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

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---5.0.1
% Problem  : ITP278_4 : TPTP v9.3.1. Bugfixed v9.3.0.
% 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 11:38:59 AM UTC 2026

% Result   : ContradictoryAxioms 20.57s 5.41s
% Output   : Refutation 20.57s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   26 (  15 unt;   0 typ;   2 def)
%            Number of atoms       :   67 (  10 equ)
%            Maximal formula atoms :    3 (   2 avg)
%            Number of connectives :   41 (  16   ~;  17   |;   0   &)
%                                         (   4 <=>;   4  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   3 avg)
%            Maximal term depth    :    5 (   2 avg)
%            Number of FOOLs       :   34 (  26 fml;   8 var)
%            Number of types       :   14 (  13 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of predicates  : 1530 (1527 usr;   4 prp; 0-9 aty)
%            Number of functors    : 4821 (4821 usr; 248 con; 0-10 aty)
%            Number of variables   :   27 (   0 sgn  25   !;   2   ?;  27   :)

% 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] : fun(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] : ( 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] : fun(X0,X1) ).

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

tff(func_def_775,type,
    aTP_Lamp_tk: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_776,type,
    aTP_Lamp_tl: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_777,type,
    aTP_Lamp_tm: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_778,type,
    aTP_Lamp_tn: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_779,type,
    aTP_Lamp_to: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_780,type,
    aTP_Lamp_tp: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_781,type,
    aTP_Lamp_tq: 
      !>[X0: $tType,X1: $tType] : fun(X0,X1) ).

tff(func_def_782,type,
    aTP_Lamp_tr: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_783,type,
    aTP_Lamp_ts: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_784,type,
    aTP_Lamp_tt: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_785,type,
    aTP_Lamp_tu: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_786,type,
    aTP_Lamp_tv: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_787,type,
    aTP_Lamp_tw: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_788,type,
    aTP_Lamp_tx: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_789,type,
    aTP_Lamp_ty: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_790,type,
    aTP_Lamp_tz: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_791,type,
    aTP_Lamp_ua: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_792,type,
    aTP_Lamp_ub: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_793,type,
    aTP_Lamp_uc: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_794,type,
    aTP_Lamp_ud: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_795,type,
    aTP_Lamp_ue: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_796,type,
    aTP_Lamp_uf: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_797,type,
    aTP_Lamp_ug: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_798,type,
    aTP_Lamp_uh: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_799,type,
    aTP_Lamp_ui: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_800,type,
    aTP_Lamp_uj: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_801,type,
    aTP_Lamp_uk: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_802,type,
    aTP_Lamp_ul: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_803,type,
    aTP_Lamp_um: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_804,type,
    aTP_Lamp_un: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_805,type,
    aTP_Lamp_uo: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_806,type,
    aTP_Lamp_up: 
      !>[X0: $tType,X1: $tType] : fun(X0,X1) ).

tff(func_def_807,type,
    aTP_Lamp_uq: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_808,type,
    aTP_Lamp_ur: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_809,type,
    aTP_Lamp_us: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_810,type,
    aTP_Lamp_ut: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_811,type,
    aTP_Lamp_uu: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_812,type,
    aTP_Lamp_uv: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_813,type,
    aTP_Lamp_uw: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_814,type,
    aTP_Lamp_ux: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_815,type,
    aTP_Lamp_uy: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_816,type,
    aTP_Lamp_uz: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_817,type,
    aTP_Lamp_va: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_818,type,
    aTP_Lamp_vb: 
      !>[X0: $tType,X1: $tType] : fun(X0,X1) ).

tff(func_def_819,type,
    aTP_Lamp_vc: 
      !>[X0: $tType,X1: $tType] : fun(X0,X1) ).

tff(func_def_820,type,
    aTP_Lamp_vd: 
      !>[X0: $tType,X1: $tType] : fun(X0,X1) ).

tff(func_def_821,type,
    aTP_Lamp_ve: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_822,type,
    aTP_Lamp_vf: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_823,type,
    aTP_Lamp_vg: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_824,type,
    aTP_Lamp_vh: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_825,type,
    aTP_Lamp_vi: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_826,type,
    aTP_Lamp_vj: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_827,type,
    aTP_Lamp_vk: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_828,type,
    aTP_Lamp_vl: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_829,type,
    aTP_Lamp_vm: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_830,type,
    aTP_Lamp_vn: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_831,type,
    aTP_Lamp_vo: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_832,type,
    aTP_Lamp_vp: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_833,type,
    aTP_Lamp_vq: 
      !>[X0: $tType,X1: $tType] : fun(X0,X1) ).

tff(func_def_834,type,
    aTP_Lamp_vr: 
      !>[X0: $tType,X1: $tType] : fun(X0,X1) ).

tff(func_def_835,type,
    aTP_Lamp_vs: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_836,type,
    aTP_Lamp_vt: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_837,type,
    aTP_Lamp_vu: 
      !>[X0: $tType,X1: $tType] : fun(X0,X1) ).

tff(func_def_838,type,
    aTP_Lamp_vv: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_839,type,
    aTP_Lamp_vw: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_840,type,
    aTP_Lamp_vx: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_841,type,
    aTP_Lamp_vy: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_842,type,
    aTP_Lamp_vz: 
      !>[X0: $tType,X1: $tType] : fun(X0,X1) ).

tff(func_def_843,type,
    aTP_Lamp_wa: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_844,type,
    aTP_Lamp_wb: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_845,type,
    aTP_Lamp_wc: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_846,type,
    aTP_Lamp_wd: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_847,type,
    aTP_Lamp_we: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_848,type,
    aTP_Lamp_wf: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_849,type,
    aTP_Lamp_wg: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_850,type,
    aTP_Lamp_wh: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_851,type,
    aTP_Lamp_wi: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_852,type,
    aTP_Lamp_wj: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_853,type,
    aTP_Lamp_wk: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_854,type,
    aTP_Lamp_wl: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_855,type,
    aTP_Lamp_wm: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_856,type,
    aTP_Lamp_wn: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_857,type,
    aTP_Lamp_wo: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_858,type,
    aTP_Lamp_wp: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_859,type,
    aTP_Lamp_wq: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_860,type,
    aTP_Lamp_wr: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_861,type,
    aTP_Lamp_ws: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_862,type,
    aTP_Lamp_wt: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_863,type,
    aTP_Lamp_wu: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_864,type,
    aTP_Lamp_wv: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_865,type,
    aTP_Lamp_ww: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_866,type,
    aTP_Lamp_wx: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_867,type,
    aTP_Lamp_wy: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_868,type,
    aTP_Lamp_wz: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_869,type,
    aTP_Lamp_xa: 
      !>[X0: $tType,X1: $tType] : fun(X0,X1) ).

tff(func_def_870,type,
    aTP_Lamp_xb: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_871,type,
    aTP_Lamp_xc: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_872,type,
    aTP_Lamp_xd: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_873,type,
    aTP_Lamp_xe: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_874,type,
    aTP_Lamp_xf: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_875,type,
    aTP_Lamp_xg: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_876,type,
    aTP_Lamp_xh: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_877,type,
    aTP_Lamp_xi: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_878,type,
    aTP_Lamp_xj: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_879,type,
    aTP_Lamp_xk: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_880,type,
    aTP_Lamp_xl: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_881,type,
    aTP_Lamp_xm: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_882,type,
    aTP_Lamp_xn: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_883,type,
    aTP_Lamp_xo: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_884,type,
    aTP_Lamp_xp: 
      !>[X0: $tType,X1: $tType] : fun(X0,X1) ).

tff(func_def_885,type,
    aTP_Lamp_xq: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_886,type,
    aTP_Lamp_xr: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_887,type,
    aTP_Lamp_xs: 
      !>[X0: $tType,X1: $tType] : fun(X0,X1) ).

tff(func_def_888,type,
    aTP_Lamp_xt: 
      !>[X0: $tType,X1: $tType] : fun(X0,X1) ).

tff(func_def_889,type,
    aTP_Lamp_xu: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_890,type,
    aTP_Lamp_xv: 
      !>[X0: $tType,X1: $tType] : fun(X0,X1) ).

tff(func_def_891,type,
    aTP_Lamp_xw: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_892,type,
    aTP_Lamp_xx: 
      !>[X0: $tType,X1: $tType] : fun(X0,X1) ).

tff(func_def_893,type,
    aTP_Lamp_xy: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_894,type,
    aTP_Lamp_xz: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_895,type,
    aTP_Lamp_ya: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_896,type,
    aTP_Lamp_yb: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_897,type,
    aTP_Lamp_yc: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_898,type,
    aTP_Lamp_yd: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_899,type,
    aTP_Lamp_ye: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_900,type,
    aTP_Lamp_yf: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_901,type,
    aTP_Lamp_yg: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_902,type,
    aTP_Lamp_yh: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_903,type,
    aTP_Lamp_yi: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_904,type,
    aTP_Lamp_yj: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_905,type,
    aTP_Lamp_yk: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_906,type,
    aTP_Lamp_yl: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_907,type,
    aTP_Lamp_ym: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_908,type,
    aTP_Lamp_yn: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_909,type,
    aTP_Lamp_yo: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_910,type,
    aTP_Lamp_yp: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_911,type,
    aTP_Lamp_yq: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_912,type,
    aTP_Lamp_yr: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_913,type,
    aTP_Lamp_ys: 
      !>[X0: $tType,X1: $tType] : fun(X0,X1) ).

tff(func_def_914,type,
    aTP_Lamp_yt: 
      !>[X0: $tType,X1: $tType] : fun(X0,X1) ).

tff(func_def_915,type,
    aTP_Lamp_yu: 
      !>[X0: $tType,X1: $tType] : fun(X0,X1) ).

tff(func_def_916,type,
    aTP_Lamp_yv: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_917,type,
    aTP_Lamp_yw: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_918,type,
    aTP_Lamp_yx: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_919,type,
    aTP_Lamp_yy: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_920,type,
    aTP_Lamp_yz: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_921,type,
    aTP_Lamp_za: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_922,type,
    aTP_Lamp_zb: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_923,type,
    aTP_Lamp_zc: 
      !>[X0: $tType,X1: $tType] : fun(X0,X1) ).

tff(func_def_924,type,
    aTP_Lamp_zd: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_925,type,
    aTP_Lamp_ze: 
      !>[X0: $tType,X1: $tType] : fun(X0,X1) ).

tff(func_def_926,type,
    aTP_Lamp_zf: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_927,type,
    aTP_Lamp_zg: 
      !>[X0: $tType,X1: $tType] : fun(X0,X1) ).

tff(func_def_928,type,
    aTP_Lamp_zh: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_929,type,
    aTP_Lamp_zi: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_930,type,
    aTP_Lamp_zj: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_931,type,
    aTP_Lamp_zk: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_932,type,
    aTP_Lamp_zl: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_933,type,
    aTP_Lamp_zm: 
      !>[X0: $tType,X1: $tType] : fun(X0,X1) ).

tff(func_def_934,type,
    aTP_Lamp_zn: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_935,type,
    aTP_Lamp_zo: 
      !>[X0: $tType,X1: $tType] : fun(X0,X1) ).

tff(func_def_936,type,
    aTP_Lamp_zp: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_937,type,
    aTP_Lamp_zq: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_938,type,
    aTP_Lamp_zr: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_939,type,
    aTP_Lamp_zs: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_940,type,
    aTP_Lamp_zt: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_941,type,
    aTP_Lamp_zu: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_942,type,
    aTP_Lamp_zv: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_943,type,
    aTP_Lamp_zw: 
      !>[X0: $tType,X1: $tType] : fun(X0,X1) ).

tff(func_def_944,type,
    aTP_Lamp_zx: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_945,type,
    aTP_Lamp_zy: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_946,type,
    aTP_Lamp_zz: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_947,type,
    archimedean_ceiling: 
      !>[X0: $tType] : ( X0 > int ) ).

tff(func_def_948,type,
    archim6421214686448440834_floor: 
      !>[X0: $tType] : ( X0 > int ) ).

tff(func_def_949,type,
    archimedean_frac: 
      !>[X0: $tType] : ( X0 > X0 ) ).

tff(func_def_950,type,
    archimedean_round: 
      !>[X0: $tType] : ( X0 > int ) ).

tff(func_def_951,type,
    bNF_Cardinal_Csum: 
      !>[X0: $tType,X1: $tType] : ( ( set(product_prod(X0,X0)) * fun(X0,set(product_prod(X1,X1))) ) > set(product_prod(product_prod(X0,X1),product_prod(X0,X1))) ) ).

tff(func_def_952,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_953,type,
    bNF_Cardinal_cone: set(product_prod(product_unit,product_unit)) ).

tff(func_def_954,type,
    bNF_Cardinal_cprod: 
      !>[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_955,type,
    bNF_Cardinal_csum: 
      !>[X0: $tType,X1: $tType] : ( ( set(product_prod(X0,X0)) * set(product_prod(X1,X1)) ) > set(product_prod(sum_sum(X0,X1),sum_sum(X0,X1))) ) ).

tff(func_def_956,type,
    bNF_Cardinal_ctwo: set(product_prod($o,$o)) ).

tff(func_def_957,type,
    bNF_Cardinal_czero: 
      !>[X0: $tType] : set(product_prod(X0,X0)) ).

tff(func_def_958,type,
    bNF_Ca8387033319878233205ardSuc: 
      !>[X0: $tType] : ( set(product_prod(X0,X0)) > set(product_prod(set(X0),set(X0))) ) ).

tff(func_def_959,type,
    bNF_Ca6860139660246222851ard_of: 
      !>[X0: $tType] : ( set(X0) > set(product_prod(X0,X0)) ) ).

tff(func_def_960,type,
    bNF_Ca8665028551170535155natLeq: set(product_prod(nat,nat)) ).

tff(func_def_961,type,
    bNF_Gr: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,X1) ) > set(product_prod(X0,X1)) ) ).

tff(func_def_962,type,
    bNF_collect: 
      !>[X0: $tType,X1: $tType] : ( set(fun(X0,set(X1))) > fun(X0,set(X1)) ) ).

tff(func_def_963,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_964,type,
    bNF_Gr5436034075474128252omCard: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * set(product_prod(X1,X1)) * X1 ) > X0 ) ).

tff(func_def_965,type,
    bNF_Greatest_image2: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( set(X0) * fun(X0,X1) * fun(X0,X2) ) > set(product_prod(X1,X2)) ) ).

tff(func_def_966,type,
    bNF_Gr4221423524335903396lImage: 
      !>[X0: $tType,X1: $tType] : ( ( set(product_prod(X0,X0)) * fun(X0,X1) ) > set(product_prod(X1,X1)) ) ).

tff(func_def_967,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_968,type,
    bNF_Greatest_toCard: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * set(product_prod(X1,X1)) ) > fun(X0,X1) ) ).

tff(func_def_969,type,
    bNF_Wellorder_Func: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * set(X1) ) > set(fun(X0,X1)) ) ).

tff(func_def_970,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_971,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_972,type,
    bNF_We2720479622203943262_image: 
      !>[X0: $tType,X1: $tType] : ( ( set(product_prod(X0,X0)) * fun(X0,X1) ) > set(product_prod(X1,X1)) ) ).

tff(func_def_973,type,
    bNF_We413866401316099525erIncl: 
      !>[X0: $tType] : ( set(product_prod(X0,X0)) > set(product_prod(set(X0),set(X0))) ) ).

tff(func_def_974,type,
    bNF_Wellorder_ordIso: 
      !>[X0: $tType,X1: $tType] : set(product_prod(set(product_prod(X0,X0)),set(product_prod(X1,X1)))) ).

tff(func_def_975,type,
    bNF_Wellorder_ordLeq: 
      !>[X0: $tType,X1: $tType] : set(product_prod(set(product_prod(X0,X0)),set(product_prod(X1,X1)))) ).

tff(func_def_976,type,
    bNF_We4044943003108391690rdLess: 
      !>[X0: $tType,X1: $tType] : set(product_prod(set(product_prod(X0,X0)),set(product_prod(X1,X1)))) ).

tff(func_def_977,type,
    bNF_We1388413361240627857o_max2: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * X0 * X0 ) > X0 ) ).

tff(func_def_978,type,
    bNF_We6954850376910717587_minim: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * set(X0) ) > X0 ) ).

tff(func_def_979,type,
    bNF_Wellorder_wo_suc: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * set(X0) ) > X0 ) ).

tff(func_def_980,type,
    basic_BNF_size_prod: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,nat) * fun(X1,nat) * product_prod(X0,X1) ) > nat ) ).

tff(func_def_981,type,
    basic_fsts: 
      !>[X0: $tType,X1: $tType] : ( product_prod(X0,X1) > set(X0) ) ).

tff(func_def_982,type,
    basic_snds: 
      !>[X0: $tType,X1: $tType] : ( product_prod(X0,X1) > set(X1) ) ).

tff(func_def_983,type,
    binomial: nat > fun(nat,nat) ).

tff(func_def_984,type,
    gbinomial: 
      !>[X0: $tType] : ( X0 > fun(nat,X0) ) ).

tff(func_def_985,type,
    bit_and_int_rel: fun(product_prod(int,int),fun(product_prod(int,int),$o)) ).

tff(func_def_986,type,
    bit_and_not_num: ( num * num ) > option(num) ).

tff(func_def_987,type,
    bit_and_not_num_rel: fun(product_prod(num,num),fun(product_prod(num,num),$o)) ).

tff(func_def_988,type,
    bit_concat_bit: ( nat * int * int ) > int ).

tff(func_def_989,type,
    bit_or_not_num_neg: ( num * num ) > num ).

tff(func_def_990,type,
    bit_or3848514188828904588eg_rel: fun(product_prod(num,num),fun(product_prod(num,num),$o)) ).

tff(func_def_991,type,
    bit_ri4277139882892585799ns_not: 
      !>[X0: $tType] : ( X0 > X0 ) ).

tff(func_def_992,type,
    bit_ri4674362597316999326ke_bit: 
      !>[X0: $tType] : ( nat > fun(X0,X0) ) ).

tff(func_def_993,type,
    bit_se5824344872417868541ns_and: 
      !>[X0: $tType] : ( ( X0 * X0 ) > X0 ) ).

tff(func_def_994,type,
    bit_se4197421643247451524op_bit: 
      !>[X0: $tType] : ( ( nat * X0 ) > X0 ) ).

tff(func_def_995,type,
    bit_se8732182000553998342ip_bit: 
      !>[X0: $tType] : ( ( nat * X0 ) > X0 ) ).

tff(func_def_996,type,
    bit_se2239418461657761734s_mask: 
      !>[X0: $tType] : ( nat > X0 ) ).

tff(func_def_997,type,
    bit_se1065995026697491101ons_or: 
      !>[X0: $tType] : ( ( X0 * X0 ) > X0 ) ).

tff(func_def_998,type,
    bit_se4730199178511100633sh_bit: 
      !>[X0: $tType] : ( ( nat * X0 ) > X0 ) ).

tff(func_def_999,type,
    bit_se5668285175392031749et_bit: 
      !>[X0: $tType] : ( ( nat * X0 ) > X0 ) ).

tff(func_def_1000,type,
    bit_se2584673776208193580ke_bit: 
      !>[X0: $tType] : ( nat > fun(X0,X0) ) ).

tff(func_def_1001,type,
    bit_se2638667681897837118et_bit: 
      !>[X0: $tType] : ( ( nat * X0 ) > X0 ) ).

tff(func_def_1002,type,
    bit_se5824344971392196577ns_xor: 
      !>[X0: $tType] : ( ( X0 * X0 ) > X0 ) ).

tff(func_def_1003,type,
    bit_se5641148757651400278ts_bit: 
      !>[X0: $tType] : ( X0 > fun(nat,$o) ) ).

tff(func_def_1004,type,
    bit_take_bit_num: ( nat * num ) > option(num) ).

tff(func_def_1005,type,
    bit_un7362597486090784418nd_num: ( num * num ) > option(num) ).

tff(func_def_1006,type,
    bit_un4731106466462545111um_rel: fun(product_prod(num,num),fun(product_prod(num,num),$o)) ).

tff(func_def_1007,type,
    bit_un2480387367778600638or_num: ( num * num ) > option(num) ).

tff(func_def_1008,type,
    bit_un2901131394128224187um_rel: fun(product_prod(num,num),fun(product_prod(num,num),$o)) ).

tff(func_def_1009,type,
    code_bit_cut_integer: code_integer > product_prod(code_integer,$o) ).

tff(func_def_1010,type,
    code_divmod_abs: ( code_integer * code_integer ) > product_prod(code_integer,code_integer) ).

tff(func_def_1011,type,
    code_divmod_integer: ( code_integer * code_integer ) > product_prod(code_integer,code_integer) ).

tff(func_def_1012,type,
    code_int_of_integer: code_integer > int ).

tff(func_def_1013,type,
    code_integer_of_int: int > code_integer ).

tff(func_def_1014,type,
    code_integer_of_nat: nat > code_integer ).

tff(func_def_1015,type,
    code_integer_of_num: fun(num,code_integer) ).

tff(func_def_1016,type,
    code_nat_of_integer: fun(code_integer,nat) ).

tff(func_def_1017,type,
    code_negative: fun(num,code_integer) ).

tff(func_def_1018,type,
    code_num_of_integer: code_integer > num ).

tff(func_def_1019,type,
    code_positive: fun(num,code_integer) ).

tff(func_def_1020,type,
    code_Target_negative: fun(num,int) ).

tff(func_def_1021,type,
    code_Target_positive: fun(num,int) ).

tff(func_def_1022,type,
    complete_Inf_Inf: 
      !>[X0: $tType] : fun(set(X0),X0) ).

tff(func_def_1023,type,
    complete_Sup_Sup: 
      !>[X0: $tType] : fun(set(X0),X0) ).

tff(func_def_1024,type,
    comple7512665784863727008ratesp: 
      !>[X0: $tType] : ( fun(X0,X0) > fun(X0,$o) ) ).

tff(func_def_1025,type,
    arg: complex > real ).

tff(func_def_1026,type,
    cis: real > complex ).

tff(func_def_1027,type,
    cnj: complex > complex ).

tff(func_def_1028,type,
    complex2: ( real * real ) > complex ).

tff(func_def_1029,type,
    im: complex > real ).

tff(func_def_1030,type,
    re: complex > real ).

tff(func_def_1031,type,
    csqrt: complex > complex ).

tff(func_def_1032,type,
    imaginary_unit: complex ).

tff(func_def_1033,type,
    rcis: ( real * real ) > complex ).

tff(func_def_1034,type,
    counta4804993851260445106t_into: 
      !>[X0: $tType] : fun(set(X0),fun(nat,X0)) ).

tff(func_def_1035,type,
    adjust_div: product_prod(int,int) > int ).

tff(func_def_1036,type,
    adjust_mod: ( int * int ) > int ).

tff(func_def_1037,type,
    divmod_nat: ( nat * nat ) > product_prod(nat,nat) ).

tff(func_def_1038,type,
    unique8689654367752047608divmod: 
      !>[X0: $tType] : ( ( num * num ) > product_prod(X0,X0) ) ).

tff(func_def_1039,type,
    unique1321980374590559556d_step: 
      !>[X0: $tType] : ( ( num * product_prod(X0,X0) ) > product_prod(X0,X0) ) ).

tff(func_def_1040,type,
    equiv_proj: 
      !>[X0: $tType,X1: $tType] : ( ( set(product_prod(X0,X1)) * X0 ) > set(X1) ) ).

tff(func_def_1041,type,
    equiv_quotient: 
      !>[X0: $tType] : ( ( set(X0) * set(product_prod(X0,X0)) ) > set(set(X0)) ) ).

tff(func_def_1042,type,
    extended_eSuc: extended_enat > extended_enat ).

tff(func_def_1043,type,
    extended_enat2: nat > extended_enat ).

tff(func_def_1044,type,
    extended_case_enat: 
      !>[X0: $tType] : ( ( fun(nat,X0) * X0 * extended_enat ) > X0 ) ).

tff(func_def_1045,type,
    extend4730790105801354508finity: 
      !>[X0: $tType] : X0 ).

tff(func_def_1046,type,
    comm_s3205402744901411588hammer: 
      !>[X0: $tType] : ( ( X0 * nat ) > X0 ) ).

tff(func_def_1047,type,
    semiring_char_0_fact: 
      !>[X0: $tType] : ( nat > X0 ) ).

tff(func_def_1048,type,
    inverse_inverse: 
      !>[X0: $tType] : fun(X0,X0) ).

tff(func_def_1049,type,
    at_bot: 
      !>[X0: $tType] : filter(X0) ).

tff(func_def_1050,type,
    at_top: 
      !>[X0: $tType] : filter(X0) ).

tff(func_def_1051,type,
    eventually: 
      !>[X0: $tType] : fun(fun(X0,$o),fun(filter(X0),$o)) ).

tff(func_def_1052,type,
    abs_filter: 
      !>[X0: $tType] : ( fun(fun(X0,$o),$o) > filter(X0) ) ).

tff(func_def_1053,type,
    filtercomap: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * filter(X1) ) > filter(X0) ) ).

tff(func_def_1054,type,
    filtermap: 
      !>[X0: $tType,X1: $tType] : fun(fun(X0,X1),fun(filter(X0),filter(X1))) ).

tff(func_def_1055,type,
    finite5375528669736107172at_top: 
      !>[X0: $tType] : ( set(X0) > filter(set(X0)) ) ).

tff(func_def_1056,type,
    frequently: 
      !>[X0: $tType] : fun(fun(X0,$o),fun(filter(X0),$o)) ).

tff(func_def_1057,type,
    map_filter_on: 
      !>[X0: $tType,X1: $tType] : ( set(X0) > fun(fun(X0,X1),fun(filter(X0),filter(X1))) ) ).

tff(func_def_1058,type,
    principal: 
      !>[X0: $tType] : ( set(X0) > filter(X0) ) ).

tff(func_def_1059,type,
    prod_filter: 
      !>[X0: $tType,X1: $tType] : ( ( filter(X0) * filter(X1) ) > filter(product_prod(X0,X1)) ) ).

tff(func_def_1060,type,
    rel_filter: 
      !>[X0: $tType,X1: $tType] : ( fun(X0,fun(X1,$o)) > fun(filter(X0),fun(filter(X1),$o)) ) ).

tff(func_def_1061,type,
    finite_Fpow: 
      !>[X0: $tType] : ( set(X0) > set(set(X0)) ) ).

tff(func_def_1062,type,
    finite_card: 
      !>[X0: $tType] : fun(set(X0),nat) ).

tff(func_def_1063,type,
    finite_finite2: 
      !>[X0: $tType] : fun(set(X0),$o) ).

tff(func_def_1064,type,
    finite_fold: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,fun(X1,X1)) * X1 * set(X0) ) > X1 ) ).

tff(func_def_1065,type,
    finite_folding_F: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,fun(X1,X1)) * X1 ) > fun(set(X0),X1) ) ).

tff(func_def_1066,type,
    comp: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( fun(X0,X1) > fun(fun(X2,X0),fun(X2,X1)) ) ).

tff(func_def_1067,type,
    fun_upd: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * X0 * X1 ) > fun(X0,X1) ) ).

tff(func_def_1068,type,
    id: 
      !>[X0: $tType] : fun(X0,X0) ).

tff(func_def_1069,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_1070,type,
    the_inv_into: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,X1) * X1 ) > X0 ) ).

tff(func_def_1071,type,
    fun_max_strict: set(product_prod(set(product_prod(nat,nat)),set(product_prod(nat,nat)))) ).

tff(func_def_1072,type,
    fun_max_weak: set(product_prod(set(product_prod(nat,nat)),set(product_prod(nat,nat)))) ).

tff(func_def_1073,type,
    fun_min_strict: set(product_prod(set(product_prod(nat,nat)),set(product_prod(nat,nat)))) ).

tff(func_def_1074,type,
    fun_min_weak: set(product_prod(set(product_prod(nat,nat)),set(product_prod(nat,nat)))) ).

tff(func_def_1075,type,
    fun_pair_leq: set(product_prod(product_prod(nat,nat),product_prod(nat,nat))) ).

tff(func_def_1076,type,
    fun_pair_less: set(product_prod(product_prod(nat,nat),product_prod(nat,nat))) ).

tff(func_def_1077,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_1078,type,
    gcd_Gcd: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_1079,type,
    bezw: ( nat * nat ) > product_prod(int,int) ).

tff(func_def_1080,type,
    bezw_rel: fun(product_prod(nat,nat),fun(product_prod(nat,nat),$o)) ).

tff(func_def_1081,type,
    gcd_gcd: 
      !>[X0: $tType] : fun(X0,fun(X0,X0)) ).

tff(func_def_1082,type,
    gcd_nat_rel: fun(product_prod(nat,nat),fun(product_prod(nat,nat),$o)) ).

tff(func_def_1083,type,
    semiring_gcd_Gcd_fin: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_1084,type,
    abs_abs: 
      !>[X0: $tType] : fun(X0,X0) ).

tff(func_def_1085,type,
    minus_minus: 
      !>[X0: $tType] : fun(X0,fun(X0,X0)) ).

tff(func_def_1086,type,
    one_one: 
      !>[X0: $tType] : X0 ).

tff(func_def_1087,type,
    plus_plus: 
      !>[X0: $tType] : fun(X0,fun(X0,X0)) ).

tff(func_def_1088,type,
    sgn_sgn: 
      !>[X0: $tType] : fun(X0,X0) ).

tff(func_def_1089,type,
    times_times: 
      !>[X0: $tType] : fun(X0,fun(X0,X0)) ).

tff(func_def_1090,type,
    uminus_uminus: 
      !>[X0: $tType] : fun(X0,X0) ).

tff(func_def_1091,type,
    zero_zero: 
      !>[X0: $tType] : X0 ).

tff(func_def_1092,type,
    groups7311177749621191930dd_sum: 
      !>[X0: $tType,X1: $tType] : fun(fun(X0,X1),fun(set(X0),X1)) ).

tff(func_def_1093,type,
    groups1027152243600224163dd_sum: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * set(X0) ) > X1 ) ).

tff(func_def_1094,type,
    groups7121269368397514597t_prod: 
      !>[X0: $tType,X1: $tType] : fun(fun(X0,X1),fun(set(X0),X1)) ).

tff(func_def_1095,type,
    groups1962203154675924110t_prod: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * set(X0) ) > X1 ) ).

tff(func_def_1096,type,
    groups4207007520872428315er_sum: 
      !>[X0: $tType,X1: $tType] : fun(fun(X0,X1),fun(X1,fun(list(X0),X1))) ).

tff(func_def_1097,type,
    groups8242544230860333062m_list: 
      !>[X0: $tType] : fun(list(X0),X0) ).

tff(func_def_1098,type,
    groups5270119922927024881d_list: 
      !>[X0: $tType] : ( list(X0) > X0 ) ).

tff(func_def_1099,type,
    the: 
      !>[X0: $tType] : ( fun(X0,$o) > X0 ) ).

tff(func_def_1100,type,
    undefined: 
      !>[X0: $tType] : X0 ).

tff(func_def_1101,type,
    complete_lattice_gfp: 
      !>[X0: $tType] : ( fun(X0,X0) > X0 ) ).

tff(func_def_1102,type,
    complete_lattice_lfp: 
      !>[X0: $tType] : ( fun(X0,X0) > X0 ) ).

tff(func_def_1103,type,
    infini527867602293511546merate: 
      !>[X0: $tType] : ( ( set(X0) * nat ) > X0 ) ).

tff(func_def_1104,type,
    abs_Integ: fun(product_prod(nat,nat),int) ).

tff(func_def_1105,type,
    rep_Integ: fun(int,product_prod(nat,nat)) ).

tff(func_def_1106,type,
    intrel: fun(product_prod(nat,nat),fun(product_prod(nat,nat),$o)) ).

tff(func_def_1107,type,
    nat2: int > nat ).

tff(func_def_1108,type,
    pcr_int: fun(product_prod(nat,nat),fun(int,$o)) ).

tff(func_def_1109,type,
    power_int: 
      !>[X0: $tType] : ( ( X0 * int ) > X0 ) ).

tff(func_def_1110,type,
    ring_1_Ints: 
      !>[X0: $tType] : set(X0) ).

tff(func_def_1111,type,
    ring_1_of_int: 
      !>[X0: $tType] : fun(int,X0) ).

tff(func_def_1112,type,
    inf_inf: 
      !>[X0: $tType] : fun(X0,fun(X0,X0)) ).

tff(func_def_1113,type,
    sup_sup: 
      !>[X0: $tType] : fun(X0,fun(X0,X0)) ).

tff(func_def_1114,type,
    lattices_Max: 
      !>[X0: $tType] : ( fun(X0,fun(X0,$o)) > fun(set(X0),X0) ) ).

tff(func_def_1115,type,
    lattices_Min: 
      !>[X0: $tType] : ( fun(X0,fun(X0,$o)) > fun(set(X0),X0) ) ).

tff(func_def_1116,type,
    lattic643756798349783984er_Max: 
      !>[X0: $tType] : fun(set(X0),X0) ).

tff(func_def_1117,type,
    lattic643756798350308766er_Min: 
      !>[X0: $tType] : fun(set(X0),X0) ).

tff(func_def_1118,type,
    lattices_ord_arg_min: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * fun(X0,$o) ) > X0 ) ).

tff(func_def_1119,type,
    lattic7623131987881927897min_on: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * set(X0) ) > X0 ) ).

tff(func_def_1120,type,
    lattic7752659483105999362nf_fin: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_1121,type,
    lattic1715443433743089157tice_F: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,X0)) * set(X0) ) > X0 ) ).

tff(func_def_1122,type,
    lattic5882676163264333800up_fin: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_1123,type,
    at_infinity: 
      !>[X0: $tType] : filter(X0) ).

tff(func_def_1124,type,
    bleast: 
      !>[X0: $tType] : ( ( set(X0) * fun(X0,$o) ) > X0 ) ).

tff(func_def_1125,type,
    abort_Bleast: 
      !>[X0: $tType] : ( ( set(X0) * fun(X0,$o) ) > X0 ) ).

tff(func_def_1126,type,
    append: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) ) > list(X0) ) ).

tff(func_def_1127,type,
    arg_min_list: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * list(X0) ) > X0 ) ).

tff(func_def_1128,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_1129,type,
    bind: 
      !>[X0: $tType,X1: $tType] : ( ( list(X0) * fun(X0,list(X1)) ) > list(X1) ) ).

tff(func_def_1130,type,
    butlast: 
      !>[X0: $tType] : fun(list(X0),list(X0)) ).

tff(func_def_1131,type,
    concat: 
      !>[X0: $tType] : ( list(list(X0)) > list(X0) ) ).

tff(func_def_1132,type,
    coset: 
      !>[X0: $tType] : ( list(X0) > set(X0) ) ).

tff(func_def_1133,type,
    count_list: 
      !>[X0: $tType] : ( list(X0) > fun(X0,nat) ) ).

tff(func_def_1134,type,
    drop: 
      !>[X0: $tType] : ( ( nat * list(X0) ) > list(X0) ) ).

tff(func_def_1135,type,
    dropWhile: 
      !>[X0: $tType] : ( ( fun(X0,$o) * list(X0) ) > list(X0) ) ).

tff(func_def_1136,type,
    enumerate: 
      !>[X0: $tType] : ( ( nat * list(X0) ) > list(product_prod(nat,X0)) ) ).

tff(func_def_1137,type,
    extract: 
      !>[X0: $tType] : ( ( fun(X0,$o) * list(X0) ) > option(product_prod(list(X0),product_prod(X0,list(X0)))) ) ).

tff(func_def_1138,type,
    filter2: 
      !>[X0: $tType] : ( ( fun(X0,$o) * list(X0) ) > list(X0) ) ).

tff(func_def_1139,type,
    find: 
      !>[X0: $tType] : ( ( fun(X0,$o) * list(X0) ) > option(X0) ) ).

tff(func_def_1140,type,
    fold: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,fun(X1,X1)) * list(X0) ) > fun(X1,X1) ) ).

tff(func_def_1141,type,
    foldl: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,fun(X1,X0)) * X0 * list(X1) ) > X0 ) ).

tff(func_def_1142,type,
    foldr: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,fun(X1,X1)) * list(X0) ) > fun(X1,X1) ) ).

tff(func_def_1143,type,
    gen_length: 
      !>[X0: $tType] : ( nat > fun(list(X0),nat) ) ).

tff(func_def_1144,type,
    insert: 
      !>[X0: $tType] : ( ( X0 * list(X0) ) > list(X0) ) ).

tff(func_def_1145,type,
    last: 
      !>[X0: $tType] : ( list(X0) > X0 ) ).

tff(func_def_1146,type,
    lenlex: 
      !>[X0: $tType] : ( set(product_prod(X0,X0)) > set(product_prod(list(X0),list(X0))) ) ).

tff(func_def_1147,type,
    lex: 
      !>[X0: $tType] : ( set(product_prod(X0,X0)) > set(product_prod(list(X0),list(X0))) ) ).

tff(func_def_1148,type,
    lexn: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * nat ) > set(product_prod(list(X0),list(X0))) ) ).

tff(func_def_1149,type,
    lexord: 
      !>[X0: $tType] : ( set(product_prod(X0,X0)) > set(product_prod(list(X0),list(X0))) ) ).

tff(func_def_1150,type,
    insort_key: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,fun(X0,$o)) * fun(X1,X0) * X1 * list(X1) ) > list(X1) ) ).

tff(func_def_1151,type,
    sorted8670434370408473282of_set: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,fun(X0,$o)) * fun(X1,X0) * set(X1) ) > list(X1) ) ).

tff(func_def_1152,type,
    linord329482645794927042rt_key: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * X0 * list(X0) ) > list(X0) ) ).

tff(func_def_1153,type,
    linorder_insort_key: 
      !>[X0: $tType,X1: $tType] : ( fun(X0,X1) > fun(X0,fun(list(X0),list(X0))) ) ).

tff(func_def_1154,type,
    linorder_sort_key: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * list(X0) ) > list(X0) ) ).

tff(func_def_1155,type,
    linord4507533701916653071of_set: 
      !>[X0: $tType] : ( set(X0) > list(X0) ) ).

tff(func_def_1156,type,
    cons: 
      !>[X0: $tType] : fun(X0,fun(list(X0),list(X0))) ).

tff(func_def_1157,type,
    nil: 
      !>[X0: $tType] : list(X0) ).

tff(func_def_1158,type,
    case_list: 
      !>[X0: $tType,X1: $tType] : ( ( X0 * fun(X1,fun(list(X1),X0)) * list(X1) ) > X0 ) ).

tff(func_def_1159,type,
    hd: 
      !>[X0: $tType] : ( list(X0) > X0 ) ).

tff(func_def_1160,type,
    list_all2: 
      !>[X0: $tType,X1: $tType] : ( fun(X0,fun(X1,$o)) > fun(list(X0),fun(list(X1),$o)) ) ).

tff(func_def_1161,type,
    map: 
      !>[X0: $tType,X1: $tType] : ( fun(X0,X1) > fun(list(X0),list(X1)) ) ).

tff(func_def_1162,type,
    rec_list: 
      !>[X0: $tType,X1: $tType] : ( ( X0 * fun(X1,fun(list(X1),fun(X0,X0))) * list(X1) ) > X0 ) ).

tff(func_def_1163,type,
    set2: 
      !>[X0: $tType] : fun(list(X0),set(X0)) ).

tff(func_def_1164,type,
    size_list: 
      !>[X0: $tType] : ( ( fun(X0,nat) * list(X0) ) > nat ) ).

tff(func_def_1165,type,
    tl: 
      !>[X0: $tType] : ( list(X0) > list(X0) ) ).

tff(func_def_1166,type,
    list_update: 
      !>[X0: $tType] : ( ( list(X0) * nat * X0 ) > list(X0) ) ).

tff(func_def_1167,type,
    listrel: 
      !>[X0: $tType,X1: $tType] : ( set(product_prod(X0,X1)) > set(product_prod(list(X0),list(X1))) ) ).

tff(func_def_1168,type,
    listrel1: 
      !>[X0: $tType] : ( set(product_prod(X0,X0)) > set(product_prod(list(X0),list(X0))) ) ).

tff(func_def_1169,type,
    listrelp: 
      !>[X0: $tType,X1: $tType] : ( fun(X0,fun(X1,$o)) > fun(list(X0),fun(list(X1),$o)) ) ).

tff(func_def_1170,type,
    lists: 
      !>[X0: $tType] : ( set(X0) > set(list(X0)) ) ).

tff(func_def_1171,type,
    map_filter: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,option(X1)) * list(X0) ) > list(X1) ) ).

tff(func_def_1172,type,
    map_project: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,option(X1)) * set(X0) ) > set(X1) ) ).

tff(func_def_1173,type,
    measures: 
      !>[X0: $tType] : ( list(fun(X0,nat)) > set(product_prod(X0,X0)) ) ).

tff(func_def_1174,type,
    min_list: 
      !>[X0: $tType] : ( list(X0) > X0 ) ).

tff(func_def_1175,type,
    n_lists: 
      !>[X0: $tType] : ( ( nat * list(X0) ) > list(list(X0)) ) ).

tff(func_def_1176,type,
    nth: 
      !>[X0: $tType] : ( list(X0) > fun(nat,X0) ) ).

tff(func_def_1177,type,
    nths: 
      !>[X0: $tType] : ( ( list(X0) * set(nat) ) > list(X0) ) ).

tff(func_def_1178,type,
    partition: 
      !>[X0: $tType] : ( fun(X0,$o) > fun(list(X0),product_prod(list(X0),list(X0))) ) ).

tff(func_def_1179,type,
    product: 
      !>[X0: $tType,X1: $tType] : ( ( list(X0) * list(X1) ) > list(product_prod(X0,X1)) ) ).

tff(func_def_1180,type,
    product_lists: 
      !>[X0: $tType] : ( list(list(X0)) > list(list(X0)) ) ).

tff(func_def_1181,type,
    remdups: 
      !>[X0: $tType] : ( list(X0) > list(X0) ) ).

tff(func_def_1182,type,
    remdups_adj: 
      !>[X0: $tType] : ( list(X0) > list(X0) ) ).

tff(func_def_1183,type,
    remove1: 
      !>[X0: $tType] : ( ( X0 * list(X0) ) > list(X0) ) ).

tff(func_def_1184,type,
    removeAll: 
      !>[X0: $tType] : ( ( X0 * list(X0) ) > list(X0) ) ).

tff(func_def_1185,type,
    replicate: 
      !>[X0: $tType] : ( ( nat * X0 ) > list(X0) ) ).

tff(func_def_1186,type,
    rev: 
      !>[X0: $tType] : ( list(X0) > list(X0) ) ).

tff(func_def_1187,type,
    rotate: 
      !>[X0: $tType] : ( nat > fun(list(X0),list(X0)) ) ).

tff(func_def_1188,type,
    rotate1: 
      !>[X0: $tType] : ( list(X0) > list(X0) ) ).

tff(func_def_1189,type,
    set_Cons: 
      !>[X0: $tType] : ( ( set(X0) * set(list(X0)) ) > set(list(X0)) ) ).

tff(func_def_1190,type,
    shuffles: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) ) > set(list(X0)) ) ).

tff(func_def_1191,type,
    sorted_wrt_rel: 
      !>[X0: $tType] : fun(product_prod(fun(X0,fun(X0,$o)),list(X0)),fun(product_prod(fun(X0,fun(X0,$o)),list(X0)),$o)) ).

tff(func_def_1192,type,
    subseqs: 
      !>[X0: $tType] : ( list(X0) > list(list(X0)) ) ).

tff(func_def_1193,type,
    take: 
      !>[X0: $tType] : ( ( nat * list(X0) ) > list(X0) ) ).

tff(func_def_1194,type,
    takeWhile: 
      !>[X0: $tType] : ( ( fun(X0,$o) * list(X0) ) > list(X0) ) ).

tff(func_def_1195,type,
    transpose: 
      !>[X0: $tType] : ( list(list(X0)) > list(list(X0)) ) ).

tff(func_def_1196,type,
    union: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) ) > list(X0) ) ).

tff(func_def_1197,type,
    upt: ( nat * nat ) > list(nat) ).

tff(func_def_1198,type,
    upto: ( int * int ) > list(int) ).

tff(func_def_1199,type,
    upto_rel: fun(product_prod(int,int),fun(product_prod(int,int),$o)) ).

tff(func_def_1200,type,
    zip: 
      !>[X0: $tType,X1: $tType] : ( ( list(X0) * list(X1) ) > list(product_prod(X0,X1)) ) ).

tff(func_def_1201,type,
    dom: 
      !>[X0: $tType,X1: $tType] : ( fun(X0,option(X1)) > set(X0) ) ).

tff(func_def_1202,type,
    graph: 
      !>[X0: $tType,X1: $tType] : ( fun(X0,option(X1)) > set(product_prod(X0,X1)) ) ).

tff(func_def_1203,type,
    map_add: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,option(X1)) * fun(X0,option(X1)) ) > fun(X0,option(X1)) ) ).

tff(func_def_1204,type,
    map_comp: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( fun(X0,option(X1)) * fun(X2,option(X0)) * X2 ) > option(X1) ) ).

tff(func_def_1205,type,
    map_of: 
      !>[X0: $tType,X1: $tType] : ( list(product_prod(X0,X1)) > fun(X0,option(X1)) ) ).

tff(func_def_1206,type,
    map_upds: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,option(X1)) * list(X0) * list(X1) ) > fun(X0,option(X1)) ) ).

tff(func_def_1207,type,
    ran: 
      !>[X0: $tType,X1: $tType] : ( fun(X0,option(X1)) > set(X1) ) ).

tff(func_def_1208,type,
    restrict_map: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,option(X1)) * set(X0) ) > fun(X0,option(X1)) ) ).

tff(func_def_1209,type,
    suc: fun(nat,nat) ).

tff(func_def_1210,type,
    compow: 
      !>[X0: $tType] : fun(nat,fun(X0,X0)) ).

tff(func_def_1211,type,
    funpow: 
      !>[X0: $tType] : fun(nat,fun(fun(X0,X0),fun(X0,X0))) ).

tff(func_def_1212,type,
    case_nat: 
      !>[X0: $tType] : ( ( X0 * fun(nat,X0) * nat ) > X0 ) ).

tff(func_def_1213,type,
    pred: nat > nat ).

tff(func_def_1214,type,
    rec_nat: 
      !>[X0: $tType] : ( ( X0 * fun(nat,fun(X0,X0)) ) > fun(nat,X0) ) ).

tff(func_def_1215,type,
    rec_set_nat: 
      !>[X0: $tType] : ( ( X0 * fun(nat,fun(X0,X0)) * nat ) > fun(X0,$o) ) ).

tff(func_def_1216,type,
    semiring_1_Nats: 
      !>[X0: $tType] : set(X0) ).

tff(func_def_1217,type,
    semiring_1_of_nat: 
      !>[X0: $tType] : fun(nat,X0) ).

tff(func_def_1218,type,
    semiri8178284476397505188at_aux: 
      !>[X0: $tType] : ( ( fun(X0,X0) * nat * X0 ) > X0 ) ).

tff(func_def_1219,type,
    size_size: 
      !>[X0: $tType] : fun(X0,nat) ).

tff(func_def_1220,type,
    nat_list_decode: fun(nat,list(nat)) ).

tff(func_def_1221,type,
    nat_list_decode_rel: fun(nat,fun(nat,$o)) ).

tff(func_def_1222,type,
    nat_list_encode: fun(list(nat),nat) ).

tff(func_def_1223,type,
    nat_list_encode_rel: fun(list(nat),fun(list(nat),$o)) ).

tff(func_def_1224,type,
    nat_prod_decode: fun(nat,product_prod(nat,nat)) ).

tff(func_def_1225,type,
    nat_prod_decode_aux: nat > fun(nat,product_prod(nat,nat)) ).

tff(func_def_1226,type,
    nat_pr5047031295181774490ux_rel: fun(product_prod(nat,nat),fun(product_prod(nat,nat),$o)) ).

tff(func_def_1227,type,
    nat_prod_encode: fun(product_prod(nat,nat),nat) ).

tff(func_def_1228,type,
    nat_set_decode: nat > set(nat) ).

tff(func_def_1229,type,
    nat_set_encode: fun(set(nat),nat) ).

tff(func_def_1230,type,
    nat_triangle: nat > nat ).

tff(func_def_1231,type,
    root: nat > fun(real,real) ).

tff(func_def_1232,type,
    sqrt: fun(real,real) ).

tff(func_def_1233,type,
    bitM: num > num ).

tff(func_def_1234,type,
    inc: num > num ).

tff(func_def_1235,type,
    neg_numeral_dbl: 
      !>[X0: $tType] : ( X0 > X0 ) ).

tff(func_def_1236,type,
    neg_numeral_dbl_dec: 
      !>[X0: $tType] : ( X0 > X0 ) ).

tff(func_def_1237,type,
    neg_numeral_dbl_inc: 
      !>[X0: $tType] : ( X0 > X0 ) ).

tff(func_def_1238,type,
    neg_numeral_sub: 
      !>[X0: $tType] : ( ( num * num ) > X0 ) ).

tff(func_def_1239,type,
    bit0: fun(num,num) ).

tff(func_def_1240,type,
    bit1: fun(num,num) ).

tff(func_def_1241,type,
    one2: num ).

tff(func_def_1242,type,
    case_num: 
      !>[X0: $tType] : ( ( X0 * fun(num,X0) * fun(num,X0) * num ) > X0 ) ).

tff(func_def_1243,type,
    size_num: num > nat ).

tff(func_def_1244,type,
    num_of_nat: nat > num ).

tff(func_def_1245,type,
    numeral_numeral: 
      !>[X0: $tType] : fun(num,X0) ).

tff(func_def_1246,type,
    pow: ( num * num ) > num ).

tff(func_def_1247,type,
    pred_numeral: num > nat ).

tff(func_def_1248,type,
    sqr: num > num ).

tff(func_def_1249,type,
    none: 
      !>[X0: $tType] : option(X0) ).

tff(func_def_1250,type,
    some: 
      !>[X0: $tType] : fun(X0,option(X0)) ).

tff(func_def_1251,type,
    case_option: 
      !>[X0: $tType,X1: $tType] : ( ( X0 * fun(X1,X0) * option(X1) ) > X0 ) ).

tff(func_def_1252,type,
    map_option: 
      !>[X0: $tType,X1: $tType] : ( fun(X0,X1) > fun(option(X0),option(X1)) ) ).

tff(func_def_1253,type,
    rec_option: 
      !>[X0: $tType,X1: $tType] : ( ( X0 * fun(X1,X0) ) > fun(option(X1),X0) ) ).

tff(func_def_1254,type,
    size_option: 
      !>[X0: $tType] : ( fun(X0,nat) > fun(option(X0),nat) ) ).

tff(func_def_1255,type,
    the2: 
      !>[X0: $tType] : fun(option(X0),X0) ).

tff(func_def_1256,type,
    these: 
      !>[X0: $tType] : ( set(option(X0)) > set(X0) ) ).

tff(func_def_1257,type,
    order_532582986084564980_cclfp: 
      !>[X0: $tType] : ( fun(X0,X0) > X0 ) ).

tff(func_def_1258,type,
    order_Above: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * set(X0) ) > set(X0) ) ).

tff(func_def_1259,type,
    order_AboveS: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * set(X0) ) > set(X0) ) ).

tff(func_def_1260,type,
    order_Under: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * set(X0) ) > set(X0) ) ).

tff(func_def_1261,type,
    order_UnderS: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * set(X0) ) > set(X0) ) ).

tff(func_def_1262,type,
    order_aboveS: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * X0 ) > set(X0) ) ).

tff(func_def_1263,type,
    order_relation_of: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,$o)) * set(X0) ) > set(product_prod(X0,X0)) ) ).

tff(func_def_1264,type,
    order_under: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * X0 ) > set(X0) ) ).

tff(func_def_1265,type,
    order_underS: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * X0 ) > set(X0) ) ).

tff(func_def_1266,type,
    bot_bot: 
      !>[X0: $tType] : X0 ).

tff(func_def_1267,type,
    least: 
      !>[X0: $tType] : ( fun(X0,fun(X0,$o)) > fun(fun(X0,$o),X0) ) ).

tff(func_def_1268,type,
    max: 
      !>[X0: $tType] : ( fun(X0,fun(X0,$o)) > fun(X0,fun(X0,X0)) ) ).

tff(func_def_1269,type,
    min: 
      !>[X0: $tType] : ( fun(X0,fun(X0,$o)) > fun(X0,fun(X0,X0)) ) ).

tff(func_def_1270,type,
    ord_Least: 
      !>[X0: $tType] : ( fun(X0,$o) > X0 ) ).

tff(func_def_1271,type,
    ord_less: 
      !>[X0: $tType] : fun(X0,fun(X0,$o)) ).

tff(func_def_1272,type,
    ord_less_eq: 
      !>[X0: $tType] : fun(X0,fun(X0,$o)) ).

tff(func_def_1273,type,
    ord_max: 
      !>[X0: $tType] : fun(X0,fun(X0,X0)) ).

tff(func_def_1274,type,
    ord_min: 
      !>[X0: $tType] : fun(X0,fun(X0,X0)) ).

tff(func_def_1275,type,
    order_Greatest: 
      !>[X0: $tType] : ( fun(X0,$o) > X0 ) ).

tff(func_def_1276,type,
    order_mono: 
      !>[X0: $tType,X1: $tType] : fun(fun(X0,X1),$o) ).

tff(func_def_1277,type,
    top_top: 
      !>[X0: $tType] : X0 ).

tff(func_def_1278,type,
    partial_flat_lub: 
      !>[X0: $tType] : ( ( X0 * set(X0) ) > X0 ) ).

tff(func_def_1279,type,
    power_power: 
      !>[X0: $tType] : fun(X0,fun(nat,X0)) ).

tff(func_def_1280,type,
    product_Pair: 
      !>[X0: $tType,X1: $tType] : fun(X0,fun(X1,product_prod(X0,X1))) ).

tff(func_def_1281,type,
    product_Sigma: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,set(X1)) ) > set(product_prod(X0,X1)) ) ).

tff(func_def_1282,type,
    product_apfst: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( fun(X0,X1) > fun(product_prod(X0,X2),product_prod(X1,X2)) ) ).

tff(func_def_1283,type,
    product_apsnd: 
      !>[X0: $tType,X1: $tType,X2: $tType] : fun(fun(X0,X1),fun(product_prod(X2,X0),product_prod(X2,X1))) ).

tff(func_def_1284,type,
    product_map_prod: 
      !>[X0: $tType,X1: $tType,X2: $tType,X3: $tType] : ( ( fun(X0,X1) * fun(X2,X3) ) > fun(product_prod(X0,X2),product_prod(X1,X3)) ) ).

tff(func_def_1285,type,
    product_rec_prod: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( fun(X0,fun(X1,X2)) * product_prod(X0,X1) ) > X2 ) ).

tff(func_def_1286,type,
    product_rec_set_prod: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( fun(X0,fun(X1,X2)) * product_prod(X0,X1) ) > fun(X2,$o) ) ).

tff(func_def_1287,type,
    product_case_prod: 
      !>[X0: $tType,X1: $tType,X2: $tType] : fun(fun(X0,fun(X1,X2)),fun(product_prod(X0,X1),X2)) ).

tff(func_def_1288,type,
    product_fst: 
      !>[X0: $tType,X1: $tType] : fun(product_prod(X0,X1),X0) ).

tff(func_def_1289,type,
    product_snd: 
      !>[X0: $tType,X1: $tType] : fun(product_prod(X0,X1),X1) ).

tff(func_def_1290,type,
    product_swap: 
      !>[X0: $tType,X1: $tType] : fun(product_prod(X0,X1),product_prod(X1,X0)) ).

tff(func_def_1291,type,
    product_product: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * set(X1) ) > set(product_prod(X0,X1)) ) ).

tff(func_def_1292,type,
    product_scomp: 
      !>[X0: $tType,X1: $tType,X2: $tType,X3: $tType] : ( ( fun(X0,product_prod(X1,X2)) * fun(X1,fun(X2,X3)) ) > fun(X0,X3) ) ).

tff(func_def_1293,type,
    product_Abs_unit: fun($o,product_unit) ).

tff(func_def_1294,type,
    product_Rep_unit: fun(product_unit,$o) ).

tff(func_def_1295,type,
    type2: 
      !>[X0: $tType] : itself(X0) ).

tff(func_def_1296,type,
    abs_Rat: fun(product_prod(int,int),rat) ).

tff(func_def_1297,type,
    fract: fun(int,fun(int,rat)) ).

tff(func_def_1298,type,
    frct: product_prod(int,int) > rat ).

tff(func_def_1299,type,
    rep_Rat: fun(rat,product_prod(int,int)) ).

tff(func_def_1300,type,
    field_char_0_of_rat: 
      !>[X0: $tType] : ( rat > X0 ) ).

tff(func_def_1301,type,
    normalize: product_prod(int,int) > product_prod(int,int) ).

tff(func_def_1302,type,
    of_int: int > rat ).

tff(func_def_1303,type,
    pcr_rat: fun(product_prod(int,int),fun(rat,$o)) ).

tff(func_def_1304,type,
    quotient_of: rat > product_prod(int,int) ).

tff(func_def_1305,type,
    ratrel: fun(product_prod(int,int),fun(product_prod(int,int),$o)) ).

tff(func_def_1306,type,
    real2: fun(nat,rat) > real ).

tff(func_def_1307,type,
    pcr_real: fun(fun(nat,rat),fun(real,$o)) ).

tff(func_def_1308,type,
    positive: fun(real,$o) ).

tff(func_def_1309,type,
    realrel: fun(fun(nat,rat),fun(fun(nat,rat),$o)) ).

tff(func_def_1310,type,
    rep_real: fun(real,fun(nat,rat)) ).

tff(func_def_1311,type,
    real_Vector_Reals: 
      !>[X0: $tType] : set(X0) ).

tff(func_def_1312,type,
    real_Vector_dim: 
      !>[X0: $tType] : ( set(X0) > nat ) ).

tff(func_def_1313,type,
    real_V557655796197034286t_dist: 
      !>[X0: $tType] : ( ( X0 * X0 ) > real ) ).

tff(func_def_1314,type,
    real_V7770717601297561774m_norm: 
      !>[X0: $tType] : ( X0 > real ) ).

tff(func_def_1315,type,
    real_Vector_of_real: 
      !>[X0: $tType] : ( real > X0 ) ).

tff(func_def_1316,type,
    real_V7696804695334737415tation: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > fun(X0,real) ) ).

tff(func_def_1317,type,
    real_V8093663219630862766scaleR: 
      !>[X0: $tType] : ( ( real * X0 ) > X0 ) ).

tff(func_def_1318,type,
    real_Vector_span: 
      !>[X0: $tType] : ( set(X0) > set(X0) ) ).

tff(func_def_1319,type,
    domain: 
      !>[X0: $tType,X1: $tType] : fun(set(product_prod(X0,X1)),set(X0)) ).

tff(func_def_1320,type,
    field2: 
      !>[X0: $tType] : fun(set(product_prod(X0,X0)),set(X0)) ).

tff(func_def_1321,type,
    id2: 
      !>[X0: $tType] : set(product_prod(X0,X0)) ).

tff(func_def_1322,type,
    id_on: 
      !>[X0: $tType] : ( set(X0) > set(product_prod(X0,X0)) ) ).

tff(func_def_1323,type,
    image: 
      !>[X0: $tType,X1: $tType] : ( ( set(product_prod(X0,X1)) * set(X0) ) > set(X1) ) ).

tff(func_def_1324,type,
    range: 
      !>[X0: $tType,X1: $tType] : fun(set(product_prod(X0,X1)),set(X1)) ).

tff(func_def_1325,type,
    rangep: 
      !>[X0: $tType,X1: $tType] : ( fun(X0,fun(X1,$o)) > fun(X1,$o) ) ).

tff(func_def_1326,type,
    converse: 
      !>[X0: $tType,X1: $tType] : ( set(product_prod(X0,X1)) > set(product_prod(X1,X0)) ) ).

tff(func_def_1327,type,
    conversep: 
      !>[X0: $tType,X1: $tType] : ( fun(X0,fun(X1,$o)) > fun(X1,fun(X0,$o)) ) ).

tff(func_def_1328,type,
    inv_image: 
      !>[X0: $tType,X1: $tType] : ( ( set(product_prod(X0,X0)) * fun(X1,X0) ) > set(product_prod(X1,X1)) ) ).

tff(func_def_1329,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_1330,type,
    divide_divide: 
      !>[X0: $tType] : ( ( X0 * X0 ) > X0 ) ).

tff(func_def_1331,type,
    modulo_modulo: 
      !>[X0: $tType] : ( ( X0 * X0 ) > X0 ) ).

tff(func_def_1332,type,
    zero_neq_one_of_bool: 
      !>[X0: $tType] : fun($o,X0) ).

tff(func_def_1333,type,
    suminf: 
      !>[X0: $tType] : ( fun(nat,X0) > X0 ) ).

tff(func_def_1334,type,
    ball: 
      !>[X0: $tType] : ( set(X0) > fun(fun(X0,$o),$o) ) ).

tff(func_def_1335,type,
    collect: 
      !>[X0: $tType] : fun(fun(X0,$o),set(X0)) ).

tff(func_def_1336,type,
    pow2: 
      !>[X0: $tType] : ( set(X0) > set(set(X0)) ) ).

tff(func_def_1337,type,
    disjnt: 
      !>[X0: $tType] : fun(set(X0),fun(set(X0),$o)) ).

tff(func_def_1338,type,
    filter3: 
      !>[X0: $tType] : ( ( fun(X0,$o) * set(X0) ) > set(X0) ) ).

tff(func_def_1339,type,
    image2: 
      !>[X0: $tType,X1: $tType] : ( fun(X0,X1) > fun(set(X0),set(X1)) ) ).

tff(func_def_1340,type,
    insert2: 
      !>[X0: $tType] : fun(X0,fun(set(X0),set(X0))) ).

tff(func_def_1341,type,
    remove: 
      !>[X0: $tType] : fun(X0,fun(set(X0),set(X0))) ).

tff(func_def_1342,type,
    the_elem: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_1343,type,
    vimage: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * set(X1) ) > set(X0) ) ).

tff(func_def_1344,type,
    set_fo6178422350223883121st_nat: 
      !>[X0: $tType] : ( ( fun(nat,fun(X0,X0)) * nat * nat * X0 ) > X0 ) ).

tff(func_def_1345,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_1346,type,
    set_ord_atLeast: 
      !>[X0: $tType] : ( X0 > set(X0) ) ).

tff(func_def_1347,type,
    set_or1337092689740270186AtMost: 
      !>[X0: $tType] : ( ( X0 * X0 ) > set(X0) ) ).

tff(func_def_1348,type,
    set_or7035219750837199246ssThan: 
      !>[X0: $tType] : ( ( X0 * X0 ) > set(X0) ) ).

tff(func_def_1349,type,
    set_ord_atMost: 
      !>[X0: $tType] : fun(X0,set(X0)) ).

tff(func_def_1350,type,
    set_ord_greaterThan: 
      !>[X0: $tType] : fun(X0,set(X0)) ).

tff(func_def_1351,type,
    set_or3652927894154168847AtMost: 
      !>[X0: $tType] : ( ( X0 * X0 ) > set(X0) ) ).

tff(func_def_1352,type,
    set_or5935395276787703475ssThan: 
      !>[X0: $tType] : ( ( X0 * X0 ) > set(X0) ) ).

tff(func_def_1353,type,
    set_ord_lessThan: 
      !>[X0: $tType] : fun(X0,set(X0)) ).

tff(func_def_1354,type,
    abort: 
      !>[X0: $tType] : ( ( literal * fun(product_unit,X0) ) > X0 ) ).

tff(func_def_1355,type,
    literal2: ( $o * $o * $o * $o * $o * $o * $o * literal ) > literal ).

tff(func_def_1356,type,
    ascii_of: char > char ).

tff(func_def_1357,type,
    char2: ( $o * $o * $o * $o * $o * $o * $o * $o ) > char ).

tff(func_def_1358,type,
    comm_s6883823935334413003f_char: 
      !>[X0: $tType] : fun(char,X0) ).

tff(func_def_1359,type,
    integer_of_char: char > code_integer ).

tff(func_def_1360,type,
    unique5772411509450598832har_of: 
      !>[X0: $tType] : fun(X0,char) ).

tff(func_def_1361,type,
    sum_Plus: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * set(X1) ) > set(sum_sum(X0,X1)) ) ).

tff(func_def_1362,type,
    topolo174197925503356063within: 
      !>[X0: $tType] : ( ( X0 * set(X0) ) > filter(X0) ) ).

tff(func_def_1363,type,
    topolo7230453075368039082e_nhds: 
      !>[X0: $tType] : ( X0 > filter(X0) ) ).

tff(func_def_1364,type,
    topolo7806501430040627800ormity: 
      !>[X0: $tType] : filter(product_prod(X0,X0)) ).

tff(func_def_1365,type,
    arccos: fun(real,real) ).

tff(func_def_1366,type,
    arcosh: 
      !>[X0: $tType] : fun(X0,X0) ).

tff(func_def_1367,type,
    arcsin: fun(real,real) ).

tff(func_def_1368,type,
    arctan: fun(real,real) ).

tff(func_def_1369,type,
    arsinh: 
      !>[X0: $tType] : fun(X0,X0) ).

tff(func_def_1370,type,
    artanh: 
      !>[X0: $tType] : fun(X0,X0) ).

tff(func_def_1371,type,
    cos: 
      !>[X0: $tType] : ( X0 > X0 ) ).

tff(func_def_1372,type,
    cos_coeff: nat > real ).

tff(func_def_1373,type,
    cosh: 
      !>[X0: $tType] : ( X0 > X0 ) ).

tff(func_def_1374,type,
    cot: 
      !>[X0: $tType] : fun(X0,X0) ).

tff(func_def_1375,type,
    diffs: 
      !>[X0: $tType] : ( fun(nat,X0) > fun(nat,X0) ) ).

tff(func_def_1376,type,
    exp: 
      !>[X0: $tType] : ( X0 > X0 ) ).

tff(func_def_1377,type,
    ln_ln: 
      !>[X0: $tType] : ( X0 > X0 ) ).

tff(func_def_1378,type,
    log: ( real * real ) > real ).

tff(func_def_1379,type,
    pi: real ).

tff(func_def_1380,type,
    powr: 
      !>[X0: $tType] : ( ( X0 * X0 ) > X0 ) ).

tff(func_def_1381,type,
    powr_real: ( real * real ) > real ).

tff(func_def_1382,type,
    sin: 
      !>[X0: $tType] : ( X0 > X0 ) ).

tff(func_def_1383,type,
    sin_coeff: nat > real ).

tff(func_def_1384,type,
    sinh: 
      !>[X0: $tType] : ( X0 > X0 ) ).

tff(func_def_1385,type,
    tan: 
      !>[X0: $tType] : fun(X0,X0) ).

tff(func_def_1386,type,
    tanh: 
      !>[X0: $tType] : ( X0 > X0 ) ).

tff(func_def_1387,type,
    transitive_ntrancl: 
      !>[X0: $tType] : ( ( nat * set(product_prod(X0,X0)) ) > set(product_prod(X0,X0)) ) ).

tff(func_def_1388,type,
    transitive_rtrancl: 
      !>[X0: $tType] : ( set(product_prod(X0,X0)) > set(product_prod(X0,X0)) ) ).

tff(func_def_1389,type,
    transitive_trancl: 
      !>[X0: $tType] : ( set(product_prod(X0,X0)) > set(product_prod(X0,X0)) ) ).

tff(func_def_1390,type,
    vEBT_Leaf: ( $o * $o ) > vEBT_VEBT ).

tff(func_def_1391,type,
    vEBT_Node: ( option(product_prod(nat,nat)) * nat * list(vEBT_VEBT) * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_1392,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_1393,type,
    vEBT_size_VEBT: fun(vEBT_VEBT,nat) ).

tff(func_def_1394,type,
    vEBT_V8194947554948674370ptions: vEBT_VEBT > fun(nat,$o) ).

tff(func_def_1395,type,
    vEBT_VEBT_elim_dead: ( vEBT_VEBT * extended_enat ) > vEBT_VEBT ).

tff(func_def_1396,type,
    vEBT_V312737461966249ad_rel: fun(product_prod(vEBT_VEBT,extended_enat),fun(product_prod(vEBT_VEBT,extended_enat),$o)) ).

tff(func_def_1397,type,
    vEBT_VEBT_high: ( nat * nat ) > nat ).

tff(func_def_1398,type,
    vEBT_VEBT_low: ( nat * nat ) > nat ).

tff(func_def_1399,type,
    vEBT_V4351362008482014158ma_rel: fun(product_prod(vEBT_VEBT,nat),fun(product_prod(vEBT_VEBT,nat),$o)) ).

tff(func_def_1400,type,
    vEBT_V5765760719290551771er_rel: fun(product_prod(vEBT_VEBT,nat),fun(product_prod(vEBT_VEBT,nat),$o)) ).

tff(func_def_1401,type,
    vEBT_VEBT_valid_rel: fun(product_prod(vEBT_VEBT,nat),fun(product_prod(vEBT_VEBT,nat),$o)) ).

tff(func_def_1402,type,
    vEBT_set_vebt: vEBT_VEBT > set(nat) ).

tff(func_def_1403,type,
    vEBT_vebt_buildup: nat > vEBT_VEBT ).

tff(func_def_1404,type,
    vEBT_v4011308405150292612up_rel: fun(nat,fun(nat,$o)) ).

tff(func_def_1405,type,
    vEBT_vebt_delete: ( vEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_1406,type,
    vEBT_vebt_delete_rel: fun(product_prod(vEBT_VEBT,nat),fun(product_prod(vEBT_VEBT,nat),$o)) ).

tff(func_def_1407,type,
    vEBT_VEBT_insert: ( vEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_1408,type,
    vEBT_VEBT_insert_rel: fun(product_prod(vEBT_VEBT,nat),fun(product_prod(vEBT_VEBT,nat),$o)) ).

tff(func_def_1409,type,
    vEBT_vebt_insert: ( vEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_1410,type,
    vEBT_vebt_insert_rel: fun(product_prod(vEBT_VEBT,nat),fun(product_prod(vEBT_VEBT,nat),$o)) ).

tff(func_def_1411,type,
    vEBT_VEBT_bit_concat: ( nat * nat * nat ) > nat ).

tff(func_def_1412,type,
    vEBT_V6963167321098673237ll_rel: fun(vEBT_VEBT,fun(vEBT_VEBT,$o)) ).

tff(func_def_1413,type,
    vEBT_VEBT_set_vebt: vEBT_VEBT > set(nat) ).

tff(func_def_1414,type,
    vEBT_vebt_member: vEBT_VEBT > fun(nat,$o) ).

tff(func_def_1415,type,
    vEBT_vebt_member_rel: fun(product_prod(vEBT_VEBT,nat),fun(product_prod(vEBT_VEBT,nat),$o)) ).

tff(func_def_1416,type,
    vEBT_VEBT_add: fun(option(nat),fun(option(nat),option(nat))) ).

tff(func_def_1417,type,
    vEBT_VEBT_mul: fun(option(nat),fun(option(nat),option(nat))) ).

tff(func_def_1418,type,
    vEBT_V2048590022279873568_shift: 
      !>[X0: $tType] : ( fun(X0,fun(X0,X0)) > fun(option(X0),fun(option(X0),option(X0))) ) ).

tff(func_def_1419,type,
    vEBT_VEBT_power: fun(option(nat),fun(option(nat),option(nat))) ).

tff(func_def_1420,type,
    vEBT_vebt_maxt: vEBT_VEBT > option(nat) ).

tff(func_def_1421,type,
    vEBT_vebt_maxt_rel: fun(vEBT_VEBT,fun(vEBT_VEBT,$o)) ).

tff(func_def_1422,type,
    vEBT_vebt_mint: vEBT_VEBT > option(nat) ).

tff(func_def_1423,type,
    vEBT_vebt_mint_rel: fun(vEBT_VEBT,fun(vEBT_VEBT,$o)) ).

tff(func_def_1424,type,
    vEBT_vebt_pred: ( vEBT_VEBT * nat ) > option(nat) ).

tff(func_def_1425,type,
    vEBT_vebt_pred_rel: fun(product_prod(vEBT_VEBT,nat),fun(product_prod(vEBT_VEBT,nat),$o)) ).

tff(func_def_1426,type,
    vEBT_vebt_succ: ( vEBT_VEBT * nat ) > option(nat) ).

tff(func_def_1427,type,
    vEBT_vebt_succ_rel: fun(product_prod(vEBT_VEBT,nat),fun(product_prod(vEBT_VEBT,nat),$o)) ).

tff(func_def_1428,type,
    finite_psubset: 
      !>[X0: $tType] : set(product_prod(set(X0),set(X0))) ).

tff(func_def_1429,type,
    less_than: set(product_prod(nat,nat)) ).

tff(func_def_1430,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_1431,type,
    max_ext: 
      !>[X0: $tType] : ( set(product_prod(X0,X0)) > set(product_prod(set(X0),set(X0))) ) ).

tff(func_def_1432,type,
    max_extp: 
      !>[X0: $tType] : ( fun(X0,fun(X0,$o)) > fun(set(X0),fun(set(X0),$o)) ) ).

tff(func_def_1433,type,
    measure: 
      !>[X0: $tType] : ( fun(X0,nat) > set(product_prod(X0,X0)) ) ).

tff(func_def_1434,type,
    min_ext: 
      !>[X0: $tType] : ( set(product_prod(X0,X0)) > set(product_prod(set(X0),set(X0))) ) ).

tff(func_def_1435,type,
    mlex_prod: 
      !>[X0: $tType] : ( ( fun(X0,nat) * set(product_prod(X0,X0)) ) > set(product_prod(X0,X0)) ) ).

tff(func_def_1436,type,
    pred_nat: set(product_prod(nat,nat)) ).

tff(func_def_1437,type,
    same_fst: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,$o) * fun(X0,set(product_prod(X1,X1))) ) > set(product_prod(product_prod(X0,X1),product_prod(X0,X1))) ) ).

tff(func_def_1438,type,
    chains: 
      !>[X0: $tType] : ( set(product_prod(X0,X0)) > set(set(X0)) ) ).

tff(func_def_1439,type,
    chains2: 
      !>[X0: $tType] : ( set(set(X0)) > set(set(set(X0))) ) ).

tff(func_def_1440,type,
    init_seg_of: 
      !>[X0: $tType] : set(product_prod(set(product_prod(X0,X0)),set(product_prod(X0,X0)))) ).

tff(func_def_1441,type,
    pred_chain: 
      !>[X0: $tType] : ( ( set(X0) * fun(X0,fun(X0,$o)) ) > fun(set(X0),$o) ) ).

tff(func_def_1442,type,
    aa: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * X0 ) > X1 ) ).

tff(func_def_1443,type,
    fAll: 
      !>[X0: $tType] : fun(fun(X0,$o),$o) ).

tff(func_def_1444,type,
    fNot: fun($o,$o) ).

tff(func_def_1445,type,
    fequal: 
      !>[X0: $tType] : fun(X0,fun(X0,$o)) ).

tff(func_def_1446,type,
    deg: nat ).

tff(func_def_1447,type,
    info: option(product_prod(nat,nat)) ).

tff(func_def_1448,type,
    m: nat ).

tff(func_def_1449,type,
    ma: nat ).

tff(func_def_1450,type,
    mi: nat ).

tff(func_def_1451,type,
    na: nat ).

tff(func_def_1452,type,
    sa: vEBT_VEBT ).

tff(func_def_1453,type,
    summary: vEBT_VEBT ).

tff(func_def_1454,type,
    summary2: vEBT_VEBT ).

tff(func_def_1455,type,
    treeList: list(vEBT_VEBT) ).

tff(func_def_1456,type,
    treeList2: list(vEBT_VEBT) ).

tff(func_def_1457,type,
    l0: nat ).

tff(func_def_1458,type,
    h1: nat ).

tff(func_def_1459,type,
    minlow2: option(nat) ).

tff(func_def_1460,type,
    pr3: option(nat) ).

tff(func_def_1461,type,
    l4: nat ).

tff(func_def_1462,type,
    h5: nat ).

tff(func_def_1463,type,
    minlow6: option(nat) ).

tff(func_def_1464,type,
    pr7: option(nat) ).

tff(func_def_1465,type,
    l8: nat ).

tff(func_def_1466,type,
    h9: nat ).

tff(func_def_1467,type,
    maxlow10: option(nat) ).

tff(func_def_1468,type,
    sc11: option(nat) ).

tff(func_def_1469,type,
    newnode12: vEBT_VEBT ).

tff(func_def_1470,type,
    newlist13: list(vEBT_VEBT) ).

tff(func_def_1471,type,
    sn14: vEBT_VEBT ).

tff(func_def_1472,type,
    maxs15: option(nat) ).

tff(func_def_1473,type,
    maxs16: option(nat) ).

tff(func_def_1474,type,
    sn17: vEBT_VEBT ).

tff(func_def_1475,type,
    maxs18: option(nat) ).

tff(func_def_1476,type,
    xn19: nat ).

tff(func_def_1477,type,
    minn20: nat ).

tff(func_def_1478,type,
    h21: nat ).

tff(func_def_1479,type,
    newnode22: vEBT_VEBT ).

tff(func_def_1480,type,
    newlist23: list(vEBT_VEBT) ).

tff(func_def_1481,type,
    sn24: vEBT_VEBT ).

tff(func_def_1482,type,
    maxs25: option(nat) ).

tff(func_def_1483,type,
    newnode26: vEBT_VEBT ).

tff(func_def_1484,type,
    newlist27: list(vEBT_VEBT) ).

tff(func_def_1485,type,
    sn28: vEBT_VEBT ).

tff(func_def_1486,type,
    maxs29: option(nat) ).

tff(func_def_1487,type,
    sn30: vEBT_VEBT ).

tff(func_def_1488,type,
    maxs31: option(nat) ).

tff(func_def_1489,type,
    maxs32: option(nat) ).

tff(func_def_1490,type,
    xn33: nat ).

tff(func_def_1491,type,
    h34: nat ).

tff(func_def_1492,type,
    newnode35: vEBT_VEBT ).

tff(func_def_1493,type,
    newlist36: list(vEBT_VEBT) ).

tff(func_def_1494,type,
    sn37: vEBT_VEBT ).

tff(func_def_1495,type,
    maxs38: option(nat) ).

tff(func_def_1496,type,
    l39: nat ).

tff(func_def_1497,type,
    h40: nat ).

tff(func_def_1498,type,
    maxlow41: option(nat) ).

tff(func_def_1499,type,
    sc42: option(nat) ).

tff(func_def_1500,type,
    m243: 
      !>[X0: $tType] : X0 ).

tff(func_def_1501,type,
    w44: 
      !>[X0: $tType] : X0 ).

tff(func_def_1502,type,
    pos45: nat ).

tff(func_def_1503,type,
    pos46: nat ).

tff(func_def_1504,type,
    pos47: nat ).

tff(func_def_1505,type,
    l48: nat ).

tff(func_def_1506,type,
    h49: nat ).

tff(func_def_1507,type,
    maxlow50: option(nat) ).

tff(func_def_1508,type,
    sc51: option(nat) ).

tff(func_def_1509,type,
    l52: nat ).

tff(func_def_1510,type,
    h53: nat ).

tff(func_def_1511,type,
    minlow54: option(nat) ).

tff(func_def_1512,type,
    pr55: option(nat) ).

tff(func_def_1513,type,
    xn56: nat ).

tff(func_def_1514,type,
    minn57: nat ).

tff(func_def_1515,type,
    h58: nat ).

tff(func_def_1516,type,
    newnode59: vEBT_VEBT ).

tff(func_def_1517,type,
    newlist60: list(vEBT_VEBT) ).

tff(func_def_1518,type,
    sn61: vEBT_VEBT ).

tff(func_def_1519,type,
    maxs62: option(nat) ).

tff(func_def_1520,type,
    h63: nat ).

tff(func_def_1521,type,
    pos64: nat ).

tff(func_def_1522,type,
    pos65: nat ).

tff(func_def_1523,type,
    xn66: nat ).

tff(func_def_1524,type,
    h67: nat ).

tff(func_def_1525,type,
    l68: nat ).

tff(func_def_1526,type,
    h69: nat ).

tff(func_def_1527,type,
    minlow70: option(nat) ).

tff(func_def_1528,type,
    pr71: option(nat) ).

tff(func_def_1529,type,
    l72: nat ).

tff(func_def_1530,type,
    h73: nat ).

tff(func_def_1531,type,
    maxlow74: option(nat) ).

tff(func_def_1532,type,
    sc75: option(nat) ).

tff(func_def_1533,type,
    xn76: nat ).

tff(func_def_1534,type,
    minn77: nat ).

tff(func_def_1535,type,
    h78: nat ).

tff(func_def_1536,type,
    newnode79: vEBT_VEBT ).

tff(func_def_1537,type,
    newlist80: list(vEBT_VEBT) ).

tff(func_def_1538,type,
    sn81: vEBT_VEBT ).

tff(func_def_1539,type,
    maxs82: option(nat) ).

tff(func_def_1540,type,
    pos83: nat ).

tff(func_def_1541,type,
    pos84: nat ).

tff(func_def_1542,type,
    pos85: nat ).

tff(func_def_1543,type,
    h86: nat ).

tff(func_def_1544,type,
    pos87: nat ).

tff(func_def_1545,type,
    pos88: nat ).

tff(func_def_1546,type,
    pos89: nat ).

tff(func_def_1547,type,
    pos90: nat ).

tff(func_def_1548,type,
    h91: nat ).

tff(func_def_1549,type,
    h92: nat ).

tff(func_def_1550,type,
    xn93: nat ).

tff(func_def_1551,type,
    h94: nat ).

tff(func_def_1552,type,
    l95: nat ).

tff(func_def_1553,type,
    h96: nat ).

tff(func_def_1554,type,
    maxlow97: option(nat) ).

tff(func_def_1555,type,
    sc98: option(nat) ).

tff(func_def_1556,type,
    l99: nat ).

tff(func_def_1557,type,
    h100: nat ).

tff(func_def_1558,type,
    minlow101: option(nat) ).

tff(func_def_1559,type,
    pr102: option(nat) ).

tff(func_def_1560,type,
    xn103: nat ).

tff(func_def_1561,type,
    minn104: nat ).

tff(func_def_1562,type,
    h105: nat ).

tff(func_def_1563,type,
    newnode106: vEBT_VEBT ).

tff(func_def_1564,type,
    newlist107: list(vEBT_VEBT) ).

tff(func_def_1565,type,
    sn108: vEBT_VEBT ).

tff(func_def_1566,type,
    maxs109: option(nat) ).

tff(func_def_1567,type,
    xn110: nat ).

tff(func_def_1568,type,
    h111: nat ).

tff(func_def_1569,type,
    h112: nat ).

tff(func_def_1570,type,
    h113: nat ).

tff(func_def_1571,type,
    pos114: nat ).

tff(func_def_1572,type,
    pos115: nat ).

tff(func_def_1573,type,
    pos116: nat ).

tff(func_def_1574,type,
    h117: nat ).

tff(func_def_1575,type,
    pos118: nat ).

tff(func_def_1576,type,
    pos119: nat ).

tff(func_def_1577,type,
    pos120: nat ).

tff(func_def_1578,type,
    pos121: nat ).

tff(func_def_1579,type,
    pos122: nat ).

tff(func_def_1580,type,
    pos123: nat ).

tff(func_def_1581,type,
    half124: nat ).

tff(func_def_1582,type,
    half125: nat ).

tff(func_def_1583,type,
    half126: nat ).

tff(func_def_1584,type,
    half127: nat ).

tff(func_def_1585,type,
    half128: nat ).

tff(func_def_1586,type,
    half129: nat ).

tff(func_def_1587,type,
    m2130: 
      !>[X0: $tType] : X0 ).

tff(func_def_1588,type,
    w131: 
      !>[X0: $tType] : X0 ).

tff(func_def_1589,type,
    l132: 
      !>[X0: $tType] : X0 ).

tff(func_def_1590,type,
    l133: 
      !>[X0: $tType] : X0 ).

tff(func_def_1591,type,
    l134: code_integer ).

tff(func_def_1592,type,
    pv135: nat ).

tff(func_def_1593,type,
    pv136: nat ).

tff(func_def_1594,type,
    k137: code_integer ).

tff(func_def_1595,type,
    a2138: 
      !>[X0: $tType] : set(set(X0)) ).

tff(func_def_1596,type,
    a3139: int ).

tff(func_def_1597,type,
    a3140: int ).

tff(func_def_1598,type,
    n141: nat ).

tff(func_def_1599,type,
    m2142: nat ).

tff(func_def_1600,type,
    n143: nat ).

tff(func_def_1601,type,
    m2144: nat ).

tff(func_def_1602,type,
    n145: nat ).

tff(func_def_1603,type,
    m2146: nat ).

tff(func_def_1604,type,
    n147: nat ).

tff(func_def_1605,type,
    m2148: nat ).

tff(func_def_1606,type,
    n149: nat ).

tff(func_def_1607,type,
    m2150: nat ).

tff(func_def_1608,type,
    n151: nat ).

tff(func_def_1609,type,
    m2152: nat ).

tff(func_def_1610,type,
    n153: nat ).

tff(func_def_1611,type,
    m2154: nat ).

tff(func_def_1612,type,
    m2155: 
      !>[X0: $tType] : X0 ).

tff(func_def_1613,type,
    k156: code_integer ).

tff(func_def_1614,type,
    l157: code_integer ).

tff(func_def_1615,type,
    m2158: 
      !>[X0: $tType] : X0 ).

tff(func_def_1616,type,
    m2159: 
      !>[X0: $tType] : X0 ).

tff(func_def_1617,type,
    l2160: int ).

tff(func_def_1618,type,
    m3161: a ).

tff(func_def_1619,type,
    l2162: num ).

tff(func_def_1620,type,
    l3163: num ).

tff(func_def_1621,type,
    l2164: nat ).

tff(func_def_1622,type,
    l3165: nat ).

tff(func_def_1625,type,
    sK166: product_prod(nat,nat) > nat ).

tff(func_def_1626,type,
    sK167: product_prod(nat,nat) > nat ).

tff(func_def_1627,type,
    sK168: 
      !>[X0: $tType,X1: $tType] : ( product_prod(X0,X1) > X0 ) ).

tff(func_def_1628,type,
    sK169: 
      !>[X0: $tType,X1: $tType] : ( product_prod(X0,X1) > X1 ) ).

tff(func_def_1629,type,
    sK170: ( set(nat) * nat ) > nat ).

tff(func_def_1630,type,
    sK171: ( set(nat) * nat ) > nat ).

tff(func_def_1631,type,
    sK172: 
      !>[X0: $tType,X1: $tType,X2: $tType,X3: $tType,X4: $tType,X5: $tType,X6: $tType] : ( fun(product_prod(X6,product_prod(X5,product_prod(X4,product_prod(X3,product_prod(X2,product_prod(X1,X0)))))),$o) > X6 ) ).

tff(func_def_1632,type,
    sK173: 
      !>[X0: $tType,X1: $tType,X2: $tType,X3: $tType,X4: $tType,X5: $tType,X6: $tType] : ( fun(product_prod(X6,product_prod(X5,product_prod(X4,product_prod(X3,product_prod(X2,product_prod(X1,X0)))))),$o) > X5 ) ).

tff(func_def_1633,type,
    sK174: 
      !>[X0: $tType,X1: $tType,X2: $tType,X3: $tType,X4: $tType,X5: $tType,X6: $tType] : ( fun(product_prod(X6,product_prod(X5,product_prod(X4,product_prod(X3,product_prod(X2,product_prod(X1,X0)))))),$o) > X4 ) ).

tff(func_def_1634,type,
    sK175: 
      !>[X0: $tType,X1: $tType,X2: $tType,X3: $tType,X4: $tType,X5: $tType,X6: $tType] : ( fun(product_prod(X6,product_prod(X5,product_prod(X4,product_prod(X3,product_prod(X2,product_prod(X1,X0)))))),$o) > X3 ) ).

tff(func_def_1635,type,
    sK176: 
      !>[X0: $tType,X1: $tType,X2: $tType,X3: $tType,X4: $tType,X5: $tType,X6: $tType] : ( fun(product_prod(X6,product_prod(X5,product_prod(X4,product_prod(X3,product_prod(X2,product_prod(X1,X0)))))),$o) > X2 ) ).

tff(func_def_1636,type,
    sK177: 
      !>[X0: $tType,X1: $tType,X2: $tType,X3: $tType,X4: $tType,X5: $tType,X6: $tType] : ( fun(product_prod(X6,product_prod(X5,product_prod(X4,product_prod(X3,product_prod(X2,product_prod(X1,X0)))))),$o) > X1 ) ).

tff(func_def_1637,type,
    sK178: 
      !>[X0: $tType,X1: $tType,X2: $tType,X3: $tType,X4: $tType,X5: $tType,X6: $tType] : ( fun(product_prod(X6,product_prod(X5,product_prod(X4,product_prod(X3,product_prod(X2,product_prod(X1,X0)))))),$o) > X0 ) ).

tff(func_def_1638,type,
    sK179: 
      !>[X0: $tType,X1: $tType,X2: $tType,X3: $tType,X4: $tType,X5: $tType] : ( fun(product_prod(X5,product_prod(X4,product_prod(X3,product_prod(X2,product_prod(X1,X0))))),$o) > X5 ) ).

tff(func_def_1639,type,
    sK180: 
      !>[X0: $tType,X1: $tType,X2: $tType,X3: $tType,X4: $tType,X5: $tType] : ( fun(product_prod(X5,product_prod(X4,product_prod(X3,product_prod(X2,product_prod(X1,X0))))),$o) > X4 ) ).

tff(func_def_1640,type,
    sK181: 
      !>[X0: $tType,X1: $tType,X2: $tType,X3: $tType,X4: $tType,X5: $tType] : ( fun(product_prod(X5,product_prod(X4,product_prod(X3,product_prod(X2,product_prod(X1,X0))))),$o) > X3 ) ).

tff(func_def_1641,type,
    sK182: 
      !>[X0: $tType,X1: $tType,X2: $tType,X3: $tType,X4: $tType,X5: $tType] : ( fun(product_prod(X5,product_prod(X4,product_prod(X3,product_prod(X2,product_prod(X1,X0))))),$o) > X2 ) ).

tff(func_def_1642,type,
    sK183: 
      !>[X0: $tType,X1: $tType,X2: $tType,X3: $tType,X4: $tType,X5: $tType] : ( fun(product_prod(X5,product_prod(X4,product_prod(X3,product_prod(X2,product_prod(X1,X0))))),$o) > X1 ) ).

tff(func_def_1643,type,
    sK184: 
      !>[X0: $tType,X1: $tType,X2: $tType,X3: $tType,X4: $tType,X5: $tType] : ( fun(product_prod(X5,product_prod(X4,product_prod(X3,product_prod(X2,product_prod(X1,X0))))),$o) > X0 ) ).

tff(func_def_1644,type,
    sK185: 
      !>[X0: $tType,X1: $tType,X2: $tType,X3: $tType,X4: $tType] : ( fun(product_prod(X4,product_prod(X3,product_prod(X2,product_prod(X1,X0)))),$o) > X4 ) ).

tff(func_def_1645,type,
    sK186: 
      !>[X0: $tType,X1: $tType,X2: $tType,X3: $tType,X4: $tType] : ( fun(product_prod(X4,product_prod(X3,product_prod(X2,product_prod(X1,X0)))),$o) > X3 ) ).

tff(func_def_1646,type,
    sK187: 
      !>[X0: $tType,X1: $tType,X2: $tType,X3: $tType,X4: $tType] : ( fun(product_prod(X4,product_prod(X3,product_prod(X2,product_prod(X1,X0)))),$o) > X2 ) ).

tff(func_def_1647,type,
    sK188: 
      !>[X0: $tType,X1: $tType,X2: $tType,X3: $tType,X4: $tType] : ( fun(product_prod(X4,product_prod(X3,product_prod(X2,product_prod(X1,X0)))),$o) > X1 ) ).

tff(func_def_1648,type,
    sK189: 
      !>[X0: $tType,X1: $tType,X2: $tType,X3: $tType,X4: $tType] : ( fun(product_prod(X4,product_prod(X3,product_prod(X2,product_prod(X1,X0)))),$o) > X0 ) ).

tff(func_def_1649,type,
    sK190: 
      !>[X0: $tType,X1: $tType,X2: $tType,X3: $tType] : ( fun(product_prod(X3,product_prod(X2,product_prod(X1,X0))),$o) > X3 ) ).

tff(func_def_1650,type,
    sK191: 
      !>[X0: $tType,X1: $tType,X2: $tType,X3: $tType] : ( fun(product_prod(X3,product_prod(X2,product_prod(X1,X0))),$o) > X2 ) ).

tff(func_def_1651,type,
    sK192: 
      !>[X0: $tType,X1: $tType,X2: $tType,X3: $tType] : ( fun(product_prod(X3,product_prod(X2,product_prod(X1,X0))),$o) > X1 ) ).

tff(func_def_1652,type,
    sK193: 
      !>[X0: $tType,X1: $tType,X2: $tType,X3: $tType] : ( fun(product_prod(X3,product_prod(X2,product_prod(X1,X0))),$o) > X0 ) ).

tff(func_def_1653,type,
    sK194: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( fun(product_prod(X2,product_prod(X1,X0)),$o) > X2 ) ).

tff(func_def_1654,type,
    sK195: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( fun(product_prod(X2,product_prod(X1,X0)),$o) > X1 ) ).

tff(func_def_1655,type,
    sK196: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( fun(product_prod(X2,product_prod(X1,X0)),$o) > X0 ) ).

tff(func_def_1656,type,
    sK197: 
      !>[X0: $tType,X1: $tType,X2: $tType,X3: $tType,X4: $tType,X5: $tType,X6: $tType] : ( product_prod(X0,product_prod(X1,product_prod(X2,product_prod(X3,product_prod(X4,product_prod(X5,X6)))))) > X0 ) ).

tff(func_def_1657,type,
    sK198: 
      !>[X0: $tType,X1: $tType,X2: $tType,X3: $tType,X4: $tType,X5: $tType,X6: $tType] : ( product_prod(X0,product_prod(X1,product_prod(X2,product_prod(X3,product_prod(X4,product_prod(X5,X6)))))) > X1 ) ).

tff(func_def_1658,type,
    sK199: 
      !>[X0: $tType,X1: $tType,X2: $tType,X3: $tType,X4: $tType,X5: $tType,X6: $tType] : ( product_prod(X0,product_prod(X1,product_prod(X2,product_prod(X3,product_prod(X4,product_prod(X5,X6)))))) > X2 ) ).

tff(func_def_1659,type,
    sK200: 
      !>[X0: $tType,X1: $tType,X2: $tType,X3: $tType,X4: $tType,X5: $tType,X6: $tType] : ( product_prod(X0,product_prod(X1,product_prod(X2,product_prod(X3,product_prod(X4,product_prod(X5,X6)))))) > X3 ) ).

tff(func_def_1660,type,
    sK201: 
      !>[X0: $tType,X1: $tType,X2: $tType,X3: $tType,X4: $tType,X5: $tType,X6: $tType] : ( product_prod(X0,product_prod(X1,product_prod(X2,product_prod(X3,product_prod(X4,product_prod(X5,X6)))))) > X4 ) ).

tff(func_def_1661,type,
    sK202: 
      !>[X0: $tType,X1: $tType,X2: $tType,X3: $tType,X4: $tType,X5: $tType,X6: $tType] : ( product_prod(X0,product_prod(X1,product_prod(X2,product_prod(X3,product_prod(X4,product_prod(X5,X6)))))) > X5 ) ).

tff(func_def_1662,type,
    sK203: 
      !>[X0: $tType,X1: $tType,X2: $tType,X3: $tType,X4: $tType,X5: $tType,X6: $tType] : ( product_prod(X0,product_prod(X1,product_prod(X2,product_prod(X3,product_prod(X4,product_prod(X5,X6)))))) > X6 ) ).

tff(func_def_1663,type,
    sK204: 
      !>[X0: $tType,X1: $tType,X2: $tType,X3: $tType,X4: $tType,X5: $tType] : ( product_prod(X0,product_prod(X1,product_prod(X2,product_prod(X3,product_prod(X4,X5))))) > X0 ) ).

tff(func_def_1664,type,
    sK205: 
      !>[X0: $tType,X1: $tType,X2: $tType,X3: $tType,X4: $tType,X5: $tType] : ( product_prod(X0,product_prod(X1,product_prod(X2,product_prod(X3,product_prod(X4,X5))))) > X1 ) ).

tff(func_def_1665,type,
    sK206: 
      !>[X0: $tType,X1: $tType,X2: $tType,X3: $tType,X4: $tType,X5: $tType] : ( product_prod(X0,product_prod(X1,product_prod(X2,product_prod(X3,product_prod(X4,X5))))) > X2 ) ).

tff(func_def_1666,type,
    sK207: 
      !>[X0: $tType,X1: $tType,X2: $tType,X3: $tType,X4: $tType,X5: $tType] : ( product_prod(X0,product_prod(X1,product_prod(X2,product_prod(X3,product_prod(X4,X5))))) > X3 ) ).

tff(func_def_1667,type,
    sK208: 
      !>[X0: $tType,X1: $tType,X2: $tType,X3: $tType,X4: $tType,X5: $tType] : ( product_prod(X0,product_prod(X1,product_prod(X2,product_prod(X3,product_prod(X4,X5))))) > X4 ) ).

tff(func_def_1668,type,
    sK209: 
      !>[X0: $tType,X1: $tType,X2: $tType,X3: $tType,X4: $tType,X5: $tType] : ( product_prod(X0,product_prod(X1,product_prod(X2,product_prod(X3,product_prod(X4,X5))))) > X5 ) ).

tff(func_def_1669,type,
    sK210: 
      !>[X0: $tType,X1: $tType,X2: $tType,X3: $tType,X4: $tType] : ( product_prod(X0,product_prod(X1,product_prod(X2,product_prod(X3,X4)))) > X0 ) ).

tff(func_def_1670,type,
    sK211: 
      !>[X0: $tType,X1: $tType,X2: $tType,X3: $tType,X4: $tType] : ( product_prod(X0,product_prod(X1,product_prod(X2,product_prod(X3,X4)))) > X1 ) ).

tff(func_def_1671,type,
    sK212: 
      !>[X0: $tType,X1: $tType,X2: $tType,X3: $tType,X4: $tType] : ( product_prod(X0,product_prod(X1,product_prod(X2,product_prod(X3,X4)))) > X2 ) ).

tff(func_def_1672,type,
    sK213: 
      !>[X0: $tType,X1: $tType,X2: $tType,X3: $tType,X4: $tType] : ( product_prod(X0,product_prod(X1,product_prod(X2,product_prod(X3,X4)))) > X3 ) ).

tff(func_def_1673,type,
    sK214: 
      !>[X0: $tType,X1: $tType,X2: $tType,X3: $tType,X4: $tType] : ( product_prod(X0,product_prod(X1,product_prod(X2,product_prod(X3,X4)))) > X4 ) ).

tff(func_def_1674,type,
    sK215: 
      !>[X0: $tType,X1: $tType,X2: $tType,X3: $tType] : ( product_prod(X0,product_prod(X1,product_prod(X2,X3))) > X0 ) ).

tff(func_def_1675,type,
    sK216: 
      !>[X0: $tType,X1: $tType,X2: $tType,X3: $tType] : ( product_prod(X0,product_prod(X1,product_prod(X2,X3))) > X1 ) ).

tff(func_def_1676,type,
    sK217: 
      !>[X0: $tType,X1: $tType,X2: $tType,X3: $tType] : ( product_prod(X0,product_prod(X1,product_prod(X2,X3))) > X2 ) ).

tff(func_def_1677,type,
    sK218: 
      !>[X0: $tType,X1: $tType,X2: $tType,X3: $tType] : ( product_prod(X0,product_prod(X1,product_prod(X2,X3))) > X3 ) ).

tff(func_def_1678,type,
    sK219: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( product_prod(X0,product_prod(X1,X2)) > X0 ) ).

tff(func_def_1679,type,
    sK220: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( product_prod(X0,product_prod(X1,X2)) > X1 ) ).

tff(func_def_1680,type,
    sK221: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( product_prod(X0,product_prod(X1,X2)) > X2 ) ).

tff(func_def_1681,type,
    sK222: 
      !>[X0: $tType,X1: $tType] : ( fun(product_prod(X1,X0),$o) > X1 ) ).

tff(func_def_1682,type,
    sK223: 
      !>[X0: $tType,X1: $tType] : ( fun(product_prod(X1,X0),$o) > X0 ) ).

tff(func_def_1683,type,
    sK224: 
      !>[X0: $tType,X1: $tType] : ( product_prod(X0,X1) > X0 ) ).

tff(func_def_1684,type,
    sK225: 
      !>[X0: $tType,X1: $tType] : ( product_prod(X0,X1) > X1 ) ).

tff(func_def_1685,type,
    sK226: 
      !>[X0: $tType] : ( ( fun(X0,$o) * fun(X0,$o) ) > X0 ) ).

tff(func_def_1686,type,
    sK227: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * fun(X1,X0) ) > X1 ) ).

tff(func_def_1687,type,
    sK228: 
      !>[X0: $tType] : ( fun(X0,$o) > X0 ) ).

tff(func_def_1688,type,
    sK229: 
      !>[X0: $tType] : ( fun(X0,$o) > X0 ) ).

tff(func_def_1689,type,
    sK230: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_1690,type,
    sK231: 
      !>[X0: $tType] : ( ( set(X0) * set(X0) ) > X0 ) ).

tff(func_def_1691,type,
    sK232: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_1692,type,
    sK233: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_1693,type,
    sK234: 
      !>[X0: $tType] : ( ( fun(X0,$o) * fun(X0,$o) ) > X0 ) ).

tff(func_def_1694,type,
    sK235: 
      !>[X0: $tType] : ( ( fun(X0,$o) * fun(X0,$o) ) > X0 ) ).

tff(func_def_1695,type,
    sK236: 
      !>[X0: $tType] : ( ( set(X0) * set(X0) ) > X0 ) ).

tff(func_def_1696,type,
    sK237: 
      !>[X0: $tType] : ( ( set(X0) * set(X0) ) > X0 ) ).

tff(func_def_1697,type,
    sK238: 
      !>[X0: $tType] : ( ( X0 * set(X0) ) > set(X0) ) ).

tff(func_def_1698,type,
    sK239: 
      !>[X0: $tType] : ( ( X0 * set(X0) * X0 * set(X0) ) > set(X0) ) ).

tff(func_def_1699,type,
    sK240: 
      !>[X0: $tType] : ( ( X0 * set(X0) ) > set(X0) ) ).

tff(func_def_1700,type,
    sK241: nat > nat ).

tff(func_def_1701,type,
    sK242: nat > nat ).

tff(func_def_1702,type,
    sK243: ( vEBT_VEBT * nat ) > option(product_prod(nat,nat)) ).

tff(func_def_1703,type,
    sK244: ( vEBT_VEBT * nat ) > list(vEBT_VEBT) ).

tff(func_def_1704,type,
    sK245: ( vEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_1705,type,
    sK248: 
      !>[X0: $tType] : ( fun(X0,fun(X0,$o)) > X0 ) ).

tff(func_def_1706,type,
    sK249: 
      !>[X0: $tType] : ( fun(X0,fun(X0,$o)) > X0 ) ).

tff(func_def_1707,type,
    sK250: 
      !>[X0: $tType] : ( fun(X0,fun(X0,$o)) > X0 ) ).

tff(func_def_1708,type,
    sK251: 
      !>[X0: $tType] : ( fun(X0,fun(X0,$o)) > X0 ) ).

tff(func_def_1709,type,
    sK252: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * fun(X1,X0) ) > X1 ) ).

tff(func_def_1710,type,
    sK253: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * fun(X1,X0) ) > X1 ) ).

tff(func_def_1711,type,
    sK254: 
      !>[X0: $tType,X1: $tType] : ( fun(X1,X0) > X1 ) ).

tff(func_def_1712,type,
    sK255: 
      !>[X0: $tType,X1: $tType] : ( fun(X1,X0) > X1 ) ).

tff(func_def_1713,type,
    sK256: 
      !>[X0: $tType,X1: $tType] : ( fun(X0,X1) > X0 ) ).

tff(func_def_1714,type,
    sK257: 
      !>[X0: $tType,X1: $tType] : ( fun(X0,X1) > X0 ) ).

tff(func_def_1715,type,
    sK258: 
      !>[X0: $tType,X1: $tType] : ( fun(X1,X0) > X1 ) ).

tff(func_def_1716,type,
    sK259: 
      !>[X0: $tType,X1: $tType] : ( fun(X1,X0) > X1 ) ).

tff(func_def_1717,type,
    sK260: 
      !>[X0: $tType,X1: $tType] : ( fun(X0,X1) > X0 ) ).

tff(func_def_1718,type,
    sK261: 
      !>[X0: $tType,X1: $tType] : ( fun(X0,X1) > X0 ) ).

tff(func_def_1719,type,
    sK262: 
      !>[X0: $tType] : ( option(X0) > X0 ) ).

tff(func_def_1720,type,
    sK263: 
      !>[X0: $tType] : ( option(X0) > X0 ) ).

tff(func_def_1721,type,
    sK264: 
      !>[X0: $tType] : ( product_prod(fun(X0,fun(X0,$o)),product_prod(option(X0),option(X0))) > fun(X0,fun(X0,$o)) ) ).

tff(func_def_1722,type,
    sK265: 
      !>[X0: $tType] : ( product_prod(fun(X0,fun(X0,$o)),product_prod(option(X0),option(X0))) > option(X0) ) ).

tff(func_def_1723,type,
    sK266: 
      !>[X0: $tType] : ( product_prod(fun(X0,fun(X0,$o)),product_prod(option(X0),option(X0))) > fun(X0,fun(X0,$o)) ) ).

tff(func_def_1724,type,
    sK267: 
      !>[X0: $tType] : ( product_prod(fun(X0,fun(X0,$o)),product_prod(option(X0),option(X0))) > X0 ) ).

tff(func_def_1725,type,
    sK268: 
      !>[X0: $tType] : ( product_prod(fun(X0,fun(X0,$o)),product_prod(option(X0),option(X0))) > fun(X0,fun(X0,$o)) ) ).

tff(func_def_1726,type,
    sK269: 
      !>[X0: $tType] : ( product_prod(fun(X0,fun(X0,$o)),product_prod(option(X0),option(X0))) > X0 ) ).

tff(func_def_1727,type,
    sK270: 
      !>[X0: $tType] : ( product_prod(fun(X0,fun(X0,$o)),product_prod(option(X0),option(X0))) > X0 ) ).

tff(func_def_1728,type,
    sK271: 
      !>[X0: $tType] : ( product_prod(fun(X0,fun(X0,X0)),product_prod(option(X0),option(X0))) > fun(X0,fun(X0,X0)) ) ).

tff(func_def_1729,type,
    sK272: 
      !>[X0: $tType] : ( product_prod(fun(X0,fun(X0,X0)),product_prod(option(X0),option(X0))) > option(X0) ) ).

tff(func_def_1730,type,
    sK273: 
      !>[X0: $tType] : ( product_prod(fun(X0,fun(X0,X0)),product_prod(option(X0),option(X0))) > fun(X0,fun(X0,X0)) ) ).

tff(func_def_1731,type,
    sK274: 
      !>[X0: $tType] : ( product_prod(fun(X0,fun(X0,X0)),product_prod(option(X0),option(X0))) > X0 ) ).

tff(func_def_1732,type,
    sK275: 
      !>[X0: $tType] : ( product_prod(fun(X0,fun(X0,X0)),product_prod(option(X0),option(X0))) > fun(X0,fun(X0,X0)) ) ).

tff(func_def_1733,type,
    sK276: 
      !>[X0: $tType] : ( product_prod(fun(X0,fun(X0,X0)),product_prod(option(X0),option(X0))) > X0 ) ).

tff(func_def_1734,type,
    sK277: 
      !>[X0: $tType] : ( product_prod(fun(X0,fun(X0,X0)),product_prod(option(X0),option(X0))) > X0 ) ).

tff(func_def_1735,type,
    sK278: 
      !>[X0: $tType] : ( option(X0) > X0 ) ).

tff(func_def_1736,type,
    sK279: 
      !>[X0: $tType] : ( fun(option(X0),$o) > option(X0) ) ).

tff(func_def_1737,type,
    sK280: 
      !>[X0: $tType] : ( fun(option(X0),$o) > X0 ) ).

tff(func_def_1738,type,
    sK281: 
      !>[X0: $tType] : ( fun(option(X0),$o) > option(X0) ) ).

tff(func_def_1739,type,
    sK282: 
      !>[X0: $tType] : ( fun(option(X0),$o) > X0 ) ).

tff(func_def_1740,type,
    sK283: 
      !>[X0: $tType,X1: $tType] : ( ( option(X0) * fun(option(X0),fun(option(X1),$o)) * option(X1) ) > X0 ) ).

tff(func_def_1741,type,
    sK284: 
      !>[X0: $tType,X1: $tType] : ( ( option(X0) * fun(option(X0),fun(option(X1),$o)) * option(X1) ) > X1 ) ).

tff(func_def_1742,type,
    sK285: ( fun(nat,$o) * nat ) > nat ).

tff(func_def_1743,type,
    sK286: fun(nat,$o) > nat ).

tff(func_def_1744,type,
    sK287: 
      !>[X0: $tType] : ( ( X0 * X0 ) > X0 ) ).

tff(func_def_1745,type,
    sK288: 
      !>[X0: $tType] : ( ( X0 * X0 ) > X0 ) ).

tff(func_def_1746,type,
    sK289: fun(nat,fun(nat,$o)) > nat ).

tff(func_def_1747,type,
    sK290: fun(nat,fun(nat,$o)) > nat ).

tff(func_def_1748,type,
    sK291: fun(nat,fun(nat,$o)) > nat ).

tff(func_def_1749,type,
    sK292: fun(nat,fun(nat,$o)) > nat ).

tff(func_def_1750,type,
    sK293: fun(nat,fun(nat,$o)) > nat ).

tff(func_def_1751,type,
    sK294: ( nat * fun(nat,$o) ) > nat ).

tff(func_def_1752,type,
    sK295: fun(nat,$o) > nat ).

tff(func_def_1753,type,
    sK296: nat > nat ).

tff(func_def_1754,type,
    sK297: ( nat * nat ) > nat ).

tff(func_def_1755,type,
    sK298: ( nat * nat ) > nat ).

tff(func_def_1756,type,
    sK299: 
      !>[X0: $tType] : ( fun(nat,X0) > nat ) ).

tff(func_def_1757,type,
    sK300: 
      !>[X0: $tType] : ( fun(nat,X0) > nat ) ).

tff(func_def_1758,type,
    sK301: vEBT_VEBT > nat ).

tff(func_def_1759,type,
    sK302: list(vEBT_VEBT) ).

tff(func_def_1760,type,
    sK303: vEBT_VEBT ).

tff(func_def_1761,type,
    sK304: option(product_prod(nat,nat)) ).

tff(func_def_1762,type,
    sK305: ( list(vEBT_VEBT) * nat ) > vEBT_VEBT ).

tff(func_def_1763,type,
    sK306: vEBT_VEBT > nat ).

tff(func_def_1764,type,
    sK307: list(vEBT_VEBT) > vEBT_VEBT ).

tff(func_def_1765,type,
    sK308: list(vEBT_VEBT) > nat ).

tff(func_def_1766,type,
    sK309: ( list(vEBT_VEBT) * nat ) > vEBT_VEBT ).

tff(func_def_1767,type,
    sK310: vEBT_VEBT > nat ).

tff(func_def_1768,type,
    sK311: list(vEBT_VEBT) > vEBT_VEBT ).

tff(func_def_1769,type,
    sK312: list(vEBT_VEBT) > nat ).

tff(func_def_1770,type,
    sK313: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_1771,type,
    sK314: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_1772,type,
    sK315: 
      !>[X0: $tType,X1: $tType] : ( ( set(product_prod(X1,X0)) * set(product_prod(X1,X0)) ) > X1 ) ).

tff(func_def_1773,type,
    sK316: 
      !>[X0: $tType,X1: $tType] : ( ( set(product_prod(X1,X0)) * set(product_prod(X1,X0)) ) > X0 ) ).

tff(func_def_1774,type,
    sK317: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_1775,type,
    sK318: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_1776,type,
    sK319: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,X0)) * option(X0) * option(X0) * option(X0) ) > X0 ) ).

tff(func_def_1777,type,
    sK320: 
      !>[X0: $tType] : ( option(X0) > X0 ) ).

tff(func_def_1778,type,
    sK321: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,X0)) * option(X0) * option(X0) * option(X0) ) > X0 ) ).

tff(func_def_1779,type,
    sK322: ( list(vEBT_VEBT) * nat ) > vEBT_VEBT ).

tff(func_def_1780,type,
    sK323: ( vEBT_VEBT * nat * nat ) > nat ).

tff(func_def_1781,type,
    sK324: ( vEBT_VEBT * nat * nat ) > nat ).

tff(func_def_1782,type,
    sK325: nat > nat ).

tff(func_def_1783,type,
    sK326: 
      !>[X0: $tType] : ( X0 > X0 ) ).

tff(func_def_1784,type,
    sK327: 
      !>[X0: $tType] : ( X0 > X0 ) ).

tff(func_def_1785,type,
    sK328: 
      !>[X0: $tType] : ( ( X0 * X0 ) > X0 ) ).

tff(func_def_1786,type,
    sK329: 
      !>[X0: $tType] : ( fun(X0,$o) > X0 ) ).

tff(func_def_1787,type,
    sK330: 
      !>[X0: $tType] : ( fun(X0,$o) > X0 ) ).

tff(func_def_1788,type,
    sK331: 
      !>[X0: $tType] : ( fun(X0,$o) > X0 ) ).

tff(func_def_1789,type,
    sK332: 
      !>[X0: $tType] : ( ( fun(X0,$o) * X0 ) > X0 ) ).

tff(func_def_1790,type,
    sK333: 
      !>[X0: $tType] : ( fun(X0,fun(X0,$o)) > X0 ) ).

tff(func_def_1791,type,
    sK334: 
      !>[X0: $tType] : ( fun(X0,fun(X0,$o)) > X0 ) ).

tff(func_def_1792,type,
    sK335: 
      !>[X0: $tType] : ( fun(X0,fun(X0,$o)) > X0 ) ).

tff(func_def_1793,type,
    sK336: 
      !>[X0: $tType] : ( fun(X0,fun(X0,$o)) > X0 ) ).

tff(func_def_1794,type,
    sK337: 
      !>[X0: $tType] : ( fun(X0,fun(X0,$o)) > X0 ) ).

tff(func_def_1795,type,
    sK338: 
      !>[X0: $tType,X1: $tType] : ( fun(X1,X0) > X1 ) ).

tff(func_def_1796,type,
    sK339: 
      !>[X0: $tType,X1: $tType] : ( fun(X1,X0) > X1 ) ).

tff(func_def_1797,type,
    sK340: 
      !>[X0: $tType,X1: $tType] : ( fun(X0,X1) > X0 ) ).

tff(func_def_1798,type,
    sK341: 
      !>[X0: $tType,X1: $tType] : ( fun(X0,X1) > X0 ) ).

tff(func_def_1799,type,
    sK342: 
      !>[X0: $tType,X1: $tType] : ( fun(X1,X0) > X1 ) ).

tff(func_def_1800,type,
    sK343: 
      !>[X0: $tType,X1: $tType] : ( fun(X1,X0) > X1 ) ).

tff(func_def_1801,type,
    sK344: 
      !>[X0: $tType,X1: $tType] : ( fun(X0,X1) > X0 ) ).

tff(func_def_1802,type,
    sK345: 
      !>[X0: $tType,X1: $tType] : ( fun(X0,X1) > X0 ) ).

tff(func_def_1803,type,
    sK346: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * fun(X1,$o) ) > X1 ) ).

tff(func_def_1804,type,
    sK347: fun(nat,$o) > nat ).

tff(func_def_1805,type,
    sK348: fun(nat,$o) > nat ).

tff(func_def_1806,type,
    sK349: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * fun(X1,$o) ) > X1 ) ).

tff(func_def_1807,type,
    sK350: 
      !>[X0: $tType] : ( ( fun(X0,$o) * fun(X0,nat) ) > X0 ) ).

tff(func_def_1808,type,
    sK351: 
      !>[X0: $tType] : ( fun(nat,X0) > nat ) ).

tff(func_def_1809,type,
    sK352: 
      !>[X0: $tType] : ( fun(nat,X0) > nat ) ).

tff(func_def_1810,type,
    sK353: 
      !>[X0: $tType,X1: $tType] : ( fun(X0,X1) > X0 ) ).

tff(func_def_1811,type,
    sK354: 
      !>[X0: $tType,X1: $tType] : ( fun(X0,X1) > X0 ) ).

tff(func_def_1812,type,
    sK355: 
      !>[X0: $tType,X1: $tType] : ( fun(X1,X0) > X1 ) ).

tff(func_def_1813,type,
    sK356: 
      !>[X0: $tType,X1: $tType] : ( fun(X1,X0) > X1 ) ).

tff(func_def_1814,type,
    sK357: 
      !>[X0: $tType,X1: $tType] : ( fun(X0,X1) > X0 ) ).

tff(func_def_1815,type,
    sK358: 
      !>[X0: $tType,X1: $tType] : ( fun(X0,X1) > X0 ) ).

tff(func_def_1816,type,
    sK359: 
      !>[X0: $tType,X1: $tType] : ( fun(X1,X0) > X1 ) ).

tff(func_def_1817,type,
    sK360: 
      !>[X0: $tType,X1: $tType] : ( fun(X1,X0) > X1 ) ).

tff(func_def_1818,type,
    sK361: 
      !>[X0: $tType] : ( ( X0 * X0 * X0 ) > X0 ) ).

tff(func_def_1819,type,
    sK362: 
      !>[X0: $tType] : ( ( X0 * X0 * X0 ) > X0 ) ).

tff(func_def_1820,type,
    sK363: 
      !>[X0: $tType] : ( ( X0 * X0 ) > X0 ) ).

tff(func_def_1821,type,
    sK364: 
      !>[X0: $tType] : ( ( X0 * X0 ) > X0 ) ).

tff(func_def_1822,type,
    sK365: ( nat * fun(nat,$o) ) > nat ).

tff(func_def_1823,type,
    sK366: ( nat * fun(nat,$o) ) > nat ).

tff(func_def_1824,type,
    sK367: fun(nat,fun(nat,$o)) > nat ).

tff(func_def_1825,type,
    sK368: fun(nat,fun(nat,$o)) > nat ).

tff(func_def_1826,type,
    sK369: fun(nat,fun(nat,$o)) > nat ).

tff(func_def_1827,type,
    sK370: fun(nat,fun(nat,$o)) > nat ).

tff(func_def_1828,type,
    sK371: ( nat * nat ) > nat ).

tff(func_def_1829,type,
    sK372: ( nat * fun(nat,$o) ) > nat ).

tff(func_def_1830,type,
    sK373: ( nat * fun(nat,$o) ) > nat ).

tff(func_def_1831,type,
    sK374: ( nat * fun(nat,$o) ) > nat ).

tff(func_def_1832,type,
    sK375: ( nat * fun(nat,$o) ) > nat ).

tff(func_def_1833,type,
    sK376: ( nat * nat ) > nat ).

tff(func_def_1834,type,
    sK377: ( nat * nat ) > nat ).

tff(func_def_1835,type,
    sK378: fun(nat,nat) > nat ).

tff(func_def_1836,type,
    sK379: fun(nat,nat) > nat ).

tff(func_def_1837,type,
    sK380: ( nat * nat * fun(nat,$o) ) > nat ).

tff(func_def_1838,type,
    sK381: ( nat * nat * fun(nat,$o) ) > nat ).

tff(func_def_1839,type,
    sK382: ( nat * nat ) > nat ).

tff(func_def_1840,type,
    sK383: ( nat * nat ) > nat ).

tff(func_def_1841,type,
    sK384: ( nat * nat ) > nat ).

tff(func_def_1842,type,
    sK385: fun(nat,nat) > nat ).

tff(func_def_1843,type,
    sK386: fun(nat,nat) > nat ).

tff(func_def_1844,type,
    sK387: nat > nat ).

tff(func_def_1845,type,
    sK388: ( nat * nat ) > nat ).

tff(func_def_1846,type,
    sK389: 
      !>[X0: $tType] : ( ( list(X0) * fun(X0,$o) ) > X0 ) ).

tff(func_def_1847,type,
    sK390: ( nat * nat ) > nat ).

tff(func_def_1848,type,
    sK391: 
      !>[X0: $tType] : ( ( set(X0) * set(X0) * fun(X0,$o) ) > X0 ) ).

tff(func_def_1849,type,
    sK392: 
      !>[X0: $tType] : ( ( set(X0) * fun(X0,$o) ) > X0 ) ).

tff(func_def_1850,type,
    sK393: 
      !>[X0: $tType] : ( ( set(X0) * fun(X0,$o) ) > X0 ) ).

tff(func_def_1851,type,
    sK394: 
      !>[X0: $tType] : ( ( set(X0) * set(X0) * fun(X0,$o) ) > X0 ) ).

tff(func_def_1852,type,
    sK395: 
      !>[X0: $tType] : ( ( set(X0) * fun(X0,$o) ) > X0 ) ).

tff(func_def_1853,type,
    sK396: 
      !>[X0: $tType] : ( ( set(X0) * fun(X0,$o) ) > X0 ) ).

tff(func_def_1854,type,
    sK397: 
      !>[X0: $tType] : ( ( set(X0) * set(X0) * set(X0) ) > set(X0) ) ).

tff(func_def_1855,type,
    sK398: 
      !>[X0: $tType] : ( ( set(X0) * set(X0) * set(X0) ) > set(X0) ) ).

tff(func_def_1856,type,
    sK399: 
      !>[X0: $tType] : ( ( set(X0) * set(X0) ) > X0 ) ).

tff(func_def_1857,type,
    sK400: 
      !>[X0: $tType] : ( fun(X0,fun(X0,X0)) > X0 ) ).

tff(func_def_1858,type,
    sK401: 
      !>[X0: $tType] : ( fun(X0,fun(X0,X0)) > X0 ) ).

tff(func_def_1859,type,
    sK402: 
      !>[X0: $tType] : ( fun(X0,fun(X0,X0)) > X0 ) ).

tff(func_def_1860,type,
    sK403: 
      !>[X0: $tType] : ( fun(X0,fun(X0,X0)) > X0 ) ).

tff(func_def_1861,type,
    sK404: 
      !>[X0: $tType] : ( fun(X0,fun(X0,X0)) > X0 ) ).

tff(func_def_1862,type,
    sK405: 
      !>[X0: $tType] : ( fun(X0,fun(X0,X0)) > X0 ) ).

tff(func_def_1863,type,
    sK406: 
      !>[X0: $tType] : ( fun(X0,fun(X0,X0)) > X0 ) ).

tff(func_def_1864,type,
    sK407: ( list(vEBT_VEBT) * nat ) > vEBT_VEBT ).

tff(func_def_1865,type,
    sK408: ( list(vEBT_VEBT) * vEBT_VEBT * nat ) > nat ).

tff(func_def_1866,type,
    sK409: list(vEBT_VEBT) > vEBT_VEBT ).

tff(func_def_1867,type,
    sK410: ( list(vEBT_VEBT) * nat * nat * nat * nat ) > nat ).

tff(func_def_1868,type,
    sK415: ( list(vEBT_VEBT) * nat ) > nat ).

tff(func_def_1869,type,
    sK416: vEBT_VEBT > nat ).

tff(func_def_1870,type,
    sK417: ( list(vEBT_VEBT) * nat * nat * nat * nat ) > nat ).

tff(func_def_1871,type,
    sK418: ( list(vEBT_VEBT) * nat ) > vEBT_VEBT ).

tff(func_def_1872,type,
    sK419: ( list(vEBT_VEBT) * vEBT_VEBT * nat ) > nat ).

tff(func_def_1873,type,
    sK420: list(vEBT_VEBT) > vEBT_VEBT ).

tff(func_def_1874,type,
    sK421: ( list(vEBT_VEBT) * nat * nat * nat * nat ) > nat ).

tff(func_def_1875,type,
    sK426: ( list(vEBT_VEBT) * nat ) > nat ).

tff(func_def_1876,type,
    sK427: vEBT_VEBT > nat ).

tff(func_def_1877,type,
    sK428: ( list(vEBT_VEBT) * nat * nat * nat * nat ) > nat ).

tff(func_def_1878,type,
    sK429: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_1879,type,
    sK430: fun(nat,$o) > nat ).

tff(func_def_1880,type,
    sK442: ( real * real ) > nat ).

tff(func_def_1881,type,
    sK443: 
      !>[X0: $tType,X1: $tType] : ( ( set(product_prod(X1,X0)) * set(product_prod(X1,X0)) ) > X1 ) ).

tff(func_def_1882,type,
    sK444: 
      !>[X0: $tType,X1: $tType] : ( ( set(product_prod(X1,X0)) * set(product_prod(X1,X0)) ) > X0 ) ).

tff(func_def_1883,type,
    sK445: ( set(nat) * nat * nat ) > nat ).

tff(func_def_1884,type,
    sK446: ( set(nat) * nat * nat ) > nat ).

tff(func_def_1885,type,
    sK469: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_1886,type,
    sK470: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_1887,type,
    sK471: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_1888,type,
    sK472: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_1889,type,
    sK473: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_1890,type,
    sK474: ( vEBT_VEBT * nat ) > list(vEBT_VEBT) ).

tff(func_def_1891,type,
    sK475: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_1892,type,
    sK476: ( vEBT_VEBT * nat ) > list(vEBT_VEBT) ).

tff(func_def_1893,type,
    sK477: ( vEBT_VEBT * nat ) > list(vEBT_VEBT) ).

tff(func_def_1894,type,
    sK478: ( vEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_1895,type,
    sK479: ( vEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_1896,type,
    sK480: ( vEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_1897,type,
    sK483: nat > nat ).

tff(func_def_1898,type,
    sK484: nat > nat ).

tff(func_def_1899,type,
    sK485: nat > nat ).

tff(func_def_1900,type,
    sK486: fun(nat,$o) > nat ).

tff(func_def_1901,type,
    sK487: fun(nat,fun(nat,$o)) > nat ).

tff(func_def_1902,type,
    sK488: fun(nat,fun(nat,$o)) > nat ).

tff(func_def_1903,type,
    sK489: fun(nat,fun(nat,$o)) > nat ).

tff(func_def_1904,type,
    sK490: fun(nat,fun(nat,$o)) > nat ).

tff(func_def_1905,type,
    sK491: fun(nat,$o) > nat ).

tff(func_def_1906,type,
    sK492: nat > nat ).

tff(func_def_1907,type,
    sK493: 
      !>[X0: $tType] : ( ( fun(X0,nat) * fun(X0,$o) ) > X0 ) ).

tff(func_def_1908,type,
    sK494: 
      !>[X0: $tType] : ( ( fun(X0,nat) * fun(X0,$o) ) > X0 ) ).

tff(func_def_1909,type,
    sK495: fun(nat,$o) > nat ).

tff(func_def_1910,type,
    sK496: 
      !>[X0: $tType] : ( ( X0 * X0 ) > X0 ) ).

tff(func_def_1911,type,
    sK497: ( nat * nat ) > nat ).

tff(func_def_1912,type,
    sK498: nat > nat ).

tff(func_def_1913,type,
    sK499: ( nat * fun(nat,$o) ) > nat ).

tff(func_def_1914,type,
    sK500: ( nat * fun(nat,$o) ) > nat ).

tff(func_def_1915,type,
    sK501: nat > nat ).

tff(func_def_1916,type,
    sK502: ( nat * fun(nat,$o) ) > nat ).

tff(func_def_1917,type,
    sK503: ( nat * fun(nat,$o) ) > nat ).

tff(func_def_1918,type,
    sK504: ( fun(nat,$o) * nat ) > nat ).

tff(func_def_1919,type,
    sK505: ( nat * nat ) > nat ).

tff(func_def_1920,type,
    sK506: 
      !>[X0: $tType] : ( nat > list(X0) ) ).

tff(func_def_1921,type,
    sK507: ( fun(nat,$o) * nat ) > nat ).

tff(func_def_1922,type,
    sK508: fun(nat,$o) > nat ).

tff(func_def_1923,type,
    sK509: ( fun(nat,$o) * nat * nat ) > nat ).

tff(func_def_1924,type,
    sK510: ( fun(nat,$o) * nat * nat ) > nat ).

tff(func_def_1925,type,
    sK511: ( fun(nat,$o) * nat * nat ) > nat ).

tff(func_def_1926,type,
    sK512: ( fun(nat,$o) * nat * nat ) > nat ).

tff(func_def_1927,type,
    sK513: fun(nat,$o) > nat ).

tff(func_def_1928,type,
    sK514: ( fun(nat,$o) * nat * nat ) > nat ).

tff(func_def_1929,type,
    sK515: fun(nat,$o) > nat ).

tff(func_def_1930,type,
    sK516: fun(nat,$o) > nat ).

tff(func_def_1931,type,
    sK517: 
      !>[X0: $tType] : ( ( list(X0) * set(X0) ) > X0 ) ).

tff(func_def_1932,type,
    sK518: 
      !>[X0: $tType] : ( fun(list(X0),$o) > list(X0) ) ).

tff(func_def_1933,type,
    sK519: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) ) > nat ) ).

tff(func_def_1934,type,
    sK520: 
      !>[X0: $tType] : ( ( nat * fun(nat,fun(X0,$o)) ) > nat ) ).

tff(func_def_1935,type,
    sK521: 
      !>[X0: $tType] : ( ( nat * fun(nat,fun(X0,$o)) ) > list(X0) ) ).

tff(func_def_1936,type,
    sK522: 
      !>[X0: $tType] : ( ( fun(nat,fun(X0,$o)) * nat ) > X0 ) ).

tff(func_def_1937,type,
    sK523: 
      !>[X0: $tType] : ( ( nat * fun(nat,fun(X0,$o)) * list(X0) ) > nat ) ).

tff(func_def_1938,type,
    sK524: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) ) > nat ) ).

tff(func_def_1939,type,
    sK525: 
      !>[X0: $tType] : ( ( list(X0) * fun(X0,$o) ) > X0 ) ).

tff(func_def_1940,type,
    sK526: 
      !>[X0: $tType] : ( ( list(X0) * fun(X0,$o) ) > nat ) ).

tff(func_def_1941,type,
    sK527: 
      !>[X0: $tType] : ( ( list(X0) * fun(X0,$o) ) > nat ) ).

tff(func_def_1942,type,
    sK528: 
      !>[X0: $tType] : ( ( X0 * list(X0) ) > nat ) ).

tff(func_def_1943,type,
    sK529: 
      !>[X0: $tType] : ( ( list(X0) * fun(X0,$o) ) > X0 ) ).

tff(func_def_1944,type,
    sK545: vEBT_VEBT > nat ).

tff(func_def_1945,type,
    sK546: vEBT_VEBT > list(vEBT_VEBT) ).

tff(func_def_1946,type,
    sK547: vEBT_VEBT > vEBT_VEBT ).

tff(func_def_1947,type,
    sK548: vEBT_VEBT > product_prod(nat,nat) ).

tff(func_def_1948,type,
    sK549: vEBT_VEBT > list(vEBT_VEBT) ).

tff(func_def_1949,type,
    sK550: vEBT_VEBT > vEBT_VEBT ).

tff(func_def_1950,type,
    sK551: ( vEBT_VEBT * nat * option(nat) ) > nat ).

tff(func_def_1951,type,
    sK552: ( vEBT_VEBT * nat * option(nat) ) > nat ).

tff(func_def_1952,type,
    sK553: ( vEBT_VEBT * nat * option(nat) ) > nat ).

tff(func_def_1953,type,
    sK554: ( vEBT_VEBT * nat * option(nat) ) > list(vEBT_VEBT) ).

tff(func_def_1954,type,
    sK555: ( vEBT_VEBT * nat * option(nat) ) > vEBT_VEBT ).

tff(func_def_1955,type,
    sK556: vEBT_VEBT > product_prod(nat,nat) ).

tff(func_def_1956,type,
    sK557: vEBT_VEBT > list(vEBT_VEBT) ).

tff(func_def_1957,type,
    sK558: vEBT_VEBT > vEBT_VEBT ).

tff(func_def_1958,type,
    sK562: nat > nat ).

tff(func_def_1959,type,
    sK602: nat > nat ).

tff(func_def_1960,type,
    sK603: vEBT_VEBT > nat ).

tff(func_def_1961,type,
    sK604: vEBT_VEBT > list(vEBT_VEBT) ).

tff(func_def_1962,type,
    sK605: vEBT_VEBT > vEBT_VEBT ).

tff(func_def_1963,type,
    sK606: vEBT_VEBT > product_prod(nat,nat) ).

tff(func_def_1964,type,
    sK607: vEBT_VEBT > list(vEBT_VEBT) ).

tff(func_def_1965,type,
    sK608: vEBT_VEBT > vEBT_VEBT ).

tff(func_def_1966,type,
    sK609: ( vEBT_VEBT * nat * option(nat) ) > nat ).

tff(func_def_1967,type,
    sK610: ( vEBT_VEBT * nat * option(nat) ) > nat ).

tff(func_def_1968,type,
    sK611: ( vEBT_VEBT * nat * option(nat) ) > nat ).

tff(func_def_1969,type,
    sK612: ( vEBT_VEBT * nat * option(nat) ) > list(vEBT_VEBT) ).

tff(func_def_1970,type,
    sK613: ( vEBT_VEBT * nat * option(nat) ) > vEBT_VEBT ).

tff(func_def_1971,type,
    sK614: vEBT_VEBT > product_prod(nat,nat) ).

tff(func_def_1972,type,
    sK615: vEBT_VEBT > list(vEBT_VEBT) ).

tff(func_def_1973,type,
    sK616: vEBT_VEBT > vEBT_VEBT ).

tff(func_def_1974,type,
    sK640: ( vEBT_VEBT * vEBT_VEBT ) > nat ).

tff(func_def_1975,type,
    sK641: ( vEBT_VEBT * vEBT_VEBT ) > list(vEBT_VEBT) ).

tff(func_def_1976,type,
    sK642: ( vEBT_VEBT * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_1977,type,
    sK643: ( vEBT_VEBT * vEBT_VEBT ) > nat ).

tff(func_def_1978,type,
    sK644: ( vEBT_VEBT * vEBT_VEBT ) > nat ).

tff(func_def_1979,type,
    sK645: ( vEBT_VEBT * vEBT_VEBT ) > list(vEBT_VEBT) ).

tff(func_def_1980,type,
    sK646: ( vEBT_VEBT * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_1981,type,
    sK647: ( vEBT_VEBT * vEBT_VEBT ) > nat ).

tff(func_def_1982,type,
    sK648: ( vEBT_VEBT * vEBT_VEBT ) > nat ).

tff(func_def_1983,type,
    sK649: ( vEBT_VEBT * vEBT_VEBT ) > list(vEBT_VEBT) ).

tff(func_def_1984,type,
    sK650: ( vEBT_VEBT * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_1985,type,
    sK651: ( vEBT_VEBT * nat * vEBT_VEBT ) > nat ).

tff(func_def_1986,type,
    sK652: ( vEBT_VEBT * nat * vEBT_VEBT ) > nat ).

tff(func_def_1987,type,
    sK653: ( vEBT_VEBT * nat * vEBT_VEBT ) > nat ).

tff(func_def_1988,type,
    sK654: ( vEBT_VEBT * nat * vEBT_VEBT ) > list(vEBT_VEBT) ).

tff(func_def_1989,type,
    sK655: ( vEBT_VEBT * nat * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_1990,type,
    sK665: nat > nat ).

tff(func_def_1991,type,
    sK827: vEBT_VEBT > option(product_prod(nat,nat)) ).

tff(func_def_1992,type,
    sK828: vEBT_VEBT > nat ).

tff(func_def_1993,type,
    sK829: vEBT_VEBT > list(vEBT_VEBT) ).

tff(func_def_1994,type,
    sK830: vEBT_VEBT > vEBT_VEBT ).

tff(func_def_1995,type,
    sK835: product_prod(vEBT_VEBT,nat) > nat ).

tff(func_def_1996,type,
    sK836: product_prod(vEBT_VEBT,nat) > option(product_prod(nat,nat)) ).

tff(func_def_1997,type,
    sK837: product_prod(vEBT_VEBT,nat) > nat ).

tff(func_def_1998,type,
    sK838: product_prod(vEBT_VEBT,nat) > list(vEBT_VEBT) ).

tff(func_def_1999,type,
    sK839: product_prod(vEBT_VEBT,nat) > vEBT_VEBT ).

tff(func_def_2000,type,
    sK840: product_prod(vEBT_VEBT,nat) > nat ).

tff(func_def_2001,type,
    sK845: product_prod(vEBT_VEBT,nat) > nat ).

tff(func_def_2002,type,
    sK846: product_prod(vEBT_VEBT,nat) > option(product_prod(nat,nat)) ).

tff(func_def_2003,type,
    sK847: product_prod(vEBT_VEBT,nat) > list(vEBT_VEBT) ).

tff(func_def_2004,type,
    sK848: product_prod(vEBT_VEBT,nat) > vEBT_VEBT ).

tff(func_def_2005,type,
    sK849: product_prod(vEBT_VEBT,nat) > nat ).

tff(func_def_2006,type,
    sK850: product_prod(vEBT_VEBT,nat) > option(product_prod(nat,nat)) ).

tff(func_def_2007,type,
    sK851: product_prod(vEBT_VEBT,nat) > nat ).

tff(func_def_2008,type,
    sK852: product_prod(vEBT_VEBT,nat) > list(vEBT_VEBT) ).

tff(func_def_2009,type,
    sK853: product_prod(vEBT_VEBT,nat) > vEBT_VEBT ).

tff(func_def_2010,type,
    sK854: product_prod(vEBT_VEBT,nat) > nat ).

tff(func_def_2011,type,
    sK857: vEBT_VEBT > nat ).

tff(func_def_2012,type,
    sK858: vEBT_VEBT > list(vEBT_VEBT) ).

tff(func_def_2013,type,
    sK859: vEBT_VEBT > vEBT_VEBT ).

tff(func_def_2014,type,
    sK860: vEBT_VEBT > product_prod(nat,nat) ).

tff(func_def_2015,type,
    sK861: vEBT_VEBT > nat ).

tff(func_def_2016,type,
    sK862: vEBT_VEBT > list(vEBT_VEBT) ).

tff(func_def_2017,type,
    sK863: vEBT_VEBT > vEBT_VEBT ).

tff(func_def_2018,type,
    sK868: vEBT_VEBT > product_prod(nat,nat) ).

tff(func_def_2019,type,
    sK869: vEBT_VEBT > nat ).

tff(func_def_2020,type,
    sK870: vEBT_VEBT > list(vEBT_VEBT) ).

tff(func_def_2021,type,
    sK871: vEBT_VEBT > vEBT_VEBT ).

tff(func_def_2022,type,
    sK874: vEBT_VEBT > nat ).

tff(func_def_2023,type,
    sK875: vEBT_VEBT > list(vEBT_VEBT) ).

tff(func_def_2024,type,
    sK876: vEBT_VEBT > vEBT_VEBT ).

tff(func_def_2025,type,
    sK877: ( real * nat ) > real ).

tff(func_def_2026,type,
    sK878: ( real * real ) > nat ).

tff(func_def_2027,type,
    sK881: vEBT_VEBT > nat ).

tff(func_def_2028,type,
    sK882: vEBT_VEBT > list(vEBT_VEBT) ).

tff(func_def_2029,type,
    sK883: vEBT_VEBT > vEBT_VEBT ).

tff(func_def_2030,type,
    sK884: vEBT_VEBT > nat ).

tff(func_def_2031,type,
    sK885: vEBT_VEBT > nat ).

tff(func_def_2032,type,
    sK886: vEBT_VEBT > nat ).

tff(func_def_2033,type,
    sK887: vEBT_VEBT > list(vEBT_VEBT) ).

tff(func_def_2034,type,
    sK888: vEBT_VEBT > vEBT_VEBT ).

tff(func_def_2035,type,
    sK895: vEBT_VEBT > nat ).

tff(func_def_2036,type,
    sK896: vEBT_VEBT > list(vEBT_VEBT) ).

tff(func_def_2037,type,
    sK897: vEBT_VEBT > vEBT_VEBT ).

tff(func_def_2038,type,
    sK898: vEBT_VEBT > product_prod(nat,nat) ).

tff(func_def_2039,type,
    sK899: vEBT_VEBT > nat ).

tff(func_def_2040,type,
    sK900: vEBT_VEBT > list(vEBT_VEBT) ).

tff(func_def_2041,type,
    sK901: vEBT_VEBT > vEBT_VEBT ).

tff(func_def_2042,type,
    sK903: ( nat * real ) > real ).

tff(func_def_2043,type,
    sK904: ( nat * real ) > real ).

tff(func_def_2044,type,
    sK911: product_prod(vEBT_VEBT,nat) > nat ).

tff(func_def_2045,type,
    sK912: product_prod(vEBT_VEBT,nat) > nat ).

tff(func_def_2046,type,
    sK913: product_prod(vEBT_VEBT,nat) > list(vEBT_VEBT) ).

tff(func_def_2047,type,
    sK914: product_prod(vEBT_VEBT,nat) > vEBT_VEBT ).

tff(func_def_2048,type,
    sK915: product_prod(vEBT_VEBT,nat) > nat ).

tff(func_def_2049,type,
    sK916: product_prod(vEBT_VEBT,nat) > product_prod(nat,nat) ).

tff(func_def_2050,type,
    sK917: product_prod(vEBT_VEBT,nat) > list(vEBT_VEBT) ).

tff(func_def_2051,type,
    sK918: product_prod(vEBT_VEBT,nat) > vEBT_VEBT ).

tff(func_def_2052,type,
    sK919: product_prod(vEBT_VEBT,nat) > nat ).

tff(func_def_2053,type,
    sK920: product_prod(vEBT_VEBT,nat) > product_prod(nat,nat) ).

tff(func_def_2054,type,
    sK921: product_prod(vEBT_VEBT,nat) > list(vEBT_VEBT) ).

tff(func_def_2055,type,
    sK922: product_prod(vEBT_VEBT,nat) > vEBT_VEBT ).

tff(func_def_2056,type,
    sK923: product_prod(vEBT_VEBT,nat) > nat ).

tff(func_def_2057,type,
    sK924: product_prod(vEBT_VEBT,nat) > nat ).

tff(func_def_2058,type,
    sK925: product_prod(vEBT_VEBT,nat) > nat ).

tff(func_def_2059,type,
    sK926: product_prod(vEBT_VEBT,nat) > nat ).

tff(func_def_2060,type,
    sK927: product_prod(vEBT_VEBT,nat) > list(vEBT_VEBT) ).

tff(func_def_2061,type,
    sK928: product_prod(vEBT_VEBT,nat) > vEBT_VEBT ).

tff(func_def_2062,type,
    sK929: product_prod(vEBT_VEBT,nat) > nat ).

tff(func_def_2063,type,
    sK987: product_prod(vEBT_VEBT,nat) > nat ).

tff(func_def_2064,type,
    sK988: product_prod(vEBT_VEBT,nat) > nat ).

tff(func_def_2065,type,
    sK989: product_prod(vEBT_VEBT,nat) > list(vEBT_VEBT) ).

tff(func_def_2066,type,
    sK990: product_prod(vEBT_VEBT,nat) > vEBT_VEBT ).

tff(func_def_2067,type,
    sK991: product_prod(vEBT_VEBT,nat) > nat ).

tff(func_def_2068,type,
    sK992: product_prod(vEBT_VEBT,nat) > product_prod(nat,nat) ).

tff(func_def_2069,type,
    sK993: product_prod(vEBT_VEBT,nat) > list(vEBT_VEBT) ).

tff(func_def_2070,type,
    sK994: product_prod(vEBT_VEBT,nat) > vEBT_VEBT ).

tff(func_def_2071,type,
    sK995: product_prod(vEBT_VEBT,nat) > nat ).

tff(func_def_2072,type,
    sK996: product_prod(vEBT_VEBT,nat) > product_prod(nat,nat) ).

tff(func_def_2073,type,
    sK997: product_prod(vEBT_VEBT,nat) > list(vEBT_VEBT) ).

tff(func_def_2074,type,
    sK998: product_prod(vEBT_VEBT,nat) > vEBT_VEBT ).

tff(func_def_2075,type,
    sK999: product_prod(vEBT_VEBT,nat) > nat ).

tff(func_def_2076,type,
    sK1000: product_prod(vEBT_VEBT,nat) > nat ).

tff(func_def_2077,type,
    sK1001: product_prod(vEBT_VEBT,nat) > nat ).

tff(func_def_2078,type,
    sK1002: product_prod(vEBT_VEBT,nat) > nat ).

tff(func_def_2079,type,
    sK1003: product_prod(vEBT_VEBT,nat) > list(vEBT_VEBT) ).

tff(func_def_2080,type,
    sK1004: product_prod(vEBT_VEBT,nat) > vEBT_VEBT ).

tff(func_def_2081,type,
    sK1005: product_prod(vEBT_VEBT,nat) > nat ).

tff(func_def_2082,type,
    sK1028: product_prod(vEBT_VEBT,nat) > nat ).

tff(func_def_2083,type,
    sK1029: product_prod(vEBT_VEBT,nat) > option(product_prod(nat,nat)) ).

tff(func_def_2084,type,
    sK1030: product_prod(vEBT_VEBT,nat) > list(vEBT_VEBT) ).

tff(func_def_2085,type,
    sK1031: product_prod(vEBT_VEBT,nat) > vEBT_VEBT ).

tff(func_def_2086,type,
    sK1032: product_prod(vEBT_VEBT,nat) > nat ).

tff(func_def_2087,type,
    sK1033: product_prod(vEBT_VEBT,nat) > option(product_prod(nat,nat)) ).

tff(func_def_2088,type,
    sK1034: product_prod(vEBT_VEBT,nat) > list(vEBT_VEBT) ).

tff(func_def_2089,type,
    sK1035: product_prod(vEBT_VEBT,nat) > vEBT_VEBT ).

tff(func_def_2090,type,
    sK1036: product_prod(vEBT_VEBT,nat) > nat ).

tff(func_def_2091,type,
    sK1037: product_prod(vEBT_VEBT,nat) > nat ).

tff(func_def_2092,type,
    sK1038: product_prod(vEBT_VEBT,nat) > list(vEBT_VEBT) ).

tff(func_def_2093,type,
    sK1039: product_prod(vEBT_VEBT,nat) > vEBT_VEBT ).

tff(func_def_2094,type,
    sK1040: product_prod(vEBT_VEBT,nat) > nat ).

tff(func_def_2095,type,
    sK1041: product_prod(vEBT_VEBT,nat) > nat ).

tff(func_def_2096,type,
    sK1042: product_prod(vEBT_VEBT,nat) > nat ).

tff(func_def_2097,type,
    sK1043: product_prod(vEBT_VEBT,nat) > nat ).

tff(func_def_2098,type,
    sK1044: product_prod(vEBT_VEBT,nat) > list(vEBT_VEBT) ).

tff(func_def_2099,type,
    sK1045: product_prod(vEBT_VEBT,nat) > vEBT_VEBT ).

tff(func_def_2100,type,
    sK1046: product_prod(vEBT_VEBT,nat) > nat ).

tff(func_def_2101,type,
    sK1049: product_prod(vEBT_VEBT,nat) > nat ).

tff(func_def_2102,type,
    sK1050: product_prod(vEBT_VEBT,nat) > list(vEBT_VEBT) ).

tff(func_def_2103,type,
    sK1051: product_prod(vEBT_VEBT,nat) > vEBT_VEBT ).

tff(func_def_2104,type,
    sK1052: product_prod(vEBT_VEBT,nat) > nat ).

tff(func_def_2105,type,
    sK1053: product_prod(vEBT_VEBT,nat) > nat ).

tff(func_def_2106,type,
    sK1054: product_prod(vEBT_VEBT,nat) > nat ).

tff(func_def_2107,type,
    sK1055: product_prod(vEBT_VEBT,nat) > list(vEBT_VEBT) ).

tff(func_def_2108,type,
    sK1056: product_prod(vEBT_VEBT,nat) > vEBT_VEBT ).

tff(func_def_2109,type,
    sK1057: product_prod(vEBT_VEBT,nat) > nat ).

tff(func_def_2110,type,
    sK1058: product_prod(vEBT_VEBT,nat) > nat ).

tff(func_def_2111,type,
    sK1059: product_prod(vEBT_VEBT,nat) > nat ).

tff(func_def_2112,type,
    sK1060: product_prod(vEBT_VEBT,nat) > nat ).

tff(func_def_2113,type,
    sK1061: product_prod(vEBT_VEBT,nat) > list(vEBT_VEBT) ).

tff(func_def_2114,type,
    sK1062: product_prod(vEBT_VEBT,nat) > vEBT_VEBT ).

tff(func_def_2115,type,
    sK1063: product_prod(vEBT_VEBT,nat) > nat ).

tff(func_def_2116,type,
    sK1064: product_prod(vEBT_VEBT,nat) > nat ).

tff(func_def_2117,type,
    sK1065: product_prod(vEBT_VEBT,nat) > list(vEBT_VEBT) ).

tff(func_def_2118,type,
    sK1066: product_prod(vEBT_VEBT,nat) > vEBT_VEBT ).

tff(func_def_2119,type,
    sK1067: product_prod(vEBT_VEBT,nat) > nat ).

tff(func_def_2120,type,
    sK1074: product_prod(vEBT_VEBT,nat) > nat ).

tff(func_def_2121,type,
    sK1075: product_prod(vEBT_VEBT,nat) > nat ).

tff(func_def_2122,type,
    sK1076: product_prod(vEBT_VEBT,nat) > list(vEBT_VEBT) ).

tff(func_def_2123,type,
    sK1077: product_prod(vEBT_VEBT,nat) > vEBT_VEBT ).

tff(func_def_2124,type,
    sK1078: product_prod(vEBT_VEBT,nat) > nat ).

tff(func_def_2125,type,
    sK1079: product_prod(vEBT_VEBT,nat) > nat ).

tff(func_def_2126,type,
    sK1080: product_prod(vEBT_VEBT,nat) > nat ).

tff(func_def_2127,type,
    sK1081: product_prod(vEBT_VEBT,nat) > list(vEBT_VEBT) ).

tff(func_def_2128,type,
    sK1082: product_prod(vEBT_VEBT,nat) > vEBT_VEBT ).

tff(func_def_2129,type,
    sK1083: product_prod(vEBT_VEBT,nat) > nat ).

tff(func_def_2130,type,
    sK1084: product_prod(vEBT_VEBT,nat) > nat ).

tff(func_def_2131,type,
    sK1085: product_prod(vEBT_VEBT,nat) > nat ).

tff(func_def_2132,type,
    sK1086: product_prod(vEBT_VEBT,nat) > list(vEBT_VEBT) ).

tff(func_def_2133,type,
    sK1087: product_prod(vEBT_VEBT,nat) > vEBT_VEBT ).

tff(func_def_2134,type,
    sK1088: product_prod(vEBT_VEBT,nat) > nat ).

tff(func_def_2135,type,
    sK1089: product_prod(vEBT_VEBT,nat) > nat ).

tff(func_def_2136,type,
    sK1090: product_prod(vEBT_VEBT,nat) > nat ).

tff(func_def_2137,type,
    sK1091: product_prod(vEBT_VEBT,nat) > nat ).

tff(func_def_2138,type,
    sK1092: product_prod(vEBT_VEBT,nat) > list(vEBT_VEBT) ).

tff(func_def_2139,type,
    sK1093: product_prod(vEBT_VEBT,nat) > vEBT_VEBT ).

tff(func_def_2140,type,
    sK1094: product_prod(vEBT_VEBT,nat) > nat ).

tff(func_def_2141,type,
    sK1150: product_prod(vEBT_VEBT,nat) > nat ).

tff(func_def_2142,type,
    sK1151: product_prod(vEBT_VEBT,nat) > nat ).

tff(func_def_2143,type,
    sK1152: product_prod(vEBT_VEBT,nat) > list(vEBT_VEBT) ).

tff(func_def_2144,type,
    sK1153: product_prod(vEBT_VEBT,nat) > vEBT_VEBT ).

tff(func_def_2145,type,
    sK1154: product_prod(vEBT_VEBT,nat) > nat ).

tff(func_def_2146,type,
    sK1155: product_prod(vEBT_VEBT,nat) > product_prod(nat,nat) ).

tff(func_def_2147,type,
    sK1156: product_prod(vEBT_VEBT,nat) > list(vEBT_VEBT) ).

tff(func_def_2148,type,
    sK1157: product_prod(vEBT_VEBT,nat) > vEBT_VEBT ).

tff(func_def_2149,type,
    sK1158: product_prod(vEBT_VEBT,nat) > nat ).

tff(func_def_2150,type,
    sK1159: product_prod(vEBT_VEBT,nat) > product_prod(nat,nat) ).

tff(func_def_2151,type,
    sK1160: product_prod(vEBT_VEBT,nat) > list(vEBT_VEBT) ).

tff(func_def_2152,type,
    sK1161: product_prod(vEBT_VEBT,nat) > vEBT_VEBT ).

tff(func_def_2153,type,
    sK1162: product_prod(vEBT_VEBT,nat) > nat ).

tff(func_def_2154,type,
    sK1163: product_prod(vEBT_VEBT,nat) > nat ).

tff(func_def_2155,type,
    sK1164: product_prod(vEBT_VEBT,nat) > nat ).

tff(func_def_2156,type,
    sK1165: product_prod(vEBT_VEBT,nat) > nat ).

tff(func_def_2157,type,
    sK1166: product_prod(vEBT_VEBT,nat) > list(vEBT_VEBT) ).

tff(func_def_2158,type,
    sK1167: product_prod(vEBT_VEBT,nat) > vEBT_VEBT ).

tff(func_def_2159,type,
    sK1168: product_prod(vEBT_VEBT,nat) > nat ).

tff(func_def_2160,type,
    sK1171: ( vEBT_VEBT * nat * vEBT_VEBT ) > option(product_prod(nat,nat)) ).

tff(func_def_2161,type,
    sK1172: ( vEBT_VEBT * nat * vEBT_VEBT ) > nat ).

tff(func_def_2162,type,
    sK1173: ( vEBT_VEBT * nat * vEBT_VEBT ) > list(vEBT_VEBT) ).

tff(func_def_2163,type,
    sK1174: ( vEBT_VEBT * nat * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_2164,type,
    sK1182: ( vEBT_VEBT * option(nat) ) > nat ).

tff(func_def_2165,type,
    sK1183: vEBT_VEBT > nat ).

tff(func_def_2166,type,
    sK1184: vEBT_VEBT > list(vEBT_VEBT) ).

tff(func_def_2167,type,
    sK1185: vEBT_VEBT > vEBT_VEBT ).

tff(func_def_2168,type,
    sK1189: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_2169,type,
    sK1190: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_2170,type,
    sK1191: ( vEBT_VEBT * nat ) > list(vEBT_VEBT) ).

tff(func_def_2171,type,
    sK1192: ( vEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_2172,type,
    sK1195: ( vEBT_VEBT * option(nat) ) > nat ).

tff(func_def_2173,type,
    sK1196: ( vEBT_VEBT * option(nat) ) > nat ).

tff(func_def_2174,type,
    sK1197: vEBT_VEBT > nat ).

tff(func_def_2175,type,
    sK1198: vEBT_VEBT > list(vEBT_VEBT) ).

tff(func_def_2176,type,
    sK1199: vEBT_VEBT > vEBT_VEBT ).

tff(func_def_2177,type,
    sK1203: ( vEBT_VEBT * nat * nat ) > nat ).

tff(func_def_2178,type,
    sK1204: ( vEBT_VEBT * nat * nat ) > list(vEBT_VEBT) ).

tff(func_def_2179,type,
    sK1205: ( vEBT_VEBT * nat * nat ) > vEBT_VEBT ).

tff(func_def_2180,type,
    sK1206: 
      !>[X0: $tType] : ( ( X0 * X0 ) > X0 ) ).

tff(func_def_2181,type,
    sK1209: vEBT_VEBT > option(product_prod(nat,nat)) ).

tff(func_def_2182,type,
    sK1210: vEBT_VEBT > list(vEBT_VEBT) ).

tff(func_def_2183,type,
    sK1211: vEBT_VEBT > vEBT_VEBT ).

tff(func_def_2184,type,
    sK1212: ( vEBT_VEBT * nat ) > option(product_prod(nat,nat)) ).

tff(func_def_2185,type,
    sK1213: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_2186,type,
    sK1214: ( vEBT_VEBT * nat ) > list(vEBT_VEBT) ).

tff(func_def_2187,type,
    sK1215: ( vEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_2188,type,
    sK1219: ( vEBT_VEBT * nat ) > option(product_prod(nat,nat)) ).

tff(func_def_2189,type,
    sK1220: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_2190,type,
    sK1221: ( vEBT_VEBT * nat ) > list(vEBT_VEBT) ).

tff(func_def_2191,type,
    sK1222: ( vEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_2192,type,
    sK1226: ( vEBT_VEBT * nat * $o ) > option(product_prod(nat,nat)) ).

tff(func_def_2193,type,
    sK1227: ( vEBT_VEBT * nat * $o ) > nat ).

tff(func_def_2194,type,
    sK1228: ( vEBT_VEBT * nat * $o ) > list(vEBT_VEBT) ).

tff(func_def_2195,type,
    sK1229: vEBT_VEBT > option(product_prod(nat,nat)) ).

tff(func_def_2196,type,
    sK1230: vEBT_VEBT > list(vEBT_VEBT) ).

tff(func_def_2197,type,
    sK1231: vEBT_VEBT > vEBT_VEBT ).

tff(func_def_2198,type,
    sK1238: ( vEBT_VEBT * option(product_prod(nat,nat)) * nat * list(vEBT_VEBT) ) > vEBT_VEBT ).

tff(func_def_2199,type,
    sK1241: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_2200,type,
    sK1242: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_2201,type,
    sK1243: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_2202,type,
    sK1244: ( vEBT_VEBT * nat ) > list(vEBT_VEBT) ).

tff(func_def_2203,type,
    sK1245: ( vEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_2204,type,
    sK1251: ( vEBT_VEBT * nat * $o ) > nat ).

tff(func_def_2205,type,
    sK1252: ( vEBT_VEBT * nat * $o ) > nat ).

tff(func_def_2206,type,
    sK1253: ( vEBT_VEBT * nat * $o ) > nat ).

tff(func_def_2207,type,
    sK1254: ( vEBT_VEBT * nat * $o ) > nat ).

tff(func_def_2208,type,
    sK1255: ( vEBT_VEBT * nat * $o ) > nat ).

tff(func_def_2209,type,
    sK1256: ( vEBT_VEBT * nat * $o ) > list(vEBT_VEBT) ).

tff(func_def_2210,type,
    sK1257: ( vEBT_VEBT * nat * $o ) > nat ).

tff(func_def_2211,type,
    sK1258: ( vEBT_VEBT * nat * $o ) > list(vEBT_VEBT) ).

tff(func_def_2212,type,
    sK1261: vEBT_VEBT > list(vEBT_VEBT) ).

tff(func_def_2213,type,
    sK1262: vEBT_VEBT > vEBT_VEBT ).

tff(func_def_2214,type,
    sK1269: ( vEBT_VEBT * nat * nat ) > list(vEBT_VEBT) ).

tff(func_def_2215,type,
    sK1270: ( vEBT_VEBT * nat * nat ) > vEBT_VEBT ).

tff(func_def_2216,type,
    sK1271: ( vEBT_VEBT * nat * nat * nat * list(vEBT_VEBT) ) > vEBT_VEBT ).

tff(func_def_2217,type,
    sK1272: ( vEBT_VEBT * nat * list(vEBT_VEBT) ) > vEBT_VEBT ).

tff(func_def_2218,type,
    sK1275: vEBT_VEBT > list(vEBT_VEBT) ).

tff(func_def_2219,type,
    sK1276: vEBT_VEBT > vEBT_VEBT ).

tff(func_def_2220,type,
    sK1277: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_2221,type,
    sK1278: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_2222,type,
    sK1279: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_2223,type,
    sK1280: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_2224,type,
    sK1281: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_2225,type,
    sK1282: ( vEBT_VEBT * nat ) > list(vEBT_VEBT) ).

tff(func_def_2226,type,
    sK1283: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_2227,type,
    sK1284: ( vEBT_VEBT * nat ) > list(vEBT_VEBT) ).

tff(func_def_2228,type,
    sK1289: ( vEBT_VEBT * nat ) > list(vEBT_VEBT) ).

tff(func_def_2229,type,
    sK1290: ( vEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_2230,type,
    sK1291: ( vEBT_VEBT * nat * nat * nat * list(vEBT_VEBT) ) > vEBT_VEBT ).

tff(func_def_2231,type,
    sK1292: ( vEBT_VEBT * nat * list(vEBT_VEBT) ) > vEBT_VEBT ).

tff(func_def_2232,type,
    sK1293: 
      !>[X0: $tType] : ( ( X0 * X0 ) > X0 ) ).

tff(func_def_2233,type,
    sK1300: vEBT_VEBT > nat ).

tff(func_def_2234,type,
    sK1301: vEBT_VEBT > list(vEBT_VEBT) ).

tff(func_def_2235,type,
    sK1302: vEBT_VEBT > vEBT_VEBT ).

tff(func_def_2236,type,
    sK1303: vEBT_VEBT > product_prod(nat,nat) ).

tff(func_def_2237,type,
    sK1304: vEBT_VEBT > list(vEBT_VEBT) ).

tff(func_def_2238,type,
    sK1305: vEBT_VEBT > vEBT_VEBT ).

tff(func_def_2239,type,
    sK1306: vEBT_VEBT > product_prod(nat,nat) ).

tff(func_def_2240,type,
    sK1307: vEBT_VEBT > list(vEBT_VEBT) ).

tff(func_def_2241,type,
    sK1308: vEBT_VEBT > vEBT_VEBT ).

tff(func_def_2242,type,
    sK1309: ( vEBT_VEBT * nat * $o ) > nat ).

tff(func_def_2243,type,
    sK1310: ( vEBT_VEBT * nat * $o ) > nat ).

tff(func_def_2244,type,
    sK1311: ( vEBT_VEBT * nat * $o ) > nat ).

tff(func_def_2245,type,
    sK1312: ( vEBT_VEBT * nat * $o ) > list(vEBT_VEBT) ).

tff(func_def_2246,type,
    sK1313: ( vEBT_VEBT * nat * $o ) > vEBT_VEBT ).

tff(func_def_2247,type,
    sK1316: vEBT_VEBT > nat ).

tff(func_def_2248,type,
    sK1317: vEBT_VEBT > list(vEBT_VEBT) ).

tff(func_def_2249,type,
    sK1318: vEBT_VEBT > vEBT_VEBT ).

tff(func_def_2250,type,
    sK1319: vEBT_VEBT > product_prod(nat,nat) ).

tff(func_def_2251,type,
    sK1320: vEBT_VEBT > list(vEBT_VEBT) ).

tff(func_def_2252,type,
    sK1321: vEBT_VEBT > vEBT_VEBT ).

tff(func_def_2253,type,
    sK1322: vEBT_VEBT > product_prod(nat,nat) ).

tff(func_def_2254,type,
    sK1323: vEBT_VEBT > list(vEBT_VEBT) ).

tff(func_def_2255,type,
    sK1324: vEBT_VEBT > vEBT_VEBT ).

tff(func_def_2256,type,
    sK1325: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_2257,type,
    sK1326: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_2258,type,
    sK1327: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_2259,type,
    sK1328: ( vEBT_VEBT * nat ) > list(vEBT_VEBT) ).

tff(func_def_2260,type,
    sK1329: ( vEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_2261,type,
    sK1335: ( vEBT_VEBT * nat ) > list(vEBT_VEBT) ).

tff(func_def_2262,type,
    sK1336: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_2263,type,
    sK1337: ( vEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_2264,type,
    sK1338: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_2265,type,
    sK1339: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_2266,type,
    sK1340: ( vEBT_VEBT * nat ) > list(vEBT_VEBT) ).

tff(func_def_2267,type,
    sK1341: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_2268,type,
    sK1342: ( vEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_2269,type,
    sK1343: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_2270,type,
    sK1344: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_2271,type,
    sK1345: ( vEBT_VEBT * nat ) > list(vEBT_VEBT) ).

tff(func_def_2272,type,
    sK1346: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_2273,type,
    sK1347: ( vEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_2274,type,
    sK1348: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_2275,type,
    sK1349: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_2276,type,
    sK1350: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_2277,type,
    sK1351: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_2278,type,
    sK1352: ( vEBT_VEBT * nat ) > list(vEBT_VEBT) ).

tff(func_def_2279,type,
    sK1353: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_2280,type,
    sK1354: ( vEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_2281,type,
    sK1355: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_2282,type,
    sK1356: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_2283,type,
    sK1357: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_2284,type,
    sK1358: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_2285,type,
    sK1365: ( list(vEBT_VEBT) * nat ) > nat ).

tff(func_def_2286,type,
    sK1366: ( list(vEBT_VEBT) * nat ) > nat ).

tff(func_def_2287,type,
    sK1367: ( vEBT_VEBT * nat ) > list(vEBT_VEBT) ).

tff(func_def_2288,type,
    sK1368: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_2289,type,
    sK1369: ( vEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_2290,type,
    sK1370: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_2291,type,
    sK1371: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_2292,type,
    sK1372: ( vEBT_VEBT * nat ) > list(vEBT_VEBT) ).

tff(func_def_2293,type,
    sK1373: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_2294,type,
    sK1374: ( vEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_2295,type,
    sK1375: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_2296,type,
    sK1376: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_2297,type,
    sK1377: ( vEBT_VEBT * nat ) > list(vEBT_VEBT) ).

tff(func_def_2298,type,
    sK1378: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_2299,type,
    sK1379: ( vEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_2300,type,
    sK1380: ( vEBT_VEBT * nat ) > list(vEBT_VEBT) ).

tff(func_def_2301,type,
    sK1381: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_2302,type,
    sK1382: ( vEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_2303,type,
    sK1387: ( list(vEBT_VEBT) * nat * vEBT_VEBT ) > nat ).

tff(func_def_2304,type,
    sK1388: ( list(vEBT_VEBT) * nat ) > vEBT_VEBT ).

tff(func_def_2305,type,
    sK1391: ( list(vEBT_VEBT) * nat * nat * nat ) > nat ).

tff(func_def_2306,type,
    sK1392: list(vEBT_VEBT) > vEBT_VEBT ).

tff(func_def_2307,type,
    sK1393: ( list(vEBT_VEBT) * nat * vEBT_VEBT ) > nat ).

tff(func_def_2308,type,
    sK1394: ( list(vEBT_VEBT) * nat ) > vEBT_VEBT ).

tff(func_def_2309,type,
    sK1395: list(vEBT_VEBT) > vEBT_VEBT ).

tff(func_def_2310,type,
    sK1396: vEBT_VEBT > nat ).

tff(func_def_2311,type,
    sK1397: ( list(vEBT_VEBT) * nat ) > vEBT_VEBT ).

tff(func_def_2312,type,
    sK1398: list(vEBT_VEBT) > vEBT_VEBT ).

tff(func_def_2313,type,
    sK1399: vEBT_VEBT > nat ).

tff(func_def_2314,type,
    sK1400: ( list(vEBT_VEBT) * nat ) > vEBT_VEBT ).

tff(func_def_2315,type,
    sK1403: ( list(vEBT_VEBT) * nat * nat * nat ) > nat ).

tff(func_def_2316,type,
    sK1404: list(vEBT_VEBT) > vEBT_VEBT ).

tff(func_def_2317,type,
    sK1409: list(vEBT_VEBT) > nat ).

tff(func_def_2318,type,
    sK1410: list(vEBT_VEBT) > nat ).

tff(func_def_2319,type,
    sK1411: vEBT_VEBT > nat ).

tff(func_def_2320,type,
    sK1412: ( list(vEBT_VEBT) * nat ) > nat ).

tff(func_def_2321,type,
    sK1415: ( list(vEBT_VEBT) * nat * nat * nat * nat ) > nat ).

tff(func_def_2322,type,
    sK1416: vEBT_VEBT > nat ).

tff(func_def_2323,type,
    sK1417: ( list(vEBT_VEBT) * nat ) > nat ).

tff(func_def_2324,type,
    sK1418: ( list(vEBT_VEBT) * nat * nat * nat * nat ) > nat ).

tff(func_def_2325,type,
    sK1421: ( vEBT_VEBT * vEBT_VEBT ) > option(product_prod(nat,nat)) ).

tff(func_def_2326,type,
    sK1422: ( vEBT_VEBT * vEBT_VEBT ) > list(vEBT_VEBT) ).

tff(func_def_2327,type,
    sK1423: ( vEBT_VEBT * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_2328,type,
    sK1424: ( vEBT_VEBT * vEBT_VEBT ) > option(product_prod(nat,nat)) ).

tff(func_def_2329,type,
    sK1425: ( vEBT_VEBT * vEBT_VEBT ) > list(vEBT_VEBT) ).

tff(func_def_2330,type,
    sK1426: ( vEBT_VEBT * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_2331,type,
    sK1427: ( vEBT_VEBT * nat * vEBT_VEBT ) > nat ).

tff(func_def_2332,type,
    sK1428: ( vEBT_VEBT * nat * vEBT_VEBT ) > list(vEBT_VEBT) ).

tff(func_def_2333,type,
    sK1429: ( vEBT_VEBT * nat * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_2334,type,
    sK1430: ( vEBT_VEBT * nat * vEBT_VEBT ) > nat ).

tff(func_def_2335,type,
    sK1431: ( vEBT_VEBT * nat * vEBT_VEBT ) > nat ).

tff(func_def_2336,type,
    sK1432: ( vEBT_VEBT * nat * vEBT_VEBT ) > nat ).

tff(func_def_2337,type,
    sK1433: ( vEBT_VEBT * nat * vEBT_VEBT ) > list(vEBT_VEBT) ).

tff(func_def_2338,type,
    sK1434: ( vEBT_VEBT * nat * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_2339,type,
    sK1452: ( vEBT_VEBT * nat * option(nat) ) > nat ).

tff(func_def_2340,type,
    sK1453: ( vEBT_VEBT * nat * option(nat) ) > list(vEBT_VEBT) ).

tff(func_def_2341,type,
    sK1454: ( vEBT_VEBT * nat * option(nat) ) > vEBT_VEBT ).

tff(func_def_2342,type,
    sK1455: ( vEBT_VEBT * nat * option(nat) ) > product_prod(nat,nat) ).

tff(func_def_2343,type,
    sK1456: ( vEBT_VEBT * nat * option(nat) ) > list(vEBT_VEBT) ).

tff(func_def_2344,type,
    sK1457: ( vEBT_VEBT * nat * option(nat) ) > vEBT_VEBT ).

tff(func_def_2345,type,
    sK1458: ( vEBT_VEBT * nat * option(nat) ) > product_prod(nat,nat) ).

tff(func_def_2346,type,
    sK1459: ( vEBT_VEBT * nat * option(nat) ) > list(vEBT_VEBT) ).

tff(func_def_2347,type,
    sK1460: ( vEBT_VEBT * nat * option(nat) ) > vEBT_VEBT ).

tff(func_def_2348,type,
    sK1461: ( vEBT_VEBT * nat * option(nat) ) > nat ).

tff(func_def_2349,type,
    sK1462: ( vEBT_VEBT * nat * option(nat) ) > nat ).

tff(func_def_2350,type,
    sK1463: ( vEBT_VEBT * nat * option(nat) ) > nat ).

tff(func_def_2351,type,
    sK1464: ( vEBT_VEBT * nat * option(nat) ) > list(vEBT_VEBT) ).

tff(func_def_2352,type,
    sK1465: ( vEBT_VEBT * nat * option(nat) ) > vEBT_VEBT ).

tff(func_def_2353,type,
    sK1476: ( nat * option(nat) * $o * $o ) > nat ).

tff(func_def_2354,type,
    sK1549: ( vEBT_VEBT * nat * option(nat) ) > nat ).

tff(func_def_2355,type,
    sK1550: ( vEBT_VEBT * nat * option(nat) ) > list(vEBT_VEBT) ).

tff(func_def_2356,type,
    sK1551: ( vEBT_VEBT * nat * option(nat) ) > vEBT_VEBT ).

tff(func_def_2357,type,
    sK1552: ( vEBT_VEBT * nat * option(nat) ) > product_prod(nat,nat) ).

tff(func_def_2358,type,
    sK1553: ( vEBT_VEBT * nat * option(nat) ) > list(vEBT_VEBT) ).

tff(func_def_2359,type,
    sK1554: ( vEBT_VEBT * nat * option(nat) ) > vEBT_VEBT ).

tff(func_def_2360,type,
    sK1555: ( vEBT_VEBT * nat * option(nat) ) > product_prod(nat,nat) ).

tff(func_def_2361,type,
    sK1556: ( vEBT_VEBT * nat * option(nat) ) > list(vEBT_VEBT) ).

tff(func_def_2362,type,
    sK1557: ( vEBT_VEBT * nat * option(nat) ) > vEBT_VEBT ).

tff(func_def_2363,type,
    sK1558: ( vEBT_VEBT * nat * option(nat) ) > nat ).

tff(func_def_2364,type,
    sK1559: ( vEBT_VEBT * nat * option(nat) ) > nat ).

tff(func_def_2365,type,
    sK1560: ( vEBT_VEBT * nat * option(nat) ) > nat ).

tff(func_def_2366,type,
    sK1561: ( vEBT_VEBT * nat * option(nat) ) > list(vEBT_VEBT) ).

tff(func_def_2367,type,
    sK1562: ( vEBT_VEBT * nat * option(nat) ) > vEBT_VEBT ).

tff(func_def_2368,type,
    sK1575: ( nat * option(nat) * $o * $o ) > nat ).

tff(func_def_2369,type,
    sK1702: ( vEBT_VEBT * nat * vEBT_VEBT ) > nat ).

tff(func_def_2370,type,
    sK1703: ( vEBT_VEBT * nat * vEBT_VEBT ) > list(vEBT_VEBT) ).

tff(func_def_2371,type,
    sK1704: ( vEBT_VEBT * nat * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_2372,type,
    sK1705: ( vEBT_VEBT * nat * vEBT_VEBT ) > nat ).

tff(func_def_2373,type,
    sK1706: ( vEBT_VEBT * nat * vEBT_VEBT ) > nat ).

tff(func_def_2374,type,
    sK1707: ( vEBT_VEBT * nat * vEBT_VEBT ) > list(vEBT_VEBT) ).

tff(func_def_2375,type,
    sK1708: ( vEBT_VEBT * nat * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_2376,type,
    sK1709: ( vEBT_VEBT * nat * vEBT_VEBT ) > nat ).

tff(func_def_2377,type,
    sK1710: ( vEBT_VEBT * nat * vEBT_VEBT ) > nat ).

tff(func_def_2378,type,
    sK1711: ( vEBT_VEBT * nat * vEBT_VEBT ) > list(vEBT_VEBT) ).

tff(func_def_2379,type,
    sK1712: ( vEBT_VEBT * nat * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_2380,type,
    sK1713: ( vEBT_VEBT * nat * vEBT_VEBT ) > nat ).

tff(func_def_2381,type,
    sK1714: ( vEBT_VEBT * nat * vEBT_VEBT ) > nat ).

tff(func_def_2382,type,
    sK1715: ( vEBT_VEBT * nat * vEBT_VEBT ) > nat ).

tff(func_def_2383,type,
    sK1716: ( vEBT_VEBT * nat * vEBT_VEBT ) > list(vEBT_VEBT) ).

tff(func_def_2384,type,
    sK1717: ( vEBT_VEBT * nat * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_2385,type,
    sK1730: ( nat * vEBT_VEBT * $o * $o ) > nat ).

tff(func_def_2386,type,
    sK1885: 
      !>[X0: $tType] : ( ( fun(nat,X0) * fun(nat,X0) ) > nat ) ).

tff(func_def_2387,type,
    sK1886: ( nat * fun(nat,$o) ) > nat ).

tff(func_def_2388,type,
    sK1887: ( nat * fun(nat,$o) ) > nat ).

tff(func_def_2389,type,
    sK1888: ( nat * fun(nat,$o) ) > nat ).

tff(func_def_2390,type,
    sK1889: ( nat * fun(nat,$o) ) > nat ).

tff(func_def_2391,type,
    sK1892: ( vEBT_VEBT * nat * vEBT_VEBT ) > option(product_prod(nat,nat)) ).

tff(func_def_2392,type,
    sK1893: ( vEBT_VEBT * nat * vEBT_VEBT ) > list(vEBT_VEBT) ).

tff(func_def_2393,type,
    sK1894: ( vEBT_VEBT * nat * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_2394,type,
    sK1895: ( vEBT_VEBT * nat * vEBT_VEBT ) > option(product_prod(nat,nat)) ).

tff(func_def_2395,type,
    sK1896: ( vEBT_VEBT * nat * vEBT_VEBT ) > list(vEBT_VEBT) ).

tff(func_def_2396,type,
    sK1897: ( vEBT_VEBT * nat * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_2397,type,
    sK1898: ( vEBT_VEBT * nat * vEBT_VEBT ) > nat ).

tff(func_def_2398,type,
    sK1899: ( vEBT_VEBT * nat * vEBT_VEBT ) > list(vEBT_VEBT) ).

tff(func_def_2399,type,
    sK1900: ( vEBT_VEBT * nat * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_2400,type,
    sK1901: ( vEBT_VEBT * nat * vEBT_VEBT ) > nat ).

tff(func_def_2401,type,
    sK1902: ( vEBT_VEBT * nat * vEBT_VEBT ) > nat ).

tff(func_def_2402,type,
    sK1903: ( vEBT_VEBT * nat * vEBT_VEBT ) > nat ).

tff(func_def_2403,type,
    sK1904: ( vEBT_VEBT * nat * vEBT_VEBT ) > list(vEBT_VEBT) ).

tff(func_def_2404,type,
    sK1905: ( vEBT_VEBT * nat * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_2405,type,
    sK1923: ( vEBT_VEBT * nat * vEBT_VEBT ) > option(product_prod(nat,nat)) ).

tff(func_def_2406,type,
    sK1924: ( vEBT_VEBT * nat * vEBT_VEBT ) > nat ).

tff(func_def_2407,type,
    sK1925: ( vEBT_VEBT * nat * vEBT_VEBT ) > list(vEBT_VEBT) ).

tff(func_def_2408,type,
    sK1926: ( vEBT_VEBT * nat * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_2409,type,
    sK1936: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_2410,type,
    sK1937: ( vEBT_VEBT * nat ) > list(vEBT_VEBT) ).

tff(func_def_2411,type,
    sK1938: ( vEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_2412,type,
    sK1939: ( vEBT_VEBT * nat ) > product_prod(nat,nat) ).

tff(func_def_2413,type,
    sK1940: ( vEBT_VEBT * nat ) > list(vEBT_VEBT) ).

tff(func_def_2414,type,
    sK1941: ( vEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_2415,type,
    sK1942: ( vEBT_VEBT * nat ) > product_prod(nat,nat) ).

tff(func_def_2416,type,
    sK1943: ( vEBT_VEBT * nat ) > list(vEBT_VEBT) ).

tff(func_def_2417,type,
    sK1944: ( vEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_2418,type,
    sK1945: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_2419,type,
    sK1946: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_2420,type,
    sK1947: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_2421,type,
    sK1948: ( vEBT_VEBT * nat ) > list(vEBT_VEBT) ).

tff(func_def_2422,type,
    sK1949: ( vEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_2423,type,
    sK1958: ( vEBT_VEBT * nat * $o ) > nat ).

tff(func_def_2424,type,
    sK1959: ( vEBT_VEBT * nat * $o ) > list(vEBT_VEBT) ).

tff(func_def_2425,type,
    sK1960: ( vEBT_VEBT * nat * $o ) > vEBT_VEBT ).

tff(func_def_2426,type,
    sK1961: ( vEBT_VEBT * nat * $o ) > product_prod(nat,nat) ).

tff(func_def_2427,type,
    sK1962: ( vEBT_VEBT * nat * $o ) > list(vEBT_VEBT) ).

tff(func_def_2428,type,
    sK1963: ( vEBT_VEBT * nat * $o ) > vEBT_VEBT ).

tff(func_def_2429,type,
    sK1964: ( vEBT_VEBT * nat * $o ) > product_prod(nat,nat) ).

tff(func_def_2430,type,
    sK1965: ( vEBT_VEBT * nat * $o ) > list(vEBT_VEBT) ).

tff(func_def_2431,type,
    sK1966: ( vEBT_VEBT * nat * $o ) > vEBT_VEBT ).

tff(func_def_2432,type,
    sK1967: ( vEBT_VEBT * nat * $o ) > nat ).

tff(func_def_2433,type,
    sK1968: ( vEBT_VEBT * nat * $o ) > nat ).

tff(func_def_2434,type,
    sK1969: ( vEBT_VEBT * nat * $o ) > nat ).

tff(func_def_2435,type,
    sK1970: ( vEBT_VEBT * nat * $o ) > list(vEBT_VEBT) ).

tff(func_def_2436,type,
    sK1971: ( vEBT_VEBT * nat * $o ) > vEBT_VEBT ).

tff(func_def_2437,type,
    sK1984: ( vEBT_VEBT * nat * $o ) > option(product_prod(nat,nat)) ).

tff(func_def_2438,type,
    sK1985: ( vEBT_VEBT * nat * $o ) > list(vEBT_VEBT) ).

tff(func_def_2439,type,
    sK1986: ( vEBT_VEBT * nat * $o ) > vEBT_VEBT ).

tff(func_def_2440,type,
    sK1987: ( vEBT_VEBT * nat * $o ) > option(product_prod(nat,nat)) ).

tff(func_def_2441,type,
    sK1988: ( vEBT_VEBT * nat * $o ) > nat ).

tff(func_def_2442,type,
    sK1989: ( vEBT_VEBT * nat * $o ) > list(vEBT_VEBT) ).

tff(func_def_2443,type,
    sK1990: ( vEBT_VEBT * nat * $o ) > vEBT_VEBT ).

tff(func_def_2444,type,
    sK2001: ( vEBT_VEBT * nat ) > option(product_prod(nat,nat)) ).

tff(func_def_2445,type,
    sK2002: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_2446,type,
    sK2003: ( vEBT_VEBT * nat ) > list(vEBT_VEBT) ).

tff(func_def_2447,type,
    sK2004: ( vEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_2448,type,
    sK2012: ( vEBT_VEBT * nat ) > option(product_prod(nat,nat)) ).

tff(func_def_2449,type,
    sK2013: ( vEBT_VEBT * nat ) > list(vEBT_VEBT) ).

tff(func_def_2450,type,
    sK2014: ( vEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_2451,type,
    sK2015: ( vEBT_VEBT * nat ) > option(product_prod(nat,nat)) ).

tff(func_def_2452,type,
    sK2016: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_2453,type,
    sK2017: ( vEBT_VEBT * nat ) > list(vEBT_VEBT) ).

tff(func_def_2454,type,
    sK2018: ( vEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_2455,type,
    sK2024: 
      !>[X0: $tType] : ( fun(X0,fun(X0,X0)) > X0 ) ).

tff(func_def_2456,type,
    sK2025: 
      !>[X0: $tType] : ( fun(X0,fun(X0,X0)) > X0 ) ).

tff(func_def_2457,type,
    sK2026: 
      !>[X0: $tType] : ( fun(X0,fun(X0,X0)) > X0 ) ).

tff(func_def_2458,type,
    sK2027: 
      !>[X0: $tType] : ( fun(X0,fun(X0,X0)) > X0 ) ).

tff(func_def_2459,type,
    sK2028: 
      !>[X0: $tType] : ( fun(X0,fun(X0,X0)) > X0 ) ).

tff(func_def_2460,type,
    sK2029: 
      !>[X0: $tType] : ( fun(X0,fun(X0,X0)) > X0 ) ).

tff(func_def_2461,type,
    sK2030: 
      !>[X0: $tType] : ( fun(X0,fun(X0,X0)) > X0 ) ).

tff(func_def_2462,type,
    sK2031: 
      !>[X0: $tType] : ( ( set(X0) * set(X0) ) > X0 ) ).

tff(func_def_2463,type,
    sK2032: 
      !>[X0: $tType] : ( ( set(X0) * set(X0) ) > X0 ) ).

tff(func_def_2464,type,
    sK2033: 
      !>[X0: $tType] : ( ( set(X0) * set(X0) ) > X0 ) ).

tff(func_def_2465,type,
    sK2034: 
      !>[X0: $tType] : ( ( set(X0) * set(X0) ) > X0 ) ).

tff(func_def_2466,type,
    sK2035: 
      !>[X0: $tType] : ( ( set(X0) * fun(X0,$o) * fun(X0,$o) ) > X0 ) ).

tff(func_def_2467,type,
    sK2038: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_2468,type,
    sK2039: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_2469,type,
    sK2040: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_2470,type,
    sK2041: ( vEBT_VEBT * nat ) > list(vEBT_VEBT) ).

tff(func_def_2471,type,
    sK2042: ( vEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_2472,type,
    sK2050: ( vEBT_VEBT * nat * $o ) > list(vEBT_VEBT) ).

tff(func_def_2473,type,
    sK2051: ( vEBT_VEBT * nat * $o ) > vEBT_VEBT ).

tff(func_def_2474,type,
    sK2052: ( vEBT_VEBT * nat * $o ) > nat ).

tff(func_def_2475,type,
    sK2053: ( vEBT_VEBT * nat * $o ) > nat ).

tff(func_def_2476,type,
    sK2054: ( vEBT_VEBT * nat * $o ) > list(vEBT_VEBT) ).

tff(func_def_2477,type,
    sK2055: ( vEBT_VEBT * nat * $o ) > vEBT_VEBT ).

tff(func_def_2478,type,
    sK2056: ( vEBT_VEBT * nat * $o ) > nat ).

tff(func_def_2479,type,
    sK2057: ( vEBT_VEBT * nat * $o ) > nat ).

tff(func_def_2480,type,
    sK2058: ( vEBT_VEBT * nat * $o ) > nat ).

tff(func_def_2481,type,
    sK2059: ( vEBT_VEBT * nat * $o ) > list(vEBT_VEBT) ).

tff(func_def_2482,type,
    sK2060: ( vEBT_VEBT * nat * $o ) > vEBT_VEBT ).

tff(func_def_2483,type,
    sK2061: ( vEBT_VEBT * nat * $o ) > nat ).

tff(func_def_2484,type,
    sK2062: ( vEBT_VEBT * nat * $o ) > list(vEBT_VEBT) ).

tff(func_def_2485,type,
    sK2063: ( vEBT_VEBT * nat * $o ) > vEBT_VEBT ).

tff(func_def_2486,type,
    sK2074: ( vEBT_VEBT * nat ) > list(vEBT_VEBT) ).

tff(func_def_2487,type,
    sK2075: ( vEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_2488,type,
    sK2076: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_2489,type,
    sK2077: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_2490,type,
    sK2078: ( vEBT_VEBT * nat ) > list(vEBT_VEBT) ).

tff(func_def_2491,type,
    sK2079: ( vEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_2492,type,
    sK2080: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_2493,type,
    sK2081: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_2494,type,
    sK2082: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_2495,type,
    sK2083: ( vEBT_VEBT * nat ) > list(vEBT_VEBT) ).

tff(func_def_2496,type,
    sK2084: ( vEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_2497,type,
    sK2085: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_2498,type,
    sK2086: ( vEBT_VEBT * nat ) > list(vEBT_VEBT) ).

tff(func_def_2499,type,
    sK2087: ( vEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_2500,type,
    sK2094: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_2501,type,
    sK2095: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_2502,type,
    sK2096: ( vEBT_VEBT * nat ) > list(vEBT_VEBT) ).

tff(func_def_2503,type,
    sK2097: ( vEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_2504,type,
    sK2098: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_2505,type,
    sK2099: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_2506,type,
    sK2100: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_2507,type,
    sK2101: ( vEBT_VEBT * nat ) > list(vEBT_VEBT) ).

tff(func_def_2508,type,
    sK2102: ( vEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_2509,type,
    sK2103: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_2510,type,
    sK2104: ( vEBT_VEBT * nat ) > list(vEBT_VEBT) ).

tff(func_def_2511,type,
    sK2105: ( vEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_2512,type,
    sK2107: ( fun(nat,$o) * nat ) > nat ).

tff(func_def_2513,type,
    sK2108: fun(nat,$o) > nat ).

tff(func_def_2514,type,
    sK2109: 
      !>[X0: $tType] : ( product_prod(fun(nat,fun(X0,X0)),product_prod(nat,product_prod(nat,X0))) > fun(nat,fun(X0,X0)) ) ).

tff(func_def_2515,type,
    sK2110: 
      !>[X0: $tType] : ( product_prod(fun(nat,fun(X0,X0)),product_prod(nat,product_prod(nat,X0))) > nat ) ).

tff(func_def_2516,type,
    sK2111: 
      !>[X0: $tType] : ( product_prod(fun(nat,fun(X0,X0)),product_prod(nat,product_prod(nat,X0))) > nat ) ).

tff(func_def_2517,type,
    sK2112: 
      !>[X0: $tType] : ( product_prod(fun(nat,fun(X0,X0)),product_prod(nat,product_prod(nat,X0))) > X0 ) ).

tff(func_def_2518,type,
    sK2113: 
      !>[X0: $tType] : ( ( X0 * X0 * X0 ) > X0 ) ).

tff(func_def_2519,type,
    sK2114: ( fun(nat,$o) * nat ) > nat ).

tff(func_def_2520,type,
    sK2115: ( nat * nat * nat ) > nat ).

tff(func_def_2521,type,
    sK2116: ( nat * nat * nat ) > nat ).

tff(func_def_2522,type,
    sK2117: ( nat * nat * nat ) > nat ).

tff(func_def_2523,type,
    sK2118: ( nat * nat * nat ) > nat ).

tff(func_def_2524,type,
    sK2119: ( nat * nat * nat ) > nat ).

tff(func_def_2525,type,
    sK2120: ( fun(nat,$o) * nat * nat ) > nat ).

tff(func_def_2526,type,
    sK2121: ( fun(nat,$o) * nat * nat ) > nat ).

tff(func_def_2527,type,
    sK2122: ( nat * set(nat) ) > nat ).

tff(func_def_2528,type,
    sK2123: ( nat * set(nat) ) > nat ).

tff(func_def_2529,type,
    sK2124: ( set(nat) * nat ) > nat ).

tff(func_def_2530,type,
    sK2125: ( set(nat) * nat ) > nat ).

tff(func_def_2531,type,
    sK2126: set(nat) > nat ).

tff(func_def_2532,type,
    sK2127: ( set(nat) * nat ) > nat ).

tff(func_def_2533,type,
    sK2128: 
      !>[X0: $tType] : ( set(X0) > list(X0) ) ).

tff(func_def_2534,type,
    sK2129: fun(nat,nat) > nat ).

tff(func_def_2535,type,
    sK2130: 
      !>[X0: $tType] : ( ( set(X0) * fun(set(X0),$o) ) > set(X0) ) ).

tff(func_def_2536,type,
    sK2131: 
      !>[X0: $tType] : ( ( fun(set(X0),$o) * set(X0) ) > set(X0) ) ).

tff(func_def_2537,type,
    sK2132: 
      !>[X0: $tType] : ( ( set(X0) * fun(set(X0),$o) ) > set(X0) ) ).

tff(func_def_2538,type,
    sK2133: 
      !>[X0: $tType] : ( set(list(X0)) > nat ) ).

tff(func_def_2539,type,
    sK2134: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_2540,type,
    sK2135: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_2541,type,
    sK2136: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_2542,type,
    sK2137: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_2543,type,
    sK2138: 
      !>[X0: $tType] : ( fun(set(X0),$o) > set(X0) ) ).

tff(func_def_2544,type,
    sK2139: 
      !>[X0: $tType] : ( fun(set(X0),$o) > X0 ) ).

tff(func_def_2545,type,
    sK2140: 
      !>[X0: $tType] : ( fun(set(X0),$o) > set(X0) ) ).

tff(func_def_2546,type,
    sK2141: 
      !>[X0: $tType] : ( fun(set(X0),$o) > X0 ) ).

tff(func_def_2547,type,
    sK2142: 
      !>[X0: $tType] : ( fun(set(X0),$o) > X0 ) ).

tff(func_def_2548,type,
    sK2143: 
      !>[X0: $tType] : ( fun(set(X0),$o) > set(X0) ) ).

tff(func_def_2549,type,
    sK2144: 
      !>[X0: $tType] : ( fun(set(X0),$o) > X0 ) ).

tff(func_def_2550,type,
    sK2145: 
      !>[X0: $tType] : ( fun(set(X0),$o) > set(X0) ) ).

tff(func_def_2551,type,
    sK2146: 
      !>[X0: $tType] : ( set(X0) > set(X0) ) ).

tff(func_def_2552,type,
    sK2147: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_2553,type,
    sK2148: 
      !>[X0: $tType] : ( set(X0) > set(X0) ) ).

tff(func_def_2554,type,
    sK2149: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_2555,type,
    sK2150: 
      !>[X0: $tType] : ( ( set(X0) * fun(set(X0),$o) ) > X0 ) ).

tff(func_def_2556,type,
    sK2151: 
      !>[X0: $tType] : ( ( set(X0) * fun(set(X0),$o) ) > set(X0) ) ).

tff(func_def_2557,type,
    sK2152: 
      !>[X0: $tType] : ( ( set(X0) * fun(set(X0),$o) ) > X0 ) ).

tff(func_def_2558,type,
    sK2153: 
      !>[X0: $tType] : ( ( set(X0) * fun(set(X0),$o) ) > set(X0) ) ).

tff(func_def_2559,type,
    sK2154: 
      !>[X0: $tType] : ( fun(set(X0),$o) > X0 ) ).

tff(func_def_2560,type,
    sK2155: 
      !>[X0: $tType] : ( fun(set(X0),$o) > set(X0) ) ).

tff(func_def_2561,type,
    sK2156: 
      !>[X0: $tType] : ( fun(set(X0),$o) > set(X0) ) ).

tff(func_def_2562,type,
    sK2157: 
      !>[X0: $tType] : ( fun(set(X0),$o) > X0 ) ).

tff(func_def_2563,type,
    sK2158: 
      !>[X0: $tType] : ( fun(set(X0),$o) > set(X0) ) ).

tff(func_def_2564,type,
    sK2159: 
      !>[X0: $tType] : ( fun(set(X0),$o) > X0 ) ).

tff(func_def_2565,type,
    sK2160: 
      !>[X0: $tType] : ( fun(set(X0),$o) > set(X0) ) ).

tff(func_def_2566,type,
    sK2161: 
      !>[X0: $tType,X1: $tType] : ( ( fun(set(X1),$o) * fun(X1,X0) ) > X1 ) ).

tff(func_def_2567,type,
    sK2162: 
      !>[X0: $tType,X1: $tType] : ( ( fun(set(X1),$o) * fun(X1,X0) ) > set(X1) ) ).

tff(func_def_2568,type,
    sK2163: 
      !>[X0: $tType] : ( ( fun(X0,$o) * fun(X0,nat) ) > X0 ) ).

tff(func_def_2569,type,
    sK2164: 
      !>[X0: $tType] : ( ( fun(X0,$o) * fun(X0,nat) * nat ) > X0 ) ).

tff(func_def_2570,type,
    sK2165: 
      !>[X0: $tType] : ( ( fun(X0,$o) * fun(X0,nat) ) > X0 ) ).

tff(func_def_2571,type,
    sK2166: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_2572,type,
    sK2167: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_2573,type,
    sK2168: 
      !>[X0: $tType] : ( ( fun(X0,$o) * fun(X0,nat) ) > X0 ) ).

tff(func_def_2574,type,
    sK2169: 
      !>[X0: $tType] : ( ( fun(X0,$o) * X0 * fun(X0,nat) * nat ) > X0 ) ).

tff(func_def_2575,type,
    sK2170: 
      !>[X0: $tType] : ( X0 > X0 ) ).

tff(func_def_2576,type,
    sK2171: 
      !>[X0: $tType] : ( X0 > X0 ) ).

tff(func_def_2577,type,
    sK2172: 
      !>[X0: $tType] : ( ( fun(X0,$o) * X0 ) > X0 ) ).

tff(func_def_2578,type,
    sK2173: 
      !>[X0: $tType] : ( ( fun(X0,$o) * X0 ) > X0 ) ).

tff(func_def_2579,type,
    sK2174: ( nat * vEBT_VEBT ) > nat ).

tff(func_def_2580,type,
    sK2175: 
      !>[X0: $tType] : ( ( nat * X0 * fun(X0,$o) ) > X0 ) ).

tff(func_def_2581,type,
    sK2176: 
      !>[X0: $tType] : ( ( nat * X0 * fun(X0,$o) ) > X0 ) ).

tff(func_def_2582,type,
    sK2177: 
      !>[X0: $tType] : ( ( list(X0) * X0 ) > X0 ) ).

tff(func_def_2583,type,
    sK2178: 
      !>[X0: $tType] : ( ( list(X0) * X0 ) > X0 ) ).

tff(func_def_2584,type,
    sK2179: 
      !>[X0: $tType] : ( X0 > X0 ) ).

tff(func_def_2585,type,
    sK2180: 
      !>[X0: $tType] : ( X0 > X0 ) ).

tff(func_def_2586,type,
    sK2181: 
      !>[X0: $tType] : ( X0 > X0 ) ).

tff(func_def_2587,type,
    sK2182: 
      !>[X0: $tType] : ( X0 > X0 ) ).

tff(func_def_2588,type,
    sK2183: fun(nat,fun(nat,$o)) > nat ).

tff(func_def_2589,type,
    sK2184: fun(nat,fun(nat,$o)) > nat ).

tff(func_def_2590,type,
    sK2185: fun(nat,fun(nat,$o)) > nat ).

tff(func_def_2591,type,
    sK2186: fun(nat,fun(nat,$o)) > nat ).

tff(func_def_2592,type,
    sK2187: fun(nat,fun(nat,$o)) > nat ).

tff(func_def_2593,type,
    sK2188: ( nat * nat * nat ) > nat ).

tff(func_def_2594,type,
    sK2189: ( nat * nat * nat ) > nat ).

tff(func_def_2595,type,
    sK2190: ( nat * nat ) > nat ).

tff(func_def_2596,type,
    sK2191: ( nat * nat ) > nat ).

tff(func_def_2597,type,
    sK2192: ( nat * nat ) > nat ).

tff(func_def_2598,type,
    sK2193: 
      !>[X0: $tType] : ( ( X0 * X0 ) > X0 ) ).

tff(func_def_2599,type,
    sK2194: 
      !>[X0: $tType] : ( ( X0 * X0 ) > X0 ) ).

tff(func_def_2600,type,
    sK2195: 
      !>[X0: $tType] : ( ( X0 * X0 ) > X0 ) ).

tff(func_def_2601,type,
    sK2196: 
      !>[X0: $tType] : ( ( X0 * X0 ) > X0 ) ).

tff(func_def_2602,type,
    sK2197: ( nat * nat ) > nat ).

tff(func_def_2603,type,
    sK2198: ( nat * nat ) > nat ).

tff(func_def_2604,type,
    sK2199: ( nat * nat ) > nat ).

tff(func_def_2605,type,
    sK2201: ( nat * vEBT_VEBT ) > nat ).

tff(func_def_2606,type,
    sK2204: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( fun(X1,$o) * fun(X0,fun(X2,X1)) * product_prod(X0,X2) ) > X0 ) ).

tff(func_def_2607,type,
    sK2205: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( fun(X1,$o) * fun(X0,fun(X2,X1)) * product_prod(X0,X2) ) > X2 ) ).

tff(func_def_2608,type,
    sK2206: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( fun(X2,fun(X1,X0)) * fun(product_prod(X2,X1),X0) ) > X2 ) ).

tff(func_def_2609,type,
    sK2207: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( fun(X2,fun(X1,X0)) * fun(product_prod(X2,X1),X0) ) > X1 ) ).

tff(func_def_2610,type,
    sK2208: num > num ).

tff(func_def_2611,type,
    sK2209: num > num ).

tff(func_def_2612,type,
    sK2210: product_prod(num,num) > num ).

tff(func_def_2613,type,
    sK2211: product_prod(num,num) > num ).

tff(func_def_2614,type,
    sK2212: product_prod(num,num) > num ).

tff(func_def_2615,type,
    sK2213: product_prod(num,num) > num ).

tff(func_def_2616,type,
    sK2214: product_prod(num,num) > num ).

tff(func_def_2617,type,
    sK2215: product_prod(num,num) > num ).

tff(func_def_2618,type,
    sK2216: product_prod(num,num) > num ).

tff(func_def_2619,type,
    sK2217: product_prod(num,num) > num ).

tff(func_def_2620,type,
    sK2218: product_prod(num,num) > num ).

tff(func_def_2621,type,
    sK2219: product_prod(num,num) > num ).

tff(func_def_2622,type,
    sK2220: product_prod(num,num) > num ).

tff(func_def_2623,type,
    sK2221: product_prod(num,num) > num ).

tff(func_def_2624,type,
    sK2222: 
      !>[X0: $tType] : ( fun(X0,$o) > X0 ) ).

tff(func_def_2625,type,
    sK2223: 
      !>[X0: $tType] : ( fun(X0,$o) > X0 ) ).

tff(func_def_2626,type,
    sK2225: fun(int,$o) > int ).

tff(func_def_2627,type,
    sK2226: fun(int,$o) > int ).

tff(func_def_2628,type,
    sK2227: 
      !>[X0: $tType,X1: $tType] : ( ( product_prod(X1,X0) * fun(X1,fun(X0,$o)) ) > X1 ) ).

tff(func_def_2629,type,
    sK2228: 
      !>[X0: $tType,X1: $tType] : ( ( product_prod(X1,X0) * fun(X1,fun(X0,$o)) ) > X0 ) ).

tff(func_def_2630,type,
    sK2229: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( product_prod(X2,X1) * X0 * fun(X2,fun(X1,set(X0))) ) > X2 ) ).

tff(func_def_2631,type,
    sK2230: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( product_prod(X2,X1) * X0 * fun(X2,fun(X1,set(X0))) ) > X1 ) ).

tff(func_def_2632,type,
    sK2231: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( product_prod(X0,X1) * fun(X0,fun(X1,fun(X2,$o))) * X2 ) > X0 ) ).

tff(func_def_2633,type,
    sK2232: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( product_prod(X0,X1) * fun(X0,fun(X1,fun(X2,$o))) * X2 ) > X1 ) ).

tff(func_def_2634,type,
    sK2233: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( X1 * fun(X0,fun(X2,set(X1))) * product_prod(X0,X2) ) > X0 ) ).

tff(func_def_2635,type,
    sK2234: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( X1 * fun(X0,fun(X2,set(X1))) * product_prod(X0,X2) ) > X2 ) ).

tff(func_def_2636,type,
    sK2235: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,fun(X1,$o)) * product_prod(X0,X1) ) > X0 ) ).

tff(func_def_2637,type,
    sK2236: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,fun(X1,$o)) * product_prod(X0,X1) ) > X1 ) ).

tff(func_def_2638,type,
    sK2237: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( fun(X1,fun(X0,fun(X2,$o))) * product_prod(X1,X0) * X2 ) > X1 ) ).

tff(func_def_2639,type,
    sK2238: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( fun(X1,fun(X0,fun(X2,$o))) * product_prod(X1,X0) * X2 ) > X0 ) ).

tff(func_def_2640,type,
    sK2239: fun(num,$o) > num ).

tff(func_def_2641,type,
    sK2240: 
      !>[X0: $tType] : ( X0 > X0 ) ).

tff(func_def_2642,type,
    sK2241: 
      !>[X0: $tType] : ( fun(X0,fun(X0,$o)) > X0 ) ).

tff(func_def_2643,type,
    sK2242: ( nat * nat * fun(nat,int) ) > nat ).

tff(func_def_2644,type,
    sK2243: ( nat * nat * fun(nat,int) * int ) > nat ).

tff(func_def_2645,type,
    sK2244: ( nat * fun(nat,int) ) > nat ).

tff(func_def_2646,type,
    sK2245: ( nat * fun(nat,int) * int ) > nat ).

tff(func_def_2647,type,
    sK2246: ( nat * fun(nat,int) ) > nat ).

tff(func_def_2648,type,
    sK2247: ( nat * fun(nat,int) * int ) > nat ).

tff(func_def_2649,type,
    sK2248: 
      !>[X0: $tType] : ( ( X0 * X0 ) > nat ) ).

tff(func_def_2650,type,
    sK2249: 
      !>[X0: $tType] : ( X0 > nat ) ).

tff(func_def_2651,type,
    sK2250: int > nat ).

tff(func_def_2652,type,
    sK2251: 
      !>[X0: $tType] : ( X0 > nat ) ).

tff(func_def_2653,type,
    sK2252: fun(int,fun(int,$o)) > int ).

tff(func_def_2654,type,
    sK2253: fun(int,fun(int,$o)) > int ).

tff(func_def_2655,type,
    sK2254: 
      !>[X0: $tType] : ( X0 > int ) ).

tff(func_def_2656,type,
    sK2255: 
      !>[X0: $tType] : ( X0 > int ) ).

tff(func_def_2657,type,
    sK2256: fun(int,fun(int,$o)) > int ).

tff(func_def_2658,type,
    sK2257: fun(int,fun(int,$o)) > int ).

tff(func_def_2659,type,
    sK2258: 
      !>[X0: $tType] : ( ( X0 * X0 ) > nat ) ).

tff(func_def_2660,type,
    sK2259: fun(nat,$o) > nat ).

tff(func_def_2661,type,
    sK2260: 
      !>[X0: $tType] : ( X0 > int ) ).

tff(func_def_2662,type,
    sK2267: ( num * num ) > num ).

tff(func_def_2663,type,
    sK2268: ( num * num ) > num ).

tff(func_def_2664,type,
    sK2269: ( num * num * num ) > num ).

tff(func_def_2665,type,
    sK2270: ( num * num * num ) > num ).

tff(func_def_2666,type,
    sK2271: ( num * num * num ) > num ).

tff(func_def_2667,type,
    sK2272: ( num * num * num ) > num ).

tff(func_def_2668,type,
    sK2274: num > num ).

tff(func_def_2669,type,
    sK2275: num > num ).

tff(func_def_2670,type,
    sK2276: ( num * num * num ) > num ).

tff(func_def_2671,type,
    sK2277: ( num * num * num ) > num ).

tff(func_def_2672,type,
    sK2278: ( num * num * num ) > num ).

tff(func_def_2673,type,
    sK2279: ( num * num * num ) > num ).

tff(func_def_2674,type,
    sK2280: real > real ).

tff(func_def_2675,type,
    sK2281: real > int ).

tff(func_def_2676,type,
    sK2282: ( real * real ) > real ).

tff(func_def_2677,type,
    sK2283: ( real * real ) > real ).

tff(func_def_2678,type,
    sK2284: ( real * real ) > real ).

tff(func_def_2679,type,
    sK2285: 
      !>[X0: $tType] : ( X0 > nat ) ).

tff(func_def_2680,type,
    sK2286: real > nat ).

tff(func_def_2681,type,
    sK2287: real > nat ).

tff(func_def_2682,type,
    sK2288: real > int ).

tff(func_def_2683,type,
    sK2289: 
      !>[X0: $tType] : ( X0 > nat ) ).

tff(func_def_2684,type,
    sK2290: real > nat ).

tff(func_def_2685,type,
    sK2291: real ).

tff(func_def_2686,type,
    sK2292: real > nat ).

tff(func_def_2687,type,
    sK2293: real > nat ).

tff(func_def_2688,type,
    sK2294: real > int ).

tff(func_def_2689,type,
    sK2295: real > real ).

tff(func_def_2690,type,
    sK2296: real > real ).

tff(func_def_2691,type,
    sK2297: real > real ).

tff(func_def_2692,type,
    sK2298: real > real ).

tff(func_def_2693,type,
    sK2299: real > real ).

tff(func_def_2694,type,
    sK2300: real > int ).

tff(func_def_2695,type,
    sK2301: ( real * real ) > real ).

tff(func_def_2696,type,
    sK2302: real > nat ).

tff(func_def_2697,type,
    sK2303: real > nat ).

tff(func_def_2698,type,
    sK2304: real > nat ).

tff(func_def_2699,type,
    sK2305: fun(int,$o) > nat ).

tff(func_def_2700,type,
    sK2306: fun(int,$o) > nat ).

tff(func_def_2701,type,
    sK2307: int > nat ).

tff(func_def_2702,type,
    sK2308: int > nat ).

tff(func_def_2703,type,
    sK2309: ( int * int ) > nat ).

tff(func_def_2704,type,
    sK2310: 
      !>[X0: $tType,X1: $tType] : ( fun(X0,X1) > real ) ).

tff(func_def_2705,type,
    sK2311: 
      !>[X0: $tType,X1: $tType] : ( fun(X0,X1) > nat ) ).

tff(func_def_2706,type,
    sK2312: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * nat ) > X0 ) ).

tff(func_def_2707,type,
    sK2313: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * real ) > X0 ) ).

tff(func_def_2708,type,
    sK2314: 
      !>[X0: $tType,X1: $tType] : ( fun(X0,X1) > real ) ).

tff(func_def_2709,type,
    sK2315: 
      !>[X0: $tType,X1: $tType] : ( fun(X0,X1) > nat ) ).

tff(func_def_2710,type,
    sK2316: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * nat ) > X0 ) ).

tff(func_def_2711,type,
    sK2317: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * real ) > X0 ) ).

tff(func_def_2712,type,
    sK2318: int > nat ).

tff(func_def_2713,type,
    sK2319: 
      !>[X0: $tType] : ( ( fun(nat,X0) * fun(nat,real) * nat ) > nat ) ).

tff(func_def_2714,type,
    sK2320: 
      !>[X0: $tType] : ( ( fun(nat,real) * nat * fun(nat,X0) ) > nat ) ).

tff(func_def_2715,type,
    sK2321: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,X0) * fun(X1,X0) ) > X1 ) ).

tff(func_def_2716,type,
    sK2322: 
      !>[X0: $tType] : ( ( fun(nat,X0) * set(nat) ) > nat ) ).

tff(func_def_2717,type,
    sK2323: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,X1) ) > X0 ) ).

tff(func_def_2718,type,
    sK2324: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_2719,type,
    sK2325: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_2720,type,
    sK2326: 
      !>[X0: $tType] : ( ( fun(nat,X0) * fun(nat,X0) ) > nat ) ).

tff(func_def_2721,type,
    sK2327: 
      !>[X0: $tType] : ( ( set(nat) * fun(nat,X0) * fun(nat,X0) ) > nat ) ).

tff(func_def_2722,type,
    sK2328: 
      !>[X0: $tType] : ( ( fun(nat,X0) * real ) > nat ) ).

tff(func_def_2723,type,
    sK2329: 
      !>[X0: $tType] : ( fun(nat,X0) > nat ) ).

tff(func_def_2724,type,
    sK2330: 
      !>[X0: $tType] : ( fun(nat,X0) > nat ) ).

tff(func_def_2725,type,
    sK2331: 
      !>[X0: $tType] : ( fun(nat,X0) > nat ) ).

tff(func_def_2726,type,
    sK2332: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,X1) ) > X0 ) ).

tff(func_def_2727,type,
    sK2333: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,X1) ) > X0 ) ).

tff(func_def_2728,type,
    sK2334: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_2729,type,
    sK2335: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( set(X0) * set(X2) * fun(X2,X1) * fun(X2,X0) * fun(X0,X1) ) > X0 ) ).

tff(func_def_2730,type,
    sK2336: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,X0) * fun(X1,X0) ) > X1 ) ).

tff(func_def_2731,type,
    sK2337: 
      !>[X0: $tType] : ( fun(X0,fun(X0,$o)) > X0 ) ).

tff(func_def_2732,type,
    sK2338: 
      !>[X0: $tType] : ( fun(X0,fun(X0,$o)) > X0 ) ).

tff(func_def_2733,type,
    sK2339: 
      !>[X0: $tType] : ( fun(X0,fun(X0,$o)) > X0 ) ).

tff(func_def_2734,type,
    sK2340: 
      !>[X0: $tType] : ( fun(X0,fun(X0,$o)) > X0 ) ).

tff(func_def_2735,type,
    sK2341: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,fun(X0,$o)) * set(X1) * fun(X1,X0) * fun(X1,X0) ) > X1 ) ).

tff(func_def_2736,type,
    sK2342: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,X0) * fun(X1,X0) ) > X1 ) ).

tff(func_def_2737,type,
    sK2343: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,X1) ) > X0 ) ).

tff(func_def_2738,type,
    sK2344: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,X1) ) > X0 ) ).

tff(func_def_2739,type,
    sK2345: 
      !>[X0: $tType] : ( ( fun(nat,X0) * fun(nat,real) * nat ) > nat ) ).

tff(func_def_2740,type,
    sK2346: ( fun(nat,real) * fun(nat,real) * nat ) > nat ).

tff(func_def_2741,type,
    sK2347: 
      !>[X0: $tType] : ( fun(nat,X0) > nat ) ).

tff(func_def_2742,type,
    sK2348: 
      !>[X0: $tType] : ( fun(nat,X0) > nat ) ).

tff(func_def_2743,type,
    sK2349: 
      !>[X0: $tType] : ( fun(nat,X0) > nat ) ).

tff(func_def_2744,type,
    sK2350: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_2745,type,
    sK2351: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_2746,type,
    sK2352: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_2747,type,
    sK2353: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,X0) * fun(X1,X0) ) > X1 ) ).

tff(func_def_2748,type,
    sK2354: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_2749,type,
    sK2355: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,X0) * fun(X1,X0) ) > X1 ) ).

tff(func_def_2750,type,
    sK2356: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_2751,type,
    sK2357: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_2752,type,
    sK2358: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_2753,type,
    sK2359: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_2754,type,
    sK2360: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_2755,type,
    sK2361: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_2756,type,
    sK2362: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_2757,type,
    sK2363: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_2758,type,
    sK2364: 
      !>[X0: $tType] : ( ( fun(int,$o) * X0 ) > int ) ).

tff(func_def_2759,type,
    sK2365: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_2760,type,
    sK2366: 
      !>[X0: $tType,X1: $tType] : ( ( X1 * set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_2761,type,
    sK2367: 
      !>[X0: $tType] : ( ( real * fun(nat,X0) ) > nat ) ).

tff(func_def_2762,type,
    sK2368: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,X1) ) > X0 ) ).

tff(func_def_2763,type,
    sK2369: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,X1) * X1 * X1 ) > X0 ) ).

tff(func_def_2764,type,
    sK2370: fun(nat,real) > nat ).

tff(func_def_2765,type,
    sK2371: fun(nat,real) > nat ).

tff(func_def_2766,type,
    sK2372: 
      !>[X0: $tType] : ( ( real * fun(nat,X0) * real ) > nat ) ).

tff(func_def_2767,type,
    sK2373: 
      !>[X0: $tType] : ( ( real * nat * fun(nat,X0) ) > nat ) ).

tff(func_def_2768,type,
    sK2374: 
      !>[X0: $tType] : ( fun(nat,X0) > nat ) ).

tff(func_def_2769,type,
    sK2375: 
      !>[X0: $tType] : ( fun(nat,X0) > nat ) ).

tff(func_def_2770,type,
    sK2376: 
      !>[X0: $tType] : ( fun(nat,X0) > nat ) ).

tff(func_def_2771,type,
    sK2377: 
      !>[X0: $tType] : ( fun(nat,X0) > nat ) ).

tff(func_def_2772,type,
    sK2378: 
      !>[X0: $tType] : ( fun(nat,X0) > nat ) ).

tff(func_def_2773,type,
    sK2379: 
      !>[X0: $tType] : ( fun(nat,X0) > nat ) ).

tff(func_def_2774,type,
    sK2380: 
      !>[X0: $tType] : ( ( fun(nat,X0) * fun(nat,X0) ) > nat ) ).

tff(func_def_2775,type,
    sK2381: 
      !>[X0: $tType] : ( ( fun(X0,nat) * fun(X0,nat) ) > X0 ) ).

tff(func_def_2776,type,
    sK2382: 
      !>[X0: $tType] : ( ( set(X0) * fun(X0,nat) * fun(X0,nat) ) > X0 ) ).

tff(func_def_2777,type,
    sK2383: 
      !>[X0: $tType] : ( ( set(X0) * fun(X0,nat) ) > X0 ) ).

tff(func_def_2778,type,
    sK2384: 
      !>[X0: $tType] : ( ( set(X0) * fun(X0,nat) * X0 ) > X0 ) ).

tff(func_def_2779,type,
    sK2385: 
      !>[X0: $tType] : ( ( fun(X0,nat) * set(X0) ) > X0 ) ).

tff(func_def_2780,type,
    sK2386: 
      !>[X0: $tType] : ( ( nat * fun(nat,X0) ) > nat ) ).

tff(func_def_2781,type,
    sK2387: 
      !>[X0: $tType] : ( ( fun(nat,X0) * X0 ) > nat ) ).

tff(func_def_2782,type,
    sK2388: 
      !>[X0: $tType] : ( fun(nat,X0) > nat ) ).

tff(func_def_2783,type,
    sK2389: 
      !>[X0: $tType] : ( ( fun(nat,X0) * X0 ) > nat ) ).

tff(func_def_2784,type,
    sK2390: 
      !>[X0: $tType] : ( ( fun(nat,X0) * nat ) > nat ) ).

tff(func_def_2785,type,
    sK2391: 
      !>[X0: $tType] : ( ( nat * fun(nat,X0) * X0 ) > nat ) ).

tff(func_def_2786,type,
    sK2392: 
      !>[X0: $tType] : ( ( fun(nat,X0) * nat ) > nat ) ).

tff(func_def_2787,type,
    sK2393: ( fun(nat,real) * nat ) > nat ).

tff(func_def_2788,type,
    sK2394: 
      !>[X0: $tType] : ( fun(nat,X0) > nat ) ).

tff(func_def_2789,type,
    sK2395: 
      !>[X0: $tType] : ( fun(nat,X0) > nat ) ).

tff(func_def_2790,type,
    sK2396: 
      !>[X0: $tType] : ( fun(nat,X0) > nat ) ).

tff(func_def_2791,type,
    sK2397: 
      !>[X0: $tType] : ( fun(nat,X0) > nat ) ).

tff(func_def_2792,type,
    sK2398: 
      !>[X0: $tType] : ( fun(nat,X0) > nat ) ).

tff(func_def_2793,type,
    sK2399: 
      !>[X0: $tType] : ( fun(nat,X0) > nat ) ).

tff(func_def_2794,type,
    sK2400: set(nat) > nat ).

tff(func_def_2795,type,
    sK2401: set(nat) > nat ).

tff(func_def_2796,type,
    sK2402: 
      !>[X0: $tType] : ( fun(nat,X0) > X0 ) ).

tff(func_def_2797,type,
    sK2403: 
      !>[X0: $tType] : ( fun(X0,fun(X0,$o)) > X0 ) ).

tff(func_def_2798,type,
    sK2404: 
      !>[X0: $tType] : ( fun(X0,fun(X0,$o)) > X0 ) ).

tff(func_def_2799,type,
    sK2405: 
      !>[X0: $tType] : ( fun(X0,fun(X0,$o)) > X0 ) ).

tff(func_def_2800,type,
    sK2406: 
      !>[X0: $tType] : ( fun(X0,fun(X0,$o)) > X0 ) ).

tff(func_def_2801,type,
    sK2407: 
      !>[X0: $tType] : ( ( set(X0) * fun(X0,fun(X0,$o)) ) > X0 ) ).

tff(func_def_2802,type,
    sK2408: 
      !>[X0: $tType] : ( ( real * fun(nat,X0) ) > X0 ) ).

tff(func_def_2803,type,
    sK2409: set(nat) > nat ).

tff(func_def_2804,type,
    sK2410: ( set(nat) * nat ) > nat ).

tff(func_def_2805,type,
    sK2411: ( real * nat ) > real ).

tff(func_def_2806,type,
    sK2412: ( nat * real ) > real ).

tff(func_def_2807,type,
    sK2413: ( real * nat ) > real ).

tff(func_def_2808,type,
    sK2414: ( real * fun(real,real) * fun(nat,real) * nat ) > real ).

tff(func_def_2809,type,
    sK2415: ( real * nat ) > real ).

tff(func_def_2810,type,
    sK2416: ( real * nat ) > real ).

tff(func_def_2811,type,
    sK2417: ( nat * real ) > real ).

tff(func_def_2812,type,
    sK2418: ( real * nat ) > real ).

tff(func_def_2813,type,
    sK2419: ( real * nat ) > real ).

tff(func_def_2814,type,
    sK2420: ( real * nat ) > real ).

tff(func_def_2815,type,
    sK2421: 
      !>[X0: $tType] : ( ( fun(int,$o) * X0 ) > int ) ).

tff(func_def_2816,type,
    sK2422: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_2817,type,
    sK2423: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,X0) * fun(X1,X0) ) > X1 ) ).

tff(func_def_2818,type,
    sK2424: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_2819,type,
    sK2425: set(nat) > nat ).

tff(func_def_2820,type,
    sK2426: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,X1) ) > X0 ) ).

tff(func_def_2821,type,
    sK2427: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,X0) * fun(X1,X0) ) > X1 ) ).

tff(func_def_2822,type,
    sK2428: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_2823,type,
    sK2429: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_2824,type,
    sK2430: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_2825,type,
    sK2431: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,X0) * fun(X1,X0) ) > X1 ) ).

tff(func_def_2826,type,
    sK2432: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_2827,type,
    sK2433: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,X0) * fun(X1,X0) ) > X1 ) ).

tff(func_def_2828,type,
    sK2434: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_2829,type,
    sK2435: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_2830,type,
    sK2436: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_2831,type,
    sK2437: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_2832,type,
    sK2438: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_2833,type,
    sK2439: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_2834,type,
    sK2440: 
      !>[X0: $tType] : ( ( fun(nat,X0) * nat * fun(nat,X0) ) > X0 ) ).

tff(func_def_2835,type,
    sK2441: 
      !>[X0: $tType] : ( ( fun(nat,X0) * nat * fun(nat,X0) ) > nat ) ).

tff(func_def_2836,type,
    sK2442: 
      !>[X0: $tType] : ( fun(nat,X0) > nat ) ).

tff(func_def_2837,type,
    sK2443: 
      !>[X0: $tType] : ( ( fun(nat,X0) * X0 ) > nat ) ).

tff(func_def_2838,type,
    sK2444: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,X0) * fun(X1,X0) ) > X1 ) ).

tff(func_def_2839,type,
    sK2445: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_2840,type,
    sK2446: 
      !>[X0: $tType] : ( ( fun(nat,X0) * nat ) > X0 ) ).

tff(func_def_2841,type,
    sK2447: 
      !>[X0: $tType] : ( ( fun(nat,X0) * nat ) > X0 ) ).

tff(func_def_2842,type,
    sK2448: 
      !>[X0: $tType] : ( ( fun(nat,X0) * nat ) > nat ) ).

tff(func_def_2843,type,
    sK2449: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_2844,type,
    sK2450: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_2845,type,
    sK2451: 
      !>[X0: $tType] : ( ( fun(nat,X0) * nat ) > nat ) ).

tff(func_def_2846,type,
    sK2452: 
      !>[X0: $tType] : ( ( fun(nat,X0) * X0 * nat ) > fun(nat,X0) ) ).

tff(func_def_2847,type,
    sK2453: 
      !>[X0: $tType] : ( ( fun(nat,X0) * nat * X0 ) > fun(nat,X0) ) ).

tff(func_def_2848,type,
    sK2454: 
      !>[X0: $tType] : ( ( nat * fun(nat,X0) ) > nat ) ).

tff(func_def_2849,type,
    sK2455: 
      !>[X0: $tType] : ( ( nat * fun(nat,X0) ) > nat ) ).

tff(func_def_2850,type,
    sK2456: 
      !>[X0: $tType] : ( ( fun(nat,X0) * nat * X0 ) > X0 ) ).

tff(func_def_2851,type,
    sK2457: 
      !>[X0: $tType] : ( ( fun(nat,X0) * nat ) > nat ) ).

tff(func_def_2852,type,
    sK2458: ( nat * fun(nat,nat) ) > nat ).

tff(func_def_2853,type,
    sK2459: ( nat * fun(nat,nat) ) > nat ).

tff(func_def_2854,type,
    sK2460: 
      !>[X0: $tType] : ( ( real * fun(nat,X0) * nat ) > real ) ).

tff(func_def_2855,type,
    sK2461: 
      !>[X0: $tType] : ( X0 > nat ) ).

tff(func_def_2856,type,
    sK2462: fun(real,$o) > real ).

tff(func_def_2857,type,
    sK2463: fun(real,$o) > real ).

tff(func_def_2858,type,
    sK2464: fun(real,$o) > nat ).

tff(func_def_2859,type,
    sK2465: complex > real ).

tff(func_def_2860,type,
    sK2466: ( int * int * product_prod(int,int) ) > int ).

tff(func_def_2861,type,
    sK2467: ( int * int * product_prod(int,int) ) > int ).

tff(func_def_2862,type,
    sK2468: ( int * int * product_prod(int,int) ) > int ).

tff(func_def_2863,type,
    sK2469: ( int * int * product_prod(int,int) ) > int ).

tff(func_def_2864,type,
    sK2470: ( int * int * product_prod(int,int) ) > int ).

tff(func_def_2865,type,
    sK2471: ( int * int * product_prod(int,int) ) > int ).

tff(func_def_2866,type,
    sK2472: ( int * int * product_prod(int,int) ) > int ).

tff(func_def_2867,type,
    sK2473: ( int * int * product_prod(int,int) ) > int ).

tff(func_def_2868,type,
    sK2475: ( int * int * product_prod(int,int) ) > int ).

tff(func_def_2869,type,
    sK2476: ( int * int * product_prod(int,int) ) > int ).

tff(func_def_2870,type,
    sK2477: ( int * int * product_prod(int,int) ) > int ).

tff(func_def_2871,type,
    sK2478: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > fun(X0,X0) ) ).

tff(func_def_2872,type,
    sK2479: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > fun(X0,X0) ) ).

tff(func_def_2873,type,
    sK2480: 
      !>[X0: $tType] : ( ( fun(nat,fun(X0,$o)) * fun(nat,fun(X0,fun(X0,$o))) ) > X0 ) ).

tff(func_def_2874,type,
    sK2481: 
      !>[X0: $tType] : ( ( fun(nat,fun(X0,$o)) * fun(nat,fun(X0,fun(X0,$o))) ) > nat ) ).

tff(func_def_2875,type,
    sK2482: 
      !>[X0: $tType] : ( ( fun(nat,fun(X0,$o)) * fun(nat,fun(X0,fun(X0,$o))) ) > fun(nat,X0) ) ).

tff(func_def_2876,type,
    sK2483: ( fun(real,$o) * nat * real ) > real ).

tff(func_def_2877,type,
    sK2484: 
      !>[X0: $tType,X1: $tType] : ( ( X1 * X1 * fun(X1,X0) * fun(X1,X0) ) > X1 ) ).

tff(func_def_2878,type,
    sK2485: 
      !>[X0: $tType,X1: $tType] : ( ( X1 * X1 * fun(X1,X0) * fun(X1,X0) ) > X1 ) ).

tff(func_def_2879,type,
    sK2486: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_2880,type,
    sK2487: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,X0) * fun(X1,X0) ) > X1 ) ).

tff(func_def_2881,type,
    sK2488: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_2882,type,
    sK2489: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,X0) * fun(X1,X0) ) > X1 ) ).

tff(func_def_2883,type,
    sK2490: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_2884,type,
    sK2491: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_2885,type,
    sK2492: 
      !>[X0: $tType] : ( ( nat * X0 ) > X0 ) ).

tff(func_def_2886,type,
    sK2493: 
      !>[X0: $tType] : ( fun(nat,X0) > real ) ).

tff(func_def_2887,type,
    sK2494: 
      !>[X0: $tType] : ( ( fun(nat,X0) * real ) > nat ) ).

tff(func_def_2888,type,
    sK2495: 
      !>[X0: $tType] : ( ( fun(nat,X0) * nat ) > nat ) ).

tff(func_def_2889,type,
    sK2496: 
      !>[X0: $tType] : ( ( fun(nat,X0) * nat ) > nat ) ).

tff(func_def_2890,type,
    sK2497: 
      !>[X0: $tType] : ( ( nat * fun(nat,X0) ) > nat ) ).

tff(func_def_2891,type,
    sK2498: 
      !>[X0: $tType] : ( ( nat * fun(nat,X0) ) > nat ) ).

tff(func_def_2892,type,
    sK2499: 
      !>[X0: $tType] : ( ( nat * fun(nat,X0) ) > nat ) ).

tff(func_def_2893,type,
    sK2500: 
      !>[X0: $tType] : ( ( nat * fun(nat,X0) ) > nat ) ).

tff(func_def_2894,type,
    sK2501: ( nat * fun(nat,nat) ) > nat ).

tff(func_def_2895,type,
    sK2502: ( nat * fun(nat,nat) ) > nat ).

tff(func_def_2896,type,
    sK2503: ( nat * fun(nat,nat) ) > nat ).

tff(func_def_2897,type,
    sK2504: ( nat * fun(nat,nat) ) > nat ).

tff(func_def_2898,type,
    sK2505: fun(nat,real) > nat ).

tff(func_def_2899,type,
    sK2506: ( fun(nat,real) * nat ) > nat ).

tff(func_def_2900,type,
    sK2507: ( fun(nat,real) * nat ) > nat ).

tff(func_def_2901,type,
    sK2508: ( fun(nat,real) * nat ) > nat ).

tff(func_def_2902,type,
    sK2509: 
      !>[X0: $tType] : ( fun(nat,X0) > real ) ).

tff(func_def_2903,type,
    sK2510: 
      !>[X0: $tType] : ( ( fun(nat,X0) * real ) > nat ) ).

tff(func_def_2904,type,
    sK2511: 
      !>[X0: $tType] : ( ( fun(nat,X0) * nat ) > nat ) ).

tff(func_def_2905,type,
    sK2512: 
      !>[X0: $tType] : ( ( fun(nat,X0) * nat ) > nat ) ).

tff(func_def_2906,type,
    sK2513: 
      !>[X0: $tType] : ( fun(nat,X0) > real ) ).

tff(func_def_2907,type,
    sK2514: 
      !>[X0: $tType] : ( ( fun(nat,X0) * nat ) > nat ) ).

tff(func_def_2908,type,
    sK2515: 
      !>[X0: $tType] : ( ( fun(nat,X0) * nat ) > nat ) ).

tff(func_def_2909,type,
    sK2516: 
      !>[X0: $tType] : ( ( fun(nat,X0) * real ) > nat ) ).

tff(func_def_2910,type,
    sK2517: 
      !>[X0: $tType] : ( ( list(X0) * fun(X0,nat) * fun(X0,nat) ) > X0 ) ).

tff(func_def_2911,type,
    sK2518: 
      !>[X0: $tType] : ( ( list(list(X0)) * nat ) > list(X0) ) ).

tff(func_def_2912,type,
    sK2519: fun(nat,complex) > nat ).

tff(func_def_2913,type,
    sK2520: fun(nat,complex) > nat ).

tff(func_def_2914,type,
    sK2521: 
      !>[X0: $tType] : ( ( fun(nat,complex) * nat * fun(nat,X0) ) > nat ) ).

tff(func_def_2915,type,
    sK2522: 
      !>[X0: $tType] : ( ( set(X0) * nat ) > set(X0) ) ).

tff(func_def_2916,type,
    sK2523: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * set(X0) * fun(X0,fun(X1,$o)) ) > X0 ) ).

tff(func_def_2917,type,
    sK2524: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * set(X0) * fun(X0,fun(X1,$o)) ) > X0 ) ).

tff(func_def_2918,type,
    sK2525: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * set(X0) * fun(X0,fun(X1,$o)) ) > X0 ) ).

tff(func_def_2919,type,
    sK2526: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * set(X0) * fun(X0,fun(X1,$o)) ) > X1 ) ).

tff(func_def_2920,type,
    sK2527: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_2921,type,
    sK2528: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_2922,type,
    sK2529: 
      !>[X0: $tType] : ( ( set(X0) * X0 * X0 ) > X0 ) ).

tff(func_def_2923,type,
    sK2530: 
      !>[X0: $tType] : ( ( set(X0) * nat ) > X0 ) ).

tff(func_def_2924,type,
    sK2531: 
      !>[X0: $tType] : ( ( set(X0) * nat ) > set(X0) ) ).

tff(func_def_2925,type,
    sK2532: 
      !>[X0: $tType] : ( ( nat * set(X0) ) > set(X0) ) ).

tff(func_def_2926,type,
    sK2533: 
      !>[X0: $tType] : ( ( set(X0) * nat ) > set(X0) ) ).

tff(func_def_2927,type,
    sK2534: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_2928,type,
    sK2535: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * X0 * fun(X1,X0) ) > X1 ) ).

tff(func_def_2929,type,
    sK2536: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,X1) * X1 ) > X0 ) ).

tff(func_def_2930,type,
    sK2537: 
      !>[X0: $tType] : ( ( set(X0) * nat ) > X0 ) ).

tff(func_def_2931,type,
    sK2538: 
      !>[X0: $tType] : ( ( set(X0) * nat ) > set(X0) ) ).

tff(func_def_2932,type,
    sK2539: 
      !>[X0: $tType] : ( ( set(X0) * nat ) > X0 ) ).

tff(func_def_2933,type,
    sK2540: 
      !>[X0: $tType] : ( ( set(X0) * nat ) > set(X0) ) ).

tff(func_def_2934,type,
    sK2541: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_2935,type,
    sK2542: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_2936,type,
    sK2543: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_2937,type,
    sK2544: 
      !>[X0: $tType] : ( ( nat * set(X0) ) > X0 ) ).

tff(func_def_2938,type,
    sK2545: 
      !>[X0: $tType] : ( ( nat * set(X0) ) > set(X0) ) ).

tff(func_def_2939,type,
    sK2546: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_2940,type,
    sK2547: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_2941,type,
    sK2548: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_2942,type,
    sK2549: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_2943,type,
    sK2550: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_2944,type,
    sK2551: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,X1) * X1 ) > X0 ) ).

tff(func_def_2945,type,
    sK2552: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,X1) * X1 ) > X0 ) ).

tff(func_def_2946,type,
    sK2553: 
      !>[X0: $tType] : ( set(X0) > list(X0) ) ).

tff(func_def_2947,type,
    sK2554: 
      !>[X0: $tType] : ( list(list(X0)) > list(X0) ) ).

tff(func_def_2948,type,
    sK2555: 
      !>[X0: $tType] : ( list(list(X0)) > list(X0) ) ).

tff(func_def_2949,type,
    sK2556: 
      !>[X0: $tType] : ( list(list(X0)) > list(X0) ) ).

tff(func_def_2950,type,
    sK2557: 
      !>[X0: $tType] : ( list(X0) > nat ) ).

tff(func_def_2951,type,
    sK2558: 
      !>[X0: $tType] : ( list(X0) > nat ) ).

tff(func_def_2952,type,
    sK2559: 
      !>[X0: $tType] : ( ( list(X0) * X0 ) > nat ) ).

tff(func_def_2953,type,
    sK2560: 
      !>[X0: $tType] : ( ( set(set(X0)) * nat ) > set(X0) ) ).

tff(func_def_2954,type,
    sK2561: 
      !>[X0: $tType] : ( set(set(X0)) > set(X0) ) ).

tff(func_def_2955,type,
    sK2562: 
      !>[X0: $tType] : ( set(set(X0)) > set(X0) ) ).

tff(func_def_2956,type,
    sK2563: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_2957,type,
    sK2564: 
      !>[X0: $tType] : ( ( set(X0) * set(set(X0)) ) > set(X0) ) ).

tff(func_def_2958,type,
    sK2565: 
      !>[X0: $tType] : ( ( set(X0) * set(set(X0)) ) > set(X0) ) ).

tff(func_def_2959,type,
    sK2566: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_2960,type,
    sK2567: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_2961,type,
    sK2568: 
      !>[X0: $tType] : ( set(set(X0)) > set(X0) ) ).

tff(func_def_2962,type,
    sK2569: 
      !>[X0: $tType] : ( ( set(X0) * set(set(X0)) ) > set(set(X0)) ) ).

tff(func_def_2963,type,
    sK2570: 
      !>[X0: $tType] : ( ( set(X0) * X0 * X0 ) > X0 ) ).

tff(func_def_2964,type,
    sK2571: 
      !>[X0: $tType] : ( ( set(X0) * fun(X0,$o) * fun(X0,$o) ) > X0 ) ).

tff(func_def_2965,type,
    sK2572: 
      !>[X0: $tType] : ( ( set(X0) * fun(X0,$o) ) > X0 ) ).

tff(func_def_2966,type,
    sK2573: 
      !>[X0: $tType] : ( ( set(set(X0)) * nat ) > set(X0) ) ).

tff(func_def_2967,type,
    sK2574: 
      !>[X0: $tType] : ( set(set(X0)) > set(X0) ) ).

tff(func_def_2968,type,
    sK2575: 
      !>[X0: $tType] : ( set(set(X0)) > set(X0) ) ).

tff(func_def_2969,type,
    sK2576: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_2970,type,
    sK2577: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_2971,type,
    sK2578: 
      !>[X0: $tType] : ( ( X0 * X0 * fun(X0,$o) ) > X0 ) ).

tff(func_def_2972,type,
    sK2579: 
      !>[X0: $tType] : ( ( X0 * fun(X0,$o) * X0 ) > X0 ) ).

tff(func_def_2973,type,
    sK2580: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_2974,type,
    sK2581: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_2975,type,
    sK2582: 
      !>[X0: $tType] : ( ( X0 * set(X0) ) > X0 ) ).

tff(func_def_2976,type,
    sK2583: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_2977,type,
    sK2584: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_2978,type,
    sK2585: 
      !>[X0: $tType] : ( ( set(X0) * set(X0) ) > X0 ) ).

tff(func_def_2979,type,
    sK2586: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_2980,type,
    sK2587: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_2981,type,
    sK2588: 
      !>[X0: $tType] : ( set(set(X0)) > set(X0) ) ).

tff(func_def_2982,type,
    sK2589: 
      !>[X0: $tType] : ( set(set(X0)) > set(X0) ) ).

tff(func_def_2983,type,
    sK2590: 
      !>[X0: $tType] : ( ( set(set(X0)) * set(set(X0)) ) > set(X0) ) ).

tff(func_def_2984,type,
    sK2591: 
      !>[X0: $tType] : ( ( set(set(X0)) * set(X0) ) > set(X0) ) ).

tff(func_def_2985,type,
    sK2592: 
      !>[X0: $tType] : ( ( X0 * set(X0) ) > X0 ) ).

tff(func_def_2986,type,
    sK2593: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_2987,type,
    sK2594: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_2988,type,
    sK2595: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_2989,type,
    sK2596: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_2990,type,
    sK2597: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_2991,type,
    sK2598: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_2992,type,
    sK2599: 
      !>[X0: $tType] : ( ( X0 * set(X0) ) > X0 ) ).

tff(func_def_2993,type,
    sK2600: 
      !>[X0: $tType] : ( ( set(set(X0)) * set(X0) ) > set(X0) ) ).

tff(func_def_2994,type,
    sK2601: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_2995,type,
    sK2602: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_2996,type,
    sK2603: 
      !>[X0: $tType] : ( set(set(X0)) > set(X0) ) ).

tff(func_def_2997,type,
    sK2604: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_2998,type,
    sK2605: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_2999,type,
    sK2606: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_3000,type,
    sK2607: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_3001,type,
    sK2608: 
      !>[X0: $tType] : ( ( set(X0) * set(X0) ) > X0 ) ).

tff(func_def_3002,type,
    sK2609: 
      !>[X0: $tType] : ( ( X0 * set(X0) ) > X0 ) ).

tff(func_def_3003,type,
    sK2610: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_3004,type,
    sK2611: 
      !>[X0: $tType] : ( ( X0 * set(X0) ) > X0 ) ).

tff(func_def_3005,type,
    sK2612: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_3006,type,
    sK2613: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_3007,type,
    sK2614: 
      !>[X0: $tType] : ( ( set(set(X0)) * set(X0) ) > set(X0) ) ).

tff(func_def_3008,type,
    sK2615: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_3009,type,
    sK2616: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_3010,type,
    sK2617: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_3011,type,
    sK2618: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_3012,type,
    sK2619: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_3013,type,
    sK2620: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_3014,type,
    sK2621: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_3015,type,
    sK2622: 
      !>[X0: $tType] : ( ( set(set(X0)) * set(X0) ) > set(X0) ) ).

tff(func_def_3016,type,
    sK2623: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_3017,type,
    sK2624: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_3018,type,
    sK2625: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_3019,type,
    sK2626: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_3020,type,
    sK2627: 
      !>[X0: $tType] : ( ( set(X0) * X0 * X0 ) > X0 ) ).

tff(func_def_3021,type,
    sK2630: ( vEBT_VEBT * option(nat) ) > nat ).

tff(func_def_3022,type,
    sK2631: ( vEBT_VEBT * option(nat) ) > list(vEBT_VEBT) ).

tff(func_def_3023,type,
    sK2632: ( vEBT_VEBT * option(nat) ) > vEBT_VEBT ).

tff(func_def_3024,type,
    sK2633: ( vEBT_VEBT * option(nat) ) > nat ).

tff(func_def_3025,type,
    sK2634: ( vEBT_VEBT * option(nat) ) > nat ).

tff(func_def_3026,type,
    sK2635: ( vEBT_VEBT * option(nat) ) > nat ).

tff(func_def_3027,type,
    sK2636: ( vEBT_VEBT * option(nat) ) > list(vEBT_VEBT) ).

tff(func_def_3028,type,
    sK2637: ( vEBT_VEBT * option(nat) ) > vEBT_VEBT ).

tff(func_def_3029,type,
    sK2645: ( vEBT_VEBT * option(nat) ) > nat ).

tff(func_def_3030,type,
    sK2646: ( vEBT_VEBT * option(nat) ) > list(vEBT_VEBT) ).

tff(func_def_3031,type,
    sK2647: ( vEBT_VEBT * option(nat) ) > vEBT_VEBT ).

tff(func_def_3032,type,
    sK2648: ( vEBT_VEBT * option(nat) ) > nat ).

tff(func_def_3033,type,
    sK2649: ( vEBT_VEBT * option(nat) ) > nat ).

tff(func_def_3034,type,
    sK2650: ( vEBT_VEBT * option(nat) ) > nat ).

tff(func_def_3035,type,
    sK2651: ( vEBT_VEBT * option(nat) ) > list(vEBT_VEBT) ).

tff(func_def_3036,type,
    sK2652: ( vEBT_VEBT * option(nat) ) > vEBT_VEBT ).

tff(func_def_3037,type,
    sK2658: ( nat * fun(nat,$o) ) > nat ).

tff(func_def_3038,type,
    sK2659: ( nat * fun(nat,$o) ) > nat ).

tff(func_def_3039,type,
    sK2660: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( product_prod(X2,X1) * fun(X2,fun(X1,X0)) * fun(X2,fun(X1,X0)) ) > X2 ) ).

tff(func_def_3040,type,
    sK2661: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( product_prod(X2,X1) * fun(X2,fun(X1,X0)) * fun(X2,fun(X1,X0)) ) > X1 ) ).

tff(func_def_3041,type,
    sK2664: ( vEBT_VEBT * $o ) > nat ).

tff(func_def_3042,type,
    sK2665: ( vEBT_VEBT * $o ) > list(vEBT_VEBT) ).

tff(func_def_3043,type,
    sK2666: ( vEBT_VEBT * $o ) > vEBT_VEBT ).

tff(func_def_3044,type,
    sK2667: ( vEBT_VEBT * $o ) > product_prod(nat,nat) ).

tff(func_def_3045,type,
    sK2668: ( vEBT_VEBT * $o ) > nat ).

tff(func_def_3046,type,
    sK2669: ( vEBT_VEBT * $o ) > list(vEBT_VEBT) ).

tff(func_def_3047,type,
    sK2670: ( vEBT_VEBT * $o ) > vEBT_VEBT ).

tff(func_def_3048,type,
    sK2676: vEBT_VEBT > nat ).

tff(func_def_3049,type,
    sK2677: vEBT_VEBT > list(vEBT_VEBT) ).

tff(func_def_3050,type,
    sK2678: vEBT_VEBT > vEBT_VEBT ).

tff(func_def_3051,type,
    sK2681: vEBT_VEBT > product_prod(nat,nat) ).

tff(func_def_3052,type,
    sK2682: vEBT_VEBT > nat ).

tff(func_def_3053,type,
    sK2683: vEBT_VEBT > list(vEBT_VEBT) ).

tff(func_def_3054,type,
    sK2684: vEBT_VEBT > vEBT_VEBT ).

tff(func_def_3055,type,
    sK2689: 
      !>[X0: $tType] : ( ( nat * fun(X0,fun(X0,$o)) * X0 * X0 ) > fun(nat,X0) ) ).

tff(func_def_3056,type,
    sK2690: 
      !>[X0: $tType] : ( ( nat * fun(X0,fun(X0,$o)) * fun(nat,X0) ) > nat ) ).

tff(func_def_3057,type,
    sK2691: 
      !>[X0: $tType] : ( ( nat * fun(X0,fun(X0,$o)) * X0 * X0 ) > X0 ) ).

tff(func_def_3058,type,
    sK2692: 
      !>[X0: $tType] : ( ( nat * fun(X0,fun(X0,$o)) * X0 * X0 ) > X0 ) ).

tff(func_def_3059,type,
    sK2693: 
      !>[X0: $tType] : ( ( nat * fun(X0,fun(X0,$o)) * X0 * X0 ) > X0 ) ).

tff(func_def_3060,type,
    sK2694: 
      !>[X0: $tType] : ( ( nat * fun(X0,fun(X0,$o)) * X0 * X0 ) > X0 ) ).

tff(func_def_3061,type,
    sK2695: 
      !>[X0: $tType] : ( ( nat * fun(X0,fun(X0,$o)) * X0 * X0 ) > nat ) ).

tff(func_def_3062,type,
    sK2696: 
      !>[X0: $tType] : ( ( nat * fun(X0,fun(X0,$o)) * X0 * X0 ) > X0 ) ).

tff(func_def_3063,type,
    sK2697: 
      !>[X0: $tType] : ( ( nat * fun(X0,fun(X0,$o)) * X0 * X0 ) > nat ) ).

tff(func_def_3064,type,
    sK2698: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( product_prod(X1,X2) * fun(X0,X1) * product_prod(X0,X2) ) > X0 ) ).

tff(func_def_3065,type,
    sK2699: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( product_prod(X1,X2) * fun(X0,X1) * product_prod(X0,X2) ) > X2 ) ).

tff(func_def_3066,type,
    sK2700: 
      !>[X0: $tType] : ( list(list(X0)) > list(X0) ) ).

tff(func_def_3067,type,
    sK2701: 
      !>[X0: $tType] : ( list(list(X0)) > list(X0) ) ).

tff(func_def_3068,type,
    sK2702: 
      !>[X0: $tType] : ( list(list(X0)) > list(X0) ) ).

tff(func_def_3069,type,
    sK2703: 
      !>[X0: $tType,X1: $tType] : ( ( X1 * product_prod(X0,X1) ) > X0 ) ).

tff(func_def_3070,type,
    sK2704: 
      !>[X0: $tType,X1: $tType] : ( fun(X1,X0) > X1 ) ).

tff(func_def_3071,type,
    sK2705: 
      !>[X0: $tType,X1: $tType] : ( fun(X1,X0) > X1 ) ).

tff(func_def_3072,type,
    sK2706: 
      !>[X0: $tType,X1: $tType] : ( ( X0 * product_prod(X0,X1) ) > X1 ) ).

tff(func_def_3073,type,
    sK2707: int > nat ).

tff(func_def_3074,type,
    sK2708: int > nat ).

tff(func_def_3075,type,
    sK2709: 
      !>[X0: $tType] : ( set(set(X0)) > set(X0) ) ).

tff(func_def_3076,type,
    sK2710: 
      !>[X0: $tType] : ( set(set(X0)) > set(X0) ) ).

tff(func_def_3077,type,
    sK2711: 
      !>[X0: $tType] : ( set(set(X0)) > set(X0) ) ).

tff(func_def_3078,type,
    sK2712: 
      !>[X0: $tType] : ( set(set(X0)) > set(X0) ) ).

tff(func_def_3079,type,
    sK2713: 
      !>[X0: $tType] : ( set(set(X0)) > set(X0) ) ).

tff(func_def_3080,type,
    sK2714: 
      !>[X0: $tType] : ( set(set(X0)) > set(X0) ) ).

tff(func_def_3081,type,
    sK2715: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_3082,type,
    sK2716: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_3083,type,
    sK2717: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_3084,type,
    sK2718: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_3085,type,
    sK2719: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,X0) * fun(X1,X0) ) > X1 ) ).

tff(func_def_3086,type,
    sK2720: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_3087,type,
    sK2721: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,X0) * fun(X1,X0) ) > X1 ) ).

tff(func_def_3088,type,
    sK2722: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * set(X0) ) > X0 ) ).

tff(func_def_3089,type,
    sK2723: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * set(X0) ) > X0 ) ).

tff(func_def_3090,type,
    sK2724: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * set(X0) ) > X1 ) ).

tff(func_def_3091,type,
    sK2725: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * set(X0) * X1 ) > X0 ) ).

tff(func_def_3092,type,
    sK2726: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,$o) * fun(X0,X1) * set(X1) ) > X0 ) ).

tff(func_def_3093,type,
    sK2727: 
      !>[X0: $tType,X1: $tType] : ( ( X0 * fun(X1,X0) * set(X1) ) > X1 ) ).

tff(func_def_3094,type,
    sK2728: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * set(X1) * fun(X0,$o) ) > X1 ) ).

tff(func_def_3095,type,
    sK2729: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,X0) * fun(X1,X0) ) > X1 ) ).

tff(func_def_3096,type,
    sK2730: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * set(X1) * fun(X0,$o) ) > X0 ) ).

tff(func_def_3097,type,
    sK2731: 
      !>[X0: $tType,X1: $tType] : ( ( X0 * fun(X1,X0) * set(X1) ) > X1 ) ).

tff(func_def_3098,type,
    sK2732: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,X1) * set(X1) ) > X0 ) ).

tff(func_def_3099,type,
    sK2733: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X1,X0) * set(X1) ) > set(X1) ) ).

tff(func_def_3100,type,
    sK2734: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * set(X0) * set(X1) ) > X0 ) ).

tff(func_def_3101,type,
    sK2735: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X1,X0) * set(X1) ) > set(X1) ) ).

tff(func_def_3102,type,
    sK2736: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * set(X1) * fun(set(X0),$o) ) > set(X0) ) ).

tff(func_def_3103,type,
    sK2737: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * set(X1) * fun(set(X0),$o) ) > set(X1) ) ).

tff(func_def_3104,type,
    sK2738: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( set(X0) * set(X2) * fun(X0,X1) * fun(X2,X1) ) > X0 ) ).

tff(func_def_3105,type,
    sK2739: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( set(X0) * set(X2) * fun(X0,X1) * fun(X2,X1) ) > X2 ) ).

tff(func_def_3106,type,
    sK2740: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( set(X0) * set(X2) * fun(X2,X1) * fun(X0,X1) ) > X0 ) ).

tff(func_def_3107,type,
    sK2741: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( set(X0) * set(X2) * fun(X2,X1) * fun(X0,X1) ) > X2 ) ).

tff(func_def_3108,type,
    sK2742: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * set(X1) * fun(set(X0),$o) ) > set(X0) ) ).

tff(func_def_3109,type,
    sK2743: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * set(X1) * fun(set(X0),$o) ) > set(X1) ) ).

tff(func_def_3110,type,
    sK2744: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * set(X1) * fun(set(X0),$o) ) > set(X0) ) ).

tff(func_def_3111,type,
    sK2745: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * set(X1) * fun(set(X0),$o) ) > set(X1) ) ).

tff(func_def_3112,type,
    sK2746: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X1,X0) * set(X1) ) > set(X1) ) ).

tff(func_def_3113,type,
    sK2747: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,X1) * X1 ) > X0 ) ).

tff(func_def_3114,type,
    sK2748: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,X1) * X1 ) > X0 ) ).

tff(func_def_3115,type,
    sK2749: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X1,X0) * fun(X0,X1) ) > X0 ) ).

tff(func_def_3116,type,
    sK2750: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * fun(X0,X1) * set(X1) ) > X1 ) ).

tff(func_def_3117,type,
    sK2751: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,X1) * X1 ) > X0 ) ).

tff(func_def_3118,type,
    sK2752: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,X1) * X1 ) > X1 ) ).

tff(func_def_3119,type,
    sK2753: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( set(X0) * set(X2) * fun(X0,X1) * fun(X2,X1) ) > X0 ) ).

tff(func_def_3120,type,
    sK2754: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,X1) * X1 ) > X0 ) ).

tff(func_def_3121,type,
    sK2755: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * fun(X1,X0) ) > X1 ) ).

tff(func_def_3122,type,
    sK2756: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * set(X0) * X1 ) > X0 ) ).

tff(func_def_3123,type,
    sK2757: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * X1 * fun(X0,X1) ) > X0 ) ).

tff(func_def_3124,type,
    sK2758: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * X1 * fun(X0,X1) ) > X1 ) ).

tff(func_def_3125,type,
    sK2759: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( set(X2) * set(X0) * fun(X0,X1) * fun(X2,X1) ) > X2 ) ).

tff(func_def_3126,type,
    sK2760: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * fun(X1,X0) ) > X1 ) ).

tff(func_def_3127,type,
    sK2761: 
      !>[X0: $tType,X1: $tType] : ( ( X0 * fun(X1,X0) * set(X1) ) > X1 ) ).

tff(func_def_3128,type,
    sK2762: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * X0 * fun(X1,X0) ) > X1 ) ).

tff(func_def_3129,type,
    sK2763: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,X0) * X1 ) > X1 ) ).

tff(func_def_3130,type,
    sK2764: 
      !>[X0: $tType,X1: $tType] : ( ( X0 * fun(X1,X0) * set(X1) ) > X0 ) ).

tff(func_def_3131,type,
    sK2765: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * set(X1) * X0 ) > X1 ) ).

tff(func_def_3132,type,
    sK2766: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * set(X0) * X1 ) > X1 ) ).

tff(func_def_3133,type,
    sK2767: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * set(X0) * X1 ) > X0 ) ).

tff(func_def_3134,type,
    sK2768: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,X1) * X1 ) > X0 ) ).

tff(func_def_3135,type,
    sK2769: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * X1 * fun(X0,X1) ) > X0 ) ).

tff(func_def_3136,type,
    sK2770: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * X1 * fun(X0,X1) ) > X0 ) ).

tff(func_def_3137,type,
    sK2771: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * X0 * fun(X1,X0) ) > X1 ) ).

tff(func_def_3138,type,
    sK2772: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,X1) * X1 ) > X0 ) ).

tff(func_def_3139,type,
    sK2773: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,X1) * X1 ) > X0 ) ).

tff(func_def_3140,type,
    sK2774: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,X0) * fun(X1,X0) ) > X1 ) ).

tff(func_def_3141,type,
    sK2775: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,X0) * fun(X1,X0) ) > X1 ) ).

tff(func_def_3142,type,
    sK2776: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( set(X2) * fun(X0,X1) * fun(X2,X0) ) > X2 ) ).

tff(func_def_3143,type,
    sK2777: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,filter(X1)) ) > set(X0) ) ).

tff(func_def_3144,type,
    sK2778: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,set(X1)) * set(X0) ) > X0 ) ).

tff(func_def_3145,type,
    sK2779: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,set(X1)) * set(X0) ) > X0 ) ).

tff(func_def_3146,type,
    sK2780: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,set(X1)) * set(X0) * set(X1) ) > X0 ) ).

tff(func_def_3147,type,
    sK2781: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,set(X1)) * set(X1) ) > X0 ) ).

tff(func_def_3148,type,
    sK2782: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,set(X0)) * fun(X1,set(X0)) ) > X1 ) ).

tff(func_def_3149,type,
    sK2783: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X1,set(X0)) * set(X1) ) > X1 ) ).

tff(func_def_3150,type,
    sK2784: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,set(X0)) * fun(X1,set(X0)) ) > X1 ) ).

tff(func_def_3151,type,
    sK2785: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * set(X0) * fun(X1,set(X0)) ) > X1 ) ).

tff(func_def_3152,type,
    sK2786: 
      !>[X0: $tType] : ( ( set(set(X0)) * X0 ) > set(X0) ) ).

tff(func_def_3153,type,
    sK2787: 
      !>[X0: $tType] : ( ( fun(X0,$o) * option(X0) ) > X0 ) ).

tff(func_def_3154,type,
    sK2788: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,set(X0)) ) > X1 ) ).

tff(func_def_3155,type,
    sK2789: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,set(X0)) ) > X1 ) ).

tff(func_def_3156,type,
    sK2790: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( set(X2) * fun(X2,set(X0)) * fun(X0,X1) * fun(X2,set(X1)) ) > X2 ) ).

tff(func_def_3157,type,
    sK2791: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * set(X0) * fun(X1,fun(X0,$o)) * fun(X1,fun(X0,$o)) ) > X1 ) ).

tff(func_def_3158,type,
    sK2792: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * set(X0) * fun(X1,fun(X0,$o)) * fun(X1,fun(X0,$o)) ) > X0 ) ).

tff(func_def_3159,type,
    sK2793: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,set(X0)) ) > X1 ) ).

tff(func_def_3160,type,
    sK2794: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,set(X0)) ) > X1 ) ).

tff(func_def_3161,type,
    sK2795: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,set(X0)) ) > X1 ) ).

tff(func_def_3162,type,
    sK2796: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,set(X0)) ) > X1 ) ).

tff(func_def_3163,type,
    sK2797: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,set(X0)) ) > X1 ) ).

tff(func_def_3164,type,
    sK2798: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,set(X0)) ) > X1 ) ).

tff(func_def_3165,type,
    sK2799: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,set(X0)) ) > X1 ) ).

tff(func_def_3166,type,
    sK2800: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,set(X0)) ) > X1 ) ).

tff(func_def_3167,type,
    sK2801: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,set(X0)) ) > X1 ) ).

tff(func_def_3168,type,
    sK2802: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,filter(X1)) ) > X0 ) ).

tff(func_def_3169,type,
    sK2803: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,filter(X1)) ) > X0 ) ).

tff(func_def_3170,type,
    sK2804: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,filter(X1)) ) > X0 ) ).

tff(func_def_3171,type,
    sK2805: 
      !>[X0: $tType] : ( set(filter(X0)) > set(filter(X0)) ) ).

tff(func_def_3172,type,
    sK2806: 
      !>[X0: $tType] : ( ( fun(nat,set(X0)) * set(X0) ) > nat ) ).

tff(func_def_3173,type,
    sK2807: 
      !>[X0: $tType] : ( ( fun(nat,set(X0)) * nat ) > nat ) ).

tff(func_def_3174,type,
    sK2808: 
      !>[X0: $tType] : ( ( fun(nat,set(X0)) * nat ) > nat ) ).

tff(func_def_3175,type,
    sK2809: 
      !>[X0: $tType] : ( ( fun(nat,set(X0)) * nat ) > nat ) ).

tff(func_def_3176,type,
    sK2810: 
      !>[X0: $tType,X1: $tType] : ( ( X0 * fun(X1,X0) ) > X1 ) ).

tff(func_def_3177,type,
    sK2811: 
      !>[X0: $tType] : X0 ).

tff(func_def_3178,type,
    sK2812: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_3179,type,
    sK2813: 
      !>[X0: $tType] : ( ( fun(nat,set(X0)) * set(X0) ) > nat ) ).

tff(func_def_3180,type,
    sK2814: 
      !>[X0: $tType] : ( ( fun(nat,set(X0)) * fun(nat,set(X0)) * nat ) > nat ) ).

tff(func_def_3181,type,
    sK2815: 
      !>[X0: $tType] : ( ( fun(nat,set(X0)) * fun(nat,set(X0)) * nat ) > nat ) ).

tff(func_def_3182,type,
    sK2823: num > num ).

tff(func_def_3183,type,
    sK2824: ( num * num * option(num) ) > num ).

tff(func_def_3184,type,
    sK2825: ( num * num * option(num) ) > num ).

tff(func_def_3185,type,
    sK2826: ( num * num * option(num) ) > num ).

tff(func_def_3186,type,
    sK2827: ( num * num * option(num) ) > num ).

tff(func_def_3187,type,
    sK2828: ( num * num * option(num) ) > num ).

tff(func_def_3188,type,
    sK2829: ( num * num * option(num) ) > num ).

tff(func_def_3189,type,
    sK2830: num > num ).

tff(func_def_3190,type,
    sK2831: ( num * num * option(num) ) > num ).

tff(func_def_3191,type,
    sK2832: ( num * num * option(num) ) > num ).

tff(func_def_3192,type,
    sK2833: ( num * num * option(num) ) > num ).

tff(func_def_3193,type,
    sK2834: ( num * num * option(num) ) > num ).

tff(func_def_3194,type,
    sK2835: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * option(X0) * X1 ) > X0 ) ).

tff(func_def_3195,type,
    sK2836: 
      !>[X0: $tType,X1: $tType] : ( ( option(X1) * fun(X1,X0) * fun(X1,X0) ) > X1 ) ).

tff(func_def_3196,type,
    sK2844: num > num ).

tff(func_def_3197,type,
    sK2845: ( num * num * option(num) ) > num ).

tff(func_def_3198,type,
    sK2846: ( num * num * option(num) ) > num ).

tff(func_def_3199,type,
    sK2847: ( num * num * option(num) ) > num ).

tff(func_def_3200,type,
    sK2848: ( num * num * option(num) ) > num ).

tff(func_def_3201,type,
    sK2849: num > num ).

tff(func_def_3202,type,
    sK2850: num > num ).

tff(func_def_3203,type,
    sK2851: num > num ).

tff(func_def_3204,type,
    sK2852: ( num * num * option(num) ) > num ).

tff(func_def_3205,type,
    sK2853: ( num * num * option(num) ) > num ).

tff(func_def_3206,type,
    sK2854: ( num * num * option(num) ) > num ).

tff(func_def_3207,type,
    sK2855: ( num * num * option(num) ) > num ).

tff(func_def_3208,type,
    sK2862: ( num * option(num) ) > num ).

tff(func_def_3209,type,
    sK2863: ( num * option(num) ) > num ).

tff(func_def_3210,type,
    sK2864: ( num * num * option(num) ) > num ).

tff(func_def_3211,type,
    sK2865: ( num * num * option(num) ) > num ).

tff(func_def_3212,type,
    sK2866: ( num * num * option(num) ) > num ).

tff(func_def_3213,type,
    sK2867: ( num * num * option(num) ) > num ).

tff(func_def_3214,type,
    sK2868: ( num * num * option(num) ) > num ).

tff(func_def_3215,type,
    sK2869: ( num * num * option(num) ) > num ).

tff(func_def_3216,type,
    sK2871: ( num * num * option(num) ) > num ).

tff(func_def_3217,type,
    sK2872: ( num * num * option(num) ) > num ).

tff(func_def_3218,type,
    sK2873: ( num * num * option(num) ) > num ).

tff(func_def_3219,type,
    sK2874: ( num * num * option(num) ) > num ).

tff(func_def_3220,type,
    sK2906: 
      !>[X0: $tType] : ( ( product_prod(X0,X0) * set(X0) ) > X0 ) ).

tff(func_def_3221,type,
    sK2907: 
      !>[X0: $tType] : ( product_prod(list(X0),list(X0)) > list(X0) ) ).

tff(func_def_3222,type,
    sK2908: 
      !>[X0: $tType] : ( product_prod(list(X0),list(X0)) > X0 ) ).

tff(func_def_3223,type,
    sK2909: 
      !>[X0: $tType] : ( product_prod(list(X0),list(X0)) > list(X0) ) ).

tff(func_def_3224,type,
    sK2910: 
      !>[X0: $tType] : ( product_prod(list(X0),list(X0)) > list(X0) ) ).

tff(func_def_3225,type,
    sK2911: 
      !>[X0: $tType] : ( product_prod(list(X0),list(X0)) > list(X0) ) ).

tff(func_def_3226,type,
    sK2912: 
      !>[X0: $tType] : ( product_prod(list(X0),list(X0)) > list(X0) ) ).

tff(func_def_3227,type,
    sK2913: 
      !>[X0: $tType] : ( product_prod(list(X0),list(X0)) > X0 ) ).

tff(func_def_3228,type,
    sK2914: 
      !>[X0: $tType] : ( product_prod(list(X0),list(X0)) > list(X0) ) ).

tff(func_def_3229,type,
    sK2915: 
      !>[X0: $tType] : ( product_prod(list(X0),list(X0)) > X0 ) ).

tff(func_def_3230,type,
    sK2916: 
      !>[X0: $tType] : ( product_prod(list(X0),list(X0)) > list(X0) ) ).

tff(func_def_3231,type,
    sK2917: 
      !>[X0: $tType] : ( product_prod(fun(X0,fun(X0,$o)),list(X0)) > fun(X0,fun(X0,$o)) ) ).

tff(func_def_3232,type,
    sK2918: 
      !>[X0: $tType] : ( product_prod(fun(X0,fun(X0,$o)),list(X0)) > fun(X0,fun(X0,$o)) ) ).

tff(func_def_3233,type,
    sK2919: 
      !>[X0: $tType] : ( product_prod(fun(X0,fun(X0,$o)),list(X0)) > X0 ) ).

tff(func_def_3234,type,
    sK2920: 
      !>[X0: $tType] : ( product_prod(fun(X0,fun(X0,$o)),list(X0)) > list(X0) ) ).

tff(func_def_3235,type,
    sK2921: 
      !>[X0: $tType,X1: $tType] : ( product_prod(fun(X1,X0),list(X1)) > fun(X1,X0) ) ).

tff(func_def_3236,type,
    sK2922: 
      !>[X0: $tType,X1: $tType] : ( product_prod(fun(X1,X0),list(X1)) > X1 ) ).

tff(func_def_3237,type,
    sK2923: 
      !>[X0: $tType,X1: $tType] : ( product_prod(fun(X1,X0),list(X1)) > fun(X1,X0) ) ).

tff(func_def_3238,type,
    sK2924: 
      !>[X0: $tType,X1: $tType] : ( product_prod(fun(X1,X0),list(X1)) > X1 ) ).

tff(func_def_3239,type,
    sK2925: 
      !>[X0: $tType,X1: $tType] : ( product_prod(fun(X1,X0),list(X1)) > X1 ) ).

tff(func_def_3240,type,
    sK2926: 
      !>[X0: $tType,X1: $tType] : ( product_prod(fun(X1,X0),list(X1)) > list(X1) ) ).

tff(func_def_3241,type,
    sK2927: 
      !>[X0: $tType,X1: $tType] : ( product_prod(fun(X1,X0),list(X1)) > fun(X1,X0) ) ).

tff(func_def_3242,type,
    sK2928: 
      !>[X0: $tType] : ( product_prod(fun(X0,fun(X0,$o)),list(X0)) > fun(X0,fun(X0,$o)) ) ).

tff(func_def_3243,type,
    sK2929: 
      !>[X0: $tType] : ( product_prod(fun(X0,fun(X0,$o)),list(X0)) > fun(X0,fun(X0,$o)) ) ).

tff(func_def_3244,type,
    sK2930: 
      !>[X0: $tType] : ( product_prod(fun(X0,fun(X0,$o)),list(X0)) > X0 ) ).

tff(func_def_3245,type,
    sK2931: 
      !>[X0: $tType] : ( product_prod(fun(X0,fun(X0,$o)),list(X0)) > fun(X0,fun(X0,$o)) ) ).

tff(func_def_3246,type,
    sK2932: 
      !>[X0: $tType] : ( product_prod(fun(X0,fun(X0,$o)),list(X0)) > X0 ) ).

tff(func_def_3247,type,
    sK2933: 
      !>[X0: $tType] : ( product_prod(fun(X0,fun(X0,$o)),list(X0)) > X0 ) ).

tff(func_def_3248,type,
    sK2934: 
      !>[X0: $tType] : ( product_prod(fun(X0,fun(X0,$o)),list(X0)) > list(X0) ) ).

tff(func_def_3249,type,
    sK2935: 
      !>[X0: $tType,X1: $tType] : ( product_prod(fun(X0,X1),product_prod(list(X0),list(X1))) > fun(X0,X1) ) ).

tff(func_def_3250,type,
    sK2936: 
      !>[X0: $tType,X1: $tType] : ( product_prod(fun(X0,X1),product_prod(list(X0),list(X1))) > list(X1) ) ).

tff(func_def_3251,type,
    sK2937: 
      !>[X0: $tType,X1: $tType] : ( product_prod(fun(X0,X1),product_prod(list(X0),list(X1))) > fun(X0,X1) ) ).

tff(func_def_3252,type,
    sK2938: 
      !>[X0: $tType,X1: $tType] : ( product_prod(fun(X0,X1),product_prod(list(X0),list(X1))) > X0 ) ).

tff(func_def_3253,type,
    sK2939: 
      !>[X0: $tType,X1: $tType] : ( product_prod(fun(X0,X1),product_prod(list(X0),list(X1))) > list(X0) ) ).

tff(func_def_3254,type,
    sK2940: 
      !>[X0: $tType,X1: $tType] : ( product_prod(fun(X0,X1),product_prod(list(X0),list(X1))) > list(X1) ) ).

tff(func_def_3255,type,
    sK2941: 
      !>[X0: $tType] : ( ( X0 * list(X0) ) > list(X0) ) ).

tff(func_def_3256,type,
    sK2942: 
      !>[X0: $tType] : ( ( X0 * list(X0) ) > X0 ) ).

tff(func_def_3257,type,
    sK2943: 
      !>[X0: $tType] : ( ( X0 * list(X0) ) > list(X0) ) ).

tff(func_def_3258,type,
    sK2944: 
      !>[X0: $tType] : ( ( list(X0) * nat ) > X0 ) ).

tff(func_def_3259,type,
    sK2945: 
      !>[X0: $tType] : ( ( list(X0) * nat ) > list(X0) ) ).

tff(func_def_3260,type,
    sK2946: 
      !>[X0: $tType] : ( ( nat * list(X0) ) > X0 ) ).

tff(func_def_3261,type,
    sK2947: 
      !>[X0: $tType] : ( ( nat * list(X0) ) > list(X0) ) ).

tff(func_def_3262,type,
    sK2948: 
      !>[X0: $tType,X1: $tType] : ( fun(list(X0),fun(list(X1),$o)) > X0 ) ).

tff(func_def_3263,type,
    sK2949: 
      !>[X0: $tType,X1: $tType] : ( fun(list(X0),fun(list(X1),$o)) > list(X0) ) ).

tff(func_def_3264,type,
    sK2950: 
      !>[X0: $tType,X1: $tType] : ( fun(list(X0),fun(list(X1),$o)) > X1 ) ).

tff(func_def_3265,type,
    sK2951: 
      !>[X0: $tType,X1: $tType] : ( fun(list(X0),fun(list(X1),$o)) > list(X1) ) ).

tff(func_def_3266,type,
    sK2952: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( fun(list(X1),fun(list(X0),fun(list(X2),$o))) > X1 ) ).

tff(func_def_3267,type,
    sK2953: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( fun(list(X1),fun(list(X0),fun(list(X2),$o))) > list(X1) ) ).

tff(func_def_3268,type,
    sK2954: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( fun(list(X1),fun(list(X0),fun(list(X2),$o))) > X0 ) ).

tff(func_def_3269,type,
    sK2955: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( fun(list(X1),fun(list(X0),fun(list(X2),$o))) > list(X0) ) ).

tff(func_def_3270,type,
    sK2956: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( fun(list(X1),fun(list(X0),fun(list(X2),$o))) > X2 ) ).

tff(func_def_3271,type,
    sK2957: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( fun(list(X1),fun(list(X0),fun(list(X2),$o))) > list(X2) ) ).

tff(func_def_3272,type,
    sK2958: 
      !>[X0: $tType,X1: $tType,X2: $tType,X3: $tType] : ( fun(list(X1),fun(list(X2),fun(list(X0),fun(list(X3),$o)))) > X1 ) ).

tff(func_def_3273,type,
    sK2959: 
      !>[X0: $tType,X1: $tType,X2: $tType,X3: $tType] : ( fun(list(X1),fun(list(X2),fun(list(X0),fun(list(X3),$o)))) > list(X1) ) ).

tff(func_def_3274,type,
    sK2960: 
      !>[X0: $tType,X1: $tType,X2: $tType,X3: $tType] : ( fun(list(X1),fun(list(X2),fun(list(X0),fun(list(X3),$o)))) > X2 ) ).

tff(func_def_3275,type,
    sK2961: 
      !>[X0: $tType,X1: $tType,X2: $tType,X3: $tType] : ( fun(list(X1),fun(list(X2),fun(list(X0),fun(list(X3),$o)))) > list(X2) ) ).

tff(func_def_3276,type,
    sK2962: 
      !>[X0: $tType,X1: $tType,X2: $tType,X3: $tType] : ( fun(list(X1),fun(list(X2),fun(list(X0),fun(list(X3),$o)))) > X0 ) ).

tff(func_def_3277,type,
    sK2963: 
      !>[X0: $tType,X1: $tType,X2: $tType,X3: $tType] : ( fun(list(X1),fun(list(X2),fun(list(X0),fun(list(X3),$o)))) > list(X0) ) ).

tff(func_def_3278,type,
    sK2964: 
      !>[X0: $tType,X1: $tType,X2: $tType,X3: $tType] : ( fun(list(X1),fun(list(X2),fun(list(X0),fun(list(X3),$o)))) > X3 ) ).

tff(func_def_3279,type,
    sK2965: 
      !>[X0: $tType,X1: $tType,X2: $tType,X3: $tType] : ( fun(list(X1),fun(list(X2),fun(list(X0),fun(list(X3),$o)))) > list(X3) ) ).

tff(func_def_3280,type,
    sK2966: 
      !>[X0: $tType] : ( ( nat * list(X0) ) > X0 ) ).

tff(func_def_3281,type,
    sK2967: 
      !>[X0: $tType] : ( ( nat * list(X0) ) > list(X0) ) ).

tff(func_def_3282,type,
    sK2968: 
      !>[X0: $tType,X1: $tType] : ( ( list(X1) * fun(X1,X0) * X1 ) > X1 ) ).

tff(func_def_3283,type,
    sK2969: 
      !>[X0: $tType] : ( ( X0 * list(X0) ) > list(X0) ) ).

tff(func_def_3284,type,
    sK2970: 
      !>[X0: $tType] : ( ( X0 * list(X0) ) > list(X0) ) ).

tff(func_def_3285,type,
    sK2971: 
      !>[X0: $tType] : ( ( X0 * list(X0) ) > list(X0) ) ).

tff(func_def_3286,type,
    sK2972: 
      !>[X0: $tType] : ( ( X0 * list(X0) ) > list(X0) ) ).

tff(func_def_3287,type,
    sK2973: 
      !>[X0: $tType] : ( ( list(X0) * fun(X0,$o) ) > list(X0) ) ).

tff(func_def_3288,type,
    sK2974: 
      !>[X0: $tType] : ( ( list(X0) * fun(X0,$o) ) > X0 ) ).

tff(func_def_3289,type,
    sK2975: 
      !>[X0: $tType] : ( ( list(X0) * fun(X0,$o) ) > list(X0) ) ).

tff(func_def_3290,type,
    sK2976: 
      !>[X0: $tType] : ( ( X0 * list(X0) ) > list(X0) ) ).

tff(func_def_3291,type,
    sK2977: 
      !>[X0: $tType] : ( ( X0 * list(X0) ) > list(X0) ) ).

tff(func_def_3292,type,
    sK2978: 
      !>[X0: $tType] : ( ( list(X0) * fun(X0,$o) ) > list(X0) ) ).

tff(func_def_3293,type,
    sK2979: 
      !>[X0: $tType] : ( ( list(X0) * fun(X0,$o) ) > X0 ) ).

tff(func_def_3294,type,
    sK2980: 
      !>[X0: $tType] : ( ( list(X0) * fun(X0,$o) ) > list(X0) ) ).

tff(func_def_3295,type,
    sK2981: 
      !>[X0: $tType] : ( ( X0 * list(X0) ) > list(X0) ) ).

tff(func_def_3296,type,
    sK2982: 
      !>[X0: $tType] : ( ( X0 * list(X0) ) > list(X0) ) ).

tff(func_def_3297,type,
    sK2983: 
      !>[X0: $tType] : ( ( list(X0) * fun(X0,$o) ) > list(X0) ) ).

tff(func_def_3298,type,
    sK2984: 
      !>[X0: $tType] : ( ( list(X0) * fun(X0,$o) ) > X0 ) ).

tff(func_def_3299,type,
    sK2985: 
      !>[X0: $tType] : ( ( list(X0) * fun(X0,$o) ) > list(X0) ) ).

tff(func_def_3300,type,
    sK2986: 
      !>[X0: $tType] : ( ( list(X0) * fun(X0,$o) ) > list(X0) ) ).

tff(func_def_3301,type,
    sK2987: 
      !>[X0: $tType] : ( ( list(X0) * fun(X0,$o) ) > X0 ) ).

tff(func_def_3302,type,
    sK2988: 
      !>[X0: $tType] : ( ( list(X0) * fun(X0,$o) ) > list(X0) ) ).

tff(func_def_3303,type,
    sK2989: 
      !>[X0: $tType] : ( ( list(X0) * fun(X0,$o) ) > list(X0) ) ).

tff(func_def_3304,type,
    sK2990: 
      !>[X0: $tType] : ( ( list(X0) * fun(X0,$o) ) > X0 ) ).

tff(func_def_3305,type,
    sK2991: 
      !>[X0: $tType] : ( ( list(X0) * fun(X0,$o) ) > list(X0) ) ).

tff(func_def_3306,type,
    sK2992: 
      !>[X0: $tType] : ( ( list(X0) * fun(X0,$o) ) > list(X0) ) ).

tff(func_def_3307,type,
    sK2993: 
      !>[X0: $tType] : ( ( list(X0) * fun(X0,$o) ) > X0 ) ).

tff(func_def_3308,type,
    sK2994: 
      !>[X0: $tType] : ( ( list(X0) * fun(X0,$o) ) > list(X0) ) ).

tff(func_def_3309,type,
    sK2995: 
      !>[X0: $tType] : ( ( X0 * list(X0) ) > list(X0) ) ).

tff(func_def_3310,type,
    sK2996: 
      !>[X0: $tType] : ( ( X0 * list(X0) ) > list(X0) ) ).

tff(func_def_3311,type,
    sK2997: 
      !>[X0: $tType] : ( ( X0 * list(X0) ) > list(X0) ) ).

tff(func_def_3312,type,
    sK2998: 
      !>[X0: $tType] : ( ( X0 * list(X0) ) > list(X0) ) ).

tff(func_def_3313,type,
    sK2999: 
      !>[X0: $tType] : ( ( list(X0) * fun(X0,$o) ) > X0 ) ).

tff(func_def_3314,type,
    sK3000: 
      !>[X0: $tType] : ( ( list(X0) * fun(X0,$o) ) > list(X0) ) ).

tff(func_def_3315,type,
    sK3001: 
      !>[X0: $tType] : ( ( list(X0) * fun(X0,$o) ) > X0 ) ).

tff(func_def_3316,type,
    sK3002: 
      !>[X0: $tType] : ( ( list(X0) * fun(X0,$o) ) > list(X0) ) ).

tff(func_def_3317,type,
    sK3003: 
      !>[X0: $tType] : ( ( fun(X0,$o) * list(X0) ) > X0 ) ).

tff(func_def_3318,type,
    sK3004: 
      !>[X0: $tType] : ( ( list(X0) * fun(X0,$o) ) > X0 ) ).

tff(func_def_3319,type,
    sK3005: 
      !>[X0: $tType] : ( ( list(X0) * fun(X0,$o) ) > list(X0) ) ).

tff(func_def_3320,type,
    sK3006: 
      !>[X0: $tType] : ( ( list(X0) * fun(X0,$o) ) > X0 ) ).

tff(func_def_3321,type,
    sK3007: 
      !>[X0: $tType] : ( ( fun(X0,$o) * list(X0) ) > X0 ) ).

tff(func_def_3322,type,
    sK3008: 
      !>[X0: $tType] : ( ( list(X0) * fun(X0,$o) ) > list(X0) ) ).

tff(func_def_3323,type,
    sK3009: ( fun(real,real) * real ) > real ).

tff(func_def_3324,type,
    sK3010: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) ) > list(X0) ) ).

tff(func_def_3325,type,
    sK3011: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) ) > X0 ) ).

tff(func_def_3326,type,
    sK3012: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) ) > list(X0) ) ).

tff(func_def_3327,type,
    sK3013: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) ) > X0 ) ).

tff(func_def_3328,type,
    sK3014: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) ) > list(X0) ) ).

tff(func_def_3329,type,
    sK3015: 
      !>[X0: $tType] : ( fun(nat,X0) > X0 ) ).

tff(func_def_3330,type,
    sK3016: 
      !>[X0: $tType] : ( list(X0) > list(X0) ) ).

tff(func_def_3331,type,
    sK3017: 
      !>[X0: $tType] : ( list(X0) > X0 ) ).

tff(func_def_3332,type,
    sK3018: 
      !>[X0: $tType] : ( list(X0) > list(X0) ) ).

tff(func_def_3333,type,
    sK3019: 
      !>[X0: $tType] : ( ( X0 * list(X0) * list(X0) ) > list(X0) ) ).

tff(func_def_3334,type,
    sK3020: 
      !>[X0: $tType] : ( ( X0 * list(X0) * list(X0) ) > list(X0) ) ).

tff(func_def_3335,type,
    sK3021: 
      !>[X0: $tType] : ( ( real * fun(nat,X0) * fun(X0,X0) ) > X0 ) ).

tff(func_def_3336,type,
    sK3022: 
      !>[X0: $tType] : ( ( list(X0) * nat ) > X0 ) ).

tff(func_def_3337,type,
    sK3023: 
      !>[X0: $tType] : ( ( list(X0) * nat ) > list(X0) ) ).

tff(func_def_3338,type,
    sK3024: 
      !>[X0: $tType] : ( ( real * fun(nat,X0) ) > X0 ) ).

tff(func_def_3339,type,
    sK3025: fun(nat,fun(real,real)) > nat ).

tff(func_def_3340,type,
    sK3026: fun(nat,fun(real,real)) > real ).

tff(func_def_3341,type,
    sK3027: ( fun(nat,fun(real,real)) * fun(real,real) * real * nat ) > real ).

tff(func_def_3342,type,
    sK3028: fun(nat,fun(real,real)) > nat ).

tff(func_def_3343,type,
    sK3029: fun(nat,fun(real,real)) > real ).

tff(func_def_3344,type,
    sK3030: ( fun(nat,fun(real,real)) * fun(real,real) * real * nat ) > real ).

tff(func_def_3345,type,
    sK3031: ( real * nat * fun(nat,fun(real,real)) ) > nat ).

tff(func_def_3346,type,
    sK3032: ( real * nat * fun(nat,fun(real,real)) ) > real ).

tff(func_def_3347,type,
    sK3033: ( real * nat * fun(nat,fun(real,real)) * fun(real,real) ) > real ).

tff(func_def_3348,type,
    sK3034: ( real * fun(nat,fun(real,real)) * nat ) > nat ).

tff(func_def_3349,type,
    sK3035: ( real * fun(nat,fun(real,real)) * nat ) > real ).

tff(func_def_3350,type,
    sK3036: ( real * fun(nat,fun(real,real)) * fun(real,real) * nat ) > real ).

tff(func_def_3351,type,
    sK3037: ( real * nat * fun(nat,fun(real,real)) ) > nat ).

tff(func_def_3352,type,
    sK3038: ( real * nat * fun(nat,fun(real,real)) ) > real ).

tff(func_def_3353,type,
    sK3039: ( real * nat * fun(nat,fun(real,real)) * fun(real,real) ) > real ).

tff(func_def_3354,type,
    sK3040: fun(nat,fun(real,real)) > nat ).

tff(func_def_3355,type,
    sK3041: fun(nat,fun(real,real)) > real ).

tff(func_def_3356,type,
    sK3042: ( fun(nat,fun(real,real)) * fun(real,real) * nat * real ) > real ).

tff(func_def_3357,type,
    sK3043: ( fun(nat,fun(real,real)) * nat * real ) > nat ).

tff(func_def_3358,type,
    sK3044: ( fun(nat,fun(real,real)) * nat * real ) > real ).

tff(func_def_3359,type,
    sK3045: ( fun(nat,fun(real,real)) * fun(real,real) * nat * real ) > real ).

tff(func_def_3360,type,
    sK3046: ( nat * fun(nat,fun(real,real)) * real * real ) > nat ).

tff(func_def_3361,type,
    sK3047: ( nat * fun(nat,fun(real,real)) * real * real ) > real ).

tff(func_def_3362,type,
    sK3048: ( nat * fun(nat,fun(real,real)) * fun(real,real) * real * real ) > real ).

tff(func_def_3363,type,
    sK3049: ( nat * fun(nat,fun(real,real)) * real * real ) > nat ).

tff(func_def_3364,type,
    sK3050: ( nat * fun(nat,fun(real,real)) * real * real ) > real ).

tff(func_def_3365,type,
    sK3051: ( nat * fun(nat,fun(real,real)) * fun(real,real) * real * real ) > real ).

tff(func_def_3366,type,
    sK3052: ( nat * fun(nat,fun(real,real)) * real * real ) > nat ).

tff(func_def_3367,type,
    sK3053: ( nat * fun(nat,fun(real,real)) * real * real ) > real ).

tff(func_def_3368,type,
    sK3054: ( nat * fun(nat,fun(real,real)) * fun(real,real) * real * real ) > real ).

tff(func_def_3369,type,
    sK3055: ( nat * real * fun(nat,fun(real,real)) ) > nat ).

tff(func_def_3370,type,
    sK3056: ( nat * real * fun(nat,fun(real,real)) ) > real ).

tff(func_def_3371,type,
    sK3058: ( real * fun(nat,real) ) > real ).

tff(func_def_3372,type,
    sK3059: list(nat) > nat ).

tff(func_def_3373,type,
    sK3060: list(nat) > list(nat) ).

tff(func_def_3374,type,
    sK3061: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,X1) * fun(X0,fun(X0,X1)) ) > X0 ) ).

tff(func_def_3375,type,
    sK3062: 
      !>[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_3376,type,
    sK3063: 
      !>[X0: $tType] : ( ( fun(X0,$o) * list(X0) ) > X0 ) ).

tff(func_def_3377,type,
    sK3064: 
      !>[X0: $tType] : ( ( fun(X0,$o) * list(X0) ) > X0 ) ).

tff(func_def_3378,type,
    sK3065: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( fun(X2,X1) * fun(X0,filter(X1)) * set(X0) * filter(X2) ) > X0 ) ).

tff(func_def_3379,type,
    sK3066: 
      !>[X0: $tType] : ( ( real * fun(nat,X0) * fun(X0,X0) ) > X0 ) ).

tff(func_def_3380,type,
    sK3067: 
      !>[X0: $tType] : ( ( real * fun(nat,X0) * fun(X0,X0) ) > X0 ) ).

tff(func_def_3381,type,
    sK3068: fun(nat,real) > nat ).

tff(func_def_3382,type,
    sK3069: fun(nat,real) > nat ).

tff(func_def_3383,type,
    sK3070: 
      !>[X0: $tType] : ( ( fun(nat,X0) * X0 * nat ) > nat ) ).

tff(func_def_3384,type,
    sK3071: 
      !>[X0: $tType] : ( ( fun(nat,X0) * X0 * nat ) > nat ) ).

tff(func_def_3385,type,
    sK3072: 
      !>[X0: $tType] : ( ( fun(nat,X0) * nat * X0 ) > nat ) ).

tff(func_def_3386,type,
    sK3073: 
      !>[X0: $tType] : ( ( fun(nat,X0) * nat * X0 ) > nat ) ).

tff(func_def_3387,type,
    sK3074: 
      !>[X0: $tType] : ( ( fun(nat,X0) * fun(nat,X0) * nat ) > nat ) ).

tff(func_def_3388,type,
    sK3075: 
      !>[X0: $tType] : ( ( nat * fun(nat,X0) * fun(nat,X0) ) > nat ) ).

tff(func_def_3389,type,
    sK3076: 
      !>[X0: $tType] : ( ( fun(nat,X0) * set(X0) ) > nat ) ).

tff(func_def_3390,type,
    sK3077: 
      !>[X0: $tType] : ( ( fun(nat,X0) * set(X0) ) > nat ) ).

tff(func_def_3391,type,
    sK3078: 
      !>[X0: $tType] : ( set(X0) > fun(nat,X0) ) ).

tff(func_def_3392,type,
    sK3079: fun(nat,real) > nat ).

tff(func_def_3393,type,
    sK3080: fun(nat,real) > nat ).

tff(func_def_3394,type,
    sK3081: ( fun(nat,real) * fun(nat,real) ) > nat ).

tff(func_def_3395,type,
    sK3082: ( fun(nat,real) * fun(nat,real) ) > real ).

tff(func_def_3396,type,
    sK3083: fun(nat,real) > real ).

tff(func_def_3397,type,
    sK3084: ( fun(nat,real) * nat ) > nat ).

tff(func_def_3398,type,
    sK3085: fun(nat,real) > nat ).

tff(func_def_3399,type,
    sK3086: ( fun(nat,real) * real ) > nat ).

tff(func_def_3400,type,
    sK3087: ( fun(nat,real) * real ) > real ).

tff(func_def_3401,type,
    sK3088: 
      !>[X0: $tType] : ( ( fun(nat,X0) * X0 * real ) > nat ) ).

tff(func_def_3402,type,
    sK3089: 
      !>[X0: $tType] : ( ( fun(nat,X0) * X0 ) > real ) ).

tff(func_def_3403,type,
    sK3090: 
      !>[X0: $tType] : ( ( fun(nat,X0) * X0 * nat ) > nat ) ).

tff(func_def_3404,type,
    sK3091: 
      !>[X0: $tType] : ( ( fun(nat,X0) * X0 ) > real ) ).

tff(func_def_3405,type,
    sK3092: 
      !>[X0: $tType] : ( ( fun(nat,X0) * X0 * real ) > nat ) ).

tff(func_def_3406,type,
    sK3093: 
      !>[X0: $tType] : ( ( fun(nat,X0) * X0 * nat ) > nat ) ).

tff(func_def_3407,type,
    sK3094: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * X0 * X1 * set(X1) ) > fun(nat,X1) ) ).

tff(func_def_3408,type,
    sK3095: 
      !>[X0: $tType] : ( ( X0 * set(X0) * fun(nat,X0) ) > nat ) ).

tff(func_def_3409,type,
    sK3096: 
      !>[X0: $tType] : ( fun(nat,X0) > nat ) ).

tff(func_def_3410,type,
    sK3097: 
      !>[X0: $tType] : ( fun(nat,X0) > nat ) ).

tff(func_def_3411,type,
    sK3098: fun(nat,real) > nat ).

tff(func_def_3412,type,
    sK3099: fun(nat,real) > nat ).

tff(func_def_3413,type,
    sK3100: ( fun(nat,real) * real ) > fun(nat,int) ).

tff(func_def_3414,type,
    sK3101: fun(nat,real) > fun(nat,int) ).

tff(func_def_3415,type,
    sK3102: fun(nat,real) > nat ).

tff(func_def_3416,type,
    sK3103: fun(nat,real) > nat ).

tff(func_def_3417,type,
    sK3104: fun(nat,real) > nat ).

tff(func_def_3418,type,
    sK3105: fun(nat,real) > nat ).

tff(func_def_3419,type,
    sK3106: fun(nat,real) > nat ).

tff(func_def_3420,type,
    sK3107: fun(nat,real) > nat ).

tff(func_def_3421,type,
    sK3108: fun(nat,real) > real ).

tff(func_def_3422,type,
    sK3109: fun(nat,real) > nat ).

tff(func_def_3423,type,
    sK3110: fun(nat,real) > nat ).

tff(func_def_3424,type,
    sK3111: 
      !>[X0: $tType,X1: $tType] : ( fun(X1,X0) > X1 ) ).

tff(func_def_3425,type,
    sK3112: 
      !>[X0: $tType,X1: $tType] : ( fun(X1,X0) > X1 ) ).

tff(func_def_3426,type,
    sK3113: 
      !>[X0: $tType,X1: $tType] : ( fun(X1,X0) > real ) ).

tff(func_def_3427,type,
    sK3114: 
      !>[X0: $tType,X1: $tType] : ( fun(X1,X0) > X1 ) ).

tff(func_def_3428,type,
    sK3115: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * real ) > X1 ) ).

tff(func_def_3429,type,
    sK3116: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * fun(X1,X0) * X1 ) > fun(X1,X0) ) ).

tff(func_def_3430,type,
    sK3117: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * fun(X1,X0) * X1 * fun(X1,X0) ) > X1 ) ).

tff(func_def_3431,type,
    sK3118: 
      !>[X0: $tType,X1: $tType] : ( ( X1 * set(X1) * fun(X1,X0) * fun(X1,X0) ) > fun(X1,X0) ) ).

tff(func_def_3432,type,
    sK3119: 
      !>[X0: $tType,X1: $tType] : ( ( X1 * set(X1) * fun(X1,X0) * fun(X1,X0) * fun(X1,X0) ) > X1 ) ).

tff(func_def_3433,type,
    sK3120: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_3434,type,
    sK3121: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_3435,type,
    sK3122: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > set(X0) ) ).

tff(func_def_3436,type,
    sK3123: 
      !>[X0: $tType] : ( X0 > fun(nat,set(X0)) ) ).

tff(func_def_3437,type,
    sK3124: 
      !>[X0: $tType] : ( ( X0 * set(X0) ) > nat ) ).

tff(func_def_3438,type,
    sK3125: 
      !>[X0: $tType] : ( ( X0 * X0 ) > set(X0) ) ).

tff(func_def_3439,type,
    sK3126: 
      !>[X0: $tType] : ( ( X0 * X0 ) > set(X0) ) ).

tff(func_def_3440,type,
    sK3127: 
      !>[X0: $tType] : ( ( X0 * X0 ) > set(X0) ) ).

tff(func_def_3441,type,
    sK3128: 
      !>[X0: $tType] : ( ( X0 * X0 ) > set(X0) ) ).

tff(func_def_3442,type,
    sK3129: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_3443,type,
    sK3130: 
      !>[X0: $tType] : ( ( fun(nat,X0) * X0 ) > set(X0) ) ).

tff(func_def_3444,type,
    sK3131: 
      !>[X0: $tType] : ( ( fun(nat,X0) * set(X0) ) > nat ) ).

tff(func_def_3445,type,
    sK3132: 
      !>[X0: $tType] : ( ( fun(nat,X0) * X0 * nat ) > nat ) ).

tff(func_def_3446,type,
    sK3133: 
      !>[X0: $tType] : ( ( X0 * X0 ) > X0 ) ).

tff(func_def_3447,type,
    sK3134: 
      !>[X0: $tType] : ( ( X0 * X0 ) > X0 ) ).

tff(func_def_3448,type,
    sK3135: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,X1) * set(X1) ) > X0 ) ).

tff(func_def_3449,type,
    sK3136: 
      !>[X0: $tType,X1: $tType,X2: $tType,X3: $tType] : ( ( set(X0) * fun(X0,X3) * fun(X3,set(X2)) * fun(X2,X1) * fun(X0,set(X1)) ) > X0 ) ).

tff(func_def_3450,type,
    sK3137: 
      !>[X0: $tType,X1: $tType,X2: $tType,X3: $tType] : ( ( set(X0) * fun(X0,X3) * fun(X3,set(X2)) * fun(X2,X1) * fun(X0,set(X1)) ) > X2 ) ).

tff(func_def_3451,type,
    sK3138: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,set(X1)) ) > X0 ) ).

tff(func_def_3452,type,
    sK3139: 
      !>[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_3453,type,
    sK3140: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,set(X1)) ) > X0 ) ).

tff(func_def_3454,type,
    sK3141: 
      !>[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_3455,type,
    sK3142: 
      !>[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_3456,type,
    sK3143: 
      !>[X0: $tType] : ( fun(X0,$o) > X0 ) ).

tff(func_def_3457,type,
    sK3144: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_3458,type,
    sK3145: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_3459,type,
    sK3146: 
      !>[X0: $tType] : ( ( fun(X0,$o) * set(filter(X0)) ) > filter(X0) ) ).

tff(func_def_3460,type,
    sK3147: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * filter(X0) * filter(X1) ) > fun(X0,$o) ) ).

tff(func_def_3461,type,
    sK3148: 
      !>[X0: $tType] : ( fun(X0,$o) > X0 ) ).

tff(func_def_3462,type,
    sK3149: 
      !>[X0: $tType] : ( fun(X0,$o) > X0 ) ).

tff(func_def_3463,type,
    sK3150: 
      !>[X0: $tType] : ( fun(X0,$o) > X0 ) ).

tff(func_def_3464,type,
    sK3151: 
      !>[X0: $tType] : ( ( fun(X0,$o) * fun(X0,$o) * fun(X0,$o) ) > X0 ) ).

tff(func_def_3465,type,
    sK3152: 
      !>[X0: $tType] : ( fun(X0,$o) > X0 ) ).

tff(func_def_3466,type,
    sK3153: 
      !>[X0: $tType] : ( fun(X0,$o) > X0 ) ).

tff(func_def_3467,type,
    sK3154: 
      !>[X0: $tType] : ( ( fun(X0,$o) * fun(X0,$o) ) > X0 ) ).

tff(func_def_3468,type,
    sK3155: 
      !>[X0: $tType] : ( ( filter(X0) * filter(X0) ) > fun(X0,$o) ) ).

tff(func_def_3469,type,
    sK3156: 
      !>[X0: $tType] : ( fun(X0,$o) > X0 ) ).

tff(func_def_3470,type,
    sK3157: 
      !>[X0: $tType] : ( ( fun(X0,$o) * filter(X0) * filter(X0) ) > fun(X0,$o) ) ).

tff(func_def_3471,type,
    sK3158: 
      !>[X0: $tType] : ( ( fun(X0,$o) * filter(X0) * filter(X0) ) > fun(X0,$o) ) ).

tff(func_def_3472,type,
    sK3159: 
      !>[X0: $tType] : ( ( fun(X0,$o) * fun(X0,$o) * fun(X0,$o) ) > X0 ) ).

tff(func_def_3473,type,
    sK3160: 
      !>[X0: $tType] : ( ( filter(X0) * filter(X0) ) > fun(X0,$o) ) ).

tff(func_def_3474,type,
    sK3161: 
      !>[X0: $tType] : ( ( filter(X0) * filter(X0) ) > fun(X0,$o) ) ).

tff(func_def_3475,type,
    sK3162: 
      !>[X0: $tType] : ( ( fun(X0,$o) * set(X0) ) > X0 ) ).

tff(func_def_3476,type,
    sK3163: 
      !>[X0: $tType] : ( ( X0 * fun(X0,$o) ) > X0 ) ).

tff(func_def_3477,type,
    sK3164: 
      !>[X0: $tType] : ( fun(X0,$o) > X0 ) ).

tff(func_def_3478,type,
    sK3165: 
      !>[X0: $tType] : ( ( fun(X0,$o) * X0 ) > X0 ) ).

tff(func_def_3479,type,
    sK3166: 
      !>[X0: $tType] : ( fun(X0,$o) > X0 ) ).

tff(func_def_3480,type,
    sK3167: 
      !>[X0: $tType] : ( ( fun(X0,$o) * X0 ) > X0 ) ).

tff(func_def_3481,type,
    sK3168: fun(nat,$o) > nat ).

tff(func_def_3482,type,
    sK3169: ( fun(nat,$o) * nat ) > nat ).

tff(func_def_3483,type,
    sK3170: ( nat * fun(nat,$o) ) > nat ).

tff(func_def_3484,type,
    sK3171: 
      !>[X0: $tType] : ( fun(X0,$o) > X0 ) ).

tff(func_def_3485,type,
    sK3172: 
      !>[X0: $tType] : ( ( fun(X0,$o) * X0 ) > X0 ) ).

tff(func_def_3486,type,
    sK3173: 
      !>[X0: $tType] : ( fun(X0,$o) > X0 ) ).

tff(func_def_3487,type,
    sK3174: 
      !>[X0: $tType] : ( ( fun(X0,$o) * X0 ) > X0 ) ).

tff(func_def_3488,type,
    sK3175: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_3489,type,
    sK3176: 
      !>[X0: $tType] : ( ( set(X0) * set(X0) ) > X0 ) ).

tff(func_def_3490,type,
    sK3177: 
      !>[X0: $tType] : ( ( set(X0) * set(X0) ) > X0 ) ).

tff(func_def_3491,type,
    sK3178: filter(nat) > nat ).

tff(func_def_3492,type,
    sK3179: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,$o) * fun(X1,X0) ) > X1 ) ).

tff(func_def_3493,type,
    sK3180: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,$o) * fun(X1,X0) ) > X1 ) ).

tff(func_def_3494,type,
    sK3181: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * fun(X0,$o) * fun(X0,X1) ) > X0 ) ).

tff(func_def_3495,type,
    sK3182: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,$o) * fun(X0,$o) * fun(X0,X1) ) > X0 ) ).

tff(func_def_3496,type,
    sK3183: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_3497,type,
    sK3184: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_3498,type,
    sK3185: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_3499,type,
    sK3186: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_3500,type,
    sK3187: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_3501,type,
    sK3188: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_3502,type,
    sK3189: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * filter(X1) * X0 ) > X0 ) ).

tff(func_def_3503,type,
    sK3190: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * filter(X1) ) > X0 ) ).

tff(func_def_3504,type,
    sK3191: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * filter(X1) ) > X0 ) ).

tff(func_def_3505,type,
    sK3192: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * filter(X1) * X0 ) > X0 ) ).

tff(func_def_3506,type,
    sK3193: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * filter(X1) ) > X0 ) ).

tff(func_def_3507,type,
    sK3194: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * filter(X1) ) > X0 ) ).

tff(func_def_3508,type,
    sK3195: 
      !>[X0: $tType] : ( X0 > fun(nat,set(X0)) ) ).

tff(func_def_3509,type,
    sK3196: 
      !>[X0: $tType] : ( set(filter(X0)) > filter(X0) ) ).

tff(func_def_3510,type,
    sK3197: 
      !>[X0: $tType] : ( ( set(filter(X0)) * fun(X0,$o) ) > filter(X0) ) ).

tff(func_def_3511,type,
    sK3198: 
      !>[X0: $tType] : ( set(filter(X0)) > filter(X0) ) ).

tff(func_def_3512,type,
    sK3199: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X1,$o) * fun(X0,filter(X1)) ) > fun(X0,fun(X1,$o)) ) ).

tff(func_def_3513,type,
    sK3200: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X1,$o) * fun(X0,fun(X1,$o)) ) > X1 ) ).

tff(func_def_3514,type,
    sK3201: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,filter(X1)) * fun(X0,fun(X1,$o)) ) > X0 ) ).

tff(func_def_3515,type,
    sK3202: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X1,$o) * fun(X0,filter(X1)) * X1 ) > X0 ) ).

tff(func_def_3516,type,
    sK3203: 
      !>[X0: $tType,X1: $tType] : ( ( X0 * fun(X1,X0) * filter(X1) ) > X0 ) ).

tff(func_def_3517,type,
    sK3204: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * X0 * filter(X1) ) > X0 ) ).

tff(func_def_3518,type,
    sK3205: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * filter(X1) * X0 ) > X0 ) ).

tff(func_def_3519,type,
    sK3206: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * filter(X1) * X0 ) > X0 ) ).

tff(func_def_3520,type,
    sK3207: 
      !>[X0: $tType] : ( fun(X0,X0) > X0 ) ).

tff(func_def_3521,type,
    sK3208: 
      !>[X0: $tType] : ( fun(X0,X0) > X0 ) ).

tff(func_def_3522,type,
    sK3209: 
      !>[X0: $tType] : X0 ).

tff(func_def_3523,type,
    sK3210: 
      !>[X0: $tType] : X0 ).

tff(func_def_3524,type,
    sK3211: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,$o) * fun(X1,filter(X0)) * set(X1) ) > set(X1) ) ).

tff(func_def_3525,type,
    sK3212: 
      !>[X0: $tType] : ( ( fun(X0,$o) * set(filter(X0)) ) > set(filter(X0)) ) ).

tff(func_def_3526,type,
    sK3213: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,$o) * fun(X1,X0) ) > X1 ) ).

tff(func_def_3527,type,
    sK3214: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,$o) * fun(X1,X0) ) > X1 ) ).

tff(func_def_3528,type,
    sK3215: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * fun(X0,$o) * fun(X0,X1) ) > X0 ) ).

tff(func_def_3529,type,
    sK3216: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,$o) * fun(X0,$o) * fun(X0,X1) ) > X0 ) ).

tff(func_def_3530,type,
    sK3217: 
      !>[X0: $tType] : ( ( fun(X0,$o) * X0 ) > X0 ) ).

tff(func_def_3531,type,
    sK3219: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,filter(X0)) ) > X1 ) ).

tff(func_def_3532,type,
    sK3220: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,filter(X0)) * fun(X0,$o) ) > X1 ) ).

tff(func_def_3533,type,
    sK3221: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,filter(X0)) ) > X1 ) ).

tff(func_def_3534,type,
    sK3222: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,$o) * fun(X1,X0) ) > X1 ) ).

tff(func_def_3535,type,
    sK3223: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,$o) * fun(X1,X0) ) > X1 ) ).

tff(func_def_3536,type,
    sK3224: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * fun(X0,$o) * fun(X0,X1) ) > X0 ) ).

tff(func_def_3537,type,
    sK3225: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,$o) * fun(X0,$o) * fun(X0,X1) ) > X0 ) ).

tff(func_def_3538,type,
    sK3226: 
      !>[X0: $tType] : ( ( fun(X0,$o) * X0 ) > X0 ) ).

tff(func_def_3539,type,
    sK3228: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,fun(X0,$o)) * filter(X1) ) > X0 ) ).

tff(func_def_3540,type,
    sK3229: ( vEBT_VEBT * nat * $o ) > option(product_prod(nat,nat)) ).

tff(func_def_3541,type,
    sK3230: ( vEBT_VEBT * nat * $o ) > nat ).

tff(func_def_3542,type,
    sK3231: ( vEBT_VEBT * nat * $o ) > list(vEBT_VEBT) ).

tff(func_def_3543,type,
    sK3232: ( vEBT_VEBT * nat * $o ) > vEBT_VEBT ).

tff(func_def_3544,type,
    sK3238: ( nat * list(vEBT_VEBT) ) > vEBT_VEBT ).

tff(func_def_3545,type,
    sK3239: list(vEBT_VEBT) > vEBT_VEBT ).

tff(func_def_3546,type,
    sK3240: vEBT_VEBT > nat ).

tff(func_def_3547,type,
    sK3242: list(vEBT_VEBT) > nat ).

tff(func_def_3548,type,
    sK3243: 
      !>[X0: $tType] : ( fun(X0,$o) > X0 ) ).

tff(func_def_3549,type,
    sK3244: 
      !>[X0: $tType] : ( fun(X0,$o) > X0 ) ).

tff(func_def_3550,type,
    sK3245: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,fun(X0,$o)) * filter(X1) ) > fun(X1,X0) ) ).

tff(func_def_3551,type,
    sK3246: 
      !>[X0: $tType] : ( ( set(X0) * fun(X0,$o) ) > X0 ) ).

tff(func_def_3552,type,
    sK3247: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X1,fun(X0,$o)) * filter(X1) ) > X0 ) ).

tff(func_def_3553,type,
    sK3248: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X1,fun(X0,$o)) * filter(X1) ) > X0 ) ).

tff(func_def_3554,type,
    sK3249: set(nat) > nat ).

tff(func_def_3555,type,
    sK3250: set(nat) > nat ).

tff(func_def_3556,type,
    sK3251: ( fun(nat,$o) * nat ) > nat ).

tff(func_def_3557,type,
    sK3252: ( fun(nat,$o) * nat ) > nat ).

tff(func_def_3558,type,
    sK3253: ( fun(nat,$o) * nat ) > nat ).

tff(func_def_3559,type,
    sK3254: ( nat * nat ) > nat ).

tff(func_def_3560,type,
    sK3255: ( nat * nat ) > nat ).

tff(func_def_3561,type,
    sK3256: ( nat * nat ) > nat ).

tff(func_def_3562,type,
    sK3257: ( nat * nat ) > nat ).

tff(func_def_3563,type,
    sK3258: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_3564,type,
    sK3259: 
      !>[X0: $tType] : ( ( fun(X0,$o) * X0 ) > X0 ) ).

tff(func_def_3565,type,
    sK3260: 
      !>[X0: $tType] : ( ( fun(X0,$o) * fun(X0,$o) ) > X0 ) ).

tff(func_def_3566,type,
    sK3261: 
      !>[X0: $tType] : ( ( fun(X0,$o) * X0 ) > X0 ) ).

tff(func_def_3567,type,
    sK3262: ( nat * list(vEBT_VEBT) ) > vEBT_VEBT ).

tff(func_def_3568,type,
    sK3263: list(vEBT_VEBT) > vEBT_VEBT ).

tff(func_def_3569,type,
    sK3264: vEBT_VEBT > nat ).

tff(func_def_3570,type,
    sK3266: list(vEBT_VEBT) > nat ).

tff(func_def_3571,type,
    sK3267: ( vEBT_VEBT * nat ) > option(product_prod(nat,nat)) ).

tff(func_def_3572,type,
    sK3268: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_3573,type,
    sK3269: ( vEBT_VEBT * nat ) > list(vEBT_VEBT) ).

tff(func_def_3574,type,
    sK3270: ( vEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_3575,type,
    sK3273: ( vEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_3576,type,
    sK3276: list(vEBT_VEBT) > vEBT_VEBT ).

tff(func_def_3577,type,
    sK3277: vEBT_VEBT > nat ).

tff(func_def_3578,type,
    sK3278: list(vEBT_VEBT) > nat ).

tff(func_def_3579,type,
    sK3279: ( vEBT_VEBT * nat ) > option(product_prod(nat,nat)) ).

tff(func_def_3580,type,
    sK3280: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_3581,type,
    sK3281: ( vEBT_VEBT * nat ) > list(vEBT_VEBT) ).

tff(func_def_3582,type,
    sK3282: ( vEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_3583,type,
    sK3288: list(vEBT_VEBT) > vEBT_VEBT ).

tff(func_def_3584,type,
    sK3289: vEBT_VEBT > nat ).

tff(func_def_3585,type,
    sK3290: list(vEBT_VEBT) > nat ).

tff(func_def_3586,type,
    sK3293: ( vEBT_VEBT * nat ) > option(product_prod(nat,nat)) ).

tff(func_def_3587,type,
    sK3294: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_3588,type,
    sK3295: ( vEBT_VEBT * nat ) > list(vEBT_VEBT) ).

tff(func_def_3589,type,
    sK3296: ( vEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_3590,type,
    sK3302: ( nat * list(vEBT_VEBT) ) > vEBT_VEBT ).

tff(func_def_3591,type,
    sK3303: list(vEBT_VEBT) > vEBT_VEBT ).

tff(func_def_3592,type,
    sK3304: vEBT_VEBT > nat ).

tff(func_def_3593,type,
    sK3305: list(vEBT_VEBT) > nat ).

tff(func_def_3594,type,
    sK3308: ( vEBT_VEBT * nat ) > option(product_prod(nat,nat)) ).

tff(func_def_3595,type,
    sK3309: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_3596,type,
    sK3310: ( vEBT_VEBT * nat ) > list(vEBT_VEBT) ).

tff(func_def_3597,type,
    sK3311: ( vEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_3598,type,
    sK3317: list(vEBT_VEBT) > vEBT_VEBT ).

tff(func_def_3599,type,
    sK3318: vEBT_VEBT > nat ).

tff(func_def_3600,type,
    sK3319: list(vEBT_VEBT) > nat ).

tff(func_def_3601,type,
    sK3322: ( vEBT_VEBT * nat * $o ) > option(product_prod(nat,nat)) ).

tff(func_def_3602,type,
    sK3323: ( vEBT_VEBT * nat * $o ) > nat ).

tff(func_def_3603,type,
    sK3324: ( vEBT_VEBT * nat * $o ) > list(vEBT_VEBT) ).

tff(func_def_3604,type,
    sK3325: ( vEBT_VEBT * nat * $o ) > vEBT_VEBT ).

tff(func_def_3605,type,
    sK3332: ( nat * list(vEBT_VEBT) ) > vEBT_VEBT ).

tff(func_def_3606,type,
    sK3333: list(vEBT_VEBT) > vEBT_VEBT ).

tff(func_def_3607,type,
    sK3334: vEBT_VEBT > nat ).

tff(func_def_3608,type,
    sK3336: list(vEBT_VEBT) > nat ).

tff(func_def_3609,type,
    sK3337: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_3610,type,
    sK3338: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_3611,type,
    sK3339: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_3612,type,
    sK3340: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_3613,type,
    sK3341: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_3614,type,
    sK3342: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_3615,type,
    sK3343: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_3616,type,
    sK3344: 
      !>[X0: $tType] : ( set(product_prod(X0,X0)) > X0 ) ).

tff(func_def_3617,type,
    sK3345: 
      !>[X0: $tType] : ( set(product_prod(X0,X0)) > X0 ) ).

tff(func_def_3618,type,
    sK3346: 
      !>[X0: $tType] : ( fun(X0,X0) > X0 ) ).

tff(func_def_3619,type,
    sK3347: 
      !>[X0: $tType] : ( fun(X0,X0) > X0 ) ).

tff(func_def_3620,type,
    sK3348: 
      !>[X0: $tType] : X0 ).

tff(func_def_3621,type,
    sK3349: 
      !>[X0: $tType] : X0 ).

tff(func_def_3622,type,
    sK3350: 
      !>[X0: $tType] : ( set(product_prod(X0,X0)) > X0 ) ).

tff(func_def_3623,type,
    sK3351: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_3624,type,
    sK3352: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_3625,type,
    sK3353: 
      !>[X0: $tType] : ( fun(X0,X0) > X0 ) ).

tff(func_def_3626,type,
    sK3354: 
      !>[X0: $tType] : ( fun(X0,X0) > X0 ) ).

tff(func_def_3627,type,
    sK3355: 
      !>[X0: $tType] : X0 ).

tff(func_def_3628,type,
    sK3356: 
      !>[X0: $tType] : X0 ).

tff(func_def_3629,type,
    sK3357: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,$o) * fun(X1,X0) * X0 * set(X0) ) > set(X0) ) ).

tff(func_def_3630,type,
    sK3358: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,$o) * fun(X1,X0) * X0 * set(X0) * set(X0) ) > X1 ) ).

tff(func_def_3631,type,
    sK3359: 
      !>[X0: $tType] : ( list(X0) > X0 ) ).

tff(func_def_3632,type,
    sK3360: 
      !>[X0: $tType] : ( list(X0) > list(X0) ) ).

tff(func_def_3633,type,
    sK3361: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,$o) * fun(X1,X0) * filter(X0) ) > fun(X0,$o) ) ).

tff(func_def_3634,type,
    sK3362: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,$o) * fun(X1,X0) * fun(X0,$o) ) > X1 ) ).

tff(func_def_3635,type,
    sK3363: 
      !>[X0: $tType] : ( set(product_prod(X0,X0)) > X0 ) ).

tff(func_def_3636,type,
    sK3364: 
      !>[X0: $tType] : ( set(product_prod(X0,X0)) > X0 ) ).

tff(func_def_3637,type,
    sK3365: 
      !>[X0: $tType] : ( set(product_prod(X0,X0)) > X0 ) ).

tff(func_def_3638,type,
    sK3366: 
      !>[X0: $tType,X1: $tType] : ( ( filter(X0) * fun(X1,X0) ) > fun(X0,$o) ) ).

tff(func_def_3639,type,
    sK3367: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,$o) * fun(X1,X0) ) > X0 ) ).

tff(func_def_3640,type,
    sK3368: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,$o) * fun(X1,X0) * X0 ) > X1 ) ).

tff(func_def_3641,type,
    sK3369: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,$o) * fun(X1,X0) ) > X0 ) ).

tff(func_def_3642,type,
    sK3370: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,$o) * fun(X1,X0) * X0 ) > X1 ) ).

tff(func_def_3643,type,
    sK3371: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,$o) * fun(X1,X0) ) > X0 ) ).

tff(func_def_3644,type,
    sK3372: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,$o) * fun(X1,X0) * X0 ) > X1 ) ).

tff(func_def_3645,type,
    sK3373: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,$o) * fun(X1,X0) ) > X0 ) ).

tff(func_def_3646,type,
    sK3374: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,$o) * fun(X1,X0) * X0 ) > X1 ) ).

tff(func_def_3647,type,
    sK3375: 
      !>[X0: $tType] : ( ( list(X0) * set(product_prod(X0,X0)) ) > X0 ) ).

tff(func_def_3648,type,
    sK3376: 
      !>[X0: $tType] : ( ( list(X0) * set(product_prod(X0,X0)) ) > X0 ) ).

tff(func_def_3649,type,
    sK3377: 
      !>[X0: $tType] : ( ( list(X0) * set(product_prod(X0,X0)) ) > X0 ) ).

tff(func_def_3650,type,
    sK3378: 
      !>[X0: $tType] : ( set(product_prod(X0,X0)) > X0 ) ).

tff(func_def_3651,type,
    sK3379: 
      !>[X0: $tType] : ( ( list(X0) * set(product_prod(X0,X0)) ) > X0 ) ).

tff(func_def_3652,type,
    sK3380: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,set(X0)) ) > X1 ) ).

tff(func_def_3653,type,
    sK3381: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * set(X1) * fun(X1,set(X0)) ) > set(X1) ) ).

tff(func_def_3654,type,
    sK3382: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * X0 * X0 ) > X0 ) ).

tff(func_def_3655,type,
    sK3383: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * X0 * X1 * X0 ) > X0 ) ).

tff(func_def_3656,type,
    sK3384: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * X0 * X0 ) > X0 ) ).

tff(func_def_3657,type,
    sK3385: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * X0 * X1 * X0 ) > X0 ) ).

tff(func_def_3658,type,
    sK3386: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_3659,type,
    sK3387: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_3660,type,
    sK3388: 
      !>[X0: $tType] : ( ( real * real * fun(real,X0) ) > real ) ).

tff(func_def_3661,type,
    sK3389: 
      !>[X0: $tType] : ( ( real * real * fun(real,X0) ) > X0 ) ).

tff(func_def_3662,type,
    sK3390: 
      !>[X0: $tType] : ( ( real * real * fun(real,X0) ) > real ) ).

tff(func_def_3663,type,
    sK3391: 
      !>[X0: $tType] : ( ( real * real * fun(real,X0) ) > real ) ).

tff(func_def_3664,type,
    sK3392: 
      !>[X0: $tType] : ( ( real * real * fun(real,X0) ) > X0 ) ).

tff(func_def_3665,type,
    sK3393: 
      !>[X0: $tType] : ( ( real * real * fun(real,X0) ) > real ) ).

tff(func_def_3666,type,
    sK3394: 
      !>[X0: $tType] : ( ( real * real * fun(real,X0) ) > real ) ).

tff(func_def_3667,type,
    sK3395: 
      !>[X0: $tType] : ( ( real * real * fun(real,X0) ) > X0 ) ).

tff(func_def_3668,type,
    sK3396: 
      !>[X0: $tType] : ( ( real * real * fun(real,X0) ) > real ) ).

tff(func_def_3669,type,
    sK3397: 
      !>[X0: $tType] : ( ( real * real * fun(real,X0) ) > X0 ) ).

tff(func_def_3670,type,
    sK3398: 
      !>[X0: $tType] : ( ( real * real * fun(real,X0) * X0 ) > real ) ).

tff(func_def_3671,type,
    sK3399: 
      !>[X0: $tType] : ( fun(nat,X0) > X0 ) ).

tff(func_def_3672,type,
    sK3400: 
      !>[X0: $tType] : ( set(set(X0)) > set(X0) ) ).

tff(func_def_3673,type,
    sK3401: 
      !>[X0: $tType] : ( ( set(X0) * set(set(X0)) ) > set(set(X0)) ) ).

tff(func_def_3674,type,
    sK3402: 
      !>[X0: $tType] : ( set(X0) > set(set(X0)) ) ).

tff(func_def_3675,type,
    sK3403: 
      !>[X0: $tType] : ( set(X0) > set(set(X0)) ) ).

tff(func_def_3676,type,
    sK3404: 
      !>[X0: $tType] : ( set(set(X0)) > set(X0) ) ).

tff(func_def_3677,type,
    sK3405: 
      !>[X0: $tType] : ( ( set(X0) * set(set(X0)) ) > set(set(X0)) ) ).

tff(func_def_3678,type,
    sK3406: 
      !>[X0: $tType] : ( ( list(X0) * X0 * list(X0) * set(product_prod(X0,X0)) ) > X0 ) ).

tff(func_def_3679,type,
    sK3407: 
      !>[X0: $tType] : ( ( list(X0) * X0 * list(X0) * set(product_prod(X0,X0)) ) > list(X0) ) ).

tff(func_def_3680,type,
    sK3408: 
      !>[X0: $tType] : ( ( X0 * list(X0) * list(X0) * set(product_prod(X0,X0)) ) > X0 ) ).

tff(func_def_3681,type,
    sK3409: 
      !>[X0: $tType] : ( ( X0 * list(X0) * list(X0) * set(product_prod(X0,X0)) ) > list(X0) ) ).

tff(func_def_3682,type,
    sK3410: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) * set(product_prod(X0,X0)) ) > X0 ) ).

tff(func_def_3683,type,
    sK3411: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) * set(product_prod(X0,X0)) ) > X0 ) ).

tff(func_def_3684,type,
    sK3412: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) * set(product_prod(X0,X0)) ) > list(X0) ) ).

tff(func_def_3685,type,
    sK3413: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) * set(product_prod(X0,X0)) ) > list(X0) ) ).

tff(func_def_3686,type,
    sK3414: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) * set(product_prod(X0,X0)) ) > X0 ) ).

tff(func_def_3687,type,
    sK3415: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) * set(product_prod(X0,X0)) ) > nat ) ).

tff(func_def_3688,type,
    sK3416: 
      !>[X0: $tType] : ( ( fun(nat,X0) * X0 ) > real ) ).

tff(func_def_3689,type,
    sK3417: 
      !>[X0: $tType] : ( ( fun(nat,X0) * X0 * real ) > nat ) ).

tff(func_def_3690,type,
    sK3418: 
      !>[X0: $tType] : ( ( fun(nat,X0) * X0 * nat ) > nat ) ).

tff(func_def_3691,type,
    sK3419: 
      !>[X0: $tType] : ( fun(nat,X0) > real ) ).

tff(func_def_3692,type,
    sK3420: 
      !>[X0: $tType] : ( ( fun(nat,X0) * real ) > nat ) ).

tff(func_def_3693,type,
    sK3421: 
      !>[X0: $tType] : ( ( fun(nat,X0) * nat ) > nat ) ).

tff(func_def_3694,type,
    sK3422: 
      !>[X0: $tType] : ( ( fun(nat,X0) * nat ) > nat ) ).

tff(func_def_3695,type,
    sK3423: 
      !>[X0: $tType] : ( fun(nat,X0) > real ) ).

tff(func_def_3696,type,
    sK3424: 
      !>[X0: $tType] : ( ( fun(nat,X0) * real ) > nat ) ).

tff(func_def_3697,type,
    sK3425: 
      !>[X0: $tType] : ( ( fun(nat,X0) * nat ) > nat ) ).

tff(func_def_3698,type,
    sK3426: 
      !>[X0: $tType] : ( ( fun(nat,X0) * real ) > nat ) ).

tff(func_def_3699,type,
    sK3427: 
      !>[X0: $tType] : ( fun(nat,X0) > real ) ).

tff(func_def_3700,type,
    sK3428: 
      !>[X0: $tType] : ( ( fun(nat,X0) * nat ) > nat ) ).

tff(func_def_3701,type,
    sK3429: 
      !>[X0: $tType] : ( ( fun(nat,X0) * nat ) > nat ) ).

tff(func_def_3702,type,
    sK3430: 
      !>[X0: $tType] : ( fun(nat,X0) > real ) ).

tff(func_def_3703,type,
    sK3431: 
      !>[X0: $tType] : ( ( fun(nat,X0) * real ) > nat ) ).

tff(func_def_3704,type,
    sK3432: 
      !>[X0: $tType] : ( ( fun(nat,X0) * nat ) > nat ) ).

tff(func_def_3705,type,
    sK3433: 
      !>[X0: $tType] : ( ( fun(nat,X0) * nat ) > nat ) ).

tff(func_def_3706,type,
    sK3434: 
      !>[X0: $tType] : ( fun(nat,X0) > real ) ).

tff(func_def_3707,type,
    sK3435: 
      !>[X0: $tType] : ( ( fun(nat,X0) * nat ) > nat ) ).

tff(func_def_3708,type,
    sK3436: 
      !>[X0: $tType] : ( ( fun(nat,X0) * nat ) > nat ) ).

tff(func_def_3709,type,
    sK3437: 
      !>[X0: $tType] : ( ( fun(nat,X0) * X0 * real ) > nat ) ).

tff(func_def_3710,type,
    sK3438: 
      !>[X0: $tType] : ( ( fun(nat,X0) * X0 ) > real ) ).

tff(func_def_3711,type,
    sK3439: 
      !>[X0: $tType] : ( ( fun(nat,X0) * X0 * nat ) > nat ) ).

tff(func_def_3712,type,
    sK3440: 
      !>[X0: $tType] : ( ( fun(nat,X0) * X0 ) > real ) ).

tff(func_def_3713,type,
    sK3441: 
      !>[X0: $tType] : ( ( fun(nat,X0) * X0 * real ) > nat ) ).

tff(func_def_3714,type,
    sK3442: 
      !>[X0: $tType] : ( ( fun(nat,X0) * X0 * nat ) > nat ) ).

tff(func_def_3715,type,
    sK3443: 
      !>[X0: $tType] : ( fun(nat,X0) > nat ) ).

tff(func_def_3716,type,
    sK3444: 
      !>[X0: $tType] : ( ( fun(nat,X0) * nat ) > nat ) ).

tff(func_def_3717,type,
    sK3445: 
      !>[X0: $tType] : ( ( fun(nat,X0) * nat ) > nat ) ).

tff(func_def_3718,type,
    sK3446: 
      !>[X0: $tType] : ( ( fun(nat,X0) * nat ) > nat ) ).

tff(func_def_3719,type,
    sK3447: 
      !>[X0: $tType] : ( set(X0) > real ) ).

tff(func_def_3720,type,
    sK3448: 
      !>[X0: $tType] : ( ( set(X0) * real ) > set(X0) ) ).

tff(func_def_3721,type,
    sK3449: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,option(X1)) * X0 * X1 ) > X0 ) ).

tff(func_def_3722,type,
    sK3450: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( X0 * X1 * set(product_prod(X0,X2)) * set(product_prod(X2,X1)) ) > X2 ) ).

tff(func_def_3723,type,
    sK3451: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( product_prod(X0,X1) * set(product_prod(X0,X2)) * set(product_prod(X2,X1)) ) > X0 ) ).

tff(func_def_3724,type,
    sK3452: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( product_prod(X0,X1) * set(product_prod(X0,X2)) * set(product_prod(X2,X1)) ) > X2 ) ).

tff(func_def_3725,type,
    sK3453: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( product_prod(X0,X1) * set(product_prod(X0,X2)) * set(product_prod(X2,X1)) ) > X1 ) ).

tff(func_def_3726,type,
    sK3454: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( X0 * X1 * set(product_prod(X0,X2)) * set(product_prod(X2,X1)) ) > X0 ) ).

tff(func_def_3727,type,
    sK3455: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( X0 * X1 * set(product_prod(X0,X2)) * set(product_prod(X2,X1)) ) > X2 ) ).

tff(func_def_3728,type,
    sK3456: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( X0 * X1 * set(product_prod(X0,X2)) * set(product_prod(X2,X1)) ) > X1 ) ).

tff(func_def_3729,type,
    sK3457: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( X0 * X1 * set(product_prod(X0,X2)) * set(product_prod(X2,X1)) ) > X2 ) ).

tff(func_def_3730,type,
    sK3458: 
      !>[X0: $tType] : ( ( nat * set(product_prod(X0,X0)) * X0 * X0 ) > X0 ) ).

tff(func_def_3731,type,
    sK3459: 
      !>[X0: $tType] : ( ( X0 * X0 * nat * set(product_prod(X0,X0)) ) > X0 ) ).

tff(func_def_3732,type,
    sK3460: 
      !>[X0: $tType] : ( ( X0 * X0 * nat * set(product_prod(X0,X0)) ) > X0 ) ).

tff(func_def_3733,type,
    sK3461: 
      !>[X0: $tType] : ( ( X0 * X0 * nat * set(product_prod(X0,X0)) ) > X0 ) ).

tff(func_def_3734,type,
    sK3462: 
      !>[X0: $tType] : ( ( X0 * X0 * nat * set(product_prod(X0,X0)) ) > X0 ) ).

tff(func_def_3735,type,
    sK3463: 
      !>[X0: $tType] : ( ( X0 * X0 * nat * set(product_prod(X0,X0)) ) > nat ) ).

tff(func_def_3736,type,
    sK3464: 
      !>[X0: $tType] : ( ( X0 * X0 * nat * set(product_prod(X0,X0)) ) > X0 ) ).

tff(func_def_3737,type,
    sK3465: 
      !>[X0: $tType] : ( ( X0 * X0 * nat * set(product_prod(X0,X0)) ) > nat ) ).

tff(func_def_3738,type,
    sK3466: 
      !>[X0: $tType] : ( ( X0 * X0 * nat * set(product_prod(X0,X0)) ) > fun(nat,X0) ) ).

tff(func_def_3739,type,
    sK3467: 
      !>[X0: $tType] : ( ( nat * set(product_prod(X0,X0)) * fun(nat,X0) ) > nat ) ).

tff(func_def_3740,type,
    sK3468: 
      !>[X0: $tType] : ( ( X0 * X0 * set(product_prod(X0,X0)) ) > X0 ) ).

tff(func_def_3741,type,
    sK3469: 
      !>[X0: $tType] : ( ( X0 * X0 * set(product_prod(X0,X0)) ) > X0 ) ).

tff(func_def_3742,type,
    sK3470: 
      !>[X0: $tType] : ( ( X0 * X0 * set(product_prod(X0,X0)) ) > X0 ) ).

tff(func_def_3743,type,
    sK3471: 
      !>[X0: $tType] : ( ( X0 * X0 * set(product_prod(X0,X0)) ) > X0 ) ).

tff(func_def_3744,type,
    sK3472: 
      !>[X0: $tType] : ( ( X0 * X0 * set(product_prod(X0,X0)) ) > X0 ) ).

tff(func_def_3745,type,
    sK3473: 
      !>[X0: $tType] : ( ( X0 * X0 * set(product_prod(X0,X0)) ) > X0 ) ).

tff(func_def_3746,type,
    sK3474: 
      !>[X0: $tType] : ( ( X0 * X0 * set(product_prod(X0,X0)) ) > X0 ) ).

tff(func_def_3747,type,
    sK3475: 
      !>[X0: $tType] : ( ( X0 * set(product_prod(X0,X0)) * fun(X0,$o) ) > X0 ) ).

tff(func_def_3748,type,
    sK3476: 
      !>[X0: $tType] : ( ( X0 * set(product_prod(X0,X0)) * fun(X0,$o) ) > X0 ) ).

tff(func_def_3749,type,
    sK3477: 
      !>[X0: $tType] : ( ( X0 * set(product_prod(X0,X0)) * fun(X0,$o) ) > X0 ) ).

tff(func_def_3750,type,
    sK3478: 
      !>[X0: $tType] : ( ( X0 * X0 * set(product_prod(X0,X0)) ) > X0 ) ).

tff(func_def_3751,type,
    sK3479: 
      !>[X0: $tType] : ( set(product_prod(X0,X0)) > X0 ) ).

tff(func_def_3752,type,
    sK3480: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * fun(X0,fun(X0,$o)) ) > X0 ) ).

tff(func_def_3753,type,
    sK3481: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * fun(X0,fun(X0,$o)) ) > X0 ) ).

tff(func_def_3754,type,
    sK3482: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * fun(X0,fun(X0,$o)) ) > X0 ) ).

tff(func_def_3755,type,
    sK3483: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * fun(X0,fun(X0,$o)) ) > X0 ) ).

tff(func_def_3756,type,
    sK3484: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * fun(X0,fun(X0,$o)) ) > X0 ) ).

tff(func_def_3757,type,
    sK3485: 
      !>[X0: $tType] : ( ( X0 * set(product_prod(X0,X0)) * fun(X0,$o) ) > X0 ) ).

tff(func_def_3758,type,
    sK3486: 
      !>[X0: $tType] : ( ( X0 * set(product_prod(X0,X0)) * fun(X0,$o) ) > X0 ) ).

tff(func_def_3759,type,
    sK3487: 
      !>[X0: $tType] : ( ( X0 * set(product_prod(X0,X0)) * fun(X0,$o) ) > X0 ) ).

tff(func_def_3760,type,
    sK3488: 
      !>[X0: $tType,X1: $tType] : ( ( X0 * X1 * set(product_prod(product_prod(X0,X1),product_prod(X0,X1))) * fun(X0,fun(X1,$o)) ) > X0 ) ).

tff(func_def_3761,type,
    sK3489: 
      !>[X0: $tType,X1: $tType] : ( ( X0 * X1 * set(product_prod(product_prod(X0,X1),product_prod(X0,X1))) * fun(X0,fun(X1,$o)) ) > X1 ) ).

tff(func_def_3762,type,
    sK3490: 
      !>[X0: $tType,X1: $tType] : ( ( X0 * X1 * set(product_prod(product_prod(X0,X1),product_prod(X0,X1))) * fun(X0,fun(X1,$o)) ) > X0 ) ).

tff(func_def_3763,type,
    sK3491: 
      !>[X0: $tType,X1: $tType] : ( ( X0 * X1 * set(product_prod(product_prod(X0,X1),product_prod(X0,X1))) * fun(X0,fun(X1,$o)) ) > X1 ) ).

tff(func_def_3764,type,
    sK3492: 
      !>[X0: $tType,X1: $tType] : ( ( X0 * X1 * set(product_prod(product_prod(X0,X1),product_prod(X0,X1))) * fun(X0,fun(X1,$o)) ) > X0 ) ).

tff(func_def_3765,type,
    sK3493: 
      !>[X0: $tType,X1: $tType] : ( ( X0 * X1 * set(product_prod(product_prod(X0,X1),product_prod(X0,X1))) * fun(X0,fun(X1,$o)) ) > X1 ) ).

tff(func_def_3766,type,
    sK3494: 
      !>[X0: $tType] : ( ( set(X0) * set(product_prod(X0,X0)) * X0 ) > X0 ) ).

tff(func_def_3767,type,
    sK3495: 
      !>[X0: $tType] : ( ( set(X0) * set(X0) * set(product_prod(X0,X0)) ) > X0 ) ).

tff(func_def_3768,type,
    sK3496: 
      !>[X0: $tType] : ( ( set(X0) * set(product_prod(X0,X0)) * X0 ) > X0 ) ).

tff(func_def_3769,type,
    sK3497: 
      !>[X0: $tType] : ( ( set(X0) * set(X0) * set(product_prod(X0,X0)) ) > X0 ) ).

tff(func_def_3770,type,
    sK3498: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,fun(X0,X0)) * fun(X1,fun(X0,X0)) * set(X1) ) > X1 ) ).

tff(func_def_3771,type,
    sK3499: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,set(X1)) ) > X0 ) ).

tff(func_def_3772,type,
    sK3500: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * set(X0) * fun(X0,set(X1)) ) > set(X0) ) ).

tff(func_def_3773,type,
    sK3501: 
      !>[X0: $tType] : ( fun(nat,X0) > real ) ).

tff(func_def_3774,type,
    sK3502: 
      !>[X0: $tType] : ( fun(nat,X0) > X0 ) ).

tff(func_def_3775,type,
    sK3503: 
      !>[X0: $tType] : ( ( fun(nat,X0) * real * X0 ) > nat ) ).

tff(func_def_3776,type,
    sK3504: 
      !>[X0: $tType] : ( fun(nat,X0) > real ) ).

tff(func_def_3777,type,
    sK3505: 
      !>[X0: $tType] : ( fun(nat,X0) > nat ) ).

tff(func_def_3778,type,
    sK3506: 
      !>[X0: $tType] : ( ( fun(nat,X0) * real * nat ) > nat ) ).

tff(func_def_3779,type,
    sK3507: 
      !>[X0: $tType] : ( fun(nat,X0) > nat ) ).

tff(func_def_3780,type,
    sK3508: 
      !>[X0: $tType] : ( ( fun(nat,X0) * nat ) > nat ) ).

tff(func_def_3781,type,
    sK3509: 
      !>[X0: $tType] : ( fun(nat,X0) > nat ) ).

tff(func_def_3782,type,
    sK3510: 
      !>[X0: $tType] : ( ( fun(nat,X0) * nat ) > nat ) ).

tff(func_def_3783,type,
    sK3511: 
      !>[X0: $tType] : ( set(X0) > set(set(X0)) ) ).

tff(func_def_3784,type,
    sK3512: 
      !>[X0: $tType] : ( set(set(X0)) > set(X0) ) ).

tff(func_def_3785,type,
    sK3513: 
      !>[X0: $tType] : ( ( set(X0) * set(set(X0)) ) > set(set(X0)) ) ).

tff(func_def_3786,type,
    sK3514: 
      !>[X0: $tType] : ( set(set(X0)) > set(X0) ) ).

tff(func_def_3787,type,
    sK3515: 
      !>[X0: $tType] : ( ( set(X0) * set(set(X0)) ) > set(set(X0)) ) ).

tff(func_def_3788,type,
    sK3516: 
      !>[X0: $tType] : ( set(product_prod(X0,X0)) > X0 ) ).

tff(func_def_3789,type,
    sK3517: 
      !>[X0: $tType] : ( set(product_prod(X0,X0)) > X0 ) ).

tff(func_def_3790,type,
    sK3518: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_3791,type,
    sK3519: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_3792,type,
    sK3520: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_3793,type,
    sK3521: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_3794,type,
    sK3522: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * set(X1) * X0 * set(X0) ) > X1 ) ).

tff(func_def_3795,type,
    sK3523: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * set(X1) * X0 * set(X0) ) > set(X1) ) ).

tff(func_def_3796,type,
    sK3524: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X1,X0) * set(X1) ) > set(X1) ) ).

tff(func_def_3797,type,
    sK3525: 
      !>[X0: $tType] : ( set(product_prod(X0,X0)) > product_prod(X0,X0) ) ).

tff(func_def_3798,type,
    sK3526: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * set(X0) ) > fun(X1,X0) ) ).

tff(func_def_3799,type,
    sK3527: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * set(X0) ) > fun(X0,X1) ) ).

tff(func_def_3800,type,
    sK3528: 
      !>[X0: $tType,X1: $tType] : ( ( X1 * fun(X0,option(X1)) * set(X0) ) > X0 ) ).

tff(func_def_3801,type,
    sK3529: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,set(X0)) ) > X1 ) ).

tff(func_def_3802,type,
    sK3530: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,set(X0)) ) > X1 ) ).

tff(func_def_3803,type,
    sK3531: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( set(X2) * fun(X2,set(X1)) * fun(X1,X0) ) > X2 ) ).

tff(func_def_3804,type,
    sK3532: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( set(X2) * fun(X1,X0) * fun(X2,set(X1)) ) > X2 ) ).

tff(func_def_3805,type,
    sK3533: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * set(X0) * fun(X1,X0) ) > X0 ) ).

tff(func_def_3806,type,
    sK3534: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,X0) * X0 ) > X1 ) ).

tff(func_def_3807,type,
    sK3535: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * set(X1) * fun(X1,set(X0)) ) > X1 ) ).

tff(func_def_3808,type,
    sK3536: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * set(X1) ) > fun(X0,X1) ) ).

tff(func_def_3809,type,
    sK3537: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * set(X0) ) > fun(X1,X0) ) ).

tff(func_def_3810,type,
    sK3538: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * set(X1) ) > fun(X0,X1) ) ).

tff(func_def_3811,type,
    sK3539: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * set(X1) * fun(set(X0),$o) ) > set(X0) ) ).

tff(func_def_3812,type,
    sK3540: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * set(X1) * fun(set(X0),$o) ) > set(X1) ) ).

tff(func_def_3813,type,
    sK3541: ( set(nat) * nat ) > nat ).

tff(func_def_3814,type,
    sK3542: 
      !>[X0: $tType] : ( ( list(X0) * set(nat) ) > nat ) ).

tff(func_def_3815,type,
    sK3543: 
      !>[X0: $tType] : ( set(X0) > fun(nat,X0) ) ).

tff(func_def_3816,type,
    sK3544: 
      !>[X0: $tType] : ( set(X0) > fun(nat,X0) ) ).

tff(func_def_3817,type,
    sK3545: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * set(X1) * fun(set(X0),$o) ) > set(X0) ) ).

tff(func_def_3818,type,
    sK3546: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * set(X1) * fun(set(X0),$o) ) > set(X1) ) ).

tff(func_def_3819,type,
    sK3547: 
      !>[X0: $tType,X1: $tType] : ( fun(X0,option(X1)) > X0 ) ).

tff(func_def_3820,type,
    sK3548: 
      !>[X0: $tType,X1: $tType] : ( ( X0 * fun(X0,option(X1)) ) > X1 ) ).

tff(func_def_3821,type,
    sK3549: 
      !>[X0: $tType,X1: $tType] : ( fun(X0,option(X1)) > X0 ) ).

tff(func_def_3822,type,
    sK3550: 
      !>[X0: $tType,X1: $tType] : ( fun(fun(X1,option(X0)),$o) > X1 ) ).

tff(func_def_3823,type,
    sK3551: 
      !>[X0: $tType,X1: $tType] : ( fun(fun(X1,option(X0)),$o) > X0 ) ).

tff(func_def_3824,type,
    sK3552: 
      !>[X0: $tType,X1: $tType] : ( fun(fun(X1,option(X0)),$o) > fun(X1,option(X0)) ) ).

tff(func_def_3825,type,
    sK3553: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,option(X1)) * X0 ) > X1 ) ).

tff(func_def_3826,type,
    sK3554: 
      !>[X0: $tType] : ( ( X0 * X0 * set(product_prod(X0,X0)) ) > X0 ) ).

tff(func_def_3827,type,
    sK3555: 
      !>[X0: $tType] : ( ( X0 * X0 * set(product_prod(X0,X0)) ) > X0 ) ).

tff(func_def_3828,type,
    sK3556: 
      !>[X0: $tType] : ( ( X0 * set(product_prod(X0,X0)) * set(product_prod(X0,X0)) ) > X0 ) ).

tff(func_def_3829,type,
    sK3557: 
      !>[X0: $tType] : ( ( X0 * set(product_prod(X0,X0)) * set(product_prod(X0,X0)) ) > X0 ) ).

tff(func_def_3830,type,
    sK3558: 
      !>[X0: $tType] : ( ( X0 * set(product_prod(X0,X0)) * set(product_prod(X0,X0)) ) > X0 ) ).

tff(func_def_3831,type,
    sK3559: 
      !>[X0: $tType] : ( ( X0 * set(product_prod(X0,X0)) * set(product_prod(X0,X0)) ) > X0 ) ).

tff(func_def_3832,type,
    sK3560: 
      !>[X0: $tType] : ( ( X0 * X0 * set(product_prod(X0,X0)) ) > X0 ) ).

tff(func_def_3833,type,
    sK3561: 
      !>[X0: $tType] : ( ( X0 * X0 * set(product_prod(X0,X0)) ) > X0 ) ).

tff(func_def_3834,type,
    sK3562: 
      !>[X0: $tType] : ( ( X0 * X0 * set(product_prod(X0,X0)) ) > X0 ) ).

tff(func_def_3835,type,
    sK3563: 
      !>[X0: $tType] : ( ( X0 * X0 * set(product_prod(X0,X0)) ) > X0 ) ).

tff(func_def_3836,type,
    sK3564: 
      !>[X0: $tType] : ( ( X0 * X0 ) > X0 ) ).

tff(func_def_3837,type,
    sK3565: 
      !>[X0: $tType] : ( ( X0 * X0 * set(product_prod(X0,X0)) ) > X0 ) ).

tff(func_def_3838,type,
    sK3566: 
      !>[X0: $tType] : ( ( X0 * set(product_prod(X0,X0)) * fun(X0,$o) ) > X0 ) ).

tff(func_def_3839,type,
    sK3567: 
      !>[X0: $tType] : ( ( X0 * set(product_prod(X0,X0)) * fun(X0,$o) ) > X0 ) ).

tff(func_def_3840,type,
    sK3568: 
      !>[X0: $tType] : ( ( X0 * X0 * set(product_prod(X0,X0)) ) > X0 ) ).

tff(func_def_3841,type,
    sK3569: 
      !>[X0: $tType] : ( ( X0 * set(product_prod(X0,X0)) * fun(X0,$o) ) > X0 ) ).

tff(func_def_3842,type,
    sK3570: 
      !>[X0: $tType] : ( ( X0 * set(product_prod(X0,X0)) * fun(X0,$o) ) > X0 ) ).

tff(func_def_3843,type,
    sK3571: 
      !>[X0: $tType,X1: $tType] : ( ( X0 * X1 * set(product_prod(product_prod(X0,X1),product_prod(X0,X1))) * fun(X0,fun(X1,$o)) ) > X0 ) ).

tff(func_def_3844,type,
    sK3572: 
      !>[X0: $tType,X1: $tType] : ( ( X0 * X1 * set(product_prod(product_prod(X0,X1),product_prod(X0,X1))) * fun(X0,fun(X1,$o)) ) > X1 ) ).

tff(func_def_3845,type,
    sK3573: 
      !>[X0: $tType,X1: $tType] : ( ( X0 * X1 * set(product_prod(product_prod(X0,X1),product_prod(X0,X1))) * fun(X0,fun(X1,$o)) ) > X0 ) ).

tff(func_def_3846,type,
    sK3574: 
      !>[X0: $tType,X1: $tType] : ( ( X0 * X1 * set(product_prod(product_prod(X0,X1),product_prod(X0,X1))) * fun(X0,fun(X1,$o)) ) > X1 ) ).

tff(func_def_3847,type,
    sK3575: 
      !>[X0: $tType,X1: $tType] : ( ( X1 * X0 * X1 * X0 * set(product_prod(product_prod(X1,X0),product_prod(X1,X0))) ) > X1 ) ).

tff(func_def_3848,type,
    sK3576: 
      !>[X0: $tType,X1: $tType] : ( ( X1 * X0 * X1 * X0 * set(product_prod(product_prod(X1,X0),product_prod(X1,X0))) ) > X0 ) ).

tff(func_def_3849,type,
    sK3577: 
      !>[X0: $tType,X1: $tType] : ( ( X0 * X1 * set(product_prod(product_prod(X0,X1),product_prod(X0,X1))) * fun(X0,fun(X1,$o)) ) > X0 ) ).

tff(func_def_3850,type,
    sK3578: 
      !>[X0: $tType,X1: $tType] : ( ( X0 * X1 * set(product_prod(product_prod(X0,X1),product_prod(X0,X1))) * fun(X0,fun(X1,$o)) ) > X1 ) ).

tff(func_def_3851,type,
    sK3579: 
      !>[X0: $tType,X1: $tType] : ( ( X0 * X1 * set(product_prod(product_prod(X0,X1),product_prod(X0,X1))) * fun(X0,fun(X1,$o)) ) > X0 ) ).

tff(func_def_3852,type,
    sK3580: 
      !>[X0: $tType,X1: $tType] : ( ( X0 * X1 * set(product_prod(product_prod(X0,X1),product_prod(X0,X1))) * fun(X0,fun(X1,$o)) ) > X1 ) ).

tff(func_def_3853,type,
    sK3581: 
      !>[X0: $tType,X1: $tType] : ( ( list(X1) * fun(X1,list(X0)) * fun(X1,list(X0)) ) > X1 ) ).

tff(func_def_3854,type,
    sK3582: 
      !>[X0: $tType] : ( ( set(X0) * fun(set(X0),$o) ) > set(X0) ) ).

tff(func_def_3855,type,
    sK3583: 
      !>[X0: $tType] : ( ( list(X0) * set(nat) ) > nat ) ).

tff(func_def_3856,type,
    sK3584: 
      !>[X0: $tType] : ( ( fun(set(X0),$o) * set(X0) ) > set(X0) ) ).

tff(func_def_3857,type,
    sK3585: 
      !>[X0: $tType] : ( ( fun(set(X0),$o) * set(X0) * set(X0) ) > set(X0) ) ).

tff(func_def_3858,type,
    sK3586: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,set(X0)) * set(X0) * filter(X1) ) > set(X0) ) ).

tff(func_def_3859,type,
    sK3587: 
      !>[X0: $tType] : ( product_prod(X0,X0) > X0 ) ).

tff(func_def_3860,type,
    sK3588: 
      !>[X0: $tType] : ( ( nat * list(X0) * list(X0) ) > nat ) ).

tff(func_def_3861,type,
    sK3589: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) * set(product_prod(X0,X0)) ) > nat ) ).

tff(func_def_3862,type,
    sK3590: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) * set(product_prod(X0,X0)) ) > nat ) ).

tff(func_def_3863,type,
    sK3591: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_3864,type,
    sK3592: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_3865,type,
    sK3593: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_3866,type,
    sK3594: 
      !>[X0: $tType,X1: $tType] : ( ( list(X0) * list(X1) * fun(list(product_prod(X0,X1)),$o) ) > list(X0) ) ).

tff(func_def_3867,type,
    sK3595: 
      !>[X0: $tType,X1: $tType] : ( ( list(X0) * list(X1) * fun(list(product_prod(X0,X1)),$o) ) > list(X1) ) ).

tff(func_def_3868,type,
    sK3596: 
      !>[X0: $tType,X1: $tType] : ( ( list(X0) * list(X1) * fun(list(product_prod(X0,X1)),$o) ) > nat ) ).

tff(func_def_3869,type,
    sK3597: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_3870,type,
    sK3598: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_3871,type,
    sK3599: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_3872,type,
    sK3600: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_3873,type,
    sK3601: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_3874,type,
    sK3602: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_3875,type,
    sK3603: 
      !>[X0: $tType,X1: $tType] : ( ( list(X0) * list(X1) * product_prod(X0,X1) * list(product_prod(X0,X1)) ) > X0 ) ).

tff(func_def_3876,type,
    sK3604: 
      !>[X0: $tType,X1: $tType] : ( ( list(X0) * list(X1) * product_prod(X0,X1) * list(product_prod(X0,X1)) ) > list(X0) ) ).

tff(func_def_3877,type,
    sK3605: 
      !>[X0: $tType,X1: $tType] : ( ( list(X0) * list(X1) * product_prod(X0,X1) * list(product_prod(X0,X1)) ) > X1 ) ).

tff(func_def_3878,type,
    sK3606: 
      !>[X0: $tType,X1: $tType] : ( ( list(X0) * list(X1) * product_prod(X0,X1) * list(product_prod(X0,X1)) ) > list(X1) ) ).

tff(func_def_3879,type,
    sK3607: 
      !>[X0: $tType,X1: $tType] : ( ( list(X0) * list(X1) * X1 ) > X0 ) ).

tff(func_def_3880,type,
    sK3608: 
      !>[X0: $tType,X1: $tType] : ( ( list(X0) * list(X1) * X0 ) > X1 ) ).

tff(func_def_3881,type,
    sK3609: 
      !>[X0: $tType] : ( fun(X0,X0) > X0 ) ).

tff(func_def_3882,type,
    sK3610: 
      !>[X0: $tType] : ( fun(X0,X0) > X0 ) ).

tff(func_def_3883,type,
    sK3611: 
      !>[X0: $tType] : X0 ).

tff(func_def_3884,type,
    sK3612: 
      !>[X0: $tType] : X0 ).

tff(func_def_3885,type,
    sK3613: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) ) > product_prod(X0,X0) ) ).

tff(func_def_3886,type,
    sK3614: 
      !>[X0: $tType] : ( ( list(list(X0)) * list(list(X0)) ) > product_prod(list(X0),list(X0)) ) ).

tff(func_def_3887,type,
    sK3615: 
      !>[X0: $tType] : ( ( list(list(X0)) * list(list(X0)) ) > product_prod(list(X0),list(X0)) ) ).

tff(func_def_3888,type,
    sK3616: 
      !>[X0: $tType,X1: $tType] : ( ( product_prod(X0,X1) * list(X0) * list(X1) ) > nat ) ).

tff(func_def_3889,type,
    sK3617: 
      !>[X0: $tType,X1: $tType] : ( ( list(X1) * list(X0) * set(product_prod(X1,X0)) ) > product_prod(X1,X0) ) ).

tff(func_def_3890,type,
    sK3618: 
      !>[X0: $tType,X1: $tType] : ( ( list(X1) * X0 * list(X0) * set(product_prod(X1,X0)) ) > X1 ) ).

tff(func_def_3891,type,
    sK3619: 
      !>[X0: $tType,X1: $tType] : ( ( list(X1) * X0 * list(X0) * set(product_prod(X1,X0)) ) > list(X1) ) ).

tff(func_def_3892,type,
    sK3620: 
      !>[X0: $tType,X1: $tType] : ( ( X1 * list(X1) * list(X0) * set(product_prod(X1,X0)) ) > X0 ) ).

tff(func_def_3893,type,
    sK3621: 
      !>[X0: $tType,X1: $tType] : ( ( X1 * list(X1) * list(X0) * set(product_prod(X1,X0)) ) > list(X0) ) ).

tff(func_def_3894,type,
    sK3622: 
      !>[X0: $tType,X1: $tType] : ( ( list(X1) * list(X0) * set(product_prod(X1,X0)) ) > X1 ) ).

tff(func_def_3895,type,
    sK3623: 
      !>[X0: $tType,X1: $tType] : ( ( list(X1) * list(X0) * set(product_prod(X1,X0)) ) > X0 ) ).

tff(func_def_3896,type,
    sK3624: 
      !>[X0: $tType,X1: $tType] : ( ( list(X1) * list(X0) * set(product_prod(X1,X0)) ) > list(X1) ) ).

tff(func_def_3897,type,
    sK3625: 
      !>[X0: $tType,X1: $tType] : ( ( list(X1) * list(X0) * set(product_prod(X1,X0)) ) > list(X0) ) ).

tff(func_def_3898,type,
    sK3626: 
      !>[X0: $tType,X1: $tType] : ( ( list(X1) * list(X0) * set(product_prod(X1,X0)) ) > X1 ) ).

tff(func_def_3899,type,
    sK3627: 
      !>[X0: $tType,X1: $tType] : ( ( list(X1) * list(X0) * set(product_prod(X1,X0)) ) > X0 ) ).

tff(func_def_3900,type,
    sK3628: 
      !>[X0: $tType,X1: $tType] : ( ( list(X1) * list(X0) * set(product_prod(X1,X0)) ) > list(X1) ) ).

tff(func_def_3901,type,
    sK3629: 
      !>[X0: $tType,X1: $tType] : ( ( list(X1) * list(X0) * set(product_prod(X1,X0)) ) > list(X0) ) ).

tff(func_def_3902,type,
    sK3630: 
      !>[X0: $tType,X1: $tType] : ( ( list(X1) * list(X0) * set(product_prod(X1,X0)) ) > nat ) ).

tff(func_def_3903,type,
    sK3631: 
      !>[X0: $tType,X1: $tType] : ( ( list(X1) * fun(X0,fun(X1,X0)) * fun(X0,fun(X1,X0)) ) > X0 ) ).

tff(func_def_3904,type,
    sK3632: 
      !>[X0: $tType,X1: $tType] : ( ( list(X1) * fun(X0,fun(X1,X0)) * fun(X0,fun(X1,X0)) ) > X1 ) ).

tff(func_def_3905,type,
    sK3633: 
      !>[X0: $tType,X1: $tType] : ( list(product_prod(X1,X0)) > X1 ) ).

tff(func_def_3906,type,
    sK3634: 
      !>[X0: $tType,X1: $tType] : ( ( X0 * list(product_prod(X0,X1)) ) > X1 ) ).

tff(func_def_3907,type,
    sK3635: 
      !>[X0: $tType,X1: $tType] : ( ( list(X0) * list(X1) * X0 ) > X1 ) ).

tff(func_def_3908,type,
    sK3636: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * list(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_3909,type,
    sK3637: 
      !>[X0: $tType,X1: $tType] : ( ( list(X1) * fun(X1,X0) * fun(X1,X0) ) > X1 ) ).

tff(func_def_3910,type,
    sK3638: 
      !>[X0: $tType,X1: $tType] : ( ( list(X1) * fun(X1,X0) * fun(X1,X0) ) > X1 ) ).

tff(func_def_3911,type,
    sK3639: 
      !>[X0: $tType,X1: $tType] : ( ( list(X1) * list(X1) * fun(X1,X0) * fun(X1,X0) ) > X1 ) ).

tff(func_def_3912,type,
    sK3640: 
      !>[X0: $tType,X1: $tType] : ( ( list(X1) * list(X1) * fun(X1,X0) * fun(X1,X0) ) > X1 ) ).

tff(func_def_3913,type,
    sK3641: 
      !>[X0: $tType,X1: $tType] : ( ( list(X1) * fun(X1,X0) * fun(X1,X0) ) > X1 ) ).

tff(func_def_3914,type,
    sK3642: 
      !>[X0: $tType] : ( ( list(X0) * fun(X0,X0) ) > X0 ) ).

tff(func_def_3915,type,
    sK3643: 
      !>[X0: $tType,X1: $tType] : ( ( list(X1) * fun(X1,X0) * fun(X1,X0) ) > X1 ) ).

tff(func_def_3916,type,
    sK3644: 
      !>[X0: $tType,X1: $tType] : ( ( list(X0) * fun(X1,X0) ) > list(X1) ) ).

tff(func_def_3917,type,
    sK3645: 
      !>[X0: $tType,X1: $tType] : ( ( list(X0) * fun(X1,X0) ) > X0 ) ).

tff(func_def_3918,type,
    sK3646: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * X0 ) > X1 ) ).

tff(func_def_3919,type,
    sK3647: 
      !>[X0: $tType,X1: $tType] : ( ( list(product_prod(X1,X0)) * list(product_prod(X1,X0)) ) > X1 ) ).

tff(func_def_3920,type,
    sK3648: 
      !>[X0: $tType] : ( ( list(X0) * nat * fun(nat,X0) ) > nat ) ).

tff(func_def_3921,type,
    sK3649: 
      !>[X0: $tType] : ( ( list(list(X0)) * nat ) > nat ) ).

tff(func_def_3922,type,
    sK3650: 
      !>[X0: $tType,X1: $tType] : ( ( list(X0) * fun(X0,fun(X1,X1)) * fun(X0,fun(X1,X1)) ) > X1 ) ).

tff(func_def_3923,type,
    sK3651: 
      !>[X0: $tType,X1: $tType] : ( ( list(X0) * fun(X0,fun(X1,X1)) * fun(X0,fun(X1,X1)) ) > X0 ) ).

tff(func_def_3924,type,
    sK3652: 
      !>[X0: $tType] : ( ( list(X0) * fun(X0,$o) ) > X0 ) ).

tff(func_def_3925,type,
    sK3653: 
      !>[X0: $tType] : ( list(X0) > X0 ) ).

tff(func_def_3926,type,
    sK3654: 
      !>[X0: $tType] : ( ( list(X0) * fun(X0,$o) ) > X0 ) ).

tff(func_def_3927,type,
    sK3655: 
      !>[X0: $tType,X1: $tType] : ( ( list(X1) * fun(X1,$o) * fun(X1,X0) ) > X1 ) ).

tff(func_def_3928,type,
    sK3656: 
      !>[X0: $tType] : ( ( fun(X0,$o) * list(X0) ) > X0 ) ).

tff(func_def_3929,type,
    sK3657: 
      !>[X0: $tType] : ( ( fun(X0,$o) * list(X0) ) > X0 ) ).

tff(func_def_3930,type,
    sK3658: 
      !>[X0: $tType] : ( ( fun(X0,$o) * list(X0) ) > X0 ) ).

tff(func_def_3931,type,
    sK3659: 
      !>[X0: $tType] : ( ( list(X0) * fun(X0,$o) * fun(X0,$o) ) > X0 ) ).

tff(func_def_3932,type,
    sK3660: 
      !>[X0: $tType] : ( ( X0 * list(X0) * fun(X0,$o) * list(X0) ) > list(X0) ) ).

tff(func_def_3933,type,
    sK3661: 
      !>[X0: $tType] : ( ( X0 * list(X0) * fun(X0,$o) * list(X0) ) > list(X0) ) ).

tff(func_def_3934,type,
    sK3662: 
      !>[X0: $tType] : ( ( fun(X0,$o) * list(X0) * X0 * list(X0) ) > list(X0) ) ).

tff(func_def_3935,type,
    sK3663: 
      !>[X0: $tType] : ( ( fun(X0,$o) * list(X0) * X0 * list(X0) ) > list(X0) ) ).

tff(func_def_3936,type,
    sK3664: 
      !>[X0: $tType] : ( ( X0 * list(X0) * fun(X0,$o) * list(X0) ) > list(X0) ) ).

tff(func_def_3937,type,
    sK3665: 
      !>[X0: $tType] : ( ( X0 * list(X0) * fun(X0,$o) * list(X0) ) > list(X0) ) ).

tff(func_def_3938,type,
    sK3666: 
      !>[X0: $tType] : ( ( fun(X0,$o) * list(X0) ) > X0 ) ).

tff(func_def_3939,type,
    sK3667: 
      !>[X0: $tType] : ( ( fun(X0,$o) * list(X0) * X0 * list(X0) ) > list(X0) ) ).

tff(func_def_3940,type,
    sK3668: 
      !>[X0: $tType] : ( ( fun(X0,$o) * list(X0) * X0 * list(X0) ) > list(X0) ) ).

tff(func_def_3941,type,
    sK3669: 
      !>[X0: $tType] : ( ( fun(X0,$o) * list(X0) ) > X0 ) ).

tff(func_def_3942,type,
    sK3670: 
      !>[X0: $tType] : ( list(X0) > X0 ) ).

tff(func_def_3943,type,
    sK3671: 
      !>[X0: $tType] : ( list(X0) > X0 ) ).

tff(func_def_3944,type,
    sK3672: 
      !>[X0: $tType] : ( list(X0) > X0 ) ).

tff(func_def_3945,type,
    sK3673: 
      !>[X0: $tType] : ( list(X0) > X0 ) ).

tff(func_def_3946,type,
    sK3674: 
      !>[X0: $tType,X1: $tType] : ( ( list(X1) * fun(X1,X0) * fun(X1,X0) ) > X1 ) ).

tff(func_def_3947,type,
    sK3675: 
      !>[X0: $tType,X1: $tType] : ( ( list(X1) * fun(X1,X0) * fun(X1,X0) ) > X1 ) ).

tff(func_def_3948,type,
    sK3676: 
      !>[X0: $tType] : ( fun(nat,X0) > nat ) ).

tff(func_def_3949,type,
    sK3677: 
      !>[X0: $tType] : ( fun(nat,X0) > nat ) ).

tff(func_def_3950,type,
    sK3678: 
      !>[X0: $tType] : ( ( list(X0) * fun(X0,fun(X0,$o)) * fun(X0,fun(X0,$o)) ) > X0 ) ).

tff(func_def_3951,type,
    sK3679: 
      !>[X0: $tType] : ( ( list(X0) * fun(X0,fun(X0,$o)) * fun(X0,fun(X0,$o)) ) > X0 ) ).

tff(func_def_3952,type,
    sK3680: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,$o)) * list(X0) * list(X0) ) > X0 ) ).

tff(func_def_3953,type,
    sK3681: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,$o)) * list(X0) * list(X0) ) > X0 ) ).

tff(func_def_3954,type,
    sK3682: 
      !>[X0: $tType] : ( ( X0 * list(X0) ) > X0 ) ).

tff(func_def_3955,type,
    sK3683: 
      !>[X0: $tType] : ( ( X0 * list(X0) ) > X0 ) ).

tff(func_def_3956,type,
    sK3684: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) ) > X0 ) ).

tff(func_def_3957,type,
    sK3685: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) ) > X0 ) ).

tff(func_def_3958,type,
    sK3686: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,$o)) * list(X0) ) > X0 ) ).

tff(func_def_3959,type,
    sK3687: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,$o)) * list(X0) ) > list(X0) ) ).

tff(func_def_3960,type,
    sK3688: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,$o)) * list(X0) ) > X0 ) ).

tff(func_def_3961,type,
    sK3689: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,$o)) * X0 * list(X0) ) > X0 ) ).

tff(func_def_3962,type,
    sK3690: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,$o)) * list(X0) ) > nat ) ).

tff(func_def_3963,type,
    sK3691: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,$o)) * list(X0) ) > nat ) ).

tff(func_def_3964,type,
    sK3692: 
      !>[X0: $tType] : ( list(X0) > nat ) ).

tff(func_def_3965,type,
    sK3693: 
      !>[X0: $tType] : ( list(X0) > nat ) ).

tff(func_def_3966,type,
    sK3694: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,$o)) * list(X0) * $o ) > X0 ) ).

tff(func_def_3967,type,
    sK3695: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,$o)) * list(X0) * $o ) > list(X0) ) ).

tff(func_def_3968,type,
    sK3696: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,$o)) * list(X0) * $o ) > X0 ) ).

tff(func_def_3969,type,
    sK3697: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,$o)) * list(X0) ) > X0 ) ).

tff(func_def_3970,type,
    sK3698: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,$o)) * list(X0) ) > list(X0) ) ).

tff(func_def_3971,type,
    sK3699: 
      !>[X0: $tType] : ( set(X0) > list(X0) ) ).

tff(func_def_3972,type,
    sK3700: 
      !>[X0: $tType] : ( list(X0) > nat ) ).

tff(func_def_3973,type,
    sK3701: 
      !>[X0: $tType] : ( list(X0) > nat ) ).

tff(func_def_3974,type,
    sK3702: 
      !>[X0: $tType] : ( list(X0) > nat ) ).

tff(func_def_3975,type,
    sK3703: 
      !>[X0: $tType] : ( set(X0) > list(X0) ) ).

tff(func_def_3976,type,
    sK3704: 
      !>[X0: $tType] : ( ( list(X0) * X0 ) > X0 ) ).

tff(func_def_3977,type,
    sK3705: 
      !>[X0: $tType] : ( list(X0) > nat ) ).

tff(func_def_3978,type,
    sK3706: 
      !>[X0: $tType] : ( list(X0) > nat ) ).

tff(func_def_3979,type,
    sK3707: 
      !>[X0: $tType] : ( list(X0) > nat ) ).

tff(func_def_3980,type,
    sK3708: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,fun(X0,$o)) * fun(X1,X0) * set(X1) ) > list(X1) ) ).

tff(func_def_3981,type,
    sK3709: 
      !>[X0: $tType] : ( ( fun(X0,$o) * list(X0) ) > X0 ) ).

tff(func_def_3982,type,
    sK3710: 
      !>[X0: $tType] : ( ( list(X0) * fun(X0,$o) ) > X0 ) ).

tff(func_def_3983,type,
    sK3711: 
      !>[X0: $tType] : ( ( list(X0) * fun(X0,$o) * fun(X0,$o) ) > X0 ) ).

tff(func_def_3984,type,
    sK3712: 
      !>[X0: $tType] : ( ( fun(X0,$o) * list(X0) ) > X0 ) ).

tff(func_def_3985,type,
    sK3713: 
      !>[X0: $tType] : ( ( nat * fun(X0,$o) * list(X0) ) > nat ) ).

tff(func_def_3986,type,
    sK3714: 
      !>[X0: $tType] : ( ( nat * list(X0) * fun(X0,$o) ) > nat ) ).

tff(func_def_3987,type,
    sK3715: 
      !>[X0: $tType] : ( ( set(X0) * set(product_prod(X0,X0)) ) > X0 ) ).

tff(func_def_3988,type,
    sK3716: 
      !>[X0: $tType] : ( ( set(X0) * set(product_prod(X0,X0)) ) > X0 ) ).

tff(func_def_3989,type,
    sK3717: 
      !>[X0: $tType] : ( ( set(X0) * set(product_prod(X0,X0)) ) > X0 ) ).

tff(func_def_3990,type,
    sK3718: 
      !>[X0: $tType] : ( ( set(X0) * set(product_prod(X0,X0)) ) > X0 ) ).

tff(func_def_3991,type,
    sK3719: 
      !>[X0: $tType] : ( ( list(X0) * fun(X0,$o) * fun(X0,$o) ) > X0 ) ).

tff(func_def_3992,type,
    sK3720: 
      !>[X0: $tType] : ( ( fun(X0,$o) * list(X0) ) > X0 ) ).

tff(func_def_3993,type,
    sK3721: 
      !>[X0: $tType] : ( ( fun(X0,$o) * list(X0) ) > X0 ) ).

tff(func_def_3994,type,
    sK3722: 
      !>[X0: $tType] : ( ( fun(X0,$o) * list(X0) * X0 ) > nat ) ).

tff(func_def_3995,type,
    sK3723: 
      !>[X0: $tType] : ( ( fun(X0,$o) * list(X0) * nat ) > nat ) ).

tff(func_def_3996,type,
    sK3724: 
      !>[X0: $tType] : ( ( X0 * fun(X0,$o) * list(X0) ) > nat ) ).

tff(func_def_3997,type,
    sK3725: 
      !>[X0: $tType] : ( ( fun(X0,$o) * list(X0) * nat ) > nat ) ).

tff(func_def_3998,type,
    sK3726: 
      !>[X0: $tType] : ( fun(X0,$o) > X0 ) ).

tff(func_def_3999,type,
    sK3727: 
      !>[X0: $tType] : ( fun(X0,$o) > X0 ) ).

tff(func_def_4000,type,
    sK3728: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,$o)) * set(X0) * X0 ) > X0 ) ).

tff(func_def_4001,type,
    sK3729: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,$o)) * set(X0) * set(X0) ) > X0 ) ).

tff(func_def_4002,type,
    sK3730: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,$o)) * set(X0) * X0 ) > X0 ) ).

tff(func_def_4003,type,
    sK3731: 
      !>[X0: $tType] : ( ( set(X0) * set(X0) * fun(X0,fun(X0,$o)) ) > X0 ) ).

tff(func_def_4004,type,
    sK3732: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) ) > fun(nat,nat) ) ).

tff(func_def_4005,type,
    sK3733: 
      !>[X0: $tType] : ( ( list(X0) * fun(nat,nat) ) > nat ) ).

tff(func_def_4006,type,
    sK3734: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) * fun(nat,nat) ) > nat ) ).

tff(func_def_4007,type,
    sK3735: 
      !>[X0: $tType] : ( fun(nat,X0) > nat ) ).

tff(func_def_4008,type,
    sK3736: 
      !>[X0: $tType] : ( fun(nat,X0) > nat ) ).

tff(func_def_4009,type,
    sK3737: 
      !>[X0: $tType,X1: $tType] : ( fun(X1,X0) > X1 ) ).

tff(func_def_4010,type,
    sK3738: 
      !>[X0: $tType,X1: $tType] : ( fun(X1,X0) > X1 ) ).

tff(func_def_4011,type,
    sK3739: 
      !>[X0: $tType,X1: $tType] : ( fun(X1,X0) > X1 ) ).

tff(func_def_4012,type,
    sK3740: 
      !>[X0: $tType,X1: $tType] : ( fun(X1,X0) > X1 ) ).

tff(func_def_4013,type,
    sK3741: 
      !>[X0: $tType] : ( fun(nat,X0) > nat ) ).

tff(func_def_4014,type,
    sK3742: 
      !>[X0: $tType] : ( fun(nat,X0) > nat ) ).

tff(func_def_4015,type,
    sK3743: 
      !>[X0: $tType] : ( fun(nat,X0) > nat ) ).

tff(func_def_4016,type,
    sK3744: 
      !>[X0: $tType] : ( fun(nat,X0) > nat ) ).

tff(func_def_4017,type,
    sK3745: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_4018,type,
    sK3746: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_4019,type,
    sK3747: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_4020,type,
    sK3748: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_4021,type,
    sK3749: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_4022,type,
    sK3750: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_4023,type,
    sK3751: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_4024,type,
    sK3752: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_4025,type,
    sK3753: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_4026,type,
    sK3754: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * X0 * fun(X1,X0) ) > X1 ) ).

tff(func_def_4027,type,
    sK3755: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * X0 * fun(X1,X0) ) > X1 ) ).

tff(func_def_4028,type,
    sK3756: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,X0) * X0 ) > X1 ) ).

tff(func_def_4029,type,
    sK3757: 
      !>[X0: $tType] : ( ( set(X0) * set(X0) ) > X0 ) ).

tff(func_def_4030,type,
    sK3758: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_4031,type,
    sK3759: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_4032,type,
    sK3760: 
      !>[X0: $tType] : ( ( set(X0) * set(X0) ) > X0 ) ).

tff(func_def_4033,type,
    sK3761: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_4034,type,
    sK3762: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_4035,type,
    sK3763: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( set(X2) * fun(X0,X1) * set(X0) * fun(X2,X1) ) > X2 ) ).

tff(func_def_4036,type,
    sK3764: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,X0) * X0 ) > X1 ) ).

tff(func_def_4037,type,
    sK3765: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( set(X0) * fun(X2,X1) * set(X2) * fun(X0,X1) ) > X0 ) ).

tff(func_def_4038,type,
    sK3766: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,X1) * X1 ) > X0 ) ).

tff(func_def_4039,type,
    sK3767: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,X1) * X1 ) > X0 ) ).

tff(func_def_4040,type,
    sK3768: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,X0) * X0 ) > X1 ) ).

tff(func_def_4041,type,
    sK3769: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_4042,type,
    sK3770: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,X0) * fun(X1,X0) ) > X1 ) ).

tff(func_def_4043,type,
    sK3771: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,set(X0)) ) > X1 ) ).

tff(func_def_4044,type,
    sK3772: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,set(X0)) ) > X1 ) ).

tff(func_def_4045,type,
    sK3773: 
      !>[X0: $tType] : ( fun(nat,X0) > nat ) ).

tff(func_def_4046,type,
    sK3774: 
      !>[X0: $tType] : ( fun(nat,X0) > nat ) ).

tff(func_def_4047,type,
    sK3775: 
      !>[X0: $tType,X1: $tType] : ( fun(X1,X0) > X1 ) ).

tff(func_def_4048,type,
    sK3776: 
      !>[X0: $tType,X1: $tType] : ( fun(X1,X0) > X1 ) ).

tff(func_def_4049,type,
    sK3777: 
      !>[X0: $tType,X1: $tType] : ( fun(X1,X0) > X1 ) ).

tff(func_def_4050,type,
    sK3778: 
      !>[X0: $tType,X1: $tType] : ( fun(X1,X0) > X1 ) ).

tff(func_def_4051,type,
    sK3779: 
      !>[X0: $tType] : ( fun(nat,X0) > nat ) ).

tff(func_def_4052,type,
    sK3780: 
      !>[X0: $tType] : ( fun(nat,X0) > nat ) ).

tff(func_def_4053,type,
    sK3781: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_4054,type,
    sK3782: ( list(nat) * nat ) > nat ).

tff(func_def_4055,type,
    sK3783: ( list(nat) * nat ) > list(nat) ).

tff(func_def_4056,type,
    sK3784: ( list(nat) * nat ) > nat ).

tff(func_def_4057,type,
    sK3785: ( list(nat) * nat ) > list(nat) ).

tff(func_def_4058,type,
    sK3786: 
      !>[X0: $tType] : ( ( list(X0) * fun(X0,$o) ) > X0 ) ).

tff(func_def_4059,type,
    sK3787: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,$o) * fun(X1,$o) * fun(X0,fun(X1,X1)) ) > X0 ) ).

tff(func_def_4060,type,
    sK3788: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,$o) * fun(X1,$o) * fun(X0,fun(X1,X1)) ) > X1 ) ).

tff(func_def_4061,type,
    sK3789: 
      !>[X0: $tType,X1: $tType] : ( ( list(X0) * fun(X0,fun(X1,X1)) * fun(X0,fun(X1,X1)) ) > X0 ) ).

tff(func_def_4062,type,
    sK3790: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( list(X0) * fun(X2,X1) * fun(X0,fun(X2,X2)) * fun(X0,fun(X1,X1)) ) > X0 ) ).

tff(func_def_4063,type,
    sK3791: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( list(X0) * fun(X2,X1) * fun(X0,fun(X2,X2)) * fun(X0,fun(X1,X1)) ) > X0 ) ).

tff(func_def_4064,type,
    sK3792: 
      !>[X0: $tType,X1: $tType] : ( ( list(X1) * fun(X1,fun(X0,X0)) ) > X1 ) ).

tff(func_def_4065,type,
    sK3793: 
      !>[X0: $tType,X1: $tType] : ( ( list(X1) * fun(X1,fun(X0,X0)) ) > X1 ) ).

tff(func_def_4066,type,
    sK3794: 
      !>[X0: $tType,X1: $tType] : ( ( list(X1) * fun(X1,fun(X0,X0)) ) > X1 ) ).

tff(func_def_4067,type,
    sK3795: 
      !>[X0: $tType,X1: $tType] : ( ( list(X1) * fun(X1,fun(X0,X0)) ) > X1 ) ).

tff(func_def_4068,type,
    sK3796: 
      !>[X0: $tType,X1: $tType] : ( ( list(X1) * fun(X1,fun(X0,X0)) ) > X1 ) ).

tff(func_def_4069,type,
    sK3797: 
      !>[X0: $tType,X1: $tType] : ( ( list(X1) * fun(X1,fun(X0,X0)) ) > X1 ) ).

tff(func_def_4070,type,
    sK3798: 
      !>[X0: $tType] : ( set(X0) > fun(nat,set(X0)) ) ).

tff(func_def_4071,type,
    sK3805: ( num * option(num) ) > num ).

tff(func_def_4072,type,
    sK3806: ( num * option(num) ) > num ).

tff(func_def_4073,type,
    sK3807: ( num * num * option(num) ) > num ).

tff(func_def_4074,type,
    sK3808: ( num * num * option(num) ) > num ).

tff(func_def_4075,type,
    sK3809: ( num * num * option(num) ) > num ).

tff(func_def_4076,type,
    sK3810: ( num * num * option(num) ) > num ).

tff(func_def_4077,type,
    sK3811: ( num * num * option(num) ) > num ).

tff(func_def_4078,type,
    sK3812: ( num * num * option(num) ) > num ).

tff(func_def_4079,type,
    sK3814: ( num * num * option(num) ) > num ).

tff(func_def_4080,type,
    sK3815: ( num * num * option(num) ) > num ).

tff(func_def_4081,type,
    sK3816: ( num * num * option(num) ) > num ).

tff(func_def_4082,type,
    sK3817: ( num * num * option(num) ) > num ).

tff(func_def_4083,type,
    sK3818: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * set(X1) ) > set(X1) ) ).

tff(func_def_4084,type,
    sK3819: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X1,X0) * set(X1) ) > set(X1) ) ).

tff(func_def_4085,type,
    sK3820: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * set(X1) * fun(set(X0),$o) ) > set(X0) ) ).

tff(func_def_4086,type,
    sK3821: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * set(X1) * fun(set(X0),$o) ) > set(X1) ) ).

tff(func_def_4087,type,
    sK3822: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * set(X1) * fun(set(X0),$o) ) > set(X0) ) ).

tff(func_def_4088,type,
    sK3823: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * set(X1) * fun(set(X0),$o) ) > set(X1) ) ).

tff(func_def_4089,type,
    sK3824: 
      !>[X0: $tType] : ( ( set(X0) * set(X0) ) > X0 ) ).

tff(func_def_4090,type,
    sK3825: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_4091,type,
    sK3826: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_4092,type,
    sK3827: 
      !>[X0: $tType] : ( set(X0) > set(X0) ) ).

tff(func_def_4093,type,
    sK3828: 
      !>[X0: $tType] : ( ( set(X0) * set(X0) ) > X0 ) ).

tff(func_def_4094,type,
    sK3829: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_4095,type,
    sK3830: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_4096,type,
    sK3831: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * set(X1) * fun(set(X0),$o) ) > set(X0) ) ).

tff(func_def_4097,type,
    sK3832: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * set(X1) * fun(set(X0),$o) ) > set(X1) ) ).

tff(func_def_4098,type,
    sK3833: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * set(X1) * fun(set(X0),$o) ) > set(X0) ) ).

tff(func_def_4099,type,
    sK3834: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * set(X1) * fun(set(X0),$o) ) > set(X1) ) ).

tff(func_def_4100,type,
    sK3835: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * set(X1) ) > set(X1) ) ).

tff(func_def_4101,type,
    sK3836: 
      !>[X0: $tType] : ( set(X0) > fun(nat,X0) ) ).

tff(func_def_4102,type,
    sK3837: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( set(X0) * set(X2) * fun(X0,X1) * fun(X2,X1) ) > X0 ) ).

tff(func_def_4103,type,
    sK3838: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,X1) * X1 ) > X0 ) ).

tff(func_def_4104,type,
    sK3839: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,X1) * X1 ) > X0 ) ).

tff(func_def_4105,type,
    sK3840: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * X0 * fun(X1,X0) ) > X1 ) ).

tff(func_def_4106,type,
    sK3841: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * X0 * fun(X1,X0) ) > X1 ) ).

tff(func_def_4107,type,
    sK3842: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( set(X0) * set(X2) * fun(X0,X1) * fun(X2,X1) ) > X2 ) ).

tff(func_def_4108,type,
    sK3843: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,X0) * fun(X1,X0) ) > X1 ) ).

tff(func_def_4109,type,
    sK3844: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,X0) * fun(X1,X0) ) > X1 ) ).

tff(func_def_4110,type,
    sK3851: ( num * option(num) ) > num ).

tff(func_def_4111,type,
    sK3852: ( num * option(num) ) > num ).

tff(func_def_4112,type,
    sK3853: ( num * num * option(num) ) > num ).

tff(func_def_4113,type,
    sK3854: ( num * num * option(num) ) > num ).

tff(func_def_4114,type,
    sK3855: ( num * num * option(num) ) > num ).

tff(func_def_4115,type,
    sK3856: ( num * num * option(num) ) > num ).

tff(func_def_4116,type,
    sK3857: ( num * num * option(num) ) > num ).

tff(func_def_4117,type,
    sK3858: ( num * num * option(num) ) > num ).

tff(func_def_4118,type,
    sK3860: ( num * num * option(num) ) > num ).

tff(func_def_4119,type,
    sK3861: ( num * num * option(num) ) > num ).

tff(func_def_4120,type,
    sK3862: ( num * num * option(num) ) > num ).

tff(func_def_4121,type,
    sK3863: ( num * num * option(num) ) > num ).

tff(func_def_4122,type,
    sK3870: ( num * option(num) ) > num ).

tff(func_def_4123,type,
    sK3871: ( num * option(num) ) > num ).

tff(func_def_4124,type,
    sK3872: ( num * num * option(num) ) > num ).

tff(func_def_4125,type,
    sK3873: ( num * num * option(num) ) > num ).

tff(func_def_4126,type,
    sK3874: ( num * num * option(num) ) > num ).

tff(func_def_4127,type,
    sK3875: ( num * num * option(num) ) > num ).

tff(func_def_4128,type,
    sK3876: ( num * num * option(num) ) > num ).

tff(func_def_4129,type,
    sK3877: ( num * num * option(num) ) > num ).

tff(func_def_4130,type,
    sK3879: ( num * num * option(num) ) > num ).

tff(func_def_4131,type,
    sK3880: ( num * num * option(num) ) > num ).

tff(func_def_4132,type,
    sK3881: ( num * num * option(num) ) > num ).

tff(func_def_4133,type,
    sK3882: ( num * num * option(num) ) > num ).

tff(func_def_4134,type,
    sK3889: ( num * num ) > num ).

tff(func_def_4135,type,
    sK3890: ( num * num ) > num ).

tff(func_def_4136,type,
    sK3891: ( num * num * num ) > num ).

tff(func_def_4137,type,
    sK3892: ( num * num * num ) > num ).

tff(func_def_4138,type,
    sK3893: ( num * num * num ) > num ).

tff(func_def_4139,type,
    sK3894: ( num * num * num ) > num ).

tff(func_def_4140,type,
    sK3895: ( num * num * num ) > num ).

tff(func_def_4141,type,
    sK3896: ( num * num * num ) > num ).

tff(func_def_4142,type,
    sK3898: ( num * num * num ) > num ).

tff(func_def_4143,type,
    sK3899: ( num * num * num ) > num ).

tff(func_def_4144,type,
    sK3900: ( num * num * num ) > num ).

tff(func_def_4145,type,
    sK3901: ( num * num * num ) > num ).

tff(func_def_4146,type,
    sK3902: 
      !>[X0: $tType] : ( set(product_prod(X0,X0)) > X0 ) ).

tff(func_def_4147,type,
    sK3903: 
      !>[X0: $tType,X1: $tType] : ( ( set(product_prod(X1,X1)) * fun(X1,X0) ) > X1 ) ).

tff(func_def_4148,type,
    sK3904: 
      !>[X0: $tType,X1: $tType] : ( ( set(product_prod(X1,X1)) * fun(X1,X0) ) > X1 ) ).

tff(func_def_4149,type,
    sK3905: 
      !>[X0: $tType] : ( ( set(X0) * set(product_prod(X0,X0)) * X0 ) > X0 ) ).

tff(func_def_4150,type,
    sK3906: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,fun(X1,X1)) * set(X0) * X1 * X1 * X0 ) > X1 ) ).

tff(func_def_4151,type,
    sK3907: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,fun(X1,X1)) * X1 * set(X0) * X1 ) > X0 ) ).

tff(func_def_4152,type,
    sK3908: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,fun(X1,X1)) * X1 * set(X0) * X1 ) > set(X0) ) ).

tff(func_def_4153,type,
    sK3909: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,fun(X1,X1)) * X1 * set(X0) * X1 ) > X1 ) ).

tff(func_def_4154,type,
    sK3910: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,fun(X1,X1)) * X1 * set(X0) * X1 ) > X0 ) ).

tff(func_def_4155,type,
    sK3911: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,fun(X1,X1)) * X1 * set(X0) * X1 ) > set(X0) ) ).

tff(func_def_4156,type,
    sK3912: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,fun(X1,X1)) * X1 * set(X0) * X1 ) > X1 ) ).

tff(func_def_4157,type,
    sK3913: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,fun(X1,X1)) * X0 * set(X0) * X1 * X1 ) > X1 ) ).

tff(func_def_4158,type,
    sK3914: 
      !>[X0: $tType] : ( set(product_prod(X0,X0)) > set(X0) ) ).

tff(func_def_4159,type,
    sK3915: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * set(X0) ) > X0 ) ).

tff(func_def_4160,type,
    sK3916: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * X0 ) > X0 ) ).

tff(func_def_4161,type,
    sK3917: 
      !>[X0: $tType] : ( fun(nat,X0) > nat ) ).

tff(func_def_4162,type,
    sK3918: 
      !>[X0: $tType] : ( fun(nat,X0) > nat ) ).

tff(func_def_4163,type,
    sK3919: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * set(X0) ) > X0 ) ).

tff(func_def_4164,type,
    sK3920: 
      !>[X0: $tType,X1: $tType] : ( fun(X1,X0) > X1 ) ).

tff(func_def_4165,type,
    sK3921: 
      !>[X0: $tType,X1: $tType] : ( fun(X1,X0) > X1 ) ).

tff(func_def_4166,type,
    sK3922: 
      !>[X0: $tType,X1: $tType] : ( fun(X1,X0) > X1 ) ).

tff(func_def_4167,type,
    sK3923: 
      !>[X0: $tType,X1: $tType] : ( fun(X1,X0) > X1 ) ).

tff(func_def_4168,type,
    sK3924: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * fun(X0,$o) ) > X0 ) ).

tff(func_def_4169,type,
    sK3925: 
      !>[X0: $tType] : ( set(product_prod(X0,X0)) > set(X0) ) ).

tff(func_def_4170,type,
    sK3926: 
      !>[X0: $tType] : ( set(product_prod(X0,X0)) > X0 ) ).

tff(func_def_4171,type,
    sK3927: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * set(X0) ) > X0 ) ).

tff(func_def_4172,type,
    sK3928: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * X0 ) > X0 ) ).

tff(func_def_4173,type,
    sK3929: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * fun(X0,$o) ) > X0 ) ).

tff(func_def_4174,type,
    sK3930: 
      !>[X0: $tType] : ( set(product_prod(X0,X0)) > fun(X0,$o) ) ).

tff(func_def_4175,type,
    sK3931: 
      !>[X0: $tType] : ( set(product_prod(X0,X0)) > X0 ) ).

tff(func_def_4176,type,
    sK3932: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * X0 ) > X0 ) ).

tff(func_def_4177,type,
    sK3933: 
      !>[X0: $tType] : ( set(product_prod(X0,X0)) > X0 ) ).

tff(func_def_4178,type,
    sK3934: 
      !>[X0: $tType] : ( set(product_prod(X0,X0)) > set(X0) ) ).

tff(func_def_4179,type,
    sK3935: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * X0 ) > X0 ) ).

tff(func_def_4180,type,
    sK3936: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * set(X0) ) > X0 ) ).

tff(func_def_4181,type,
    sK3937: 
      !>[X0: $tType] : ( set(product_prod(X0,X0)) > fun(X0,$o) ) ).

tff(func_def_4182,type,
    sK3938: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * fun(X0,$o) ) > X0 ) ).

tff(func_def_4183,type,
    sK3939: 
      !>[X0: $tType] : ( set(product_prod(X0,X0)) > X0 ) ).

tff(func_def_4184,type,
    sK3940: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * X0 ) > X0 ) ).

tff(func_def_4185,type,
    sK3941: 
      !>[X0: $tType] : ( set(product_prod(X0,X0)) > fun(nat,X0) ) ).

tff(func_def_4186,type,
    sK3942: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * fun(nat,X0) ) > nat ) ).

tff(func_def_4187,type,
    sK3943: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * fun(nat,X0) ) > nat ) ).

tff(func_def_4188,type,
    sK3944: 
      !>[X0: $tType] : ( fun(nat,X0) > nat ) ).

tff(func_def_4189,type,
    sK3945: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * fun(X0,nat) * fun(X0,nat) ) > X0 ) ).

tff(func_def_4190,type,
    sK3946: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * fun(X0,nat) * fun(X0,nat) ) > X0 ) ).

tff(func_def_4191,type,
    sK3947: 
      !>[X0: $tType] : ( set(product_prod(X0,X0)) > X0 ) ).

tff(func_def_4192,type,
    sK3948: 
      !>[X0: $tType] : ( set(product_prod(X0,X0)) > X0 ) ).

tff(func_def_4193,type,
    sK3949: 
      !>[X0: $tType,X1: $tType] : ( ( set(product_prod(X1,X1)) * fun(X0,$o) * fun(X0,X1) ) > X0 ) ).

tff(func_def_4194,type,
    sK3950: 
      !>[X0: $tType] : ( set(product_prod(X0,X0)) > set(X0) ) ).

tff(func_def_4195,type,
    sK3951: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * set(X0) ) > X0 ) ).

tff(func_def_4196,type,
    sK3952: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * X0 ) > X0 ) ).

tff(func_def_4197,type,
    sK3953: 
      !>[X0: $tType,X1: $tType] : ( ( set(product_prod(X1,X1)) * fun(X1,set(X0)) * fun(X1,set(X0)) ) > X1 ) ).

tff(func_def_4198,type,
    sK3954: 
      !>[X0: $tType,X1: $tType] : ( ( set(product_prod(X1,X1)) * fun(X1,set(X0)) * fun(X1,set(X0)) ) > X1 ) ).

tff(func_def_4199,type,
    sK3955: 
      !>[X0: $tType,X1: $tType] : ( ( set(product_prod(X1,X1)) * fun(fun(X1,X0),fun(X1,fun(X0,$o))) ) > fun(X1,X0) ) ).

tff(func_def_4200,type,
    sK3956: 
      !>[X0: $tType,X1: $tType] : ( ( set(product_prod(X1,X1)) * fun(fun(X1,X0),fun(X1,fun(X0,$o))) ) > fun(X1,X0) ) ).

tff(func_def_4201,type,
    sK3957: 
      !>[X0: $tType,X1: $tType] : ( ( set(product_prod(X1,X1)) * fun(fun(X1,X0),fun(X1,fun(X0,$o))) ) > X1 ) ).

tff(func_def_4202,type,
    sK3958: 
      !>[X0: $tType,X1: $tType] : ( ( set(product_prod(X1,X1)) * fun(fun(X1,X0),fun(X1,fun(X0,$o))) ) > X0 ) ).

tff(func_def_4203,type,
    sK3959: 
      !>[X0: $tType,X1: $tType] : ( ( set(product_prod(X1,X1)) * fun(fun(X1,X0),fun(X1,fun(X0,$o))) ) > X1 ) ).

tff(func_def_4204,type,
    sK3960: 
      !>[X0: $tType,X1: $tType] : ( ( set(product_prod(X1,X1)) * fun(fun(X1,X0),fun(X1,fun(X0,$o))) ) > fun(X1,X0) ) ).

tff(func_def_4205,type,
    sK3961: 
      !>[X0: $tType,X1: $tType] : ( fun(fun(X1,X0),fun(X1,fun(X0,$o))) > fun(X1,X0) ) ).

tff(func_def_4206,type,
    sK3962: 
      !>[X0: $tType] : ( ( set(set(X0)) * set(X0) ) > set(X0) ) ).

tff(func_def_4207,type,
    sK3963: 
      !>[X0: $tType] : ( set(set(X0)) > set(set(X0)) ) ).

tff(func_def_4208,type,
    sK3964: 
      !>[X0: $tType] : ( set(set(X0)) > set(X0) ) ).

tff(func_def_4209,type,
    sK3965: 
      !>[X0: $tType] : ( ( set(set(X0)) * set(X0) ) > set(X0) ) ).

tff(func_def_4210,type,
    sK3966: 
      !>[X0: $tType] : ( ( fun(X0,X0) * X0 ) > X0 ) ).

tff(func_def_4211,type,
    sK3967: 
      !>[X0: $tType] : ( fun(X0,fun(X0,X0)) > X0 ) ).

tff(func_def_4212,type,
    sK3968: 
      !>[X0: $tType] : ( fun(X0,fun(X0,X0)) > X0 ) ).

tff(func_def_4213,type,
    sK3969: 
      !>[X0: $tType] : ( fun(X0,fun(X0,X0)) > X0 ) ).

tff(func_def_4214,type,
    sK3970: 
      !>[X0: $tType] : ( fun(X0,fun(X0,X0)) > X0 ) ).

tff(func_def_4215,type,
    sK3971: 
      !>[X0: $tType] : ( ( fun(X0,X0) * X0 ) > X0 ) ).

tff(func_def_4216,type,
    sK3972: 
      !>[X0: $tType] : ( ( fun(X0,X0) * fun(X0,X0) ) > X0 ) ).

tff(func_def_4217,type,
    sK3973: 
      !>[X0: $tType] : ( ( fun(X0,X0) * fun(X0,$o) ) > X0 ) ).

tff(func_def_4218,type,
    sK3974: 
      !>[X0: $tType] : ( fun(X0,$o) > set(X0) ) ).

tff(func_def_4219,type,
    sK3975: 
      !>[X0: $tType] : ( set(set(X0)) > set(set(X0)) ) ).

tff(func_def_4220,type,
    sK3976: 
      !>[X0: $tType] : ( set(set(X0)) > set(X0) ) ).

tff(func_def_4221,type,
    sK3977: 
      !>[X0: $tType,X1: $tType] : ( ( fun(set(product_prod(X0,X1)),set(product_prod(X0,X1))) * fun(X0,fun(X1,$o)) ) > X0 ) ).

tff(func_def_4222,type,
    sK3978: 
      !>[X0: $tType,X1: $tType] : ( ( fun(set(product_prod(X0,X1)),set(product_prod(X0,X1))) * fun(X0,fun(X1,$o)) ) > X1 ) ).

tff(func_def_4223,type,
    sK3979: 
      !>[X0: $tType] : ( ( set(X0) * fun(X0,X0) ) > X0 ) ).

tff(func_def_4224,type,
    sK3980: 
      !>[X0: $tType] : ( ( fun(X0,X0) * X0 ) > X0 ) ).

tff(func_def_4225,type,
    sK3981: 
      !>[X0: $tType] : ( ( fun(X0,X0) * X0 ) > set(X0) ) ).

tff(func_def_4226,type,
    sK3982: 
      !>[X0: $tType] : ( ( fun(X0,X0) * X0 ) > set(X0) ) ).

tff(func_def_4227,type,
    sK3983: 
      !>[X0: $tType] : ( ( fun(X0,X0) * X0 ) > X0 ) ).

tff(func_def_4228,type,
    sK3984: 
      !>[X0: $tType] : ( ( fun(X0,X0) * set(X0) ) > X0 ) ).

tff(func_def_4229,type,
    sK3985: 
      !>[X0: $tType,X1: $tType] : ( ( set(product_prod(X1,X1)) * fun(X1,X0) ) > X1 ) ).

tff(func_def_4230,type,
    sK3986: 
      !>[X0: $tType,X1: $tType] : ( ( set(product_prod(X1,X1)) * fun(X1,X0) ) > X1 ) ).

tff(func_def_4231,type,
    sK3987: 
      !>[X0: $tType,X1: $tType] : ( ( X0 * set(product_prod(X1,X0)) * set(X1) ) > X1 ) ).

tff(func_def_4232,type,
    sK3988: 
      !>[X0: $tType,X1: $tType] : ( ( X0 * set(product_prod(X1,X0)) * set(X1) ) > X1 ) ).

tff(func_def_4233,type,
    sK3989: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * set(product_prod(X1,X0)) ) > X1 ) ).

tff(func_def_4234,type,
    sK3990: 
      !>[X0: $tType] : ( set(product_prod(X0,X0)) > set(X0) ) ).

tff(func_def_4235,type,
    sK3991: 
      !>[X0: $tType] : ( ( set(X0) * set(X0) * set(product_prod(X0,X0)) ) > X0 ) ).

tff(func_def_4236,type,
    sK3992: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( set(product_prod(X2,X2)) * set(product_prod(X1,X1)) * fun(X2,fun(X1,X0)) ) > X2 ) ).

tff(func_def_4237,type,
    sK3993: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( set(product_prod(X2,X2)) * set(product_prod(X1,X1)) * fun(X2,fun(X1,X0)) ) > X2 ) ).

tff(func_def_4238,type,
    sK3994: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( set(product_prod(X2,X2)) * set(product_prod(X1,X1)) * fun(X2,fun(X1,X0)) ) > X1 ) ).

tff(func_def_4239,type,
    sK3995: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( set(product_prod(X2,X2)) * set(product_prod(X1,X1)) * fun(X2,fun(X1,X0)) ) > X1 ) ).

tff(func_def_4240,type,
    sK3996: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * set(X0) * set(X0) ) > X0 ) ).

tff(func_def_4241,type,
    sK3997: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * set(X0) * X0 ) > X0 ) ).

tff(func_def_4242,type,
    sK3998: 
      !>[X0: $tType] : ( ( list(X0) * set(X0) ) > X0 ) ).

tff(func_def_4243,type,
    sK3999: 
      !>[X0: $tType] : ( ( list(X0) * set(X0) ) > X0 ) ).

tff(func_def_4244,type,
    sK4000: 
      !>[X0: $tType,X1: $tType,X2: $tType,X3: $tType] : ( ( product_prod(X1,X0) * fun(X3,X1) * fun(X2,X0) * set(product_prod(X3,X2)) ) > X3 ) ).

tff(func_def_4245,type,
    sK4001: 
      !>[X0: $tType,X1: $tType,X2: $tType,X3: $tType] : ( ( product_prod(X1,X0) * fun(X3,X1) * fun(X2,X0) * set(product_prod(X3,X2)) ) > X2 ) ).

tff(func_def_4246,type,
    sK4002: 
      !>[X0: $tType] : ( fun(fun(nat,fun(X0,X0)),fun(nat,fun(nat,fun(X0,$o)))) > fun(nat,fun(X0,X0)) ) ).

tff(func_def_4247,type,
    sK4003: 
      !>[X0: $tType] : ( fun(fun(nat,fun(X0,X0)),fun(nat,fun(nat,fun(X0,$o)))) > nat ) ).

tff(func_def_4248,type,
    sK4004: 
      !>[X0: $tType] : ( fun(fun(nat,fun(X0,X0)),fun(nat,fun(nat,fun(X0,$o)))) > nat ) ).

tff(func_def_4249,type,
    sK4005: 
      !>[X0: $tType] : ( fun(fun(nat,fun(X0,X0)),fun(nat,fun(nat,fun(X0,$o)))) > X0 ) ).

tff(func_def_4250,type,
    sK4006: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * X0 * filter(X1) ) > fun(product_prod(X0,X0),$o) ) ).

tff(func_def_4251,type,
    sK4007: 
      !>[X0: $tType] : ( set(X0) > set(X0) ) ).

tff(func_def_4252,type,
    sK4008: 
      !>[X0: $tType] : ( set(X0) > fun(X0,real) ) ).

tff(func_def_4253,type,
    sK4009: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_4254,type,
    sK4010: 
      !>[X0: $tType] : ( set(set(X0)) > set(X0) ) ).

tff(func_def_4255,type,
    sK4011: 
      !>[X0: $tType] : ( set(set(X0)) > set(X0) ) ).

tff(func_def_4256,type,
    sK4012: 
      !>[X0: $tType] : ( set(set(X0)) > set(X0) ) ).

tff(func_def_4257,type,
    sK4013: 
      !>[X0: $tType] : ( fun(product_prod(X0,X0),$o) > fun(product_prod(X0,X0),$o) ) ).

tff(func_def_4258,type,
    sK4014: 
      !>[X0: $tType] : ( fun(product_prod(X0,X0),$o) > fun(product_prod(X0,X0),$o) ) ).

tff(func_def_4259,type,
    sK4015: 
      !>[X0: $tType] : ( fun(nat,X0) > fun(product_prod(X0,X0),$o) ) ).

tff(func_def_4260,type,
    sK4016: 
      !>[X0: $tType] : ( ( fun(nat,X0) * fun(product_prod(X0,X0),$o) ) > nat ) ).

tff(func_def_4261,type,
    sK4017: 
      !>[X0: $tType] : ( ( fun(nat,X0) * nat ) > nat ) ).

tff(func_def_4262,type,
    sK4018: 
      !>[X0: $tType] : ( ( fun(nat,X0) * nat ) > nat ) ).

tff(func_def_4263,type,
    sK4019: 
      !>[X0: $tType] : ( set(X0) > fun(product_prod(X0,X0),$o) ) ).

tff(func_def_4264,type,
    sK4020: 
      !>[X0: $tType] : ( ( set(X0) * fun(product_prod(X0,X0),$o) ) > set(X0) ) ).

tff(func_def_4265,type,
    sK4021: 
      !>[X0: $tType] : ( ( set(X0) * set(X0) ) > X0 ) ).

tff(func_def_4266,type,
    sK4022: 
      !>[X0: $tType] : ( ( set(X0) * fun(product_prod(X0,X0),$o) * X0 ) > X0 ) ).

tff(func_def_4267,type,
    sK4023: 
      !>[X0: $tType] : ( fun(product_prod(X0,X0),$o) > real ) ).

tff(func_def_4268,type,
    sK4024: 
      !>[X0: $tType] : ( ( fun(product_prod(X0,X0),$o) * real ) > X0 ) ).

tff(func_def_4269,type,
    sK4025: 
      !>[X0: $tType] : ( ( fun(product_prod(X0,X0),$o) * real ) > X0 ) ).

tff(func_def_4270,type,
    sK4026: 
      !>[X0: $tType] : ( set(X0) > fun(X0,real) ) ).

tff(func_def_4271,type,
    sK4027: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_4272,type,
    sK4028: 
      !>[X0: $tType] : ( set(X0) > fun(X0,real) ) ).

tff(func_def_4273,type,
    sK4029: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_4274,type,
    sK4030: 
      !>[X0: $tType] : ( set(X0) > set(X0) ) ).

tff(func_def_4275,type,
    sK4031: 
      !>[X0: $tType] : ( set(X0) > fun(X0,real) ) ).

tff(func_def_4276,type,
    sK4032: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_4277,type,
    sK4033: 
      !>[X0: $tType] : ( set(X0) > set(X0) ) ).

tff(func_def_4278,type,
    sK4034: 
      !>[X0: $tType] : ( set(X0) > fun(X0,real) ) ).

tff(func_def_4279,type,
    sK4035: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_4280,type,
    sK4036: 
      !>[X0: $tType,X1: $tType] : ( ( fun(product_prod(X0,X1),$o) * filter(X0) * filter(X1) ) > fun(X0,$o) ) ).

tff(func_def_4281,type,
    sK4037: 
      !>[X0: $tType,X1: $tType] : ( ( fun(product_prod(X0,X1),$o) * filter(X0) * filter(X1) ) > fun(X1,$o) ) ).

tff(func_def_4282,type,
    sK4038: 
      !>[X0: $tType,X1: $tType] : ( ( fun(product_prod(X0,X1),$o) * fun(X0,$o) * fun(X1,$o) ) > X0 ) ).

tff(func_def_4283,type,
    sK4039: 
      !>[X0: $tType,X1: $tType] : ( ( fun(product_prod(X0,X1),$o) * fun(X0,$o) * fun(X1,$o) ) > X1 ) ).

tff(func_def_4284,type,
    sK4040: 
      !>[X0: $tType] : ( ( fun(product_prod(X0,X0),$o) * filter(X0) ) > fun(X0,$o) ) ).

tff(func_def_4285,type,
    sK4041: 
      !>[X0: $tType] : ( ( fun(product_prod(X0,X0),$o) * fun(X0,$o) ) > X0 ) ).

tff(func_def_4286,type,
    sK4042: 
      !>[X0: $tType] : ( ( fun(product_prod(X0,X0),$o) * fun(X0,$o) ) > X0 ) ).

tff(func_def_4287,type,
    sK4043: fun(product_prod(nat,nat),$o) > nat ).

tff(func_def_4288,type,
    sK4044: ( fun(product_prod(nat,nat),$o) * nat ) > nat ).

tff(func_def_4289,type,
    sK4045: ( fun(product_prod(nat,nat),$o) * nat ) > nat ).

tff(func_def_4290,type,
    sK4046: 
      !>[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_4291,type,
    sK4047: 
      !>[X0: $tType] : ( ( set(X0) * set(X0) ) > nat ) ).

tff(func_def_4292,type,
    sK4048: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,set(X0)) * fun(X1,set(X0)) ) > X1 ) ).

tff(func_def_4293,type,
    sK4049: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,set(X1)) ) > X0 ) ).

tff(func_def_4294,type,
    sK4050: 
      !>[X0: $tType,X1: $tType] : ( ( product_prod(X0,X1) * set(X0) * fun(X0,set(X1)) ) > X0 ) ).

tff(func_def_4295,type,
    sK4051: 
      !>[X0: $tType,X1: $tType] : ( ( product_prod(X0,X1) * set(X0) * fun(X0,set(X1)) ) > X1 ) ).

tff(func_def_4296,type,
    sK4052: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,set(X0)) * fun(X1,set(X0)) ) > X1 ) ).

tff(func_def_4297,type,
    sK4053: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * set(X0) * set(X0) ) > X0 ) ).

tff(func_def_4298,type,
    sK4054: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * set(X0) * set(X0) ) > fun(X0,$o) ) ).

tff(func_def_4299,type,
    sK4055: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * set(X0) * set(X0) * X0 ) > X0 ) ).

tff(func_def_4300,type,
    sK4056: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,set(X0)) ) > X1 ) ).

tff(func_def_4301,type,
    sK4057: ( fun(nat,$o) * fun(nat,$o) ) > nat ).

tff(func_def_4302,type,
    sK4058: 
      !>[X0: $tType] : ( ( fun(X0,$o) * fun(X0,$o) ) > X0 ) ).

tff(func_def_4303,type,
    sK4059: 
      !>[X0: $tType] : ( ( fun(X0,$o) * fun(X0,$o) ) > X0 ) ).

tff(func_def_4304,type,
    sK4060: 
      !>[X0: $tType] : ( ( fun(X0,$o) * fun(X0,$o) ) > X0 ) ).

tff(func_def_4305,type,
    sK4061: 
      !>[X0: $tType] : ( ( fun(X0,$o) * fun(X0,$o) ) > X0 ) ).

tff(func_def_4306,type,
    sK4062: 
      !>[X0: $tType] : ( ( fun(X0,$o) * X0 ) > X0 ) ).

tff(func_def_4307,type,
    sK4063: 
      !>[X0: $tType] : ( ( fun(X0,$o) * X0 ) > X0 ) ).

tff(func_def_4308,type,
    sK4064: 
      !>[X0: $tType] : ( ( fun(X0,$o) * fun(X0,$o) ) > X0 ) ).

tff(func_def_4309,type,
    sK4065: 
      !>[X0: $tType] : ( ( fun(X0,$o) * X0 ) > X0 ) ).

tff(func_def_4310,type,
    sK4066: 
      !>[X0: $tType] : ( ( fun(X0,$o) * X0 ) > X0 ) ).

tff(func_def_4311,type,
    sK4067: 
      !>[X0: $tType] : ( ( fun(X0,$o) * X0 ) > X0 ) ).

tff(func_def_4312,type,
    sK4068: 
      !>[X0: $tType] : ( ( fun(X0,$o) * X0 ) > X0 ) ).

tff(func_def_4313,type,
    sK4069: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_4314,type,
    sK4070: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,X1) * set(X1) ) > X0 ) ).

tff(func_def_4315,type,
    sK4071: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,$o) * fun(X1,X0) * fun(X1,$o) ) > X1 ) ).

tff(func_def_4316,type,
    sK4072: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,X0) * fun(X1,X0) ) > X1 ) ).

tff(func_def_4317,type,
    sK4073: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * set(X0) ) > X1 ) ).

tff(func_def_4318,type,
    sK4074: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * set(X0) ) > X1 ) ).

tff(func_def_4319,type,
    sK4075: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X1,X0) * set(X1) ) > X0 ) ).

tff(func_def_4320,type,
    sK4076: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * set(X1) ) > X0 ) ).

tff(func_def_4321,type,
    sK4077: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * set(X1) ) > X0 ) ).

tff(func_def_4322,type,
    sK4078: 
      !>[X0: $tType] : ( ( fun(X0,$o) * list(X0) ) > X0 ) ).

tff(func_def_4323,type,
    sK4079: 
      !>[X0: $tType] : ( ( list(X0) * fun(X0,$o) ) > X0 ) ).

tff(func_def_4324,type,
    sK4080: 
      !>[X0: $tType] : ( ( list(X0) * fun(X0,$o) * fun(X0,$o) ) > X0 ) ).

tff(func_def_4325,type,
    sK4081: 
      !>[X0: $tType] : ( ( fun(X0,$o) * list(X0) ) > X0 ) ).

tff(func_def_4326,type,
    sK4082: 
      !>[X0: $tType] : ( ( fun(X0,$o) * list(X0) ) > X0 ) ).

tff(func_def_4327,type,
    sK4083: 
      !>[X0: $tType] : ( ( list(X0) * fun(X0,$o) ) > X0 ) ).

tff(func_def_4328,type,
    sK4084: 
      !>[X0: $tType] : ( ( fun(X0,$o) * list(X0) ) > X0 ) ).

tff(func_def_4329,type,
    sK4085: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,option(X1)) * fun(X0,option(X1)) ) > X0 ) ).

tff(func_def_4330,type,
    sK4086: 
      !>[X0: $tType,X1: $tType] : ( fun(X0,option(X1)) > X0 ) ).

tff(func_def_4331,type,
    sK4087: 
      !>[X0: $tType,X1: $tType] : ( fun(X0,option(X1)) > X0 ) ).

tff(func_def_4332,type,
    sK4088: 
      !>[X0: $tType,X1: $tType] : ( fun(X0,option(X1)) > X0 ) ).

tff(func_def_4333,type,
    sK4089: 
      !>[X0: $tType,X1: $tType] : ( fun(X0,option(X1)) > X0 ) ).

tff(func_def_4334,type,
    sK4090: 
      !>[X0: $tType,X1: $tType] : ( ( set(product_prod(X1,X1)) * fun(X1,X0) ) > X1 ) ).

tff(func_def_4335,type,
    sK4091: 
      !>[X0: $tType,X1: $tType] : ( ( set(product_prod(X1,X1)) * fun(X1,X0) ) > X1 ) ).

tff(func_def_4336,type,
    sK4092: 
      !>[X0: $tType] : ( set(product_prod(X0,X0)) > X0 ) ).

tff(func_def_4337,type,
    sK4093: 
      !>[X0: $tType] : ( set(product_prod(X0,X0)) > X0 ) ).

tff(func_def_4338,type,
    sK4094: 
      !>[X0: $tType] : ( ( list(X0) * X0 ) > X0 ) ).

tff(func_def_4339,type,
    sK4095: 
      !>[X0: $tType] : ( ( X0 * list(X0) ) > X0 ) ).

tff(func_def_4340,type,
    sK4096: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_4341,type,
    sK4097: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_4342,type,
    sK4098: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_4343,type,
    sK4099: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_4344,type,
    sK4100: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_4345,type,
    sK4101: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_4346,type,
    sK4102: 
      !>[X0: $tType] : ( set(set(X0)) > set(X0) ) ).

tff(func_def_4347,type,
    sK4103: 
      !>[X0: $tType] : ( set(X0) > set(X0) ) ).

tff(func_def_4348,type,
    sK4104: 
      !>[X0: $tType] : ( set(X0) > set(X0) ) ).

tff(func_def_4349,type,
    sK4105: 
      !>[X0: $tType] : ( set(X0) > set(X0) ) ).

tff(func_def_4350,type,
    sK4106: 
      !>[X0: $tType] : ( set(X0) > set(X0) ) ).

tff(func_def_4351,type,
    sK4107: 
      !>[X0: $tType] : ( set(X0) > set(X0) ) ).

tff(func_def_4352,type,
    sK4108: 
      !>[X0: $tType] : ( set(X0) > set(X0) ) ).

tff(func_def_4353,type,
    sK4109: 
      !>[X0: $tType] : ( fun(X0,fun(X0,$o)) > X0 ) ).

tff(func_def_4354,type,
    sK4110: 
      !>[X0: $tType] : ( fun(X0,fun(X0,$o)) > X0 ) ).

tff(func_def_4355,type,
    sK4111: 
      !>[X0: $tType] : ( ( set(X0) * set(X0) ) > X0 ) ).

tff(func_def_4356,type,
    sK4112: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,set(X0)) * set(X1) ) > X1 ) ).

tff(func_def_4357,type,
    sK4113: 
      !>[X0: $tType] : ( ( set(X0) * list(X0) ) > X0 ) ).

tff(func_def_4358,type,
    sK4114: 
      !>[X0: $tType] : ( set(X0) > fun(nat,set(X0)) ) ).

tff(func_def_4359,type,
    sK4115: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,$o)) * X0 * set(X0) ) > X0 ) ).

tff(func_def_4360,type,
    sK4116: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,X0) * fun(X0,fun(X0,$o)) ) > X1 ) ).

tff(func_def_4361,type,
    sK4117: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,X0) * fun(X0,fun(X0,$o)) ) > X1 ) ).

tff(func_def_4362,type,
    sK4118: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,$o)) * fun(X0,fun(X0,$o)) ) > X0 ) ).

tff(func_def_4363,type,
    sK4119: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,$o)) * fun(X0,fun(X0,$o)) ) > X0 ) ).

tff(func_def_4364,type,
    sK4120: 
      !>[X0: $tType] : ( ( set(X0) * fun(X0,fun(X0,$o)) ) > X0 ) ).

tff(func_def_4365,type,
    sK4121: 
      !>[X0: $tType] : ( ( set(X0) * fun(X0,fun(X0,$o)) ) > X0 ) ).

tff(func_def_4366,type,
    sK4122: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,$o)) * set(X0) ) > X0 ) ).

tff(func_def_4367,type,
    sK4123: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,$o)) * set(X0) ) > X0 ) ).

tff(func_def_4368,type,
    sK4124: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,$o)) * set(X0) ) > X0 ) ).

tff(func_def_4369,type,
    sK4125: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,$o)) * set(X0) ) > X0 ) ).

tff(func_def_4370,type,
    sK4126: 
      !>[X0: $tType] : ( ( set(set(X0)) * fun(set(X0),set(X0)) ) > set(X0) ) ).

tff(func_def_4371,type,
    sK4127: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,$o)) * set(X0) ) > X0 ) ).

tff(func_def_4372,type,
    sK4128: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,$o)) * set(X0) ) > X0 ) ).

tff(func_def_4373,type,
    sK4129: 
      !>[X0: $tType] : ( ( set(X0) * fun(X0,fun(X0,$o)) ) > X0 ) ).

tff(func_def_4374,type,
    sK4130: 
      !>[X0: $tType] : ( ( set(X0) * fun(X0,fun(X0,$o)) ) > X0 ) ).

tff(func_def_4375,type,
    sK4131: 
      !>[X0: $tType] : ( set(set(X0)) > set(set(X0)) ) ).

tff(func_def_4376,type,
    sK4132: 
      !>[X0: $tType] : ( set(set(X0)) > set(X0) ) ).

tff(func_def_4377,type,
    sK4133: 
      !>[X0: $tType] : ( ( set(set(X0)) * set(X0) ) > set(X0) ) ).

tff(func_def_4378,type,
    sK4134: 
      !>[X0: $tType] : ( set(set(X0)) > set(set(X0)) ) ).

tff(func_def_4379,type,
    sK4135: 
      !>[X0: $tType] : ( set(set(X0)) > set(X0) ) ).

tff(func_def_4380,type,
    sK4136: 
      !>[X0: $tType] : ( set(set(X0)) > set(X0) ) ).

tff(func_def_4381,type,
    sK4137: 
      !>[X0: $tType] : ( set(set(X0)) > set(X0) ) ).

tff(func_def_4382,type,
    sK4138: 
      !>[X0: $tType] : ( ( set(X0) * set(set(X0)) ) > set(X0) ) ).

tff(func_def_4383,type,
    sK4139: 
      !>[X0: $tType] : ( set(set(X0)) > set(set(X0)) ) ).

tff(func_def_4384,type,
    sK4140: 
      !>[X0: $tType] : ( set(set(X0)) > set(X0) ) ).

tff(func_def_4385,type,
    sK4141: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,$o)) * set(X0) * X0 ) > X0 ) ).

tff(func_def_4386,type,
    sK4142: 
      !>[X0: $tType] : ( ( set(X0) * set(set(X0)) ) > set(X0) ) ).

tff(func_def_4387,type,
    sK4143: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * set(X0) ) > X0 ) ).

tff(func_def_4388,type,
    sK4144: 
      !>[X0: $tType] : ( ( set(X0) * set(product_prod(X0,X0)) ) > X0 ) ).

tff(func_def_4389,type,
    sK4145: 
      !>[X0: $tType] : ( ( set(X0) * set(product_prod(X0,X0)) ) > X0 ) ).

tff(func_def_4390,type,
    sK4146: 
      !>[X0: $tType] : ( ( set(X0) * set(product_prod(X0,X0)) ) > product_prod(X0,X0) ) ).

tff(func_def_4391,type,
    sK4147: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,set(X0)) * fun(X1,set(product_prod(X0,X0))) ) > X1 ) ).

tff(func_def_4392,type,
    sK4148: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,set(X0)) * fun(X1,set(product_prod(X0,X0))) ) > X1 ) ).

tff(func_def_4393,type,
    sK4149: 
      !>[X0: $tType] : ( set(product_prod(X0,X0)) > X0 ) ).

tff(func_def_4394,type,
    sK4150: 
      !>[X0: $tType] : ( set(product_prod(X0,X0)) > X0 ) ).

tff(func_def_4395,type,
    sK4151: 
      !>[X0: $tType] : ( set(product_prod(X0,X0)) > X0 ) ).

tff(func_def_4396,type,
    sK4152: 
      !>[X0: $tType] : ( set(product_prod(X0,X0)) > X0 ) ).

tff(func_def_4397,type,
    sK4153: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * fun(X1,$o) * X1 ) > X1 ) ).

tff(func_def_4398,type,
    sK4154: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,$o) * X1 * fun(X1,X0) ) > X1 ) ).

tff(func_def_4399,type,
    sK4155: fun($o,$o) > product_unit ).

tff(func_def_4400,type,
    sK4160: $o > product_unit ).

tff(func_def_4401,type,
    sK4162: 
      !>[X0: $tType] : ( set(product_prod(X0,X0)) > set(X0) ) ).

tff(func_def_4402,type,
    sK4163: 
      !>[X0: $tType] : ( set(product_prod(X0,X0)) > X0 ) ).

tff(func_def_4403,type,
    sK4164: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * X0 ) > X0 ) ).

tff(func_def_4404,type,
    sK4165: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * fun(X0,$o) ) > X0 ) ).

tff(func_def_4405,type,
    sK4166: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * fun(X0,$o) ) > X0 ) ).

tff(func_def_4406,type,
    sK4167: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * set(X0) ) > X0 ) ).

tff(func_def_4407,type,
    sK4168: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * set(X0) * X0 ) > X0 ) ).

tff(func_def_4408,type,
    sK4169: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * set(X0) * X0 ) > X0 ) ).

tff(func_def_4409,type,
    sK4170: ( fun(nat,real) * nat ) > nat ).

tff(func_def_4410,type,
    sK4171: ( fun(nat,real) * nat ) > nat ).

tff(func_def_4411,type,
    sK4172: fun(nat,real) > nat ).

tff(func_def_4412,type,
    sK4173: fun(nat,real) > nat ).

tff(func_def_4413,type,
    sK4174: ( fun(nat,real) * nat ) > nat ).

tff(func_def_4414,type,
    sK4175: ( fun(nat,real) * nat ) > nat ).

tff(func_def_4415,type,
    sK4176: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,$o)) * list(X0) ) > X0 ) ).

tff(func_def_4416,type,
    sK4177: 
      !>[X0: $tType] : ( ( list(X0) * fun(X0,fun(X0,$o)) ) > X0 ) ).

tff(func_def_4417,type,
    sK4178: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,fun(X1,$o)) * list(X0) * list(X1) * fun(X0,fun(X1,$o)) ) > X0 ) ).

tff(func_def_4418,type,
    sK4179: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,fun(X1,$o)) * list(X0) * list(X1) * fun(X0,fun(X1,$o)) ) > X1 ) ).

tff(func_def_4419,type,
    sK4180: 
      !>[X0: $tType,X1: $tType] : ( ( list(X0) * list(X1) * fun(X0,fun(X1,$o)) * fun(X0,fun(X1,$o)) ) > X0 ) ).

tff(func_def_4420,type,
    sK4181: 
      !>[X0: $tType,X1: $tType] : ( ( list(X0) * list(X1) * fun(X0,fun(X1,$o)) * fun(X0,fun(X1,$o)) ) > X1 ) ).

tff(func_def_4421,type,
    sK4182: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,fun(X1,$o)) * list(X0) * list(X0) * list(X1) ) > list(X1) ) ).

tff(func_def_4422,type,
    sK4183: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,fun(X1,$o)) * list(X0) * list(X0) * list(X1) ) > list(X1) ) ).

tff(func_def_4423,type,
    sK4184: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,fun(X1,$o)) * list(X0) * list(X1) * list(X1) ) > list(X0) ) ).

tff(func_def_4424,type,
    sK4185: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,fun(X1,$o)) * list(X0) * list(X1) * list(X1) ) > list(X0) ) ).

tff(func_def_4425,type,
    sK4187: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,fun(X1,$o)) * list(X0) * list(X1) ) > nat ) ).

tff(func_def_4426,type,
    sK4188: 
      !>[X0: $tType,X1: $tType] : ( ( list(X0) * list(X1) * fun(X0,fun(X1,$o)) ) > nat ) ).

tff(func_def_4427,type,
    sK4189: 
      !>[X0: $tType,X1: $tType] : ( ( list(X0) * list(X1) * fun(X0,fun(X1,$o)) ) > product_prod(X0,X1) ) ).

tff(func_def_4428,type,
    sK4190: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,fun(X0,$o)) * list(X1) * list(X0) ) > product_prod(X1,X0) ) ).

tff(func_def_4429,type,
    sK4191: 
      !>[X0: $tType] : set(X0) ).

tff(func_def_4430,type,
    sK4192: 
      !>[X0: $tType] : ( ( list(X0) * X0 ) > X0 ) ).

tff(func_def_4431,type,
    sK4193: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * list(X1) * X1 ) > X1 ) ).

tff(func_def_4432,type,
    sK4194: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * list(X1) * X1 ) > X1 ) ).

tff(func_def_4433,type,
    sK4195: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * list(X1) * X1 ) > list(X1) ) ).

tff(func_def_4434,type,
    sK4196: 
      !>[X0: $tType] : ( ( fun(X0,$o) * set(X0) ) > X0 ) ).

tff(func_def_4435,type,
    sK4197: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,$o)) * fun(X0,$o) * fun(set(X0),X0) ) > set(X0) ) ).

tff(func_def_4436,type,
    sK4198: 
      !>[X0: $tType] : ( ( fun(set(X0),X0) * fun(X0,fun(X0,$o)) * fun(X0,$o) ) > set(X0) ) ).

tff(func_def_4437,type,
    sK4199: 
      !>[X0: $tType] : ( ( fun(X0,$o) * set(X0) ) > X0 ) ).

tff(func_def_4438,type,
    sK4200: 
      !>[X0: $tType] : ( ( X0 * X0 * set(X0) ) > real ) ).

tff(func_def_4439,type,
    sK4201: 
      !>[X0: $tType] : ( set(X0) > set(X0) ) ).

tff(func_def_4440,type,
    sK4202: 
      !>[X0: $tType] : ( ( set(X0) * set(X0) ) > set(X0) ) ).

tff(func_def_4441,type,
    sK4203: 
      !>[X0: $tType] : ( ( set(X0) * fun(X0,$o) ) > real ) ).

tff(func_def_4442,type,
    sK4204: 
      !>[X0: $tType] : ( ( set(X0) * fun(X0,$o) ) > X0 ) ).

tff(func_def_4443,type,
    sK4205: 
      !>[X0: $tType] : ( ( set(X0) * fun(X0,$o) ) > X0 ) ).

tff(func_def_4444,type,
    sK4206: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_4445,type,
    sK4207: 
      !>[X0: $tType] : ( ( X0 * set(X0) * X0 ) > real ) ).

tff(func_def_4446,type,
    sK4208: 
      !>[X0: $tType] : ( ( set(X0) * set(X0) ) > set(X0) ) ).

tff(func_def_4447,type,
    sK4209: 
      !>[X0: $tType] : ( set(X0) > set(X0) ) ).

tff(func_def_4448,type,
    sK4210: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * set(X0) * X0 ) > X0 ) ).

tff(func_def_4449,type,
    sK4211: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * set(X0) ) > X0 ) ).

tff(func_def_4450,type,
    sK4212: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * set(X0) ) > X0 ) ).

tff(func_def_4451,type,
    sK4213: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,$o)) * list(X0) ) > nat ) ).

tff(func_def_4452,type,
    sK4214: 
      !>[X0: $tType] : ( fun(X0,fun(X0,$o)) > X0 ) ).

tff(func_def_4453,type,
    sK4215: 
      !>[X0: $tType] : ( fun(X0,fun(X0,$o)) > X0 ) ).

tff(func_def_4454,type,
    sK4216: 
      !>[X0: $tType] : ( fun(X0,fun(X0,$o)) > X0 ) ).

tff(func_def_4455,type,
    sK4217: 
      !>[X0: $tType] : ( fun(X0,fun(X0,$o)) > X0 ) ).

tff(func_def_4456,type,
    sK4218: 
      !>[X0: $tType] : ( fun(X0,fun(X0,$o)) > X0 ) ).

tff(func_def_4457,type,
    sK4219: 
      !>[X0: $tType] : ( fun(X0,fun(X0,$o)) > X0 ) ).

tff(func_def_4458,type,
    sK4220: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,fun(X0,fun(X0,$o))) ) > X1 ) ).

tff(func_def_4459,type,
    sK4221: 
      !>[X0: $tType] : ( set(product_prod(X0,X0)) > set(X0) ) ).

tff(func_def_4460,type,
    sK4222: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * set(X0) ) > X0 ) ).

tff(func_def_4461,type,
    sK4223: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * X0 ) > X0 ) ).

tff(func_def_4462,type,
    sK4224: 
      !>[X0: $tType,X1: $tType] : ( ( set(product_prod(X0,X0)) * set(product_prod(X1,X1)) ) > X0 ) ).

tff(func_def_4463,type,
    sK4225: 
      !>[X0: $tType,X1: $tType] : ( ( set(product_prod(X1,X1)) * set(product_prod(X0,X0)) ) > X1 ) ).

tff(func_def_4464,type,
    sK4226: 
      !>[X0: $tType] : ( set(set(product_prod(X0,X0))) > set(product_prod(X0,X0)) ) ).

tff(func_def_4465,type,
    sK4227: 
      !>[X0: $tType] : ( set(set(product_prod(X0,X0))) > set(product_prod(X0,X0)) ) ).

tff(func_def_4466,type,
    sK4228: 
      !>[X0: $tType,X1: $tType] : ( ( set(product_prod(X0,X0)) * set(product_prod(X1,X1)) ) > set(product_prod(X1,X1)) ) ).

tff(func_def_4467,type,
    sK4229: 
      !>[X0: $tType,X1: $tType] : ( ( set(product_prod(X1,X1)) * set(X0) ) > set(product_prod(X0,X0)) ) ).

tff(func_def_4468,type,
    sK4230: 
      !>[X0: $tType,X1: $tType] : ( ( set(product_prod(X0,X0)) * set(product_prod(X1,X1)) ) > set(product_prod(X1,X1)) ) ).

tff(func_def_4469,type,
    sK4231: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( fun(X2,fun(X1,X0)) > real ) ).

tff(func_def_4470,type,
    sK4232: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( fun(X2,fun(X1,X0)) > X2 ) ).

tff(func_def_4471,type,
    sK4233: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( fun(X2,fun(X1,X0)) > real ) ).

tff(func_def_4472,type,
    sK4234: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( fun(X2,fun(X1,X0)) > X1 ) ).

tff(func_def_4473,type,
    sK4235: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( fun(X2,fun(X1,X0)) > real ) ).

tff(func_def_4474,type,
    sK4236: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( fun(X2,fun(X1,X0)) > X2 ) ).

tff(func_def_4475,type,
    sK4237: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( fun(X2,fun(X1,X0)) > X1 ) ).

tff(func_def_4476,type,
    sK4238: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( fun(X2,fun(X1,X0)) > X2 ) ).

tff(func_def_4477,type,
    sK4239: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( fun(X2,fun(X1,X0)) > X1 ) ).

tff(func_def_4478,type,
    sK4240: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( fun(X2,fun(X1,X0)) > X1 ) ).

tff(func_def_4479,type,
    sK4241: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( fun(X2,fun(X1,X0)) > X2 ) ).

tff(func_def_4480,type,
    sK4242: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( fun(X2,fun(X1,X0)) > X2 ) ).

tff(func_def_4481,type,
    sK4243: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( fun(X2,fun(X1,X0)) > X1 ) ).

tff(func_def_4482,type,
    sK4244: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( fun(X2,fun(X1,X0)) * real ) > X2 ) ).

tff(func_def_4483,type,
    sK4245: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( fun(X2,fun(X1,X0)) * real ) > X1 ) ).

tff(func_def_4484,type,
    sK4246: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( fun(X2,fun(X1,X0)) > X2 ) ).

tff(func_def_4485,type,
    sK4247: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( fun(X2,fun(X1,X0)) > X2 ) ).

tff(func_def_4486,type,
    sK4248: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( fun(X2,fun(X1,X0)) > X1 ) ).

tff(func_def_4487,type,
    sK4249: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( fun(X2,fun(X1,X0)) > X2 ) ).

tff(func_def_4488,type,
    sK4250: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( fun(X2,fun(X1,X0)) > X1 ) ).

tff(func_def_4489,type,
    sK4251: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( fun(X2,fun(X1,X0)) > X1 ) ).

tff(func_def_4490,type,
    sK4252: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( fun(X2,fun(X1,X0)) > real ) ).

tff(func_def_4491,type,
    sK4253: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( fun(X2,fun(X1,X0)) > X2 ) ).

tff(func_def_4492,type,
    sK4254: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( fun(X2,fun(X1,X0)) > X1 ) ).

tff(func_def_4493,type,
    sK4255: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( fun(X2,fun(X1,X0)) > X2 ) ).

tff(func_def_4494,type,
    sK4256: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( fun(X2,fun(X1,X0)) > real ) ).

tff(func_def_4495,type,
    sK4257: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( fun(X2,fun(X1,X0)) > X1 ) ).

tff(func_def_4496,type,
    sK4258: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( fun(X2,fun(X1,X0)) * real ) > X2 ) ).

tff(func_def_4497,type,
    sK4259: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( fun(X2,fun(X1,X0)) * real ) > X1 ) ).

tff(func_def_4498,type,
    sK4260: 
      !>[X0: $tType] : ( ( fun(X0,X0) * X0 ) > X0 ) ).

tff(func_def_4499,type,
    sK4261: 
      !>[X0: $tType] : ( ( fun(X0,X0) * fun(X0,X0) ) > X0 ) ).

tff(func_def_4500,type,
    sK4262: 
      !>[X0: $tType] : ( ( fun(X0,X0) * X0 ) > X0 ) ).

tff(func_def_4501,type,
    sK4263: 
      !>[X0: $tType] : ( fun(X0,fun(X0,X0)) > X0 ) ).

tff(func_def_4502,type,
    sK4264: 
      !>[X0: $tType] : ( fun(X0,fun(X0,X0)) > X0 ) ).

tff(func_def_4503,type,
    sK4265: 
      !>[X0: $tType] : ( fun(X0,fun(X0,X0)) > X0 ) ).

tff(func_def_4504,type,
    sK4266: 
      !>[X0: $tType] : ( fun(X0,fun(X0,X0)) > X0 ) ).

tff(func_def_4505,type,
    sK4267: 
      !>[X0: $tType] : ( ( fun(X0,X0) * fun(X0,$o) ) > X0 ) ).

tff(func_def_4506,type,
    sK4268: 
      !>[X0: $tType] : ( fun(X0,$o) > set(X0) ) ).

tff(func_def_4507,type,
    sK4269: fun(nat,$o) > nat ).

tff(func_def_4508,type,
    sK4270: ( nat * list(nat) ) > nat ).

tff(func_def_4509,type,
    sK4271: ( nat * list(nat) ) > nat ).

tff(func_def_4510,type,
    sK4272: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * list(X1) * X1 ) > X1 ) ).

tff(func_def_4511,type,
    sK4273: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * list(X1) * X1 ) > X1 ) ).

tff(func_def_4512,type,
    sK4274: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * list(X1) * X1 ) > X1 ) ).

tff(func_def_4513,type,
    sK4275: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * list(X1) * X1 ) > list(X1) ) ).

tff(func_def_4514,type,
    sK4277: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,fun(X1,$o)) * X1 * X0 ) > X0 ) ).

tff(func_def_4515,type,
    sK4278: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,fun(X1,$o)) * X1 * X0 ) > X1 ) ).

tff(func_def_4516,type,
    sK4279: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,$o)) * list(X0) ) > X0 ) ).

tff(func_def_4517,type,
    sK4280: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,$o)) * list(X0) ) > list(X0) ) ).

tff(func_def_4518,type,
    sK4281: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,$o)) * list(X0) * $o ) > X0 ) ).

tff(func_def_4519,type,
    sK4282: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,$o)) * list(X0) * $o ) > list(X0) ) ).

tff(func_def_4520,type,
    sK4285: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,$o)) * X0 * list(X0) ) > X0 ) ).

tff(func_def_4521,type,
    sK4286: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,$o)) * list(X0) ) > X0 ) ).

tff(func_def_4522,type,
    sK4287: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,$o)) * list(X0) ) > list(X0) ) ).

tff(func_def_4523,type,
    sK4288: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,$o)) * list(X0) ) > X0 ) ).

tff(func_def_4524,type,
    sK4289: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_4525,type,
    sK4290: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( fun(X1,option(X2)) * fun(X0,option(X1)) * X0 * X2 ) > X1 ) ).

tff(func_def_4526,type,
    sK4291: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * fun(X1,$o) * X1 ) > X1 ) ).

tff(func_def_4527,type,
    sK4292: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( fun(X1,option(X2)) * fun(X0,option(X1)) * X0 ) > X1 ) ).

tff(func_def_4528,type,
    sK4293: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( set(X1) * set(X0) * fun(X0,set(X2)) ) > X0 ) ).

tff(func_def_4529,type,
    sK4294: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * set(X1) * set(X0) ) > X1 ) ).

tff(func_def_4530,type,
    sK4295: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( set(X0) * set(X2) * fun(X2,set(X1)) ) > X2 ) ).

tff(func_def_4531,type,
    sK4296: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( set(X2) * fun(X2,set(X1)) * fun(X2,set(X0)) ) > X2 ) ).

tff(func_def_4532,type,
    sK4297: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( fun(X0,set(X2)) * set(product_prod(X1,X1)) ) > X0 ) ).

tff(func_def_4533,type,
    sK4298: 
      !>[X0: $tType,X1: $tType] : ( set(X1) > fun(X0,X1) ) ).

tff(func_def_4534,type,
    sK4299: 
      !>[X0: $tType,X1: $tType] : ( set(X1) > set(X0) ) ).

tff(func_def_4535,type,
    sK4300: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * set(X0) ) > fun(X1,X0) ) ).

tff(func_def_4536,type,
    sK4301: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * set(X0) ) > fun(X0,X1) ) ).

tff(func_def_4537,type,
    sK4302: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * set(X1) ) > fun(X1,X0) ) ).

tff(func_def_4538,type,
    sK4303: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * set(X1) ) > set(X1) ) ).

tff(func_def_4539,type,
    sK4304: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * set(X0) ) > fun(X1,X0) ) ).

tff(func_def_4540,type,
    sK4305: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * set(product_prod(X1,X1)) ) > set(X1) ) ).

tff(func_def_4541,type,
    sK4306: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * set(X1) ) > fun(X0,X1) ) ).

tff(func_def_4542,type,
    sK4307: 
      !>[X0: $tType] : ( set(product_prod(X0,X0)) > set(X0) ) ).

tff(func_def_4543,type,
    sK4308: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( set(product_prod(X0,X0)) * set(X2) * fun(X2,set(X1)) ) > X2 ) ).

tff(func_def_4544,type,
    sK4309: 
      !>[X0: $tType,X1: $tType] : ( fun(X1,X0) > X1 ) ).

tff(func_def_4545,type,
    sK4310: 
      !>[X0: $tType,X1: $tType] : ( fun(X1,X0) > X1 ) ).

tff(func_def_4546,type,
    sK4311: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * X0 ) > X0 ) ).

tff(func_def_4547,type,
    sK4312: 
      !>[X0: $tType] : ( ( set(X0) * set(product_prod(X0,X0)) ) > set(product_prod(X0,X0)) ) ).

tff(func_def_4548,type,
    sK4313: 
      !>[X0: $tType] : ( set(set(product_prod(X0,X0))) > set(product_prod(X0,X0)) ) ).

tff(func_def_4549,type,
    sK4314: 
      !>[X0: $tType] : ( set(set(product_prod(X0,X0))) > set(product_prod(X0,X0)) ) ).

tff(func_def_4550,type,
    sK4315: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( set(product_prod(X1,X1)) * set(X0) * fun(X0,set(X2)) ) > X0 ) ).

tff(func_def_4551,type,
    sK4316: 
      !>[X0: $tType] : ( set(product_prod(X0,X0)) > X0 ) ).

tff(func_def_4552,type,
    sK4317: 
      !>[X0: $tType,X1: $tType] : ( ( set(product_prod(X1,X1)) * fun(X1,set(X0)) * set(X0) ) > X1 ) ).

tff(func_def_4553,type,
    sK4318: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * set(product_prod(X0,X0)) ) > fun(X1,X0) ) ).

tff(func_def_4554,type,
    sK4319: 
      !>[X0: $tType,X1: $tType] : ( ( set(product_prod(X1,X1)) * fun(set(X1),set(X0)) * set(X0) ) > set(X1) ) ).

tff(func_def_4555,type,
    sK4320: 
      !>[X0: $tType,X1: $tType] : ( ( set(product_prod(X1,X1)) * fun(set(X1),set(X0)) * set(X0) ) > set(X1) ) ).

tff(func_def_4556,type,
    sK4321: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( set(product_prod(X1,X1)) * fun(X0,set(X2)) ) > X0 ) ).

tff(func_def_4557,type,
    sK4322: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( fun(X1,set(X0)) * set(product_prod(X2,X2)) ) > X1 ) ).

tff(func_def_4558,type,
    sK4323: 
      !>[X0: $tType] : ( ( X0 * set(product_prod(X0,X0)) * X0 ) > X0 ) ).

tff(func_def_4559,type,
    sK4324: 
      !>[X0: $tType] : ( ( X0 * set(product_prod(X0,X0)) ) > X0 ) ).

tff(func_def_4560,type,
    sK4325: 
      !>[X0: $tType] : ( ( set(X0) * set(product_prod(X0,X0)) ) > X0 ) ).

tff(func_def_4561,type,
    sK4326: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( set(X0) * set(product_prod(X1,X1)) * fun(X0,set(X2)) ) > X0 ) ).

tff(func_def_4562,type,
    sK4327: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( set(product_prod(X0,X0)) * set(X2) * fun(X2,set(X1)) ) > X2 ) ).

tff(func_def_4563,type,
    sK4328: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( set(X2) * fun(X2,set(X1)) * set(X0) ) > X2 ) ).

tff(func_def_4564,type,
    sK4329: 
      !>[X0: $tType,X1: $tType] : ( ( X0 * set(product_prod(X1,X0)) ) > X1 ) ).

tff(func_def_4565,type,
    sK4330: 
      !>[X0: $tType,X1: $tType] : ( ( X0 * set(product_prod(X1,X0)) ) > X1 ) ).

tff(func_def_4566,type,
    sK4331: 
      !>[X0: $tType,X1: $tType] : ( ( X0 * set(product_prod(X1,X0)) ) > X1 ) ).

tff(func_def_4567,type,
    sK4332: 
      !>[X0: $tType,X1: $tType] : ( ( X0 * set(product_prod(X1,X0)) ) > X0 ) ).

tff(func_def_4568,type,
    sK4333: 
      !>[X0: $tType,X1: $tType] : ( ( X0 * set(product_prod(X1,X0)) ) > X1 ) ).

tff(func_def_4569,type,
    sK4334: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,set(product_prod(X0,X0))) ) > X1 ) ).

tff(func_def_4570,type,
    sK4335: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,set(product_prod(X0,X0))) ) > X1 ) ).

tff(func_def_4571,type,
    sK4336: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,set(product_prod(X0,X0))) ) > X1 ) ).

tff(func_def_4572,type,
    sK4337: 
      !>[X0: $tType] : ( set(set(product_prod(X0,X0))) > set(product_prod(X0,X0)) ) ).

tff(func_def_4573,type,
    sK4338: 
      !>[X0: $tType] : ( set(set(product_prod(X0,X0))) > set(product_prod(X0,X0)) ) ).

tff(func_def_4574,type,
    sK4339: 
      !>[X0: $tType] : ( set(set(product_prod(X0,X0))) > set(product_prod(X0,X0)) ) ).

tff(func_def_4575,type,
    sK4340: 
      !>[X0: $tType,X1: $tType] : ( ( X1 * set(product_prod(X1,X0)) ) > X0 ) ).

tff(func_def_4576,type,
    sK4341: 
      !>[X0: $tType,X1: $tType] : ( ( X1 * set(product_prod(X1,X0)) ) > X1 ) ).

tff(func_def_4577,type,
    sK4342: 
      !>[X0: $tType,X1: $tType] : ( ( X1 * set(product_prod(X1,X0)) ) > X0 ) ).

tff(func_def_4578,type,
    sK4343: 
      !>[X0: $tType,X1: $tType] : ( ( X1 * set(product_prod(X1,X0)) ) > X0 ) ).

tff(func_def_4579,type,
    sK4344: 
      !>[X0: $tType,X1: $tType] : ( ( X1 * set(product_prod(X1,X0)) ) > X0 ) ).

tff(func_def_4580,type,
    sK4345: 
      !>[X0: $tType,X1: $tType] : ( ( product_prod(X0,X1) * set(product_prod(X1,X0)) ) > X1 ) ).

tff(func_def_4581,type,
    sK4346: 
      !>[X0: $tType,X1: $tType] : ( ( product_prod(X0,X1) * set(product_prod(X1,X0)) ) > X0 ) ).

tff(func_def_4582,type,
    sK4347: 
      !>[X0: $tType,X1: $tType] : ( ( X0 * X1 * set(product_prod(X1,X0)) ) > X1 ) ).

tff(func_def_4583,type,
    sK4348: 
      !>[X0: $tType,X1: $tType] : ( ( X0 * X1 * set(product_prod(X1,X0)) ) > X0 ) ).

tff(func_def_4584,type,
    sK4349: 
      !>[X0: $tType,X1: $tType] : ( set(product_prod(X0,X1)) > X0 ) ).

tff(func_def_4585,type,
    sK4350: 
      !>[X0: $tType,X1: $tType] : ( set(product_prod(X0,X1)) > X1 ) ).

tff(func_def_4586,type,
    sK4351: 
      !>[X0: $tType,X1: $tType] : ( set(product_prod(X0,X1)) > X1 ) ).

tff(func_def_4587,type,
    sK4352: 
      !>[X0: $tType,X1: $tType] : ( set(product_prod(X1,X0)) > X1 ) ).

tff(func_def_4588,type,
    sK4353: 
      !>[X0: $tType,X1: $tType] : ( set(product_prod(X1,X0)) > X0 ) ).

tff(func_def_4589,type,
    sK4354: 
      !>[X0: $tType,X1: $tType] : ( set(product_prod(X1,X0)) > X0 ) ).

tff(func_def_4590,type,
    sK4355: 
      !>[X0: $tType] : ( set(product_prod(X0,X0)) > X0 ) ).

tff(func_def_4591,type,
    sK4356: 
      !>[X0: $tType] : ( set(product_prod(X0,X0)) > X0 ) ).

tff(func_def_4592,type,
    sK4357: 
      !>[X0: $tType] : ( set(product_prod(X0,X0)) > X0 ) ).

tff(func_def_4593,type,
    sK4358: 
      !>[X0: $tType] : ( set(product_prod(X0,X0)) > X0 ) ).

tff(func_def_4594,type,
    sK4359: 
      !>[X0: $tType] : ( set(product_prod(X0,X0)) > X0 ) ).

tff(func_def_4595,type,
    sK4360: 
      !>[X0: $tType] : ( set(product_prod(X0,X0)) > X0 ) ).

tff(func_def_4596,type,
    sK4361: 
      !>[X0: $tType] : ( set(product_prod(X0,X0)) > X0 ) ).

tff(func_def_4597,type,
    sK4362: 
      !>[X0: $tType,X1: $tType] : ( fun(X1,fun(X0,$o)) > X1 ) ).

tff(func_def_4598,type,
    sK4363: 
      !>[X0: $tType,X1: $tType] : ( fun(X1,fun(X0,$o)) > X0 ) ).

tff(func_def_4599,type,
    sK4364: 
      !>[X0: $tType,X1: $tType] : ( fun(X1,fun(X0,$o)) > X0 ) ).

tff(func_def_4600,type,
    sK4365: 
      !>[X0: $tType,X1: $tType] : ( fun(X0,fun(X1,$o)) > X0 ) ).

tff(func_def_4601,type,
    sK4366: 
      !>[X0: $tType,X1: $tType] : ( fun(X0,fun(X1,$o)) > X1 ) ).

tff(func_def_4602,type,
    sK4367: 
      !>[X0: $tType,X1: $tType] : ( fun(X0,fun(X1,$o)) > X1 ) ).

tff(func_def_4603,type,
    sK4368: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,set(product_prod(X0,X0))) ) > X1 ) ).

tff(func_def_4604,type,
    sK4369: 
      !>[X0: $tType] : ( set(product_prod(X0,X0)) > product_prod(X0,X0) ) ).

tff(func_def_4605,type,
    sK4370: 
      !>[X0: $tType] : ( set(product_prod(X0,X0)) > X0 ) ).

tff(func_def_4606,type,
    sK4371: ( extended_enat * extended_enat * nat ) > nat ).

tff(func_def_4607,type,
    sK4372: ( extended_enat * extended_enat * nat ) > nat ).

tff(func_def_4608,type,
    sK4376: ( vEBT_VEBT * extended_enat * vEBT_VEBT ) > option(product_prod(nat,nat)) ).

tff(func_def_4609,type,
    sK4377: ( vEBT_VEBT * extended_enat * vEBT_VEBT ) > nat ).

tff(func_def_4610,type,
    sK4378: ( vEBT_VEBT * extended_enat * vEBT_VEBT ) > list(vEBT_VEBT) ).

tff(func_def_4611,type,
    sK4379: ( vEBT_VEBT * extended_enat * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_4612,type,
    sK4380: ( vEBT_VEBT * extended_enat * vEBT_VEBT ) > option(product_prod(nat,nat)) ).

tff(func_def_4613,type,
    sK4381: ( vEBT_VEBT * extended_enat * vEBT_VEBT ) > nat ).

tff(func_def_4614,type,
    sK4382: ( vEBT_VEBT * extended_enat * vEBT_VEBT ) > list(vEBT_VEBT) ).

tff(func_def_4615,type,
    sK4383: ( vEBT_VEBT * extended_enat * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_4616,type,
    sK4389: ( extended_enat * vEBT_VEBT * option(product_prod(nat,nat)) * nat * list(vEBT_VEBT) * vEBT_VEBT ) > nat ).

tff(func_def_4617,type,
    sK4392: product_prod(vEBT_VEBT,extended_enat) > extended_enat ).

tff(func_def_4618,type,
    sK4393: product_prod(vEBT_VEBT,extended_enat) > option(product_prod(nat,nat)) ).

tff(func_def_4619,type,
    sK4394: product_prod(vEBT_VEBT,extended_enat) > nat ).

tff(func_def_4620,type,
    sK4395: product_prod(vEBT_VEBT,extended_enat) > list(vEBT_VEBT) ).

tff(func_def_4621,type,
    sK4396: product_prod(vEBT_VEBT,extended_enat) > vEBT_VEBT ).

tff(func_def_4622,type,
    sK4397: product_prod(vEBT_VEBT,extended_enat) > option(product_prod(nat,nat)) ).

tff(func_def_4623,type,
    sK4398: product_prod(vEBT_VEBT,extended_enat) > nat ).

tff(func_def_4624,type,
    sK4399: product_prod(vEBT_VEBT,extended_enat) > list(vEBT_VEBT) ).

tff(func_def_4625,type,
    sK4400: product_prod(vEBT_VEBT,extended_enat) > vEBT_VEBT ).

tff(func_def_4626,type,
    sK4401: product_prod(vEBT_VEBT,extended_enat) > nat ).

tff(func_def_4627,type,
    sK4404: ( vEBT_VEBT * extended_enat * vEBT_VEBT ) > option(product_prod(nat,nat)) ).

tff(func_def_4628,type,
    sK4405: ( vEBT_VEBT * extended_enat * vEBT_VEBT ) > nat ).

tff(func_def_4629,type,
    sK4406: ( vEBT_VEBT * extended_enat * vEBT_VEBT ) > list(vEBT_VEBT) ).

tff(func_def_4630,type,
    sK4407: ( vEBT_VEBT * extended_enat * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_4631,type,
    sK4408: ( vEBT_VEBT * extended_enat * vEBT_VEBT ) > option(product_prod(nat,nat)) ).

tff(func_def_4632,type,
    sK4409: ( vEBT_VEBT * extended_enat * vEBT_VEBT ) > nat ).

tff(func_def_4633,type,
    sK4410: ( vEBT_VEBT * extended_enat * vEBT_VEBT ) > list(vEBT_VEBT) ).

tff(func_def_4634,type,
    sK4411: ( vEBT_VEBT * extended_enat * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_4635,type,
    sK4419: ( extended_enat * vEBT_VEBT * option(product_prod(nat,nat)) * nat * list(vEBT_VEBT) * vEBT_VEBT ) > nat ).

tff(func_def_4636,type,
    sK4420: 
      !>[X0: $tType] : ( X0 > nat ) ).

tff(func_def_4637,type,
    sK4421: 
      !>[X0: $tType] : ( fun(X0,$o) > nat ) ).

tff(func_def_4638,type,
    sK4422: ( nat * extended_enat ) > nat ).

tff(func_def_4639,type,
    sK4423: ( extended_enat * nat ) > nat ).

tff(func_def_4640,type,
    sK4424: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,fun(X1,$o)) * filter(X0) * filter(X1) ) > filter(product_prod(X0,X1)) ) ).

tff(func_def_4641,type,
    sK4425: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,fun(X1,$o)) * filter(X0) * filter(X1) ) > filter(product_prod(X0,X1)) ) ).

tff(func_def_4642,type,
    sK4426: fun(nat,rat) > rat ).

tff(func_def_4643,type,
    sK4427: ( fun(nat,rat) * rat ) > nat ).

tff(func_def_4644,type,
    sK4428: ( fun(nat,rat) * nat ) > nat ).

tff(func_def_4645,type,
    sK4429: ( fun(nat,rat) * nat ) > nat ).

tff(func_def_4646,type,
    sK4430: ( fun(nat,rat) * rat ) > nat ).

tff(func_def_4647,type,
    sK4431: fun(nat,rat) > rat ).

tff(func_def_4648,type,
    sK4432: ( fun(nat,rat) * nat ) > nat ).

tff(func_def_4649,type,
    sK4433: ( fun(nat,rat) * nat ) > nat ).

tff(func_def_4650,type,
    sK4434: ( fun(nat,rat) * fun(nat,rat) ) > rat ).

tff(func_def_4651,type,
    sK4435: ( fun(nat,rat) * fun(nat,rat) * rat ) > nat ).

tff(func_def_4652,type,
    sK4436: ( fun(nat,rat) * fun(nat,rat) * nat ) > nat ).

tff(func_def_4653,type,
    sK4437: fun(nat,rat) > rat ).

tff(func_def_4654,type,
    sK4438: fun(nat,rat) > nat ).

tff(func_def_4655,type,
    sK4439: ( fun(nat,rat) * rat ) > nat ).

tff(func_def_4656,type,
    sK4440: fun(nat,rat) > rat ).

tff(func_def_4657,type,
    sK4441: ( fun(nat,rat) * nat ) > nat ).

tff(func_def_4658,type,
    sK4442: fun(nat,rat) > rat ).

tff(func_def_4659,type,
    sK4443: ( fun(nat,rat) * rat ) > nat ).

tff(func_def_4660,type,
    sK4444: ( fun(nat,rat) * nat ) > nat ).

tff(func_def_4661,type,
    sK4445: fun(nat,rat) > rat ).

tff(func_def_4662,type,
    sK4446: fun(nat,rat) > nat ).

tff(func_def_4663,type,
    sK4447: fun(nat,rat) > rat ).

tff(func_def_4664,type,
    sK4448: ( fun(nat,rat) * rat ) > nat ).

tff(func_def_4665,type,
    sK4449: ( fun(nat,rat) * nat ) > nat ).

tff(func_def_4666,type,
    sK4450: fun(nat,rat) > rat ).

tff(func_def_4667,type,
    sK4451: fun(nat,rat) > nat ).

tff(func_def_4668,type,
    sK4452: ( fun(nat,rat) * rat * nat ) > nat ).

tff(func_def_4669,type,
    sK4453: fun(nat,rat) > rat ).

tff(func_def_4670,type,
    sK4454: fun(nat,rat) > nat ).

tff(func_def_4671,type,
    sK4455: ( fun(nat,rat) * rat * nat ) > nat ).

tff(func_def_4672,type,
    sK4456: real > rat ).

tff(func_def_4673,type,
    sK4457: real > nat ).

tff(func_def_4674,type,
    sK4458: ( real * rat * nat ) > nat ).

tff(func_def_4675,type,
    sK4459: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X1,fun(X0,$o)) * filter(X1) ) > X0 ) ).

tff(func_def_4676,type,
    sK4460: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X1,fun(X0,$o)) * filter(X1) ) > X0 ) ).

tff(func_def_4677,type,
    sK4461: 
      !>[X0: $tType] : ( ( fun(X0,$o) * fun(X0,$o) ) > X0 ) ).

tff(func_def_4678,type,
    sK4462: 
      !>[X0: $tType] : ( fun(X0,$o) > X0 ) ).

tff(func_def_4679,type,
    sK4463: 
      !>[X0: $tType] : ( ( fun(X0,$o) * fun(X0,$o) ) > X0 ) ).

tff(func_def_4680,type,
    sK4464: 
      !>[X0: $tType] : ( fun(X0,$o) > X0 ) ).

tff(func_def_4681,type,
    sK4465: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,fun(X0,$o)) * filter(X1) ) > fun(X1,X0) ) ).

tff(func_def_4682,type,
    sK4466: 
      !>[X0: $tType,X1: $tType] : ( ( list(X0) * fun(X0,fun(X1,X1)) ) > X0 ) ).

tff(func_def_4683,type,
    sK4467: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,fun(X1,$o)) * X1 ) > X0 ) ).

tff(func_def_4684,type,
    sK4468: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,fun(X1,$o)) * X1 ) > X0 ) ).

tff(func_def_4685,type,
    sK4469: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,fun(X1,$o)) * X1 ) > X1 ) ).

tff(func_def_4686,type,
    sK4470: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,fun(X1,$o)) * X1 ) > X0 ) ).

tff(func_def_4687,type,
    sK4471: 
      !>[X0: $tType,X1: $tType] : ( ( set(product_prod(X0,X0)) * set(product_prod(X1,X1)) ) > fun(X1,X0) ) ).

tff(func_def_4688,type,
    sK4472: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,$o)) * set(X0) * X0 ) > X0 ) ).

tff(func_def_4689,type,
    sK4473: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,$o)) * set(X0) * X0 ) > X0 ) ).

tff(func_def_4690,type,
    sK4474: fun(nat,rat) > rat ).

tff(func_def_4691,type,
    sK4475: fun(nat,rat) > nat ).

tff(func_def_4692,type,
    sK4476: ( fun(nat,rat) * rat * nat ) > nat ).

tff(func_def_4693,type,
    sK4477: 
      !>[X0: $tType] : ( product_prod(X0,X0) > X0 ) ).

tff(func_def_4694,type,
    sK4478: 
      !>[X0: $tType] : ( product_prod(X0,X0) > X0 ) ).

tff(func_def_4695,type,
    sK4479: 
      !>[X0: $tType] : ( product_prod(X0,X0) > X0 ) ).

tff(func_def_4696,type,
    sK4480: 
      !>[X0: $tType] : ( product_prod(X0,X0) > X0 ) ).

tff(func_def_4697,type,
    sK4481: 
      !>[X0: $tType] : ( product_prod(X0,X0) > X0 ) ).

tff(func_def_4698,type,
    sK4482: 
      !>[X0: $tType] : ( product_prod(X0,X0) > X0 ) ).

tff(func_def_4699,type,
    sK4483: 
      !>[X0: $tType] : ( product_prod(X0,X0) > X0 ) ).

tff(func_def_4700,type,
    sK4484: 
      !>[X0: $tType] : ( product_prod(X0,X0) > X0 ) ).

tff(func_def_4701,type,
    sK4485: 
      !>[X0: $tType] : ( product_prod(X0,X0) > X0 ) ).

tff(func_def_4702,type,
    sK4486: 
      !>[X0: $tType] : ( product_prod(X0,X0) > X0 ) ).

tff(func_def_4703,type,
    sK4487: 
      !>[X0: $tType] : ( product_prod(X0,X0) > X0 ) ).

tff(func_def_4704,type,
    sK4488: 
      !>[X0: $tType] : ( product_prod(X0,X0) > X0 ) ).

tff(func_def_4705,type,
    sK4489: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * set(product_prod(X0,X0)) ) > X0 ) ).

tff(func_def_4706,type,
    sK4490: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * set(product_prod(X0,X0)) ) > X0 ) ).

tff(func_def_4707,type,
    sK4491: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * set(product_prod(X0,X0)) ) > X0 ) ).

tff(func_def_4708,type,
    sK4492: 
      !>[X0: $tType] : ( ( fun(set(X0),$o) * set(X0) ) > set(X0) ) ).

tff(func_def_4709,type,
    sK4493: 
      !>[X0: $tType] : ( ( fun(set(X0),$o) * set(X0) ) > X0 ) ).

tff(func_def_4710,type,
    sK4494: 
      !>[X0: $tType] : ( ( fun(X0,$o) * X0 ) > X0 ) ).

tff(func_def_4711,type,
    sK4495: 
      !>[X0: $tType] : ( ( fun(X0,$o) * X0 ) > X0 ) ).

tff(func_def_4712,type,
    sK4496: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,fun(X1,$o)) * X0 ) > X1 ) ).

tff(func_def_4713,type,
    sK4497: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,fun(X1,$o)) * X0 ) > X1 ) ).

tff(func_def_4714,type,
    sK4498: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,fun(X1,$o)) * X0 ) > X1 ) ).

tff(func_def_4715,type,
    sK4499: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,fun(X1,$o)) * X1 ) > X0 ) ).

tff(func_def_4716,type,
    sK4500: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > fun(X0,real) ) ).

tff(func_def_4717,type,
    sK4501: 
      !>[X0: $tType] : ( ( list(X0) * X0 ) > nat ) ).

tff(func_def_4718,type,
    sK4502: 
      !>[X0: $tType] : ( ( set(set(X0)) * set(X0) ) > fun(set(X0),X0) ) ).

tff(func_def_4719,type,
    sK4503: 
      !>[X0: $tType] : ( ( set(set(X0)) * fun(set(X0),X0) ) > set(X0) ) ).

tff(func_def_4720,type,
    sK4504: 
      !>[X0: $tType] : ( ( set(set(X0)) * set(X0) ) > fun(set(X0),X0) ) ).

tff(func_def_4721,type,
    sK4505: 
      !>[X0: $tType] : ( ( set(set(X0)) * fun(set(X0),X0) ) > set(X0) ) ).

tff(func_def_4722,type,
    sK4506: 
      !>[X0: $tType] : ( ( set(X0) * set(X0) ) > set(X0) ) ).

tff(func_def_4723,type,
    sK4507: 
      !>[X0: $tType] : ( ( set(filter(X0)) * filter(X0) ) > filter(X0) ) ).

tff(func_def_4724,type,
    sK4508: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_4725,type,
    sK4509: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_4726,type,
    sK4510: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_4727,type,
    sK4511: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_4728,type,
    sK4512: 
      !>[X0: $tType] : ( ( set(filter(X0)) * fun(X0,$o) ) > filter(X0) ) ).

tff(func_def_4729,type,
    sK4513: 
      !>[X0: $tType] : ( ( fun(X0,$o) * X0 ) > X0 ) ).

tff(func_def_4730,type,
    sK4514: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * set(X0) ) > X0 ) ).

tff(func_def_4731,type,
    sK4515: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * set(X0) ) > X0 ) ).

tff(func_def_4732,type,
    sK4516: 
      !>[X0: $tType,X1: $tType] : ( ( set(product_prod(X1,X0)) * X1 ) > X0 ) ).

tff(func_def_4733,type,
    sK4517: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,option(X1)) * X1 ) > X0 ) ).

tff(func_def_4734,type,
    sK4518: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * X0 ) > X1 ) ).

tff(func_def_4735,type,
    sK4519: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > set(X0) ) ).

tff(func_def_4736,type,
    sK4520: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > fun(X0,real) ) ).

tff(func_def_4737,type,
    sK4521: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,option(X1)) * product_prod(X0,X1) ) > X0 ) ).

tff(func_def_4738,type,
    sK4522: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,option(X1)) * product_prod(X0,X1) ) > X1 ) ).

tff(func_def_4739,type,
    sK4523: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * product_prod(set(X0),set(X0)) ) > set(X0) ) ).

tff(func_def_4740,type,
    sK4524: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * product_prod(set(X0),set(X0)) ) > set(X0) ) ).

tff(func_def_4741,type,
    sK4525: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * set(X0) * set(X0) ) > X0 ) ).

tff(func_def_4742,type,
    sK4526: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * product_prod(set(X0),set(X0)) * X0 ) > X0 ) ).

tff(func_def_4743,type,
    sK4527: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * list(X0) * list(X0) ) > list(X0) ) ).

tff(func_def_4744,type,
    sK4528: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * list(X0) * list(X0) ) > X0 ) ).

tff(func_def_4745,type,
    sK4529: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * list(X0) * list(X0) ) > X0 ) ).

tff(func_def_4746,type,
    sK4530: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * list(X0) * list(X0) ) > list(X0) ) ).

tff(func_def_4747,type,
    sK4531: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * list(X0) * list(X0) ) > list(X0) ) ).

tff(func_def_4748,type,
    sK4532: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * set(X0) * X0 ) > X0 ) ).

tff(func_def_4749,type,
    sK4533: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * set(X0) * X0 ) > X0 ) ).

tff(func_def_4750,type,
    sK4534: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * set(X0) * X0 ) > X0 ) ).

tff(func_def_4751,type,
    sK4535: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * set(X0) * X0 ) > X0 ) ).

tff(func_def_4752,type,
    sK4536: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,$o)) * fun(X0,$o) * X0 ) > X0 ) ).

tff(func_def_4753,type,
    sK4537: 
      !>[X0: $tType] : ( ( fun(X0,$o) * X0 ) > set(X0) ) ).

tff(func_def_4754,type,
    sK4538: 
      !>[X0: $tType] : ( ( fun(X0,X0) * fun(X0,$o) * X0 ) > X0 ) ).

tff(func_def_4755,type,
    sK4539: 
      !>[X0: $tType] : ( ( fun(X0,$o) * set(X0) ) > X0 ) ).

tff(func_def_4756,type,
    sK4540: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * set(X0) * set(X0) ) > X0 ) ).

tff(func_def_4757,type,
    sK4541: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * set(X0) * X0 ) > X0 ) ).

tff(func_def_4758,type,
    sK4542: 
      !>[X0: $tType,X1: $tType] : ( ( list(X0) * list(X1) * product_prod(X0,X1) ) > nat ) ).

tff(func_def_4759,type,
    sK4543: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,X0) * product_prod(X1,X0) ) > X1 ) ).

tff(func_def_4760,type,
    sK4544: 
      !>[X0: $tType] : ( ( list(X0) * set(nat) * X0 ) > nat ) ).

tff(func_def_4761,type,
    sK4545: 
      !>[X0: $tType] : ( ( set(X0) * X0 * X0 ) > X0 ) ).

tff(func_def_4762,type,
    sK4546: 
      !>[X0: $tType] : ( ( set(X0) * X0 * X0 ) > X0 ) ).

tff(func_def_4763,type,
    sK4547: 
      !>[X0: $tType] : ( ( X0 * set(X0) * X0 ) > real ) ).

tff(func_def_4764,type,
    sK4548: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * set(X1) * X0 ) > X1 ) ).

tff(func_def_4765,type,
    sK4549: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * fun(X1,$o) * X0 ) > X1 ) ).

tff(func_def_4766,type,
    sK4550: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X0,fun(X1,$o)) * X0 ) > X1 ) ).

tff(func_def_4767,type,
    sK4551: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X0,fun(X1,$o)) * X0 ) > X1 ) ).

tff(func_def_4768,type,
    sK4552: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,fun(X1,$o)) * set(X0) * X1 ) > X0 ) ).

tff(func_def_4769,type,
    sK4553: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * X0 * X0 ) > product_prod(X0,X0) ) ).

tff(func_def_4770,type,
    sK4554: 
      !>[X0: $tType,X1: $tType] : ( ( set(product_prod(X1,X0)) * set(X1) * X0 ) > X1 ) ).

tff(func_def_4771,type,
    sK4555: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * set(X1) * X1 ) > X1 ) ).

tff(func_def_4772,type,
    sK4556: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,option(X1)) * set(X0) * X1 ) > X0 ) ).

tff(func_def_4773,type,
    sK4557: 
      !>[X0: $tType] : ( ( fun(nat,X0) * fun(nat,real) * nat ) > nat ) ).

tff(func_def_4774,type,
    sK4558: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * set(X1) * X0 ) > X1 ) ).

tff(func_def_4775,type,
    sK4559: 
      !>[X0: $tType] : ( ( fun(nat,X0) * fun(nat,real) * nat ) > nat ) ).

tff(func_def_4776,type,
    sK4560: 
      !>[X0: $tType] : ( ( fun(nat,X0) * fun(nat,real) * nat ) > nat ) ).

tff(func_def_4777,type,
    sK4561: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * filter(X0) * fun(X1,$o) ) > fun(X0,$o) ) ).

tff(func_def_4778,type,
    sK4562: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * fun(X1,$o) * fun(X0,$o) ) > X1 ) ).

tff(func_def_4779,type,
    sK4563: 
      !>[X0: $tType,X1: $tType] : ( ( set(product_prod(X1,X1)) * fun(X1,X0) * product_prod(X0,X0) ) > X1 ) ).

tff(func_def_4780,type,
    sK4564: 
      !>[X0: $tType,X1: $tType] : ( ( set(product_prod(X1,X1)) * fun(X1,X0) * product_prod(X0,X0) ) > X1 ) ).

tff(func_def_4781,type,
    sK4565: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * list(X0) * list(X0) ) > X0 ) ).

tff(func_def_4782,type,
    sK4566: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * list(X0) * list(X0) ) > list(X0) ) ).

tff(func_def_4783,type,
    sK4567: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * list(X0) * list(X0) ) > list(X0) ) ).

tff(func_def_4784,type,
    sK4568: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * list(X0) * list(X0) ) > X0 ) ).

tff(func_def_4785,type,
    sK4569: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * list(X0) * list(X0) ) > X0 ) ).

tff(func_def_4786,type,
    sK4570: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * list(X0) * list(X0) ) > list(X0) ) ).

tff(func_def_4787,type,
    sK4571: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * list(X0) * list(X0) ) > list(X0) ) ).

tff(func_def_4788,type,
    sK4572: 
      !>[X0: $tType] : ( ( set(X0) * set(X0) * X0 ) > X0 ) ).

tff(func_def_4789,type,
    sK4573: 
      !>[X0: $tType] : ( ( set(X0) * set(X0) * X0 ) > X0 ) ).

tff(func_def_4790,type,
    sK4574: 
      !>[X0: $tType] : ( ( set(X0) * set(X0) * X0 ) > X0 ) ).

tff(func_def_4791,type,
    sK4575: 
      !>[X0: $tType] : ( ( set(X0) * set(X0) * X0 ) > X0 ) ).

tff(func_def_4792,type,
    sK4576: 
      !>[X0: $tType] : ( ( set(X0) * set(X0) * X0 ) > X0 ) ).

tff(func_def_4793,type,
    sK4577: 
      !>[X0: $tType] : ( ( set(X0) * set(X0) * X0 ) > X0 ) ).

tff(func_def_4794,type,
    sK4578: 
      !>[X0: $tType] : ( ( filter(X0) * filter(X0) * fun(X0,$o) ) > fun(X0,$o) ) ).

tff(func_def_4795,type,
    sK4579: 
      !>[X0: $tType] : ( ( filter(X0) * filter(X0) * fun(X0,$o) ) > fun(X0,$o) ) ).

tff(func_def_4796,type,
    sK4580: 
      !>[X0: $tType] : ( ( fun(X0,$o) * fun(X0,$o) * fun(X0,$o) ) > X0 ) ).

tff(func_def_4797,type,
    sK4581: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * list(X0) * list(X0) ) > list(X0) ) ).

tff(func_def_4798,type,
    sK4582: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * list(X0) * list(X0) ) > X0 ) ).

tff(func_def_4799,type,
    sK4583: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * list(X0) * list(X0) ) > X0 ) ).

tff(func_def_4800,type,
    sK4584: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * list(X0) * list(X0) ) > list(X0) ) ).

tff(func_def_4801,type,
    sK4585: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * list(X0) * list(X0) ) > list(X0) ) ).

tff(func_def_4802,type,
    sK4586: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * list(X0) * list(X0) ) > X0 ) ).

tff(func_def_4803,type,
    sK4587: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * list(X0) * list(X0) ) > X0 ) ).

tff(func_def_4804,type,
    sK4588: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * list(X0) * list(X0) ) > list(X0) ) ).

tff(func_def_4805,type,
    sK4589: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * list(X0) * list(X0) ) > list(X0) ) ).

tff(func_def_4806,type,
    sK4590: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( set(product_prod(X0,X2)) * set(product_prod(X2,X1)) * X0 * X1 ) > X2 ) ).

tff(func_def_4807,type,
    sK4591: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( set(X2) * fun(X2,X1) * fun(X2,X0) * product_prod(X1,X0) ) > X2 ) ).

tff(func_def_4808,type,
    sK4592: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * set(product_prod(X1,X1)) * fun(X0,X1) * product_prod(X0,X0) ) > X0 ) ).

tff(func_def_4809,type,
    sK4593: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * set(product_prod(X1,X1)) * fun(X0,X1) * product_prod(X0,X0) ) > X0 ) ).

tff(func_def_4810,type,
    sK4594: ( list(vEBT_VEBT) * vEBT_VEBT * nat ) > nat ).

tff(func_def_4811,type,
    sK4595: list(vEBT_VEBT) > vEBT_VEBT ).

tff(func_def_4812,type,
    sK4596: ( nat * list(vEBT_VEBT) * nat * nat * nat ) > nat ).

tff(func_def_4813,type,
    sK4597: list(vEBT_VEBT) > nat ).

tff(func_def_4814,type,
    sK4600: ( list(vEBT_VEBT) * nat ) > nat ).

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,
    ring_1: 
      !>[X0: $tType] : $o ).

tff(pred_def_14,type,
    uminus: 
      !>[X0: $tType] : $o ).

tff(pred_def_15,type,
    bot: 
      !>[X0: $tType] : $o ).

tff(pred_def_16,type,
    ord: 
      !>[X0: $tType] : $o ).

tff(pred_def_17,type,
    top: 
      !>[X0: $tType] : $o ).

tff(pred_def_18,type,
    inverse: 
      !>[X0: $tType] : $o ).

tff(pred_def_19,type,
    semiring: 
      !>[X0: $tType] : $o ).

tff(pred_def_20,type,
    ring_char_0: 
      !>[X0: $tType] : $o ).

tff(pred_def_21,type,
    neg_numeral: 
      !>[X0: $tType] : $o ).

tff(pred_def_22,type,
    order: 
      !>[X0: $tType] : $o ).

tff(pred_def_23,type,
    comm_ring: 
      !>[X0: $tType] : $o ).

tff(pred_def_24,type,
    semiring_Gcd: 
      !>[X0: $tType] : $o ).

tff(pred_def_25,type,
    semiring_gcd: 
      !>[X0: $tType] : $o ).

tff(pred_def_26,type,
    group_add: 
      !>[X0: $tType] : $o ).

tff(pred_def_27,type,
    lattice: 
      !>[X0: $tType] : $o ).

tff(pred_def_28,type,
    no_bot: 
      !>[X0: $tType] : $o ).

tff(pred_def_29,type,
    no_top: 
      !>[X0: $tType] : $o ).

tff(pred_def_30,type,
    semiring_0: 
      !>[X0: $tType] : $o ).

tff(pred_def_31,type,
    semiring_1: 
      !>[X0: $tType] : $o ).

tff(pred_def_32,type,
    finite_finite: 
      !>[X0: $tType] : $o ).

tff(pred_def_33,type,
    monoid_add: 
      !>[X0: $tType] : $o ).

tff(pred_def_34,type,
    comm_ring_1: 
      !>[X0: $tType] : $o ).

tff(pred_def_35,type,
    ln: 
      !>[X0: $tType] : $o ).

tff(pred_def_36,type,
    monoid_mult: 
      !>[X0: $tType] : $o ).

tff(pred_def_37,type,
    linorder: 
      !>[X0: $tType] : $o ).

tff(pred_def_38,type,
    preorder: 
      !>[X0: $tType] : $o ).

tff(pred_def_39,type,
    ring_parity: 
      !>[X0: $tType] : $o ).

tff(pred_def_40,type,
    ordered_ring: 
      !>[X0: $tType] : $o ).

tff(pred_def_41,type,
    finite_lattice: 
      !>[X0: $tType] : $o ).

tff(pred_def_42,type,
    field_char_0: 
      !>[X0: $tType] : $o ).

tff(pred_def_43,type,
    ab_group_add: 
      !>[X0: $tType] : $o ).

tff(pred_def_44,type,
    semiring_char_0: 
      !>[X0: $tType] : $o ).

tff(pred_def_45,type,
    order_bot: 
      !>[X0: $tType] : $o ).

tff(pred_def_46,type,
    order_top: 
      !>[X0: $tType] : $o ).

tff(pred_def_47,type,
    wellorder: 
      !>[X0: $tType] : $o ).

tff(pred_def_48,type,
    comm_semiring: 
      !>[X0: $tType] : $o ).

tff(pred_def_49,type,
    zero_less_one: 
      !>[X0: $tType] : $o ).

tff(pred_def_50,type,
    division_ring: 
      !>[X0: $tType] : $o ).

tff(pred_def_51,type,
    semigroup_add: 
      !>[X0: $tType] : $o ).

tff(pred_def_52,type,
    semiring_numeral: 
      !>[X0: $tType] : $o ).

tff(pred_def_53,type,
    semidom_divide: 
      !>[X0: $tType] : $o ).

tff(pred_def_54,type,
    semidom_modulo: 
      !>[X0: $tType] : $o ).

tff(pred_def_55,type,
    semigroup_mult: 
      !>[X0: $tType] : $o ).

tff(pred_def_56,type,
    dense_order: 
      !>[X0: $tType] : $o ).

tff(pred_def_57,type,
    comm_semiring_0: 
      !>[X0: $tType] : $o ).

tff(pred_def_58,type,
    comm_semiring_1: 
      !>[X0: $tType] : $o ).

tff(pred_def_59,type,
    linordered_idom: 
      !>[X0: $tType] : $o ).

tff(pred_def_60,type,
    linordered_ring: 
      !>[X0: $tType] : $o ).

tff(pred_def_61,type,
    semiring_modulo: 
      !>[X0: $tType] : $o ).

tff(pred_def_62,type,
    comm_monoid_add: 
      !>[X0: $tType] : $o ).

tff(pred_def_63,type,
    semiring_parity: 
      !>[X0: $tType] : $o ).

tff(pred_def_64,type,
    ordered_ring_abs: 
      !>[X0: $tType] : $o ).

tff(pred_def_65,type,
    ordered_semiring: 
      !>[X0: $tType] : $o ).

tff(pred_def_66,type,
    linordered_field: 
      !>[X0: $tType] : $o ).

tff(pred_def_67,type,
    ab_semigroup_add: 
      !>[X0: $tType] : $o ).

tff(pred_def_68,type,
    comm_monoid_diff: 
      !>[X0: $tType] : $o ).

tff(pred_def_69,type,
    comm_monoid_mult: 
      !>[X0: $tType] : $o ).

tff(pred_def_70,type,
    algebraic_semidom: 
      !>[X0: $tType] : $o ).

tff(pred_def_71,type,
    semiring_1_cancel: 
      !>[X0: $tType] : $o ).

tff(pred_def_72,type,
    ab_semigroup_mult: 
      !>[X0: $tType] : $o ).

tff(pred_def_73,type,
    bounded_lattice: 
      !>[X0: $tType] : $o ).

tff(pred_def_74,type,
    distrib_lattice: 
      !>[X0: $tType] : $o ).

tff(pred_def_75,type,
    semilattice_inf: 
      !>[X0: $tType] : $o ).

tff(pred_def_76,type,
    semilattice_sup: 
      !>[X0: $tType] : $o ).

tff(pred_def_77,type,
    dense_linorder: 
      !>[X0: $tType] : $o ).

tff(pred_def_78,type,
    linordered_semidom: 
      !>[X0: $tType] : $o ).

tff(pred_def_79,type,
    ordered_semiring_0: 
      !>[X0: $tType] : $o ).

tff(pred_def_80,type,
    real_Vector_banach: 
      !>[X0: $tType] : $o ).

tff(pred_def_81,type,
    linordered_semiring: 
      !>[X0: $tType] : $o ).

tff(pred_def_82,type,
    comple9053668089753744459l_ccpo: 
      !>[X0: $tType] : $o ).

tff(pred_def_83,type,
    finite8700451911770168679attice: 
      !>[X0: $tType] : $o ).

tff(pred_def_84,type,
    cancel_semigroup_add: 
      !>[X0: $tType] : $o ).

tff(pred_def_85,type,
    ordered_ab_group_add: 
      !>[X0: $tType] : $o ).

tff(pred_def_86,type,
    linord6961819062388156250ring_1: 
      !>[X0: $tType] : $o ).

tff(pred_def_87,type,
    ordere2520102378445227354miring: 
      !>[X0: $tType] : $o ).

tff(pred_def_88,type,
    topological_t1_space: 
      !>[X0: $tType] : $o ).

tff(pred_def_89,type,
    topological_t2_space: 
      !>[X0: $tType] : $o ).

tff(pred_def_90,type,
    topological_t3_space: 
      !>[X0: $tType] : $o ).

tff(pred_def_91,type,
    topological_t4_space: 
      !>[X0: $tType] : $o ).

tff(pred_def_92,type,
    bit_semiring_bits: 
      !>[X0: $tType] : $o ).

tff(pred_def_93,type,
    bounded_lattice_bot: 
      !>[X0: $tType] : $o ).

tff(pred_def_94,type,
    topolo1633459387980952147up_add: 
      !>[X0: $tType] : $o ).

tff(pred_def_95,type,
    comm_s4317794764714335236cancel: 
      !>[X0: $tType] : $o ).

tff(pred_def_96,type,
    linord4710134922213307826strict: 
      !>[X0: $tType] : $o ).

tff(pred_def_97,type,
    cancel1802427076303600483id_add: 
      !>[X0: $tType] : $o ).

tff(pred_def_98,type,
    topolo6943815403480290642id_add: 
      !>[X0: $tType] : $o ).

tff(pred_def_99,type,
    real_V7773925162809079976_field: 
      !>[X0: $tType] : $o ).

tff(pred_def_100,type,
    ring_15535105094025558882visors: 
      !>[X0: $tType] : $o ).

tff(pred_def_101,type,
    cancel2418104881723323429up_add: 
      !>[X0: $tType] : $o ).

tff(pred_def_102,type,
    linord5086331880401160121up_add: 
      !>[X0: $tType] : $o ).

tff(pred_def_103,type,
    ordere6911136660526730532id_add: 
      !>[X0: $tType] : $o ).

tff(pred_def_104,type,
    topolo1898628316856586783d_mult: 
      !>[X0: $tType] : $o ).

tff(pred_def_105,type,
    real_V4867850818363320053vector: 
      !>[X0: $tType] : $o ).

tff(pred_def_106,type,
    archim2362893244070406136eiling: 
      !>[X0: $tType] : $o ).

tff(pred_def_107,type,
    semiri6843258321239162965malize: 
      !>[X0: $tType] : $o ).

tff(pred_def_108,type,
    ordere166539214618696060dd_abs: 
      !>[X0: $tType] : $o ).

tff(pred_def_109,type,
    ordere6658533253407199908up_add: 
      !>[X0: $tType] : $o ).

tff(pred_def_110,type,
    topolo1287966508704411220up_add: 
      !>[X0: $tType] : $o ).

tff(pred_def_111,type,
    real_V7819770556892013058_space: 
      !>[X0: $tType] : $o ).

tff(pred_def_112,type,
    semiri3467727345109120633visors: 
      !>[X0: $tType] : $o ).

tff(pred_def_113,type,
    boolea8198339166811842893lgebra: 
      !>[X0: $tType] : $o ).

tff(pred_def_114,type,
    linord8928482502909563296strict: 
      !>[X0: $tType] : $o ).

tff(pred_def_115,type,
    topolo8386298272705272623_space: 
      !>[X0: $tType] : $o ).

tff(pred_def_116,type,
    topolo7287701948861334536_space: 
      !>[X0: $tType] : $o ).

tff(pred_def_117,type,
    real_V8037385150606011577_space: 
      !>[X0: $tType] : $o ).

tff(pred_def_118,type,
    real_V2191834092415804123ebra_1: 
      !>[X0: $tType] : $o ).

tff(pred_def_119,type,
    linord181362715937106298miring: 
      !>[X0: $tType] : $o ).

tff(pred_def_120,type,
    semiri2026040879449505780visors: 
      !>[X0: $tType] : $o ).

tff(pred_def_121,type,
    topolo2564578578187576103pology: 
      !>[X0: $tType] : $o ).

tff(pred_def_122,type,
    bit_ri3973907225187159222ations: 
      !>[X0: $tType] : $o ).

tff(pred_def_123,type,
    comple6319245703460814977attice: 
      !>[X0: $tType] : $o ).

tff(pred_def_124,type,
    linord4140545234300271783up_add: 
      !>[X0: $tType] : $o ).

tff(pred_def_125,type,
    topolo5987344860129210374id_add: 
      !>[X0: $tType] : $o ).

tff(pred_def_126,type,
    unboun7993243217541854897norder: 
      !>[X0: $tType] : $o ).

tff(pred_def_127,type,
    real_V768167426530841204y_dist: 
      !>[X0: $tType] : $o ).

tff(pred_def_128,type,
    linord715952674999750819strict: 
      !>[X0: $tType] : $o ).

tff(pred_def_129,type,
    archim462609752435547400_field: 
      !>[X0: $tType] : $o ).

tff(pred_def_130,type,
    comple5582772986160207858norder: 
      !>[X0: $tType] : $o ).

tff(pred_def_131,type,
    real_V5047593784448816457lgebra: 
      !>[X0: $tType] : $o ).

tff(pred_def_132,type,
    bounde4346867609351753570nf_top: 
      !>[X0: $tType] : $o ).

tff(pred_def_133,type,
    bounde4967611905675639751up_bot: 
      !>[X0: $tType] : $o ).

tff(pred_def_134,type,
    real_V3459762299906320749_field: 
      !>[X0: $tType] : $o ).

tff(pred_def_135,type,
    topolo8865339358273720382pology: 
      !>[X0: $tType] : $o ).

tff(pred_def_136,type,
    topolo1944317154257567458pology: 
      !>[X0: $tType] : $o ).

tff(pred_def_137,type,
    topolo4958980785337419405_space: 
      !>[X0: $tType] : $o ).

tff(pred_def_138,type,
    canoni5634975068530333245id_add: 
      !>[X0: $tType] : $o ).

tff(pred_def_139,type,
    ordere8940638589300402666id_add: 
      !>[X0: $tType] : $o ).

tff(pred_def_140,type,
    strict7427464778891057005id_add: 
      !>[X0: $tType] : $o ).

tff(pred_def_141,type,
    real_V822414075346904944vector: 
      !>[X0: $tType] : $o ).

tff(pred_def_142,type,
    linord2810124833399127020strict: 
      !>[X0: $tType] : $o ).

tff(pred_def_143,type,
    bit_se359711467146920520ations: 
      !>[X0: $tType] : $o ).

tff(pred_def_144,type,
    ordere2412721322843649153imp_le: 
      !>[X0: $tType] : $o ).

tff(pred_def_145,type,
    ordere580206878836729694up_add: 
      !>[X0: $tType] : $o ).

tff(pred_def_146,type,
    ordere1170586879665033532d_diff: 
      !>[X0: $tType] : $o ).

tff(pred_def_147,type,
    strict9044650504122735259up_add: 
      !>[X0: $tType] : $o ).

tff(pred_def_148,type,
    real_V5355595471888546746vector: 
      !>[X0: $tType] : $o ).

tff(pred_def_149,type,
    real_V4412858255891104859lgebra: 
      !>[X0: $tType] : $o ).

tff(pred_def_150,type,
    euclid8851590272496341667cancel: 
      !>[X0: $tType] : $o ).

tff(pred_def_151,type,
    real_V2822296259951069270ebra_1: 
      !>[X0: $tType] : $o ).

tff(pred_def_152,type,
    unique1627219031080169319umeral: 
      !>[X0: $tType] : $o ).

tff(pred_def_153,type,
    comple592849572758109894attice: 
      !>[X0: $tType] : $o ).

tff(pred_def_154,type,
    real_V8999393235501362500lgebra: 
      !>[X0: $tType] : $o ).

tff(pred_def_155,type,
    topolo3112930676232923870pology: 
      !>[X0: $tType] : $o ).

tff(pred_def_156,type,
    euclid4440199948858584721cancel: 
      !>[X0: $tType] : $o ).

tff(pred_def_157,type,
    euclid3128863361964157862miring: 
      !>[X0: $tType] : $o ).

tff(pred_def_158,type,
    topolo8458572112393995274pology: 
      !>[X0: $tType] : $o ).

tff(pred_def_159,type,
    ordere1937475149494474687imp_le: 
      !>[X0: $tType] : $o ).

tff(pred_def_160,type,
    euclid8789492081693882211th_nat: 
      !>[X0: $tType] : $o ).

tff(pred_def_161,type,
    euclid5411537665997757685th_nat: 
      !>[X0: $tType] : $o ).

tff(pred_def_162,type,
    counta3822494911875563373attice: 
      !>[X0: $tType] : $o ).

tff(pred_def_163,type,
    semiri1453513574482234551roduct: 
      !>[X0: $tType] : $o ).

tff(pred_def_164,type,
    bit_un5681908812861735899ations: 
      !>[X0: $tType] : $o ).

tff(pred_def_165,type,
    condit1219197933456340205attice: 
      !>[X0: $tType] : $o ).

tff(pred_def_166,type,
    counta4013691401010221786attice: 
      !>[X0: $tType] : $o ).

tff(pred_def_167,type,
    condit6923001295902523014norder: 
      !>[X0: $tType] : $o ).

tff(pred_def_168,type,
    bNF_Cardinal_cfinite: 
      !>[X0: $tType] : ( set(product_prod(X0,X0)) > $o ) ).

tff(pred_def_169,type,
    bNF_Ca4139267488887388095finite: 
      !>[X0: $tType] : ( set(product_prod(X0,X0)) > $o ) ).

tff(pred_def_170,type,
    bNF_Ca8970107618336181345der_on: 
      !>[X0: $tType] : ( ( set(X0) * set(product_prod(X0,X0)) ) > $o ) ).

tff(pred_def_171,type,
    bNF_Ca7293521722713021262ofinal: 
      !>[X0: $tType] : ( ( set(X0) * set(product_prod(X0,X0)) ) > $o ) ).

tff(pred_def_172,type,
    bNF_Ca6246979054910435723ardSuc: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * set(product_prod(set(X0),set(X0))) ) > $o ) ).

tff(pred_def_173,type,
    bNF_Ca7133664381575040944arCard: 
      !>[X0: $tType] : ( set(product_prod(X0,X0)) > $o ) ).

tff(pred_def_174,type,
    bNF_Ca3754400796208372196lChain: 
      !>[X0: $tType,X1: $tType] : ( ( set(product_prod(X0,X0)) * fun(X0,X1) ) > $o ) ).

tff(pred_def_175,type,
    bNF_Gr1419584066657907630d_pred: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * set(product_prod(X1,X1)) * fun(X0,X1) ) > $o ) ).

tff(pred_def_176,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_177,type,
    bNF_Wellorder_wo_rel: 
      !>[X0: $tType] : ( set(product_prod(X0,X0)) > $o ) ).

tff(pred_def_178,type,
    bNF_We4791949203932849705sMinim: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * set(X0) * X0 ) > $o ) ).

tff(pred_def_179,type,
    bit_se6407376104438227557le_bit: 
      !>[X0: $tType] : ( ( itself(X0) * nat ) > $o ) ).

tff(pred_def_180,type,
    boolea2506097494486148201lgebra: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,X0)) * fun(X0,fun(X0,X0)) * fun(X0,X0) * X0 * X0 ) > $o ) ).

tff(pred_def_181,type,
    comple1908693960933563346ssible: 
      !>[X0: $tType] : ( ( fun(set(X0),X0) * fun(X0,fun(X0,$o)) * fun(X0,$o) ) > $o ) ).

tff(pred_def_182,type,
    comple1602240252501008431_chain: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,$o)) * set(X0) ) > $o ) ).

tff(pred_def_183,type,
    condit941137186595557371_above: 
      !>[X0: $tType] : ( set(X0) > $o ) ).

tff(pred_def_184,type,
    condit1013018076250108175_below: 
      !>[X0: $tType] : ( set(X0) > $o ) ).

tff(pred_def_185,type,
    countable_countable: 
      !>[X0: $tType] : ( set(X0) > $o ) ).

tff(pred_def_186,type,
    has_derivative: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * fun(X0,X1) * filter(X0) ) > $o ) ).

tff(pred_def_187,type,
    has_field_derivative: 
      !>[X0: $tType] : ( ( fun(X0,X0) * X0 * filter(X0) ) > $o ) ).

tff(pred_def_188,type,
    has_ve8173657378732805170vative: 
      !>[X0: $tType] : ( ( fun(real,X0) * X0 * filter(real) ) > $o ) ).

tff(pred_def_189,type,
    eucl_rel_int: ( int * int * product_prod(int,int) ) > $o ).

tff(pred_def_190,type,
    unique5940410009612947441es_aux: 
      !>[X0: $tType] : ( product_prod(X0,X0) > $o ) ).

tff(pred_def_191,type,
    equiv_congruent: 
      !>[X0: $tType,X1: $tType] : ( ( set(product_prod(X0,X0)) * fun(X0,X1) ) > $o ) ).

tff(pred_def_192,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_193,type,
    equiv_equiv: 
      !>[X0: $tType] : ( ( set(X0) * set(product_prod(X0,X0)) ) > $o ) ).

tff(pred_def_194,type,
    filterlim: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * filter(X1) * filter(X0) ) > $o ) ).

tff(pred_def_195,type,
    finite6289374366891150609ommute: 
      !>[X0: $tType,X1: $tType] : ( fun(X0,fun(X1,X1)) > $o ) ).

tff(pred_def_196,type,
    finite4664212375090638736ute_on: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,fun(X1,X1)) ) > $o ) ).

tff(pred_def_197,type,
    finite673082921795544331dem_on: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,fun(X1,X1)) ) > $o ) ).

tff(pred_def_198,type,
    finite_fold_graph: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,fun(X1,X1)) * X1 * set(X0) * X1 ) > $o ) ).

tff(pred_def_199,type,
    finite1890593828518410140dem_on: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,fun(X1,X1)) ) > $o ) ).

tff(pred_def_200,type,
    finite_folding_on: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,fun(X1,X1)) ) > $o ) ).

tff(pred_def_201,type,
    bij_betw: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * set(X0) * set(X1) ) > $o ) ).

tff(pred_def_202,type,
    inj_on: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * set(X0) ) > $o ) ).

tff(pred_def_203,type,
    fun_reduction_pair: 
      !>[X0: $tType] : ( product_prod(set(product_prod(X0,X0)),set(product_prod(X0,X0))) > $o ) ).

tff(pred_def_204,type,
    nO_MATCH: 
      !>[X0: $tType,X1: $tType] : ( ( X0 * X1 ) > $o ) ).

tff(pred_def_205,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_206,type,
    lattic501386751177426532rg_min: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * fun(X0,$o) * X0 ) > $o ) ).

tff(pred_def_207,type,
    lattic4895041142388067077er_set: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,X0)) * fun(X0,fun(X0,$o)) * fun(X0,fun(X0,$o)) ) > $o ) ).

tff(pred_def_208,type,
    lattic149705377957585745ce_set: 
      !>[X0: $tType] : ( fun(X0,fun(X0,X0)) > $o ) ).

tff(pred_def_209,type,
    bfun: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * filter(X0) ) > $o ) ).

tff(pred_def_210,type,
    distinct: 
      !>[X0: $tType] : ( list(X0) > $o ) ).

tff(pred_def_211,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_212,type,
    lexordp: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,$o)) * list(X0) * list(X0) ) > $o ) ).

tff(pred_def_213,type,
    listrel1p: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,$o)) * list(X0) * list(X0) ) > $o ) ).

tff(pred_def_214,type,
    null: 
      !>[X0: $tType] : ( list(X0) > $o ) ).

tff(pred_def_215,type,
    ord_lexordp: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) ) > $o ) ).

tff(pred_def_216,type,
    sorted_wrt: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,$o)) * list(X0) ) > $o ) ).

tff(pred_def_217,type,
    ring_1_iszero: 
      !>[X0: $tType] : ( X0 > $o ) ).

tff(pred_def_218,type,
    order_inf_continuous: 
      !>[X0: $tType,X1: $tType] : ( fun(X0,X1) > $o ) ).

tff(pred_def_219,type,
    order_sup_continuous: 
      !>[X0: $tType,X1: $tType] : ( fun(X0,X1) > $o ) ).

tff(pred_def_220,type,
    order_679001287576687338der_on: 
      !>[X0: $tType] : ( ( set(X0) * set(product_prod(X0,X0)) ) > $o ) ).

tff(pred_def_221,type,
    order_ofilter: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * set(X0) ) > $o ) ).

tff(pred_def_222,type,
    order_7125193373082350890der_on: 
      !>[X0: $tType] : ( ( set(X0) * set(product_prod(X0,X0)) ) > $o ) ).

tff(pred_def_223,type,
    order_preorder_on: 
      !>[X0: $tType] : ( ( set(X0) * set(product_prod(X0,X0)) ) > $o ) ).

tff(pred_def_224,type,
    order_well_order_on: 
      !>[X0: $tType] : ( ( set(X0) * set(product_prod(X0,X0)) ) > $o ) ).

tff(pred_def_225,type,
    order_antimono: 
      !>[X0: $tType,X1: $tType] : ( fun(X0,X1) > $o ) ).

tff(pred_def_226,type,
    order_strict_mono: 
      !>[X0: $tType,X1: $tType] : ( fun(X0,X1) > $o ) ).

tff(pred_def_227,type,
    ordering_top: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,$o)) * fun(X0,fun(X0,$o)) * X0 ) > $o ) ).

tff(pred_def_228,type,
    cauchy: fun(nat,rat) > $o ).

tff(pred_def_229,type,
    vanishes: fun(nat,rat) > $o ).

tff(pred_def_230,type,
    real_V2442710119149674383linear: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( fun(X0,fun(X1,X2)) > $o ) ).

tff(pred_def_231,type,
    real_V3181309239436604168linear: 
      !>[X0: $tType,X1: $tType] : ( fun(X0,X1) > $o ) ).

tff(pred_def_232,type,
    real_V358717886546972837endent: 
      !>[X0: $tType] : ( set(X0) > $o ) ).

tff(pred_def_233,type,
    antisym: 
      !>[X0: $tType] : ( set(product_prod(X0,X0)) > $o ) ).

tff(pred_def_234,type,
    antisymp: 
      !>[X0: $tType] : ( fun(X0,fun(X0,$o)) > $o ) ).

tff(pred_def_235,type,
    irrefl: 
      !>[X0: $tType] : ( set(product_prod(X0,X0)) > $o ) ).

tff(pred_def_236,type,
    irreflp: 
      !>[X0: $tType] : ( fun(X0,fun(X0,$o)) > $o ) ).

tff(pred_def_237,type,
    refl_on: 
      !>[X0: $tType] : ( ( set(X0) * set(product_prod(X0,X0)) ) > $o ) ).

tff(pred_def_238,type,
    single_valued: 
      !>[X0: $tType,X1: $tType] : ( set(product_prod(X0,X1)) > $o ) ).

tff(pred_def_239,type,
    single_valuedp: 
      !>[X0: $tType,X1: $tType] : ( fun(X0,fun(X1,$o)) > $o ) ).

tff(pred_def_240,type,
    total_on: 
      !>[X0: $tType] : ( ( set(X0) * set(product_prod(X0,X0)) ) > $o ) ).

tff(pred_def_241,type,
    trans: 
      !>[X0: $tType] : ( set(product_prod(X0,X0)) > $o ) ).

tff(pred_def_242,type,
    transp: 
      !>[X0: $tType] : ( fun(X0,fun(X0,$o)) > $o ) ).

tff(pred_def_243,type,
    algebr8660921524188924756oprime: 
      !>[X0: $tType] : ( ( X0 * X0 ) > $o ) ).

tff(pred_def_244,type,
    dvd_dvd: 
      !>[X0: $tType] : ( ( X0 * X0 ) > $o ) ).

tff(pred_def_245,type,
    summable: 
      !>[X0: $tType] : ( fun(nat,X0) > $o ) ).

tff(pred_def_246,type,
    sums: 
      !>[X0: $tType] : ( ( fun(nat,X0) * X0 ) > $o ) ).

tff(pred_def_247,type,
    is_empty: 
      !>[X0: $tType] : ( set(X0) > $o ) ).

tff(pred_def_248,type,
    is_singleton: 
      !>[X0: $tType] : ( set(X0) > $o ) ).

tff(pred_def_249,type,
    pairwise: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,$o)) * set(X0) ) > $o ) ).

tff(pred_def_250,type,
    topolo3448309680560233919inuous: 
      !>[X0: $tType,X1: $tType] : ( ( filter(X0) * fun(X0,X1) ) > $o ) ).

tff(pred_def_251,type,
    topological_monoseq: 
      !>[X0: $tType] : ( fun(nat,X0) > $o ) ).

tff(pred_def_252,type,
    topolo1002775350975398744n_open: 
      !>[X0: $tType] : ( set(X0) > $o ) ).

tff(pred_def_253,type,
    topolo7761053866217962861closed: 
      !>[X0: $tType] : ( set(X0) > $o ) ).

tff(pred_def_254,type,
    topolo2193935891317330818ompact: 
      !>[X0: $tType] : ( set(X0) > $o ) ).

tff(pred_def_255,type,
    topolo1966860045006549960nected: 
      !>[X0: $tType] : ( set(X0) > $o ) ).

tff(pred_def_256,type,
    topolo6863149650580417670ergent: 
      !>[X0: $tType] : ( fun(nat,X0) > $o ) ).

tff(pred_def_257,type,
    topolo3814608138187158403Cauchy: 
      !>[X0: $tType] : ( fun(nat,X0) > $o ) ).

tff(pred_def_258,type,
    topolo6688025880775521714ounded: 
      !>[X0: $tType] : ( set(X0) > $o ) ).

tff(pred_def_259,type,
    topolo6026614971017936543ous_on: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,X1) ) > $o ) ).

tff(pred_def_260,type,
    bi_total: 
      !>[X0: $tType,X1: $tType] : ( fun(X0,fun(X1,$o)) > $o ) ).

tff(pred_def_261,type,
    bi_unique: 
      !>[X0: $tType,X1: $tType] : ( fun(X0,fun(X1,$o)) > $o ) ).

tff(pred_def_262,type,
    transitive_acyclic: 
      !>[X0: $tType] : ( set(product_prod(X0,X0)) > $o ) ).

tff(pred_def_263,type,
    type_definition: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * fun(X1,X0) * set(X1) ) > $o ) ).

tff(pred_def_264,type,
    vEBT_V5917875025757280293ildren: ( nat * list(vEBT_VEBT) * nat ) > $o ).

tff(pred_def_265,type,
    vEBT_VEBT_membermima: ( vEBT_VEBT * nat ) > $o ).

tff(pred_def_266,type,
    vEBT_V5719532721284313246member: ( vEBT_VEBT * nat ) > $o ).

tff(pred_def_267,type,
    vEBT_VEBT_valid: ( vEBT_VEBT * nat ) > $o ).

tff(pred_def_268,type,
    vEBT_invar_vebt: ( vEBT_VEBT * nat ) > $o ).

tff(pred_def_269,type,
    vEBT_VEBT_minNull: vEBT_VEBT > $o ).

tff(pred_def_270,type,
    vEBT_VEBT_greater: ( option(nat) * option(nat) ) > $o ).

tff(pred_def_271,type,
    vEBT_VEBT_less: ( option(nat) * option(nat) ) > $o ).

tff(pred_def_272,type,
    vEBT_VEBT_lesseq: ( option(nat) * option(nat) ) > $o ).

tff(pred_def_273,type,
    vEBT_VEBT_max_in_set: ( set(nat) * nat ) > $o ).

tff(pred_def_274,type,
    vEBT_VEBT_min_in_set: ( set(nat) * nat ) > $o ).

tff(pred_def_275,type,
    vEBT_is_pred_in_set: ( set(nat) * nat * nat ) > $o ).

tff(pred_def_276,type,
    vEBT_is_succ_in_set: ( set(nat) * nat * nat ) > $o ).

tff(pred_def_277,type,
    accp: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,$o)) * X0 ) > $o ) ).

tff(pred_def_278,type,
    wf: 
      !>[X0: $tType] : ( set(product_prod(X0,X0)) > $o ) ).

tff(pred_def_279,type,
    member: 
      !>[X0: $tType] : ( ( X0 * set(X0) ) > $o ) ).

tff(pred_def_280,type,
    ':=': 
      !>[X0: $tType] : ( ( X0 * X0 ) > $o ) ).

tff(pred_def_281,type,
    sP246: 
      !>[X0: $tType] : ( ( X0 * X0 * X0 ) > $o ) ).

tff(pred_def_282,type,
    sP247: 
      !>[X0: $tType] : ( ( X0 * X0 * X0 ) > $o ) ).

tff(pred_def_283,type,
    sP411: ( vEBT_VEBT * list(vEBT_VEBT) ) > $o ).

tff(pred_def_284,type,
    sP412: ( nat * nat * nat * nat * nat * list(vEBT_VEBT) ) > $o ).

tff(pred_def_285,type,
    sP413: ( nat * list(vEBT_VEBT) ) > $o ).

tff(pred_def_286,type,
    sP414: ( nat * vEBT_VEBT ) > $o ).

tff(pred_def_287,type,
    sP422: ( vEBT_VEBT * list(vEBT_VEBT) ) > $o ).

tff(pred_def_288,type,
    sP423: ( nat * nat * nat * nat * nat * list(vEBT_VEBT) ) > $o ).

tff(pred_def_289,type,
    sP424: ( nat * list(vEBT_VEBT) ) > $o ).

tff(pred_def_290,type,
    sP425: ( nat * vEBT_VEBT ) > $o ).

tff(pred_def_291,type,
    sP431: ( vEBT_VEBT * list(vEBT_VEBT) * nat * nat * nat * nat * nat ) > $o ).

tff(pred_def_292,type,
    sP432: ( vEBT_VEBT * list(vEBT_VEBT) * nat * nat * nat * nat ) > $o ).

tff(pred_def_293,type,
    sP433: ( vEBT_VEBT * list(vEBT_VEBT) * nat * nat * nat * nat ) > $o ).

tff(pred_def_294,type,
    sP434: ( vEBT_VEBT * list(vEBT_VEBT) * nat * nat * nat * nat * nat ) > $o ).

tff(pred_def_295,type,
    sP435: ( vEBT_VEBT * list(vEBT_VEBT) * nat * nat * nat * nat ) > $o ).

tff(pred_def_296,type,
    sP436: ( vEBT_VEBT * list(vEBT_VEBT) * nat * nat * nat * nat ) > $o ).

tff(pred_def_297,type,
    sP437: ( vEBT_VEBT * list(vEBT_VEBT) * nat * nat * nat * nat ) > $o ).

tff(pred_def_298,type,
    sP438: ( vEBT_VEBT * list(vEBT_VEBT) * nat * nat * nat * nat ) > $o ).

tff(pred_def_299,type,
    sP439: ( vEBT_VEBT * list(vEBT_VEBT) * nat * nat * nat * nat ) > $o ).

tff(pred_def_300,type,
    sP440: ( vEBT_VEBT * list(vEBT_VEBT) * nat * nat * nat * nat ) > $o ).

tff(pred_def_301,type,
    sP441: ( vEBT_VEBT * list(vEBT_VEBT) * nat * nat * nat * nat ) > $o ).

tff(pred_def_302,type,
    sP447: ( nat * vEBT_VEBT * list(vEBT_VEBT) * nat * nat * nat * nat ) > $o ).

tff(pred_def_303,type,
    sP448: ( nat * vEBT_VEBT * list(vEBT_VEBT) * nat * nat * nat ) > $o ).

tff(pred_def_304,type,
    sP449: ( nat * vEBT_VEBT * list(vEBT_VEBT) * nat * nat * nat ) > $o ).

tff(pred_def_305,type,
    sP450: ( nat * vEBT_VEBT * list(vEBT_VEBT) * nat * nat * nat * nat ) > $o ).

tff(pred_def_306,type,
    sP451: ( nat * vEBT_VEBT * list(vEBT_VEBT) * nat * nat * nat ) > $o ).

tff(pred_def_307,type,
    sP452: ( nat * vEBT_VEBT * list(vEBT_VEBT) * nat * nat * nat * nat ) > $o ).

tff(pred_def_308,type,
    sP453: ( nat * vEBT_VEBT * list(vEBT_VEBT) * nat * nat * nat ) > $o ).

tff(pred_def_309,type,
    sP454: ( nat * vEBT_VEBT * list(vEBT_VEBT) * nat * nat * nat ) > $o ).

tff(pred_def_310,type,
    sP455: ( nat * vEBT_VEBT * list(vEBT_VEBT) * nat * nat * nat * nat ) > $o ).

tff(pred_def_311,type,
    sP456: ( nat * vEBT_VEBT * list(vEBT_VEBT) * nat * nat * nat ) > $o ).

tff(pred_def_312,type,
    sP457: ( nat * vEBT_VEBT * list(vEBT_VEBT) * nat * nat * nat ) > $o ).

tff(pred_def_313,type,
    sP458: ( nat * vEBT_VEBT * list(vEBT_VEBT) * nat * nat * nat ) > $o ).

tff(pred_def_314,type,
    sP459: ( nat * vEBT_VEBT * list(vEBT_VEBT) * nat * nat * nat ) > $o ).

tff(pred_def_315,type,
    sP460: ( nat * vEBT_VEBT * list(vEBT_VEBT) * nat * nat * nat ) > $o ).

tff(pred_def_316,type,
    sP461: ( nat * vEBT_VEBT * list(vEBT_VEBT) * nat * nat * nat ) > $o ).

tff(pred_def_317,type,
    sP462: ( nat * vEBT_VEBT * list(vEBT_VEBT) * nat * nat * nat ) > $o ).

tff(pred_def_318,type,
    sP463: ( nat * vEBT_VEBT * list(vEBT_VEBT) * nat * nat * nat ) > $o ).

tff(pred_def_319,type,
    sP464: ( nat * vEBT_VEBT * list(vEBT_VEBT) * nat * nat * nat ) > $o ).

tff(pred_def_320,type,
    sP465: ( nat * vEBT_VEBT * list(vEBT_VEBT) * nat * nat * nat ) > $o ).

tff(pred_def_321,type,
    sP466: ( nat * vEBT_VEBT * list(vEBT_VEBT) * nat * nat * nat ) > $o ).

tff(pred_def_322,type,
    sP467: ( nat * vEBT_VEBT * list(vEBT_VEBT) * nat * nat * nat ) > $o ).

tff(pred_def_323,type,
    sP468: ( nat * vEBT_VEBT * list(vEBT_VEBT) * nat * nat * nat ) > $o ).

tff(pred_def_324,type,
    sP481: ( list(vEBT_VEBT) * nat * nat ) > $o ).

tff(pred_def_325,type,
    sP482: ( list(vEBT_VEBT) * nat * nat ) > $o ).

tff(pred_def_326,type,
    sP530: ( nat * nat * nat ) > $o ).

tff(pred_def_327,type,
    sP531: ( nat * nat * nat ) > $o ).

tff(pred_def_328,type,
    sP532: ( nat * nat * nat ) > $o ).

tff(pred_def_329,type,
    sP533: ( nat * list(vEBT_VEBT) * nat * nat ) > $o ).

tff(pred_def_330,type,
    sP534: ( nat * nat ) > $o ).

tff(pred_def_331,type,
    sP535: ( nat * nat ) > $o ).

tff(pred_def_332,type,
    sK536: ( vEBT_VEBT * nat * option(nat) ) > $o ).

tff(pred_def_333,type,
    sK537: ( vEBT_VEBT * nat * option(nat) ) > $o ).

tff(pred_def_334,type,
    sK538: ( vEBT_VEBT * nat * option(nat) ) > $o ).

tff(pred_def_335,type,
    sP539: ( option(nat) * vEBT_VEBT ) > $o ).

tff(pred_def_336,type,
    sP540: ( option(nat) * nat * vEBT_VEBT ) > $o ).

tff(pred_def_337,type,
    sK541: vEBT_VEBT > $o ).

tff(pred_def_338,type,
    sK542: vEBT_VEBT > $o ).

tff(pred_def_339,type,
    sP543: ( $o * option(nat) * nat * vEBT_VEBT ) > $o ).

tff(pred_def_340,type,
    sP544: ( $o * $o * option(nat) * nat * vEBT_VEBT ) > $o ).

tff(pred_def_341,type,
    sP559: $o > $o ).

tff(pred_def_342,type,
    sP560: $o > $o ).

tff(pred_def_343,type,
    sK561: ( vEBT_VEBT * $o ) > $o ).

tff(pred_def_344,type,
    sP563: ( vEBT_VEBT * $o ) > $o ).

tff(pred_def_345,type,
    sP564: ( vEBT_VEBT * $o ) > $o ).

tff(pred_def_346,type,
    sP565: ( vEBT_VEBT * $o ) > $o ).

tff(pred_def_347,type,
    sP566: ( vEBT_VEBT * $o ) > $o ).

tff(pred_def_348,type,
    sP567: ( vEBT_VEBT * $o ) > $o ).

tff(pred_def_349,type,
    sP568: ( vEBT_VEBT * $o ) > $o ).

tff(pred_def_350,type,
    sP569: ( vEBT_VEBT * $o ) > $o ).

tff(pred_def_351,type,
    sP570: ( vEBT_VEBT * $o ) > $o ).

tff(pred_def_352,type,
    sP571: ( vEBT_VEBT * $o ) > $o ).

tff(pred_def_353,type,
    sP572: ( vEBT_VEBT * $o ) > $o ).

tff(pred_def_354,type,
    sP573: ( vEBT_VEBT * $o ) > $o ).

tff(pred_def_355,type,
    sP574: ( vEBT_VEBT * $o ) > $o ).

tff(pred_def_356,type,
    sP575: ( vEBT_VEBT * $o ) > $o ).

tff(pred_def_357,type,
    sP576: ( vEBT_VEBT * $o ) > $o ).

tff(pred_def_358,type,
    sP577: ( vEBT_VEBT * $o ) > $o ).

tff(pred_def_359,type,
    sP578: ( vEBT_VEBT * $o ) > $o ).

tff(pred_def_360,type,
    sP579: ( vEBT_VEBT * $o ) > $o ).

tff(pred_def_361,type,
    sP580: ( vEBT_VEBT * $o ) > $o ).

tff(pred_def_362,type,
    sP581: ( vEBT_VEBT * $o ) > $o ).

tff(pred_def_363,type,
    sP582: ( vEBT_VEBT * $o ) > $o ).

tff(pred_def_364,type,
    sP583: ( vEBT_VEBT * $o ) > $o ).

tff(pred_def_365,type,
    sP584: ( vEBT_VEBT * $o ) > $o ).

tff(pred_def_366,type,
    sP585: ( vEBT_VEBT * $o ) > $o ).

tff(pred_def_367,type,
    sP586: ( vEBT_VEBT * $o ) > $o ).

tff(pred_def_368,type,
    sP587: ( vEBT_VEBT * $o ) > $o ).

tff(pred_def_369,type,
    sP588: ( vEBT_VEBT * $o ) > $o ).

tff(pred_def_370,type,
    sP589: ( vEBT_VEBT * $o ) > $o ).

tff(pred_def_371,type,
    sP590: ( vEBT_VEBT * $o ) > $o ).

tff(pred_def_372,type,
    sP591: ( vEBT_VEBT * $o ) > $o ).

tff(pred_def_373,type,
    sP592: ( vEBT_VEBT * $o ) > $o ).

tff(pred_def_374,type,
    sP593: ( vEBT_VEBT * $o ) > $o ).

tff(pred_def_375,type,
    sP594: ( vEBT_VEBT * $o ) > $o ).

tff(pred_def_376,type,
    sK595: ( vEBT_VEBT * nat * option(nat) ) > $o ).

tff(pred_def_377,type,
    sK596: ( vEBT_VEBT * nat * option(nat) ) > $o ).

tff(pred_def_378,type,
    sP597: ( option(nat) * vEBT_VEBT ) > $o ).

tff(pred_def_379,type,
    sP598: ( option(nat) * nat * vEBT_VEBT ) > $o ).

tff(pred_def_380,type,
    sP599: ( $o * $o * option(nat) * nat * vEBT_VEBT ) > $o ).

tff(pred_def_381,type,
    sK600: vEBT_VEBT > $o ).

tff(pred_def_382,type,
    sK601: vEBT_VEBT > $o ).

tff(pred_def_383,type,
    sP617: $o > $o ).

tff(pred_def_384,type,
    sP618: $o > $o ).

tff(pred_def_385,type,
    sP619: ( vEBT_VEBT * $o ) > $o ).

tff(pred_def_386,type,
    sP620: ( vEBT_VEBT * $o ) > $o ).

tff(pred_def_387,type,
    sP621: ( vEBT_VEBT * $o ) > $o ).

tff(pred_def_388,type,
    sP622: ( vEBT_VEBT * $o ) > $o ).

tff(pred_def_389,type,
    sP623: ( vEBT_VEBT * $o ) > $o ).

tff(pred_def_390,type,
    sP624: ( vEBT_VEBT * $o ) > $o ).

tff(pred_def_391,type,
    sP625: ( vEBT_VEBT * $o ) > $o ).

tff(pred_def_392,type,
    sP626: ( vEBT_VEBT * $o ) > $o ).

tff(pred_def_393,type,
    sP627: ( vEBT_VEBT * $o ) > $o ).

tff(pred_def_394,type,
    sP628: ( vEBT_VEBT * $o ) > $o ).

tff(pred_def_395,type,
    sP629: ( vEBT_VEBT * $o ) > $o ).

tff(pred_def_396,type,
    sP630: ( vEBT_VEBT * $o ) > $o ).

tff(pred_def_397,type,
    sP631: ( vEBT_VEBT * $o ) > $o ).

tff(pred_def_398,type,
    sP632: ( vEBT_VEBT * $o ) > $o ).

tff(pred_def_399,type,
    sP633: ( vEBT_VEBT * $o ) > $o ).

tff(pred_def_400,type,
    sP634: ( vEBT_VEBT * $o ) > $o ).

tff(pred_def_401,type,
    sK635: ( vEBT_VEBT * nat * vEBT_VEBT ) > $o ).

tff(pred_def_402,type,
    sK636: ( vEBT_VEBT * nat * vEBT_VEBT ) > $o ).

tff(pred_def_403,type,
    sK637: ( vEBT_VEBT * nat * vEBT_VEBT ) > $o ).

tff(pred_def_404,type,
    sK638: ( vEBT_VEBT * nat * vEBT_VEBT ) > $o ).

tff(pred_def_405,type,
    sK639: ( vEBT_VEBT * nat * vEBT_VEBT ) > $o ).

tff(pred_def_406,type,
    sP656: ( $o * $o * vEBT_VEBT * nat * vEBT_VEBT ) > $o ).

tff(pred_def_407,type,
    sP657: ( vEBT_VEBT * list(vEBT_VEBT) * nat * vEBT_VEBT * vEBT_VEBT ) > $o ).

tff(pred_def_408,type,
    sP658: ( vEBT_VEBT * list(vEBT_VEBT) * nat * nat * vEBT_VEBT * vEBT_VEBT ) > $o ).

tff(pred_def_409,type,
    sP659: ( vEBT_VEBT * list(vEBT_VEBT) * nat * nat * vEBT_VEBT * vEBT_VEBT ) > $o ).

tff(pred_def_410,type,
    sP660: ( vEBT_VEBT * list(vEBT_VEBT) * nat * nat * nat * vEBT_VEBT * nat * vEBT_VEBT ) > $o ).

tff(pred_def_411,type,
    sK661: vEBT_VEBT > $o ).

tff(pred_def_412,type,
    sP662: $o > $o ).

tff(pred_def_413,type,
    sP663: $o > $o ).

tff(pred_def_414,type,
    sP664: $o > $o ).

tff(pred_def_415,type,
    sP666: $o > $o ).

tff(pred_def_416,type,
    sP667: $o > $o ).

tff(pred_def_417,type,
    sP668: ( vEBT_VEBT * list(vEBT_VEBT) * nat * nat * nat * nat * nat ) > $o ).

tff(pred_def_418,type,
    sP669: ( vEBT_VEBT * list(vEBT_VEBT) * nat * nat * nat * nat ) > $o ).

tff(pred_def_419,type,
    sP670: ( vEBT_VEBT * list(vEBT_VEBT) * nat * nat * nat * nat ) > $o ).

tff(pred_def_420,type,
    sP671: ( vEBT_VEBT * list(vEBT_VEBT) * nat * nat * nat * nat * nat ) > $o ).

tff(pred_def_421,type,
    sP672: ( vEBT_VEBT * list(vEBT_VEBT) * nat * nat * nat * nat ) > $o ).

tff(pred_def_422,type,
    sP673: ( vEBT_VEBT * list(vEBT_VEBT) * nat * nat * nat * nat * nat ) > $o ).

tff(pred_def_423,type,
    sP674: ( vEBT_VEBT * list(vEBT_VEBT) * nat * nat * nat * nat ) > $o ).

tff(pred_def_424,type,
    sP675: ( vEBT_VEBT * list(vEBT_VEBT) * nat * nat * nat * nat ) > $o ).

tff(pred_def_425,type,
    sP676: ( vEBT_VEBT * list(vEBT_VEBT) * nat * nat * nat * nat * nat ) > $o ).

tff(pred_def_426,type,
    sP677: ( vEBT_VEBT * list(vEBT_VEBT) * nat * nat * nat * nat ) > $o ).

tff(pred_def_427,type,
    sP678: ( vEBT_VEBT * list(vEBT_VEBT) * nat * nat * nat * nat ) > $o ).

tff(pred_def_428,type,
    sP679: ( vEBT_VEBT * list(vEBT_VEBT) * nat * nat * nat * nat ) > $o ).

tff(pred_def_429,type,
    sP680: ( vEBT_VEBT * list(vEBT_VEBT) * nat * nat * nat * nat ) > $o ).

tff(pred_def_430,type,
    sP681: ( vEBT_VEBT * list(vEBT_VEBT) * nat * nat * nat * nat ) > $o ).

tff(pred_def_431,type,
    sP682: ( vEBT_VEBT * list(vEBT_VEBT) * nat * nat * nat * nat ) > $o ).

tff(pred_def_432,type,
    sP683: ( vEBT_VEBT * list(vEBT_VEBT) * nat * nat * nat * nat ) > $o ).

tff(pred_def_433,type,
    sP684: ( vEBT_VEBT * list(vEBT_VEBT) * nat * nat * nat * nat ) > $o ).

tff(pred_def_434,type,
    sP685: ( vEBT_VEBT * list(vEBT_VEBT) * nat * nat * nat * nat ) > $o ).

tff(pred_def_435,type,
    sP686: ( vEBT_VEBT * list(vEBT_VEBT) * nat * nat * nat * nat ) > $o ).

tff(pred_def_436,type,
    sP687: ( vEBT_VEBT * list(vEBT_VEBT) * nat * nat * nat * nat ) > $o ).

tff(pred_def_437,type,
    sP688: ( vEBT_VEBT * list(vEBT_VEBT) * nat * nat * nat * nat ) > $o ).

tff(pred_def_438,type,
    sP689: ( vEBT_VEBT * list(vEBT_VEBT) * nat * nat * nat * nat ) > $o ).

tff(pred_def_439,type,
    sP690: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_440,type,
    sP691: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_441,type,
    sP692: ( vEBT_VEBT * $o ) > $o ).

tff(pred_def_442,type,
    sP693: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_443,type,
    sP694: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_444,type,
    sP695: ( vEBT_VEBT * $o ) > $o ).

tff(pred_def_445,type,
    sP696: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_446,type,
    sP697: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_447,type,
    sP698: ( vEBT_VEBT * $o ) > $o ).

tff(pred_def_448,type,
    sP699: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_449,type,
    sP700: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_450,type,
    sP701: ( vEBT_VEBT * $o ) > $o ).

tff(pred_def_451,type,
    sP702: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_452,type,
    sP703: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_453,type,
    sP704: ( vEBT_VEBT * $o ) > $o ).

tff(pred_def_454,type,
    sP705: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_455,type,
    sP706: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_456,type,
    sP707: ( vEBT_VEBT * $o ) > $o ).

tff(pred_def_457,type,
    sP708: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_458,type,
    sP709: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_459,type,
    sP710: ( vEBT_VEBT * $o ) > $o ).

tff(pred_def_460,type,
    sP711: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_461,type,
    sP712: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_462,type,
    sP713: ( vEBT_VEBT * $o ) > $o ).

tff(pred_def_463,type,
    sP714: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_464,type,
    sP715: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_465,type,
    sP716: ( vEBT_VEBT * $o ) > $o ).

tff(pred_def_466,type,
    sP717: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_467,type,
    sP718: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_468,type,
    sP719: ( vEBT_VEBT * $o ) > $o ).

tff(pred_def_469,type,
    sP720: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_470,type,
    sP721: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_471,type,
    sP722: ( vEBT_VEBT * $o ) > $o ).

tff(pred_def_472,type,
    sP723: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_473,type,
    sP724: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_474,type,
    sP725: ( vEBT_VEBT * $o ) > $o ).

tff(pred_def_475,type,
    sP726: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_476,type,
    sP727: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_477,type,
    sP728: ( vEBT_VEBT * $o ) > $o ).

tff(pred_def_478,type,
    sP729: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_479,type,
    sP730: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_480,type,
    sP731: ( vEBT_VEBT * $o ) > $o ).

tff(pred_def_481,type,
    sP732: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_482,type,
    sP733: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_483,type,
    sP734: ( vEBT_VEBT * $o ) > $o ).

tff(pred_def_484,type,
    sP735: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_485,type,
    sP736: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_486,type,
    sP737: ( vEBT_VEBT * $o ) > $o ).

tff(pred_def_487,type,
    sP738: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_488,type,
    sP739: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_489,type,
    sP740: ( vEBT_VEBT * $o ) > $o ).

tff(pred_def_490,type,
    sP741: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_491,type,
    sP742: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_492,type,
    sP743: ( vEBT_VEBT * $o ) > $o ).

tff(pred_def_493,type,
    sP744: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_494,type,
    sP745: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_495,type,
    sP746: ( vEBT_VEBT * $o ) > $o ).

tff(pred_def_496,type,
    sP747: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_497,type,
    sP748: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_498,type,
    sP749: ( vEBT_VEBT * $o ) > $o ).

tff(pred_def_499,type,
    sP750: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_500,type,
    sP751: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_501,type,
    sP752: ( vEBT_VEBT * $o ) > $o ).

tff(pred_def_502,type,
    sP753: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_503,type,
    sP754: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_504,type,
    sP755: ( vEBT_VEBT * $o ) > $o ).

tff(pred_def_505,type,
    sP756: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_506,type,
    sP757: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_507,type,
    sP758: ( vEBT_VEBT * $o ) > $o ).

tff(pred_def_508,type,
    sP759: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_509,type,
    sP760: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_510,type,
    sP761: ( vEBT_VEBT * $o ) > $o ).

tff(pred_def_511,type,
    sP762: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_512,type,
    sP763: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_513,type,
    sP764: ( vEBT_VEBT * $o ) > $o ).

tff(pred_def_514,type,
    sP765: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_515,type,
    sP766: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_516,type,
    sP767: ( vEBT_VEBT * $o ) > $o ).

tff(pred_def_517,type,
    sP768: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_518,type,
    sP769: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_519,type,
    sP770: ( vEBT_VEBT * $o ) > $o ).

tff(pred_def_520,type,
    sP771: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_521,type,
    sP772: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_522,type,
    sP773: ( vEBT_VEBT * $o ) > $o ).

tff(pred_def_523,type,
    sP774: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_524,type,
    sP775: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_525,type,
    sP776: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_526,type,
    sP777: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_527,type,
    sP778: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_528,type,
    sP779: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_529,type,
    sP780: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_530,type,
    sP781: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_531,type,
    sP782: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_532,type,
    sP783: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_533,type,
    sP784: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_534,type,
    sP785: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_535,type,
    sP786: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_536,type,
    sP787: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_537,type,
    sP788: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_538,type,
    sP789: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_539,type,
    sP790: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_540,type,
    sP791: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_541,type,
    sP792: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_542,type,
    sP793: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_543,type,
    sP794: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_544,type,
    sP795: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_545,type,
    sP796: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_546,type,
    sP797: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_547,type,
    sP798: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_548,type,
    sP799: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_549,type,
    sP800: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_550,type,
    sP801: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_551,type,
    sP802: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_552,type,
    sP803: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_553,type,
    sP804: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_554,type,
    sP805: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_555,type,
    sP806: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_556,type,
    sP807: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_557,type,
    sP808: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_558,type,
    sP809: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_559,type,
    sP810: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_560,type,
    sP811: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_561,type,
    sP812: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_562,type,
    sP813: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_563,type,
    sP814: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_564,type,
    sP815: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_565,type,
    sK816: vEBT_VEBT > $o ).

tff(pred_def_566,type,
    sK817: vEBT_VEBT > $o ).

tff(pred_def_567,type,
    sK818: vEBT_VEBT > $o ).

tff(pred_def_568,type,
    sK819: vEBT_VEBT > $o ).

tff(pred_def_569,type,
    sK820: vEBT_VEBT > $o ).

tff(pred_def_570,type,
    sK821: vEBT_VEBT > $o ).

tff(pred_def_571,type,
    sP822: ( $o * $o ) > $o ).

tff(pred_def_572,type,
    sP823: ( $o * $o * $o * $o ) > $o ).

tff(pred_def_573,type,
    sP824: $o > $o ).

tff(pred_def_574,type,
    sP825: $o > $o ).

tff(pred_def_575,type,
    sP826: $o > $o ).

tff(pred_def_576,type,
    sK831: vEBT_VEBT > $o ).

tff(pred_def_577,type,
    sK832: vEBT_VEBT > $o ).

tff(pred_def_578,type,
    sK833: product_prod(vEBT_VEBT,nat) > $o ).

tff(pred_def_579,type,
    sK834: product_prod(vEBT_VEBT,nat) > $o ).

tff(pred_def_580,type,
    sP841: ( $o * $o ) > $o ).

tff(pred_def_581,type,
    sP842: ( $o * $o ) > $o ).

tff(pred_def_582,type,
    sK843: product_prod(vEBT_VEBT,nat) > $o ).

tff(pred_def_583,type,
    sK844: product_prod(vEBT_VEBT,nat) > $o ).

tff(pred_def_584,type,
    sK855: vEBT_VEBT > $o ).

tff(pred_def_585,type,
    sK856: vEBT_VEBT > $o ).

tff(pred_def_586,type,
    sP864: $o > $o ).

tff(pred_def_587,type,
    sP865: $o > $o ).

tff(pred_def_588,type,
    sK866: vEBT_VEBT > $o ).

tff(pred_def_589,type,
    sK867: vEBT_VEBT > $o ).

tff(pred_def_590,type,
    sP872: $o > $o ).

tff(pred_def_591,type,
    sP873: $o > $o ).

tff(pred_def_592,type,
    sK879: vEBT_VEBT > $o ).

tff(pred_def_593,type,
    sK880: vEBT_VEBT > $o ).

tff(pred_def_594,type,
    sP889: ( $o * vEBT_VEBT ) > $o ).

tff(pred_def_595,type,
    sP890: ( $o * vEBT_VEBT ) > $o ).

tff(pred_def_596,type,
    sP891: $o > $o ).

tff(pred_def_597,type,
    sK892: vEBT_VEBT > $o ).

tff(pred_def_598,type,
    sK893: vEBT_VEBT > $o ).

tff(pred_def_599,type,
    sP894: ( $o * vEBT_VEBT ) > $o ).

tff(pred_def_600,type,
    sP902: $o > $o ).

tff(pred_def_601,type,
    sK905: product_prod(vEBT_VEBT,nat) > $o ).

tff(pred_def_602,type,
    sK906: product_prod(vEBT_VEBT,nat) > $o ).

tff(pred_def_603,type,
    sK907: product_prod(vEBT_VEBT,nat) > $o ).

tff(pred_def_604,type,
    sK908: product_prod(vEBT_VEBT,nat) > $o ).

tff(pred_def_605,type,
    sK909: product_prod(vEBT_VEBT,nat) > $o ).

tff(pred_def_606,type,
    sK910: product_prod(vEBT_VEBT,nat) > $o ).

tff(pred_def_607,type,
    sP930: ( nat * $o * $o * product_prod(vEBT_VEBT,nat) ) > $o ).

tff(pred_def_608,type,
    sP931: $o > $o ).

tff(pred_def_609,type,
    sP932: $o > $o ).

tff(pred_def_610,type,
    sP933: $o > $o ).

tff(pred_def_611,type,
    sP934: $o > $o ).

tff(pred_def_612,type,
    sP935: ( product_prod(vEBT_VEBT,nat) * $o ) > $o ).

tff(pred_def_613,type,
    sP936: ( product_prod(vEBT_VEBT,nat) * $o ) > $o ).

tff(pred_def_614,type,
    sP937: ( product_prod(vEBT_VEBT,nat) * $o ) > $o ).

tff(pred_def_615,type,
    sP938: ( product_prod(vEBT_VEBT,nat) * $o ) > $o ).

tff(pred_def_616,type,
    sP939: ( product_prod(vEBT_VEBT,nat) * $o ) > $o ).

tff(pred_def_617,type,
    sP940: ( product_prod(vEBT_VEBT,nat) * $o ) > $o ).

tff(pred_def_618,type,
    sP941: ( product_prod(vEBT_VEBT,nat) * $o ) > $o ).

tff(pred_def_619,type,
    sP942: ( product_prod(vEBT_VEBT,nat) * $o ) > $o ).

tff(pred_def_620,type,
    sP943: ( product_prod(vEBT_VEBT,nat) * $o ) > $o ).

tff(pred_def_621,type,
    sP944: ( product_prod(vEBT_VEBT,nat) * $o ) > $o ).

tff(pred_def_622,type,
    sP945: ( product_prod(vEBT_VEBT,nat) * $o ) > $o ).

tff(pred_def_623,type,
    sP946: ( product_prod(vEBT_VEBT,nat) * $o ) > $o ).

tff(pred_def_624,type,
    sP947: ( product_prod(vEBT_VEBT,nat) * $o ) > $o ).

tff(pred_def_625,type,
    sP948: ( product_prod(vEBT_VEBT,nat) * $o ) > $o ).

tff(pred_def_626,type,
    sP949: ( product_prod(vEBT_VEBT,nat) * $o ) > $o ).

tff(pred_def_627,type,
    sP950: ( product_prod(vEBT_VEBT,nat) * $o ) > $o ).

tff(pred_def_628,type,
    sP951: ( product_prod(vEBT_VEBT,nat) * $o ) > $o ).

tff(pred_def_629,type,
    sP952: ( product_prod(vEBT_VEBT,nat) * $o ) > $o ).

tff(pred_def_630,type,
    sP953: ( product_prod(vEBT_VEBT,nat) * $o ) > $o ).

tff(pred_def_631,type,
    sP954: ( product_prod(vEBT_VEBT,nat) * $o ) > $o ).

tff(pred_def_632,type,
    sP955: ( product_prod(vEBT_VEBT,nat) * $o ) > $o ).

tff(pred_def_633,type,
    sP956: ( product_prod(vEBT_VEBT,nat) * $o ) > $o ).

tff(pred_def_634,type,
    sP957: ( product_prod(vEBT_VEBT,nat) * $o ) > $o ).

tff(pred_def_635,type,
    sP958: ( product_prod(vEBT_VEBT,nat) * $o ) > $o ).

tff(pred_def_636,type,
    sP959: ( product_prod(vEBT_VEBT,nat) * $o ) > $o ).

tff(pred_def_637,type,
    sP960: ( product_prod(vEBT_VEBT,nat) * $o ) > $o ).

tff(pred_def_638,type,
    sP961: ( product_prod(vEBT_VEBT,nat) * $o ) > $o ).

tff(pred_def_639,type,
    sP962: ( product_prod(vEBT_VEBT,nat) * $o ) > $o ).

tff(pred_def_640,type,
    sP963: ( product_prod(vEBT_VEBT,nat) * $o ) > $o ).

tff(pred_def_641,type,
    sP964: ( product_prod(vEBT_VEBT,nat) * $o ) > $o ).

tff(pred_def_642,type,
    sP965: ( product_prod(vEBT_VEBT,nat) * $o ) > $o ).

tff(pred_def_643,type,
    sP966: ( product_prod(vEBT_VEBT,nat) * $o ) > $o ).

tff(pred_def_644,type,
    sP967: ( product_prod(vEBT_VEBT,nat) * $o ) > $o ).

tff(pred_def_645,type,
    sP968: ( product_prod(vEBT_VEBT,nat) * $o ) > $o ).

tff(pred_def_646,type,
    sP969: ( product_prod(vEBT_VEBT,nat) * $o ) > $o ).

tff(pred_def_647,type,
    sP970: ( product_prod(vEBT_VEBT,nat) * $o ) > $o ).

tff(pred_def_648,type,
    sP971: ( product_prod(vEBT_VEBT,nat) * $o ) > $o ).

tff(pred_def_649,type,
    sP972: ( product_prod(vEBT_VEBT,nat) * $o ) > $o ).

tff(pred_def_650,type,
    sP973: ( product_prod(vEBT_VEBT,nat) * $o ) > $o ).

tff(pred_def_651,type,
    sP974: ( product_prod(vEBT_VEBT,nat) * $o ) > $o ).

tff(pred_def_652,type,
    sP975: ( product_prod(vEBT_VEBT,nat) * $o ) > $o ).

tff(pred_def_653,type,
    sP976: ( product_prod(vEBT_VEBT,nat) * $o ) > $o ).

tff(pred_def_654,type,
    sP977: ( product_prod(vEBT_VEBT,nat) * $o ) > $o ).

tff(pred_def_655,type,
    sP978: ( product_prod(vEBT_VEBT,nat) * $o ) > $o ).

tff(pred_def_656,type,
    sP979: ( product_prod(vEBT_VEBT,nat) * $o ) > $o ).

tff(pred_def_657,type,
    sP980: ( product_prod(vEBT_VEBT,nat) * $o ) > $o ).

tff(pred_def_658,type,
    sP981: ( product_prod(vEBT_VEBT,nat) * $o ) > $o ).

tff(pred_def_659,type,
    sP982: ( product_prod(vEBT_VEBT,nat) * $o ) > $o ).

tff(pred_def_660,type,
    sK983: product_prod(vEBT_VEBT,nat) > $o ).

tff(pred_def_661,type,
    sK984: product_prod(vEBT_VEBT,nat) > $o ).

tff(pred_def_662,type,
    sK985: product_prod(vEBT_VEBT,nat) > $o ).

tff(pred_def_663,type,
    sK986: product_prod(vEBT_VEBT,nat) > $o ).

tff(pred_def_664,type,
    sP1006: $o > $o ).

tff(pred_def_665,type,
    sP1007: $o > $o ).

tff(pred_def_666,type,
    sP1008: $o > $o ).

tff(pred_def_667,type,
    sP1009: $o > $o ).

tff(pred_def_668,type,
    sP1010: ( product_prod(vEBT_VEBT,nat) * $o ) > $o ).

tff(pred_def_669,type,
    sP1011: ( product_prod(vEBT_VEBT,nat) * $o ) > $o ).

tff(pred_def_670,type,
    sP1012: ( product_prod(vEBT_VEBT,nat) * $o ) > $o ).

tff(pred_def_671,type,
    sP1013: ( product_prod(vEBT_VEBT,nat) * $o ) > $o ).

tff(pred_def_672,type,
    sP1014: ( product_prod(vEBT_VEBT,nat) * $o ) > $o ).

tff(pred_def_673,type,
    sP1015: ( product_prod(vEBT_VEBT,nat) * $o ) > $o ).

tff(pred_def_674,type,
    sP1016: ( product_prod(vEBT_VEBT,nat) * $o ) > $o ).

tff(pred_def_675,type,
    sP1017: ( product_prod(vEBT_VEBT,nat) * $o ) > $o ).

tff(pred_def_676,type,
    sP1018: ( product_prod(vEBT_VEBT,nat) * $o ) > $o ).

tff(pred_def_677,type,
    sP1019: ( product_prod(vEBT_VEBT,nat) * $o ) > $o ).

tff(pred_def_678,type,
    sP1020: ( product_prod(vEBT_VEBT,nat) * $o ) > $o ).

tff(pred_def_679,type,
    sP1021: ( product_prod(vEBT_VEBT,nat) * $o ) > $o ).

tff(pred_def_680,type,
    sP1022: ( product_prod(vEBT_VEBT,nat) * $o ) > $o ).

tff(pred_def_681,type,
    sP1023: ( product_prod(vEBT_VEBT,nat) * $o ) > $o ).

tff(pred_def_682,type,
    sP1024: ( product_prod(vEBT_VEBT,nat) * $o ) > $o ).

tff(pred_def_683,type,
    sP1025: ( product_prod(vEBT_VEBT,nat) * $o ) > $o ).

tff(pred_def_684,type,
    sK1026: product_prod(vEBT_VEBT,nat) > $o ).

tff(pred_def_685,type,
    sK1027: product_prod(vEBT_VEBT,nat) > $o ).

tff(pred_def_686,type,
    sK1047: product_prod(vEBT_VEBT,nat) > $o ).

tff(pred_def_687,type,
    sK1048: product_prod(vEBT_VEBT,nat) > $o ).

tff(pred_def_688,type,
    sK1068: product_prod(vEBT_VEBT,nat) > $o ).

tff(pred_def_689,type,
    sK1069: product_prod(vEBT_VEBT,nat) > $o ).

tff(pred_def_690,type,
    sK1070: product_prod(vEBT_VEBT,nat) > $o ).

tff(pred_def_691,type,
    sK1071: product_prod(vEBT_VEBT,nat) > $o ).

tff(pred_def_692,type,
    sK1072: product_prod(vEBT_VEBT,nat) > $o ).

tff(pred_def_693,type,
    sK1073: product_prod(vEBT_VEBT,nat) > $o ).

tff(pred_def_694,type,
    sP1095: ( nat * $o * $o * product_prod(vEBT_VEBT,nat) ) > $o ).

tff(pred_def_695,type,
    sP1096: $o > $o ).

tff(pred_def_696,type,
    sP1097: $o > $o ).

tff(pred_def_697,type,
    sP1098: $o > $o ).

tff(pred_def_698,type,
    sP1099: $o > $o ).

tff(pred_def_699,type,
    sP1100: ( product_prod(vEBT_VEBT,nat) * $o ) > $o ).

tff(pred_def_700,type,
    sP1101: ( product_prod(vEBT_VEBT,nat) * $o ) > $o ).

tff(pred_def_701,type,
    sP1102: ( product_prod(vEBT_VEBT,nat) * $o ) > $o ).

tff(pred_def_702,type,
    sP1103: ( product_prod(vEBT_VEBT,nat) * $o ) > $o ).

tff(pred_def_703,type,
    sP1104: ( product_prod(vEBT_VEBT,nat) * $o ) > $o ).

tff(pred_def_704,type,
    sP1105: ( product_prod(vEBT_VEBT,nat) * $o ) > $o ).

tff(pred_def_705,type,
    sP1106: ( product_prod(vEBT_VEBT,nat) * $o ) > $o ).

tff(pred_def_706,type,
    sP1107: ( product_prod(vEBT_VEBT,nat) * $o ) > $o ).

tff(pred_def_707,type,
    sP1108: ( product_prod(vEBT_VEBT,nat) * $o ) > $o ).

tff(pred_def_708,type,
    sP1109: ( product_prod(vEBT_VEBT,nat) * $o ) > $o ).

tff(pred_def_709,type,
    sP1110: ( product_prod(vEBT_VEBT,nat) * $o ) > $o ).

tff(pred_def_710,type,
    sP1111: ( product_prod(vEBT_VEBT,nat) * $o ) > $o ).

tff(pred_def_711,type,
    sP1112: ( product_prod(vEBT_VEBT,nat) * $o ) > $o ).

tff(pred_def_712,type,
    sP1113: ( product_prod(vEBT_VEBT,nat) * $o ) > $o ).

tff(pred_def_713,type,
    sP1114: ( product_prod(vEBT_VEBT,nat) * $o ) > $o ).

tff(pred_def_714,type,
    sP1115: ( product_prod(vEBT_VEBT,nat) * $o ) > $o ).

tff(pred_def_715,type,
    sP1116: ( product_prod(vEBT_VEBT,nat) * $o ) > $o ).

tff(pred_def_716,type,
    sP1117: ( product_prod(vEBT_VEBT,nat) * $o ) > $o ).

tff(pred_def_717,type,
    sP1118: ( product_prod(vEBT_VEBT,nat) * $o ) > $o ).

tff(pred_def_718,type,
    sP1119: ( product_prod(vEBT_VEBT,nat) * $o ) > $o ).

tff(pred_def_719,type,
    sP1120: ( product_prod(vEBT_VEBT,nat) * $o ) > $o ).

tff(pred_def_720,type,
    sP1121: ( product_prod(vEBT_VEBT,nat) * $o ) > $o ).

tff(pred_def_721,type,
    sP1122: ( product_prod(vEBT_VEBT,nat) * $o ) > $o ).

tff(pred_def_722,type,
    sP1123: ( product_prod(vEBT_VEBT,nat) * $o ) > $o ).

tff(pred_def_723,type,
    sP1124: ( product_prod(vEBT_VEBT,nat) * $o ) > $o ).

tff(pred_def_724,type,
    sP1125: ( product_prod(vEBT_VEBT,nat) * $o ) > $o ).

tff(pred_def_725,type,
    sP1126: ( product_prod(vEBT_VEBT,nat) * $o ) > $o ).

tff(pred_def_726,type,
    sP1127: ( product_prod(vEBT_VEBT,nat) * $o ) > $o ).

tff(pred_def_727,type,
    sP1128: ( product_prod(vEBT_VEBT,nat) * $o ) > $o ).

tff(pred_def_728,type,
    sP1129: ( product_prod(vEBT_VEBT,nat) * $o ) > $o ).

tff(pred_def_729,type,
    sP1130: ( product_prod(vEBT_VEBT,nat) * $o ) > $o ).

tff(pred_def_730,type,
    sP1131: ( product_prod(vEBT_VEBT,nat) * $o ) > $o ).

tff(pred_def_731,type,
    sP1132: ( product_prod(vEBT_VEBT,nat) * $o ) > $o ).

tff(pred_def_732,type,
    sP1133: ( product_prod(vEBT_VEBT,nat) * $o ) > $o ).

tff(pred_def_733,type,
    sP1134: ( product_prod(vEBT_VEBT,nat) * $o ) > $o ).

tff(pred_def_734,type,
    sP1135: ( product_prod(vEBT_VEBT,nat) * $o ) > $o ).

tff(pred_def_735,type,
    sP1136: ( product_prod(vEBT_VEBT,nat) * $o ) > $o ).

tff(pred_def_736,type,
    sP1137: ( product_prod(vEBT_VEBT,nat) * $o ) > $o ).

tff(pred_def_737,type,
    sP1138: ( product_prod(vEBT_VEBT,nat) * $o ) > $o ).

tff(pred_def_738,type,
    sP1139: ( product_prod(vEBT_VEBT,nat) * $o ) > $o ).

tff(pred_def_739,type,
    sP1140: ( product_prod(vEBT_VEBT,nat) * $o ) > $o ).

tff(pred_def_740,type,
    sP1141: ( product_prod(vEBT_VEBT,nat) * $o ) > $o ).

tff(pred_def_741,type,
    sP1142: ( product_prod(vEBT_VEBT,nat) * $o ) > $o ).

tff(pred_def_742,type,
    sP1143: ( product_prod(vEBT_VEBT,nat) * $o ) > $o ).

tff(pred_def_743,type,
    sP1144: ( product_prod(vEBT_VEBT,nat) * $o ) > $o ).

tff(pred_def_744,type,
    sP1145: ( product_prod(vEBT_VEBT,nat) * $o ) > $o ).

tff(pred_def_745,type,
    sP1146: ( product_prod(vEBT_VEBT,nat) * $o ) > $o ).

tff(pred_def_746,type,
    sP1147: ( product_prod(vEBT_VEBT,nat) * $o ) > $o ).

tff(pred_def_747,type,
    sK1148: product_prod(vEBT_VEBT,nat) > $o ).

tff(pred_def_748,type,
    sK1149: product_prod(vEBT_VEBT,nat) > $o ).

tff(pred_def_749,type,
    sK1169: ( vEBT_VEBT * nat * vEBT_VEBT ) > $o ).

tff(pred_def_750,type,
    sK1170: ( vEBT_VEBT * nat * vEBT_VEBT ) > $o ).

tff(pred_def_751,type,
    sP1175: $o > $o ).

tff(pred_def_752,type,
    sP1176: $o > $o ).

tff(pred_def_753,type,
    sP1177: $o > $o ).

tff(pred_def_754,type,
    sP1178: $o > $o ).

tff(pred_def_755,type,
    sP1179: ( nat * nat ) > $o ).

tff(pred_def_756,type,
    sK1180: ( vEBT_VEBT * option(nat) ) > $o ).

tff(pred_def_757,type,
    sK1181: ( vEBT_VEBT * option(nat) ) > $o ).

tff(pred_def_758,type,
    sP1186: ( nat * vEBT_VEBT ) > $o ).

tff(pred_def_759,type,
    sP1187: $o > $o ).

tff(pred_def_760,type,
    sP1188: $o > $o ).

tff(pred_def_761,type,
    sK1193: ( vEBT_VEBT * option(nat) ) > $o ).

tff(pred_def_762,type,
    sK1194: ( vEBT_VEBT * option(nat) ) > $o ).

tff(pred_def_763,type,
    sP1200: ( nat * nat * vEBT_VEBT ) > $o ).

tff(pred_def_764,type,
    sP1201: $o > $o ).

tff(pred_def_765,type,
    sP1202: $o > $o ).

tff(pred_def_766,type,
    sK1207: ( vEBT_VEBT * nat ) > $o ).

tff(pred_def_767,type,
    sK1208: ( vEBT_VEBT * nat ) > $o ).

tff(pred_def_768,type,
    sP1216: ( list(vEBT_VEBT) * nat * nat ) > $o ).

tff(pred_def_769,type,
    sK1217: ( vEBT_VEBT * nat ) > $o ).

tff(pred_def_770,type,
    sK1218: ( vEBT_VEBT * nat ) > $o ).

tff(pred_def_771,type,
    sP1223: ( list(vEBT_VEBT) * nat * nat ) > $o ).

tff(pred_def_772,type,
    sK1224: ( vEBT_VEBT * nat * $o ) > $o ).

tff(pred_def_773,type,
    sK1225: ( vEBT_VEBT * nat * $o ) > $o ).

tff(pred_def_774,type,
    sP1232: ( list(vEBT_VEBT) * nat * option(product_prod(nat,nat)) * vEBT_VEBT ) > $o ).

tff(pred_def_775,type,
    sP1233: ( list(vEBT_VEBT) * nat * $o * nat ) > $o ).

tff(pred_def_776,type,
    sP1234: $o > $o ).

tff(pred_def_777,type,
    sP1235: $o > $o ).

tff(pred_def_778,type,
    sP1236: $o > $o ).

tff(pred_def_779,type,
    sP1237: ( $o * $o * nat ) > $o ).

tff(pred_def_780,type,
    sK1239: ( vEBT_VEBT * nat ) > $o ).

tff(pred_def_781,type,
    sK1240: ( vEBT_VEBT * nat ) > $o ).

tff(pred_def_782,type,
    sP1246: $o > $o ).

tff(pred_def_783,type,
    sP1247: $o > $o ).

tff(pred_def_784,type,
    sP1248: ( nat * nat ) > $o ).

tff(pred_def_785,type,
    sP1249: ( nat * nat ) > $o ).

tff(pred_def_786,type,
    sP1250: ( list(vEBT_VEBT) * nat * nat ) > $o ).

tff(pred_def_787,type,
    sK1259: vEBT_VEBT > $o ).

tff(pred_def_788,type,
    sK1260: vEBT_VEBT > $o ).

tff(pred_def_789,type,
    sP1263: ( list(vEBT_VEBT) * nat * nat * nat * $o * nat * vEBT_VEBT ) > $o ).

tff(pred_def_790,type,
    sP1264: ( list(vEBT_VEBT) * nat * $o * nat * vEBT_VEBT ) > $o ).

tff(pred_def_791,type,
    sP1265: ( nat * nat * vEBT_VEBT ) > $o ).

tff(pred_def_792,type,
    sP1266: ( nat * nat * $o * nat ) > $o ).

tff(pred_def_793,type,
    sP1267: $o > $o ).

tff(pred_def_794,type,
    sP1268: $o > $o ).

tff(pred_def_795,type,
    sK1273: vEBT_VEBT > $o ).

tff(pred_def_796,type,
    sK1274: vEBT_VEBT > $o ).

tff(pred_def_797,type,
    sP1285: ( list(vEBT_VEBT) * nat * nat * nat * nat * vEBT_VEBT ) > $o ).

tff(pred_def_798,type,
    sP1286: ( list(vEBT_VEBT) * nat * nat * vEBT_VEBT ) > $o ).

tff(pred_def_799,type,
    sP1287: $o > $o ).

tff(pred_def_800,type,
    sP1288: $o > $o ).

tff(pred_def_801,type,
    sK1294: ( vEBT_VEBT * nat * $o ) > $o ).

tff(pred_def_802,type,
    sK1295: ( vEBT_VEBT * nat * $o ) > $o ).

tff(pred_def_803,type,
    sP1296: ( $o * nat * vEBT_VEBT ) > $o ).

tff(pred_def_804,type,
    sP1297: ( nat * vEBT_VEBT ) > $o ).

tff(pred_def_805,type,
    sP1298: $o > $o ).

tff(pred_def_806,type,
    sP1299: ( $o * $o * $o * nat * vEBT_VEBT ) > $o ).

tff(pred_def_807,type,
    sK1314: ( vEBT_VEBT * nat ) > $o ).

tff(pred_def_808,type,
    sK1315: ( vEBT_VEBT * nat ) > $o ).

tff(pred_def_809,type,
    sP1330: $o > $o ).

tff(pred_def_810,type,
    sP1331: $o > $o ).

tff(pred_def_811,type,
    sP1332: ( nat * nat ) > $o ).

tff(pred_def_812,type,
    sP1333: ( nat * nat ) > $o ).

tff(pred_def_813,type,
    sP1334: ( list(vEBT_VEBT) * nat * nat ) > $o ).

tff(pred_def_814,type,
    sK1359: vEBT_VEBT > $o ).

tff(pred_def_815,type,
    sK1360: vEBT_VEBT > $o ).

tff(pred_def_816,type,
    sP1361: ( nat * nat * vEBT_VEBT * nat * list(vEBT_VEBT) * nat * vEBT_VEBT ) > $o ).

tff(pred_def_817,type,
    sP1362: ( nat * nat * nat * nat * vEBT_VEBT * nat * list(vEBT_VEBT) * nat * vEBT_VEBT ) > $o ).

tff(pred_def_818,type,
    sP1363: ( nat * nat * nat * nat * vEBT_VEBT * nat * list(vEBT_VEBT) * nat * vEBT_VEBT ) > $o ).

tff(pred_def_819,type,
    sP1364: ( $o * $o * vEBT_VEBT ) > $o ).

tff(pred_def_820,type,
    sP1383: ( nat * nat * vEBT_VEBT * nat * list(vEBT_VEBT) * nat * vEBT_VEBT ) > $o ).

tff(pred_def_821,type,
    sP1384: ( vEBT_VEBT * nat * list(vEBT_VEBT) * nat * vEBT_VEBT ) > $o ).

tff(pred_def_822,type,
    sP1385: ( vEBT_VEBT * nat * list(vEBT_VEBT) * nat * vEBT_VEBT ) > $o ).

tff(pred_def_823,type,
    sP1386: vEBT_VEBT > $o ).

tff(pred_def_824,type,
    sK1389: vEBT_VEBT > $o ).

tff(pred_def_825,type,
    sK1390: vEBT_VEBT > $o ).

tff(pred_def_826,type,
    sP1401: ( nat * nat * nat * nat * list(vEBT_VEBT) ) > $o ).

tff(pred_def_827,type,
    sP1402: ( vEBT_VEBT * list(vEBT_VEBT) ) > $o ).

tff(pred_def_828,type,
    sP1405: ( nat * list(vEBT_VEBT) ) > $o ).

tff(pred_def_829,type,
    sP1406: ( nat * vEBT_VEBT ) > $o ).

tff(pred_def_830,type,
    sP1407: ( nat * nat * nat * nat * list(vEBT_VEBT) ) > $o ).

tff(pred_def_831,type,
    sP1408: ( vEBT_VEBT * list(vEBT_VEBT) ) > $o ).

tff(pred_def_832,type,
    sP1413: ( nat * list(vEBT_VEBT) ) > $o ).

tff(pred_def_833,type,
    sP1414: ( nat * vEBT_VEBT ) > $o ).

tff(pred_def_834,type,
    sK1419: ( vEBT_VEBT * nat * vEBT_VEBT ) > $o ).

tff(pred_def_835,type,
    sK1420: ( vEBT_VEBT * nat * vEBT_VEBT ) > $o ).

tff(pred_def_836,type,
    sP1435: ( vEBT_VEBT * list(vEBT_VEBT) * nat * nat * nat * vEBT_VEBT * nat * vEBT_VEBT ) > $o ).

tff(pred_def_837,type,
    sP1436: $o > $o ).

tff(pred_def_838,type,
    sP1437: $o > $o ).

tff(pred_def_839,type,
    sP1438: $o > $o ).

tff(pred_def_840,type,
    sP1439: ( nat * nat * nat ) > $o ).

tff(pred_def_841,type,
    sP1440: ( nat * nat * nat ) > $o ).

tff(pred_def_842,type,
    sP1441: ( nat * nat * nat ) > $o ).

tff(pred_def_843,type,
    sP1442: $o > $o ).

tff(pred_def_844,type,
    sP1443: $o > $o ).

tff(pred_def_845,type,
    sP1444: $o > $o ).

tff(pred_def_846,type,
    sP1445: ( list(vEBT_VEBT) * nat * nat * nat ) > $o ).

tff(pred_def_847,type,
    sP1446: ( nat * nat ) > $o ).

tff(pred_def_848,type,
    sP1447: ( nat * nat ) > $o ).

tff(pred_def_849,type,
    sK1448: ( vEBT_VEBT * nat * option(nat) ) > $o ).

tff(pred_def_850,type,
    sK1449: ( vEBT_VEBT * nat * option(nat) ) > $o ).

tff(pred_def_851,type,
    sK1450: ( vEBT_VEBT * nat * option(nat) ) > $o ).

tff(pred_def_852,type,
    sK1451: ( vEBT_VEBT * nat * option(nat) ) > $o ).

tff(pred_def_853,type,
    sP1466: ( vEBT_VEBT * list(vEBT_VEBT) * product_prod(nat,nat) * option(nat) * nat * vEBT_VEBT ) > $o ).

tff(pred_def_854,type,
    sP1467: ( vEBT_VEBT * list(vEBT_VEBT) * product_prod(nat,nat) * option(nat) * nat * vEBT_VEBT ) > $o ).

tff(pred_def_855,type,
    sP1468: ( vEBT_VEBT * list(vEBT_VEBT) * nat * nat * nat * option(nat) * nat * vEBT_VEBT ) > $o ).

tff(pred_def_856,type,
    sP1469: ( $o * $o * vEBT_VEBT ) > $o ).

tff(pred_def_857,type,
    sP1470: ( $o * $o * option(nat) * nat ) > $o ).

tff(pred_def_858,type,
    sP1471: $o > $o ).

tff(pred_def_859,type,
    sP1472: $o > $o ).

tff(pred_def_860,type,
    sP1473: $o > $o ).

tff(pred_def_861,type,
    sP1474: $o > $o ).

tff(pred_def_862,type,
    sP1475: $o > $o ).

tff(pred_def_863,type,
    sP1477: ( vEBT_VEBT * nat * option(nat) * $o ) > $o ).

tff(pred_def_864,type,
    sP1478: ( vEBT_VEBT * nat * option(nat) * $o ) > $o ).

tff(pred_def_865,type,
    sP1479: ( vEBT_VEBT * nat * option(nat) * $o ) > $o ).

tff(pred_def_866,type,
    sP1480: ( vEBT_VEBT * nat * option(nat) * $o ) > $o ).

tff(pred_def_867,type,
    sP1481: ( vEBT_VEBT * nat * option(nat) * $o ) > $o ).

tff(pred_def_868,type,
    sP1482: ( vEBT_VEBT * nat * option(nat) * $o ) > $o ).

tff(pred_def_869,type,
    sP1483: ( vEBT_VEBT * nat * option(nat) * $o ) > $o ).

tff(pred_def_870,type,
    sP1484: ( vEBT_VEBT * nat * option(nat) * $o ) > $o ).

tff(pred_def_871,type,
    sP1485: ( vEBT_VEBT * nat * option(nat) * $o ) > $o ).

tff(pred_def_872,type,
    sP1486: ( vEBT_VEBT * nat * option(nat) * $o ) > $o ).

tff(pred_def_873,type,
    sP1487: ( vEBT_VEBT * nat * option(nat) * $o ) > $o ).

tff(pred_def_874,type,
    sP1488: ( vEBT_VEBT * nat * option(nat) * $o ) > $o ).

tff(pred_def_875,type,
    sP1489: ( vEBT_VEBT * nat * option(nat) * $o ) > $o ).

tff(pred_def_876,type,
    sP1490: ( vEBT_VEBT * nat * option(nat) * $o ) > $o ).

tff(pred_def_877,type,
    sP1491: ( vEBT_VEBT * nat * option(nat) * $o ) > $o ).

tff(pred_def_878,type,
    sP1492: ( vEBT_VEBT * nat * option(nat) * $o ) > $o ).

tff(pred_def_879,type,
    sP1493: ( vEBT_VEBT * nat * option(nat) * $o ) > $o ).

tff(pred_def_880,type,
    sP1494: ( vEBT_VEBT * nat * option(nat) * $o ) > $o ).

tff(pred_def_881,type,
    sP1495: ( vEBT_VEBT * nat * option(nat) * $o ) > $o ).

tff(pred_def_882,type,
    sP1496: ( vEBT_VEBT * nat * option(nat) * $o ) > $o ).

tff(pred_def_883,type,
    sP1497: ( vEBT_VEBT * nat * option(nat) * $o ) > $o ).

tff(pred_def_884,type,
    sP1498: ( vEBT_VEBT * nat * option(nat) * $o ) > $o ).

tff(pred_def_885,type,
    sP1499: ( vEBT_VEBT * nat * option(nat) * $o ) > $o ).

tff(pred_def_886,type,
    sP1500: ( vEBT_VEBT * nat * option(nat) * $o ) > $o ).

tff(pred_def_887,type,
    sP1501: ( vEBT_VEBT * nat * option(nat) * $o ) > $o ).

tff(pred_def_888,type,
    sP1502: ( vEBT_VEBT * nat * option(nat) * $o ) > $o ).

tff(pred_def_889,type,
    sP1503: ( vEBT_VEBT * nat * option(nat) * $o ) > $o ).

tff(pred_def_890,type,
    sP1504: ( vEBT_VEBT * nat * option(nat) * $o ) > $o ).

tff(pred_def_891,type,
    sP1505: ( vEBT_VEBT * nat * option(nat) * $o ) > $o ).

tff(pred_def_892,type,
    sP1506: ( vEBT_VEBT * nat * option(nat) * $o ) > $o ).

tff(pred_def_893,type,
    sP1507: ( vEBT_VEBT * nat * option(nat) * $o ) > $o ).

tff(pred_def_894,type,
    sP1508: ( vEBT_VEBT * nat * option(nat) * $o ) > $o ).

tff(pred_def_895,type,
    sP1509: ( vEBT_VEBT * nat * option(nat) * $o ) > $o ).

tff(pred_def_896,type,
    sP1510: ( vEBT_VEBT * nat * option(nat) * $o ) > $o ).

tff(pred_def_897,type,
    sP1511: ( vEBT_VEBT * nat * option(nat) * $o ) > $o ).

tff(pred_def_898,type,
    sP1512: ( vEBT_VEBT * nat * option(nat) * $o ) > $o ).

tff(pred_def_899,type,
    sP1513: ( vEBT_VEBT * nat * option(nat) * $o ) > $o ).

tff(pred_def_900,type,
    sP1514: ( vEBT_VEBT * nat * option(nat) * $o ) > $o ).

tff(pred_def_901,type,
    sP1515: ( vEBT_VEBT * nat * option(nat) * $o ) > $o ).

tff(pred_def_902,type,
    sP1516: ( vEBT_VEBT * nat * option(nat) * $o ) > $o ).

tff(pred_def_903,type,
    sP1517: ( vEBT_VEBT * nat * option(nat) * $o ) > $o ).

tff(pred_def_904,type,
    sP1518: ( vEBT_VEBT * nat * option(nat) * $o ) > $o ).

tff(pred_def_905,type,
    sP1519: ( vEBT_VEBT * nat * option(nat) * $o ) > $o ).

tff(pred_def_906,type,
    sP1520: ( vEBT_VEBT * nat * option(nat) * $o ) > $o ).

tff(pred_def_907,type,
    sP1521: ( vEBT_VEBT * nat * option(nat) * $o ) > $o ).

tff(pred_def_908,type,
    sP1522: ( vEBT_VEBT * nat * option(nat) * $o ) > $o ).

tff(pred_def_909,type,
    sP1523: ( vEBT_VEBT * nat * option(nat) * $o ) > $o ).

tff(pred_def_910,type,
    sP1524: ( vEBT_VEBT * nat * option(nat) * $o ) > $o ).

tff(pred_def_911,type,
    sP1525: ( vEBT_VEBT * nat * option(nat) * $o ) > $o ).

tff(pred_def_912,type,
    sP1526: ( vEBT_VEBT * nat * option(nat) * $o ) > $o ).

tff(pred_def_913,type,
    sP1527: ( vEBT_VEBT * nat * option(nat) * $o ) > $o ).

tff(pred_def_914,type,
    sP1528: ( vEBT_VEBT * nat * option(nat) * $o ) > $o ).

tff(pred_def_915,type,
    sP1529: ( vEBT_VEBT * nat * option(nat) * $o ) > $o ).

tff(pred_def_916,type,
    sP1530: ( vEBT_VEBT * nat * option(nat) * $o ) > $o ).

tff(pred_def_917,type,
    sP1531: ( vEBT_VEBT * nat * option(nat) * $o ) > $o ).

tff(pred_def_918,type,
    sP1532: ( vEBT_VEBT * nat * option(nat) * $o ) > $o ).

tff(pred_def_919,type,
    sP1533: ( vEBT_VEBT * nat * option(nat) * $o ) > $o ).

tff(pred_def_920,type,
    sP1534: ( vEBT_VEBT * nat * option(nat) * $o ) > $o ).

tff(pred_def_921,type,
    sP1535: ( vEBT_VEBT * nat * option(nat) * $o ) > $o ).

tff(pred_def_922,type,
    sP1536: ( vEBT_VEBT * nat * option(nat) * $o ) > $o ).

tff(pred_def_923,type,
    sP1537: ( vEBT_VEBT * nat * option(nat) * $o ) > $o ).

tff(pred_def_924,type,
    sP1538: ( vEBT_VEBT * nat * option(nat) * $o ) > $o ).

tff(pred_def_925,type,
    sP1539: ( vEBT_VEBT * nat * option(nat) * $o ) > $o ).

tff(pred_def_926,type,
    sP1540: ( vEBT_VEBT * nat * option(nat) * $o ) > $o ).

tff(pred_def_927,type,
    sP1541: ( vEBT_VEBT * nat * option(nat) * $o ) > $o ).

tff(pred_def_928,type,
    sP1542: ( vEBT_VEBT * nat * option(nat) * $o ) > $o ).

tff(pred_def_929,type,
    sK1543: ( vEBT_VEBT * nat * option(nat) ) > $o ).

tff(pred_def_930,type,
    sK1544: ( vEBT_VEBT * nat * option(nat) ) > $o ).

tff(pred_def_931,type,
    sK1545: ( vEBT_VEBT * nat * option(nat) ) > $o ).

tff(pred_def_932,type,
    sK1546: ( vEBT_VEBT * nat * option(nat) ) > $o ).

tff(pred_def_933,type,
    sK1547: ( vEBT_VEBT * nat * option(nat) ) > $o ).

tff(pred_def_934,type,
    sK1548: ( vEBT_VEBT * nat * option(nat) ) > $o ).

tff(pred_def_935,type,
    sP1563: ( $o * $o * option(nat) * nat * vEBT_VEBT ) > $o ).

tff(pred_def_936,type,
    sP1564: ( vEBT_VEBT * list(vEBT_VEBT) * nat * option(nat) * nat * vEBT_VEBT ) > $o ).

tff(pred_def_937,type,
    sP1565: ( vEBT_VEBT * list(vEBT_VEBT) * product_prod(nat,nat) * option(nat) * nat * vEBT_VEBT ) > $o ).

tff(pred_def_938,type,
    sP1566: ( vEBT_VEBT * list(vEBT_VEBT) * product_prod(nat,nat) * option(nat) * nat * vEBT_VEBT ) > $o ).

tff(pred_def_939,type,
    sP1567: ( vEBT_VEBT * list(vEBT_VEBT) * nat * nat * nat * option(nat) * nat * vEBT_VEBT ) > $o ).

tff(pred_def_940,type,
    sP1568: ( $o * $o * vEBT_VEBT ) > $o ).

tff(pred_def_941,type,
    sP1569: ( $o * option(nat) ) > $o ).

tff(pred_def_942,type,
    sP1570: ( $o * $o ) > $o ).

tff(pred_def_943,type,
    sP1571: $o > $o ).

tff(pred_def_944,type,
    sP1572: $o > $o ).

tff(pred_def_945,type,
    sP1573: $o > $o ).

tff(pred_def_946,type,
    sP1574: $o > $o ).

tff(pred_def_947,type,
    sP1576: ( vEBT_VEBT * nat * option(nat) * $o ) > $o ).

tff(pred_def_948,type,
    sP1577: ( vEBT_VEBT * nat * option(nat) * $o ) > $o ).

tff(pred_def_949,type,
    sP1578: ( vEBT_VEBT * nat * option(nat) * $o ) > $o ).

tff(pred_def_950,type,
    sP1579: ( vEBT_VEBT * nat * option(nat) * $o ) > $o ).

tff(pred_def_951,type,
    sP1580: ( vEBT_VEBT * nat * option(nat) * $o ) > $o ).

tff(pred_def_952,type,
    sP1581: ( vEBT_VEBT * nat * option(nat) * $o ) > $o ).

tff(pred_def_953,type,
    sP1582: ( vEBT_VEBT * nat * option(nat) * $o ) > $o ).

tff(pred_def_954,type,
    sP1583: ( vEBT_VEBT * nat * option(nat) * $o ) > $o ).

tff(pred_def_955,type,
    sP1584: ( vEBT_VEBT * nat * option(nat) * $o ) > $o ).

tff(pred_def_956,type,
    sP1585: ( vEBT_VEBT * nat * option(nat) * $o ) > $o ).

tff(pred_def_957,type,
    sP1586: ( vEBT_VEBT * nat * option(nat) * $o ) > $o ).

tff(pred_def_958,type,
    sP1587: ( vEBT_VEBT * nat * option(nat) * $o ) > $o ).

tff(pred_def_959,type,
    sP1588: ( vEBT_VEBT * nat * option(nat) * $o ) > $o ).

tff(pred_def_960,type,
    sP1589: ( vEBT_VEBT * nat * option(nat) * $o ) > $o ).

tff(pred_def_961,type,
    sP1590: ( vEBT_VEBT * nat * option(nat) * $o ) > $o ).

tff(pred_def_962,type,
    sP1591: ( vEBT_VEBT * nat * option(nat) * $o ) > $o ).

tff(pred_def_963,type,
    sP1592: ( vEBT_VEBT * nat * option(nat) * $o ) > $o ).

tff(pred_def_964,type,
    sP1593: ( vEBT_VEBT * nat * option(nat) * $o ) > $o ).

tff(pred_def_965,type,
    sP1594: ( vEBT_VEBT * nat * option(nat) * $o ) > $o ).

tff(pred_def_966,type,
    sP1595: ( vEBT_VEBT * nat * option(nat) * $o ) > $o ).

tff(pred_def_967,type,
    sP1596: ( vEBT_VEBT * nat * option(nat) * $o ) > $o ).

tff(pred_def_968,type,
    sP1597: ( vEBT_VEBT * nat * option(nat) * $o ) > $o ).

tff(pred_def_969,type,
    sP1598: ( vEBT_VEBT * nat * option(nat) * $o ) > $o ).

tff(pred_def_970,type,
    sP1599: ( vEBT_VEBT * nat * option(nat) * $o ) > $o ).

tff(pred_def_971,type,
    sP1600: ( vEBT_VEBT * nat * option(nat) * $o ) > $o ).

tff(pred_def_972,type,
    sP1601: ( vEBT_VEBT * nat * option(nat) * $o ) > $o ).

tff(pred_def_973,type,
    sP1602: ( vEBT_VEBT * nat * option(nat) * $o ) > $o ).

tff(pred_def_974,type,
    sP1603: ( vEBT_VEBT * nat * option(nat) * $o ) > $o ).

tff(pred_def_975,type,
    sP1604: ( vEBT_VEBT * nat * option(nat) * $o ) > $o ).

tff(pred_def_976,type,
    sP1605: ( vEBT_VEBT * nat * option(nat) * $o ) > $o ).

tff(pred_def_977,type,
    sP1606: ( vEBT_VEBT * nat * option(nat) * $o ) > $o ).

tff(pred_def_978,type,
    sP1607: ( vEBT_VEBT * nat * option(nat) * $o ) > $o ).

tff(pred_def_979,type,
    sP1608: ( vEBT_VEBT * nat * option(nat) * $o ) > $o ).

tff(pred_def_980,type,
    sP1609: ( vEBT_VEBT * nat * option(nat) * $o ) > $o ).

tff(pred_def_981,type,
    sP1610: ( vEBT_VEBT * nat * option(nat) * $o ) > $o ).

tff(pred_def_982,type,
    sP1611: ( vEBT_VEBT * nat * option(nat) * $o ) > $o ).

tff(pred_def_983,type,
    sP1612: ( vEBT_VEBT * nat * option(nat) * $o ) > $o ).

tff(pred_def_984,type,
    sP1613: ( vEBT_VEBT * nat * option(nat) * $o ) > $o ).

tff(pred_def_985,type,
    sP1614: ( vEBT_VEBT * nat * option(nat) * $o ) > $o ).

tff(pred_def_986,type,
    sP1615: ( vEBT_VEBT * nat * option(nat) * $o ) > $o ).

tff(pred_def_987,type,
    sP1616: ( vEBT_VEBT * nat * option(nat) * $o ) > $o ).

tff(pred_def_988,type,
    sP1617: ( vEBT_VEBT * nat * option(nat) * $o ) > $o ).

tff(pred_def_989,type,
    sP1618: ( vEBT_VEBT * nat * option(nat) * $o ) > $o ).

tff(pred_def_990,type,
    sP1619: ( vEBT_VEBT * nat * option(nat) * $o ) > $o ).

tff(pred_def_991,type,
    sP1620: ( vEBT_VEBT * nat * option(nat) * $o ) > $o ).

tff(pred_def_992,type,
    sP1621: ( vEBT_VEBT * nat * option(nat) * $o ) > $o ).

tff(pred_def_993,type,
    sP1622: ( vEBT_VEBT * nat * option(nat) * $o ) > $o ).

tff(pred_def_994,type,
    sP1623: ( vEBT_VEBT * nat * option(nat) * $o ) > $o ).

tff(pred_def_995,type,
    sP1624: ( vEBT_VEBT * nat * option(nat) * $o ) > $o ).

tff(pred_def_996,type,
    sP1625: ( vEBT_VEBT * nat * option(nat) * $o ) > $o ).

tff(pred_def_997,type,
    sP1626: ( vEBT_VEBT * nat * option(nat) * $o ) > $o ).

tff(pred_def_998,type,
    sP1627: ( vEBT_VEBT * nat * option(nat) * $o ) > $o ).

tff(pred_def_999,type,
    sP1628: ( vEBT_VEBT * nat * option(nat) * $o ) > $o ).

tff(pred_def_1000,type,
    sP1629: ( vEBT_VEBT * nat * option(nat) * $o ) > $o ).

tff(pred_def_1001,type,
    sP1630: ( vEBT_VEBT * nat * option(nat) * $o ) > $o ).

tff(pred_def_1002,type,
    sP1631: ( vEBT_VEBT * nat * option(nat) * $o ) > $o ).

tff(pred_def_1003,type,
    sP1632: ( vEBT_VEBT * nat * option(nat) * $o ) > $o ).

tff(pred_def_1004,type,
    sP1633: ( vEBT_VEBT * nat * option(nat) * $o ) > $o ).

tff(pred_def_1005,type,
    sP1634: ( vEBT_VEBT * nat * option(nat) * $o ) > $o ).

tff(pred_def_1006,type,
    sP1635: ( vEBT_VEBT * nat * option(nat) * $o ) > $o ).

tff(pred_def_1007,type,
    sP1636: ( vEBT_VEBT * nat * option(nat) * $o ) > $o ).

tff(pred_def_1008,type,
    sP1637: ( vEBT_VEBT * nat * option(nat) * $o ) > $o ).

tff(pred_def_1009,type,
    sP1638: ( vEBT_VEBT * nat * option(nat) * $o ) > $o ).

tff(pred_def_1010,type,
    sP1639: ( vEBT_VEBT * nat * option(nat) * $o ) > $o ).

tff(pred_def_1011,type,
    sP1640: ( vEBT_VEBT * nat * option(nat) * $o ) > $o ).

tff(pred_def_1012,type,
    sP1641: ( vEBT_VEBT * nat * option(nat) * $o ) > $o ).

tff(pred_def_1013,type,
    sP1642: ( vEBT_VEBT * nat * option(nat) * $o ) > $o ).

tff(pred_def_1014,type,
    sP1643: ( vEBT_VEBT * nat * option(nat) * $o ) > $o ).

tff(pred_def_1015,type,
    sP1644: ( vEBT_VEBT * nat * option(nat) * $o ) > $o ).

tff(pred_def_1016,type,
    sP1645: ( vEBT_VEBT * nat * option(nat) * $o ) > $o ).

tff(pred_def_1017,type,
    sP1646: ( vEBT_VEBT * nat * option(nat) * $o ) > $o ).

tff(pred_def_1018,type,
    sP1647: ( vEBT_VEBT * nat * option(nat) * $o ) > $o ).

tff(pred_def_1019,type,
    sP1648: ( vEBT_VEBT * nat * option(nat) * $o ) > $o ).

tff(pred_def_1020,type,
    sP1649: ( vEBT_VEBT * nat * option(nat) * $o ) > $o ).

tff(pred_def_1021,type,
    sP1650: ( vEBT_VEBT * nat * option(nat) * $o ) > $o ).

tff(pred_def_1022,type,
    sP1651: ( vEBT_VEBT * nat * option(nat) * $o ) > $o ).

tff(pred_def_1023,type,
    sP1652: ( vEBT_VEBT * nat * option(nat) * $o ) > $o ).

tff(pred_def_1024,type,
    sP1653: ( vEBT_VEBT * nat * option(nat) * $o ) > $o ).

tff(pred_def_1025,type,
    sP1654: ( vEBT_VEBT * nat * option(nat) * $o ) > $o ).

tff(pred_def_1026,type,
    sP1655: ( vEBT_VEBT * nat * option(nat) * $o ) > $o ).

tff(pred_def_1027,type,
    sP1656: ( vEBT_VEBT * nat * option(nat) * $o ) > $o ).

tff(pred_def_1028,type,
    sP1657: ( vEBT_VEBT * nat * option(nat) * $o ) > $o ).

tff(pred_def_1029,type,
    sP1658: ( vEBT_VEBT * nat * option(nat) * $o ) > $o ).

tff(pred_def_1030,type,
    sP1659: ( vEBT_VEBT * nat * option(nat) * $o ) > $o ).

tff(pred_def_1031,type,
    sP1660: ( vEBT_VEBT * nat * option(nat) * $o ) > $o ).

tff(pred_def_1032,type,
    sP1661: ( vEBT_VEBT * nat * option(nat) * $o ) > $o ).

tff(pred_def_1033,type,
    sP1662: ( vEBT_VEBT * nat * option(nat) * $o ) > $o ).

tff(pred_def_1034,type,
    sP1663: ( vEBT_VEBT * nat * option(nat) * $o ) > $o ).

tff(pred_def_1035,type,
    sP1664: ( vEBT_VEBT * nat * option(nat) * $o ) > $o ).

tff(pred_def_1036,type,
    sP1665: ( vEBT_VEBT * nat * option(nat) * $o ) > $o ).

tff(pred_def_1037,type,
    sP1666: ( vEBT_VEBT * nat * option(nat) * $o ) > $o ).

tff(pred_def_1038,type,
    sP1667: ( vEBT_VEBT * nat * option(nat) * $o ) > $o ).

tff(pred_def_1039,type,
    sP1668: ( vEBT_VEBT * nat * option(nat) * $o ) > $o ).

tff(pred_def_1040,type,
    sP1669: ( vEBT_VEBT * nat * option(nat) * $o ) > $o ).

tff(pred_def_1041,type,
    sP1670: ( vEBT_VEBT * nat * option(nat) * $o ) > $o ).

tff(pred_def_1042,type,
    sP1671: ( vEBT_VEBT * nat * option(nat) * $o ) > $o ).

tff(pred_def_1043,type,
    sP1672: ( vEBT_VEBT * nat * option(nat) * $o ) > $o ).

tff(pred_def_1044,type,
    sP1673: ( vEBT_VEBT * nat * option(nat) * $o ) > $o ).

tff(pred_def_1045,type,
    sP1674: ( vEBT_VEBT * nat * option(nat) * $o ) > $o ).

tff(pred_def_1046,type,
    sP1675: ( vEBT_VEBT * nat * option(nat) * $o ) > $o ).

tff(pred_def_1047,type,
    sP1676: ( vEBT_VEBT * nat * option(nat) * $o ) > $o ).

tff(pred_def_1048,type,
    sP1677: ( vEBT_VEBT * nat * option(nat) * $o ) > $o ).

tff(pred_def_1049,type,
    sP1678: ( vEBT_VEBT * nat * option(nat) * $o ) > $o ).

tff(pred_def_1050,type,
    sP1679: ( vEBT_VEBT * nat * option(nat) * $o ) > $o ).

tff(pred_def_1051,type,
    sP1680: ( vEBT_VEBT * nat * option(nat) * $o ) > $o ).

tff(pred_def_1052,type,
    sP1681: ( vEBT_VEBT * nat * option(nat) * $o ) > $o ).

tff(pred_def_1053,type,
    sP1682: ( vEBT_VEBT * nat * option(nat) * $o ) > $o ).

tff(pred_def_1054,type,
    sP1683: ( vEBT_VEBT * nat * option(nat) * $o ) > $o ).

tff(pred_def_1055,type,
    sP1684: ( vEBT_VEBT * nat * option(nat) * $o ) > $o ).

tff(pred_def_1056,type,
    sP1685: ( vEBT_VEBT * nat * option(nat) * $o ) > $o ).

tff(pred_def_1057,type,
    sP1686: ( vEBT_VEBT * nat * option(nat) * $o ) > $o ).

tff(pred_def_1058,type,
    sP1687: ( vEBT_VEBT * nat * option(nat) * $o ) > $o ).

tff(pred_def_1059,type,
    sP1688: ( vEBT_VEBT * nat * option(nat) * $o ) > $o ).

tff(pred_def_1060,type,
    sP1689: ( vEBT_VEBT * nat * option(nat) * $o ) > $o ).

tff(pred_def_1061,type,
    sP1690: ( vEBT_VEBT * nat * option(nat) * $o ) > $o ).

tff(pred_def_1062,type,
    sP1691: ( vEBT_VEBT * nat * option(nat) * $o ) > $o ).

tff(pred_def_1063,type,
    sP1692: ( vEBT_VEBT * nat * option(nat) * $o ) > $o ).

tff(pred_def_1064,type,
    sP1693: ( vEBT_VEBT * nat * option(nat) * $o ) > $o ).

tff(pred_def_1065,type,
    sP1694: ( vEBT_VEBT * nat * option(nat) * $o ) > $o ).

tff(pred_def_1066,type,
    sP1695: ( vEBT_VEBT * nat * option(nat) * $o ) > $o ).

tff(pred_def_1067,type,
    sK1696: ( vEBT_VEBT * nat * vEBT_VEBT ) > $o ).

tff(pred_def_1068,type,
    sK1697: ( vEBT_VEBT * nat * vEBT_VEBT ) > $o ).

tff(pred_def_1069,type,
    sK1698: ( vEBT_VEBT * nat * vEBT_VEBT ) > $o ).

tff(pred_def_1070,type,
    sK1699: ( vEBT_VEBT * nat * vEBT_VEBT ) > $o ).

tff(pred_def_1071,type,
    sK1700: ( vEBT_VEBT * nat * vEBT_VEBT ) > $o ).

tff(pred_def_1072,type,
    sK1701: ( vEBT_VEBT * nat * vEBT_VEBT ) > $o ).

tff(pred_def_1073,type,
    sP1718: ( $o * $o * vEBT_VEBT * nat * vEBT_VEBT ) > $o ).

tff(pred_def_1074,type,
    sP1719: ( vEBT_VEBT * list(vEBT_VEBT) * nat * vEBT_VEBT * nat * vEBT_VEBT ) > $o ).

tff(pred_def_1075,type,
    sP1720: ( vEBT_VEBT * list(vEBT_VEBT) * nat * nat * vEBT_VEBT * nat * vEBT_VEBT ) > $o ).

tff(pred_def_1076,type,
    sP1721: ( vEBT_VEBT * list(vEBT_VEBT) * nat * nat * vEBT_VEBT * nat * vEBT_VEBT ) > $o ).

tff(pred_def_1077,type,
    sP1722: ( vEBT_VEBT * list(vEBT_VEBT) * nat * nat * nat * vEBT_VEBT * nat * vEBT_VEBT ) > $o ).

tff(pred_def_1078,type,
    sP1723: ( $o * $o * vEBT_VEBT ) > $o ).

tff(pred_def_1079,type,
    sP1724: ( $o * vEBT_VEBT ) > $o ).

tff(pred_def_1080,type,
    sP1725: ( $o * $o ) > $o ).

tff(pred_def_1081,type,
    sP1726: $o > $o ).

tff(pred_def_1082,type,
    sP1727: $o > $o ).

tff(pred_def_1083,type,
    sP1728: $o > $o ).

tff(pred_def_1084,type,
    sP1729: $o > $o ).

tff(pred_def_1085,type,
    sP1731: ( vEBT_VEBT * list(vEBT_VEBT) * nat * nat * nat * nat * nat ) > $o ).

tff(pred_def_1086,type,
    sP1732: ( vEBT_VEBT * list(vEBT_VEBT) * nat * nat * nat * nat ) > $o ).

tff(pred_def_1087,type,
    sP1733: ( vEBT_VEBT * list(vEBT_VEBT) * nat * nat * nat * nat ) > $o ).

tff(pred_def_1088,type,
    sP1734: ( vEBT_VEBT * list(vEBT_VEBT) * nat * nat * nat * nat * nat ) > $o ).

tff(pred_def_1089,type,
    sP1735: ( vEBT_VEBT * list(vEBT_VEBT) * nat * nat * nat * nat ) > $o ).

tff(pred_def_1090,type,
    sP1736: ( vEBT_VEBT * list(vEBT_VEBT) * nat * nat * nat * nat * nat ) > $o ).

tff(pred_def_1091,type,
    sP1737: ( vEBT_VEBT * list(vEBT_VEBT) * nat * nat * nat * nat ) > $o ).

tff(pred_def_1092,type,
    sP1738: ( vEBT_VEBT * list(vEBT_VEBT) * nat * nat * nat * nat ) > $o ).

tff(pred_def_1093,type,
    sP1739: ( vEBT_VEBT * list(vEBT_VEBT) * nat * nat * nat * nat * nat ) > $o ).

tff(pred_def_1094,type,
    sP1740: ( vEBT_VEBT * list(vEBT_VEBT) * nat * nat * nat * nat ) > $o ).

tff(pred_def_1095,type,
    sP1741: ( vEBT_VEBT * list(vEBT_VEBT) * nat * nat * nat * nat ) > $o ).

tff(pred_def_1096,type,
    sP1742: ( vEBT_VEBT * list(vEBT_VEBT) * nat * nat * nat * nat ) > $o ).

tff(pred_def_1097,type,
    sP1743: ( vEBT_VEBT * list(vEBT_VEBT) * nat * nat * nat * nat ) > $o ).

tff(pred_def_1098,type,
    sP1744: ( vEBT_VEBT * list(vEBT_VEBT) * nat * nat * nat * nat ) > $o ).

tff(pred_def_1099,type,
    sP1745: ( vEBT_VEBT * list(vEBT_VEBT) * nat * nat * nat * nat ) > $o ).

tff(pred_def_1100,type,
    sP1746: ( vEBT_VEBT * list(vEBT_VEBT) * nat * nat * nat * nat ) > $o ).

tff(pred_def_1101,type,
    sP1747: ( vEBT_VEBT * list(vEBT_VEBT) * nat * nat * nat * nat ) > $o ).

tff(pred_def_1102,type,
    sP1748: ( vEBT_VEBT * list(vEBT_VEBT) * nat * nat * nat * nat ) > $o ).

tff(pred_def_1103,type,
    sP1749: ( vEBT_VEBT * list(vEBT_VEBT) * nat * nat * nat * nat ) > $o ).

tff(pred_def_1104,type,
    sP1750: ( vEBT_VEBT * list(vEBT_VEBT) * nat * nat * nat * nat ) > $o ).

tff(pred_def_1105,type,
    sP1751: ( vEBT_VEBT * list(vEBT_VEBT) * nat * nat * nat * nat ) > $o ).

tff(pred_def_1106,type,
    sP1752: ( vEBT_VEBT * list(vEBT_VEBT) * nat * nat * nat * nat ) > $o ).

tff(pred_def_1107,type,
    sP1753: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_1108,type,
    sP1754: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_1109,type,
    sP1755: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_1110,type,
    sP1756: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_1111,type,
    sP1757: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_1112,type,
    sP1758: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_1113,type,
    sP1759: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_1114,type,
    sP1760: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_1115,type,
    sP1761: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_1116,type,
    sP1762: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_1117,type,
    sP1763: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_1118,type,
    sP1764: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_1119,type,
    sP1765: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_1120,type,
    sP1766: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_1121,type,
    sP1767: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_1122,type,
    sP1768: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_1123,type,
    sP1769: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_1124,type,
    sP1770: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_1125,type,
    sP1771: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_1126,type,
    sP1772: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_1127,type,
    sP1773: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_1128,type,
    sP1774: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_1129,type,
    sP1775: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_1130,type,
    sP1776: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_1131,type,
    sP1777: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_1132,type,
    sP1778: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_1133,type,
    sP1779: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_1134,type,
    sP1780: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_1135,type,
    sP1781: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_1136,type,
    sP1782: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_1137,type,
    sP1783: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_1138,type,
    sP1784: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_1139,type,
    sP1785: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_1140,type,
    sP1786: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_1141,type,
    sP1787: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_1142,type,
    sP1788: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_1143,type,
    sP1789: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_1144,type,
    sP1790: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_1145,type,
    sP1791: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_1146,type,
    sP1792: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_1147,type,
    sP1793: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_1148,type,
    sP1794: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_1149,type,
    sP1795: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_1150,type,
    sP1796: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_1151,type,
    sP1797: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_1152,type,
    sP1798: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_1153,type,
    sP1799: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_1154,type,
    sP1800: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_1155,type,
    sP1801: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_1156,type,
    sP1802: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_1157,type,
    sP1803: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_1158,type,
    sP1804: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_1159,type,
    sP1805: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_1160,type,
    sP1806: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_1161,type,
    sP1807: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_1162,type,
    sP1808: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_1163,type,
    sP1809: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_1164,type,
    sP1810: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_1165,type,
    sP1811: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_1166,type,
    sP1812: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_1167,type,
    sP1813: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_1168,type,
    sP1814: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_1169,type,
    sP1815: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_1170,type,
    sP1816: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_1171,type,
    sP1817: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_1172,type,
    sP1818: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_1173,type,
    sP1819: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_1174,type,
    sP1820: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_1175,type,
    sP1821: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_1176,type,
    sP1822: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_1177,type,
    sP1823: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_1178,type,
    sP1824: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_1179,type,
    sP1825: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_1180,type,
    sP1826: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_1181,type,
    sP1827: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_1182,type,
    sP1828: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_1183,type,
    sP1829: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_1184,type,
    sP1830: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_1185,type,
    sP1831: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_1186,type,
    sP1832: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_1187,type,
    sP1833: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_1188,type,
    sP1834: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_1189,type,
    sP1835: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_1190,type,
    sP1836: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_1191,type,
    sP1837: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_1192,type,
    sP1838: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_1193,type,
    sP1839: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_1194,type,
    sP1840: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_1195,type,
    sP1841: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_1196,type,
    sP1842: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_1197,type,
    sP1843: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_1198,type,
    sP1844: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_1199,type,
    sP1845: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_1200,type,
    sP1846: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_1201,type,
    sP1847: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_1202,type,
    sP1848: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_1203,type,
    sP1849: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_1204,type,
    sP1850: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_1205,type,
    sP1851: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_1206,type,
    sP1852: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_1207,type,
    sP1853: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_1208,type,
    sP1854: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_1209,type,
    sP1855: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_1210,type,
    sP1856: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_1211,type,
    sP1857: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_1212,type,
    sP1858: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_1213,type,
    sP1859: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_1214,type,
    sP1860: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_1215,type,
    sP1861: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_1216,type,
    sP1862: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_1217,type,
    sP1863: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_1218,type,
    sP1864: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_1219,type,
    sP1865: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_1220,type,
    sP1866: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_1221,type,
    sP1867: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_1222,type,
    sP1868: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_1223,type,
    sP1869: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_1224,type,
    sP1870: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_1225,type,
    sP1871: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_1226,type,
    sP1872: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_1227,type,
    sP1873: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_1228,type,
    sP1874: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_1229,type,
    sP1875: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_1230,type,
    sP1876: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_1231,type,
    sP1877: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_1232,type,
    sP1878: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_1233,type,
    sP1879: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_1234,type,
    sP1880: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_1235,type,
    sP1881: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_1236,type,
    sP1882: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_1237,type,
    sP1883: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_1238,type,
    sP1884: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_1239,type,
    sK1890: ( vEBT_VEBT * nat * vEBT_VEBT ) > $o ).

tff(pred_def_1240,type,
    sK1891: ( vEBT_VEBT * nat * vEBT_VEBT ) > $o ).

tff(pred_def_1241,type,
    sP1906: ( vEBT_VEBT * list(vEBT_VEBT) * option(product_prod(nat,nat)) * vEBT_VEBT * nat * vEBT_VEBT ) > $o ).

tff(pred_def_1242,type,
    sP1907: ( vEBT_VEBT * list(vEBT_VEBT) * nat * vEBT_VEBT * nat * vEBT_VEBT ) > $o ).

tff(pred_def_1243,type,
    sP1908: ( vEBT_VEBT * list(vEBT_VEBT) * nat * nat * nat * vEBT_VEBT * nat * vEBT_VEBT ) > $o ).

tff(pred_def_1244,type,
    sP1909: $o > $o ).

tff(pred_def_1245,type,
    sP1910: $o > $o ).

tff(pred_def_1246,type,
    sP1911: $o > $o ).

tff(pred_def_1247,type,
    sP1912: $o > $o ).

tff(pred_def_1248,type,
    sP1913: ( nat * nat * nat ) > $o ).

tff(pred_def_1249,type,
    sP1914: ( nat * nat * nat ) > $o ).

tff(pred_def_1250,type,
    sP1915: ( nat * nat * nat ) > $o ).

tff(pred_def_1251,type,
    sP1916: $o > $o ).

tff(pred_def_1252,type,
    sP1917: $o > $o ).

tff(pred_def_1253,type,
    sP1918: ( list(vEBT_VEBT) * nat * nat * nat ) > $o ).

tff(pred_def_1254,type,
    sP1919: ( nat * nat ) > $o ).

tff(pred_def_1255,type,
    sP1920: ( nat * nat ) > $o ).

tff(pred_def_1256,type,
    sK1921: ( vEBT_VEBT * nat * vEBT_VEBT ) > $o ).

tff(pred_def_1257,type,
    sK1922: ( vEBT_VEBT * nat * vEBT_VEBT ) > $o ).

tff(pred_def_1258,type,
    sP1927: ( vEBT_VEBT * list(vEBT_VEBT) * nat * option(product_prod(nat,nat)) * vEBT_VEBT * nat ) > $o ).

tff(pred_def_1259,type,
    sP1928: $o > $o ).

tff(pred_def_1260,type,
    sP1929: $o > $o ).

tff(pred_def_1261,type,
    sP1930: $o > $o ).

tff(pred_def_1262,type,
    sP1931: $o > $o ).

tff(pred_def_1263,type,
    sP1932: $o > $o ).

tff(pred_def_1264,type,
    sP1933: $o > $o ).

tff(pred_def_1265,type,
    sK1934: ( vEBT_VEBT * nat ) > $o ).

tff(pred_def_1266,type,
    sK1935: ( vEBT_VEBT * nat ) > $o ).

tff(pred_def_1267,type,
    sP1950: ( vEBT_VEBT * list(vEBT_VEBT) * product_prod(nat,nat) * nat * vEBT_VEBT ) > $o ).

tff(pred_def_1268,type,
    sP1951: ( vEBT_VEBT * list(vEBT_VEBT) * nat * nat * nat * nat * vEBT_VEBT ) > $o ).

tff(pred_def_1269,type,
    sP1952: $o > $o ).

tff(pred_def_1270,type,
    sP1953: $o > $o ).

tff(pred_def_1271,type,
    sP1954: $o > $o ).

tff(pred_def_1272,type,
    sP1955: $o > $o ).

tff(pred_def_1273,type,
    sK1956: ( vEBT_VEBT * nat * $o ) > $o ).

tff(pred_def_1274,type,
    sK1957: ( vEBT_VEBT * nat * $o ) > $o ).

tff(pred_def_1275,type,
    sP1972: ( vEBT_VEBT * list(vEBT_VEBT) * product_prod(nat,nat) * $o * nat * vEBT_VEBT ) > $o ).

tff(pred_def_1276,type,
    sP1973: ( vEBT_VEBT * list(vEBT_VEBT) * product_prod(nat,nat) * $o * nat * vEBT_VEBT ) > $o ).

tff(pred_def_1277,type,
    sP1974: ( vEBT_VEBT * list(vEBT_VEBT) * nat * nat * nat * $o * nat * vEBT_VEBT ) > $o ).

tff(pred_def_1278,type,
    sP1975: $o > $o ).

tff(pred_def_1279,type,
    sP1976: $o > $o ).

tff(pred_def_1280,type,
    sP1977: $o > $o ).

tff(pred_def_1281,type,
    sP1978: $o > $o ).

tff(pred_def_1282,type,
    sP1979: ( $o * $o * nat ) > $o ).

tff(pred_def_1283,type,
    sP1980: $o > $o ).

tff(pred_def_1284,type,
    sP1981: $o > $o ).

tff(pred_def_1285,type,
    sK1982: ( vEBT_VEBT * nat * $o ) > $o ).

tff(pred_def_1286,type,
    sK1983: ( vEBT_VEBT * nat * $o ) > $o ).

tff(pred_def_1287,type,
    sP1991: ( vEBT_VEBT * list(vEBT_VEBT) * nat * option(product_prod(nat,nat)) * $o * nat * vEBT_VEBT ) > $o ).

tff(pred_def_1288,type,
    sP1992: $o > $o ).

tff(pred_def_1289,type,
    sP1993: $o > $o ).

tff(pred_def_1290,type,
    sP1994: $o > $o ).

tff(pred_def_1291,type,
    sP1995: $o > $o ).

tff(pred_def_1292,type,
    sP1996: ( $o * $o * nat ) > $o ).

tff(pred_def_1293,type,
    sP1997: $o > $o ).

tff(pred_def_1294,type,
    sP1998: $o > $o ).

tff(pred_def_1295,type,
    sK1999: ( vEBT_VEBT * nat ) > $o ).

tff(pred_def_1296,type,
    sK2000: ( vEBT_VEBT * nat ) > $o ).

tff(pred_def_1297,type,
    sP2005: ( list(vEBT_VEBT) * nat * nat ) > $o ).

tff(pred_def_1298,type,
    sP2006: $o > $o ).

tff(pred_def_1299,type,
    sP2007: $o > $o ).

tff(pred_def_1300,type,
    sP2008: $o > $o ).

tff(pred_def_1301,type,
    sP2009: $o > $o ).

tff(pred_def_1302,type,
    sK2010: ( vEBT_VEBT * nat ) > $o ).

tff(pred_def_1303,type,
    sK2011: ( vEBT_VEBT * nat ) > $o ).

tff(pred_def_1304,type,
    sP2019: ( list(vEBT_VEBT) * nat * nat ) > $o ).

tff(pred_def_1305,type,
    sP2020: $o > $o ).

tff(pred_def_1306,type,
    sP2021: $o > $o ).

tff(pred_def_1307,type,
    sP2022: $o > $o ).

tff(pred_def_1308,type,
    sP2023: $o > $o ).

tff(pred_def_1309,type,
    sK2036: ( vEBT_VEBT * nat ) > $o ).

tff(pred_def_1310,type,
    sK2037: ( vEBT_VEBT * nat ) > $o ).

tff(pred_def_1311,type,
    sP2043: ( list(vEBT_VEBT) * nat * nat * nat * nat ) > $o ).

tff(pred_def_1312,type,
    sP2044: $o > $o ).

tff(pred_def_1313,type,
    sP2045: $o > $o ).

tff(pred_def_1314,type,
    sP2046: $o > $o ).

tff(pred_def_1315,type,
    sP2047: $o > $o ).

tff(pred_def_1316,type,
    sK2048: ( vEBT_VEBT * nat * $o ) > $o ).

tff(pred_def_1317,type,
    sK2049: ( vEBT_VEBT * nat * $o ) > $o ).

tff(pred_def_1318,type,
    sP2064: ( vEBT_VEBT * list(vEBT_VEBT) * nat * nat * $o * nat * vEBT_VEBT ) > $o ).

tff(pred_def_1319,type,
    sP2065: ( vEBT_VEBT * list(vEBT_VEBT) * nat * nat * nat * $o * nat * vEBT_VEBT ) > $o ).

tff(pred_def_1320,type,
    sP2066: ( vEBT_VEBT * list(vEBT_VEBT) * nat * $o * nat * vEBT_VEBT ) > $o ).

tff(pred_def_1321,type,
    sP2067: $o > $o ).

tff(pred_def_1322,type,
    sP2068: $o > $o ).

tff(pred_def_1323,type,
    sP2069: $o > $o ).

tff(pred_def_1324,type,
    sP2070: $o > $o ).

tff(pred_def_1325,type,
    sP2071: $o > $o ).

tff(pred_def_1326,type,
    sK2072: ( vEBT_VEBT * nat ) > $o ).

tff(pred_def_1327,type,
    sK2073: ( vEBT_VEBT * nat ) > $o ).

tff(pred_def_1328,type,
    sP2088: ( vEBT_VEBT * list(vEBT_VEBT) * nat * nat * nat * nat * vEBT_VEBT ) > $o ).

tff(pred_def_1329,type,
    sP2089: ( vEBT_VEBT * list(vEBT_VEBT) * nat * nat * vEBT_VEBT ) > $o ).

tff(pred_def_1330,type,
    sP2090: $o > $o ).

tff(pred_def_1331,type,
    sP2091: $o > $o ).

tff(pred_def_1332,type,
    sP2092: $o > $o ).

tff(pred_def_1333,type,
    sP2093: $o > $o ).

tff(pred_def_1334,type,
    sP2106: ( vEBT_VEBT * list(vEBT_VEBT) * nat * nat * vEBT_VEBT ) > $o ).

tff(pred_def_1335,type,
    sP2200: ( vEBT_VEBT * nat ) > $o ).

tff(pred_def_1336,type,
    sP2202: $o > $o ).

tff(pred_def_1337,type,
    sP2203: $o > $o ).

tff(pred_def_1338,type,
    sK2224: 
      !>[X0: $tType] : ( fun(X0,$o) > $o ) ).

tff(pred_def_1339,type,
    sP2261: ( num * num * num ) > $o ).

tff(pred_def_1340,type,
    sP2262: ( num * num * num ) > $o ).

tff(pred_def_1341,type,
    sP2263: ( num * num * num ) > $o ).

tff(pred_def_1342,type,
    sP2264: ( num * num * num ) > $o ).

tff(pred_def_1343,type,
    sP2265: ( num * num * num ) > $o ).

tff(pred_def_1344,type,
    sP2266: ( num * num * num ) > $o ).

tff(pred_def_1345,type,
    sP2273: ( num * num * num ) > $o ).

tff(pred_def_1346,type,
    sP2474: ( int * product_prod(int,int) * int * int ) > $o ).

tff(pred_def_1347,type,
    sK2628: ( vEBT_VEBT * option(nat) ) > $o ).

tff(pred_def_1348,type,
    sK2629: ( vEBT_VEBT * option(nat) ) > $o ).

tff(pred_def_1349,type,
    sP2638: ( vEBT_VEBT * list(vEBT_VEBT) * nat * nat * nat * option(nat) * vEBT_VEBT ) > $o ).

tff(pred_def_1350,type,
    sP2639: $o > $o ).

tff(pred_def_1351,type,
    sP2640: $o > $o ).

tff(pred_def_1352,type,
    sP2641: $o > $o ).

tff(pred_def_1353,type,
    sP2642: $o > $o ).

tff(pred_def_1354,type,
    sK2643: ( vEBT_VEBT * option(nat) ) > $o ).

tff(pred_def_1355,type,
    sK2644: ( vEBT_VEBT * option(nat) ) > $o ).

tff(pred_def_1356,type,
    sP2653: ( vEBT_VEBT * list(vEBT_VEBT) * nat * nat * nat * option(nat) * vEBT_VEBT ) > $o ).

tff(pred_def_1357,type,
    sP2654: $o > $o ).

tff(pred_def_1358,type,
    sP2655: $o > $o ).

tff(pred_def_1359,type,
    sP2656: $o > $o ).

tff(pred_def_1360,type,
    sP2657: $o > $o ).

tff(pred_def_1361,type,
    sK2662: ( vEBT_VEBT * $o ) > $o ).

tff(pred_def_1362,type,
    sK2663: ( vEBT_VEBT * $o ) > $o ).

tff(pred_def_1363,type,
    sP2671: ( $o * $o * vEBT_VEBT ) > $o ).

tff(pred_def_1364,type,
    sP2672: ( vEBT_VEBT * list(vEBT_VEBT) * nat * $o * vEBT_VEBT ) > $o ).

tff(pred_def_1365,type,
    sP2673: ( vEBT_VEBT * list(vEBT_VEBT) * nat * product_prod(nat,nat) * $o * vEBT_VEBT ) > $o ).

tff(pred_def_1366,type,
    sP2674: $o > $o ).

tff(pred_def_1367,type,
    sP2675: $o > $o ).

tff(pred_def_1368,type,
    sK2679: vEBT_VEBT > $o ).

tff(pred_def_1369,type,
    sK2680: vEBT_VEBT > $o ).

tff(pred_def_1370,type,
    sP2685: $o > $o ).

tff(pred_def_1371,type,
    sP2686: $o > $o ).

tff(pred_def_1372,type,
    sP2687: $o > $o ).

tff(pred_def_1373,type,
    sP2688: $o > $o ).

tff(pred_def_1374,type,
    sP2816: ( option(num) * num * num ) > $o ).

tff(pred_def_1375,type,
    sP2817: ( option(num) * num * num ) > $o ).

tff(pred_def_1376,type,
    sP2818: ( option(num) * num * num ) > $o ).

tff(pred_def_1377,type,
    sP2819: ( option(num) * num * num ) > $o ).

tff(pred_def_1378,type,
    sP2820: ( option(num) * num * num ) > $o ).

tff(pred_def_1379,type,
    sP2821: ( option(num) * num * num ) > $o ).

tff(pred_def_1380,type,
    sP2822: ( option(num) * num * num ) > $o ).

tff(pred_def_1381,type,
    sP2837: ( option(num) * num * num ) > $o ).

tff(pred_def_1382,type,
    sP2838: ( option(num) * num * num ) > $o ).

tff(pred_def_1383,type,
    sP2839: ( option(num) * num * num ) > $o ).

tff(pred_def_1384,type,
    sP2840: ( option(num) * num * num ) > $o ).

tff(pred_def_1385,type,
    sP2841: ( option(num) * num * num ) > $o ).

tff(pred_def_1386,type,
    sP2842: ( option(num) * num * num ) > $o ).

tff(pred_def_1387,type,
    sP2843: ( option(num) * num * num ) > $o ).

tff(pred_def_1388,type,
    sP2856: ( option(num) * num * num ) > $o ).

tff(pred_def_1389,type,
    sP2857: ( option(num) * num * num ) > $o ).

tff(pred_def_1390,type,
    sP2858: ( option(num) * num * num ) > $o ).

tff(pred_def_1391,type,
    sP2859: ( option(num) * num * num ) > $o ).

tff(pred_def_1392,type,
    sP2860: ( option(num) * num * num ) > $o ).

tff(pred_def_1393,type,
    sP2861: ( option(num) * num * num ) > $o ).

tff(pred_def_1394,type,
    sP2870: ( num * option(num) * num ) > $o ).

tff(pred_def_1395,type,
    sP2875: ( $o * $o ) > $o ).

tff(pred_def_1396,type,
    sP2876: ( $o * $o ) > $o ).

tff(pred_def_1397,type,
    sP2877: ( $o * $o ) > $o ).

tff(pred_def_1398,type,
    sP2878: ( $o * $o ) > $o ).

tff(pred_def_1399,type,
    sP2879: ( $o * $o ) > $o ).

tff(pred_def_1400,type,
    sP2880: ( $o * $o ) > $o ).

tff(pred_def_1401,type,
    sP2881: ( $o * $o ) > $o ).

tff(pred_def_1402,type,
    sP2882: ( $o * $o ) > $o ).

tff(pred_def_1403,type,
    sP2883: ( $o * $o ) > $o ).

tff(pred_def_1404,type,
    sP2884: ( $o * $o ) > $o ).

tff(pred_def_1405,type,
    sP2885: ( $o * $o ) > $o ).

tff(pred_def_1406,type,
    sP2886: ( $o * $o ) > $o ).

tff(pred_def_1407,type,
    sP2887: ( $o * $o ) > $o ).

tff(pred_def_1408,type,
    sP2888: ( $o * $o ) > $o ).

tff(pred_def_1409,type,
    sP2889: ( $o * $o ) > $o ).

tff(pred_def_1410,type,
    sP2890: ( $o * $o ) > $o ).

tff(pred_def_1411,type,
    sP2891: ( $o * $o ) > $o ).

tff(pred_def_1412,type,
    sP2892: ( $o * $o ) > $o ).

tff(pred_def_1413,type,
    sP2893: ( $o * $o ) > $o ).

tff(pred_def_1414,type,
    sP2894: ( $o * $o ) > $o ).

tff(pred_def_1415,type,
    sP2895: ( $o * $o ) > $o ).

tff(pred_def_1416,type,
    sP2896: ( $o * $o ) > $o ).

tff(pred_def_1417,type,
    sP2897: ( $o * $o ) > $o ).

tff(pred_def_1418,type,
    sP2898: ( $o * $o ) > $o ).

tff(pred_def_1419,type,
    sP2899: ( $o * $o ) > $o ).

tff(pred_def_1420,type,
    sP2900: ( $o * $o ) > $o ).

tff(pred_def_1421,type,
    sP2901: ( $o * $o ) > $o ).

tff(pred_def_1422,type,
    sP2902: ( $o * $o ) > $o ).

tff(pred_def_1423,type,
    sP2903: ( $o * $o ) > $o ).

tff(pred_def_1424,type,
    sP2904: ( $o * $o ) > $o ).

tff(pred_def_1425,type,
    sP2905: ( $o * $o ) > $o ).

tff(pred_def_1426,type,
    sP3057: ( real * real * nat ) > $o ).

tff(pred_def_1427,type,
    sP3218: 
      !>[X0: $tType] : ( ( X0 * X0 * fun(X0,$o) ) > $o ) ).

tff(pred_def_1428,type,
    sP3227: 
      !>[X0: $tType] : ( ( X0 * X0 * fun(X0,$o) ) > $o ) ).

tff(pred_def_1429,type,
    sK3233: vEBT_VEBT > $o ).

tff(pred_def_1430,type,
    sK3234: vEBT_VEBT > $o ).

tff(pred_def_1431,type,
    sP3235: ( vEBT_VEBT * list(vEBT_VEBT) * nat * option(product_prod(nat,nat)) * $o * nat ) > $o ).

tff(pred_def_1432,type,
    sP3236: $o > $o ).

tff(pred_def_1433,type,
    sP3237: $o > $o ).

tff(pred_def_1434,type,
    sP3241: ( nat * vEBT_VEBT ) > $o ).

tff(pred_def_1435,type,
    sP3265: ( nat * vEBT_VEBT ) > $o ).

tff(pred_def_1436,type,
    sK3271: vEBT_VEBT > $o ).

tff(pred_def_1437,type,
    sK3272: vEBT_VEBT > $o ).

tff(pred_def_1438,type,
    sP3274: ( vEBT_VEBT * list(vEBT_VEBT) * nat ) > $o ).

tff(pred_def_1439,type,
    sP3275: ( vEBT_VEBT * list(vEBT_VEBT) ) > $o ).

tff(pred_def_1440,type,
    sK3283: vEBT_VEBT > $o ).

tff(pred_def_1441,type,
    sK3284: vEBT_VEBT > $o ).

tff(pred_def_1442,type,
    sP3285: $o > $o ).

tff(pred_def_1443,type,
    sP3286: $o > $o ).

tff(pred_def_1444,type,
    sP3287: ( vEBT_VEBT * list(vEBT_VEBT) ) > $o ).

tff(pred_def_1445,type,
    sK3291: ( vEBT_VEBT * nat ) > $o ).

tff(pred_def_1446,type,
    sK3292: ( vEBT_VEBT * nat ) > $o ).

tff(pred_def_1447,type,
    sP3297: ( vEBT_VEBT * list(vEBT_VEBT) * nat * option(product_prod(nat,nat)) * nat ) > $o ).

tff(pred_def_1448,type,
    sP3298: $o > $o ).

tff(pred_def_1449,type,
    sP3299: $o > $o ).

tff(pred_def_1450,type,
    sP3300: $o > $o ).

tff(pred_def_1451,type,
    sP3301: $o > $o ).

tff(pred_def_1452,type,
    sK3306: ( vEBT_VEBT * nat ) > $o ).

tff(pred_def_1453,type,
    sK3307: ( vEBT_VEBT * nat ) > $o ).

tff(pred_def_1454,type,
    sP3312: ( vEBT_VEBT * list(vEBT_VEBT) * nat * option(product_prod(nat,nat)) ) > $o ).

tff(pred_def_1455,type,
    sP3313: $o > $o ).

tff(pred_def_1456,type,
    sP3314: $o > $o ).

tff(pred_def_1457,type,
    sP3315: $o > $o ).

tff(pred_def_1458,type,
    sP3316: $o > $o ).

tff(pred_def_1459,type,
    sK3320: ( vEBT_VEBT * nat * $o ) > $o ).

tff(pred_def_1460,type,
    sK3321: ( vEBT_VEBT * nat * $o ) > $o ).

tff(pred_def_1461,type,
    sP3326: ( vEBT_VEBT * list(vEBT_VEBT) * nat * option(product_prod(nat,nat)) * $o * nat ) > $o ).

tff(pred_def_1462,type,
    sP3327: $o > $o ).

tff(pred_def_1463,type,
    sP3328: $o > $o ).

tff(pred_def_1464,type,
    sP3329: $o > $o ).

tff(pred_def_1465,type,
    sP3330: $o > $o ).

tff(pred_def_1466,type,
    sP3331: $o > $o ).

tff(pred_def_1467,type,
    sP3335: ( nat * vEBT_VEBT ) > $o ).

tff(pred_def_1468,type,
    sP3799: ( option(num) * num * num ) > $o ).

tff(pred_def_1469,type,
    sP3800: ( option(num) * num * num ) > $o ).

tff(pred_def_1470,type,
    sP3801: ( option(num) * num * num ) > $o ).

tff(pred_def_1471,type,
    sP3802: ( option(num) * num * num ) > $o ).

tff(pred_def_1472,type,
    sP3803: ( option(num) * num * num ) > $o ).

tff(pred_def_1473,type,
    sP3804: ( option(num) * num * num ) > $o ).

tff(pred_def_1474,type,
    sP3813: ( num * option(num) * num ) > $o ).

tff(pred_def_1475,type,
    sP3845: ( option(num) * num * num ) > $o ).

tff(pred_def_1476,type,
    sP3846: ( option(num) * num * num ) > $o ).

tff(pred_def_1477,type,
    sP3847: ( option(num) * num * num ) > $o ).

tff(pred_def_1478,type,
    sP3848: ( option(num) * num * num ) > $o ).

tff(pred_def_1479,type,
    sP3849: ( option(num) * num * num ) > $o ).

tff(pred_def_1480,type,
    sP3850: ( option(num) * num * num ) > $o ).

tff(pred_def_1481,type,
    sP3859: ( num * option(num) * num ) > $o ).

tff(pred_def_1482,type,
    sP3864: ( option(num) * num * num ) > $o ).

tff(pred_def_1483,type,
    sP3865: ( option(num) * num * num ) > $o ).

tff(pred_def_1484,type,
    sP3866: ( option(num) * num * num ) > $o ).

tff(pred_def_1485,type,
    sP3867: ( option(num) * num * num ) > $o ).

tff(pred_def_1486,type,
    sP3868: ( option(num) * num * num ) > $o ).

tff(pred_def_1487,type,
    sP3869: ( option(num) * num * num ) > $o ).

tff(pred_def_1488,type,
    sP3878: ( num * option(num) * num ) > $o ).

tff(pred_def_1489,type,
    sP3883: ( num * num * num ) > $o ).

tff(pred_def_1490,type,
    sP3884: ( num * num * num ) > $o ).

tff(pred_def_1491,type,
    sP3885: ( num * num * num ) > $o ).

tff(pred_def_1492,type,
    sP3886: ( num * num * num ) > $o ).

tff(pred_def_1493,type,
    sP3887: ( num * num * num ) > $o ).

tff(pred_def_1494,type,
    sP3888: ( num * num * num ) > $o ).

tff(pred_def_1495,type,
    sP3897: ( num * num * num ) > $o ).

tff(pred_def_1496,type,
    sP4156: ( $o * $o ) > $o ).

tff(pred_def_1497,type,
    sP4157: $o > $o ).

tff(pred_def_1498,type,
    sP4158: $o > $o ).

tff(pred_def_1499,type,
    sK4159: product_unit > $o ).

tff(pred_def_1500,type,
    sK4161: fun(product_unit,$o) > $o ).

tff(pred_def_1501,type,
    sP4186: ( $o * $o ) > $o ).

tff(pred_def_1502,type,
    sP4276: 
      !>[X0: $tType,X1: $tType] : ( ( list(X0) * X0 * X0 * X0 * list(X0) * fun(X0,X1) ) > $o ) ).

tff(pred_def_1503,type,
    sP4283: $o > $o ).

tff(pred_def_1504,type,
    sP4284: 
      !>[X0: $tType] : ( ( list(X0) * X0 * fun(X0,fun(X0,$o)) ) > $o ) ).

tff(pred_def_1505,type,
    sP4373: ( $o * $o ) > $o ).

tff(pred_def_1506,type,
    sK4374: ( vEBT_VEBT * vEBT_VEBT ) > $o ).

tff(pred_def_1507,type,
    sK4375: ( vEBT_VEBT * vEBT_VEBT ) > $o ).

tff(pred_def_1508,type,
    sP4384: ( vEBT_VEBT * list(vEBT_VEBT) * nat * option(product_prod(nat,nat)) * vEBT_VEBT * extended_enat ) > $o ).

tff(pred_def_1509,type,
    sP4385: $o > $o ).

tff(pred_def_1510,type,
    sP4386: $o > $o ).

tff(pred_def_1511,type,
    sP4387: $o > $o ).

tff(pred_def_1512,type,
    sP4388: $o > $o ).

tff(pred_def_1513,type,
    sK4390: product_prod(vEBT_VEBT,extended_enat) > $o ).

tff(pred_def_1514,type,
    sK4391: product_prod(vEBT_VEBT,extended_enat) > $o ).

tff(pred_def_1515,type,
    sK4402: ( vEBT_VEBT * extended_enat * vEBT_VEBT ) > $o ).

tff(pred_def_1516,type,
    sK4403: ( vEBT_VEBT * extended_enat * vEBT_VEBT ) > $o ).

tff(pred_def_1517,type,
    sP4412: ( vEBT_VEBT * list(vEBT_VEBT) * nat * option(product_prod(nat,nat)) * vEBT_VEBT * extended_enat * vEBT_VEBT ) > $o ).

tff(pred_def_1518,type,
    sP4413: $o > $o ).

tff(pred_def_1519,type,
    sP4414: $o > $o ).

tff(pred_def_1520,type,
    sP4415: $o > $o ).

tff(pred_def_1521,type,
    sP4416: $o > $o ).

tff(pred_def_1522,type,
    sP4417: $o > $o ).

tff(pred_def_1523,type,
    sP4418: $o > $o ).

tff(pred_def_1524,type,
    sP4598: ( nat * list(vEBT_VEBT) ) > $o ).

tff(pred_def_1525,type,
    sP4599: ( nat * vEBT_VEBT ) > $o ).

tff(f92,axiom,
    ! [X0: $tType,X1: X0,X2: set(X0)] : member(X0,X1,aa(set(X0),set(X0),aa(X0,fun(set(X0),set(X0)),insert2(X0),X1),X2)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_91_insertI1) ).

tff(f7272,axiom,
    ! [X0: $o,X1: fun($o,$o)] :
      ( member($o,(X0),aa(set($o),set($o),aa($o,fun(set($o),set($o)),insert2($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_7271_Rep__unit__induct) ).

tff(f9124,axiom,
    ! [X0: $tType,X1: X0] :
      ( aa(X0,$o,aTP_Lamp_ai(X0,$o),X1)
    <=> $false ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_9123_ATP_Olambda__943) ).

tff(f13607,plain,
    ! [X0: $o,X1: fun($o,$o)] :
      ( member($o,(X0),aa(set($o),set($o),aa($o,fun(set($o),set($o)),insert2($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,[],[f7272]) ).

tff(f14292,plain,
    ! [X0: $tType,X1: X0] :
      ( aa(X0,$o,aTP_Lamp_ai(X0,$o),X1)
    <=> $false ),
    inference(rectify,[],[f9124]) ).

tff(f21395,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)),insert2($o),$true),bot_bot(set($o)))) ),
    inference(ennf_transformation,[],[f13607]) ).

tff(f21396,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)),insert2($o),$true),bot_bot(set($o)))) ),
    inference(flattening,[],[f21395]) ).

tff(f22990,plain,
    ! [X0: $tType,X2: set(X0),X1: X0] : member(X0,X1,aa(set(X0),set(X0),aa(X0,fun(set(X0),set(X0)),insert2(X0),X1),X2)),
    inference(cnf_transformation,[],[f92]) ).

tff(f43883,plain,
    ! [X1: fun($o,$o)] :
      ( ~ member($o,$true,aa(set($o),set($o),aa($o,fun(set($o),set($o)),insert2($o),$true),bot_bot(set($o))))
      | ( $true = aa($o,$o,X1,aa(product_unit,$o,product_Rep_unit,sK4155(X1))) )
      | ( $true = aa($o,$o,X1,$true) ) ),
    inference(cnf_transformation,[],[f21396]) ).

tff(f47321,plain,
    ! [X0: $tType,X1: X0] : ( aa(X0,$o,aTP_Lamp_ai(X0,$o),X1) != $true ),
    inference(cnf_transformation,[],[f14292]) ).

tff(f70875,definition,
    ( spl4601_427
  <=> member($o,$true,aa(set($o),set($o),aa($o,fun(set($o),set($o)),insert2($o),$true),bot_bot(set($o)))) ),
    introduced(definition,[new_symbols(definition,[spl4601_427])],[avatar_definition]) ).

tff(f70876,plain,
    ( ~ member($o,$true,aa(set($o),set($o),aa($o,fun(set($o),set($o)),insert2($o),$true),bot_bot(set($o))))
    | spl4601_427 ),
    inference(avatar_component_clause,[],[f70875]) ).

tff(f70975,definition,
    ( spl4601_445
  <=> ! [X1: fun($o,$o)] :
        ( ( $true = aa($o,$o,X1,aa(product_unit,$o,product_Rep_unit,sK4155(X1))) )
        | ( $true = aa($o,$o,X1,$true) ) ) ),
    introduced(definition,[new_symbols(definition,[spl4601_445])],[avatar_definition]) ).

tff(f70976,plain,
    ( ! [X1: fun($o,$o)] :
        ( ( $true = aa($o,$o,X1,aa(product_unit,$o,product_Rep_unit,sK4155(X1))) )
        | ( $true = aa($o,$o,X1,$true) ) )
    | ~ spl4601_445 ),
    inference(avatar_component_clause,[],[f70975]) ).

tff(f70977,plain,
    ( spl4601_445
    | ~ spl4601_427 ),
    inference(avatar_split_clause,[],[f43883,f70875,f70975]) ).

tff(f118227,plain,
    ( $false
    | spl4601_427 ),
    inference(forward_subsumption_resolution,[],[f70876,f22990]) ).

tff(f118228,plain,
    spl4601_427,
    inference(avatar_contradiction_clause,[],[f118227]) ).

tff(f118868,plain,
    ( ( $true != $true )
    | ( $true = aa($o,$o,aTP_Lamp_ai($o,$o),$true) )
    | ~ spl4601_445 ),
    inference(superposition,[],[f47321,f70976]) ).

tff(f118901,plain,
    ( ( $true = aa($o,$o,aTP_Lamp_ai($o,$o),$true) )
    | ~ spl4601_445 ),
    inference(trivial_inequality_removal,[],[f118868]) ).

tff(f118926,plain,
    ( $false
    | ~ spl4601_445 ),
    inference(forward_subsumption_resolution,[],[f118901,f47321]) ).

tff(f118927,plain,
    ~ spl4601_445,
    inference(avatar_contradiction_clause,[],[f118926]) ).

cnf(s435,plain,
    ( ~ spl4601_427
    | spl4601_445 ),
    inference(sat_conversion,[],[f70977]) ).

cnf(s7526,plain,
    spl4601_427,
    inference(sat_conversion,[],[f118228]) ).

cnf(s7676,plain,
    ~ spl4601_445,
    inference(sat_conversion,[],[f118927]) ).

cnf(s9293,plain,
    $false,
    inference(rat,[],[s435,s7676,s7526]) ).

tff(f118958,plain,
    $false,
    inference(avatar_sat_refutation,[],[s9293]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : ITP278_4 : TPTP v9.3.1. Bugfixed v9.3.0.
% 0.00/0.07  % Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.12/0.39  % Computer : n017.cluster.edu
% 0.12/0.39  % Model    : x86_64 x86_64
% 0.12/0.39  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.39  % Memory   : 8046.5625MB
% 0.12/0.39  % OS       : Linux 6.8.0-71-generic
% 0.12/0.39  % CPULimit : 300
% 0.12/0.39  % WCLimit  : 300
% 0.12/0.39  % DateTime : Sun Sep 27 12:42:21 UTC 2026
% 0.12/0.39  % CPUTime  : 
% 0.12/0.39  Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.12/0.44  Running first-order model finding
% 0.12/0.44  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
% 20.57/5.41  % (2507491)Will run a generic schedule for satisfiability detection.
% 20.57/5.41  % (2507541)% WARNING: option uhcvi not known.
% 20.57/5.41  % (2507541)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=227148707:i=135531:add=off:rawr=on_2987 on theBenchmark for (2987ds/135531Mi)
% 20.57/5.41  % (2507546)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3412819476:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2987 on theBenchmark for (2987ds/159Mi)
% 20.57/5.41  % (2507540)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=4176783840_2987 on theBenchmark for (2987ds/0Mi)
% 20.57/5.41  % (2507543)dis+10_1_sil=32000:sp=arity:random_seed=2042250806:i=103:fgj=on_2987 on theBenchmark for (2987ds/103Mi)
% 20.57/5.41  % (2507542)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=4281650042:i=88024:add=on:rawr=on_2987 on theBenchmark for (2987ds/88024Mi)
% 20.57/5.41  % (2507544)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=75117965:i=116_2987 on theBenchmark for (2987ds/116Mi)
% 20.57/5.41  % (2507545)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1690288338:i=131_2987 on theBenchmark for (2987ds/131Mi)
% 20.57/5.41  % (2507543)Instruction limit reached! 
% 20.57/5.41  % (2507543)------------------------------
% 20.57/5.41  % (2507543)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.57/5.41  % (2507543)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.57/5.41  % (2507543)CaDiCaL version: 2.1.3
% 20.57/5.41  % (2507543)Termination reason: Instruction limit
% 20.57/5.41  % (2507543)Termination phase: Initialization
% 20.57/5.41  % (2507543)Time elapsed: 0.091 s
% 20.57/5.41  % (2507543)Peak memory usage: 29 MB
% 20.57/5.41  % (2507543)Instructions burned: 104 (million)
% 20.57/5.41  % (2507545)Instruction limit reached! 
% 20.57/5.41  % (2507545)------------------------------
% 20.57/5.41  % (2507545)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.57/5.41  % (2507545)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.57/5.41  % (2507545)CaDiCaL version: 2.1.3
% 20.57/5.41  % (2507545)Termination reason: Instruction limit
% 20.57/5.41  % (2507545)Termination phase: Initialization
% 20.57/5.41  % (2507545)Time elapsed: 0.111 s
% 20.57/5.41  % (2507545)Peak memory usage: 29 MB
% 20.57/5.41  % (2507545)Instructions burned: 132 (million)
% 20.57/5.41  % (2507544)Instruction limit reached! 
% 20.57/5.41  % (2507544)------------------------------
% 20.57/5.41  % (2507544)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.57/5.41  % (2507544)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.57/5.41  % (2507544)CaDiCaL version: 2.1.3
% 20.57/5.41  % (2507544)Termination reason: Instruction limit
% 20.57/5.41  % (2507544)Termination phase: Preprocessing 2
% 20.57/5.41  % (2507544)Time elapsed: 0.121 s
% 20.57/5.41  % (2507544)Peak memory usage: 29 MB
% 20.57/5.41  % (2507544)Instructions burned: 116 (million)
% 20.57/5.41  % (2507554)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=3871888450:i=714:nm=2_2986 on theBenchmark for (2986ds/714Mi)
% 20.57/5.41  % (2507546)Instruction limit reached! 
% 20.57/5.41  % (2507546)------------------------------
% 20.57/5.41  % (2507546)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.57/5.41  % (2507546)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.57/5.41  % (2507546)CaDiCaL version: 2.1.3
% 20.57/5.41  % (2507546)Termination reason: Instruction limit
% 20.57/5.41  % (2507546)Termination phase: Initialization
% 20.57/5.41  % (2507546)Time elapsed: 0.138 s
% 20.57/5.41  % (2507546)Peak memory usage: 30 MB
% 20.57/5.41  % (2507546)Instructions burned: 160 (million)
% 20.57/5.41  % (2507555)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=983446110:i=131:bd=preordered:fsd=on_2985 on theBenchmark for (2985ds/131Mi)
% 20.57/5.41  % (2507557)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=3313522031:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2985 on theBenchmark for (2985ds/684Mi)
% 20.57/5.41  % (2507558)ott-21_1_sil=16000:fs=off:random_seed=498904592:i=180:av=off:fsr=off_2985 on theBenchmark for (2985ds/180Mi)
% 20.57/5.41  % (2507555)Instruction limit reached! 
% 20.57/5.41  % (2507555)------------------------------
% 20.57/5.41  % (2507555)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.57/5.41  % (2507555)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.57/5.41  % (2507555)CaDiCaL version: 2.1.3
% 20.57/5.41  % (2507555)Termination reason: Instruction limit
% 20.57/5.41  % (2507555)Termination phase: Initialization
% 20.57/5.41  % (2507555)Time elapsed: 0.112 s
% 20.57/5.41  % (2507555)Peak memory usage: 29 MB
% 20.57/5.41  % (2507555)Instructions burned: 131 (million)
% 20.57/5.41  % (2507562)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=1381083587:i=477:bd=all_2984 on theBenchmark for (2984ds/477Mi)
% 20.57/5.41  % (2507558)Instruction limit reached! 
% 20.57/5.41  % (2507558)------------------------------
% 20.57/5.41  % (2507558)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.57/5.41  % (2507558)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.57/5.41  % (2507558)CaDiCaL version: 2.1.3
% 20.57/5.41  % (2507558)Termination reason: Instruction limit
% 20.57/5.41  % (2507558)Termination phase: Initialization
% 20.57/5.41  % (2507558)Time elapsed: 0.155 s
% 20.57/5.41  % (2507558)Peak memory usage: 30 MB
% 20.57/5.41  % (2507558)Instructions burned: 180 (million)
% 20.57/5.41  % (2507564)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=2448898058:fmbsr=1.3:i=865:ins=25_2983 on theBenchmark for (2983ds/865Mi)
% 20.57/5.41  % (2507562)Instruction limit reached! 
% 20.57/5.41  % (2507562)------------------------------
% 20.57/5.41  % (2507562)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.57/5.41  % (2507562)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.57/5.41  % (2507562)CaDiCaL version: 2.1.3
% 20.57/5.41  % (2507562)Termination reason: Instruction limit
% 20.57/5.41  % (2507562)Termination phase: Property scanning
% 20.57/5.41  % (2507562)Time elapsed: 0.416 s
% 20.57/5.41  % (2507562)Peak memory usage: 36 MB
% 20.57/5.41  % (2507562)Instructions burned: 477 (million)
% 20.57/5.41  % (2507554)Instruction limit reached! 
% 20.57/5.41  % (2507554)------------------------------
% 20.57/5.41  % (2507554)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.57/5.41  % (2507554)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.57/5.41  % (2507554)CaDiCaL version: 2.1.3
% 20.57/5.41  % (2507554)Termination reason: Instruction limit
% 20.57/5.41  % (2507554)Termination phase: Property scanning
% 20.57/5.41  % (2507554)Time elapsed: 0.600 s
% 20.57/5.41  % (2507554)Peak memory usage: 36 MB
% 20.57/5.41  % (2507554)Instructions burned: 714 (million)
% 20.57/5.41  % (2507557)Instruction limit reached! 
% 20.57/5.41  % (2507557)------------------------------
% 20.57/5.41  % (2507557)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.57/5.41  % (2507557)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.57/5.41  % (2507557)CaDiCaL version: 2.1.3
% 20.57/5.41  % (2507557)Termination reason: Instruction limit
% 20.57/5.41  % (2507557)Termination phase: NewCNF
% 20.57/5.41  % (2507557)Time elapsed: 0.601 s
% 20.57/5.41  % (2507557)Peak memory usage: 39 MB
% 20.57/5.41  % (2507557)Instructions burned: 687 (million)
% 20.57/5.41  % (2507569)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=1086221862:i=889:ins=1_2979 on theBenchmark for (2979ds/889Mi)
% 20.57/5.41  % (2507568)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=18138319:i=1179_2979 on theBenchmark for (2979ds/1179Mi)
% 20.57/5.41  % (2507572)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=527906303:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2979 on theBenchmark for (2979ds/692Mi)
% 20.57/5.41  % (2507564)Instruction limit reached! 
% 20.57/5.41  % (2507564)------------------------------
% 20.57/5.41  % (2507564)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.57/5.41  % (2507564)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.57/5.41  % (2507564)CaDiCaL version: 2.1.3
% 20.57/5.41  % (2507564)Termination reason: Instruction limit
% 20.57/5.41  % (2507564)Termination phase: Preprocessing 1
% 20.57/5.41  % (2507564)Time elapsed: 0.736 s
% 20.57/5.41  % (2507564)Peak memory usage: 37 MB
% 20.57/5.41  % (2507564)Instructions burned: 866 (million)
% 20.57/5.41  % (2507574)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=2565380502:i=879:kws=inv_precedence:fsr=off_2976 on theBenchmark for (2976ds/879Mi)
% 20.57/5.41  % (2507572)Instruction limit reached! 
% 20.57/5.41  % (2507572)------------------------------
% 20.57/5.41  % (2507572)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.57/5.41  % (2507572)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.57/5.41  % (2507572)CaDiCaL version: 2.1.3
% 20.57/5.41  % (2507572)Termination reason: Instruction limit
% 20.57/5.41  % (2507572)Termination phase: NewCNF
% 20.57/5.41  % (2507572)Time elapsed: 0.630 s
% 20.57/5.41  % (2507572)Peak memory usage: 44 MB
% 20.57/5.41  % (2507572)Instructions burned: 693 (million)
% 20.57/5.41  % (2507576)fmb+10_1_sil=64000:random_seed=3273825151:i=22061:nm=2:gsp=on_2972 on theBenchmark for (2972ds/22061Mi)
% 20.57/5.41  % (2507569)Instruction limit reached! 
% 20.57/5.41  % (2507569)------------------------------
% 20.57/5.41  % (2507569)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.57/5.41  % (2507569)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.57/5.41  % (2507569)CaDiCaL version: 2.1.3
% 20.57/5.41  % (2507569)Termination reason: Instruction limit
% 20.57/5.41  % (2507569)Termination phase: Preprocessing 1
% 20.57/5.41  % (2507569)Time elapsed: 0.751 s
% 20.57/5.41  % (2507569)Peak memory usage: 37 MB
% 20.57/5.41  % (2507569)Instructions burned: 890 (million)
% 20.57/5.41  % (2507578)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=2576609754:i=9515:nm=5_2971 on theBenchmark for (2971ds/9515Mi)
% 20.57/5.41  % (2507568)Instruction limit reached! 
% 20.57/5.41  % (2507568)------------------------------
% 20.57/5.41  % (2507568)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.57/5.41  % (2507568)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.57/5.41  % (2507568)CaDiCaL version: 2.1.3
% 20.57/5.41  % (2507568)Termination reason: Instruction limit
% 20.57/5.41  % (2507568)Termination phase: Preprocessing 3
% 20.57/5.41  % (2507568)Time elapsed: 1.021 s
% 20.57/5.41  % (2507568)Peak memory usage: 44 MB
% 20.57/5.41  % (2507568)Instructions burned: 1180 (million)
% 20.57/5.41  % (2507580)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=2780796557:fmbsr=1.7:i=920_2969 on theBenchmark for (2969ds/920Mi)
% 20.57/5.41  % (2507574)Instruction limit reached! 
% 20.57/5.41  % (2507574)------------------------------
% 20.57/5.41  % (2507574)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.57/5.41  % (2507574)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.57/5.41  % (2507574)CaDiCaL version: 2.1.3
% 20.57/5.41  % (2507574)Termination reason: Instruction limit
% 20.57/5.41  % (2507574)Termination phase: NewCNF
% 20.57/5.41  % (2507574)Time elapsed: 0.745 s
% 20.57/5.41  % (2507574)Peak memory usage: 46 MB
% 20.57/5.41  % (2507574)Instructions burned: 879 (million)
% 20.57/5.41  % (2507582)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=2817590551:i=5131_2968 on theBenchmark for (2968ds/5131Mi)
% 20.57/5.41  % (2507580)Instruction limit reached! 
% 20.57/5.41  % (2507580)------------------------------
% 20.57/5.41  % (2507580)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.57/5.41  % (2507580)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.57/5.41  % (2507580)CaDiCaL version: 2.1.3
% 20.57/5.41  % (2507580)Termination reason: Instruction limit
% 20.57/5.41  % (2507580)Termination phase: Preprocessing 1
% 20.57/5.41  % (2507580)Time elapsed: 0.750 s
% 20.57/5.41  % (2507580)Peak memory usage: 37 MB
% 20.57/5.41  % (2507580)Instructions burned: 921 (million)
% 20.57/5.41  % (2507584)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=3057551583:i=1472:ins=7:fdi=8:gsp=on_2961 on theBenchmark for (2961ds/1472Mi)
% 20.57/5.41  % Exception at run slice level
% 20.57/5.41  User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 20.57/5.41  % (2507586)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=4260207601:i=6324_2958 on theBenchmark for (2958ds/6324Mi)
% 20.57/5.41  % (2507541) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2507491-2507541"...
% 20.57/5.41  % (2507541)...printing done.
% 20.57/5.41  % (2507541)Refutation found. Thanks to Tanya!
% 20.57/5.41  % SZS status ContradictoryAxioms for theBenchmark
% 20.57/5.41  % SZS output start Proof for theBenchmark
% See solution above
% 20.57/5.46  % (2507541)------------------------------
% 20.57/5.46  % (2507541)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.57/5.46  % (2507541)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.57/5.46  % (2507541)CaDiCaL version: 2.1.3
% 20.57/5.46  % (2507541)Termination reason: Refutation
% 20.57/5.46  % (2507541)Time elapsed: 3.621 s
% 20.57/5.46  % (2507541)Peak memory usage: 90 MB
% 20.57/5.46  % (2507541)Instructions burned: 8555 (million)
% 20.57/5.46  % (2507491)Success in time 4.977 s
% 20.57/5.46  % Vampire exiting
%------------------------------------------------------------------------------