,nat) > nat ).

tff(func_def_2007,type,
    sK753: product_prod(vEBT_VEBT,nat) > nat ).

tff(func_def_2008,type,
    sK754: product_prod(vEBT_VEBT,nat) > nat ).

tff(func_def_2009,type,
    sK755: product_prod(vEBT_VEBT,nat) > list(vEBT_VEBT) ).

tff(func_def_2010,type,
    sK756: product_prod(vEBT_VEBT,nat) > vEBT_VEBT ).

tff(func_def_2011,type,
    sK757: product_prod(vEBT_VEBT,nat) > nat ).

tff(func_def_2012,type,
    sK758: product_prod(vEBT_VEBT,nat) > nat ).

tff(func_def_2013,type,
    sK759: product_prod(vEBT_VEBT,nat) > list(vEBT_VEBT) ).

tff(func_def_2014,type,
    sK760: product_prod(vEBT_VEBT,nat) > vEBT_VEBT ).

tff(func_def_2015,type,
    sK761: product_prod(vEBT_VEBT,nat) > nat ).

tff(func_def_2016,type,
    sK768: product_prod(vEBT_VEBT,nat) > nat ).

tff(func_def_2017,type,
    sK769: product_prod(vEBT_VEBT,nat) > nat ).

tff(func_def_2018,type,
    sK770: product_prod(vEBT_VEBT,nat) > list(vEBT_VEBT) ).

tff(func_def_2019,type,
    sK771: product_prod(vEBT_VEBT,nat) > vEBT_VEBT ).

tff(func_def_2020,type,
    sK772: product_prod(vEBT_VEBT,nat) > nat ).

tff(func_def_2021,type,
    sK773: product_prod(vEBT_VEBT,nat) > product_prod(nat,nat) ).

tff(func_def_2022,type,
    sK774: product_prod(vEBT_VEBT,nat) > list(vEBT_VEBT) ).

tff(func_def_2023,type,
    sK775: product_prod(vEBT_VEBT,nat) > vEBT_VEBT ).

tff(func_def_2024,type,
    sK776: product_prod(vEBT_VEBT,nat) > nat ).

tff(func_def_2025,type,
    sK777: product_prod(vEBT_VEBT,nat) > product_prod(nat,nat) ).

tff(func_def_2026,type,
    sK778: product_prod(vEBT_VEBT,nat) > list(vEBT_VEBT) ).

tff(func_def_2027,type,
    sK779: product_prod(vEBT_VEBT,nat) > vEBT_VEBT ).

tff(func_def_2028,type,
    sK780: product_prod(vEBT_VEBT,nat) > nat ).

tff(func_def_2029,type,
    sK781: product_prod(vEBT_VEBT,nat) > nat ).

tff(func_def_2030,type,
    sK782: product_prod(vEBT_VEBT,nat) > nat ).

tff(func_def_2031,type,
    sK783: product_prod(vEBT_VEBT,nat) > nat ).

tff(func_def_2032,type,
    sK784: product_prod(vEBT_VEBT,nat) > list(vEBT_VEBT) ).

tff(func_def_2033,type,
    sK785: product_prod(vEBT_VEBT,nat) > vEBT_VEBT ).

tff(func_def_2034,type,
    sK786: product_prod(vEBT_VEBT,nat) > nat ).

tff(func_def_2035,type,
    sK844: product_prod(vEBT_VEBT,nat) > nat ).

tff(func_def_2036,type,
    sK845: product_prod(vEBT_VEBT,nat) > nat ).

tff(func_def_2037,type,
    sK846: product_prod(vEBT_VEBT,nat) > list(vEBT_VEBT) ).

tff(func_def_2038,type,
    sK847: product_prod(vEBT_VEBT,nat) > vEBT_VEBT ).

tff(func_def_2039,type,
    sK848: product_prod(vEBT_VEBT,nat) > nat ).

tff(func_def_2040,type,
    sK849: product_prod(vEBT_VEBT,nat) > product_prod(nat,nat) ).

tff(func_def_2041,type,
    sK850: product_prod(vEBT_VEBT,nat) > list(vEBT_VEBT) ).

tff(func_def_2042,type,
    sK851: product_prod(vEBT_VEBT,nat) > vEBT_VEBT ).

tff(func_def_2043,type,
    sK852: product_prod(vEBT_VEBT,nat) > nat ).

tff(func_def_2044,type,
    sK853: product_prod(vEBT_VEBT,nat) > product_prod(nat,nat) ).

tff(func_def_2045,type,
    sK854: product_prod(vEBT_VEBT,nat) > list(vEBT_VEBT) ).

tff(func_def_2046,type,
    sK855: product_prod(vEBT_VEBT,nat) > vEBT_VEBT ).

tff(func_def_2047,type,
    sK856: product_prod(vEBT_VEBT,nat) > nat ).

tff(func_def_2048,type,
    sK857: product_prod(vEBT_VEBT,nat) > nat ).

tff(func_def_2049,type,
    sK858: product_prod(vEBT_VEBT,nat) > nat ).

tff(func_def_2050,type,
    sK859: product_prod(vEBT_VEBT,nat) > nat ).

tff(func_def_2051,type,
    sK860: product_prod(vEBT_VEBT,nat) > list(vEBT_VEBT) ).

tff(func_def_2052,type,
    sK861: product_prod(vEBT_VEBT,nat) > vEBT_VEBT ).

tff(func_def_2053,type,
    sK862: product_prod(vEBT_VEBT,nat) > nat ).

tff(func_def_2054,type,
    sK885: product_prod(vEBT_VEBT,nat) > nat ).

tff(func_def_2055,type,
    sK886: product_prod(vEBT_VEBT,nat) > nat ).

tff(func_def_2056,type,
    sK887: product_prod(vEBT_VEBT,nat) > list(vEBT_VEBT) ).

tff(func_def_2057,type,
    sK888: product_prod(vEBT_VEBT,nat) > vEBT_VEBT ).

tff(func_def_2058,type,
    sK889: product_prod(vEBT_VEBT,nat) > nat ).

tff(func_def_2059,type,
    sK890: product_prod(vEBT_VEBT,nat) > product_prod(nat,nat) ).

tff(func_def_2060,type,
    sK891: product_prod(vEBT_VEBT,nat) > list(vEBT_VEBT) ).

tff(func_def_2061,type,
    sK892: product_prod(vEBT_VEBT,nat) > vEBT_VEBT ).

tff(func_def_2062,type,
    sK893: product_prod(vEBT_VEBT,nat) > nat ).

tff(func_def_2063,type,
    sK894: product_prod(vEBT_VEBT,nat) > product_prod(nat,nat) ).

tff(func_def_2064,type,
    sK895: product_prod(vEBT_VEBT,nat) > list(vEBT_VEBT) ).

tff(func_def_2065,type,
    sK896: product_prod(vEBT_VEBT,nat) > vEBT_VEBT ).

tff(func_def_2066,type,
    sK897: product_prod(vEBT_VEBT,nat) > nat ).

tff(func_def_2067,type,
    sK898: product_prod(vEBT_VEBT,nat) > nat ).

tff(func_def_2068,type,
    sK899: product_prod(vEBT_VEBT,nat) > nat ).

tff(func_def_2069,type,
    sK900: product_prod(vEBT_VEBT,nat) > nat ).

tff(func_def_2070,type,
    sK901: product_prod(vEBT_VEBT,nat) > list(vEBT_VEBT) ).

tff(func_def_2071,type,
    sK902: product_prod(vEBT_VEBT,nat) > vEBT_VEBT ).

tff(func_def_2072,type,
    sK903: product_prod(vEBT_VEBT,nat) > nat ).

tff(func_def_2073,type,
    sK906: product_prod(vEBT_VEBT,nat) > nat ).

tff(func_def_2074,type,
    sK907: product_prod(vEBT_VEBT,nat) > option(product_prod(nat,nat)) ).

tff(func_def_2075,type,
    sK908: product_prod(vEBT_VEBT,nat) > list(vEBT_VEBT) ).

tff(func_def_2076,type,
    sK909: product_prod(vEBT_VEBT,nat) > vEBT_VEBT ).

tff(func_def_2077,type,
    sK910: product_prod(vEBT_VEBT,nat) > nat ).

tff(func_def_2078,type,
    sK911: product_prod(vEBT_VEBT,nat) > option(product_prod(nat,nat)) ).

tff(func_def_2079,type,
    sK912: product_prod(vEBT_VEBT,nat) > list(vEBT_VEBT) ).

tff(func_def_2080,type,
    sK913: product_prod(vEBT_VEBT,nat) > vEBT_VEBT ).

tff(func_def_2081,type,
    sK914: product_prod(vEBT_VEBT,nat) > nat ).

tff(func_def_2082,type,
    sK915: product_prod(vEBT_VEBT,nat) > nat ).

tff(func_def_2083,type,
    sK916: product_prod(vEBT_VEBT,nat) > list(vEBT_VEBT) ).

tff(func_def_2084,type,
    sK917: product_prod(vEBT_VEBT,nat) > vEBT_VEBT ).

tff(func_def_2085,type,
    sK918: product_prod(vEBT_VEBT,nat) > nat ).

tff(func_def_2086,type,
    sK919: product_prod(vEBT_VEBT,nat) > nat ).

tff(func_def_2087,type,
    sK920: product_prod(vEBT_VEBT,nat) > nat ).

tff(func_def_2088,type,
    sK921: product_prod(vEBT_VEBT,nat) > nat ).

tff(func_def_2089,type,
    sK922: product_prod(vEBT_VEBT,nat) > list(vEBT_VEBT) ).

tff(func_def_2090,type,
    sK923: product_prod(vEBT_VEBT,nat) > vEBT_VEBT ).

tff(func_def_2091,type,
    sK924: product_prod(vEBT_VEBT,nat) > nat ).

tff(func_def_2092,type,
    sK927: ( vEBT_VEBT * option(nat) ) > nat ).

tff(func_def_2093,type,
    sK928: ( vEBT_VEBT * option(nat) ) > list(vEBT_VEBT) ).

tff(func_def_2094,type,
    sK929: ( vEBT_VEBT * option(nat) ) > vEBT_VEBT ).

tff(func_def_2095,type,
    sK930: ( vEBT_VEBT * option(nat) ) > nat ).

tff(func_def_2096,type,
    sK931: ( vEBT_VEBT * option(nat) ) > nat ).

tff(func_def_2097,type,
    sK932: ( vEBT_VEBT * option(nat) ) > nat ).

tff(func_def_2098,type,
    sK933: ( vEBT_VEBT * option(nat) ) > list(vEBT_VEBT) ).

tff(func_def_2099,type,
    sK934: ( vEBT_VEBT * option(nat) ) > vEBT_VEBT ).

tff(func_def_2100,type,
    sK942: ( vEBT_VEBT * option(nat) ) > nat ).

tff(func_def_2101,type,
    sK943: ( vEBT_VEBT * option(nat) ) > list(vEBT_VEBT) ).

tff(func_def_2102,type,
    sK944: ( vEBT_VEBT * option(nat) ) > vEBT_VEBT ).

tff(func_def_2103,type,
    sK945: ( vEBT_VEBT * option(nat) ) > nat ).

tff(func_def_2104,type,
    sK946: ( vEBT_VEBT * option(nat) ) > nat ).

tff(func_def_2105,type,
    sK947: ( vEBT_VEBT * option(nat) ) > nat ).

tff(func_def_2106,type,
    sK948: ( vEBT_VEBT * option(nat) ) > list(vEBT_VEBT) ).

tff(func_def_2107,type,
    sK949: ( vEBT_VEBT * option(nat) ) > vEBT_VEBT ).

tff(func_def_2108,type,
    sK955: 
      !>[X0: $tType] : ( ( list(X0) * fun(X0,$o) ) > X0 ) ).

tff(func_def_2109,type,
    sK956: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) ) > nat ) ).

tff(func_def_2110,type,
    sK957: 
      !>[X0: $tType] : ( ( nat * fun(nat,fun(X0,$o)) ) > nat ) ).

tff(func_def_2111,type,
    sK958: 
      !>[X0: $tType] : ( ( nat * fun(nat,fun(X0,$o)) ) > list(X0) ) ).

tff(func_def_2112,type,
    sK959: 
      !>[X0: $tType] : ( ( fun(nat,fun(X0,$o)) * nat ) > X0 ) ).

tff(func_def_2113,type,
    sK960: 
      !>[X0: $tType] : ( ( nat * fun(nat,fun(X0,$o)) * list(X0) ) > nat ) ).

tff(func_def_2114,type,
    sK961: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) ) > nat ) ).

tff(func_def_2115,type,
    sK962: 
      !>[X0: $tType] : ( ( list(X0) * fun(X0,$o) ) > X0 ) ).

tff(func_def_2116,type,
    sK963: 
      !>[X0: $tType] : ( ( X0 * list(X0) ) > nat ) ).

tff(func_def_2117,type,
    sK964: 
      !>[X0: $tType] : ( ( list(X0) * fun(X0,$o) ) > nat ) ).

tff(func_def_2118,type,
    sK965: 
      !>[X0: $tType] : ( ( list(X0) * fun(X0,$o) ) > X0 ) ).

tff(func_def_2119,type,
    sK966: 
      !>[X0: $tType] : ( ( list(X0) * fun(X0,$o) ) > nat ) ).

tff(func_def_2120,type,
    sK969: ( vEBT_VEBT * $o ) > nat ).

tff(func_def_2121,type,
    sK970: ( vEBT_VEBT * $o ) > list(vEBT_VEBT) ).

tff(func_def_2122,type,
    sK971: ( vEBT_VEBT * $o ) > vEBT_VEBT ).

tff(func_def_2123,type,
    sK972: ( vEBT_VEBT * $o ) > product_prod(nat,nat) ).

tff(func_def_2124,type,
    sK973: ( vEBT_VEBT * $o ) > nat ).

tff(func_def_2125,type,
    sK974: ( vEBT_VEBT * $o ) > list(vEBT_VEBT) ).

tff(func_def_2126,type,
    sK975: ( vEBT_VEBT * $o ) > vEBT_VEBT ).

tff(func_def_2127,type,
    sK981: vEBT_VEBT > nat ).

tff(func_def_2128,type,
    sK982: vEBT_VEBT > list(vEBT_VEBT) ).

tff(func_def_2129,type,
    sK983: vEBT_VEBT > vEBT_VEBT ).

tff(func_def_2130,type,
    sK986: vEBT_VEBT > product_prod(nat,nat) ).

tff(func_def_2131,type,
    sK987: vEBT_VEBT > nat ).

tff(func_def_2132,type,
    sK988: vEBT_VEBT > list(vEBT_VEBT) ).

tff(func_def_2133,type,
    sK989: vEBT_VEBT > vEBT_VEBT ).

tff(func_def_2134,type,
    sK995: 
      !>[X0: $tType] : ( ( list(list(X0)) * nat ) > list(X0) ) ).

tff(func_def_2135,type,
    sK998: 
      !>[X0: $tType] : ( ( fun(X0,$o) * list(X0) * X0 ) > nat ) ).

tff(func_def_2136,type,
    sK999: 
      !>[X0: $tType] : ( ( fun(X0,$o) * list(X0) * nat ) > nat ) ).

tff(func_def_2137,type,
    sK1000: 
      !>[X0: $tType] : ( ( X0 * fun(X0,$o) * list(X0) ) > nat ) ).

tff(func_def_2138,type,
    sK1001: 
      !>[X0: $tType] : ( ( fun(X0,$o) * list(X0) * nat ) > nat ) ).

tff(func_def_2139,type,
    sK1002: ( int * fun(int,fun(int,$o)) * int ) > int ).

tff(func_def_2140,type,
    sK1003: ( int * fun(int,fun(int,$o)) * int ) > int ).

tff(func_def_2141,type,
    sK1004: 
      !>[X0: $tType] : ( ( nat * list(X0) ) > X0 ) ).

tff(func_def_2142,type,
    sK1005: 
      !>[X0: $tType] : ( ( nat * list(X0) ) > list(X0) ) ).

tff(func_def_2143,type,
    sK1006: ( fun(int,$o) * int * int ) > int ).

tff(func_def_2144,type,
    sK1007: ( fun(int,$o) * int * int ) > int ).

tff(func_def_2145,type,
    sK1008: ( fun(int,$o) * int * int ) > int ).

tff(func_def_2146,type,
    sK1009: ( fun(int,$o) * int * int ) > int ).

tff(func_def_2147,type,
    sK1011: ( int * fun(int,fun(int,$o)) * int ) > int ).

tff(func_def_2148,type,
    sK1012: ( int * fun(int,fun(int,$o)) * int ) > int ).

tff(func_def_2149,type,
    sK1013: ( int * set(int) * int ) > int ).

tff(func_def_2150,type,
    sK1014: ( int * set(int) * int ) > int ).

tff(func_def_2151,type,
    sK1015: ( fun(nat,$o) * nat ) > nat ).

tff(func_def_2152,type,
    sK1016: fun(nat,fun(nat,$o)) > nat ).

tff(func_def_2153,type,
    sK1017: fun(nat,fun(nat,$o)) > nat ).

tff(func_def_2154,type,
    sK1018: fun(nat,fun(nat,$o)) > nat ).

tff(func_def_2155,type,
    sK1019: ( nat * nat ) > nat ).

tff(func_def_2156,type,
    sK1020: ( nat * nat * nat ) > nat ).

tff(func_def_2157,type,
    sK1021: ( nat * nat * nat ) > nat ).

tff(func_def_2158,type,
    sK1022: ( nat * nat * nat ) > nat ).

tff(func_def_2159,type,
    sK1023: ( fun(nat,$o) * nat * nat ) > nat ).

tff(func_def_2160,type,
    sK1024: ( fun(nat,$o) * nat * nat ) > nat ).

tff(func_def_2161,type,
    sK1025: 
      !>[X0: $tType,X1: $tType] : ( fun(X0,X1) > real ) ).

tff(func_def_2162,type,
    sK1026: 
      !>[X0: $tType,X1: $tType] : ( fun(X0,X1) > nat ) ).

tff(func_def_2163,type,
    sK1027: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * nat ) > X0 ) ).

tff(func_def_2164,type,
    sK1028: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * real ) > X0 ) ).

tff(func_def_2165,type,
    sK1029: 
      !>[X0: $tType,X1: $tType] : ( fun(X0,X1) > real ) ).

tff(func_def_2166,type,
    sK1030: 
      !>[X0: $tType,X1: $tType] : ( fun(X0,X1) > nat ) ).

tff(func_def_2167,type,
    sK1031: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * nat ) > X0 ) ).

tff(func_def_2168,type,
    sK1032: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * real ) > X0 ) ).

tff(func_def_2169,type,
    sK1033: 
      !>[X0: $tType] : ( ( fun(nat,X0) * real ) > nat ) ).

tff(func_def_2170,type,
    sK1034: 
      !>[X0: $tType] : ( fun(nat,X0) > real ) ).

tff(func_def_2171,type,
    sK1035: 
      !>[X0: $tType] : ( ( fun(nat,X0) * nat ) > nat ) ).

tff(func_def_2172,type,
    sK1036: 
      !>[X0: $tType] : ( ( fun(nat,X0) * nat ) > nat ) ).

tff(func_def_2173,type,
    sK1037: 
      !>[X0: $tType] : ( fun(nat,X0) > real ) ).

tff(func_def_2174,type,
    sK1038: 
      !>[X0: $tType] : ( ( fun(nat,X0) * real ) > nat ) ).

tff(func_def_2175,type,
    sK1039: 
      !>[X0: $tType] : ( ( fun(nat,X0) * nat ) > nat ) ).

tff(func_def_2176,type,
    sK1040: 
      !>[X0: $tType] : ( ( fun(nat,X0) * nat ) > nat ) ).

tff(func_def_2177,type,
    sK1041: ( int * set(int) * int ) > int ).

tff(func_def_2178,type,
    sK1042: ( int * set(int) * int ) > int ).

tff(func_def_2179,type,
    sK1043: ( int * set(int) * int ) > int ).

tff(func_def_2180,type,
    sK1044: ( int * set(int) * int ) > int ).

tff(func_def_2181,type,
    sK1045: ( int * set(int) * int ) > int ).

tff(func_def_2182,type,
    sK1046: ( int * set(int) * int ) > int ).

tff(func_def_2183,type,
    sK1047: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_2184,type,
    sK1048: 
      !>[X0: $tType,X1: $tType] : ( fun(X1,X0) > real ) ).

tff(func_def_2185,type,
    sK1049: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * real ) > X1 ) ).

tff(func_def_2186,type,
    sK1050: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * real ) > X1 ) ).

tff(func_def_2187,type,
    sK1051: ( list(vEBT_VEBT) * nat ) > vEBT_VEBT ).

tff(func_def_2188,type,
    sK1052: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_2189,type,
    sK1053: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_2190,type,
    sK1054: 
      !>[X0: $tType] : ( ( set(X0) * X0 * X0 ) > X0 ) ).

tff(func_def_2191,type,
    sK1055: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_2192,type,
    sK1056: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_2193,type,
    sK1057: fun(nat,$o) > nat ).

tff(func_def_2194,type,
    sK1058: ( nat * fun(nat,$o) ) > nat ).

tff(func_def_2195,type,
    sK1059: ( nat * fun(nat,$o) ) > nat ).

tff(func_def_2196,type,
    sK1060: ( nat * fun(nat,$o) ) > nat ).

tff(func_def_2197,type,
    sK1061: ( nat * fun(nat,$o) ) > nat ).

tff(func_def_2198,type,
    sK1062: fun(nat,$o) > nat ).

tff(func_def_2199,type,
    sK1063: fun(nat,$o) > nat ).

tff(func_def_2200,type,
    sK1064: ( nat * nat ) > nat ).

tff(func_def_2201,type,
    sK1065: ( nat * nat ) > nat ).

tff(func_def_2202,type,
    sK1066: ( list(vEBT_VEBT) * nat ) > vEBT_VEBT ).

tff(func_def_2203,type,
    sK1067: vEBT_VEBT > nat ).

tff(func_def_2204,type,
    sK1068: list(vEBT_VEBT) > vEBT_VEBT ).

tff(func_def_2205,type,
    sK1069: list(vEBT_VEBT) > nat ).

tff(func_def_2206,type,
    sK1070: ( list(vEBT_VEBT) * nat ) > vEBT_VEBT ).

tff(func_def_2207,type,
    sK1071: vEBT_VEBT > nat ).

tff(func_def_2208,type,
    sK1072: list(vEBT_VEBT) > vEBT_VEBT ).

tff(func_def_2209,type,
    sK1073: list(vEBT_VEBT) > nat ).

tff(func_def_2210,type,
    sK1074: 
      !>[X0: $tType] : ( fun(X0,fun(X0,$o)) > X0 ) ).

tff(func_def_2211,type,
    sK1075: ( list(vEBT_VEBT) * nat ) > vEBT_VEBT ).

tff(func_def_2212,type,
    sK1076: ( list(vEBT_VEBT) * vEBT_VEBT * nat ) > nat ).

tff(func_def_2213,type,
    sK1077: list(vEBT_VEBT) > vEBT_VEBT ).

tff(func_def_2214,type,
    sK1078: ( list(vEBT_VEBT) * nat * nat * nat * nat ) > nat ).

tff(func_def_2215,type,
    sK1083: ( list(vEBT_VEBT) * nat ) > nat ).

tff(func_def_2216,type,
    sK1084: vEBT_VEBT > nat ).

tff(func_def_2217,type,
    sK1085: ( list(vEBT_VEBT) * nat * nat * nat * nat ) > nat ).

tff(func_def_2218,type,
    sK1086: ( list(vEBT_VEBT) * nat ) > vEBT_VEBT ).

tff(func_def_2219,type,
    sK1087: ( list(vEBT_VEBT) * vEBT_VEBT * nat ) > nat ).

tff(func_def_2220,type,
    sK1088: list(vEBT_VEBT) > vEBT_VEBT ).

tff(func_def_2221,type,
    sK1089: ( list(vEBT_VEBT) * nat * nat * nat * nat ) > nat ).

tff(func_def_2222,type,
    sK1094: ( list(vEBT_VEBT) * nat ) > nat ).

tff(func_def_2223,type,
    sK1095: vEBT_VEBT > nat ).

tff(func_def_2224,type,
    sK1096: ( list(vEBT_VEBT) * nat * nat * nat * nat ) > nat ).

tff(func_def_2225,type,
    sK1097: ( vEBT_VEBT * nat ) > list(vEBT_VEBT) ).

tff(func_def_2226,type,
    sK1098: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_2227,type,
    sK1099: ( vEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_2228,type,
    sK1100: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_2229,type,
    sK1101: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_2230,type,
    sK1102: ( vEBT_VEBT * nat ) > list(vEBT_VEBT) ).

tff(func_def_2231,type,
    sK1103: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_2232,type,
    sK1104: ( vEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_2233,type,
    sK1105: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_2234,type,
    sK1106: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_2235,type,
    sK1107: ( vEBT_VEBT * nat ) > list(vEBT_VEBT) ).

tff(func_def_2236,type,
    sK1108: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_2237,type,
    sK1109: ( vEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_2238,type,
    sK1110: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_2239,type,
    sK1111: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_2240,type,
    sK1112: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_2241,type,
    sK1113: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_2242,type,
    sK1114: ( vEBT_VEBT * nat ) > list(vEBT_VEBT) ).

tff(func_def_2243,type,
    sK1115: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_2244,type,
    sK1116: ( vEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_2245,type,
    sK1117: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_2246,type,
    sK1118: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_2247,type,
    sK1119: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_2248,type,
    sK1120: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_2249,type,
    sK1127: ( list(vEBT_VEBT) * nat ) > nat ).

tff(func_def_2250,type,
    sK1128: ( list(vEBT_VEBT) * nat ) > nat ).

tff(func_def_2251,type,
    sK1129: ( vEBT_VEBT * nat ) > list(vEBT_VEBT) ).

tff(func_def_2252,type,
    sK1130: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_2253,type,
    sK1131: ( vEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_2254,type,
    sK1132: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_2255,type,
    sK1133: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_2256,type,
    sK1134: ( vEBT_VEBT * nat ) > list(vEBT_VEBT) ).

tff(func_def_2257,type,
    sK1135: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_2258,type,
    sK1136: ( vEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_2259,type,
    sK1137: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_2260,type,
    sK1138: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_2261,type,
    sK1139: ( vEBT_VEBT * nat ) > list(vEBT_VEBT) ).

tff(func_def_2262,type,
    sK1140: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_2263,type,
    sK1141: ( vEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_2264,type,
    sK1142: ( vEBT_VEBT * nat ) > list(vEBT_VEBT) ).

tff(func_def_2265,type,
    sK1143: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_2266,type,
    sK1144: ( vEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_2267,type,
    sK1149: ( list(vEBT_VEBT) * nat * vEBT_VEBT ) > nat ).

tff(func_def_2268,type,
    sK1150: ( list(vEBT_VEBT) * nat ) > vEBT_VEBT ).

tff(func_def_2269,type,
    sK1153: ( list(vEBT_VEBT) * nat * nat * nat ) > nat ).

tff(func_def_2270,type,
    sK1154: list(vEBT_VEBT) > vEBT_VEBT ).

tff(func_def_2271,type,
    sK1155: ( list(vEBT_VEBT) * nat * vEBT_VEBT ) > nat ).

tff(func_def_2272,type,
    sK1156: ( list(vEBT_VEBT) * nat ) > vEBT_VEBT ).

tff(func_def_2273,type,
    sK1157: list(vEBT_VEBT) > vEBT_VEBT ).

tff(func_def_2274,type,
    sK1158: vEBT_VEBT > nat ).

tff(func_def_2275,type,
    sK1159: ( list(vEBT_VEBT) * nat ) > vEBT_VEBT ).

tff(func_def_2276,type,
    sK1160: list(vEBT_VEBT) > vEBT_VEBT ).

tff(func_def_2277,type,
    sK1161: vEBT_VEBT > nat ).

tff(func_def_2278,type,
    sK1162: ( list(vEBT_VEBT) * nat ) > vEBT_VEBT ).

tff(func_def_2279,type,
    sK1165: ( list(vEBT_VEBT) * nat * nat * nat ) > nat ).

tff(func_def_2280,type,
    sK1166: list(vEBT_VEBT) > vEBT_VEBT ).

tff(func_def_2281,type,
    sK1171: list(vEBT_VEBT) > nat ).

tff(func_def_2282,type,
    sK1172: list(vEBT_VEBT) > nat ).

tff(func_def_2283,type,
    sK1173: vEBT_VEBT > nat ).

tff(func_def_2284,type,
    sK1174: ( list(vEBT_VEBT) * nat ) > nat ).

tff(func_def_2285,type,
    sK1177: ( list(vEBT_VEBT) * nat * nat * nat * nat ) > nat ).

tff(func_def_2286,type,
    sK1178: vEBT_VEBT > nat ).

tff(func_def_2287,type,
    sK1179: ( list(vEBT_VEBT) * nat ) > nat ).

tff(func_def_2288,type,
    sK1180: ( list(vEBT_VEBT) * nat * nat * nat * nat ) > nat ).

tff(func_def_2289,type,
    sK1192: 
      !>[X0: $tType] : ( fun(X0,$o) > X0 ) ).

tff(func_def_2290,type,
    sK1193: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * set(X1) * fun(X0,fun(X1,$o)) ) > X0 ) ).

tff(func_def_2291,type,
    sK1194: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * set(X1) * fun(X0,fun(X1,$o)) ) > X1 ) ).

tff(func_def_2292,type,
    sK1195: fun(nat,nat) > nat ).

tff(func_def_2293,type,
    sK1198: ( vEBT_VEBT * nat * $o ) > option(product_prod(nat,nat)) ).

tff(func_def_2294,type,
    sK1199: ( vEBT_VEBT * nat * $o ) > nat ).

tff(func_def_2295,type,
    sK1200: ( vEBT_VEBT * nat * $o ) > list(vEBT_VEBT) ).

tff(func_def_2296,type,
    sK1201: vEBT_VEBT > option(product_prod(nat,nat)) ).

tff(func_def_2297,type,
    sK1202: vEBT_VEBT > list(vEBT_VEBT) ).

tff(func_def_2298,type,
    sK1203: vEBT_VEBT > vEBT_VEBT ).

tff(func_def_2299,type,
    sK1210: ( vEBT_VEBT * option(product_prod(nat,nat)) * nat * list(vEBT_VEBT) ) > vEBT_VEBT ).

tff(func_def_2300,type,
    sK1213: ( vEBT_VEBT * nat ) > option(product_prod(nat,nat)) ).

tff(func_def_2301,type,
    sK1214: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_2302,type,
    sK1215: ( vEBT_VEBT * nat ) > list(vEBT_VEBT) ).

tff(func_def_2303,type,
    sK1216: ( vEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_2304,type,
    sK1220: vEBT_VEBT > option(product_prod(nat,nat)) ).

tff(func_def_2305,type,
    sK1221: vEBT_VEBT > list(vEBT_VEBT) ).

tff(func_def_2306,type,
    sK1222: vEBT_VEBT > vEBT_VEBT ).

tff(func_def_2307,type,
    sK1223: ( vEBT_VEBT * nat ) > option(product_prod(nat,nat)) ).

tff(func_def_2308,type,
    sK1224: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_2309,type,
    sK1225: ( vEBT_VEBT * nat ) > list(vEBT_VEBT) ).

tff(func_def_2310,type,
    sK1226: ( vEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_2311,type,
    sK1250: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_2312,type,
    sK1251: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_2313,type,
    sK1252: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_2314,type,
    sK1253: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_2315,type,
    sK1254: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_2316,type,
    sK1255: ( vEBT_VEBT * nat ) > list(vEBT_VEBT) ).

tff(func_def_2317,type,
    sK1256: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_2318,type,
    sK1257: ( vEBT_VEBT * nat ) > list(vEBT_VEBT) ).

tff(func_def_2319,type,
    sK1258: ( vEBT_VEBT * nat ) > list(vEBT_VEBT) ).

tff(func_def_2320,type,
    sK1259: ( vEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_2321,type,
    sK1260: ( vEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_2322,type,
    sK1261: ( vEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_2323,type,
    sK1266: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_2324,type,
    sK1267: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_2325,type,
    sK1268: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_2326,type,
    sK1269: ( vEBT_VEBT * nat ) > list(vEBT_VEBT) ).

tff(func_def_2327,type,
    sK1270: ( vEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_2328,type,
    sK1278: vEBT_VEBT > list(vEBT_VEBT) ).

tff(func_def_2329,type,
    sK1279: vEBT_VEBT > vEBT_VEBT ).

tff(func_def_2330,type,
    sK1280: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_2331,type,
    sK1281: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_2332,type,
    sK1282: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_2333,type,
    sK1283: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_2334,type,
    sK1284: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_2335,type,
    sK1285: ( vEBT_VEBT * nat ) > list(vEBT_VEBT) ).

tff(func_def_2336,type,
    sK1286: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_2337,type,
    sK1287: ( vEBT_VEBT * nat ) > list(vEBT_VEBT) ).

tff(func_def_2338,type,
    sK1292: ( vEBT_VEBT * nat ) > list(vEBT_VEBT) ).

tff(func_def_2339,type,
    sK1293: ( vEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_2340,type,
    sK1294: ( vEBT_VEBT * nat * nat * nat * list(vEBT_VEBT) ) > vEBT_VEBT ).

tff(func_def_2341,type,
    sK1295: ( vEBT_VEBT * nat * list(vEBT_VEBT) ) > vEBT_VEBT ).

tff(func_def_2342,type,
    sK1296: ( vEBT_VEBT * nat * $o ) > nat ).

tff(func_def_2343,type,
    sK1297: ( vEBT_VEBT * nat * $o ) > nat ).

tff(func_def_2344,type,
    sK1298: ( vEBT_VEBT * nat * $o ) > nat ).

tff(func_def_2345,type,
    sK1299: ( vEBT_VEBT * nat * $o ) > nat ).

tff(func_def_2346,type,
    sK1300: ( vEBT_VEBT * nat * $o ) > nat ).

tff(func_def_2347,type,
    sK1301: ( vEBT_VEBT * nat * $o ) > list(vEBT_VEBT) ).

tff(func_def_2348,type,
    sK1302: ( vEBT_VEBT * nat * $o ) > nat ).

tff(func_def_2349,type,
    sK1303: ( vEBT_VEBT * nat * $o ) > list(vEBT_VEBT) ).

tff(func_def_2350,type,
    sK1306: vEBT_VEBT > list(vEBT_VEBT) ).

tff(func_def_2351,type,
    sK1307: vEBT_VEBT > vEBT_VEBT ).

tff(func_def_2352,type,
    sK1314: ( vEBT_VEBT * nat * nat ) > list(vEBT_VEBT) ).

tff(func_def_2353,type,
    sK1315: ( vEBT_VEBT * nat * nat ) > vEBT_VEBT ).

tff(func_def_2354,type,
    sK1316: ( vEBT_VEBT * nat * nat * nat * list(vEBT_VEBT) ) > vEBT_VEBT ).

tff(func_def_2355,type,
    sK1317: ( vEBT_VEBT * nat * list(vEBT_VEBT) ) > vEBT_VEBT ).

tff(func_def_2356,type,
    sK1323: ( vEBT_VEBT * vEBT_VEBT ) > nat ).

tff(func_def_2357,type,
    sK1324: ( vEBT_VEBT * vEBT_VEBT ) > list(vEBT_VEBT) ).

tff(func_def_2358,type,
    sK1325: ( vEBT_VEBT * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_2359,type,
    sK1326: ( vEBT_VEBT * vEBT_VEBT ) > nat ).

tff(func_def_2360,type,
    sK1327: ( vEBT_VEBT * vEBT_VEBT ) > nat ).

tff(func_def_2361,type,
    sK1328: ( vEBT_VEBT * vEBT_VEBT ) > list(vEBT_VEBT) ).

tff(func_def_2362,type,
    sK1329: ( vEBT_VEBT * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_2363,type,
    sK1330: ( vEBT_VEBT * vEBT_VEBT ) > nat ).

tff(func_def_2364,type,
    sK1331: ( vEBT_VEBT * vEBT_VEBT ) > nat ).

tff(func_def_2365,type,
    sK1332: ( vEBT_VEBT * vEBT_VEBT ) > list(vEBT_VEBT) ).

tff(func_def_2366,type,
    sK1333: ( vEBT_VEBT * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_2367,type,
    sK1334: ( vEBT_VEBT * nat * vEBT_VEBT ) > nat ).

tff(func_def_2368,type,
    sK1335: ( vEBT_VEBT * nat * vEBT_VEBT ) > nat ).

tff(func_def_2369,type,
    sK1336: ( vEBT_VEBT * nat * vEBT_VEBT ) > nat ).

tff(func_def_2370,type,
    sK1337: ( vEBT_VEBT * nat * vEBT_VEBT ) > list(vEBT_VEBT) ).

tff(func_def_2371,type,
    sK1338: ( vEBT_VEBT * nat * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_2372,type,
    sK1348: nat > nat ).

tff(func_def_2373,type,
    sK1505: vEBT_VEBT > nat ).

tff(func_def_2374,type,
    sK1506: vEBT_VEBT > list(vEBT_VEBT) ).

tff(func_def_2375,type,
    sK1507: vEBT_VEBT > vEBT_VEBT ).

tff(func_def_2376,type,
    sK1508: vEBT_VEBT > product_prod(nat,nat) ).

tff(func_def_2377,type,
    sK1509: vEBT_VEBT > list(vEBT_VEBT) ).

tff(func_def_2378,type,
    sK1510: vEBT_VEBT > vEBT_VEBT ).

tff(func_def_2379,type,
    sK1511: vEBT_VEBT > product_prod(nat,nat) ).

tff(func_def_2380,type,
    sK1512: vEBT_VEBT > list(vEBT_VEBT) ).

tff(func_def_2381,type,
    sK1513: vEBT_VEBT > vEBT_VEBT ).

tff(func_def_2382,type,
    sK1514: ( vEBT_VEBT * nat * $o ) > nat ).

tff(func_def_2383,type,
    sK1515: ( vEBT_VEBT * nat * $o ) > nat ).

tff(func_def_2384,type,
    sK1516: ( vEBT_VEBT * nat * $o ) > nat ).

tff(func_def_2385,type,
    sK1517: ( vEBT_VEBT * nat * $o ) > list(vEBT_VEBT) ).

tff(func_def_2386,type,
    sK1518: ( vEBT_VEBT * nat * $o ) > vEBT_VEBT ).

tff(func_def_2387,type,
    sK1521: vEBT_VEBT > nat ).

tff(func_def_2388,type,
    sK1522: vEBT_VEBT > list(vEBT_VEBT) ).

tff(func_def_2389,type,
    sK1523: vEBT_VEBT > vEBT_VEBT ).

tff(func_def_2390,type,
    sK1524: vEBT_VEBT > product_prod(nat,nat) ).

tff(func_def_2391,type,
    sK1525: vEBT_VEBT > list(vEBT_VEBT) ).

tff(func_def_2392,type,
    sK1526: vEBT_VEBT > vEBT_VEBT ).

tff(func_def_2393,type,
    sK1527: vEBT_VEBT > product_prod(nat,nat) ).

tff(func_def_2394,type,
    sK1528: vEBT_VEBT > list(vEBT_VEBT) ).

tff(func_def_2395,type,
    sK1529: vEBT_VEBT > vEBT_VEBT ).

tff(func_def_2396,type,
    sK1530: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_2397,type,
    sK1531: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_2398,type,
    sK1532: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_2399,type,
    sK1533: ( vEBT_VEBT * nat ) > list(vEBT_VEBT) ).

tff(func_def_2400,type,
    sK1534: ( vEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_2401,type,
    sK1549: vEBT_VEBT > nat ).

tff(func_def_2402,type,
    sK1550: vEBT_VEBT > list(vEBT_VEBT) ).

tff(func_def_2403,type,
    sK1551: vEBT_VEBT > vEBT_VEBT ).

tff(func_def_2404,type,
    sK1552: vEBT_VEBT > product_prod(nat,nat) ).

tff(func_def_2405,type,
    sK1553: vEBT_VEBT > list(vEBT_VEBT) ).

tff(func_def_2406,type,
    sK1554: vEBT_VEBT > vEBT_VEBT ).

tff(func_def_2407,type,
    sK1555: ( vEBT_VEBT * nat * option(nat) ) > nat ).

tff(func_def_2408,type,
    sK1556: ( vEBT_VEBT * nat * option(nat) ) > nat ).

tff(func_def_2409,type,
    sK1557: ( vEBT_VEBT * nat * option(nat) ) > nat ).

tff(func_def_2410,type,
    sK1558: ( vEBT_VEBT * nat * option(nat) ) > list(vEBT_VEBT) ).

tff(func_def_2411,type,
    sK1559: ( vEBT_VEBT * nat * option(nat) ) > vEBT_VEBT ).

tff(func_def_2412,type,
    sK1560: vEBT_VEBT > product_prod(nat,nat) ).

tff(func_def_2413,type,
    sK1561: vEBT_VEBT > list(vEBT_VEBT) ).

tff(func_def_2414,type,
    sK1562: vEBT_VEBT > vEBT_VEBT ).

tff(func_def_2415,type,
    sK1566: nat > nat ).

tff(func_def_2416,type,
    sK1606: nat > nat ).

tff(func_def_2417,type,
    sK1607: vEBT_VEBT > nat ).

tff(func_def_2418,type,
    sK1608: vEBT_VEBT > list(vEBT_VEBT) ).

tff(func_def_2419,type,
    sK1609: vEBT_VEBT > vEBT_VEBT ).

tff(func_def_2420,type,
    sK1610: vEBT_VEBT > product_prod(nat,nat) ).

tff(func_def_2421,type,
    sK1611: vEBT_VEBT > list(vEBT_VEBT) ).

tff(func_def_2422,type,
    sK1612: vEBT_VEBT > vEBT_VEBT ).

tff(func_def_2423,type,
    sK1613: ( vEBT_VEBT * nat * option(nat) ) > nat ).

tff(func_def_2424,type,
    sK1614: ( vEBT_VEBT * nat * option(nat) ) > nat ).

tff(func_def_2425,type,
    sK1615: ( vEBT_VEBT * nat * option(nat) ) > nat ).

tff(func_def_2426,type,
    sK1616: ( vEBT_VEBT * nat * option(nat) ) > list(vEBT_VEBT) ).

tff(func_def_2427,type,
    sK1617: ( vEBT_VEBT * nat * option(nat) ) > vEBT_VEBT ).

tff(func_def_2428,type,
    sK1618: vEBT_VEBT > product_prod(nat,nat) ).

tff(func_def_2429,type,
    sK1619: vEBT_VEBT > list(vEBT_VEBT) ).

tff(func_def_2430,type,
    sK1620: vEBT_VEBT > vEBT_VEBT ).

tff(func_def_2431,type,
    sK1641: ( vEBT_VEBT * vEBT_VEBT ) > option(product_prod(nat,nat)) ).

tff(func_def_2432,type,
    sK1642: ( vEBT_VEBT * vEBT_VEBT ) > list(vEBT_VEBT) ).

tff(func_def_2433,type,
    sK1643: ( vEBT_VEBT * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_2434,type,
    sK1644: ( vEBT_VEBT * vEBT_VEBT ) > option(product_prod(nat,nat)) ).

tff(func_def_2435,type,
    sK1645: ( vEBT_VEBT * vEBT_VEBT ) > list(vEBT_VEBT) ).

tff(func_def_2436,type,
    sK1646: ( vEBT_VEBT * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_2437,type,
    sK1647: ( vEBT_VEBT * nat * vEBT_VEBT ) > nat ).

tff(func_def_2438,type,
    sK1648: ( vEBT_VEBT * nat * vEBT_VEBT ) > list(vEBT_VEBT) ).

tff(func_def_2439,type,
    sK1649: ( vEBT_VEBT * nat * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_2440,type,
    sK1650: ( vEBT_VEBT * nat * vEBT_VEBT ) > nat ).

tff(func_def_2441,type,
    sK1651: ( vEBT_VEBT * nat * vEBT_VEBT ) > nat ).

tff(func_def_2442,type,
    sK1652: ( vEBT_VEBT * nat * vEBT_VEBT ) > nat ).

tff(func_def_2443,type,
    sK1653: ( vEBT_VEBT * nat * vEBT_VEBT ) > list(vEBT_VEBT) ).

tff(func_def_2444,type,
    sK1654: ( vEBT_VEBT * nat * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_2445,type,
    sK1672: ( vEBT_VEBT * nat * option(nat) ) > nat ).

tff(func_def_2446,type,
    sK1673: ( vEBT_VEBT * nat * option(nat) ) > list(vEBT_VEBT) ).

tff(func_def_2447,type,
    sK1674: ( vEBT_VEBT * nat * option(nat) ) > vEBT_VEBT ).

tff(func_def_2448,type,
    sK1675: ( vEBT_VEBT * nat * option(nat) ) > product_prod(nat,nat) ).

tff(func_def_2449,type,
    sK1676: ( vEBT_VEBT * nat * option(nat) ) > list(vEBT_VEBT) ).

tff(func_def_2450,type,
    sK1677: ( vEBT_VEBT * nat * option(nat) ) > vEBT_VEBT ).

tff(func_def_2451,type,
    sK1678: ( vEBT_VEBT * nat * option(nat) ) > product_prod(nat,nat) ).

tff(func_def_2452,type,
    sK1679: ( vEBT_VEBT * nat * option(nat) ) > list(vEBT_VEBT) ).

tff(func_def_2453,type,
    sK1680: ( vEBT_VEBT * nat * option(nat) ) > vEBT_VEBT ).

tff(func_def_2454,type,
    sK1681: ( vEBT_VEBT * nat * option(nat) ) > nat ).

tff(func_def_2455,type,
    sK1682: ( vEBT_VEBT * nat * option(nat) ) > nat ).

tff(func_def_2456,type,
    sK1683: ( vEBT_VEBT * nat * option(nat) ) > nat ).

tff(func_def_2457,type,
    sK1684: ( vEBT_VEBT * nat * option(nat) ) > list(vEBT_VEBT) ).

tff(func_def_2458,type,
    sK1685: ( vEBT_VEBT * nat * option(nat) ) > vEBT_VEBT ).

tff(func_def_2459,type,
    sK1695: ( nat * option(nat) * $o * $o ) > nat ).

tff(func_def_2460,type,
    sK1770: ( vEBT_VEBT * nat * option(nat) ) > nat ).

tff(func_def_2461,type,
    sK1771: ( vEBT_VEBT * nat * option(nat) ) > list(vEBT_VEBT) ).

tff(func_def_2462,type,
    sK1772: ( vEBT_VEBT * nat * option(nat) ) > vEBT_VEBT ).

tff(func_def_2463,type,
    sK1773: ( vEBT_VEBT * nat * option(nat) ) > product_prod(nat,nat) ).

tff(func_def_2464,type,
    sK1774: ( vEBT_VEBT * nat * option(nat) ) > list(vEBT_VEBT) ).

tff(func_def_2465,type,
    sK1775: ( vEBT_VEBT * nat * option(nat) ) > vEBT_VEBT ).

tff(func_def_2466,type,
    sK1776: ( vEBT_VEBT * nat * option(nat) ) > product_prod(nat,nat) ).

tff(func_def_2467,type,
    sK1777: ( vEBT_VEBT * nat * option(nat) ) > list(vEBT_VEBT) ).

tff(func_def_2468,type,
    sK1778: ( vEBT_VEBT * nat * option(nat) ) > vEBT_VEBT ).

tff(func_def_2469,type,
    sK1779: ( vEBT_VEBT * nat * option(nat) ) > nat ).

tff(func_def_2470,type,
    sK1780: ( vEBT_VEBT * nat * option(nat) ) > nat ).

tff(func_def_2471,type,
    sK1781: ( vEBT_VEBT * nat * option(nat) ) > nat ).

tff(func_def_2472,type,
    sK1782: ( vEBT_VEBT * nat * option(nat) ) > list(vEBT_VEBT) ).

tff(func_def_2473,type,
    sK1783: ( vEBT_VEBT * nat * option(nat) ) > vEBT_VEBT ).

tff(func_def_2474,type,
    sK1795: ( nat * option(nat) * $o * $o ) > nat ).

tff(func_def_2475,type,
    sK2038: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,fun(X0,$o)) * fun(X1,fun(X0,$o)) ) > X1 ) ).

tff(func_def_2476,type,
    sK2039: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,fun(X0,$o)) * fun(X1,fun(X0,$o)) ) > X0 ) ).

tff(func_def_2477,type,
    sK2040: 
      !>[X0: $tType] : ( ( fun(X0,$o) * fun(X0,$o) ) > X0 ) ).

tff(func_def_2478,type,
    sK2053: ( vEBT_VEBT * nat * vEBT_VEBT ) > nat ).

tff(func_def_2479,type,
    sK2054: ( vEBT_VEBT * nat * vEBT_VEBT ) > list(vEBT_VEBT) ).

tff(func_def_2480,type,
    sK2055: ( vEBT_VEBT * nat * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_2481,type,
    sK2056: ( vEBT_VEBT * nat * vEBT_VEBT ) > nat ).

tff(func_def_2482,type,
    sK2057: ( vEBT_VEBT * nat * vEBT_VEBT ) > nat ).

tff(func_def_2483,type,
    sK2058: ( vEBT_VEBT * nat * vEBT_VEBT ) > list(vEBT_VEBT) ).

tff(func_def_2484,type,
    sK2059: ( vEBT_VEBT * nat * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_2485,type,
    sK2060: ( vEBT_VEBT * nat * vEBT_VEBT ) > nat ).

tff(func_def_2486,type,
    sK2061: ( vEBT_VEBT * nat * vEBT_VEBT ) > nat ).

tff(func_def_2487,type,
    sK2062: ( vEBT_VEBT * nat * vEBT_VEBT ) > list(vEBT_VEBT) ).

tff(func_def_2488,type,
    sK2063: ( vEBT_VEBT * nat * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_2489,type,
    sK2064: ( vEBT_VEBT * nat * vEBT_VEBT ) > nat ).

tff(func_def_2490,type,
    sK2065: ( vEBT_VEBT * nat * vEBT_VEBT ) > nat ).

tff(func_def_2491,type,
    sK2066: ( vEBT_VEBT * nat * vEBT_VEBT ) > nat ).

tff(func_def_2492,type,
    sK2067: ( vEBT_VEBT * nat * vEBT_VEBT ) > list(vEBT_VEBT) ).

tff(func_def_2493,type,
    sK2068: ( vEBT_VEBT * nat * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_2494,type,
    sK2081: ( nat * vEBT_VEBT * $o * $o ) > nat ).

tff(func_def_2495,type,
    sK2372: ( vEBT_VEBT * nat * vEBT_VEBT ) > option(product_prod(nat,nat)) ).

tff(func_def_2496,type,
    sK2373: ( vEBT_VEBT * nat * vEBT_VEBT ) > list(vEBT_VEBT) ).

tff(func_def_2497,type,
    sK2374: ( vEBT_VEBT * nat * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_2498,type,
    sK2375: ( vEBT_VEBT * nat * vEBT_VEBT ) > option(product_prod(nat,nat)) ).

tff(func_def_2499,type,
    sK2376: ( vEBT_VEBT * nat * vEBT_VEBT ) > list(vEBT_VEBT) ).

tff(func_def_2500,type,
    sK2377: ( vEBT_VEBT * nat * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_2501,type,
    sK2378: ( vEBT_VEBT * nat * vEBT_VEBT ) > nat ).

tff(func_def_2502,type,
    sK2379: ( vEBT_VEBT * nat * vEBT_VEBT ) > list(vEBT_VEBT) ).

tff(func_def_2503,type,
    sK2380: ( vEBT_VEBT * nat * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_2504,type,
    sK2381: ( vEBT_VEBT * nat * vEBT_VEBT ) > nat ).

tff(func_def_2505,type,
    sK2382: ( vEBT_VEBT * nat * vEBT_VEBT ) > nat ).

tff(func_def_2506,type,
    sK2383: ( vEBT_VEBT * nat * vEBT_VEBT ) > nat ).

tff(func_def_2507,type,
    sK2384: ( vEBT_VEBT * nat * vEBT_VEBT ) > list(vEBT_VEBT) ).

tff(func_def_2508,type,
    sK2385: ( vEBT_VEBT * nat * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_2509,type,
    sK2403: ( vEBT_VEBT * nat * $o ) > nat ).

tff(func_def_2510,type,
    sK2404: ( vEBT_VEBT * nat * $o ) > list(vEBT_VEBT) ).

tff(func_def_2511,type,
    sK2405: ( vEBT_VEBT * nat * $o ) > vEBT_VEBT ).

tff(func_def_2512,type,
    sK2406: ( vEBT_VEBT * nat * $o ) > product_prod(nat,nat) ).

tff(func_def_2513,type,
    sK2407: ( vEBT_VEBT * nat * $o ) > list(vEBT_VEBT) ).

tff(func_def_2514,type,
    sK2408: ( vEBT_VEBT * nat * $o ) > vEBT_VEBT ).

tff(func_def_2515,type,
    sK2409: ( vEBT_VEBT * nat * $o ) > product_prod(nat,nat) ).

tff(func_def_2516,type,
    sK2410: ( vEBT_VEBT * nat * $o ) > list(vEBT_VEBT) ).

tff(func_def_2517,type,
    sK2411: ( vEBT_VEBT * nat * $o ) > vEBT_VEBT ).

tff(func_def_2518,type,
    sK2412: ( vEBT_VEBT * nat * $o ) > nat ).

tff(func_def_2519,type,
    sK2413: ( vEBT_VEBT * nat * $o ) > nat ).

tff(func_def_2520,type,
    sK2414: ( vEBT_VEBT * nat * $o ) > nat ).

tff(func_def_2521,type,
    sK2415: ( vEBT_VEBT * nat * $o ) > list(vEBT_VEBT) ).

tff(func_def_2522,type,
    sK2416: ( vEBT_VEBT * nat * $o ) > vEBT_VEBT ).

tff(func_def_2523,type,
    sK2430: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_2524,type,
    sK2431: ( vEBT_VEBT * nat ) > list(vEBT_VEBT) ).

tff(func_def_2525,type,
    sK2432: ( vEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_2526,type,
    sK2433: ( vEBT_VEBT * nat ) > product_prod(nat,nat) ).

tff(func_def_2527,type,
    sK2434: ( vEBT_VEBT * nat ) > list(vEBT_VEBT) ).

tff(func_def_2528,type,
    sK2435: ( vEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_2529,type,
    sK2436: ( vEBT_VEBT * nat ) > product_prod(nat,nat) ).

tff(func_def_2530,type,
    sK2437: ( vEBT_VEBT * nat ) > list(vEBT_VEBT) ).

tff(func_def_2531,type,
    sK2438: ( vEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_2532,type,
    sK2439: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_2533,type,
    sK2440: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_2534,type,
    sK2441: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_2535,type,
    sK2442: ( vEBT_VEBT * nat ) > list(vEBT_VEBT) ).

tff(func_def_2536,type,
    sK2443: ( vEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_2537,type,
    sK2454: ( vEBT_VEBT * nat ) > option(product_prod(nat,nat)) ).

tff(func_def_2538,type,
    sK2455: ( vEBT_VEBT * nat ) > list(vEBT_VEBT) ).

tff(func_def_2539,type,
    sK2456: ( vEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_2540,type,
    sK2457: ( vEBT_VEBT * nat ) > option(product_prod(nat,nat)) ).

tff(func_def_2541,type,
    sK2458: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_2542,type,
    sK2459: ( vEBT_VEBT * nat ) > list(vEBT_VEBT) ).

tff(func_def_2543,type,
    sK2460: ( vEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_2544,type,
    sK2470: ( vEBT_VEBT * nat ) > option(product_prod(nat,nat)) ).

tff(func_def_2545,type,
    sK2471: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_2546,type,
    sK2472: ( vEBT_VEBT * nat ) > list(vEBT_VEBT) ).

tff(func_def_2547,type,
    sK2473: ( vEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_2548,type,
    sK2481: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_2549,type,
    sK2482: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_2550,type,
    sK2483: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_2551,type,
    sK2484: ( vEBT_VEBT * nat ) > list(vEBT_VEBT) ).

tff(func_def_2552,type,
    sK2485: ( vEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_2553,type,
    sK2494: ( vEBT_VEBT * nat * $o ) > option(product_prod(nat,nat)) ).

tff(func_def_2554,type,
    sK2495: ( vEBT_VEBT * nat * $o ) > list(vEBT_VEBT) ).

tff(func_def_2555,type,
    sK2496: ( vEBT_VEBT * nat * $o ) > vEBT_VEBT ).

tff(func_def_2556,type,
    sK2497: ( vEBT_VEBT * nat * $o ) > option(product_prod(nat,nat)) ).

tff(func_def_2557,type,
    sK2498: ( vEBT_VEBT * nat * $o ) > nat ).

tff(func_def_2558,type,
    sK2499: ( vEBT_VEBT * nat * $o ) > list(vEBT_VEBT) ).

tff(func_def_2559,type,
    sK2500: ( vEBT_VEBT * nat * $o ) > vEBT_VEBT ).

tff(func_def_2560,type,
    sK2512: ( vEBT_VEBT * nat * $o ) > list(vEBT_VEBT) ).

tff(func_def_2561,type,
    sK2513: ( vEBT_VEBT * nat * $o ) > vEBT_VEBT ).

tff(func_def_2562,type,
    sK2514: ( vEBT_VEBT * nat * $o ) > nat ).

tff(func_def_2563,type,
    sK2515: ( vEBT_VEBT * nat * $o ) > nat ).

tff(func_def_2564,type,
    sK2516: ( vEBT_VEBT * nat * $o ) > list(vEBT_VEBT) ).

tff(func_def_2565,type,
    sK2517: ( vEBT_VEBT * nat * $o ) > vEBT_VEBT ).

tff(func_def_2566,type,
    sK2518: ( vEBT_VEBT * nat * $o ) > nat ).

tff(func_def_2567,type,
    sK2519: ( vEBT_VEBT * nat * $o ) > nat ).

tff(func_def_2568,type,
    sK2520: ( vEBT_VEBT * nat * $o ) > nat ).

tff(func_def_2569,type,
    sK2521: ( vEBT_VEBT * nat * $o ) > list(vEBT_VEBT) ).

tff(func_def_2570,type,
    sK2522: ( vEBT_VEBT * nat * $o ) > vEBT_VEBT ).

tff(func_def_2571,type,
    sK2523: ( vEBT_VEBT * nat * $o ) > nat ).

tff(func_def_2572,type,
    sK2524: ( vEBT_VEBT * nat * $o ) > list(vEBT_VEBT) ).

tff(func_def_2573,type,
    sK2525: ( vEBT_VEBT * nat * $o ) > vEBT_VEBT ).

tff(func_def_2574,type,
    sK2537: ( vEBT_VEBT * nat ) > list(vEBT_VEBT) ).

tff(func_def_2575,type,
    sK2538: ( vEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_2576,type,
    sK2539: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_2577,type,
    sK2540: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_2578,type,
    sK2541: ( vEBT_VEBT * nat ) > list(vEBT_VEBT) ).

tff(func_def_2579,type,
    sK2542: ( vEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_2580,type,
    sK2543: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_2581,type,
    sK2544: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_2582,type,
    sK2545: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_2583,type,
    sK2546: ( vEBT_VEBT * nat ) > list(vEBT_VEBT) ).

tff(func_def_2584,type,
    sK2547: ( vEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_2585,type,
    sK2548: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_2586,type,
    sK2549: ( vEBT_VEBT * nat ) > list(vEBT_VEBT) ).

tff(func_def_2587,type,
    sK2550: ( vEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_2588,type,
    sK2559: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_2589,type,
    sK2560: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_2590,type,
    sK2561: ( vEBT_VEBT * nat ) > list(vEBT_VEBT) ).

tff(func_def_2591,type,
    sK2562: ( vEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_2592,type,
    sK2563: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_2593,type,
    sK2564: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_2594,type,
    sK2565: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_2595,type,
    sK2566: ( vEBT_VEBT * nat ) > list(vEBT_VEBT) ).

tff(func_def_2596,type,
    sK2567: ( vEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_2597,type,
    sK2568: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_2598,type,
    sK2569: ( vEBT_VEBT * nat ) > list(vEBT_VEBT) ).

tff(func_def_2599,type,
    sK2570: ( vEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_2600,type,
    sK2572: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,X1) ) > X0 ) ).

tff(func_def_2601,type,
    sK2573: 
      !>[X0: $tType] : ( ( set(X0) * fun(X0,nat) ) > X0 ) ).

tff(func_def_2602,type,
    sK2574: 
      !>[X0: $tType] : ( ( set(X0) * fun(X0,nat) ) > X0 ) ).

tff(func_def_2603,type,
    sK2575: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,X1) ) > X0 ) ).

tff(func_def_2604,type,
    sK2576: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * set(X0) ) > X0 ) ).

tff(func_def_2605,type,
    sK2577: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_2606,type,
    sK2578: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,X0) * fun(X1,X0) ) > X1 ) ).

tff(func_def_2607,type,
    sK2579: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_2608,type,
    sK2580: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_2609,type,
    sK2581: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,X1) ) > X0 ) ).

tff(func_def_2610,type,
    sK2582: 
      !>[X0: $tType] : ( fun(X0,fun(X0,$o)) > X0 ) ).

tff(func_def_2611,type,
    sK2583: 
      !>[X0: $tType] : ( fun(X0,fun(X0,$o)) > X0 ) ).

tff(func_def_2612,type,
    sK2584: 
      !>[X0: $tType] : ( fun(X0,fun(X0,$o)) > X0 ) ).

tff(func_def_2613,type,
    sK2585: 
      !>[X0: $tType] : ( fun(X0,fun(X0,$o)) > X0 ) ).

tff(func_def_2614,type,
    sK2586: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,fun(X0,$o)) * set(X1) * fun(X1,X0) * fun(X1,X0) ) > X1 ) ).

tff(func_def_2615,type,
    sK2587: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * set(X0) * fun(X1,X0) * fun(X0,X1) ) > X0 ) ).

tff(func_def_2616,type,
    sK2588: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * set(X1) * set(X0) * fun(X0,X1) * set(X1) ) > X0 ) ).

tff(func_def_2617,type,
    sK2589: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,X0) * fun(X0,X1) * set(X1) ) > X1 ) ).

tff(func_def_2618,type,
    sK2590: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * set(X1) * set(X0) * fun(X1,X0) * set(X1) ) > X1 ) ).

tff(func_def_2619,type,
    sK2591: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,X1) ) > X0 ) ).

tff(func_def_2620,type,
    sK2592: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_2621,type,
    sK2593: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( set(X0) * fun(X0,X2) * fun(X0,X1) * fun(X2,X1) ) > X0 ) ).

tff(func_def_2622,type,
    sK2597: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_2623,type,
    sK2598: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_2624,type,
    sK2599: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_2625,type,
    sK2600: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_2626,type,
    sK2601: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_2627,type,
    sK2602: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_2628,type,
    sK2603: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_2629,type,
    sK2604: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_2630,type,
    sK2605: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_2631,type,
    sK2606: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,X0) * fun(X1,X0) ) > X1 ) ).

tff(func_def_2632,type,
    sK2607: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_2633,type,
    sK2608: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,X0) * fun(X1,X0) ) > X1 ) ).

tff(func_def_2634,type,
    sK2609: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,X0) * fun(X1,X0) ) > X1 ) ).

tff(func_def_2635,type,
    sK2610: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_2636,type,
    sK2611: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_2637,type,
    sK2612: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,X1) * X1 ) > X0 ) ).

tff(func_def_2638,type,
    sK2613: 
      !>[X0: $tType] : ( ( fun(nat,X0) * fun(nat,real) * nat ) > nat ) ).

tff(func_def_2639,type,
    sK2614: 
      !>[X0: $tType] : ( ( fun(nat,real) * nat * fun(nat,X0) ) > nat ) ).

tff(func_def_2640,type,
    sK2615: 
      !>[X0: $tType] : ( ( fun(nat,X0) * fun(nat,X0) ) > nat ) ).

tff(func_def_2641,type,
    sK2616: 
      !>[X0: $tType] : ( ( set(nat) * fun(nat,X0) ) > nat ) ).

tff(func_def_2642,type,
    sK2617: 
      !>[X0: $tType] : ( fun(nat,X0) > nat ) ).

tff(func_def_2643,type,
    sK2618: 
      !>[X0: $tType] : ( fun(nat,X0) > nat ) ).

tff(func_def_2644,type,
    sK2619: 
      !>[X0: $tType] : ( fun(nat,X0) > nat ) ).

tff(func_def_2645,type,
    sK2620: 
      !>[X0: $tType] : ( fun(nat,X0) > nat ) ).

tff(func_def_2646,type,
    sK2621: 
      !>[X0: $tType] : ( ( fun(nat,X0) * fun(nat,real) * nat ) > nat ) ).

tff(func_def_2647,type,
    sK2622: ( fun(nat,real) * fun(nat,real) * nat ) > nat ).

tff(func_def_2648,type,
    sK2623: 
      !>[X0: $tType] : ( fun(nat,X0) > nat ) ).

tff(func_def_2649,type,
    sK2624: 
      !>[X0: $tType] : ( fun(nat,X0) > nat ) ).

tff(func_def_2650,type,
    sK2625: 
      !>[X0: $tType] : ( fun(nat,X0) > nat ) ).

tff(func_def_2651,type,
    sK2626: 
      !>[X0: $tType] : ( ( real * fun(nat,X0) ) > nat ) ).

tff(func_def_2652,type,
    sK2627: fun(nat,real) > nat ).

tff(func_def_2653,type,
    sK2628: fun(nat,real) > nat ).

tff(func_def_2654,type,
    sK2629: 
      !>[X0: $tType] : ( ( real * fun(nat,X0) * real ) > nat ) ).

tff(func_def_2655,type,
    sK2630: 
      !>[X0: $tType] : ( ( real * nat * fun(nat,X0) ) > nat ) ).

tff(func_def_2656,type,
    sK2631: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,X1) ) > X0 ) ).

tff(func_def_2657,type,
    sK2632: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,X0) * fun(X1,real) ) > X1 ) ).

tff(func_def_2658,type,
    sK2633: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,X1) ) > X0 ) ).

tff(func_def_2659,type,
    sK2634: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * set(X0) ) > X0 ) ).

tff(func_def_2660,type,
    sK2635: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,X0) * fun(X1,X0) ) > X1 ) ).

tff(func_def_2661,type,
    sK2636: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,X1) ) > X0 ) ).

tff(func_def_2662,type,
    sK2637: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_2663,type,
    sK2638: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_2664,type,
    sK2639: 
      !>[X0: $tType] : ( set(X0) > list(X0) ) ).

tff(func_def_2665,type,
    sK2640: 
      !>[X0: $tType] : ( ( set(nat) * fun(nat,X0) * fun(nat,X0) ) > nat ) ).

tff(func_def_2666,type,
    sK2641: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,X1) ) > X0 ) ).

tff(func_def_2667,type,
    sK2642: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,X1) ) > X0 ) ).

tff(func_def_2668,type,
    sK2643: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_2669,type,
    sK2644: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( set(X0) * set(X2) * fun(X2,X1) * fun(X2,X0) * fun(X0,X1) ) > X0 ) ).

tff(func_def_2670,type,
    sK2645: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,X0) * fun(X1,X0) ) > X1 ) ).

tff(func_def_2671,type,
    sK2646: 
      !>[X0: $tType] : ( fun(X0,fun(X0,$o)) > X0 ) ).

tff(func_def_2672,type,
    sK2647: 
      !>[X0: $tType] : ( fun(X0,fun(X0,$o)) > X0 ) ).

tff(func_def_2673,type,
    sK2648: 
      !>[X0: $tType] : ( fun(X0,fun(X0,$o)) > X0 ) ).

tff(func_def_2674,type,
    sK2649: 
      !>[X0: $tType] : ( fun(X0,fun(X0,$o)) > X0 ) ).

tff(func_def_2675,type,
    sK2650: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,fun(X0,$o)) * set(X1) * fun(X1,X0) * fun(X1,X0) ) > X1 ) ).

tff(func_def_2676,type,
    sK2651: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,X0) * fun(X1,X0) ) > X1 ) ).

tff(func_def_2677,type,
    sK2652: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * set(X0) * fun(X1,X0) * fun(X0,X1) ) > X0 ) ).

tff(func_def_2678,type,
    sK2653: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * set(X1) * set(X0) * fun(X0,X1) * set(X1) ) > X0 ) ).

tff(func_def_2679,type,
    sK2654: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,X0) * fun(X0,X1) * set(X1) ) > X1 ) ).

tff(func_def_2680,type,
    sK2655: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * set(X1) * set(X0) * fun(X1,X0) * set(X1) ) > X1 ) ).

tff(func_def_2681,type,
    sK2656: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,X1) ) > X0 ) ).

tff(func_def_2682,type,
    sK2657: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_2683,type,
    sK2658: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( set(X0) * fun(X0,X2) * fun(X0,X1) * fun(X2,X1) ) > X0 ) ).

tff(func_def_2684,type,
    sK2662: 
      !>[X0: $tType] : ( list(X0) > nat ) ).

tff(func_def_2685,type,
    sK2663: 
      !>[X0: $tType] : ( list(X0) > nat ) ).

tff(func_def_2686,type,
    sK2664: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,X1) ) > X0 ) ).

tff(func_def_2687,type,
    sK2665: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,X1) ) > X0 ) ).

tff(func_def_2688,type,
    sK2666: 
      !>[X0: $tType] : ( ( set(nat) * fun(nat,X0) ) > nat ) ).

tff(func_def_2689,type,
    sK2667: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_2690,type,
    sK2668: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_2691,type,
    sK2669: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,X1) * X1 ) > X0 ) ).

tff(func_def_2692,type,
    sK2670: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * X0 * fun(X1,X0) ) > X1 ) ).

tff(func_def_2693,type,
    sK2671: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_2694,type,
    sK2672: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_2695,type,
    sK2673: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_2696,type,
    sK2674: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_2697,type,
    sK2675: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_2698,type,
    sK2676: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_2699,type,
    sK2677: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_2700,type,
    sK2678: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,X0) * fun(X1,X0) ) > X1 ) ).

tff(func_def_2701,type,
    sK2679: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_2702,type,
    sK2680: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,X0) * fun(X1,X0) ) > X1 ) ).

tff(func_def_2703,type,
    sK2681: 
      !>[X0: $tType] : ( ( list(X0) * X0 ) > nat ) ).

tff(func_def_2704,type,
    sK2682: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_2705,type,
    sK2683: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,X0) * real ) > X1 ) ).

tff(func_def_2706,type,
    sK2684: 
      !>[X0: $tType] : ( ( fun(nat,X0) * set(nat) ) > nat ) ).

tff(func_def_2707,type,
    sK2685: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_2708,type,
    sK2686: 
      !>[X0: $tType,X1: $tType] : ( ( X1 * set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_2709,type,
    sK2687: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,X1) * X1 ) > X0 ) ).

tff(func_def_2710,type,
    sK2688: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,X1) * X1 ) > X0 ) ).

tff(func_def_2711,type,
    sK2689: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,X1) ) > X0 ) ).

tff(func_def_2712,type,
    sK2690: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,X1) * X1 * X1 ) > X0 ) ).

tff(func_def_2713,type,
    sK2691: 
      !>[X0: $tType] : ( ( fun(nat,X0) * real ) > nat ) ).

tff(func_def_2714,type,
    sK2692: 
      !>[X0: $tType] : ( ( fun(X0,$o) * fun(X0,fun(X0,$o)) ) > X0 ) ).

tff(func_def_2715,type,
    sK2693: 
      !>[X0: $tType] : ( ( fun(X0,$o) * fun(X0,fun(X0,$o)) ) > X0 ) ).

tff(func_def_2716,type,
    sK2694: 
      !>[X0: $tType] : ( ( fun(X0,$o) * fun(X0,fun(X0,$o)) * fun(X0,$o) ) > X0 ) ).

tff(func_def_2717,type,
    sK2695: fun(int,fun(int,$o)) > int ).

tff(func_def_2718,type,
    sK2696: fun(int,fun(int,$o)) > int ).

tff(func_def_2719,type,
    sK2697: 
      !>[X0: $tType] : ( fun(fun(nat,fun(X0,X0)),fun(nat,fun(nat,fun(X0,$o)))) > fun(nat,fun(X0,X0)) ) ).

tff(func_def_2720,type,
    sK2698: 
      !>[X0: $tType] : ( fun(fun(nat,fun(X0,X0)),fun(nat,fun(nat,fun(X0,$o)))) > nat ) ).

tff(func_def_2721,type,
    sK2699: 
      !>[X0: $tType] : ( fun(fun(nat,fun(X0,X0)),fun(nat,fun(nat,fun(X0,$o)))) > nat ) ).

tff(func_def_2722,type,
    sK2700: 
      !>[X0: $tType] : ( fun(fun(nat,fun(X0,X0)),fun(nat,fun(nat,fun(X0,$o)))) > X0 ) ).

tff(func_def_2723,type,
    sK2701: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * set(X1) * fun(X0,fun(X1,$o)) * fun(X1,nat) ) > X1 ) ).

tff(func_def_2724,type,
    sK2702: 
      !>[X0: $tType] : ( ( set(X0) * fun(X0,nat) * fun(X0,nat) ) > X0 ) ).

tff(func_def_2725,type,
    sK2703: 
      !>[X0: $tType] : ( ( set(X0) * fun(X0,nat) ) > X0 ) ).

tff(func_def_2726,type,
    sK2704: 
      !>[X0: $tType] : ( ( set(X0) * fun(X0,nat) * X0 ) > X0 ) ).

tff(func_def_2727,type,
    sK2705: 
      !>[X0: $tType] : ( ( fun(X0,nat) * set(X0) ) > X0 ) ).

tff(func_def_2728,type,
    sK2706: 
      !>[X0: $tType] : ( ( set(X0) * fun(X0,nat) ) > X0 ) ).

tff(func_def_2729,type,
    sK2707: 
      !>[X0: $tType] : ( ( set(X0) * fun(X0,nat) * X0 ) > X0 ) ).

tff(func_def_2730,type,
    sK2708: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * set(X1) * fun(X0,fun(X1,$o)) * nat ) > X1 ) ).

tff(func_def_2731,type,
    sK2709: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_2732,type,
    sK2710: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_2733,type,
    sK2711: 
      !>[X0: $tType] : ( ( set(X0) * fun(X0,real) ) > X0 ) ).

tff(func_def_2734,type,
    sK2712: fun(int,fun(int,$o)) > int ).

tff(func_def_2735,type,
    sK2713: fun(int,fun(int,$o)) > int ).

tff(func_def_2736,type,
    sK2714: 
      !>[X0: $tType] : ( ( fun(nat,X0) * X0 * nat ) > fun(nat,X0) ) ).

tff(func_def_2737,type,
    sK2715: set(nat) > nat ).

tff(func_def_2738,type,
    sK2716: set(nat) > nat ).

tff(func_def_2739,type,
    sK2717: set(nat) > nat ).

tff(func_def_2740,type,
    sK2718: 
      !>[X0: $tType] : ( ( fun(X0,nat) * fun(X0,nat) ) > X0 ) ).

tff(func_def_2741,type,
    sK2719: 
      !>[X0: $tType] : ( ( fun(nat,X0) * X0 ) > nat ) ).

tff(func_def_2742,type,
    sK2720: 
      !>[X0: $tType] : ( ( fun(nat,X0) * nat * fun(nat,X0) ) > X0 ) ).

tff(func_def_2743,type,
    sK2721: 
      !>[X0: $tType] : ( ( fun(nat,X0) * nat * fun(nat,X0) ) > nat ) ).

tff(func_def_2744,type,
    sK2722: 
      !>[X0: $tType] : ( fun(nat,X0) > nat ) ).

tff(func_def_2745,type,
    sK2723: 
      !>[X0: $tType] : ( ( fun(nat,X0) * X0 ) > nat ) ).

tff(func_def_2746,type,
    sK2724: 
      !>[X0: $tType] : ( fun(nat,X0) > nat ) ).

tff(func_def_2747,type,
    sK2725: 
      !>[X0: $tType] : ( ( fun(nat,X0) * X0 ) > nat ) ).

tff(func_def_2748,type,
    sK2726: 
      !>[X0: $tType] : ( ( fun(nat,X0) * nat ) > X0 ) ).

tff(func_def_2749,type,
    sK2727: 
      !>[X0: $tType] : ( ( fun(nat,X0) * nat ) > X0 ) ).

tff(func_def_2750,type,
    sK2728: 
      !>[X0: $tType] : ( ( fun(nat,X0) * nat ) > nat ) ).

tff(func_def_2751,type,
    sK2729: 
      !>[X0: $tType] : ( ( fun(nat,X0) * nat ) > nat ) ).

tff(func_def_2752,type,
    sK2730: 
      !>[X0: $tType] : ( ( fun(nat,X0) * nat ) > nat ) ).

tff(func_def_2753,type,
    sK2731: 
      !>[X0: $tType] : ( ( nat * fun(nat,X0) * X0 ) > nat ) ).

tff(func_def_2754,type,
    sK2732: 
      !>[X0: $tType] : ( ( fun(nat,X0) * nat ) > nat ) ).

tff(func_def_2755,type,
    sK2733: 
      !>[X0: $tType] : ( ( nat * fun(nat,X0) ) > nat ) ).

tff(func_def_2756,type,
    sK2734: 
      !>[X0: $tType] : ( ( nat * fun(nat,X0) ) > nat ) ).

tff(func_def_2757,type,
    sK2735: 
      !>[X0: $tType] : ( ( fun(nat,X0) * nat * X0 ) > X0 ) ).

tff(func_def_2758,type,
    sK2736: 
      !>[X0: $tType] : ( ( fun(nat,X0) * nat ) > nat ) ).

tff(func_def_2759,type,
    sK2737: ( nat * fun(nat,nat) ) > nat ).

tff(func_def_2760,type,
    sK2738: ( nat * fun(nat,nat) ) > nat ).

tff(func_def_2761,type,
    sK2739: ( real * nat ) > real ).

tff(func_def_2762,type,
    sK2740: 
      !>[X0: $tType] : ( ( real * fun(nat,X0) * nat ) > real ) ).

tff(func_def_2763,type,
    sK2741: ( fun(nat,real) * nat ) > nat ).

tff(func_def_2764,type,
    sK2742: ( real * nat ) > real ).

tff(func_def_2765,type,
    sK2743: 
      !>[X0: $tType] : ( fun(nat,X0) > nat ) ).

tff(func_def_2766,type,
    sK2744: 
      !>[X0: $tType] : ( fun(nat,X0) > nat ) ).

tff(func_def_2767,type,
    sK2745: 
      !>[X0: $tType] : ( fun(nat,X0) > nat ) ).

tff(func_def_2768,type,
    sK2746: 
      !>[X0: $tType] : ( fun(nat,X0) > nat ) ).

tff(func_def_2769,type,
    sK2747: 
      !>[X0: $tType] : ( fun(nat,X0) > nat ) ).

tff(func_def_2770,type,
    sK2748: 
      !>[X0: $tType] : ( fun(nat,X0) > nat ) ).

tff(func_def_2771,type,
    sK2749: 
      !>[X0: $tType] : ( ( fun(nat,X0) * fun(nat,X0) ) > nat ) ).

tff(func_def_2772,type,
    sK2750: 
      !>[X0: $tType] : ( fun(nat,X0) > nat ) ).

tff(func_def_2773,type,
    sK2751: 
      !>[X0: $tType] : ( ( X0 * X0 ) > X0 ) ).

tff(func_def_2774,type,
    sK2752: 
      !>[X0: $tType] : ( ( X0 * X0 ) > X0 ) ).

tff(func_def_2775,type,
    sK2753: 
      !>[X0: $tType] : ( ( X0 * X0 ) > X0 ) ).

tff(func_def_2776,type,
    sK2754: 
      !>[X0: $tType] : ( ( X0 * X0 ) > X0 ) ).

tff(func_def_2777,type,
    sK2755: 
      !>[X0: $tType] : ( ( X0 * X0 ) > X0 ) ).

tff(func_def_2778,type,
    sK2756: 
      !>[X0: $tType] : ( ( X0 * X0 ) > X0 ) ).

tff(func_def_2779,type,
    sK2757: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_2780,type,
    sK2758: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_2781,type,
    sK2759: 
      !>[X0: $tType] : ( ( nat * fun(nat,X0) ) > nat ) ).

tff(func_def_2782,type,
    sK2760: 
      !>[X0: $tType] : ( ( fun(X0,$o) * X0 ) > X0 ) ).

tff(func_def_2783,type,
    sK2761: 
      !>[X0: $tType] : ( ( fun(X0,$o) * X0 ) > X0 ) ).

tff(func_def_2784,type,
    sK2762: 
      !>[X0: $tType] : ( ( X0 * X0 ) > X0 ) ).

tff(func_def_2785,type,
    sK2763: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,X0) * fun(X1,X0) ) > X1 ) ).

tff(func_def_2786,type,
    sK2764: 
      !>[X0: $tType] : ( ( set(nat) * fun(nat,X0) ) > nat ) ).

tff(func_def_2787,type,
    sK2765: ( nat * nat ) > nat ).

tff(func_def_2788,type,
    sK2766: ( nat * nat ) > nat ).

tff(func_def_2789,type,
    sK2767: ( nat * nat ) > nat ).

tff(func_def_2790,type,
    sK2768: 
      !>[X0: $tType] : ( ( X0 * X0 ) > X0 ) ).

tff(func_def_2791,type,
    sK2769: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_2792,type,
    sK2770: 
      !>[X0: $tType] : ( X0 > X0 ) ).

tff(func_def_2793,type,
    sK2771: 
      !>[X0: $tType] : ( fun(nat,X0) > nat ) ).

tff(func_def_2794,type,
    sK2772: 
      !>[X0: $tType] : ( fun(nat,X0) > nat ) ).

tff(func_def_2795,type,
    sK2773: 
      !>[X0: $tType] : ( fun(nat,X0) > nat ) ).

tff(func_def_2796,type,
    sK2774: 
      !>[X0: $tType] : ( fun(nat,X0) > nat ) ).

tff(func_def_2797,type,
    sK2775: 
      !>[X0: $tType] : ( fun(nat,X0) > nat ) ).

tff(func_def_2798,type,
    sK2776: 
      !>[X0: $tType] : ( fun(nat,X0) > nat ) ).

tff(func_def_2799,type,
    sK2777: ( nat * vEBT_VEBT ) > nat ).

tff(func_def_2800,type,
    sK2778: 
      !>[X0: $tType] : ( ( nat * X0 * fun(X0,$o) ) > X0 ) ).

tff(func_def_2801,type,
    sK2779: 
      !>[X0: $tType] : ( ( nat * X0 * fun(X0,$o) ) > X0 ) ).

tff(func_def_2802,type,
    sK2780: real > real ).

tff(func_def_2803,type,
    sK2781: ( real * nat ) > real ).

tff(func_def_2804,type,
    sK2782: ( real * nat ) > real ).

tff(func_def_2805,type,
    sK2783: ( nat * real ) > real ).

tff(func_def_2806,type,
    sK2784: real > nat ).

tff(func_def_2807,type,
    sK2786: ( nat * vEBT_VEBT ) > nat ).

tff(func_def_2808,type,
    sK2787: ( real * real ) > real ).

tff(func_def_2809,type,
    sK2788: real ).

tff(func_def_2810,type,
    sK2789: real > real ).

tff(func_def_2811,type,
    sK2790: real > real ).

tff(func_def_2812,type,
    sK2791: ( real * real ) > real ).

tff(func_def_2813,type,
    sK2792: real > nat ).

tff(func_def_2814,type,
    sK2793: ( real * real ) > real ).

tff(func_def_2815,type,
    sK2794: ( real * real ) > real ).

tff(func_def_2816,type,
    sK2795: ( real * nat ) > real ).

tff(func_def_2817,type,
    sK2796: ( nat * real ) > real ).

tff(func_def_2818,type,
    sK2797: ( real * nat ) > real ).

tff(func_def_2819,type,
    sK2798: complex > real ).

tff(func_def_2820,type,
    sK2799: real > real ).

tff(func_def_2821,type,
    sK2800: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( product_prod(X2,X1) * fun(X2,fun(X1,X0)) * fun(X2,fun(X1,X0)) ) > X2 ) ).

tff(func_def_2822,type,
    sK2801: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( product_prod(X2,X1) * fun(X2,fun(X1,X0)) * fun(X2,fun(X1,X0)) ) > X1 ) ).

tff(func_def_2823,type,
    sK2812: rat > rat ).

tff(func_def_2824,type,
    sK2813: rat > rat ).

tff(func_def_2825,type,
    sK2814: num > num ).

tff(func_def_2826,type,
    sK2815: num > num ).

tff(func_def_2827,type,
    sK2816: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_2828,type,
    sK2817: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_2829,type,
    sK2818: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_2830,type,
    sK2819: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_2831,type,
    sK2820: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_2832,type,
    sK2821: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_2833,type,
    sK2822: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,X0) * fun(X1,X0) ) > X1 ) ).

tff(func_def_2834,type,
    sK2823: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_2835,type,
    sK2824: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,X0) * fun(X1,X0) ) > X1 ) ).

tff(func_def_2836,type,
    sK2825: 
      !>[X0: $tType] : ( ( fun(X0,$o) * fun(X0,$o) ) > X0 ) ).

tff(func_def_2837,type,
    sK2826: 
      !>[X0: $tType] : ( ( fun(X0,$o) * fun(X0,$o) ) > X0 ) ).

tff(func_def_2838,type,
    sK2827: 
      !>[X0: $tType] : ( ( fun(X0,$o) * fun(X0,$o) ) > X0 ) ).

tff(func_def_2839,type,
    sK2828: 
      !>[X0: $tType] : ( ( fun(X0,$o) * fun(X0,$o) ) > X0 ) ).

tff(func_def_2840,type,
    sK2829: 
      !>[X0: $tType] : ( ( fun(X0,$o) * X0 ) > X0 ) ).

tff(func_def_2841,type,
    sK2830: 
      !>[X0: $tType] : ( ( fun(X0,$o) * X0 ) > X0 ) ).

tff(func_def_2842,type,
    sK2831: 
      !>[X0: $tType] : ( ( fun(X0,$o) * fun(X0,$o) ) > X0 ) ).

tff(func_def_2843,type,
    sK2832: 
      !>[X0: $tType] : ( ( fun(X0,$o) * X0 ) > X0 ) ).

tff(func_def_2844,type,
    sK2833: 
      !>[X0: $tType] : ( ( fun(X0,$o) * X0 ) > X0 ) ).

tff(func_def_2845,type,
    sK2834: 
      !>[X0: $tType] : ( ( fun(X0,$o) * X0 ) > X0 ) ).

tff(func_def_2846,type,
    sK2835: 
      !>[X0: $tType] : ( ( fun(X0,$o) * X0 ) > X0 ) ).

tff(func_def_2847,type,
    sK2836: ( nat * fun(nat,$o) ) > nat ).

tff(func_def_2848,type,
    sK2837: ( nat * fun(nat,$o) ) > nat ).

tff(func_def_2849,type,
    sK2838: ( nat * fun(nat,$o) ) > nat ).

tff(func_def_2850,type,
    sK2839: ( nat * fun(nat,$o) ) > nat ).

tff(func_def_2851,type,
    sK2840: ( fun(nat,$o) * fun(nat,$o) ) > nat ).

tff(func_def_2852,type,
    sK2841: 
      !>[X0: $tType,X1: $tType] : ( ( X1 * X1 * fun(X1,X0) * fun(X1,X0) ) > X1 ) ).

tff(func_def_2853,type,
    sK2842: 
      !>[X0: $tType,X1: $tType] : ( ( X1 * X1 * fun(X1,X0) * fun(X1,X0) ) > X1 ) ).

tff(func_def_2854,type,
    sK2843: 
      !>[X0: $tType] : ( fun(nat,X0) > real ) ).

tff(func_def_2855,type,
    sK2844: 
      !>[X0: $tType] : ( ( fun(nat,X0) * real ) > nat ) ).

tff(func_def_2856,type,
    sK2845: 
      !>[X0: $tType] : ( ( fun(nat,X0) * nat ) > nat ) ).

tff(func_def_2857,type,
    sK2846: 
      !>[X0: $tType] : ( ( fun(nat,X0) * nat ) > nat ) ).

tff(func_def_2858,type,
    sK2847: 
      !>[X0: $tType] : ( ( nat * fun(nat,X0) ) > nat ) ).

tff(func_def_2859,type,
    sK2848: 
      !>[X0: $tType] : ( ( nat * fun(nat,X0) ) > nat ) ).

tff(func_def_2860,type,
    sK2849: 
      !>[X0: $tType] : ( ( nat * fun(nat,X0) ) > nat ) ).

tff(func_def_2861,type,
    sK2850: 
      !>[X0: $tType] : ( ( nat * fun(nat,X0) ) > nat ) ).

tff(func_def_2862,type,
    sK2851: ( nat * fun(nat,nat) ) > nat ).

tff(func_def_2863,type,
    sK2852: ( nat * fun(nat,nat) ) > nat ).

tff(func_def_2864,type,
    sK2853: ( nat * fun(nat,nat) ) > nat ).

tff(func_def_2865,type,
    sK2854: ( nat * fun(nat,nat) ) > nat ).

tff(func_def_2866,type,
    sK2855: 
      !>[X0: $tType] : ( ( list(X0) * fun(X0,nat) * fun(X0,nat) ) > X0 ) ).

tff(func_def_2867,type,
    sK2856: set(nat) > fun(nat,nat) ).

tff(func_def_2868,type,
    sK2857: 
      !>[X0: $tType] : ( ( set(X0) * fun(X0,$o) ) > X0 ) ).

tff(func_def_2869,type,
    sK2858: 
      !>[X0: $tType] : ( ( set(X0) * fun(X0,$o) * fun(X0,$o) ) > X0 ) ).

tff(func_def_2870,type,
    sK2859: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * set(X1) ) > X1 ) ).

tff(func_def_2871,type,
    sK2860: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * set(X1) ) > X1 ) ).

tff(func_def_2872,type,
    sK2861: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_2873,type,
    sK2862: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_2874,type,
    sK2863: 
      !>[X0: $tType] : ( set(set(X0)) > set(X0) ) ).

tff(func_def_2875,type,
    sK2864: 
      !>[X0: $tType] : ( set(set(X0)) > set(X0) ) ).

tff(func_def_2876,type,
    sK2865: 
      !>[X0: $tType] : ( ( X0 * set(X0) ) > X0 ) ).

tff(func_def_2877,type,
    sK2866: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_2878,type,
    sK2867: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_2879,type,
    sK2868: 
      !>[X0: $tType] : ( ( X0 * set(X0) ) > X0 ) ).

tff(func_def_2880,type,
    sK2869: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_2881,type,
    sK2870: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_2882,type,
    sK2871: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_2883,type,
    sK2872: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_2884,type,
    sK2873: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_2885,type,
    sK2874: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_2886,type,
    sK2875: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_2887,type,
    sK2876: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_2888,type,
    sK2877: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_2889,type,
    sK2878: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_2890,type,
    sK2879: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_2891,type,
    sK2880: 
      !>[X0: $tType] : ( ( X0 * set(X0) ) > X0 ) ).

tff(func_def_2892,type,
    sK2881: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_2893,type,
    sK2882: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_2894,type,
    sK2883: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_2895,type,
    sK2884: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_2896,type,
    sK2885: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_2897,type,
    sK2886: 
      !>[X0: $tType] : ( set(set(X0)) > set(X0) ) ).

tff(func_def_2898,type,
    sK2887: 
      !>[X0: $tType] : ( ( set(X0) * X0 * X0 ) > X0 ) ).

tff(func_def_2899,type,
    sK2888: 
      !>[X0: $tType] : ( ( set(X0) * X0 * X0 ) > X0 ) ).

tff(func_def_2900,type,
    sK2889: 
      !>[X0: $tType] : ( ( set(X0) * set(set(X0)) ) > set(set(X0)) ) ).

tff(func_def_2901,type,
    sK2890: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_2902,type,
    sK2891: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_2903,type,
    sK2892: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_2904,type,
    sK2893: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_2905,type,
    sK2894: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_2906,type,
    sK2895: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_2907,type,
    sK2896: 
      !>[X0: $tType] : ( ( set(X0) * set(X0) ) > X0 ) ).

tff(func_def_2908,type,
    sK2897: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_2909,type,
    sK2898: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_2910,type,
    sK2899: 
      !>[X0: $tType] : ( ( X0 * set(X0) ) > X0 ) ).

tff(func_def_2911,type,
    sK2900: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_2912,type,
    sK2901: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_2913,type,
    sK2902: 
      !>[X0: $tType] : ( ( set(X0) * set(X0) ) > X0 ) ).

tff(func_def_2914,type,
    sK2903: 
      !>[X0: $tType] : ( ( X0 * set(X0) ) > X0 ) ).

tff(func_def_2915,type,
    sK2904: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_2916,type,
    sK2905: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_2917,type,
    sK2906: 
      !>[X0: $tType] : ( set(set(X0)) > set(X0) ) ).

tff(func_def_2918,type,
    sK2907: 
      !>[X0: $tType] : ( set(set(X0)) > set(X0) ) ).

tff(func_def_2919,type,
    sK2908: 
      !>[X0: $tType] : ( ( set(set(X0)) * set(X0) ) > set(X0) ) ).

tff(func_def_2920,type,
    sK2909: 
      !>[X0: $tType] : ( ( set(set(X0)) * set(set(X0)) ) > set(X0) ) ).

tff(func_def_2921,type,
    sK2910: 
      !>[X0: $tType] : ( ( set(set(X0)) * set(X0) ) > set(X0) ) ).

tff(func_def_2922,type,
    sK2911: 
      !>[X0: $tType] : ( ( X0 * set(X0) ) > X0 ) ).

tff(func_def_2923,type,
    sK2912: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_2924,type,
    sK2913: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_2925,type,
    sK2914: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_2926,type,
    sK2915: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_2927,type,
    sK2916: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_2928,type,
    sK2917: 
      !>[X0: $tType] : ( ( set(set(X0)) * set(X0) ) > set(X0) ) ).

tff(func_def_2929,type,
    sK2918: 
      !>[X0: $tType] : ( ( set(set(X0)) * nat ) > set(X0) ) ).

tff(func_def_2930,type,
    sK2919: 
      !>[X0: $tType] : ( set(set(X0)) > set(X0) ) ).

tff(func_def_2931,type,
    sK2920: 
      !>[X0: $tType] : ( set(set(X0)) > set(X0) ) ).

tff(func_def_2932,type,
    sK2921: 
      !>[X0: $tType] : ( ( set(X0) * set(X0) ) > X0 ) ).

tff(func_def_2933,type,
    sK2922: 
      !>[X0: $tType] : ( ( set(X0) * set(X0) ) > X0 ) ).

tff(func_def_2934,type,
    sK2923: 
      !>[X0: $tType] : ( ( set(X0) * set(X0) ) > X0 ) ).

tff(func_def_2935,type,
    sK2924: 
      !>[X0: $tType] : ( ( set(X0) * set(X0) ) > X0 ) ).

tff(func_def_2936,type,
    sK2925: 
      !>[X0: $tType] : ( ( set(X0) * fun(X0,$o) * fun(X0,$o) ) > X0 ) ).

tff(func_def_2937,type,
    sK2926: 
      !>[X0: $tType] : ( fun(X0,fun(X0,X0)) > X0 ) ).

tff(func_def_2938,type,
    sK2927: 
      !>[X0: $tType] : ( fun(X0,fun(X0,X0)) > X0 ) ).

tff(func_def_2939,type,
    sK2928: 
      !>[X0: $tType] : ( fun(X0,fun(X0,X0)) > X0 ) ).

tff(func_def_2940,type,
    sK2929: 
      !>[X0: $tType] : ( fun(X0,fun(X0,X0)) > X0 ) ).

tff(func_def_2941,type,
    sK2930: 
      !>[X0: $tType] : ( fun(X0,fun(X0,X0)) > X0 ) ).

tff(func_def_2942,type,
    sK2931: 
      !>[X0: $tType] : ( fun(X0,fun(X0,X0)) > X0 ) ).

tff(func_def_2943,type,
    sK2932: 
      !>[X0: $tType] : ( fun(X0,fun(X0,X0)) > X0 ) ).

tff(func_def_2944,type,
    sK2933: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_2945,type,
    sK2934: 
      !>[X0: $tType] : ( ( set(set(X0)) * set(X0) ) > set(X0) ) ).

tff(func_def_2946,type,
    sK2935: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_2947,type,
    sK2936: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_2948,type,
    sK2937: 
      !>[X0: $tType] : ( ( set(X0) * set(set(X0)) ) > set(X0) ) ).

tff(func_def_2949,type,
    sK2938: 
      !>[X0: $tType] : ( ( set(X0) * set(set(X0)) ) > set(X0) ) ).

tff(func_def_2950,type,
    sK2939: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_2951,type,
    sK2940: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_2952,type,
    sK2941: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * set(X1) * fun(X1,X0) * fun(X1,X0) ) > X1 ) ).

tff(func_def_2953,type,
    sK2942: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_2954,type,
    sK2943: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_2955,type,
    sK2944: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * set(X1) * fun(X1,X0) * fun(X1,X0) ) > X1 ) ).

tff(func_def_2956,type,
    sK2945: 
      !>[X0: $tType] : ( ( set(set(X0)) * nat ) > set(X0) ) ).

tff(func_def_2957,type,
    sK2946: 
      !>[X0: $tType] : ( set(set(X0)) > set(X0) ) ).

tff(func_def_2958,type,
    sK2947: 
      !>[X0: $tType] : ( set(set(X0)) > set(X0) ) ).

tff(func_def_2959,type,
    sK2948: 
      !>[X0: $tType] : ( list(list(X0)) > list(X0) ) ).

tff(func_def_2960,type,
    sK2949: 
      !>[X0: $tType] : ( list(list(X0)) > list(X0) ) ).

tff(func_def_2961,type,
    sK2950: 
      !>[X0: $tType] : ( list(list(X0)) > list(X0) ) ).

tff(func_def_2962,type,
    sK2951: 
      !>[X0: $tType] : ( list(list(X0)) > list(X0) ) ).

tff(func_def_2963,type,
    sK2952: 
      !>[X0: $tType] : ( list(list(X0)) > list(X0) ) ).

tff(func_def_2964,type,
    sK2953: 
      !>[X0: $tType] : ( list(list(X0)) > list(X0) ) ).

tff(func_def_2965,type,
    sK2954: int > nat ).

tff(func_def_2966,type,
    sK2955: 
      !>[X0: $tType] : ( X0 > nat ) ).

tff(func_def_2967,type,
    sK2956: 
      !>[X0: $tType] : ( ( nat * fun(X0,fun(X0,$o)) * X0 * X0 ) > fun(nat,X0) ) ).

tff(func_def_2968,type,
    sK2957: 
      !>[X0: $tType] : ( ( nat * fun(X0,fun(X0,$o)) * fun(nat,X0) ) > nat ) ).

tff(func_def_2969,type,
    sK2958: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) ) > nat ) ).

tff(func_def_2970,type,
    sK2959: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) ) > list(X0) ) ).

tff(func_def_2971,type,
    sK2960: 
      !>[X0: $tType] : ( ( nat * fun(X0,fun(X0,$o)) * X0 * X0 ) > X0 ) ).

tff(func_def_2972,type,
    sK2961: 
      !>[X0: $tType] : ( ( nat * fun(X0,fun(X0,$o)) * X0 * X0 ) > nat ) ).

tff(func_def_2973,type,
    sK2962: 
      !>[X0: $tType] : ( ( nat * fun(X0,fun(X0,$o)) * X0 * X0 ) > X0 ) ).

tff(func_def_2974,type,
    sK2963: 
      !>[X0: $tType] : ( ( nat * fun(X0,fun(X0,$o)) * X0 * X0 ) > nat ) ).

tff(func_def_2975,type,
    sK2964: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) * set(product_prod(X0,X0)) ) > X0 ) ).

tff(func_def_2976,type,
    sK2965: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) * set(product_prod(X0,X0)) ) > nat ) ).

tff(func_def_2977,type,
    sK2966: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * set(X0) ) > X0 ) ).

tff(func_def_2978,type,
    sK2967: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * set(X0) ) > X0 ) ).

tff(func_def_2979,type,
    sK2968: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * set(X0) ) > X1 ) ).

tff(func_def_2980,type,
    sK2969: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * set(X0) * X1 ) > X0 ) ).

tff(func_def_2981,type,
    sK2970: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * set(X1) * fun(X0,$o) ) > X0 ) ).

tff(func_def_2982,type,
    sK2971: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,X0) * fun(X1,X0) ) > X1 ) ).

tff(func_def_2983,type,
    sK2972: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * set(X1) * fun(X0,$o) ) > X1 ) ).

tff(func_def_2984,type,
    sK2973: 
      !>[X0: $tType,X1: $tType] : ( ( X0 * fun(X1,X0) * set(X1) ) > X1 ) ).

tff(func_def_2985,type,
    sK2974: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,$o) * fun(X0,X1) * set(X1) ) > X0 ) ).

tff(func_def_2986,type,
    sK2975: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_2987,type,
    sK2976: 
      !>[X0: $tType,X1: $tType] : ( ( X0 * fun(X1,X0) * set(X1) ) > X1 ) ).

tff(func_def_2988,type,
    sK2977: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * set(X1) * fun(set(X0),$o) ) > set(X0) ) ).

tff(func_def_2989,type,
    sK2978: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * set(X1) * fun(set(X0),$o) ) > set(X1) ) ).

tff(func_def_2990,type,
    sK2979: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,X1) * set(X1) ) > X0 ) ).

tff(func_def_2991,type,
    sK2980: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X1,X0) * set(X1) ) > set(X1) ) ).

tff(func_def_2992,type,
    sK2981: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * set(X0) * set(X1) ) > X0 ) ).

tff(func_def_2993,type,
    sK2982: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X1,X0) * set(X1) ) > set(X1) ) ).

tff(func_def_2994,type,
    sK2983: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( set(X0) * set(X2) * fun(X0,X1) * fun(X2,X1) ) > X0 ) ).

tff(func_def_2995,type,
    sK2984: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( set(X0) * set(X2) * fun(X0,X1) * fun(X2,X1) ) > X2 ) ).

tff(func_def_2996,type,
    sK2985: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( set(X0) * set(X2) * fun(X2,X1) * fun(X0,X1) ) > X0 ) ).

tff(func_def_2997,type,
    sK2986: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( set(X0) * set(X2) * fun(X2,X1) * fun(X0,X1) ) > X2 ) ).

tff(func_def_2998,type,
    sK2987: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * set(X1) * fun(set(X0),$o) ) > set(X0) ) ).

tff(func_def_2999,type,
    sK2988: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * set(X1) * fun(set(X0),$o) ) > set(X1) ) ).

tff(func_def_3000,type,
    sK2989: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * set(X1) * fun(set(X0),$o) ) > set(X0) ) ).

tff(func_def_3001,type,
    sK2990: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * set(X1) * fun(set(X0),$o) ) > set(X1) ) ).

tff(func_def_3002,type,
    sK2991: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X1,X0) * set(X1) ) > set(X1) ) ).

tff(func_def_3003,type,
    sK2992: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,X1) * X1 ) > X0 ) ).

tff(func_def_3004,type,
    sK2993: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,X1) * X1 ) > X0 ) ).

tff(func_def_3005,type,
    sK2994: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,X1) * X1 ) > X0 ) ).

tff(func_def_3006,type,
    sK2995: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,X1) * X1 ) > X1 ) ).

tff(func_def_3007,type,
    sK2996: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( set(X0) * set(X2) * fun(X0,X1) * fun(X2,X1) ) > X0 ) ).

tff(func_def_3008,type,
    sK2997: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,X1) * X1 ) > X0 ) ).

tff(func_def_3009,type,
    sK2998: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * fun(X1,X0) ) > X1 ) ).

tff(func_def_3010,type,
    sK2999: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * set(X0) * X1 ) > X0 ) ).

tff(func_def_3011,type,
    sK3000: 
      !>[X0: $tType,X1: $tType] : ( ( X0 * fun(X1,X0) * set(X1) ) > X1 ) ).

tff(func_def_3012,type,
    sK3001: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * X1 * fun(X0,X1) ) > X0 ) ).

tff(func_def_3013,type,
    sK3002: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * X1 * fun(X0,X1) ) > X1 ) ).

tff(func_def_3014,type,
    sK3003: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( set(X2) * set(X0) * fun(X0,X1) * fun(X2,X1) ) > X2 ) ).

tff(func_def_3015,type,
    sK3004: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * fun(X1,X0) ) > X1 ) ).

tff(func_def_3016,type,
    sK3005: 
      !>[X0: $tType,X1: $tType] : ( ( X0 * fun(X1,X0) * set(X1) ) > X1 ) ).

tff(func_def_3017,type,
    sK3006: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * X0 * fun(X1,X0) ) > X1 ) ).

tff(func_def_3018,type,
    sK3007: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * set(X0) * X1 ) > X0 ) ).

tff(func_def_3019,type,
    sK3008: 
      !>[X0: $tType] : ( set(X0) > nat ) ).

tff(func_def_3020,type,
    sK3009: 
      !>[X0: $tType] : ( set(X0) > fun(nat,X0) ) ).

tff(func_def_3021,type,
    sK3010: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,X0) * X1 ) > X1 ) ).

tff(func_def_3022,type,
    sK3011: 
      !>[X0: $tType,X1: $tType] : ( ( X0 * fun(X1,X0) * set(X1) ) > X0 ) ).

tff(func_def_3023,type,
    sK3012: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * set(X1) * X0 ) > X1 ) ).

tff(func_def_3024,type,
    sK3013: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * set(X0) * X1 ) > X1 ) ).

tff(func_def_3025,type,
    sK3014: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * set(X0) * X1 ) > X0 ) ).

tff(func_def_3026,type,
    sK3015: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,X1) * X1 ) > X0 ) ).

tff(func_def_3027,type,
    sK3016: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * X1 * fun(X0,X1) ) > X0 ) ).

tff(func_def_3028,type,
    sK3017: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * X1 * fun(X0,X1) ) > X0 ) ).

tff(func_def_3029,type,
    sK3018: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * X0 * fun(X1,X0) ) > X1 ) ).

tff(func_def_3030,type,
    sK3019: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,X1) * X1 ) > X0 ) ).

tff(func_def_3031,type,
    sK3020: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,X1) * X1 ) > X0 ) ).

tff(func_def_3032,type,
    sK3021: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,X0) * fun(X1,X0) ) > X1 ) ).

tff(func_def_3033,type,
    sK3022: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,X0) * fun(X1,X0) ) > X1 ) ).

tff(func_def_3034,type,
    sK3023: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_3035,type,
    sK3024: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_3036,type,
    sK3025: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_3037,type,
    sK3026: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,X0) * fun(X1,X0) ) > X1 ) ).

tff(func_def_3038,type,
    sK3027: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_3039,type,
    sK3028: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,X0) * fun(X1,X0) ) > X1 ) ).

tff(func_def_3040,type,
    sK3029: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,set(X0)) ) > X1 ) ).

tff(func_def_3041,type,
    sK3030: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,set(X0)) ) > X1 ) ).

tff(func_def_3042,type,
    sK3031: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,filter(X1)) ) > set(X0) ) ).

tff(func_def_3043,type,
    sK3032: set(int) > int ).

tff(func_def_3044,type,
    sK3033: set(int) > int ).

tff(func_def_3045,type,
    sK3034: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,set(X1)) * set(X0) ) > X0 ) ).

tff(func_def_3046,type,
    sK3035: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,set(X1)) * set(X0) ) > X0 ) ).

tff(func_def_3047,type,
    sK3036: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,set(X1)) * set(X0) * set(X1) ) > X0 ) ).

tff(func_def_3048,type,
    sK3037: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,set(X1)) * set(X1) ) > X0 ) ).

tff(func_def_3049,type,
    sK3038: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,set(X0)) * fun(X1,set(X0)) ) > X1 ) ).

tff(func_def_3050,type,
    sK3039: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X1,set(X0)) * set(X1) ) > X1 ) ).

tff(func_def_3051,type,
    sK3040: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,set(X0)) * fun(X1,set(X0)) ) > X1 ) ).

tff(func_def_3052,type,
    sK3041: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * set(X0) * fun(X1,set(X0)) ) > X1 ) ).

tff(func_def_3053,type,
    sK3042: 
      !>[X0: $tType] : ( ( list(X0) * set(nat) ) > nat ) ).

tff(func_def_3054,type,
    sK3043: 
      !>[X0: $tType] : ( ( set(set(X0)) * X0 ) > set(X0) ) ).

tff(func_def_3055,type,
    sK3044: 
      !>[X0: $tType,X1: $tType] : ( ( list(X1) * fun(X1,X0) * X1 ) > X1 ) ).

tff(func_def_3056,type,
    sK3045: 
      !>[X0: $tType] : ( ( nat * list(X0) * list(X0) ) > nat ) ).

tff(func_def_3057,type,
    sK3046: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,set(X0)) ) > X1 ) ).

tff(func_def_3058,type,
    sK3047: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,set(X0)) ) > X1 ) ).

tff(func_def_3059,type,
    sK3048: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,set(X0)) ) > X1 ) ).

tff(func_def_3060,type,
    sK3049: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,set(X0)) ) > X1 ) ).

tff(func_def_3061,type,
    sK3050: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,set(X0)) ) > X1 ) ).

tff(func_def_3062,type,
    sK3051: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,set(X0)) ) > X1 ) ).

tff(func_def_3063,type,
    sK3052: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,set(X0)) ) > X1 ) ).

tff(func_def_3064,type,
    sK3053: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,set(X0)) ) > X1 ) ).

tff(func_def_3065,type,
    sK3054: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,set(X0)) ) > X1 ) ).

tff(func_def_3066,type,
    sK3055: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,filter(X1)) ) > X0 ) ).

tff(func_def_3067,type,
    sK3056: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,filter(X1)) ) > X0 ) ).

tff(func_def_3068,type,
    sK3057: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,filter(X1)) ) > X0 ) ).

tff(func_def_3069,type,
    sK3058: 
      !>[X0: $tType] : ( set(filter(X0)) > set(filter(X0)) ) ).

tff(func_def_3070,type,
    sK3060: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) * set(list(X0)) ) > X0 ) ).

tff(func_def_3071,type,
    sK3061: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) * set(list(X0)) ) > list(X0) ) ).

tff(func_def_3072,type,
    sK3062: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) * set(list(X0)) ) > X0 ) ).

tff(func_def_3073,type,
    sK3063: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) * set(list(X0)) ) > list(X0) ) ).

tff(func_def_3074,type,
    sK3064: fun(nat,real) > nat ).

tff(func_def_3075,type,
    sK3065: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_3076,type,
    sK3066: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_3077,type,
    sK3067: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * set(X1) ) > X0 ) ).

tff(func_def_3078,type,
    sK3068: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * set(X1) * X0 ) > X1 ) ).

tff(func_def_3079,type,
    sK3069: 
      !>[X0: $tType,X1: $tType] : ( ( X0 * fun(X1,X0) ) > X1 ) ).

tff(func_def_3080,type,
    sK3070: 
      !>[X0: $tType] : ( fun(X0,fun(X0,X0)) > X0 ) ).

tff(func_def_3081,type,
    sK3071: 
      !>[X0: $tType] : ( fun(X0,fun(X0,X0)) > X0 ) ).

tff(func_def_3082,type,
    sK3072: 
      !>[X0: $tType] : ( fun(X0,fun(X0,X0)) > X0 ) ).

tff(func_def_3083,type,
    sK3073: 
      !>[X0: $tType] : ( fun(X0,fun(X0,X0)) > X0 ) ).

tff(func_def_3084,type,
    sK3074: 
      !>[X0: $tType] : ( fun(X0,fun(X0,X0)) > X0 ) ).

tff(func_def_3085,type,
    sK3075: 
      !>[X0: $tType] : ( fun(X0,fun(X0,X0)) > X0 ) ).

tff(func_def_3086,type,
    sK3076: 
      !>[X0: $tType] : ( fun(X0,fun(X0,X0)) > X0 ) ).

tff(func_def_3087,type,
    sK3077: 
      !>[X0: $tType] : ( ( set(X0) * set(X0) * set(X0) ) > set(X0) ) ).

tff(func_def_3088,type,
    sK3078: 
      !>[X0: $tType] : ( ( set(X0) * set(X0) * set(X0) ) > set(X0) ) ).

tff(func_def_3089,type,
    sK3079: 
      !>[X0: $tType] : ( ( set(X0) * set(X0) * fun(X0,$o) ) > X0 ) ).

tff(func_def_3090,type,
    sK3080: 
      !>[X0: $tType] : ( ( set(X0) * fun(X0,$o) ) > X0 ) ).

tff(func_def_3091,type,
    sK3081: 
      !>[X0: $tType] : ( ( set(X0) * fun(X0,$o) ) > X0 ) ).

tff(func_def_3092,type,
    sK3082: 
      !>[X0: $tType] : ( ( set(X0) * set(X0) * fun(X0,$o) ) > X0 ) ).

tff(func_def_3093,type,
    sK3083: 
      !>[X0: $tType] : ( ( set(X0) * fun(X0,$o) ) > X0 ) ).

tff(func_def_3094,type,
    sK3084: 
      !>[X0: $tType] : ( ( set(X0) * fun(X0,$o) ) > X0 ) ).

tff(func_def_3095,type,
    sK3085: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_3096,type,
    sK3086: 
      !>[X0: $tType] : X0 ).

tff(func_def_3097,type,
    sK3087: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_3098,type,
    sK3088: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_3099,type,
    sK3089: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_3100,type,
    sK3090: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_3101,type,
    sK3091: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_3102,type,
    sK3092: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_3103,type,
    sK3093: 
      !>[X0: $tType] : ( ( fun(nat,set(X0)) * set(X0) ) > nat ) ).

tff(func_def_3104,type,
    sK3094: 
      !>[X0: $tType] : ( ( fun(nat,set(X0)) * fun(nat,set(X0)) * nat ) > nat ) ).

tff(func_def_3105,type,
    sK3095: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) * set(list(X0)) ) > X0 ) ).

tff(func_def_3106,type,
    sK3096: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) * set(list(X0)) ) > list(X0) ) ).

tff(func_def_3107,type,
    sK3097: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) * set(list(X0)) ) > X0 ) ).

tff(func_def_3108,type,
    sK3098: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) * set(list(X0)) ) > list(X0) ) ).

tff(func_def_3109,type,
    sK3099: 
      !>[X0: $tType] : ( ( fun(nat,set(X0)) * fun(nat,set(X0)) * nat ) > nat ) ).

tff(func_def_3110,type,
    sK3100: 
      !>[X0: $tType] : ( ( fun(nat,set(X0)) * set(X0) ) > nat ) ).

tff(func_def_3111,type,
    sK3101: 
      !>[X0: $tType] : ( ( fun(nat,set(X0)) * nat ) > nat ) ).

tff(func_def_3112,type,
    sK3102: 
      !>[X0: $tType] : ( ( fun(nat,set(X0)) * nat ) > nat ) ).

tff(func_def_3113,type,
    sK3103: 
      !>[X0: $tType] : ( ( fun(nat,set(X0)) * nat ) > nat ) ).

tff(func_def_3114,type,
    sK3104: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * set(X0) * fun(X1,fun(X0,X0)) * fun(X1,fun(X0,X0)) ) > X1 ) ).

tff(func_def_3115,type,
    sK3105: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * set(X0) * fun(X1,fun(X0,X0)) * fun(X1,fun(X0,X0)) ) > X0 ) ).

tff(func_def_3116,type,
    sK3106: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * set(X0) * fun(X1,fun(X0,X0)) ) > X1 ) ).

tff(func_def_3117,type,
    sK3107: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * set(X0) * fun(X1,fun(X0,X0)) ) > X0 ) ).

tff(func_def_3118,type,
    sK3108: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) * set(product_prod(X0,X0)) ) > nat ) ).

tff(func_def_3119,type,
    sK3110: ( real * real * fun(real,real) * fun(real,real) ) > real ).

tff(func_def_3120,type,
    sK3111: ( real * real * fun(real,real) ) > real ).

tff(func_def_3121,type,
    sK3112: ( real * real * fun(real,real) ) > real ).

tff(func_def_3122,type,
    sK3113: ( real * real * fun(real,real) ) > real ).

tff(func_def_3123,type,
    sK3114: ( real * real * fun(real,real) ) > real ).

tff(func_def_3124,type,
    sK3115: ( real * real * fun(real,real) ) > real ).

tff(func_def_3125,type,
    sK3116: ( real * real * fun(real,real) * fun(real,real) ) > real ).

tff(func_def_3126,type,
    sK3117: ( real * real * fun(real,real) * fun(real,real) ) > real ).

tff(func_def_3127,type,
    sK3118: ( fun(real,real) * real * real ) > real ).

tff(func_def_3128,type,
    sK3119: ( fun(real,real) * real * real ) > real ).

tff(func_def_3129,type,
    sK3120: ( fun(real,fun(nat,real)) * fun(real,fun(nat,real)) * real ) > nat ).

tff(func_def_3130,type,
    sK3121: ( fun(real,fun(nat,real)) * real * real ) > real ).

tff(func_def_3131,type,
    sK3122: ( fun(real,fun(nat,real)) * real * real * fun(nat,real) ) > nat ).

tff(func_def_3132,type,
    sK3123: ( fun(real,fun(nat,real)) * real * real * fun(nat,real) ) > real ).

tff(func_def_3133,type,
    sK3124: ( fun(real,fun(nat,real)) * real * real * fun(nat,real) ) > real ).

tff(func_def_3134,type,
    sK3125: fun(nat,fun(real,real)) > nat ).

tff(func_def_3135,type,
    sK3126: fun(nat,fun(real,real)) > real ).

tff(func_def_3136,type,
    sK3127: ( fun(nat,fun(real,real)) * fun(real,real) * real * nat ) > real ).

tff(func_def_3137,type,
    sK3128: fun(nat,fun(real,real)) > nat ).

tff(func_def_3138,type,
    sK3129: fun(nat,fun(real,real)) > real ).

tff(func_def_3139,type,
    sK3130: ( fun(nat,fun(real,real)) * fun(real,real) * real * nat ) > real ).

tff(func_def_3140,type,
    sK3131: ( real * nat * fun(nat,fun(real,real)) ) > nat ).

tff(func_def_3141,type,
    sK3132: ( real * nat * fun(nat,fun(real,real)) ) > real ).

tff(func_def_3142,type,
    sK3133: ( real * nat * fun(nat,fun(real,real)) * fun(real,real) ) > real ).

tff(func_def_3143,type,
    sK3134: ( real * fun(nat,fun(real,real)) * nat ) > nat ).

tff(func_def_3144,type,
    sK3135: ( real * fun(nat,fun(real,real)) * nat ) > real ).

tff(func_def_3145,type,
    sK3136: ( real * fun(nat,fun(real,real)) * fun(real,real) * nat ) > real ).

tff(func_def_3146,type,
    sK3137: ( real * nat * fun(nat,fun(real,real)) ) > nat ).

tff(func_def_3147,type,
    sK3138: ( real * nat * fun(nat,fun(real,real)) ) > real ).

tff(func_def_3148,type,
    sK3139: ( real * nat * fun(nat,fun(real,real)) * fun(real,real) ) > real ).

tff(func_def_3149,type,
    sK3140: fun(nat,fun(real,real)) > nat ).

tff(func_def_3150,type,
    sK3141: fun(nat,fun(real,real)) > real ).

tff(func_def_3151,type,
    sK3142: ( fun(nat,fun(real,real)) * fun(real,real) * nat * real ) > real ).

tff(func_def_3152,type,
    sK3143: ( fun(nat,fun(real,real)) * nat * real ) > nat ).

tff(func_def_3153,type,
    sK3144: ( fun(nat,fun(real,real)) * nat * real ) > real ).

tff(func_def_3154,type,
    sK3145: ( fun(nat,fun(real,real)) * fun(real,real) * nat * real ) > real ).

tff(func_def_3155,type,
    sK3146: ( nat * fun(nat,fun(real,real)) * real * real ) > nat ).

tff(func_def_3156,type,
    sK3147: ( nat * fun(nat,fun(real,real)) * real * real ) > real ).

tff(func_def_3157,type,
    sK3148: ( nat * fun(nat,fun(real,real)) * fun(real,real) * real * real ) > real ).

tff(func_def_3158,type,
    sK3149: ( nat * fun(nat,fun(real,real)) * real * real ) > nat ).

tff(func_def_3159,type,
    sK3150: ( nat * fun(nat,fun(real,real)) * real * real ) > real ).

tff(func_def_3160,type,
    sK3151: ( nat * fun(nat,fun(real,real)) * fun(real,real) * real * real ) > real ).

tff(func_def_3161,type,
    sK3152: ( nat * fun(nat,fun(real,real)) * real * real ) > nat ).

tff(func_def_3162,type,
    sK3153: ( nat * fun(nat,fun(real,real)) * real * real ) > real ).

tff(func_def_3163,type,
    sK3154: ( nat * fun(nat,fun(real,real)) * fun(real,real) * real * real ) > real ).

tff(func_def_3164,type,
    sK3155: ( nat * real * fun(nat,fun(real,real)) ) > nat ).

tff(func_def_3165,type,
    sK3156: ( nat * real * fun(nat,fun(real,real)) ) > real ).

tff(func_def_3166,type,
    sK3157: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( set(X1) * fun(X2,fun(X1,X0)) * filter(X2) ) > X1 ) ).

tff(func_def_3167,type,
    sK3158: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( set(X1) * fun(X2,fun(X1,X0)) * filter(X2) ) > X1 ) ).

tff(func_def_3168,type,
    sK3159: 
      !>[X0: $tType] : ( ( X0 * fun(X0,real) ) > X0 ) ).

tff(func_def_3169,type,
    sK3160: 
      !>[X0: $tType] : ( ( fun(X0,real) * X0 * fun(X0,real) ) > X0 ) ).

tff(func_def_3170,type,
    sK3161: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( fun(X2,X0) * X0 * X2 * fun(X2,X1) * X1 ) > X2 ) ).

tff(func_def_3171,type,
    sK3162: 
      !>[X0: $tType,X1: $tType] : ( ( real * fun(X1,X0) * real ) > X1 ) ).

tff(func_def_3172,type,
    sK3163: 
      !>[X0: $tType] : ( ( real * fun(nat,X0) * fun(X0,X0) ) > X0 ) ).

tff(func_def_3173,type,
    sK3164: 
      !>[X0: $tType] : ( ( real * fun(nat,X0) * fun(X0,X0) ) > X0 ) ).

tff(func_def_3174,type,
    sK3165: 
      !>[X0: $tType,X1: $tType] : ( ( real * fun(nat,real) * fun(X1,fun(nat,X0)) ) > X1 ) ).

tff(func_def_3175,type,
    sK3166: 
      !>[X0: $tType,X1: $tType] : ( ( real * fun(nat,real) * fun(X1,fun(nat,X0)) ) > nat ) ).

tff(func_def_3176,type,
    sK3167: fun(nat,real) > nat ).

tff(func_def_3177,type,
    sK3168: fun(nat,real) > nat ).

tff(func_def_3178,type,
    sK3169: 
      !>[X0: $tType] : ( X0 > fun(nat,X0) ) ).

tff(func_def_3179,type,
    sK3170: 
      !>[X0: $tType] : ( X0 > fun(nat,X0) ) ).

tff(func_def_3180,type,
    sK3171: 
      !>[X0: $tType] : ( ( nat * fun(nat,X0) * fun(nat,X0) ) > nat ) ).

tff(func_def_3181,type,
    sK3172: 
      !>[X0: $tType] : ( ( fun(nat,X0) * fun(nat,X0) * nat ) > nat ) ).

tff(func_def_3182,type,
    sK3173: 
      !>[X0: $tType] : ( ( fun(nat,X0) * nat * X0 ) > nat ) ).

tff(func_def_3183,type,
    sK3174: 
      !>[X0: $tType] : ( ( fun(nat,X0) * nat * X0 ) > nat ) ).

tff(func_def_3184,type,
    sK3175: 
      !>[X0: $tType] : ( ( fun(nat,X0) * X0 * nat ) > nat ) ).

tff(func_def_3185,type,
    sK3176: 
      !>[X0: $tType] : ( ( fun(nat,X0) * X0 * nat ) > nat ) ).

tff(func_def_3186,type,
    sK3177: 
      !>[X0: $tType] : ( ( fun(nat,X0) * set(X0) ) > nat ) ).

tff(func_def_3187,type,
    sK3178: 
      !>[X0: $tType] : ( ( fun(nat,X0) * set(X0) ) > nat ) ).

tff(func_def_3188,type,
    sK3179: 
      !>[X0: $tType] : ( set(X0) > fun(nat,X0) ) ).

tff(func_def_3189,type,
    sK3180: ( fun(nat,real) * real ) > nat ).

tff(func_def_3190,type,
    sK3181: fun(nat,real) > real ).

tff(func_def_3191,type,
    sK3182: fun(nat,real) > nat ).

tff(func_def_3192,type,
    sK3183: fun(nat,real) > nat ).

tff(func_def_3193,type,
    sK3184: ( fun(nat,real) * fun(nat,real) ) > nat ).

tff(func_def_3194,type,
    sK3185: ( fun(nat,real) * fun(nat,real) ) > real ).

tff(func_def_3195,type,
    sK3186: fun(nat,real) > real ).

tff(func_def_3196,type,
    sK3187: ( fun(nat,real) * nat ) > nat ).

tff(func_def_3197,type,
    sK3188: fun(nat,real) > nat ).

tff(func_def_3198,type,
    sK3189: ( fun(nat,real) * real ) > nat ).

tff(func_def_3199,type,
    sK3190: ( fun(nat,real) * real ) > real ).

tff(func_def_3200,type,
    sK3191: 
      !>[X0: $tType] : ( ( fun(nat,X0) * X0 * real ) > nat ) ).

tff(func_def_3201,type,
    sK3192: 
      !>[X0: $tType] : ( ( fun(nat,X0) * X0 ) > real ) ).

tff(func_def_3202,type,
    sK3193: 
      !>[X0: $tType] : ( ( fun(nat,X0) * X0 * nat ) > nat ) ).

tff(func_def_3203,type,
    sK3194: 
      !>[X0: $tType] : ( ( fun(nat,X0) * X0 ) > real ) ).

tff(func_def_3204,type,
    sK3195: 
      !>[X0: $tType] : ( ( fun(nat,X0) * X0 * real ) > nat ) ).

tff(func_def_3205,type,
    sK3196: 
      !>[X0: $tType] : ( ( fun(nat,X0) * X0 * nat ) > nat ) ).

tff(func_def_3206,type,
    sK3197: 
      !>[X0: $tType] : ( fun(nat,X0) > nat ) ).

tff(func_def_3207,type,
    sK3198: 
      !>[X0: $tType] : ( fun(nat,X0) > nat ) ).

tff(func_def_3208,type,
    sK3199: fun(nat,real) > nat ).

tff(func_def_3209,type,
    sK3200: fun(nat,real) > nat ).

tff(func_def_3210,type,
    sK3201: fun(nat,real) > nat ).

tff(func_def_3211,type,
    sK3202: fun(nat,real) > nat ).

tff(func_def_3212,type,
    sK3203: fun(nat,real) > nat ).

tff(func_def_3213,type,
    sK3204: fun(nat,real) > nat ).

tff(func_def_3214,type,
    sK3205: fun(nat,real) > nat ).

tff(func_def_3215,type,
    sK3206: fun(nat,real) > nat ).

tff(func_def_3216,type,
    sK3207: fun(nat,real) > real ).

tff(func_def_3217,type,
    sK3208: fun(nat,real) > nat ).

tff(func_def_3218,type,
    sK3209: fun(nat,real) > nat ).

tff(func_def_3219,type,
    sK3210: 
      !>[X0: $tType] : ( ( fun(nat,X0) * real ) > nat ) ).

tff(func_def_3220,type,
    sK3211: 
      !>[X0: $tType] : ( fun(nat,X0) > real ) ).

tff(func_def_3221,type,
    sK3212: 
      !>[X0: $tType] : ( ( fun(nat,X0) * real ) > nat ) ).

tff(func_def_3222,type,
    sK3213: 
      !>[X0: $tType] : ( ( real * fun(nat,X0) ) > nat ) ).

tff(func_def_3223,type,
    sK3214: 
      !>[X0: $tType] : ( fun(nat,X0) > real ) ).

tff(func_def_3224,type,
    sK3215: 
      !>[X0: $tType] : ( fun(nat,X0) > real ) ).

tff(func_def_3225,type,
    sK3216: 
      !>[X0: $tType] : ( fun(nat,X0) > nat ) ).

tff(func_def_3226,type,
    sK3217: 
      !>[X0: $tType] : ( ( fun(nat,X0) * nat ) > nat ) ).

tff(func_def_3227,type,
    sK3218: ( real * fun(real,real) ) > real ).

tff(func_def_3228,type,
    sK3219: 
      !>[X0: $tType] : ( fun(nat,X0) > real ) ).

tff(func_def_3229,type,
    sK3220: 
      !>[X0: $tType] : ( fun(nat,X0) > nat ) ).

tff(func_def_3230,type,
    sK3221: 
      !>[X0: $tType] : ( ( fun(nat,X0) * real * nat ) > nat ) ).

tff(func_def_3231,type,
    sK3222: 
      !>[X0: $tType] : ( fun(nat,X0) > real ) ).

tff(func_def_3232,type,
    sK3223: 
      !>[X0: $tType] : ( fun(nat,X0) > X0 ) ).

tff(func_def_3233,type,
    sK3224: 
      !>[X0: $tType] : ( ( fun(nat,X0) * real * X0 ) > nat ) ).

tff(func_def_3234,type,
    sK3225: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * filter(X1) ) > X0 ) ).

tff(func_def_3235,type,
    sK3226: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * filter(X1) * X0 ) > X0 ) ).

tff(func_def_3236,type,
    sK3227: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * filter(X1) ) > X0 ) ).

tff(func_def_3237,type,
    sK3228: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * filter(X1) * X0 ) > X0 ) ).

tff(func_def_3238,type,
    sK3229: 
      !>[X0: $tType] : ( fun(X0,$o) > X0 ) ).

tff(func_def_3239,type,
    sK3230: 
      !>[X0: $tType] : ( fun(X0,$o) > X0 ) ).

tff(func_def_3240,type,
    sK3231: 
      !>[X0: $tType] : ( fun(X0,$o) > X0 ) ).

tff(func_def_3241,type,
    sK3232: 
      !>[X0: $tType] : ( fun(X0,$o) > X0 ) ).

tff(func_def_3242,type,
    sK3233: 
      !>[X0: $tType] : ( ( fun(X0,$o) * X0 ) > X0 ) ).

tff(func_def_3243,type,
    sK3234: 
      !>[X0: $tType] : ( ( filter(X0) * filter(X0) ) > fun(X0,$o) ) ).

tff(func_def_3244,type,
    sK3235: 
      !>[X0: $tType] : ( ( filter(X0) * filter(X0) ) > fun(X0,$o) ) ).

tff(func_def_3245,type,
    sK3236: 
      !>[X0: $tType] : ( fun(X0,$o) > X0 ) ).

tff(func_def_3246,type,
    sK3237: 
      !>[X0: $tType] : ( ( fun(X0,$o) * X0 ) > X0 ) ).

tff(func_def_3247,type,
    sK3238: 
      !>[X0: $tType] : ( ( X0 * fun(X0,$o) ) > X0 ) ).

tff(func_def_3248,type,
    sK3239: 
      !>[X0: $tType] : ( fun(X0,$o) > X0 ) ).

tff(func_def_3249,type,
    sK3240: 
      !>[X0: $tType] : ( ( fun(X0,$o) * X0 ) > X0 ) ).

tff(func_def_3250,type,
    sK3241: 
      !>[X0: $tType] : ( fun(X0,$o) > X0 ) ).

tff(func_def_3251,type,
    sK3242: 
      !>[X0: $tType] : ( ( fun(X0,$o) * X0 ) > X0 ) ).

tff(func_def_3252,type,
    sK3243: ( nat * fun(nat,$o) ) > nat ).

tff(func_def_3253,type,
    sK3244: fun(nat,$o) > nat ).

tff(func_def_3254,type,
    sK3245: ( fun(nat,$o) * nat ) > nat ).

tff(func_def_3255,type,
    sK3246: filter(nat) > nat ).

tff(func_def_3256,type,
    sK3247: 
      !>[X0: $tType] : ( fun(X0,$o) > X0 ) ).

tff(func_def_3257,type,
    sK3248: 
      !>[X0: $tType] : ( ( fun(X0,$o) * X0 ) > X0 ) ).

tff(func_def_3258,type,
    sK3249: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,$o) * fun(X1,X0) ) > X1 ) ).

tff(func_def_3259,type,
    sK3250: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,$o) * fun(X1,X0) ) > X1 ) ).

tff(func_def_3260,type,
    sK3251: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * fun(X0,$o) * fun(X0,X1) ) > X0 ) ).

tff(func_def_3261,type,
    sK3252: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,$o) * fun(X0,$o) * fun(X0,X1) ) > X0 ) ).

tff(func_def_3262,type,
    sK3253: 
      !>[X0: $tType] : ( ( X0 * fun(X0,$o) ) > X0 ) ).

tff(func_def_3263,type,
    sK3254: 
      !>[X0: $tType] : ( ( X0 * fun(X0,$o) * X0 ) > X0 ) ).

tff(func_def_3264,type,
    sK3255: 
      !>[X0: $tType] : ( ( fun(X0,$o) * X0 ) > X0 ) ).

tff(func_def_3265,type,
    sK3256: 
      !>[X0: $tType] : ( ( fun(X0,$o) * X0 * X0 ) > X0 ) ).

tff(func_def_3266,type,
    sK3257: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,X1) * fun(X0,fun(X0,X1)) ) > X0 ) ).

tff(func_def_3267,type,
    sK3258: 
      !>[X0: $tType] : ( fun(X0,$o) > real ) ).

tff(func_def_3268,type,
    sK3259: 
      !>[X0: $tType] : ( ( fun(X0,$o) * real ) > X0 ) ).

tff(func_def_3269,type,
    sK3260: 
      !>[X0: $tType,X1: $tType] : ( ( X0 * fun(X1,X0) * filter(X1) ) > X0 ) ).

tff(func_def_3270,type,
    sK3261: 
      !>[X0: $tType,X1: $tType] : ( ( X0 * fun(X1,X0) * filter(X1) ) > X0 ) ).

tff(func_def_3271,type,
    sK3262: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * X0 * filter(X1) ) > X0 ) ).

tff(func_def_3272,type,
    sK3263: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * X0 * filter(X1) ) > X0 ) ).

tff(func_def_3273,type,
    sK3264: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * filter(X1) ) > X0 ) ).

tff(func_def_3274,type,
    sK3265: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * filter(X1) * X0 ) > X0 ) ).

tff(func_def_3275,type,
    sK3266: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * filter(X1) ) > X0 ) ).

tff(func_def_3276,type,
    sK3267: 
      !>[X0: $tType] : ( set(filter(X0)) > filter(X0) ) ).

tff(func_def_3277,type,
    sK3268: 
      !>[X0: $tType] : ( ( set(filter(X0)) * fun(X0,$o) ) > filter(X0) ) ).

tff(func_def_3278,type,
    sK3269: 
      !>[X0: $tType] : ( set(filter(X0)) > filter(X0) ) ).

tff(func_def_3279,type,
    sK3270: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X1,$o) * fun(X0,filter(X1)) ) > fun(X0,fun(X1,$o)) ) ).

tff(func_def_3280,type,
    sK3271: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X1,$o) * fun(X0,fun(X1,$o)) ) > X1 ) ).

tff(func_def_3281,type,
    sK3272: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,filter(X1)) * fun(X0,fun(X1,$o)) ) > X0 ) ).

tff(func_def_3282,type,
    sK3273: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X1,$o) * fun(X0,filter(X1)) * X1 ) > X0 ) ).

tff(func_def_3283,type,
    sK3274: 
      !>[X0: $tType] : ( ( X0 * X0 * fun(X0,$o) ) > X0 ) ).

tff(func_def_3284,type,
    sK3275: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * X0 * filter(X1) ) > X0 ) ).

tff(func_def_3285,type,
    sK3276: 
      !>[X0: $tType,X1: $tType] : ( ( X0 * fun(X1,X0) * filter(X1) ) > X0 ) ).

tff(func_def_3286,type,
    sK3277: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * filter(X1) * X0 ) > X0 ) ).

tff(func_def_3287,type,
    sK3278: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,$o) * fun(X1,filter(X0)) * set(X1) ) > set(X1) ) ).

tff(func_def_3288,type,
    sK3279: 
      !>[X0: $tType] : ( fun(X0,$o) > real ) ).

tff(func_def_3289,type,
    sK3280: 
      !>[X0: $tType] : ( ( fun(X0,$o) * real ) > X0 ) ).

tff(func_def_3290,type,
    sK3281: 
      !>[X0: $tType] : ( ( fun(X0,$o) * set(filter(X0)) ) > set(filter(X0)) ) ).

tff(func_def_3291,type,
    sK3282: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * filter(X1) ) > real ) ).

tff(func_def_3292,type,
    sK3283: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * filter(X1) ) > real ) ).

tff(func_def_3293,type,
    sK3284: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,$o) * fun(X1,X0) ) > X1 ) ).

tff(func_def_3294,type,
    sK3285: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,$o) * fun(X1,X0) ) > X1 ) ).

tff(func_def_3295,type,
    sK3286: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * fun(X0,$o) * fun(X0,X1) ) > X0 ) ).

tff(func_def_3296,type,
    sK3287: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,$o) * fun(X0,$o) * fun(X0,X1) ) > X0 ) ).

tff(func_def_3297,type,
    sK3288: 
      !>[X0: $tType] : ( ( fun(X0,$o) * X0 ) > X0 ) ).

tff(func_def_3298,type,
    sK3290: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,filter(X0)) ) > X1 ) ).

tff(func_def_3299,type,
    sK3291: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,filter(X0)) * fun(X0,$o) ) > X1 ) ).

tff(func_def_3300,type,
    sK3292: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,filter(X0)) ) > X1 ) ).

tff(func_def_3301,type,
    sK3293: 
      !>[X0: $tType,X1: $tType] : ( ( real * fun(X1,X0) * filter(X1) ) > real ) ).

tff(func_def_3302,type,
    sK3294: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( set(X1) * fun(X1,fun(X2,X0)) * fun(X1,fun(X2,X0)) * X2 * set(X2) ) > X1 ) ).

tff(func_def_3303,type,
    sK3295: ( real * fun(real,real) ) > real ).

tff(func_def_3304,type,
    sK3296: 
      !>[X0: $tType,X1: $tType] : ( fun(X1,X0) > real ) ).

tff(func_def_3305,type,
    sK3297: 
      !>[X0: $tType,X1: $tType] : ( fun(X1,X0) > real ) ).

tff(func_def_3306,type,
    sK3298: 
      !>[X0: $tType,X1: $tType] : ( fun(X1,X0) > real ) ).

tff(func_def_3307,type,
    sK3299: 
      !>[X0: $tType,X1: $tType] : ( fun(X1,X0) > X1 ) ).

tff(func_def_3308,type,
    sK3300: 
      !>[X0: $tType,X1: $tType] : ( fun(X1,X0) > X1 ) ).

tff(func_def_3309,type,
    sK3301: 
      !>[X0: $tType,X1: $tType] : ( fun(X1,X0) > real ) ).

tff(func_def_3310,type,
    sK3302: 
      !>[X0: $tType,X1: $tType] : ( fun(X1,X0) > X1 ) ).

tff(func_def_3311,type,
    sK3303: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * real ) > X1 ) ).

tff(func_def_3312,type,
    sK3304: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * fun(X1,X0) * X1 ) > fun(X1,X0) ) ).

tff(func_def_3313,type,
    sK3305: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * fun(X1,X0) * X1 * fun(X1,X0) ) > X1 ) ).

tff(func_def_3314,type,
    sK3306: 
      !>[X0: $tType,X1: $tType] : ( ( X1 * set(X1) * fun(X1,X0) * fun(X1,X0) ) > fun(X1,X0) ) ).

tff(func_def_3315,type,
    sK3307: 
      !>[X0: $tType,X1: $tType] : ( ( X1 * set(X1) * fun(X1,X0) * fun(X1,X0) * fun(X1,X0) ) > X1 ) ).

tff(func_def_3316,type,
    sK3308: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,set(X0)) ) > X1 ) ).

tff(func_def_3317,type,
    sK3309: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_3318,type,
    sK3310: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_3319,type,
    sK3311: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > set(X0) ) ).

tff(func_def_3320,type,
    sK3312: 
      !>[X0: $tType] : ( X0 > fun(nat,set(X0)) ) ).

tff(func_def_3321,type,
    sK3313: 
      !>[X0: $tType] : ( ( X0 * set(X0) ) > nat ) ).

tff(func_def_3322,type,
    sK3314: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_3323,type,
    sK3315: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_3324,type,
    sK3316: 
      !>[X0: $tType] : ( ( X0 * X0 ) > set(X0) ) ).

tff(func_def_3325,type,
    sK3317: 
      !>[X0: $tType] : ( ( X0 * X0 ) > set(X0) ) ).

tff(func_def_3326,type,
    sK3318: 
      !>[X0: $tType] : ( ( X0 * X0 ) > set(X0) ) ).

tff(func_def_3327,type,
    sK3319: 
      !>[X0: $tType] : ( ( X0 * X0 ) > set(X0) ) ).

tff(func_def_3328,type,
    sK3320: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_3329,type,
    sK3321: 
      !>[X0: $tType] : ( X0 > fun(nat,set(X0)) ) ).

tff(func_def_3330,type,
    sK3322: 
      !>[X0: $tType] : ( ( fun(nat,X0) * X0 ) > set(X0) ) ).

tff(func_def_3331,type,
    sK3323: 
      !>[X0: $tType] : ( ( fun(nat,X0) * set(X0) ) > nat ) ).

tff(func_def_3332,type,
    sK3324: 
      !>[X0: $tType] : ( ( fun(nat,X0) * X0 * nat ) > nat ) ).

tff(func_def_3333,type,
    sK3325: 
      !>[X0: $tType,X1: $tType] : ( ( real * fun(X1,X0) * set(X1) * X1 * fun(X1,X0) * fun(X1,real) ) > X1 ) ).

tff(func_def_3334,type,
    sK3326: ( fun(nat,$o) * nat ) > nat ).

tff(func_def_3335,type,
    sK3327: ( fun(nat,$o) * nat ) > nat ).

tff(func_def_3336,type,
    sK3328: ( fun(nat,$o) * nat ) > nat ).

tff(func_def_3337,type,
    sK3329: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_3338,type,
    sK3330: 
      !>[X0: $tType] : ( ( fun(X0,$o) * X0 ) > X0 ) ).

tff(func_def_3339,type,
    sK3331: 
      !>[X0: $tType] : ( ( fun(X0,$o) * fun(X0,$o) ) > X0 ) ).

tff(func_def_3340,type,
    sK3332: 
      !>[X0: $tType] : ( ( fun(X0,$o) * X0 ) > X0 ) ).

tff(func_def_3341,type,
    sK3333: 
      !>[X0: $tType] : ( fun(nat,X0) > real ) ).

tff(func_def_3342,type,
    sK3334: 
      !>[X0: $tType] : ( ( fun(nat,X0) * real ) > nat ) ).

tff(func_def_3343,type,
    sK3335: 
      !>[X0: $tType] : ( ( fun(nat,X0) * nat ) > nat ) ).

tff(func_def_3344,type,
    sK3336: 
      !>[X0: $tType] : ( ( fun(nat,X0) * nat ) > nat ) ).

tff(func_def_3345,type,
    sK3337: 
      !>[X0: $tType] : ( fun(nat,X0) > real ) ).

tff(func_def_3346,type,
    sK3338: 
      !>[X0: $tType] : ( ( fun(nat,X0) * real ) > nat ) ).

tff(func_def_3347,type,
    sK3339: 
      !>[X0: $tType] : ( ( fun(nat,X0) * nat ) > nat ) ).

tff(func_def_3348,type,
    sK3340: 
      !>[X0: $tType] : ( ( fun(nat,X0) * real ) > nat ) ).

tff(func_def_3349,type,
    sK3341: 
      !>[X0: $tType] : ( fun(nat,X0) > real ) ).

tff(func_def_3350,type,
    sK3342: 
      !>[X0: $tType] : ( ( fun(nat,X0) * nat ) > nat ) ).

tff(func_def_3351,type,
    sK3343: 
      !>[X0: $tType] : ( ( fun(nat,X0) * nat ) > nat ) ).

tff(func_def_3352,type,
    sK3344: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( fun(X2,X0) * X0 * X2 * fun(X2,X1) * X1 ) > X2 ) ).

tff(func_def_3353,type,
    sK3345: 
      !>[X0: $tType] : ( ( fun(X0,$o) * X0 * set(X0) ) > real ) ).

tff(func_def_3354,type,
    sK3346: 
      !>[X0: $tType] : ( ( fun(X0,$o) * X0 * set(X0) * real ) > X0 ) ).

tff(func_def_3355,type,
    sK3347: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * X1 * set(X1) * real * fun(X1,X0) ) > X1 ) ).

tff(func_def_3356,type,
    sK3348: 
      !>[X0: $tType] : ( fun(nat,X0) > real ) ).

tff(func_def_3357,type,
    sK3349: 
      !>[X0: $tType] : ( ( fun(nat,X0) * nat ) > nat ) ).

tff(func_def_3358,type,
    sK3350: 
      !>[X0: $tType] : ( ( fun(nat,X0) * nat ) > nat ) ).

tff(func_def_3359,type,
    sK3351: 
      !>[X0: $tType] : ( fun(nat,X0) > real ) ).

tff(func_def_3360,type,
    sK3352: 
      !>[X0: $tType] : ( ( fun(nat,X0) * real ) > nat ) ).

tff(func_def_3361,type,
    sK3353: 
      !>[X0: $tType] : ( ( fun(nat,X0) * nat ) > nat ) ).

tff(func_def_3362,type,
    sK3354: 
      !>[X0: $tType] : ( ( fun(nat,X0) * nat ) > nat ) ).

tff(func_def_3363,type,
    sK3355: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * filter(X1) ) > X0 ) ).

tff(func_def_3364,type,
    sK3356: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * filter(X1) ) > real ) ).

tff(func_def_3365,type,
    sK3357: 
      !>[X0: $tType] : ( ( fun(nat,X0) * X0 * real ) > nat ) ).

tff(func_def_3366,type,
    sK3358: 
      !>[X0: $tType] : ( ( fun(nat,X0) * X0 ) > real ) ).

tff(func_def_3367,type,
    sK3359: 
      !>[X0: $tType] : ( ( fun(nat,X0) * X0 * nat ) > nat ) ).

tff(func_def_3368,type,
    sK3360: 
      !>[X0: $tType] : ( ( fun(nat,X0) * X0 ) > real ) ).

tff(func_def_3369,type,
    sK3361: 
      !>[X0: $tType] : ( ( fun(nat,X0) * X0 * real ) > nat ) ).

tff(func_def_3370,type,
    sK3362: 
      !>[X0: $tType] : ( ( fun(nat,X0) * X0 * nat ) > nat ) ).

tff(func_def_3371,type,
    sK3363: 
      !>[X0: $tType] : ( fun(nat,X0) > nat ) ).

tff(func_def_3372,type,
    sK3364: 
      !>[X0: $tType] : ( ( fun(nat,X0) * nat ) > nat ) ).

tff(func_def_3373,type,
    sK3365: 
      !>[X0: $tType] : ( ( fun(nat,X0) * nat ) > nat ) ).

tff(func_def_3374,type,
    sK3366: 
      !>[X0: $tType] : ( ( fun(nat,X0) * nat ) > nat ) ).

tff(func_def_3375,type,
    sK3367: 
      !>[X0: $tType] : ( ( fun(nat,X0) * X0 ) > real ) ).

tff(func_def_3376,type,
    sK3368: 
      !>[X0: $tType] : ( ( fun(nat,X0) * X0 * real ) > nat ) ).

tff(func_def_3377,type,
    sK3369: 
      !>[X0: $tType] : ( ( fun(nat,X0) * X0 * nat ) > nat ) ).

tff(func_def_3378,type,
    sK3370: 
      !>[X0: $tType] : ( set(X0) > real ) ).

tff(func_def_3379,type,
    sK3371: 
      !>[X0: $tType] : ( ( set(X0) * real ) > set(X0) ) ).

tff(func_def_3380,type,
    sK3372: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,$o) * fun(X1,X0) * X0 * set(X0) ) > set(X0) ) ).

tff(func_def_3381,type,
    sK3373: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,$o) * fun(X1,X0) * X0 * set(X0) * set(X0) ) > X1 ) ).

tff(func_def_3382,type,
    sK3374: 
      !>[X0: $tType,X1: $tType] : ( ( filter(X0) * fun(X1,X0) ) > fun(X0,$o) ) ).

tff(func_def_3383,type,
    sK3375: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,$o) * fun(X1,X0) ) > X0 ) ).

tff(func_def_3384,type,
    sK3376: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,$o) * fun(X1,X0) * X0 ) > X1 ) ).

tff(func_def_3385,type,
    sK3377: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,$o) * fun(X1,X0) ) > X0 ) ).

tff(func_def_3386,type,
    sK3378: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,$o) * fun(X1,X0) * X0 ) > X1 ) ).

tff(func_def_3387,type,
    sK3379: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,$o) * fun(X1,X0) ) > X0 ) ).

tff(func_def_3388,type,
    sK3380: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,$o) * fun(X1,X0) * X0 ) > X1 ) ).

tff(func_def_3389,type,
    sK3381: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,$o) * fun(X1,X0) ) > X0 ) ).

tff(func_def_3390,type,
    sK3382: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,$o) * fun(X1,X0) * X0 ) > X1 ) ).

tff(func_def_3391,type,
    sK3383: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,set(X0)) ) > X1 ) ).

tff(func_def_3392,type,
    sK3384: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * set(X1) * fun(X1,set(X0)) ) > set(X1) ) ).

tff(func_def_3393,type,
    sK3385: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_3394,type,
    sK3386: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_3395,type,
    sK3387: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_3396,type,
    sK3388: 
      !>[X0: $tType] : ( ( set(X0) * set(X0) ) > X0 ) ).

tff(func_def_3397,type,
    sK3389: 
      !>[X0: $tType] : ( ( set(X0) * set(X0) ) > X0 ) ).

tff(func_def_3398,type,
    sK3390: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_3399,type,
    sK3391: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_3400,type,
    sK3392: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_3401,type,
    sK3393: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_3402,type,
    sK3394: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_3403,type,
    sK3395: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_3404,type,
    sK3396: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_3405,type,
    sK3397: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_3406,type,
    sK3398: 
      !>[X0: $tType] : ( fun(X0,X0) > X0 ) ).

tff(func_def_3407,type,
    sK3399: 
      !>[X0: $tType] : ( fun(X0,X0) > X0 ) ).

tff(func_def_3408,type,
    sK3400: 
      !>[X0: $tType] : X0 ).

tff(func_def_3409,type,
    sK3401: 
      !>[X0: $tType] : X0 ).

tff(func_def_3410,type,
    sK3402: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,set(X1)) ) > X0 ) ).

tff(func_def_3411,type,
    sK3403: 
      !>[X0: $tType,X1: $tType,X2: $tType,X3: $tType] : ( ( set(X0) * fun(X0,set(X1)) * fun(X1,X2) * fun(X3,set(X2)) * set(X3) ) > X3 ) ).

tff(func_def_3412,type,
    sK3404: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,set(X1)) ) > X0 ) ).

tff(func_def_3413,type,
    sK3405: 
      !>[X0: $tType,X1: $tType,X2: $tType,X3: $tType] : ( ( set(X0) * fun(X0,set(X1)) * fun(X1,X2) * fun(X3,set(X2)) * X3 ) > X0 ) ).

tff(func_def_3414,type,
    sK3406: 
      !>[X0: $tType,X1: $tType,X2: $tType,X3: $tType] : ( ( set(X0) * fun(X0,set(X1)) * fun(X1,X2) * fun(X3,set(X2)) * set(X3) * X0 ) > X1 ) ).

tff(func_def_3415,type,
    sK3407: 
      !>[X0: $tType] : ( set(X0) > set(set(X0)) ) ).

tff(func_def_3416,type,
    sK3408: 
      !>[X0: $tType] : ( set(set(X0)) > set(X0) ) ).

tff(func_def_3417,type,
    sK3409: 
      !>[X0: $tType] : ( ( set(X0) * set(set(X0)) ) > set(set(X0)) ) ).

tff(func_def_3418,type,
    sK3410: 
      !>[X0: $tType] : ( set(X0) > set(set(X0)) ) ).

tff(func_def_3419,type,
    sK3411: 
      !>[X0: $tType] : ( set(set(X0)) > set(X0) ) ).

tff(func_def_3420,type,
    sK3412: 
      !>[X0: $tType] : ( ( set(X0) * set(set(X0)) ) > set(set(X0)) ) ).

tff(func_def_3421,type,
    sK3413: 
      !>[X0: $tType] : ( ( X0 * fun(X0,$o) ) > X0 ) ).

tff(func_def_3422,type,
    sK3414: 
      !>[X0: $tType] : ( ( X0 * fun(X0,$o) * X0 ) > X0 ) ).

tff(func_def_3423,type,
    sK3415: 
      !>[X0: $tType] : ( ( fun(X0,$o) * X0 ) > X0 ) ).

tff(func_def_3424,type,
    sK3416: 
      !>[X0: $tType] : ( ( fun(X0,$o) * X0 * X0 ) > X0 ) ).

tff(func_def_3425,type,
    sK3417: 
      !>[X0: $tType] : ( ( X0 * X0 ) > X0 ) ).

tff(func_def_3426,type,
    sK3418: 
      !>[X0: $tType] : ( ( X0 * X0 ) > X0 ) ).

tff(func_def_3427,type,
    sK3419: 
      !>[X0: $tType] : ( ( X0 * X0 * fun(X0,$o) ) > X0 ) ).

tff(func_def_3428,type,
    sK3420: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,$o) * fun(X1,X0) ) > X1 ) ).

tff(func_def_3429,type,
    sK3421: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,$o) * fun(X1,X0) ) > X1 ) ).

tff(func_def_3430,type,
    sK3422: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * fun(X0,$o) * fun(X0,X1) ) > X0 ) ).

tff(func_def_3431,type,
    sK3423: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,$o) * fun(X0,$o) * fun(X0,X1) ) > X0 ) ).

tff(func_def_3432,type,
    sK3424: 
      !>[X0: $tType] : ( ( fun(X0,$o) * X0 ) > X0 ) ).

tff(func_def_3433,type,
    sK3426: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_3434,type,
    sK3427: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_3435,type,
    sK3428: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_3436,type,
    sK3429: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_3437,type,
    sK3430: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_3438,type,
    sK3431: 
      !>[X0: $tType] : ( ( X0 * X0 * fun(X0,$o) ) > fun(nat,X0) ) ).

tff(func_def_3439,type,
    sK3432: ( vEBT_VEBT * nat * $o ) > option(product_prod(nat,nat)) ).

tff(func_def_3440,type,
    sK3433: ( vEBT_VEBT * nat * $o ) > nat ).

tff(func_def_3441,type,
    sK3434: ( vEBT_VEBT * nat * $o ) > list(vEBT_VEBT) ).

tff(func_def_3442,type,
    sK3435: ( vEBT_VEBT * nat * $o ) > vEBT_VEBT ).

tff(func_def_3443,type,
    sK3441: ( nat * list(vEBT_VEBT) ) > vEBT_VEBT ).

tff(func_def_3444,type,
    sK3442: list(vEBT_VEBT) > vEBT_VEBT ).

tff(func_def_3445,type,
    sK3443: vEBT_VEBT > nat ).

tff(func_def_3446,type,
    sK3445: list(vEBT_VEBT) > nat ).

tff(func_def_3447,type,
    sK3446: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,$o) * fun(X0,fun(X1,$o)) ) > X1 ) ).

tff(func_def_3448,type,
    sK3447: 
      !>[X0: $tType] : ( fun(X0,$o) > X0 ) ).

tff(func_def_3449,type,
    sK3448: 
      !>[X0: $tType] : ( fun(X0,$o) > X0 ) ).

tff(func_def_3450,type,
    sK3449: 
      !>[X0: $tType] : ( ( set(X0) * fun(X0,$o) ) > X0 ) ).

tff(func_def_3451,type,
    sK3450: 
      !>[X0: $tType,X1: $tType] : ( fun(X1,X0) > X1 ) ).

tff(func_def_3452,type,
    sK3451: 
      !>[X0: $tType,X1: $tType] : ( fun(X1,X0) > X1 ) ).

tff(func_def_3453,type,
    sK3452: 
      !>[X0: $tType,X1: $tType] : ( fun(X1,X0) > X1 ) ).

tff(func_def_3454,type,
    sK3453: 
      !>[X0: $tType,X1: $tType] : ( fun(X1,X0) > X1 ) ).

tff(func_def_3455,type,
    sK3454: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X1,fun(X0,$o)) * filter(X1) ) > X0 ) ).

tff(func_def_3456,type,
    sK3455: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X1,fun(X0,$o)) * filter(X1) ) > X0 ) ).

tff(func_def_3457,type,
    sK3456: 
      !>[X0: $tType] : ( fun(nat,X0) > nat ) ).

tff(func_def_3458,type,
    sK3457: 
      !>[X0: $tType] : ( fun(nat,X0) > nat ) ).

tff(func_def_3459,type,
    sK3458: 
      !>[X0: $tType] : ( fun(nat,X0) > nat ) ).

tff(func_def_3460,type,
    sK3459: 
      !>[X0: $tType] : ( fun(nat,X0) > nat ) ).

tff(func_def_3461,type,
    sK3460: ( fun(nat,real) * real ) > nat ).

tff(func_def_3462,type,
    sK3461: ( fun(nat,real) * real ) > nat ).

tff(func_def_3463,type,
    sK3462: fun(nat,real) > real ).

tff(func_def_3464,type,
    sK3463: ( nat * list(vEBT_VEBT) ) > vEBT_VEBT ).

tff(func_def_3465,type,
    sK3464: list(vEBT_VEBT) > vEBT_VEBT ).

tff(func_def_3466,type,
    sK3465: vEBT_VEBT > nat ).

tff(func_def_3467,type,
    sK3467: list(vEBT_VEBT) > nat ).

tff(func_def_3468,type,
    sK3468: 
      !>[X0: $tType,X1: $tType] : ( ( X1 * X1 * fun(X1,X0) * X0 ) > fun(nat,X1) ) ).

tff(func_def_3469,type,
    sK3469: ( vEBT_VEBT * nat ) > option(product_prod(nat,nat)) ).

tff(func_def_3470,type,
    sK3470: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_3471,type,
    sK3471: ( vEBT_VEBT * nat ) > list(vEBT_VEBT) ).

tff(func_def_3472,type,
    sK3472: ( vEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_3473,type,
    sK3475: ( vEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_3474,type,
    sK3478: list(vEBT_VEBT) > vEBT_VEBT ).

tff(func_def_3475,type,
    sK3479: vEBT_VEBT > nat ).

tff(func_def_3476,type,
    sK3480: list(vEBT_VEBT) > nat ).

tff(func_def_3477,type,
    sK3481: ( vEBT_VEBT * nat ) > option(product_prod(nat,nat)) ).

tff(func_def_3478,type,
    sK3482: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_3479,type,
    sK3483: ( vEBT_VEBT * nat ) > list(vEBT_VEBT) ).

tff(func_def_3480,type,
    sK3484: ( vEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_3481,type,
    sK3490: list(vEBT_VEBT) > vEBT_VEBT ).

tff(func_def_3482,type,
    sK3491: vEBT_VEBT > nat ).

tff(func_def_3483,type,
    sK3492: list(vEBT_VEBT) > nat ).

tff(func_def_3484,type,
    sK3495: ( vEBT_VEBT * nat * $o ) > option(product_prod(nat,nat)) ).

tff(func_def_3485,type,
    sK3496: ( vEBT_VEBT * nat * $o ) > nat ).

tff(func_def_3486,type,
    sK3497: ( vEBT_VEBT * nat * $o ) > list(vEBT_VEBT) ).

tff(func_def_3487,type,
    sK3498: ( vEBT_VEBT * nat * $o ) > vEBT_VEBT ).

tff(func_def_3488,type,
    sK3506: ( nat * list(vEBT_VEBT) ) > vEBT_VEBT ).

tff(func_def_3489,type,
    sK3507: list(vEBT_VEBT) > vEBT_VEBT ).

tff(func_def_3490,type,
    sK3508: vEBT_VEBT > nat ).

tff(func_def_3491,type,
    sK3510: list(vEBT_VEBT) > nat ).

tff(func_def_3492,type,
    sK3513: ( vEBT_VEBT * nat ) > option(product_prod(nat,nat)) ).

tff(func_def_3493,type,
    sK3514: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_3494,type,
    sK3515: ( vEBT_VEBT * nat ) > list(vEBT_VEBT) ).

tff(func_def_3495,type,
    sK3516: ( vEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_3496,type,
    sK3522: list(vEBT_VEBT) > vEBT_VEBT ).

tff(func_def_3497,type,
    sK3523: vEBT_VEBT > nat ).

tff(func_def_3498,type,
    sK3524: list(vEBT_VEBT) > nat ).

tff(func_def_3499,type,
    sK3527: ( vEBT_VEBT * nat ) > option(product_prod(nat,nat)) ).

tff(func_def_3500,type,
    sK3528: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_3501,type,
    sK3529: ( vEBT_VEBT * nat ) > list(vEBT_VEBT) ).

tff(func_def_3502,type,
    sK3530: ( vEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_3503,type,
    sK3536: ( nat * list(vEBT_VEBT) ) > vEBT_VEBT ).

tff(func_def_3504,type,
    sK3537: list(vEBT_VEBT) > vEBT_VEBT ).

tff(func_def_3505,type,
    sK3538: vEBT_VEBT > nat ).

tff(func_def_3506,type,
    sK3539: list(vEBT_VEBT) > nat ).

tff(func_def_3507,type,
    sK3540: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * X0 * X1 * set(X1) ) > fun(nat,X1) ) ).

tff(func_def_3508,type,
    sK3541: 
      !>[X0: $tType] : ( ( X0 * set(X0) * fun(nat,X0) ) > nat ) ).

tff(func_def_3509,type,
    sK3542: 
      !>[X0: $tType,X1: $tType] : ( fun(X1,X0) > X1 ) ).

tff(func_def_3510,type,
    sK3543: 
      !>[X0: $tType,X1: $tType] : ( fun(X1,X0) > X1 ) ).

tff(func_def_3511,type,
    sK3544: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_3512,type,
    sK3545: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_3513,type,
    sK3546: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_3514,type,
    sK3547: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_3515,type,
    sK3548: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( set(X2) * fun(X2,X0) * fun(X0,X1) ) > X2 ) ).

tff(func_def_3516,type,
    sK3549: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( set(X2) * fun(X2,X0) * fun(X0,X1) ) > X2 ) ).

tff(func_def_3517,type,
    sK3550: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( set(X2) * fun(X2,X0) * fun(X0,X1) ) > X2 ) ).

tff(func_def_3518,type,
    sK3551: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( set(X2) * fun(X2,X0) * fun(X0,X1) ) > X2 ) ).

tff(func_def_3519,type,
    sK3552: 
      !>[X0: $tType] : ( fun(X0,X0) > X0 ) ).

tff(func_def_3520,type,
    sK3553: 
      !>[X0: $tType] : ( fun(X0,X0) > X0 ) ).

tff(func_def_3521,type,
    sK3554: 
      !>[X0: $tType] : ( fun(X0,X0) > X0 ) ).

tff(func_def_3522,type,
    sK3555: 
      !>[X0: $tType] : ( fun(X0,X0) > X0 ) ).

tff(func_def_3523,type,
    sK3556: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( set(X2) * fun(X0,X1) * fun(X2,X0) ) > X2 ) ).

tff(func_def_3524,type,
    sK3557: 
      !>[X0: $tType] : X0 ).

tff(func_def_3525,type,
    sK3558: 
      !>[X0: $tType] : X0 ).

tff(func_def_3526,type,
    sK3559: 
      !>[X0: $tType] : X0 ).

tff(func_def_3527,type,
    sK3560: 
      !>[X0: $tType] : X0 ).

tff(func_def_3528,type,
    sK3561: 
      !>[X0: $tType] : ( ( X0 * X0 * fun(X0,$o) ) > fun(nat,X0) ) ).

tff(func_def_3529,type,
    sK3562: 
      !>[X0: $tType,X1: $tType] : ( fun(X1,fun(X0,X0)) > X1 ) ).

tff(func_def_3530,type,
    sK3563: 
      !>[X0: $tType,X1: $tType] : ( fun(X1,fun(X0,X0)) > X1 ) ).

tff(func_def_3531,type,
    sK3564: 
      !>[X0: $tType,X1: $tType] : ( fun(X1,fun(X0,X0)) > X1 ) ).

tff(func_def_3532,type,
    sK3565: 
      !>[X0: $tType,X1: $tType] : ( fun(X1,fun(X0,X0)) > X1 ) ).

tff(func_def_3533,type,
    sK3566: 
      !>[X0: $tType] : ( fun(nat,X0) > nat ) ).

tff(func_def_3534,type,
    sK3567: 
      !>[X0: $tType] : ( fun(nat,X0) > nat ) ).

tff(func_def_3535,type,
    sK3568: 
      !>[X0: $tType] : ( fun(nat,X0) > nat ) ).

tff(func_def_3536,type,
    sK3569: 
      !>[X0: $tType] : ( fun(nat,X0) > nat ) ).

tff(func_def_3537,type,
    sK3570: 
      !>[X0: $tType,X1: $tType] : ( fun(X1,X0) > X1 ) ).

tff(func_def_3538,type,
    sK3571: 
      !>[X0: $tType,X1: $tType] : ( fun(X1,X0) > X1 ) ).

tff(func_def_3539,type,
    sK3572: 
      !>[X0: $tType,X1: $tType] : ( fun(X1,X0) > X1 ) ).

tff(func_def_3540,type,
    sK3573: 
      !>[X0: $tType,X1: $tType] : ( fun(X1,X0) > X1 ) ).

tff(func_def_3541,type,
    sK3574: ( fun(nat,real) * real ) > nat ).

tff(func_def_3542,type,
    sK3575: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_3543,type,
    sK3576: 
      !>[X0: $tType] : ( set(set(X0)) > set(X0) ) ).

tff(func_def_3544,type,
    sK3577: 
      !>[X0: $tType,X1: $tType] : ( ( set(set(X1)) * fun(X1,X0) ) > set(X1) ) ).

tff(func_def_3545,type,
    sK3578: 
      !>[X0: $tType,X1: $tType] : ( ( set(set(X1)) * fun(X1,X0) ) > set(X1) ) ).

tff(func_def_3546,type,
    sK3579: 
      !>[X0: $tType,X1: $tType] : ( ( set(set(X1)) * fun(X1,X0) ) > X1 ) ).

tff(func_def_3547,type,
    sK3580: ( fun(nat,real) * real ) > nat ).

tff(func_def_3548,type,
    sK3581: fun(nat,real) > real ).

tff(func_def_3549,type,
    sK3582: 
      !>[X0: $tType] : ( set(set(X0)) > set(X0) ) ).

tff(func_def_3550,type,
    sK3583: 
      !>[X0: $tType] : ( set(set(X0)) > set(X0) ) ).

tff(func_def_3551,type,
    sK3584: 
      !>[X0: $tType] : ( set(set(X0)) > set(X0) ) ).

tff(func_def_3552,type,
    sK3585: 
      !>[X0: $tType] : ( set(set(X0)) > set(X0) ) ).

tff(func_def_3553,type,
    sK3586: 
      !>[X0: $tType,X1: $tType] : ( ( set(set(X1)) * fun(X1,X0) ) > set(X1) ) ).

tff(func_def_3554,type,
    sK3587: 
      !>[X0: $tType,X1: $tType] : ( ( set(set(X1)) * fun(X1,X0) ) > set(X1) ) ).

tff(func_def_3555,type,
    sK3588: 
      !>[X0: $tType,X1: $tType] : ( ( set(set(X1)) * fun(X1,X0) ) > X1 ) ).

tff(func_def_3556,type,
    sK3589: 
      !>[X0: $tType] : ( set(set(X0)) > set(X0) ) ).

tff(func_def_3557,type,
    sK3590: 
      !>[X0: $tType] : ( set(set(X0)) > set(X0) ) ).

tff(func_def_3558,type,
    sK3591: 
      !>[X0: $tType] : ( set(set(X0)) > set(X0) ) ).

tff(func_def_3559,type,
    sK3592: 
      !>[X0: $tType] : ( fun(nat,X0) > nat ) ).

tff(func_def_3560,type,
    sK3593: 
      !>[X0: $tType] : ( fun(nat,X0) > nat ) ).

tff(func_def_3561,type,
    sK3594: 
      !>[X0: $tType,X1: $tType] : ( ( X1 * X1 * fun(X1,X0) * X0 ) > fun(nat,X1) ) ).

tff(func_def_3562,type,
    sK3595: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) ) > fun(nat,nat) ) ).

tff(func_def_3563,type,
    sK3596: 
      !>[X0: $tType] : ( ( list(X0) * fun(nat,nat) ) > nat ) ).

tff(func_def_3564,type,
    sK3597: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) * fun(nat,nat) ) > nat ) ).

tff(func_def_3565,type,
    sK3598: 
      !>[X0: $tType,X1: $tType] : ( ( X0 * fun(fun(X1,X0),$o) ) > X1 ) ).

tff(func_def_3566,type,
    sK3599: 
      !>[X0: $tType,X1: $tType] : ( ( X0 * fun(fun(X1,X0),$o) ) > X0 ) ).

tff(func_def_3567,type,
    sK3600: 
      !>[X0: $tType,X1: $tType] : ( ( X0 * fun(fun(X1,X0),$o) ) > fun(X1,X0) ) ).

tff(func_def_3568,type,
    sK3601: fun(nat,real) > nat ).

tff(func_def_3569,type,
    sK3602: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,fun(X0,X0)) ) > X1 ) ).

tff(func_def_3570,type,
    sK3603: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,fun(X0,X0)) ) > X1 ) ).

tff(func_def_3571,type,
    sK3604: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,fun(X0,X0)) ) > X1 ) ).

tff(func_def_3572,type,
    sK3605: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,fun(X0,X0)) ) > X1 ) ).

tff(func_def_3573,type,
    sK3606: set(nat) > fun(nat,nat) ).

tff(func_def_3574,type,
    sK3607: 
      !>[X0: $tType,X1: $tType] : ( fun(X1,X0) > X1 ) ).

tff(func_def_3575,type,
    sK3608: 
      !>[X0: $tType,X1: $tType] : ( fun(X1,X0) > X1 ) ).

tff(func_def_3576,type,
    sK3609: 
      !>[X0: $tType,X1: $tType] : ( fun(X1,X0) > X1 ) ).

tff(func_def_3577,type,
    sK3610: 
      !>[X0: $tType,X1: $tType] : ( fun(X1,X0) > X1 ) ).

tff(func_def_3578,type,
    sK3611: 
      !>[X0: $tType] : ( fun(nat,X0) > nat ) ).

tff(func_def_3579,type,
    sK3612: 
      !>[X0: $tType] : ( ( X0 * X0 * nat * set(product_prod(X0,X0)) ) > X0 ) ).

tff(func_def_3580,type,
    sK3613: 
      !>[X0: $tType] : ( ( X0 * X0 * nat * set(product_prod(X0,X0)) ) > nat ) ).

tff(func_def_3581,type,
    sK3614: 
      !>[X0: $tType] : ( ( X0 * X0 * nat * set(product_prod(X0,X0)) ) > X0 ) ).

tff(func_def_3582,type,
    sK3615: 
      !>[X0: $tType] : ( ( X0 * X0 * nat * set(product_prod(X0,X0)) ) > nat ) ).

tff(func_def_3583,type,
    sK3616: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,fun(X0,X0)) * fun(X1,fun(X0,X0)) * set(X1) ) > X1 ) ).

tff(func_def_3584,type,
    sK3617: 
      !>[X0: $tType] : ( ( X0 * X0 * nat * set(product_prod(X0,X0)) ) > fun(nat,X0) ) ).

tff(func_def_3585,type,
    sK3618: 
      !>[X0: $tType] : ( ( nat * set(product_prod(X0,X0)) * fun(nat,X0) ) > nat ) ).

tff(func_def_3586,type,
    sK3619: 
      !>[X0: $tType] : ( ( fun(nat,nat) * fun(nat,X0) ) > nat ) ).

tff(func_def_3587,type,
    sK3620: 
      !>[X0: $tType] : ( ( fun(nat,nat) * fun(nat,X0) ) > nat ) ).

tff(func_def_3588,type,
    sK3621: 
      !>[X0: $tType] : ( ( fun(nat,nat) * fun(nat,X0) ) > nat ) ).

tff(func_def_3589,type,
    sK3622: 
      !>[X0: $tType] : ( fun(nat,X0) > nat ) ).

tff(func_def_3590,type,
    sK3623: 
      !>[X0: $tType] : ( fun(nat,X0) > nat ) ).

tff(func_def_3591,type,
    sK3624: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_3592,type,
    sK3625: 
      !>[X0: $tType] : ( ( product_prod(X0,X0) * set(product_prod(X0,X0)) ) > nat ) ).

tff(func_def_3593,type,
    sK3626: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,set(X1)) ) > X0 ) ).

tff(func_def_3594,type,
    sK3627: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * set(X0) * fun(X0,set(X1)) ) > set(X0) ) ).

tff(func_def_3595,type,
    sK3628: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,set(X0)) ) > X1 ) ).

tff(func_def_3596,type,
    sK3629: 
      !>[X0: $tType] : ( set(X0) > set(set(X0)) ) ).

tff(func_def_3597,type,
    sK3630: 
      !>[X0: $tType] : ( set(set(X0)) > set(X0) ) ).

tff(func_def_3598,type,
    sK3631: 
      !>[X0: $tType] : ( ( set(X0) * set(set(X0)) ) > set(set(X0)) ) ).

tff(func_def_3599,type,
    sK3632: 
      !>[X0: $tType] : ( set(set(X0)) > set(X0) ) ).

tff(func_def_3600,type,
    sK3633: 
      !>[X0: $tType] : ( ( set(X0) * set(set(X0)) ) > set(set(X0)) ) ).

tff(func_def_3601,type,
    sK3634: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X1,X0) * set(X1) ) > set(X1) ) ).

tff(func_def_3602,type,
    sK3635: 
      !>[X0: $tType,X1: $tType] : ( fun(X1,X0) > X1 ) ).

tff(func_def_3603,type,
    sK3636: 
      !>[X0: $tType,X1: $tType] : ( fun(X1,X0) > X1 ) ).

tff(func_def_3604,type,
    sK3637: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_3605,type,
    sK3638: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_3606,type,
    sK3639: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_3607,type,
    sK3640: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_3608,type,
    sK3641: 
      !>[X0: $tType,X1: $tType] : ( ( set(set(X1)) * fun(X1,X0) ) > set(X1) ) ).

tff(func_def_3609,type,
    sK3642: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * set(X0) ) > fun(X1,X0) ) ).

tff(func_def_3610,type,
    sK3643: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * set(X0) ) > fun(X0,X1) ) ).

tff(func_def_3611,type,
    sK3644: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,set(X0)) ) > X1 ) ).

tff(func_def_3612,type,
    sK3645: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,set(X0)) ) > X1 ) ).

tff(func_def_3613,type,
    sK3646: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( set(X2) * fun(X2,set(X1)) * fun(X1,X0) ) > X2 ) ).

tff(func_def_3614,type,
    sK3647: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( set(X2) * fun(X1,X0) * fun(X2,set(X1)) ) > X2 ) ).

tff(func_def_3615,type,
    sK3648: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * set(X0) * fun(X1,X0) ) > X0 ) ).

tff(func_def_3616,type,
    sK3649: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,X0) * X0 ) > X1 ) ).

tff(func_def_3617,type,
    sK3650: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * set(X1) * fun(X1,set(X0)) ) > X1 ) ).

tff(func_def_3618,type,
    sK3651: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * set(X1) ) > fun(X0,X1) ) ).

tff(func_def_3619,type,
    sK3652: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * set(X0) ) > fun(X1,X0) ) ).

tff(func_def_3620,type,
    sK3653: 
      !>[X0: $tType] : ( ( fun(X0,X0) * X0 ) > nat ) ).

tff(func_def_3621,type,
    sK3654: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * set(X1) * fun(set(X0),$o) ) > set(X0) ) ).

tff(func_def_3622,type,
    sK3655: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * set(X1) * fun(set(X0),$o) ) > set(X1) ) ).

tff(func_def_3623,type,
    sK3656: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * set(X1) * fun(set(X0),$o) ) > set(X0) ) ).

tff(func_def_3624,type,
    sK3657: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * set(X1) * fun(set(X0),$o) ) > set(X1) ) ).

tff(func_def_3625,type,
    sK3658: ( set(nat) * nat ) > nat ).

tff(func_def_3626,type,
    sK3659: 
      !>[X0: $tType] : ( set(X0) > nat ) ).

tff(func_def_3627,type,
    sK3660: 
      !>[X0: $tType] : ( set(X0) > fun(nat,X0) ) ).

tff(func_def_3628,type,
    sK3661: 
      !>[X0: $tType] : ( set(X0) > fun(X0,nat) ) ).

tff(func_def_3629,type,
    sK3662: 
      !>[X0: $tType] : ( set(X0) > nat ) ).

tff(func_def_3630,type,
    sK3663: 
      !>[X0: $tType] : ( fun(X0,fun(X0,$o)) > X0 ) ).

tff(func_def_3631,type,
    sK3664: 
      !>[X0: $tType] : ( ( list(X0) * set(nat) ) > nat ) ).

tff(func_def_3632,type,
    sK3665: 
      !>[X0: $tType] : ( set(X0) > fun(nat,X0) ) ).

tff(func_def_3633,type,
    sK3666: 
      !>[X0: $tType] : ( set(X0) > fun(nat,X0) ) ).

tff(func_def_3634,type,
    sK3667: fun(nat,real) > nat ).

tff(func_def_3635,type,
    sK3668: 
      !>[X0: $tType] : ( ( nat * fun(X0,X0) * X0 ) > nat ) ).

tff(func_def_3636,type,
    sK3669: fun(nat,real) > nat ).

tff(func_def_3637,type,
    sK3670: fun(nat,real) > nat ).

tff(func_def_3638,type,
    sK3671: ( fun(nat,real) * fun(nat,nat) ) > nat ).

tff(func_def_3639,type,
    sK3672: 
      !>[X0: $tType] : ( ( set(X0) * fun(X0,$o) ) > X0 ) ).

tff(func_def_3640,type,
    sK3673: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) * set(product_prod(X0,X0)) ) > nat ) ).

tff(func_def_3641,type,
    sK3674: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_3642,type,
    sK3675: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_3643,type,
    sK3676: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_3644,type,
    sK3677: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_3645,type,
    sK3678: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_3646,type,
    sK3679: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_3647,type,
    sK3680: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_3648,type,
    sK3681: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_3649,type,
    sK3682: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_3650,type,
    sK3683: 
      !>[X0: $tType] : ( fun(X0,X0) > X0 ) ).

tff(func_def_3651,type,
    sK3684: 
      !>[X0: $tType] : ( fun(X0,X0) > X0 ) ).

tff(func_def_3652,type,
    sK3685: 
      !>[X0: $tType] : X0 ).

tff(func_def_3653,type,
    sK3686: 
      !>[X0: $tType] : X0 ).

tff(func_def_3654,type,
    sK3687: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * X1 * X1 ) > X1 ) ).

tff(func_def_3655,type,
    sK3688: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_3656,type,
    sK3689: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * X0 * X1 * X0 ) > X0 ) ).

tff(func_def_3657,type,
    sK3690: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * X0 * X1 * X0 ) > X0 ) ).

tff(func_def_3658,type,
    sK3691: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_3659,type,
    sK3692: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_3660,type,
    sK3693: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * set(X1) ) > X1 ) ).

tff(func_def_3661,type,
    sK3694: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * set(X1) ) > X1 ) ).

tff(func_def_3662,type,
    sK3695: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_3663,type,
    sK3696: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_3664,type,
    sK3697: 
      !>[X0: $tType] : ( ( set(X0) * fun(X0,X0) ) > X0 ) ).

tff(func_def_3665,type,
    sK3698: 
      !>[X0: $tType] : ( ( set(X0) * fun(X0,X0) ) > X0 ) ).

tff(func_def_3666,type,
    sK3699: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_3667,type,
    sK3700: ( set(real) * fun(real,real) ) > real ).

tff(func_def_3668,type,
    sK3701: ( real * real * fun(real,real) ) > real ).

tff(func_def_3669,type,
    sK3702: ( real * real * fun(real,real) ) > real ).

tff(func_def_3670,type,
    sK3703: 
      !>[X0: $tType] : ( ( set(X0) * fun(X0,real) * fun(X0,real) ) > X0 ) ).

tff(func_def_3671,type,
    sK3704: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,set(X1)) ) > X0 ) ).

tff(func_def_3672,type,
    sK3705: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( set(X0) * fun(X0,set(X2)) * fun(X2,X1) ) > X0 ) ).

tff(func_def_3673,type,
    sK3706: 
      !>[X0: $tType] : ( ( set(X0) * fun(X0,real) ) > X0 ) ).

tff(func_def_3674,type,
    sK3707: 
      !>[X0: $tType] : ( ( set(X0) * fun(X0,real) ) > X0 ) ).

tff(func_def_3675,type,
    sK3708: 
      !>[X0: $tType] : ( ( X0 * X0 * fun(X0,X0) ) > X0 ) ).

tff(func_def_3676,type,
    sK3709: ( real * real * fun(real,real) ) > real ).

tff(func_def_3677,type,
    sK3710: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,X1) ) > X0 ) ).

tff(func_def_3678,type,
    sK3711: 
      !>[X0: $tType] : ( ( set(X0) * fun(set(X0),$o) ) > set(X0) ) ).

tff(func_def_3679,type,
    sK3712: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * X0 * X0 ) > X0 ) ).

tff(func_def_3680,type,
    sK3713: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * X0 * X1 * X0 ) > X0 ) ).

tff(func_def_3681,type,
    sK3714: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * X0 * X0 ) > X0 ) ).

tff(func_def_3682,type,
    sK3715: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * X0 * X1 * X0 ) > X0 ) ).

tff(func_def_3683,type,
    sK3716: ( real * real * fun(real,real) ) > real ).

tff(func_def_3684,type,
    sK3717: ( real * real * fun(real,real) ) > real ).

tff(func_def_3685,type,
    sK3718: ( real * real * fun(real,real) ) > real ).

tff(func_def_3686,type,
    sK3719: ( real * real * fun(real,real) * real ) > real ).

tff(func_def_3687,type,
    sK3720: 
      !>[X0: $tType] : ( ( real * real * fun(real,X0) ) > real ) ).

tff(func_def_3688,type,
    sK3721: 
      !>[X0: $tType] : ( ( real * real * fun(real,X0) ) > X0 ) ).

tff(func_def_3689,type,
    sK3722: 
      !>[X0: $tType] : ( ( real * real * fun(real,X0) ) > real ) ).

tff(func_def_3690,type,
    sK3723: 
      !>[X0: $tType] : ( ( real * real * fun(real,X0) ) > real ) ).

tff(func_def_3691,type,
    sK3724: 
      !>[X0: $tType] : ( ( real * real * fun(real,X0) ) > X0 ) ).

tff(func_def_3692,type,
    sK3725: 
      !>[X0: $tType] : ( ( real * real * fun(real,X0) ) > real ) ).

tff(func_def_3693,type,
    sK3726: 
      !>[X0: $tType] : ( ( real * real * fun(real,X0) ) > real ) ).

tff(func_def_3694,type,
    sK3727: 
      !>[X0: $tType] : ( ( real * real * fun(real,X0) ) > X0 ) ).

tff(func_def_3695,type,
    sK3728: ( real * real * fun(real,real) * fun(real,real) ) > real ).

tff(func_def_3696,type,
    sK3729: ( real * real * fun(real,real) ) > real ).

tff(func_def_3697,type,
    sK3730: 
      !>[X0: $tType] : ( ( fun(set(X0),$o) * set(X0) ) > set(X0) ) ).

tff(func_def_3698,type,
    sK3731: 
      !>[X0: $tType] : ( ( fun(set(X0),$o) * set(X0) * set(X0) ) > set(X0) ) ).

tff(func_def_3699,type,
    sK3732: 
      !>[X0: $tType] : ( ( real * real * fun(real,X0) ) > real ) ).

tff(func_def_3700,type,
    sK3733: 
      !>[X0: $tType] : ( ( real * real * fun(real,X0) ) > X0 ) ).

tff(func_def_3701,type,
    sK3734: 
      !>[X0: $tType] : ( ( real * real * fun(real,X0) * X0 ) > real ) ).

tff(func_def_3702,type,
    sK3735: ( real * real * fun(real,real) ) > real ).

tff(func_def_3703,type,
    sK3736: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,set(X0)) * set(X0) * filter(X1) ) > set(X0) ) ).

tff(func_def_3704,type,
    sK3737: ( real * real * fun(real,real) * fun(real,real) ) > real ).

tff(func_def_3705,type,
    sK3738: ( real * real * fun(real,real) ) > real ).

tff(func_def_3706,type,
    sK3739: ( real * real * fun(real,real) ) > real ).

tff(func_def_3707,type,
    sK3740: ( real * real * fun(real,real) ) > real ).

tff(func_def_3708,type,
    sK3741: ( real * real * fun(real,real) * fun(real,real) ) > real ).

tff(func_def_3709,type,
    sK3742: ( real * real * fun(real,real) * fun(real,real) ) > real ).

tff(func_def_3710,type,
    sK3743: ( real * real * fun(real,real) * fun(real,real) * fun(real,real) * fun(real,real) ) > real ).

tff(func_def_3711,type,
    sK3747: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_3712,type,
    sK3748: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_3713,type,
    sK3749: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_3714,type,
    sK3750: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,set(X0)) ) > X1 ) ).

tff(func_def_3715,type,
    sK3751: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,set(X0)) ) > X1 ) ).

tff(func_def_3716,type,
    sK3752: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_3717,type,
    sK3753: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_3718,type,
    sK3754: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_3719,type,
    sK3755: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_3720,type,
    sK3756: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_3721,type,
    sK3757: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_3722,type,
    sK3758: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * X0 * fun(X1,X0) ) > X1 ) ).

tff(func_def_3723,type,
    sK3759: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * X0 * fun(X1,X0) ) > X1 ) ).

tff(func_def_3724,type,
    sK3760: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,X0) * X0 ) > X1 ) ).

tff(func_def_3725,type,
    sK3761: 
      !>[X0: $tType] : ( ( set(X0) * set(X0) ) > X0 ) ).

tff(func_def_3726,type,
    sK3762: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_3727,type,
    sK3763: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_3728,type,
    sK3764: 
      !>[X0: $tType] : ( ( set(X0) * set(X0) ) > X0 ) ).

tff(func_def_3729,type,
    sK3765: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_3730,type,
    sK3766: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_3731,type,
    sK3767: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( set(X2) * fun(X0,X1) * set(X0) * fun(X2,X1) ) > X2 ) ).

tff(func_def_3732,type,
    sK3768: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,X0) * X0 ) > X1 ) ).

tff(func_def_3733,type,
    sK3769: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( set(X0) * fun(X2,X1) * set(X2) * fun(X0,X1) ) > X0 ) ).

tff(func_def_3734,type,
    sK3770: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,X1) * X1 ) > X0 ) ).

tff(func_def_3735,type,
    sK3771: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,X1) * X1 ) > X0 ) ).

tff(func_def_3736,type,
    sK3772: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,X0) * X0 ) > X1 ) ).

tff(func_def_3737,type,
    sK3773: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_3738,type,
    sK3774: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,X0) * fun(X1,X0) ) > X1 ) ).

tff(func_def_3739,type,
    sK3775: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,set(X0)) ) > X1 ) ).

tff(func_def_3740,type,
    sK3776: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,set(X0)) ) > X1 ) ).

tff(func_def_3741,type,
    sK3777: ( real * real * fun(real,real) ) > real ).

tff(func_def_3742,type,
    sK3778: ( real * real * fun(real,real) ) > real ).

tff(func_def_3743,type,
    sK3779: ( real * real * fun(real,real) ) > real ).

tff(func_def_3744,type,
    sK3780: ( real * real * fun(real,real) ) > real ).

tff(func_def_3745,type,
    sK3781: ( real * real * fun(real,real) * fun(real,real) ) > real ).

tff(func_def_3746,type,
    sK3782: ( real * real * fun(real,real) * fun(real,real) ) > real ).

tff(func_def_3747,type,
    sK3783: ( real * real * fun(real,real) * fun(real,real) ) > real ).

tff(func_def_3748,type,
    sK3787: fun(num,$o) > num ).

tff(func_def_3749,type,
    sK3788: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( set(X0) * fun(X0,fun(X2,X1)) * filter(X2) ) > X0 ) ).

tff(func_def_3750,type,
    sK3789: real > real ).

tff(func_def_3751,type,
    sK3790: ( real * real ) > real ).

tff(func_def_3752,type,
    sK3791: real > real ).

tff(func_def_3753,type,
    sK3792: 
      !>[X0: $tType] : ( fun(X0,$o) > nat ) ).

tff(func_def_3754,type,
    sK3793: 
      !>[X0: $tType] : ( X0 > nat ) ).

tff(func_def_3755,type,
    sK3794: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * set(X1) ) > fun(X0,X1) ) ).

tff(func_def_3756,type,
    sK3795: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * set(X1) ) > fun(X0,X1) ) ).

tff(func_def_3757,type,
    sK3796: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X1,X0) * fun(X0,X1) ) > X0 ) ).

tff(func_def_3758,type,
    sK3797: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * fun(X0,X1) * set(X1) ) > X1 ) ).

tff(func_def_3759,type,
    sK3798: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,set(X0)) ) > X1 ) ).

tff(func_def_3760,type,
    sK3799: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,set(X0)) ) > X1 ) ).

tff(func_def_3761,type,
    sK3800: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( set(X2) * fun(X2,set(X0)) * fun(X0,X1) * fun(X2,set(X1)) ) > X2 ) ).

tff(func_def_3762,type,
    sK3801: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > fun(X0,X0) ) ).

tff(func_def_3763,type,
    sK3802: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > fun(X0,X0) ) ).

tff(func_def_3764,type,
    sK3803: 
      !>[X0: $tType] : ( set(X0) > fun(nat,X0) ) ).

tff(func_def_3765,type,
    sK3804: 
      !>[X0: $tType] : ( set(X0) > fun(nat,X0) ) ).

tff(func_def_3766,type,
    sK3805: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( set(X0) * fun(X0,X2) * fun(X2,X1) ) > X0 ) ).

tff(func_def_3767,type,
    sK3806: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_3768,type,
    sK3807: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( set(X0) * fun(X0,X2) * fun(X2,X1) ) > X0 ) ).

tff(func_def_3769,type,
    sK3808: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_3770,type,
    sK3809: 
      !>[X0: $tType] : ( set(X0) > fun(nat,X0) ) ).

tff(func_def_3771,type,
    sK3810: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * set(X1) ) > fun(X0,X1) ) ).

tff(func_def_3772,type,
    sK3811: 
      !>[X0: $tType] : ( set(X0) > fun(X0,nat) ) ).

tff(func_def_3773,type,
    sK3812: 
      !>[X0: $tType] : ( ( set(X0) * set(X0) * set(product_prod(X0,X0)) ) > X0 ) ).

tff(func_def_3774,type,
    sK3813: 
      !>[X0: $tType,X1: $tType] : ( ( list(X1) * list(X0) * set(product_prod(X1,X0)) ) > nat ) ).

tff(func_def_3775,type,
    sK3814: 
      !>[X0: $tType] : ( list(X0) > X0 ) ).

tff(func_def_3776,type,
    sK3815: 
      !>[X0: $tType] : ( list(X0) > X0 ) ).

tff(func_def_3777,type,
    sK3816: 
      !>[X0: $tType] : ( list(X0) > X0 ) ).

tff(func_def_3778,type,
    sK3817: 
      !>[X0: $tType] : ( list(X0) > X0 ) ).

tff(func_def_3779,type,
    sK3818: 
      !>[X0: $tType] : ( list(X0) > X0 ) ).

tff(func_def_3780,type,
    sK3819: 
      !>[X0: $tType] : ( set(X0) > fun(nat,set(X0)) ) ).

tff(func_def_3781,type,
    sK3820: 
      !>[X0: $tType] : ( ( set(X0) * nat ) > X0 ) ).

tff(func_def_3782,type,
    sK3821: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_3783,type,
    sK3822: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_3784,type,
    sK3823: 
      !>[X0: $tType] : ( ( set(X0) * set(X0) ) > X0 ) ).

tff(func_def_3785,type,
    sK3824: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_3786,type,
    sK3825: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_3787,type,
    sK3826: 
      !>[X0: $tType] : ( ( set(X0) * set(X0) ) > X0 ) ).

tff(func_def_3788,type,
    sK3827: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_3789,type,
    sK3828: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_3790,type,
    sK3829: 
      !>[X0: $tType] : ( set(X0) > set(X0) ) ).

tff(func_def_3791,type,
    sK3830: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * set(X1) * fun(set(X0),$o) ) > set(X0) ) ).

tff(func_def_3792,type,
    sK3831: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * set(X1) * fun(set(X0),$o) ) > set(X1) ) ).

tff(func_def_3793,type,
    sK3832: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * set(X1) * fun(set(X0),$o) ) > set(X0) ) ).

tff(func_def_3794,type,
    sK3833: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * set(X1) * fun(set(X0),$o) ) > set(X1) ) ).

tff(func_def_3795,type,
    sK3834: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X1,X0) * set(X1) ) > set(X1) ) ).

tff(func_def_3796,type,
    sK3835: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * set(X1) ) > set(X1) ) ).

tff(func_def_3797,type,
    sK3836: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * set(X1) * fun(set(X0),$o) ) > set(X0) ) ).

tff(func_def_3798,type,
    sK3837: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * set(X1) * fun(set(X0),$o) ) > set(X1) ) ).

tff(func_def_3799,type,
    sK3838: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * set(X1) * fun(set(X0),$o) ) > set(X0) ) ).

tff(func_def_3800,type,
    sK3839: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * set(X1) * fun(set(X0),$o) ) > set(X1) ) ).

tff(func_def_3801,type,
    sK3840: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * set(X1) ) > set(X1) ) ).

tff(func_def_3802,type,
    sK3841: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * set(product_prod(X1,X0)) ) > X1 ) ).

tff(func_def_3803,type,
    sK3842: 
      !>[X0: $tType] : ( set(X0) > fun(nat,X0) ) ).

tff(func_def_3804,type,
    sK3843: 
      !>[X0: $tType,X1: $tType] : ( ( list(X1) * fun(X1,X0) * fun(X1,X0) ) > X1 ) ).

tff(func_def_3805,type,
    sK3844: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,X1) * X1 ) > X0 ) ).

tff(func_def_3806,type,
    sK3845: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,X1) * X1 ) > X0 ) ).

tff(func_def_3807,type,
    sK3846: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( set(X0) * set(X2) * fun(X0,X1) * fun(X2,X1) ) > X0 ) ).

tff(func_def_3808,type,
    sK3847: 
      !>[X0: $tType] : ( set(X0) > fun(nat,X0) ) ).

tff(func_def_3809,type,
    sK3848: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * X0 * fun(X1,X0) ) > X1 ) ).

tff(func_def_3810,type,
    sK3849: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * X0 * fun(X1,X0) ) > X1 ) ).

tff(func_def_3811,type,
    sK3850: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * X0 * fun(X1,X0) ) > X1 ) ).

tff(func_def_3812,type,
    sK3851: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( set(X0) * set(X2) * fun(X0,X1) * fun(X2,X1) ) > X2 ) ).

tff(func_def_3813,type,
    sK3852: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,X1) * X1 ) > X0 ) ).

tff(func_def_3814,type,
    sK3853: 
      !>[X0: $tType] : ( set(X0) > fun(X0,nat) ) ).

tff(func_def_3815,type,
    sK3854: 
      !>[X0: $tType,X1: $tType] : ( ( list(X1) * fun(X1,X0) * fun(X1,X0) ) > X1 ) ).

tff(func_def_3816,type,
    sK3855: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,X0) * fun(X1,X0) ) > X1 ) ).

tff(func_def_3817,type,
    sK3856: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,X0) * fun(X1,X0) ) > X1 ) ).

tff(func_def_3818,type,
    sK3857: 
      !>[X0: $tType] : ( set(X0) > fun(nat,X0) ) ).

tff(func_def_3819,type,
    sK3858: 
      !>[X0: $tType] : ( set(X0) > fun(X0,nat) ) ).

tff(func_def_3820,type,
    sK3859: 
      !>[X0: $tType] : ( set(X0) > fun(X0,nat) ) ).

tff(func_def_3821,type,
    sK3860: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,fun(X0,X0)) ) > X1 ) ).

tff(func_def_3822,type,
    sK3861: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,fun(X0,X0)) ) > X1 ) ).

tff(func_def_3823,type,
    sK3862: 
      !>[X0: $tType] : ( fun(nat,X0) > nat ) ).

tff(func_def_3824,type,
    sK3863: 
      !>[X0: $tType] : ( fun(nat,X0) > nat ) ).

tff(func_def_3825,type,
    sK3864: 
      !>[X0: $tType] : ( ( X0 * list(X0) ) > X0 ) ).

tff(func_def_3826,type,
    sK3865: 
      !>[X0: $tType] : ( ( X0 * list(X0) ) > X0 ) ).

tff(func_def_3827,type,
    sK3866: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) ) > X0 ) ).

tff(func_def_3828,type,
    sK3867: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) ) > X0 ) ).

tff(func_def_3829,type,
    sK3868: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,$o)) * list(X0) ) > nat ) ).

tff(func_def_3830,type,
    sK3869: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,$o)) * list(X0) ) > nat ) ).

tff(func_def_3831,type,
    sK3870: 
      !>[X0: $tType] : ( list(X0) > nat ) ).

tff(func_def_3832,type,
    sK3871: 
      !>[X0: $tType] : ( list(X0) > nat ) ).

tff(func_def_3833,type,
    sK3872: 
      !>[X0: $tType] : ( set(X0) > list(X0) ) ).

tff(func_def_3834,type,
    sK3873: 
      !>[X0: $tType] : ( list(X0) > nat ) ).

tff(func_def_3835,type,
    sK3874: 
      !>[X0: $tType] : ( list(X0) > nat ) ).

tff(func_def_3836,type,
    sK3875: 
      !>[X0: $tType] : ( list(X0) > nat ) ).

tff(func_def_3837,type,
    sK3876: 
      !>[X0: $tType] : ( set(X0) > list(X0) ) ).

tff(func_def_3838,type,
    sK3877: 
      !>[X0: $tType] : ( ( list(X0) * nat * fun(nat,X0) ) > nat ) ).

tff(func_def_3839,type,
    sK3878: 
      !>[X0: $tType] : ( ( list(X0) * X0 ) > X0 ) ).

tff(func_def_3840,type,
    sK3879: 
      !>[X0: $tType] : ( ( list(list(X0)) * nat ) > nat ) ).

tff(func_def_3841,type,
    sK3880: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,fun(X0,$o)) * fun(X1,X0) * set(X1) ) > list(X1) ) ).

tff(func_def_3842,type,
    sK3881: 
      !>[X0: $tType] : ( list(X0) > nat ) ).

tff(func_def_3843,type,
    sK3882: 
      !>[X0: $tType] : ( list(X0) > nat ) ).

tff(func_def_3844,type,
    sK3883: 
      !>[X0: $tType] : ( list(X0) > nat ) ).

tff(func_def_3845,type,
    sK3884: 
      !>[X0: $tType,X1: $tType] : ( ( list(X1) * fun(X1,$o) * fun(X1,X0) ) > X1 ) ).

tff(func_def_3846,type,
    sK3885: 
      !>[X0: $tType] : ( ( nat * fun(X0,$o) * list(X0) ) > nat ) ).

tff(func_def_3847,type,
    sK3886: 
      !>[X0: $tType] : ( ( nat * list(X0) * fun(X0,$o) ) > nat ) ).

tff(func_def_3848,type,
    sK3887: 
      !>[X0: $tType] : ( set(X0) > filter(X0) ) ).

tff(func_def_3849,type,
    sK3888: 
      !>[X0: $tType] : ( ( set(X0) * filter(X0) ) > X0 ) ).

tff(func_def_3850,type,
    sK3889: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * set(X0) * set(X0) ) > X0 ) ).

tff(func_def_3851,type,
    sK3890: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * set(X0) * X0 ) > X0 ) ).

tff(func_def_3852,type,
    sK3891: 
      !>[X0: $tType,X1: $tType] : ( ( set(product_prod(X1,X1)) * fun(X1,X0) ) > X1 ) ).

tff(func_def_3853,type,
    sK3892: 
      !>[X0: $tType,X1: $tType] : ( ( set(product_prod(X1,X1)) * fun(X1,X0) ) > X1 ) ).

tff(func_def_3854,type,
    sK3893: 
      !>[X0: $tType] : ( set(product_prod(X0,X0)) > X0 ) ).

tff(func_def_3855,type,
    sK3894: 
      !>[X0: $tType,X1: $tType] : ( fun(X1,X0) > X1 ) ).

tff(func_def_3856,type,
    sK3895: 
      !>[X0: $tType,X1: $tType] : ( fun(X1,X0) > X1 ) ).

tff(func_def_3857,type,
    sK3896: 
      !>[X0: $tType] : ( set(product_prod(X0,X0)) > set(X0) ) ).

tff(func_def_3858,type,
    sK3897: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * set(X0) ) > X0 ) ).

tff(func_def_3859,type,
    sK3898: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * X0 ) > X0 ) ).

tff(func_def_3860,type,
    sK3899: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,fun(X1,X1)) * set(X0) * X1 * X1 * X0 ) > X1 ) ).

tff(func_def_3861,type,
    sK3900: 
      !>[X0: $tType] : ( ( fun(X0,$o) * fun(X0,nat) * fun(X0,X0) ) > X0 ) ).

tff(func_def_3862,type,
    sK3901: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * set(X0) ) > X0 ) ).

tff(func_def_3863,type,
    sK3902: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,fun(X1,X1)) * X1 ) > X1 ) ).

tff(func_def_3864,type,
    sK3903: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * set(X0) * fun(X1,fun(X0,X0)) * fun(X1,fun(X0,X0)) ) > X1 ) ).

tff(func_def_3865,type,
    sK3904: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * set(X0) * fun(X1,fun(X0,X0)) * fun(X1,fun(X0,X0)) ) > X0 ) ).

tff(func_def_3866,type,
    sK3905: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * set(X0) * fun(X1,fun(X0,X0)) ) > X1 ) ).

tff(func_def_3867,type,
    sK3906: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * set(X0) * fun(X1,fun(X0,X0)) ) > X0 ) ).

tff(func_def_3868,type,
    sK3907: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,fun(X1,X1)) * set(X0) * set(X1) * fun(X0,fun(X1,X1)) ) > X0 ) ).

tff(func_def_3869,type,
    sK3908: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,fun(X1,X1)) * set(X0) * set(X1) * fun(X0,fun(X1,X1)) ) > X1 ) ).

tff(func_def_3870,type,
    sK3909: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,fun(X1,X1)) * set(X0) * set(X1) ) > X0 ) ).

tff(func_def_3871,type,
    sK3910: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,fun(X1,X1)) * set(X0) * set(X1) ) > X1 ) ).

tff(func_def_3872,type,
    sK3912: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,fun(X1,X1)) * X1 * set(X0) * X1 ) > X0 ) ).

tff(func_def_3873,type,
    sK3913: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,fun(X1,X1)) * X1 * set(X0) * X1 ) > set(X0) ) ).

tff(func_def_3874,type,
    sK3914: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,fun(X1,X1)) * X1 * set(X0) * X1 ) > X1 ) ).

tff(func_def_3875,type,
    sK3915: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,fun(X1,X1)) * X1 * set(X0) * X1 ) > X0 ) ).

tff(func_def_3876,type,
    sK3916: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,fun(X1,X1)) * X1 * set(X0) * X1 ) > set(X0) ) ).

tff(func_def_3877,type,
    sK3917: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,fun(X1,X1)) * X1 * set(X0) * X1 ) > X1 ) ).

tff(func_def_3878,type,
    sK3918: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * fun(X0,nat) * fun(X0,nat) ) > X0 ) ).

tff(func_def_3879,type,
    sK3919: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * fun(X0,nat) * fun(X0,nat) ) > X0 ) ).

tff(func_def_3880,type,
    sK3920: 
      !>[X0: $tType] : ( set(product_prod(X0,X0)) > set(X0) ) ).

tff(func_def_3881,type,
    sK3921: 
      !>[X0: $tType] : ( set(product_prod(X0,X0)) > X0 ) ).

tff(func_def_3882,type,
    sK3922: 
      !>[X0: $tType] : ( set(product_prod(X0,X0)) > X0 ) ).

tff(func_def_3883,type,
    sK3923: 
      !>[X0: $tType,X1: $tType] : ( ( set(product_prod(X1,X1)) * fun(X0,$o) * fun(X0,X1) ) > X0 ) ).

tff(func_def_3884,type,
    sK3924: 
      !>[X0: $tType] : ( set(product_prod(X0,X0)) > set(X0) ) ).

tff(func_def_3885,type,
    sK3925: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * set(X0) ) > X0 ) ).

tff(func_def_3886,type,
    sK3926: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * X0 ) > X0 ) ).

tff(func_def_3887,type,
    sK3927: 
      !>[X0: $tType,X1: $tType] : ( ( set(product_prod(X1,X1)) * fun(X1,set(X0)) * fun(X1,set(X0)) ) > X1 ) ).

tff(func_def_3888,type,
    sK3928: 
      !>[X0: $tType,X1: $tType] : ( ( set(product_prod(X1,X1)) * fun(X1,set(X0)) * fun(X1,set(X0)) ) > X1 ) ).

tff(func_def_3889,type,
    sK3929: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,fun(X1,X1)) * X0 * set(X0) * X1 * X1 ) > X1 ) ).

tff(func_def_3890,type,
    sK3930: 
      !>[X0: $tType] : ( ( set(X0) * set(product_prod(X0,X0)) * X0 ) > X0 ) ).

tff(func_def_3891,type,
    sK3931: 
      !>[X0: $tType] : ( ( set(X0) * set(X0) * set(product_prod(X0,X0)) ) > X0 ) ).

tff(func_def_3892,type,
    sK3932: 
      !>[X0: $tType] : ( ( set(X0) * set(product_prod(X0,X0)) * X0 ) > X0 ) ).

tff(func_def_3893,type,
    sK3933: 
      !>[X0: $tType] : ( ( set(X0) * set(X0) * set(product_prod(X0,X0)) ) > X0 ) ).

tff(func_def_3894,type,
    sK3934: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X0,fun(X1,$o)) ) > X1 ) ).

tff(func_def_3895,type,
    sK3935: 
      !>[X0: $tType] : ( fun(X0,$o) > X0 ) ).

tff(func_def_3896,type,
    sK3936: 
      !>[X0: $tType] : ( fun(X0,$o) > X0 ) ).

tff(func_def_3897,type,
    sK3937: 
      !>[X0: $tType] : ( ( fun(X0,X0) * X0 ) > X0 ) ).

tff(func_def_3898,type,
    sK3938: 
      !>[X0: $tType] : ( ( fun(X0,X0) * fun(X0,X0) ) > X0 ) ).

tff(func_def_3899,type,
    sK3939: 
      !>[X0: $tType] : ( ( fun(X0,X0) * X0 ) > X0 ) ).

tff(func_def_3900,type,
    sK3940: 
      !>[X0: $tType] : ( fun(X0,fun(X0,X0)) > X0 ) ).

tff(func_def_3901,type,
    sK3941: 
      !>[X0: $tType] : ( fun(X0,fun(X0,X0)) > X0 ) ).

tff(func_def_3902,type,
    sK3942: 
      !>[X0: $tType] : ( fun(X0,fun(X0,X0)) > X0 ) ).

tff(func_def_3903,type,
    sK3943: 
      !>[X0: $tType] : ( fun(X0,fun(X0,X0)) > X0 ) ).

tff(func_def_3904,type,
    sK3944: 
      !>[X0: $tType] : ( ( set(X0) * fun(X0,$o) ) > X0 ) ).

tff(func_def_3905,type,
    sK3945: 
      !>[X0: $tType] : ( ( fun(X0,X0) * fun(X0,$o) ) > X0 ) ).

tff(func_def_3906,type,
    sK3946: 
      !>[X0: $tType] : ( fun(X0,$o) > set(X0) ) ).

tff(func_def_3907,type,
    sK3947: 
      !>[X0: $tType] : ( ( fun(X0,X0) * X0 ) > set(X0) ) ).

tff(func_def_3908,type,
    sK3948: 
      !>[X0: $tType] : ( ( fun(X0,X0) * X0 ) > X0 ) ).

tff(func_def_3909,type,
    sK3949: 
      !>[X0: $tType] : ( ( fun(X0,X0) * set(X0) ) > X0 ) ).

tff(func_def_3910,type,
    sK3950: 
      !>[X0: $tType] : ( ( fun(X0,X0) * X0 ) > X0 ) ).

tff(func_def_3911,type,
    sK3951: 
      !>[X0: $tType] : ( ( fun(X0,X0) * X0 ) > set(X0) ) ).

tff(func_def_3912,type,
    sK3952: 
      !>[X0: $tType] : ( ( set(X0) * fun(X0,X0) ) > X0 ) ).

tff(func_def_3913,type,
    sK3953: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,$o)) * set(X0) * X0 ) > X0 ) ).

tff(func_def_3914,type,
    sK3954: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,$o)) * set(X0) * set(X0) ) > X0 ) ).

tff(func_def_3915,type,
    sK3955: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,$o)) * set(X0) * X0 ) > X0 ) ).

tff(func_def_3916,type,
    sK3956: 
      !>[X0: $tType] : ( ( set(X0) * set(X0) * fun(X0,fun(X0,$o)) ) > X0 ) ).

tff(func_def_3917,type,
    sK3957: 
      !>[X0: $tType] : X0 ).

tff(func_def_3918,type,
    sK3958: 
      !>[X0: $tType] : X0 ).

tff(func_def_3919,type,
    sK3959: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) ) > X0 ) ).

tff(func_def_3920,type,
    sK3960: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) ) > X0 ) ).

tff(func_def_3921,type,
    sK3961: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) ) > X0 ) ).

tff(func_def_3922,type,
    sK3962: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) ) > list(X0) ) ).

tff(func_def_3923,type,
    sK3963: 
      !>[X0: $tType] : ( list(X0) > X0 ) ).

tff(func_def_3924,type,
    sK3964: 
      !>[X0: $tType] : ( list(X0) > list(X0) ) ).

tff(func_def_3925,type,
    sK3965: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) ) > list(X0) ) ).

tff(func_def_3926,type,
    sK3966: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) ) > X0 ) ).

tff(func_def_3927,type,
    sK3967: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) ) > list(X0) ) ).

tff(func_def_3928,type,
    sK3970: 
      !>[X0: $tType] : ( ( list(X0) * X0 ) > list(X0) ) ).

tff(func_def_3929,type,
    sK3971: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) ) > X0 ) ).

tff(func_def_3930,type,
    sK3972: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) ) > X0 ) ).

tff(func_def_3931,type,
    sK3973: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) ) > list(X0) ) ).

tff(func_def_3932,type,
    sK3974: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) ) > list(X0) ) ).

tff(func_def_3933,type,
    sK3975: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) ) > X0 ) ).

tff(func_def_3934,type,
    sK3976: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) ) > X0 ) ).

tff(func_def_3935,type,
    sK3977: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) ) > list(X0) ) ).

tff(func_def_3936,type,
    sK3978: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) ) > list(X0) ) ).

tff(func_def_3937,type,
    sK3979: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) ) > X0 ) ).

tff(func_def_3938,type,
    sK3980: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) ) > list(X0) ) ).

tff(func_def_3939,type,
    sK3982: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) ) > X0 ) ).

tff(func_def_3940,type,
    sK3983: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) ) > X0 ) ).

tff(func_def_3941,type,
    sK3984: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) ) > list(X0) ) ).

tff(func_def_3942,type,
    sK3985: 
      !>[X0: $tType] : ( list(X0) > X0 ) ).

tff(func_def_3943,type,
    sK3986: 
      !>[X0: $tType] : ( list(X0) > list(X0) ) ).

tff(func_def_3944,type,
    sK3987: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) ) > list(X0) ) ).

tff(func_def_3945,type,
    sK3988: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) ) > X0 ) ).

tff(func_def_3946,type,
    sK3989: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) ) > list(X0) ) ).

tff(func_def_3947,type,
    sK3990: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) ) > list(X0) ) ).

tff(func_def_3948,type,
    sK3991: 
      !>[X0: $tType] : ( fun(list(X0),fun(list(X0),$o)) > X0 ) ).

tff(func_def_3949,type,
    sK3992: 
      !>[X0: $tType] : ( fun(list(X0),fun(list(X0),$o)) > list(X0) ) ).

tff(func_def_3950,type,
    sK3993: 
      !>[X0: $tType] : ( fun(list(X0),fun(list(X0),$o)) > X0 ) ).

tff(func_def_3951,type,
    sK3994: 
      !>[X0: $tType] : ( fun(list(X0),fun(list(X0),$o)) > list(X0) ) ).

tff(func_def_3952,type,
    sK3995: 
      !>[X0: $tType] : ( fun(list(X0),fun(list(X0),$o)) > X0 ) ).

tff(func_def_3953,type,
    sK3996: 
      !>[X0: $tType] : ( fun(list(X0),fun(list(X0),$o)) > list(X0) ) ).

tff(func_def_3954,type,
    sK3997: 
      !>[X0: $tType] : ( fun(list(X0),fun(list(X0),$o)) > X0 ) ).

tff(func_def_3955,type,
    sK3998: 
      !>[X0: $tType] : ( fun(list(X0),fun(list(X0),$o)) > list(X0) ) ).

tff(func_def_3956,type,
    sK3999: 
      !>[X0: $tType] : ( fun(list(X0),fun(list(X0),$o)) > list(X0) ) ).

tff(func_def_3957,type,
    sK4000: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) ) > list(X0) ) ).

tff(func_def_3958,type,
    sK4001: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) ) > X0 ) ).

tff(func_def_3959,type,
    sK4002: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) ) > X0 ) ).

tff(func_def_3960,type,
    sK4003: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) ) > list(X0) ) ).

tff(func_def_3961,type,
    sK4004: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) ) > list(X0) ) ).

tff(func_def_3962,type,
    sK4005: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) ) > X0 ) ).

tff(func_def_3963,type,
    sK4006: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) ) > list(X0) ) ).

tff(func_def_3964,type,
    sK4007: 
      !>[X0: $tType] : ( set(X0) > set(X0) ) ).

tff(func_def_3965,type,
    sK4008: 
      !>[X0: $tType] : ( set(X0) > fun(X0,real) ) ).

tff(func_def_3966,type,
    sK4009: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_3967,type,
    sK4010: 
      !>[X0: $tType] : ( set(X0) > set(X0) ) ).

tff(func_def_3968,type,
    sK4011: 
      !>[X0: $tType] : ( set(X0) > fun(X0,real) ) ).

tff(func_def_3969,type,
    sK4012: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_3970,type,
    sK4013: 
      !>[X0: $tType] : ( set(set(X0)) > set(X0) ) ).

tff(func_def_3971,type,
    sK4014: 
      !>[X0: $tType] : ( set(set(X0)) > set(X0) ) ).

tff(func_def_3972,type,
    sK4015: 
      !>[X0: $tType] : ( set(set(X0)) > set(X0) ) ).

tff(func_def_3973,type,
    sK4016: 
      !>[X0: $tType] : ( ( set(X0) * fun(X0,real) ) > X0 ) ).

tff(func_def_3974,type,
    sK4017: 
      !>[X0: $tType] : ( ( set(X0) * fun(X0,real) ) > X0 ) ).

tff(func_def_3975,type,
    sK4018: 
      !>[X0: $tType] : ( set(X0) > fun(X0,real) ) ).

tff(func_def_3976,type,
    sK4019: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_3977,type,
    sK4020: 
      !>[X0: $tType] : ( set(X0) > fun(X0,real) ) ).

tff(func_def_3978,type,
    sK4021: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_3979,type,
    sK4022: 
      !>[X0: $tType] : ( set(X0) > fun(X0,real) ) ).

tff(func_def_3980,type,
    sK4023: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_3981,type,
    sK4024: 
      !>[X0: $tType] : ( set(X0) > fun(X0,real) ) ).

tff(func_def_3982,type,
    sK4025: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_3983,type,
    sK4026: 
      !>[X0: $tType] : ( set(X0) > set(X0) ) ).

tff(func_def_3984,type,
    sK4027: 
      !>[X0: $tType] : ( set(X0) > fun(X0,real) ) ).

tff(func_def_3985,type,
    sK4028: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_3986,type,
    sK4029: 
      !>[X0: $tType] : ( nat > nat ) ).

tff(func_def_3987,type,
    sK4030: 
      !>[X0: $tType] : nat ).

tff(func_def_3988,type,
    sK4031: 
      !>[X0: $tType] : ( nat > nat ) ).

tff(func_def_3989,type,
    sK4032: 
      !>[X0: $tType] : nat ).

tff(func_def_3990,type,
    sK4033: 
      !>[X0: $tType,X1: $tType] : ( fun(X0,option(X1)) > X0 ) ).

tff(func_def_3991,type,
    sK4034: 
      !>[X0: $tType,X1: $tType] : ( fun(X0,option(X1)) > X0 ) ).

tff(func_def_3992,type,
    sK4035: 
      !>[X0: $tType,X1: $tType] : ( fun(fun(X1,option(X0)),$o) > X1 ) ).

tff(func_def_3993,type,
    sK4036: 
      !>[X0: $tType,X1: $tType] : ( fun(fun(X1,option(X0)),$o) > X0 ) ).

tff(func_def_3994,type,
    sK4037: 
      !>[X0: $tType,X1: $tType] : ( fun(fun(X1,option(X0)),$o) > fun(X1,option(X0)) ) ).

tff(func_def_3995,type,
    sK4038: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,option(X1)) * X0 ) > X1 ) ).

tff(func_def_3996,type,
    sK4039: 
      !>[X0: $tType] : ( set(X0) > set(X0) ) ).

tff(func_def_3997,type,
    sK4040: 
      !>[X0: $tType] : ( set(X0) > set(X0) ) ).

tff(func_def_3998,type,
    sK4041: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_3999,type,
    sK4042: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_4000,type,
    sK4043: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_4001,type,
    sK4044: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_4002,type,
    sK4045: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_4003,type,
    sK4046: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_4004,type,
    sK4047: 
      !>[X0: $tType] : ( set(set(X0)) > set(X0) ) ).

tff(func_def_4005,type,
    sK4048: 
      !>[X0: $tType] : ( set(X0) > set(X0) ) ).

tff(func_def_4006,type,
    sK4049: 
      !>[X0: $tType] : ( set(X0) > set(X0) ) ).

tff(func_def_4007,type,
    sK4050: 
      !>[X0: $tType] : ( set(X0) > set(X0) ) ).

tff(func_def_4008,type,
    sK4051: 
      !>[X0: $tType] : ( set(X0) > set(X0) ) ).

tff(func_def_4009,type,
    sK4052: 
      !>[X0: $tType] : ( ( set(X0) * set(X0) ) > X0 ) ).

tff(func_def_4010,type,
    sK4053: 
      !>[X0: $tType] : ( ( set(X0) * set(X0) ) > X0 ) ).

tff(func_def_4011,type,
    sK4054: 
      !>[X0: $tType] : ( set(X0) > fun(nat,set(X0)) ) ).

tff(func_def_4012,type,
    sK4055: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,$o)) * fun(X0,fun(X0,$o)) ) > X0 ) ).

tff(func_def_4013,type,
    sK4056: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,$o)) * fun(X0,fun(X0,$o)) ) > X0 ) ).

tff(func_def_4014,type,
    sK4057: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,X0) * fun(X0,fun(X0,$o)) ) > X1 ) ).

tff(func_def_4015,type,
    sK4058: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,X0) * fun(X0,fun(X0,$o)) ) > X1 ) ).

tff(func_def_4016,type,
    sK4059: 
      !>[X0: $tType] : ( ( set(X0) * fun(X0,fun(X0,$o)) ) > X0 ) ).

tff(func_def_4017,type,
    sK4060: 
      !>[X0: $tType] : ( ( set(X0) * fun(X0,fun(X0,$o)) ) > X0 ) ).

tff(func_def_4018,type,
    sK4061: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,$o)) * set(X0) ) > X0 ) ).

tff(func_def_4019,type,
    sK4062: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,$o)) * set(X0) ) > X0 ) ).

tff(func_def_4020,type,
    sK4063: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,$o)) * X0 * set(X0) ) > X0 ) ).

tff(func_def_4021,type,
    sK4064: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,$o)) * set(X0) ) > X0 ) ).

tff(func_def_4022,type,
    sK4065: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,$o)) * set(X0) ) > X0 ) ).

tff(func_def_4023,type,
    sK4066: 
      !>[X0: $tType] : ( ( set(set(X0)) * fun(set(X0),set(X0)) ) > set(X0) ) ).

tff(func_def_4024,type,
    sK4067: 
      !>[X0: $tType] : ( set(set(X0)) > set(X0) ) ).

tff(func_def_4025,type,
    sK4068: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * fun(X1,$o) * X1 ) > X1 ) ).

tff(func_def_4026,type,
    sK4069: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,$o) * X1 * fun(X1,X0) ) > X1 ) ).

tff(func_def_4027,type,
    sK4070: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,$o) * X1 * fun(X1,X0) ) > X1 ) ).

tff(func_def_4028,type,
    sK4071: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,$o) * fun(X1,X0) * fun(X1,$o) ) > X1 ) ).

tff(func_def_4029,type,
    sK4072: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * fun(X1,$o) * X1 ) > X1 ) ).

tff(func_def_4030,type,
    sK4073: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * fun(X1,$o) * X1 ) > X1 ) ).

tff(func_def_4031,type,
    sK4074: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_4032,type,
    sK4075: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * set(X0) * fun(X1,fun(X0,$o)) * fun(X1,fun(X0,$o)) ) > X1 ) ).

tff(func_def_4033,type,
    sK4076: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * set(X0) * fun(X1,fun(X0,$o)) * fun(X1,fun(X0,$o)) ) > X0 ) ).

tff(func_def_4034,type,
    sK4077: 
      !>[X0: $tType,X1: $tType] : ( ( product_prod(X0,X1) * list(X0) * list(X1) ) > nat ) ).

tff(func_def_4035,type,
    sK4078: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,fun(X1,$o)) * list(X0) * list(X1) ) > list(product_prod(X0,X1)) ) ).

tff(func_def_4036,type,
    sK4079: 
      !>[X0: $tType,X1: $tType] : ( ( list(X0) * list(X1) * fun(X0,fun(X1,$o)) ) > nat ) ).

tff(func_def_4037,type,
    sK4080: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,fun(X1,$o)) * list(X0) * list(X1) ) > nat ) ).

tff(func_def_4038,type,
    sK4081: 
      !>[X0: $tType] : ( ( set(set(X0)) * set(X0) ) > set(X0) ) ).

tff(func_def_4039,type,
    sK4082: 
      !>[X0: $tType] : ( set(set(X0)) > set(set(X0)) ) ).

tff(func_def_4040,type,
    sK4083: 
      !>[X0: $tType] : ( set(set(X0)) > set(X0) ) ).

tff(func_def_4041,type,
    sK4084: 
      !>[X0: $tType] : ( set(set(X0)) > set(set(X0)) ) ).

tff(func_def_4042,type,
    sK4085: 
      !>[X0: $tType] : ( set(set(X0)) > set(X0) ) ).

tff(func_def_4043,type,
    sK4086: 
      !>[X0: $tType] : ( ( set(set(X0)) * set(X0) ) > set(X0) ) ).

tff(func_def_4044,type,
    sK4087: 
      !>[X0: $tType,X1: $tType] : ( fun(fun(X1,X0),fun(X1,fun(X0,$o))) > X0 ) ).

tff(func_def_4045,type,
    sK4088: 
      !>[X0: $tType,X1: $tType] : ( fun(fun(X1,X0),fun(X1,fun(X0,$o))) > fun(X1,X0) ) ).

tff(func_def_4046,type,
    sK4089: 
      !>[X0: $tType,X1: $tType] : ( fun(fun(X1,X0),fun(X1,fun(X0,$o))) > fun(X1,X0) ) ).

tff(func_def_4047,type,
    sK4090: 
      !>[X0: $tType,X1: $tType] : ( fun(fun(X1,X0),fun(X1,fun(X0,$o))) > X1 ) ).

tff(func_def_4048,type,
    sK4091: 
      !>[X0: $tType,X1: $tType] : ( fun(fun(X1,X0),fun(X1,fun(X0,$o))) > X1 ) ).

tff(func_def_4049,type,
    sK4092: 
      !>[X0: $tType,X1: $tType] : ( fun(fun(X1,X0),fun(X1,fun(X0,$o))) > fun(X1,X0) ) ).

tff(func_def_4050,type,
    sK4093: 
      !>[X0: $tType,X1: $tType] : ( fun(fun(X1,X0),fun(X1,fun(X0,$o))) > fun(X1,X0) ) ).

tff(func_def_4051,type,
    sK4094: 
      !>[X0: $tType] : ( set(set(X0)) > set(X0) ) ).

tff(func_def_4052,type,
    sK4095: 
      !>[X0: $tType] : ( set(set(X0)) > set(X0) ) ).

tff(func_def_4053,type,
    sK4096: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,X1) * set(X1) ) > X0 ) ).

tff(func_def_4054,type,
    sK4097: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,$o) * fun(X1,X0) * fun(X1,$o) ) > X1 ) ).

tff(func_def_4055,type,
    sK4098: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,X0) * fun(X1,X0) ) > X1 ) ).

tff(func_def_4056,type,
    sK4099: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * set(X0) ) > X1 ) ).

tff(func_def_4057,type,
    sK4100: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * set(X0) ) > X1 ) ).

tff(func_def_4058,type,
    sK4101: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X1,X0) * set(X1) ) > X0 ) ).

tff(func_def_4059,type,
    sK4102: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * set(X1) ) > X0 ) ).

tff(func_def_4060,type,
    sK4103: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * set(X1) ) > X0 ) ).

tff(func_def_4061,type,
    sK4104: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * set(X0) * X0 ) > X0 ) ).

tff(func_def_4062,type,
    sK4105: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,set(X0)) ) > X1 ) ).

tff(func_def_4063,type,
    sK4106: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,set(X0)) ) > X1 ) ).

tff(func_def_4064,type,
    sK4107: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,set(X0)) * fun(X1,set(X0)) ) > X1 ) ).

tff(func_def_4065,type,
    sK4108: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,set(X1)) ) > X0 ) ).

tff(func_def_4066,type,
    sK4109: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,set(X0)) * set(X1) ) > X1 ) ).

tff(func_def_4067,type,
    sK4110: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * set(X0) * set(X0) ) > X0 ) ).

tff(func_def_4068,type,
    sK4111: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * set(X0) * set(X0) ) > fun(X0,$o) ) ).

tff(func_def_4069,type,
    sK4112: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * set(X0) * set(X0) * X0 ) > X0 ) ).

tff(func_def_4070,type,
    sK4113: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,set(X0)) * set(X1) ) > fun(X0,product_prod(X1,X0)) ) ).

tff(func_def_4071,type,
    sK4114: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,set(X0)) ) > X1 ) ).

tff(func_def_4072,type,
    sK4115: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * set(X0) ) > X0 ) ).

tff(func_def_4073,type,
    sK4116: 
      !>[X0: $tType] : ( ( set(X0) * set(product_prod(X0,X0)) ) > X0 ) ).

tff(func_def_4074,type,
    sK4117: 
      !>[X0: $tType,X1: $tType] : ( set(product_prod(X1,X0)) > product_prod(X1,X0) ) ).

tff(func_def_4075,type,
    sK4118: 
      !>[X0: $tType,X1: $tType] : ( ( set(product_prod(X1,X0)) * product_prod(X1,X0) ) > set(X1) ) ).

tff(func_def_4076,type,
    sK4119: 
      !>[X0: $tType,X1: $tType] : ( ( set(product_prod(X1,X0)) * product_prod(X1,X0) ) > set(X0) ) ).

tff(func_def_4077,type,
    sK4120: 
      !>[X0: $tType,X1: $tType] : ( set(product_prod(X1,X0)) > product_prod(X1,X0) ) ).

tff(func_def_4078,type,
    sK4121: 
      !>[X0: $tType,X1: $tType] : ( ( set(product_prod(X1,X0)) * product_prod(X1,X0) ) > set(X1) ) ).

tff(func_def_4079,type,
    sK4122: 
      !>[X0: $tType,X1: $tType] : ( ( set(product_prod(X1,X0)) * product_prod(X1,X0) ) > set(X0) ) ).

tff(func_def_4080,type,
    sK4123: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,set(X0)) ) > X1 ) ).

tff(func_def_4081,type,
    sK4124: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,set(X0)) ) > X1 ) ).

tff(func_def_4082,type,
    sK4125: ( fun(nat,real) * nat ) > nat ).

tff(func_def_4083,type,
    sK4126: ( fun(nat,real) * nat ) > nat ).

tff(func_def_4084,type,
    sK4127: 
      !>[X0: $tType] : ( ( fun(nat,X0) * X0 ) > nat ) ).

tff(func_def_4085,type,
    sK4128: fun(nat,real) > nat ).

tff(func_def_4086,type,
    sK4129: fun(nat,real) > nat ).

tff(func_def_4087,type,
    sK4130: ( fun(nat,real) * nat ) > nat ).

tff(func_def_4088,type,
    sK4131: ( fun(nat,real) * nat ) > nat ).

tff(func_def_4089,type,
    sK4132: 
      !>[X0: $tType] : ( set(product_prod(X0,X0)) > X0 ) ).

tff(func_def_4090,type,
    sK4133: 
      !>[X0: $tType] : set(X0) ).

tff(func_def_4091,type,
    sK4135: 
      !>[X0: $tType] : ( ( fun(X0,$o) * set(X0) ) > X0 ) ).

tff(func_def_4092,type,
    sK4136: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,$o)) * fun(X0,$o) * fun(set(X0),X0) ) > set(X0) ) ).

tff(func_def_4093,type,
    sK4137: 
      !>[X0: $tType] : ( ( fun(set(X0),X0) * fun(X0,fun(X0,$o)) * fun(X0,$o) ) > set(X0) ) ).

tff(func_def_4094,type,
    sK4138: 
      !>[X0: $tType] : ( ( fun(X0,$o) * set(X0) ) > X0 ) ).

tff(func_def_4095,type,
    sK4139: 
      !>[X0: $tType] : ( set(X0) > set(X0) ) ).

tff(func_def_4096,type,
    sK4140: 
      !>[X0: $tType] : ( ( set(X0) * set(X0) ) > set(X0) ) ).

tff(func_def_4097,type,
    sK4141: 
      !>[X0: $tType] : ( ( set(X0) * fun(X0,$o) ) > real ) ).

tff(func_def_4098,type,
    sK4142: 
      !>[X0: $tType] : ( ( set(X0) * fun(X0,$o) ) > X0 ) ).

tff(func_def_4099,type,
    sK4143: 
      !>[X0: $tType] : ( ( set(X0) * fun(X0,$o) ) > X0 ) ).

tff(func_def_4100,type,
    sK4144: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_4101,type,
    sK4145: 
      !>[X0: $tType] : ( ( set(X0) * fun(X0,real) ) > X0 ) ).

tff(func_def_4102,type,
    sK4146: 
      !>[X0: $tType] : ( ( X0 * set(X0) * X0 ) > real ) ).

tff(func_def_4103,type,
    sK4147: 
      !>[X0: $tType] : ( ( set(X0) * set(X0) ) > set(X0) ) ).

tff(func_def_4104,type,
    sK4148: 
      !>[X0: $tType] : ( ( set(X0) * fun(X0,real) ) > X0 ) ).

tff(func_def_4105,type,
    sK4149: set(a) > set(a) ).

tff(func_def_4106,type,
    sK4150: 
      !>[X0: $tType] : ( set(X0) > set(X0) ) ).

tff(func_def_4107,type,
    sK4151: 
      !>[X0: $tType] : ( ( list(X0) * fun(X0,$o) ) > X0 ) ).

tff(func_def_4108,type,
    sK4152: 
      !>[X0: $tType] : ( ( fun(X0,$o) * list(X0) ) > X0 ) ).

tff(func_def_4109,type,
    sK4153: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * set(X0) ) > X0 ) ).

tff(func_def_4110,type,
    sK4154: 
      !>[X0: $tType,X1: $tType] : ( fun(X1,X0) > X1 ) ).

tff(func_def_4111,type,
    sK4155: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * set(X1) * set(X0) ) > fun(X1,X0) ) ).

tff(func_def_4112,type,
    sK4156: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * set(X1) ) > fun(X0,X1) ) ).

tff(func_def_4113,type,
    sK4157: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * set(X0) * set(X1) * set(X0) ) > fun(X1,X0) ) ).

tff(func_def_4114,type,
    sK4158: 
      !>[X0: $tType] : ( ( set(X0) * set(X0) ) > set(X0) ) ).

tff(func_def_4115,type,
    sK4159: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_4116,type,
    sK4160: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_4117,type,
    sK4161: 
      !>[X0: $tType] : ( set(X0) > real ) ).

tff(func_def_4118,type,
    sK4162: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_4119,type,
    sK4163: 
      !>[X0: $tType] : ( set(X0) > real ) ).

tff(func_def_4120,type,
    sK4164: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_4121,type,
    sK4165: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_4122,type,
    sK4166: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_4123,type,
    sK4167: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * set(X1) ) > X1 ) ).

tff(func_def_4124,type,
    sK4168: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * set(X0) ) > fun(X1,X0) ) ).

tff(func_def_4125,type,
    sK4169: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * set(X1) ) > fun(X0,X1) ) ).

tff(func_def_4126,type,
    sK4170: 
      !>[X0: $tType] : ( ( X0 * X0 ) > X0 ) ).

tff(func_def_4127,type,
    sK4171: 
      !>[X0: $tType] : ( ( X0 * X0 ) > X0 ) ).

tff(func_def_4128,type,
    sK4172: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,$o)) * list(X0) ) > nat ) ).

tff(func_def_4129,type,
    sK4173: ( real * real ) > rat ).

tff(func_def_4130,type,
    sK4174: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( fun(X2,fun(X1,X0)) > real ) ).

tff(func_def_4131,type,
    sK4175: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( fun(X2,fun(X1,X0)) > X2 ) ).

tff(func_def_4132,type,
    sK4176: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( fun(X2,fun(X1,X0)) > real ) ).

tff(func_def_4133,type,
    sK4177: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( fun(X2,fun(X1,X0)) > X1 ) ).

tff(func_def_4134,type,
    sK4178: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( fun(X2,fun(X1,X0)) > real ) ).

tff(func_def_4135,type,
    sK4179: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( fun(X2,fun(X1,X0)) > X2 ) ).

tff(func_def_4136,type,
    sK4180: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( fun(X2,fun(X1,X0)) > X1 ) ).

tff(func_def_4137,type,
    sK4181: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( fun(X2,fun(X1,X0)) > X2 ) ).

tff(func_def_4138,type,
    sK4182: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( fun(X2,fun(X1,X0)) > X1 ) ).

tff(func_def_4139,type,
    sK4183: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( fun(X2,fun(X1,X0)) > X1 ) ).

tff(func_def_4140,type,
    sK4184: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( fun(X2,fun(X1,X0)) > X2 ) ).

tff(func_def_4141,type,
    sK4185: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( fun(X2,fun(X1,X0)) > X2 ) ).

tff(func_def_4142,type,
    sK4186: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( fun(X2,fun(X1,X0)) > X1 ) ).

tff(func_def_4143,type,
    sK4187: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( fun(X2,fun(X1,X0)) * real ) > X2 ) ).

tff(func_def_4144,type,
    sK4188: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( fun(X2,fun(X1,X0)) * real ) > X1 ) ).

tff(func_def_4145,type,
    sK4189: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( fun(X2,fun(X1,X0)) > real ) ).

tff(func_def_4146,type,
    sK4190: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( fun(X2,fun(X1,X0)) > real ) ).

tff(func_def_4147,type,
    sK4191: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( fun(X2,fun(X1,X0)) > real ) ).

tff(func_def_4148,type,
    sK4192: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( fun(X2,fun(X1,X0)) > X2 ) ).

tff(func_def_4149,type,
    sK4193: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( fun(X2,fun(X1,X0)) > X2 ) ).

tff(func_def_4150,type,
    sK4194: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( fun(X2,fun(X1,X0)) > X1 ) ).

tff(func_def_4151,type,
    sK4195: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( fun(X2,fun(X1,X0)) > X2 ) ).

tff(func_def_4152,type,
    sK4196: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( fun(X2,fun(X1,X0)) > X1 ) ).

tff(func_def_4153,type,
    sK4197: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( fun(X2,fun(X1,X0)) > X1 ) ).

tff(func_def_4154,type,
    sK4198: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( fun(X2,fun(X1,X0)) > real ) ).

tff(func_def_4155,type,
    sK4199: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( fun(X2,fun(X1,X0)) > X2 ) ).

tff(func_def_4156,type,
    sK4200: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( fun(X2,fun(X1,X0)) > X1 ) ).

tff(func_def_4157,type,
    sK4201: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( fun(X2,fun(X1,X0)) > X2 ) ).

tff(func_def_4158,type,
    sK4202: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( fun(X2,fun(X1,X0)) > real ) ).

tff(func_def_4159,type,
    sK4203: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( fun(X2,fun(X1,X0)) > X1 ) ).

tff(func_def_4160,type,
    sK4204: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( fun(X2,fun(X1,X0)) * real ) > X2 ) ).

tff(func_def_4161,type,
    sK4205: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( fun(X2,fun(X1,X0)) * real ) > X1 ) ).

tff(func_def_4162,type,
    sK4216: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,fun(X0,X0)) ) > X1 ) ).

tff(func_def_4163,type,
    sK4217: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,fun(X0,X0)) ) > X1 ) ).

tff(func_def_4164,type,
    sK4218: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,fun(X0,X0)) ) > X1 ) ).

tff(func_def_4165,type,
    sK4219: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,fun(X0,X0)) ) > X1 ) ).

tff(func_def_4166,type,
    sK4220: 
      !>[X0: $tType] : ( ( list(X0) * X0 ) > X0 ) ).

tff(func_def_4167,type,
    sK4221: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * list(X1) * X1 ) > X1 ) ).

tff(func_def_4168,type,
    sK4222: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * list(X1) * X1 ) > X1 ) ).

tff(func_def_4169,type,
    sK4223: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * list(X1) * X1 ) > list(X1) ) ).

tff(func_def_4170,type,
    sK4224: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,fun(X0,X0)) ) > X1 ) ).

tff(func_def_4171,type,
    sK4225: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,fun(X0,X0)) ) > X1 ) ).

tff(func_def_4172,type,
    sK4226: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,fun(X0,X0)) ) > X1 ) ).

tff(func_def_4173,type,
    sK4227: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,fun(X0,X0)) ) > X1 ) ).

tff(func_def_4174,type,
    sK4228: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * list(X1) * X1 ) > X1 ) ).

tff(func_def_4175,type,
    sK4229: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * list(X1) * X1 ) > X1 ) ).

tff(func_def_4176,type,
    sK4230: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * list(X1) * X1 ) > X1 ) ).

tff(func_def_4177,type,
    sK4231: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * list(X1) * X1 ) > list(X1) ) ).

tff(func_def_4178,type,
    sK4233: real > nat ).

tff(func_def_4179,type,
    sK4234: real > nat ).

tff(func_def_4180,type,
    sK4235: 
      !>[X0: $tType] : ( ( X0 * X0 ) > X0 ) ).

tff(func_def_4181,type,
    sK4236: 
      !>[X0: $tType] : ( ( X0 * X0 ) > X0 ) ).

tff(func_def_4182,type,
    sK4237: 
      !>[X0: $tType] : ( ( X0 * X0 ) > X0 ) ).

tff(func_def_4183,type,
    sK4238: 
      !>[X0: $tType] : ( ( X0 * X0 * X0 ) > X0 ) ).

tff(func_def_4184,type,
    sK4239: 
      !>[X0: $tType] : ( ( X0 * X0 * X0 ) > X0 ) ).

tff(func_def_4185,type,
    sK4240: 
      !>[X0: $tType] : ( ( set(X0) * set(set(X0)) ) > set(X0) ) ).

tff(func_def_4186,type,
    sK4241: 
      !>[X0: $tType] : ( set(set(X0)) > set(set(X0)) ) ).

tff(func_def_4187,type,
    sK4242: 
      !>[X0: $tType] : ( set(set(X0)) > set(X0) ) ).

tff(func_def_4188,type,
    sK4243: 
      !>[X0: $tType] : ( ( set(set(X0)) * set(X0) ) > set(X0) ) ).

tff(func_def_4189,type,
    sK4244: 
      !>[X0: $tType] : ( ( set(X0) * fun(X0,fun(X0,$o)) ) > X0 ) ).

tff(func_def_4190,type,
    sK4245: 
      !>[X0: $tType] : ( ( set(X0) * fun(X0,fun(X0,$o)) ) > X0 ) ).

tff(func_def_4191,type,
    sK4246: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,$o)) * set(X0) ) > X0 ) ).

tff(func_def_4192,type,
    sK4247: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,$o)) * set(X0) ) > X0 ) ).

tff(func_def_4193,type,
    sK4248: 
      !>[X0: $tType] : ( set(set(X0)) > set(X0) ) ).

tff(func_def_4194,type,
    sK4249: 
      !>[X0: $tType] : ( set(set(X0)) > set(X0) ) ).

tff(func_def_4195,type,
    sK4250: 
      !>[X0: $tType] : ( set(set(X0)) > set(X0) ) ).

tff(func_def_4196,type,
    sK4251: 
      !>[X0: $tType] : ( set(set(X0)) > set(X0) ) ).

tff(func_def_4197,type,
    sK4252: 
      !>[X0: $tType] : ( set(set(X0)) > set(set(X0)) ) ).

tff(func_def_4198,type,
    sK4253: 
      !>[X0: $tType] : ( set(set(X0)) > set(X0) ) ).

tff(func_def_4199,type,
    sK4254: 
      !>[X0: $tType] : ( set(set(X0)) > set(X0) ) ).

tff(func_def_4200,type,
    sK4255: 
      !>[X0: $tType] : ( set(set(X0)) > set(X0) ) ).

tff(func_def_4201,type,
    sK4256: 
      !>[X0: $tType] : ( ( set(X0) * set(set(X0)) ) > set(X0) ) ).

tff(func_def_4202,type,
    sK4257: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,$o)) * set(X0) * X0 ) > X0 ) ).

tff(func_def_4203,type,
    sK4258: 
      !>[X0: $tType] : ( set(set(X0)) > set(set(X0)) ) ).

tff(func_def_4204,type,
    sK4259: 
      !>[X0: $tType] : ( set(set(X0)) > set(X0) ) ).

tff(func_def_4205,type,
    sK4260: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( fun(fun(X0,X1),X2) * X2 ) > fun(X0,X1) ) ).

tff(func_def_4206,type,
    sK4261: 
      !>[X0: $tType] : ( ( set(set(X0)) * set(X0) ) > set(X0) ) ).

tff(func_def_4207,type,
    sK4262: 
      !>[X0: $tType] : ( set(set(X0)) > set(set(X0)) ) ).

tff(func_def_4208,type,
    sK4263: 
      !>[X0: $tType] : ( ( set(set(X0)) * set(set(X0)) ) > set(set(X0)) ) ).

tff(func_def_4209,type,
    sK4264: 
      !>[X0: $tType] : ( ( set(X0) * fun(X0,fun(X0,$o)) * set(X0) ) > set(X0) ) ).

tff(func_def_4210,type,
    sK4265: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( fun(X0,fun(X1,$o)) * fun(X2,X0) * fun(X2,X1) ) > fun(X2,product_prod(X0,X1)) ) ).

tff(func_def_4211,type,
    sK4266: ( fun(nat,rat) * rat ) > nat ).

tff(func_def_4212,type,
    sK4267: fun(nat,rat) > rat ).

tff(func_def_4213,type,
    sK4268: ( fun(nat,rat) * nat ) > nat ).

tff(func_def_4214,type,
    sK4269: fun(nat,rat) > rat ).

tff(func_def_4215,type,
    sK4270: ( fun(nat,rat) * rat ) > nat ).

tff(func_def_4216,type,
    sK4271: ( fun(nat,rat) * nat ) > nat ).

tff(func_def_4217,type,
    sK4272: ( fun(nat,rat) * rat ) > nat ).

tff(func_def_4218,type,
    sK4273: 
      !>[X0: $tType,X1: $tType,X2: $tType,X3: $tType] : ( ( set(X0) * set(X3) * fun(X2,X1) * fun(X3,filter(X2)) * fun(X0,filter(X1)) ) > X0 ) ).

tff(func_def_4219,type,
    sK4274: fun(real,$o) > fun(nat,rat) ).

tff(func_def_4220,type,
    sK4275: fun(nat,rat) > rat ).

tff(func_def_4221,type,
    sK4276: fun(nat,rat) > nat ).

tff(func_def_4222,type,
    sK4277: ( fun(nat,rat) * rat * nat ) > nat ).

tff(func_def_4223,type,
    sK4278: ( fun(nat,rat) * fun(nat,rat) ) > rat ).

tff(func_def_4224,type,
    sK4279: ( fun(nat,rat) * fun(nat,rat) * rat ) > nat ).

tff(func_def_4225,type,
    sK4280: ( fun(nat,rat) * fun(nat,rat) * nat ) > nat ).

tff(func_def_4226,type,
    sK4281: real > rat ).

tff(func_def_4227,type,
    sK4282: real > nat ).

tff(func_def_4228,type,
    sK4283: ( real * rat * nat ) > nat ).

tff(func_def_4229,type,
    sK4284: fun(real,$o) > fun(nat,rat) ).

tff(func_def_4230,type,
    sK4285: fun(nat,rat) > rat ).

tff(func_def_4231,type,
    sK4286: ( fun(nat,rat) * real ) > nat ).

tff(func_def_4232,type,
    sK4287: ( fun(nat,rat) * real ) > nat ).

tff(func_def_4233,type,
    sK4288: ( fun(nat,rat) * real ) > nat ).

tff(func_def_4234,type,
    sK4289: fun(nat,rat) > rat ).

tff(func_def_4235,type,
    sK4290: fun(nat,rat) > nat ).

tff(func_def_4236,type,
    sK4291: fun(nat,rat) > rat ).

tff(func_def_4237,type,
    sK4292: fun(nat,rat) > nat ).

tff(func_def_4238,type,
    sK4293: ( fun(nat,rat) * rat * nat ) > nat ).

tff(func_def_4239,type,
    sK4294: fun(nat,rat) > rat ).

tff(func_def_4240,type,
    sK4295: fun(nat,rat) > nat ).

tff(func_def_4241,type,
    sK4296: fun(nat,rat) > rat ).

tff(func_def_4242,type,
    sK4297: ( fun(nat,rat) * rat ) > nat ).

tff(func_def_4243,type,
    sK4298: ( fun(nat,rat) * nat ) > nat ).

tff(func_def_4244,type,
    sK4299: ( fun(nat,rat) * nat ) > nat ).

tff(func_def_4245,type,
    sK4300: fun(nat,rat) > rat ).

tff(func_def_4246,type,
    sK4301: ( fun(nat,rat) * nat ) > nat ).

tff(func_def_4247,type,
    sK4302: ( fun(nat,rat) * nat ) > nat ).

tff(func_def_4248,type,
    sK4303: ( fun(nat,rat) * rat ) > nat ).

tff(func_def_4249,type,
    sK4304: fun(nat,rat) > rat ).

tff(func_def_4250,type,
    sK4305: ( fun(nat,rat) * rat ) > nat ).

tff(func_def_4251,type,
    sK4306: ( fun(nat,rat) * nat ) > nat ).

tff(func_def_4252,type,
    sK4307: ( extended_enat * nat ) > nat ).

tff(func_def_4253,type,
    sK4308: extended_enat > nat ).

tff(func_def_4254,type,
    sK4309: ( set(extended_enat) * nat ) > extended_enat ).

tff(func_def_4255,type,
    sK4310: fun(product_prod(nat,nat),$o) > nat ).

tff(func_def_4256,type,
    sK4311: ( fun(product_prod(nat,nat),$o) * nat ) > nat ).

tff(func_def_4257,type,
    sK4312: ( fun(product_prod(nat,nat),$o) * nat ) > nat ).

tff(func_def_4258,type,
    sK4313: ( extended_enat * extended_enat * nat ) > nat ).

tff(func_def_4259,type,
    sK4314: ( extended_enat * extended_enat * nat ) > nat ).

tff(func_def_4260,type,
    sK4318: ( vEBT_VEBT * extended_enat * vEBT_VEBT ) > option(product_prod(nat,nat)) ).

tff(func_def_4261,type,
    sK4319: ( vEBT_VEBT * extended_enat * vEBT_VEBT ) > nat ).

tff(func_def_4262,type,
    sK4320: ( vEBT_VEBT * extended_enat * vEBT_VEBT ) > list(vEBT_VEBT) ).

tff(func_def_4263,type,
    sK4321: ( vEBT_VEBT * extended_enat * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_4264,type,
    sK4322: ( vEBT_VEBT * extended_enat * vEBT_VEBT ) > option(product_prod(nat,nat)) ).

tff(func_def_4265,type,
    sK4323: ( vEBT_VEBT * extended_enat * vEBT_VEBT ) > nat ).

tff(func_def_4266,type,
    sK4324: ( vEBT_VEBT * extended_enat * vEBT_VEBT ) > list(vEBT_VEBT) ).

tff(func_def_4267,type,
    sK4325: ( vEBT_VEBT * extended_enat * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_4268,type,
    sK4331: ( extended_enat * vEBT_VEBT * option(product_prod(nat,nat)) * nat * list(vEBT_VEBT) * vEBT_VEBT ) > nat ).

tff(func_def_4269,type,
    sK4334: product_prod(vEBT_VEBT,extended_enat) > extended_enat ).

tff(func_def_4270,type,
    sK4335: product_prod(vEBT_VEBT,extended_enat) > option(product_prod(nat,nat)) ).

tff(func_def_4271,type,
    sK4336: product_prod(vEBT_VEBT,extended_enat) > nat ).

tff(func_def_4272,type,
    sK4337: product_prod(vEBT_VEBT,extended_enat) > list(vEBT_VEBT) ).

tff(func_def_4273,type,
    sK4338: product_prod(vEBT_VEBT,extended_enat) > vEBT_VEBT ).

tff(func_def_4274,type,
    sK4339: product_prod(vEBT_VEBT,extended_enat) > option(product_prod(nat,nat)) ).

tff(func_def_4275,type,
    sK4340: product_prod(vEBT_VEBT,extended_enat) > nat ).

tff(func_def_4276,type,
    sK4341: product_prod(vEBT_VEBT,extended_enat) > list(vEBT_VEBT) ).

tff(func_def_4277,type,
    sK4342: product_prod(vEBT_VEBT,extended_enat) > vEBT_VEBT ).

tff(func_def_4278,type,
    sK4343: product_prod(vEBT_VEBT,extended_enat) > nat ).

tff(func_def_4279,type,
    sK4346: ( vEBT_VEBT * extended_enat * vEBT_VEBT ) > option(product_prod(nat,nat)) ).

tff(func_def_4280,type,
    sK4347: ( vEBT_VEBT * extended_enat * vEBT_VEBT ) > nat ).

tff(func_def_4281,type,
    sK4348: ( vEBT_VEBT * extended_enat * vEBT_VEBT ) > list(vEBT_VEBT) ).

tff(func_def_4282,type,
    sK4349: ( vEBT_VEBT * extended_enat * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_4283,type,
    sK4350: ( vEBT_VEBT * extended_enat * vEBT_VEBT ) > option(product_prod(nat,nat)) ).

tff(func_def_4284,type,
    sK4351: ( vEBT_VEBT * extended_enat * vEBT_VEBT ) > nat ).

tff(func_def_4285,type,
    sK4352: ( vEBT_VEBT * extended_enat * vEBT_VEBT ) > list(vEBT_VEBT) ).

tff(func_def_4286,type,
    sK4353: ( vEBT_VEBT * extended_enat * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_4287,type,
    sK4360: ( extended_enat * vEBT_VEBT * option(product_prod(nat,nat)) * nat * list(vEBT_VEBT) * vEBT_VEBT ) > nat ).

tff(func_def_4288,type,
    sK4363: 
      !>[X0: $tType] : ( set(X0) > fun(product_prod(X0,X0),$o) ) ).

tff(func_def_4289,type,
    sK4364: 
      !>[X0: $tType] : ( ( set(X0) * fun(product_prod(X0,X0),$o) ) > set(X0) ) ).

tff(func_def_4290,type,
    sK4365: 
      !>[X0: $tType] : ( ( set(X0) * set(X0) ) > X0 ) ).

tff(func_def_4291,type,
    sK4366: 
      !>[X0: $tType] : ( ( set(X0) * fun(product_prod(X0,X0),$o) * X0 ) > X0 ) ).

tff(func_def_4292,type,
    sK4367: 
      !>[X0: $tType] : ( fun(nat,X0) > fun(product_prod(X0,X0),$o) ) ).

tff(func_def_4293,type,
    sK4368: 
      !>[X0: $tType] : ( ( fun(nat,X0) * fun(product_prod(X0,X0),$o) ) > nat ) ).

tff(func_def_4294,type,
    sK4369: 
      !>[X0: $tType] : ( ( fun(nat,X0) * nat ) > nat ) ).

tff(func_def_4295,type,
    sK4370: 
      !>[X0: $tType] : ( ( fun(nat,X0) * nat ) > nat ) ).

tff(func_def_4296,type,
    sK4371: 
      !>[X0: $tType] : ( ( set(X0) * list(X0) ) > X0 ) ).

tff(func_def_4297,type,
    sK4372: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * set(X0) ) > X0 ) ).

tff(func_def_4298,type,
    sK4373: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * set(X0) ) > X0 ) ).

tff(func_def_4299,type,
    sK4374: 
      !>[X0: $tType] : ( set(product_prod(X0,X0)) > X0 ) ).

tff(func_def_4300,type,
    sK4375: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * set(product_prod(X0,X0)) ) > set(X0) ) ).

tff(func_def_4301,type,
    sK4376: 
      !>[X0: $tType] : ( set(product_prod(X0,X0)) > set(X0) ) ).

tff(func_def_4302,type,
    sK4377: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * set(X0) ) > X0 ) ).

tff(func_def_4303,type,
    sK4378: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * X0 ) > X0 ) ).

tff(func_def_4304,type,
    sK4379: 
      !>[X0: $tType] : ( set(set(product_prod(X0,X0))) > set(product_prod(X0,X0)) ) ).

tff(func_def_4305,type,
    sK4380: 
      !>[X0: $tType] : ( set(set(product_prod(X0,X0))) > set(product_prod(X0,X0)) ) ).

tff(func_def_4306,type,
    sK4381: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( set(X1) * set(X0) * fun(X0,set(X2)) ) > X0 ) ).

tff(func_def_4307,type,
    sK4382: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( set(X0) * set(X2) * fun(X2,set(X1)) ) > X2 ) ).

tff(func_def_4308,type,
    sK4383: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * set(X0) ) > fun(X0,X1) ) ).

tff(func_def_4309,type,
    sK4384: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * set(X1) ) > fun(X1,X0) ) ).

tff(func_def_4310,type,
    sK4385: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * set(X0) ) > fun(X1,X0) ) ).

tff(func_def_4311,type,
    sK4386: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * set(X1) ) > fun(X0,X1) ) ).

tff(func_def_4312,type,
    sK4387: 
      !>[X0: $tType] : ( set(set(product_prod(X0,X0))) > set(product_prod(X0,X0)) ) ).

tff(func_def_4313,type,
    sK4388: 
      !>[X0: $tType] : ( set(set(product_prod(X0,X0))) > set(product_prod(X0,X0)) ) ).

tff(func_def_4314,type,
    sK4389: 
      !>[X0: $tType,X1: $tType] : ( ( set(product_prod(X0,X0)) * set(product_prod(X1,X1)) ) > set(product_prod(X1,X1)) ) ).

tff(func_def_4315,type,
    sK4390: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * set(X1) ) > set(X1) ) ).

tff(func_def_4316,type,
    sK4391: 
      !>[X0: $tType,X1: $tType] : ( ( set(product_prod(X0,X0)) * set(product_prod(X1,X1)) ) > set(product_prod(X1,X1)) ) ).

tff(func_def_4317,type,
    sK4392: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * set(product_prod(X1,X1)) ) > set(X1) ) ).

tff(func_def_4318,type,
    sK4393: fun(nat,complex) > nat ).

tff(func_def_4319,type,
    sK4394: fun(nat,complex) > nat ).

tff(func_def_4320,type,
    sK4395: 
      !>[X0: $tType] : ( ( fun(nat,complex) * nat * fun(nat,X0) ) > nat ) ).

tff(func_def_4321,type,
    sK4396: fun($o,$o) > product_unit ).

tff(func_def_4322,type,
    sK4401: $o > product_unit ).

tff(func_def_4323,type,
    sK4403: 
      !>[X0: $tType] : ( set(set(X0)) > X0 ) ).

tff(func_def_4324,type,
    sK4404: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_4325,type,
    sK4405: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( fun(X2,X0) * fun(X2,X1) ) > X2 ) ).

tff(func_def_4326,type,
    sK4406: ( int * int * int ) > int ).

tff(func_def_4327,type,
    sK4407: ( nat * nat ) > nat ).

tff(func_def_4328,type,
    sK4408: ( nat * nat ) > nat ).

tff(func_def_4329,type,
    sK4409: ( nat * nat ) > nat ).

tff(func_def_4330,type,
    sK4410: ( nat * nat ) > nat ).

tff(func_def_4331,type,
    sK4411: 
      !>[X0: $tType] : ( ( X0 * X0 ) > X0 ) ).

tff(func_def_4332,type,
    sK4412: 
      !>[X0: $tType] : ( ( X0 * X0 ) > X0 ) ).

tff(func_def_4333,type,
    sK4416: set(nat) > nat ).

tff(func_def_4334,type,
    sK4417: set(nat) > nat ).

tff(func_def_4335,type,
    sK4418: 
      !>[X0: $tType,X1: $tType] : ( fun(X1,fun(X0,X0)) > X1 ) ).

tff(func_def_4336,type,
    sK4419: 
      !>[X0: $tType,X1: $tType] : ( fun(X1,fun(X0,X0)) > X1 ) ).

tff(func_def_4337,type,
    sK4420: 
      !>[X0: $tType,X1: $tType] : ( fun(X1,fun(X0,X0)) > X1 ) ).

tff(func_def_4338,type,
    sK4421: 
      !>[X0: $tType,X1: $tType] : ( fun(X1,fun(X0,X0)) > X1 ) ).

tff(func_def_4339,type,
    sK4422: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,$o)) * set(X0) * X0 ) > X0 ) ).

tff(func_def_4340,type,
    sK4423: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,$o)) * set(X0) * X0 ) > X0 ) ).

tff(func_def_4341,type,
    sK4424: 
      !>[X0: $tType,X1: $tType] : ( fun(X1,fun(X0,X0)) > X1 ) ).

tff(func_def_4342,type,
    sK4425: 
      !>[X0: $tType,X1: $tType] : ( fun(X1,fun(X0,X0)) > X1 ) ).

tff(func_def_4343,type,
    sK4426: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,X0)) * fun(X0,X0) ) > X0 ) ).

tff(func_def_4344,type,
    sK4427: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,X0)) * fun(X0,X0) ) > X0 ) ).

tff(func_def_4345,type,
    sK4428: 
      !>[X0: $tType] : ( fun(X0,fun(X0,X0)) > X0 ) ).

tff(func_def_4346,type,
    sK4429: 
      !>[X0: $tType] : ( fun(X0,fun(X0,X0)) > X0 ) ).

tff(func_def_4347,type,
    sK4430: 
      !>[X0: $tType] : ( fun(X0,fun(X0,X0)) > X0 ) ).

tff(func_def_4348,type,
    sK4431: 
      !>[X0: $tType] : ( fun(X0,fun(X0,X0)) > X0 ) ).

tff(func_def_4349,type,
    sK4432: 
      !>[X0: $tType] : ( fun(X0,fun(X0,X0)) > X0 ) ).

tff(func_def_4350,type,
    sK4433: 
      !>[X0: $tType] : ( fun(X0,fun(X0,X0)) > X0 ) ).

tff(func_def_4351,type,
    sK4434: 
      !>[X0: $tType] : ( ( fun(X0,X0) * X0 ) > X0 ) ).

tff(func_def_4352,type,
    sK4435: 
      !>[X0: $tType] : ( ( fun(X0,X0) * fun(X0,X0) ) > X0 ) ).

tff(func_def_4353,type,
    sK4436: 
      !>[X0: $tType] : ( ( fun(X0,X0) * X0 ) > X0 ) ).

tff(func_def_4354,type,
    sK4437: 
      !>[X0: $tType] : ( ( fun(X0,X0) * fun(X0,$o) ) > X0 ) ).

tff(func_def_4355,type,
    sK4438: 
      !>[X0: $tType] : ( fun(X0,$o) > set(X0) ) ).

tff(func_def_4356,type,
    sK4439: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,set(X0)) ) > X1 ) ).

tff(func_def_4357,type,
    sK4440: fun(nat,$o) > nat ).

tff(func_def_4358,type,
    sK4441: ( fun(nat,$o) * nat ) > nat ).

tff(func_def_4359,type,
    sK4442: fun(nat,$o) > nat ).

tff(func_def_4360,type,
    sK4443: ( fun(nat,$o) * nat ) > nat ).

tff(func_def_4361,type,
    sK4444: 
      !>[X0: $tType] : ( ( fun(X0,$o) * fun(X0,$o) ) > X0 ) ).

tff(func_def_4362,type,
    sK4445: 
      !>[X0: $tType] : ( fun(X0,$o) > X0 ) ).

tff(func_def_4363,type,
    sK4446: 
      !>[X0: $tType] : ( fun(X0,$o) > X0 ) ).

tff(func_def_4364,type,
    sK4447: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,fun(X1,$o)) ) > X0 ) ).

tff(func_def_4365,type,
    sK4448: 
      !>[X0: $tType] : ( ( set(X0) * fun(X0,X0) ) > X0 ) ).

tff(func_def_4366,type,
    sK4449: fun(nat,$o) > nat ).

tff(func_def_4367,type,
    sK4450: ( fun(nat,$o) * nat ) > nat ).

tff(func_def_4368,type,
    sK4451: fun(nat,$o) > nat ).

tff(func_def_4369,type,
    sK4452: ( fun(nat,$o) * nat ) > nat ).

tff(func_def_4370,type,
    sK4453: 
      !>[X0: $tType] : ( ( fun(X0,$o) * fun(X0,$o) ) > X0 ) ).

tff(func_def_4371,type,
    sK4454: 
      !>[X0: $tType] : ( fun(X0,$o) > X0 ) ).

tff(func_def_4372,type,
    sK4455: 
      !>[X0: $tType] : ( fun(X0,$o) > X0 ) ).

tff(func_def_4373,type,
    sK4456: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X1,fun(X0,$o)) * filter(X1) ) > X0 ) ).

tff(func_def_4374,type,
    sK4457: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X1,fun(X0,$o)) * filter(X1) ) > X0 ) ).

tff(func_def_4375,type,
    sK4458: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,fun(X1,$o)) ) > X0 ) ).

tff(func_def_4376,type,
    sK4459: 
      !>[X0: $tType] : ( ( X0 * fun(X0,X0) ) > set(X0) ) ).

tff(func_def_4377,type,
    sK4460: 
      !>[X0: $tType] : ( ( X0 * fun(X0,X0) ) > X0 ) ).

tff(func_def_4378,type,
    sK4461: 
      !>[X0: $tType] : ( ( fun(X0,X0) * set(X0) ) > X0 ) ).

tff(func_def_4379,type,
    sK4462: 
      !>[X0: $tType] : ( ( X0 * fun(X0,X0) ) > X0 ) ).

tff(func_def_4380,type,
    sK4463: 
      !>[X0: $tType] : ( ( X0 * fun(X0,X0) ) > set(X0) ) ).

tff(func_def_4381,type,
    sK4464: ( list(nat) * nat ) > nat ).

tff(func_def_4382,type,
    sK4465: ( list(nat) * nat ) > list(nat) ).

tff(func_def_4383,type,
    sK4466: ( list(nat) * nat ) > nat ).

tff(func_def_4384,type,
    sK4467: ( list(nat) * nat ) > list(nat) ).

tff(func_def_4385,type,
    sK4468: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,fun(X1,$o)) * X0 * X1 ) > product_prod(X0,X1) ) ).

tff(func_def_4386,type,
    sK4469: 
      !>[X0: $tType,X1: $tType] : ( ( X0 * X1 * fun(X0,fun(X1,$o)) * fun(X0,fun(X1,$o)) ) > X0 ) ).

tff(func_def_4387,type,
    sK4470: 
      !>[X0: $tType,X1: $tType] : ( ( X0 * X1 * fun(X0,fun(X1,$o)) * fun(X0,fun(X1,$o)) ) > X1 ) ).

tff(func_def_4388,type,
    sK4471: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,fun(X1,$o)) * X0 * X1 * fun(X0,fun(X1,$o)) ) > X0 ) ).

tff(func_def_4389,type,
    sK4472: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,fun(X1,$o)) * X0 * X1 * fun(X0,fun(X1,$o)) ) > X1 ) ).

tff(func_def_4390,type,
    sK4473: 
      !>[X0: $tType] : ( ( X0 * fun(X0,fun(X0,$o)) ) > X0 ) ).

tff(func_def_4391,type,
    sK4474: fun(nat,$o) > nat ).

tff(func_def_4392,type,
    sK4475: ( nat * list(nat) ) > nat ).

tff(func_def_4393,type,
    sK4476: ( nat * list(nat) ) > nat ).

tff(func_def_4394,type,
    sK4477: 
      !>[X0: $tType] : ( X0 > X0 ) ).

tff(func_def_4395,type,
    sK4478: 
      !>[X0: $tType] : ( X0 > X0 ) ).

tff(func_def_4396,type,
    sK4479: 
      !>[X0: $tType] : ( X0 > X0 ) ).

tff(func_def_4397,type,
    sK4480: 
      !>[X0: $tType] : ( X0 > X0 ) ).

tff(func_def_4398,type,
    sK4481: 
      !>[X0: $tType] : ( X0 > X0 ) ).

tff(func_def_4399,type,
    sK4482: 
      !>[X0: $tType] : ( X0 > X0 ) ).

tff(func_def_4400,type,
    sK4483: 
      !>[X0: $tType] : ( fun(X0,$o) > X0 ) ).

tff(func_def_4401,type,
    sK4484: 
      !>[X0: $tType] : ( ( fun(X0,$o) * fun(X0,nat) * nat ) > X0 ) ).

tff(func_def_4402,type,
    sK4485: 
      !>[X0: $tType] : ( ( fun(X0,$o) * fun(X0,nat) * nat ) > X0 ) ).

tff(func_def_4403,type,
    sK4486: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,$o) * X1 * fun(X1,X0) ) > X1 ) ).

tff(func_def_4404,type,
    sK4487: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,$o) * fun(X1,X0) * fun(X1,$o) ) > X1 ) ).

tff(func_def_4405,type,
    sK4488: 
      !>[X0: $tType] : ( ( fun(X0,$o) * fun(X0,nat) * nat ) > X0 ) ).

tff(func_def_4406,type,
    sK4489: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,$o) * X1 * fun(X1,X0) ) > X1 ) ).

tff(func_def_4407,type,
    sK4490: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * fun(X1,$o) * X1 ) > X1 ) ).

tff(func_def_4408,type,
    sK4491: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * fun(X1,$o) * X1 ) > X1 ) ).

tff(func_def_4409,type,
    sK4492: fun(nat,rat) > fun(nat,rat) ).

tff(func_def_4410,type,
    sK4493: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( set(X2) * fun(X2,fun(X1,X0)) ) > X2 ) ).

tff(func_def_4411,type,
    sK4494: 
      !>[X0: $tType,X1: $tType] : ( fun(X1,fun(X0,X0)) > X1 ) ).

tff(func_def_4412,type,
    sK4495: 
      !>[X0: $tType,X1: $tType] : ( fun(X1,fun(X0,X0)) > X0 ) ).

tff(func_def_4413,type,
    sK4496: 
      !>[X0: $tType,X1: $tType] : ( fun(X1,fun(X0,X0)) > X0 ) ).

tff(func_def_4414,type,
    sK4497: 
      !>[X0: $tType,X1: $tType] : ( fun(X1,fun(X0,X0)) > X1 ) ).

tff(func_def_4415,type,
    sK4498: 
      !>[X0: $tType,X1: $tType] : ( fun(X1,fun(X0,X0)) > X1 ) ).

tff(func_def_4416,type,
    sK4499: 
      !>[X0: $tType,X1: $tType] : ( fun(X1,fun(X0,X0)) > X0 ) ).

tff(func_def_4417,type,
    sK4500: 
      !>[X0: $tType,X1: $tType] : ( fun(X1,fun(X0,X0)) > X1 ) ).

tff(func_def_4418,type,
    sK4501: 
      !>[X0: $tType,X1: $tType] : ( fun(X1,fun(X0,X0)) > X1 ) ).

tff(func_def_4419,type,
    sK4502: 
      !>[X0: $tType,X1: $tType] : ( fun(X1,fun(X0,X0)) > X0 ) ).

tff(func_def_4420,type,
    sK4503: 
      !>[X0: $tType,X1: $tType] : ( fun(X1,fun(X0,X0)) > X0 ) ).

tff(func_def_4421,type,
    sK4504: 
      !>[X0: $tType,X1: $tType] : ( fun(X0,fun(X1,X1)) > X1 ) ).

tff(func_def_4422,type,
    sK4505: 
      !>[X0: $tType,X1: $tType] : ( fun(X0,fun(X1,X1)) > X0 ) ).

tff(func_def_4423,type,
    sK4506: 
      !>[X0: $tType,X1: $tType] : ( fun(X0,fun(X1,X1)) > X0 ) ).

tff(func_def_4424,type,
    sK4507: 
      !>[X0: $tType,X1: $tType] : ( fun(X0,fun(X1,X1)) > X1 ) ).

tff(func_def_4425,type,
    sK4508: 
      !>[X0: $tType,X1: $tType] : ( fun(X0,fun(X1,X1)) > X0 ) ).

tff(func_def_4426,type,
    sK4509: 
      !>[X0: $tType,X1: $tType] : ( fun(X0,fun(X1,X1)) > X0 ) ).

tff(func_def_4427,type,
    sK4510: 
      !>[X0: $tType,X1: $tType] : ( fun(X0,fun(X1,X1)) > X1 ) ).

tff(func_def_4428,type,
    sK4511: 
      !>[X0: $tType,X1: $tType] : ( fun(X0,fun(X1,X1)) > X0 ) ).

tff(func_def_4429,type,
    sK4512: 
      !>[X0: $tType,X1: $tType] : ( fun(X0,fun(X1,X1)) > X1 ) ).

tff(func_def_4430,type,
    sK4513: 
      !>[X0: $tType,X1: $tType] : ( fun(X0,fun(X1,X1)) > X1 ) ).

tff(func_def_4431,type,
    sK4514: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,fun(X1,X1)) * set(X1) * fun(X1,$o) ) > X0 ) ).

tff(func_def_4432,type,
    sK4515: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,fun(X1,X1)) * set(X1) * fun(X1,$o) ) > X1 ) ).

tff(func_def_4433,type,
    sK4516: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,fun(X1,X1)) * set(X1) * fun(X1,$o) ) > X1 ) ).

tff(func_def_4434,type,
    sK4517: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,fun(X1,X1)) * X1 * set(X1) * X1 ) > X0 ) ).

tff(func_def_4435,type,
    sK4518: set(fun(nat,rat)) > real ).

tff(func_def_4436,type,
    sK4519: fun(set(fun(nat,rat)),$o) > real ).

tff(func_def_4437,type,
    sK4520: real > set(fun(nat,rat)) ).

tff(func_def_4438,type,
    sK4521: fun(real,$o) > set(fun(nat,rat)) ).

tff(func_def_4439,type,
    sK4522: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,fun(X0,X0)) * set(X0) ) > set(X0) ) ).

tff(func_def_4440,type,
    sK4523: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,fun(X0,X0)) * set(X0) ) > fun(X0,X1) ) ).

tff(func_def_4441,type,
    sK4524: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,fun(X0,X0)) * set(X0) ) > X0 ) ).

tff(func_def_4442,type,
    sK4525: 
      !>[X0: $tType] : ( set(set(X0)) > set(X0) ) ).

tff(func_def_4443,type,
    sK4526: 
      !>[X0: $tType] : ( set(set(X0)) > set(X0) ) ).

tff(func_def_4444,type,
    sK4527: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,fun(X1,X1)) * set(set(X1)) ) > set(X1) ) ).

tff(func_def_4445,type,
    sK4528: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,fun(X1,X1)) * set(X1) ) > fun(X1,X0) ) ).

tff(func_def_4446,type,
    sK4529: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,fun(X1,X1)) * set(X1) ) > X1 ) ).

tff(func_def_4447,type,
    sK4530: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_4448,type,
    sK4531: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_4449,type,
    sK4532: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,fun(X0,X0)) * set(X0) ) > fun(X0,X1) ) ).

tff(func_def_4450,type,
    sK4533: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,fun(X0,X0)) * set(X0) ) > X0 ) ).

tff(func_def_4451,type,
    sK4534: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,fun(X0,X0)) * set(X0) ) > fun(X0,X1) ) ).

tff(func_def_4452,type,
    sK4535: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,fun(X0,X0)) * set(X0) ) > X0 ) ).

tff(func_def_4453,type,
    sK4536: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,fun(X0,X0)) * set(X0) ) > set(X0) ) ).

tff(func_def_4454,type,
    sK4537: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,fun(X0,X0)) * set(X0) ) > fun(X0,X1) ) ).

tff(func_def_4455,type,
    sK4538: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,fun(X0,X0)) * set(X0) ) > X0 ) ).

tff(func_def_4456,type,
    sK4539: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_4457,type,
    sK4540: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,fun(X1,X1)) * set(X1) * set(X1) ) > set(X1) ) ).

tff(func_def_4458,type,
    sK4541: 
      !>[X0: $tType,X1: $tType] : ( fun(X0,fun(X1,X1)) > X1 ) ).

tff(func_def_4459,type,
    sK4542: 
      !>[X0: $tType,X1: $tType] : ( fun(X0,fun(X1,X1)) > X0 ) ).

tff(func_def_4460,type,
    sK4543: 
      !>[X0: $tType,X1: $tType] : ( fun(X0,fun(X1,X1)) > X0 ) ).

tff(func_def_4461,type,
    sK4544: 
      !>[X0: $tType,X1: $tType] : ( fun(X0,fun(X1,X1)) > X1 ) ).

tff(func_def_4462,type,
    sK4545: 
      !>[X0: $tType,X1: $tType] : ( fun(X0,fun(X1,X1)) > X0 ) ).

tff(func_def_4463,type,
    sK4546: 
      !>[X0: $tType,X1: $tType] : ( fun(X0,fun(X1,X1)) > X0 ) ).

tff(func_def_4464,type,
    sK4547: 
      !>[X0: $tType,X1: $tType] : ( fun(X0,fun(X1,X1)) > X1 ) ).

tff(func_def_4465,type,
    sK4548: 
      !>[X0: $tType,X1: $tType] : ( fun(X0,fun(X1,X1)) > X0 ) ).

tff(func_def_4466,type,
    sK4549: 
      !>[X0: $tType,X1: $tType] : ( fun(X0,fun(X1,X1)) > X1 ) ).

tff(func_def_4467,type,
    sK4550: 
      !>[X0: $tType,X1: $tType] : ( fun(X0,fun(X1,X1)) > X1 ) ).

tff(func_def_4468,type,
    sK4551: 
      !>[X0: $tType,X1: $tType] : ( fun(X1,fun(X0,X0)) > X1 ) ).

tff(func_def_4469,type,
    sK4552: 
      !>[X0: $tType,X1: $tType] : ( fun(X1,fun(X0,X0)) > X0 ) ).

tff(func_def_4470,type,
    sK4553: 
      !>[X0: $tType,X1: $tType] : ( fun(X1,fun(X0,X0)) > X0 ) ).

tff(func_def_4471,type,
    sK4554: 
      !>[X0: $tType,X1: $tType] : ( fun(X1,fun(X0,X0)) > X1 ) ).

tff(func_def_4472,type,
    sK4555: 
      !>[X0: $tType,X1: $tType] : ( fun(X1,fun(X0,X0)) > X1 ) ).

tff(func_def_4473,type,
    sK4556: 
      !>[X0: $tType,X1: $tType] : ( fun(X1,fun(X0,X0)) > X0 ) ).

tff(func_def_4474,type,
    sK4557: 
      !>[X0: $tType,X1: $tType] : ( fun(X1,fun(X0,X0)) > X1 ) ).

tff(func_def_4475,type,
    sK4558: 
      !>[X0: $tType,X1: $tType] : ( fun(X1,fun(X0,X0)) > X1 ) ).

tff(func_def_4476,type,
    sK4559: 
      !>[X0: $tType,X1: $tType] : ( fun(X1,fun(X0,X0)) > X0 ) ).

tff(func_def_4477,type,
    sK4560: 
      !>[X0: $tType,X1: $tType] : ( fun(X1,fun(X0,X0)) > X0 ) ).

tff(func_def_4478,type,
    sK4561: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,fun(X1,X1)) * set(X1) ) > set(X1) ) ).

tff(func_def_4479,type,
    sK4562: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,fun(X1,X1)) * set(X1) * set(X1) ) > set(X1) ) ).

tff(func_def_4480,type,
    sK4563: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_4481,type,
    sK4564: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,fun(X1,X1)) * set(X1) ) > fun(X1,X0) ) ).

tff(func_def_4482,type,
    sK4565: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,fun(X1,X1)) * set(X1) ) > X1 ) ).

tff(func_def_4483,type,
    sK4566: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,fun(X1,X1)) * set(X1) ) > X1 ) ).

tff(func_def_4484,type,
    sK4567: 
      !>[X0: $tType] : ( X0 > int ) ).

tff(func_def_4485,type,
    sK4568: set(fun(nat,rat)) > fun(nat,rat) ).

tff(func_def_4486,type,
    sK4569: fun(nat,rat) > rat ).

tff(func_def_4487,type,
    sK4570: fun(nat,rat) > nat ).

tff(func_def_4488,type,
    sK4571: ( fun(nat,rat) * rat * nat ) > nat ).

tff(func_def_4489,type,
    sK4572: real > int ).

tff(func_def_4490,type,
    sK4573: real > nat ).

tff(func_def_4491,type,
    sK4574: real > int ).

tff(func_def_4492,type,
    sK4575: real > int ).

tff(func_def_4493,type,
    sK4576: 
      !>[X0: $tType] : ( product_prod(X0,X0) > X0 ) ).

tff(func_def_4494,type,
    sK4577: 
      !>[X0: $tType] : ( product_prod(X0,X0) > X0 ) ).

tff(func_def_4495,type,
    sK4578: 
      !>[X0: $tType] : ( product_prod(X0,X0) > X0 ) ).

tff(func_def_4496,type,
    sK4579: 
      !>[X0: $tType] : ( product_prod(X0,X0) > X0 ) ).

tff(func_def_4497,type,
    sK4580: 
      !>[X0: $tType] : ( product_prod(X0,X0) > X0 ) ).

tff(func_def_4498,type,
    sK4581: 
      !>[X0: $tType] : ( product_prod(X0,X0) > X0 ) ).

tff(func_def_4499,type,
    sK4582: 
      !>[X0: $tType] : ( product_prod(X0,X0) > X0 ) ).

tff(func_def_4500,type,
    sK4583: 
      !>[X0: $tType] : ( product_prod(X0,X0) > X0 ) ).

tff(func_def_4501,type,
    sK4584: ( set(int) * int ) > int ).

tff(func_def_4502,type,
    sK4585: 
      !>[X0: $tType] : ( ( set(set(X0)) * set(X0) ) > set(X0) ) ).

tff(func_def_4503,type,
    sK4586: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * set(product_prod(X0,X0)) ) > X0 ) ).

tff(func_def_4504,type,
    sK4587: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * set(product_prod(X0,X0)) ) > X0 ) ).

tff(func_def_4505,type,
    sK4588: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * set(product_prod(X0,X0)) ) > X0 ) ).

tff(func_def_4506,type,
    sK4589: 
      !>[X0: $tType] : ( ( fun(set(X0),$o) * set(X0) ) > set(X0) ) ).

tff(func_def_4507,type,
    sK4590: 
      !>[X0: $tType] : ( ( fun(set(X0),$o) * set(X0) ) > X0 ) ).

tff(func_def_4508,type,
    sK4591: 
      !>[X0: $tType] : ( ( fun(X0,$o) * X0 ) > X0 ) ).

tff(func_def_4509,type,
    sK4592: 
      !>[X0: $tType] : ( ( fun(X0,$o) * X0 ) > X0 ) ).

tff(func_def_4510,type,
    sK4593: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > fun(X0,real) ) ).

tff(func_def_4511,type,
    sK4594: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > fun(X0,real) ) ).

tff(func_def_4512,type,
    sK4595: 
      !>[X0: $tType] : ( ( set(X0) * fun(X0,real) ) > X0 ) ).

tff(func_def_4513,type,
    sK4596: 
      !>[X0: $tType] : ( ( list(X0) * X0 ) > nat ) ).

tff(func_def_4514,type,
    sK4597: 
      !>[X0: $tType] : ( ( set(set(X0)) * set(X0) ) > fun(set(X0),X0) ) ).

tff(func_def_4515,type,
    sK4598: 
      !>[X0: $tType] : ( ( set(set(X0)) * fun(set(X0),X0) ) > set(X0) ) ).

tff(func_def_4516,type,
    sK4599: 
      !>[X0: $tType] : ( ( set(set(X0)) * set(X0) ) > fun(set(X0),X0) ) ).

tff(func_def_4517,type,
    sK4600: 
      !>[X0: $tType] : ( ( set(set(X0)) * fun(set(X0),X0) ) > set(X0) ) ).

tff(func_def_4518,type,
    sK4601: 
      !>[X0: $tType] : ( ( set(X0) * set(X0) ) > set(X0) ) ).

tff(func_def_4519,type,
    sK4602: 
      !>[X0: $tType] : ( ( set(filter(X0)) * filter(X0) ) > filter(X0) ) ).

tff(func_def_4520,type,
    sK4603: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_4521,type,
    sK4604: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_4522,type,
    sK4605: ( set(real) * real ) > real ).

tff(func_def_4523,type,
    sK4606: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_4524,type,
    sK4607: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_4525,type,
    sK4608: 
      !>[X0: $tType] : ( ( fun(X0,$o) * X0 ) > X0 ) ).

tff(func_def_4526,type,
    sK4609: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * X0 ) > X1 ) ).

tff(func_def_4527,type,
    sK4610: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > set(X0) ) ).

tff(func_def_4528,type,
    sK4611: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > fun(X0,real) ) ).

tff(func_def_4529,type,
    sK4612: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * product_prod(set(X0),set(X0)) ) > set(X0) ) ).

tff(func_def_4530,type,
    sK4613: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * product_prod(set(X0),set(X0)) ) > set(X0) ) ).

tff(func_def_4531,type,
    sK4614: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * set(X0) * set(X0) ) > X0 ) ).

tff(func_def_4532,type,
    sK4615: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * product_prod(set(X0),set(X0)) * X0 ) > X0 ) ).

tff(func_def_4533,type,
    sK4616: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,$o)) * fun(X0,$o) * X0 ) > X0 ) ).

tff(func_def_4534,type,
    sK4617: 
      !>[X0: $tType] : ( ( fun(X0,$o) * X0 ) > set(X0) ) ).

tff(func_def_4535,type,
    sK4618: 
      !>[X0: $tType] : ( ( fun(X0,X0) * fun(X0,$o) * X0 ) > X0 ) ).

tff(func_def_4536,type,
    sK4619: 
      !>[X0: $tType] : ( ( fun(X0,$o) * set(X0) ) > X0 ) ).

tff(func_def_4537,type,
    sK4620: 
      !>[X0: $tType] : ( ( set(X0) * fun(X0,real) ) > X0 ) ).

tff(func_def_4538,type,
    sK4621: 
      !>[X0: $tType] : ( ( fun(list(X0),fun(list(X0),$o)) * list(X0) * list(X0) ) > X0 ) ).

tff(func_def_4539,type,
    sK4622: 
      !>[X0: $tType] : ( ( fun(list(X0),fun(list(X0),$o)) * list(X0) * list(X0) ) > X0 ) ).

tff(func_def_4540,type,
    sK4623: 
      !>[X0: $tType] : ( ( fun(list(X0),fun(list(X0),$o)) * list(X0) * list(X0) ) > list(X0) ) ).

tff(func_def_4541,type,
    sK4624: 
      !>[X0: $tType] : ( ( fun(list(X0),fun(list(X0),$o)) * list(X0) * list(X0) ) > list(X0) ) ).

tff(func_def_4542,type,
    sK4625: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) ) > X0 ) ).

tff(func_def_4543,type,
    sK4626: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) ) > X0 ) ).

tff(func_def_4544,type,
    sK4627: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) ) > list(X0) ) ).

tff(func_def_4545,type,
    sK4628: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) ) > list(X0) ) ).

tff(func_def_4546,type,
    sK4629: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) ) > X0 ) ).

tff(func_def_4547,type,
    sK4630: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) ) > list(X0) ) ).

tff(func_def_4548,type,
    sK4632: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * set(X0) * set(X0) ) > X0 ) ).

tff(func_def_4549,type,
    sK4633: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * set(X0) * X0 ) > X0 ) ).

tff(func_def_4550,type,
    sK4634: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,fun(X1,X1)) * set(X1) * X1 ) > fun(X1,X0) ) ).

tff(func_def_4551,type,
    sK4635: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,fun(X1,X1)) * set(X1) * X1 ) > fun(X1,X0) ) ).

tff(func_def_4552,type,
    sK4636: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_4553,type,
    sK4637: 
      !>[X0: $tType,X1: $tType] : ( ( list(X0) * list(X1) * product_prod(X0,X1) ) > nat ) ).

tff(func_def_4554,type,
    sK4638: 
      !>[X0: $tType] : ( ( list(X0) * set(nat) * X0 ) > nat ) ).

tff(func_def_4555,type,
    sK4639: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,set(X1)) * X1 ) > set(X1) ) ).

tff(func_def_4556,type,
    sK4640: 
      !>[X0: $tType] : ( ( set(X0) * X0 * X0 ) > X0 ) ).

tff(func_def_4557,type,
    sK4641: 
      !>[X0: $tType] : ( ( set(X0) * X0 * X0 ) > X0 ) ).

tff(func_def_4558,type,
    sK4642: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * set(X1) * X0 ) > X1 ) ).

tff(func_def_4559,type,
    sK4643: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * fun(X1,$o) * X0 ) > X1 ) ).

tff(func_def_4560,type,
    sK4644: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,$o) * fun(X1,X0) * X0 ) > X1 ) ).

tff(func_def_4561,type,
    sK4645: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X0,fun(X1,$o)) * X0 ) > X1 ) ).

tff(func_def_4562,type,
    sK4646: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,fun(X1,$o)) * X1 ) > X0 ) ).

tff(func_def_4563,type,
    sK4647: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X0,fun(X1,$o)) * X0 ) > X1 ) ).

tff(func_def_4564,type,
    sK4648: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,fun(X1,$o)) * X1 ) > X0 ) ).

tff(func_def_4565,type,
    sK4649: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * set(X1) * X1 ) > X1 ) ).

tff(func_def_4566,type,
    sK4650: 
      !>[X0: $tType] : ( ( fun(nat,X0) * fun(nat,real) * nat ) > nat ) ).

tff(func_def_4567,type,
    sK4651: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * set(X1) * X0 ) > X1 ) ).

tff(func_def_4568,type,
    sK4652: 
      !>[X0: $tType] : ( ( fun(nat,X0) * fun(nat,real) * nat ) > nat ) ).

tff(func_def_4569,type,
    sK4653: 
      !>[X0: $tType] : ( ( fun(nat,X0) * fun(nat,real) * nat ) > nat ) ).

tff(func_def_4570,type,
    sK4654: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,$o) * fun(X0,fun(X1,$o)) * X0 ) > X1 ) ).

tff(func_def_4571,type,
    sK4655: 
      !>[X0: $tType] : ( ( fun(X0,X0) * X0 * X0 ) > nat ) ).

tff(func_def_4572,type,
    sK4656: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,fun(X1,X1)) * set(X1) * X1 ) > set(X1) ) ).

tff(func_def_4573,type,
    sK4657: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,fun(X1,X1)) * set(X1) * X1 ) > fun(X1,X0) ) ).

tff(func_def_4574,type,
    sK4658: 
      !>[X0: $tType] : ( ( set(X0) * set(X0) * X0 ) > X0 ) ).

tff(func_def_4575,type,
    sK4659: 
      !>[X0: $tType] : ( ( set(X0) * set(X0) * X0 ) > X0 ) ).

tff(func_def_4576,type,
    sK4660: 
      !>[X0: $tType] : ( ( set(X0) * set(X0) * X0 ) > X0 ) ).

tff(func_def_4577,type,
    sK4661: 
      !>[X0: $tType] : ( ( set(X0) * set(X0) * X0 ) > X0 ) ).

tff(func_def_4578,type,
    sK4662: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_4579,type,
    sK4663: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * set(X1) * X1 * fun(X0,X1) ) > X0 ) ).

tff(func_def_4580,type,
    sK4664: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( fun(X0,$o) * fun(X2,$o) * fun(X0,fun(X2,X1)) * X1 ) > X0 ) ).

tff(func_def_4581,type,
    sK4665: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( fun(X0,$o) * fun(X2,$o) * fun(X0,fun(X2,X1)) * X1 ) > X2 ) ).

tff(func_def_4582,type,
    sK4666: ( list(vEBT_VEBT) * vEBT_VEBT * nat ) > nat ).

tff(func_def_4583,type,
    sK4667: list(vEBT_VEBT) > vEBT_VEBT ).

tff(func_def_4584,type,
    sK4668: ( nat * list(vEBT_VEBT) * nat * nat * nat ) > nat ).

tff(func_def_4585,type,
    sK4669: list(vEBT_VEBT) > nat ).

tff(func_def_4586,type,
    sK4672: ( list(vEBT_VEBT) * nat ) > nat ).

tff(func_def_4587,type,
    sK4673: 
      !>[X0: $tType] : ( fun(X0,$o) > X0 ) ).

tff(pred_def_1,type,
    type: 
      !>[X0: $tType] : $o ).

tff(pred_def_2,type,
    size: 
      !>[X0: $tType] : $o ).

tff(pred_def_3,type,
    dvd: 
      !>[X0: $tType] : $o ).

tff(pred_def_4,type,
    one: 
      !>[X0: $tType] : $o ).

tff(pred_def_5,type,
    idom: 
      !>[X0: $tType] : $o ).

tff(pred_def_6,type,
    ring: 
      !>[X0: $tType] : $o ).

tff(pred_def_7,type,
    plus: 
      !>[X0: $tType] : $o ).

tff(pred_def_8,type,
    zero: 
      !>[X0: $tType] : $o ).

tff(pred_def_9,type,
    numeral: 
      !>[X0: $tType] : $o ).

tff(pred_def_10,type,
    power: 
      !>[X0: $tType] : $o ).

tff(pred_def_11,type,
    field: 
      !>[X0: $tType] : $o ).

tff(pred_def_12,type,
    ring_gcd: 
      !>[X0: $tType] : $o ).

tff(pred_def_13,type,
    abs_if: 
      !>[X0: $tType] : $o ).

tff(pred_def_14,type,
    ring_1: 
      !>[X0: $tType] : $o ).

tff(pred_def_15,type,
    uminus: 
      !>[X0: $tType] : $o ).

tff(pred_def_16,type,
    bot: 
      !>[X0: $tType] : $o ).

tff(pred_def_17,type,
    ord: 
      !>[X0: $tType] : $o ).

tff(pred_def_18,type,
    top: 
      !>[X0: $tType] : $o ).

tff(pred_def_19,type,
    semidom: 
      !>[X0: $tType] : $o ).

tff(pred_def_20,type,
    inverse: 
      !>[X0: $tType] : $o ).

tff(pred_def_21,type,
    semiring: 
      !>[X0: $tType] : $o ).

tff(pred_def_22,type,
    ring_char_0: 
      !>[X0: $tType] : $o ).

tff(pred_def_23,type,
    neg_numeral: 
      !>[X0: $tType] : $o ).

tff(pred_def_24,type,
    order: 
      !>[X0: $tType] : $o ).

tff(pred_def_25,type,
    comm_ring: 
      !>[X0: $tType] : $o ).

tff(pred_def_26,type,
    mult_zero: 
      !>[X0: $tType] : $o ).

tff(pred_def_27,type,
    semiring_Gcd: 
      !>[X0: $tType] : $o ).

tff(pred_def_28,type,
    semiring_gcd: 
      !>[X0: $tType] : $o ).

tff(pred_def_29,type,
    group_add: 
      !>[X0: $tType] : $o ).

tff(pred_def_30,type,
    lattice: 
      !>[X0: $tType] : $o ).

tff(pred_def_31,type,
    no_bot: 
      !>[X0: $tType] : $o ).

tff(pred_def_32,type,
    no_top: 
      !>[X0: $tType] : $o ).

tff(pred_def_33,type,
    semiring_0: 
      !>[X0: $tType] : $o ).

tff(pred_def_34,type,
    semiring_1: 
      !>[X0: $tType] : $o ).

tff(pred_def_35,type,
    finite_finite: 
      !>[X0: $tType] : $o ).

tff(pred_def_36,type,
    monoid_add: 
      !>[X0: $tType] : $o ).

tff(pred_def_37,type,
    comm_ring_1: 
      !>[X0: $tType] : $o ).

tff(pred_def_38,type,
    idom_divide: 
      !>[X0: $tType] : $o ).

tff(pred_def_39,type,
    idom_modulo: 
      !>[X0: $tType] : $o ).

tff(pred_def_40,type,
    ln: 
      !>[X0: $tType] : $o ).

tff(pred_def_41,type,
    monoid_mult: 
      !>[X0: $tType] : $o ).

tff(pred_def_42,type,
    linorder: 
      !>[X0: $tType] : $o ).

tff(pred_def_43,type,
    preorder: 
      !>[X0: $tType] : $o ).

tff(pred_def_44,type,
    idom_abs_sgn: 
      !>[X0: $tType] : $o ).

tff(pred_def_45,type,
    ordered_ring: 
      !>[X0: $tType] : $o ).

tff(pred_def_46,type,
    zero_neq_one: 
      !>[X0: $tType] : $o ).

tff(pred_def_47,type,
    countable: 
      !>[X0: $tType] : $o ).

tff(pred_def_48,type,
    finite_lattice: 
      !>[X0: $tType] : $o ).

tff(pred_def_49,type,
    field_char_0: 
      !>[X0: $tType] : $o ).

tff(pred_def_50,type,
    ab_group_add: 
      !>[X0: $tType] : $o ).

tff(pred_def_51,type,
    semiring_char_0: 
      !>[X0: $tType] : $o ).

tff(pred_def_52,type,
    order_bot: 
      !>[X0: $tType] : $o ).

tff(pred_def_53,type,
    order_top: 
      !>[X0: $tType] : $o ).

tff(pred_def_54,type,
    wellorder: 
      !>[X0: $tType] : $o ).

tff(pred_def_55,type,
    comm_semiring: 
      !>[X0: $tType] : $o ).

tff(pred_def_56,type,
    zero_less_one: 
      !>[X0: $tType] : $o ).

tff(pred_def_57,type,
    division_ring: 
      !>[X0: $tType] : $o ).

tff(pred_def_58,type,
    semigroup_add: 
      !>[X0: $tType] : $o ).

tff(pred_def_59,type,
    semiring_numeral: 
      !>[X0: $tType] : $o ).

tff(pred_def_60,type,
    semidom_divide: 
      !>[X0: $tType] : $o ).

tff(pred_def_61,type,
    semidom_modulo: 
      !>[X0: $tType] : $o ).

tff(pred_def_62,type,
    semigroup_mult: 
      !>[X0: $tType] : $o ).

tff(pred_def_63,type,
    dense_order: 
      !>[X0: $tType] : $o ).

tff(pred_def_64,type,
    comm_semiring_0: 
      !>[X0: $tType] : $o ).

tff(pred_def_65,type,
    comm_semiring_1: 
      !>[X0: $tType] : $o ).

tff(pred_def_66,type,
    linordered_idom: 
      !>[X0: $tType] : $o ).

tff(pred_def_67,type,
    linordered_ring: 
      !>[X0: $tType] : $o ).

tff(pred_def_68,type,
    semiring_modulo: 
      !>[X0: $tType] : $o ).

tff(pred_def_69,type,
    comm_monoid_add: 
      !>[X0: $tType] : $o ).

tff(pred_def_70,type,
    semiring_parity: 
      !>[X0: $tType] : $o ).

tff(pred_def_71,type,
    ordered_ring_abs: 
      !>[X0: $tType] : $o ).

tff(pred_def_72,type,
    ordered_semiring: 
      !>[X0: $tType] : $o ).

tff(pred_def_73,type,
    linordered_field: 
      !>[X0: $tType] : $o ).

tff(pred_def_74,type,
    ab_semigroup_add: 
      !>[X0: $tType] : $o ).

tff(pred_def_75,type,
    comm_monoid_diff: 
      !>[X0: $tType] : $o ).

tff(pred_def_76,type,
    comm_monoid_mult: 
      !>[X0: $tType] : $o ).

tff(pred_def_77,type,
    algebraic_semidom: 
      !>[X0: $tType] : $o ).

tff(pred_def_78,type,
    semiring_1_cancel: 
      !>[X0: $tType] : $o ).

tff(pred_def_79,type,
    ab_semigroup_mult: 
      !>[X0: $tType] : $o ).

tff(pred_def_80,type,
    bounded_lattice: 
      !>[X0: $tType] : $o ).

tff(pred_def_81,type,
    distrib_lattice: 
      !>[X0: $tType] : $o ).

tff(pred_def_82,type,
    semilattice_inf: 
      !>[X0: $tType] : $o ).

tff(pred_def_83,type,
    semilattice_sup: 
      !>[X0: $tType] : $o ).

tff(pred_def_84,type,
    dense_linorder: 
      !>[X0: $tType] : $o ).

tff(pred_def_85,type,
    linordered_semidom: 
      !>[X0: $tType] : $o ).

tff(pred_def_86,type,
    ordered_semiring_0: 
      !>[X0: $tType] : $o ).

tff(pred_def_87,type,
    real_Vector_banach: 
      !>[X0: $tType] : $o ).

tff(pred_def_88,type,
    linordered_semiring: 
      !>[X0: $tType] : $o ).

tff(pred_def_89,type,
    comple9053668089753744459l_ccpo: 
      !>[X0: $tType] : $o ).

tff(pred_def_90,type,
    finite8700451911770168679attice: 
      !>[X0: $tType] : $o ).

tff(pred_def_91,type,
    cancel_semigroup_add: 
      !>[X0: $tType] : $o ).

tff(pred_def_92,type,
    ordered_ab_group_add: 
      !>[X0: $tType] : $o ).

tff(pred_def_93,type,
    linord6961819062388156250ring_1: 
      !>[X0: $tType] : $o ).

tff(pred_def_94,type,
    ordere2520102378445227354miring: 
      !>[X0: $tType] : $o ).

tff(pred_def_95,type,
    topological_t1_space: 
      !>[X0: $tType] : $o ).

tff(pred_def_96,type,
    topological_t2_space: 
      !>[X0: $tType] : $o ).

tff(pred_def_97,type,
    topological_t3_space: 
      !>[X0: $tType] : $o ).

tff(pred_def_98,type,
    topological_t4_space: 
      !>[X0: $tType] : $o ).

tff(pred_def_99,type,
    bit_semiring_bits: 
      !>[X0: $tType] : $o ).

tff(pred_def_100,type,
    bounded_lattice_bot: 
      !>[X0: $tType] : $o ).

tff(pred_def_101,type,
    comm_s4317794764714335236cancel: 
      !>[X0: $tType] : $o ).

tff(pred_def_102,type,
    linord4710134922213307826strict: 
      !>[X0: $tType] : $o ).

tff(pred_def_103,type,
    cancel1802427076303600483id_add: 
      !>[X0: $tType] : $o ).

tff(pred_def_104,type,
    topolo6943815403480290642id_add: 
      !>[X0: $tType] : $o ).

tff(pred_def_105,type,
    real_V7773925162809079976_field: 
      !>[X0: $tType] : $o ).

tff(pred_def_106,type,
    ring_15535105094025558882visors: 
      !>[X0: $tType] : $o ).

tff(pred_def_107,type,
    cancel2418104881723323429up_add: 
      !>[X0: $tType] : $o ).

tff(pred_def_108,type,
    linord5086331880401160121up_add: 
      !>[X0: $tType] : $o ).

tff(pred_def_109,type,
    ordere6911136660526730532id_add: 
      !>[X0: $tType] : $o ).

tff(pred_def_110,type,
    topolo1898628316856586783d_mult: 
      !>[X0: $tType] : $o ).

tff(pred_def_111,type,
    real_V4867850818363320053vector: 
      !>[X0: $tType] : $o ).

tff(pred_def_112,type,
    archim2362893244070406136eiling: 
      !>[X0: $tType] : $o ).

tff(pred_def_113,type,
    ordere166539214618696060dd_abs: 
      !>[X0: $tType] : $o ).

tff(pred_def_114,type,
    ordere6658533253407199908up_add: 
      !>[X0: $tType] : $o ).

tff(pred_def_115,type,
    topolo1287966508704411220up_add: 
      !>[X0: $tType] : $o ).

tff(pred_def_116,type,
    real_V7819770556892013058_space: 
      !>[X0: $tType] : $o ).

tff(pred_def_117,type,
    semiri3467727345109120633visors: 
      !>[X0: $tType] : $o ).

tff(pred_def_118,type,
    boolea8198339166811842893lgebra: 
      !>[X0: $tType] : $o ).

tff(pred_def_119,type,
    linord8928482502909563296strict: 
      !>[X0: $tType] : $o ).

tff(pred_def_120,type,
    topolo8386298272705272623_space: 
      !>[X0: $tType] : $o ).

tff(pred_def_121,type,
    topolo7287701948861334536_space: 
      !>[X0: $tType] : $o ).

tff(pred_def_122,type,
    topolo4211221413907600880p_mult: 
      !>[X0: $tType] : $o ).

tff(pred_def_123,type,
    real_V8037385150606011577_space: 
      !>[X0: $tType] : $o ).

tff(pred_def_124,type,
    real_V2191834092415804123ebra_1: 
      !>[X0: $tType] : $o ).

tff(pred_def_125,type,
    linord181362715937106298miring: 
      !>[X0: $tType] : $o ).

tff(pred_def_126,type,
    semiri2026040879449505780visors: 
      !>[X0: $tType] : $o ).

tff(pred_def_127,type,
    topolo2564578578187576103pology: 
      !>[X0: $tType] : $o ).

tff(pred_def_128,type,
    bit_ri3973907225187159222ations: 
      !>[X0: $tType] : $o ).

tff(pred_def_129,type,
    comple6319245703460814977attice: 
      !>[X0: $tType] : $o ).

tff(pred_def_130,type,
    linord4140545234300271783up_add: 
      !>[X0: $tType] : $o ).

tff(pred_def_131,type,
    topolo5987344860129210374id_add: 
      !>[X0: $tType] : $o ).

tff(pred_def_132,type,
    unboun7993243217541854897norder: 
      !>[X0: $tType] : $o ).

tff(pred_def_133,type,
    linord715952674999750819strict: 
      !>[X0: $tType] : $o ).

tff(pred_def_134,type,
    archim462609752435547400_field: 
      !>[X0: $tType] : $o ).

tff(pred_def_135,type,
    comple5582772986160207858norder: 
      !>[X0: $tType] : $o ).

tff(pred_def_136,type,
    topolo4987421752381908075d_mult: 
      !>[X0: $tType] : $o ).

tff(pred_def_137,type,
    real_V5047593784448816457lgebra: 
      !>[X0: $tType] : $o ).

tff(pred_def_138,type,
    bounde4346867609351753570nf_top: 
      !>[X0: $tType] : $o ).

tff(pred_def_139,type,
    bounde4967611905675639751up_bot: 
      !>[X0: $tType] : $o ).

tff(pred_def_140,type,
    real_V3459762299906320749_field: 
      !>[X0: $tType] : $o ).

tff(pred_def_141,type,
    topolo8865339358273720382pology: 
      !>[X0: $tType] : $o ).

tff(pred_def_142,type,
    topolo1944317154257567458pology: 
      !>[X0: $tType] : $o ).

tff(pred_def_143,type,
    topolo4958980785337419405_space: 
      !>[X0: $tType] : $o ).

tff(pred_def_144,type,
    euclid3725896446679973847miring: 
      !>[X0: $tType] : $o ).

tff(pred_def_145,type,
    canoni5634975068530333245id_add: 
      !>[X0: $tType] : $o ).

tff(pred_def_146,type,
    ordere8940638589300402666id_add: 
      !>[X0: $tType] : $o ).

tff(pred_def_147,type,
    strict7427464778891057005id_add: 
      !>[X0: $tType] : $o ).

tff(pred_def_148,type,
    real_V822414075346904944vector: 
      !>[X0: $tType] : $o ).

tff(pred_def_149,type,
    linord2810124833399127020strict: 
      !>[X0: $tType] : $o ).

tff(pred_def_150,type,
    bit_se359711467146920520ations: 
      !>[X0: $tType] : $o ).

tff(pred_def_151,type,
    ordere2412721322843649153imp_le: 
      !>[X0: $tType] : $o ).

tff(pred_def_152,type,
    ordere580206878836729694up_add: 
      !>[X0: $tType] : $o ).

tff(pred_def_153,type,
    ordere1170586879665033532d_diff: 
      !>[X0: $tType] : $o ).

tff(pred_def_154,type,
    strict9044650504122735259up_add: 
      !>[X0: $tType] : $o ).

tff(pred_def_155,type,
    real_V5355595471888546746vector: 
      !>[X0: $tType] : $o ).

tff(pred_def_156,type,
    real_V4412858255891104859lgebra: 
      !>[X0: $tType] : $o ).

tff(pred_def_157,type,
    semiri6575147826004484403cancel: 
      !>[X0: $tType] : $o ).

tff(pred_def_158,type,
    euclid8851590272496341667cancel: 
      !>[X0: $tType] : $o ).

tff(pred_def_159,type,
    real_V2822296259951069270ebra_1: 
      !>[X0: $tType] : $o ).

tff(pred_def_160,type,
    unique1627219031080169319umeral: 
      !>[X0: $tType] : $o ).

tff(pred_def_161,type,
    comple592849572758109894attice: 
      !>[X0: $tType] : $o ).

tff(pred_def_162,type,
    real_V8999393235501362500lgebra: 
      !>[X0: $tType] : $o ).

tff(pred_def_163,type,
    topolo3112930676232923870pology: 
      !>[X0: $tType] : $o ).

tff(pred_def_164,type,
    euclid4440199948858584721cancel: 
      !>[X0: $tType] : $o ).

tff(pred_def_165,type,
    euclid3128863361964157862miring: 
      !>[X0: $tType] : $o ).

tff(pred_def_166,type,
    topolo8458572112393995274pology: 
      !>[X0: $tType] : $o ).

tff(pred_def_167,type,
    ordere1937475149494474687imp_le: 
      !>[X0: $tType] : $o ).

tff(pred_def_168,type,
    condit5016429287641298734tinuum: 
      !>[X0: $tType] : $o ).

tff(pred_def_169,type,
    euclid8789492081693882211th_nat: 
      !>[X0: $tType] : $o ).

tff(pred_def_170,type,
    euclid5411537665997757685th_nat: 
      !>[X0: $tType] : $o ).

tff(pred_def_171,type,
    counta3822494911875563373attice: 
      !>[X0: $tType] : $o ).

tff(pred_def_172,type,
    semiri1453513574482234551roduct: 
      !>[X0: $tType] : $o ).

tff(pred_def_173,type,
    bit_un5681908812861735899ations: 
      !>[X0: $tType] : $o ).

tff(pred_def_174,type,
    condit1219197933456340205attice: 
      !>[X0: $tType] : $o ).

tff(pred_def_175,type,
    counta4013691401010221786attice: 
      !>[X0: $tType] : $o ).

tff(pred_def_176,type,
    condit6923001295902523014norder: 
      !>[X0: $tType] : $o ).

tff(pred_def_177,type,
    bNF_Cardinal_cfinite: 
      !>[X0: $tType] : ( set(product_prod(X0,X0)) > $o ) ).

tff(pred_def_178,type,
    bNF_Ca4139267488887388095finite: 
      !>[X0: $tType] : ( set(product_prod(X0,X0)) > $o ) ).

tff(pred_def_179,type,
    bNF_Ca8970107618336181345der_on: 
      !>[X0: $tType] : ( ( set(X0) * set(product_prod(X0,X0)) ) > $o ) ).

tff(pred_def_180,type,
    bNF_Ca7293521722713021262ofinal: 
      !>[X0: $tType] : ( ( set(X0) * set(product_prod(X0,X0)) ) > $o ) ).

tff(pred_def_181,type,
    bNF_Ca7133664381575040944arCard: 
      !>[X0: $tType] : ( set(product_prod(X0,X0)) > $o ) ).

tff(pred_def_182,type,
    bNF_Ca3754400796208372196lChain: 
      !>[X0: $tType,X1: $tType] : ( ( set(product_prod(X0,X0)) * fun(X0,X1) ) > $o ) ).

tff(pred_def_183,type,
    bNF_Gr1419584066657907630d_pred: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * set(product_prod(X1,X1)) * fun(X0,X1) ) > $o ) ).

tff(pred_def_184,type,
    bNF_Wellorder_compat: 
      !>[X0: $tType,X1: $tType] : ( ( set(product_prod(X0,X0)) * set(product_prod(X1,X1)) * fun(X0,X1) ) > $o ) ).

tff(pred_def_185,type,
    bNF_Wellorder_embed: 
      !>[X0: $tType,X1: $tType] : ( ( set(product_prod(X0,X0)) * set(product_prod(X1,X1)) * fun(X0,X1) ) > $o ) ).

tff(pred_def_186,type,
    bNF_Wellorder_embedS: 
      !>[X0: $tType,X1: $tType] : ( ( set(product_prod(X0,X0)) * set(product_prod(X1,X1)) * fun(X0,X1) ) > $o ) ).

tff(pred_def_187,type,
    bNF_Wellorder_iso: 
      !>[X0: $tType,X1: $tType] : ( ( set(product_prod(X0,X0)) * set(product_prod(X1,X1)) * fun(X0,X1) ) > $o ) ).

tff(pred_def_188,type,
    bNF_Wellorder_wo_rel: 
      !>[X0: $tType] : ( set(product_prod(X0,X0)) > $o ) ).

tff(pred_def_189,type,
    bNF_We4791949203932849705sMinim: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * set(X0) * X0 ) > $o ) ).

tff(pred_def_190,type,
    bit_se6407376104438227557le_bit: 
      !>[X0: $tType] : ( ( itself(X0) * nat ) > $o ) ).

tff(pred_def_191,type,
    boolea2506097494486148201lgebra: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,X0)) * fun(X0,fun(X0,X0)) * fun(X0,X0) * X0 * X0 ) > $o ) ).

tff(pred_def_192,type,
    boolea3799213064322606851m_diff: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,X0)) * fun(X0,fun(X0,X0)) * fun(X0,X0) * X0 * X0 * fun(X0,fun(X0,X0)) ) > $o ) ).

tff(pred_def_193,type,
    comple1908693960933563346ssible: 
      !>[X0: $tType] : ( ( fun(set(X0),X0) * fun(X0,fun(X0,$o)) * fun(X0,$o) ) > $o ) ).

tff(pred_def_194,type,
    comple1602240252501008431_chain: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,$o)) * set(X0) ) > $o ) ).

tff(pred_def_195,type,
    comple7038119648293358887notone: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,fun(X0,$o)) * fun(X1,fun(X1,$o)) * fun(X0,X1) ) > $o ) ).

tff(pred_def_196,type,
    condit941137186595557371_above: 
      !>[X0: $tType] : ( set(X0) > $o ) ).

tff(pred_def_197,type,
    condit1013018076250108175_below: 
      !>[X0: $tType] : ( set(X0) > $o ) ).

tff(pred_def_198,type,
    countable_countable: 
      !>[X0: $tType] : ( set(X0) > $o ) ).

tff(pred_def_199,type,
    differentiable: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * filter(X0) ) > $o ) ).

tff(pred_def_200,type,
    has_derivative: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * fun(X0,X1) * filter(X0) ) > $o ) ).

tff(pred_def_201,type,
    has_field_derivative: 
      !>[X0: $tType] : ( ( fun(X0,X0) * X0 * filter(X0) ) > $o ) ).

tff(pred_def_202,type,
    eucl_rel_int: ( int * int * product_prod(int,int) ) > $o ).

tff(pred_def_203,type,
    unique5940410009612947441es_aux: 
      !>[X0: $tType] : ( product_prod(X0,X0) > $o ) ).

tff(pred_def_204,type,
    equiv_congruent: 
      !>[X0: $tType,X1: $tType] : ( ( set(product_prod(X0,X0)) * fun(X0,X1) ) > $o ) ).

tff(pred_def_205,type,
    equiv_congruent2: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( set(product_prod(X0,X0)) * set(product_prod(X1,X1)) * fun(X0,fun(X1,X2)) ) > $o ) ).

tff(pred_def_206,type,
    equiv_equiv: 
      !>[X0: $tType] : ( ( set(X0) * set(product_prod(X0,X0)) ) > $o ) ).

tff(pred_def_207,type,
    eventually: 
      !>[X0: $tType] : ( ( fun(X0,$o) * filter(X0) ) > $o ) ).

tff(pred_def_208,type,
    filterlim: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * filter(X1) * filter(X0) ) > $o ) ).

tff(pred_def_209,type,
    frequently: 
      !>[X0: $tType] : ( ( fun(X0,$o) * filter(X0) ) > $o ) ).

tff(pred_def_210,type,
    finite6289374366891150609ommute: 
      !>[X0: $tType,X1: $tType] : ( fun(X0,fun(X1,X1)) > $o ) ).

tff(pred_def_211,type,
    finite4664212375090638736ute_on: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,fun(X1,X1)) ) > $o ) ).

tff(pred_def_212,type,
    finite673082921795544331dem_on: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,fun(X1,X1)) ) > $o ) ).

tff(pred_def_213,type,
    finite4980608107308702382axioms: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,fun(X1,X1)) ) > $o ) ).

tff(pred_def_214,type,
    finite_folding: 
      !>[X0: $tType,X1: $tType] : ( fun(X0,fun(X1,X1)) > $o ) ).

tff(pred_def_215,type,
    finite_folding_idem: 
      !>[X0: $tType,X1: $tType] : ( fun(X0,fun(X1,X1)) > $o ) ).

tff(pred_def_216,type,
    finite7837460588564673216axioms: 
      !>[X0: $tType,X1: $tType] : ( fun(X0,fun(X1,X1)) > $o ) ).

tff(pred_def_217,type,
    finite1890593828518410140dem_on: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,fun(X1,X1)) ) > $o ) ).

tff(pred_def_218,type,
    finite6916993218817215295axioms: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,fun(X1,X1)) ) > $o ) ).

tff(pred_def_219,type,
    finite_folding_on: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,fun(X1,X1)) ) > $o ) ).

tff(pred_def_220,type,
    bij_betw: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * set(X0) * set(X1) ) > $o ) ).

tff(pred_def_221,type,
    inj_on: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * set(X0) ) > $o ) ).

tff(pred_def_222,type,
    strict_mono_on: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * set(X0) ) > $o ) ).

tff(pred_def_223,type,
    fun_reduction_pair: 
      !>[X0: $tType] : ( product_prod(set(product_prod(X0,X0)),set(product_prod(X0,X0))) > $o ) ).

tff(pred_def_224,type,
    bounde6485984586167503788ce_set: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,X0)) * X0 * X0 * fun(X0,X0) ) > $o ) ).

tff(pred_def_225,type,
    comm_monoid: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,X0)) * X0 ) > $o ) ).

tff(pred_def_226,type,
    group: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,X0)) * X0 * fun(X0,X0) ) > $o ) ).

tff(pred_def_227,type,
    monoid: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,X0)) * X0 ) > $o ) ).

tff(pred_def_228,type,
    nO_MATCH: 
      !>[X0: $tType,X1: $tType] : ( ( X0 * X1 ) > $o ) ).

tff(pred_def_229,type,
    uniq: 
      !>[X0: $tType] : ( fun(X0,$o) > $o ) ).

tff(pred_def_230,type,
    semilattice_neutr: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,X0)) * X0 ) > $o ) ).

tff(pred_def_231,type,
    semila1105856199041335345_order: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,X0)) * X0 * fun(X0,fun(X0,$o)) * fun(X0,fun(X0,$o)) ) > $o ) ).

tff(pred_def_232,type,
    lattic4895041142388067077er_set: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,X0)) * fun(X0,fun(X0,$o)) * fun(X0,fun(X0,$o)) ) > $o ) ).

tff(pred_def_233,type,
    lattic149705377957585745ce_set: 
      !>[X0: $tType] : ( fun(X0,fun(X0,X0)) > $o ) ).

tff(pred_def_234,type,
    quotient: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,fun(X0,$o)) * fun(X0,X1) * fun(X1,X0) * fun(X0,fun(X1,$o)) ) > $o ) ).

tff(pred_def_235,type,
    bfun: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * filter(X0) ) > $o ) ).

tff(pred_def_236,type,
    zfun: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * filter(X0) ) > $o ) ).

tff(pred_def_237,type,
    distinct: 
      !>[X0: $tType] : ( list(X0) > $o ) ).

tff(pred_def_238,type,
    folding_insort_key: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,fun(X0,$o)) * fun(X0,fun(X0,$o)) * set(X1) * fun(X1,X0) ) > $o ) ).

tff(pred_def_239,type,
    list_ex: 
      !>[X0: $tType] : ( ( fun(X0,$o) * list(X0) ) > $o ) ).

tff(pred_def_240,type,
    sorted_wrt: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,$o)) * list(X0) ) > $o ) ).

tff(pred_def_241,type,
    module: 
      !>[X0: $tType,X1: $tType] : ( fun(X0,fun(X1,X1)) > $o ) ).

tff(pred_def_242,type,
    dependent: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,fun(X1,X1)) * set(X1) ) > $o ) ).

tff(pred_def_243,type,
    neg_numeral_is_num: 
      !>[X0: $tType] : ( X0 > $o ) ).

tff(pred_def_244,type,
    ring_1_iszero: 
      !>[X0: $tType] : ( X0 > $o ) ).

tff(pred_def_245,type,
    order_inf_continuous: 
      !>[X0: $tType,X1: $tType] : ( fun(X0,X1) > $o ) ).

tff(pred_def_246,type,
    order_sup_continuous: 
      !>[X0: $tType,X1: $tType] : ( fun(X0,X1) > $o ) ).

tff(pred_def_247,type,
    order_679001287576687338der_on: 
      !>[X0: $tType] : ( ( set(X0) * set(product_prod(X0,X0)) ) > $o ) ).

tff(pred_def_248,type,
    order_ofilter: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * set(X0) ) > $o ) ).

tff(pred_def_249,type,
    order_7125193373082350890der_on: 
      !>[X0: $tType] : ( ( set(X0) * set(product_prod(X0,X0)) ) > $o ) ).

tff(pred_def_250,type,
    order_preorder_on: 
      !>[X0: $tType] : ( ( set(X0) * set(product_prod(X0,X0)) ) > $o ) ).

tff(pred_def_251,type,
    order_well_order_on: 
      !>[X0: $tType] : ( ( set(X0) * set(product_prod(X0,X0)) ) > $o ) ).

tff(pred_def_252,type,
    order_antimono: 
      !>[X0: $tType,X1: $tType] : ( fun(X0,X1) > $o ) ).

tff(pred_def_253,type,
    order_strict_mono: 
      !>[X0: $tType,X1: $tType] : ( fun(X0,X1) > $o ) ).

tff(pred_def_254,type,
    ordering_top: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,$o)) * fun(X0,fun(X0,$o)) * X0 ) > $o ) ).

tff(pred_def_255,type,
    vanishes: fun(nat,rat) > $o ).

tff(pred_def_256,type,
    real_V2442710119149674383linear: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( fun(X0,fun(X1,X2)) > $o ) ).

tff(pred_def_257,type,
    real_V3181309239436604168linear: 
      !>[X0: $tType,X1: $tType] : ( fun(X0,X1) > $o ) ).

tff(pred_def_258,type,
    real_V4916620083959148203axioms: 
      !>[X0: $tType,X1: $tType] : ( fun(X0,X1) > $o ) ).

tff(pred_def_259,type,
    real_V358717886546972837endent: 
      !>[X0: $tType] : ( set(X0) > $o ) ).

tff(pred_def_260,type,
    real_Vector_linear: 
      !>[X0: $tType,X1: $tType] : ( fun(X0,X1) > $o ) ).

tff(pred_def_261,type,
    real_Vector_subspace: 
      !>[X0: $tType] : ( set(X0) > $o ) ).

tff(pred_def_262,type,
    antisym: 
      !>[X0: $tType] : ( set(product_prod(X0,X0)) > $o ) ).

tff(pred_def_263,type,
    irrefl: 
      !>[X0: $tType] : ( set(product_prod(X0,X0)) > $o ) ).

tff(pred_def_264,type,
    refl_on: 
      !>[X0: $tType] : ( ( set(X0) * set(product_prod(X0,X0)) ) > $o ) ).

tff(pred_def_265,type,
    single_valued: 
      !>[X0: $tType,X1: $tType] : ( set(product_prod(X0,X1)) > $o ) ).

tff(pred_def_266,type,
    sym: 
      !>[X0: $tType] : ( set(product_prod(X0,X0)) > $o ) ).

tff(pred_def_267,type,
    total_on: 
      !>[X0: $tType] : ( ( set(X0) * set(product_prod(X0,X0)) ) > $o ) ).

tff(pred_def_268,type,
    trans: 
      !>[X0: $tType] : ( set(product_prod(X0,X0)) > $o ) ).

tff(pred_def_269,type,
    transp: 
      !>[X0: $tType] : ( fun(X0,fun(X0,$o)) > $o ) ).

tff(pred_def_270,type,
    algebr8660921524188924756oprime: 
      !>[X0: $tType] : ( ( X0 * X0 ) > $o ) ).

tff(pred_def_271,type,
    summable: 
      !>[X0: $tType] : ( fun(nat,X0) > $o ) ).

tff(pred_def_272,type,
    sums: 
      !>[X0: $tType] : ( ( fun(nat,X0) * X0 ) > $o ) ).

tff(pred_def_273,type,
    is_empty: 
      !>[X0: $tType] : ( set(X0) > $o ) ).

tff(pred_def_274,type,
    is_singleton: 
      !>[X0: $tType] : ( set(X0) > $o ) ).

tff(pred_def_275,type,
    pairwise: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,$o)) * set(X0) ) > $o ) ).

tff(pred_def_276,type,
    topolo3448309680560233919inuous: 
      !>[X0: $tType,X1: $tType] : ( ( filter(X0) * fun(X0,X1) ) > $o ) ).

tff(pred_def_277,type,
    topolo81223032696312382ous_on: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,X1) ) > $o ) ).

tff(pred_def_278,type,
    topological_monoseq: 
      !>[X0: $tType] : ( fun(nat,X0) > $o ) ).

tff(pred_def_279,type,
    topolo1002775350975398744n_open: 
      !>[X0: $tType] : ( set(X0) > $o ) ).

tff(pred_def_280,type,
    topolo7761053866217962861closed: 
      !>[X0: $tType] : ( set(X0) > $o ) ).

tff(pred_def_281,type,
    topolo2193935891317330818ompact: 
      !>[X0: $tType] : ( set(X0) > $o ) ).

tff(pred_def_282,type,
    topolo1966860045006549960nected: 
      !>[X0: $tType] : ( set(X0) > $o ) ).

tff(pred_def_283,type,
    topolo6863149650580417670ergent: 
      !>[X0: $tType] : ( fun(nat,X0) > $o ) ).

tff(pred_def_284,type,
    topolo3814608138187158403Cauchy: 
      !>[X0: $tType] : ( fun(nat,X0) > $o ) ).

tff(pred_def_285,type,
    topolo6773858410816713723filter: 
      !>[X0: $tType] : ( filter(X0) > $o ) ).

tff(pred_def_286,type,
    topolo2479028161051973599mplete: 
      !>[X0: $tType] : ( set(X0) > $o ) ).

tff(pred_def_287,type,
    topolo6688025880775521714ounded: 
      !>[X0: $tType] : ( set(X0) > $o ) ).

tff(pred_def_288,type,
    bi_total: 
      !>[X0: $tType,X1: $tType] : ( fun(X0,fun(X1,$o)) > $o ) ).

tff(pred_def_289,type,
    left_total: 
      !>[X0: $tType,X1: $tType] : ( fun(X0,fun(X1,$o)) > $o ) ).

tff(pred_def_290,type,
    type_definition: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * fun(X1,X0) * set(X1) ) > $o ) ).

tff(pred_def_291,type,
    vEBT_V5917875025757280293ildren: ( nat * list(vEBT_VEBT) * nat ) > $o ).

tff(pred_def_292,type,
    vEBT_VEBT_membermima: ( vEBT_VEBT * nat ) > $o ).

tff(pred_def_293,type,
    vEBT_V5719532721284313246member: ( vEBT_VEBT * nat ) > $o ).

tff(pred_def_294,type,
    vEBT_VEBT_valid: ( vEBT_VEBT * nat ) > $o ).

tff(pred_def_295,type,
    vEBT_invar_vebt: ( vEBT_VEBT * nat ) > $o ).

tff(pred_def_296,type,
    vEBT_VEBT_minNull: vEBT_VEBT > $o ).

tff(pred_def_297,type,
    vEBT_VEBT_greater: ( option(nat) * option(nat) ) > $o ).

tff(pred_def_298,type,
    vEBT_VEBT_less: ( option(nat) * option(nat) ) > $o ).

tff(pred_def_299,type,
    vEBT_VEBT_lesseq: ( option(nat) * option(nat) ) > $o ).

tff(pred_def_300,type,
    vEBT_VEBT_max_in_set: ( set(nat) * nat ) > $o ).

tff(pred_def_301,type,
    vEBT_VEBT_min_in_set: ( set(nat) * nat ) > $o ).

tff(pred_def_302,type,
    vEBT_is_pred_in_set: ( set(nat) * nat * nat ) > $o ).

tff(pred_def_303,type,
    vEBT_is_succ_in_set: ( set(nat) * nat * nat ) > $o ).

tff(pred_def_304,type,
    vector228606692882904576axioms: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,fun(X1,X1)) * set(X1) ) > $o ) ).

tff(pred_def_305,type,
    vector_vector_space: 
      !>[X0: $tType,X1: $tType] : ( fun(X0,fun(X1,X1)) > $o ) ).

tff(pred_def_306,type,
    max_extp: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,$o)) * set(X0) * set(X0) ) > $o ) ).

tff(pred_def_307,type,
    wf: 
      !>[X0: $tType] : ( set(product_prod(X0,X0)) > $o ) ).

tff(pred_def_308,type,
    chain_subset: 
      !>[X0: $tType] : ( set(set(X0)) > $o ) ).

tff(pred_def_309,type,
    pred_maxchain: 
      !>[X0: $tType] : ( ( set(X0) * fun(X0,fun(X0,$o)) * set(X0) ) > $o ) ).

tff(pred_def_310,type,
    member: 
      !>[X0: $tType] : ( ( X0 * set(X0) ) > $o ) ).

tff(pred_def_311,type,
    ':=': 
      !>[X0: $tType] : ( ( X0 * X0 ) > $o ) ).

tff(pred_def_312,type,
    sP163: ( $o * $o ) > $o ).

tff(pred_def_313,type,
    sP164: ( $o * $o * $o * $o ) > $o ).

tff(pred_def_314,type,
    sP165: $o > $o ).

tff(pred_def_315,type,
    sP166: $o > $o ).

tff(pred_def_316,type,
    sP167: $o > $o ).

tff(pred_def_317,type,
    sK185: vEBT_VEBT > $o ).

tff(pred_def_318,type,
    sK186: vEBT_VEBT > $o ).

tff(pred_def_319,type,
    sK189: vEBT_VEBT > $o ).

tff(pred_def_320,type,
    sK190: vEBT_VEBT > $o ).

tff(pred_def_321,type,
    sK191: vEBT_VEBT > $o ).

tff(pred_def_322,type,
    sK192: vEBT_VEBT > $o ).

tff(pred_def_323,type,
    sK193: vEBT_VEBT > $o ).

tff(pred_def_324,type,
    sK194: vEBT_VEBT > $o ).

tff(pred_def_325,type,
    sP222: $o > $o ).

tff(pred_def_326,type,
    sP223: $o > $o ).

tff(pred_def_327,type,
    sP225: $o > $o ).

tff(pred_def_328,type,
    sP226: $o > $o ).

tff(pred_def_329,type,
    sP247: 
      !>[X0: $tType] : ( ( X0 * X0 * X0 ) > $o ) ).

tff(pred_def_330,type,
    sP248: 
      !>[X0: $tType] : ( ( X0 * X0 * X0 ) > $o ) ).

tff(pred_def_331,type,
    sP349: ( $o * $o ) > $o ).

tff(pred_def_332,type,
    sP355: 
      !>[X0: $tType] : ( ( X0 * X0 ) > $o ) ).

tff(pred_def_333,type,
    sP356: 
      !>[X0: $tType] : ( ( X0 * fun(X0,$o) * fun(X0,$o) * fun(X0,$o) * fun(X0,$o) ) > $o ) ).

tff(pred_def_334,type,
    sP360: 
      !>[X0: $tType] : ( ( X0 * X0 ) > $o ) ).

tff(pred_def_335,type,
    sP361: 
      !>[X0: $tType] : ( ( X0 * fun(X0,$o) * fun(X0,$o) * fun(X0,$o) * fun(X0,$o) ) > $o ) ).

tff(pred_def_336,type,
    sP370: 
      !>[X0: $tType] : ( ( X0 * X0 ) > $o ) ).

tff(pred_def_337,type,
    sP371: 
      !>[X0: $tType] : ( ( X0 * fun(X0,$o) * fun(X0,$o) * fun(X0,$o) * fun(X0,$o) ) > $o ) ).

tff(pred_def_338,type,
    sP375: 
      !>[X0: $tType] : ( ( X0 * X0 ) > $o ) ).

tff(pred_def_339,type,
    sP376: 
      !>[X0: $tType] : ( ( X0 * fun(X0,$o) * fun(X0,$o) * fun(X0,$o) * fun(X0,$o) ) > $o ) ).

tff(pred_def_340,type,
    sP399: ( $o * int ) > $o ).

tff(pred_def_341,type,
    sP400: ( $o * int ) > $o ).

tff(pred_def_342,type,
    sP511: ( int * int * int * int * fun(int,$o) ) > $o ).

tff(pred_def_343,type,
    sK550: vEBT_VEBT > $o ).

tff(pred_def_344,type,
    sK551: vEBT_VEBT > $o ).

tff(pred_def_345,type,
    sK570: vEBT_VEBT > $o ).

tff(pred_def_346,type,
    sK571: vEBT_VEBT > $o ).

tff(pred_def_347,type,
    sK582: vEBT_VEBT > $o ).

tff(pred_def_348,type,
    sK583: vEBT_VEBT > $o ).

tff(pred_def_349,type,
    sK591: ( vEBT_VEBT * option(nat) ) > $o ).

tff(pred_def_350,type,
    sK592: ( vEBT_VEBT * option(nat) ) > $o ).

tff(pred_def_351,type,
    sP597: ( nat * vEBT_VEBT ) > $o ).

tff(pred_def_352,type,
    sP598: $o > $o ).

tff(pred_def_353,type,
    sP599: $o > $o ).

tff(pred_def_354,type,
    sK604: ( vEBT_VEBT * option(nat) ) > $o ).

tff(pred_def_355,type,
    sK605: ( vEBT_VEBT * option(nat) ) > $o ).

tff(pred_def_356,type,
    sP611: ( nat * nat * vEBT_VEBT ) > $o ).

tff(pred_def_357,type,
    sP612: $o > $o ).

tff(pred_def_358,type,
    sP613: $o > $o ).

tff(pred_def_359,type,
    sP620: ( $o * vEBT_VEBT ) > $o ).

tff(pred_def_360,type,
    sP621: ( $o * vEBT_VEBT ) > $o ).

tff(pred_def_361,type,
    sP622: $o > $o ).

tff(pred_def_362,type,
    sK623: vEBT_VEBT > $o ).

tff(pred_def_363,type,
    sK624: vEBT_VEBT > $o ).

tff(pred_def_364,type,
    sP625: ( $o * vEBT_VEBT ) > $o ).

tff(pred_def_365,type,
    sP633: $o > $o ).

tff(pred_def_366,type,
    sK641: product_prod(vEBT_VEBT,nat) > $o ).

tff(pred_def_367,type,
    sK642: product_prod(vEBT_VEBT,nat) > $o ).

tff(pred_def_368,type,
    sK649: product_prod(vEBT_VEBT,nat) > $o ).

tff(pred_def_369,type,
    sK650: product_prod(vEBT_VEBT,nat) > $o ).

tff(pred_def_370,type,
    sK661: product_prod(vEBT_VEBT,nat) > $o ).

tff(pred_def_371,type,
    sK662: product_prod(vEBT_VEBT,nat) > $o ).

tff(pred_def_372,type,
    sK663: product_prod(vEBT_VEBT,nat) > $o ).

tff(pred_def_373,type,
    sK664: product_prod(vEBT_VEBT,nat) > $o ).

tff(pred_def_374,type,
    sK665: product_prod(vEBT_VEBT,nat) > $o ).

tff(pred_def_375,type,
    sK666: product_prod(vEBT_VEBT,nat) > $o ).

tff(pred_def_376,type,
    sP688: ( nat * $o * $o * product_prod(vEBT_VEBT,nat) ) > $o ).

tff(pred_def_377,type,
    sP689: $o > $o ).

tff(pred_def_378,type,
    sP690: $o > $o ).

tff(pred_def_379,type,
    sP691: $o > $o ).

tff(pred_def_380,type,
    sP692: $o > $o ).

tff(pred_def_381,type,
    sP693: ( product_prod(vEBT_VEBT,nat) * $o ) > $o ).

tff(pred_def_382,type,
    sP694: ( product_prod(vEBT_VEBT,nat) * $o ) > $o ).

tff(pred_def_383,type,
    sP695: ( product_prod(vEBT_VEBT,nat) * $o ) > $o ).

tff(pred_def_384,type,
    sP696: ( product_prod(vEBT_VEBT,nat) * $o ) > $o ).

tff(pred_def_385,type,
    sP697: ( product_prod(vEBT_VEBT,nat) * $o ) > $o ).

tff(pred_def_386,type,
    sP698: ( product_prod(vEBT_VEBT,nat) * $o ) > $o ).

tff(pred_def_387,type,
    sP699: ( product_prod(vEBT_VEBT,nat) * $o ) > $o ).

tff(pred_def_388,type,
    sP700: ( product_prod(vEBT_VEBT,nat) * $o ) > $o ).

tff(pred_def_389,type,
    sP701: ( product_prod(vEBT_VEBT,nat) * $o ) > $o ).

tff(pred_def_390,type,
    sP702: ( product_prod(vEBT_VEBT,nat) * $o ) > $o ).

tff(pred_def_391,type,
    sP703: ( product_prod(vEBT_VEBT,nat) * $o ) > $o ).

tff(pred_def_392,type,
    sP704: ( product_prod(vEBT_VEBT,nat) * $o ) > $o ).

tff(pred_def_393,type,
    sP705: ( product_prod(vEBT_VEBT,nat) * $o ) > $o ).

tff(pred_def_394,type,
    sP706: ( product_prod(vEBT_VEBT,nat) * $o ) > $o ).

tff(pred_def_395,type,
    sP707: ( product_prod(vEBT_VEBT,nat) * $o ) > $o ).

tff(pred_def_396,type,
    sP708: ( product_prod(vEBT_VEBT,nat) * $o ) > $o ).

tff(pred_def_397,type,
    sP709: ( product_prod(vEBT_VEBT,nat) * $o ) > $o ).

tff(pred_def_398,type,
    sP710: ( product_prod(vEBT_VEBT,nat) * $o ) > $o ).

tff(pred_def_399,type,
    sP711: ( product_prod(vEBT_VEBT,nat) * $o ) > $o ).

tff(pred_def_400,type,
    sP712: ( product_prod(vEBT_VEBT,nat) * $o ) > $o ).

tff(pred_def_401,type,
    sP713: ( product_prod(vEBT_VEBT,nat) * $o ) > $o ).

tff(pred_def_402,type,
    sP714: ( product_prod(vEBT_VEBT,nat) * $o ) > $o ).

tff(pred_def_403,type,
    sP715: ( product_prod(vEBT_VEBT,nat) * $o ) > $o ).

tff(pred_def_404,type,
    sP716: ( product_prod(vEBT_VEBT,nat) * $o ) > $o ).

tff(pred_def_405,type,
    sP717: ( product_prod(vEBT_VEBT,nat) * $o ) > $o ).

tff(pred_def_406,type,
    sP718: ( product_prod(vEBT_VEBT,nat) * $o ) > $o ).

tff(pred_def_407,type,
    sP719: ( product_prod(vEBT_VEBT,nat) * $o ) > $o ).

tff(pred_def_408,type,
    sP720: ( product_prod(vEBT_VEBT,nat) * $o ) > $o ).

tff(pred_def_409,type,
    sP721: ( product_prod(vEBT_VEBT,nat) * $o ) > $o ).

tff(pred_def_410,type,
    sP722: ( product_prod(vEBT_VEBT,nat) * $o ) > $o ).

tff(pred_def_411,type,
    sP723: ( product_prod(vEBT_VEBT,nat) * $o ) > $o ).

tff(pred_def_412,type,
    sP724: ( product_prod(vEBT_VEBT,nat) * $o ) > $o ).

tff(pred_def_413,type,
    sP725: ( product_prod(vEBT_VEBT,nat) * $o ) > $o ).

tff(pred_def_414,type,
    sP726: ( product_prod(vEBT_VEBT,nat) * $o ) > $o ).

tff(pred_def_415,type,
    sP727: ( product_prod(vEBT_VEBT,nat) * $o ) > $o ).

tff(pred_def_416,type,
    sP728: ( product_prod(vEBT_VEBT,nat) * $o ) > $o ).

tff(pred_def_417,type,
    sP729: ( product_prod(vEBT_VEBT,nat) * $o ) > $o ).

tff(pred_def_418,type,
    sP730: ( product_prod(vEBT_VEBT,nat) * $o ) > $o ).

tff(pred_def_419,type,
    sP731: ( product_prod(vEBT_VEBT,nat) * $o ) > $o ).

tff(pred_def_420,type,
    sP732: ( product_prod(vEBT_VEBT,nat) * $o ) > $o ).

tff(pred_def_421,type,
    sP733: ( product_prod(vEBT_VEBT,nat) * $o ) > $o ).

tff(pred_def_422,type,
    sP734: ( product_prod(vEBT_VEBT,nat) * $o ) > $o ).

tff(pred_def_423,type,
    sP735: ( product_prod(vEBT_VEBT,nat) * $o ) > $o ).

tff(pred_def_424,type,
    sP736: ( product_prod(vEBT_VEBT,nat) * $o ) > $o ).

tff(pred_def_425,type,
    sP737: ( product_prod(vEBT_VEBT,nat) * $o ) > $o ).

tff(pred_def_426,type,
    sP738: ( product_prod(vEBT_VEBT,nat) * $o ) > $o ).

tff(pred_def_427,type,
    sP739: ( product_prod(vEBT_VEBT,nat) * $o ) > $o ).

tff(pred_def_428,type,
    sP740: ( product_prod(vEBT_VEBT,nat) * $o ) > $o ).

tff(pred_def_429,type,
    sK741: product_prod(vEBT_VEBT,nat) > $o ).

tff(pred_def_430,type,
    sK742: product_prod(vEBT_VEBT,nat) > $o ).

tff(pred_def_431,type,
    sK762: product_prod(vEBT_VEBT,nat) > $o ).

tff(pred_def_432,type,
    sK763: product_prod(vEBT_VEBT,nat) > $o ).

tff(pred_def_433,type,
    sK764: product_prod(vEBT_VEBT,nat) > $o ).

tff(pred_def_434,type,
    sK765: product_prod(vEBT_VEBT,nat) > $o ).

tff(pred_def_435,type,
    sK766: product_prod(vEBT_VEBT,nat) > $o ).

tff(pred_def_436,type,
    sK767: product_prod(vEBT_VEBT,nat) > $o ).

tff(pred_def_437,type,
    sP787: ( nat * $o * $o * product_prod(vEBT_VEBT,nat) ) > $o ).

tff(pred_def_438,type,
    sP788: $o > $o ).

tff(pred_def_439,type,
    sP789: $o > $o ).

tff(pred_def_440,type,
    sP790: $o > $o ).

tff(pred_def_441,type,
    sP791: $o > $o ).

tff(pred_def_442,type,
    sP792: ( product_prod(vEBT_VEBT,nat) * $o ) > $o ).

tff(pred_def_443,type,
    sP793: ( product_prod(vEBT_VEBT,nat) * $o ) > $o ).

tff(pred_def_444,type,
    sP794: ( product_prod(vEBT_VEBT,nat) * $o ) > $o ).

tff(pred_def_445,type,
    sP795: ( product_prod(vEBT_VEBT,nat) * $o ) > $o ).

tff(pred_def_446,type,
    sP796: ( product_prod(vEBT_VEBT,nat) * $o ) > $o ).

tff(pred_def_447,type,
    sP797: ( product_prod(vEBT_VEBT,nat) * $o ) > $o ).

tff(pred_def_448,type,
    sP798: ( product_prod(vEBT_VEBT,nat) * $o ) > $o ).

tff(pred_def_449,type,
    sP799: ( product_prod(vEBT_VEBT,nat) * $o ) > $o ).

tff(pred_def_450,type,
    sP800: ( product_prod(vEBT_VEBT,nat) * $o ) > $o ).

tff(pred_def_451,type,
    sP801: ( product_prod(vEBT_VEBT,nat) * $o ) > $o ).

tff(pred_def_452,type,
    sP802: ( product_prod(vEBT_VEBT,nat) * $o ) > $o ).

tff(pred_def_453,type,
    sP803: ( product_prod(vEBT_VEBT,nat) * $o ) > $o ).

tff(pred_def_454,type,
    sP804: ( product_prod(vEBT_VEBT,nat) * $o ) > $o ).

tff(pred_def_455,type,
    sP805: ( product_prod(vEBT_VEBT,nat) * $o ) > $o ).

tff(pred_def_456,type,
    sP806: ( product_prod(vEBT_VEBT,nat) * $o ) > $o ).

tff(pred_def_457,type,
    sP807: ( product_prod(vEBT_VEBT,nat) * $o ) > $o ).

tff(pred_def_458,type,
    sP808: ( product_prod(vEBT_VEBT,nat) * $o ) > $o ).

tff(pred_def_459,type,
    sP809: ( product_prod(vEBT_VEBT,nat) * $o ) > $o ).

tff(pred_def_460,type,
    sP810: ( product_prod(vEBT_VEBT,nat) * $o ) > $o ).

tff(pred_def_461,type,
    sP811: ( product_prod(vEBT_VEBT,nat) * $o ) > $o ).

tff(pred_def_462,type,
    sP812: ( product_prod(vEBT_VEBT,nat) * $o ) > $o ).

tff(pred_def_463,type,
    sP813: ( product_prod(vEBT_VEBT,nat) * $o ) > $o ).

tff(pred_def_464,type,
    sP814: ( product_prod(vEBT_VEBT,nat) * $o ) > $o ).

tff(pred_def_465,type,
    sP815: ( product_prod(vEBT_VEBT,nat) * $o ) > $o ).

tff(pred_def_466,type,
    sP816: ( product_prod(vEBT_VEBT,nat) * $o ) > $o ).

tff(pred_def_467,type,
    sP817: ( product_prod(vEBT_VEBT,nat) * $o ) > $o ).

tff(pred_def_468,type,
    sP818: ( product_prod(vEBT_VEBT,nat) * $o ) > $o ).

tff(pred_def_469,type,
    sP819: ( product_prod(vEBT_VEBT,nat) * $o ) > $o ).

tff(pred_def_470,type,
    sP820: ( product_prod(vEBT_VEBT,nat) * $o ) > $o ).

tff(pred_def_471,type,
    sP821: ( product_prod(vEBT_VEBT,nat) * $o ) > $o ).

tff(pred_def_472,type,
    sP822: ( product_prod(vEBT_VEBT,nat) * $o ) > $o ).

tff(pred_def_473,type,
    sP823: ( product_prod(vEBT_VEBT,nat) * $o ) > $o ).

tff(pred_def_474,type,
    sP824: ( product_prod(vEBT_VEBT,nat) * $o ) > $o ).

tff(pred_def_475,type,
    sP825: ( product_prod(vEBT_VEBT,nat) * $o ) > $o ).

tff(pred_def_476,type,
    sP826: ( product_prod(vEBT_VEBT,nat) * $o ) > $o ).

tff(pred_def_477,type,
    sP827: ( product_prod(vEBT_VEBT,nat) * $o ) > $o ).

tff(pred_def_478,type,
    sP828: ( product_prod(vEBT_VEBT,nat) * $o ) > $o ).

tff(pred_def_479,type,
    sP829: ( product_prod(vEBT_VEBT,nat) * $o ) > $o ).

tff(pred_def_480,type,
    sP830: ( product_prod(vEBT_VEBT,nat) * $o ) > $o ).

tff(pred_def_481,type,
    sP831: ( product_prod(vEBT_VEBT,nat) * $o ) > $o ).

tff(pred_def_482,type,
    sP832: ( product_prod(vEBT_VEBT,nat) * $o ) > $o ).

tff(pred_def_483,type,
    sP833: ( product_prod(vEBT_VEBT,nat) * $o ) > $o ).

tff(pred_def_484,type,
    sP834: ( product_prod(vEBT_VEBT,nat) * $o ) > $o ).

tff(pred_def_485,type,
    sP835: ( product_prod(vEBT_VEBT,nat) * $o ) > $o ).

tff(pred_def_486,type,
    sP836: ( product_prod(vEBT_VEBT,nat) * $o ) > $o ).

tff(pred_def_487,type,
    sP837: ( product_prod(vEBT_VEBT,nat) * $o ) > $o ).

tff(pred_def_488,type,
    sP838: ( product_prod(vEBT_VEBT,nat) * $o ) > $o ).

tff(pred_def_489,type,
    sP839: ( product_prod(vEBT_VEBT,nat) * $o ) > $o ).

tff(pred_def_490,type,
    sK840: product_prod(vEBT_VEBT,nat) > $o ).

tff(pred_def_491,type,
    sK841: product_prod(vEBT_VEBT,nat) > $o ).

tff(pred_def_492,type,
    sK842: product_prod(vEBT_VEBT,nat) > $o ).

tff(pred_def_493,type,
    sK843: product_prod(vEBT_VEBT,nat) > $o ).

tff(pred_def_494,type,
    sP863: $o > $o ).

tff(pred_def_495,type,
    sP864: $o > $o ).

tff(pred_def_496,type,
    sP865: $o > $o ).

tff(pred_def_497,type,
    sP866: $o > $o ).

tff(pred_def_498,type,
    sP867: ( product_prod(vEBT_VEBT,nat) * $o ) > $o ).

tff(pred_def_499,type,
    sP868: ( product_prod(vEBT_VEBT,nat) * $o ) > $o ).

tff(pred_def_500,type,
    sP869: ( product_prod(vEBT_VEBT,nat) * $o ) > $o ).

tff(pred_def_501,type,
    sP870: ( product_prod(vEBT_VEBT,nat) * $o ) > $o ).

tff(pred_def_502,type,
    sP871: ( product_prod(vEBT_VEBT,nat) * $o ) > $o ).

tff(pred_def_503,type,
    sP872: ( product_prod(vEBT_VEBT,nat) * $o ) > $o ).

tff(pred_def_504,type,
    sP873: ( product_prod(vEBT_VEBT,nat) * $o ) > $o ).

tff(pred_def_505,type,
    sP874: ( product_prod(vEBT_VEBT,nat) * $o ) > $o ).

tff(pred_def_506,type,
    sP875: ( product_prod(vEBT_VEBT,nat) * $o ) > $o ).

tff(pred_def_507,type,
    sP876: ( product_prod(vEBT_VEBT,nat) * $o ) > $o ).

tff(pred_def_508,type,
    sP877: ( product_prod(vEBT_VEBT,nat) * $o ) > $o ).

tff(pred_def_509,type,
    sP878: ( product_prod(vEBT_VEBT,nat) * $o ) > $o ).

tff(pred_def_510,type,
    sP879: ( product_prod(vEBT_VEBT,nat) * $o ) > $o ).

tff(pred_def_511,type,
    sP880: ( product_prod(vEBT_VEBT,nat) * $o ) > $o ).

tff(pred_def_512,type,
    sP881: ( product_prod(vEBT_VEBT,nat) * $o ) > $o ).

tff(pred_def_513,type,
    sP882: ( product_prod(vEBT_VEBT,nat) * $o ) > $o ).

tff(pred_def_514,type,
    sK883: product_prod(vEBT_VEBT,nat) > $o ).

tff(pred_def_515,type,
    sK884: product_prod(vEBT_VEBT,nat) > $o ).

tff(pred_def_516,type,
    sK904: product_prod(vEBT_VEBT,nat) > $o ).

tff(pred_def_517,type,
    sK905: product_prod(vEBT_VEBT,nat) > $o ).

tff(pred_def_518,type,
    sK925: ( vEBT_VEBT * option(nat) ) > $o ).

tff(pred_def_519,type,
    sK926: ( vEBT_VEBT * option(nat) ) > $o ).

tff(pred_def_520,type,
    sP935: ( vEBT_VEBT * list(vEBT_VEBT) * nat * nat * nat * option(nat) * vEBT_VEBT ) > $o ).

tff(pred_def_521,type,
    sP936: $o > $o ).

tff(pred_def_522,type,
    sP937: $o > $o ).

tff(pred_def_523,type,
    sP938: $o > $o ).

tff(pred_def_524,type,
    sP939: $o > $o ).

tff(pred_def_525,type,
    sK940: ( vEBT_VEBT * option(nat) ) > $o ).

tff(pred_def_526,type,
    sK941: ( vEBT_VEBT * option(nat) ) > $o ).

tff(pred_def_527,type,
    sP950: ( vEBT_VEBT * list(vEBT_VEBT) * nat * nat * nat * option(nat) * vEBT_VEBT ) > $o ).

tff(pred_def_528,type,
    sP951: $o > $o ).

tff(pred_def_529,type,
    sP952: $o > $o ).

tff(pred_def_530,type,
    sP953: $o > $o ).

tff(pred_def_531,type,
    sP954: $o > $o ).

tff(pred_def_532,type,
    sK967: ( vEBT_VEBT * $o ) > $o ).

tff(pred_def_533,type,
    sK968: ( vEBT_VEBT * $o ) > $o ).

tff(pred_def_534,type,
    sP976: ( $o * $o * vEBT_VEBT ) > $o ).

tff(pred_def_535,type,
    sP977: ( vEBT_VEBT * list(vEBT_VEBT) * nat * $o * vEBT_VEBT ) > $o ).

tff(pred_def_536,type,
    sP978: ( vEBT_VEBT * list(vEBT_VEBT) * nat * product_prod(nat,nat) * $o * vEBT_VEBT ) > $o ).

tff(pred_def_537,type,
    sP979: $o > $o ).

tff(pred_def_538,type,
    sP980: $o > $o ).

tff(pred_def_539,type,
    sK984: vEBT_VEBT > $o ).

tff(pred_def_540,type,
    sK985: vEBT_VEBT > $o ).

tff(pred_def_541,type,
    sP990: ( vEBT_VEBT * list(vEBT_VEBT) * nat * product_prod(nat,nat) ) > $o ).

tff(pred_def_542,type,
    sP991: $o > $o ).

tff(pred_def_543,type,
    sP992: $o > $o ).

tff(pred_def_544,type,
    sP993: $o > $o ).

tff(pred_def_545,type,
    sP994: $o > $o ).

tff(pred_def_546,type,
    sP996: $o > $o ).

tff(pred_def_547,type,
    sP997: $o > $o ).

tff(pred_def_548,type,
    sP1010: ( int * int * int * int * fun(int,$o) ) > $o ).

tff(pred_def_549,type,
    sP1079: ( vEBT_VEBT * list(vEBT_VEBT) ) > $o ).

tff(pred_def_550,type,
    sP1080: ( nat * nat * nat * nat * nat * list(vEBT_VEBT) ) > $o ).

tff(pred_def_551,type,
    sP1081: ( nat * list(vEBT_VEBT) ) > $o ).

tff(pred_def_552,type,
    sP1082: ( nat * vEBT_VEBT ) > $o ).

tff(pred_def_553,type,
    sP1090: ( vEBT_VEBT * list(vEBT_VEBT) ) > $o ).

tff(pred_def_554,type,
    sP1091: ( nat * nat * nat * nat * nat * list(vEBT_VEBT) ) > $o ).

tff(pred_def_555,type,
    sP1092: ( nat * list(vEBT_VEBT) ) > $o ).

tff(pred_def_556,type,
    sP1093: ( nat * vEBT_VEBT ) > $o ).

tff(pred_def_557,type,
    sK1121: vEBT_VEBT > $o ).

tff(pred_def_558,type,
    sK1122: vEBT_VEBT > $o ).

tff(pred_def_559,type,
    sP1123: ( nat * nat * vEBT_VEBT * nat * list(vEBT_VEBT) * nat * vEBT_VEBT ) > $o ).

tff(pred_def_560,type,
    sP1124: ( nat * nat * nat * nat * vEBT_VEBT * nat * list(vEBT_VEBT) * nat * vEBT_VEBT ) > $o ).

tff(pred_def_561,type,
    sP1125: ( nat * nat * nat * nat * vEBT_VEBT * nat * list(vEBT_VEBT) * nat * vEBT_VEBT ) > $o ).

tff(pred_def_562,type,
    sP1126: ( $o * $o * vEBT_VEBT ) > $o ).

tff(pred_def_563,type,
    sP1145: ( nat * nat * vEBT_VEBT * nat * list(vEBT_VEBT) * nat * vEBT_VEBT ) > $o ).

tff(pred_def_564,type,
    sP1146: ( vEBT_VEBT * nat * list(vEBT_VEBT) * nat * vEBT_VEBT ) > $o ).

tff(pred_def_565,type,
    sP1147: ( vEBT_VEBT * nat * list(vEBT_VEBT) * nat * vEBT_VEBT ) > $o ).

tff(pred_def_566,type,
    sP1148: vEBT_VEBT > $o ).

tff(pred_def_567,type,
    sK1151: vEBT_VEBT > $o ).

tff(pred_def_568,type,
    sK1152: vEBT_VEBT > $o ).

tff(pred_def_569,type,
    sP1163: ( nat * nat * nat * nat * list(vEBT_VEBT) ) > $o ).

tff(pred_def_570,type,
    sP1164: ( vEBT_VEBT * list(vEBT_VEBT) ) > $o ).

tff(pred_def_571,type,
    sP1167: ( nat * list(vEBT_VEBT) ) > $o ).

tff(pred_def_572,type,
    sP1168: ( nat * vEBT_VEBT ) > $o ).

tff(pred_def_573,type,
    sP1169: ( nat * nat * nat * nat * list(vEBT_VEBT) ) > $o ).

tff(pred_def_574,type,
    sP1170: ( vEBT_VEBT * list(vEBT_VEBT) ) > $o ).

tff(pred_def_575,type,
    sP1175: ( nat * list(vEBT_VEBT) ) > $o ).

tff(pred_def_576,type,
    sP1176: ( nat * vEBT_VEBT ) > $o ).

tff(pred_def_577,type,
    sP1181: ( vEBT_VEBT * list(vEBT_VEBT) * nat * nat * nat * nat * nat ) > $o ).

tff(pred_def_578,type,
    sP1182: ( vEBT_VEBT * list(vEBT_VEBT) * nat * nat * nat * nat ) > $o ).

tff(pred_def_579,type,
    sP1183: ( vEBT_VEBT * list(vEBT_VEBT) * nat * nat * nat * nat ) > $o ).

tff(pred_def_580,type,
    sP1184: ( vEBT_VEBT * list(vEBT_VEBT) * nat * nat * nat * nat * nat ) > $o ).

tff(pred_def_581,type,
    sP1185: ( vEBT_VEBT * list(vEBT_VEBT) * nat * nat * nat * nat ) > $o ).

tff(pred_def_582,type,
    sP1186: ( vEBT_VEBT * list(vEBT_VEBT) * nat * nat * nat * nat ) > $o ).

tff(pred_def_583,type,
    sP1187: ( vEBT_VEBT * list(vEBT_VEBT) * nat * nat * nat * nat ) > $o ).

tff(pred_def_584,type,
    sP1188: ( vEBT_VEBT * list(vEBT_VEBT) * nat * nat * nat * nat ) > $o ).

tff(pred_def_585,type,
    sP1189: ( vEBT_VEBT * list(vEBT_VEBT) * nat * nat * nat * nat ) > $o ).

tff(pred_def_586,type,
    sP1190: ( vEBT_VEBT * list(vEBT_VEBT) * nat * nat * nat * nat ) > $o ).

tff(pred_def_587,type,
    sP1191: ( vEBT_VEBT * list(vEBT_VEBT) * nat * nat * nat * nat ) > $o ).

tff(pred_def_588,type,
    sK1196: ( vEBT_VEBT * nat * $o ) > $o ).

tff(pred_def_589,type,
    sK1197: ( vEBT_VEBT * nat * $o ) > $o ).

tff(pred_def_590,type,
    sP1204: ( list(vEBT_VEBT) * nat * option(product_prod(nat,nat)) * vEBT_VEBT ) > $o ).

tff(pred_def_591,type,
    sP1205: ( list(vEBT_VEBT) * nat * $o * nat ) > $o ).

tff(pred_def_592,type,
    sP1206: $o > $o ).

tff(pred_def_593,type,
    sP1207: $o > $o ).

tff(pred_def_594,type,
    sP1208: $o > $o ).

tff(pred_def_595,type,
    sP1209: ( $o * $o * nat ) > $o ).

tff(pred_def_596,type,
    sK1211: ( vEBT_VEBT * nat ) > $o ).

tff(pred_def_597,type,
    sK1212: ( vEBT_VEBT * nat ) > $o ).

tff(pred_def_598,type,
    sP1217: ( list(vEBT_VEBT) * nat * nat ) > $o ).

tff(pred_def_599,type,
    sK1218: ( vEBT_VEBT * nat ) > $o ).

tff(pred_def_600,type,
    sK1219: ( vEBT_VEBT * nat ) > $o ).

tff(pred_def_601,type,
    sP1227: ( list(vEBT_VEBT) * nat * nat ) > $o ).

tff(pred_def_602,type,
    sP1228: ( nat * vEBT_VEBT * list(vEBT_VEBT) * nat * nat * nat * nat ) > $o ).

tff(pred_def_603,type,
    sP1229: ( nat * vEBT_VEBT * list(vEBT_VEBT) * nat * nat * nat ) > $o ).

tff(pred_def_604,type,
    sP1230: ( nat * vEBT_VEBT * list(vEBT_VEBT) * nat * nat * nat ) > $o ).

tff(pred_def_605,type,
    sP1231: ( nat * vEBT_VEBT * list(vEBT_VEBT) * nat * nat * nat * nat ) > $o ).

tff(pred_def_606,type,
    sP1232: ( nat * vEBT_VEBT * list(vEBT_VEBT) * nat * nat * nat ) > $o ).

tff(pred_def_607,type,
    sP1233: ( nat * vEBT_VEBT * list(vEBT_VEBT) * nat * nat * nat * nat ) > $o ).

tff(pred_def_608,type,
    sP1234: ( nat * vEBT_VEBT * list(vEBT_VEBT) * nat * nat * nat ) > $o ).

tff(pred_def_609,type,
    sP1235: ( nat * vEBT_VEBT * list(vEBT_VEBT) * nat * nat * nat ) > $o ).

tff(pred_def_610,type,
    sP1236: ( nat * vEBT_VEBT * list(vEBT_VEBT) * nat * nat * nat * nat ) > $o ).

tff(pred_def_611,type,
    sP1237: ( nat * vEBT_VEBT * list(vEBT_VEBT) * nat * nat * nat ) > $o ).

tff(pred_def_612,type,
    sP1238: ( nat * vEBT_VEBT * list(vEBT_VEBT) * nat * nat * nat ) > $o ).

tff(pred_def_613,type,
    sP1239: ( nat * vEBT_VEBT * list(vEBT_VEBT) * nat * nat * nat ) > $o ).

tff(pred_def_614,type,
    sP1240: ( nat * vEBT_VEBT * list(vEBT_VEBT) * nat * nat * nat ) > $o ).

tff(pred_def_615,type,
    sP1241: ( nat * vEBT_VEBT * list(vEBT_VEBT) * nat * nat * nat ) > $o ).

tff(pred_def_616,type,
    sP1242: ( nat * vEBT_VEBT * list(vEBT_VEBT) * nat * nat * nat ) > $o ).

tff(pred_def_617,type,
    sP1243: ( nat * vEBT_VEBT * list(vEBT_VEBT) * nat * nat * nat ) > $o ).

tff(pred_def_618,type,
    sP1244: ( nat * vEBT_VEBT * list(vEBT_VEBT) * nat * nat * nat ) > $o ).

tff(pred_def_619,type,
    sP1245: ( nat * vEBT_VEBT * list(vEBT_VEBT) * nat * nat * nat ) > $o ).

tff(pred_def_620,type,
    sP1246: ( nat * vEBT_VEBT * list(vEBT_VEBT) * nat * nat * nat ) > $o ).

tff(pred_def_621,type,
    sP1247: ( nat * vEBT_VEBT * list(vEBT_VEBT) * nat * nat * nat ) > $o ).

tff(pred_def_622,type,
    sP1248: ( nat * vEBT_VEBT * list(vEBT_VEBT) * nat * nat * nat ) > $o ).

tff(pred_def_623,type,
    sP1249: ( nat * vEBT_VEBT * list(vEBT_VEBT) * nat * nat * nat ) > $o ).

tff(pred_def_624,type,
    sP1262: ( list(vEBT_VEBT) * nat * nat ) > $o ).

tff(pred_def_625,type,
    sP1263: ( list(vEBT_VEBT) * nat * nat ) > $o ).

tff(pred_def_626,type,
    sK1264: ( vEBT_VEBT * nat ) > $o ).

tff(pred_def_627,type,
    sK1265: ( vEBT_VEBT * nat ) > $o ).

tff(pred_def_628,type,
    sP1271: $o > $o ).

tff(pred_def_629,type,
    sP1272: $o > $o ).

tff(pred_def_630,type,
    sP1273: ( nat * nat ) > $o ).

tff(pred_def_631,type,
    sP1274: ( nat * nat ) > $o ).

tff(pred_def_632,type,
    sP1275: ( list(vEBT_VEBT) * nat * nat ) > $o ).

tff(pred_def_633,type,
    sK1276: vEBT_VEBT > $o ).

tff(pred_def_634,type,
    sK1277: vEBT_VEBT > $o ).

tff(pred_def_635,type,
    sP1288: ( list(vEBT_VEBT) * nat * nat * nat * nat * vEBT_VEBT ) > $o ).

tff(pred_def_636,type,
    sP1289: ( list(vEBT_VEBT) * nat * nat * vEBT_VEBT ) > $o ).

tff(pred_def_637,type,
    sP1290: $o > $o ).

tff(pred_def_638,type,
    sP1291: $o > $o ).

tff(pred_def_639,type,
    sK1304: vEBT_VEBT > $o ).

tff(pred_def_640,type,
    sK1305: vEBT_VEBT > $o ).

tff(pred_def_641,type,
    sP1308: ( list(vEBT_VEBT) * nat * nat * nat * $o * nat * vEBT_VEBT ) > $o ).

tff(pred_def_642,type,
    sP1309: ( list(vEBT_VEBT) * nat * $o * nat * vEBT_VEBT ) > $o ).

tff(pred_def_643,type,
    sP1310: ( nat * nat * vEBT_VEBT ) > $o ).

tff(pred_def_644,type,
    sP1311: ( nat * nat * $o * nat ) > $o ).

tff(pred_def_645,type,
    sP1312: $o > $o ).

tff(pred_def_646,type,
    sP1313: $o > $o ).

tff(pred_def_647,type,
    sK1318: ( vEBT_VEBT * nat * vEBT_VEBT ) > $o ).

tff(pred_def_648,type,
    sK1319: ( vEBT_VEBT * nat * vEBT_VEBT ) > $o ).

tff(pred_def_649,type,
    sK1320: ( vEBT_VEBT * nat * vEBT_VEBT ) > $o ).

tff(pred_def_650,type,
    sK1321: ( vEBT_VEBT * nat * vEBT_VEBT ) > $o ).

tff(pred_def_651,type,
    sK1322: ( vEBT_VEBT * nat * vEBT_VEBT ) > $o ).

tff(pred_def_652,type,
    sP1339: ( $o * $o * vEBT_VEBT * nat * vEBT_VEBT ) > $o ).

tff(pred_def_653,type,
    sP1340: ( vEBT_VEBT * list(vEBT_VEBT) * nat * vEBT_VEBT * vEBT_VEBT ) > $o ).

tff(pred_def_654,type,
    sP1341: ( vEBT_VEBT * list(vEBT_VEBT) * nat * nat * vEBT_VEBT * vEBT_VEBT ) > $o ).

tff(pred_def_655,type,
    sP1342: ( vEBT_VEBT * list(vEBT_VEBT) * nat * nat * vEBT_VEBT * vEBT_VEBT ) > $o ).

tff(pred_def_656,type,
    sP1343: ( vEBT_VEBT * list(vEBT_VEBT) * nat * nat * nat * vEBT_VEBT * nat * vEBT_VEBT ) > $o ).

tff(pred_def_657,type,
    sK1344: vEBT_VEBT > $o ).

tff(pred_def_658,type,
    sP1345: $o > $o ).

tff(pred_def_659,type,
    sP1346: $o > $o ).

tff(pred_def_660,type,
    sP1347: $o > $o ).

tff(pred_def_661,type,
    sP1349: $o > $o ).

tff(pred_def_662,type,
    sP1350: $o > $o ).

tff(pred_def_663,type,
    sP1351: ( vEBT_VEBT * list(vEBT_VEBT) * nat * nat * nat * nat * nat ) > $o ).

tff(pred_def_664,type,
    sP1352: ( vEBT_VEBT * list(vEBT_VEBT) * nat * nat * nat * nat ) > $o ).

tff(pred_def_665,type,
    sP1353: ( vEBT_VEBT * list(vEBT_VEBT) * nat * nat * nat * nat ) > $o ).

tff(pred_def_666,type,
    sP1354: ( vEBT_VEBT * list(vEBT_VEBT) * nat * nat * nat * nat * nat ) > $o ).

tff(pred_def_667,type,
    sP1355: ( vEBT_VEBT * list(vEBT_VEBT) * nat * nat * nat * nat ) > $o ).

tff(pred_def_668,type,
    sP1356: ( vEBT_VEBT * list(vEBT_VEBT) * nat * nat * nat * nat * nat ) > $o ).

tff(pred_def_669,type,
    sP1357: ( vEBT_VEBT * list(vEBT_VEBT) * nat * nat * nat * nat ) > $o ).

tff(pred_def_670,type,
    sP1358: ( vEBT_VEBT * list(vEBT_VEBT) * nat * nat * nat * nat ) > $o ).

tff(pred_def_671,type,
    sP1359: ( vEBT_VEBT * list(vEBT_VEBT) * nat * nat * nat * nat * nat ) > $o ).

tff(pred_def_672,type,
    sP1360: ( vEBT_VEBT * list(vEBT_VEBT) * nat * nat * nat * nat ) > $o ).

tff(pred_def_673,type,
    sP1361: ( vEBT_VEBT * list(vEBT_VEBT) * nat * nat * nat * nat ) > $o ).

tff(pred_def_674,type,
    sP1362: ( vEBT_VEBT * list(vEBT_VEBT) * nat * nat * nat * nat ) > $o ).

tff(pred_def_675,type,
    sP1363: ( vEBT_VEBT * list(vEBT_VEBT) * nat * nat * nat * nat ) > $o ).

tff(pred_def_676,type,
    sP1364: ( vEBT_VEBT * list(vEBT_VEBT) * nat * nat * nat * nat ) > $o ).

tff(pred_def_677,type,
    sP1365: ( vEBT_VEBT * list(vEBT_VEBT) * nat * nat * nat * nat ) > $o ).

tff(pred_def_678,type,
    sP1366: ( vEBT_VEBT * list(vEBT_VEBT) * nat * nat * nat * nat ) > $o ).

tff(pred_def_679,type,
    sP1367: ( vEBT_VEBT * list(vEBT_VEBT) * nat * nat * nat * nat ) > $o ).

tff(pred_def_680,type,
    sP1368: ( vEBT_VEBT * list(vEBT_VEBT) * nat * nat * nat * nat ) > $o ).

tff(pred_def_681,type,
    sP1369: ( vEBT_VEBT * list(vEBT_VEBT) * nat * nat * nat * nat ) > $o ).

tff(pred_def_682,type,
    sP1370: ( vEBT_VEBT * list(vEBT_VEBT) * nat * nat * nat * nat ) > $o ).

tff(pred_def_683,type,
    sP1371: ( vEBT_VEBT * list(vEBT_VEBT) * nat * nat * nat * nat ) > $o ).

tff(pred_def_684,type,
    sP1372: ( vEBT_VEBT * list(vEBT_VEBT) * nat * nat * nat * nat ) > $o ).

tff(pred_def_685,type,
    sP1373: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_686,type,
    sP1374: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_687,type,
    sP1375: ( vEBT_VEBT * $o ) > $o ).

tff(pred_def_688,type,
    sP1376: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_689,type,
    sP1377: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_690,type,
    sP1378: ( vEBT_VEBT * $o ) > $o ).

tff(pred_def_691,type,
    sP1379: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_692,type,
    sP1380: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_693,type,
    sP1381: ( vEBT_VEBT * $o ) > $o ).

tff(pred_def_694,type,
    sP1382: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_695,type,
    sP1383: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_696,type,
    sP1384: ( vEBT_VEBT * $o ) > $o ).

tff(pred_def_697,type,
    sP1385: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_698,type,
    sP1386: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_699,type,
    sP1387: ( vEBT_VEBT * $o ) > $o ).

tff(pred_def_700,type,
    sP1388: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_701,type,
    sP1389: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_702,type,
    sP1390: ( vEBT_VEBT * $o ) > $o ).

tff(pred_def_703,type,
    sP1391: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_704,type,
    sP1392: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_705,type,
    sP1393: ( vEBT_VEBT * $o ) > $o ).

tff(pred_def_706,type,
    sP1394: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_707,type,
    sP1395: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_708,type,
    sP1396: ( vEBT_VEBT * $o ) > $o ).

tff(pred_def_709,type,
    sP1397: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_710,type,
    sP1398: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_711,type,
    sP1399: ( vEBT_VEBT * $o ) > $o ).

tff(pred_def_712,type,
    sP1400: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_713,type,
    sP1401: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_714,type,
    sP1402: ( vEBT_VEBT * $o ) > $o ).

tff(pred_def_715,type,
    sP1403: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_716,type,
    sP1404: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_717,type,
    sP1405: ( vEBT_VEBT * $o ) > $o ).

tff(pred_def_718,type,
    sP1406: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_719,type,
    sP1407: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_720,type,
    sP1408: ( vEBT_VEBT * $o ) > $o ).

tff(pred_def_721,type,
    sP1409: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_722,type,
    sP1410: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_723,type,
    sP1411: ( vEBT_VEBT * $o ) > $o ).

tff(pred_def_724,type,
    sP1412: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_725,type,
    sP1413: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_726,type,
    sP1414: ( vEBT_VEBT * $o ) > $o ).

tff(pred_def_727,type,
    sP1415: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_728,type,
    sP1416: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_729,type,
    sP1417: ( vEBT_VEBT * $o ) > $o ).

tff(pred_def_730,type,
    sP1418: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_731,type,
    sP1419: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_732,type,
    sP1420: ( vEBT_VEBT * $o ) > $o ).

tff(pred_def_733,type,
    sP1421: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_734,type,
    sP1422: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_735,type,
    sP1423: ( vEBT_VEBT * $o ) > $o ).

tff(pred_def_736,type,
    sP1424: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_737,type,
    sP1425: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_738,type,
    sP1426: ( vEBT_VEBT * $o ) > $o ).

tff(pred_def_739,type,
    sP1427: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_740,type,
    sP1428: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_741,type,
    sP1429: ( vEBT_VEBT * $o ) > $o ).

tff(pred_def_742,type,
    sP1430: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_743,type,
    sP1431: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_744,type,
    sP1432: ( vEBT_VEBT * $o ) > $o ).

tff(pred_def_745,type,
    sP1433: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_746,type,
    sP1434: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_747,type,
    sP1435: ( vEBT_VEBT * $o ) > $o ).

tff(pred_def_748,type,
    sP1436: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_749,type,
    sP1437: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_750,type,
    sP1438: ( vEBT_VEBT * $o ) > $o ).

tff(pred_def_751,type,
    sP1439: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_752,type,
    sP1440: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_753,type,
    sP1441: ( vEBT_VEBT * $o ) > $o ).

tff(pred_def_754,type,
    sP1442: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_755,type,
    sP1443: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_756,type,
    sP1444: ( vEBT_VEBT * $o ) > $o ).

tff(pred_def_757,type,
    sP1445: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_758,type,
    sP1446: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_759,type,
    sP1447: ( vEBT_VEBT * $o ) > $o ).

tff(pred_def_760,type,
    sP1448: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_761,type,
    sP1449: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_762,type,
    sP1450: ( vEBT_VEBT * $o ) > $o ).

tff(pred_def_763,type,
    sP1451: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_764,type,
    sP1452: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_765,type,
    sP1453: ( vEBT_VEBT * $o ) > $o ).

tff(pred_def_766,type,
    sP1454: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_767,type,
    sP1455: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_768,type,
    sP1456: ( vEBT_VEBT * $o ) > $o ).

tff(pred_def_769,type,
    sP1457: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_770,type,
    sP1458: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_771,type,
    sP1459: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_772,type,
    sP1460: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_773,type,
    sP1461: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_774,type,
    sP1462: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_775,type,
    sP1463: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_776,type,
    sP1464: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_777,type,
    sP1465: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_778,type,
    sP1466: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_779,type,
    sP1467: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_780,type,
    sP1468: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_781,type,
    sP1469: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_782,type,
    sP1470: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_783,type,
    sP1471: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_784,type,
    sP1472: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_785,type,
    sP1473: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_786,type,
    sP1474: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_787,type,
    sP1475: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_788,type,
    sP1476: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_789,type,
    sP1477: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_790,type,
    sP1478: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_791,type,
    sP1479: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_792,type,
    sP1480: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_793,type,
    sP1481: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_794,type,
    sP1482: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_795,type,
    sP1483: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_796,type,
    sP1484: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_797,type,
    sP1485: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_798,type,
    sP1486: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_799,type,
    sP1487: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_800,type,
    sP1488: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_801,type,
    sP1489: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_802,type,
    sP1490: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_803,type,
    sP1491: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_804,type,
    sP1492: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_805,type,
    sP1493: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_806,type,
    sP1494: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_807,type,
    sP1495: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_808,type,
    sP1496: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_809,type,
    sP1497: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_810,type,
    sP1498: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_811,type,
    sK1499: ( vEBT_VEBT * nat * $o ) > $o ).

tff(pred_def_812,type,
    sK1500: ( vEBT_VEBT * nat * $o ) > $o ).

tff(pred_def_813,type,
    sP1501: ( $o * nat * vEBT_VEBT ) > $o ).

tff(pred_def_814,type,
    sP1502: ( nat * vEBT_VEBT ) > $o ).

tff(pred_def_815,type,
    sP1503: $o > $o ).

tff(pred_def_816,type,
    sP1504: ( $o * $o * $o * nat * vEBT_VEBT ) > $o ).

tff(pred_def_817,type,
    sK1519: ( vEBT_VEBT * nat ) > $o ).

tff(pred_def_818,type,
    sK1520: ( vEBT_VEBT * nat ) > $o ).

tff(pred_def_819,type,
    sP1535: $o > $o ).

tff(pred_def_820,type,
    sP1536: $o > $o ).

tff(pred_def_821,type,
    sP1537: ( nat * nat ) > $o ).

tff(pred_def_822,type,
    sP1538: ( nat * nat ) > $o ).

tff(pred_def_823,type,
    sP1539: ( list(vEBT_VEBT) * nat * nat ) > $o ).

tff(pred_def_824,type,
    sK1540: ( vEBT_VEBT * nat * option(nat) ) > $o ).

tff(pred_def_825,type,
    sK1541: ( vEBT_VEBT * nat * option(nat) ) > $o ).

tff(pred_def_826,type,
    sK1542: ( vEBT_VEBT * nat * option(nat) ) > $o ).

tff(pred_def_827,type,
    sP1543: ( option(nat) * vEBT_VEBT ) > $o ).

tff(pred_def_828,type,
    sP1544: ( option(nat) * nat * vEBT_VEBT ) > $o ).

tff(pred_def_829,type,
    sK1545: vEBT_VEBT > $o ).

tff(pred_def_830,type,
    sK1546: vEBT_VEBT > $o ).

tff(pred_def_831,type,
    sP1547: ( $o * option(nat) * nat * vEBT_VEBT ) > $o ).

tff(pred_def_832,type,
    sP1548: ( $o * $o * option(nat) * nat * vEBT_VEBT ) > $o ).

tff(pred_def_833,type,
    sP1563: $o > $o ).

tff(pred_def_834,type,
    sP1564: $o > $o ).

tff(pred_def_835,type,
    sK1565: ( vEBT_VEBT * $o ) > $o ).

tff(pred_def_836,type,
    sP1567: ( vEBT_VEBT * $o ) > $o ).

tff(pred_def_837,type,
    sP1568: ( vEBT_VEBT * $o ) > $o ).

tff(pred_def_838,type,
    sP1569: ( vEBT_VEBT * $o ) > $o ).

tff(pred_def_839,type,
    sP1570: ( vEBT_VEBT * $o ) > $o ).

tff(pred_def_840,type,
    sP1571: ( vEBT_VEBT * $o ) > $o ).

tff(pred_def_841,type,
    sP1572: ( vEBT_VEBT * $o ) > $o ).

tff(pred_def_842,type,
    sP1573: ( vEBT_VEBT * $o ) > $o ).

tff(pred_def_843,type,
    sP1574: ( vEBT_VEBT * $o ) > $o ).

tff(pred_def_844,type,
    sP1575: ( vEBT_VEBT * $o ) > $o ).

tff(pred_def_845,type,
    sP1576: ( vEBT_VEBT * $o ) > $o ).

tff(pred_def_846,type,
    sP1577: ( vEBT_VEBT * $o ) > $o ).

tff(pred_def_847,type,
    sP1578: ( vEBT_VEBT * $o ) > $o ).

tff(pred_def_848,type,
    sP1579: ( vEBT_VEBT * $o ) > $o ).

tff(pred_def_849,type,
    sP1580: ( vEBT_VEBT * $o ) > $o ).

tff(pred_def_850,type,
    sP1581: ( vEBT_VEBT * $o ) > $o ).

tff(pred_def_851,type,
    sP1582: ( vEBT_VEBT * $o ) > $o ).

tff(pred_def_852,type,
    sP1583: ( vEBT_VEBT * $o ) > $o ).

tff(pred_def_853,type,
    sP1584: ( vEBT_VEBT * $o ) > $o ).

tff(pred_def_854,type,
    sP1585: ( vEBT_VEBT * $o ) > $o ).

tff(pred_def_855,type,
    sP1586: ( vEBT_VEBT * $o ) > $o ).

tff(pred_def_856,type,
    sP1587: ( vEBT_VEBT * $o ) > $o ).

tff(pred_def_857,type,
    sP1588: ( vEBT_VEBT * $o ) > $o ).

tff(pred_def_858,type,
    sP1589: ( vEBT_VEBT * $o ) > $o ).

tff(pred_def_859,type,
    sP1590: ( vEBT_VEBT * $o ) > $o ).

tff(pred_def_860,type,
    sP1591: ( vEBT_VEBT * $o ) > $o ).

tff(pred_def_861,type,
    sP1592: ( vEBT_VEBT * $o ) > $o ).

tff(pred_def_862,type,
    sP1593: ( vEBT_VEBT * $o ) > $o ).

tff(pred_def_863,type,
    sP1594: ( vEBT_VEBT * $o ) > $o ).

tff(pred_def_864,type,
    sP1595: ( vEBT_VEBT * $o ) > $o ).

tff(pred_def_865,type,
    sP1596: ( vEBT_VEBT * $o ) > $o ).

tff(pred_def_866,type,
    sP1597: ( vEBT_VEBT * $o ) > $o ).

tff(pred_def_867,type,
    sP1598: ( vEBT_VEBT * $o ) > $o ).

tff(pred_def_868,type,
    sK1599: ( vEBT_VEBT * nat * option(nat) ) > $o ).

tff(pred_def_869,type,
    sK1600: ( vEBT_VEBT * nat * option(nat) ) > $o ).

tff(pred_def_870,type,
    sP1601: ( option(nat) * vEBT_VEBT ) > $o ).

tff(pred_def_871,type,
    sP1602: ( option(nat) * nat * vEBT_VEBT ) > $o ).

tff(pred_def_872,type,
    sP1603: ( $o * $o * option(nat) * nat * vEBT_VEBT ) > $o ).

tff(pred_def_873,type,
    sK1604: vEBT_VEBT > $o ).

tff(pred_def_874,type,
    sK1605: vEBT_VEBT > $o ).

tff(pred_def_875,type,
    sP1621: $o > $o ).

tff(pred_def_876,type,
    sP1622: $o > $o ).

tff(pred_def_877,type,
    sP1623: ( vEBT_VEBT * $o ) > $o ).

tff(pred_def_878,type,
    sP1624: ( vEBT_VEBT * $o ) > $o ).

tff(pred_def_879,type,
    sP1625: ( vEBT_VEBT * $o ) > $o ).

tff(pred_def_880,type,
    sP1626: ( vEBT_VEBT * $o ) > $o ).

tff(pred_def_881,type,
    sP1627: ( vEBT_VEBT * $o ) > $o ).

tff(pred_def_882,type,
    sP1628: ( vEBT_VEBT * $o ) > $o ).

tff(pred_def_883,type,
    sP1629: ( vEBT_VEBT * $o ) > $o ).

tff(pred_def_884,type,
    sP1630: ( vEBT_VEBT * $o ) > $o ).

tff(pred_def_885,type,
    sP1631: ( vEBT_VEBT * $o ) > $o ).

tff(pred_def_886,type,
    sP1632: ( vEBT_VEBT * $o ) > $o ).

tff(pred_def_887,type,
    sP1633: ( vEBT_VEBT * $o ) > $o ).

tff(pred_def_888,type,
    sP1634: ( vEBT_VEBT * $o ) > $o ).

tff(pred_def_889,type,
    sP1635: ( vEBT_VEBT * $o ) > $o ).

tff(pred_def_890,type,
    sP1636: ( vEBT_VEBT * $o ) > $o ).

tff(pred_def_891,type,
    sP1637: ( vEBT_VEBT * $o ) > $o ).

tff(pred_def_892,type,
    sP1638: ( vEBT_VEBT * $o ) > $o ).

tff(pred_def_893,type,
    sK1639: ( vEBT_VEBT * nat * vEBT_VEBT ) > $o ).

tff(pred_def_894,type,
    sK1640: ( vEBT_VEBT * nat * vEBT_VEBT ) > $o ).

tff(pred_def_895,type,
    sP1655: ( vEBT_VEBT * list(vEBT_VEBT) * nat * nat * nat * vEBT_VEBT * nat * vEBT_VEBT ) > $o ).

tff(pred_def_896,type,
    sP1656: $o > $o ).

tff(pred_def_897,type,
    sP1657: $o > $o ).

tff(pred_def_898,type,
    sP1658: $o > $o ).

tff(pred_def_899,type,
    sP1659: ( nat * nat * nat ) > $o ).

tff(pred_def_900,type,
    sP1660: ( nat * nat * nat ) > $o ).

tff(pred_def_901,type,
    sP1661: ( nat * nat * nat ) > $o ).

tff(pred_def_902,type,
    sP1662: $o > $o ).

tff(pred_def_903,type,
    sP1663: $o > $o ).

tff(pred_def_904,type,
    sP1664: $o > $o ).

tff(pred_def_905,type,
    sP1665: ( list(vEBT_VEBT) * nat * nat * nat ) > $o ).

tff(pred_def_906,type,
    sP1666: ( nat * nat ) > $o ).

tff(pred_def_907,type,
    sP1667: ( nat * nat ) > $o ).

tff(pred_def_908,type,
    sK1668: ( vEBT_VEBT * nat * option(nat) ) > $o ).

tff(pred_def_909,type,
    sK1669: ( vEBT_VEBT * nat * option(nat) ) > $o ).

tff(pred_def_910,type,
    sK1670: ( vEBT_VEBT * nat * option(nat) ) > $o ).

tff(pred_def_911,type,
    sK1671: ( vEBT_VEBT * nat * option(nat) ) > $o ).

tff(pred_def_912,type,
    sP1686: ( vEBT_VEBT * list(vEBT_VEBT) * product_prod(nat,nat) * option(nat) * nat * vEBT_VEBT ) > $o ).

tff(pred_def_913,type,
    sP1687: ( vEBT_VEBT * list(vEBT_VEBT) * product_prod(nat,nat) * option(nat) * nat * vEBT_VEBT ) > $o ).

tff(pred_def_914,type,
    sP1688: ( vEBT_VEBT * list(vEBT_VEBT) * nat * nat * nat * option(nat) * nat * vEBT_VEBT ) > $o ).

tff(pred_def_915,type,
    sP1689: ( $o * $o * vEBT_VEBT ) > $o ).

tff(pred_def_916,type,
    sP1690: ( $o * $o * option(nat) * nat ) > $o ).

tff(pred_def_917,type,
    sP1691: ( vEBT_VEBT * list(vEBT_VEBT) * nat * nat ) > $o ).

tff(pred_def_918,type,
    sP1692: $o > $o ).

tff(pred_def_919,type,
    sP1693: $o > $o ).

tff(pred_def_920,type,
    sP1694: $o > $o ).

tff(pred_def_921,type,
    sP1696: $o > $o ).

tff(pred_def_922,type,
    sP1697: $o > $o ).

tff(pred_def_923,type,
    sP1698: ( vEBT_VEBT * nat * option(nat) * $o ) > $o ).

tff(pred_def_924,type,
    sP1699: ( vEBT_VEBT * nat * option(nat) * $o ) > $o ).

tff(pred_def_925,type,
    sP1700: ( vEBT_VEBT * nat * option(nat) * $o ) > $o ).

tff(pred_def_926,type,
    sP1701: ( vEBT_VEBT * nat * option(nat) * $o ) > $o ).

tff(pred_def_927,type,
    sP1702: ( vEBT_VEBT * nat * option(nat) * $o ) > $o ).

tff(pred_def_928,type,
    sP1703: ( vEBT_VEBT * nat * option(nat) * $o ) > $o ).

tff(pred_def_929,type,
    sP1704: ( vEBT_VEBT * nat * option(nat) * $o ) > $o ).

tff(pred_def_930,type,
    sP1705: ( vEBT_VEBT * nat * option(nat) * $o ) > $o ).

tff(pred_def_931,type,
    sP1706: ( vEBT_VEBT * nat * option(nat) * $o ) > $o ).

tff(pred_def_932,type,
    sP1707: ( vEBT_VEBT * nat * option(nat) * $o ) > $o ).

tff(pred_def_933,type,
    sP1708: ( vEBT_VEBT * nat * option(nat) * $o ) > $o ).

tff(pred_def_934,type,
    sP1709: ( vEBT_VEBT * nat * option(nat) * $o ) > $o ).

tff(pred_def_935,type,
    sP1710: ( vEBT_VEBT * nat * option(nat) * $o ) > $o ).

tff(pred_def_936,type,
    sP1711: ( vEBT_VEBT * nat * option(nat) * $o ) > $o ).

tff(pred_def_937,type,
    sP1712: ( vEBT_VEBT * nat * option(nat) * $o ) > $o ).

tff(pred_def_938,type,
    sP1713: ( vEBT_VEBT * nat * option(nat) * $o ) > $o ).

tff(pred_def_939,type,
    sP1714: ( vEBT_VEBT * nat * option(nat) * $o ) > $o ).

tff(pred_def_940,type,
    sP1715: ( vEBT_VEBT * nat * option(nat) * $o ) > $o ).

tff(pred_def_941,type,
    sP1716: ( vEBT_VEBT * nat * option(nat) * $o ) > $o ).

tff(pred_def_942,type,
    sP1717: ( vEBT_VEBT * nat * option(nat) * $o ) > $o ).

tff(pred_def_943,type,
    sP1718: ( vEBT_VEBT * nat * option(nat) * $o ) > $o ).

tff(pred_def_944,type,
    sP1719: ( vEBT_VEBT * nat * option(nat) * $o ) > $o ).

tff(pred_def_945,type,
    sP1720: ( vEBT_VEBT * nat * option(nat) * $o ) > $o ).

tff(pred_def_946,type,
    sP1721: ( vEBT_VEBT * nat * option(nat) * $o ) > $o ).

tff(pred_def_947,type,
    sP1722: ( vEBT_VEBT * nat * option(nat) * $o ) > $o ).

tff(pred_def_948,type,
    sP1723: ( vEBT_VEBT * nat * option(nat) * $o ) > $o ).

tff(pred_def_949,type,
    sP1724: ( vEBT_VEBT * nat * option(nat) * $o ) > $o ).

tff(pred_def_950,type,
    sP1725: ( vEBT_VEBT * nat * option(nat) * $o ) > $o ).

tff(pred_def_951,type,
    sP1726: ( vEBT_VEBT * nat * option(nat) * $o ) > $o ).

tff(pred_def_952,type,
    sP1727: ( vEBT_VEBT * nat * option(nat) * $o ) > $o ).

tff(pred_def_953,type,
    sP1728: ( vEBT_VEBT * nat * option(nat) * $o ) > $o ).

tff(pred_def_954,type,
    sP1729: ( vEBT_VEBT * nat * option(nat) * $o ) > $o ).

tff(pred_def_955,type,
    sP1730: ( vEBT_VEBT * nat * option(nat) * $o ) > $o ).

tff(pred_def_956,type,
    sP1731: ( vEBT_VEBT * nat * option(nat) * $o ) > $o ).

tff(pred_def_957,type,
    sP1732: ( vEBT_VEBT * nat * option(nat) * $o ) > $o ).

tff(pred_def_958,type,
    sP1733: ( vEBT_VEBT * nat * option(nat) * $o ) > $o ).

tff(pred_def_959,type,
    sP1734: ( vEBT_VEBT * nat * option(nat) * $o ) > $o ).

tff(pred_def_960,type,
    sP1735: ( vEBT_VEBT * nat * option(nat) * $o ) > $o ).

tff(pred_def_961,type,
    sP1736: ( vEBT_VEBT * nat * option(nat) * $o ) > $o ).

tff(pred_def_962,type,
    sP1737: ( vEBT_VEBT * nat * option(nat) * $o ) > $o ).

tff(pred_def_963,type,
    sP1738: ( vEBT_VEBT * nat * option(nat) * $o ) > $o ).

tff(pred_def_964,type,
    sP1739: ( vEBT_VEBT * nat * option(nat) * $o ) > $o ).

tff(pred_def_965,type,
    sP1740: ( vEBT_VEBT * nat * option(nat) * $o ) > $o ).

tff(pred_def_966,type,
    sP1741: ( vEBT_VEBT * nat * option(nat) * $o ) > $o ).

tff(pred_def_967,type,
    sP1742: ( vEBT_VEBT * nat * option(nat) * $o ) > $o ).

tff(pred_def_968,type,
    sP1743: ( vEBT_VEBT * nat * option(nat) * $o ) > $o ).

tff(pred_def_969,type,
    sP1744: ( vEBT_VEBT * nat * option(nat) * $o ) > $o ).

tff(pred_def_970,type,
    sP1745: ( vEBT_VEBT * nat * option(nat) * $o ) > $o ).

tff(pred_def_971,type,
    sP1746: ( vEBT_VEBT * nat * option(nat) * $o ) > $o ).

tff(pred_def_972,type,
    sP1747: ( vEBT_VEBT * nat * option(nat) * $o ) > $o ).

tff(pred_def_973,type,
    sP1748: ( vEBT_VEBT * nat * option(nat) * $o ) > $o ).

tff(pred_def_974,type,
    sP1749: ( vEBT_VEBT * nat * option(nat) * $o ) > $o ).

tff(pred_def_975,type,
    sP1750: ( vEBT_VEBT * nat * option(nat) * $o ) > $o ).

tff(pred_def_976,type,
    sP1751: ( vEBT_VEBT * nat * option(nat) * $o ) > $o ).

tff(pred_def_977,type,
    sP1752: ( vEBT_VEBT * nat * option(nat) * $o ) > $o ).

tff(pred_def_978,type,
    sP1753: ( vEBT_VEBT * nat * option(nat) * $o ) > $o ).

tff(pred_def_979,type,
    sP1754: ( vEBT_VEBT * nat * option(nat) * $o ) > $o ).

tff(pred_def_980,type,
    sP1755: ( vEBT_VEBT * nat * option(nat) * $o ) > $o ).

tff(pred_def_981,type,
    sP1756: ( vEBT_VEBT * nat * option(nat) * $o ) > $o ).

tff(pred_def_982,type,
    sP1757: ( vEBT_VEBT * nat * option(nat) * $o ) > $o ).

tff(pred_def_983,type,
    sP1758: ( vEBT_VEBT * nat * option(nat) * $o ) > $o ).

tff(pred_def_984,type,
    sP1759: ( vEBT_VEBT * nat * option(nat) * $o ) > $o ).

tff(pred_def_985,type,
    sP1760: ( vEBT_VEBT * nat * option(nat) * $o ) > $o ).

tff(pred_def_986,type,
    sP1761: ( vEBT_VEBT * nat * option(nat) * $o ) > $o ).

tff(pred_def_987,type,
    sP1762: ( vEBT_VEBT * nat * option(nat) * $o ) > $o ).

tff(pred_def_988,type,
    sP1763: ( vEBT_VEBT * nat * option(nat) * $o ) > $o ).

tff(pred_def_989,type,
    sK1764: ( vEBT_VEBT * nat * option(nat) ) > $o ).

tff(pred_def_990,type,
    sK1765: ( vEBT_VEBT * nat * option(nat) ) > $o ).

tff(pred_def_991,type,
    sK1766: ( vEBT_VEBT * nat * option(nat) ) > $o ).

tff(pred_def_992,type,
    sK1767: ( vEBT_VEBT * nat * option(nat) ) > $o ).

tff(pred_def_993,type,
    sK1768: ( vEBT_VEBT * nat * option(nat) ) > $o ).

tff(pred_def_994,type,
    sK1769: ( vEBT_VEBT * nat * option(nat) ) > $o ).

tff(pred_def_995,type,
    sP1784: ( $o * $o * option(nat) * nat * vEBT_VEBT ) > $o ).

tff(pred_def_996,type,
    sP1785: ( vEBT_VEBT * list(vEBT_VEBT) * nat * option(nat) * nat * vEBT_VEBT ) > $o ).

tff(pred_def_997,type,
    sP1786: ( vEBT_VEBT * list(vEBT_VEBT) * product_prod(nat,nat) * option(nat) * nat * vEBT_VEBT ) > $o ).

tff(pred_def_998,type,
    sP1787: ( vEBT_VEBT * list(vEBT_VEBT) * product_prod(nat,nat) * option(nat) * nat * vEBT_VEBT ) > $o ).

tff(pred_def_999,type,
    sP1788: ( vEBT_VEBT * list(vEBT_VEBT) * nat * nat * nat * option(nat) * nat * vEBT_VEBT ) > $o ).

tff(pred_def_1000,type,
    sP1789: $o > $o ).

tff(pred_def_1001,type,
    sP1790: $o > $o ).

tff(pred_def_1002,type,
    sP1791: $o > $o ).

tff(pred_def_1003,type,
    sP1792: $o > $o ).

tff(pred_def_1004,type,
    sP1793: $o > $o ).

tff(pred_def_1005,type,
    sP1794: ( $o * $o ) > $o ).

tff(pred_def_1006,type,
    sP1796: $o > $o ).

tff(pred_def_1007,type,
    sP1797: $o > $o ).

tff(pred_def_1008,type,
    sP1798: ( vEBT_VEBT * nat * option(nat) * $o ) > $o ).

tff(pred_def_1009,type,
    sP1799: ( vEBT_VEBT * nat * option(nat) * $o ) > $o ).

tff(pred_def_1010,type,
    sP1800: ( vEBT_VEBT * nat * option(nat) * $o ) > $o ).

tff(pred_def_1011,type,
    sP1801: ( vEBT_VEBT * nat * option(nat) * $o ) > $o ).

tff(pred_def_1012,type,
    sP1802: ( vEBT_VEBT * nat * option(nat) * $o ) > $o ).

tff(pred_def_1013,type,
    sP1803: ( vEBT_VEBT * nat * option(nat) * $o ) > $o ).

tff(pred_def_1014,type,
    sP1804: ( vEBT_VEBT * nat * option(nat) * $o ) > $o ).

tff(pred_def_1015,type,
    sP1805: ( vEBT_VEBT * nat * option(nat) * $o ) > $o ).

tff(pred_def_1016,type,
    sP1806: ( vEBT_VEBT * nat * option(nat) * $o ) > $o ).

tff(pred_def_1017,type,
    sP1807: ( vEBT_VEBT * nat * option(nat) * $o ) > $o ).

tff(pred_def_1018,type,
    sP1808: ( vEBT_VEBT * nat * option(nat) * $o ) > $o ).

tff(pred_def_1019,type,
    sP1809: ( vEBT_VEBT * nat * option(nat) * $o ) > $o ).

tff(pred_def_1020,type,
    sP1810: ( vEBT_VEBT * nat * option(nat) * $o ) > $o ).

tff(pred_def_1021,type,
    sP1811: ( vEBT_VEBT * nat * option(nat) * $o ) > $o ).

tff(pred_def_1022,type,
    sP1812: ( vEBT_VEBT * nat * option(nat) * $o ) > $o ).

tff(pred_def_1023,type,
    sP1813: ( vEBT_VEBT * nat * option(nat) * $o ) > $o ).

tff(pred_def_1024,type,
    sP1814: ( vEBT_VEBT * nat * option(nat) * $o ) > $o ).

tff(pred_def_1025,type,
    sP1815: ( vEBT_VEBT * nat * option(nat) * $o ) > $o ).

tff(pred_def_1026,type,
    sP1816: ( vEBT_VEBT * nat * option(nat) * $o ) > $o ).

tff(pred_def_1027,type,
    sP1817: ( vEBT_VEBT * nat * option(nat) * $o ) > $o ).

tff(pred_def_1028,type,
    sP1818: ( vEBT_VEBT * nat * option(nat) * $o ) > $o ).

tff(pred_def_1029,type,
    sP1819: ( vEBT_VEBT * nat * option(nat) * $o ) > $o ).

tff(pred_def_1030,type,
    sP1820: ( vEBT_VEBT * nat * option(nat) * $o ) > $o ).

tff(pred_def_1031,type,
    sP1821: ( vEBT_VEBT * nat * option(nat) * $o ) > $o ).

tff(pred_def_1032,type,
    sP1822: ( vEBT_VEBT * nat * option(nat) * $o ) > $o ).

tff(pred_def_1033,type,
    sP1823: ( vEBT_VEBT * nat * option(nat) * $o ) > $o ).

tff(pred_def_1034,type,
    sP1824: ( vEBT_VEBT * nat * option(nat) * $o ) > $o ).

tff(pred_def_1035,type,
    sP1825: ( vEBT_VEBT * nat * option(nat) * $o ) > $o ).

tff(pred_def_1036,type,
    sP1826: ( vEBT_VEBT * nat * option(nat) * $o ) > $o ).

tff(pred_def_1037,type,
    sP1827: ( vEBT_VEBT * nat * option(nat) * $o ) > $o ).

tff(pred_def_1038,type,
    sP1828: ( vEBT_VEBT * nat * option(nat) * $o ) > $o ).

tff(pred_def_1039,type,
    sP1829: ( vEBT_VEBT * nat * option(nat) * $o ) > $o ).

tff(pred_def_1040,type,
    sP1830: ( vEBT_VEBT * nat * option(nat) * $o ) > $o ).

tff(pred_def_1041,type,
    sP1831: ( vEBT_VEBT * nat * option(nat) * $o ) > $o ).

tff(pred_def_1042,type,
    sP1832: ( vEBT_VEBT * nat * option(nat) * $o ) > $o ).

tff(pred_def_1043,type,
    sP1833: ( vEBT_VEBT * nat * option(nat) * $o ) > $o ).

tff(pred_def_1044,type,
    sP1834: ( vEBT_VEBT * nat * option(nat) * $o ) > $o ).

tff(pred_def_1045,type,
    sP1835: ( vEBT_VEBT * nat * option(nat) * $o ) > $o ).

tff(pred_def_1046,type,
    sP1836: ( vEBT_VEBT * nat * option(nat) * $o ) > $o ).

tff(pred_def_1047,type,
    sP1837: ( vEBT_VEBT * nat * option(nat) * $o ) > $o ).

tff(pred_def_1048,type,
    sP1838: ( vEBT_VEBT * nat * option(nat) * $o ) > $o ).

tff(pred_def_1049,type,
    sP1839: ( vEBT_VEBT * nat * option(nat) * $o ) > $o ).

tff(pred_def_1050,type,
    sP1840: ( vEBT_VEBT * nat * option(nat) * $o ) > $o ).

tff(pred_def_1051,type,
    sP1841: ( vEBT_VEBT * nat * option(nat) * $o ) > $o ).

tff(pred_def_1052,type,
    sP1842: ( vEBT_VEBT * nat * option(nat) * $o ) > $o ).

tff(pred_def_1053,type,
    sP1843: ( vEBT_VEBT * nat * option(nat) * $o ) > $o ).

tff(pred_def_1054,type,
    sP1844: ( vEBT_VEBT * nat * option(nat) * $o ) > $o ).

tff(pred_def_1055,type,
    sP1845: ( vEBT_VEBT * nat * option(nat) * $o ) > $o ).

tff(pred_def_1056,type,
    sP1846: ( vEBT_VEBT * nat * option(nat) * $o ) > $o ).

tff(pred_def_1057,type,
    sP1847: ( vEBT_VEBT * nat * option(nat) * $o ) > $o ).

tff(pred_def_1058,type,
    sP1848: ( vEBT_VEBT * nat * option(nat) * $o ) > $o ).

tff(pred_def_1059,type,
    sP1849: ( vEBT_VEBT * nat * option(nat) * $o ) > $o ).

tff(pred_def_1060,type,
    sP1850: ( vEBT_VEBT * nat * option(nat) * $o ) > $o ).

tff(pred_def_1061,type,
    sP1851: ( vEBT_VEBT * nat * option(nat) * $o ) > $o ).

tff(pred_def_1062,type,
    sP1852: ( vEBT_VEBT * nat * option(nat) * $o ) > $o ).

tff(pred_def_1063,type,
    sP1853: ( vEBT_VEBT * nat * option(nat) * $o ) > $o ).

tff(pred_def_1064,type,
    sP1854: ( vEBT_VEBT * nat * option(nat) * $o ) > $o ).

tff(pred_def_1065,type,
    sP1855: ( vEBT_VEBT * nat * option(nat) * $o ) > $o ).

tff(pred_def_1066,type,
    sP1856: ( vEBT_VEBT * nat * option(nat) * $o ) > $o ).

tff(pred_def_1067,type,
    sP1857: ( vEBT_VEBT * nat * option(nat) * $o ) > $o ).

tff(pred_def_1068,type,
    sP1858: ( vEBT_VEBT * nat * option(nat) * $o ) > $o ).

tff(pred_def_1069,type,
    sP1859: ( vEBT_VEBT * nat * option(nat) * $o ) > $o ).

tff(pred_def_1070,type,
    sP1860: ( vEBT_VEBT * nat * option(nat) * $o ) > $o ).

tff(pred_def_1071,type,
    sP1861: ( vEBT_VEBT * nat * option(nat) * $o ) > $o ).

tff(pred_def_1072,type,
    sP1862: ( vEBT_VEBT * nat * option(nat) * $o ) > $o ).

tff(pred_def_1073,type,
    sP1863: ( vEBT_VEBT * nat * option(nat) * $o ) > $o ).

tff(pred_def_1074,type,
    sP1864: ( vEBT_VEBT * nat * option(nat) * $o ) > $o ).

tff(pred_def_1075,type,
    sP1865: ( vEBT_VEBT * nat * option(nat) * $o ) > $o ).

tff(pred_def_1076,type,
    sP1866: ( vEBT_VEBT * nat * option(nat) * $o ) > $o ).

tff(pred_def_1077,type,
    sP1867: ( vEBT_VEBT * nat * option(nat) * $o ) > $o ).

tff(pred_def_1078,type,
    sP1868: ( vEBT_VEBT * nat * option(nat) * $o ) > $o ).

tff(pred_def_1079,type,
    sP1869: ( vEBT_VEBT * nat * option(nat) * $o ) > $o ).

tff(pred_def_1080,type,
    sP1870: ( vEBT_VEBT * nat * option(nat) * $o ) > $o ).

tff(pred_def_1081,type,
    sP1871: ( vEBT_VEBT * nat * option(nat) * $o ) > $o ).

tff(pred_def_1082,type,
    sP1872: ( vEBT_VEBT * nat * option(nat) * $o ) > $o ).

tff(pred_def_1083,type,
    sP1873: ( vEBT_VEBT * nat * option(nat) * $o ) > $o ).

tff(pred_def_1084,type,
    sP1874: ( vEBT_VEBT * nat * option(nat) * $o ) > $o ).

tff(pred_def_1085,type,
    sP1875: ( vEBT_VEBT * nat * option(nat) * $o ) > $o ).

tff(pred_def_1086,type,
    sP1876: ( vEBT_VEBT * nat * option(nat) * $o ) > $o ).

tff(pred_def_1087,type,
    sP1877: ( vEBT_VEBT * nat * option(nat) * $o ) > $o ).

tff(pred_def_1088,type,
    sP1878: ( vEBT_VEBT * nat * option(nat) * $o ) > $o ).

tff(pred_def_1089,type,
    sP1879: ( vEBT_VEBT * nat * option(nat) * $o ) > $o ).

tff(pred_def_1090,type,
    sP1880: ( vEBT_VEBT * nat * option(nat) * $o ) > $o ).

tff(pred_def_1091,type,
    sP1881: ( vEBT_VEBT * nat * option(nat) * $o ) > $o ).

tff(pred_def_1092,type,
    sP1882: ( vEBT_VEBT * nat * option(nat) * $o ) > $o ).

tff(pred_def_1093,type,
    sP1883: ( vEBT_VEBT * nat * option(nat) * $o ) > $o ).

tff(pred_def_1094,type,
    sP1884: ( vEBT_VEBT * nat * option(nat) * $o ) > $o ).

tff(pred_def_1095,type,
    sP1885: ( vEBT_VEBT * nat * option(nat) * $o ) > $o ).

tff(pred_def_1096,type,
    sP1886: ( vEBT_VEBT * nat * option(nat) * $o ) > $o ).

tff(pred_def_1097,type,
    sP1887: ( vEBT_VEBT * nat * option(nat) * $o ) > $o ).

tff(pred_def_1098,type,
    sP1888: ( vEBT_VEBT * nat * option(nat) * $o ) > $o ).

tff(pred_def_1099,type,
    sP1889: ( vEBT_VEBT * nat * option(nat) * $o ) > $o ).

tff(pred_def_1100,type,
    sP1890: ( vEBT_VEBT * nat * option(nat) * $o ) > $o ).

tff(pred_def_1101,type,
    sP1891: ( vEBT_VEBT * nat * option(nat) * $o ) > $o ).

tff(pred_def_1102,type,
    sP1892: ( vEBT_VEBT * nat * option(nat) * $o ) > $o ).

tff(pred_def_1103,type,
    sP1893: ( vEBT_VEBT * nat * option(nat) * $o ) > $o ).

tff(pred_def_1104,type,
    sP1894: ( vEBT_VEBT * nat * option(nat) * $o ) > $o ).

tff(pred_def_1105,type,
    sP1895: ( vEBT_VEBT * nat * option(nat) * $o ) > $o ).

tff(pred_def_1106,type,
    sP1896: ( vEBT_VEBT * nat * option(nat) * $o ) > $o ).

tff(pred_def_1107,type,
    sP1897: ( vEBT_VEBT * nat * option(nat) * $o ) > $o ).

tff(pred_def_1108,type,
    sP1898: ( vEBT_VEBT * nat * option(nat) * $o ) > $o ).

tff(pred_def_1109,type,
    sP1899: ( vEBT_VEBT * nat * option(nat) * $o ) > $o ).

tff(pred_def_1110,type,
    sP1900: ( vEBT_VEBT * nat * option(nat) * $o ) > $o ).

tff(pred_def_1111,type,
    sP1901: ( vEBT_VEBT * nat * option(nat) * $o ) > $o ).

tff(pred_def_1112,type,
    sP1902: ( vEBT_VEBT * nat * option(nat) * $o ) > $o ).

tff(pred_def_1113,type,
    sP1903: ( vEBT_VEBT * nat * option(nat) * $o ) > $o ).

tff(pred_def_1114,type,
    sP1904: ( vEBT_VEBT * nat * option(nat) * $o ) > $o ).

tff(pred_def_1115,type,
    sP1905: ( vEBT_VEBT * nat * option(nat) * $o ) > $o ).

tff(pred_def_1116,type,
    sP1906: ( vEBT_VEBT * nat * option(nat) * $o ) > $o ).

tff(pred_def_1117,type,
    sP1907: ( vEBT_VEBT * nat * option(nat) * $o ) > $o ).

tff(pred_def_1118,type,
    sP1908: ( vEBT_VEBT * nat * option(nat) * $o ) > $o ).

tff(pred_def_1119,type,
    sP1909: ( vEBT_VEBT * nat * option(nat) * $o ) > $o ).

tff(pred_def_1120,type,
    sP1910: ( vEBT_VEBT * nat * option(nat) * $o ) > $o ).

tff(pred_def_1121,type,
    sP1911: ( vEBT_VEBT * nat * option(nat) * $o ) > $o ).

tff(pred_def_1122,type,
    sP1912: ( vEBT_VEBT * nat * option(nat) * $o ) > $o ).

tff(pred_def_1123,type,
    sP1913: ( vEBT_VEBT * nat * option(nat) * $o ) > $o ).

tff(pred_def_1124,type,
    sP1914: ( vEBT_VEBT * nat * option(nat) * $o ) > $o ).

tff(pred_def_1125,type,
    sP1915: ( vEBT_VEBT * nat * option(nat) * $o ) > $o ).

tff(pred_def_1126,type,
    sP1916: ( vEBT_VEBT * nat * option(nat) * $o ) > $o ).

tff(pred_def_1127,type,
    sP1917: ( vEBT_VEBT * nat * option(nat) * $o ) > $o ).

tff(pred_def_1128,type,
    sP1918: ( vEBT_VEBT * nat * option(nat) * $o ) > $o ).

tff(pred_def_1129,type,
    sP1919: ( vEBT_VEBT * nat * option(nat) * $o ) > $o ).

tff(pred_def_1130,type,
    sP1920: ( vEBT_VEBT * nat * option(nat) * $o ) > $o ).

tff(pred_def_1131,type,
    sP1921: ( vEBT_VEBT * nat * option(nat) * $o ) > $o ).

tff(pred_def_1132,type,
    sP1922: ( vEBT_VEBT * nat * option(nat) * $o ) > $o ).

tff(pred_def_1133,type,
    sP1923: ( vEBT_VEBT * nat * option(nat) * $o ) > $o ).

tff(pred_def_1134,type,
    sP1924: ( vEBT_VEBT * nat * option(nat) * $o ) > $o ).

tff(pred_def_1135,type,
    sP1925: ( vEBT_VEBT * nat * option(nat) * $o ) > $o ).

tff(pred_def_1136,type,
    sP1926: ( vEBT_VEBT * nat * option(nat) * $o ) > $o ).

tff(pred_def_1137,type,
    sP1927: ( vEBT_VEBT * nat * option(nat) * $o ) > $o ).

tff(pred_def_1138,type,
    sP1928: ( vEBT_VEBT * nat * option(nat) * $o ) > $o ).

tff(pred_def_1139,type,
    sP1929: ( vEBT_VEBT * nat * option(nat) * $o ) > $o ).

tff(pred_def_1140,type,
    sP1930: ( vEBT_VEBT * nat * option(nat) * $o ) > $o ).

tff(pred_def_1141,type,
    sP1931: ( vEBT_VEBT * nat * option(nat) * $o ) > $o ).

tff(pred_def_1142,type,
    sP1932: ( vEBT_VEBT * nat * option(nat) * $o ) > $o ).

tff(pred_def_1143,type,
    sP1933: ( vEBT_VEBT * nat * option(nat) * $o ) > $o ).

tff(pred_def_1144,type,
    sP1934: ( vEBT_VEBT * nat * option(nat) * $o ) > $o ).

tff(pred_def_1145,type,
    sP1935: ( vEBT_VEBT * nat * option(nat) * $o ) > $o ).

tff(pred_def_1146,type,
    sP1936: ( vEBT_VEBT * nat * option(nat) * $o ) > $o ).

tff(pred_def_1147,type,
    sP1937: ( vEBT_VEBT * nat * option(nat) * $o ) > $o ).

tff(pred_def_1148,type,
    sP1938: ( vEBT_VEBT * nat * option(nat) * $o ) > $o ).

tff(pred_def_1149,type,
    sP1939: ( vEBT_VEBT * nat * option(nat) * $o ) > $o ).

tff(pred_def_1150,type,
    sP1940: ( vEBT_VEBT * nat * option(nat) * $o ) > $o ).

tff(pred_def_1151,type,
    sP1941: ( vEBT_VEBT * nat * option(nat) * $o ) > $o ).

tff(pred_def_1152,type,
    sP1942: ( vEBT_VEBT * nat * option(nat) * $o ) > $o ).

tff(pred_def_1153,type,
    sP1943: ( vEBT_VEBT * nat * option(nat) * $o ) > $o ).

tff(pred_def_1154,type,
    sP1944: ( vEBT_VEBT * nat * option(nat) * $o ) > $o ).

tff(pred_def_1155,type,
    sP1945: ( vEBT_VEBT * nat * option(nat) * $o ) > $o ).

tff(pred_def_1156,type,
    sP1946: ( vEBT_VEBT * nat * option(nat) * $o ) > $o ).

tff(pred_def_1157,type,
    sP1947: ( vEBT_VEBT * nat * option(nat) * $o ) > $o ).

tff(pred_def_1158,type,
    sP1948: ( vEBT_VEBT * nat * option(nat) * $o ) > $o ).

tff(pred_def_1159,type,
    sP1949: ( vEBT_VEBT * nat * option(nat) * $o ) > $o ).

tff(pred_def_1160,type,
    sP1950: ( vEBT_VEBT * nat * option(nat) * $o ) > $o ).

tff(pred_def_1161,type,
    sP1951: ( vEBT_VEBT * nat * option(nat) * $o ) > $o ).

tff(pred_def_1162,type,
    sP1952: ( vEBT_VEBT * nat * option(nat) * $o ) > $o ).

tff(pred_def_1163,type,
    sP1953: ( vEBT_VEBT * nat * option(nat) * $o ) > $o ).

tff(pred_def_1164,type,
    sP1954: ( vEBT_VEBT * nat * option(nat) * $o ) > $o ).

tff(pred_def_1165,type,
    sP1955: ( vEBT_VEBT * nat * option(nat) * $o ) > $o ).

tff(pred_def_1166,type,
    sP1956: ( vEBT_VEBT * nat * option(nat) * $o ) > $o ).

tff(pred_def_1167,type,
    sP1957: ( vEBT_VEBT * nat * option(nat) * $o ) > $o ).

tff(pred_def_1168,type,
    sP1958: ( vEBT_VEBT * nat * option(nat) * $o ) > $o ).

tff(pred_def_1169,type,
    sP1959: ( vEBT_VEBT * nat * option(nat) * $o ) > $o ).

tff(pred_def_1170,type,
    sP1960: ( vEBT_VEBT * nat * option(nat) * $o ) > $o ).

tff(pred_def_1171,type,
    sP1961: ( vEBT_VEBT * nat * option(nat) * $o ) > $o ).

tff(pred_def_1172,type,
    sP1962: ( vEBT_VEBT * nat * option(nat) * $o ) > $o ).

tff(pred_def_1173,type,
    sP1963: ( vEBT_VEBT * nat * option(nat) * $o ) > $o ).

tff(pred_def_1174,type,
    sP1964: ( vEBT_VEBT * nat * option(nat) * $o ) > $o ).

tff(pred_def_1175,type,
    sP1965: ( vEBT_VEBT * nat * option(nat) * $o ) > $o ).

tff(pred_def_1176,type,
    sP1966: ( vEBT_VEBT * nat * option(nat) * $o ) > $o ).

tff(pred_def_1177,type,
    sP1967: ( vEBT_VEBT * nat * option(nat) * $o ) > $o ).

tff(pred_def_1178,type,
    sP1968: ( vEBT_VEBT * nat * option(nat) * $o ) > $o ).

tff(pred_def_1179,type,
    sP1969: ( vEBT_VEBT * nat * option(nat) * $o ) > $o ).

tff(pred_def_1180,type,
    sP1970: ( vEBT_VEBT * nat * option(nat) * $o ) > $o ).

tff(pred_def_1181,type,
    sP1971: ( vEBT_VEBT * nat * option(nat) * $o ) > $o ).

tff(pred_def_1182,type,
    sP1972: ( vEBT_VEBT * nat * option(nat) * $o ) > $o ).

tff(pred_def_1183,type,
    sP1973: ( vEBT_VEBT * nat * option(nat) * $o ) > $o ).

tff(pred_def_1184,type,
    sP1974: ( vEBT_VEBT * nat * option(nat) * $o ) > $o ).

tff(pred_def_1185,type,
    sP1975: ( vEBT_VEBT * nat * option(nat) * $o ) > $o ).

tff(pred_def_1186,type,
    sP1976: ( vEBT_VEBT * nat * option(nat) * $o ) > $o ).

tff(pred_def_1187,type,
    sP1977: ( vEBT_VEBT * nat * option(nat) * $o ) > $o ).

tff(pred_def_1188,type,
    sP1978: ( vEBT_VEBT * nat * option(nat) * $o ) > $o ).

tff(pred_def_1189,type,
    sP1979: ( vEBT_VEBT * nat * option(nat) * $o ) > $o ).

tff(pred_def_1190,type,
    sP1980: ( vEBT_VEBT * nat * option(nat) * $o ) > $o ).

tff(pred_def_1191,type,
    sP1981: ( vEBT_VEBT * nat * option(nat) * $o ) > $o ).

tff(pred_def_1192,type,
    sP1982: ( vEBT_VEBT * nat * option(nat) * $o ) > $o ).

tff(pred_def_1193,type,
    sP1983: ( vEBT_VEBT * nat * option(nat) * $o ) > $o ).

tff(pred_def_1194,type,
    sP1984: ( vEBT_VEBT * nat * option(nat) * $o ) > $o ).

tff(pred_def_1195,type,
    sP1985: ( vEBT_VEBT * nat * option(nat) * $o ) > $o ).

tff(pred_def_1196,type,
    sP1986: ( vEBT_VEBT * nat * option(nat) * $o ) > $o ).

tff(pred_def_1197,type,
    sP1987: ( vEBT_VEBT * nat * option(nat) * $o ) > $o ).

tff(pred_def_1198,type,
    sP1988: ( vEBT_VEBT * nat * option(nat) * $o ) > $o ).

tff(pred_def_1199,type,
    sP1989: ( vEBT_VEBT * nat * option(nat) * $o ) > $o ).

tff(pred_def_1200,type,
    sP1990: ( vEBT_VEBT * nat * option(nat) * $o ) > $o ).

tff(pred_def_1201,type,
    sP1991: ( vEBT_VEBT * nat * option(nat) * $o ) > $o ).

tff(pred_def_1202,type,
    sP1992: ( vEBT_VEBT * nat * option(nat) * $o ) > $o ).

tff(pred_def_1203,type,
    sP1993: ( vEBT_VEBT * nat * option(nat) * $o ) > $o ).

tff(pred_def_1204,type,
    sP1994: ( vEBT_VEBT * nat * option(nat) * $o ) > $o ).

tff(pred_def_1205,type,
    sP1995: ( vEBT_VEBT * nat * option(nat) * $o ) > $o ).

tff(pred_def_1206,type,
    sP1996: ( vEBT_VEBT * nat * option(nat) * $o ) > $o ).

tff(pred_def_1207,type,
    sP1997: ( vEBT_VEBT * nat * option(nat) * $o ) > $o ).

tff(pred_def_1208,type,
    sP1998: ( vEBT_VEBT * nat * option(nat) * $o ) > $o ).

tff(pred_def_1209,type,
    sP1999: ( vEBT_VEBT * nat * option(nat) * $o ) > $o ).

tff(pred_def_1210,type,
    sP2000: ( vEBT_VEBT * nat * option(nat) * $o ) > $o ).

tff(pred_def_1211,type,
    sP2001: ( vEBT_VEBT * nat * option(nat) * $o ) > $o ).

tff(pred_def_1212,type,
    sP2002: ( vEBT_VEBT * nat * option(nat) * $o ) > $o ).

tff(pred_def_1213,type,
    sP2003: ( vEBT_VEBT * nat * option(nat) * $o ) > $o ).

tff(pred_def_1214,type,
    sP2004: ( vEBT_VEBT * nat * option(nat) * $o ) > $o ).

tff(pred_def_1215,type,
    sP2005: ( vEBT_VEBT * nat * option(nat) * $o ) > $o ).

tff(pred_def_1216,type,
    sP2006: ( vEBT_VEBT * nat * option(nat) * $o ) > $o ).

tff(pred_def_1217,type,
    sP2007: ( vEBT_VEBT * nat * option(nat) * $o ) > $o ).

tff(pred_def_1218,type,
    sP2008: ( vEBT_VEBT * nat * option(nat) * $o ) > $o ).

tff(pred_def_1219,type,
    sP2009: ( vEBT_VEBT * nat * option(nat) * $o ) > $o ).

tff(pred_def_1220,type,
    sP2010: ( vEBT_VEBT * nat * option(nat) * $o ) > $o ).

tff(pred_def_1221,type,
    sP2011: ( vEBT_VEBT * nat * option(nat) * $o ) > $o ).

tff(pred_def_1222,type,
    sP2012: ( vEBT_VEBT * nat * option(nat) * $o ) > $o ).

tff(pred_def_1223,type,
    sP2013: ( vEBT_VEBT * nat * option(nat) * $o ) > $o ).

tff(pred_def_1224,type,
    sP2014: ( vEBT_VEBT * nat * option(nat) * $o ) > $o ).

tff(pred_def_1225,type,
    sP2015: ( vEBT_VEBT * nat * option(nat) * $o ) > $o ).

tff(pred_def_1226,type,
    sP2016: ( vEBT_VEBT * nat * option(nat) * $o ) > $o ).

tff(pred_def_1227,type,
    sP2017: ( vEBT_VEBT * nat * option(nat) * $o ) > $o ).

tff(pred_def_1228,type,
    sP2018: ( vEBT_VEBT * nat * option(nat) * $o ) > $o ).

tff(pred_def_1229,type,
    sP2019: ( vEBT_VEBT * nat * option(nat) * $o ) > $o ).

tff(pred_def_1230,type,
    sP2020: ( vEBT_VEBT * nat * option(nat) * $o ) > $o ).

tff(pred_def_1231,type,
    sP2021: ( vEBT_VEBT * nat * option(nat) * $o ) > $o ).

tff(pred_def_1232,type,
    sP2022: ( vEBT_VEBT * nat * option(nat) * $o ) > $o ).

tff(pred_def_1233,type,
    sP2023: ( vEBT_VEBT * nat * option(nat) * $o ) > $o ).

tff(pred_def_1234,type,
    sP2024: ( vEBT_VEBT * nat * option(nat) * $o ) > $o ).

tff(pred_def_1235,type,
    sP2025: ( vEBT_VEBT * nat * option(nat) * $o ) > $o ).

tff(pred_def_1236,type,
    sP2026: ( vEBT_VEBT * nat * option(nat) * $o ) > $o ).

tff(pred_def_1237,type,
    sP2027: ( vEBT_VEBT * nat * option(nat) * $o ) > $o ).

tff(pred_def_1238,type,
    sP2028: ( vEBT_VEBT * nat * option(nat) * $o ) > $o ).

tff(pred_def_1239,type,
    sP2029: ( vEBT_VEBT * nat * option(nat) * $o ) > $o ).

tff(pred_def_1240,type,
    sP2030: ( vEBT_VEBT * nat * option(nat) * $o ) > $o ).

tff(pred_def_1241,type,
    sP2031: ( vEBT_VEBT * nat * option(nat) * $o ) > $o ).

tff(pred_def_1242,type,
    sP2032: ( vEBT_VEBT * nat * option(nat) * $o ) > $o ).

tff(pred_def_1243,type,
    sP2033: ( vEBT_VEBT * nat * option(nat) * $o ) > $o ).

tff(pred_def_1244,type,
    sP2034: ( vEBT_VEBT * nat * option(nat) * $o ) > $o ).

tff(pred_def_1245,type,
    sP2035: ( vEBT_VEBT * nat * option(nat) * $o ) > $o ).

tff(pred_def_1246,type,
    sP2036: ( vEBT_VEBT * nat * option(nat) * $o ) > $o ).

tff(pred_def_1247,type,
    sP2037: ( vEBT_VEBT * nat * option(nat) * $o ) > $o ).

tff(pred_def_1248,type,
    sP2041: ( nat * nat * nat ) > $o ).

tff(pred_def_1249,type,
    sP2042: ( nat * nat * nat ) > $o ).

tff(pred_def_1250,type,
    sP2043: ( nat * nat * nat ) > $o ).

tff(pred_def_1251,type,
    sP2044: ( nat * list(vEBT_VEBT) * nat * nat ) > $o ).

tff(pred_def_1252,type,
    sP2045: ( nat * nat ) > $o ).

tff(pred_def_1253,type,
    sP2046: ( nat * nat ) > $o ).

tff(pred_def_1254,type,
    sK2047: ( vEBT_VEBT * nat * vEBT_VEBT ) > $o ).

tff(pred_def_1255,type,
    sK2048: ( vEBT_VEBT * nat * vEBT_VEBT ) > $o ).

tff(pred_def_1256,type,
    sK2049: ( vEBT_VEBT * nat * vEBT_VEBT ) > $o ).

tff(pred_def_1257,type,
    sK2050: ( vEBT_VEBT * nat * vEBT_VEBT ) > $o ).

tff(pred_def_1258,type,
    sK2051: ( vEBT_VEBT * nat * vEBT_VEBT ) > $o ).

tff(pred_def_1259,type,
    sK2052: ( vEBT_VEBT * nat * vEBT_VEBT ) > $o ).

tff(pred_def_1260,type,
    sP2069: ( $o * $o * vEBT_VEBT * nat * vEBT_VEBT ) > $o ).

tff(pred_def_1261,type,
    sP2070: ( vEBT_VEBT * list(vEBT_VEBT) * nat * vEBT_VEBT * nat * vEBT_VEBT ) > $o ).

tff(pred_def_1262,type,
    sP2071: ( vEBT_VEBT * list(vEBT_VEBT) * nat * nat * vEBT_VEBT * nat * vEBT_VEBT ) > $o ).

tff(pred_def_1263,type,
    sP2072: ( vEBT_VEBT * list(vEBT_VEBT) * nat * nat * vEBT_VEBT * nat * vEBT_VEBT ) > $o ).

tff(pred_def_1264,type,
    sP2073: ( vEBT_VEBT * list(vEBT_VEBT) * nat * nat * nat * vEBT_VEBT * nat * vEBT_VEBT ) > $o ).

tff(pred_def_1265,type,
    sP2074: $o > $o ).

tff(pred_def_1266,type,
    sP2075: $o > $o ).

tff(pred_def_1267,type,
    sP2076: $o > $o ).

tff(pred_def_1268,type,
    sP2077: $o > $o ).

tff(pred_def_1269,type,
    sP2078: $o > $o ).

tff(pred_def_1270,type,
    sP2079: $o > $o ).

tff(pred_def_1271,type,
    sP2080: ( $o * $o ) > $o ).

tff(pred_def_1272,type,
    sP2082: $o > $o ).

tff(pred_def_1273,type,
    sP2083: $o > $o ).

tff(pred_def_1274,type,
    sP2084: ( vEBT_VEBT * list(vEBT_VEBT) * nat * nat * nat * nat * nat ) > $o ).

tff(pred_def_1275,type,
    sP2085: ( vEBT_VEBT * list(vEBT_VEBT) * nat * nat * nat * nat ) > $o ).

tff(pred_def_1276,type,
    sP2086: ( vEBT_VEBT * list(vEBT_VEBT) * nat * nat * nat * nat ) > $o ).

tff(pred_def_1277,type,
    sP2087: ( vEBT_VEBT * list(vEBT_VEBT) * nat * nat * nat * nat * nat ) > $o ).

tff(pred_def_1278,type,
    sP2088: ( vEBT_VEBT * list(vEBT_VEBT) * nat * nat * nat * nat ) > $o ).

tff(pred_def_1279,type,
    sP2089: ( vEBT_VEBT * list(vEBT_VEBT) * nat * nat * nat * nat * nat ) > $o ).

tff(pred_def_1280,type,
    sP2090: ( vEBT_VEBT * list(vEBT_VEBT) * nat * nat * nat * nat ) > $o ).

tff(pred_def_1281,type,
    sP2091: ( vEBT_VEBT * list(vEBT_VEBT) * nat * nat * nat * nat ) > $o ).

tff(pred_def_1282,type,
    sP2092: ( vEBT_VEBT * list(vEBT_VEBT) * nat * nat * nat * nat * nat ) > $o ).

tff(pred_def_1283,type,
    sP2093: ( vEBT_VEBT * list(vEBT_VEBT) * nat * nat * nat * nat ) > $o ).

tff(pred_def_1284,type,
    sP2094: ( vEBT_VEBT * list(vEBT_VEBT) * nat * nat * nat * nat ) > $o ).

tff(pred_def_1285,type,
    sP2095: ( vEBT_VEBT * list(vEBT_VEBT) * nat * nat * nat * nat ) > $o ).

tff(pred_def_1286,type,
    sP2096: ( vEBT_VEBT * list(vEBT_VEBT) * nat * nat * nat * nat ) > $o ).

tff(pred_def_1287,type,
    sP2097: ( vEBT_VEBT * list(vEBT_VEBT) * nat * nat * nat * nat ) > $o ).

tff(pred_def_1288,type,
    sP2098: ( vEBT_VEBT * list(vEBT_VEBT) * nat * nat * nat * nat ) > $o ).

tff(pred_def_1289,type,
    sP2099: ( vEBT_VEBT * list(vEBT_VEBT) * nat * nat * nat * nat ) > $o ).

tff(pred_def_1290,type,
    sP2100: ( vEBT_VEBT * list(vEBT_VEBT) * nat * nat * nat * nat ) > $o ).

tff(pred_def_1291,type,
    sP2101: ( vEBT_VEBT * list(vEBT_VEBT) * nat * nat * nat * nat ) > $o ).

tff(pred_def_1292,type,
    sP2102: ( vEBT_VEBT * list(vEBT_VEBT) * nat * nat * nat * nat ) > $o ).

tff(pred_def_1293,type,
    sP2103: ( vEBT_VEBT * list(vEBT_VEBT) * nat * nat * nat * nat ) > $o ).

tff(pred_def_1294,type,
    sP2104: ( vEBT_VEBT * list(vEBT_VEBT) * nat * nat * nat * nat ) > $o ).

tff(pred_def_1295,type,
    sP2105: ( vEBT_VEBT * list(vEBT_VEBT) * nat * nat * nat * nat ) > $o ).

tff(pred_def_1296,type,
    sP2106: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_1297,type,
    sP2107: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_1298,type,
    sP2108: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_1299,type,
    sP2109: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_1300,type,
    sP2110: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_1301,type,
    sP2111: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_1302,type,
    sP2112: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_1303,type,
    sP2113: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_1304,type,
    sP2114: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_1305,type,
    sP2115: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_1306,type,
    sP2116: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_1307,type,
    sP2117: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_1308,type,
    sP2118: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_1309,type,
    sP2119: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_1310,type,
    sP2120: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_1311,type,
    sP2121: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_1312,type,
    sP2122: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_1313,type,
    sP2123: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_1314,type,
    sP2124: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_1315,type,
    sP2125: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_1316,type,
    sP2126: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_1317,type,
    sP2127: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_1318,type,
    sP2128: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_1319,type,
    sP2129: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_1320,type,
    sP2130: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_1321,type,
    sP2131: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_1322,type,
    sP2132: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_1323,type,
    sP2133: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_1324,type,
    sP2134: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_1325,type,
    sP2135: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_1326,type,
    sP2136: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_1327,type,
    sP2137: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_1328,type,
    sP2138: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_1329,type,
    sP2139: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_1330,type,
    sP2140: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_1331,type,
    sP2141: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_1332,type,
    sP2142: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_1333,type,
    sP2143: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_1334,type,
    sP2144: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_1335,type,
    sP2145: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_1336,type,
    sP2146: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_1337,type,
    sP2147: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_1338,type,
    sP2148: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_1339,type,
    sP2149: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_1340,type,
    sP2150: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_1341,type,
    sP2151: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_1342,type,
    sP2152: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_1343,type,
    sP2153: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_1344,type,
    sP2154: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_1345,type,
    sP2155: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_1346,type,
    sP2156: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_1347,type,
    sP2157: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_1348,type,
    sP2158: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_1349,type,
    sP2159: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_1350,type,
    sP2160: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_1351,type,
    sP2161: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_1352,type,
    sP2162: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_1353,type,
    sP2163: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_1354,type,
    sP2164: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_1355,type,
    sP2165: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_1356,type,
    sP2166: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_1357,type,
    sP2167: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_1358,type,
    sP2168: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_1359,type,
    sP2169: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_1360,type,
    sP2170: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_1361,type,
    sP2171: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_1362,type,
    sP2172: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_1363,type,
    sP2173: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_1364,type,
    sP2174: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_1365,type,
    sP2175: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_1366,type,
    sP2176: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_1367,type,
    sP2177: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_1368,type,
    sP2178: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_1369,type,
    sP2179: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_1370,type,
    sP2180: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_1371,type,
    sP2181: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_1372,type,
    sP2182: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_1373,type,
    sP2183: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_1374,type,
    sP2184: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_1375,type,
    sP2185: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_1376,type,
    sP2186: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_1377,type,
    sP2187: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_1378,type,
    sP2188: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_1379,type,
    sP2189: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_1380,type,
    sP2190: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_1381,type,
    sP2191: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_1382,type,
    sP2192: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_1383,type,
    sP2193: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_1384,type,
    sP2194: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_1385,type,
    sP2195: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_1386,type,
    sP2196: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_1387,type,
    sP2197: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_1388,type,
    sP2198: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_1389,type,
    sP2199: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_1390,type,
    sP2200: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_1391,type,
    sP2201: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_1392,type,
    sP2202: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_1393,type,
    sP2203: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_1394,type,
    sP2204: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_1395,type,
    sP2205: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_1396,type,
    sP2206: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_1397,type,
    sP2207: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_1398,type,
    sP2208: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_1399,type,
    sP2209: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_1400,type,
    sP2210: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_1401,type,
    sP2211: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_1402,type,
    sP2212: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_1403,type,
    sP2213: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_1404,type,
    sP2214: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_1405,type,
    sP2215: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_1406,type,
    sP2216: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_1407,type,
    sP2217: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_1408,type,
    sP2218: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_1409,type,
    sP2219: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_1410,type,
    sP2220: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_1411,type,
    sP2221: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_1412,type,
    sP2222: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_1413,type,
    sP2223: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_1414,type,
    sP2224: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_1415,type,
    sP2225: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_1416,type,
    sP2226: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_1417,type,
    sP2227: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_1418,type,
    sP2228: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_1419,type,
    sP2229: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_1420,type,
    sP2230: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_1421,type,
    sP2231: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_1422,type,
    sP2232: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_1423,type,
    sP2233: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_1424,type,
    sP2234: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_1425,type,
    sP2235: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_1426,type,
    sP2236: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_1427,type,
    sP2237: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_1428,type,
    sP2238: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_1429,type,
    sP2239: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_1430,type,
    sP2240: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_1431,type,
    sP2241: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_1432,type,
    sP2242: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_1433,type,
    sP2243: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_1434,type,
    sP2244: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_1435,type,
    sP2245: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_1436,type,
    sP2246: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_1437,type,
    sP2247: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_1438,type,
    sP2248: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_1439,type,
    sP2249: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_1440,type,
    sP2250: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_1441,type,
    sP2251: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_1442,type,
    sP2252: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_1443,type,
    sP2253: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_1444,type,
    sP2254: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_1445,type,
    sP2255: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_1446,type,
    sP2256: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_1447,type,
    sP2257: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_1448,type,
    sP2258: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_1449,type,
    sP2259: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_1450,type,
    sP2260: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_1451,type,
    sP2261: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_1452,type,
    sP2262: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_1453,type,
    sP2263: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_1454,type,
    sP2264: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_1455,type,
    sP2265: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_1456,type,
    sP2266: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_1457,type,
    sP2267: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_1458,type,
    sP2268: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_1459,type,
    sP2269: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_1460,type,
    sP2270: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_1461,type,
    sP2271: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_1462,type,
    sP2272: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_1463,type,
    sP2273: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_1464,type,
    sP2274: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_1465,type,
    sP2275: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_1466,type,
    sP2276: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_1467,type,
    sP2277: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_1468,type,
    sP2278: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_1469,type,
    sP2279: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_1470,type,
    sP2280: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_1471,type,
    sP2281: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_1472,type,
    sP2282: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_1473,type,
    sP2283: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_1474,type,
    sP2284: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_1475,type,
    sP2285: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_1476,type,
    sP2286: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_1477,type,
    sP2287: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_1478,type,
    sP2288: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_1479,type,
    sP2289: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_1480,type,
    sP2290: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_1481,type,
    sP2291: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_1482,type,
    sP2292: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_1483,type,
    sP2293: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_1484,type,
    sP2294: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_1485,type,
    sP2295: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_1486,type,
    sP2296: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_1487,type,
    sP2297: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_1488,type,
    sP2298: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_1489,type,
    sP2299: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_1490,type,
    sP2300: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_1491,type,
    sP2301: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_1492,type,
    sP2302: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_1493,type,
    sP2303: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_1494,type,
    sP2304: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_1495,type,
    sP2305: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_1496,type,
    sP2306: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_1497,type,
    sP2307: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_1498,type,
    sP2308: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_1499,type,
    sP2309: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_1500,type,
    sP2310: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_1501,type,
    sP2311: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_1502,type,
    sP2312: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_1503,type,
    sP2313: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_1504,type,
    sP2314: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_1505,type,
    sP2315: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_1506,type,
    sP2316: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_1507,type,
    sP2317: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_1508,type,
    sP2318: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_1509,type,
    sP2319: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_1510,type,
    sP2320: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_1511,type,
    sP2321: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_1512,type,
    sP2322: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_1513,type,
    sP2323: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_1514,type,
    sP2324: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_1515,type,
    sP2325: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_1516,type,
    sP2326: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_1517,type,
    sP2327: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_1518,type,
    sP2328: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_1519,type,
    sP2329: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_1520,type,
    sP2330: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_1521,type,
    sP2331: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_1522,type,
    sP2332: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_1523,type,
    sP2333: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_1524,type,
    sP2334: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_1525,type,
    sP2335: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_1526,type,
    sP2336: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_1527,type,
    sP2337: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_1528,type,
    sP2338: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_1529,type,
    sP2339: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_1530,type,
    sP2340: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_1531,type,
    sP2341: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_1532,type,
    sP2342: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_1533,type,
    sP2343: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_1534,type,
    sP2344: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_1535,type,
    sP2345: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_1536,type,
    sP2346: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_1537,type,
    sP2347: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_1538,type,
    sP2348: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_1539,type,
    sP2349: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_1540,type,
    sP2350: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_1541,type,
    sP2351: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_1542,type,
    sP2352: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_1543,type,
    sP2353: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_1544,type,
    sP2354: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_1545,type,
    sP2355: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_1546,type,
    sP2356: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_1547,type,
    sP2357: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_1548,type,
    sP2358: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_1549,type,
    sP2359: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_1550,type,
    sP2360: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_1551,type,
    sP2361: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_1552,type,
    sP2362: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_1553,type,
    sP2363: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_1554,type,
    sP2364: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_1555,type,
    sP2365: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_1556,type,
    sP2366: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_1557,type,
    sP2367: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_1558,type,
    sP2368: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_1559,type,
    sP2369: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_1560,type,
    sK2370: ( vEBT_VEBT * nat * vEBT_VEBT ) > $o ).

tff(pred_def_1561,type,
    sK2371: ( vEBT_VEBT * nat * vEBT_VEBT ) > $o ).

tff(pred_def_1562,type,
    sP2386: ( vEBT_VEBT * list(vEBT_VEBT) * option(product_prod(nat,nat)) * vEBT_VEBT * nat * vEBT_VEBT ) > $o ).

tff(pred_def_1563,type,
    sP2387: ( vEBT_VEBT * list(vEBT_VEBT) * nat * vEBT_VEBT * nat * vEBT_VEBT ) > $o ).

tff(pred_def_1564,type,
    sP2388: ( vEBT_VEBT * list(vEBT_VEBT) * nat * nat * nat * vEBT_VEBT * nat * vEBT_VEBT ) > $o ).

tff(pred_def_1565,type,
    sP2389: $o > $o ).

tff(pred_def_1566,type,
    sP2390: $o > $o ).

tff(pred_def_1567,type,
    sP2391: $o > $o ).

tff(pred_def_1568,type,
    sP2392: $o > $o ).

tff(pred_def_1569,type,
    sP2393: ( nat * nat * nat ) > $o ).

tff(pred_def_1570,type,
    sP2394: ( nat * nat * nat ) > $o ).

tff(pred_def_1571,type,
    sP2395: ( nat * nat * nat ) > $o ).

tff(pred_def_1572,type,
    sP2396: $o > $o ).

tff(pred_def_1573,type,
    sP2397: $o > $o ).

tff(pred_def_1574,type,
    sP2398: ( list(vEBT_VEBT) * nat * nat * nat ) > $o ).

tff(pred_def_1575,type,
    sP2399: ( nat * nat ) > $o ).

tff(pred_def_1576,type,
    sP2400: ( nat * nat ) > $o ).

tff(pred_def_1577,type,
    sK2401: ( vEBT_VEBT * nat * $o ) > $o ).

tff(pred_def_1578,type,
    sK2402: ( vEBT_VEBT * nat * $o ) > $o ).

tff(pred_def_1579,type,
    sP2417: ( vEBT_VEBT * list(vEBT_VEBT) * product_prod(nat,nat) * $o * nat * vEBT_VEBT ) > $o ).

tff(pred_def_1580,type,
    sP2418: ( vEBT_VEBT * list(vEBT_VEBT) * product_prod(nat,nat) * $o * nat * vEBT_VEBT ) > $o ).

tff(pred_def_1581,type,
    sP2419: ( vEBT_VEBT * list(vEBT_VEBT) * nat * nat * nat * $o * nat * vEBT_VEBT ) > $o ).

tff(pred_def_1582,type,
    sP2420: $o > $o ).

tff(pred_def_1583,type,
    sP2421: ( vEBT_VEBT * list(vEBT_VEBT) * nat * nat ) > $o ).

tff(pred_def_1584,type,
    sP2422: $o > $o ).

tff(pred_def_1585,type,
    sP2423: $o > $o ).

tff(pred_def_1586,type,
    sP2424: $o > $o ).

tff(pred_def_1587,type,
    sP2425: ( $o * $o * nat ) > $o ).

tff(pred_def_1588,type,
    sP2426: $o > $o ).

tff(pred_def_1589,type,
    sP2427: $o > $o ).

tff(pred_def_1590,type,
    sK2428: ( vEBT_VEBT * nat ) > $o ).

tff(pred_def_1591,type,
    sK2429: ( vEBT_VEBT * nat ) > $o ).

tff(pred_def_1592,type,
    sP2444: ( vEBT_VEBT * list(vEBT_VEBT) * product_prod(nat,nat) * nat * vEBT_VEBT ) > $o ).

tff(pred_def_1593,type,
    sP2445: ( vEBT_VEBT * list(vEBT_VEBT) * nat * nat * nat * nat * vEBT_VEBT ) > $o ).

tff(pred_def_1594,type,
    sP2446: ( vEBT_VEBT * list(vEBT_VEBT) * nat * nat ) > $o ).

tff(pred_def_1595,type,
    sP2447: ( vEBT_VEBT * list(vEBT_VEBT) * product_prod(nat,nat) * nat ) > $o ).

tff(pred_def_1596,type,
    sP2448: $o > $o ).

tff(pred_def_1597,type,
    sP2449: $o > $o ).

tff(pred_def_1598,type,
    sP2450: $o > $o ).

tff(pred_def_1599,type,
    sP2451: $o > $o ).

tff(pred_def_1600,type,
    sK2452: ( vEBT_VEBT * nat ) > $o ).

tff(pred_def_1601,type,
    sK2453: ( vEBT_VEBT * nat ) > $o ).

tff(pred_def_1602,type,
    sP2461: ( vEBT_VEBT * list(vEBT_VEBT) * option(product_prod(nat,nat)) * nat ) > $o ).

tff(pred_def_1603,type,
    sP2462: ( vEBT_VEBT * list(vEBT_VEBT) * nat * option(product_prod(nat,nat)) * nat ) > $o ).

tff(pred_def_1604,type,
    sP2463: ( list(vEBT_VEBT) * nat * nat ) > $o ).

tff(pred_def_1605,type,
    sP2464: $o > $o ).

tff(pred_def_1606,type,
    sP2465: $o > $o ).

tff(pred_def_1607,type,
    sP2466: $o > $o ).

tff(pred_def_1608,type,
    sP2467: $o > $o ).

tff(pred_def_1609,type,
    sK2468: ( vEBT_VEBT * nat ) > $o ).

tff(pred_def_1610,type,
    sK2469: ( vEBT_VEBT * nat ) > $o ).

tff(pred_def_1611,type,
    sP2474: $o > $o ).

tff(pred_def_1612,type,
    sP2475: $o > $o ).

tff(pred_def_1613,type,
    sP2476: ( list(vEBT_VEBT) * nat * nat ) > $o ).

tff(pred_def_1614,type,
    sP2477: $o > $o ).

tff(pred_def_1615,type,
    sP2478: $o > $o ).

tff(pred_def_1616,type,
    sK2479: ( vEBT_VEBT * nat ) > $o ).

tff(pred_def_1617,type,
    sK2480: ( vEBT_VEBT * nat ) > $o ).

tff(pred_def_1618,type,
    sP2486: $o > $o ).

tff(pred_def_1619,type,
    sP2487: $o > $o ).

tff(pred_def_1621,type,
    sP2489: ( list(vEBT_VEBT) * nat * nat * nat * nat ) > $o ).

tff(pred_def_1622,type,
    sP2490: $o > $o ).

tff(pred_def_1623,type,
    sP2491: $o > $o ).

tff(pred_def_1624,type,
    sK2492: ( vEBT_VEBT * nat * $o ) > $o ).

tff(pred_def_1625,type,
    sK2493: ( vEBT_VEBT * nat * $o ) > $o ).

tff(pred_def_1626,type,
    sP2501: ( vEBT_VEBT * list(vEBT_VEBT) * nat * option(product_prod(nat,nat)) * $o * nat * vEBT_VEBT ) > $o ).

tff(pred_def_1627,type,
    sP2502: $o > $o ).

tff(pred_def_1628,type,
    sP2503: ( vEBT_VEBT * list(vEBT_VEBT) * option(product_prod(nat,nat)) * nat ) > $o ).

tff(pred_def_1629,type,
    sP2504: $o > $o ).

tff(pred_def_1630,type,
    sP2505: $o > $o ).

tff(pred_def_1631,type,
    sP2506: $o > $o ).

tff(pred_def_1632,type,
    sP2507: ( $o * $o * nat ) > $o ).

tff(pred_def_1633,type,
    sP2508: $o > $o ).

tff(pred_def_1634,type,
    sP2509: $o > $o ).

tff(pred_def_1635,type,
    sK2510: ( vEBT_VEBT * nat * $o ) > $o ).

tff(pred_def_1636,type,
    sK2511: ( vEBT_VEBT * nat * $o ) > $o ).

tff(pred_def_1637,type,
    sP2526: ( vEBT_VEBT * list(vEBT_VEBT) * nat * nat * $o * nat * vEBT_VEBT ) > $o ).

tff(pred_def_1638,type,
    sP2527: ( vEBT_VEBT * list(vEBT_VEBT) * nat * nat * nat * $o * nat * vEBT_VEBT ) > $o ).

tff(pred_def_1639,type,
    sP2528: ( vEBT_VEBT * list(vEBT_VEBT) * nat * $o * nat * vEBT_VEBT ) > $o ).

tff(pred_def_1640,type,
    sP2529: $o > $o ).

tff(pred_def_1641,type,
    sP2530: ( vEBT_VEBT * list(vEBT_VEBT) * nat ) > $o ).

tff(pred_def_1642,type,
    sP2531: $o > $o ).

tff(pred_def_1643,type,
    sP2532: $o > $o ).

tff(pred_def_1644,type,
    sP2533: $o > $o ).

tff(pred_def_1645,type,
    sP2534: $o > $o ).

tff(pred_def_1646,type,
    sK2535: ( vEBT_VEBT * nat ) > $o ).

tff(pred_def_1647,type,
    sK2536: ( vEBT_VEBT * nat ) > $o ).

tff(pred_def_1648,type,
    sP2551: ( vEBT_VEBT * list(vEBT_VEBT) * nat * nat * nat * nat * vEBT_VEBT ) > $o ).

tff(pred_def_1649,type,
    sP2552: ( vEBT_VEBT * list(vEBT_VEBT) * nat * nat * vEBT_VEBT ) > $o ).

tff(pred_def_1650,type,
    sP2553: ( vEBT_VEBT * list(vEBT_VEBT) * nat ) > $o ).

tff(pred_def_1651,type,
    sP2554: ( vEBT_VEBT * list(vEBT_VEBT) * nat * nat * nat ) > $o ).

tff(pred_def_1652,type,
    sP2555: $o > $o ).

tff(pred_def_1653,type,
    sP2556: $o > $o ).

tff(pred_def_1654,type,
    sP2557: $o > $o ).

tff(pred_def_1655,type,
    sP2558: $o > $o ).

tff(pred_def_1656,type,
    sP2571: ( vEBT_VEBT * list(vEBT_VEBT) * nat * nat * vEBT_VEBT ) > $o ).

tff(pred_def_1657,type,
    sP2594: 
      !>[X0: $tType,X1: $tType] : ( ( X1 * fun(X1,X0) * set(X1) ) > $o ) ).

tff(pred_def_1658,type,
    sP2595: 
      !>[X0: $tType,X1: $tType] : ( ( X0 * fun(X0,X1) * set(X0) ) > $o ) ).

tff(pred_def_1659,type,
    sP2596: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( X2 * fun(X0,X1) * fun(X2,X1) * fun(X2,X0) * set(X2) ) > $o ) ).

tff(pred_def_1660,type,
    sP2659: 
      !>[X0: $tType,X1: $tType] : ( ( X1 * fun(X1,X0) * set(X1) ) > $o ) ).

tff(pred_def_1661,type,
    sP2660: 
      !>[X0: $tType,X1: $tType] : ( ( X0 * fun(X0,X1) * set(X0) ) > $o ) ).

tff(pred_def_1662,type,
    sP2661: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( X2 * fun(X0,X1) * fun(X2,X1) * fun(X2,X0) * set(X2) ) > $o ) ).

tff(pred_def_1663,type,
    sP2785: ( vEBT_VEBT * nat ) > $o ).

tff(pred_def_1664,type,
    sP2802: $o > $o ).

tff(pred_def_1665,type,
    sP2803: $o > $o ).

tff(pred_def_1666,type,
    sP2804: $o > $o ).

tff(pred_def_1667,type,
    sP2805: $o > $o ).

tff(pred_def_1668,type,
    sP2806: $o > $o ).

tff(pred_def_1669,type,
    sP2807: $o > $o ).

tff(pred_def_1670,type,
    sP2808: $o > $o ).

tff(pred_def_1671,type,
    sP2809: $o > $o ).

tff(pred_def_1672,type,
    sP2810: $o > $o ).

tff(pred_def_1673,type,
    sP2811: $o > $o ).

tff(pred_def_1674,type,
    sP3059: 
      !>[X0: $tType] : ( ( set(list(X0)) * list(X0) * list(X0) ) > $o ) ).

tff(pred_def_1675,type,
    sP3109: ( real * real * nat ) > $o ).

tff(pred_def_1676,type,
    sP3289: 
      !>[X0: $tType] : ( ( X0 * X0 * fun(X0,$o) ) > $o ) ).

tff(pred_def_1677,type,
    sP3425: 
      !>[X0: $tType] : ( ( X0 * X0 * fun(X0,$o) ) > $o ) ).

tff(pred_def_1678,type,
    sK3436: vEBT_VEBT > $o ).

tff(pred_def_1679,type,
    sK3437: vEBT_VEBT > $o ).

tff(pred_def_1680,type,
    sP3438: ( vEBT_VEBT * list(vEBT_VEBT) * nat * option(product_prod(nat,nat)) * $o * nat ) > $o ).

tff(pred_def_1681,type,
    sP3439: $o > $o ).

tff(pred_def_1682,type,
    sP3440: $o > $o ).

tff(pred_def_1683,type,
    sP3444: ( nat * vEBT_VEBT ) > $o ).

tff(pred_def_1684,type,
    sP3466: ( nat * vEBT_VEBT ) > $o ).

tff(pred_def_1685,type,
    sK3473: vEBT_VEBT > $o ).

tff(pred_def_1686,type,
    sK3474: vEBT_VEBT > $o ).

tff(pred_def_1687,type,
    sP3476: ( vEBT_VEBT * list(vEBT_VEBT) * nat ) > $o ).

tff(pred_def_1688,type,
    sP3477: ( vEBT_VEBT * list(vEBT_VEBT) ) > $o ).

tff(pred_def_1689,type,
    sK3485: vEBT_VEBT > $o ).

tff(pred_def_1690,type,
    sK3486: vEBT_VEBT > $o ).

tff(pred_def_1691,type,
    sP3487: $o > $o ).

tff(pred_def_1692,type,
    sP3488: $o > $o ).

tff(pred_def_1693,type,
    sP3489: ( vEBT_VEBT * list(vEBT_VEBT) ) > $o ).

tff(pred_def_1694,type,
    sK3493: ( vEBT_VEBT * nat * $o ) > $o ).

tff(pred_def_1695,type,
    sK3494: ( vEBT_VEBT * nat * $o ) > $o ).

tff(pred_def_1696,type,
    sP3499: ( vEBT_VEBT * list(vEBT_VEBT) * nat * option(product_prod(nat,nat)) * $o * nat ) > $o ).

tff(pred_def_1697,type,
    sP3500: ( vEBT_VEBT * list(vEBT_VEBT) * nat * option(product_prod(nat,nat)) * nat ) > $o ).

tff(pred_def_1698,type,
    sP3501: $o > $o ).

tff(pred_def_1699,type,
    sP3502: $o > $o ).

tff(pred_def_1700,type,
    sP3503: $o > $o ).

tff(pred_def_1701,type,
    sP3504: $o > $o ).

tff(pred_def_1702,type,
    sP3505: $o > $o ).

tff(pred_def_1703,type,
    sP3509: ( nat * vEBT_VEBT ) > $o ).

tff(pred_def_1704,type,
    sK3511: ( vEBT_VEBT * nat ) > $o ).

tff(pred_def_1705,type,
    sK3512: ( vEBT_VEBT * nat ) > $o ).

tff(pred_def_1706,type,
    sP3517: $o > $o ).

tff(pred_def_1707,type,
    sP3518: $o > $o ).

tff(pred_def_1708,type,
    sP3519: ( vEBT_VEBT * list(vEBT_VEBT) * nat * option(product_prod(nat,nat)) ) > $o ).

tff(pred_def_1709,type,
    sP3520: $o > $o ).

tff(pred_def_1710,type,
    sP3521: $o > $o ).

tff(pred_def_1711,type,
    sK3525: ( vEBT_VEBT * nat ) > $o ).

tff(pred_def_1712,type,
    sK3526: ( vEBT_VEBT * nat ) > $o ).

tff(pred_def_1713,type,
    sP3531: $o > $o ).

tff(pred_def_1714,type,
    sP3532: $o > $o ).

tff(pred_def_1715,type,
    sP3533: ( vEBT_VEBT * list(vEBT_VEBT) * nat * option(product_prod(nat,nat)) ) > $o ).

tff(pred_def_1716,type,
    sP3534: $o > $o ).

tff(pred_def_1717,type,
    sP3535: $o > $o ).

tff(pred_def_1718,type,
    sP3744: ( real * fun(real,real) * fun(real,real) * real * real ) > $o ).

tff(pred_def_1719,type,
    sP3745: ( real * fun(real,real) * fun(real,real) * real * real ) > $o ).

tff(pred_def_1720,type,
    sP3746: ( real * fun(real,real) * fun(real,real) * fun(real,real) * fun(real,real) * real * real ) > $o ).

tff(pred_def_1721,type,
    sP3784: ( real * fun(real,real) * real * real ) > $o ).

tff(pred_def_1722,type,
    sP3785: ( real * fun(real,real) * real * real ) > $o ).

tff(pred_def_1723,type,
    sP3786: ( real * real * real * fun(real,real) * fun(real,real) * real * real ) > $o ).

tff(pred_def_1724,type,
    sP3911: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,fun(X0,X0)) * X0 * set(X1) * X0 ) > $o ) ).

tff(pred_def_1725,type,
    sP3968: 
      !>[X0: $tType] : ( ( X0 * list(X0) ) > $o ) ).

tff(pred_def_1726,type,
    sP3969: 
      !>[X0: $tType] : ( ( X0 * X0 ) > $o ) ).

tff(pred_def_1727,type,
    sP3981: 
      !>[X0: $tType] : ( ( list(X0) * X0 * list(X0) * list(X0) ) > $o ) ).

tff(pred_def_1728,type,
    sP4134: ( $o * $o ) > $o ).

tff(pred_def_1729,type,
    sP4206: ( $o * $o ) > $o ).

tff(pred_def_1730,type,
    sP4207: ( $o * $o ) > $o ).

tff(pred_def_1731,type,
    sP4208: ( $o * $o ) > $o ).

tff(pred_def_1732,type,
    sP4209: ( $o * $o ) > $o ).

tff(pred_def_1733,type,
    sP4210: ( $o * $o ) > $o ).

tff(pred_def_1734,type,
    sP4211: ( $o * $o ) > $o ).

tff(pred_def_1735,type,
    sP4212: ( $o * $o ) > $o ).

tff(pred_def_1736,type,
    sP4213: ( $o * $o ) > $o ).

tff(pred_def_1737,type,
    sP4214: ( $o * $o ) > $o ).

tff(pred_def_1738,type,
    sP4215: ( $o * $o ) > $o ).

tff(pred_def_1739,type,
    sP4232: 
      !>[X0: $tType,X1: $tType] : ( ( list(X0) * X0 * X0 * X0 * list(X0) * fun(X0,X1) ) > $o ) ).

tff(pred_def_1740,type,
    sP4315: ( $o * $o ) > $o ).

tff(pred_def_1741,type,
    sK4316: ( vEBT_VEBT * vEBT_VEBT ) > $o ).

tff(pred_def_1742,type,
    sK4317: ( vEBT_VEBT * vEBT_VEBT ) > $o ).

tff(pred_def_1743,type,
    sP4326: ( vEBT_VEBT * list(vEBT_VEBT) * nat * option(product_prod(nat,nat)) * vEBT_VEBT * extended_enat ) > $o ).

tff(pred_def_1744,type,
    sP4327: $o > $o ).

tff(pred_def_1745,type,
    sP4328: $o > $o ).

tff(pred_def_1746,type,
    sP4329: $o > $o ).

tff(pred_def_1747,type,
    sP4330: $o > $o ).

tff(pred_def_1748,type,
    sK4332: product_prod(vEBT_VEBT,extended_enat) > $o ).

tff(pred_def_1749,type,
    sK4333: product_prod(vEBT_VEBT,extended_enat) > $o ).

tff(pred_def_1750,type,
    sK4344: ( vEBT_VEBT * extended_enat * vEBT_VEBT ) > $o ).

tff(pred_def_1751,type,
    sK4345: ( vEBT_VEBT * extended_enat * vEBT_VEBT ) > $o ).

tff(pred_def_1752,type,
    sP4354: ( vEBT_VEBT * list(vEBT_VEBT) * nat * option(product_prod(nat,nat)) * vEBT_VEBT * extended_enat * vEBT_VEBT ) > $o ).

tff(pred_def_1753,type,
    sP4355: ( vEBT_VEBT * list(vEBT_VEBT) * nat * option(product_prod(nat,nat)) ) > $o ).

tff(pred_def_1754,type,
    sP4356: $o > $o ).

tff(pred_def_1755,type,
    sP4357: $o > $o ).

tff(pred_def_1756,type,
    sP4358: $o > $o ).

tff(pred_def_1757,type,
    sP4359: $o > $o ).

tff(pred_def_1758,type,
    sP4361: $o > $o ).

tff(pred_def_1759,type,
    sP4362: $o > $o ).

tff(pred_def_1760,type,
    sP4397: ( $o * $o ) > $o ).

tff(pred_def_1761,type,
    sP4398: $o > $o ).

tff(pred_def_1762,type,
    sP4399: $o > $o ).

tff(pred_def_1763,type,
    sK4400: product_unit > $o ).

tff(pred_def_1764,type,
    sK4402: fun(product_unit,$o) > $o ).

tff(pred_def_1765,type,
    sP4413: ( fun(int,$o) * int * int ) > $o ).

tff(pred_def_1766,type,
    sP4414: ( fun(int,$o) * int * int ) > $o ).

tff(pred_def_1767,type,
    sP4415: ( fun(int,$o) * int * int ) > $o ).

tff(pred_def_1768,type,
    sP4631: 
      !>[X0: $tType] : ( ( list(X0) * X0 * list(X0) * list(X0) ) > $o ) ).

tff(pred_def_1769,type,
    sP4670: ( nat * list(vEBT_VEBT) ) > $o ).

tff(pred_def_1770,type,
    sP4671: ( nat * vEBT_VEBT ) > $o ).

tff(f7769,axiom,
    ! [X0: $o,X1: fun($o,$o)] :
      ( member($o,(X0),aa(set($o),set($o),aa($o,fun(set($o),set($o)),insert($o),$true),bot_bot(set($o))))
     => ( ! [X2: product_unit] : aa($o,$o,X1,aa(product_unit,$o,product_Rep_unit,X2))
       => aa($o,$o,X1,(X0)) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_7768_Rep__unit__induct) ).

tff(f7773,axiom,
    ! [X0: product_unit] :
      ~ ! [X1: $o] :
          ( ( X0 = aa($o,product_unit,product_Abs_unit,(X1)) )
         => ~ member($o,(X1),aa(set($o),set($o),aa($o,fun(set($o),set($o)),insert($o),$true),bot_bot(set($o)))) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_7772_Abs__unit__cases) ).

tff(f9084,axiom,
    ! [X0: $tType,X1: X0] :
      ( aa(X0,$o,aTP_Lamp_ao(X0,$o),X1)
    <=> $false ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_9083_ATP_Olambda__900) ).

tff(f14944,plain,
    ! [X0: $o,X1: fun($o,$o)] :
      ( member($o,(X0),aa(set($o),set($o),aa($o,fun(set($o),set($o)),insert($o),$true),bot_bot(set($o))))
     => ( ! [X2: product_unit] : aa($o,$o,X1,aa(product_unit,$o,product_Rep_unit,X2))
       => aa($o,$o,X1,(X0)) ) ),
    inference(rectify,[],[f7769]) ).

tff(f14948,plain,
    ! [X0: product_unit] :
      ~ ! [X1: $o] :
          ( ( X0 = aa($o,product_unit,product_Abs_unit,(X1)) )
         => ~ member($o,(X1),aa(set($o),set($o),aa($o,fun(set($o),set($o)),insert($o),$true),bot_bot(set($o)))) ),
    inference(rectify,[],[f7773]) ).

tff(f15484,plain,
    ! [X0: $tType,X1: X0] :
      ( aa(X0,$o,aTP_Lamp_ao(X0,$o),X1)
    <=> $false ),
    inference(rectify,[],[f9084]) ).

tff(f24158,plain,
    ! [X0: $o,X1: fun($o,$o)] :
      ( aa($o,$o,X1,(X0))
      | ? [X2: product_unit] : ~ aa($o,$o,X1,aa(product_unit,$o,product_Rep_unit,X2))
      | ~ member($o,(X0),aa(set($o),set($o),aa($o,fun(set($o),set($o)),insert($o),$true),bot_bot(set($o)))) ),
    inference(ennf_transformation,[],[f14944]) ).

tff(f24159,plain,
    ! [X0: $o,X1: fun($o,$o)] :
      ( aa($o,$o,X1,(X0))
      | ? [X2: product_unit] : ~ aa($o,$o,X1,aa(product_unit,$o,product_Rep_unit,X2))
      | ~ member($o,(X0),aa(set($o),set($o),aa($o,fun(set($o),set($o)),insert($o),$true),bot_bot(set($o)))) ),
    inference(flattening,[],[f24158]) ).

tff(f24164,plain,
    ! [X0: product_unit] :
    ? [X1: $o] :
      ( member($o,(X1),aa(set($o),set($o),aa($o,fun(set($o),set($o)),insert($o),$true),bot_bot(set($o))))
      & ( X0 = aa($o,product_unit,product_Abs_unit,(X1)) ) ),
    inference(ennf_transformation,[],[f14948]) ).

tff(f48650,plain,
    ! [X1: fun($o,$o)] :
      ( ~ member($o,$false,aa(set($o),set($o),aa($o,fun(set($o),set($o)),insert($o),$true),bot_bot(set($o))))
      | ( $true = aa($o,$o,X1,aa(product_unit,$o,product_Rep_unit,sK4396(X1))) )
      | ( $true = aa($o,$o,X1,$false) ) ),
    inference(cnf_transformation,[],[f24159]) ).

tff(f48651,plain,
    ! [X1: fun($o,$o)] :
      ( ~ member($o,$true,aa(set($o),set($o),aa($o,fun(set($o),set($o)),insert($o),$true),bot_bot(set($o))))
      | ( $true = aa($o,$o,X1,aa(product_unit,$o,product_Rep_unit,sK4396(X1))) )
      | ( $true = aa($o,$o,X1,$true) ) ),
    inference(cnf_transformation,[],[f24159]) ).

tff(f48695,plain,
    ! [X0: product_unit] :
      ( sK4400(X0)
      | member($o,$false,aa(set($o),set($o),aa($o,fun(set($o),set($o)),insert($o),$true),bot_bot(set($o)))) ),
    inference(cnf_transformation,[],[f24164]) ).

tff(f48696,plain,
    ! [X0: product_unit] :
      ( ~ sK4400(X0)
      | member($o,$true,aa(set($o),set($o),aa($o,fun(set($o),set($o)),insert($o),$true),bot_bot(set($o)))) ),
    inference(cnf_transformation,[],[f24164]) ).

tff(f50932,plain,
    ! [X0: $tType,X1: X0] : ( aa(X0,$o,aTP_Lamp_ao(X0,$o),X1) != $true ),
    inference(cnf_transformation,[],[f15484]) ).

tff(f76080,definition,
    ( spl4674_15
  <=> member($o,$false,aa(set($o),set($o),aa($o,fun(set($o),set($o)),insert($o),$true),bot_bot(set($o)))) ),
    introduced(definition,[new_symbols(definition,[spl4674_15])],[avatar_definition]) ).

tff(f76088,definition,
    ( spl4674_17
  <=> member($o,$true,aa(set($o),set($o),aa($o,fun(set($o),set($o)),insert($o),$true),bot_bot(set($o)))) ),
    introduced(definition,[new_symbols(definition,[spl4674_17])],[avatar_definition]) ).

tff(f76106,definition,
    ( spl4674_21
  <=> ! [X0: product_unit] : sK4400(X0) ),
    introduced(definition,[new_symbols(definition,[spl4674_21])],[avatar_definition]) ).

tff(f76107,plain,
    ( ! [X0: product_unit] : sK4400(X0)
    | ~ spl4674_21 ),
    inference(avatar_component_clause,[],[f76106]) ).

tff(f76108,plain,
    ( spl4674_15
    | spl4674_21 ),
    inference(avatar_split_clause,[],[f48695,f76106,f76080]) ).

tff(f76110,definition,
    ( spl4674_22
  <=> ! [X0: product_unit] : ~ sK4400(X0) ),
    introduced(definition,[new_symbols(definition,[spl4674_22])],[avatar_definition]) ).

tff(f76111,plain,
    ( ! [X0: product_unit] : ~ sK4400(X0)
    | ~ spl4674_22 ),
    inference(avatar_component_clause,[],[f76110]) ).

tff(f76112,plain,
    ( spl4674_17
    | spl4674_22 ),
    inference(avatar_split_clause,[],[f48696,f76110,f76088]) ).

tff(f76184,definition,
    ( spl4674_34
  <=> ! [X1: fun($o,$o)] :
        ( ( $true = aa($o,$o,X1,aa(product_unit,$o,product_Rep_unit,sK4396(X1))) )
        | ( $true = aa($o,$o,X1,$false) ) ) ),
    introduced(definition,[new_symbols(definition,[spl4674_34])],[avatar_definition]) ).

tff(f76185,plain,
    ( ! [X1: fun($o,$o)] :
        ( ( $true = aa($o,$o,X1,aa(product_unit,$o,product_Rep_unit,sK4396(X1))) )
        | ( $true = aa($o,$o,X1,$false) ) )
    | ~ spl4674_34 ),
    inference(avatar_component_clause,[],[f76184]) ).

tff(f76186,plain,
    ( spl4674_34
    | ~ spl4674_15 ),
    inference(avatar_split_clause,[],[f48650,f76080,f76184]) ).

tff(f76188,definition,
    ( spl4674_35
  <=> ! [X1: fun($o,$o)] :
        ( ( $true = aa($o,$o,X1,aa(product_unit,$o,product_Rep_unit,sK4396(X1))) )
        | ( $true = aa($o,$o,X1,$true) ) ) ),
    introduced(definition,[new_symbols(definition,[spl4674_35])],[avatar_definition]) ).

tff(f76189,plain,
    ( ! [X1: fun($o,$o)] :
        ( ( $true = aa($o,$o,X1,aa(product_unit,$o,product_Rep_unit,sK4396(X1))) )
        | ( $true = aa($o,$o,X1,$true) ) )
    | ~ spl4674_35 ),
    inference(avatar_component_clause,[],[f76188]) ).

tff(f76190,plain,
    ( spl4674_35
    | ~ spl4674_17 ),
    inference(avatar_split_clause,[],[f48651,f76088,f76188]) ).

tff(f137235,plain,
    ( $false
    | ~ spl4674_21
    | ~ spl4674_22 ),
    inference(forward_subsumption_resolution,[],[f76107,f76111]) ).

tff(f137236,plain,
    ( ~ spl4674_21
    | ~ spl4674_22 ),
    inference(avatar_contradiction_clause,[],[f137235]) ).

tff(f137490,plain,
    ( ( $true != $true )
    | ( $true = aa($o,$o,aTP_Lamp_ao($o,$o),$false) )
    | ~ spl4674_34 ),
    inference(superposition,[],[f50932,f76185]) ).

tff(f137528,plain,
    ( ( $true = aa($o,$o,aTP_Lamp_ao($o,$o),$false) )
    | ~ spl4674_34 ),
    inference(trivial_inequality_removal,[],[f137490]) ).

tff(f137553,plain,
    ( $false
    | ~ spl4674_34 ),
    inference(forward_subsumption_resolution,[],[f137528,f50932]) ).

tff(f137554,plain,
    ~ spl4674_34,
    inference(avatar_contradiction_clause,[],[f137553]) ).

tff(f137696,plain,
    ( ( $true != $true )
    | ( $true = aa($o,$o,aTP_Lamp_ao($o,$o),$true) )
    | ~ spl4674_35 ),
    inference(superposition,[],[f50932,f76189]) ).

tff(f137734,plain,
    ( ( $true = aa($o,$o,aTP_Lamp_ao($o,$o),$true) )
    | ~ spl4674_35 ),
    inference(trivial_inequality_removal,[],[f137696]) ).

tff(f137762,plain,
    ( $false
    | ~ spl4674_35 ),
    inference(forward_subsumption_resolution,[],[f137734,f50932]) ).

tff(f137763,plain,
    ~ spl4674_35,
    inference(avatar_contradiction_clause,[],[f137762]) ).

cnf(s16,plain,
    ( spl4674_15
    | spl4674_21 ),
    inference(sat_conversion,[],[f76108]) ).

cnf(s17,plain,
    ( spl4674_17
    | spl4674_22 ),
    inference(sat_conversion,[],[f76112]) ).

cnf(s44,plain,
    ( ~ spl4674_15
    | spl4674_34 ),
    inference(sat_conversion,[],[f76186]) ).

cnf(s45,plain,
    ( ~ spl4674_17
    | spl4674_35 ),
    inference(sat_conversion,[],[f76190]) ).

cnf(s8352,plain,
    ( ~ spl4674_21
    | ~ spl4674_22 ),
    inference(sat_conversion,[],[f137236]) ).

cnf(s8389,plain,
    ~ spl4674_34,
    inference(sat_conversion,[],[f137554]) ).

cnf(s8402,plain,
    ~ spl4674_35,
    inference(sat_conversion,[],[f137763]) ).

cnf(s10141,plain,
    ~ spl4674_17,
    inference(rat,[],[s45,s8402]) ).

cnf(s10142,plain,
    ~ spl4674_15,
    inference(rat,[],[s44,s8389]) ).

cnf(s10143,plain,
    spl4674_22,
    inference(rat,[],[s17,s10141]) ).

cnf(s10144,plain,
    ~ spl4674_21,
    inference(rat,[],[s8352,s10143]) ).

cnf(s10145,plain,
    $false,
    inference(rat,[],[s16,s10144,s10142]) ).

tff(f137800,plain,
    $false,
    inference(avatar_sat_refutation,[],[s10145]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : ITP261_4 : TPTP v9.3.1. Released v8.0.0.
% 0.00/0.07  % Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.11/0.39  % Computer : n017.cluster.edu
% 0.11/0.39  % Model    : x86_64 x86_64
% 0.11/0.39  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.39  % Memory   : 8046.5625MB
% 0.11/0.39  % OS       : Linux 6.8.0-71-generic
% 0.11/0.39  % CPULimit : 300
% 0.11/0.39  % WCLimit  : 300
% 0.11/0.39  % DateTime : Sun Sep 27 12:36:05 UTC 2026
% 0.11/0.39  % CPUTime  : 
% 0.11/0.39  Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.11/0.42  Running first-order model finding
% 0.11/0.42  Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 16.42/3.52  % (2496387)Will run a generic schedule for satisfiability detection.
% 16.42/3.52  % (2496393)% WARNING: option uhcvi not known.
% 16.42/3.52  % (2496393)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2659747974:i=135531:add=off:rawr=on_2991 on theBenchmark for (2991ds/135531Mi)
% 16.42/3.52  % (2496392)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1852450770_2991 on theBenchmark for (2991ds/0Mi)
% 16.42/3.52  % (2496394)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=893444241:i=88024:add=on:rawr=on_2991 on theBenchmark for (2991ds/88024Mi)
% 16.42/3.52  % (2496395)dis+10_1_sil=32000:sp=arity:random_seed=2472193319:i=103:fgj=on_2991 on theBenchmark for (2991ds/103Mi)
% 16.42/3.52  % (2496396)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3127108031:i=116_2991 on theBenchmark for (2991ds/116Mi)
% 16.42/3.52  % (2496397)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2943054722:i=131_2991 on theBenchmark for (2991ds/131Mi)
% 16.42/3.52  % (2496398)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=4124219131:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2991 on theBenchmark for (2991ds/159Mi)
% 16.42/3.52  % (2496395)Instruction limit reached! 
% 16.42/3.52  % (2496395)------------------------------
% 16.42/3.52  % (2496395)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.42/3.52  % (2496395)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.42/3.52  % (2496395)CaDiCaL version: 2.1.3
% 16.42/3.52  % (2496395)Termination reason: Instruction limit
% 16.42/3.52  % (2496395)Termination phase: Initialization
% 16.42/3.52  % (2496395)Time elapsed: 0.048 s
% 16.42/3.52  % (2496395)Peak memory usage: 28 MB
% 16.42/3.52  % (2496395)Instructions burned: 104 (million)
% 16.42/3.52  % (2496397)Instruction limit reached! 
% 16.42/3.52  % (2496397)------------------------------
% 16.42/3.52  % (2496397)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.42/3.52  % (2496397)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.42/3.52  % (2496397)CaDiCaL version: 2.1.3
% 16.42/3.52  % (2496397)Termination reason: Instruction limit
% 16.42/3.52  % (2496397)Termination phase: Initialization
% 16.42/3.52  % (2496397)Time elapsed: 0.060 s
% 16.42/3.52  % (2496397)Peak memory usage: 28 MB
% 16.42/3.52  % (2496397)Instructions burned: 131 (million)
% 16.42/3.52  % (2496406)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=3349090566:i=714:nm=2_2990 on theBenchmark for (2990ds/714Mi)
% 16.42/3.52  % (2496398)Instruction limit reached! 
% 16.42/3.52  % (2496398)------------------------------
% 16.42/3.52  % (2496398)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.42/3.52  % (2496398)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.42/3.52  % (2496398)CaDiCaL version: 2.1.3
% 16.42/3.52  % (2496398)Termination reason: Instruction limit
% 16.42/3.52  % (2496398)Termination phase: Initialization
% 16.42/3.52  % (2496398)Time elapsed: 0.073 s
% 16.42/3.52  % (2496398)Peak memory usage: 29 MB
% 16.42/3.52  % (2496398)Instructions burned: 159 (million)
% 16.42/3.52  % (2496407)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=2724758731:i=131:bd=preordered:fsd=on_2990 on theBenchmark for (2990ds/131Mi)
% 16.42/3.52  % (2496396)Instruction limit reached! 
% 16.42/3.52  % (2496396)------------------------------
% 16.42/3.52  % (2496396)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.42/3.52  % (2496396)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.42/3.52  % (2496396)CaDiCaL version: 2.1.3
% 16.42/3.52  % (2496396)Termination reason: Instruction limit
% 16.42/3.52  % (2496396)Termination phase: Preprocessing 2
% 16.42/3.52  % (2496396)Time elapsed: 0.085 s
% 16.42/3.52  % (2496396)Peak memory usage: 30 MB
% 16.42/3.52  % (2496396)Instructions burned: 117 (million)
% 16.42/3.52  % (2496409)dis+11_32_anc=none:slsqr=2,1:sil=64000:sas=cadical:lma=off:lsd=50:s2agt=8:slsqc=1:kmz=on:newcnf=on:slsq=on:random_seed=238029902:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2990 on theBenchmark for (2990ds/684Mi)
% 16.42/3.52  % (2496411)ott-21_1_sil=16000:fs=off:random_seed=2186409785:i=180:av=off:fsr=off_2990 on theBenchmark for (2990ds/180Mi)
% 16.42/3.52  % (2496407)Instruction limit reached! 
% 16.42/3.52  % (2496407)------------------------------
% 16.42/3.52  % (2496407)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.42/3.52  % (2496407)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.29/3.79  % (2496407)CaDiCaL version: 2.1.3
% 17.29/3.79  % (2496407)Termination reason: Instruction limit
% 17.29/3.79  % (2496407)Termination phase: Initialization
% 17.29/3.79  % (2496407)Time elapsed: 0.060 s
% 17.29/3.79  % (2496407)Peak memory usage: 28 MB
% 17.29/3.79  % (2496407)Instructions burned: 133 (million)
% 17.29/3.79  % (2496414)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=2930471064:i=477:bd=all_2989 on theBenchmark for (2989ds/477Mi)
% 17.29/3.79  % (2496411)Instruction limit reached! 
% 17.29/3.79  % (2496411)------------------------------
% 17.29/3.79  % (2496411)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.29/3.79  % (2496411)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.29/3.79  % (2496411)CaDiCaL version: 2.1.3
% 17.29/3.79  % (2496411)Termination reason: Instruction limit
% 17.29/3.79  % (2496411)Termination phase: Initialization
% 17.29/3.79  % (2496411)Time elapsed: 0.083 s
% 17.29/3.79  % (2496411)Peak memory usage: 30 MB
% 17.29/3.79  % (2496411)Instructions burned: 182 (million)
% 17.29/3.79  % (2496416)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=3512901105:fmbsr=1.3:i=865:ins=25_2989 on theBenchmark for (2989ds/865Mi)
% 17.29/3.79  % (2496414)Instruction limit reached! 
% 17.29/3.79  % (2496414)------------------------------
% 17.29/3.79  % (2496414)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.29/3.79  % (2496414)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.29/3.79  % (2496414)CaDiCaL version: 2.1.3
% 17.29/3.79  % (2496414)Termination reason: Instruction limit
% 17.29/3.79  % (2496414)Termination phase: Initialization
% 17.29/3.79  % (2496414)Time elapsed: 0.222 s
% 17.29/3.79  % (2496414)Peak memory usage: 36 MB
% 17.29/3.79  % (2496414)Instructions burned: 477 (million)
% 17.29/3.79  % (2496406)Instruction limit reached! 
% 17.29/3.79  % (2496406)------------------------------
% 17.29/3.79  % (2496406)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.29/3.79  % (2496406)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.29/3.79  % (2496406)CaDiCaL version: 2.1.3
% 17.29/3.79  % (2496406)Termination reason: Instruction limit
% 17.29/3.79  % (2496406)Termination phase: Property scanning
% 17.29/3.79  % (2496406)Time elapsed: 0.324 s
% 17.29/3.79  % (2496406)Peak memory usage: 37 MB
% 17.29/3.79  % (2496406)Instructions burned: 715 (million)
% 17.29/3.79  % (2496418)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=2524833091:i=1179_2987 on theBenchmark for (2987ds/1179Mi)
% 17.29/3.79  % (2496419)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=4102683158:i=889:ins=1_2986 on theBenchmark for (2986ds/889Mi)
% 17.29/3.79  % (2496409)Instruction limit reached! 
% 17.29/3.79  % (2496409)------------------------------
% 17.29/3.79  % (2496409)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.29/3.79  % (2496409)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.29/3.79  % (2496409)CaDiCaL version: 2.1.3
% 17.29/3.79  % (2496409)Termination reason: Instruction limit
% 17.29/3.79  % (2496409)Termination phase: NewCNF
% 17.29/3.79  % (2496409)Time elapsed: 0.362 s
% 17.29/3.79  % (2496409)Peak memory usage: 42 MB
% 17.29/3.79  % (2496409)Instructions burned: 685 (million)
% 17.29/3.79  % (2496422)ott+1_16_sil=32000:plsq=on:plsqc=2:sas=cadical:avsql=on:sp=reverse_frequency:plsqr=128,1:bsr=unit_only:rp=on:newcnf=on:random_seed=3639363412:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2986 on theBenchmark for (2986ds/692Mi)
% 17.29/3.79  % (2496416)Instruction limit reached! 
% 17.29/3.79  % (2496416)------------------------------
% 17.29/3.79  % (2496416)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.29/3.79  % (2496416)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.29/3.79  % (2496416)CaDiCaL version: 2.1.3
% 17.29/3.79  % (2496416)Termination reason: Instruction limit
% 17.29/3.79  % (2496416)Termination phase: Preprocessing 1
% 17.29/3.79  % (2496416)Time elapsed: 0.392 s
% 17.29/3.79  % (2496416)Peak memory usage: 38 MB
% 17.29/3.79  % (2496416)Instructions burned: 865 (million)
% 17.29/3.79  % (2496424)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=3561642473:i=879:kws=inv_precedence:fsr=off_2984 on theBenchmark for (2984ds/879Mi)
% 17.29/3.79  % (2496419)Instruction limit reached! 
% 17.29/3.79  % (2496419)------------------------------
% 17.29/3.79  % (2496419)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.29/3.79  % (2496419)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.29/3.79  % (2496419)CaDiCaL version: 2.1.3
% 17.29/3.79  % (2496419)Termination reason: Instruction limit
% 17.29/3.79  % (2496419)Termination phase: Preprocessing 1
% 17.29/3.79  % (2496419)Time elapsed: 0.406 s
% 17.29/3.79  % (2496419)Peak memory usage: 38 MB
% 17.29/3.79  % (2496419)Instructions burned: 890 (million)
% 17.29/3.79  % (2496426)fmb+10_1_sil=64000:random_seed=336706364:i=22061:nm=2:gsp=on_2982 on theBenchmark for (2982ds/22061Mi)
% 17.29/3.79  % (2496422)Instruction limit reached! 
% 17.29/3.79  % (2496422)------------------------------
% 17.29/3.79  % (2496422)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.29/3.79  % (2496422)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.29/3.79  % (2496422)CaDiCaL version: 2.1.3
% 17.29/3.79  % (2496422)Termination reason: Instruction limit
% 17.29/3.79  % (2496422)Termination phase: NewCNF
% 17.29/3.79  % (2496422)Time elapsed: 0.389 s
% 17.29/3.79  % (2496422)Peak memory usage: 45 MB
% 17.29/3.79  % (2496422)Instructions burned: 693 (million)
% 17.29/3.79  % (2496428)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=560158397:i=9515:nm=5_2982 on theBenchmark for (2982ds/9515Mi)
% 17.29/3.79  % (2496418)Instruction limit reached! 
% 17.29/3.79  % (2496418)------------------------------
% 17.29/3.79  % (2496418)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.29/3.79  % (2496418)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.29/3.79  % (2496418)CaDiCaL version: 2.1.3
% 17.29/3.79  % (2496418)Termination reason: Instruction limit
% 17.29/3.79  % (2496418)Termination phase: Preprocessing 3
% 17.29/3.79  % (2496418)Time elapsed: 0.569 s
% 17.29/3.79  % (2496418)Peak memory usage: 46 MB
% 17.29/3.79  % (2496418)Instructions burned: 1179 (million)
% 17.29/3.79  % (2496430)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=655771860:fmbsr=1.7:i=920_2981 on theBenchmark for (2981ds/920Mi)
% 17.29/3.79  % (2496424)Instruction limit reached! 
% 17.29/3.79  % (2496424)------------------------------
% 17.29/3.79  % (2496424)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.29/3.79  % (2496424)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.29/3.79  % (2496424)CaDiCaL version: 2.1.3
% 17.29/3.79  % (2496424)Termination reason: Instruction limit
% 17.29/3.79  % (2496424)Termination phase: NewCNF
% 17.29/3.79  % (2496424)Time elapsed: 0.408 s
% 17.29/3.79  % (2496424)Peak memory usage: 47 MB
% 17.29/3.79  % (2496424)Instructions burned: 881 (million)
% 17.29/3.79  % (2496432)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=3981366605:i=5131_2980 on theBenchmark for (2980ds/5131Mi)
% 17.29/3.79  % (2496430)Instruction limit reached! 
% 17.29/3.79  % (2496430)------------------------------
% 17.29/3.79  % (2496430)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.29/3.79  % (2496430)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.29/3.79  % (2496430)CaDiCaL version: 2.1.3
% 17.29/3.79  % (2496430)Termination reason: Instruction limit
% 17.29/3.79  % (2496430)Termination phase: Preprocessing 1
% 17.29/3.79  % (2496430)Time elapsed: 0.423 s
% 17.29/3.79  % (2496430)Peak memory usage: 39 MB
% 17.29/3.79  % (2496430)Instructions burned: 920 (million)
% 17.29/3.79  % Exception at run slice level
% 17.29/3.79  User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 17.29/3.79  % (2496434)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=3662524503:i=1472:ins=7:fdi=8:gsp=on_2976 on theBenchmark for (2976ds/1472Mi)
% 17.29/3.79  % (2496435)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=585460843:i=6324_2976 on theBenchmark for (2976ds/6324Mi)
% 17.29/3.79  % (2496426)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 17.29/3.79  % Exception at run slice level
% 17.29/3.79  User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 17.29/3.79  % Exception at run slice level
% 17.29/3.79  User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 17.29/3.79  % (2496438)fmb+10_1_fmbas=function:sil=32000:sas=cadical:fmbss=16:random_seed=3039347580:fmbsr=2.30978:i=2174_2969 on theBenchmark for (2969ds/2174Mi)
% 17.29/3.79  % (2496440)ott-2_1_sil=16000:newcnf=on:random_seed=2110359516:avsq=on:i=869:avsqr=1,16:kws=inv_arity_squared_2969 on theBenchmark for (2969ds/869Mi)
% 17.29/3.79  % (2496434)Instruction limit reached! 
% 17.29/3.79  % (2496434)------------------------------
% 17.29/3.79  % (2496434)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.29/3.79  % (2496434)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.29/3.79  % (2496434)CaDiCaL version: 2.1.3
% 17.29/3.79  % (2496434)Termination reason: Instruction limit
% 17.29/3.79  % (2496434)Termination phase: Property scanning
% 17.29/3.79  % (2496434)Time elapsed: 0.733 s
% 17.29/3.79  % (2496434)Peak memory usage: 53 MB
% 17.29/3.79  % (2496434)Instructions burned: 1473 (million)
% 17.29/3.79  % (2496442)ott+10_1_sil=32000:tgt=ground:random_seed=3607837359:i=5114:av=off_2969 on theBenchmark for (2969ds/5114Mi)
% 17.29/3.79  % (2496393) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2496387-2496393"...
% 17.29/3.79  % (2496393)...printing done.
% 17.29/3.79  % (2496393)Refutation found. Thanks to Tanya!
% 17.29/3.79  % SZS status ContradictoryAxioms for theBenchmark
% 17.29/3.79  % SZS output start Proof for theBenchmark
% See solution above
% 18.56/3.82  % (2496393)------------------------------
% 18.56/3.82  % (2496393)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 18.56/3.82  % (2496393)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.56/3.82  % (2496393)CaDiCaL version: 2.1.3
% 18.56/3.82  % (2496393)Termination reason: Refutation
% 18.56/3.82  % (2496393)Time elapsed: 2.430 s
% 18.56/3.82  % (2496393)Peak memory usage: 99 MB
% 18.56/3.82  % (2496393)Instructions burned: 9708 (million)
% 18.56/3.82  % (2496387)Success in time 3.366 s
% 18.56/3.82  % Vampire exiting
%------------------------------------------------------------------------------