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Vampire-SAT---5.0.1.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---5.0.1
% Problem  : ITP236_4 : TPTP v9.3.1. Bugfixed v9.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT

% Computer : n011.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 11:37:52 AM UTC 2026

% Result   : Theorem 14.74s 3.56s
% Output   : Refutation 14.74s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   25 (  15 unt;   0 typ;   2 def)
%            Number of atoms       :   36 (   5 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   26 (  15   ~;   7   |;   0   &)
%                                         (   2 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   2 avg)
%            Maximal term depth    :    5 (   2 avg)
%            Number of FOOLs       :    5 (   5 fml;   0 var)
%            Number of types       :   13 (  12 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of predicates  :  595 ( 592 usr;   5 prp; 0-9 aty)
%            Number of functors    : 4489 (4489 usr; 110 con; 0-10 aty)
%            Number of variables   :    9 (   0 sgn   7   !;   2   ?;   9   :)

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

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

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

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

tff(type_def_9,type,
    product_prod: ( $tType * $tType ) > $tType ).

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

tff(type_def_11,type,
    complex: $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,
    real: $tType ).

tff(type_def_16,type,
    list: $tType > $tType ).

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

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

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

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

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

tff(type_def_22,type,
    itself: $tType > $tType ).

tff(type_def_23,type,
    fun: ( $tType * $tType ) > $tType ).

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

tff(func_def_947,type,
    aTP_Lamp_xh: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_948,type,
    aTP_Lamp_xi: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_949,type,
    aTP_Lamp_xj: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_950,type,
    aTP_Lamp_xk: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_951,type,
    aTP_Lamp_xl: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_952,type,
    aTP_Lamp_xm: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_953,type,
    aTP_Lamp_xn: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_954,type,
    aTP_Lamp_xo: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_955,type,
    aTP_Lamp_xp: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_956,type,
    aTP_Lamp_xq: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_957,type,
    aTP_Lamp_xr: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_958,type,
    aTP_Lamp_xs: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_959,type,
    aTP_Lamp_xt: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_960,type,
    aTP_Lamp_xu: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_961,type,
    aTP_Lamp_xv: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

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

tff(func_def_963,type,
    aTP_Lamp_xx: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_964,type,
    aTP_Lamp_xy: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_965,type,
    aTP_Lamp_xz: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_966,type,
    aTP_Lamp_ya: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_967,type,
    aTP_Lamp_yb: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_968,type,
    aTP_Lamp_yc: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_969,type,
    aTP_Lamp_yd: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_970,type,
    aTP_Lamp_ye: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_971,type,
    aTP_Lamp_yf: 
      !>[X0: $tType,X1: $tType] : fun(X0,X1) ).

tff(func_def_972,type,
    aTP_Lamp_yg: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_973,type,
    aTP_Lamp_yh: 
      !>[X0: $tType,X1: $tType] : fun(X0,X1) ).

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

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

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

tff(func_def_977,type,
    aTP_Lamp_yl: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_978,type,
    aTP_Lamp_ym: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_979,type,
    aTP_Lamp_yn: 
      !>[X0: $tType,X1: $tType] : fun(X0,X1) ).

tff(func_def_980,type,
    aTP_Lamp_yo: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_981,type,
    aTP_Lamp_yp: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_982,type,
    aTP_Lamp_yq: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_983,type,
    aTP_Lamp_yr: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_984,type,
    aTP_Lamp_ys: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_985,type,
    aTP_Lamp_yt: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_986,type,
    aTP_Lamp_yu: 
      !>[X0: $tType,X1: $tType] : fun(X0,X1) ).

tff(func_def_987,type,
    aTP_Lamp_yv: 
      !>[X0: $tType,X1: $tType] : fun(X0,X1) ).

tff(func_def_988,type,
    aTP_Lamp_yw: 
      !>[X0: $tType,X1: $tType] : fun(X0,X1) ).

tff(func_def_989,type,
    aTP_Lamp_yx: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_990,type,
    aTP_Lamp_yy: 
      !>[X0: $tType,X1: $tType] : fun(X0,X1) ).

tff(func_def_991,type,
    aTP_Lamp_yz: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_992,type,
    aTP_Lamp_za: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_993,type,
    aTP_Lamp_zb: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_994,type,
    aTP_Lamp_zc: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_995,type,
    aTP_Lamp_zd: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_996,type,
    aTP_Lamp_ze: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_997,type,
    aTP_Lamp_zf: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_998,type,
    aTP_Lamp_zg: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_999,type,
    aTP_Lamp_zh: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1000,type,
    aTP_Lamp_zi: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1001,type,
    aTP_Lamp_zj: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1002,type,
    aTP_Lamp_zk: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1003,type,
    aTP_Lamp_zl: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1004,type,
    aTP_Lamp_zm: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1005,type,
    aTP_Lamp_zn: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1006,type,
    aTP_Lamp_zo: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1007,type,
    aTP_Lamp_zp: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1008,type,
    aTP_Lamp_zq: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1009,type,
    aTP_Lamp_zr: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1010,type,
    aTP_Lamp_zs: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1011,type,
    aTP_Lamp_zt: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1012,type,
    aTP_Lamp_zu: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1013,type,
    aTP_Lamp_zv: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1014,type,
    aTP_Lamp_zw: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1015,type,
    aTP_Lamp_zx: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1016,type,
    aTP_Lamp_zy: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1017,type,
    aTP_Lamp_zz: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1018,type,
    archimedean_ceiling: 
      !>[X0: $tType] : ( X0 > int ) ).

tff(func_def_1019,type,
    archim6421214686448440834_floor: 
      !>[X0: $tType] : ( X0 > int ) ).

tff(func_def_1020,type,
    archimedean_frac: 
      !>[X0: $tType] : ( X0 > X0 ) ).

tff(func_def_1021,type,
    archimedean_round: 
      !>[X0: $tType] : ( X0 > int ) ).

tff(func_def_1022,type,
    bNF_Ca8665028551170535155natLeq: set(product_prod(nat,nat)) ).

tff(func_def_1023,type,
    bNF_Ca8459412986667044542atLess: set(product_prod(nat,nat)) ).

tff(func_def_1024,type,
    bNF_Gr: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,X1) ) > set(product_prod(X0,X1)) ) ).

tff(func_def_1025,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_1026,type,
    bNF_Wellorder_Func: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * set(X1) ) > set(fun(X0,X1)) ) ).

tff(func_def_1027,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_1028,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_1029,type,
    bNF_We1388413361240627857o_max2: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * X0 * X0 ) > X0 ) ).

tff(func_def_1030,type,
    basic_BNF_size_prod: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,nat) * fun(X1,nat) * product_prod(X0,X1) ) > nat ) ).

tff(func_def_1031,type,
    binomial: nat > fun(nat,nat) ).

tff(func_def_1032,type,
    gbinomial: 
      !>[X0: $tType] : ( X0 > fun(nat,X0) ) ).

tff(func_def_1033,type,
    bit_and_int_rel: fun(product_prod(int,int),fun(product_prod(int,int),$o)) ).

tff(func_def_1034,type,
    bit_and_not_num: ( num * num ) > option(num) ).

tff(func_def_1035,type,
    bit_concat_bit: ( nat * int * int ) > int ).

tff(func_def_1036,type,
    bit_ri4277139882892585799ns_not: 
      !>[X0: $tType] : fun(X0,X0) ).

tff(func_def_1037,type,
    bit_ri4674362597316999326ke_bit: 
      !>[X0: $tType] : ( nat > fun(X0,X0) ) ).

tff(func_def_1038,type,
    bit_se5824344872417868541ns_and: 
      !>[X0: $tType] : fun(X0,fun(X0,X0)) ).

tff(func_def_1039,type,
    bit_se4197421643247451524op_bit: 
      !>[X0: $tType] : ( nat > fun(X0,X0) ) ).

tff(func_def_1040,type,
    bit_se8732182000553998342ip_bit: 
      !>[X0: $tType] : ( ( nat * X0 ) > X0 ) ).

tff(func_def_1041,type,
    bit_se2239418461657761734s_mask: 
      !>[X0: $tType] : ( nat > X0 ) ).

tff(func_def_1042,type,
    bit_se1065995026697491101ons_or: 
      !>[X0: $tType] : fun(X0,fun(X0,X0)) ).

tff(func_def_1043,type,
    bit_se4730199178511100633sh_bit: 
      !>[X0: $tType] : ( nat > fun(X0,X0) ) ).

tff(func_def_1044,type,
    bit_se5668285175392031749et_bit: 
      !>[X0: $tType] : ( ( nat * X0 ) > X0 ) ).

tff(func_def_1045,type,
    bit_se2584673776208193580ke_bit: 
      !>[X0: $tType] : ( nat > fun(X0,X0) ) ).

tff(func_def_1046,type,
    bit_se2638667681897837118et_bit: 
      !>[X0: $tType] : ( ( nat * X0 ) > X0 ) ).

tff(func_def_1047,type,
    bit_se5824344971392196577ns_xor: 
      !>[X0: $tType] : fun(X0,fun(X0,X0)) ).

tff(func_def_1048,type,
    bit_se5641148757651400278ts_bit: 
      !>[X0: $tType] : ( X0 > fun(nat,$o) ) ).

tff(func_def_1049,type,
    bit_take_bit_num: ( nat * num ) > option(num) ).

tff(func_def_1050,type,
    bit_un7362597486090784418nd_num: ( num * num ) > option(num) ).

tff(func_def_1051,type,
    bit_un2480387367778600638or_num: ( num * num ) > option(num) ).

tff(func_def_1052,type,
    code_bit_cut_integer: code_integer > product_prod(code_integer,$o) ).

tff(func_def_1053,type,
    code_divmod_abs: ( code_integer * code_integer ) > product_prod(code_integer,code_integer) ).

tff(func_def_1054,type,
    code_divmod_integer: ( code_integer * code_integer ) > product_prod(code_integer,code_integer) ).

tff(func_def_1055,type,
    code_int_of_integer: code_integer > int ).

tff(func_def_1056,type,
    code_integer_of_int: int > code_integer ).

tff(func_def_1057,type,
    code_nat_of_integer: code_integer > nat ).

tff(func_def_1058,type,
    complete_Inf_Inf: 
      !>[X0: $tType] : fun(set(X0),X0) ).

tff(func_def_1059,type,
    complete_Sup_Sup: 
      !>[X0: $tType] : fun(set(X0),X0) ).

tff(func_def_1060,type,
    arg: complex > real ).

tff(func_def_1061,type,
    cis: real > complex ).

tff(func_def_1062,type,
    complex2: ( real * real ) > complex ).

tff(func_def_1063,type,
    countable_to_nat_on: 
      !>[X0: $tType] : ( set(X0) > fun(X0,nat) ) ).

tff(func_def_1064,type,
    adjust_div: product_prod(int,int) > int ).

tff(func_def_1065,type,
    divmod_nat: ( nat * nat ) > product_prod(nat,nat) ).

tff(func_def_1066,type,
    unique8689654367752047608divmod: 
      !>[X0: $tType] : ( ( num * num ) > product_prod(X0,X0) ) ).

tff(func_def_1067,type,
    unique1321980374590559556d_step: 
      !>[X0: $tType] : ( ( num * product_prod(X0,X0) ) > product_prod(X0,X0) ) ).

tff(func_def_1068,type,
    comm_s3205402744901411588hammer: 
      !>[X0: $tType] : ( ( X0 * nat ) > X0 ) ).

tff(func_def_1069,type,
    semiring_char_0_fact: 
      !>[X0: $tType] : ( nat > X0 ) ).

tff(func_def_1070,type,
    inverse_inverse: 
      !>[X0: $tType] : fun(X0,X0) ).

tff(func_def_1071,type,
    at_bot: 
      !>[X0: $tType] : filter(X0) ).

tff(func_def_1072,type,
    at_top: 
      !>[X0: $tType] : filter(X0) ).

tff(func_def_1073,type,
    filtercomap: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * filter(X1) ) > filter(X0) ) ).

tff(func_def_1074,type,
    filtermap: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * filter(X0) ) > filter(X1) ) ).

tff(func_def_1075,type,
    finite5375528669736107172at_top: 
      !>[X0: $tType] : ( set(X0) > filter(set(X0)) ) ).

tff(func_def_1076,type,
    map_filter_on: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,X1) * filter(X0) ) > filter(X1) ) ).

tff(func_def_1077,type,
    principal: 
      !>[X0: $tType] : ( set(X0) > filter(X0) ) ).

tff(func_def_1078,type,
    prod_filter: 
      !>[X0: $tType,X1: $tType] : ( ( filter(X0) * filter(X1) ) > filter(product_prod(X0,X1)) ) ).

tff(func_def_1079,type,
    finite_Fpow: 
      !>[X0: $tType] : ( set(X0) > set(set(X0)) ) ).

tff(func_def_1080,type,
    finite_card: 
      !>[X0: $tType] : fun(set(X0),nat) ).

tff(func_def_1081,type,
    finite_finite2: 
      !>[X0: $tType] : fun(set(X0),$o) ).

tff(func_def_1082,type,
    finite_fold: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,fun(X1,X1)) * X1 * set(X0) ) > X1 ) ).

tff(func_def_1083,type,
    finite_folding_F: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,fun(X1,X1)) * X1 ) > fun(set(X0),X1) ) ).

tff(func_def_1084,type,
    comp: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( fun(X0,X1) > fun(fun(X2,X0),fun(X2,X1)) ) ).

tff(func_def_1085,type,
    fun_upd: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * X0 * X1 ) > fun(X0,X1) ) ).

tff(func_def_1086,type,
    id: 
      !>[X0: $tType] : fun(X0,X0) ).

tff(func_def_1087,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_1088,type,
    the_inv_into: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,X1) * X1 ) > X0 ) ).

tff(func_def_1089,type,
    fun_max_strict: set(product_prod(set(product_prod(nat,nat)),set(product_prod(nat,nat)))) ).

tff(func_def_1090,type,
    fun_max_weak: set(product_prod(set(product_prod(nat,nat)),set(product_prod(nat,nat)))) ).

tff(func_def_1091,type,
    fun_min_strict: set(product_prod(set(product_prod(nat,nat)),set(product_prod(nat,nat)))) ).

tff(func_def_1092,type,
    fun_min_weak: set(product_prod(set(product_prod(nat,nat)),set(product_prod(nat,nat)))) ).

tff(func_def_1093,type,
    fun_pair_leq: set(product_prod(product_prod(nat,nat),product_prod(nat,nat))) ).

tff(func_def_1094,type,
    fun_pair_less: set(product_prod(product_prod(nat,nat),product_prod(nat,nat))) ).

tff(func_def_1095,type,
    gcd_Gcd: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_1096,type,
    bezw: ( nat * nat ) > product_prod(int,int) ).

tff(func_def_1097,type,
    bezw_rel: fun(product_prod(nat,nat),fun(product_prod(nat,nat),$o)) ).

tff(func_def_1098,type,
    gcd_gcd: 
      !>[X0: $tType] : fun(X0,fun(X0,X0)) ).

tff(func_def_1099,type,
    gcd_nat_rel: fun(product_prod(nat,nat),fun(product_prod(nat,nat),$o)) ).

tff(func_def_1100,type,
    semiri4206861660011772517g_char: 
      !>[X0: $tType] : ( itself(X0) > nat ) ).

tff(func_def_1101,type,
    abs_abs: 
      !>[X0: $tType] : fun(X0,X0) ).

tff(func_def_1102,type,
    minus_minus: 
      !>[X0: $tType] : fun(X0,fun(X0,X0)) ).

tff(func_def_1103,type,
    one_one: 
      !>[X0: $tType] : X0 ).

tff(func_def_1104,type,
    plus_plus: 
      !>[X0: $tType] : fun(X0,fun(X0,X0)) ).

tff(func_def_1105,type,
    sgn_sgn: 
      !>[X0: $tType] : fun(X0,X0) ).

tff(func_def_1106,type,
    times_times: 
      !>[X0: $tType] : fun(X0,fun(X0,X0)) ).

tff(func_def_1107,type,
    uminus_uminus: 
      !>[X0: $tType] : fun(X0,X0) ).

tff(func_def_1108,type,
    zero_zero: 
      !>[X0: $tType] : X0 ).

tff(func_def_1109,type,
    groups7311177749621191930dd_sum: 
      !>[X0: $tType,X1: $tType] : fun(fun(X0,X1),fun(set(X0),X1)) ).

tff(func_def_1110,type,
    groups1027152243600224163dd_sum: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * set(X0) ) > X1 ) ).

tff(func_def_1111,type,
    groups7121269368397514597t_prod: 
      !>[X0: $tType,X1: $tType] : fun(fun(X0,X1),fun(set(X0),X1)) ).

tff(func_def_1112,type,
    groups1962203154675924110t_prod: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * set(X0) ) > X1 ) ).

tff(func_def_1113,type,
    groups4207007520872428315er_sum: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * X1 * list(X0) ) > X1 ) ).

tff(func_def_1114,type,
    groups8242544230860333062m_list: 
      !>[X0: $tType] : ( list(X0) > X0 ) ).

tff(func_def_1115,type,
    the: 
      !>[X0: $tType] : ( fun(X0,$o) > X0 ) ).

tff(func_def_1116,type,
    undefined: 
      !>[X0: $tType] : X0 ).

tff(func_def_1117,type,
    abs_Integ: fun(product_prod(nat,nat),int) ).

tff(func_def_1118,type,
    rep_Integ: fun(int,product_prod(nat,nat)) ).

tff(func_def_1119,type,
    int_ge_less_than: int > set(product_prod(int,int)) ).

tff(func_def_1120,type,
    int_ge_less_than2: int > set(product_prod(int,int)) ).

tff(func_def_1121,type,
    nat2: fun(int,nat) ).

tff(func_def_1122,type,
    power_int: 
      !>[X0: $tType] : ( ( X0 * int ) > X0 ) ).

tff(func_def_1123,type,
    ring_1_Ints: 
      !>[X0: $tType] : set(X0) ).

tff(func_def_1124,type,
    ring_1_of_int: 
      !>[X0: $tType] : fun(int,X0) ).

tff(func_def_1125,type,
    inf_inf: 
      !>[X0: $tType] : fun(X0,fun(X0,X0)) ).

tff(func_def_1126,type,
    sup_sup: 
      !>[X0: $tType] : fun(X0,fun(X0,X0)) ).

tff(func_def_1127,type,
    lattices_Max: 
      !>[X0: $tType] : ( fun(X0,fun(X0,$o)) > fun(set(X0),X0) ) ).

tff(func_def_1128,type,
    lattices_Min: 
      !>[X0: $tType] : ( fun(X0,fun(X0,$o)) > fun(set(X0),X0) ) ).

tff(func_def_1129,type,
    lattic643756798349783984er_Max: 
      !>[X0: $tType] : fun(set(X0),X0) ).

tff(func_def_1130,type,
    lattic643756798350308766er_Min: 
      !>[X0: $tType] : fun(set(X0),X0) ).

tff(func_def_1131,type,
    lattic7623131987881927897min_on: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * set(X0) ) > X0 ) ).

tff(func_def_1132,type,
    lattic7752659483105999362nf_fin: 
      !>[X0: $tType] : fun(set(X0),X0) ).

tff(func_def_1133,type,
    lattic5882676163264333800up_fin: 
      !>[X0: $tType] : fun(set(X0),X0) ).

tff(func_def_1134,type,
    at_infinity: 
      !>[X0: $tType] : filter(X0) ).

tff(func_def_1135,type,
    append: 
      !>[X0: $tType] : fun(list(X0),fun(list(X0),list(X0))) ).

tff(func_def_1136,type,
    arg_min_list: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * list(X0) ) > X0 ) ).

tff(func_def_1137,type,
    bind: 
      !>[X0: $tType,X1: $tType] : ( ( list(X0) * fun(X0,list(X1)) ) > list(X1) ) ).

tff(func_def_1138,type,
    concat: 
      !>[X0: $tType] : ( list(list(X0)) > list(X0) ) ).

tff(func_def_1139,type,
    count_list: 
      !>[X0: $tType] : ( list(X0) > fun(X0,nat) ) ).

tff(func_def_1140,type,
    drop: 
      !>[X0: $tType] : ( ( nat * list(X0) ) > list(X0) ) ).

tff(func_def_1141,type,
    dropWhile: 
      !>[X0: $tType] : ( ( fun(X0,$o) * list(X0) ) > list(X0) ) ).

tff(func_def_1142,type,
    enumerate: 
      !>[X0: $tType] : ( ( nat * list(X0) ) > list(product_prod(nat,X0)) ) ).

tff(func_def_1143,type,
    extract: 
      !>[X0: $tType] : ( ( fun(X0,$o) * list(X0) ) > option(product_prod(list(X0),product_prod(X0,list(X0)))) ) ).

tff(func_def_1144,type,
    filter2: 
      !>[X0: $tType] : ( fun(X0,$o) > fun(list(X0),list(X0)) ) ).

tff(func_def_1145,type,
    find: 
      !>[X0: $tType] : ( ( fun(X0,$o) * list(X0) ) > option(X0) ) ).

tff(func_def_1146,type,
    foldl: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,fun(X1,X0)) * X0 * list(X1) ) > X0 ) ).

tff(func_def_1147,type,
    foldr: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,fun(X1,X1)) * list(X0) ) > fun(X1,X1) ) ).

tff(func_def_1148,type,
    gen_length: 
      !>[X0: $tType] : ( nat > fun(list(X0),nat) ) ).

tff(func_def_1149,type,
    lenlex: 
      !>[X0: $tType] : ( set(product_prod(X0,X0)) > set(product_prod(list(X0),list(X0))) ) ).

tff(func_def_1150,type,
    lex: 
      !>[X0: $tType] : ( set(product_prod(X0,X0)) > set(product_prod(list(X0),list(X0))) ) ).

tff(func_def_1151,type,
    lexn: 
      !>[X0: $tType] : ( set(product_prod(X0,X0)) > fun(nat,set(product_prod(list(X0),list(X0)))) ) ).

tff(func_def_1152,type,
    lexord: 
      !>[X0: $tType] : ( set(product_prod(X0,X0)) > set(product_prod(list(X0),list(X0))) ) ).

tff(func_def_1153,type,
    insort_key: 
      !>[X0: $tType,X1: $tType] : ( fun(X0,fun(X0,$o)) > fun(fun(X1,X0),fun(X1,fun(list(X1),list(X1)))) ) ).

tff(func_def_1154,type,
    sorted8670434370408473282of_set: 
      !>[X0: $tType,X1: $tType] : ( fun(X0,fun(X0,$o)) > fun(fun(X1,X0),fun(set(X1),list(X1))) ) ).

tff(func_def_1155,type,
    linorder_insort_key: 
      !>[X0: $tType,X1: $tType] : ( fun(X0,X1) > fun(X0,fun(list(X0),list(X0))) ) ).

tff(func_def_1156,type,
    linord144544945434240204of_set: 
      !>[X0: $tType,X1: $tType] : ( fun(X0,X1) > fun(set(X0),list(X0)) ) ).

tff(func_def_1157,type,
    linord4507533701916653071of_set: 
      !>[X0: $tType] : fun(set(X0),list(X0)) ).

tff(func_def_1158,type,
    cons: 
      !>[X0: $tType] : ( X0 > fun(list(X0),list(X0)) ) ).

tff(func_def_1159,type,
    nil: 
      !>[X0: $tType] : list(X0) ).

tff(func_def_1160,type,
    case_list: 
      !>[X0: $tType,X1: $tType] : ( ( X0 * fun(X1,fun(list(X1),X0)) ) > fun(list(X1),X0) ) ).

tff(func_def_1161,type,
    hd: 
      !>[X0: $tType] : fun(list(X0),X0) ).

tff(func_def_1162,type,
    map: 
      !>[X0: $tType,X1: $tType] : ( fun(X0,X1) > fun(list(X0),list(X1)) ) ).

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) > fun(list(X0),nat) ) ).

tff(func_def_1165,type,
    tl: 
      !>[X0: $tType] : fun(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,
    listset: 
      !>[X0: $tType] : ( list(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,
    min_list: 
      !>[X0: $tType] : ( list(X0) > X0 ) ).

tff(func_def_1174,type,
    min_list_rel: 
      !>[X0: $tType] : fun(list(X0),fun(list(X0),$o)) ).

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,
    remdups_adj_rel: 
      !>[X0: $tType] : fun(list(X0),fun(list(X0),$o)) ).

tff(func_def_1184,type,
    remove1: 
      !>[X0: $tType] : ( ( X0 * list(X0) ) > list(X0) ) ).

tff(func_def_1185,type,
    removeAll: 
      !>[X0: $tType] : ( X0 > fun(list(X0),list(X0)) ) ).

tff(func_def_1186,type,
    replicate: 
      !>[X0: $tType] : ( ( nat * X0 ) > list(X0) ) ).

tff(func_def_1187,type,
    rev: 
      !>[X0: $tType] : fun(list(X0),list(X0)) ).

tff(func_def_1188,type,
    rotate: 
      !>[X0: $tType] : ( nat > fun(list(X0),list(X0)) ) ).

tff(func_def_1189,type,
    rotate1: 
      !>[X0: $tType] : fun(list(X0),list(X0)) ).

tff(func_def_1190,type,
    set_Cons: 
      !>[X0: $tType] : ( ( set(X0) * set(list(X0)) ) > set(list(X0)) ) ).

tff(func_def_1191,type,
    shuffles: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) ) > set(list(X0)) ) ).

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,
    transpose_rel: 
      !>[X0: $tType] : fun(list(list(X0)),fun(list(list(X0)),$o)) ).

tff(func_def_1197,type,
    union: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) ) > list(X0) ) ).

tff(func_def_1198,type,
    upt: ( nat * nat ) > list(nat) ).

tff(func_def_1199,type,
    upto: ( int * int ) > list(int) ).

tff(func_def_1200,type,
    upto_aux: ( int * int * list(int) ) > list(int) ).

tff(func_def_1201,type,
    upto_rel: fun(product_prod(int,int),fun(product_prod(int,int),$o)) ).

tff(func_def_1202,type,
    zip: 
      !>[X0: $tType,X1: $tType] : ( ( list(X0) * list(X1) ) > list(product_prod(X0,X1)) ) ).

tff(func_def_1203,type,
    dom: 
      !>[X0: $tType,X1: $tType] : ( fun(X0,option(X1)) > set(X0) ) ).

tff(func_def_1204,type,
    graph: 
      !>[X0: $tType,X1: $tType] : ( fun(X0,option(X1)) > set(product_prod(X0,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_encode: list(nat) > nat ).

tff(func_def_1221,type,
    nat_list_encode_rel: fun(list(nat),fun(list(nat),$o)) ).

tff(func_def_1222,type,
    nat_prod_decode_aux: ( nat * nat ) > product_prod(nat,nat) ).

tff(func_def_1223,type,
    nat_pr5047031295181774490ux_rel: fun(product_prod(nat,nat),fun(product_prod(nat,nat),$o)) ).

tff(func_def_1224,type,
    nat_prod_encode: fun(product_prod(nat,nat),nat) ).

tff(func_def_1225,type,
    nat_set_decode: nat > set(nat) ).

tff(func_def_1226,type,
    nat_set_encode: fun(set(nat),nat) ).

tff(func_def_1227,type,
    nat_triangle: nat > nat ).

tff(func_def_1228,type,
    root: nat > fun(real,real) ).

tff(func_def_1229,type,
    sqrt: fun(real,real) ).

tff(func_def_1230,type,
    bitM: num > num ).

tff(func_def_1231,type,
    inc: num > num ).

tff(func_def_1232,type,
    neg_numeral_dbl_dec: 
      !>[X0: $tType] : ( X0 > X0 ) ).

tff(func_def_1233,type,
    neg_numeral_sub: 
      !>[X0: $tType] : ( ( num * num ) > X0 ) ).

tff(func_def_1234,type,
    bit0: fun(num,num) ).

tff(func_def_1235,type,
    bit1: fun(num,num) ).

tff(func_def_1236,type,
    one2: num ).

tff(func_def_1237,type,
    case_num: 
      !>[X0: $tType] : ( ( X0 * fun(num,X0) * fun(num,X0) * num ) > X0 ) ).

tff(func_def_1238,type,
    size_num: num > nat ).

tff(func_def_1239,type,
    num_of_nat: nat > num ).

tff(func_def_1240,type,
    numeral_numeral: 
      !>[X0: $tType] : fun(num,X0) ).

tff(func_def_1241,type,
    pow: ( num * num ) > num ).

tff(func_def_1242,type,
    pred_numeral: num > nat ).

tff(func_def_1243,type,
    none: 
      !>[X0: $tType] : option(X0) ).

tff(func_def_1244,type,
    some: 
      !>[X0: $tType] : fun(X0,option(X0)) ).

tff(func_def_1245,type,
    case_option: 
      !>[X0: $tType,X1: $tType] : ( ( X0 * fun(X1,X0) * option(X1) ) > X0 ) ).

tff(func_def_1246,type,
    map_option: 
      !>[X0: $tType,X1: $tType] : ( fun(X0,X1) > fun(option(X0),option(X1)) ) ).

tff(func_def_1247,type,
    rec_option: 
      !>[X0: $tType,X1: $tType] : ( ( X0 * fun(X1,X0) ) > fun(option(X1),X0) ) ).

tff(func_def_1248,type,
    size_option: 
      !>[X0: $tType] : ( fun(X0,nat) > fun(option(X0),nat) ) ).

tff(func_def_1249,type,
    the2: 
      !>[X0: $tType] : fun(option(X0),X0) ).

tff(func_def_1250,type,
    these: 
      !>[X0: $tType] : ( set(option(X0)) > set(X0) ) ).

tff(func_def_1251,type,
    order_532582986084564980_cclfp: 
      !>[X0: $tType] : ( fun(X0,X0) > X0 ) ).

tff(func_def_1252,type,
    order_Above: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * set(X0) ) > set(X0) ) ).

tff(func_def_1253,type,
    order_Under: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * set(X0) ) > set(X0) ) ).

tff(func_def_1254,type,
    order_UnderS: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * set(X0) ) > set(X0) ) ).

tff(func_def_1255,type,
    order_aboveS: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * X0 ) > set(X0) ) ).

tff(func_def_1256,type,
    order_under: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * X0 ) > set(X0) ) ).

tff(func_def_1257,type,
    order_underS: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * X0 ) > set(X0) ) ).

tff(func_def_1258,type,
    bot_bot: 
      !>[X0: $tType] : X0 ).

tff(func_def_1259,type,
    least: 
      !>[X0: $tType] : ( fun(X0,fun(X0,$o)) > fun(fun(X0,$o),X0) ) ).

tff(func_def_1260,type,
    max: 
      !>[X0: $tType] : ( fun(X0,fun(X0,$o)) > fun(X0,fun(X0,X0)) ) ).

tff(func_def_1261,type,
    min: 
      !>[X0: $tType] : ( fun(X0,fun(X0,$o)) > fun(X0,fun(X0,X0)) ) ).

tff(func_def_1262,type,
    ord_less: 
      !>[X0: $tType] : fun(X0,fun(X0,$o)) ).

tff(func_def_1263,type,
    ord_less_eq: 
      !>[X0: $tType] : fun(X0,fun(X0,$o)) ).

tff(func_def_1264,type,
    ord_max: 
      !>[X0: $tType] : fun(X0,fun(X0,X0)) ).

tff(func_def_1265,type,
    ord_min: 
      !>[X0: $tType] : fun(X0,fun(X0,X0)) ).

tff(func_def_1266,type,
    order_Greatest: 
      !>[X0: $tType] : ( fun(X0,$o) > X0 ) ).

tff(func_def_1267,type,
    top_top: 
      !>[X0: $tType] : X0 ).

tff(func_def_1268,type,
    partial_flat_lub: 
      !>[X0: $tType] : ( ( X0 * set(X0) ) > X0 ) ).

tff(func_def_1269,type,
    power_power: 
      !>[X0: $tType] : fun(X0,fun(nat,X0)) ).

tff(func_def_1270,type,
    product_Pair: 
      !>[X0: $tType,X1: $tType] : fun(X0,fun(X1,product_prod(X0,X1))) ).

tff(func_def_1271,type,
    product_Sigma: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,set(X1)) ) > set(product_prod(X0,X1)) ) ).

tff(func_def_1272,type,
    product_apfst: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( fun(X0,X1) > fun(product_prod(X0,X2),product_prod(X1,X2)) ) ).

tff(func_def_1273,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_1274,type,
    product_rec_prod: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( fun(X0,fun(X1,X2)) * product_prod(X0,X1) ) > X2 ) ).

tff(func_def_1275,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_1276,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_1277,type,
    product_fst: 
      !>[X0: $tType,X1: $tType] : fun(product_prod(X0,X1),X0) ).

tff(func_def_1278,type,
    product_snd: 
      !>[X0: $tType,X1: $tType] : fun(product_prod(X0,X1),X1) ).

tff(func_def_1279,type,
    product_product: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * set(X1) ) > set(product_prod(X0,X1)) ) ).

tff(func_def_1280,type,
    fract: ( int * int ) > rat ).

tff(func_def_1281,type,
    frct: product_prod(int,int) > rat ).

tff(func_def_1282,type,
    rep_Rat: fun(rat,product_prod(int,int)) ).

tff(func_def_1283,type,
    field_char_0_Rats: 
      !>[X0: $tType] : set(X0) ).

tff(func_def_1284,type,
    normalize: product_prod(int,int) > product_prod(int,int) ).

tff(func_def_1285,type,
    of_int: int > rat ).

tff(func_def_1286,type,
    positive: fun(rat,$o) ).

tff(func_def_1287,type,
    quotient_of: rat > product_prod(int,int) ).

tff(func_def_1288,type,
    real_V557655796197034286t_dist: 
      !>[X0: $tType] : ( ( X0 * X0 ) > real ) ).

tff(func_def_1289,type,
    real_V7770717601297561774m_norm: 
      !>[X0: $tType] : ( X0 > real ) ).

tff(func_def_1290,type,
    real_Vector_of_real: 
      !>[X0: $tType] : ( real > X0 ) ).

tff(func_def_1291,type,
    real_V8093663219630862766scaleR: 
      !>[X0: $tType] : ( real > fun(X0,X0) ) ).

tff(func_def_1292,type,
    field2: 
      !>[X0: $tType] : ( set(product_prod(X0,X0)) > set(X0) ) ).

tff(func_def_1293,type,
    id2: 
      !>[X0: $tType] : set(product_prod(X0,X0)) ).

tff(func_def_1294,type,
    id_on: 
      !>[X0: $tType] : ( set(X0) > set(product_prod(X0,X0)) ) ).

tff(func_def_1295,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_1296,type,
    divide_divide: 
      !>[X0: $tType] : ( ( X0 * X0 ) > X0 ) ).

tff(func_def_1297,type,
    dvd_dvd: 
      !>[X0: $tType] : fun(X0,fun(X0,$o)) ).

tff(func_def_1298,type,
    modulo_modulo: 
      !>[X0: $tType] : ( ( X0 * X0 ) > X0 ) ).

tff(func_def_1299,type,
    zero_neq_one_of_bool: 
      !>[X0: $tType] : fun($o,X0) ).

tff(func_def_1300,type,
    suminf: 
      !>[X0: $tType] : ( fun(nat,X0) > X0 ) ).

tff(func_def_1301,type,
    collect: 
      !>[X0: $tType] : fun(fun(X0,$o),set(X0)) ).

tff(func_def_1302,type,
    pow2: 
      !>[X0: $tType] : ( set(X0) > set(set(X0)) ) ).

tff(func_def_1303,type,
    filter3: 
      !>[X0: $tType] : ( ( fun(X0,$o) * set(X0) ) > set(X0) ) ).

tff(func_def_1304,type,
    image: 
      !>[X0: $tType,X1: $tType] : ( fun(X0,X1) > fun(set(X0),set(X1)) ) ).

tff(func_def_1305,type,
    insert: 
      !>[X0: $tType] : fun(X0,fun(set(X0),set(X0))) ).

tff(func_def_1306,type,
    remove: 
      !>[X0: $tType] : fun(X0,fun(set(X0),set(X0))) ).

tff(func_def_1307,type,
    the_elem: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_1308,type,
    vimage: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * set(X1) ) > set(X0) ) ).

tff(func_def_1309,type,
    set_fo6178422350223883121st_nat: 
      !>[X0: $tType] : ( ( fun(nat,fun(X0,X0)) * nat * nat * X0 ) > X0 ) ).

tff(func_def_1310,type,
    set_ord_atLeast: 
      !>[X0: $tType] : ( X0 > set(X0) ) ).

tff(func_def_1311,type,
    set_or1337092689740270186AtMost: 
      !>[X0: $tType] : ( ( X0 * X0 ) > set(X0) ) ).

tff(func_def_1312,type,
    set_or7035219750837199246ssThan: 
      !>[X0: $tType] : ( ( X0 * X0 ) > set(X0) ) ).

tff(func_def_1313,type,
    set_ord_atMost: 
      !>[X0: $tType] : ( X0 > set(X0) ) ).

tff(func_def_1314,type,
    set_ord_greaterThan: 
      !>[X0: $tType] : fun(X0,set(X0)) ).

tff(func_def_1315,type,
    set_or3652927894154168847AtMost: 
      !>[X0: $tType] : ( ( X0 * X0 ) > set(X0) ) ).

tff(func_def_1316,type,
    set_or5935395276787703475ssThan: 
      !>[X0: $tType] : ( ( X0 * X0 ) > set(X0) ) ).

tff(func_def_1317,type,
    set_ord_lessThan: 
      !>[X0: $tType] : ( X0 > set(X0) ) ).

tff(func_def_1318,type,
    topolo3827282254853284352ce_Lim: 
      !>[X0: $tType,X1: $tType] : ( ( filter(X0) * fun(X0,X1) ) > X1 ) ).

tff(func_def_1319,type,
    topolo174197925503356063within: 
      !>[X0: $tType] : ( ( X0 * set(X0) ) > filter(X0) ) ).

tff(func_def_1320,type,
    topolo7230453075368039082e_nhds: 
      !>[X0: $tType] : ( X0 > filter(X0) ) ).

tff(func_def_1321,type,
    topolo7806501430040627800ormity: 
      !>[X0: $tType] : filter(product_prod(X0,X0)) ).

tff(func_def_1322,type,
    arccos: fun(real,real) ).

tff(func_def_1323,type,
    arcosh: 
      !>[X0: $tType] : fun(X0,X0) ).

tff(func_def_1324,type,
    arcsin: fun(real,real) ).

tff(func_def_1325,type,
    arctan: real > real ).

tff(func_def_1326,type,
    arsinh: 
      !>[X0: $tType] : ( X0 > X0 ) ).

tff(func_def_1327,type,
    artanh: 
      !>[X0: $tType] : fun(X0,X0) ).

tff(func_def_1328,type,
    cos: 
      !>[X0: $tType] : ( X0 > X0 ) ).

tff(func_def_1329,type,
    cos_coeff: nat > real ).

tff(func_def_1330,type,
    cosh: 
      !>[X0: $tType] : ( X0 > X0 ) ).

tff(func_def_1331,type,
    cot: 
      !>[X0: $tType] : fun(X0,X0) ).

tff(func_def_1332,type,
    diffs: 
      !>[X0: $tType] : ( fun(nat,X0) > fun(nat,X0) ) ).

tff(func_def_1333,type,
    exp: 
      !>[X0: $tType] : ( X0 > X0 ) ).

tff(func_def_1334,type,
    ln_ln: 
      !>[X0: $tType] : fun(X0,X0) ).

tff(func_def_1335,type,
    log: real > fun(real,real) ).

tff(func_def_1336,type,
    pi: real ).

tff(func_def_1337,type,
    powr: 
      !>[X0: $tType] : ( ( X0 * X0 ) > X0 ) ).

tff(func_def_1338,type,
    sin: 
      !>[X0: $tType] : ( X0 > X0 ) ).

tff(func_def_1339,type,
    sin_coeff: nat > real ).

tff(func_def_1340,type,
    sinh: 
      !>[X0: $tType] : ( X0 > X0 ) ).

tff(func_def_1341,type,
    tan: 
      !>[X0: $tType] : fun(X0,X0) ).

tff(func_def_1342,type,
    tanh: 
      !>[X0: $tType] : fun(X0,X0) ).

tff(func_def_1343,type,
    transitive_ntrancl: 
      !>[X0: $tType] : ( ( nat * set(product_prod(X0,X0)) ) > set(product_prod(X0,X0)) ) ).

tff(func_def_1344,type,
    transitive_rtrancl: 
      !>[X0: $tType] : ( set(product_prod(X0,X0)) > set(product_prod(X0,X0)) ) ).

tff(func_def_1345,type,
    transitive_trancl: 
      !>[X0: $tType] : ( set(product_prod(X0,X0)) > set(product_prod(X0,X0)) ) ).

tff(func_def_1346,type,
    vEBT_Leaf: ( $o * $o ) > vEBT_VEBT ).

tff(func_def_1347,type,
    vEBT_Node: ( option(product_prod(nat,nat)) * nat * list(vEBT_VEBT) * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_1348,type,
    vEBT_size_VEBT: fun(vEBT_VEBT,nat) ).

tff(func_def_1349,type,
    vEBT_V8194947554948674370ptions: vEBT_VEBT > fun(nat,$o) ).

tff(func_def_1350,type,
    vEBT_VEBT_high: ( nat * nat ) > nat ).

tff(func_def_1351,type,
    vEBT_VEBT_low: ( nat * nat ) > nat ).

tff(func_def_1352,type,
    vEBT_V4351362008482014158ma_rel: fun(product_prod(vEBT_VEBT,nat),fun(product_prod(vEBT_VEBT,nat),$o)) ).

tff(func_def_1353,type,
    vEBT_V5765760719290551771er_rel: fun(product_prod(vEBT_VEBT,nat),fun(product_prod(vEBT_VEBT,nat),$o)) ).

tff(func_def_1354,type,
    vEBT_VEBT_valid_rel: fun(product_prod(vEBT_VEBT,nat),fun(product_prod(vEBT_VEBT,nat),$o)) ).

tff(func_def_1355,type,
    vEBT_set_vebt: vEBT_VEBT > set(nat) ).

tff(func_def_1356,type,
    vEBT_vebt_buildup: nat > vEBT_VEBT ).

tff(func_def_1357,type,
    vEBT_v4011308405150292612up_rel: fun(nat,fun(nat,$o)) ).

tff(func_def_1358,type,
    vEBT_VEBT_bit_concat: ( nat * nat * nat ) > nat ).

tff(func_def_1359,type,
    vEBT_V6963167321098673237ll_rel: fun(vEBT_VEBT,fun(vEBT_VEBT,$o)) ).

tff(func_def_1360,type,
    vEBT_VEBT_set_vebt: vEBT_VEBT > set(nat) ).

tff(func_def_1361,type,
    vEBT_vebt_member: vEBT_VEBT > fun(nat,$o) ).

tff(func_def_1362,type,
    vEBT_vebt_member_rel: fun(product_prod(vEBT_VEBT,nat),fun(product_prod(vEBT_VEBT,nat),$o)) ).

tff(func_def_1363,type,
    vEBT_VEBT_add: fun(option(nat),fun(option(nat),option(nat))) ).

tff(func_def_1364,type,
    vEBT_VEBT_mul: fun(option(nat),fun(option(nat),option(nat))) ).

tff(func_def_1365,type,
    vEBT_V2048590022279873568_shift: 
      !>[X0: $tType] : ( fun(X0,fun(X0,X0)) > fun(option(X0),fun(option(X0),option(X0))) ) ).

tff(func_def_1366,type,
    vEBT_VEBT_power: fun(option(nat),fun(option(nat),option(nat))) ).

tff(func_def_1367,type,
    vEBT_vebt_maxt: vEBT_VEBT > option(nat) ).

tff(func_def_1368,type,
    vEBT_vebt_maxt_rel: fun(vEBT_VEBT,fun(vEBT_VEBT,$o)) ).

tff(func_def_1369,type,
    vEBT_vebt_mint: vEBT_VEBT > option(nat) ).

tff(func_def_1370,type,
    vEBT_vebt_mint_rel: fun(vEBT_VEBT,fun(vEBT_VEBT,$o)) ).

tff(func_def_1371,type,
    finite_psubset: 
      !>[X0: $tType] : set(product_prod(set(X0),set(X0))) ).

tff(func_def_1372,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_1373,type,
    max_ext: 
      !>[X0: $tType] : ( set(product_prod(X0,X0)) > set(product_prod(set(X0),set(X0))) ) ).

tff(func_def_1374,type,
    max_extp: 
      !>[X0: $tType] : ( fun(X0,fun(X0,$o)) > fun(set(X0),fun(set(X0),$o)) ) ).

tff(func_def_1375,type,
    measure: 
      !>[X0: $tType] : ( fun(X0,nat) > set(product_prod(X0,X0)) ) ).

tff(func_def_1376,type,
    min_ext: 
      !>[X0: $tType] : ( set(product_prod(X0,X0)) > set(product_prod(set(X0),set(X0))) ) ).

tff(func_def_1377,type,
    mlex_prod: 
      !>[X0: $tType] : ( ( fun(X0,nat) * set(product_prod(X0,X0)) ) > set(product_prod(X0,X0)) ) ).

tff(func_def_1378,type,
    pred_nat: set(product_prod(nat,nat)) ).

tff(func_def_1379,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_1380,type,
    chains: 
      !>[X0: $tType] : ( set(set(X0)) > set(set(set(X0))) ) ).

tff(func_def_1381,type,
    aa: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * X0 ) > X1 ) ).

tff(func_def_1382,type,
    fChoice: 
      !>[X0: $tType] : ( fun(X0,$o) > X0 ) ).

tff(func_def_1383,type,
    fNot: fun($o,$o) ).

tff(func_def_1384,type,
    fequal: 
      !>[X0: $tType] : fun(X0,fun(X0,$o)) ).

tff(func_def_1385,type,
    deg: nat ).

tff(func_def_1386,type,
    m: nat ).

tff(func_def_1387,type,
    ma: nat ).

tff(func_def_1388,type,
    maxs: nat ).

tff(func_def_1389,type,
    mi: nat ).

tff(func_def_1390,type,
    n: nat ).

tff(func_def_1391,type,
    summary: vEBT_VEBT ).

tff(func_def_1392,type,
    treeList: list(vEBT_VEBT) ).

tff(func_def_1393,type,
    h0: nat ).

tff(func_def_1394,type,
    m21: 
      !>[X0: $tType] : X0 ).

tff(func_def_1395,type,
    m22: 
      !>[X0: $tType] : X0 ).

tff(func_def_1396,type,
    half3: nat ).

tff(func_def_1397,type,
    half4: nat ).

tff(func_def_1398,type,
    half5: nat ).

tff(func_def_1399,type,
    half6: nat ).

tff(func_def_1400,type,
    pos7: nat ).

tff(func_def_1401,type,
    pos8: nat ).

tff(func_def_1402,type,
    h9: nat ).

tff(func_def_1403,type,
    pos10: nat ).

tff(func_def_1404,type,
    pos11: nat ).

tff(func_def_1405,type,
    pos12: nat ).

tff(func_def_1406,type,
    pos13: nat ).

tff(func_def_1407,type,
    pos14: nat ).

tff(func_def_1408,type,
    pos15: nat ).

tff(func_def_1409,type,
    h16: nat ).

tff(func_def_1410,type,
    pos17: nat ).

tff(func_def_1411,type,
    pos18: nat ).

tff(func_def_1412,type,
    pos19: nat ).

tff(func_def_1413,type,
    pos20: nat ).

tff(func_def_1414,type,
    h21: nat ).

tff(func_def_1415,type,
    l22: 
      !>[X0: $tType] : X0 ).

tff(func_def_1416,type,
    h23: nat ).

tff(func_def_1417,type,
    h24: nat ).

tff(func_def_1418,type,
    h25: nat ).

tff(func_def_1419,type,
    pos26: nat ).

tff(func_def_1420,type,
    pos27: nat ).

tff(func_def_1421,type,
    pos28: nat ).

tff(func_def_1422,type,
    pos29: nat ).

tff(func_def_1423,type,
    pos30: nat ).

tff(func_def_1424,type,
    pos31: nat ).

tff(func_def_1425,type,
    pos32: nat ).

tff(func_def_1426,type,
    pos33: nat ).

tff(func_def_1427,type,
    pos34: nat ).

tff(func_def_1428,type,
    half35: nat ).

tff(func_def_1429,type,
    half36: nat ).

tff(func_def_1430,type,
    d37: int ).

tff(func_def_1431,type,
    l38: code_integer ).

tff(func_def_1432,type,
    pv39: nat ).

tff(func_def_1433,type,
    l40: 
      !>[X0: $tType] : X0 ).

tff(func_def_1434,type,
    a241: int ).

tff(func_def_1435,type,
    a242: int ).

tff(func_def_1436,type,
    n243: nat ).

tff(func_def_1437,type,
    m244: nat ).

tff(func_def_1438,type,
    n245: nat ).

tff(func_def_1439,type,
    m246: nat ).

tff(func_def_1440,type,
    n247: nat ).

tff(func_def_1441,type,
    m248: nat ).

tff(func_def_1442,type,
    n249: nat ).

tff(func_def_1443,type,
    m250: nat ).

tff(func_def_1444,type,
    n251: nat ).

tff(func_def_1445,type,
    m252: nat ).

tff(func_def_1446,type,
    n253: nat ).

tff(func_def_1447,type,
    m254: nat ).

tff(func_def_1448,type,
    n255: nat ).

tff(func_def_1449,type,
    m256: nat ).

tff(func_def_1450,type,
    m257: 
      !>[X0: $tType] : X0 ).

tff(func_def_1451,type,
    a358: 
      !>[X0: $tType] : set(set(X0)) ).

tff(func_def_1452,type,
    xss59: 
      !>[X0: $tType] : list(list(X0)) ).

tff(func_def_1453,type,
    m260: 
      !>[X0: $tType] : X0 ).

tff(func_def_1454,type,
    l261: int ).

tff(func_def_1455,type,
    m362: a ).

tff(func_def_1456,type,
    l263: nat ).

tff(func_def_1457,type,
    l364: nat ).

tff(func_def_1460,type,
    sK65: nat ).

tff(func_def_1461,type,
    sK66: vEBT_VEBT > nat ).

tff(func_def_1462,type,
    sK67: nat ).

tff(func_def_1463,type,
    sK68: 
      !>[X0: $tType] : ( ( list(X0) * fun(X0,$o) ) > X0 ) ).

tff(func_def_1464,type,
    sK69: ( set(nat) * nat ) > nat ).

tff(func_def_1465,type,
    sK70: ( set(nat) * nat ) > nat ).

tff(func_def_1466,type,
    sK71: 
      !>[X0: $tType] : ( ( fun(X0,$o) * fun(X0,$o) ) > X0 ) ).

tff(func_def_1467,type,
    sK72: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * fun(X1,X0) ) > X1 ) ).

tff(func_def_1468,type,
    sK73: 
      !>[X0: $tType] : ( ( nat * X0 * fun(X0,$o) ) > X0 ) ).

tff(func_def_1469,type,
    sK74: 
      !>[X0: $tType] : ( ( nat * X0 * fun(X0,$o) ) > X0 ) ).

tff(func_def_1470,type,
    sK75: 
      !>[X0: $tType] : ( nat > list(X0) ) ).

tff(func_def_1471,type,
    sK76: 
      !>[X0: $tType] : ( fun(list(X0),$o) > list(X0) ) ).

tff(func_def_1472,type,
    sK77: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) ) > nat ) ).

tff(func_def_1473,type,
    sK78: 
      !>[X0: $tType] : ( ( nat * fun(nat,fun(X0,$o)) ) > nat ) ).

tff(func_def_1474,type,
    sK79: 
      !>[X0: $tType] : ( ( nat * fun(nat,fun(X0,$o)) ) > list(X0) ) ).

tff(func_def_1475,type,
    sK80: 
      !>[X0: $tType] : ( ( fun(nat,fun(X0,$o)) * nat ) > X0 ) ).

tff(func_def_1476,type,
    sK81: 
      !>[X0: $tType] : ( ( nat * fun(nat,fun(X0,$o)) * list(X0) ) > nat ) ).

tff(func_def_1477,type,
    sK82: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) ) > nat ) ).

tff(func_def_1478,type,
    sK83: 
      !>[X0: $tType] : ( ( list(X0) * X0 ) > X0 ) ).

tff(func_def_1479,type,
    sK84: 
      !>[X0: $tType] : ( ( list(X0) * X0 ) > X0 ) ).

tff(func_def_1480,type,
    sK85: 
      !>[X0: $tType] : ( ( list(X0) * fun(X0,$o) ) > X0 ) ).

tff(func_def_1481,type,
    sK86: 
      !>[X0: $tType] : ( ( list(X0) * fun(X0,$o) ) > nat ) ).

tff(func_def_1482,type,
    sK87: 
      !>[X0: $tType] : ( ( list(X0) * fun(X0,$o) ) > nat ) ).

tff(func_def_1483,type,
    sK88: 
      !>[X0: $tType] : ( ( X0 * list(X0) ) > nat ) ).

tff(func_def_1484,type,
    sK89: 
      !>[X0: $tType] : ( ( list(X0) * fun(X0,$o) ) > X0 ) ).

tff(func_def_1485,type,
    sK90: ( fun(nat,$o) * nat ) > nat ).

tff(func_def_1486,type,
    sK91: nat > nat ).

tff(func_def_1487,type,
    sK92: nat > nat ).

tff(func_def_1488,type,
    sK93: ( nat * nat ) > nat ).

tff(func_def_1489,type,
    sK94: ( nat * nat ) > nat ).

tff(func_def_1490,type,
    sK95: ( nat * nat ) > nat ).

tff(func_def_1491,type,
    sK96: 
      !>[X0: $tType] : ( ( X0 * X0 ) > X0 ) ).

tff(func_def_1492,type,
    sK97: 
      !>[X0: $tType] : ( ( X0 * X0 ) > X0 ) ).

tff(func_def_1493,type,
    sK98: nat > nat ).

tff(func_def_1494,type,
    sK99: fun(nat,$o) > nat ).

tff(func_def_1495,type,
    sK100: fun(nat,fun(nat,$o)) > nat ).

tff(func_def_1496,type,
    sK101: fun(nat,fun(nat,$o)) > nat ).

tff(func_def_1497,type,
    sK102: fun(nat,fun(nat,$o)) > nat ).

tff(func_def_1498,type,
    sK103: fun(nat,fun(nat,$o)) > nat ).

tff(func_def_1499,type,
    sK104: fun(nat,$o) > nat ).

tff(func_def_1500,type,
    sK105: nat > nat ).

tff(func_def_1501,type,
    sK106: ( nat * nat ) > nat ).

tff(func_def_1502,type,
    sK107: ( nat * nat ) > nat ).

tff(func_def_1503,type,
    sK108: ( nat * fun(nat,$o) ) > nat ).

tff(func_def_1504,type,
    sK109: ( nat * fun(nat,$o) ) > nat ).

tff(func_def_1505,type,
    sK110: ( nat * fun(nat,$o) ) > nat ).

tff(func_def_1506,type,
    sK111: ( nat * fun(nat,$o) ) > nat ).

tff(func_def_1507,type,
    sK112: ( nat * nat ) > nat ).

tff(func_def_1508,type,
    sK113: fun(nat,fun(nat,$o)) > nat ).

tff(func_def_1509,type,
    sK114: fun(nat,fun(nat,$o)) > nat ).

tff(func_def_1510,type,
    sK115: fun(nat,fun(nat,$o)) > nat ).

tff(func_def_1511,type,
    sK116: fun(nat,fun(nat,$o)) > nat ).

tff(func_def_1512,type,
    sK117: ( nat * fun(nat,$o) ) > nat ).

tff(func_def_1513,type,
    sK118: ( nat * fun(nat,$o) ) > nat ).

tff(func_def_1514,type,
    sK119: nat > nat ).

tff(func_def_1515,type,
    sK120: fun(nat,$o) > nat ).

tff(func_def_1516,type,
    sK121: ( nat * fun(nat,$o) ) > nat ).

tff(func_def_1517,type,
    sK122: fun(nat,fun(nat,$o)) > nat ).

tff(func_def_1518,type,
    sK123: fun(nat,fun(nat,$o)) > nat ).

tff(func_def_1519,type,
    sK124: fun(nat,fun(nat,$o)) > nat ).

tff(func_def_1520,type,
    sK125: fun(nat,fun(nat,$o)) > nat ).

tff(func_def_1521,type,
    sK126: fun(nat,fun(nat,$o)) > nat ).

tff(func_def_1522,type,
    sK127: ( nat * nat ) > nat ).

tff(func_def_1523,type,
    sK128: ( nat * nat ) > nat ).

tff(func_def_1524,type,
    sK129: 
      !>[X0: $tType] : ( ( list(X0) * set(X0) ) > X0 ) ).

tff(func_def_1525,type,
    sK130: 
      !>[X0: $tType] : ( ( X0 * X0 ) > X0 ) ).

tff(func_def_1526,type,
    sK131: 
      !>[X0: $tType] : ( fun(nat,X0) > nat ) ).

tff(func_def_1527,type,
    sK132: 
      !>[X0: $tType] : ( fun(nat,X0) > nat ) ).

tff(func_def_1528,type,
    sK133: 
      !>[X0: $tType] : ( fun(nat,X0) > nat ) ).

tff(func_def_1529,type,
    sK134: 
      !>[X0: $tType] : ( fun(nat,X0) > nat ) ).

tff(func_def_1530,type,
    sK135: ( nat * nat ) > nat ).

tff(func_def_1531,type,
    sK136: nat > nat ).

tff(func_def_1532,type,
    sK137: ( nat * fun(nat,$o) ) > nat ).

tff(func_def_1533,type,
    sK138: ( nat * fun(nat,$o) ) > nat ).

tff(func_def_1534,type,
    sK139: nat > nat ).

tff(func_def_1535,type,
    sK140: ( nat * fun(nat,$o) ) > nat ).

tff(func_def_1536,type,
    sK141: ( nat * fun(nat,$o) ) > nat ).

tff(func_def_1537,type,
    sK142: ( nat * nat ) > nat ).

tff(func_def_1538,type,
    sK143: ( nat * nat * fun(nat,$o) ) > nat ).

tff(func_def_1539,type,
    sK144: ( nat * nat * fun(nat,$o) ) > nat ).

tff(func_def_1540,type,
    sK145: fun(nat,nat) > nat ).

tff(func_def_1541,type,
    sK146: fun(nat,nat) > nat ).

tff(func_def_1542,type,
    sK147: ( fun(nat,$o) * nat ) > nat ).

tff(func_def_1543,type,
    sK150: 
      !>[X0: $tType] : ( fun(X0,fun(X0,$o)) > X0 ) ).

tff(func_def_1544,type,
    sK151: 
      !>[X0: $tType] : ( fun(X0,fun(X0,$o)) > X0 ) ).

tff(func_def_1545,type,
    sK152: 
      !>[X0: $tType] : ( fun(X0,fun(X0,$o)) > X0 ) ).

tff(func_def_1546,type,
    sK153: 
      !>[X0: $tType] : ( fun(X0,fun(X0,$o)) > X0 ) ).

tff(func_def_1547,type,
    sK154: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * fun(X1,X0) ) > X1 ) ).

tff(func_def_1548,type,
    sK155: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * fun(X1,X0) ) > X1 ) ).

tff(func_def_1549,type,
    sK156: 
      !>[X0: $tType,X1: $tType] : ( fun(X1,X0) > X1 ) ).

tff(func_def_1550,type,
    sK157: 
      !>[X0: $tType,X1: $tType] : ( fun(X1,X0) > X1 ) ).

tff(func_def_1551,type,
    sK158: 
      !>[X0: $tType,X1: $tType] : ( fun(X0,X1) > X0 ) ).

tff(func_def_1552,type,
    sK159: 
      !>[X0: $tType,X1: $tType] : ( fun(X0,X1) > X0 ) ).

tff(func_def_1553,type,
    sK160: 
      !>[X0: $tType,X1: $tType] : ( fun(X1,X0) > X1 ) ).

tff(func_def_1554,type,
    sK161: 
      !>[X0: $tType,X1: $tType] : ( fun(X1,X0) > X1 ) ).

tff(func_def_1555,type,
    sK162: 
      !>[X0: $tType,X1: $tType] : ( fun(X0,X1) > X0 ) ).

tff(func_def_1556,type,
    sK163: 
      !>[X0: $tType,X1: $tType] : ( fun(X0,X1) > X0 ) ).

tff(func_def_1557,type,
    sK164: 
      !>[X0: $tType] : ( X0 > X0 ) ).

tff(func_def_1558,type,
    sK165: 
      !>[X0: $tType] : ( X0 > X0 ) ).

tff(func_def_1559,type,
    sK166: 
      !>[X0: $tType] : ( ( X0 * X0 ) > X0 ) ).

tff(func_def_1560,type,
    sK167: 
      !>[X0: $tType] : ( fun(X0,$o) > X0 ) ).

tff(func_def_1561,type,
    sK168: 
      !>[X0: $tType] : ( fun(X0,$o) > X0 ) ).

tff(func_def_1562,type,
    sK169: 
      !>[X0: $tType] : ( fun(X0,$o) > X0 ) ).

tff(func_def_1563,type,
    sK170: 
      !>[X0: $tType] : ( ( fun(X0,$o) * X0 ) > X0 ) ).

tff(func_def_1564,type,
    sK171: 
      !>[X0: $tType] : ( fun(X0,fun(X0,$o)) > X0 ) ).

tff(func_def_1565,type,
    sK172: 
      !>[X0: $tType] : ( fun(X0,fun(X0,$o)) > X0 ) ).

tff(func_def_1566,type,
    sK173: 
      !>[X0: $tType] : ( fun(X0,fun(X0,$o)) > X0 ) ).

tff(func_def_1567,type,
    sK174: 
      !>[X0: $tType] : ( fun(X0,fun(X0,$o)) > X0 ) ).

tff(func_def_1568,type,
    sK175: 
      !>[X0: $tType] : ( fun(X0,fun(X0,$o)) > X0 ) ).

tff(func_def_1569,type,
    sK176: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * fun(X1,$o) ) > X1 ) ).

tff(func_def_1570,type,
    sK177: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * fun(X1,$o) ) > X1 ) ).

tff(func_def_1571,type,
    sK178: 
      !>[X0: $tType,X1: $tType] : ( fun(X1,X0) > X1 ) ).

tff(func_def_1572,type,
    sK179: 
      !>[X0: $tType,X1: $tType] : ( fun(X1,X0) > X1 ) ).

tff(func_def_1573,type,
    sK180: 
      !>[X0: $tType,X1: $tType] : ( fun(X0,X1) > X0 ) ).

tff(func_def_1574,type,
    sK181: 
      !>[X0: $tType,X1: $tType] : ( fun(X0,X1) > X0 ) ).

tff(func_def_1575,type,
    sK182: 
      !>[X0: $tType,X1: $tType] : ( fun(X1,X0) > X1 ) ).

tff(func_def_1576,type,
    sK183: 
      !>[X0: $tType,X1: $tType] : ( fun(X1,X0) > X1 ) ).

tff(func_def_1577,type,
    sK184: 
      !>[X0: $tType,X1: $tType] : ( fun(X0,X1) > X0 ) ).

tff(func_def_1578,type,
    sK185: 
      !>[X0: $tType,X1: $tType] : ( fun(X0,X1) > X0 ) ).

tff(func_def_1579,type,
    sK186: fun(nat,$o) > nat ).

tff(func_def_1580,type,
    sK187: fun(nat,$o) > nat ).

tff(func_def_1581,type,
    sK188: 
      !>[X0: $tType] : ( ( fun(X0,$o) * fun(X0,nat) ) > X0 ) ).

tff(func_def_1582,type,
    sK189: ( fun(nat,$o) * nat ) > nat ).

tff(func_def_1583,type,
    sK190: fun(nat,$o) > nat ).

tff(func_def_1584,type,
    sK191: 
      !>[X0: $tType] : ( ( X0 * X0 ) > X0 ) ).

tff(func_def_1585,type,
    sK192: 
      !>[X0: $tType] : ( ( X0 * X0 ) > X0 ) ).

tff(func_def_1586,type,
    sK193: 
      !>[X0: $tType] : ( ( X0 * X0 * X0 ) > X0 ) ).

tff(func_def_1587,type,
    sK194: 
      !>[X0: $tType] : ( ( X0 * X0 * X0 ) > X0 ) ).

tff(func_def_1588,type,
    sK195: 
      !>[X0: $tType,X1: $tType] : ( fun(X1,X0) > X1 ) ).

tff(func_def_1589,type,
    sK196: 
      !>[X0: $tType,X1: $tType] : ( fun(X1,X0) > X1 ) ).

tff(func_def_1590,type,
    sK197: 
      !>[X0: $tType,X1: $tType] : ( fun(X0,X1) > X0 ) ).

tff(func_def_1591,type,
    sK198: 
      !>[X0: $tType,X1: $tType] : ( fun(X0,X1) > X0 ) ).

tff(func_def_1592,type,
    sK199: 
      !>[X0: $tType,X1: $tType] : ( fun(X1,X0) > X1 ) ).

tff(func_def_1593,type,
    sK200: 
      !>[X0: $tType,X1: $tType] : ( fun(X1,X0) > X1 ) ).

tff(func_def_1594,type,
    sK201: 
      !>[X0: $tType,X1: $tType] : ( fun(X0,X1) > X0 ) ).

tff(func_def_1595,type,
    sK202: 
      !>[X0: $tType,X1: $tType] : ( fun(X0,X1) > X0 ) ).

tff(func_def_1596,type,
    sK203: fun(nat,$o) > nat ).

tff(func_def_1597,type,
    sK204: 
      !>[X0: $tType] : ( ( fun(X0,nat) * fun(X0,$o) ) > X0 ) ).

tff(func_def_1598,type,
    sK205: 
      !>[X0: $tType] : ( ( fun(X0,nat) * fun(X0,$o) ) > X0 ) ).

tff(func_def_1599,type,
    sK206: fun(nat,nat) > nat ).

tff(func_def_1600,type,
    sK207: fun(nat,nat) > nat ).

tff(func_def_1601,type,
    sK208: 
      !>[X0: $tType] : ( ( X0 * X0 ) > X0 ) ).

tff(func_def_1602,type,
    sK209: 
      !>[X0: $tType] : ( ( fun(X0,$o) * fun(X0,nat) ) > X0 ) ).

tff(func_def_1603,type,
    sK210: 
      !>[X0: $tType] : ( ( fun(X0,$o) * X0 * fun(X0,nat) * nat ) > X0 ) ).

tff(func_def_1604,type,
    sK211: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_1605,type,
    sK212: ( vEBT_VEBT * nat ) > option(product_prod(nat,nat)) ).

tff(func_def_1606,type,
    sK213: ( vEBT_VEBT * nat ) > list(vEBT_VEBT) ).

tff(func_def_1607,type,
    sK214: ( vEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_1608,type,
    sK215: 
      !>[X0: $tType] : ( fun(X0,$o) > X0 ) ).

tff(func_def_1609,type,
    sK216: 
      !>[X0: $tType] : ( fun(X0,$o) > X0 ) ).

tff(func_def_1610,type,
    sK217: 
      !>[X0: $tType] : ( ( set(X0) * set(X0) ) > X0 ) ).

tff(func_def_1611,type,
    sK218: 
      !>[X0: $tType] : ( option(X0) > X0 ) ).

tff(func_def_1612,type,
    sK219: 
      !>[X0: $tType] : ( option(X0) > X0 ) ).

tff(func_def_1613,type,
    sK220: 
      !>[X0: $tType] : ( ( fun(X0,$o) * fun(X0,$o) ) > X0 ) ).

tff(func_def_1614,type,
    sK221: 
      !>[X0: $tType] : ( ( fun(X0,$o) * fun(X0,$o) ) > X0 ) ).

tff(func_def_1615,type,
    sK222: 
      !>[X0: $tType] : ( ( set(X0) * set(X0) ) > X0 ) ).

tff(func_def_1616,type,
    sK223: 
      !>[X0: $tType] : ( ( set(X0) * set(X0) ) > X0 ) ).

tff(func_def_1617,type,
    sK224: 
      !>[X0: $tType,X1: $tType] : ( ( option(X0) * fun(option(X0),fun(option(X1),$o)) * option(X1) ) > X0 ) ).

tff(func_def_1618,type,
    sK225: 
      !>[X0: $tType,X1: $tType] : ( ( option(X0) * fun(option(X0),fun(option(X1),$o)) * option(X1) ) > X1 ) ).

tff(func_def_1619,type,
    sK226: 
      !>[X0: $tType] : ( fun(option(X0),$o) > option(X0) ) ).

tff(func_def_1620,type,
    sK227: 
      !>[X0: $tType] : ( fun(option(X0),$o) > X0 ) ).

tff(func_def_1621,type,
    sK228: 
      !>[X0: $tType] : ( fun(option(X0),$o) > option(X0) ) ).

tff(func_def_1622,type,
    sK229: 
      !>[X0: $tType] : ( fun(option(X0),$o) > X0 ) ).

tff(func_def_1623,type,
    sK230: 
      !>[X0: $tType] : ( option(X0) > X0 ) ).

tff(func_def_1624,type,
    sK231: 
      !>[X0: $tType] : ( X0 > X0 ) ).

tff(func_def_1625,type,
    sK232: 
      !>[X0: $tType] : ( X0 > X0 ) ).

tff(func_def_1626,type,
    sK233: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_1627,type,
    sK234: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_1628,type,
    sK235: 
      !>[X0: $tType] : ( ( fun(X0,$o) * fun(X0,nat) ) > X0 ) ).

tff(func_def_1629,type,
    sK236: 
      !>[X0: $tType] : ( ( fun(X0,$o) * fun(X0,nat) * nat ) > X0 ) ).

tff(func_def_1630,type,
    sK237: 
      !>[X0: $tType] : ( ( fun(X0,$o) * fun(X0,nat) ) > X0 ) ).

tff(func_def_1631,type,
    sK238: fun(nat,fun(nat,$o)) > nat ).

tff(func_def_1632,type,
    sK239: fun(nat,fun(nat,$o)) > nat ).

tff(func_def_1633,type,
    sK240: fun(nat,fun(nat,$o)) > nat ).

tff(func_def_1634,type,
    sK241: fun(nat,fun(nat,$o)) > nat ).

tff(func_def_1635,type,
    sK242: fun(nat,fun(nat,$o)) > nat ).

tff(func_def_1636,type,
    sK243: 
      !>[X0: $tType] : ( product_prod(fun(X0,fun(X0,X0)),product_prod(option(X0),option(X0))) > fun(X0,fun(X0,X0)) ) ).

tff(func_def_1637,type,
    sK244: 
      !>[X0: $tType] : ( product_prod(fun(X0,fun(X0,X0)),product_prod(option(X0),option(X0))) > option(X0) ) ).

tff(func_def_1638,type,
    sK245: 
      !>[X0: $tType] : ( product_prod(fun(X0,fun(X0,X0)),product_prod(option(X0),option(X0))) > fun(X0,fun(X0,X0)) ) ).

tff(func_def_1639,type,
    sK246: 
      !>[X0: $tType] : ( product_prod(fun(X0,fun(X0,X0)),product_prod(option(X0),option(X0))) > X0 ) ).

tff(func_def_1640,type,
    sK247: 
      !>[X0: $tType] : ( product_prod(fun(X0,fun(X0,X0)),product_prod(option(X0),option(X0))) > fun(X0,fun(X0,X0)) ) ).

tff(func_def_1641,type,
    sK248: 
      !>[X0: $tType] : ( product_prod(fun(X0,fun(X0,X0)),product_prod(option(X0),option(X0))) > X0 ) ).

tff(func_def_1642,type,
    sK249: 
      !>[X0: $tType] : ( product_prod(fun(X0,fun(X0,X0)),product_prod(option(X0),option(X0))) > X0 ) ).

tff(func_def_1643,type,
    sK250: 
      !>[X0: $tType] : ( product_prod(fun(X0,fun(X0,$o)),product_prod(option(X0),option(X0))) > fun(X0,fun(X0,$o)) ) ).

tff(func_def_1644,type,
    sK251: 
      !>[X0: $tType] : ( product_prod(fun(X0,fun(X0,$o)),product_prod(option(X0),option(X0))) > option(X0) ) ).

tff(func_def_1645,type,
    sK252: 
      !>[X0: $tType] : ( product_prod(fun(X0,fun(X0,$o)),product_prod(option(X0),option(X0))) > fun(X0,fun(X0,$o)) ) ).

tff(func_def_1646,type,
    sK253: 
      !>[X0: $tType] : ( product_prod(fun(X0,fun(X0,$o)),product_prod(option(X0),option(X0))) > X0 ) ).

tff(func_def_1647,type,
    sK254: 
      !>[X0: $tType] : ( product_prod(fun(X0,fun(X0,$o)),product_prod(option(X0),option(X0))) > fun(X0,fun(X0,$o)) ) ).

tff(func_def_1648,type,
    sK255: 
      !>[X0: $tType] : ( product_prod(fun(X0,fun(X0,$o)),product_prod(option(X0),option(X0))) > X0 ) ).

tff(func_def_1649,type,
    sK256: 
      !>[X0: $tType] : ( product_prod(fun(X0,fun(X0,$o)),product_prod(option(X0),option(X0))) > X0 ) ).

tff(func_def_1650,type,
    sK257: 
      !>[X0: $tType] : ( set(X0) > list(X0) ) ).

tff(func_def_1651,type,
    sK258: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_1652,type,
    sK259: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_1653,type,
    sK260: 
      !>[X0: $tType,X1: $tType] : ( product_prod(X0,X1) > X0 ) ).

tff(func_def_1654,type,
    sK261: 
      !>[X0: $tType,X1: $tType] : ( product_prod(X0,X1) > X1 ) ).

tff(func_def_1655,type,
    sK262: 
      !>[X0: $tType,X1: $tType] : ( product_prod(X0,X1) > X0 ) ).

tff(func_def_1656,type,
    sK263: 
      !>[X0: $tType,X1: $tType] : ( product_prod(X0,X1) > X1 ) ).

tff(func_def_1657,type,
    sK264: 
      !>[X0: $tType,X1: $tType] : ( fun(product_prod(X1,X0),$o) > X1 ) ).

tff(func_def_1658,type,
    sK265: 
      !>[X0: $tType,X1: $tType] : ( fun(product_prod(X1,X0),$o) > X0 ) ).

tff(func_def_1659,type,
    sK266: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( product_prod(X0,product_prod(X1,X2)) > X0 ) ).

tff(func_def_1660,type,
    sK267: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( product_prod(X0,product_prod(X1,X2)) > X1 ) ).

tff(func_def_1661,type,
    sK268: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( product_prod(X0,product_prod(X1,X2)) > X2 ) ).

tff(func_def_1662,type,
    sK269: 
      !>[X0: $tType,X1: $tType,X2: $tType,X3: $tType] : ( product_prod(X0,product_prod(X1,product_prod(X2,X3))) > X0 ) ).

tff(func_def_1663,type,
    sK270: 
      !>[X0: $tType,X1: $tType,X2: $tType,X3: $tType] : ( product_prod(X0,product_prod(X1,product_prod(X2,X3))) > X1 ) ).

tff(func_def_1664,type,
    sK271: 
      !>[X0: $tType,X1: $tType,X2: $tType,X3: $tType] : ( product_prod(X0,product_prod(X1,product_prod(X2,X3))) > X2 ) ).

tff(func_def_1665,type,
    sK272: 
      !>[X0: $tType,X1: $tType,X2: $tType,X3: $tType] : ( product_prod(X0,product_prod(X1,product_prod(X2,X3))) > X3 ) ).

tff(func_def_1666,type,
    sK273: 
      !>[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_1667,type,
    sK274: 
      !>[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_1668,type,
    sK275: 
      !>[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_1669,type,
    sK276: 
      !>[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_1670,type,
    sK277: 
      !>[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_1671,type,
    sK278: 
      !>[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_1672,type,
    sK279: 
      !>[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_1673,type,
    sK280: 
      !>[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_1674,type,
    sK281: 
      !>[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_1675,type,
    sK282: 
      !>[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_1676,type,
    sK283: 
      !>[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_1677,type,
    sK284: 
      !>[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_1678,type,
    sK285: 
      !>[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_1679,type,
    sK286: 
      !>[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_1680,type,
    sK287: 
      !>[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_1681,type,
    sK288: 
      !>[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_1682,type,
    sK289: 
      !>[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_1683,type,
    sK290: 
      !>[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_1684,type,
    sK291: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( fun(product_prod(X2,product_prod(X1,X0)),$o) > X2 ) ).

tff(func_def_1685,type,
    sK292: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( fun(product_prod(X2,product_prod(X1,X0)),$o) > X1 ) ).

tff(func_def_1686,type,
    sK293: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( fun(product_prod(X2,product_prod(X1,X0)),$o) > X0 ) ).

tff(func_def_1687,type,
    sK294: 
      !>[X0: $tType,X1: $tType,X2: $tType,X3: $tType] : ( fun(product_prod(X3,product_prod(X2,product_prod(X1,X0))),$o) > X3 ) ).

tff(func_def_1688,type,
    sK295: 
      !>[X0: $tType,X1: $tType,X2: $tType,X3: $tType] : ( fun(product_prod(X3,product_prod(X2,product_prod(X1,X0))),$o) > X2 ) ).

tff(func_def_1689,type,
    sK296: 
      !>[X0: $tType,X1: $tType,X2: $tType,X3: $tType] : ( fun(product_prod(X3,product_prod(X2,product_prod(X1,X0))),$o) > X1 ) ).

tff(func_def_1690,type,
    sK297: 
      !>[X0: $tType,X1: $tType,X2: $tType,X3: $tType] : ( fun(product_prod(X3,product_prod(X2,product_prod(X1,X0))),$o) > X0 ) ).

tff(func_def_1691,type,
    sK298: 
      !>[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_1692,type,
    sK299: 
      !>[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_1693,type,
    sK300: 
      !>[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_1694,type,
    sK301: 
      !>[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_1695,type,
    sK302: 
      !>[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_1696,type,
    sK303: 
      !>[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_1697,type,
    sK304: 
      !>[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_1698,type,
    sK305: 
      !>[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_1699,type,
    sK306: 
      !>[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_1700,type,
    sK307: 
      !>[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_1701,type,
    sK308: 
      !>[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_1702,type,
    sK309: 
      !>[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_1703,type,
    sK310: 
      !>[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_1704,type,
    sK311: 
      !>[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_1705,type,
    sK312: 
      !>[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_1706,type,
    sK313: 
      !>[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_1707,type,
    sK314: 
      !>[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_1708,type,
    sK315: 
      !>[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_1709,type,
    sK316: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,X0)) * option(X0) * option(X0) * option(X0) ) > X0 ) ).

tff(func_def_1710,type,
    sK317: 
      !>[X0: $tType] : ( option(X0) > X0 ) ).

tff(func_def_1711,type,
    sK318: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,X0)) * option(X0) * option(X0) * option(X0) ) > X0 ) ).

tff(func_def_1712,type,
    sK319: nat > nat ).

tff(func_def_1713,type,
    sK320: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_1714,type,
    sK321: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_1715,type,
    sK322: set(nat) > nat ).

tff(func_def_1716,type,
    sK323: ( set(nat) * nat ) > nat ).

tff(func_def_1717,type,
    sK324: set(nat) > nat ).

tff(func_def_1718,type,
    sK325: ( set(nat) * nat ) > nat ).

tff(func_def_1719,type,
    sK326: ( nat * set(nat) ) > nat ).

tff(func_def_1720,type,
    sK327: ( set(nat) * nat ) > nat ).

tff(func_def_1721,type,
    sK328: 
      !>[X0: $tType] : ( set(list(X0)) > nat ) ).

tff(func_def_1722,type,
    sK329: 
      !>[X0: $tType,X1: $tType] : ( ( set(product_prod(X1,X0)) * set(product_prod(X1,X0)) ) > X1 ) ).

tff(func_def_1723,type,
    sK330: 
      !>[X0: $tType,X1: $tType] : ( ( set(product_prod(X1,X0)) * set(product_prod(X1,X0)) ) > X0 ) ).

tff(func_def_1724,type,
    sK331: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,fun(X0,$o)) ) > X1 ) ).

tff(func_def_1725,type,
    sK332: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,fun(X0,$o)) ) > fun(X1,X0) ) ).

tff(func_def_1726,type,
    sK333: ( fun(nat,$o) * nat ) > nat ).

tff(func_def_1727,type,
    sK334: fun(nat,$o) > nat ).

tff(func_def_1728,type,
    sK335: 
      !>[X0: $tType] : ( product_prod(fun(nat,fun(X0,X0)),product_prod(nat,product_prod(nat,X0))) > fun(nat,fun(X0,X0)) ) ).

tff(func_def_1729,type,
    sK336: 
      !>[X0: $tType] : ( product_prod(fun(nat,fun(X0,X0)),product_prod(nat,product_prod(nat,X0))) > nat ) ).

tff(func_def_1730,type,
    sK337: 
      !>[X0: $tType] : ( product_prod(fun(nat,fun(X0,X0)),product_prod(nat,product_prod(nat,X0))) > nat ) ).

tff(func_def_1731,type,
    sK338: 
      !>[X0: $tType] : ( product_prod(fun(nat,fun(X0,X0)),product_prod(nat,product_prod(nat,X0))) > X0 ) ).

tff(func_def_1732,type,
    sK339: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_1733,type,
    sK340: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_1734,type,
    sK341: 
      !>[X0: $tType] : ( fun(X0,fun(X0,$o)) > X0 ) ).

tff(func_def_1735,type,
    sK342: 
      !>[X0: $tType] : ( fun(X0,fun(X0,$o)) > X0 ) ).

tff(func_def_1736,type,
    sK343: 
      !>[X0: $tType] : ( fun(X0,fun(X0,$o)) > X0 ) ).

tff(func_def_1737,type,
    sK344: 
      !>[X0: $tType] : ( fun(X0,fun(X0,$o)) > X0 ) ).

tff(func_def_1738,type,
    sK345: 
      !>[X0: $tType] : ( ( set(X0) * fun(X0,fun(X0,$o)) ) > X0 ) ).

tff(func_def_1739,type,
    sK346: 
      !>[X0: $tType] : ( fun(set(X0),$o) > set(X0) ) ).

tff(func_def_1740,type,
    sK347: set(nat) > nat ).

tff(func_def_1741,type,
    sK348: ( set(nat) * nat ) > nat ).

tff(func_def_1742,type,
    sK349: set(nat) > nat ).

tff(func_def_1743,type,
    sK350: ( set(nat) * nat ) > nat ).

tff(func_def_1744,type,
    sK351: ( nat * fun(nat,$o) ) > nat ).

tff(func_def_1745,type,
    sK352: ( nat * fun(nat,$o) ) > nat ).

tff(func_def_1746,type,
    sK353: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_1747,type,
    sK354: fun(nat,$o) > nat ).

tff(func_def_1748,type,
    sK355: 
      !>[X0: $tType] : ( ( fun(nat,fun(X0,$o)) * fun(nat,fun(X0,fun(X0,$o))) ) > X0 ) ).

tff(func_def_1749,type,
    sK356: 
      !>[X0: $tType] : ( ( fun(nat,fun(X0,$o)) * fun(nat,fun(X0,fun(X0,$o))) ) > nat ) ).

tff(func_def_1750,type,
    sK357: 
      !>[X0: $tType] : ( ( fun(nat,fun(X0,$o)) * fun(nat,fun(X0,fun(X0,$o))) ) > fun(nat,X0) ) ).

tff(func_def_1751,type,
    sK358: nat > nat ).

tff(func_def_1752,type,
    sK359: 
      !>[X0: $tType] : ( ( X0 * X0 ) > X0 ) ).

tff(func_def_1753,type,
    sK360: product_prod(nat,nat) > nat ).

tff(func_def_1754,type,
    sK361: product_prod(nat,nat) > nat ).

tff(func_def_1755,type,
    sK362: 
      !>[X0: $tType] : ( X0 > X0 ) ).

tff(func_def_1756,type,
    sK363: 
      !>[X0: $tType] : ( X0 > X0 ) ).

tff(func_def_1757,type,
    sK364: 
      !>[X0: $tType] : ( X0 > X0 ) ).

tff(func_def_1758,type,
    sK365: 
      !>[X0: $tType] : ( X0 > X0 ) ).

tff(func_def_1759,type,
    sK366: 
      !>[X0: $tType] : ( ( X0 * X0 * fun(X0,$o) ) > X0 ) ).

tff(func_def_1760,type,
    sK367: 
      !>[X0: $tType] : ( ( X0 * fun(X0,$o) * X0 ) > X0 ) ).

tff(func_def_1761,type,
    sK368: 
      !>[X0: $tType] : ( ( fun(X0,$o) * list(X0) * X0 ) > nat ) ).

tff(func_def_1762,type,
    sK369: 
      !>[X0: $tType] : ( ( fun(X0,$o) * list(X0) * nat ) > nat ) ).

tff(func_def_1763,type,
    sK370: 
      !>[X0: $tType] : ( ( X0 * fun(X0,$o) * list(X0) ) > nat ) ).

tff(func_def_1764,type,
    sK371: 
      !>[X0: $tType] : ( ( fun(X0,$o) * list(X0) * nat ) > nat ) ).

tff(func_def_1765,type,
    sK372: 
      !>[X0: $tType] : ( ( list(X0) * fun(X0,$o) * fun(X0,$o) ) > X0 ) ).

tff(func_def_1766,type,
    sK373: 
      !>[X0: $tType] : ( X0 > X0 ) ).

tff(func_def_1767,type,
    sK374: 
      !>[X0: $tType] : ( ( fun(X0,$o) * fun(X0,$o) * fun(X0,$o) * fun(X0,$o) ) > X0 ) ).

tff(func_def_1768,type,
    sK375: 
      !>[X0: $tType] : ( ( fun(X0,$o) * fun(X0,$o) * X0 ) > X0 ) ).

tff(func_def_1769,type,
    sK376: 
      !>[X0: $tType] : ( ( fun(X0,$o) * fun(X0,$o) * X0 ) > X0 ) ).

tff(func_def_1770,type,
    sK379: 
      !>[X0: $tType] : ( ( fun(X0,$o) * fun(X0,$o) * fun(X0,$o) * fun(X0,$o) ) > X0 ) ).

tff(func_def_1771,type,
    sK380: 
      !>[X0: $tType] : ( ( fun(X0,$o) * fun(X0,$o) * X0 ) > X0 ) ).

tff(func_def_1772,type,
    sK381: 
      !>[X0: $tType] : ( ( fun(X0,$o) * fun(X0,$o) * X0 ) > X0 ) ).

tff(func_def_1773,type,
    sK384: 
      !>[X0: $tType] : ( X0 > X0 ) ).

tff(func_def_1774,type,
    sK385: 
      !>[X0: $tType] : ( X0 > X0 ) ).

tff(func_def_1775,type,
    sK386: 
      !>[X0: $tType] : ( X0 > X0 ) ).

tff(func_def_1776,type,
    sK387: 
      !>[X0: $tType] : ( X0 > X0 ) ).

tff(func_def_1777,type,
    sK388: 
      !>[X0: $tType,X1: $tType] : ( X1 > X0 ) ).

tff(func_def_1778,type,
    sK389: 
      !>[X0: $tType] : ( ( fun(X0,$o) * fun(X0,$o) * fun(X0,$o) * fun(X0,$o) ) > X0 ) ).

tff(func_def_1779,type,
    sK390: 
      !>[X0: $tType] : ( ( fun(X0,$o) * fun(X0,$o) * X0 ) > X0 ) ).

tff(func_def_1780,type,
    sK391: 
      !>[X0: $tType] : ( ( fun(X0,$o) * fun(X0,$o) * X0 ) > X0 ) ).

tff(func_def_1781,type,
    sK394: 
      !>[X0: $tType] : ( ( fun(X0,$o) * fun(X0,$o) * fun(X0,$o) * fun(X0,$o) ) > X0 ) ).

tff(func_def_1782,type,
    sK395: 
      !>[X0: $tType] : ( ( fun(X0,$o) * fun(X0,$o) * X0 ) > X0 ) ).

tff(func_def_1783,type,
    sK396: 
      !>[X0: $tType] : ( ( fun(X0,$o) * fun(X0,$o) * X0 ) > X0 ) ).

tff(func_def_1784,type,
    sK399: 
      !>[X0: $tType] : ( X0 > X0 ) ).

tff(func_def_1785,type,
    sK400: 
      !>[X0: $tType] : ( X0 > X0 ) ).

tff(func_def_1786,type,
    sK401: 
      !>[X0: $tType] : ( X0 > X0 ) ).

tff(func_def_1787,type,
    sK402: 
      !>[X0: $tType] : ( X0 > X0 ) ).

tff(func_def_1788,type,
    sK403: 
      !>[X0: $tType,X1: $tType] : ( X1 > X0 ) ).

tff(func_def_1789,type,
    sK404: 
      !>[X0: $tType] : ( ( fun(X0,$o) * list(X0) ) > X0 ) ).

tff(func_def_1790,type,
    sK405: 
      !>[X0: $tType] : ( ( fun(X0,$o) * list(X0) ) > X0 ) ).

tff(func_def_1791,type,
    sK408: product_prod(vEBT_VEBT,nat) > nat ).

tff(func_def_1792,type,
    sK409: product_prod(vEBT_VEBT,nat) > nat ).

tff(func_def_1793,type,
    sK410: product_prod(vEBT_VEBT,nat) > list(vEBT_VEBT) ).

tff(func_def_1794,type,
    sK411: product_prod(vEBT_VEBT,nat) > vEBT_VEBT ).

tff(func_def_1795,type,
    sK412: product_prod(vEBT_VEBT,nat) > nat ).

tff(func_def_1796,type,
    sK413: product_prod(vEBT_VEBT,nat) > product_prod(nat,nat) ).

tff(func_def_1797,type,
    sK414: product_prod(vEBT_VEBT,nat) > list(vEBT_VEBT) ).

tff(func_def_1798,type,
    sK415: product_prod(vEBT_VEBT,nat) > vEBT_VEBT ).

tff(func_def_1799,type,
    sK416: product_prod(vEBT_VEBT,nat) > nat ).

tff(func_def_1800,type,
    sK417: product_prod(vEBT_VEBT,nat) > product_prod(nat,nat) ).

tff(func_def_1801,type,
    sK418: product_prod(vEBT_VEBT,nat) > list(vEBT_VEBT) ).

tff(func_def_1802,type,
    sK419: product_prod(vEBT_VEBT,nat) > vEBT_VEBT ).

tff(func_def_1803,type,
    sK420: product_prod(vEBT_VEBT,nat) > nat ).

tff(func_def_1804,type,
    sK421: product_prod(vEBT_VEBT,nat) > nat ).

tff(func_def_1805,type,
    sK422: product_prod(vEBT_VEBT,nat) > nat ).

tff(func_def_1806,type,
    sK423: product_prod(vEBT_VEBT,nat) > nat ).

tff(func_def_1807,type,
    sK424: product_prod(vEBT_VEBT,nat) > list(vEBT_VEBT) ).

tff(func_def_1808,type,
    sK425: product_prod(vEBT_VEBT,nat) > vEBT_VEBT ).

tff(func_def_1809,type,
    sK426: product_prod(vEBT_VEBT,nat) > nat ).

tff(func_def_1810,type,
    sK429: product_prod(vEBT_VEBT,nat) > nat ).

tff(func_def_1811,type,
    sK430: product_prod(vEBT_VEBT,nat) > list(vEBT_VEBT) ).

tff(func_def_1812,type,
    sK431: product_prod(vEBT_VEBT,nat) > vEBT_VEBT ).

tff(func_def_1813,type,
    sK432: product_prod(vEBT_VEBT,nat) > nat ).

tff(func_def_1814,type,
    sK433: product_prod(vEBT_VEBT,nat) > nat ).

tff(func_def_1815,type,
    sK434: product_prod(vEBT_VEBT,nat) > nat ).

tff(func_def_1816,type,
    sK435: product_prod(vEBT_VEBT,nat) > list(vEBT_VEBT) ).

tff(func_def_1817,type,
    sK436: product_prod(vEBT_VEBT,nat) > vEBT_VEBT ).

tff(func_def_1818,type,
    sK437: product_prod(vEBT_VEBT,nat) > nat ).

tff(func_def_1819,type,
    sK438: product_prod(vEBT_VEBT,nat) > nat ).

tff(func_def_1820,type,
    sK439: product_prod(vEBT_VEBT,nat) > nat ).

tff(func_def_1821,type,
    sK440: product_prod(vEBT_VEBT,nat) > nat ).

tff(func_def_1822,type,
    sK441: product_prod(vEBT_VEBT,nat) > list(vEBT_VEBT) ).

tff(func_def_1823,type,
    sK442: product_prod(vEBT_VEBT,nat) > vEBT_VEBT ).

tff(func_def_1824,type,
    sK443: product_prod(vEBT_VEBT,nat) > nat ).

tff(func_def_1825,type,
    sK444: product_prod(vEBT_VEBT,nat) > nat ).

tff(func_def_1826,type,
    sK445: product_prod(vEBT_VEBT,nat) > list(vEBT_VEBT) ).

tff(func_def_1827,type,
    sK446: product_prod(vEBT_VEBT,nat) > vEBT_VEBT ).

tff(func_def_1828,type,
    sK447: product_prod(vEBT_VEBT,nat) > nat ).

tff(func_def_1829,type,
    sK448: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) * set(product_prod(X0,X0)) ) > X0 ) ).

tff(func_def_1830,type,
    sK449: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) * set(product_prod(X0,X0)) ) > nat ) ).

tff(func_def_1831,type,
    sK455: nat > nat ).

tff(func_def_1832,type,
    sK458: product_prod(vEBT_VEBT,nat) > nat ).

tff(func_def_1833,type,
    sK459: product_prod(vEBT_VEBT,nat) > option(product_prod(nat,nat)) ).

tff(func_def_1834,type,
    sK460: product_prod(vEBT_VEBT,nat) > nat ).

tff(func_def_1835,type,
    sK461: product_prod(vEBT_VEBT,nat) > list(vEBT_VEBT) ).

tff(func_def_1836,type,
    sK462: product_prod(vEBT_VEBT,nat) > vEBT_VEBT ).

tff(func_def_1837,type,
    sK463: product_prod(vEBT_VEBT,nat) > nat ).

tff(func_def_1838,type,
    sK464: vEBT_VEBT > option(product_prod(nat,nat)) ).

tff(func_def_1839,type,
    sK465: vEBT_VEBT > nat ).

tff(func_def_1840,type,
    sK466: vEBT_VEBT > list(vEBT_VEBT) ).

tff(func_def_1841,type,
    sK467: vEBT_VEBT > vEBT_VEBT ).

tff(func_def_1842,type,
    sK470: ( list(vEBT_VEBT) * nat ) > vEBT_VEBT ).

tff(func_def_1843,type,
    sK471: vEBT_VEBT > nat ).

tff(func_def_1844,type,
    sK472: list(vEBT_VEBT) > vEBT_VEBT ).

tff(func_def_1845,type,
    sK473: list(vEBT_VEBT) > nat ).

tff(func_def_1846,type,
    sK474: ( list(vEBT_VEBT) * nat ) > vEBT_VEBT ).

tff(func_def_1847,type,
    sK475: vEBT_VEBT > nat ).

tff(func_def_1848,type,
    sK476: list(vEBT_VEBT) > vEBT_VEBT ).

tff(func_def_1849,type,
    sK477: list(vEBT_VEBT) > nat ).

tff(func_def_1850,type,
    sK478: 
      !>[X0: $tType,X1: $tType] : ( ( list(X0) * list(X1) * X1 ) > X0 ) ).

tff(func_def_1851,type,
    sK479: 
      !>[X0: $tType,X1: $tType] : ( ( list(X0) * list(X1) * X0 ) > X1 ) ).

tff(func_def_1852,type,
    sK482: product_prod(vEBT_VEBT,nat) > nat ).

tff(func_def_1853,type,
    sK483: product_prod(vEBT_VEBT,nat) > option(product_prod(nat,nat)) ).

tff(func_def_1854,type,
    sK484: product_prod(vEBT_VEBT,nat) > list(vEBT_VEBT) ).

tff(func_def_1855,type,
    sK485: product_prod(vEBT_VEBT,nat) > vEBT_VEBT ).

tff(func_def_1856,type,
    sK486: product_prod(vEBT_VEBT,nat) > nat ).

tff(func_def_1857,type,
    sK487: product_prod(vEBT_VEBT,nat) > option(product_prod(nat,nat)) ).

tff(func_def_1858,type,
    sK488: product_prod(vEBT_VEBT,nat) > nat ).

tff(func_def_1859,type,
    sK489: product_prod(vEBT_VEBT,nat) > list(vEBT_VEBT) ).

tff(func_def_1860,type,
    sK490: product_prod(vEBT_VEBT,nat) > vEBT_VEBT ).

tff(func_def_1861,type,
    sK491: product_prod(vEBT_VEBT,nat) > nat ).

tff(func_def_1862,type,
    sK492: ( vEBT_VEBT * nat ) > list(vEBT_VEBT) ).

tff(func_def_1863,type,
    sK493: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_1864,type,
    sK494: ( vEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_1865,type,
    sK495: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_1866,type,
    sK496: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_1867,type,
    sK497: ( vEBT_VEBT * nat ) > list(vEBT_VEBT) ).

tff(func_def_1868,type,
    sK498: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_1869,type,
    sK499: ( vEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_1870,type,
    sK500: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_1871,type,
    sK501: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_1872,type,
    sK502: ( vEBT_VEBT * nat ) > list(vEBT_VEBT) ).

tff(func_def_1873,type,
    sK503: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_1874,type,
    sK504: ( vEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_1875,type,
    sK505: ( vEBT_VEBT * nat ) > list(vEBT_VEBT) ).

tff(func_def_1876,type,
    sK506: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_1877,type,
    sK507: ( vEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_1878,type,
    sK512: ( list(vEBT_VEBT) * nat * vEBT_VEBT ) > nat ).

tff(func_def_1879,type,
    sK513: ( list(vEBT_VEBT) * nat ) > vEBT_VEBT ).

tff(func_def_1880,type,
    sK516: ( list(vEBT_VEBT) * nat * nat * nat ) > nat ).

tff(func_def_1881,type,
    sK517: list(vEBT_VEBT) > vEBT_VEBT ).

tff(func_def_1882,type,
    sK518: ( list(vEBT_VEBT) * nat * vEBT_VEBT ) > nat ).

tff(func_def_1883,type,
    sK519: ( list(vEBT_VEBT) * nat ) > vEBT_VEBT ).

tff(func_def_1884,type,
    sK520: list(vEBT_VEBT) > vEBT_VEBT ).

tff(func_def_1885,type,
    sK521: vEBT_VEBT > nat ).

tff(func_def_1886,type,
    sK522: ( list(vEBT_VEBT) * nat ) > vEBT_VEBT ).

tff(func_def_1887,type,
    sK523: list(vEBT_VEBT) > vEBT_VEBT ).

tff(func_def_1888,type,
    sK524: vEBT_VEBT > nat ).

tff(func_def_1889,type,
    sK525: ( list(vEBT_VEBT) * nat ) > vEBT_VEBT ).

tff(func_def_1890,type,
    sK528: ( list(vEBT_VEBT) * nat * nat * nat ) > nat ).

tff(func_def_1891,type,
    sK529: list(vEBT_VEBT) > vEBT_VEBT ).

tff(func_def_1892,type,
    sK534: list(vEBT_VEBT) > nat ).

tff(func_def_1893,type,
    sK535: list(vEBT_VEBT) > nat ).

tff(func_def_1894,type,
    sK536: vEBT_VEBT > nat ).

tff(func_def_1895,type,
    sK537: ( list(vEBT_VEBT) * nat ) > nat ).

tff(func_def_1896,type,
    sK540: ( list(vEBT_VEBT) * nat * nat * nat * nat ) > nat ).

tff(func_def_1897,type,
    sK541: vEBT_VEBT > nat ).

tff(func_def_1898,type,
    sK542: ( list(vEBT_VEBT) * nat ) > nat ).

tff(func_def_1899,type,
    sK543: ( list(vEBT_VEBT) * nat * nat * nat * nat ) > nat ).

tff(func_def_1900,type,
    sK544: ( vEBT_VEBT * nat ) > list(vEBT_VEBT) ).

tff(func_def_1901,type,
    sK545: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_1902,type,
    sK546: ( vEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_1903,type,
    sK547: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_1904,type,
    sK548: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_1905,type,
    sK549: ( vEBT_VEBT * nat ) > list(vEBT_VEBT) ).

tff(func_def_1906,type,
    sK550: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_1907,type,
    sK551: ( vEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_1908,type,
    sK552: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_1909,type,
    sK553: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_1910,type,
    sK554: ( vEBT_VEBT * nat ) > list(vEBT_VEBT) ).

tff(func_def_1911,type,
    sK555: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_1912,type,
    sK556: ( vEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_1913,type,
    sK557: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_1914,type,
    sK558: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_1915,type,
    sK559: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_1916,type,
    sK560: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_1917,type,
    sK561: ( vEBT_VEBT * nat ) > list(vEBT_VEBT) ).

tff(func_def_1918,type,
    sK562: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_1919,type,
    sK563: ( vEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_1920,type,
    sK564: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_1921,type,
    sK565: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_1922,type,
    sK566: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_1923,type,
    sK567: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_1924,type,
    sK574: ( list(vEBT_VEBT) * nat ) > nat ).

tff(func_def_1925,type,
    sK575: ( list(vEBT_VEBT) * nat ) > nat ).

tff(func_def_1926,type,
    sK578: vEBT_VEBT > nat ).

tff(func_def_1927,type,
    sK579: vEBT_VEBT > list(vEBT_VEBT) ).

tff(func_def_1928,type,
    sK580: vEBT_VEBT > vEBT_VEBT ).

tff(func_def_1929,type,
    sK581: vEBT_VEBT > product_prod(nat,nat) ).

tff(func_def_1930,type,
    sK582: vEBT_VEBT > nat ).

tff(func_def_1931,type,
    sK583: vEBT_VEBT > list(vEBT_VEBT) ).

tff(func_def_1932,type,
    sK584: vEBT_VEBT > vEBT_VEBT ).

tff(func_def_1933,type,
    sK585: ( list(vEBT_VEBT) * nat ) > vEBT_VEBT ).

tff(func_def_1934,type,
    sK586: ( list(vEBT_VEBT) * vEBT_VEBT * nat ) > nat ).

tff(func_def_1935,type,
    sK587: list(vEBT_VEBT) > vEBT_VEBT ).

tff(func_def_1936,type,
    sK588: ( list(vEBT_VEBT) * nat * nat * nat * nat ) > nat ).

tff(func_def_1937,type,
    sK593: ( list(vEBT_VEBT) * nat ) > nat ).

tff(func_def_1938,type,
    sK594: vEBT_VEBT > nat ).

tff(func_def_1939,type,
    sK595: ( list(vEBT_VEBT) * nat * nat * nat * nat ) > nat ).

tff(func_def_1940,type,
    sK598: vEBT_VEBT > product_prod(nat,nat) ).

tff(func_def_1941,type,
    sK599: vEBT_VEBT > nat ).

tff(func_def_1942,type,
    sK600: vEBT_VEBT > list(vEBT_VEBT) ).

tff(func_def_1943,type,
    sK601: vEBT_VEBT > vEBT_VEBT ).

tff(func_def_1944,type,
    sK602: vEBT_VEBT > nat ).

tff(func_def_1945,type,
    sK603: vEBT_VEBT > list(vEBT_VEBT) ).

tff(func_def_1946,type,
    sK604: vEBT_VEBT > vEBT_VEBT ).

tff(func_def_1947,type,
    sK605: ( list(vEBT_VEBT) * nat ) > vEBT_VEBT ).

tff(func_def_1948,type,
    sK606: ( list(vEBT_VEBT) * vEBT_VEBT * nat ) > nat ).

tff(func_def_1949,type,
    sK607: list(vEBT_VEBT) > vEBT_VEBT ).

tff(func_def_1950,type,
    sK608: ( list(vEBT_VEBT) * nat * nat * nat * nat ) > nat ).

tff(func_def_1951,type,
    sK613: ( list(vEBT_VEBT) * nat ) > nat ).

tff(func_def_1952,type,
    sK614: vEBT_VEBT > nat ).

tff(func_def_1953,type,
    sK615: ( list(vEBT_VEBT) * nat * nat * nat * nat ) > nat ).

tff(func_def_1954,type,
    sK618: vEBT_VEBT > nat ).

tff(func_def_1955,type,
    sK619: vEBT_VEBT > list(vEBT_VEBT) ).

tff(func_def_1956,type,
    sK620: vEBT_VEBT > vEBT_VEBT ).

tff(func_def_1957,type,
    sK621: vEBT_VEBT > nat ).

tff(func_def_1958,type,
    sK622: vEBT_VEBT > nat ).

tff(func_def_1959,type,
    sK623: vEBT_VEBT > nat ).

tff(func_def_1960,type,
    sK624: vEBT_VEBT > list(vEBT_VEBT) ).

tff(func_def_1961,type,
    sK625: vEBT_VEBT > vEBT_VEBT ).

tff(func_def_1962,type,
    sK632: vEBT_VEBT > nat ).

tff(func_def_1963,type,
    sK633: vEBT_VEBT > list(vEBT_VEBT) ).

tff(func_def_1964,type,
    sK634: vEBT_VEBT > vEBT_VEBT ).

tff(func_def_1965,type,
    sK635: vEBT_VEBT > product_prod(nat,nat) ).

tff(func_def_1966,type,
    sK636: vEBT_VEBT > nat ).

tff(func_def_1967,type,
    sK637: vEBT_VEBT > list(vEBT_VEBT) ).

tff(func_def_1968,type,
    sK638: vEBT_VEBT > vEBT_VEBT ).

tff(func_def_1969,type,
    sK640: ( list(vEBT_VEBT) * nat ) > vEBT_VEBT ).

tff(func_def_1970,type,
    sK647: fun(nat,$o) > nat ).

tff(func_def_1971,type,
    sK652: ( nat * nat ) > nat ).

tff(func_def_1972,type,
    sK653: ( nat * nat ) > nat ).

tff(func_def_1973,type,
    sK656: ( vEBT_VEBT * option(nat) ) > nat ).

tff(func_def_1974,type,
    sK657: ( vEBT_VEBT * option(nat) ) > nat ).

tff(func_def_1975,type,
    sK658: vEBT_VEBT > nat ).

tff(func_def_1976,type,
    sK659: vEBT_VEBT > list(vEBT_VEBT) ).

tff(func_def_1977,type,
    sK660: vEBT_VEBT > vEBT_VEBT ).

tff(func_def_1978,type,
    sK664: ( vEBT_VEBT * nat * nat ) > nat ).

tff(func_def_1979,type,
    sK665: ( vEBT_VEBT * nat * nat ) > list(vEBT_VEBT) ).

tff(func_def_1980,type,
    sK666: ( vEBT_VEBT * nat * nat ) > vEBT_VEBT ).

tff(func_def_1981,type,
    sK669: ( vEBT_VEBT * option(nat) ) > nat ).

tff(func_def_1982,type,
    sK670: vEBT_VEBT > nat ).

tff(func_def_1983,type,
    sK671: vEBT_VEBT > list(vEBT_VEBT) ).

tff(func_def_1984,type,
    sK672: vEBT_VEBT > vEBT_VEBT ).

tff(func_def_1985,type,
    sK676: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_1986,type,
    sK677: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_1987,type,
    sK678: ( vEBT_VEBT * nat ) > list(vEBT_VEBT) ).

tff(func_def_1988,type,
    sK679: ( vEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_1989,type,
    sK680: fun(nat,$o) > nat ).

tff(func_def_1990,type,
    sK681: fun(extended_enat,$o) > extended_enat ).

tff(func_def_1991,type,
    sK682: 
      !>[X0: $tType] : ( ( X0 * X0 ) > X0 ) ).

tff(func_def_1992,type,
    sK683: ( fun(nat,$o) * nat * nat ) > nat ).

tff(func_def_1993,type,
    sK684: ( fun(nat,$o) * nat * nat ) > nat ).

tff(func_def_1994,type,
    sK685: fun(nat,$o) > nat ).

tff(func_def_1995,type,
    sK686: fun(nat,$o) > nat ).

tff(func_def_1996,type,
    sK687: ( fun(nat,$o) * nat * nat ) > nat ).

tff(func_def_1997,type,
    sK688: ( fun(int,$o) * int * int ) > int ).

tff(func_def_1998,type,
    sK689: ( fun(int,$o) * int * int ) > int ).

tff(func_def_1999,type,
    sK690: ( fun(int,$o) * int * int ) > int ).

tff(func_def_2000,type,
    sK691: ( fun(int,$o) * int * int ) > int ).

tff(func_def_2001,type,
    sK693: ( int * fun(int,$o) ) > int ).

tff(func_def_2002,type,
    sK694: ( int * fun(int,$o) ) > int ).

tff(func_def_2003,type,
    sK695: ( real * nat ) > real ).

tff(func_def_2004,type,
    sK696: ( nat * real ) > real ).

tff(func_def_2005,type,
    sK697: ( nat * real ) > real ).

tff(func_def_2006,type,
    sK698: ( real * real ) > nat ).

tff(func_def_2007,type,
    sK699: ( real * real ) > nat ).

tff(func_def_2008,type,
    sK700: ( int * fun(int,$o) ) > int ).

tff(func_def_2009,type,
    sK701: 
      !>[X0: $tType] : ( ( X0 * X0 * X0 ) > X0 ) ).

tff(func_def_2010,type,
    sK702: 
      !>[X0: $tType] : ( ( X0 * X0 * X0 ) > X0 ) ).

tff(func_def_2011,type,
    sK703: 
      !>[X0: $tType] : ( ( X0 * X0 * X0 ) > X0 ) ).

tff(func_def_2012,type,
    sK704: 
      !>[X0: $tType] : ( ( X0 * X0 * X0 ) > X0 ) ).

tff(func_def_2013,type,
    sK705: 
      !>[X0: $tType] : ( ( X0 * X0 ) > X0 ) ).

tff(func_def_2014,type,
    sK706: 
      !>[X0: $tType] : ( ( X0 * X0 ) > X0 ) ).

tff(func_def_2015,type,
    sK707: 
      !>[X0: $tType] : ( ( X0 * X0 * X0 ) > X0 ) ).

tff(func_def_2016,type,
    sK708: 
      !>[X0: $tType] : ( ( X0 * X0 ) > X0 ) ).

tff(func_def_2017,type,
    sK709: 
      !>[X0: $tType] : ( ( X0 * X0 ) > X0 ) ).

tff(func_def_2018,type,
    sK710: 
      !>[X0: $tType] : ( ( X0 * X0 ) > X0 ) ).

tff(func_def_2019,type,
    sK711: 
      !>[X0: $tType] : ( ( X0 * X0 ) > X0 ) ).

tff(func_def_2020,type,
    sK712: ( fun(nat,$o) * nat ) > nat ).

tff(func_def_2021,type,
    sK713: fun(nat,fun(nat,$o)) > nat ).

tff(func_def_2022,type,
    sK714: fun(nat,fun(nat,$o)) > nat ).

tff(func_def_2023,type,
    sK715: fun(nat,fun(nat,$o)) > nat ).

tff(func_def_2024,type,
    sK716: ( nat * nat ) > nat ).

tff(func_def_2025,type,
    sK717: ( nat * nat * nat ) > nat ).

tff(func_def_2026,type,
    sK718: ( nat * nat * nat ) > nat ).

tff(func_def_2027,type,
    sK719: ( nat * nat ) > nat ).

tff(func_def_2028,type,
    sK720: ( nat * nat ) > nat ).

tff(func_def_2029,type,
    sK721: ( nat * nat ) > nat ).

tff(func_def_2030,type,
    sK722: ( nat * nat * nat ) > nat ).

tff(func_def_2031,type,
    sK723: ( nat * nat * nat ) > nat ).

tff(func_def_2032,type,
    sK724: 
      !>[X0: $tType] : ( ( X0 * X0 ) > X0 ) ).

tff(func_def_2033,type,
    sK725: 
      !>[X0: $tType] : ( ( fun(X0,$o) * X0 ) > X0 ) ).

tff(func_def_2034,type,
    sK726: 
      !>[X0: $tType] : ( ( fun(X0,$o) * X0 ) > X0 ) ).

tff(func_def_2035,type,
    sK727: ( nat * nat * nat ) > nat ).

tff(func_def_2036,type,
    sK728: ( nat * nat * nat ) > nat ).

tff(func_def_2037,type,
    sK729: ( nat * nat * nat ) > nat ).

tff(func_def_2038,type,
    sK730: ( nat * nat ) > nat ).

tff(func_def_2039,type,
    sK731: ( nat * nat ) > nat ).

tff(func_def_2040,type,
    sK732: ( nat * nat ) > nat ).

tff(func_def_2041,type,
    sK733: 
      !>[X0: $tType] : ( ( X0 * X0 ) > X0 ) ).

tff(func_def_2042,type,
    sK734: ( fun(nat,$o) * nat * nat ) > nat ).

tff(func_def_2043,type,
    sK735: ( fun(nat,$o) * nat * nat ) > nat ).

tff(func_def_2044,type,
    sK736: 
      !>[X0: $tType] : ( X0 > X0 ) ).

tff(func_def_2045,type,
    sK741: 
      !>[X0: $tType] : ( ( X0 * set(X0) ) > set(X0) ) ).

tff(func_def_2046,type,
    sK742: 
      !>[X0: $tType] : ( ( X0 * set(X0) * X0 * set(X0) ) > set(X0) ) ).

tff(func_def_2047,type,
    sK743: 
      !>[X0: $tType] : ( ( X0 * set(X0) ) > set(X0) ) ).

tff(func_def_2048,type,
    sK748: product_prod(fun(product_prod(int,fun(product_unit,code_term)),option(product_prod($o,list(code_term)))),product_prod(int,int)) > fun(product_prod(int,fun(product_unit,code_term)),option(product_prod($o,list(code_term)))) ).

tff(func_def_2049,type,
    sK749: product_prod(fun(product_prod(int,fun(product_unit,code_term)),option(product_prod($o,list(code_term)))),product_prod(int,int)) > int ).

tff(func_def_2050,type,
    sK750: product_prod(fun(product_prod(int,fun(product_unit,code_term)),option(product_prod($o,list(code_term)))),product_prod(int,int)) > int ).

tff(func_def_2051,type,
    sK751: product_prod(fun(int,option(product_prod($o,list(code_term)))),product_prod(int,int)) > fun(int,option(product_prod($o,list(code_term)))) ).

tff(func_def_2052,type,
    sK752: product_prod(fun(int,option(product_prod($o,list(code_term)))),product_prod(int,int)) > int ).

tff(func_def_2053,type,
    sK753: product_prod(fun(int,option(product_prod($o,list(code_term)))),product_prod(int,int)) > int ).

tff(func_def_2054,type,
    sK754: product_prod(int,int) > int ).

tff(func_def_2055,type,
    sK755: product_prod(int,int) > int ).

tff(func_def_2056,type,
    sK756: fun(nat,$o) > nat ).

tff(func_def_2057,type,
    sK757: ( nat * nat ) > nat ).

tff(func_def_2058,type,
    sK758: ( nat * nat ) > nat ).

tff(func_def_2059,type,
    sK759: ( nat * nat ) > nat ).

tff(func_def_2060,type,
    sK762: 
      !>[X0: $tType] : ( set(X0) > set(X0) ) ).

tff(func_def_2061,type,
    sK763: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_2062,type,
    sK764: 
      !>[X0: $tType] : ( set(X0) > set(X0) ) ).

tff(func_def_2063,type,
    sK765: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_2064,type,
    sK766: 
      !>[X0: $tType] : ( fun(set(X0),$o) > X0 ) ).

tff(func_def_2065,type,
    sK767: 
      !>[X0: $tType] : ( fun(set(X0),$o) > set(X0) ) ).

tff(func_def_2066,type,
    sK768: 
      !>[X0: $tType] : ( fun(set(X0),$o) > X0 ) ).

tff(func_def_2067,type,
    sK769: 
      !>[X0: $tType] : ( fun(set(X0),$o) > X0 ) ).

tff(func_def_2068,type,
    sK770: 
      !>[X0: $tType] : ( fun(set(X0),$o) > set(X0) ) ).

tff(func_def_2069,type,
    sK771: 
      !>[X0: $tType] : ( fun(set(X0),$o) > set(X0) ) ).

tff(func_def_2070,type,
    sK772: 
      !>[X0: $tType] : ( fun(set(X0),$o) > X0 ) ).

tff(func_def_2071,type,
    sK773: 
      !>[X0: $tType] : ( fun(set(X0),$o) > set(X0) ) ).

tff(func_def_2072,type,
    sK774: 
      !>[X0: $tType,X1: $tType] : ( ( fun(set(X1),$o) * fun(X1,X0) ) > X1 ) ).

tff(func_def_2073,type,
    sK775: 
      !>[X0: $tType,X1: $tType] : ( ( fun(set(X1),$o) * fun(X1,X0) ) > set(X1) ) ).

tff(func_def_2074,type,
    sK776: 
      !>[X0: $tType] : ( fun(set(X0),$o) > X0 ) ).

tff(func_def_2075,type,
    sK777: 
      !>[X0: $tType] : ( fun(set(X0),$o) > set(X0) ) ).

tff(func_def_2076,type,
    sK778: 
      !>[X0: $tType] : ( fun(set(X0),$o) > X0 ) ).

tff(func_def_2077,type,
    sK779: 
      !>[X0: $tType] : ( fun(set(X0),$o) > set(X0) ) ).

tff(func_def_2078,type,
    sK780: 
      !>[X0: $tType] : ( ( set(X0) * fun(set(X0),$o) ) > X0 ) ).

tff(func_def_2079,type,
    sK781: 
      !>[X0: $tType] : ( ( set(X0) * fun(set(X0),$o) ) > set(X0) ) ).

tff(func_def_2080,type,
    sK782: 
      !>[X0: $tType] : ( ( set(X0) * fun(set(X0),$o) ) > X0 ) ).

tff(func_def_2081,type,
    sK783: 
      !>[X0: $tType] : ( ( set(X0) * fun(set(X0),$o) ) > set(X0) ) ).

tff(func_def_2082,type,
    sK784: ( fun(nat,$o) * nat * nat ) > nat ).

tff(func_def_2083,type,
    sK785: ( fun(nat,$o) * nat * nat ) > nat ).

tff(func_def_2084,type,
    sK786: ( fun(int,$o) * int * int ) > int ).

tff(func_def_2085,type,
    sK787: ( fun(int,$o) * int * int ) > int ).

tff(func_def_2086,type,
    sK788: ( fun(int,$o) * int * int ) > int ).

tff(func_def_2087,type,
    sK789: ( fun(int,$o) * int * int ) > int ).

tff(func_def_2088,type,
    sK791: 
      !>[X0: $tType] : ( fun(X0,$o) > X0 ) ).

tff(func_def_2089,type,
    sK792: 
      !>[X0: $tType] : ( fun(X0,$o) > X0 ) ).

tff(func_def_2090,type,
    sK794: ( int * fun(int,fun(int,$o)) * int ) > int ).

tff(func_def_2091,type,
    sK795: ( int * fun(int,fun(int,$o)) * int ) > int ).

tff(func_def_2092,type,
    sK796: ( int * fun(int,fun(int,$o)) * int ) > int ).

tff(func_def_2093,type,
    sK797: ( int * fun(int,fun(int,$o)) * int ) > int ).

tff(func_def_2094,type,
    sK798: 
      !>[X0: $tType] : ( ( fun(nat,X0) * fun(nat,X0) ) > nat ) ).

tff(func_def_2095,type,
    sK799: 
      !>[X0: $tType] : ( ( set(X0) * set(X0) ) > X0 ) ).

tff(func_def_2096,type,
    sK800: ( nat * fun(nat,$o) ) > nat ).

tff(func_def_2097,type,
    sK801: ( nat * fun(nat,$o) ) > nat ).

tff(func_def_2098,type,
    sK802: ( nat * fun(nat,$o) ) > nat ).

tff(func_def_2099,type,
    sK803: ( nat * fun(nat,$o) ) > nat ).

tff(func_def_2100,type,
    sK804: ( int * fun(int,$o) ) > int ).

tff(func_def_2101,type,
    sK805: ( int * fun(int,$o) ) > int ).

tff(func_def_2102,type,
    sK806: 
      !>[X0: $tType] : ( fun(set(X0),$o) > X0 ) ).

tff(func_def_2103,type,
    sK807: 
      !>[X0: $tType] : ( fun(set(X0),$o) > set(X0) ) ).

tff(func_def_2104,type,
    sK808: 
      !>[X0: $tType] : ( fun(set(X0),$o) > set(X0) ) ).

tff(func_def_2105,type,
    sK809: ( int * fun(int,$o) ) > int ).

tff(func_def_2106,type,
    sK810: ( int * fun(int,$o) ) > int ).

tff(func_def_2107,type,
    sK811: fun(int,$o) > int ).

tff(func_def_2108,type,
    sK812: ( fun(int,$o) * fun(int,$o) * int ) > int ).

tff(func_def_2109,type,
    sK813: ( int * fun(int,$o) ) > int ).

tff(func_def_2110,type,
    sK814: ( int * fun(int,$o) ) > int ).

tff(func_def_2111,type,
    sK815: fun(int,$o) > int ).

tff(func_def_2112,type,
    sK816: ( fun(int,$o) * fun(int,$o) * int ) > int ).

tff(func_def_2113,type,
    sK817: ( fun(int,$o) * int ) > int ).

tff(func_def_2114,type,
    sK818: ( fun(int,$o) * int ) > int ).

tff(func_def_2115,type,
    sK819: 
      !>[X0: $tType] : ( ( fun(set(X0),$o) * set(X0) ) > set(X0) ) ).

tff(func_def_2116,type,
    sK820: 
      !>[X0: $tType] : ( ( set(X0) * fun(set(X0),$o) ) > set(X0) ) ).

tff(func_def_2117,type,
    sK821: 
      !>[X0: $tType] : ( ( set(X0) * fun(set(X0),$o) ) > set(X0) ) ).

tff(func_def_2118,type,
    sK822: ( int * fun(int,$o) ) > int ).

tff(func_def_2119,type,
    sK823: fun(real,fun(real,$o)) > real ).

tff(func_def_2120,type,
    sK824: fun(real,fun(real,$o)) > real ).

tff(func_def_2121,type,
    sK825: fun(real,fun(real,$o)) > real ).

tff(func_def_2122,type,
    sK826: ( real * real * fun(real,fun(real,$o)) ) > real ).

tff(func_def_2123,type,
    sK827: ( real * real * fun(real,fun(real,$o)) * real ) > real ).

tff(func_def_2124,type,
    sK828: ( real * real * fun(real,fun(real,$o)) * real ) > real ).

tff(func_def_2125,type,
    sK829: product_prod(num,num) > num ).

tff(func_def_2126,type,
    sK830: product_prod(num,num) > num ).

tff(func_def_2127,type,
    sK831: product_prod(num,num) > num ).

tff(func_def_2128,type,
    sK832: product_prod(num,num) > num ).

tff(func_def_2129,type,
    sK833: product_prod(num,num) > num ).

tff(func_def_2130,type,
    sK834: product_prod(num,num) > num ).

tff(func_def_2131,type,
    sK835: product_prod(num,num) > num ).

tff(func_def_2132,type,
    sK836: product_prod(num,num) > num ).

tff(func_def_2133,type,
    sK837: product_prod(num,num) > num ).

tff(func_def_2134,type,
    sK838: product_prod(num,num) > num ).

tff(func_def_2135,type,
    sK839: product_prod(num,num) > num ).

tff(func_def_2136,type,
    sK840: product_prod(num,num) > num ).

tff(func_def_2137,type,
    sK841: ( int * fun(int,$o) ) > int ).

tff(func_def_2138,type,
    sK842: ( int * fun(int,$o) ) > int ).

tff(func_def_2139,type,
    sK843: fun(int,$o) > int ).

tff(func_def_2140,type,
    sK844: ( int * fun(int,$o) ) > int ).

tff(func_def_2141,type,
    sK845: ( int * set(int) * int ) > int ).

tff(func_def_2142,type,
    sK846: ( int * set(int) * int ) > int ).

tff(func_def_2143,type,
    sK847: ( int * set(int) * int ) > int ).

tff(func_def_2144,type,
    sK848: ( int * set(int) * int ) > int ).

tff(func_def_2145,type,
    sK849: ( int * set(int) * int ) > int ).

tff(func_def_2146,type,
    sK850: ( int * set(int) * int ) > int ).

tff(func_def_2147,type,
    sK851: ( int * set(int) * int ) > int ).

tff(func_def_2148,type,
    sK852: ( int * set(int) * int ) > int ).

tff(func_def_2149,type,
    sK853: ( int * set(int) * int ) > int ).

tff(func_def_2150,type,
    sK854: ( int * set(int) * int ) > int ).

tff(func_def_2151,type,
    sK855: ( int * set(int) * int ) > int ).

tff(func_def_2152,type,
    sK856: ( int * set(int) * int ) > int ).

tff(func_def_2153,type,
    sK857: ( int * set(int) * int ) > int ).

tff(func_def_2154,type,
    sK858: ( int * set(int) * int ) > int ).

tff(func_def_2155,type,
    sK859: ( int * set(int) * int ) > int ).

tff(func_def_2156,type,
    sK860: ( int * set(int) * int ) > int ).

tff(func_def_2157,type,
    sK861: ( int * set(int) * int ) > int ).

tff(func_def_2158,type,
    sK862: ( int * set(int) * int ) > int ).

tff(func_def_2159,type,
    sK863: ( int * set(int) * int ) > int ).

tff(func_def_2160,type,
    sK864: ( int * set(int) * int ) > int ).

tff(func_def_2161,type,
    sK865: ( int * set(int) * int ) > int ).

tff(func_def_2162,type,
    sK866: ( int * set(int) * int ) > int ).

tff(func_def_2163,type,
    sK867: ( int * set(int) * int ) > int ).

tff(func_def_2164,type,
    sK868: ( int * set(int) * int ) > int ).

tff(func_def_2165,type,
    sK869: ( int * fun(int,$o) * set(int) ) > int ).

tff(func_def_2166,type,
    sK870: ( int * fun(int,$o) ) > int ).

tff(func_def_2167,type,
    sK871: ( int * fun(int,$o) ) > int ).

tff(func_def_2168,type,
    sK872: ( fun(int,$o) * fun(int,$o) * int ) > int ).

tff(func_def_2169,type,
    sK878: fun(int,$o) > int ).

tff(func_def_2170,type,
    sK879: ( int * fun(int,$o) * set(int) ) > int ).

tff(func_def_2171,type,
    sK880: ( int * fun(int,$o) ) > int ).

tff(func_def_2172,type,
    sK881: ( int * fun(int,$o) * set(int) ) > int ).

tff(func_def_2173,type,
    sK882: ( int * fun(int,$o) * set(int) ) > int ).

tff(func_def_2174,type,
    sK883: ( int * fun(int,$o) ) > int ).

tff(func_def_2175,type,
    sK884: ( int * fun(int,$o) ) > int ).

tff(func_def_2176,type,
    sK885: ( fun(int,$o) * fun(int,$o) * int ) > int ).

tff(func_def_2177,type,
    sK891: fun(int,$o) > int ).

tff(func_def_2178,type,
    sK892: ( int * fun(int,$o) * set(int) ) > int ).

tff(func_def_2179,type,
    sK893: ( int * fun(int,$o) ) > int ).

tff(func_def_2180,type,
    sK894: ( int * fun(int,$o) * set(int) ) > int ).

tff(func_def_2181,type,
    sK895: fun(int,fun(int,$o)) > int ).

tff(func_def_2182,type,
    sK896: fun(int,fun(int,$o)) > int ).

tff(func_def_2183,type,
    sK897: fun(int,fun(int,$o)) > int ).

tff(func_def_2184,type,
    sK898: fun(int,fun(int,$o)) > int ).

tff(func_def_2185,type,
    sK899: 
      !>[X0: $tType] : ( ( X0 * X0 ) > nat ) ).

tff(func_def_2186,type,
    sK900: 
      !>[X0: $tType] : ( X0 > int ) ).

tff(func_def_2187,type,
    sK901: 
      !>[X0: $tType] : ( X0 > int ) ).

tff(func_def_2188,type,
    sK902: 
      !>[X0: $tType] : ( X0 > int ) ).

tff(func_def_2189,type,
    sK903: 
      !>[X0: $tType] : ( X0 > int ) ).

tff(func_def_2190,type,
    sK904: 
      !>[X0: $tType] : ( X0 > int ) ).

tff(func_def_2191,type,
    sK905: int > nat ).

tff(func_def_2192,type,
    sK906: 
      !>[X0: $tType] : ( X0 > nat ) ).

tff(func_def_2193,type,
    sK907: 
      !>[X0: $tType] : ( ( fun(int,$o) * X0 ) > int ) ).

tff(func_def_2194,type,
    sK914: vEBT_VEBT > nat ).

tff(func_def_2195,type,
    sK915: vEBT_VEBT > list(vEBT_VEBT) ).

tff(func_def_2196,type,
    sK916: vEBT_VEBT > vEBT_VEBT ).

tff(func_def_2197,type,
    sK917: vEBT_VEBT > product_prod(nat,nat) ).

tff(func_def_2198,type,
    sK918: vEBT_VEBT > list(vEBT_VEBT) ).

tff(func_def_2199,type,
    sK919: vEBT_VEBT > vEBT_VEBT ).

tff(func_def_2200,type,
    sK920: vEBT_VEBT > product_prod(nat,nat) ).

tff(func_def_2201,type,
    sK921: vEBT_VEBT > list(vEBT_VEBT) ).

tff(func_def_2202,type,
    sK922: vEBT_VEBT > vEBT_VEBT ).

tff(func_def_2203,type,
    sK923: ( vEBT_VEBT * nat * $o ) > nat ).

tff(func_def_2204,type,
    sK924: ( vEBT_VEBT * nat * $o ) > nat ).

tff(func_def_2205,type,
    sK925: ( vEBT_VEBT * nat * $o ) > nat ).

tff(func_def_2206,type,
    sK926: ( vEBT_VEBT * nat * $o ) > list(vEBT_VEBT) ).

tff(func_def_2207,type,
    sK927: ( vEBT_VEBT * nat * $o ) > vEBT_VEBT ).

tff(func_def_2208,type,
    sK928: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,$o) * fun(X0,fun(X1,$o)) ) > X1 ) ).

tff(func_def_2209,type,
    sK929: 
      !>[X0: $tType,X1: $tType] : ( ( set(product_prod(X1,X0)) * set(product_prod(X1,X0)) ) > X1 ) ).

tff(func_def_2210,type,
    sK930: 
      !>[X0: $tType,X1: $tType] : ( ( set(product_prod(X1,X0)) * set(product_prod(X1,X0)) ) > X0 ) ).

tff(func_def_2211,type,
    sK931: 
      !>[X0: $tType] : ( fun(X0,$o) > X0 ) ).

tff(func_def_2212,type,
    sK932: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * set(X1) * fun(X0,fun(X1,$o)) ) > X0 ) ).

tff(func_def_2213,type,
    sK933: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * set(X1) * fun(X0,fun(X1,$o)) ) > X1 ) ).

tff(func_def_2214,type,
    sK934: fun(nat,nat) > nat ).

tff(func_def_2215,type,
    sK935: ( nat * vEBT_VEBT ) > nat ).

tff(func_def_2216,type,
    sK938: ( vEBT_VEBT * nat * $o ) > option(product_prod(nat,nat)) ).

tff(func_def_2217,type,
    sK939: ( vEBT_VEBT * nat * $o ) > nat ).

tff(func_def_2218,type,
    sK940: ( vEBT_VEBT * nat * $o ) > list(vEBT_VEBT) ).

tff(func_def_2219,type,
    sK941: vEBT_VEBT > option(product_prod(nat,nat)) ).

tff(func_def_2220,type,
    sK942: vEBT_VEBT > list(vEBT_VEBT) ).

tff(func_def_2221,type,
    sK943: vEBT_VEBT > vEBT_VEBT ).

tff(func_def_2222,type,
    sK950: ( vEBT_VEBT * option(product_prod(nat,nat)) * nat * list(vEBT_VEBT) ) > vEBT_VEBT ).

tff(func_def_2223,type,
    sK953: ( vEBT_VEBT * nat ) > option(product_prod(nat,nat)) ).

tff(func_def_2224,type,
    sK954: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_2225,type,
    sK955: ( vEBT_VEBT * nat ) > list(vEBT_VEBT) ).

tff(func_def_2226,type,
    sK956: ( vEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_2227,type,
    sK960: vEBT_VEBT > option(product_prod(nat,nat)) ).

tff(func_def_2228,type,
    sK961: vEBT_VEBT > list(vEBT_VEBT) ).

tff(func_def_2229,type,
    sK962: vEBT_VEBT > vEBT_VEBT ).

tff(func_def_2230,type,
    sK963: ( vEBT_VEBT * nat ) > option(product_prod(nat,nat)) ).

tff(func_def_2231,type,
    sK964: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_2232,type,
    sK965: ( vEBT_VEBT * nat ) > list(vEBT_VEBT) ).

tff(func_def_2233,type,
    sK966: ( vEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_2234,type,
    sK968: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_2235,type,
    sK969: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_2236,type,
    sK970: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_2237,type,
    sK971: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_2238,type,
    sK972: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_2239,type,
    sK973: ( vEBT_VEBT * nat ) > list(vEBT_VEBT) ).

tff(func_def_2240,type,
    sK974: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_2241,type,
    sK975: ( vEBT_VEBT * nat ) > list(vEBT_VEBT) ).

tff(func_def_2242,type,
    sK976: ( vEBT_VEBT * nat ) > list(vEBT_VEBT) ).

tff(func_def_2243,type,
    sK977: ( vEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_2244,type,
    sK978: ( vEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_2245,type,
    sK979: ( vEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_2246,type,
    sK984: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_2247,type,
    sK985: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_2248,type,
    sK986: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_2249,type,
    sK987: ( vEBT_VEBT * nat ) > list(vEBT_VEBT) ).

tff(func_def_2250,type,
    sK988: ( vEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_2251,type,
    sK996: vEBT_VEBT > list(vEBT_VEBT) ).

tff(func_def_2252,type,
    sK997: vEBT_VEBT > vEBT_VEBT ).

tff(func_def_2253,type,
    sK998: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_2254,type,
    sK999: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_2255,type,
    sK1000: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_2256,type,
    sK1001: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_2257,type,
    sK1002: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_2258,type,
    sK1003: ( vEBT_VEBT * nat ) > list(vEBT_VEBT) ).

tff(func_def_2259,type,
    sK1004: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_2260,type,
    sK1005: ( vEBT_VEBT * nat ) > list(vEBT_VEBT) ).

tff(func_def_2261,type,
    sK1010: ( vEBT_VEBT * nat ) > list(vEBT_VEBT) ).

tff(func_def_2262,type,
    sK1011: ( vEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_2263,type,
    sK1012: ( vEBT_VEBT * nat * nat * nat * list(vEBT_VEBT) ) > vEBT_VEBT ).

tff(func_def_2264,type,
    sK1013: ( vEBT_VEBT * nat * list(vEBT_VEBT) ) > vEBT_VEBT ).

tff(func_def_2265,type,
    sK1014: ( vEBT_VEBT * nat * $o ) > nat ).

tff(func_def_2266,type,
    sK1015: ( vEBT_VEBT * nat * $o ) > nat ).

tff(func_def_2267,type,
    sK1016: ( vEBT_VEBT * nat * $o ) > nat ).

tff(func_def_2268,type,
    sK1017: ( vEBT_VEBT * nat * $o ) > nat ).

tff(func_def_2269,type,
    sK1018: ( vEBT_VEBT * nat * $o ) > nat ).

tff(func_def_2270,type,
    sK1019: ( vEBT_VEBT * nat * $o ) > list(vEBT_VEBT) ).

tff(func_def_2271,type,
    sK1020: ( vEBT_VEBT * nat * $o ) > nat ).

tff(func_def_2272,type,
    sK1021: ( vEBT_VEBT * nat * $o ) > list(vEBT_VEBT) ).

tff(func_def_2273,type,
    sK1024: vEBT_VEBT > list(vEBT_VEBT) ).

tff(func_def_2274,type,
    sK1025: vEBT_VEBT > vEBT_VEBT ).

tff(func_def_2275,type,
    sK1032: ( vEBT_VEBT * nat * nat ) > list(vEBT_VEBT) ).

tff(func_def_2276,type,
    sK1033: ( vEBT_VEBT * nat * nat ) > vEBT_VEBT ).

tff(func_def_2277,type,
    sK1034: ( vEBT_VEBT * nat * nat * nat * list(vEBT_VEBT) ) > vEBT_VEBT ).

tff(func_def_2278,type,
    sK1035: ( vEBT_VEBT * nat * list(vEBT_VEBT) ) > vEBT_VEBT ).

tff(func_def_2279,type,
    sK1038: vEBT_VEBT > nat ).

tff(func_def_2280,type,
    sK1039: vEBT_VEBT > list(vEBT_VEBT) ).

tff(func_def_2281,type,
    sK1040: vEBT_VEBT > vEBT_VEBT ).

tff(func_def_2282,type,
    sK1041: vEBT_VEBT > product_prod(nat,nat) ).

tff(func_def_2283,type,
    sK1042: vEBT_VEBT > list(vEBT_VEBT) ).

tff(func_def_2284,type,
    sK1043: vEBT_VEBT > vEBT_VEBT ).

tff(func_def_2285,type,
    sK1044: vEBT_VEBT > product_prod(nat,nat) ).

tff(func_def_2286,type,
    sK1045: vEBT_VEBT > list(vEBT_VEBT) ).

tff(func_def_2287,type,
    sK1046: vEBT_VEBT > vEBT_VEBT ).

tff(func_def_2288,type,
    sK1047: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_2289,type,
    sK1048: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_2290,type,
    sK1049: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_2291,type,
    sK1050: ( vEBT_VEBT * nat ) > list(vEBT_VEBT) ).

tff(func_def_2292,type,
    sK1051: ( vEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_2293,type,
    sK1059: ( vEBT_VEBT * nat * $o ) > nat ).

tff(func_def_2294,type,
    sK1060: ( vEBT_VEBT * nat * $o ) > list(vEBT_VEBT) ).

tff(func_def_2295,type,
    sK1061: ( vEBT_VEBT * nat * $o ) > vEBT_VEBT ).

tff(func_def_2296,type,
    sK1062: ( vEBT_VEBT * nat * $o ) > product_prod(nat,nat) ).

tff(func_def_2297,type,
    sK1063: ( vEBT_VEBT * nat * $o ) > list(vEBT_VEBT) ).

tff(func_def_2298,type,
    sK1064: ( vEBT_VEBT * nat * $o ) > vEBT_VEBT ).

tff(func_def_2299,type,
    sK1065: ( vEBT_VEBT * nat * $o ) > product_prod(nat,nat) ).

tff(func_def_2300,type,
    sK1066: ( vEBT_VEBT * nat * $o ) > list(vEBT_VEBT) ).

tff(func_def_2301,type,
    sK1067: ( vEBT_VEBT * nat * $o ) > vEBT_VEBT ).

tff(func_def_2302,type,
    sK1068: ( vEBT_VEBT * nat * $o ) > nat ).

tff(func_def_2303,type,
    sK1069: ( vEBT_VEBT * nat * $o ) > nat ).

tff(func_def_2304,type,
    sK1070: ( vEBT_VEBT * nat * $o ) > nat ).

tff(func_def_2305,type,
    sK1071: ( vEBT_VEBT * nat * $o ) > list(vEBT_VEBT) ).

tff(func_def_2306,type,
    sK1072: ( vEBT_VEBT * nat * $o ) > vEBT_VEBT ).

tff(func_def_2307,type,
    sK1085: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_2308,type,
    sK1086: ( vEBT_VEBT * nat ) > list(vEBT_VEBT) ).

tff(func_def_2309,type,
    sK1087: ( vEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_2310,type,
    sK1088: ( vEBT_VEBT * nat ) > product_prod(nat,nat) ).

tff(func_def_2311,type,
    sK1089: ( vEBT_VEBT * nat ) > list(vEBT_VEBT) ).

tff(func_def_2312,type,
    sK1090: ( vEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_2313,type,
    sK1091: ( vEBT_VEBT * nat ) > product_prod(nat,nat) ).

tff(func_def_2314,type,
    sK1092: ( vEBT_VEBT * nat ) > list(vEBT_VEBT) ).

tff(func_def_2315,type,
    sK1093: ( vEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_2316,type,
    sK1094: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_2317,type,
    sK1095: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_2318,type,
    sK1096: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_2319,type,
    sK1097: ( vEBT_VEBT * nat ) > list(vEBT_VEBT) ).

tff(func_def_2320,type,
    sK1098: ( vEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_2321,type,
    sK1107: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_2322,type,
    sK1108: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_2323,type,
    sK1109: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_2324,type,
    sK1110: ( vEBT_VEBT * nat ) > list(vEBT_VEBT) ).

tff(func_def_2325,type,
    sK1111: ( vEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_2326,type,
    sK1119: ( vEBT_VEBT * nat * $o ) > option(product_prod(nat,nat)) ).

tff(func_def_2327,type,
    sK1120: ( vEBT_VEBT * nat * $o ) > list(vEBT_VEBT) ).

tff(func_def_2328,type,
    sK1121: ( vEBT_VEBT * nat * $o ) > vEBT_VEBT ).

tff(func_def_2329,type,
    sK1122: ( vEBT_VEBT * nat * $o ) > option(product_prod(nat,nat)) ).

tff(func_def_2330,type,
    sK1123: ( vEBT_VEBT * nat * $o ) > nat ).

tff(func_def_2331,type,
    sK1124: ( vEBT_VEBT * nat * $o ) > list(vEBT_VEBT) ).

tff(func_def_2332,type,
    sK1125: ( vEBT_VEBT * nat * $o ) > vEBT_VEBT ).

tff(func_def_2333,type,
    sK1136: ( vEBT_VEBT * nat ) > option(product_prod(nat,nat)) ).

tff(func_def_2334,type,
    sK1137: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_2335,type,
    sK1138: ( vEBT_VEBT * nat ) > list(vEBT_VEBT) ).

tff(func_def_2336,type,
    sK1139: ( vEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_2337,type,
    sK1147: ( vEBT_VEBT * nat ) > option(product_prod(nat,nat)) ).

tff(func_def_2338,type,
    sK1148: ( vEBT_VEBT * nat ) > list(vEBT_VEBT) ).

tff(func_def_2339,type,
    sK1149: ( vEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_2340,type,
    sK1150: ( vEBT_VEBT * nat ) > option(product_prod(nat,nat)) ).

tff(func_def_2341,type,
    sK1151: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_2342,type,
    sK1152: ( vEBT_VEBT * nat ) > list(vEBT_VEBT) ).

tff(func_def_2343,type,
    sK1153: ( vEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_2344,type,
    sK1161: ( vEBT_VEBT * nat ) > list(vEBT_VEBT) ).

tff(func_def_2345,type,
    sK1162: ( vEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_2346,type,
    sK1163: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_2347,type,
    sK1164: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_2348,type,
    sK1165: ( vEBT_VEBT * nat ) > list(vEBT_VEBT) ).

tff(func_def_2349,type,
    sK1166: ( vEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_2350,type,
    sK1167: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_2351,type,
    sK1168: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_2352,type,
    sK1169: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_2353,type,
    sK1170: ( vEBT_VEBT * nat ) > list(vEBT_VEBT) ).

tff(func_def_2354,type,
    sK1171: ( vEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_2355,type,
    sK1172: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_2356,type,
    sK1173: ( vEBT_VEBT * nat ) > list(vEBT_VEBT) ).

tff(func_def_2357,type,
    sK1174: ( vEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_2358,type,
    sK1183: ( vEBT_VEBT * nat * $o ) > list(vEBT_VEBT) ).

tff(func_def_2359,type,
    sK1184: ( vEBT_VEBT * nat * $o ) > vEBT_VEBT ).

tff(func_def_2360,type,
    sK1185: ( vEBT_VEBT * nat * $o ) > nat ).

tff(func_def_2361,type,
    sK1186: ( vEBT_VEBT * nat * $o ) > nat ).

tff(func_def_2362,type,
    sK1187: ( vEBT_VEBT * nat * $o ) > list(vEBT_VEBT) ).

tff(func_def_2363,type,
    sK1188: ( vEBT_VEBT * nat * $o ) > vEBT_VEBT ).

tff(func_def_2364,type,
    sK1189: ( vEBT_VEBT * nat * $o ) > nat ).

tff(func_def_2365,type,
    sK1190: ( vEBT_VEBT * nat * $o ) > nat ).

tff(func_def_2366,type,
    sK1191: ( vEBT_VEBT * nat * $o ) > nat ).

tff(func_def_2367,type,
    sK1192: ( vEBT_VEBT * nat * $o ) > list(vEBT_VEBT) ).

tff(func_def_2368,type,
    sK1193: ( vEBT_VEBT * nat * $o ) > vEBT_VEBT ).

tff(func_def_2369,type,
    sK1194: ( vEBT_VEBT * nat * $o ) > nat ).

tff(func_def_2370,type,
    sK1195: ( vEBT_VEBT * nat * $o ) > list(vEBT_VEBT) ).

tff(func_def_2371,type,
    sK1196: ( vEBT_VEBT * nat * $o ) > vEBT_VEBT ).

tff(func_def_2372,type,
    sK1205: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_2373,type,
    sK1206: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_2374,type,
    sK1207: ( vEBT_VEBT * nat ) > list(vEBT_VEBT) ).

tff(func_def_2375,type,
    sK1208: ( vEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_2376,type,
    sK1209: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_2377,type,
    sK1210: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_2378,type,
    sK1211: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_2379,type,
    sK1212: ( vEBT_VEBT * nat ) > list(vEBT_VEBT) ).

tff(func_def_2380,type,
    sK1213: ( vEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_2381,type,
    sK1214: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_2382,type,
    sK1215: ( vEBT_VEBT * nat ) > list(vEBT_VEBT) ).

tff(func_def_2383,type,
    sK1216: ( vEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_2384,type,
    sK1219: ( nat * vEBT_VEBT ) > nat ).

tff(func_def_2385,type,
    sK1220: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( product_prod(X2,X1) * fun(X2,fun(X1,X0)) * fun(X2,fun(X1,X0)) ) > X2 ) ).

tff(func_def_2386,type,
    sK1221: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( product_prod(X2,X1) * fun(X2,fun(X1,X0)) * fun(X2,fun(X1,X0)) ) > X1 ) ).

tff(func_def_2387,type,
    sK1222: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( fun(X2,fun(X1,X0)) * fun(product_prod(X2,X1),X0) ) > X2 ) ).

tff(func_def_2388,type,
    sK1223: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( fun(X2,fun(X1,X0)) * fun(product_prod(X2,X1),X0) ) > X1 ) ).

tff(func_def_2389,type,
    sK1224: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( fun(X1,$o) * fun(X0,fun(X2,X1)) * product_prod(X0,X2) ) > X0 ) ).

tff(func_def_2390,type,
    sK1225: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( fun(X1,$o) * fun(X0,fun(X2,X1)) * product_prod(X0,X2) ) > X2 ) ).

tff(func_def_2391,type,
    sK1226: 
      !>[X0: $tType,X1: $tType] : ( ( product_prod(X1,X0) * fun(X1,fun(X0,$o)) ) > X1 ) ).

tff(func_def_2392,type,
    sK1227: 
      !>[X0: $tType,X1: $tType] : ( ( product_prod(X1,X0) * fun(X1,fun(X0,$o)) ) > X0 ) ).

tff(func_def_2393,type,
    sK1228: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( product_prod(X2,X1) * X0 * fun(X2,fun(X1,set(X0))) ) > X2 ) ).

tff(func_def_2394,type,
    sK1229: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( product_prod(X2,X1) * X0 * fun(X2,fun(X1,set(X0))) ) > X1 ) ).

tff(func_def_2395,type,
    sK1230: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( product_prod(X0,X1) * fun(X0,fun(X1,fun(X2,$o))) * X2 ) > X0 ) ).

tff(func_def_2396,type,
    sK1231: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( product_prod(X0,X1) * fun(X0,fun(X1,fun(X2,$o))) * X2 ) > X1 ) ).

tff(func_def_2397,type,
    sK1232: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,X1) ) > X0 ) ).

tff(func_def_2398,type,
    sK1233: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * set(X0) ) > X0 ) ).

tff(func_def_2399,type,
    sK1234: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,X1) ) > X0 ) ).

tff(func_def_2400,type,
    sK1235: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( X1 * fun(X0,fun(X2,set(X1))) * product_prod(X0,X2) ) > X0 ) ).

tff(func_def_2401,type,
    sK1236: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( X1 * fun(X0,fun(X2,set(X1))) * product_prod(X0,X2) ) > X2 ) ).

tff(func_def_2402,type,
    sK1237: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,fun(X1,$o)) * product_prod(X0,X1) ) > X0 ) ).

tff(func_def_2403,type,
    sK1238: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,fun(X1,$o)) * product_prod(X0,X1) ) > X1 ) ).

tff(func_def_2404,type,
    sK1239: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,X0) * fun(X1,X0) ) > X1 ) ).

tff(func_def_2405,type,
    sK1240: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( fun(X1,fun(X0,fun(X2,$o))) * product_prod(X1,X0) * X2 ) > X1 ) ).

tff(func_def_2406,type,
    sK1241: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( fun(X1,fun(X0,fun(X2,$o))) * product_prod(X1,X0) * X2 ) > X0 ) ).

tff(func_def_2407,type,
    sK1242: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_2408,type,
    sK1243: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,X1) ) > X0 ) ).

tff(func_def_2409,type,
    sK1244: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_2410,type,
    sK1245: 
      !>[X0: $tType] : ( ( set(nat) * fun(nat,X0) * fun(nat,X0) ) > nat ) ).

tff(func_def_2411,type,
    sK1246: 
      !>[X0: $tType] : ( ( set(X0) * fun(X0,nat) * fun(X0,nat) ) > X0 ) ).

tff(func_def_2412,type,
    sK1247: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,X1) ) > X0 ) ).

tff(func_def_2413,type,
    sK1248: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,X1) * X1 * X1 ) > X0 ) ).

tff(func_def_2414,type,
    sK1249: set(int) > int ).

tff(func_def_2415,type,
    sK1250: ( set(int) * int ) > int ).

tff(func_def_2416,type,
    sK1251: set(int) > int ).

tff(func_def_2417,type,
    sK1252: ( set(int) * int ) > int ).

tff(func_def_2418,type,
    sK1253: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_2419,type,
    sK1254: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( set(X0) * set(X2) * fun(X2,X1) * fun(X2,X0) * fun(X0,X1) ) > X0 ) ).

tff(func_def_2420,type,
    sK1255: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,X1) ) > X0 ) ).

tff(func_def_2421,type,
    sK1256: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,X1) ) > X0 ) ).

tff(func_def_2422,type,
    sK1257: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,X0) * fun(X1,X0) ) > X1 ) ).

tff(func_def_2423,type,
    sK1258: 
      !>[X0: $tType] : ( fun(X0,fun(X0,$o)) > X0 ) ).

tff(func_def_2424,type,
    sK1259: 
      !>[X0: $tType] : ( fun(X0,fun(X0,$o)) > X0 ) ).

tff(func_def_2425,type,
    sK1260: 
      !>[X0: $tType] : ( fun(X0,fun(X0,$o)) > X0 ) ).

tff(func_def_2426,type,
    sK1261: 
      !>[X0: $tType] : ( fun(X0,fun(X0,$o)) > X0 ) ).

tff(func_def_2427,type,
    sK1262: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,fun(X0,$o)) * set(X1) * fun(X1,X0) * fun(X1,X0) ) > X1 ) ).

tff(func_def_2428,type,
    sK1263: 
      !>[X0: $tType] : ( X0 > X0 ) ).

tff(func_def_2429,type,
    sK1264: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,X0) * fun(X1,X0) ) > X1 ) ).

tff(func_def_2430,type,
    sK1265: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * set(X0) * fun(X1,X0) * fun(X0,X1) ) > X0 ) ).

tff(func_def_2431,type,
    sK1266: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * set(X1) * set(X0) * fun(X0,X1) * set(X1) ) > X0 ) ).

tff(func_def_2432,type,
    sK1267: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,X0) * fun(X0,X1) * set(X1) ) > X1 ) ).

tff(func_def_2433,type,
    sK1268: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * set(X1) * set(X0) * fun(X1,X0) * set(X1) ) > X1 ) ).

tff(func_def_2434,type,
    sK1269: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,X1) ) > X0 ) ).

tff(func_def_2435,type,
    sK1270: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_2436,type,
    sK1271: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( set(X0) * fun(X0,X2) * fun(X0,X1) * fun(X2,X1) ) > X0 ) ).

tff(func_def_2437,type,
    sK1275: 
      !>[X0: $tType] : ( ( set(X0) * fun(X0,nat) ) > X0 ) ).

tff(func_def_2438,type,
    sK1276: 
      !>[X0: $tType] : ( ( set(X0) * fun(X0,nat) * X0 ) > X0 ) ).

tff(func_def_2439,type,
    sK1277: 
      !>[X0: $tType] : ( ( fun(X0,nat) * set(X0) ) > X0 ) ).

tff(func_def_2440,type,
    sK1278: 
      !>[X0: $tType] : ( ( set(X0) * fun(X0,nat) ) > X0 ) ).

tff(func_def_2441,type,
    sK1279: 
      !>[X0: $tType] : ( ( set(X0) * fun(X0,nat) * X0 ) > X0 ) ).

tff(func_def_2442,type,
    sK1280: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,X1) ) > X0 ) ).

tff(func_def_2443,type,
    sK1281: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,X1) ) > X0 ) ).

tff(func_def_2444,type,
    sK1282: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_2445,type,
    sK1283: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_2446,type,
    sK1284: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_2447,type,
    sK1285: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,X0) * fun(X1,X0) ) > X1 ) ).

tff(func_def_2448,type,
    sK1286: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_2449,type,
    sK1287: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,X0) * fun(X1,X0) ) > X1 ) ).

tff(func_def_2450,type,
    sK1288: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_2451,type,
    sK1289: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_2452,type,
    sK1290: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_2453,type,
    sK1291: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_2454,type,
    sK1292: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_2455,type,
    sK1293: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_2456,type,
    sK1294: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( fun(fun(X0,X1),X2) * X2 ) > fun(X0,X1) ) ).

tff(func_def_2457,type,
    sK1295: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_2458,type,
    sK1296: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_2459,type,
    sK1297: 
      !>[X0: $tType,X1: $tType] : ( ( X1 * set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_2460,type,
    sK1298: 
      !>[X0: $tType] : ( fun(X0,fun(X0,$o)) > X0 ) ).

tff(func_def_2461,type,
    sK1299: ( nat * nat * fun(nat,int) ) > nat ).

tff(func_def_2462,type,
    sK1300: ( nat * nat * fun(nat,int) * int ) > nat ).

tff(func_def_2463,type,
    sK1301: ( nat * fun(nat,int) ) > nat ).

tff(func_def_2464,type,
    sK1302: ( nat * fun(nat,int) * int ) > nat ).

tff(func_def_2465,type,
    sK1303: ( nat * fun(nat,int) ) > nat ).

tff(func_def_2466,type,
    sK1304: ( nat * fun(nat,int) * int ) > nat ).

tff(func_def_2467,type,
    sK1305: ( real * real * real ) > real ).

tff(func_def_2468,type,
    sK1306: ( real * real * real ) > real ).

tff(func_def_2469,type,
    sK1307: 
      !>[X0: $tType] : ( X0 > nat ) ).

tff(func_def_2470,type,
    sK1308: 
      !>[X0: $tType] : ( X0 > nat ) ).

tff(func_def_2471,type,
    sK1309: int > nat ).

tff(func_def_2472,type,
    sK1310: int > nat ).

tff(func_def_2473,type,
    sK1311: int > nat ).

tff(func_def_2474,type,
    sK1312: int > nat ).

tff(func_def_2475,type,
    sK1313: fun(int,$o) > nat ).

tff(func_def_2476,type,
    sK1314: fun(int,$o) > nat ).

tff(func_def_2477,type,
    sK1315: int > nat ).

tff(func_def_2478,type,
    sK1316: int > nat ).

tff(func_def_2479,type,
    sK1317: int > nat ).

tff(func_def_2480,type,
    sK1318: int > nat ).

tff(func_def_2481,type,
    sK1319: ( int * int ) > nat ).

tff(func_def_2482,type,
    sK1320: 
      !>[X0: $tType] : ( ( X0 * X0 ) > nat ) ).

tff(func_def_2483,type,
    sK1321: ( real * real ) > nat ).

tff(func_def_2484,type,
    sK1322: int > nat ).

tff(func_def_2485,type,
    sK1323: int > nat ).

tff(func_def_2486,type,
    sK1324: ( int * int ) > nat ).

tff(func_def_2487,type,
    sK1325: int > nat ).

tff(func_def_2488,type,
    sK1326: int > nat ).

tff(func_def_2489,type,
    sK1327: int > nat ).

tff(func_def_2490,type,
    sK1328: int > nat ).

tff(func_def_2491,type,
    sK1329: int > nat ).

tff(func_def_2492,type,
    sK1330: int > nat ).

tff(func_def_2493,type,
    sK1331: 
      !>[X0: $tType] : ( X0 > nat ) ).

tff(func_def_2494,type,
    sK1332: ( real * real ) > nat ).

tff(func_def_2495,type,
    sK1333: int > nat ).

tff(func_def_2496,type,
    sK1334: set(nat) > nat ).

tff(func_def_2497,type,
    sK1335: set(nat) > nat ).

tff(func_def_2498,type,
    sK1336: 
      !>[X0: $tType] : ( ( fun(X0,nat) * fun(X0,nat) ) > X0 ) ).

tff(func_def_2499,type,
    sK1337: 
      !>[X0: $tType,X1: $tType] : ( fun(X0,X1) > real ) ).

tff(func_def_2500,type,
    sK1338: 
      !>[X0: $tType,X1: $tType] : ( fun(X0,X1) > nat ) ).

tff(func_def_2501,type,
    sK1339: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * nat ) > X0 ) ).

tff(func_def_2502,type,
    sK1340: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * real ) > X0 ) ).

tff(func_def_2503,type,
    sK1341: 
      !>[X0: $tType,X1: $tType] : ( fun(X0,X1) > real ) ).

tff(func_def_2504,type,
    sK1342: 
      !>[X0: $tType,X1: $tType] : ( fun(X0,X1) > nat ) ).

tff(func_def_2505,type,
    sK1343: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * nat ) > X0 ) ).

tff(func_def_2506,type,
    sK1344: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * real ) > X0 ) ).

tff(func_def_2507,type,
    sK1345: 
      !>[X0: $tType] : ( ( nat * fun(nat,X0) * X0 ) > nat ) ).

tff(func_def_2508,type,
    sK1346: 
      !>[X0: $tType] : ( ( set(nat) * fun(nat,X0) ) > nat ) ).

tff(func_def_2509,type,
    sK1347: 
      !>[X0: $tType] : ( fun(nat,X0) > nat ) ).

tff(func_def_2510,type,
    sK1348: 
      !>[X0: $tType] : ( ( fun(nat,X0) * fun(nat,X0) ) > nat ) ).

tff(func_def_2511,type,
    sK1349: 
      !>[X0: $tType] : ( ( fun(nat,X0) * fun(nat,real) * nat ) > nat ) ).

tff(func_def_2512,type,
    sK1350: 
      !>[X0: $tType] : ( ( fun(nat,real) * nat * fun(nat,X0) ) > nat ) ).

tff(func_def_2513,type,
    sK1351: 
      !>[X0: $tType] : ( ( fun(nat,X0) * fun(nat,X0) ) > nat ) ).

tff(func_def_2514,type,
    sK1352: 
      !>[X0: $tType] : ( ( set(nat) * fun(nat,X0) ) > nat ) ).

tff(func_def_2515,type,
    sK1353: 
      !>[X0: $tType] : ( fun(nat,X0) > nat ) ).

tff(func_def_2516,type,
    sK1354: 
      !>[X0: $tType] : ( fun(nat,X0) > nat ) ).

tff(func_def_2517,type,
    sK1355: 
      !>[X0: $tType] : ( fun(nat,X0) > nat ) ).

tff(func_def_2518,type,
    sK1356: 
      !>[X0: $tType] : ( fun(nat,X0) > nat ) ).

tff(func_def_2519,type,
    sK1357: 
      !>[X0: $tType] : ( ( nat * fun(nat,X0) ) > nat ) ).

tff(func_def_2520,type,
    sK1358: 
      !>[X0: $tType] : ( ( set(nat) * fun(nat,X0) ) > nat ) ).

tff(func_def_2521,type,
    sK1359: 
      !>[X0: $tType] : ( ( fun(nat,X0) * fun(nat,real) * nat ) > nat ) ).

tff(func_def_2522,type,
    sK1360: ( fun(nat,real) * fun(nat,real) * nat ) > nat ).

tff(func_def_2523,type,
    sK1361: 
      !>[X0: $tType] : ( fun(nat,X0) > nat ) ).

tff(func_def_2524,type,
    sK1362: 
      !>[X0: $tType] : ( fun(nat,X0) > nat ) ).

tff(func_def_2525,type,
    sK1363: 
      !>[X0: $tType] : ( fun(nat,X0) > nat ) ).

tff(func_def_2526,type,
    sK1364: 
      !>[X0: $tType] : ( ( fun(nat,X0) * X0 ) > nat ) ).

tff(func_def_2527,type,
    sK1365: 
      !>[X0: $tType] : ( fun(nat,X0) > nat ) ).

tff(func_def_2528,type,
    sK1366: 
      !>[X0: $tType] : ( ( fun(nat,X0) * X0 ) > nat ) ).

tff(func_def_2529,type,
    sK1367: 
      !>[X0: $tType] : ( ( fun(nat,X0) * set(nat) ) > nat ) ).

tff(func_def_2530,type,
    sK1368: 
      !>[X0: $tType] : ( ( fun(nat,X0) * nat ) > nat ) ).

tff(func_def_2531,type,
    sK1369: 
      !>[X0: $tType] : ( ( fun(nat,X0) * real ) > nat ) ).

tff(func_def_2532,type,
    sK1370: 
      !>[X0: $tType] : ( ( real * fun(nat,X0) ) > nat ) ).

tff(func_def_2533,type,
    sK1371: fun(nat,real) > nat ).

tff(func_def_2534,type,
    sK1372: fun(nat,real) > nat ).

tff(func_def_2535,type,
    sK1373: 
      !>[X0: $tType] : ( ( real * fun(nat,X0) * real ) > nat ) ).

tff(func_def_2536,type,
    sK1374: 
      !>[X0: $tType] : ( ( real * nat * fun(nat,X0) ) > nat ) ).

tff(func_def_2537,type,
    sK1375: 
      !>[X0: $tType] : ( ( fun(nat,X0) * nat ) > nat ) ).

tff(func_def_2538,type,
    sK1376: ( fun(nat,real) * nat ) > nat ).

tff(func_def_2539,type,
    sK1377: real > real ).

tff(func_def_2540,type,
    sK1378: 
      !>[X0: $tType] : ( ( fun(int,$o) * X0 ) > int ) ).

tff(func_def_2541,type,
    sK1379: ( real * real ) > real ).

tff(func_def_2542,type,
    sK1380: 
      !>[X0: $tType] : ( ( real * fun(nat,X0) ) > X0 ) ).

tff(func_def_2543,type,
    sK1381: ( nat * real ) > real ).

tff(func_def_2544,type,
    sK1382: ( real * nat ) > real ).

tff(func_def_2545,type,
    sK1383: real > real ).

tff(func_def_2546,type,
    sK1384: real > real ).

tff(func_def_2547,type,
    sK1385: real > real ).

tff(func_def_2548,type,
    sK1386: real > real ).

tff(func_def_2549,type,
    sK1387: ( real * fun(real,real) * fun(nat,real) * nat ) > real ).

tff(func_def_2550,type,
    sK1388: real > real ).

tff(func_def_2551,type,
    sK1389: ( nat * real ) > real ).

tff(func_def_2552,type,
    sK1390: ( real * nat ) > real ).

tff(func_def_2553,type,
    sK1391: ( real * nat ) > real ).

tff(func_def_2554,type,
    sK1392: real > real ).

tff(func_def_2555,type,
    sK1393: 
      !>[X0: $tType] : ( fun(nat,X0) > nat ) ).

tff(func_def_2556,type,
    sK1394: 
      !>[X0: $tType] : ( fun(nat,X0) > nat ) ).

tff(func_def_2557,type,
    sK1395: 
      !>[X0: $tType] : ( fun(nat,X0) > nat ) ).

tff(func_def_2558,type,
    sK1396: 
      !>[X0: $tType] : ( fun(nat,X0) > nat ) ).

tff(func_def_2559,type,
    sK1397: 
      !>[X0: $tType] : ( fun(nat,X0) > nat ) ).

tff(func_def_2560,type,
    sK1398: 
      !>[X0: $tType] : ( fun(nat,X0) > nat ) ).

tff(func_def_2561,type,
    sK1399: 
      !>[X0: $tType] : ( fun(nat,X0) > nat ) ).

tff(func_def_2562,type,
    sK1400: 
      !>[X0: $tType] : ( fun(nat,X0) > nat ) ).

tff(func_def_2563,type,
    sK1401: 
      !>[X0: $tType] : ( fun(nat,X0) > nat ) ).

tff(func_def_2564,type,
    sK1402: 
      !>[X0: $tType] : ( fun(nat,X0) > nat ) ).

tff(func_def_2565,type,
    sK1403: 
      !>[X0: $tType] : ( fun(nat,X0) > nat ) ).

tff(func_def_2566,type,
    sK1404: 
      !>[X0: $tType] : ( fun(nat,X0) > nat ) ).

tff(func_def_2567,type,
    sK1405: complex > real ).

tff(func_def_2568,type,
    sK1406: 
      !>[X0: $tType] : ( ( X0 * nat ) > nat ) ).

tff(func_def_2569,type,
    sK1407: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,X1) ) > X0 ) ).

tff(func_def_2570,type,
    sK1408: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,X0) * fun(X1,X0) ) > X1 ) ).

tff(func_def_2571,type,
    sK1409: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_2572,type,
    sK1410: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_2573,type,
    sK1411: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_2574,type,
    sK1412: set(nat) > nat ).

tff(func_def_2575,type,
    sK1413: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,X1) ) > X0 ) ).

tff(func_def_2576,type,
    sK1414: 
      !>[X0: $tType] : ( fun(X0,fun(X0,$o)) > X0 ) ).

tff(func_def_2577,type,
    sK1415: 
      !>[X0: $tType] : ( fun(X0,fun(X0,$o)) > X0 ) ).

tff(func_def_2578,type,
    sK1416: 
      !>[X0: $tType] : ( fun(X0,fun(X0,$o)) > X0 ) ).

tff(func_def_2579,type,
    sK1417: 
      !>[X0: $tType] : ( fun(X0,fun(X0,$o)) > X0 ) ).

tff(func_def_2580,type,
    sK1418: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,fun(X0,$o)) * set(X1) * fun(X1,X0) * fun(X1,X0) ) > X1 ) ).

tff(func_def_2581,type,
    sK1419: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,X0) * fun(X1,X0) ) > X1 ) ).

tff(func_def_2582,type,
    sK1420: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * set(X0) * fun(X1,X0) * fun(X0,X1) ) > X0 ) ).

tff(func_def_2583,type,
    sK1421: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * set(X1) * set(X0) * fun(X0,X1) * set(X1) ) > X0 ) ).

tff(func_def_2584,type,
    sK1422: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,X0) * fun(X0,X1) * set(X1) ) > X1 ) ).

tff(func_def_2585,type,
    sK1423: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * set(X1) * set(X0) * fun(X1,X0) * set(X1) ) > X1 ) ).

tff(func_def_2586,type,
    sK1424: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,X1) ) > X0 ) ).

tff(func_def_2587,type,
    sK1425: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_2588,type,
    sK1426: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( set(X0) * fun(X0,X2) * fun(X0,X1) * fun(X2,X1) ) > X0 ) ).

tff(func_def_2589,type,
    sK1430: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_2590,type,
    sK1431: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_2591,type,
    sK1432: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_2592,type,
    sK1433: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,X0) * fun(X1,X0) ) > X1 ) ).

tff(func_def_2593,type,
    sK1434: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_2594,type,
    sK1435: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,X0) * fun(X1,X0) ) > X1 ) ).

tff(func_def_2595,type,
    sK1436: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_2596,type,
    sK1437: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_2597,type,
    sK1438: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_2598,type,
    sK1439: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_2599,type,
    sK1440: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_2600,type,
    sK1441: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_2601,type,
    sK1442: 
      !>[X0: $tType] : ( ( fun(nat,X0) * nat * fun(nat,X0) ) > X0 ) ).

tff(func_def_2602,type,
    sK1443: 
      !>[X0: $tType] : ( ( fun(nat,X0) * nat * fun(nat,X0) ) > nat ) ).

tff(func_def_2603,type,
    sK1444: 
      !>[X0: $tType] : ( fun(nat,X0) > nat ) ).

tff(func_def_2604,type,
    sK1445: 
      !>[X0: $tType] : ( ( fun(nat,X0) * X0 ) > nat ) ).

tff(func_def_2605,type,
    sK1446: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,X0) * fun(X1,X0) ) > X1 ) ).

tff(func_def_2606,type,
    sK1447: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_2607,type,
    sK1448: 
      !>[X0: $tType] : ( ( fun(nat,X0) * nat ) > X0 ) ).

tff(func_def_2608,type,
    sK1449: 
      !>[X0: $tType] : ( ( fun(nat,X0) * nat ) > nat ) ).

tff(func_def_2609,type,
    sK1450: 
      !>[X0: $tType] : ( ( fun(nat,X0) * nat ) > X0 ) ).

tff(func_def_2610,type,
    sK1451: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_2611,type,
    sK1452: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_2612,type,
    sK1453: 
      !>[X0: $tType] : ( ( fun(nat,X0) * nat ) > nat ) ).

tff(func_def_2613,type,
    sK1454: 
      !>[X0: $tType] : ( ( fun(nat,X0) * X0 * nat ) > fun(nat,X0) ) ).

tff(func_def_2614,type,
    sK1455: 
      !>[X0: $tType] : ( ( fun(nat,X0) * nat * X0 ) > fun(nat,X0) ) ).

tff(func_def_2615,type,
    sK1456: 
      !>[X0: $tType] : ( ( nat * fun(nat,X0) ) > nat ) ).

tff(func_def_2616,type,
    sK1457: 
      !>[X0: $tType] : ( ( nat * fun(nat,X0) ) > nat ) ).

tff(func_def_2617,type,
    sK1458: 
      !>[X0: $tType] : ( ( fun(nat,X0) * nat * X0 ) > X0 ) ).

tff(func_def_2618,type,
    sK1459: 
      !>[X0: $tType] : ( ( fun(nat,X0) * nat ) > nat ) ).

tff(func_def_2619,type,
    sK1460: ( nat * fun(nat,nat) ) > nat ).

tff(func_def_2620,type,
    sK1461: ( nat * fun(nat,nat) ) > nat ).

tff(func_def_2621,type,
    sK1462: 
      !>[X0: $tType] : ( ( real * fun(nat,X0) * nat ) > real ) ).

tff(func_def_2622,type,
    sK1463: 
      !>[X0: $tType] : ( ( set(X0) * fun(X0,nat) ) > X0 ) ).

tff(func_def_2623,type,
    sK1464: 
      !>[X0: $tType] : ( ( set(X0) * fun(X0,nat) ) > X0 ) ).

tff(func_def_2624,type,
    sK1465: 
      !>[X0: $tType] : ( ( set(X0) * fun(X0,real) ) > X0 ) ).

tff(func_def_2625,type,
    sK1466: int > nat ).

tff(func_def_2626,type,
    sK1467: int > int ).

tff(func_def_2627,type,
    sK1468: fun(nat,$o) > nat ).

tff(func_def_2628,type,
    sK1469: fun(nat,$o) > int ).

tff(func_def_2629,type,
    sK1470: fun(nat,$o) > nat ).

tff(func_def_2630,type,
    sK1471: fun(nat,$o) > int ).

tff(func_def_2631,type,
    sK1472: 
      !>[X0: $tType] : ( X0 > nat ) ).

tff(func_def_2632,type,
    sK1473: ( fun(nat,$o) * int ) > nat ).

tff(func_def_2633,type,
    sK1474: fun(real,$o) > real ).

tff(func_def_2634,type,
    sK1475: fun(real,$o) > real ).

tff(func_def_2635,type,
    sK1476: fun(real,$o) > nat ).

tff(func_def_2636,type,
    sK1477: fun(real,$o) > real ).

tff(func_def_2637,type,
    sK1478: fun(real,$o) > real ).

tff(func_def_2638,type,
    sK1479: fun(real,$o) > nat ).

tff(func_def_2639,type,
    sK1480: real > nat ).

tff(func_def_2640,type,
    sK1481: 
      !>[X0: $tType] : ( X0 > nat ) ).

tff(func_def_2641,type,
    sK1482: ( int * int * product_prod(int,int) ) > int ).

tff(func_def_2642,type,
    sK1483: ( int * int * product_prod(int,int) ) > int ).

tff(func_def_2643,type,
    sK1484: ( int * int * product_prod(int,int) ) > int ).

tff(func_def_2644,type,
    sK1485: ( int * int * product_prod(int,int) ) > int ).

tff(func_def_2645,type,
    sK1486: ( int * int * product_prod(int,int) ) > int ).

tff(func_def_2646,type,
    sK1487: ( int * int * product_prod(int,int) ) > int ).

tff(func_def_2647,type,
    sK1488: ( int * int * product_prod(int,int) ) > int ).

tff(func_def_2648,type,
    sK1489: ( int * int * product_prod(int,int) ) > int ).

tff(func_def_2649,type,
    sK1490: ( int * int * product_prod(int,int) ) > int ).

tff(func_def_2650,type,
    sK1491: ( int * int * product_prod(int,int) ) > int ).

tff(func_def_2651,type,
    sK1492: ( int * int * product_prod(int,int) ) > int ).

tff(func_def_2652,type,
    sK1494: rat > rat ).

tff(func_def_2653,type,
    sK1495: rat > rat ).

tff(func_def_2654,type,
    sK1496: ( nat * fun(nat,$o) ) > nat ).

tff(func_def_2655,type,
    sK1497: ( nat * fun(nat,$o) ) > nat ).

tff(func_def_2656,type,
    sK1498: ( nat * fun(nat,$o) ) > nat ).

tff(func_def_2657,type,
    sK1499: ( nat * fun(nat,$o) ) > nat ).

tff(func_def_2658,type,
    sK1500: 
      !>[X0: $tType,X1: $tType] : ( ( X1 * X1 * fun(X1,X0) * fun(X1,X0) ) > X1 ) ).

tff(func_def_2659,type,
    sK1501: 
      !>[X0: $tType,X1: $tType] : ( ( X1 * X1 * fun(X1,X0) * fun(X1,X0) ) > X1 ) ).

tff(func_def_2660,type,
    sK1502: 
      !>[X0: $tType] : ( ( list(X0) * fun(X0,nat) * fun(X0,nat) ) > X0 ) ).

tff(func_def_2661,type,
    sK1503: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_2662,type,
    sK1504: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_2663,type,
    sK1505: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_2664,type,
    sK1506: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,X0) * fun(X1,X0) ) > X1 ) ).

tff(func_def_2665,type,
    sK1507: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_2666,type,
    sK1508: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,X0) * fun(X1,X0) ) > X1 ) ).

tff(func_def_2667,type,
    sK1509: 
      !>[X0: $tType] : ( fun(nat,X0) > real ) ).

tff(func_def_2668,type,
    sK1510: 
      !>[X0: $tType] : ( ( fun(nat,X0) * real ) > nat ) ).

tff(func_def_2669,type,
    sK1511: 
      !>[X0: $tType] : ( ( fun(nat,X0) * nat ) > nat ) ).

tff(func_def_2670,type,
    sK1512: 
      !>[X0: $tType] : ( ( fun(nat,X0) * nat ) > nat ) ).

tff(func_def_2671,type,
    sK1513: 
      !>[X0: $tType] : ( ( nat * fun(nat,X0) ) > nat ) ).

tff(func_def_2672,type,
    sK1514: 
      !>[X0: $tType] : ( ( nat * fun(nat,X0) ) > nat ) ).

tff(func_def_2673,type,
    sK1515: 
      !>[X0: $tType] : ( ( nat * fun(nat,X0) ) > nat ) ).

tff(func_def_2674,type,
    sK1516: 
      !>[X0: $tType] : ( ( nat * fun(nat,X0) ) > nat ) ).

tff(func_def_2675,type,
    sK1517: ( nat * fun(nat,nat) ) > nat ).

tff(func_def_2676,type,
    sK1518: ( nat * fun(nat,nat) ) > nat ).

tff(func_def_2677,type,
    sK1519: ( nat * fun(nat,nat) ) > nat ).

tff(func_def_2678,type,
    sK1520: ( nat * fun(nat,nat) ) > nat ).

tff(func_def_2679,type,
    sK1521: fun(nat,real) > nat ).

tff(func_def_2680,type,
    sK1522: ( fun(nat,real) * nat ) > nat ).

tff(func_def_2681,type,
    sK1523: ( fun(nat,real) * nat ) > nat ).

tff(func_def_2682,type,
    sK1524: ( fun(nat,real) * nat ) > nat ).

tff(func_def_2683,type,
    sK1527: ( vEBT_VEBT * option(nat) ) > nat ).

tff(func_def_2684,type,
    sK1528: ( vEBT_VEBT * option(nat) ) > list(vEBT_VEBT) ).

tff(func_def_2685,type,
    sK1529: ( vEBT_VEBT * option(nat) ) > vEBT_VEBT ).

tff(func_def_2686,type,
    sK1530: ( vEBT_VEBT * option(nat) ) > nat ).

tff(func_def_2687,type,
    sK1531: ( vEBT_VEBT * option(nat) ) > nat ).

tff(func_def_2688,type,
    sK1532: ( vEBT_VEBT * option(nat) ) > nat ).

tff(func_def_2689,type,
    sK1533: ( vEBT_VEBT * option(nat) ) > list(vEBT_VEBT) ).

tff(func_def_2690,type,
    sK1534: ( vEBT_VEBT * option(nat) ) > vEBT_VEBT ).

tff(func_def_2691,type,
    sK1540: 
      !>[X0: $tType] : ( fun(nat,X0) > real ) ).

tff(func_def_2692,type,
    sK1541: 
      !>[X0: $tType] : ( ( fun(nat,X0) * real ) > nat ) ).

tff(func_def_2693,type,
    sK1542: 
      !>[X0: $tType] : ( ( fun(nat,X0) * nat ) > nat ) ).

tff(func_def_2694,type,
    sK1543: 
      !>[X0: $tType] : ( ( fun(nat,X0) * nat ) > nat ) ).

tff(func_def_2695,type,
    sK1544: 
      !>[X0: $tType] : ( fun(nat,X0) > real ) ).

tff(func_def_2696,type,
    sK1545: 
      !>[X0: $tType] : ( ( fun(nat,X0) * nat ) > nat ) ).

tff(func_def_2697,type,
    sK1546: 
      !>[X0: $tType] : ( ( fun(nat,X0) * nat ) > nat ) ).

tff(func_def_2698,type,
    sK1547: 
      !>[X0: $tType] : ( ( fun(nat,X0) * real ) > nat ) ).

tff(func_def_2699,type,
    sK1550: ( vEBT_VEBT * option(nat) ) > nat ).

tff(func_def_2700,type,
    sK1551: ( vEBT_VEBT * option(nat) ) > list(vEBT_VEBT) ).

tff(func_def_2701,type,
    sK1552: ( vEBT_VEBT * option(nat) ) > vEBT_VEBT ).

tff(func_def_2702,type,
    sK1553: ( vEBT_VEBT * option(nat) ) > nat ).

tff(func_def_2703,type,
    sK1554: ( vEBT_VEBT * option(nat) ) > nat ).

tff(func_def_2704,type,
    sK1555: ( vEBT_VEBT * option(nat) ) > nat ).

tff(func_def_2705,type,
    sK1556: ( vEBT_VEBT * option(nat) ) > list(vEBT_VEBT) ).

tff(func_def_2706,type,
    sK1557: ( vEBT_VEBT * option(nat) ) > vEBT_VEBT ).

tff(func_def_2707,type,
    sK1565: ( vEBT_VEBT * $o ) > nat ).

tff(func_def_2708,type,
    sK1566: ( vEBT_VEBT * $o ) > list(vEBT_VEBT) ).

tff(func_def_2709,type,
    sK1567: ( vEBT_VEBT * $o ) > vEBT_VEBT ).

tff(func_def_2710,type,
    sK1568: ( vEBT_VEBT * $o ) > product_prod(nat,nat) ).

tff(func_def_2711,type,
    sK1569: ( vEBT_VEBT * $o ) > nat ).

tff(func_def_2712,type,
    sK1570: ( vEBT_VEBT * $o ) > list(vEBT_VEBT) ).

tff(func_def_2713,type,
    sK1571: ( vEBT_VEBT * $o ) > vEBT_VEBT ).

tff(func_def_2714,type,
    sK1577: vEBT_VEBT > nat ).

tff(func_def_2715,type,
    sK1578: vEBT_VEBT > list(vEBT_VEBT) ).

tff(func_def_2716,type,
    sK1579: vEBT_VEBT > vEBT_VEBT ).

tff(func_def_2717,type,
    sK1582: vEBT_VEBT > product_prod(nat,nat) ).

tff(func_def_2718,type,
    sK1583: vEBT_VEBT > nat ).

tff(func_def_2719,type,
    sK1584: vEBT_VEBT > list(vEBT_VEBT) ).

tff(func_def_2720,type,
    sK1585: vEBT_VEBT > vEBT_VEBT ).

tff(func_def_2721,type,
    sK1590: product_prod(fun(code_integer,option(product_prod($o,list(code_term)))),product_prod(code_integer,code_integer)) > fun(code_integer,option(product_prod($o,list(code_term)))) ).

tff(func_def_2722,type,
    sK1591: product_prod(fun(code_integer,option(product_prod($o,list(code_term)))),product_prod(code_integer,code_integer)) > code_integer ).

tff(func_def_2723,type,
    sK1592: product_prod(fun(code_integer,option(product_prod($o,list(code_term)))),product_prod(code_integer,code_integer)) > code_integer ).

tff(func_def_2724,type,
    sK1593: product_prod(fun(product_prod(code_integer,fun(product_unit,code_term)),option(product_prod($o,list(code_term)))),product_prod(code_integer,code_integer)) > fun(product_prod(code_integer,fun(product_unit,code_term)),option(product_prod($o,list(code_term)))) ).

tff(func_def_2725,type,
    sK1594: product_prod(fun(product_prod(code_integer,fun(product_unit,code_term)),option(product_prod($o,list(code_term)))),product_prod(code_integer,code_integer)) > code_integer ).

tff(func_def_2726,type,
    sK1595: product_prod(fun(product_prod(code_integer,fun(product_unit,code_term)),option(product_prod($o,list(code_term)))),product_prod(code_integer,code_integer)) > code_integer ).

tff(func_def_2727,type,
    sK1596: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_2728,type,
    sK1597: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_2729,type,
    sK1598: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_2730,type,
    sK1599: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_2731,type,
    sK1600: 
      !>[X0: $tType] : ( ( list(list(X0)) * nat ) > list(X0) ) ).

tff(func_def_2732,type,
    sK1601: 
      !>[X0: $tType] : ( ( set(X0) * nat ) > set(X0) ) ).

tff(func_def_2733,type,
    sK1602: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * set(X0) * fun(X0,fun(X1,$o)) ) > X0 ) ).

tff(func_def_2734,type,
    sK1603: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * set(X0) * fun(X0,fun(X1,$o)) ) > X0 ) ).

tff(func_def_2735,type,
    sK1604: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * set(X0) * fun(X0,fun(X1,$o)) ) > X0 ) ).

tff(func_def_2736,type,
    sK1605: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * set(X0) * fun(X0,fun(X1,$o)) ) > X1 ) ).

tff(func_def_2737,type,
    sK1606: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * set(X1) * fun(X0,fun(X1,$o)) * fun(X1,nat) ) > X1 ) ).

tff(func_def_2738,type,
    sK1607: 
      !>[X0: $tType] : ( ( set(X0) * nat ) > X0 ) ).

tff(func_def_2739,type,
    sK1608: 
      !>[X0: $tType] : ( ( set(X0) * nat ) > set(X0) ) ).

tff(func_def_2740,type,
    sK1609: 
      !>[X0: $tType] : ( ( set(X0) * nat ) > set(X0) ) ).

tff(func_def_2741,type,
    sK1610: 
      !>[X0: $tType] : ( ( nat * set(X0) ) > set(X0) ) ).

tff(func_def_2742,type,
    sK1611: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_2743,type,
    sK1612: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * set(X1) * fun(X0,fun(X1,$o)) * nat ) > X1 ) ).

tff(func_def_2744,type,
    sK1613: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * X0 * fun(X1,X0) ) > X1 ) ).

tff(func_def_2745,type,
    sK1614: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,X1) * X1 ) > X0 ) ).

tff(func_def_2746,type,
    sK1615: 
      !>[X0: $tType] : ( ( set(X0) * nat ) > X0 ) ).

tff(func_def_2747,type,
    sK1616: 
      !>[X0: $tType] : ( ( set(X0) * nat ) > set(X0) ) ).

tff(func_def_2748,type,
    sK1617: 
      !>[X0: $tType] : ( ( set(X0) * nat ) > X0 ) ).

tff(func_def_2749,type,
    sK1618: 
      !>[X0: $tType] : ( ( set(X0) * nat ) > set(X0) ) ).

tff(func_def_2750,type,
    sK1619: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_2751,type,
    sK1620: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_2752,type,
    sK1621: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_2753,type,
    sK1622: 
      !>[X0: $tType] : ( ( nat * set(X0) ) > X0 ) ).

tff(func_def_2754,type,
    sK1623: 
      !>[X0: $tType] : ( ( nat * set(X0) ) > set(X0) ) ).

tff(func_def_2755,type,
    sK1624: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_2756,type,
    sK1625: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_2757,type,
    sK1626: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_2758,type,
    sK1627: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_2759,type,
    sK1628: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_2760,type,
    sK1629: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,X1) * X1 ) > X0 ) ).

tff(func_def_2761,type,
    sK1630: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,X1) * X1 ) > X0 ) ).

tff(func_def_2762,type,
    sK1631: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,X1) * X1 ) > X0 ) ).

tff(func_def_2763,type,
    sK1632: 
      !>[X0: $tType] : ( set(X0) > list(X0) ) ).

tff(func_def_2764,type,
    sK1633: 
      !>[X0: $tType] : ( list(X0) > nat ) ).

tff(func_def_2765,type,
    sK1634: 
      !>[X0: $tType] : ( list(X0) > nat ) ).

tff(func_def_2766,type,
    sK1635: 
      !>[X0: $tType] : ( ( list(X0) * X0 ) > nat ) ).

tff(func_def_2767,type,
    sK1636: 
      !>[X0: $tType] : ( ( set(X0) * fun(X0,$o) ) > X0 ) ).

tff(func_def_2768,type,
    sK1637: 
      !>[X0: $tType] : ( ( set(X0) * fun(X0,$o) * fun(X0,$o) ) > X0 ) ).

tff(func_def_2769,type,
    sK1638: set(nat) > fun(nat,nat) ).

tff(func_def_2770,type,
    sK1639: 
      !>[X0: $tType] : ( set(set(X0)) > set(X0) ) ).

tff(func_def_2771,type,
    sK1640: 
      !>[X0: $tType] : ( set(set(X0)) > set(X0) ) ).

tff(func_def_2772,type,
    sK1641: 
      !>[X0: $tType] : ( ( X0 * set(X0) ) > X0 ) ).

tff(func_def_2773,type,
    sK1642: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_2774,type,
    sK1643: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_2775,type,
    sK1644: 
      !>[X0: $tType] : ( ( X0 * set(X0) ) > X0 ) ).

tff(func_def_2776,type,
    sK1645: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_2777,type,
    sK1646: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_2778,type,
    sK1647: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_2779,type,
    sK1648: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_2780,type,
    sK1649: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_2781,type,
    sK1650: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_2782,type,
    sK1651: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_2783,type,
    sK1652: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_2784,type,
    sK1653: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_2785,type,
    sK1654: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_2786,type,
    sK1655: 
      !>[X0: $tType] : ( ( X0 * set(X0) ) > X0 ) ).

tff(func_def_2787,type,
    sK1656: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_2788,type,
    sK1657: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_2789,type,
    sK1658: 
      !>[X0: $tType,X1: $tType] : ( ( product_prod(X0,X1) * list(X0) * list(X1) ) > nat ) ).

tff(func_def_2790,type,
    sK1659: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_2791,type,
    sK1660: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_2792,type,
    sK1661: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_2793,type,
    sK1662: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_2794,type,
    sK1663: 
      !>[X0: $tType] : ( set(set(X0)) > set(X0) ) ).

tff(func_def_2795,type,
    sK1664: 
      !>[X0: $tType] : ( ( set(X0) * X0 * X0 ) > X0 ) ).

tff(func_def_2796,type,
    sK1665: 
      !>[X0: $tType] : ( ( set(X0) * X0 * X0 ) > X0 ) ).

tff(func_def_2797,type,
    sK1666: 
      !>[X0: $tType] : ( ( set(X0) * set(set(X0)) ) > set(set(X0)) ) ).

tff(func_def_2798,type,
    sK1667: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_2799,type,
    sK1668: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_2800,type,
    sK1669: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_2801,type,
    sK1670: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_2802,type,
    sK1671: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_2803,type,
    sK1672: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_2804,type,
    sK1673: 
      !>[X0: $tType] : ( ( set(X0) * set(X0) ) > X0 ) ).

tff(func_def_2805,type,
    sK1674: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_2806,type,
    sK1675: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_2807,type,
    sK1676: 
      !>[X0: $tType] : ( ( X0 * set(X0) ) > X0 ) ).

tff(func_def_2808,type,
    sK1677: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_2809,type,
    sK1678: 
      !>[X0: $tType] : ( ( X0 * set(X0) ) > X0 ) ).

tff(func_def_2810,type,
    sK1679: 
      !>[X0: $tType] : ( ( set(X0) * set(X0) ) > X0 ) ).

tff(func_def_2811,type,
    sK1680: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_2812,type,
    sK1681: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_2813,type,
    sK1682: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_2814,type,
    sK1683: 
      !>[X0: $tType] : ( set(set(X0)) > set(X0) ) ).

tff(func_def_2815,type,
    sK1684: 
      !>[X0: $tType] : ( set(set(X0)) > set(X0) ) ).

tff(func_def_2816,type,
    sK1685: 
      !>[X0: $tType] : ( ( set(set(X0)) * set(X0) ) > set(X0) ) ).

tff(func_def_2817,type,
    sK1686: 
      !>[X0: $tType] : ( ( set(set(X0)) * set(set(X0)) ) > set(X0) ) ).

tff(func_def_2818,type,
    sK1687: 
      !>[X0: $tType] : ( ( set(set(X0)) * set(X0) ) > set(X0) ) ).

tff(func_def_2819,type,
    sK1688: 
      !>[X0: $tType] : ( ( X0 * set(X0) ) > X0 ) ).

tff(func_def_2820,type,
    sK1689: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_2821,type,
    sK1690: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_2822,type,
    sK1691: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_2823,type,
    sK1692: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_2824,type,
    sK1693: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_2825,type,
    sK1694: 
      !>[X0: $tType] : ( ( set(set(X0)) * set(X0) ) > set(X0) ) ).

tff(func_def_2826,type,
    sK1695: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * set(X1) ) > X1 ) ).

tff(func_def_2827,type,
    sK1696: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * set(X1) ) > X1 ) ).

tff(func_def_2828,type,
    sK1697: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_2829,type,
    sK1698: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_2830,type,
    sK1699: ( int * int ) > int ).

tff(func_def_2831,type,
    sK1700: ( int * int ) > int ).

tff(func_def_2832,type,
    sK1704: ( int * int * int ) > int ).

tff(func_def_2833,type,
    sK1705: 
      !>[X0: $tType] : ( ( set(set(X0)) * nat ) > set(X0) ) ).

tff(func_def_2834,type,
    sK1706: 
      !>[X0: $tType] : ( set(set(X0)) > set(X0) ) ).

tff(func_def_2835,type,
    sK1707: 
      !>[X0: $tType] : ( set(set(X0)) > set(X0) ) ).

tff(func_def_2836,type,
    sK1708: ( nat * nat * nat ) > nat ).

tff(func_def_2837,type,
    sK1709: 
      !>[X0: $tType] : ( ( set(X0) * set(X0) ) > X0 ) ).

tff(func_def_2838,type,
    sK1710: 
      !>[X0: $tType] : ( ( set(X0) * set(X0) ) > X0 ) ).

tff(func_def_2839,type,
    sK1711: 
      !>[X0: $tType] : ( ( set(X0) * set(X0) ) > X0 ) ).

tff(func_def_2840,type,
    sK1712: 
      !>[X0: $tType] : ( ( set(X0) * set(X0) ) > X0 ) ).

tff(func_def_2841,type,
    sK1713: 
      !>[X0: $tType] : ( ( set(X0) * fun(X0,$o) * fun(X0,$o) ) > X0 ) ).

tff(func_def_2842,type,
    sK1714: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_2843,type,
    sK1715: 
      !>[X0: $tType] : ( ( X0 * X0 ) > nat ) ).

tff(func_def_2844,type,
    sK1716: 
      !>[X0: $tType] : ( ( set(set(X0)) * set(X0) ) > set(X0) ) ).

tff(func_def_2845,type,
    sK1717: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_2846,type,
    sK1718: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_2847,type,
    sK1719: ( nat * nat ) > nat ).

tff(func_def_2848,type,
    sK1720: ( nat * nat ) > nat ).

tff(func_def_2849,type,
    sK1721: ( nat * nat ) > nat ).

tff(func_def_2850,type,
    sK1722: ( nat * nat ) > nat ).

tff(func_def_2851,type,
    sK1723: 
      !>[X0: $tType] : ( ( set(X0) * set(set(X0)) ) > set(X0) ) ).

tff(func_def_2852,type,
    sK1724: 
      !>[X0: $tType] : ( ( set(X0) * set(set(X0)) ) > set(X0) ) ).

tff(func_def_2853,type,
    sK1725: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_2854,type,
    sK1726: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_2855,type,
    sK1727: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * set(X1) * fun(X1,X0) * fun(X1,X0) ) > X1 ) ).

tff(func_def_2856,type,
    sK1728: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_2857,type,
    sK1729: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_2858,type,
    sK1730: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * set(X1) * fun(X1,X0) * fun(X1,X0) ) > X1 ) ).

tff(func_def_2859,type,
    sK1731: 
      !>[X0: $tType] : ( ( set(set(X0)) * nat ) > set(X0) ) ).

tff(func_def_2860,type,
    sK1732: 
      !>[X0: $tType] : ( set(set(X0)) > set(X0) ) ).

tff(func_def_2861,type,
    sK1733: 
      !>[X0: $tType] : ( set(set(X0)) > set(X0) ) ).

tff(func_def_2862,type,
    sK1734: 
      !>[X0: $tType] : ( list(list(X0)) > list(X0) ) ).

tff(func_def_2863,type,
    sK1735: 
      !>[X0: $tType] : ( list(list(X0)) > list(X0) ) ).

tff(func_def_2864,type,
    sK1736: 
      !>[X0: $tType] : ( list(list(X0)) > list(X0) ) ).

tff(func_def_2865,type,
    sK1737: 
      !>[X0: $tType] : ( fun(X0,fun(X0,X0)) > X0 ) ).

tff(func_def_2866,type,
    sK1738: 
      !>[X0: $tType] : ( fun(X0,fun(X0,X0)) > X0 ) ).

tff(func_def_2867,type,
    sK1739: 
      !>[X0: $tType] : ( fun(X0,fun(X0,X0)) > X0 ) ).

tff(func_def_2868,type,
    sK1740: 
      !>[X0: $tType] : ( fun(X0,fun(X0,X0)) > X0 ) ).

tff(func_def_2869,type,
    sK1741: 
      !>[X0: $tType] : ( fun(X0,fun(X0,X0)) > X0 ) ).

tff(func_def_2870,type,
    sK1742: 
      !>[X0: $tType] : ( fun(X0,fun(X0,X0)) > X0 ) ).

tff(func_def_2871,type,
    sK1743: 
      !>[X0: $tType] : ( fun(X0,fun(X0,X0)) > X0 ) ).

tff(func_def_2872,type,
    sK1744: 
      !>[X0: $tType] : ( list(list(X0)) > list(X0) ) ).

tff(func_def_2873,type,
    sK1745: 
      !>[X0: $tType] : ( set(set(X0)) > set(X0) ) ).

tff(func_def_2874,type,
    sK1746: 
      !>[X0: $tType,X1: $tType] : ( fun(X1,X0) > X1 ) ).

tff(func_def_2875,type,
    sK1747: 
      !>[X0: $tType,X1: $tType] : ( fun(X1,X0) > X1 ) ).

tff(func_def_2876,type,
    sK1748: 
      !>[X0: $tType] : ( set(set(X0)) > set(X0) ) ).

tff(func_def_2877,type,
    sK1749: 
      !>[X0: $tType,X1: $tType] : ( ( set(set(X1)) * fun(X1,X0) ) > set(X1) ) ).

tff(func_def_2878,type,
    sK1750: 
      !>[X0: $tType,X1: $tType] : ( ( set(set(X1)) * fun(X1,X0) ) > set(X1) ) ).

tff(func_def_2879,type,
    sK1751: 
      !>[X0: $tType,X1: $tType] : ( ( set(set(X1)) * fun(X1,X0) ) > X1 ) ).

tff(func_def_2880,type,
    sK1752: 
      !>[X0: $tType] : ( set(set(X0)) > set(X0) ) ).

tff(func_def_2881,type,
    sK1753: 
      !>[X0: $tType] : ( set(set(X0)) > set(X0) ) ).

tff(func_def_2882,type,
    sK1754: 
      !>[X0: $tType] : ( set(set(X0)) > set(X0) ) ).

tff(func_def_2883,type,
    sK1755: 
      !>[X0: $tType] : ( set(set(X0)) > set(X0) ) ).

tff(func_def_2884,type,
    sK1756: 
      !>[X0: $tType,X1: $tType] : ( ( set(set(X1)) * fun(X1,X0) ) > set(X1) ) ).

tff(func_def_2885,type,
    sK1757: 
      !>[X0: $tType,X1: $tType] : ( ( set(set(X1)) * fun(X1,X0) ) > set(X1) ) ).

tff(func_def_2886,type,
    sK1758: 
      !>[X0: $tType,X1: $tType] : ( ( set(set(X1)) * fun(X1,X0) ) > X1 ) ).

tff(func_def_2887,type,
    sK1759: 
      !>[X0: $tType] : ( set(set(X0)) > set(X0) ) ).

tff(func_def_2888,type,
    sK1760: 
      !>[X0: $tType] : ( set(set(X0)) > set(X0) ) ).

tff(func_def_2889,type,
    sK1761: 
      !>[X0: $tType] : ( set(set(X0)) > set(X0) ) ).

tff(func_def_2890,type,
    sK1762: ( fun(real,$o) * nat * real ) > real ).

tff(func_def_2891,type,
    sK1763: 
      !>[X0: $tType] : ( ( nat * fun(X0,fun(X0,$o)) * X0 * X0 ) > fun(nat,X0) ) ).

tff(func_def_2892,type,
    sK1764: 
      !>[X0: $tType] : ( ( nat * fun(X0,fun(X0,$o)) * fun(nat,X0) ) > nat ) ).

tff(func_def_2893,type,
    sK1765: 
      !>[X0: $tType] : ( ( nat * fun(X0,fun(X0,$o)) * X0 * X0 ) > X0 ) ).

tff(func_def_2894,type,
    sK1766: 
      !>[X0: $tType] : ( ( nat * fun(X0,fun(X0,$o)) * X0 * X0 ) > X0 ) ).

tff(func_def_2895,type,
    sK1767: 
      !>[X0: $tType] : ( ( nat * fun(X0,fun(X0,$o)) * X0 * X0 ) > X0 ) ).

tff(func_def_2896,type,
    sK1768: 
      !>[X0: $tType] : ( ( nat * fun(X0,fun(X0,$o)) * X0 * X0 ) > X0 ) ).

tff(func_def_2897,type,
    sK1769: 
      !>[X0: $tType] : ( ( nat * fun(X0,fun(X0,$o)) * X0 * X0 ) > nat ) ).

tff(func_def_2898,type,
    sK1770: 
      !>[X0: $tType] : ( ( nat * fun(X0,fun(X0,$o)) * X0 * X0 ) > X0 ) ).

tff(func_def_2899,type,
    sK1771: 
      !>[X0: $tType] : ( ( nat * fun(X0,fun(X0,$o)) * X0 * X0 ) > nat ) ).

tff(func_def_2900,type,
    sK1772: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( product_prod(X1,X2) * fun(X0,X1) * product_prod(X0,X2) ) > X0 ) ).

tff(func_def_2901,type,
    sK1773: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( product_prod(X1,X2) * fun(X0,X1) * product_prod(X0,X2) ) > X2 ) ).

tff(func_def_2902,type,
    sK1774: fun(int,$o) > product_prod(nat,nat) ).

tff(func_def_2903,type,
    sK1775: int > nat ).

tff(func_def_2904,type,
    sK1776: int > nat ).

tff(func_def_2905,type,
    sK1777: 
      !>[X0: $tType] : ( list(list(X0)) > list(X0) ) ).

tff(func_def_2906,type,
    sK1778: 
      !>[X0: $tType] : ( list(list(X0)) > list(X0) ) ).

tff(func_def_2907,type,
    sK1779: 
      !>[X0: $tType] : ( list(list(X0)) > list(X0) ) ).

tff(func_def_2908,type,
    sK1780: 
      !>[X0: $tType] : ( list(list(X0)) > list(X0) ) ).

tff(func_def_2909,type,
    sK1781: 
      !>[X0: $tType] : ( list(list(X0)) > list(X0) ) ).

tff(func_def_2910,type,
    sK1782: 
      !>[X0: $tType,X1: $tType] : ( ( X1 * product_prod(X0,X1) ) > X0 ) ).

tff(func_def_2911,type,
    sK1783: 
      !>[X0: $tType,X1: $tType] : ( ( X0 * product_prod(X0,X1) ) > X1 ) ).

tff(func_def_2912,type,
    sK1784: 
      !>[X0: $tType] : ( ( X0 * set(X0) ) > X0 ) ).

tff(func_def_2913,type,
    sK1785: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_2914,type,
    sK1786: ( set(nat) * nat ) > nat ).

tff(func_def_2915,type,
    sK1787: set(nat) > nat ).

tff(func_def_2916,type,
    sK1788: set(nat) > nat ).

tff(func_def_2917,type,
    sK1789: ( set(int) * int ) > int ).

tff(func_def_2918,type,
    sK1790: ( vEBT_VEBT * nat ) > option(product_prod(nat,nat)) ).

tff(func_def_2919,type,
    sK1791: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_2920,type,
    sK1792: ( vEBT_VEBT * nat ) > list(vEBT_VEBT) ).

tff(func_def_2921,type,
    sK1793: ( vEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_2922,type,
    sK1796: ( vEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_2923,type,
    sK1799: list(vEBT_VEBT) > vEBT_VEBT ).

tff(func_def_2924,type,
    sK1800: vEBT_VEBT > nat ).

tff(func_def_2925,type,
    sK1801: list(vEBT_VEBT) > nat ).

tff(func_def_2926,type,
    sK1802: 
      !>[X0: $tType] : ( ( set(X0) * fun(X0,$o) ) > X0 ) ).

tff(func_def_2927,type,
    sK1803: 
      !>[X0: $tType] : ( ( fun(X0,$o) * option(X0) ) > X0 ) ).

tff(func_def_2928,type,
    sK1804: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_2929,type,
    sK1805: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,X0) * fun(X1,X0) ) > X1 ) ).

tff(func_def_2930,type,
    sK1806: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_2931,type,
    sK1807: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,X0) * fun(X1,X0) ) > X1 ) ).

tff(func_def_2932,type,
    sK1808: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_2933,type,
    sK1809: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_2934,type,
    sK1810: ( nat * list(vEBT_VEBT) ) > vEBT_VEBT ).

tff(func_def_2935,type,
    sK1811: list(vEBT_VEBT) > vEBT_VEBT ).

tff(func_def_2936,type,
    sK1812: vEBT_VEBT > nat ).

tff(func_def_2937,type,
    sK1814: list(vEBT_VEBT) > nat ).

tff(func_def_2938,type,
    sK1815: ( vEBT_VEBT * nat * $o ) > option(product_prod(nat,nat)) ).

tff(func_def_2939,type,
    sK1816: ( vEBT_VEBT * nat * $o ) > nat ).

tff(func_def_2940,type,
    sK1817: ( vEBT_VEBT * nat * $o ) > list(vEBT_VEBT) ).

tff(func_def_2941,type,
    sK1818: ( vEBT_VEBT * nat * $o ) > vEBT_VEBT ).

tff(func_def_2942,type,
    sK1824: ( nat * list(vEBT_VEBT) ) > vEBT_VEBT ).

tff(func_def_2943,type,
    sK1825: list(vEBT_VEBT) > vEBT_VEBT ).

tff(func_def_2944,type,
    sK1826: vEBT_VEBT > nat ).

tff(func_def_2945,type,
    sK1828: list(vEBT_VEBT) > nat ).

tff(func_def_2946,type,
    sK1829: ( vEBT_VEBT * nat ) > option(product_prod(nat,nat)) ).

tff(func_def_2947,type,
    sK1830: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_2948,type,
    sK1831: ( vEBT_VEBT * nat ) > list(vEBT_VEBT) ).

tff(func_def_2949,type,
    sK1832: ( vEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_2950,type,
    sK1838: list(vEBT_VEBT) > vEBT_VEBT ).

tff(func_def_2951,type,
    sK1839: vEBT_VEBT > nat ).

tff(func_def_2952,type,
    sK1840: list(vEBT_VEBT) > nat ).

tff(func_def_2953,type,
    sK1843: ( vEBT_VEBT * nat * $o ) > option(product_prod(nat,nat)) ).

tff(func_def_2954,type,
    sK1844: ( vEBT_VEBT * nat * $o ) > nat ).

tff(func_def_2955,type,
    sK1845: ( vEBT_VEBT * nat * $o ) > list(vEBT_VEBT) ).

tff(func_def_2956,type,
    sK1846: ( vEBT_VEBT * nat * $o ) > vEBT_VEBT ).

tff(func_def_2957,type,
    sK1853: ( nat * list(vEBT_VEBT) ) > vEBT_VEBT ).

tff(func_def_2958,type,
    sK1854: list(vEBT_VEBT) > vEBT_VEBT ).

tff(func_def_2959,type,
    sK1855: vEBT_VEBT > nat ).

tff(func_def_2960,type,
    sK1857: list(vEBT_VEBT) > nat ).

tff(func_def_2961,type,
    sK1860: ( vEBT_VEBT * nat ) > option(product_prod(nat,nat)) ).

tff(func_def_2962,type,
    sK1861: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_2963,type,
    sK1862: ( vEBT_VEBT * nat ) > list(vEBT_VEBT) ).

tff(func_def_2964,type,
    sK1863: ( vEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_2965,type,
    sK1869: list(vEBT_VEBT) > vEBT_VEBT ).

tff(func_def_2966,type,
    sK1870: vEBT_VEBT > nat ).

tff(func_def_2967,type,
    sK1871: list(vEBT_VEBT) > nat ).

tff(func_def_2968,type,
    sK1874: ( vEBT_VEBT * nat ) > option(product_prod(nat,nat)) ).

tff(func_def_2969,type,
    sK1875: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_2970,type,
    sK1876: ( vEBT_VEBT * nat ) > list(vEBT_VEBT) ).

tff(func_def_2971,type,
    sK1877: ( vEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_2972,type,
    sK1883: ( nat * list(vEBT_VEBT) ) > vEBT_VEBT ).

tff(func_def_2973,type,
    sK1884: list(vEBT_VEBT) > vEBT_VEBT ).

tff(func_def_2974,type,
    sK1885: vEBT_VEBT > nat ).

tff(func_def_2975,type,
    sK1886: list(vEBT_VEBT) > nat ).

tff(func_def_2976,type,
    sK1887: 
      !>[X0: $tType] : ( ( list(list(X0)) * list(list(X0)) ) > product_prod(list(X0),list(X0)) ) ).

tff(func_def_2977,type,
    sK1888: 
      !>[X0: $tType] : ( ( list(list(X0)) * list(list(X0)) ) > product_prod(list(X0),list(X0)) ) ).

tff(func_def_2978,type,
    sK1889: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) ) > product_prod(X0,X0) ) ).

tff(func_def_2979,type,
    sK1890: 
      !>[X0: $tType,X1: $tType] : ( ( list(X1) * list(X0) * set(product_prod(X1,X0)) ) > product_prod(X1,X0) ) ).

tff(func_def_2980,type,
    sK1891: ( fun(nat,$o) * nat ) > nat ).

tff(func_def_2981,type,
    sK1892: ( fun(nat,$o) * nat ) > nat ).

tff(func_def_2982,type,
    sK1893: ( fun(nat,$o) * nat ) > nat ).

tff(func_def_2983,type,
    sK1894: 
      !>[X0: $tType] : ( ( fun(X0,$o) * X0 ) > X0 ) ).

tff(func_def_2984,type,
    sK1895: 
      !>[X0: $tType] : ( ( fun(X0,$o) * fun(X0,$o) ) > X0 ) ).

tff(func_def_2985,type,
    sK1896: 
      !>[X0: $tType] : ( ( fun(X0,$o) * X0 ) > X0 ) ).

tff(func_def_2986,type,
    sK1897: 
      !>[X0: $tType,X1: $tType] : ( ( list(X1) * list(X0) * set(product_prod(X1,X0)) ) > nat ) ).

tff(func_def_2987,type,
    sK1898: ( real * real ) > real ).

tff(func_def_2988,type,
    sK1899: real > real ).

tff(func_def_2989,type,
    sK1900: 
      !>[X0: $tType] : ( ( list(X0) * set(nat) ) > nat ) ).

tff(func_def_2990,type,
    sK1901: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * set(X0) ) > X0 ) ).

tff(func_def_2991,type,
    sK1902: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * set(X0) ) > X0 ) ).

tff(func_def_2992,type,
    sK1903: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * set(X0) ) > X1 ) ).

tff(func_def_2993,type,
    sK1904: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * set(X0) * X1 ) > X0 ) ).

tff(func_def_2994,type,
    sK1905: 
      !>[X0: $tType] : ( fun(X0,$o) > nat ) ).

tff(func_def_2995,type,
    sK1906: 
      !>[X0: $tType] : ( X0 > nat ) ).

tff(func_def_2996,type,
    sK1907: 
      !>[X0: $tType,X1: $tType] : ( ( X0 * fun(X1,X0) * set(X1) ) > X1 ) ).

tff(func_def_2997,type,
    sK1908: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * set(X1) * fun(X0,$o) ) > X1 ) ).

tff(func_def_2998,type,
    sK1909: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,X0) * fun(X1,X0) ) > X1 ) ).

tff(func_def_2999,type,
    sK1910: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * set(X1) * fun(X0,$o) ) > X0 ) ).

tff(func_def_3000,type,
    sK1911: 
      !>[X0: $tType,X1: $tType] : ( ( X0 * fun(X1,X0) * set(X1) ) > X1 ) ).

tff(func_def_3001,type,
    sK1912: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * set(X1) * fun(set(X0),$o) ) > set(X0) ) ).

tff(func_def_3002,type,
    sK1913: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * set(X1) * fun(set(X0),$o) ) > set(X1) ) ).

tff(func_def_3003,type,
    sK1914: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X1,X0) * set(X1) ) > set(X1) ) ).

tff(func_def_3004,type,
    sK1915: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * set(X0) * set(X1) ) > X0 ) ).

tff(func_def_3005,type,
    sK1916: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X1,X0) * set(X1) ) > set(X1) ) ).

tff(func_def_3006,type,
    sK1917: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,X1) * set(X1) ) > X0 ) ).

tff(func_def_3007,type,
    sK1918: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,$o) * fun(X0,X1) * set(X1) ) > X0 ) ).

tff(func_def_3008,type,
    sK1919: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_3009,type,
    sK1920: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( set(X0) * set(X2) * fun(X0,X1) * fun(X2,X1) ) > X0 ) ).

tff(func_def_3010,type,
    sK1921: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( set(X0) * set(X2) * fun(X0,X1) * fun(X2,X1) ) > X2 ) ).

tff(func_def_3011,type,
    sK1922: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( set(X0) * set(X2) * fun(X2,X1) * fun(X0,X1) ) > X0 ) ).

tff(func_def_3012,type,
    sK1923: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( set(X0) * set(X2) * fun(X2,X1) * fun(X0,X1) ) > X2 ) ).

tff(func_def_3013,type,
    sK1924: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X1,X0) * set(X1) ) > set(X1) ) ).

tff(func_def_3014,type,
    sK1925: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * set(X1) * fun(set(X0),$o) ) > set(X0) ) ).

tff(func_def_3015,type,
    sK1926: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * set(X1) * fun(set(X0),$o) ) > set(X1) ) ).

tff(func_def_3016,type,
    sK1927: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * set(X1) * fun(set(X0),$o) ) > set(X0) ) ).

tff(func_def_3017,type,
    sK1928: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * set(X1) * fun(set(X0),$o) ) > set(X1) ) ).

tff(func_def_3018,type,
    sK1929: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,X1) * X1 ) > X0 ) ).

tff(func_def_3019,type,
    sK1930: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,X1) * X1 ) > X0 ) ).

tff(func_def_3020,type,
    sK1931: fun(rat,$o) > int ).

tff(func_def_3021,type,
    sK1932: fun(rat,$o) > int ).

tff(func_def_3022,type,
    sK1933: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,X1) * X1 ) > X0 ) ).

tff(func_def_3023,type,
    sK1934: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,X1) * X1 ) > X1 ) ).

tff(func_def_3024,type,
    sK1935: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( set(X0) * set(X2) * fun(X0,X1) * fun(X2,X1) ) > X0 ) ).

tff(func_def_3025,type,
    sK1936: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,X1) * X1 ) > X0 ) ).

tff(func_def_3026,type,
    sK1937: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * fun(X1,X0) ) > X1 ) ).

tff(func_def_3027,type,
    sK1938: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * set(X0) * X1 ) > X0 ) ).

tff(func_def_3028,type,
    sK1939: 
      !>[X0: $tType,X1: $tType] : ( ( X0 * fun(X1,X0) * set(X1) ) > X1 ) ).

tff(func_def_3029,type,
    sK1940: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * X1 * fun(X0,X1) ) > X0 ) ).

tff(func_def_3030,type,
    sK1941: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * X1 * fun(X0,X1) ) > X1 ) ).

tff(func_def_3031,type,
    sK1942: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( set(X2) * set(X0) * fun(X0,X1) * fun(X2,X1) ) > X2 ) ).

tff(func_def_3032,type,
    sK1943: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * fun(X1,X0) ) > X1 ) ).

tff(func_def_3033,type,
    sK1944: 
      !>[X0: $tType,X1: $tType] : ( ( X0 * fun(X1,X0) * set(X1) ) > X1 ) ).

tff(func_def_3034,type,
    sK1945: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * X0 * fun(X1,X0) ) > X1 ) ).

tff(func_def_3035,type,
    sK1946: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * set(X0) * X1 ) > X0 ) ).

tff(func_def_3036,type,
    sK1947: 
      !>[X0: $tType] : ( set(X0) > nat ) ).

tff(func_def_3037,type,
    sK1948: 
      !>[X0: $tType] : ( set(X0) > fun(nat,X0) ) ).

tff(func_def_3038,type,
    sK1949: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,X0) * fun(X1,X0) ) > X1 ) ).

tff(func_def_3039,type,
    sK1950: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,X0) * X1 ) > X1 ) ).

tff(func_def_3040,type,
    sK1951: 
      !>[X0: $tType,X1: $tType] : ( ( X0 * fun(X1,X0) * set(X1) ) > X0 ) ).

tff(func_def_3041,type,
    sK1952: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * set(X1) * X0 ) > X1 ) ).

tff(func_def_3042,type,
    sK1953: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * set(X0) * X1 ) > X1 ) ).

tff(func_def_3043,type,
    sK1954: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * set(X0) * X1 ) > X0 ) ).

tff(func_def_3044,type,
    sK1955: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * X1 * fun(X0,X1) ) > X0 ) ).

tff(func_def_3045,type,
    sK1956: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * X1 * fun(X0,X1) ) > X0 ) ).

tff(func_def_3046,type,
    sK1957: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,X1) * X1 ) > X0 ) ).

tff(func_def_3047,type,
    sK1958: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,X1) * X1 ) > X0 ) ).

tff(func_def_3048,type,
    sK1959: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,X1) * X1 ) > X0 ) ).

tff(func_def_3049,type,
    sK1960: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * X0 * fun(X1,X0) ) > X1 ) ).

tff(func_def_3050,type,
    sK1961: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,X0) * fun(X1,X0) ) > X1 ) ).

tff(func_def_3051,type,
    sK1962: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,X0) * fun(X1,X0) ) > X1 ) ).

tff(func_def_3052,type,
    sK1963: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( set(X2) * fun(X2,X0) * fun(X0,X1) ) > X2 ) ).

tff(func_def_3053,type,
    sK1964: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( set(X2) * fun(X2,X0) * fun(X0,X1) ) > X2 ) ).

tff(func_def_3054,type,
    sK1965: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( set(X2) * fun(X2,X0) * fun(X0,X1) ) > X2 ) ).

tff(func_def_3055,type,
    sK1966: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( set(X2) * fun(X2,X0) * fun(X0,X1) ) > X2 ) ).

tff(func_def_3056,type,
    sK1967: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( set(X2) * fun(X0,X1) * fun(X2,X0) ) > X2 ) ).

tff(func_def_3057,type,
    sK1968: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,set(X0)) ) > X1 ) ).

tff(func_def_3058,type,
    sK1969: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,set(X0)) ) > X1 ) ).

tff(func_def_3059,type,
    sK1970: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,filter(X1)) ) > set(X0) ) ).

tff(func_def_3060,type,
    sK1971: set(int) > int ).

tff(func_def_3061,type,
    sK1972: set(int) > int ).

tff(func_def_3062,type,
    sK1973: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,set(X1)) * set(X0) ) > X0 ) ).

tff(func_def_3063,type,
    sK1974: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,set(X1)) * set(X0) ) > X0 ) ).

tff(func_def_3064,type,
    sK1975: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,set(X1)) * set(X0) * set(X1) ) > X0 ) ).

tff(func_def_3065,type,
    sK1976: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,set(X1)) * set(X1) ) > X0 ) ).

tff(func_def_3066,type,
    sK1977: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,set(X0)) * fun(X1,set(X0)) ) > X1 ) ).

tff(func_def_3067,type,
    sK1978: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X1,set(X0)) * set(X1) ) > X1 ) ).

tff(func_def_3068,type,
    sK1979: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,set(X0)) * fun(X1,set(X0)) ) > X1 ) ).

tff(func_def_3069,type,
    sK1980: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * set(X0) * fun(X1,set(X0)) ) > X1 ) ).

tff(func_def_3070,type,
    sK1981: 
      !>[X0: $tType] : ( ( set(set(X0)) * X0 ) > set(X0) ) ).

tff(func_def_3071,type,
    sK1982: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * set(X0) * fun(X1,fun(X0,$o)) * fun(X1,fun(X0,$o)) ) > X1 ) ).

tff(func_def_3072,type,
    sK1983: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * set(X0) * fun(X1,fun(X0,$o)) * fun(X1,fun(X0,$o)) ) > X0 ) ).

tff(func_def_3073,type,
    sK1984: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,set(X0)) ) > X1 ) ).

tff(func_def_3074,type,
    sK1985: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,set(X0)) ) > X1 ) ).

tff(func_def_3075,type,
    sK1986: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,set(X0)) ) > X1 ) ).

tff(func_def_3076,type,
    sK1987: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,set(X0)) ) > X1 ) ).

tff(func_def_3077,type,
    sK1988: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,set(X0)) ) > X1 ) ).

tff(func_def_3078,type,
    sK1989: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,set(X0)) ) > X1 ) ).

tff(func_def_3079,type,
    sK1990: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,set(X0)) ) > X1 ) ).

tff(func_def_3080,type,
    sK1991: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,set(X0)) ) > X1 ) ).

tff(func_def_3081,type,
    sK1992: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,set(X0)) ) > X1 ) ).

tff(func_def_3082,type,
    sK1993: 
      !>[X0: $tType] : ( ( fun(nat,set(X0)) * set(X0) ) > nat ) ).

tff(func_def_3083,type,
    sK1994: 
      !>[X0: $tType] : ( ( fun(nat,set(X0)) * nat ) > nat ) ).

tff(func_def_3084,type,
    sK1995: 
      !>[X0: $tType] : ( ( fun(nat,set(X0)) * nat ) > nat ) ).

tff(func_def_3085,type,
    sK1996: 
      !>[X0: $tType] : ( ( fun(nat,set(X0)) * nat ) > nat ) ).

tff(func_def_3086,type,
    sK1997: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_3087,type,
    sK1998: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_3088,type,
    sK1999: 
      !>[X0: $tType] : ( fun(X0,$o) > X0 ) ).

tff(func_def_3089,type,
    sK2000: 
      !>[X0: $tType] : ( fun(X0,$o) > X0 ) ).

tff(func_def_3090,type,
    sK2001: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * set(X1) ) > X0 ) ).

tff(func_def_3091,type,
    sK2002: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * set(X1) * X0 ) > X1 ) ).

tff(func_def_3092,type,
    sK2003: 
      !>[X0: $tType,X1: $tType] : ( ( X0 * fun(X1,X0) ) > X1 ) ).

tff(func_def_3093,type,
    sK2004: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,filter(X1)) ) > X0 ) ).

tff(func_def_3094,type,
    sK2005: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,filter(X1)) ) > X0 ) ).

tff(func_def_3095,type,
    sK2006: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,filter(X1)) ) > X0 ) ).

tff(func_def_3096,type,
    sK2007: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_3097,type,
    sK2008: 
      !>[X0: $tType] : X0 ).

tff(func_def_3098,type,
    sK2009: 
      !>[X0: $tType] : ( set(filter(X0)) > set(filter(X0)) ) ).

tff(func_def_3099,type,
    sK2010: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_3100,type,
    sK2011: 
      !>[X0: $tType] : ( ( fun(nat,set(X0)) * set(X0) ) > nat ) ).

tff(func_def_3101,type,
    sK2012: 
      !>[X0: $tType] : ( ( fun(nat,set(X0)) * fun(nat,set(X0)) * nat ) > nat ) ).

tff(func_def_3102,type,
    sK2013: 
      !>[X0: $tType] : ( ( fun(nat,set(X0)) * fun(nat,set(X0)) * nat ) > nat ) ).

tff(func_def_3103,type,
    sK2014: 
      !>[X0: $tType] : ( ( product_prod(X0,X0) * set(X0) ) > X0 ) ).

tff(func_def_3104,type,
    sK2016: ( fun(real,real) * real ) > real ).

tff(func_def_3105,type,
    sK2017: ( fun(real,real) * real ) > real ).

tff(func_def_3106,type,
    sK2018: ( fun(real,real) * real ) > real ).

tff(func_def_3107,type,
    sK2019: ( fun(real,real) * real ) > real ).

tff(func_def_3108,type,
    sK2020: ( real * real * fun(real,real) ) > real ).

tff(func_def_3109,type,
    sK2021: ( real * real * fun(real,real) ) > real ).

tff(func_def_3110,type,
    sK2022: ( fun(real,real) * real * set(real) ) > real ).

tff(func_def_3111,type,
    sK2023: ( fun(real,real) * real * set(real) ) > real ).

tff(func_def_3112,type,
    sK2024: ( fun(real,real) * real * set(real) ) > real ).

tff(func_def_3113,type,
    sK2025: ( fun(real,real) * real * set(real) ) > real ).

tff(func_def_3114,type,
    sK2026: ( real * real * fun(real,real) * fun(real,real) ) > real ).

tff(func_def_3115,type,
    sK2027: ( real * real * fun(real,real) * fun(real,real) ) > real ).

tff(func_def_3116,type,
    sK2028: ( fun(real,real) * real * real ) > real ).

tff(func_def_3117,type,
    sK2029: ( fun(real,real) * real * real ) > real ).

tff(func_def_3118,type,
    sK2030: ( fun(real,real) * real * real ) > real ).

tff(func_def_3119,type,
    sK2031: 
      !>[X0: $tType] : ( ( real * fun(nat,X0) * fun(X0,X0) ) > X0 ) ).

tff(func_def_3120,type,
    sK2032: 
      !>[X0: $tType] : ( ( real * fun(nat,X0) ) > X0 ) ).

tff(func_def_3121,type,
    sK2033: fun(nat,fun(real,real)) > nat ).

tff(func_def_3122,type,
    sK2034: fun(nat,fun(real,real)) > real ).

tff(func_def_3123,type,
    sK2035: ( fun(nat,fun(real,real)) * fun(real,real) * real * nat ) > real ).

tff(func_def_3124,type,
    sK2036: fun(nat,fun(real,real)) > nat ).

tff(func_def_3125,type,
    sK2037: fun(nat,fun(real,real)) > real ).

tff(func_def_3126,type,
    sK2038: ( fun(nat,fun(real,real)) * fun(real,real) * real * nat ) > real ).

tff(func_def_3127,type,
    sK2039: ( real * nat * fun(nat,fun(real,real)) ) > nat ).

tff(func_def_3128,type,
    sK2040: ( real * nat * fun(nat,fun(real,real)) ) > real ).

tff(func_def_3129,type,
    sK2041: ( real * nat * fun(nat,fun(real,real)) * fun(real,real) ) > real ).

tff(func_def_3130,type,
    sK2042: ( real * fun(nat,fun(real,real)) * nat ) > nat ).

tff(func_def_3131,type,
    sK2043: ( real * fun(nat,fun(real,real)) * nat ) > real ).

tff(func_def_3132,type,
    sK2044: ( real * fun(nat,fun(real,real)) * fun(real,real) * nat ) > real ).

tff(func_def_3133,type,
    sK2045: ( real * nat * fun(nat,fun(real,real)) ) > nat ).

tff(func_def_3134,type,
    sK2046: ( real * nat * fun(nat,fun(real,real)) ) > real ).

tff(func_def_3135,type,
    sK2047: ( real * nat * fun(nat,fun(real,real)) * fun(real,real) ) > real ).

tff(func_def_3136,type,
    sK2048: fun(nat,fun(real,real)) > nat ).

tff(func_def_3137,type,
    sK2049: fun(nat,fun(real,real)) > real ).

tff(func_def_3138,type,
    sK2050: ( fun(nat,fun(real,real)) * fun(real,real) * nat * real ) > real ).

tff(func_def_3139,type,
    sK2051: ( fun(nat,fun(real,real)) * nat * real ) > nat ).

tff(func_def_3140,type,
    sK2052: ( fun(nat,fun(real,real)) * nat * real ) > real ).

tff(func_def_3141,type,
    sK2053: ( fun(nat,fun(real,real)) * fun(real,real) * nat * real ) > real ).

tff(func_def_3142,type,
    sK2054: ( nat * fun(nat,fun(real,real)) * real * real ) > nat ).

tff(func_def_3143,type,
    sK2055: ( nat * fun(nat,fun(real,real)) * real * real ) > real ).

tff(func_def_3144,type,
    sK2056: ( nat * fun(nat,fun(real,real)) * fun(real,real) * real * real ) > real ).

tff(func_def_3145,type,
    sK2057: ( nat * fun(nat,fun(real,real)) * real * real ) > nat ).

tff(func_def_3146,type,
    sK2058: ( nat * fun(nat,fun(real,real)) * real * real ) > real ).

tff(func_def_3147,type,
    sK2059: ( nat * fun(nat,fun(real,real)) * fun(real,real) * real * real ) > real ).

tff(func_def_3148,type,
    sK2060: ( nat * fun(nat,fun(real,real)) * real * real ) > nat ).

tff(func_def_3149,type,
    sK2061: ( nat * fun(nat,fun(real,real)) * real * real ) > real ).

tff(func_def_3150,type,
    sK2062: ( nat * fun(nat,fun(real,real)) * fun(real,real) * real * real ) > real ).

tff(func_def_3151,type,
    sK2063: ( nat * real * fun(nat,fun(real,real)) ) > nat ).

tff(func_def_3152,type,
    sK2064: ( nat * real * fun(nat,fun(real,real)) ) > real ).

tff(func_def_3153,type,
    sK2065: ( real * fun(nat,real) ) > real ).

tff(func_def_3154,type,
    sK2066: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,X1) * fun(X0,fun(X0,X1)) ) > X0 ) ).

tff(func_def_3155,type,
    sK2067: ( real * real * fun(real,real) ) > real ).

tff(func_def_3156,type,
    sK2068: 
      !>[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_3157,type,
    sK2069: 
      !>[X0: $tType,X1: $tType] : ( ( X1 * fun(X1,X0) * real ) > X1 ) ).

tff(func_def_3158,type,
    sK2070: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( set(X1) * fun(X2,fun(X1,X0)) * filter(X2) ) > X1 ) ).

tff(func_def_3159,type,
    sK2071: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * X0 * X0 ) > X0 ) ).

tff(func_def_3160,type,
    sK2072: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * X0 * X1 * X0 ) > X0 ) ).

tff(func_def_3161,type,
    sK2073: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * X0 * X0 ) > X0 ) ).

tff(func_def_3162,type,
    sK2074: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * X0 * X1 * X0 ) > X0 ) ).

tff(func_def_3163,type,
    sK2075: 
      !>[X0: $tType,X1: $tType] : ( ( real * X1 * fun(X1,X0) * fun(X1,X0) ) > X1 ) ).

tff(func_def_3164,type,
    sK2076: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * X0 * X1 ) > real ) ).

tff(func_def_3165,type,
    sK2077: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * X0 * X1 * real ) > real ) ).

tff(func_def_3166,type,
    sK2078: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * X0 * X1 * real ) > X1 ) ).

tff(func_def_3167,type,
    sK2079: 
      !>[X0: $tType,X1: $tType] : ( ( X1 * fun(X1,X0) * X0 ) > real ) ).

tff(func_def_3168,type,
    sK2080: 
      !>[X0: $tType,X1: $tType] : ( ( X1 * fun(X1,X0) * X0 * real ) > X1 ) ).

tff(func_def_3169,type,
    sK2081: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * X0 * X1 * real ) > real ) ).

tff(func_def_3170,type,
    sK2082: ( fun(real,real) * real ) > real ).

tff(func_def_3171,type,
    sK2083: ( fun(real,real) * real ) > real ).

tff(func_def_3172,type,
    sK2084: ( fun(real,real) * real ) > real ).

tff(func_def_3173,type,
    sK2085: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * X0 * X1 * real ) > X1 ) ).

tff(func_def_3174,type,
    sK2086: 
      !>[X0: $tType,X1: $tType] : ( ( real * fun(X1,X0) * real ) > X1 ) ).

tff(func_def_3175,type,
    sK2087: 
      !>[X0: $tType] : ( ( real * real * fun(real,X0) ) > real ) ).

tff(func_def_3176,type,
    sK2088: 
      !>[X0: $tType] : ( ( real * real * fun(real,X0) ) > X0 ) ).

tff(func_def_3177,type,
    sK2089: 
      !>[X0: $tType] : ( ( real * real * fun(real,X0) ) > real ) ).

tff(func_def_3178,type,
    sK2090: 
      !>[X0: $tType] : ( ( real * real * fun(real,X0) ) > real ) ).

tff(func_def_3179,type,
    sK2091: 
      !>[X0: $tType] : ( ( real * real * fun(real,X0) ) > X0 ) ).

tff(func_def_3180,type,
    sK2092: 
      !>[X0: $tType] : ( ( real * real * fun(real,X0) ) > real ) ).

tff(func_def_3181,type,
    sK2093: 
      !>[X0: $tType] : ( ( real * real * fun(real,X0) ) > real ) ).

tff(func_def_3182,type,
    sK2094: 
      !>[X0: $tType] : ( ( real * real * fun(real,X0) ) > X0 ) ).

tff(func_def_3183,type,
    sK2095: ( real * real * fun(real,real) * fun(real,real) ) > real ).

tff(func_def_3184,type,
    sK2096: ( real * real * fun(real,real) ) > real ).

tff(func_def_3185,type,
    sK2097: 
      !>[X0: $tType] : ( ( real * real * fun(real,X0) ) > real ) ).

tff(func_def_3186,type,
    sK2098: 
      !>[X0: $tType] : ( ( real * real * fun(real,X0) ) > X0 ) ).

tff(func_def_3187,type,
    sK2099: 
      !>[X0: $tType] : ( ( real * real * fun(real,X0) * X0 ) > real ) ).

tff(func_def_3188,type,
    sK2100: 
      !>[X0: $tType] : ( ( real * fun(nat,X0) * fun(X0,X0) ) > X0 ) ).

tff(func_def_3189,type,
    sK2101: 
      !>[X0: $tType] : ( ( real * fun(nat,X0) * fun(X0,X0) ) > X0 ) ).

tff(func_def_3190,type,
    sK2102: 
      !>[X0: $tType,X1: $tType] : ( ( real * fun(nat,real) * fun(X1,fun(nat,X0)) ) > X1 ) ).

tff(func_def_3191,type,
    sK2103: 
      !>[X0: $tType,X1: $tType] : ( ( real * fun(nat,real) * fun(X1,fun(nat,X0)) ) > nat ) ).

tff(func_def_3192,type,
    sK2104: ( fun(real,real) * fun(real,real) * real * real ) > real ).

tff(func_def_3193,type,
    sK2105: ( real * real * fun(real,real) ) > real ).

tff(func_def_3194,type,
    sK2106: ( real * real * fun(real,real) * fun(real,real) ) > real ).

tff(func_def_3195,type,
    sK2107: ( real * real * fun(real,real) ) > real ).

tff(func_def_3196,type,
    sK2108: ( real * real * fun(real,real) ) > real ).

tff(func_def_3197,type,
    sK2109: ( real * real * fun(real,real) ) > real ).

tff(func_def_3198,type,
    sK2110: ( real * real * fun(real,real) * fun(real,real) ) > real ).

tff(func_def_3199,type,
    sK2111: ( real * real * fun(real,real) * fun(real,real) ) > real ).

tff(func_def_3200,type,
    sK2112: ( real * real * fun(real,real) * fun(real,real) * fun(real,real) * fun(real,real) ) > real ).

tff(func_def_3201,type,
    sK2116: fun(nat,real) > nat ).

tff(func_def_3202,type,
    sK2117: fun(nat,real) > nat ).

tff(func_def_3203,type,
    sK2118: 
      !>[X0: $tType] : ( X0 > fun(nat,X0) ) ).

tff(func_def_3204,type,
    sK2119: 
      !>[X0: $tType] : ( X0 > fun(nat,X0) ) ).

tff(func_def_3205,type,
    sK2120: 
      !>[X0: $tType] : ( ( nat * fun(nat,X0) * fun(nat,X0) ) > nat ) ).

tff(func_def_3206,type,
    sK2121: 
      !>[X0: $tType] : ( ( fun(nat,X0) * fun(nat,X0) * nat ) > nat ) ).

tff(func_def_3207,type,
    sK2122: 
      !>[X0: $tType] : ( ( fun(nat,X0) * nat * X0 ) > nat ) ).

tff(func_def_3208,type,
    sK2123: 
      !>[X0: $tType] : ( ( fun(nat,X0) * nat * X0 ) > nat ) ).

tff(func_def_3209,type,
    sK2124: 
      !>[X0: $tType] : ( ( fun(nat,X0) * X0 * nat ) > nat ) ).

tff(func_def_3210,type,
    sK2125: 
      !>[X0: $tType] : ( ( fun(nat,X0) * X0 * nat ) > nat ) ).

tff(func_def_3211,type,
    sK2126: 
      !>[X0: $tType] : ( ( fun(nat,X0) * set(X0) ) > nat ) ).

tff(func_def_3212,type,
    sK2127: 
      !>[X0: $tType] : ( ( fun(nat,X0) * set(X0) ) > nat ) ).

tff(func_def_3213,type,
    sK2128: 
      !>[X0: $tType] : ( set(X0) > fun(nat,X0) ) ).

tff(func_def_3214,type,
    sK2129: fun(nat,real) > nat ).

tff(func_def_3215,type,
    sK2130: fun(nat,real) > nat ).

tff(func_def_3216,type,
    sK2131: ( fun(nat,real) * fun(nat,real) ) > nat ).

tff(func_def_3217,type,
    sK2132: ( fun(nat,real) * fun(nat,real) ) > real ).

tff(func_def_3218,type,
    sK2133: fun(nat,real) > real ).

tff(func_def_3219,type,
    sK2134: ( fun(nat,real) * nat ) > nat ).

tff(func_def_3220,type,
    sK2135: fun(nat,real) > nat ).

tff(func_def_3221,type,
    sK2136: ( fun(nat,real) * real ) > nat ).

tff(func_def_3222,type,
    sK2137: ( fun(nat,real) * real ) > real ).

tff(func_def_3223,type,
    sK2138: 
      !>[X0: $tType] : ( ( fun(nat,X0) * X0 * real ) > nat ) ).

tff(func_def_3224,type,
    sK2139: 
      !>[X0: $tType] : ( ( fun(nat,X0) * X0 ) > real ) ).

tff(func_def_3225,type,
    sK2140: 
      !>[X0: $tType] : ( ( fun(nat,X0) * X0 * nat ) > nat ) ).

tff(func_def_3226,type,
    sK2141: 
      !>[X0: $tType] : ( ( fun(nat,X0) * X0 ) > real ) ).

tff(func_def_3227,type,
    sK2142: 
      !>[X0: $tType] : ( ( fun(nat,X0) * X0 * real ) > nat ) ).

tff(func_def_3228,type,
    sK2143: 
      !>[X0: $tType] : ( ( fun(nat,X0) * X0 * nat ) > nat ) ).

tff(func_def_3229,type,
    sK2144: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * X0 * X1 * set(X1) ) > fun(nat,X1) ) ).

tff(func_def_3230,type,
    sK2145: 
      !>[X0: $tType] : ( ( X0 * set(X0) * fun(nat,X0) ) > nat ) ).

tff(func_def_3231,type,
    sK2146: 
      !>[X0: $tType] : ( fun(nat,X0) > nat ) ).

tff(func_def_3232,type,
    sK2147: 
      !>[X0: $tType] : ( fun(nat,X0) > nat ) ).

tff(func_def_3233,type,
    sK2148: fun(nat,real) > nat ).

tff(func_def_3234,type,
    sK2149: fun(nat,real) > nat ).

tff(func_def_3235,type,
    sK2150: fun(nat,real) > nat ).

tff(func_def_3236,type,
    sK2151: fun(nat,real) > nat ).

tff(func_def_3237,type,
    sK2152: fun(nat,real) > nat ).

tff(func_def_3238,type,
    sK2153: fun(nat,real) > nat ).

tff(func_def_3239,type,
    sK2154: fun(nat,real) > nat ).

tff(func_def_3240,type,
    sK2155: fun(nat,real) > nat ).

tff(func_def_3241,type,
    sK2156: fun(nat,real) > real ).

tff(func_def_3242,type,
    sK2157: fun(nat,real) > nat ).

tff(func_def_3243,type,
    sK2158: fun(nat,real) > nat ).

tff(func_def_3244,type,
    sK2159: 
      !>[X0: $tType] : ( fun(X0,$o) > X0 ) ).

tff(func_def_3245,type,
    sK2160: 
      !>[X0: $tType] : ( ( fun(X0,$o) * X0 ) > X0 ) ).

tff(func_def_3246,type,
    sK2161: 
      !>[X0: $tType] : ( ( X0 * fun(X0,$o) ) > X0 ) ).

tff(func_def_3247,type,
    sK2162: 
      !>[X0: $tType] : ( fun(X0,$o) > X0 ) ).

tff(func_def_3248,type,
    sK2163: 
      !>[X0: $tType] : ( ( fun(X0,$o) * X0 ) > X0 ) ).

tff(func_def_3249,type,
    sK2164: ( nat * fun(nat,$o) ) > nat ).

tff(func_def_3250,type,
    sK2165: fun(nat,$o) > nat ).

tff(func_def_3251,type,
    sK2166: ( fun(nat,$o) * nat ) > nat ).

tff(func_def_3252,type,
    sK2167: 
      !>[X0: $tType] : ( fun(X0,$o) > X0 ) ).

tff(func_def_3253,type,
    sK2168: 
      !>[X0: $tType] : ( fun(X0,$o) > X0 ) ).

tff(func_def_3254,type,
    sK2169: 
      !>[X0: $tType] : ( fun(X0,$o) > X0 ) ).

tff(func_def_3255,type,
    sK2170: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,fun(X0,$o)) * filter(X1) ) > fun(X1,X0) ) ).

tff(func_def_3256,type,
    sK2171: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X1,fun(X0,$o)) * filter(X1) ) > X0 ) ).

tff(func_def_3257,type,
    sK2172: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X1,fun(X0,$o)) * filter(X1) ) > X0 ) ).

tff(func_def_3258,type,
    sK2173: filter(nat) > nat ).

tff(func_def_3259,type,
    sK2174: 
      !>[X0: $tType] : ( fun(X0,$o) > X0 ) ).

tff(func_def_3260,type,
    sK2175: 
      !>[X0: $tType] : ( ( fun(X0,$o) * X0 ) > X0 ) ).

tff(func_def_3261,type,
    sK2176: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,$o) * fun(X1,X0) ) > X1 ) ).

tff(func_def_3262,type,
    sK2177: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,$o) * fun(X1,X0) ) > X1 ) ).

tff(func_def_3263,type,
    sK2178: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * fun(X0,$o) * fun(X0,X1) ) > X0 ) ).

tff(func_def_3264,type,
    sK2179: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,$o) * fun(X0,$o) * fun(X0,X1) ) > X0 ) ).

tff(func_def_3265,type,
    sK2180: 
      !>[X0: $tType] : ( ( fun(X0,$o) * X0 ) > X0 ) ).

tff(func_def_3266,type,
    sK2181: 
      !>[X0: $tType] : ( ( fun(X0,$o) * X0 * X0 ) > X0 ) ).

tff(func_def_3267,type,
    sK2182: 
      !>[X0: $tType] : ( ( X0 * fun(X0,$o) ) > X0 ) ).

tff(func_def_3268,type,
    sK2183: 
      !>[X0: $tType] : ( ( X0 * fun(X0,$o) * X0 ) > X0 ) ).

tff(func_def_3269,type,
    sK2184: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * X0 * filter(X1) ) > X0 ) ).

tff(func_def_3270,type,
    sK2185: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * X0 * filter(X1) ) > X0 ) ).

tff(func_def_3271,type,
    sK2186: 
      !>[X0: $tType,X1: $tType] : ( ( X0 * fun(X1,X0) * filter(X1) ) > X0 ) ).

tff(func_def_3272,type,
    sK2187: 
      !>[X0: $tType,X1: $tType] : ( ( X0 * fun(X1,X0) * filter(X1) ) > X0 ) ).

tff(func_def_3273,type,
    sK2188: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * filter(X1) ) > X0 ) ).

tff(func_def_3274,type,
    sK2189: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * filter(X1) * X0 ) > X0 ) ).

tff(func_def_3275,type,
    sK2190: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * filter(X1) ) > X0 ) ).

tff(func_def_3276,type,
    sK2191: 
      !>[X0: $tType] : ( set(filter(X0)) > filter(X0) ) ).

tff(func_def_3277,type,
    sK2192: 
      !>[X0: $tType] : ( ( set(filter(X0)) * fun(X0,$o) ) > filter(X0) ) ).

tff(func_def_3278,type,
    sK2193: 
      !>[X0: $tType] : ( set(filter(X0)) > filter(X0) ) ).

tff(func_def_3279,type,
    sK2194: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X1,$o) * fun(X0,filter(X1)) ) > fun(X0,fun(X1,$o)) ) ).

tff(func_def_3280,type,
    sK2195: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X1,$o) * fun(X0,fun(X1,$o)) ) > X1 ) ).

tff(func_def_3281,type,
    sK2196: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,filter(X1)) * fun(X0,fun(X1,$o)) ) > X0 ) ).

tff(func_def_3282,type,
    sK2197: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X1,$o) * fun(X0,filter(X1)) * X1 ) > X0 ) ).

tff(func_def_3283,type,
    sK2198: 
      !>[X0: $tType] : ( ( X0 * X0 * fun(X0,$o) ) > X0 ) ).

tff(func_def_3284,type,
    sK2199: 
      !>[X0: $tType,X1: $tType] : ( ( X0 * fun(X1,X0) * filter(X1) ) > X0 ) ).

tff(func_def_3285,type,
    sK2200: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * X0 * filter(X1) ) > X0 ) ).

tff(func_def_3286,type,
    sK2201: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * filter(X1) * X0 ) > X0 ) ).

tff(func_def_3287,type,
    sK2202: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,$o) * fun(X1,filter(X0)) * set(X1) ) > set(X1) ) ).

tff(func_def_3288,type,
    sK2203: 
      !>[X0: $tType,X1: $tType] : ( fun(X1,X0) > real ) ).

tff(func_def_3289,type,
    sK2204: 
      !>[X0: $tType,X1: $tType] : ( fun(X1,X0) > X1 ) ).

tff(func_def_3290,type,
    sK2205: 
      !>[X0: $tType,X1: $tType] : ( fun(X1,X0) > X1 ) ).

tff(func_def_3291,type,
    sK2206: 
      !>[X0: $tType,X1: $tType] : ( fun(X1,X0) > real ) ).

tff(func_def_3292,type,
    sK2207: 
      !>[X0: $tType,X1: $tType] : ( fun(X1,X0) > X1 ) ).

tff(func_def_3293,type,
    sK2208: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * real ) > X1 ) ).

tff(func_def_3294,type,
    sK2209: 
      !>[X0: $tType] : ( ( fun(X0,$o) * set(filter(X0)) ) > set(filter(X0)) ) ).

tff(func_def_3295,type,
    sK2210: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,$o) * fun(X1,X0) ) > X1 ) ).

tff(func_def_3296,type,
    sK2211: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,$o) * fun(X1,X0) ) > X1 ) ).

tff(func_def_3297,type,
    sK2212: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * fun(X0,$o) * fun(X0,X1) ) > X0 ) ).

tff(func_def_3298,type,
    sK2213: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,$o) * fun(X0,$o) * fun(X0,X1) ) > X0 ) ).

tff(func_def_3299,type,
    sK2214: 
      !>[X0: $tType] : ( ( fun(X0,$o) * X0 ) > X0 ) ).

tff(func_def_3300,type,
    sK2216: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,filter(X0)) ) > X1 ) ).

tff(func_def_3301,type,
    sK2217: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,filter(X0)) * fun(X0,$o) ) > X1 ) ).

tff(func_def_3302,type,
    sK2218: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,filter(X0)) ) > X1 ) ).

tff(func_def_3303,type,
    sK2219: ( real * fun(real,real) ) > real ).

tff(func_def_3304,type,
    sK2220: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * fun(X1,X0) * X1 ) > fun(X1,X0) ) ).

tff(func_def_3305,type,
    sK2221: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * fun(X1,X0) * X1 * fun(X1,X0) ) > X1 ) ).

tff(func_def_3306,type,
    sK2222: 
      !>[X0: $tType] : ( fun(X0,$o) > real ) ).

tff(func_def_3307,type,
    sK2223: 
      !>[X0: $tType] : ( ( fun(X0,$o) * real ) > X0 ) ).

tff(func_def_3308,type,
    sK2224: 
      !>[X0: $tType,X1: $tType] : ( ( real * fun(X1,X0) * filter(X1) ) > real ) ).

tff(func_def_3309,type,
    sK2225: 
      !>[X0: $tType,X1: $tType] : ( ( X1 * set(X1) * fun(X1,X0) * fun(X1,X0) ) > fun(X1,X0) ) ).

tff(func_def_3310,type,
    sK2226: 
      !>[X0: $tType,X1: $tType] : ( ( X1 * set(X1) * fun(X1,X0) * fun(X1,X0) * fun(X1,X0) ) > X1 ) ).

tff(func_def_3311,type,
    sK2227: 
      !>[X0: $tType,X1: $tType] : ( ( real * fun(X1,X0) * set(X1) * X1 * fun(X1,X0) * fun(X1,real) ) > X1 ) ).

tff(func_def_3312,type,
    sK2228: 
      !>[X0: $tType] : ( set(set(X0)) > set(X0) ) ).

tff(func_def_3313,type,
    sK2229: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,set(X0)) ) > X1 ) ).

tff(func_def_3314,type,
    sK2230: 
      !>[X0: $tType] : ( ( X0 * X0 ) > set(X0) ) ).

tff(func_def_3315,type,
    sK2231: 
      !>[X0: $tType] : ( ( X0 * X0 ) > set(X0) ) ).

tff(func_def_3316,type,
    sK2232: 
      !>[X0: $tType] : ( ( X0 * X0 ) > set(X0) ) ).

tff(func_def_3317,type,
    sK2233: 
      !>[X0: $tType] : ( ( X0 * X0 ) > set(X0) ) ).

tff(func_def_3318,type,
    sK2234: 
      !>[X0: $tType] : ( X0 > fun(nat,set(X0)) ) ).

tff(func_def_3319,type,
    sK2235: 
      !>[X0: $tType] : ( ( X0 * set(X0) ) > nat ) ).

tff(func_def_3320,type,
    sK2236: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_3321,type,
    sK2237: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > set(X0) ) ).

tff(func_def_3322,type,
    sK2238: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_3323,type,
    sK2239: 
      !>[X0: $tType,X1: $tType] : ( fun(X1,fun(X0,$o)) > X1 ) ).

tff(func_def_3324,type,
    sK2240: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_3325,type,
    sK2241: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > real ) ).

tff(func_def_3326,type,
    sK2242: 
      !>[X0: $tType] : ( ( set(X0) * real ) > X0 ) ).

tff(func_def_3327,type,
    sK2243: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_3328,type,
    sK2244: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_3329,type,
    sK2245: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_3330,type,
    sK2246: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_3331,type,
    sK2247: 
      !>[X0: $tType] : ( fun(X0,$o) > X0 ) ).

tff(func_def_3332,type,
    sK2248: 
      !>[X0: $tType] : ( ( fun(X0,$o) * X0 ) > X0 ) ).

tff(func_def_3333,type,
    sK2249: 
      !>[X0: $tType] : ( fun(X0,$o) > X0 ) ).

tff(func_def_3334,type,
    sK2250: 
      !>[X0: $tType] : ( ( fun(X0,$o) * X0 ) > X0 ) ).

tff(func_def_3335,type,
    sK2251: 
      !>[X0: $tType] : ( X0 > fun(nat,set(X0)) ) ).

tff(func_def_3336,type,
    sK2252: 
      !>[X0: $tType] : ( ( fun(X0,$o) * X0 * set(X0) ) > real ) ).

tff(func_def_3337,type,
    sK2253: 
      !>[X0: $tType] : ( ( fun(X0,$o) * X0 * set(X0) * real ) > X0 ) ).

tff(func_def_3338,type,
    sK2254: 
      !>[X0: $tType] : ( ( fun(X0,$o) * X0 ) > real ) ).

tff(func_def_3339,type,
    sK2255: 
      !>[X0: $tType] : ( ( fun(X0,$o) * X0 * real ) > X0 ) ).

tff(func_def_3340,type,
    sK2256: 
      !>[X0: $tType] : ( ( fun(X0,X0) * X0 * set(X0) * real * fun(X0,X0) ) > X0 ) ).

tff(func_def_3341,type,
    sK2257: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * X1 * set(X1) * real * fun(X1,X0) ) > X1 ) ).

tff(func_def_3342,type,
    sK2258: 
      !>[X0: $tType] : ( fun(nat,X0) > real ) ).

tff(func_def_3343,type,
    sK2259: 
      !>[X0: $tType] : ( ( fun(nat,X0) * real ) > nat ) ).

tff(func_def_3344,type,
    sK2260: 
      !>[X0: $tType] : ( ( fun(nat,X0) * nat ) > nat ) ).

tff(func_def_3345,type,
    sK2261: 
      !>[X0: $tType] : ( ( fun(nat,X0) * nat ) > nat ) ).

tff(func_def_3346,type,
    sK2262: 
      !>[X0: $tType] : ( fun(nat,X0) > real ) ).

tff(func_def_3347,type,
    sK2263: 
      !>[X0: $tType] : ( ( fun(nat,X0) * real ) > nat ) ).

tff(func_def_3348,type,
    sK2264: 
      !>[X0: $tType] : ( ( fun(nat,X0) * nat ) > nat ) ).

tff(func_def_3349,type,
    sK2265: 
      !>[X0: $tType] : ( ( fun(nat,X0) * real ) > nat ) ).

tff(func_def_3350,type,
    sK2266: 
      !>[X0: $tType] : ( fun(nat,X0) > real ) ).

tff(func_def_3351,type,
    sK2267: 
      !>[X0: $tType] : ( ( fun(nat,X0) * nat ) > nat ) ).

tff(func_def_3352,type,
    sK2268: 
      !>[X0: $tType] : ( ( fun(nat,X0) * nat ) > nat ) ).

tff(func_def_3353,type,
    sK2269: 
      !>[X0: $tType] : ( ( fun(nat,X0) * X0 ) > set(X0) ) ).

tff(func_def_3354,type,
    sK2270: 
      !>[X0: $tType] : ( ( fun(nat,X0) * set(X0) ) > nat ) ).

tff(func_def_3355,type,
    sK2271: 
      !>[X0: $tType] : ( ( fun(nat,X0) * X0 * nat ) > nat ) ).

tff(func_def_3356,type,
    sK2272: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * X1 * set(X1) * real * fun(X1,X0) ) > X1 ) ).

tff(func_def_3357,type,
    sK2273: 
      !>[X0: $tType] : ( ( fun(X0,$o) * X0 * set(X0) ) > real ) ).

tff(func_def_3358,type,
    sK2274: 
      !>[X0: $tType] : ( ( fun(X0,$o) * X0 * set(X0) * real ) > X0 ) ).

tff(func_def_3359,type,
    sK2275: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * X1 * set(X1) * real * fun(X1,X0) ) > X1 ) ).

tff(func_def_3360,type,
    sK2276: 
      !>[X0: $tType] : ( fun(nat,X0) > real ) ).

tff(func_def_3361,type,
    sK2277: 
      !>[X0: $tType] : ( ( fun(nat,X0) * real ) > nat ) ).

tff(func_def_3362,type,
    sK2278: 
      !>[X0: $tType] : ( ( fun(nat,X0) * nat ) > nat ) ).

tff(func_def_3363,type,
    sK2279: 
      !>[X0: $tType] : ( ( fun(nat,X0) * nat ) > nat ) ).

tff(func_def_3364,type,
    sK2280: 
      !>[X0: $tType] : ( fun(nat,X0) > real ) ).

tff(func_def_3365,type,
    sK2281: 
      !>[X0: $tType] : ( ( fun(nat,X0) * nat ) > nat ) ).

tff(func_def_3366,type,
    sK2282: 
      !>[X0: $tType] : ( ( fun(nat,X0) * nat ) > nat ) ).

tff(func_def_3367,type,
    sK2283: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * X0 * filter(X1) ) > real ) ).

tff(func_def_3368,type,
    sK2284: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * X0 * filter(X1) ) > real ) ).

tff(func_def_3369,type,
    sK2285: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * filter(X1) * X0 ) > X0 ) ).

tff(func_def_3370,type,
    sK2286: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * filter(X1) ) > X0 ) ).

tff(func_def_3371,type,
    sK2287: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * filter(X1) ) > X0 ) ).

tff(func_def_3372,type,
    sK2288: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * X1 * real * fun(X1,X0) ) > X1 ) ).

tff(func_def_3373,type,
    sK2289: 
      !>[X0: $tType,X1: $tType] : ( ( X1 * fun(X1,X0) * X0 ) > real ) ).

tff(func_def_3374,type,
    sK2290: 
      !>[X0: $tType,X1: $tType] : ( ( X1 * fun(X1,X0) * X0 * real ) > X1 ) ).

tff(func_def_3375,type,
    sK2291: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * X0 * X1 * real ) > real ) ).

tff(func_def_3376,type,
    sK2292: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * X0 * X1 ) > real ) ).

tff(func_def_3377,type,
    sK2293: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * X0 * X1 * real ) > real ) ).

tff(func_def_3378,type,
    sK2294: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * X0 * X1 * real ) > X1 ) ).

tff(func_def_3379,type,
    sK2295: 
      !>[X0: $tType] : ( ( fun(nat,X0) * X0 * real ) > nat ) ).

tff(func_def_3380,type,
    sK2296: 
      !>[X0: $tType] : ( ( fun(nat,X0) * X0 ) > real ) ).

tff(func_def_3381,type,
    sK2297: 
      !>[X0: $tType] : ( ( fun(nat,X0) * X0 * nat ) > nat ) ).

tff(func_def_3382,type,
    sK2298: 
      !>[X0: $tType] : ( ( fun(nat,X0) * X0 ) > real ) ).

tff(func_def_3383,type,
    sK2299: 
      !>[X0: $tType] : ( ( fun(nat,X0) * X0 * real ) > nat ) ).

tff(func_def_3384,type,
    sK2300: 
      !>[X0: $tType] : ( ( fun(nat,X0) * X0 * nat ) > nat ) ).

tff(func_def_3385,type,
    sK2301: 
      !>[X0: $tType] : ( fun(nat,X0) > nat ) ).

tff(func_def_3386,type,
    sK2302: 
      !>[X0: $tType] : ( ( fun(nat,X0) * nat ) > nat ) ).

tff(func_def_3387,type,
    sK2303: 
      !>[X0: $tType] : ( ( fun(nat,X0) * nat ) > nat ) ).

tff(func_def_3388,type,
    sK2304: 
      !>[X0: $tType] : ( ( fun(nat,X0) * nat ) > nat ) ).

tff(func_def_3389,type,
    sK2305: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * X0 * X1 * real ) > X1 ) ).

tff(func_def_3390,type,
    sK2306: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * filter(X1) * X0 ) > X0 ) ).

tff(func_def_3391,type,
    sK2307: 
      !>[X0: $tType,X1: $tType] : ( ( X1 * fun(X1,X0) * real ) > X1 ) ).

tff(func_def_3392,type,
    sK2308: 
      !>[X0: $tType] : ( set(X0) > real ) ).

tff(func_def_3393,type,
    sK2309: 
      !>[X0: $tType] : ( ( set(X0) * real ) > set(X0) ) ).

tff(func_def_3394,type,
    sK2310: 
      !>[X0: $tType] : ( ( fun(nat,X0) * X0 ) > real ) ).

tff(func_def_3395,type,
    sK2311: 
      !>[X0: $tType] : ( ( fun(nat,X0) * X0 * real ) > nat ) ).

tff(func_def_3396,type,
    sK2312: 
      !>[X0: $tType] : ( ( fun(nat,X0) * X0 * nat ) > nat ) ).

tff(func_def_3397,type,
    sK2313: ( real * fun(real,real) ) > real ).

tff(func_def_3398,type,
    sK2314: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * filter(X1) ) > X0 ) ).

tff(func_def_3399,type,
    sK2315: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * filter(X1) ) > real ) ).

tff(func_def_3400,type,
    sK2316: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * filter(X1) ) > real ) ).

tff(func_def_3401,type,
    sK2317: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * filter(X1) ) > real ) ).

tff(func_def_3402,type,
    sK2318: 
      !>[X0: $tType] : ( fun(nat,X0) > real ) ).

tff(func_def_3403,type,
    sK2319: 
      !>[X0: $tType] : ( fun(nat,X0) > real ) ).

tff(func_def_3404,type,
    sK2320: 
      !>[X0: $tType] : ( ( real * fun(nat,X0) ) > nat ) ).

tff(func_def_3405,type,
    sK2321: 
      !>[X0: $tType] : ( fun(nat,X0) > real ) ).

tff(func_def_3406,type,
    sK2322: 
      !>[X0: $tType] : ( ( fun(nat,X0) * real ) > nat ) ).

tff(func_def_3407,type,
    sK2323: 
      !>[X0: $tType] : ( fun(nat,X0) > nat ) ).

tff(func_def_3408,type,
    sK2324: 
      !>[X0: $tType] : ( ( fun(nat,X0) * nat ) > nat ) ).

tff(func_def_3409,type,
    sK2325: 
      !>[X0: $tType] : ( fun(nat,X0) > nat ) ).

tff(func_def_3410,type,
    sK2326: 
      !>[X0: $tType] : ( ( fun(nat,X0) * nat ) > nat ) ).

tff(func_def_3411,type,
    sK2327: 
      !>[X0: $tType] : ( fun(nat,X0) > real ) ).

tff(func_def_3412,type,
    sK2328: 
      !>[X0: $tType] : ( fun(nat,X0) > X0 ) ).

tff(func_def_3413,type,
    sK2329: 
      !>[X0: $tType] : ( ( fun(nat,X0) * real * X0 ) > nat ) ).

tff(func_def_3414,type,
    sK2330: 
      !>[X0: $tType] : ( fun(nat,X0) > real ) ).

tff(func_def_3415,type,
    sK2331: 
      !>[X0: $tType] : ( fun(nat,X0) > nat ) ).

tff(func_def_3416,type,
    sK2332: 
      !>[X0: $tType] : ( ( fun(nat,X0) * real * nat ) > nat ) ).

tff(func_def_3417,type,
    sK2333: 
      !>[X0: $tType] : ( filter(X0) > real ) ).

tff(func_def_3418,type,
    sK2334: 
      !>[X0: $tType] : ( ( filter(X0) * real ) > fun(X0,$o) ) ).

tff(func_def_3419,type,
    sK2335: 
      !>[X0: $tType] : ( ( filter(X0) * fun(X0,$o) ) > X0 ) ).

tff(func_def_3420,type,
    sK2336: 
      !>[X0: $tType] : ( ( filter(X0) * fun(X0,$o) ) > X0 ) ).

tff(func_def_3421,type,
    sK2337: ( real * real * fun(real,real) ) > real ).

tff(func_def_3422,type,
    sK2338: ( real * real * fun(real,real) ) > real ).

tff(func_def_3423,type,
    sK2339: ( real * real * fun(real,real) ) > real ).

tff(func_def_3424,type,
    sK2340: ( real * real * fun(real,real) ) > real ).

tff(func_def_3425,type,
    sK2341: ( real * real * fun(real,real) * fun(real,real) ) > real ).

tff(func_def_3426,type,
    sK2342: ( real * real * fun(real,real) * fun(real,real) ) > real ).

tff(func_def_3427,type,
    sK2343: ( real * real * fun(real,real) * fun(real,real) ) > real ).

tff(func_def_3428,type,
    sK2347: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( set(X0) * fun(X0,fun(X2,X1)) * filter(X2) ) > X0 ) ).

tff(func_def_3429,type,
    sK2348: ( real * real * fun(real,real) ) > real ).

tff(func_def_3430,type,
    sK2349: ( real * real * fun(real,real) ) > real ).

tff(func_def_3431,type,
    sK2350: ( real * real * fun(real,real) ) > real ).

tff(func_def_3432,type,
    sK2351: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,$o) * fun(X1,X0) * X0 * set(X0) ) > set(X0) ) ).

tff(func_def_3433,type,
    sK2352: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,$o) * fun(X1,X0) * X0 * set(X0) * set(X0) ) > X1 ) ).

tff(func_def_3434,type,
    sK2353: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_3435,type,
    sK2354: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_3436,type,
    sK2355: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * X0 * X1 * X0 ) > X0 ) ).

tff(func_def_3437,type,
    sK2356: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * X0 * X1 * X0 ) > X0 ) ).

tff(func_def_3438,type,
    sK2357: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_3439,type,
    sK2358: 
      !>[X0: $tType,X1: $tType] : ( ( filter(X0) * fun(X1,X0) ) > fun(X0,$o) ) ).

tff(func_def_3440,type,
    sK2359: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * set(X1) ) > X1 ) ).

tff(func_def_3441,type,
    sK2360: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * set(X1) ) > X1 ) ).

tff(func_def_3442,type,
    sK2361: 
      !>[X0: $tType] : ( ( set(X0) * fun(X0,X0) ) > X0 ) ).

tff(func_def_3443,type,
    sK2362: 
      !>[X0: $tType] : ( ( set(X0) * fun(X0,real) * fun(X0,real) ) > set(X0) ) ).

tff(func_def_3444,type,
    sK2363: 
      !>[X0: $tType] : ( ( set(X0) * fun(X0,X0) ) > X0 ) ).

tff(func_def_3445,type,
    sK2364: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_3446,type,
    sK2365: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,$o) * fun(X1,X0) ) > X0 ) ).

tff(func_def_3447,type,
    sK2366: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,$o) * fun(X1,X0) * X0 ) > X1 ) ).

tff(func_def_3448,type,
    sK2367: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,$o) * fun(X1,X0) ) > X0 ) ).

tff(func_def_3449,type,
    sK2368: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,$o) * fun(X1,X0) * X0 ) > X1 ) ).

tff(func_def_3450,type,
    sK2369: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,$o) * fun(X1,X0) ) > X0 ) ).

tff(func_def_3451,type,
    sK2370: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,$o) * fun(X1,X0) * X0 ) > X1 ) ).

tff(func_def_3452,type,
    sK2371: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,$o) * fun(X1,X0) ) > X0 ) ).

tff(func_def_3453,type,
    sK2372: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,$o) * fun(X1,X0) * X0 ) > X1 ) ).

tff(func_def_3454,type,
    sK2373: 
      !>[X0: $tType] : ( ( set(X0) * fun(X0,real) ) > set(X0) ) ).

tff(func_def_3455,type,
    sK2374: 
      !>[X0: $tType] : ( ( set(X0) * fun(X0,real) * fun(X0,real) ) > X0 ) ).

tff(func_def_3456,type,
    sK2375: 
      !>[X0: $tType] : ( ( set(X0) * fun(X0,real) ) > X0 ) ).

tff(func_def_3457,type,
    sK2376: 
      !>[X0: $tType] : ( ( set(X0) * fun(X0,real) ) > X0 ) ).

tff(func_def_3458,type,
    sK2377: 
      !>[X0: $tType] : ( ( set(X0) * fun(X0,real) ) > X0 ) ).

tff(func_def_3459,type,
    sK2378: 
      !>[X0: $tType] : ( ( X0 * X0 * fun(X0,X0) ) > X0 ) ).

tff(func_def_3460,type,
    sK2379: ( real * real * fun(real,real) * fun(real,fun(real,real)) ) > real ).

tff(func_def_3461,type,
    sK2380: ( real * real * fun(real,fun(real,real)) ) > real ).

tff(func_def_3462,type,
    sK2381: ( real * real * fun(real,real) * fun(real,fun(real,real)) ) > real ).

tff(func_def_3463,type,
    sK2382: ( real * real * fun(real,real) * fun(real,fun(real,real)) ) > real ).

tff(func_def_3464,type,
    sK2383: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,set(X1)) ) > X0 ) ).

tff(func_def_3465,type,
    sK2384: 
      !>[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_3466,type,
    sK2385: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,set(X1)) ) > X0 ) ).

tff(func_def_3467,type,
    sK2386: 
      !>[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_3468,type,
    sK2387: 
      !>[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_3469,type,
    sK2388: ( real * real * fun(real,real) ) > real ).

tff(func_def_3470,type,
    sK2389: ( real * real * fun(real,real) ) > real ).

tff(func_def_3471,type,
    sK2390: ( real * real * fun(real,real) ) > real ).

tff(func_def_3472,type,
    sK2391: ( real * real * fun(real,real) ) > real ).

tff(func_def_3473,type,
    sK2392: ( real * real * fun(real,real) ) > real ).

tff(func_def_3474,type,
    sK2393: ( real * real * fun(real,real) ) > real ).

tff(func_def_3475,type,
    sK2394: 
      !>[X0: $tType] : ( set(X0) > filter(X0) ) ).

tff(func_def_3476,type,
    sK2395: 
      !>[X0: $tType] : ( ( set(X0) * filter(X0) ) > X0 ) ).

tff(func_def_3477,type,
    sK2396: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * X1 * X1 ) > X1 ) ).

tff(func_def_3478,type,
    sK2397: 
      !>[X0: $tType] : ( ( X0 * fun(X0,$o) ) > X0 ) ).

tff(func_def_3479,type,
    sK2398: 
      !>[X0: $tType] : ( ( X0 * fun(X0,$o) * X0 ) > X0 ) ).

tff(func_def_3480,type,
    sK2399: 
      !>[X0: $tType] : ( ( fun(X0,$o) * X0 ) > X0 ) ).

tff(func_def_3481,type,
    sK2400: 
      !>[X0: $tType] : ( ( fun(X0,$o) * X0 * X0 ) > X0 ) ).

tff(func_def_3482,type,
    sK2401: 
      !>[X0: $tType] : ( ( X0 * X0 ) > X0 ) ).

tff(func_def_3483,type,
    sK2402: 
      !>[X0: $tType] : ( ( X0 * X0 ) > X0 ) ).

tff(func_def_3484,type,
    sK2403: 
      !>[X0: $tType] : ( ( X0 * X0 * fun(X0,$o) ) > X0 ) ).

tff(func_def_3485,type,
    sK2404: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,$o) * fun(X1,X0) ) > X1 ) ).

tff(func_def_3486,type,
    sK2405: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,$o) * fun(X1,X0) ) > X1 ) ).

tff(func_def_3487,type,
    sK2406: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * fun(X0,$o) * fun(X0,X1) ) > X0 ) ).

tff(func_def_3488,type,
    sK2407: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,$o) * fun(X0,$o) * fun(X0,X1) ) > X0 ) ).

tff(func_def_3489,type,
    sK2408: 
      !>[X0: $tType] : ( ( fun(X0,$o) * X0 ) > X0 ) ).

tff(func_def_3490,type,
    sK2410: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_3491,type,
    sK2411: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_3492,type,
    sK2412: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_3493,type,
    sK2413: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_3494,type,
    sK2414: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_3495,type,
    sK2415: 
      !>[X0: $tType] : ( ( X0 * X0 * fun(X0,$o) ) > fun(nat,X0) ) ).

tff(func_def_3496,type,
    sK2416: 
      !>[X0: $tType,X1: $tType] : ( ( X1 * X1 * fun(X1,X0) * X0 ) > fun(nat,X1) ) ).

tff(func_def_3497,type,
    sK2417: 
      !>[X0: $tType,X1: $tType] : ( fun(X1,X0) > X1 ) ).

tff(func_def_3498,type,
    sK2418: 
      !>[X0: $tType,X1: $tType] : ( fun(X1,X0) > X1 ) ).

tff(func_def_3499,type,
    sK2419: 
      !>[X0: $tType,X1: $tType] : ( fun(X1,X0) > X1 ) ).

tff(func_def_3500,type,
    sK2420: 
      !>[X0: $tType,X1: $tType] : ( fun(X1,X0) > X1 ) ).

tff(func_def_3501,type,
    sK2421: 
      !>[X0: $tType] : ( fun(nat,X0) > nat ) ).

tff(func_def_3502,type,
    sK2422: 
      !>[X0: $tType] : ( fun(nat,X0) > nat ) ).

tff(func_def_3503,type,
    sK2423: 
      !>[X0: $tType] : ( fun(nat,X0) > nat ) ).

tff(func_def_3504,type,
    sK2424: 
      !>[X0: $tType] : ( fun(nat,X0) > nat ) ).

tff(func_def_3505,type,
    sK2425: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_3506,type,
    sK2426: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_3507,type,
    sK2427: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_3508,type,
    sK2428: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,set(X0)) ) > X1 ) ).

tff(func_def_3509,type,
    sK2429: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,X0) * X0 ) > X1 ) ).

tff(func_def_3510,type,
    sK2430: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_3511,type,
    sK2431: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_3512,type,
    sK2432: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_3513,type,
    sK2433: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_3514,type,
    sK2434: 
      !>[X0: $tType] : ( ( set(X0) * set(X0) ) > X0 ) ).

tff(func_def_3515,type,
    sK2435: 
      !>[X0: $tType] : ( ( set(X0) * set(X0) ) > X0 ) ).

tff(func_def_3516,type,
    sK2436: 
      !>[X0: $tType] : ( ( set(X0) * set(X0) ) > X0 ) ).

tff(func_def_3517,type,
    sK2437: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_3518,type,
    sK2438: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_3519,type,
    sK2439: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_3520,type,
    sK2440: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_3521,type,
    sK2441: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_3522,type,
    sK2442: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_3523,type,
    sK2443: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_3524,type,
    sK2444: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_3525,type,
    sK2445: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( set(X0) * fun(X2,X1) * set(X2) * fun(X0,X1) ) > X0 ) ).

tff(func_def_3526,type,
    sK2446: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,X1) * X1 ) > X0 ) ).

tff(func_def_3527,type,
    sK2447: 
      !>[X0: $tType] : ( fun(X0,X0) > X0 ) ).

tff(func_def_3528,type,
    sK2448: 
      !>[X0: $tType] : ( fun(X0,X0) > X0 ) ).

tff(func_def_3529,type,
    sK2449: 
      !>[X0: $tType] : X0 ).

tff(func_def_3530,type,
    sK2450: 
      !>[X0: $tType] : X0 ).

tff(func_def_3531,type,
    sK2451: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,X0) * X0 ) > X1 ) ).

tff(func_def_3532,type,
    sK2452: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,X0) * fun(X1,X0) ) > X1 ) ).

tff(func_def_3533,type,
    sK2453: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,set(X0)) ) > X1 ) ).

tff(func_def_3534,type,
    sK2454: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_3535,type,
    sK2455: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_3536,type,
    sK2456: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,set(X0)) ) > X1 ) ).

tff(func_def_3537,type,
    sK2457: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_3538,type,
    sK2458: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_3539,type,
    sK2459: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_3540,type,
    sK2460: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * X0 * fun(X1,X0) ) > X1 ) ).

tff(func_def_3541,type,
    sK2461: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * X0 * fun(X1,X0) ) > X1 ) ).

tff(func_def_3542,type,
    sK2462: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_3543,type,
    sK2463: 
      !>[X0: $tType] : ( ( set(X0) * set(X0) ) > X0 ) ).

tff(func_def_3544,type,
    sK2464: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_3545,type,
    sK2465: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,X0) * X0 ) > X1 ) ).

tff(func_def_3546,type,
    sK2466: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( set(X2) * fun(X0,X1) * set(X0) * fun(X2,X1) ) > X2 ) ).

tff(func_def_3547,type,
    sK2467: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,X1) * X1 ) > X0 ) ).

tff(func_def_3548,type,
    sK2468: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_3549,type,
    sK2469: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,set(X0)) ) > X1 ) ).

tff(func_def_3550,type,
    sK2470: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,set(X0)) ) > X1 ) ).

tff(func_def_3551,type,
    sK2471: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * set(X1) * fun(X1,set(X0)) ) > set(X1) ) ).

tff(func_def_3552,type,
    sK2472: 
      !>[X0: $tType] : ( fun(product_prod(X0,X0),$o) > fun(product_prod(X0,X0),$o) ) ).

tff(func_def_3553,type,
    sK2473: 
      !>[X0: $tType] : ( fun(product_prod(X0,X0),$o) > fun(product_prod(X0,X0),$o) ) ).

tff(func_def_3554,type,
    sK2474: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_3555,type,
    sK2475: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_3556,type,
    sK2476: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_3557,type,
    sK2477: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_3558,type,
    sK2478: 
      !>[X0: $tType] : ( fun(nat,X0) > fun(product_prod(X0,X0),$o) ) ).

tff(func_def_3559,type,
    sK2479: 
      !>[X0: $tType] : ( ( fun(nat,X0) * fun(product_prod(X0,X0),$o) ) > nat ) ).

tff(func_def_3560,type,
    sK2480: 
      !>[X0: $tType] : ( ( fun(nat,X0) * nat ) > nat ) ).

tff(func_def_3561,type,
    sK2481: 
      !>[X0: $tType] : ( ( fun(nat,X0) * nat ) > nat ) ).

tff(func_def_3562,type,
    sK2482: 
      !>[X0: $tType] : ( set(X0) > fun(product_prod(X0,X0),$o) ) ).

tff(func_def_3563,type,
    sK2483: 
      !>[X0: $tType] : ( ( set(X0) * fun(product_prod(X0,X0),$o) ) > set(X0) ) ).

tff(func_def_3564,type,
    sK2484: 
      !>[X0: $tType] : ( ( set(X0) * set(X0) ) > X0 ) ).

tff(func_def_3565,type,
    sK2485: 
      !>[X0: $tType] : ( ( set(X0) * fun(product_prod(X0,X0),$o) * X0 ) > X0 ) ).

tff(func_def_3566,type,
    sK2486: 
      !>[X0: $tType] : ( fun(product_prod(X0,X0),$o) > real ) ).

tff(func_def_3567,type,
    sK2487: 
      !>[X0: $tType] : ( ( fun(product_prod(X0,X0),$o) * real ) > X0 ) ).

tff(func_def_3568,type,
    sK2488: 
      !>[X0: $tType] : ( ( fun(product_prod(X0,X0),$o) * real ) > X0 ) ).

tff(func_def_3569,type,
    sK2489: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * X0 * filter(X1) ) > fun(product_prod(X0,X0),$o) ) ).

tff(func_def_3570,type,
    sK2490: 
      !>[X0: $tType] : ( set(set(X0)) > set(X0) ) ).

tff(func_def_3571,type,
    sK2491: 
      !>[X0: $tType] : ( ( set(X0) * set(set(X0)) ) > set(set(X0)) ) ).

tff(func_def_3572,type,
    sK2492: 
      !>[X0: $tType] : ( set(X0) > set(set(X0)) ) ).

tff(func_def_3573,type,
    sK2493: 
      !>[X0: $tType] : ( set(X0) > set(set(X0)) ) ).

tff(func_def_3574,type,
    sK2494: 
      !>[X0: $tType] : ( set(set(X0)) > set(X0) ) ).

tff(func_def_3575,type,
    sK2495: 
      !>[X0: $tType] : ( ( set(X0) * set(set(X0)) ) > set(set(X0)) ) ).

tff(func_def_3576,type,
    sK2496: 
      !>[X0: $tType] : ( ( fun(product_prod(X0,X0),$o) * filter(X0) ) > fun(X0,$o) ) ).

tff(func_def_3577,type,
    sK2497: 
      !>[X0: $tType] : ( ( fun(product_prod(X0,X0),$o) * fun(X0,$o) ) > X0 ) ).

tff(func_def_3578,type,
    sK2498: 
      !>[X0: $tType] : ( ( fun(product_prod(X0,X0),$o) * fun(X0,$o) ) > X0 ) ).

tff(func_def_3579,type,
    sK2499: 
      !>[X0: $tType,X1: $tType] : ( ( fun(product_prod(X0,X1),$o) * filter(X0) * filter(X1) ) > fun(X0,$o) ) ).

tff(func_def_3580,type,
    sK2500: 
      !>[X0: $tType,X1: $tType] : ( ( fun(product_prod(X0,X1),$o) * filter(X0) * filter(X1) ) > fun(X1,$o) ) ).

tff(func_def_3581,type,
    sK2501: 
      !>[X0: $tType,X1: $tType] : ( ( fun(product_prod(X0,X1),$o) * fun(X0,$o) * fun(X1,$o) ) > X0 ) ).

tff(func_def_3582,type,
    sK2502: 
      !>[X0: $tType,X1: $tType] : ( ( fun(product_prod(X0,X1),$o) * fun(X0,$o) * fun(X1,$o) ) > X1 ) ).

tff(func_def_3583,type,
    sK2503: fun(product_prod(nat,nat),$o) > nat ).

tff(func_def_3584,type,
    sK2504: ( fun(product_prod(nat,nat),$o) * nat ) > nat ).

tff(func_def_3585,type,
    sK2505: ( fun(product_prod(nat,nat),$o) * nat ) > nat ).

tff(func_def_3586,type,
    sK2506: 
      !>[X0: $tType] : ( ( X0 * X0 * fun(X0,$o) ) > fun(nat,X0) ) ).

tff(func_def_3587,type,
    sK2507: 
      !>[X0: $tType] : ( ( X0 * X0 * nat * set(product_prod(X0,X0)) ) > X0 ) ).

tff(func_def_3588,type,
    sK2508: 
      !>[X0: $tType] : ( ( X0 * X0 * nat * set(product_prod(X0,X0)) ) > X0 ) ).

tff(func_def_3589,type,
    sK2509: 
      !>[X0: $tType] : ( ( X0 * X0 * nat * set(product_prod(X0,X0)) ) > X0 ) ).

tff(func_def_3590,type,
    sK2510: 
      !>[X0: $tType] : ( fun(nat,X0) > nat ) ).

tff(func_def_3591,type,
    sK2511: 
      !>[X0: $tType] : ( fun(nat,X0) > nat ) ).

tff(func_def_3592,type,
    sK2512: 
      !>[X0: $tType,X1: $tType] : ( fun(X1,X0) > X1 ) ).

tff(func_def_3593,type,
    sK2513: 
      !>[X0: $tType,X1: $tType] : ( fun(X1,X0) > X1 ) ).

tff(func_def_3594,type,
    sK2514: 
      !>[X0: $tType,X1: $tType] : ( fun(X1,X0) > X1 ) ).

tff(func_def_3595,type,
    sK2515: 
      !>[X0: $tType,X1: $tType] : ( fun(X1,X0) > X1 ) ).

tff(func_def_3596,type,
    sK2516: 
      !>[X0: $tType] : ( fun(nat,X0) > nat ) ).

tff(func_def_3597,type,
    sK2517: 
      !>[X0: $tType] : ( fun(nat,X0) > nat ) ).

tff(func_def_3598,type,
    sK2518: 
      !>[X0: $tType] : ( ( nat * set(product_prod(X0,X0)) * X0 * X0 ) > X0 ) ).

tff(func_def_3599,type,
    sK2519: 
      !>[X0: $tType] : ( ( X0 * X0 * nat * set(product_prod(X0,X0)) ) > X0 ) ).

tff(func_def_3600,type,
    sK2520: 
      !>[X0: $tType] : ( ( X0 * X0 * nat * set(product_prod(X0,X0)) ) > nat ) ).

tff(func_def_3601,type,
    sK2521: 
      !>[X0: $tType] : ( ( X0 * X0 * nat * set(product_prod(X0,X0)) ) > X0 ) ).

tff(func_def_3602,type,
    sK2522: 
      !>[X0: $tType] : ( ( X0 * X0 * nat * set(product_prod(X0,X0)) ) > nat ) ).

tff(func_def_3603,type,
    sK2523: 
      !>[X0: $tType] : ( ( X0 * X0 * nat * set(product_prod(X0,X0)) ) > fun(nat,X0) ) ).

tff(func_def_3604,type,
    sK2524: 
      !>[X0: $tType] : ( ( nat * set(product_prod(X0,X0)) * fun(nat,X0) ) > nat ) ).

tff(func_def_3605,type,
    sK2525: 
      !>[X0: $tType] : ( fun(nat,X0) > nat ) ).

tff(func_def_3606,type,
    sK2526: 
      !>[X0: $tType] : ( fun(nat,X0) > nat ) ).

tff(func_def_3607,type,
    sK2527: 
      !>[X0: $tType,X1: $tType] : ( ( X1 * X1 * fun(X1,X0) * X0 ) > fun(nat,X1) ) ).

tff(func_def_3608,type,
    sK2528: 
      !>[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_3609,type,
    sK2529: 
      !>[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_3610,type,
    sK2530: 
      !>[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_3611,type,
    sK2531: 
      !>[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_3612,type,
    sK2532: 
      !>[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_3613,type,
    sK2533: 
      !>[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_3614,type,
    sK2534: 
      !>[X0: $tType] : ( ( X0 * set(product_prod(X0,X0)) * fun(X0,$o) ) > X0 ) ).

tff(func_def_3615,type,
    sK2535: 
      !>[X0: $tType] : ( ( X0 * set(product_prod(X0,X0)) * fun(X0,$o) ) > X0 ) ).

tff(func_def_3616,type,
    sK2536: 
      !>[X0: $tType] : ( ( X0 * set(product_prod(X0,X0)) * fun(X0,$o) ) > X0 ) ).

tff(func_def_3617,type,
    sK2537: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * fun(X0,fun(X0,$o)) ) > X0 ) ).

tff(func_def_3618,type,
    sK2538: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * fun(X0,fun(X0,$o)) ) > X0 ) ).

tff(func_def_3619,type,
    sK2539: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * fun(X0,fun(X0,$o)) ) > X0 ) ).

tff(func_def_3620,type,
    sK2540: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * fun(X0,fun(X0,$o)) ) > X0 ) ).

tff(func_def_3621,type,
    sK2541: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * fun(X0,fun(X0,$o)) ) > X0 ) ).

tff(func_def_3622,type,
    sK2542: 
      !>[X0: $tType] : ( set(product_prod(X0,X0)) > X0 ) ).

tff(func_def_3623,type,
    sK2543: 
      !>[X0: $tType] : ( ( X0 * X0 * set(product_prod(X0,X0)) ) > X0 ) ).

tff(func_def_3624,type,
    sK2544: 
      !>[X0: $tType] : ( ( X0 * set(product_prod(X0,X0)) * fun(X0,$o) ) > X0 ) ).

tff(func_def_3625,type,
    sK2545: 
      !>[X0: $tType] : ( ( X0 * set(product_prod(X0,X0)) * fun(X0,$o) ) > X0 ) ).

tff(func_def_3626,type,
    sK2546: 
      !>[X0: $tType] : ( ( X0 * set(product_prod(X0,X0)) * fun(X0,$o) ) > X0 ) ).

tff(func_def_3627,type,
    sK2547: 
      !>[X0: $tType] : ( ( X0 * X0 * set(product_prod(X0,X0)) ) > X0 ) ).

tff(func_def_3628,type,
    sK2548: 
      !>[X0: $tType] : ( ( X0 * X0 * set(product_prod(X0,X0)) ) > X0 ) ).

tff(func_def_3629,type,
    sK2549: 
      !>[X0: $tType] : ( ( X0 * X0 * set(product_prod(X0,X0)) ) > X0 ) ).

tff(func_def_3630,type,
    sK2550: 
      !>[X0: $tType] : ( ( X0 * X0 * set(product_prod(X0,X0)) ) > X0 ) ).

tff(func_def_3631,type,
    sK2551: 
      !>[X0: $tType] : ( ( X0 * X0 * set(product_prod(X0,X0)) ) > X0 ) ).

tff(func_def_3632,type,
    sK2552: 
      !>[X0: $tType] : ( ( X0 * X0 * set(product_prod(X0,X0)) ) > X0 ) ).

tff(func_def_3633,type,
    sK2553: 
      !>[X0: $tType] : ( ( X0 * X0 * set(product_prod(X0,X0)) ) > X0 ) ).

tff(func_def_3634,type,
    sK2554: 
      !>[X0: $tType] : ( ( product_prod(X0,X0) * set(product_prod(X0,X0)) ) > nat ) ).

tff(func_def_3635,type,
    sK2555: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) ) > fun(nat,nat) ) ).

tff(func_def_3636,type,
    sK2556: 
      !>[X0: $tType] : ( ( list(X0) * fun(nat,nat) ) > nat ) ).

tff(func_def_3637,type,
    sK2557: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) * fun(nat,nat) ) > nat ) ).

tff(func_def_3638,type,
    sK2558: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * filter(X0) ) > real ) ).

tff(func_def_3639,type,
    sK2559: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * filter(X0) * real ) > fun(X0,$o) ) ).

tff(func_def_3640,type,
    sK2560: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * filter(X0) * fun(X0,$o) ) > X0 ) ).

tff(func_def_3641,type,
    sK2561: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * filter(X0) * fun(X0,$o) ) > X0 ) ).

tff(func_def_3642,type,
    sK2562: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,set(X1)) ) > X0 ) ).

tff(func_def_3643,type,
    sK2563: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * set(X0) * fun(X0,set(X1)) ) > set(X0) ) ).

tff(func_def_3644,type,
    sK2564: 
      !>[X0: $tType] : ( set(set(X0)) > set(X0) ) ).

tff(func_def_3645,type,
    sK2565: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,set(X0)) ) > X1 ) ).

tff(func_def_3646,type,
    sK2566: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_3647,type,
    sK2567: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,set(X1)) ) > X0 ) ).

tff(func_def_3648,type,
    sK2568: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( set(X0) * fun(X0,set(X2)) * fun(X2,X1) ) > X0 ) ).

tff(func_def_3649,type,
    sK2569: 
      !>[X0: $tType] : ( set(set(X0)) > set(X0) ) ).

tff(func_def_3650,type,
    sK2570: 
      !>[X0: $tType] : ( ( set(X0) * set(set(X0)) ) > set(set(X0)) ) ).

tff(func_def_3651,type,
    sK2571: 
      !>[X0: $tType] : ( set(X0) > set(set(X0)) ) ).

tff(func_def_3652,type,
    sK2572: 
      !>[X0: $tType] : ( set(set(X0)) > set(X0) ) ).

tff(func_def_3653,type,
    sK2573: 
      !>[X0: $tType] : ( ( set(X0) * set(set(X0)) ) > set(set(X0)) ) ).

tff(func_def_3654,type,
    sK2574: 
      !>[X0: $tType,X1: $tType] : ( ( set(set(X1)) * fun(X1,X0) ) > set(X1) ) ).

tff(func_def_3655,type,
    sK2575: 
      !>[X0: $tType,X1: $tType] : ( fun(X1,X0) > X1 ) ).

tff(func_def_3656,type,
    sK2576: 
      !>[X0: $tType,X1: $tType] : ( fun(X1,X0) > X1 ) ).

tff(func_def_3657,type,
    sK2577: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_3658,type,
    sK2578: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_3659,type,
    sK2579: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_3660,type,
    sK2580: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_3661,type,
    sK2581: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X1,X0) * set(X1) ) > set(X1) ) ).

tff(func_def_3662,type,
    sK2582: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * set(X0) ) > fun(X1,X0) ) ).

tff(func_def_3663,type,
    sK2583: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * set(X0) ) > fun(X0,X1) ) ).

tff(func_def_3664,type,
    sK2584: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,set(X0)) ) > X1 ) ).

tff(func_def_3665,type,
    sK2585: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,set(X0)) ) > X1 ) ).

tff(func_def_3666,type,
    sK2586: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( set(X2) * fun(X2,set(X1)) * fun(X1,X0) ) > X2 ) ).

tff(func_def_3667,type,
    sK2587: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( set(X2) * fun(X1,X0) * fun(X2,set(X1)) ) > X2 ) ).

tff(func_def_3668,type,
    sK2588: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * set(X0) * fun(X1,X0) ) > X0 ) ).

tff(func_def_3669,type,
    sK2589: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,X0) * X0 ) > X1 ) ).

tff(func_def_3670,type,
    sK2590: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * set(X1) * fun(X1,set(X0)) ) > X1 ) ).

tff(func_def_3671,type,
    sK2591: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * set(X0) ) > fun(X1,X0) ) ).

tff(func_def_3672,type,
    sK2592: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * set(X1) ) > fun(X0,X1) ) ).

tff(func_def_3673,type,
    sK2593: 
      !>[X0: $tType] : ( ( fun(X0,X0) * X0 ) > nat ) ).

tff(func_def_3674,type,
    sK2594: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * set(X1) * fun(set(X0),$o) ) > set(X0) ) ).

tff(func_def_3675,type,
    sK2595: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * set(X1) * fun(set(X0),$o) ) > set(X1) ) ).

tff(func_def_3676,type,
    sK2596: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * set(X1) * fun(set(X0),$o) ) > set(X0) ) ).

tff(func_def_3677,type,
    sK2597: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * set(X1) * fun(set(X0),$o) ) > set(X1) ) ).

tff(func_def_3678,type,
    sK2598: ( set(nat) * nat ) > nat ).

tff(func_def_3679,type,
    sK2599: 
      !>[X0: $tType] : ( set(X0) > nat ) ).

tff(func_def_3680,type,
    sK2600: 
      !>[X0: $tType] : ( set(X0) > fun(nat,X0) ) ).

tff(func_def_3681,type,
    sK2601: 
      !>[X0: $tType] : ( set(X0) > fun(X0,nat) ) ).

tff(func_def_3682,type,
    sK2602: 
      !>[X0: $tType] : ( set(X0) > nat ) ).

tff(func_def_3683,type,
    sK2603: 
      !>[X0: $tType] : ( ( list(X0) * set(nat) ) > nat ) ).

tff(func_def_3684,type,
    sK2604: 
      !>[X0: $tType] : ( set(X0) > fun(nat,X0) ) ).

tff(func_def_3685,type,
    sK2605: 
      !>[X0: $tType] : ( set(X0) > fun(nat,X0) ) ).

tff(func_def_3686,type,
    sK2606: 
      !>[X0: $tType] : ( ( nat * fun(X0,X0) * X0 ) > nat ) ).

tff(func_def_3687,type,
    sK2607: 
      !>[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_3688,type,
    sK2608: 
      !>[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_3689,type,
    sK2609: 
      !>[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_3690,type,
    sK2610: 
      !>[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_3691,type,
    sK2611: 
      !>[X0: $tType,X1: $tType] : ( ( X1 * X0 * X1 * X0 * set(product_prod(product_prod(X1,X0),product_prod(X1,X0))) ) > X1 ) ).

tff(func_def_3692,type,
    sK2612: 
      !>[X0: $tType,X1: $tType] : ( ( X1 * X0 * X1 * X0 * set(product_prod(product_prod(X1,X0),product_prod(X1,X0))) ) > X0 ) ).

tff(func_def_3693,type,
    sK2613: 
      !>[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_3694,type,
    sK2614: 
      !>[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_3695,type,
    sK2615: 
      !>[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_3696,type,
    sK2616: 
      !>[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_3697,type,
    sK2617: 
      !>[X0: $tType] : ( ( X0 * set(product_prod(X0,X0)) * fun(X0,$o) ) > X0 ) ).

tff(func_def_3698,type,
    sK2618: 
      !>[X0: $tType] : ( ( X0 * set(product_prod(X0,X0)) * fun(X0,$o) ) > X0 ) ).

tff(func_def_3699,type,
    sK2619: 
      !>[X0: $tType] : ( ( X0 * X0 * set(product_prod(X0,X0)) ) > X0 ) ).

tff(func_def_3700,type,
    sK2620: 
      !>[X0: $tType] : ( ( X0 * set(product_prod(X0,X0)) * fun(X0,$o) ) > X0 ) ).

tff(func_def_3701,type,
    sK2621: 
      !>[X0: $tType] : ( ( X0 * set(product_prod(X0,X0)) * fun(X0,$o) ) > X0 ) ).

tff(func_def_3702,type,
    sK2622: 
      !>[X0: $tType] : ( ( X0 * X0 * set(product_prod(X0,X0)) ) > X0 ) ).

tff(func_def_3703,type,
    sK2623: 
      !>[X0: $tType] : ( ( X0 * X0 * set(product_prod(X0,X0)) ) > X0 ) ).

tff(func_def_3704,type,
    sK2624: 
      !>[X0: $tType] : ( ( X0 * X0 * set(product_prod(X0,X0)) ) > X0 ) ).

tff(func_def_3705,type,
    sK2625: 
      !>[X0: $tType] : ( ( X0 * X0 * set(product_prod(X0,X0)) ) > X0 ) ).

tff(func_def_3706,type,
    sK2626: 
      !>[X0: $tType] : ( ( X0 * X0 ) > X0 ) ).

tff(func_def_3707,type,
    sK2627: 
      !>[X0: $tType] : ( ( X0 * X0 * set(product_prod(X0,X0)) ) > X0 ) ).

tff(func_def_3708,type,
    sK2628: 
      !>[X0: $tType] : ( ( X0 * X0 * set(product_prod(X0,X0)) ) > X0 ) ).

tff(func_def_3709,type,
    sK2629: 
      !>[X0: $tType] : ( ( X0 * X0 * set(product_prod(X0,X0)) ) > X0 ) ).

tff(func_def_3710,type,
    sK2630: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,X1) ) > real ) ).

tff(func_def_3711,type,
    sK2631: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,X1) * real ) > real ) ).

tff(func_def_3712,type,
    sK2632: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,X1) * real ) > X0 ) ).

tff(func_def_3713,type,
    sK2633: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,X1) * real ) > X0 ) ).

tff(func_def_3714,type,
    sK2634: 
      !>[X0: $tType,X1: $tType] : ( fun(X0,X1) > real ) ).

tff(func_def_3715,type,
    sK2635: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * real ) > real ) ).

tff(func_def_3716,type,
    sK2636: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * real ) > X0 ) ).

tff(func_def_3717,type,
    sK2637: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * real ) > X0 ) ).

tff(func_def_3718,type,
    sK2638: 
      !>[X0: $tType,X1: $tType] : ( ( list(X1) * fun(X1,list(X0)) * fun(X1,list(X0)) ) > X1 ) ).

tff(func_def_3719,type,
    sK2639: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,X1) ) > X0 ) ).

tff(func_def_3720,type,
    sK2640: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,X1) ) > X0 ) ).

tff(func_def_3721,type,
    sK2641: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,X1) ) > X0 ) ).

tff(func_def_3722,type,
    sK2642: 
      !>[X0: $tType] : ( fun(X0,$o) > int ) ).

tff(func_def_3723,type,
    sK2643: 
      !>[X0: $tType] : ( X0 > int ) ).

tff(func_def_3724,type,
    sK2644: 
      !>[X0: $tType] : ( ( X0 * set(product_prod(X0,X0)) * set(product_prod(X0,X0)) ) > X0 ) ).

tff(func_def_3725,type,
    sK2645: 
      !>[X0: $tType] : ( ( X0 * set(product_prod(X0,X0)) * set(product_prod(X0,X0)) ) > X0 ) ).

tff(func_def_3726,type,
    sK2646: 
      !>[X0: $tType] : ( ( X0 * set(product_prod(X0,X0)) * set(product_prod(X0,X0)) ) > X0 ) ).

tff(func_def_3727,type,
    sK2647: 
      !>[X0: $tType] : ( ( X0 * set(product_prod(X0,X0)) * set(product_prod(X0,X0)) ) > X0 ) ).

tff(func_def_3728,type,
    sK2648: 
      !>[X0: $tType] : ( ( set(X0) * set(X0) * fun(X0,$o) ) > X0 ) ).

tff(func_def_3729,type,
    sK2649: 
      !>[X0: $tType] : ( ( set(X0) * fun(X0,$o) ) > X0 ) ).

tff(func_def_3730,type,
    sK2650: 
      !>[X0: $tType] : ( ( set(X0) * fun(X0,$o) ) > X0 ) ).

tff(func_def_3731,type,
    sK2651: 
      !>[X0: $tType] : ( ( set(X0) * set(X0) * fun(X0,$o) ) > X0 ) ).

tff(func_def_3732,type,
    sK2652: 
      !>[X0: $tType] : ( ( set(X0) * fun(X0,$o) ) > X0 ) ).

tff(func_def_3733,type,
    sK2653: 
      !>[X0: $tType] : ( ( set(X0) * fun(X0,$o) ) > X0 ) ).

tff(func_def_3734,type,
    sK2654: 
      !>[X0: $tType] : ( ( set(X0) * set(X0) * set(X0) ) > set(X0) ) ).

tff(func_def_3735,type,
    sK2655: 
      !>[X0: $tType] : ( ( set(X0) * set(X0) * set(X0) ) > set(X0) ) ).

tff(func_def_3736,type,
    sK2656: 
      !>[X0: $tType] : ( fun(X0,fun(X0,X0)) > X0 ) ).

tff(func_def_3737,type,
    sK2657: 
      !>[X0: $tType] : ( fun(X0,fun(X0,X0)) > X0 ) ).

tff(func_def_3738,type,
    sK2658: 
      !>[X0: $tType] : ( fun(X0,fun(X0,X0)) > X0 ) ).

tff(func_def_3739,type,
    sK2659: 
      !>[X0: $tType] : ( fun(X0,fun(X0,X0)) > X0 ) ).

tff(func_def_3740,type,
    sK2660: 
      !>[X0: $tType] : ( fun(X0,fun(X0,X0)) > X0 ) ).

tff(func_def_3741,type,
    sK2661: 
      !>[X0: $tType] : ( fun(X0,fun(X0,X0)) > X0 ) ).

tff(func_def_3742,type,
    sK2662: 
      !>[X0: $tType] : ( fun(X0,fun(X0,X0)) > X0 ) ).

tff(func_def_3743,type,
    sK2663: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_3744,type,
    sK2664: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_3745,type,
    sK2665: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_3746,type,
    sK2666: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_3747,type,
    sK2667: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_3748,type,
    sK2668: 
      !>[X0: $tType] : ( ( set(X0) * fun(X0,$o) ) > X0 ) ).

tff(func_def_3749,type,
    sK2669: 
      !>[X0: $tType] : ( ( set(X0) * set(product_prod(X0,X0)) * X0 ) > X0 ) ).

tff(func_def_3750,type,
    sK2670: 
      !>[X0: $tType] : ( ( set(X0) * set(X0) * set(product_prod(X0,X0)) ) > X0 ) ).

tff(func_def_3751,type,
    sK2671: 
      !>[X0: $tType] : ( ( set(X0) * set(product_prod(X0,X0)) * X0 ) > X0 ) ).

tff(func_def_3752,type,
    sK2672: 
      !>[X0: $tType] : ( ( set(X0) * set(X0) * set(product_prod(X0,X0)) ) > X0 ) ).

tff(func_def_3753,type,
    sK2673: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_3754,type,
    sK2674: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_3755,type,
    sK2675: 
      !>[X0: $tType] : ( fun(X0,X0) > X0 ) ).

tff(func_def_3756,type,
    sK2676: 
      !>[X0: $tType] : ( fun(X0,X0) > X0 ) ).

tff(func_def_3757,type,
    sK2677: 
      !>[X0: $tType] : X0 ).

tff(func_def_3758,type,
    sK2678: 
      !>[X0: $tType] : X0 ).

tff(func_def_3759,type,
    sK2679: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_3760,type,
    sK2680: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_3761,type,
    sK2681: 
      !>[X0: $tType] : ( fun(X0,X0) > X0 ) ).

tff(func_def_3762,type,
    sK2682: 
      !>[X0: $tType] : ( fun(X0,X0) > X0 ) ).

tff(func_def_3763,type,
    sK2683: 
      !>[X0: $tType] : X0 ).

tff(func_def_3764,type,
    sK2684: 
      !>[X0: $tType] : X0 ).

tff(func_def_3765,type,
    sK2685: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_3766,type,
    sK2686: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_3767,type,
    sK2687: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( X0 * X1 * set(product_prod(X0,X2)) * set(product_prod(X2,X1)) ) > X2 ) ).

tff(func_def_3768,type,
    sK2688: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( X0 * X1 * set(product_prod(X0,X2)) * set(product_prod(X2,X1)) ) > X0 ) ).

tff(func_def_3769,type,
    sK2689: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( X0 * X1 * set(product_prod(X0,X2)) * set(product_prod(X2,X1)) ) > X2 ) ).

tff(func_def_3770,type,
    sK2690: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( X0 * X1 * set(product_prod(X0,X2)) * set(product_prod(X2,X1)) ) > X1 ) ).

tff(func_def_3771,type,
    sK2691: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( product_prod(X0,X1) * set(product_prod(X0,X2)) * set(product_prod(X2,X1)) ) > X0 ) ).

tff(func_def_3772,type,
    sK2692: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( product_prod(X0,X1) * set(product_prod(X0,X2)) * set(product_prod(X2,X1)) ) > X2 ) ).

tff(func_def_3773,type,
    sK2693: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( product_prod(X0,X1) * set(product_prod(X0,X2)) * set(product_prod(X2,X1)) ) > X1 ) ).

tff(func_def_3774,type,
    sK2694: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( X0 * X1 * set(product_prod(X0,X2)) * set(product_prod(X2,X1)) ) > X2 ) ).

tff(func_def_3775,type,
    sK2695: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_3776,type,
    sK2696: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_3777,type,
    sK2697: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_3778,type,
    sK2698: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_3779,type,
    sK2699: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_3780,type,
    sK2700: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_3781,type,
    sK2701: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_3782,type,
    sK2702: 
      !>[X0: $tType] : ( fun(X0,X0) > X0 ) ).

tff(func_def_3783,type,
    sK2703: 
      !>[X0: $tType] : ( fun(X0,X0) > X0 ) ).

tff(func_def_3784,type,
    sK2704: 
      !>[X0: $tType] : X0 ).

tff(func_def_3785,type,
    sK2705: 
      !>[X0: $tType] : X0 ).

tff(func_def_3786,type,
    sK2706: 
      !>[X0: $tType,X1: $tType] : ( ( X0 * fun(fun(X1,X0),$o) ) > X1 ) ).

tff(func_def_3787,type,
    sK2707: 
      !>[X0: $tType,X1: $tType] : ( ( X0 * fun(fun(X1,X0),$o) ) > X0 ) ).

tff(func_def_3788,type,
    sK2708: 
      !>[X0: $tType,X1: $tType] : ( ( X0 * fun(fun(X1,X0),$o) ) > fun(X1,X0) ) ).

tff(func_def_3789,type,
    sK2709: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,fun(X0,X0)) * fun(X1,fun(X0,X0)) * set(X1) ) > X1 ) ).

tff(func_def_3790,type,
    sK2710: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,option(X1)) * X0 * X1 ) > X0 ) ).

tff(func_def_3791,type,
    sK2711: 
      !>[X0: $tType,X1: $tType] : ( ( X1 * fun(X0,option(X1)) * set(X0) ) > X0 ) ).

tff(func_def_3792,type,
    sK2712: 
      !>[X0: $tType,X1: $tType] : ( fun(X0,option(X1)) > X0 ) ).

tff(func_def_3793,type,
    sK2713: 
      !>[X0: $tType,X1: $tType] : ( ( X0 * fun(X0,option(X1)) ) > X1 ) ).

tff(func_def_3794,type,
    sK2714: 
      !>[X0: $tType,X1: $tType] : ( ( list(X1) * fun(X0,fun(X1,X0)) * fun(X0,fun(X1,X0)) ) > X0 ) ).

tff(func_def_3795,type,
    sK2715: 
      !>[X0: $tType,X1: $tType] : ( ( list(X1) * fun(X0,fun(X1,X0)) * fun(X0,fun(X1,X0)) ) > X1 ) ).

tff(func_def_3796,type,
    sK2716: 
      !>[X0: $tType,X1: $tType] : ( fun(X0,option(X1)) > X0 ) ).

tff(func_def_3797,type,
    sK2717: 
      !>[X0: $tType,X1: $tType] : ( fun(fun(X1,option(X0)),$o) > X1 ) ).

tff(func_def_3798,type,
    sK2718: 
      !>[X0: $tType,X1: $tType] : ( fun(fun(X1,option(X0)),$o) > X0 ) ).

tff(func_def_3799,type,
    sK2719: 
      !>[X0: $tType,X1: $tType] : ( fun(fun(X1,option(X0)),$o) > fun(X1,option(X0)) ) ).

tff(func_def_3800,type,
    sK2720: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,option(X1)) * X0 ) > X1 ) ).

tff(func_def_3801,type,
    sK2721: ( fun(real,real) * fun(real,real) ) > real ).

tff(func_def_3802,type,
    sK2722: fun(real,real) > real ).

tff(func_def_3803,type,
    sK2723: 
      !>[X0: $tType] : ( ( set(X0) * fun(set(X0),$o) ) > set(X0) ) ).

tff(func_def_3804,type,
    sK2724: 
      !>[X0: $tType,X1: $tType] : ( fun(X1,X0) > X1 ) ).

tff(func_def_3805,type,
    sK2725: 
      !>[X0: $tType,X1: $tType] : ( fun(X1,X0) > X1 ) ).

tff(func_def_3806,type,
    sK2726: 
      !>[X0: $tType,X1: $tType] : ( fun(X1,X0) > X1 ) ).

tff(func_def_3807,type,
    sK2727: 
      !>[X0: $tType,X1: $tType] : ( fun(X1,X0) > X1 ) ).

tff(func_def_3808,type,
    sK2728: 
      !>[X0: $tType] : ( ( fun(set(X0),$o) * set(X0) ) > set(X0) ) ).

tff(func_def_3809,type,
    sK2729: 
      !>[X0: $tType] : ( ( fun(set(X0),$o) * set(X0) * set(X0) ) > set(X0) ) ).

tff(func_def_3810,type,
    sK2730: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,set(X0)) * set(X0) * filter(X1) ) > set(X0) ) ).

tff(func_def_3811,type,
    sK2731: set(nat) > fun(nat,nat) ).

tff(func_def_3812,type,
    sK2732: 
      !>[X0: $tType] : ( fun(nat,X0) > nat ) ).

tff(func_def_3813,type,
    sK2733: 
      !>[X0: $tType] : ( ( fun(nat,nat) * fun(nat,X0) ) > nat ) ).

tff(func_def_3814,type,
    sK2734: 
      !>[X0: $tType] : ( ( fun(nat,nat) * fun(nat,X0) ) > nat ) ).

tff(func_def_3815,type,
    sK2735: 
      !>[X0: $tType] : ( ( fun(nat,nat) * fun(nat,X0) ) > nat ) ).

tff(func_def_3816,type,
    sK2736: 
      !>[X0: $tType] : ( fun(nat,X0) > nat ) ).

tff(func_def_3817,type,
    sK2737: 
      !>[X0: $tType] : ( fun(nat,X0) > nat ) ).

tff(func_def_3818,type,
    sK2738: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) ) > nat ) ).

tff(func_def_3819,type,
    sK2739: 
      !>[X0: $tType,X1: $tType] : ( ( list(X0) * list(X1) * fun(list(product_prod(X0,X1)),$o) ) > list(X0) ) ).

tff(func_def_3820,type,
    sK2740: 
      !>[X0: $tType,X1: $tType] : ( ( list(X0) * list(X1) * fun(list(product_prod(X0,X1)),$o) ) > list(X1) ) ).

tff(func_def_3821,type,
    sK2741: 
      !>[X0: $tType,X1: $tType] : ( ( list(X0) * list(X1) * fun(list(product_prod(X0,X1)),$o) ) > nat ) ).

tff(func_def_3822,type,
    sK2742: 
      !>[X0: $tType] : ( ( nat * list(X0) * list(X0) ) > nat ) ).

tff(func_def_3823,type,
    sK2743: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) * set(product_prod(X0,X0)) ) > nat ) ).

tff(func_def_3824,type,
    sK2744: 
      !>[X0: $tType] : ( set(product_prod(X0,X0)) > X0 ) ).

tff(func_def_3825,type,
    sK2745: 
      !>[X0: $tType] : ( set(product_prod(X0,X0)) > X0 ) ).

tff(func_def_3826,type,
    sK2746: 
      !>[X0: $tType] : ( set(product_prod(X0,X0)) > X0 ) ).

tff(func_def_3827,type,
    sK2747: 
      !>[X0: $tType] : ( ( list(X0) * set(product_prod(X0,X0)) ) > X0 ) ).

tff(func_def_3828,type,
    sK2748: 
      !>[X0: $tType] : ( ( list(X0) * set(product_prod(X0,X0)) ) > X0 ) ).

tff(func_def_3829,type,
    sK2749: 
      !>[X0: $tType] : ( ( list(X0) * set(product_prod(X0,X0)) ) > X0 ) ).

tff(func_def_3830,type,
    sK2750: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) * set(product_prod(X0,X0)) ) > nat ) ).

tff(func_def_3831,type,
    sK2751: 
      !>[X0: $tType] : ( product_prod(X0,X0) > X0 ) ).

tff(func_def_3832,type,
    sK2752: 
      !>[X0: $tType,X1: $tType] : ( list(product_prod(X1,X0)) > X1 ) ).

tff(func_def_3833,type,
    sK2753: 
      !>[X0: $tType] : ( set(product_prod(X0,X0)) > X0 ) ).

tff(func_def_3834,type,
    sK2754: 
      !>[X0: $tType,X1: $tType] : ( ( X0 * list(product_prod(X0,X1)) ) > X1 ) ).

tff(func_def_3835,type,
    sK2755: 
      !>[X0: $tType,X1: $tType] : ( ( list(X0) * list(X1) * X0 ) > X1 ) ).

tff(func_def_3836,type,
    sK2756: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * list(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_3837,type,
    sK2757: 
      !>[X0: $tType,X1: $tType] : ( ( list(X1) * fun(X1,X0) * fun(X1,X0) ) > X1 ) ).

tff(func_def_3838,type,
    sK2758: 
      !>[X0: $tType,X1: $tType] : ( ( list(X1) * fun(X1,X0) * fun(X1,X0) ) > X1 ) ).

tff(func_def_3839,type,
    sK2759: 
      !>[X0: $tType,X1: $tType] : ( ( list(X1) * list(X1) * fun(X1,X0) * fun(X1,X0) ) > X1 ) ).

tff(func_def_3840,type,
    sK2760: 
      !>[X0: $tType,X1: $tType] : ( ( list(X1) * list(X1) * fun(X1,X0) * fun(X1,X0) ) > X1 ) ).

tff(func_def_3841,type,
    sK2761: 
      !>[X0: $tType,X1: $tType] : ( ( list(X1) * fun(X1,X0) * fun(X1,X0) ) > X1 ) ).

tff(func_def_3842,type,
    sK2762: 
      !>[X0: $tType] : ( ( list(X0) * fun(X0,X0) ) > X0 ) ).

tff(func_def_3843,type,
    sK2763: 
      !>[X0: $tType,X1: $tType] : ( ( list(X1) * fun(X1,X0) * fun(X1,X0) ) > X1 ) ).

tff(func_def_3844,type,
    sK2764: 
      !>[X0: $tType,X1: $tType] : ( ( list(X0) * fun(X1,X0) ) > list(X1) ) ).

tff(func_def_3845,type,
    sK2765: 
      !>[X0: $tType,X1: $tType] : ( ( list(X0) * fun(X1,X0) ) > X0 ) ).

tff(func_def_3846,type,
    sK2766: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * X0 ) > X1 ) ).

tff(func_def_3847,type,
    sK2767: 
      !>[X0: $tType,X1: $tType] : ( ( list(product_prod(X1,X0)) * list(product_prod(X1,X0)) ) > X1 ) ).

tff(func_def_3848,type,
    sK2768: 
      !>[X0: $tType] : ( list(X0) > X0 ) ).

tff(func_def_3849,type,
    sK2769: 
      !>[X0: $tType] : ( list(X0) > list(X0) ) ).

tff(func_def_3850,type,
    sK2770: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * list(X0) * X1 * list(X1) ) > X0 ) ).

tff(func_def_3851,type,
    sK2771: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * list(X0) * X1 * list(X1) ) > list(X0) ) ).

tff(func_def_3852,type,
    sK2772: 
      !>[X0: $tType,X1: $tType] : ( ( X0 * list(X0) * fun(X1,X0) * list(X1) ) > X1 ) ).

tff(func_def_3853,type,
    sK2773: 
      !>[X0: $tType,X1: $tType] : ( ( X0 * list(X0) * fun(X1,X0) * list(X1) ) > list(X1) ) ).

tff(func_def_3854,type,
    sK2774: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * list(X0) * X1 * list(X1) ) > X0 ) ).

tff(func_def_3855,type,
    sK2775: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * list(X0) * X1 * list(X1) ) > list(X0) ) ).

tff(func_def_3856,type,
    sK2776: 
      !>[X0: $tType,X1: $tType] : ( ( X0 * list(X0) * fun(X1,X0) * list(X1) ) > X1 ) ).

tff(func_def_3857,type,
    sK2777: 
      !>[X0: $tType,X1: $tType] : ( ( X0 * list(X0) * fun(X1,X0) * list(X1) ) > list(X1) ) ).

tff(func_def_3858,type,
    sK2778: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) * list(X0) ) > X0 ) ).

tff(func_def_3859,type,
    sK2779: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) * list(X0) ) > list(X0) ) ).

tff(func_def_3860,type,
    sK2780: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) * list(X0) ) > X0 ) ).

tff(func_def_3861,type,
    sK2781: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) * list(X0) ) > list(X0) ) ).

tff(func_def_3862,type,
    sK2782: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) * list(X0) ) > X0 ) ).

tff(func_def_3863,type,
    sK2783: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) * list(X0) ) > list(X0) ) ).

tff(func_def_3864,type,
    sK2784: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) * list(X0) ) > X0 ) ).

tff(func_def_3865,type,
    sK2785: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) * list(X0) ) > list(X0) ) ).

tff(func_def_3866,type,
    sK2787: 
      !>[X0: $tType] : ( ( list(X0) * nat ) > X0 ) ).

tff(func_def_3867,type,
    sK2788: 
      !>[X0: $tType] : ( ( list(X0) * nat ) > list(X0) ) ).

tff(func_def_3868,type,
    sK2789: 
      !>[X0: $tType] : ( ( nat * list(X0) ) > X0 ) ).

tff(func_def_3869,type,
    sK2790: 
      !>[X0: $tType] : ( ( nat * list(X0) ) > list(X0) ) ).

tff(func_def_3870,type,
    sK2791: 
      !>[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_3871,type,
    sK2792: 
      !>[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_3872,type,
    sK2793: 
      !>[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_3873,type,
    sK2794: 
      !>[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_3874,type,
    sK2795: 
      !>[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_3875,type,
    sK2796: 
      !>[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_3876,type,
    sK2797: 
      !>[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_3877,type,
    sK2798: 
      !>[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_3878,type,
    sK2799: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( fun(list(X1),fun(list(X0),fun(list(X2),$o))) > X1 ) ).

tff(func_def_3879,type,
    sK2800: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( fun(list(X1),fun(list(X0),fun(list(X2),$o))) > list(X1) ) ).

tff(func_def_3880,type,
    sK2801: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( fun(list(X1),fun(list(X0),fun(list(X2),$o))) > X0 ) ).

tff(func_def_3881,type,
    sK2802: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( fun(list(X1),fun(list(X0),fun(list(X2),$o))) > list(X0) ) ).

tff(func_def_3882,type,
    sK2803: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( fun(list(X1),fun(list(X0),fun(list(X2),$o))) > X2 ) ).

tff(func_def_3883,type,
    sK2804: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( fun(list(X1),fun(list(X0),fun(list(X2),$o))) > list(X2) ) ).

tff(func_def_3884,type,
    sK2805: 
      !>[X0: $tType,X1: $tType] : ( fun(list(X0),fun(list(X1),$o)) > X0 ) ).

tff(func_def_3885,type,
    sK2806: 
      !>[X0: $tType,X1: $tType] : ( fun(list(X0),fun(list(X1),$o)) > list(X0) ) ).

tff(func_def_3886,type,
    sK2807: 
      !>[X0: $tType,X1: $tType] : ( fun(list(X0),fun(list(X1),$o)) > X1 ) ).

tff(func_def_3887,type,
    sK2808: 
      !>[X0: $tType,X1: $tType] : ( fun(list(X0),fun(list(X1),$o)) > list(X1) ) ).

tff(func_def_3888,type,
    sK2809: 
      !>[X0: $tType] : ( ( X0 * list(X0) ) > list(X0) ) ).

tff(func_def_3889,type,
    sK2810: 
      !>[X0: $tType] : ( ( X0 * list(X0) ) > X0 ) ).

tff(func_def_3890,type,
    sK2811: 
      !>[X0: $tType] : ( ( X0 * list(X0) ) > list(X0) ) ).

tff(func_def_3891,type,
    sK2812: 
      !>[X0: $tType] : ( fun(list(X0),$o) > X0 ) ).

tff(func_def_3892,type,
    sK2813: 
      !>[X0: $tType] : ( fun(list(X0),$o) > X0 ) ).

tff(func_def_3893,type,
    sK2814: 
      !>[X0: $tType] : ( fun(list(X0),$o) > list(X0) ) ).

tff(func_def_3894,type,
    sK2815: 
      !>[X0: $tType,X1: $tType] : ( fun(list(X0),fun(list(X1),$o)) > X0 ) ).

tff(func_def_3895,type,
    sK2816: 
      !>[X0: $tType,X1: $tType] : ( fun(list(X0),fun(list(X1),$o)) > list(X0) ) ).

tff(func_def_3896,type,
    sK2817: 
      !>[X0: $tType,X1: $tType] : ( fun(list(X0),fun(list(X1),$o)) > X1 ) ).

tff(func_def_3897,type,
    sK2818: 
      !>[X0: $tType,X1: $tType] : ( fun(list(X0),fun(list(X1),$o)) > list(X1) ) ).

tff(func_def_3898,type,
    sK2819: 
      !>[X0: $tType,X1: $tType] : ( fun(list(X0),fun(list(X1),$o)) > X0 ) ).

tff(func_def_3899,type,
    sK2820: 
      !>[X0: $tType,X1: $tType] : ( fun(list(X0),fun(list(X1),$o)) > list(X0) ) ).

tff(func_def_3900,type,
    sK2821: 
      !>[X0: $tType,X1: $tType] : ( fun(list(X0),fun(list(X1),$o)) > X1 ) ).

tff(func_def_3901,type,
    sK2822: 
      !>[X0: $tType,X1: $tType] : ( fun(list(X0),fun(list(X1),$o)) > list(X1) ) ).

tff(func_def_3902,type,
    sK2823: 
      !>[X0: $tType] : ( list(X0) > X0 ) ).

tff(func_def_3903,type,
    sK2824: 
      !>[X0: $tType] : ( list(X0) > list(X0) ) ).

tff(func_def_3904,type,
    sK2825: 
      !>[X0: $tType] : ( list(X0) > X0 ) ).

tff(func_def_3905,type,
    sK2826: 
      !>[X0: $tType] : ( list(X0) > X0 ) ).

tff(func_def_3906,type,
    sK2827: 
      !>[X0: $tType] : ( list(X0) > X0 ) ).

tff(func_def_3907,type,
    sK2828: 
      !>[X0: $tType] : ( list(X0) > list(X0) ) ).

tff(func_def_3908,type,
    sK2829: 
      !>[X0: $tType] : ( list(list(X0)) > list(list(X0)) ) ).

tff(func_def_3909,type,
    sK2830: 
      !>[X0: $tType] : ( list(list(X0)) > X0 ) ).

tff(func_def_3910,type,
    sK2831: 
      !>[X0: $tType] : ( list(list(X0)) > list(X0) ) ).

tff(func_def_3911,type,
    sK2832: 
      !>[X0: $tType] : ( list(list(X0)) > list(list(X0)) ) ).

tff(func_def_3912,type,
    sK2833: 
      !>[X0: $tType] : ( list(X0) > X0 ) ).

tff(func_def_3913,type,
    sK2834: 
      !>[X0: $tType] : ( list(X0) > list(X0) ) ).

tff(func_def_3914,type,
    sK2835: 
      !>[X0: $tType] : ( list(X0) > X0 ) ).

tff(func_def_3915,type,
    sK2836: 
      !>[X0: $tType] : ( list(X0) > list(X0) ) ).

tff(func_def_3916,type,
    sK2837: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) ) > X0 ) ).

tff(func_def_3917,type,
    sK2838: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) ) > X0 ) ).

tff(func_def_3918,type,
    sK2839: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) ) > X0 ) ).

tff(func_def_3919,type,
    sK2840: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) ) > list(X0) ) ).

tff(func_def_3920,type,
    sK2841: 
      !>[X0: $tType,X1: $tType] : ( ( list(X0) * list(X1) * product_prod(X0,X1) * list(product_prod(X0,X1)) ) > X0 ) ).

tff(func_def_3921,type,
    sK2842: 
      !>[X0: $tType,X1: $tType] : ( ( list(X0) * list(X1) * product_prod(X0,X1) * list(product_prod(X0,X1)) ) > list(X0) ) ).

tff(func_def_3922,type,
    sK2843: 
      !>[X0: $tType,X1: $tType] : ( ( list(X0) * list(X1) * product_prod(X0,X1) * list(product_prod(X0,X1)) ) > X1 ) ).

tff(func_def_3923,type,
    sK2844: 
      !>[X0: $tType,X1: $tType] : ( ( list(X0) * list(X1) * product_prod(X0,X1) * list(product_prod(X0,X1)) ) > list(X1) ) ).

tff(func_def_3924,type,
    sK2845: 
      !>[X0: $tType] : ( product_prod(fun(X0,fun(X0,$o)),list(X0)) > fun(X0,fun(X0,$o)) ) ).

tff(func_def_3925,type,
    sK2846: 
      !>[X0: $tType] : ( product_prod(fun(X0,fun(X0,$o)),list(X0)) > fun(X0,fun(X0,$o)) ) ).

tff(func_def_3926,type,
    sK2847: 
      !>[X0: $tType] : ( product_prod(fun(X0,fun(X0,$o)),list(X0)) > X0 ) ).

tff(func_def_3927,type,
    sK2848: 
      !>[X0: $tType] : ( product_prod(fun(X0,fun(X0,$o)),list(X0)) > fun(X0,fun(X0,$o)) ) ).

tff(func_def_3928,type,
    sK2849: 
      !>[X0: $tType] : ( product_prod(fun(X0,fun(X0,$o)),list(X0)) > X0 ) ).

tff(func_def_3929,type,
    sK2850: 
      !>[X0: $tType] : ( product_prod(fun(X0,fun(X0,$o)),list(X0)) > X0 ) ).

tff(func_def_3930,type,
    sK2851: 
      !>[X0: $tType] : ( product_prod(fun(X0,fun(X0,$o)),list(X0)) > list(X0) ) ).

tff(func_def_3931,type,
    sK2852: 
      !>[X0: $tType,X1: $tType] : ( product_prod(fun(X1,X0),list(X1)) > fun(X1,X0) ) ).

tff(func_def_3932,type,
    sK2853: 
      !>[X0: $tType,X1: $tType] : ( product_prod(fun(X1,X0),list(X1)) > X1 ) ).

tff(func_def_3933,type,
    sK2854: 
      !>[X0: $tType,X1: $tType] : ( product_prod(fun(X1,X0),list(X1)) > fun(X1,X0) ) ).

tff(func_def_3934,type,
    sK2855: 
      !>[X0: $tType,X1: $tType] : ( product_prod(fun(X1,X0),list(X1)) > X1 ) ).

tff(func_def_3935,type,
    sK2856: 
      !>[X0: $tType,X1: $tType] : ( product_prod(fun(X1,X0),list(X1)) > X1 ) ).

tff(func_def_3936,type,
    sK2857: 
      !>[X0: $tType,X1: $tType] : ( product_prod(fun(X1,X0),list(X1)) > list(X1) ) ).

tff(func_def_3937,type,
    sK2858: 
      !>[X0: $tType,X1: $tType] : ( product_prod(fun(X1,X0),list(X1)) > fun(X1,X0) ) ).

tff(func_def_3938,type,
    sK2859: 
      !>[X0: $tType] : ( product_prod(fun(X0,fun(X0,$o)),list(X0)) > fun(X0,fun(X0,$o)) ) ).

tff(func_def_3939,type,
    sK2860: 
      !>[X0: $tType] : ( product_prod(fun(X0,fun(X0,$o)),list(X0)) > fun(X0,fun(X0,$o)) ) ).

tff(func_def_3940,type,
    sK2861: 
      !>[X0: $tType] : ( product_prod(fun(X0,fun(X0,$o)),list(X0)) > X0 ) ).

tff(func_def_3941,type,
    sK2862: 
      !>[X0: $tType] : ( product_prod(fun(X0,fun(X0,$o)),list(X0)) > list(X0) ) ).

tff(func_def_3942,type,
    sK2863: 
      !>[X0: $tType] : ( product_prod(list(X0),list(X0)) > list(X0) ) ).

tff(func_def_3943,type,
    sK2864: 
      !>[X0: $tType] : ( product_prod(list(X0),list(X0)) > X0 ) ).

tff(func_def_3944,type,
    sK2865: 
      !>[X0: $tType] : ( product_prod(list(X0),list(X0)) > list(X0) ) ).

tff(func_def_3945,type,
    sK2866: 
      !>[X0: $tType] : ( product_prod(list(X0),list(X0)) > list(X0) ) ).

tff(func_def_3946,type,
    sK2867: 
      !>[X0: $tType] : ( product_prod(list(X0),list(X0)) > list(X0) ) ).

tff(func_def_3947,type,
    sK2868: 
      !>[X0: $tType] : ( product_prod(list(X0),list(X0)) > list(X0) ) ).

tff(func_def_3948,type,
    sK2869: 
      !>[X0: $tType] : ( product_prod(list(X0),list(X0)) > X0 ) ).

tff(func_def_3949,type,
    sK2870: 
      !>[X0: $tType] : ( product_prod(list(X0),list(X0)) > list(X0) ) ).

tff(func_def_3950,type,
    sK2871: 
      !>[X0: $tType] : ( product_prod(list(X0),list(X0)) > X0 ) ).

tff(func_def_3951,type,
    sK2872: 
      !>[X0: $tType] : ( product_prod(list(X0),list(X0)) > list(X0) ) ).

tff(func_def_3952,type,
    sK2873: 
      !>[X0: $tType,X1: $tType] : ( product_prod(fun(X0,X1),product_prod(list(X0),list(X1))) > fun(X0,X1) ) ).

tff(func_def_3953,type,
    sK2874: 
      !>[X0: $tType,X1: $tType] : ( product_prod(fun(X0,X1),product_prod(list(X0),list(X1))) > list(X1) ) ).

tff(func_def_3954,type,
    sK2875: 
      !>[X0: $tType,X1: $tType] : ( product_prod(fun(X0,X1),product_prod(list(X0),list(X1))) > fun(X0,X1) ) ).

tff(func_def_3955,type,
    sK2876: 
      !>[X0: $tType,X1: $tType] : ( product_prod(fun(X0,X1),product_prod(list(X0),list(X1))) > X0 ) ).

tff(func_def_3956,type,
    sK2877: 
      !>[X0: $tType,X1: $tType] : ( product_prod(fun(X0,X1),product_prod(list(X0),list(X1))) > list(X0) ) ).

tff(func_def_3957,type,
    sK2878: 
      !>[X0: $tType,X1: $tType] : ( product_prod(fun(X0,X1),product_prod(list(X0),list(X1))) > list(X1) ) ).

tff(func_def_3958,type,
    sK2879: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,fun(X1,$o)) * list(X0) * list(X1) ) > X0 ) ).

tff(func_def_3959,type,
    sK2880: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,fun(X1,$o)) * list(X0) * list(X1) ) > X1 ) ).

tff(func_def_3960,type,
    sK2881: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,fun(X1,$o)) * list(X0) * list(X1) ) > list(X0) ) ).

tff(func_def_3961,type,
    sK2882: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,fun(X1,$o)) * list(X0) * list(X1) ) > list(X1) ) ).

tff(func_def_3962,type,
    sK2883: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,fun(X1,$o)) * list(X0) * list(X1) ) > X0 ) ).

tff(func_def_3963,type,
    sK2884: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,fun(X1,$o)) * list(X0) * list(X1) ) > X1 ) ).

tff(func_def_3964,type,
    sK2885: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,fun(X1,$o)) * list(X0) * list(X1) ) > list(X0) ) ).

tff(func_def_3965,type,
    sK2886: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,fun(X1,$o)) * list(X0) * list(X1) ) > list(X1) ) ).

tff(func_def_3966,type,
    sK2887: 
      !>[X0: $tType] : ( ( nat * list(X0) ) > X0 ) ).

tff(func_def_3967,type,
    sK2888: 
      !>[X0: $tType] : ( ( nat * list(X0) ) > list(X0) ) ).

tff(func_def_3968,type,
    sK2889: 
      !>[X0: $tType,X1: $tType] : ( ( list(X1) * fun(X1,X0) * X1 ) > X1 ) ).

tff(func_def_3969,type,
    sK2890: 
      !>[X0: $tType] : ( ( X0 * list(X0) * list(X0) * set(product_prod(X0,X0)) ) > X0 ) ).

tff(func_def_3970,type,
    sK2891: 
      !>[X0: $tType] : ( ( X0 * list(X0) * list(X0) * set(product_prod(X0,X0)) ) > list(X0) ) ).

tff(func_def_3971,type,
    sK2892: 
      !>[X0: $tType] : ( ( list(X0) * X0 * list(X0) * set(product_prod(X0,X0)) ) > X0 ) ).

tff(func_def_3972,type,
    sK2893: 
      !>[X0: $tType] : ( ( list(X0) * X0 * list(X0) * set(product_prod(X0,X0)) ) > list(X0) ) ).

tff(func_def_3973,type,
    sK2894: 
      !>[X0: $tType,X1: $tType] : ( ( X1 * list(X1) * list(X0) * set(product_prod(X1,X0)) ) > X0 ) ).

tff(func_def_3974,type,
    sK2895: 
      !>[X0: $tType,X1: $tType] : ( ( X1 * list(X1) * list(X0) * set(product_prod(X1,X0)) ) > list(X0) ) ).

tff(func_def_3975,type,
    sK2896: 
      !>[X0: $tType,X1: $tType] : ( ( list(X1) * X0 * list(X0) * set(product_prod(X1,X0)) ) > X1 ) ).

tff(func_def_3976,type,
    sK2897: 
      !>[X0: $tType,X1: $tType] : ( ( list(X1) * X0 * list(X0) * set(product_prod(X1,X0)) ) > list(X1) ) ).

tff(func_def_3977,type,
    sK2898: 
      !>[X0: $tType,X1: $tType] : ( ( list(X1) * list(X0) * set(product_prod(X1,X0)) ) > X1 ) ).

tff(func_def_3978,type,
    sK2899: 
      !>[X0: $tType,X1: $tType] : ( ( list(X1) * list(X0) * set(product_prod(X1,X0)) ) > X0 ) ).

tff(func_def_3979,type,
    sK2900: 
      !>[X0: $tType,X1: $tType] : ( ( list(X1) * list(X0) * set(product_prod(X1,X0)) ) > list(X1) ) ).

tff(func_def_3980,type,
    sK2901: 
      !>[X0: $tType,X1: $tType] : ( ( list(X1) * list(X0) * set(product_prod(X1,X0)) ) > list(X0) ) ).

tff(func_def_3981,type,
    sK2902: 
      !>[X0: $tType,X1: $tType] : ( ( list(X1) * list(X0) * set(product_prod(X1,X0)) ) > X1 ) ).

tff(func_def_3982,type,
    sK2903: 
      !>[X0: $tType,X1: $tType] : ( ( list(X1) * list(X0) * set(product_prod(X1,X0)) ) > X0 ) ).

tff(func_def_3983,type,
    sK2904: 
      !>[X0: $tType,X1: $tType] : ( ( list(X1) * list(X0) * set(product_prod(X1,X0)) ) > list(X1) ) ).

tff(func_def_3984,type,
    sK2905: 
      !>[X0: $tType,X1: $tType] : ( ( list(X1) * list(X0) * set(product_prod(X1,X0)) ) > list(X0) ) ).

tff(func_def_3985,type,
    sK2906: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) * set(list(X0)) ) > X0 ) ).

tff(func_def_3986,type,
    sK2907: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) * set(list(X0)) ) > list(X0) ) ).

tff(func_def_3987,type,
    sK2908: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) * set(list(X0)) ) > X0 ) ).

tff(func_def_3988,type,
    sK2909: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) * set(list(X0)) ) > list(X0) ) ).

tff(func_def_3989,type,
    sK2910: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * list(X1) * list(X0) * list(X0) ) > list(X1) ) ).

tff(func_def_3990,type,
    sK2911: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * list(X1) * list(X0) * list(X0) ) > list(X1) ) ).

tff(func_def_3991,type,
    sK2912: 
      !>[X0: $tType,X1: $tType] : ( ( list(X0) * list(X0) * fun(X1,X0) * list(X1) ) > list(X1) ) ).

tff(func_def_3992,type,
    sK2913: 
      !>[X0: $tType,X1: $tType] : ( ( list(X0) * list(X0) * fun(X1,X0) * list(X1) ) > list(X1) ) ).

tff(func_def_3993,type,
    sK2914: 
      !>[X0: $tType] : ( ( X0 * list(X0) ) > list(X0) ) ).

tff(func_def_3994,type,
    sK2915: 
      !>[X0: $tType] : ( ( X0 * list(X0) ) > list(X0) ) ).

tff(func_def_3995,type,
    sK2916: 
      !>[X0: $tType] : ( ( X0 * list(X0) ) > list(X0) ) ).

tff(func_def_3996,type,
    sK2917: 
      !>[X0: $tType] : ( ( X0 * list(X0) ) > list(X0) ) ).

tff(func_def_3997,type,
    sK2918: 
      !>[X0: $tType] : ( ( list(X0) * fun(X0,$o) ) > list(X0) ) ).

tff(func_def_3998,type,
    sK2919: 
      !>[X0: $tType] : ( ( list(X0) * fun(X0,$o) ) > X0 ) ).

tff(func_def_3999,type,
    sK2920: 
      !>[X0: $tType] : ( ( list(X0) * fun(X0,$o) ) > list(X0) ) ).

tff(func_def_4000,type,
    sK2921: 
      !>[X0: $tType] : ( ( X0 * list(X0) ) > list(X0) ) ).

tff(func_def_4001,type,
    sK2922: 
      !>[X0: $tType] : ( ( X0 * list(X0) ) > list(X0) ) ).

tff(func_def_4002,type,
    sK2923: 
      !>[X0: $tType] : ( ( list(X0) * fun(X0,$o) ) > list(X0) ) ).

tff(func_def_4003,type,
    sK2924: 
      !>[X0: $tType] : ( ( list(X0) * fun(X0,$o) ) > X0 ) ).

tff(func_def_4004,type,
    sK2925: 
      !>[X0: $tType] : ( ( list(X0) * fun(X0,$o) ) > list(X0) ) ).

tff(func_def_4005,type,
    sK2926: 
      !>[X0: $tType] : ( ( X0 * list(X0) ) > list(X0) ) ).

tff(func_def_4006,type,
    sK2927: 
      !>[X0: $tType] : ( ( X0 * list(X0) ) > list(X0) ) ).

tff(func_def_4007,type,
    sK2928: 
      !>[X0: $tType] : ( ( list(X0) * fun(X0,$o) ) > list(X0) ) ).

tff(func_def_4008,type,
    sK2929: 
      !>[X0: $tType] : ( ( list(X0) * fun(X0,$o) ) > X0 ) ).

tff(func_def_4009,type,
    sK2930: 
      !>[X0: $tType] : ( ( list(X0) * fun(X0,$o) ) > list(X0) ) ).

tff(func_def_4010,type,
    sK2931: 
      !>[X0: $tType] : ( ( list(X0) * fun(X0,$o) ) > list(X0) ) ).

tff(func_def_4011,type,
    sK2932: 
      !>[X0: $tType] : ( ( list(X0) * fun(X0,$o) ) > X0 ) ).

tff(func_def_4012,type,
    sK2933: 
      !>[X0: $tType] : ( ( list(X0) * fun(X0,$o) ) > list(X0) ) ).

tff(func_def_4013,type,
    sK2934: 
      !>[X0: $tType] : ( ( list(X0) * fun(X0,$o) ) > list(X0) ) ).

tff(func_def_4014,type,
    sK2935: 
      !>[X0: $tType] : ( ( list(X0) * fun(X0,$o) ) > X0 ) ).

tff(func_def_4015,type,
    sK2936: 
      !>[X0: $tType] : ( ( list(X0) * fun(X0,$o) ) > list(X0) ) ).

tff(func_def_4016,type,
    sK2937: 
      !>[X0: $tType] : ( ( list(X0) * fun(X0,$o) ) > list(X0) ) ).

tff(func_def_4017,type,
    sK2938: 
      !>[X0: $tType] : ( ( list(X0) * fun(X0,$o) ) > X0 ) ).

tff(func_def_4018,type,
    sK2939: 
      !>[X0: $tType] : ( ( list(X0) * fun(X0,$o) ) > list(X0) ) ).

tff(func_def_4019,type,
    sK2940: 
      !>[X0: $tType] : ( ( X0 * list(X0) ) > list(X0) ) ).

tff(func_def_4020,type,
    sK2941: 
      !>[X0: $tType] : ( ( X0 * list(X0) ) > list(X0) ) ).

tff(func_def_4021,type,
    sK2942: 
      !>[X0: $tType] : ( ( X0 * list(X0) ) > list(X0) ) ).

tff(func_def_4022,type,
    sK2943: 
      !>[X0: $tType] : ( ( X0 * list(X0) ) > list(X0) ) ).

tff(func_def_4023,type,
    sK2944: 
      !>[X0: $tType] : ( ( list(X0) * fun(X0,$o) ) > X0 ) ).

tff(func_def_4024,type,
    sK2945: 
      !>[X0: $tType] : ( ( list(X0) * fun(X0,$o) ) > list(X0) ) ).

tff(func_def_4025,type,
    sK2946: 
      !>[X0: $tType] : ( ( list(X0) * fun(X0,$o) ) > X0 ) ).

tff(func_def_4026,type,
    sK2947: 
      !>[X0: $tType] : ( ( list(X0) * fun(X0,$o) ) > list(X0) ) ).

tff(func_def_4027,type,
    sK2948: 
      !>[X0: $tType] : ( ( fun(X0,$o) * list(X0) ) > X0 ) ).

tff(func_def_4028,type,
    sK2949: 
      !>[X0: $tType] : ( ( list(X0) * fun(X0,$o) ) > X0 ) ).

tff(func_def_4029,type,
    sK2950: 
      !>[X0: $tType] : ( ( list(X0) * fun(X0,$o) ) > list(X0) ) ).

tff(func_def_4030,type,
    sK2951: 
      !>[X0: $tType] : ( ( list(X0) * fun(X0,$o) ) > X0 ) ).

tff(func_def_4031,type,
    sK2952: 
      !>[X0: $tType] : ( ( fun(X0,$o) * list(X0) ) > X0 ) ).

tff(func_def_4032,type,
    sK2953: 
      !>[X0: $tType] : ( ( list(X0) * fun(X0,$o) ) > list(X0) ) ).

tff(func_def_4033,type,
    sK2954: 
      !>[X0: $tType] : ( ( list(list(X0)) * list(X0) * list(X0) ) > list(list(X0)) ) ).

tff(func_def_4034,type,
    sK2955: 
      !>[X0: $tType] : ( ( list(list(X0)) * list(X0) * list(X0) ) > list(X0) ) ).

tff(func_def_4035,type,
    sK2956: 
      !>[X0: $tType] : ( ( list(list(X0)) * list(X0) * list(X0) ) > list(X0) ) ).

tff(func_def_4036,type,
    sK2957: 
      !>[X0: $tType] : ( ( list(list(X0)) * list(X0) * list(X0) ) > list(list(X0)) ) ).

tff(func_def_4037,type,
    sK2958: 
      !>[X0: $tType] : ( ( list(list(X0)) * list(X0) * list(X0) ) > list(list(X0)) ) ).

tff(func_def_4038,type,
    sK2959: 
      !>[X0: $tType] : ( ( list(list(X0)) * list(X0) * list(X0) ) > list(X0) ) ).

tff(func_def_4039,type,
    sK2960: 
      !>[X0: $tType] : ( ( list(list(X0)) * list(X0) * list(X0) ) > list(X0) ) ).

tff(func_def_4040,type,
    sK2961: 
      !>[X0: $tType] : ( ( list(list(X0)) * list(X0) * list(X0) ) > list(list(X0)) ) ).

tff(func_def_4041,type,
    sK2962: 
      !>[X0: $tType] : ( fun(list(X0),$o) > X0 ) ).

tff(func_def_4042,type,
    sK2963: 
      !>[X0: $tType] : ( fun(list(X0),$o) > X0 ) ).

tff(func_def_4043,type,
    sK2964: 
      !>[X0: $tType] : ( fun(list(X0),$o) > list(X0) ) ).

tff(func_def_4044,type,
    sK2965: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) * X0 * list(X0) ) > list(X0) ) ).

tff(func_def_4045,type,
    sK2966: 
      !>[X0: $tType] : ( ( X0 * list(X0) * list(X0) * list(X0) ) > list(X0) ) ).

tff(func_def_4046,type,
    sK2967: 
      !>[X0: $tType] : ( list(X0) > list(X0) ) ).

tff(func_def_4047,type,
    sK2968: 
      !>[X0: $tType] : ( list(X0) > X0 ) ).

tff(func_def_4048,type,
    sK2969: 
      !>[X0: $tType] : ( fun(list(X0),$o) > X0 ) ).

tff(func_def_4049,type,
    sK2970: 
      !>[X0: $tType] : ( fun(list(X0),$o) > list(X0) ) ).

tff(func_def_4050,type,
    sK2971: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) ) > nat ) ).

tff(func_def_4051,type,
    sK2972: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) ) > nat ) ).

tff(func_def_4052,type,
    sK2973: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) ) > list(X0) ) ).

tff(func_def_4053,type,
    sK2974: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) * list(X0) * list(X0) ) > list(X0) ) ).

tff(func_def_4054,type,
    sK2975: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) ) > list(X0) ) ).

tff(func_def_4055,type,
    sK2976: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) ) > X0 ) ).

tff(func_def_4056,type,
    sK2977: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) ) > list(X0) ) ).

tff(func_def_4057,type,
    sK2978: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) ) > X0 ) ).

tff(func_def_4058,type,
    sK2979: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) ) > list(X0) ) ).

tff(func_def_4059,type,
    sK2980: 
      !>[X0: $tType] : ( list(X0) > list(X0) ) ).

tff(func_def_4060,type,
    sK2981: 
      !>[X0: $tType] : ( list(X0) > list(X0) ) ).

tff(func_def_4061,type,
    sK2982: 
      !>[X0: $tType] : ( list(X0) > list(X0) ) ).

tff(func_def_4062,type,
    sK2983: 
      !>[X0: $tType] : ( list(X0) > X0 ) ).

tff(func_def_4063,type,
    sK2984: 
      !>[X0: $tType] : ( list(X0) > list(X0) ) ).

tff(func_def_4064,type,
    sK2985: 
      !>[X0: $tType] : ( list(X0) > X0 ) ).

tff(func_def_4065,type,
    sK2986: 
      !>[X0: $tType] : ( list(X0) > list(X0) ) ).

tff(func_def_4066,type,
    sK2987: 
      !>[X0: $tType] : ( ( X0 * list(X0) * list(X0) ) > list(X0) ) ).

tff(func_def_4067,type,
    sK2988: 
      !>[X0: $tType] : ( ( X0 * list(X0) * list(X0) ) > list(X0) ) ).

tff(func_def_4068,type,
    sK2989: 
      !>[X0: $tType] : ( set(product_prod(X0,X0)) > X0 ) ).

tff(func_def_4069,type,
    sK2990: 
      !>[X0: $tType] : ( set(product_prod(X0,X0)) > X0 ) ).

tff(func_def_4070,type,
    sK2991: 
      !>[X0: $tType] : ( set(product_prod(X0,X0)) > X0 ) ).

tff(func_def_4071,type,
    sK2992: 
      !>[X0: $tType] : ( ( list(X0) * nat ) > X0 ) ).

tff(func_def_4072,type,
    sK2993: 
      !>[X0: $tType] : ( ( list(X0) * nat ) > list(X0) ) ).

tff(func_def_4073,type,
    sK2994: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) * set(product_prod(X0,X0)) ) > X0 ) ).

tff(func_def_4074,type,
    sK2995: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) * set(product_prod(X0,X0)) ) > X0 ) ).

tff(func_def_4075,type,
    sK2996: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) * set(product_prod(X0,X0)) ) > list(X0) ) ).

tff(func_def_4076,type,
    sK2997: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) * set(product_prod(X0,X0)) ) > list(X0) ) ).

tff(func_def_4077,type,
    sK2998: 
      !>[X0: $tType] : ( ( list(X0) * set(product_prod(X0,X0)) ) > X0 ) ).

tff(func_def_4078,type,
    sK2999: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) ) > nat ) ).

tff(func_def_4079,type,
    sK3000: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) ) > list(X0) ) ).

tff(func_def_4080,type,
    sK3001: ( list(nat) * nat ) > nat ).

tff(func_def_4081,type,
    sK3002: ( list(nat) * nat ) > list(nat) ).

tff(func_def_4082,type,
    sK3003: 
      !>[X0: $tType] : ( ( list(list(X0)) * list(list(X0)) ) > list(list(X0)) ) ).

tff(func_def_4083,type,
    sK3004: 
      !>[X0: $tType] : ( ( list(list(X0)) * list(list(X0)) ) > X0 ) ).

tff(func_def_4084,type,
    sK3005: 
      !>[X0: $tType] : ( ( list(list(X0)) * list(list(X0)) ) > list(X0) ) ).

tff(func_def_4085,type,
    sK3006: 
      !>[X0: $tType] : ( ( list(list(X0)) * list(list(X0)) ) > list(list(X0)) ) ).

tff(func_def_4086,type,
    sK3007: 
      !>[X0: $tType] : ( list(list(X0)) > list(X0) ) ).

tff(func_def_4087,type,
    sK3008: 
      !>[X0: $tType] : ( ( list(list(X0)) * list(list(X0)) ) > list(list(X0)) ) ).

tff(func_def_4088,type,
    sK3009: 
      !>[X0: $tType] : ( ( list(list(X0)) * list(list(X0)) ) > X0 ) ).

tff(func_def_4089,type,
    sK3010: 
      !>[X0: $tType] : ( ( list(list(X0)) * list(list(X0)) ) > list(X0) ) ).

tff(func_def_4090,type,
    sK3011: 
      !>[X0: $tType] : ( ( list(list(X0)) * list(list(X0)) ) > list(list(X0)) ) ).

tff(func_def_4091,type,
    sK3013: 
      !>[X0: $tType] : ( fun(list(list(X0)),$o) > list(list(X0)) ) ).

tff(func_def_4092,type,
    sK3014: 
      !>[X0: $tType] : ( fun(list(list(X0)),$o) > X0 ) ).

tff(func_def_4093,type,
    sK3015: 
      !>[X0: $tType] : ( fun(list(list(X0)),$o) > list(X0) ) ).

tff(func_def_4094,type,
    sK3016: 
      !>[X0: $tType] : ( fun(list(list(X0)),$o) > list(list(X0)) ) ).

tff(func_def_4095,type,
    sK3017: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) ) > X0 ) ).

tff(func_def_4096,type,
    sK3018: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) ) > X0 ) ).

tff(func_def_4097,type,
    sK3019: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) ) > X0 ) ).

tff(func_def_4098,type,
    sK3020: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) ) > list(X0) ) ).

tff(func_def_4099,type,
    sK3022: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) ) > list(X0) ) ).

tff(func_def_4100,type,
    sK3023: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) ) > list(X0) ) ).

tff(func_def_4101,type,
    sK3024: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) ) > list(X0) ) ).

tff(func_def_4102,type,
    sK3025: ( list(nat) * nat ) > nat ).

tff(func_def_4103,type,
    sK3026: ( list(nat) * nat ) > list(nat) ).

tff(func_def_4104,type,
    sK3027: 
      !>[X0: $tType] : ( ( list(X0) * nat * fun(nat,X0) ) > nat ) ).

tff(func_def_4105,type,
    sK3028: 
      !>[X0: $tType] : ( ( list(list(X0)) * nat ) > nat ) ).

tff(func_def_4106,type,
    sK3029: 
      !>[X0: $tType] : ( ( fun(X0,$o) * list(X0) ) > X0 ) ).

tff(func_def_4107,type,
    sK3030: 
      !>[X0: $tType] : ( ( fun(X0,$o) * list(X0) ) > X0 ) ).

tff(func_def_4108,type,
    sK3031: 
      !>[X0: $tType] : ( ( list(X0) * fun(X0,$o) ) > X0 ) ).

tff(func_def_4109,type,
    sK3032: 
      !>[X0: $tType] : ( list(X0) > X0 ) ).

tff(func_def_4110,type,
    sK3033: 
      !>[X0: $tType] : ( ( list(X0) * fun(X0,$o) ) > X0 ) ).

tff(func_def_4111,type,
    sK3034: 
      !>[X0: $tType,X1: $tType] : ( ( list(X1) * fun(X1,$o) * fun(X1,X0) ) > X1 ) ).

tff(func_def_4112,type,
    sK3035: 
      !>[X0: $tType] : ( list(X0) > X0 ) ).

tff(func_def_4113,type,
    sK3036: 
      !>[X0: $tType] : ( list(X0) > X0 ) ).

tff(func_def_4114,type,
    sK3037: 
      !>[X0: $tType] : ( list(X0) > X0 ) ).

tff(func_def_4115,type,
    sK3038: 
      !>[X0: $tType] : ( list(X0) > X0 ) ).

tff(func_def_4116,type,
    sK3039: 
      !>[X0: $tType] : ( ( fun(X0,$o) * list(X0) ) > X0 ) ).

tff(func_def_4117,type,
    sK3040: 
      !>[X0: $tType] : ( ( fun(X0,$o) * list(X0) ) > X0 ) ).

tff(func_def_4118,type,
    sK3041: 
      !>[X0: $tType] : ( ( X0 * list(X0) * fun(X0,$o) * list(X0) ) > list(X0) ) ).

tff(func_def_4119,type,
    sK3042: 
      !>[X0: $tType] : ( ( X0 * list(X0) * fun(X0,$o) * list(X0) ) > list(X0) ) ).

tff(func_def_4120,type,
    sK3043: 
      !>[X0: $tType] : ( ( fun(X0,$o) * list(X0) * X0 * list(X0) ) > list(X0) ) ).

tff(func_def_4121,type,
    sK3044: 
      !>[X0: $tType] : ( ( fun(X0,$o) * list(X0) * X0 * list(X0) ) > list(X0) ) ).

tff(func_def_4122,type,
    sK3045: 
      !>[X0: $tType] : ( ( X0 * list(X0) * fun(X0,$o) * list(X0) ) > list(X0) ) ).

tff(func_def_4123,type,
    sK3046: 
      !>[X0: $tType] : ( ( X0 * list(X0) * fun(X0,$o) * list(X0) ) > list(X0) ) ).

tff(func_def_4124,type,
    sK3047: 
      !>[X0: $tType] : ( ( fun(X0,$o) * list(X0) ) > X0 ) ).

tff(func_def_4125,type,
    sK3048: 
      !>[X0: $tType] : ( ( fun(X0,$o) * list(X0) * X0 * list(X0) ) > list(X0) ) ).

tff(func_def_4126,type,
    sK3049: 
      !>[X0: $tType] : ( ( fun(X0,$o) * list(X0) * X0 * list(X0) ) > list(X0) ) ).

tff(func_def_4127,type,
    sK3050: 
      !>[X0: $tType] : ( ( fun(X0,$o) * list(X0) ) > X0 ) ).

tff(func_def_4128,type,
    sK3051: 
      !>[X0: $tType] : ( ( fun(X0,$o) * list(X0) ) > X0 ) ).

tff(func_def_4129,type,
    sK3052: 
      !>[X0: $tType] : ( ( list(X0) * fun(X0,$o) * fun(X0,$o) ) > X0 ) ).

tff(func_def_4130,type,
    sK3053: 
      !>[X0: $tType,X1: $tType] : ( ( list(X1) * fun(X1,X0) * fun(X1,X0) ) > X1 ) ).

tff(func_def_4131,type,
    sK3054: 
      !>[X0: $tType,X1: $tType] : ( ( list(X1) * fun(X1,X0) * fun(X1,X0) ) > X1 ) ).

tff(func_def_4132,type,
    sK3055: 
      !>[X0: $tType] : ( list(X0) > X0 ) ).

tff(func_def_4133,type,
    sK3056: 
      !>[X0: $tType] : ( list(X0) > X0 ) ).

tff(func_def_4134,type,
    sK3057: 
      !>[X0: $tType,X1: $tType] : ( ( list(X0) * fun(X0,fun(X1,X1)) * fun(X0,fun(X1,X1)) ) > X1 ) ).

tff(func_def_4135,type,
    sK3058: 
      !>[X0: $tType,X1: $tType] : ( ( list(X0) * fun(X0,fun(X1,X1)) * fun(X0,fun(X1,X1)) ) > X0 ) ).

tff(func_def_4136,type,
    sK3059: 
      !>[X0: $tType] : ( fun(nat,X0) > nat ) ).

tff(func_def_4137,type,
    sK3060: 
      !>[X0: $tType] : ( fun(nat,X0) > nat ) ).

tff(func_def_4138,type,
    sK3061: 
      !>[X0: $tType] : ( ( list(X0) * fun(X0,fun(X0,$o)) * fun(X0,fun(X0,$o)) ) > X0 ) ).

tff(func_def_4139,type,
    sK3062: 
      !>[X0: $tType] : ( ( list(X0) * fun(X0,fun(X0,$o)) * fun(X0,fun(X0,$o)) ) > X0 ) ).

tff(func_def_4140,type,
    sK3063: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,$o)) * list(X0) ) > nat ) ).

tff(func_def_4141,type,
    sK3064: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,$o)) * list(X0) ) > nat ) ).

tff(func_def_4142,type,
    sK3065: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,$o)) * list(X0) * list(X0) ) > X0 ) ).

tff(func_def_4143,type,
    sK3066: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,$o)) * list(X0) * list(X0) ) > X0 ) ).

tff(func_def_4144,type,
    sK3067: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) ) > X0 ) ).

tff(func_def_4145,type,
    sK3068: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) ) > X0 ) ).

tff(func_def_4146,type,
    sK3069: 
      !>[X0: $tType] : ( ( X0 * list(X0) ) > X0 ) ).

tff(func_def_4147,type,
    sK3070: 
      !>[X0: $tType] : ( ( X0 * list(X0) ) > X0 ) ).

tff(func_def_4148,type,
    sK3071: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,$o)) * list(X0) ) > X0 ) ).

tff(func_def_4149,type,
    sK3072: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,$o)) * list(X0) ) > list(X0) ) ).

tff(func_def_4150,type,
    sK3073: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,$o)) * list(X0) ) > X0 ) ).

tff(func_def_4151,type,
    sK3074: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,$o)) * X0 * list(X0) ) > X0 ) ).

tff(func_def_4152,type,
    sK3075: 
      !>[X0: $tType] : ( list(X0) > nat ) ).

tff(func_def_4153,type,
    sK3076: 
      !>[X0: $tType] : ( list(X0) > nat ) ).

tff(func_def_4154,type,
    sK3077: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,$o)) * list(X0) * $o ) > X0 ) ).

tff(func_def_4155,type,
    sK3078: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,$o)) * list(X0) * $o ) > list(X0) ) ).

tff(func_def_4156,type,
    sK3079: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,$o)) * list(X0) * $o ) > X0 ) ).

tff(func_def_4157,type,
    sK3080: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,$o)) * list(X0) ) > X0 ) ).

tff(func_def_4158,type,
    sK3081: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,$o)) * list(X0) ) > list(X0) ) ).

tff(func_def_4159,type,
    sK3082: 
      !>[X0: $tType] : ( set(X0) > list(X0) ) ).

tff(func_def_4160,type,
    sK3083: 
      !>[X0: $tType] : ( list(X0) > nat ) ).

tff(func_def_4161,type,
    sK3084: 
      !>[X0: $tType] : ( set(X0) > list(X0) ) ).

tff(func_def_4162,type,
    sK3085: 
      !>[X0: $tType] : ( list(X0) > nat ) ).

tff(func_def_4163,type,
    sK3086: 
      !>[X0: $tType] : ( list(X0) > nat ) ).

tff(func_def_4164,type,
    sK3087: 
      !>[X0: $tType] : ( ( list(X0) * X0 ) > X0 ) ).

tff(func_def_4165,type,
    sK3088: 
      !>[X0: $tType] : ( list(X0) > nat ) ).

tff(func_def_4166,type,
    sK3089: 
      !>[X0: $tType] : ( list(X0) > nat ) ).

tff(func_def_4167,type,
    sK3090: 
      !>[X0: $tType] : ( list(X0) > nat ) ).

tff(func_def_4168,type,
    sK3091: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,fun(X0,$o)) * fun(X1,X0) * set(X1) ) > list(X1) ) ).

tff(func_def_4169,type,
    sK3092: 
      !>[X0: $tType] : ( ( fun(X0,$o) * list(X0) ) > X0 ) ).

tff(func_def_4170,type,
    sK3093: 
      !>[X0: $tType] : ( ( list(X0) * fun(X0,$o) ) > X0 ) ).

tff(func_def_4171,type,
    sK3094: 
      !>[X0: $tType] : ( ( list(X0) * fun(X0,$o) * fun(X0,$o) ) > X0 ) ).

tff(func_def_4172,type,
    sK3095: 
      !>[X0: $tType] : ( ( fun(X0,$o) * list(X0) ) > X0 ) ).

tff(func_def_4173,type,
    sK3096: 
      !>[X0: $tType] : ( ( nat * fun(X0,$o) * list(X0) ) > nat ) ).

tff(func_def_4174,type,
    sK3097: 
      !>[X0: $tType] : ( ( nat * list(X0) * fun(X0,$o) ) > nat ) ).

tff(func_def_4175,type,
    sK3098: 
      !>[X0: $tType] : ( ( fun(X0,$o) * list(X0) ) > X0 ) ).

tff(func_def_4176,type,
    sK3099: 
      !>[X0: $tType] : ( ( list(X0) * fun(X0,$o) ) > X0 ) ).

tff(func_def_4177,type,
    sK3100: 
      !>[X0: $tType] : ( ( list(X0) * fun(X0,$o) * fun(X0,$o) ) > X0 ) ).

tff(func_def_4178,type,
    sK3101: 
      !>[X0: $tType] : ( set(product_prod(X0,X0)) > X0 ) ).

tff(func_def_4179,type,
    sK3102: 
      !>[X0: $tType] : ( set(product_prod(X0,X0)) > X0 ) ).

tff(func_def_4180,type,
    sK3103: 
      !>[X0: $tType] : ( ( fun(X0,$o) * list(X0) ) > X0 ) ).

tff(func_def_4181,type,
    sK3104: 
      !>[X0: $tType] : ( ( fun(X0,$o) * list(X0) ) > X0 ) ).

tff(func_def_4182,type,
    sK3105: 
      !>[X0: $tType] : ( ( list(X0) * X0 ) > X0 ) ).

tff(func_def_4183,type,
    sK3106: 
      !>[X0: $tType] : ( ( list(X0) * X0 ) > list(X0) ) ).

tff(func_def_4184,type,
    sK3107: 
      !>[X0: $tType] : ( ( list(X0) * X0 ) > X0 ) ).

tff(func_def_4185,type,
    sK3108: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * list(X1) * X1 ) > X1 ) ).

tff(func_def_4186,type,
    sK3109: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * list(X1) * X1 ) > X1 ) ).

tff(func_def_4187,type,
    sK3110: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * list(X1) * X1 ) > list(X1) ) ).

tff(func_def_4188,type,
    sK3111: 
      !>[X0: $tType] : ( ( list(X0) * X0 ) > X0 ) ).

tff(func_def_4189,type,
    sK3112: 
      !>[X0: $tType] : ( ( list(X0) * X0 ) > list(X0) ) ).

tff(func_def_4190,type,
    sK3113: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,set(X0)) ) > X1 ) ).

tff(func_def_4191,type,
    sK3114: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,set(X0)) ) > X1 ) ).

tff(func_def_4192,type,
    sK3115: 
      !>[X0: $tType,X1: $tType] : ( ( product_prod(X0,X1) * set(X0) * fun(X0,set(X1)) ) > X0 ) ).

tff(func_def_4193,type,
    sK3116: 
      !>[X0: $tType,X1: $tType] : ( ( product_prod(X0,X1) * set(X0) * fun(X0,set(X1)) ) > X1 ) ).

tff(func_def_4194,type,
    sK3117: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,set(X1)) ) > X0 ) ).

tff(func_def_4195,type,
    sK3118: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,set(X0)) * fun(X1,set(X0)) ) > X1 ) ).

tff(func_def_4196,type,
    sK3119: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,set(X0)) * fun(X1,set(X0)) ) > X1 ) ).

tff(func_def_4197,type,
    sK3120: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,set(X0)) ) > X1 ) ).

tff(func_def_4198,type,
    sK3121: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,set(X0)) ) > X1 ) ).

tff(func_def_4199,type,
    sK3122: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,set(X0)) ) > X1 ) ).

tff(func_def_4200,type,
    sK3123: 
      !>[X0: $tType,X1: $tType] : ( ( set(product_prod(X1,X1)) * fun(X1,X0) ) > X1 ) ).

tff(func_def_4201,type,
    sK3124: 
      !>[X0: $tType,X1: $tType] : ( ( set(product_prod(X1,X1)) * fun(X1,X0) ) > X1 ) ).

tff(func_def_4202,type,
    sK3125: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,$o) * fun(X1,X0) * fun(X1,$o) ) > X1 ) ).

tff(func_def_4203,type,
    sK3126: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,X1) * set(X1) ) > X0 ) ).

tff(func_def_4204,type,
    sK3127: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,X0) * fun(X1,X0) ) > X1 ) ).

tff(func_def_4205,type,
    sK3128: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * set(X0) ) > X1 ) ).

tff(func_def_4206,type,
    sK3129: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * set(X0) ) > X1 ) ).

tff(func_def_4207,type,
    sK3130: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X1,X0) * set(X1) ) > X0 ) ).

tff(func_def_4208,type,
    sK3131: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * set(X1) ) > X0 ) ).

tff(func_def_4209,type,
    sK3132: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * set(X1) ) > X0 ) ).

tff(func_def_4210,type,
    sK3133: 
      !>[X0: $tType] : ( ( list(X0) * fun(X0,$o) ) > X0 ) ).

tff(func_def_4211,type,
    sK3134: 
      !>[X0: $tType] : ( ( fun(X0,$o) * list(X0) ) > X0 ) ).

tff(func_def_4212,type,
    sK3135: 
      !>[X0: $tType] : ( ( set(X0) * set(product_prod(X0,X0)) ) > X0 ) ).

tff(func_def_4213,type,
    sK3136: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * set(X0) ) > X0 ) ).

tff(func_def_4214,type,
    sK3137: 
      !>[X0: $tType] : ( ( set(X0) * set(product_prod(X0,X0)) ) > X0 ) ).

tff(func_def_4215,type,
    sK3138: 
      !>[X0: $tType] : ( ( set(X0) * set(product_prod(X0,X0)) ) > product_prod(X0,X0) ) ).

tff(func_def_4216,type,
    sK3139: 
      !>[X0: $tType] : ( ( set(X0) * set(product_prod(X0,X0)) ) > X0 ) ).

tff(func_def_4217,type,
    sK3140: 
      !>[X0: $tType] : ( ( set(X0) * set(product_prod(X0,X0)) ) > X0 ) ).

tff(func_def_4218,type,
    sK3141: 
      !>[X0: $tType] : ( ( set(X0) * set(product_prod(X0,X0)) ) > X0 ) ).

tff(func_def_4219,type,
    sK3142: 
      !>[X0: $tType] : ( ( set(X0) * set(product_prod(X0,X0)) ) > X0 ) ).

tff(func_def_4220,type,
    sK3143: 
      !>[X0: $tType] : ( set(product_prod(X0,X0)) > X0 ) ).

tff(func_def_4221,type,
    sK3144: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X1,X0) * fun(X0,X1) ) > X0 ) ).

tff(func_def_4222,type,
    sK3145: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * fun(X0,X1) * set(X1) ) > X1 ) ).

tff(func_def_4223,type,
    sK3146: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,set(X0)) ) > X1 ) ).

tff(func_def_4224,type,
    sK3147: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,set(X0)) ) > X1 ) ).

tff(func_def_4225,type,
    sK3148: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( set(X2) * fun(X2,set(X0)) * fun(X0,X1) * fun(X2,set(X1)) ) > X2 ) ).

tff(func_def_4226,type,
    sK3149: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * set(X1) ) > fun(X0,X1) ) ).

tff(func_def_4227,type,
    sK3150: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * set(X1) ) > fun(X0,X1) ) ).

tff(func_def_4228,type,
    sK3151: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > fun(X0,X0) ) ).

tff(func_def_4229,type,
    sK3152: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > fun(X0,X0) ) ).

tff(func_def_4230,type,
    sK3153: 
      !>[X0: $tType] : ( set(X0) > fun(nat,X0) ) ).

tff(func_def_4231,type,
    sK3154: 
      !>[X0: $tType] : ( set(X0) > fun(nat,X0) ) ).

tff(func_def_4232,type,
    sK3155: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( set(X0) * fun(X0,X2) * fun(X2,X1) ) > X0 ) ).

tff(func_def_4233,type,
    sK3156: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_4234,type,
    sK3157: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( set(X0) * fun(X0,X2) * fun(X2,X1) ) > X0 ) ).

tff(func_def_4235,type,
    sK3158: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_4236,type,
    sK3159: 
      !>[X0: $tType] : ( set(X0) > fun(nat,X0) ) ).

tff(func_def_4237,type,
    sK3160: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * set(X1) ) > fun(X0,X1) ) ).

tff(func_def_4238,type,
    sK3161: 
      !>[X0: $tType] : ( set(X0) > fun(X0,nat) ) ).

tff(func_def_4239,type,
    sK3162: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * fun(X0,$o) ) > X0 ) ).

tff(func_def_4240,type,
    sK3163: 
      !>[X0: $tType] : ( set(product_prod(X0,X0)) > set(X0) ) ).

tff(func_def_4241,type,
    sK3164: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * set(X0) ) > X0 ) ).

tff(func_def_4242,type,
    sK3165: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * X0 ) > X0 ) ).

tff(func_def_4243,type,
    sK3166: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * fun(X0,nat) * fun(X0,nat) ) > X0 ) ).

tff(func_def_4244,type,
    sK3167: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * fun(X0,nat) * fun(X0,nat) ) > X0 ) ).

tff(func_def_4245,type,
    sK3168: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * set(X0) * set(X0) ) > X0 ) ).

tff(func_def_4246,type,
    sK3169: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * set(X0) * set(X0) ) > fun(X0,$o) ) ).

tff(func_def_4247,type,
    sK3170: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * set(X0) * set(X0) * X0 ) > X0 ) ).

tff(func_def_4248,type,
    sK3171: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * set(X0) ) > X0 ) ).

tff(func_def_4249,type,
    sK3172: 
      !>[X0: $tType] : ( set(product_prod(X0,X0)) > X0 ) ).

tff(func_def_4250,type,
    sK3173: 
      !>[X0: $tType] : ( set(product_prod(X0,X0)) > X0 ) ).

tff(func_def_4251,type,
    sK3174: 
      !>[X0: $tType,X1: $tType] : ( ( set(product_prod(X1,X1)) * fun(X0,$o) * fun(X0,X1) ) > X0 ) ).

tff(func_def_4252,type,
    sK3175: 
      !>[X0: $tType] : ( set(product_prod(X0,X0)) > fun(X0,$o) ) ).

tff(func_def_4253,type,
    sK3176: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * fun(X0,$o) ) > X0 ) ).

tff(func_def_4254,type,
    sK3177: 
      !>[X0: $tType] : ( set(product_prod(X0,X0)) > X0 ) ).

tff(func_def_4255,type,
    sK3178: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * X0 ) > X0 ) ).

tff(func_def_4256,type,
    sK3179: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * set(X0) ) > X0 ) ).

tff(func_def_4257,type,
    sK3180: 
      !>[X0: $tType] : ( set(product_prod(X0,X0)) > X0 ) ).

tff(func_def_4258,type,
    sK3181: 
      !>[X0: $tType] : ( set(product_prod(X0,X0)) > set(X0) ) ).

tff(func_def_4259,type,
    sK3182: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * X0 ) > X0 ) ).

tff(func_def_4260,type,
    sK3183: 
      !>[X0: $tType] : ( set(product_prod(X0,X0)) > fun(X0,$o) ) ).

tff(func_def_4261,type,
    sK3184: 
      !>[X0: $tType] : ( set(product_prod(X0,X0)) > X0 ) ).

tff(func_def_4262,type,
    sK3185: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * X0 ) > X0 ) ).

tff(func_def_4263,type,
    sK3186: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * fun(X0,$o) ) > X0 ) ).

tff(func_def_4264,type,
    sK3187: 
      !>[X0: $tType] : ( set(product_prod(X0,X0)) > set(X0) ) ).

tff(func_def_4265,type,
    sK3188: 
      !>[X0: $tType] : ( set(product_prod(X0,X0)) > X0 ) ).

tff(func_def_4266,type,
    sK3189: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * set(X0) ) > X0 ) ).

tff(func_def_4267,type,
    sK3190: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * X0 ) > X0 ) ).

tff(func_def_4268,type,
    sK3191: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * fun(X0,$o) ) > X0 ) ).

tff(func_def_4269,type,
    sK3192: 
      !>[X0: $tType] : ( set(product_prod(X0,X0)) > fun(nat,X0) ) ).

tff(func_def_4270,type,
    sK3193: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * fun(nat,X0) ) > nat ) ).

tff(func_def_4271,type,
    sK3194: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * fun(nat,X0) ) > nat ) ).

tff(func_def_4272,type,
    sK3195: 
      !>[X0: $tType] : ( ( fun(X0,$o) * fun(X0,nat) * fun(X0,X0) ) > X0 ) ).

tff(func_def_4273,type,
    sK3196: 
      !>[X0: $tType] : ( set(product_prod(X0,X0)) > set(X0) ) ).

tff(func_def_4274,type,
    sK3197: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * set(X0) ) > X0 ) ).

tff(func_def_4275,type,
    sK3198: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * X0 ) > X0 ) ).

tff(func_def_4276,type,
    sK3199: 
      !>[X0: $tType,X1: $tType] : ( ( set(product_prod(X1,X1)) * fun(X1,set(X0)) * fun(X1,set(X0)) ) > X1 ) ).

tff(func_def_4277,type,
    sK3200: 
      !>[X0: $tType,X1: $tType] : ( ( set(product_prod(X1,X1)) * fun(X1,set(X0)) * fun(X1,set(X0)) ) > X1 ) ).

tff(func_def_4278,type,
    sK3201: 
      !>[X0: $tType,X1: $tType] : ( ( set(product_prod(X1,X1)) * fun(fun(X1,X0),fun(X1,fun(X0,$o))) ) > fun(X1,X0) ) ).

tff(func_def_4279,type,
    sK3202: 
      !>[X0: $tType,X1: $tType] : ( ( set(product_prod(X1,X1)) * fun(fun(X1,X0),fun(X1,fun(X0,$o))) ) > fun(X1,X0) ) ).

tff(func_def_4280,type,
    sK3203: 
      !>[X0: $tType,X1: $tType] : ( ( set(product_prod(X1,X1)) * fun(fun(X1,X0),fun(X1,fun(X0,$o))) ) > X1 ) ).

tff(func_def_4281,type,
    sK3204: 
      !>[X0: $tType,X1: $tType] : ( ( set(product_prod(X1,X1)) * fun(fun(X1,X0),fun(X1,fun(X0,$o))) ) > X0 ) ).

tff(func_def_4282,type,
    sK3205: 
      !>[X0: $tType,X1: $tType] : ( ( set(product_prod(X1,X1)) * fun(fun(X1,X0),fun(X1,fun(X0,$o))) ) > X1 ) ).

tff(func_def_4283,type,
    sK3206: 
      !>[X0: $tType,X1: $tType] : ( ( set(product_prod(X1,X1)) * fun(fun(X1,X0),fun(X1,fun(X0,$o))) ) > fun(X1,X0) ) ).

tff(func_def_4284,type,
    sK3207: 
      !>[X0: $tType,X1: $tType] : ( fun(fun(X1,X0),fun(X1,fun(X0,$o))) > fun(X1,X0) ) ).

tff(func_def_4285,type,
    sK3208: 
      !>[X0: $tType,X1: $tType] : ( fun(fun(X1,X0),fun(X1,fun(X0,$o))) > X0 ) ).

tff(func_def_4286,type,
    sK3209: 
      !>[X0: $tType,X1: $tType] : ( fun(fun(X1,X0),fun(X1,fun(X0,$o))) > fun(X1,X0) ) ).

tff(func_def_4287,type,
    sK3210: 
      !>[X0: $tType,X1: $tType] : ( fun(fun(X1,X0),fun(X1,fun(X0,$o))) > fun(X1,X0) ) ).

tff(func_def_4288,type,
    sK3211: 
      !>[X0: $tType,X1: $tType] : ( fun(fun(X1,X0),fun(X1,fun(X0,$o))) > X1 ) ).

tff(func_def_4289,type,
    sK3212: 
      !>[X0: $tType,X1: $tType] : ( fun(fun(X1,X0),fun(X1,fun(X0,$o))) > X1 ) ).

tff(func_def_4290,type,
    sK3213: 
      !>[X0: $tType,X1: $tType] : ( fun(fun(X1,X0),fun(X1,fun(X0,$o))) > fun(X1,X0) ) ).

tff(func_def_4291,type,
    sK3214: 
      !>[X0: $tType,X1: $tType] : ( fun(fun(X1,X0),fun(X1,fun(X0,$o))) > fun(X1,X0) ) ).

tff(func_def_4292,type,
    sK3215: 
      !>[X0: $tType] : ( ( set(set(X0)) * set(X0) ) > set(X0) ) ).

tff(func_def_4293,type,
    sK3216: 
      !>[X0: $tType] : ( set(set(X0)) > set(set(X0)) ) ).

tff(func_def_4294,type,
    sK3217: 
      !>[X0: $tType] : ( set(set(X0)) > set(X0) ) ).

tff(func_def_4295,type,
    sK3218: 
      !>[X0: $tType] : ( ( set(set(X0)) * set(X0) ) > set(X0) ) ).

tff(func_def_4296,type,
    sK3219: 
      !>[X0: $tType] : ( set(set(X0)) > set(set(X0)) ) ).

tff(func_def_4297,type,
    sK3220: 
      !>[X0: $tType] : ( set(set(X0)) > set(X0) ) ).

tff(func_def_4298,type,
    sK3221: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * fun(X0,$o) ) > X0 ) ).

tff(func_def_4299,type,
    sK3229: num > num ).

tff(func_def_4300,type,
    sK3230: ( num * num * option(num) ) > num ).

tff(func_def_4301,type,
    sK3231: ( num * num * option(num) ) > num ).

tff(func_def_4302,type,
    sK3232: ( num * num * option(num) ) > num ).

tff(func_def_4303,type,
    sK3233: ( num * num * option(num) ) > num ).

tff(func_def_4304,type,
    sK3234: ( num * num * option(num) ) > num ).

tff(func_def_4305,type,
    sK3235: ( num * num * option(num) ) > num ).

tff(func_def_4306,type,
    sK3236: num > num ).

tff(func_def_4307,type,
    sK3237: ( num * num * option(num) ) > num ).

tff(func_def_4308,type,
    sK3238: ( num * num * option(num) ) > num ).

tff(func_def_4309,type,
    sK3239: ( num * num * option(num) ) > num ).

tff(func_def_4310,type,
    sK3240: ( num * num * option(num) ) > num ).

tff(func_def_4311,type,
    sK3241: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * option(X0) * X1 ) > X0 ) ).

tff(func_def_4312,type,
    sK3242: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X0,fun(X1,$o)) ) > X1 ) ).

tff(func_def_4313,type,
    sK3243: 
      !>[X0: $tType] : ( fun(X0,$o) > X0 ) ).

tff(func_def_4314,type,
    sK3244: 
      !>[X0: $tType] : ( fun(X0,$o) > X0 ) ).

tff(func_def_4315,type,
    sK3245: 
      !>[X0: $tType,X1: $tType] : ( ( option(X1) * fun(X1,X0) * fun(X1,X0) ) > X1 ) ).

tff(func_def_4316,type,
    sK3246: 
      !>[X0: $tType] : ( ( set(X0) * fun(X0,$o) ) > X0 ) ).

tff(func_def_4317,type,
    sK3247: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,$o)) * set(X0) * X0 ) > X0 ) ).

tff(func_def_4318,type,
    sK3248: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,$o)) * set(X0) * set(X0) ) > X0 ) ).

tff(func_def_4319,type,
    sK3249: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,$o)) * set(X0) * X0 ) > X0 ) ).

tff(func_def_4320,type,
    sK3250: 
      !>[X0: $tType] : ( ( set(X0) * set(X0) * fun(X0,fun(X0,$o)) ) > X0 ) ).

tff(func_def_4321,type,
    sK3258: num > num ).

tff(func_def_4322,type,
    sK3259: ( num * num * option(num) ) > num ).

tff(func_def_4323,type,
    sK3260: ( num * num * option(num) ) > num ).

tff(func_def_4324,type,
    sK3261: ( num * num * option(num) ) > num ).

tff(func_def_4325,type,
    sK3262: ( num * num * option(num) ) > num ).

tff(func_def_4326,type,
    sK3263: num > num ).

tff(func_def_4327,type,
    sK3264: num > num ).

tff(func_def_4328,type,
    sK3265: num > num ).

tff(func_def_4329,type,
    sK3266: ( num * num * option(num) ) > num ).

tff(func_def_4330,type,
    sK3267: ( num * num * option(num) ) > num ).

tff(func_def_4331,type,
    sK3268: ( num * num * option(num) ) > num ).

tff(func_def_4332,type,
    sK3269: ( num * num * option(num) ) > num ).

tff(func_def_4333,type,
    sK3276: ( num * option(num) ) > num ).

tff(func_def_4334,type,
    sK3277: ( num * option(num) ) > num ).

tff(func_def_4335,type,
    sK3278: ( num * num * option(num) ) > num ).

tff(func_def_4336,type,
    sK3279: ( num * num * option(num) ) > num ).

tff(func_def_4337,type,
    sK3280: ( num * num * option(num) ) > num ).

tff(func_def_4338,type,
    sK3281: ( num * num * option(num) ) > num ).

tff(func_def_4339,type,
    sK3282: ( num * num * option(num) ) > num ).

tff(func_def_4340,type,
    sK3283: ( num * num * option(num) ) > num ).

tff(func_def_4341,type,
    sK3285: ( num * num * option(num) ) > num ).

tff(func_def_4342,type,
    sK3286: ( num * num * option(num) ) > num ).

tff(func_def_4343,type,
    sK3287: ( num * num * option(num) ) > num ).

tff(func_def_4344,type,
    sK3288: ( num * num * option(num) ) > num ).

tff(func_def_4345,type,
    sK3289: 
      !>[X0: $tType] : ( X0 > int ) ).

tff(func_def_4346,type,
    sK3290: 
      !>[X0: $tType] : ( product_prod(X0,X0) > X0 ) ).

tff(func_def_4347,type,
    sK3291: 
      !>[X0: $tType] : ( product_prod(X0,X0) > X0 ) ).

tff(func_def_4348,type,
    sK3292: real > int ).

tff(func_def_4349,type,
    sK3293: real > nat ).

tff(func_def_4350,type,
    sK3294: 
      !>[X0: $tType] : ( product_prod(X0,X0) > X0 ) ).

tff(func_def_4351,type,
    sK3295: 
      !>[X0: $tType] : ( product_prod(X0,X0) > X0 ) ).

tff(func_def_4352,type,
    sK3296: 
      !>[X0: $tType] : ( product_prod(X0,X0) > X0 ) ).

tff(func_def_4353,type,
    sK3297: 
      !>[X0: $tType] : ( product_prod(X0,X0) > X0 ) ).

tff(func_def_4354,type,
    sK3298: 
      !>[X0: $tType] : ( product_prod(X0,X0) > X0 ) ).

tff(func_def_4355,type,
    sK3299: 
      !>[X0: $tType] : ( product_prod(X0,X0) > X0 ) ).

tff(func_def_4356,type,
    sK3300: 
      !>[X0: $tType] : ( product_prod(X0,X0) > X0 ) ).

tff(func_def_4357,type,
    sK3301: 
      !>[X0: $tType] : ( product_prod(X0,X0) > X0 ) ).

tff(func_def_4358,type,
    sK3302: 
      !>[X0: $tType] : ( product_prod(X0,X0) > X0 ) ).

tff(func_def_4359,type,
    sK3303: 
      !>[X0: $tType] : ( product_prod(X0,X0) > X0 ) ).

tff(func_def_4360,type,
    sK3304: 
      !>[X0: $tType] : ( ( set(set(X0)) * set(X0) ) > set(X0) ) ).

tff(func_def_4361,type,
    sK3305: 
      !>[X0: $tType] : ( ( fun(set(X0),$o) * set(X0) ) > set(X0) ) ).

tff(func_def_4362,type,
    sK3306: 
      !>[X0: $tType] : ( ( fun(set(X0),$o) * set(X0) ) > X0 ) ).

tff(func_def_4363,type,
    sK3307: 
      !>[X0: $tType] : ( ( fun(X0,$o) * X0 ) > X0 ) ).

tff(func_def_4364,type,
    sK3308: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,fun(X1,$o)) * X0 ) > X1 ) ).

tff(func_def_4365,type,
    sK3309: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,fun(X1,$o)) * X1 ) > X0 ) ).

tff(func_def_4366,type,
    sK3310: 
      !>[X0: $tType] : ( ( list(X0) * X0 ) > nat ) ).

tff(func_def_4367,type,
    sK3311: 
      !>[X0: $tType] : ( ( set(set(X0)) * set(X0) ) > fun(set(X0),X0) ) ).

tff(func_def_4368,type,
    sK3312: 
      !>[X0: $tType] : ( ( set(set(X0)) * fun(set(X0),X0) ) > set(X0) ) ).

tff(func_def_4369,type,
    sK3313: 
      !>[X0: $tType] : ( ( set(set(X0)) * set(X0) ) > fun(set(X0),X0) ) ).

tff(func_def_4370,type,
    sK3314: 
      !>[X0: $tType] : ( ( set(set(X0)) * fun(set(X0),X0) ) > set(X0) ) ).

tff(func_def_4371,type,
    sK3315: 
      !>[X0: $tType] : ( ( set(X0) * set(X0) ) > set(X0) ) ).

tff(func_def_4372,type,
    sK3316: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_4373,type,
    sK3317: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_4374,type,
    sK3318: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_4375,type,
    sK3319: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_4376,type,
    sK3320: 
      !>[X0: $tType] : ( ( fun(X0,$o) * X0 ) > X0 ) ).

tff(func_def_4377,type,
    sK3321: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,option(X1)) * X1 ) > X0 ) ).

tff(func_def_4378,type,
    sK3322: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * X0 ) > X1 ) ).

tff(func_def_4379,type,
    sK3323: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,option(X1)) * product_prod(X0,X1) ) > X0 ) ).

tff(func_def_4380,type,
    sK3324: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,option(X1)) * product_prod(X0,X1) ) > X1 ) ).

tff(func_def_4381,type,
    sK3325: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * product_prod(set(X0),set(X0)) ) > set(X0) ) ).

tff(func_def_4382,type,
    sK3326: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * product_prod(set(X0),set(X0)) ) > set(X0) ) ).

tff(func_def_4383,type,
    sK3327: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * set(X0) * set(X0) ) > X0 ) ).

tff(func_def_4384,type,
    sK3328: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * product_prod(set(X0),set(X0)) * X0 ) > X0 ) ).

tff(func_def_4385,type,
    sK3329: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * list(X0) * list(X0) ) > list(X0) ) ).

tff(func_def_4386,type,
    sK3330: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * list(X0) * list(X0) ) > X0 ) ).

tff(func_def_4387,type,
    sK3331: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * list(X0) * list(X0) ) > X0 ) ).

tff(func_def_4388,type,
    sK3332: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * list(X0) * list(X0) ) > list(X0) ) ).

tff(func_def_4389,type,
    sK3333: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * list(X0) * list(X0) ) > list(X0) ) ).

tff(func_def_4390,type,
    sK3334: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * set(X0) * X0 ) > X0 ) ).

tff(func_def_4391,type,
    sK3335: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * set(X0) * X0 ) > X0 ) ).

tff(func_def_4392,type,
    sK3336: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * set(X0) * X0 ) > X0 ) ).

tff(func_def_4393,type,
    sK3337: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,$o)) * fun(X0,$o) * X0 ) > X0 ) ).

tff(func_def_4394,type,
    sK3338: 
      !>[X0: $tType] : ( ( fun(X0,$o) * X0 ) > set(X0) ) ).

tff(func_def_4395,type,
    sK3339: 
      !>[X0: $tType] : ( ( fun(X0,X0) * fun(X0,$o) * X0 ) > X0 ) ).

tff(func_def_4396,type,
    sK3340: 
      !>[X0: $tType] : ( ( fun(X0,$o) * set(X0) ) > X0 ) ).

tff(func_def_4397,type,
    sK3341: 
      !>[X0: $tType] : ( ( fun(list(X0),fun(list(X0),$o)) * list(X0) * list(X0) ) > X0 ) ).

tff(func_def_4398,type,
    sK3342: 
      !>[X0: $tType] : ( ( fun(list(X0),fun(list(X0),$o)) * list(X0) * list(X0) ) > X0 ) ).

tff(func_def_4399,type,
    sK3343: 
      !>[X0: $tType] : ( ( fun(list(X0),fun(list(X0),$o)) * list(X0) * list(X0) ) > list(X0) ) ).

tff(func_def_4400,type,
    sK3344: 
      !>[X0: $tType] : ( ( fun(list(X0),fun(list(X0),$o)) * list(X0) * list(X0) ) > list(X0) ) ).

tff(func_def_4401,type,
    sK3345: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) ) > X0 ) ).

tff(func_def_4402,type,
    sK3346: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) ) > X0 ) ).

tff(func_def_4403,type,
    sK3347: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) ) > list(X0) ) ).

tff(func_def_4404,type,
    sK3348: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) ) > list(X0) ) ).

tff(func_def_4405,type,
    sK3349: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) ) > X0 ) ).

tff(func_def_4406,type,
    sK3350: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) ) > list(X0) ) ).

tff(func_def_4407,type,
    sK3352: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * set(X0) * set(X0) ) > X0 ) ).

tff(func_def_4408,type,
    sK3353: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * set(X0) * X0 ) > X0 ) ).

tff(func_def_4409,type,
    sK3354: 
      !>[X0: $tType,X1: $tType] : ( ( list(X0) * list(X1) * product_prod(X0,X1) ) > nat ) ).

tff(func_def_4410,type,
    sK3355: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,X0) * product_prod(X1,X0) ) > X1 ) ).

tff(func_def_4411,type,
    sK3356: 
      !>[X0: $tType] : ( ( list(X0) * set(nat) * X0 ) > nat ) ).

tff(func_def_4412,type,
    sK3357: 
      !>[X0: $tType] : ( ( set(X0) * X0 * X0 ) > X0 ) ).

tff(func_def_4413,type,
    sK3358: 
      !>[X0: $tType] : ( ( set(X0) * X0 * X0 ) > X0 ) ).

tff(func_def_4414,type,
    sK3359: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * set(X1) * X0 ) > X1 ) ).

tff(func_def_4415,type,
    sK3360: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,set(X0)) * fun(X1,$o) * set(X0) ) > X1 ) ).

tff(func_def_4416,type,
    sK3361: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * fun(X1,$o) * X0 ) > X1 ) ).

tff(func_def_4417,type,
    sK3362: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,$o) * fun(X1,X0) * X0 ) > X1 ) ).

tff(func_def_4418,type,
    sK3363: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X0,fun(X1,$o)) * X0 ) > X1 ) ).

tff(func_def_4419,type,
    sK3364: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X0,fun(X1,$o)) * X0 ) > X1 ) ).

tff(func_def_4420,type,
    sK3365: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * set(X1) * X1 ) > X1 ) ).

tff(func_def_4421,type,
    sK3366: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,option(X1)) * set(X0) * X1 ) > X0 ) ).

tff(func_def_4422,type,
    sK3367: 
      !>[X0: $tType] : ( ( fun(nat,X0) * fun(nat,real) * nat ) > nat ) ).

tff(func_def_4423,type,
    sK3368: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * set(X1) * X0 ) > X1 ) ).

tff(func_def_4424,type,
    sK3369: 
      !>[X0: $tType] : ( ( fun(nat,X0) * fun(nat,real) * nat ) > nat ) ).

tff(func_def_4425,type,
    sK3370: 
      !>[X0: $tType] : ( ( fun(nat,X0) * fun(nat,real) * nat ) > nat ) ).

tff(func_def_4426,type,
    sK3371: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,$o) * fun(X0,fun(X1,$o)) * X0 ) > X1 ) ).

tff(func_def_4427,type,
    sK3372: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,set(X0)) * fun(X1,$o) * X0 ) > X1 ) ).

tff(func_def_4428,type,
    sK3373: 
      !>[X0: $tType] : ( ( fun(X0,X0) * X0 * X0 ) > nat ) ).

tff(func_def_4429,type,
    sK3374: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * list(X0) * list(X0) ) > X0 ) ).

tff(func_def_4430,type,
    sK3375: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * list(X0) * list(X0) ) > list(X0) ) ).

tff(func_def_4431,type,
    sK3376: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * list(X0) * list(X0) ) > list(X0) ) ).

tff(func_def_4432,type,
    sK3377: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * list(X0) * list(X0) ) > X0 ) ).

tff(func_def_4433,type,
    sK3378: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * list(X0) * list(X0) ) > X0 ) ).

tff(func_def_4434,type,
    sK3379: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * list(X0) * list(X0) ) > list(X0) ) ).

tff(func_def_4435,type,
    sK3380: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * list(X0) * list(X0) ) > list(X0) ) ).

tff(func_def_4436,type,
    sK3381: 
      !>[X0: $tType] : ( ( set(X0) * set(X0) * X0 ) > X0 ) ).

tff(func_def_4437,type,
    sK3382: 
      !>[X0: $tType] : ( ( set(X0) * set(X0) * X0 ) > X0 ) ).

tff(func_def_4438,type,
    sK3383: 
      !>[X0: $tType] : ( ( set(X0) * set(X0) * X0 ) > X0 ) ).

tff(func_def_4439,type,
    sK3384: 
      !>[X0: $tType] : ( ( set(X0) * set(X0) * X0 ) > X0 ) ).

tff(func_def_4440,type,
    sK3385: 
      !>[X0: $tType] : ( ( set(X0) * set(list(X0)) * list(X0) ) > X0 ) ).

tff(func_def_4441,type,
    sK3386: 
      !>[X0: $tType] : ( ( set(X0) * set(list(X0)) * list(X0) ) > list(X0) ) ).

tff(func_def_4442,type,
    sK3387: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * list(X0) * list(X0) ) > list(X0) ) ).

tff(func_def_4443,type,
    sK3388: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * list(X0) * list(X0) ) > X0 ) ).

tff(func_def_4444,type,
    sK3389: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * list(X0) * list(X0) ) > X0 ) ).

tff(func_def_4445,type,
    sK3390: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * list(X0) * list(X0) ) > list(X0) ) ).

tff(func_def_4446,type,
    sK3391: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * list(X0) * list(X0) ) > list(X0) ) ).

tff(func_def_4447,type,
    sK3392: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * list(X0) * list(X0) ) > X0 ) ).

tff(func_def_4448,type,
    sK3393: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * list(X0) * list(X0) ) > X0 ) ).

tff(func_def_4449,type,
    sK3394: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * list(X0) * list(X0) ) > list(X0) ) ).

tff(func_def_4450,type,
    sK3395: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * list(X0) * list(X0) ) > list(X0) ) ).

tff(func_def_4451,type,
    sK3396: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,$o)) * fun(X0,fun(X0,$o)) * X0 * X0 ) > X0 ) ).

tff(func_def_4452,type,
    sK3397: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,$o)) * fun(X0,fun(X0,$o)) * X0 * X0 ) > X0 ) ).

tff(func_def_4453,type,
    sK3398: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,$o)) * fun(X0,fun(X0,$o)) * X0 * X0 ) > X0 ) ).

tff(func_def_4454,type,
    sK3399: 
      !>[X0: $tType] : ( ( X0 * X0 ) > X0 ) ).

tff(func_def_4455,type,
    sK3400: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,$o)) * fun(X0,fun(X0,$o)) * X0 * X0 ) > X0 ) ).

tff(func_def_4456,type,
    sK3401: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,$o)) * fun(X0,fun(X0,$o)) * X0 * X0 ) > X0 ) ).

tff(func_def_4457,type,
    sK3402: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,$o)) * fun(X0,fun(X0,$o)) * X0 * X0 ) > X0 ) ).

tff(func_def_4458,type,
    sK3403: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,$o)) * X0 * X0 ) > X0 ) ).

tff(func_def_4459,type,
    sK3404: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,$o)) * X0 * X0 ) > X0 ) ).

tff(func_def_4460,type,
    sK3405: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,$o)) * fun(list(X0),fun(list(X0),$o)) * list(X0) * list(X0) ) > X0 ) ).

tff(func_def_4461,type,
    sK3406: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,$o)) * fun(list(X0),fun(list(X0),$o)) * list(X0) * list(X0) ) > X0 ) ).

tff(func_def_4462,type,
    sK3407: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,$o)) * fun(list(X0),fun(list(X0),$o)) * list(X0) * list(X0) ) > list(X0) ) ).

tff(func_def_4463,type,
    sK3408: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,$o)) * fun(list(X0),fun(list(X0),$o)) * list(X0) * list(X0) ) > list(X0) ) ).

tff(func_def_4464,type,
    sK3409: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,$o)) * list(X0) * list(X0) ) > X0 ) ).

tff(func_def_4465,type,
    sK3410: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,$o)) * list(X0) * list(X0) ) > X0 ) ).

tff(func_def_4466,type,
    sK3411: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,$o)) * list(X0) * list(X0) ) > list(X0) ) ).

tff(func_def_4467,type,
    sK3412: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,$o)) * list(X0) * list(X0) ) > list(X0) ) ).

tff(func_def_4468,type,
    sK3413: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) ) > X0 ) ).

tff(func_def_4469,type,
    sK3414: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) ) > list(X0) ) ).

tff(func_def_4470,type,
    sK3416: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * set(X1) * X1 * fun(X0,X1) ) > X0 ) ).

tff(func_def_4471,type,
    sK3417: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( set(product_prod(X0,X2)) * set(product_prod(X2,X1)) * X0 * X1 ) > X2 ) ).

tff(func_def_4472,type,
    sK3418: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( set(X2) * fun(X2,X1) * fun(X2,X0) * product_prod(X1,X0) ) > X2 ) ).

tff(func_def_4473,type,
    sK3419: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( fun(X0,$o) * fun(X2,$o) * fun(X0,fun(X2,X1)) * X1 ) > X0 ) ).

tff(func_def_4474,type,
    sK3420: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( fun(X0,$o) * fun(X2,$o) * fun(X0,fun(X2,X1)) * X1 ) > X2 ) ).

tff(func_def_4475,type,
    sK3421: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( fun(X0,X1) * fun(X2,X1) * set(X0) * set(X2) * X1 ) > X0 ) ).

tff(func_def_4476,type,
    sK3422: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( fun(X0,X1) * fun(X2,X1) * set(X0) * set(X2) * X1 ) > X2 ) ).

tff(func_def_4477,type,
    sK3423: ( list(vEBT_VEBT) * vEBT_VEBT * nat ) > nat ).

tff(func_def_4478,type,
    sK3424: list(vEBT_VEBT) > vEBT_VEBT ).

tff(func_def_4479,type,
    sK3425: ( nat * list(vEBT_VEBT) * nat * nat * nat ) > nat ).

tff(func_def_4480,type,
    sK3426: list(vEBT_VEBT) > nat ).

tff(func_def_4481,type,
    sK3429: ( list(vEBT_VEBT) * nat ) > nat ).

tff(func_def_4482,type,
    sK3430: 
      !>[X0: $tType] : ( fun(X0,$o) > X0 ) ).

tff(pred_def_1,type,
    type: 
      !>[X0: $tType] : $o ).

tff(pred_def_2,type,
    size: 
      !>[X0: $tType] : $o ).

tff(pred_def_3,type,
    dvd: 
      !>[X0: $tType] : $o ).

tff(pred_def_4,type,
    one: 
      !>[X0: $tType] : $o ).

tff(pred_def_5,type,
    idom: 
      !>[X0: $tType] : $o ).

tff(pred_def_6,type,
    ring: 
      !>[X0: $tType] : $o ).

tff(pred_def_7,type,
    plus: 
      !>[X0: $tType] : $o ).

tff(pred_def_8,type,
    zero: 
      !>[X0: $tType] : $o ).

tff(pred_def_9,type,
    numeral: 
      !>[X0: $tType] : $o ).

tff(pred_def_10,type,
    power: 
      !>[X0: $tType] : $o ).

tff(pred_def_11,type,
    field: 
      !>[X0: $tType] : $o ).

tff(pred_def_12,type,
    ring_gcd: 
      !>[X0: $tType] : $o ).

tff(pred_def_13,type,
    abs_if: 
      !>[X0: $tType] : $o ).

tff(pred_def_14,type,
    ring_1: 
      !>[X0: $tType] : $o ).

tff(pred_def_15,type,
    uminus: 
      !>[X0: $tType] : $o ).

tff(pred_def_16,type,
    bot: 
      !>[X0: $tType] : $o ).

tff(pred_def_17,type,
    ord: 
      !>[X0: $tType] : $o ).

tff(pred_def_18,type,
    top: 
      !>[X0: $tType] : $o ).

tff(pred_def_19,type,
    semidom: 
      !>[X0: $tType] : $o ).

tff(pred_def_20,type,
    inverse: 
      !>[X0: $tType] : $o ).

tff(pred_def_21,type,
    semiring: 
      !>[X0: $tType] : $o ).

tff(pred_def_22,type,
    ring_char_0: 
      !>[X0: $tType] : $o ).

tff(pred_def_23,type,
    neg_numeral: 
      !>[X0: $tType] : $o ).

tff(pred_def_24,type,
    order: 
      !>[X0: $tType] : $o ).

tff(pred_def_25,type,
    comm_ring: 
      !>[X0: $tType] : $o ).

tff(pred_def_26,type,
    mult_zero: 
      !>[X0: $tType] : $o ).

tff(pred_def_27,type,
    semiring_Gcd: 
      !>[X0: $tType] : $o ).

tff(pred_def_28,type,
    semiring_gcd: 
      !>[X0: $tType] : $o ).

tff(pred_def_29,type,
    group_add: 
      !>[X0: $tType] : $o ).

tff(pred_def_30,type,
    lattice: 
      !>[X0: $tType] : $o ).

tff(pred_def_31,type,
    no_bot: 
      !>[X0: $tType] : $o ).

tff(pred_def_32,type,
    no_top: 
      !>[X0: $tType] : $o ).

tff(pred_def_33,type,
    semiring_0: 
      !>[X0: $tType] : $o ).

tff(pred_def_34,type,
    semiring_1: 
      !>[X0: $tType] : $o ).

tff(pred_def_35,type,
    finite_finite: 
      !>[X0: $tType] : $o ).

tff(pred_def_36,type,
    monoid_add: 
      !>[X0: $tType] : $o ).

tff(pred_def_37,type,
    comm_ring_1: 
      !>[X0: $tType] : $o ).

tff(pred_def_38,type,
    idom_divide: 
      !>[X0: $tType] : $o ).

tff(pred_def_39,type,
    idom_modulo: 
      !>[X0: $tType] : $o ).

tff(pred_def_40,type,
    ln: 
      !>[X0: $tType] : $o ).

tff(pred_def_41,type,
    monoid_mult: 
      !>[X0: $tType] : $o ).

tff(pred_def_42,type,
    linorder: 
      !>[X0: $tType] : $o ).

tff(pred_def_43,type,
    preorder: 
      !>[X0: $tType] : $o ).

tff(pred_def_44,type,
    ring_parity: 
      !>[X0: $tType] : $o ).

tff(pred_def_45,type,
    idom_abs_sgn: 
      !>[X0: $tType] : $o ).

tff(pred_def_46,type,
    ordered_ring: 
      !>[X0: $tType] : $o ).

tff(pred_def_47,type,
    zero_neq_one: 
      !>[X0: $tType] : $o ).

tff(pred_def_48,type,
    finite_lattice: 
      !>[X0: $tType] : $o ).

tff(pred_def_49,type,
    field_char_0: 
      !>[X0: $tType] : $o ).

tff(pred_def_50,type,
    ab_group_add: 
      !>[X0: $tType] : $o ).

tff(pred_def_51,type,
    semiring_char_0: 
      !>[X0: $tType] : $o ).

tff(pred_def_52,type,
    order_bot: 
      !>[X0: $tType] : $o ).

tff(pred_def_53,type,
    order_top: 
      !>[X0: $tType] : $o ).

tff(pred_def_54,type,
    wellorder: 
      !>[X0: $tType] : $o ).

tff(pred_def_55,type,
    comm_semiring: 
      !>[X0: $tType] : $o ).

tff(pred_def_56,type,
    zero_less_one: 
      !>[X0: $tType] : $o ).

tff(pred_def_57,type,
    division_ring: 
      !>[X0: $tType] : $o ).

tff(pred_def_58,type,
    field_abs_sgn: 
      !>[X0: $tType] : $o ).

tff(pred_def_59,type,
    semigroup_add: 
      !>[X0: $tType] : $o ).

tff(pred_def_60,type,
    semiring_numeral: 
      !>[X0: $tType] : $o ).

tff(pred_def_61,type,
    semidom_divide: 
      !>[X0: $tType] : $o ).

tff(pred_def_62,type,
    semidom_modulo: 
      !>[X0: $tType] : $o ).

tff(pred_def_63,type,
    semigroup_mult: 
      !>[X0: $tType] : $o ).

tff(pred_def_64,type,
    dense_order: 
      !>[X0: $tType] : $o ).

tff(pred_def_65,type,
    comm_semiring_0: 
      !>[X0: $tType] : $o ).

tff(pred_def_66,type,
    comm_semiring_1: 
      !>[X0: $tType] : $o ).

tff(pred_def_67,type,
    linordered_idom: 
      !>[X0: $tType] : $o ).

tff(pred_def_68,type,
    linordered_ring: 
      !>[X0: $tType] : $o ).

tff(pred_def_69,type,
    semiring_modulo: 
      !>[X0: $tType] : $o ).

tff(pred_def_70,type,
    comm_monoid_add: 
      !>[X0: $tType] : $o ).

tff(pred_def_71,type,
    semiring_parity: 
      !>[X0: $tType] : $o ).

tff(pred_def_72,type,
    ordered_ring_abs: 
      !>[X0: $tType] : $o ).

tff(pred_def_73,type,
    ordered_semiring: 
      !>[X0: $tType] : $o ).

tff(pred_def_74,type,
    linordered_field: 
      !>[X0: $tType] : $o ).

tff(pred_def_75,type,
    ab_semigroup_add: 
      !>[X0: $tType] : $o ).

tff(pred_def_76,type,
    comm_monoid_diff: 
      !>[X0: $tType] : $o ).

tff(pred_def_77,type,
    comm_monoid_mult: 
      !>[X0: $tType] : $o ).

tff(pred_def_78,type,
    algebraic_semidom: 
      !>[X0: $tType] : $o ).

tff(pred_def_79,type,
    semiring_1_cancel: 
      !>[X0: $tType] : $o ).

tff(pred_def_80,type,
    ab_semigroup_mult: 
      !>[X0: $tType] : $o ).

tff(pred_def_81,type,
    bounded_lattice: 
      !>[X0: $tType] : $o ).

tff(pred_def_82,type,
    distrib_lattice: 
      !>[X0: $tType] : $o ).

tff(pred_def_83,type,
    semilattice_inf: 
      !>[X0: $tType] : $o ).

tff(pred_def_84,type,
    semilattice_sup: 
      !>[X0: $tType] : $o ).

tff(pred_def_85,type,
    dense_linorder: 
      !>[X0: $tType] : $o ).

tff(pred_def_86,type,
    linordered_semidom: 
      !>[X0: $tType] : $o ).

tff(pred_def_87,type,
    ordered_semiring_0: 
      !>[X0: $tType] : $o ).

tff(pred_def_88,type,
    real_Vector_banach: 
      !>[X0: $tType] : $o ).

tff(pred_def_89,type,
    linordered_semiring: 
      !>[X0: $tType] : $o ).

tff(pred_def_90,type,
    comple9053668089753744459l_ccpo: 
      !>[X0: $tType] : $o ).

tff(pred_def_91,type,
    finite8700451911770168679attice: 
      !>[X0: $tType] : $o ).

tff(pred_def_92,type,
    cancel_semigroup_add: 
      !>[X0: $tType] : $o ).

tff(pred_def_93,type,
    ordered_ab_group_add: 
      !>[X0: $tType] : $o ).

tff(pred_def_94,type,
    linord6961819062388156250ring_1: 
      !>[X0: $tType] : $o ).

tff(pred_def_95,type,
    ordere2520102378445227354miring: 
      !>[X0: $tType] : $o ).

tff(pred_def_96,type,
    topological_t1_space: 
      !>[X0: $tType] : $o ).

tff(pred_def_97,type,
    topological_t2_space: 
      !>[X0: $tType] : $o ).

tff(pred_def_98,type,
    topological_t3_space: 
      !>[X0: $tType] : $o ).

tff(pred_def_99,type,
    topological_t4_space: 
      !>[X0: $tType] : $o ).

tff(pred_def_100,type,
    bit_semiring_bits: 
      !>[X0: $tType] : $o ).

tff(pred_def_101,type,
    bounded_lattice_bot: 
      !>[X0: $tType] : $o ).

tff(pred_def_102,type,
    topolo1633459387980952147up_add: 
      !>[X0: $tType] : $o ).

tff(pred_def_103,type,
    comm_s4317794764714335236cancel: 
      !>[X0: $tType] : $o ).

tff(pred_def_104,type,
    linord4710134922213307826strict: 
      !>[X0: $tType] : $o ).

tff(pred_def_105,type,
    cancel1802427076303600483id_add: 
      !>[X0: $tType] : $o ).

tff(pred_def_106,type,
    topolo6943815403480290642id_add: 
      !>[X0: $tType] : $o ).

tff(pred_def_107,type,
    real_V7773925162809079976_field: 
      !>[X0: $tType] : $o ).

tff(pred_def_108,type,
    ring_15535105094025558882visors: 
      !>[X0: $tType] : $o ).

tff(pred_def_109,type,
    cancel2418104881723323429up_add: 
      !>[X0: $tType] : $o ).

tff(pred_def_110,type,
    linord5086331880401160121up_add: 
      !>[X0: $tType] : $o ).

tff(pred_def_111,type,
    ordere6911136660526730532id_add: 
      !>[X0: $tType] : $o ).

tff(pred_def_112,type,
    real_V4867850818363320053vector: 
      !>[X0: $tType] : $o ).

tff(pred_def_113,type,
    archim2362893244070406136eiling: 
      !>[X0: $tType] : $o ).

tff(pred_def_114,type,
    semiri6843258321239162965malize: 
      !>[X0: $tType] : $o ).

tff(pred_def_115,type,
    ordere166539214618696060dd_abs: 
      !>[X0: $tType] : $o ).

tff(pred_def_116,type,
    ordere6658533253407199908up_add: 
      !>[X0: $tType] : $o ).

tff(pred_def_117,type,
    topolo1287966508704411220up_add: 
      !>[X0: $tType] : $o ).

tff(pred_def_118,type,
    real_V7819770556892013058_space: 
      !>[X0: $tType] : $o ).

tff(pred_def_119,type,
    semiri3467727345109120633visors: 
      !>[X0: $tType] : $o ).

tff(pred_def_120,type,
    boolea8198339166811842893lgebra: 
      !>[X0: $tType] : $o ).

tff(pred_def_121,type,
    linord8928482502909563296strict: 
      !>[X0: $tType] : $o ).

tff(pred_def_122,type,
    topolo8386298272705272623_space: 
      !>[X0: $tType] : $o ).

tff(pred_def_123,type,
    topolo7287701948861334536_space: 
      !>[X0: $tType] : $o ).

tff(pred_def_124,type,
    topolo4211221413907600880p_mult: 
      !>[X0: $tType] : $o ).

tff(pred_def_125,type,
    real_V8037385150606011577_space: 
      !>[X0: $tType] : $o ).

tff(pred_def_126,type,
    real_V2191834092415804123ebra_1: 
      !>[X0: $tType] : $o ).

tff(pred_def_127,type,
    linord181362715937106298miring: 
      !>[X0: $tType] : $o ).

tff(pred_def_128,type,
    semiri2026040879449505780visors: 
      !>[X0: $tType] : $o ).

tff(pred_def_129,type,
    topolo2564578578187576103pology: 
      !>[X0: $tType] : $o ).

tff(pred_def_130,type,
    bit_ri3973907225187159222ations: 
      !>[X0: $tType] : $o ).

tff(pred_def_131,type,
    comple6319245703460814977attice: 
      !>[X0: $tType] : $o ).

tff(pred_def_132,type,
    linord4140545234300271783up_add: 
      !>[X0: $tType] : $o ).

tff(pred_def_133,type,
    topolo5987344860129210374id_add: 
      !>[X0: $tType] : $o ).

tff(pred_def_134,type,
    unboun7993243217541854897norder: 
      !>[X0: $tType] : $o ).

tff(pred_def_135,type,
    real_V768167426530841204y_dist: 
      !>[X0: $tType] : $o ).

tff(pred_def_136,type,
    linord715952674999750819strict: 
      !>[X0: $tType] : $o ).

tff(pred_def_137,type,
    archim462609752435547400_field: 
      !>[X0: $tType] : $o ).

tff(pred_def_138,type,
    comple5582772986160207858norder: 
      !>[X0: $tType] : $o ).

tff(pred_def_139,type,
    real_V5047593784448816457lgebra: 
      !>[X0: $tType] : $o ).

tff(pred_def_140,type,
    bounde4346867609351753570nf_top: 
      !>[X0: $tType] : $o ).

tff(pred_def_141,type,
    bounde4967611905675639751up_bot: 
      !>[X0: $tType] : $o ).

tff(pred_def_142,type,
    real_V3459762299906320749_field: 
      !>[X0: $tType] : $o ).

tff(pred_def_143,type,
    topolo8865339358273720382pology: 
      !>[X0: $tType] : $o ).

tff(pred_def_144,type,
    topolo1944317154257567458pology: 
      !>[X0: $tType] : $o ).

tff(pred_def_145,type,
    topolo4958980785337419405_space: 
      !>[X0: $tType] : $o ).

tff(pred_def_146,type,
    euclid3725896446679973847miring: 
      !>[X0: $tType] : $o ).

tff(pred_def_147,type,
    canoni5634975068530333245id_add: 
      !>[X0: $tType] : $o ).

tff(pred_def_148,type,
    ordere8940638589300402666id_add: 
      !>[X0: $tType] : $o ).

tff(pred_def_149,type,
    strict7427464778891057005id_add: 
      !>[X0: $tType] : $o ).

tff(pred_def_150,type,
    real_V822414075346904944vector: 
      !>[X0: $tType] : $o ).

tff(pred_def_151,type,
    linord2810124833399127020strict: 
      !>[X0: $tType] : $o ).

tff(pred_def_152,type,
    bit_se359711467146920520ations: 
      !>[X0: $tType] : $o ).

tff(pred_def_153,type,
    ordere2412721322843649153imp_le: 
      !>[X0: $tType] : $o ).

tff(pred_def_154,type,
    ordere580206878836729694up_add: 
      !>[X0: $tType] : $o ).

tff(pred_def_155,type,
    ordere1170586879665033532d_diff: 
      !>[X0: $tType] : $o ).

tff(pred_def_156,type,
    strict9044650504122735259up_add: 
      !>[X0: $tType] : $o ).

tff(pred_def_157,type,
    real_V5355595471888546746vector: 
      !>[X0: $tType] : $o ).

tff(pred_def_158,type,
    real_V4412858255891104859lgebra: 
      !>[X0: $tType] : $o ).

tff(pred_def_159,type,
    semiri6575147826004484403cancel: 
      !>[X0: $tType] : $o ).

tff(pred_def_160,type,
    euclid8851590272496341667cancel: 
      !>[X0: $tType] : $o ).

tff(pred_def_161,type,
    real_V2822296259951069270ebra_1: 
      !>[X0: $tType] : $o ).

tff(pred_def_162,type,
    unique1627219031080169319umeral: 
      !>[X0: $tType] : $o ).

tff(pred_def_163,type,
    comple592849572758109894attice: 
      !>[X0: $tType] : $o ).

tff(pred_def_164,type,
    real_V8999393235501362500lgebra: 
      !>[X0: $tType] : $o ).

tff(pred_def_165,type,
    topolo3112930676232923870pology: 
      !>[X0: $tType] : $o ).

tff(pred_def_166,type,
    euclid4440199948858584721cancel: 
      !>[X0: $tType] : $o ).

tff(pred_def_167,type,
    euclid3128863361964157862miring: 
      !>[X0: $tType] : $o ).

tff(pred_def_168,type,
    topolo8458572112393995274pology: 
      !>[X0: $tType] : $o ).

tff(pred_def_169,type,
    ordere1937475149494474687imp_le: 
      !>[X0: $tType] : $o ).

tff(pred_def_170,type,
    condit5016429287641298734tinuum: 
      !>[X0: $tType] : $o ).

tff(pred_def_171,type,
    euclid5411537665997757685th_nat: 
      !>[X0: $tType] : $o ).

tff(pred_def_172,type,
    counta3822494911875563373attice: 
      !>[X0: $tType] : $o ).

tff(pred_def_173,type,
    semiri1453513574482234551roduct: 
      !>[X0: $tType] : $o ).

tff(pred_def_174,type,
    bit_un5681908812861735899ations: 
      !>[X0: $tType] : $o ).

tff(pred_def_175,type,
    condit1219197933456340205attice: 
      !>[X0: $tType] : $o ).

tff(pred_def_176,type,
    condit6923001295902523014norder: 
      !>[X0: $tType] : $o ).

tff(pred_def_177,type,
    bNF_Ca7293521722713021262ofinal: 
      !>[X0: $tType] : ( ( set(X0) * set(product_prod(X0,X0)) ) > $o ) ).

tff(pred_def_178,type,
    bNF_Ca3754400796208372196lChain: 
      !>[X0: $tType,X1: $tType] : ( ( set(product_prod(X0,X0)) * fun(X0,X1) ) > $o ) ).

tff(pred_def_179,type,
    boolea2506097494486148201lgebra: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,X0)) * fun(X0,fun(X0,X0)) * fun(X0,X0) * X0 * X0 ) > $o ) ).

tff(pred_def_180,type,
    boolea3799213064322606851m_diff: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,X0)) * fun(X0,fun(X0,X0)) * fun(X0,X0) * X0 * X0 * fun(X0,fun(X0,X0)) ) > $o ) ).

tff(pred_def_181,type,
    comple1602240252501008431_chain: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,$o)) * set(X0) ) > $o ) ).

tff(pred_def_182,type,
    condit941137186595557371_above: 
      !>[X0: $tType] : ( set(X0) > $o ) ).

tff(pred_def_183,type,
    condit1013018076250108175_below: 
      !>[X0: $tType] : ( set(X0) > $o ) ).

tff(pred_def_184,type,
    differentiable: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * filter(X0) ) > $o ) ).

tff(pred_def_185,type,
    has_derivative: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * fun(X0,X1) * filter(X0) ) > $o ) ).

tff(pred_def_186,type,
    has_field_derivative: 
      !>[X0: $tType] : ( ( fun(X0,X0) * X0 * filter(X0) ) > $o ) ).

tff(pred_def_187,type,
    eucl_rel_int: ( int * int * product_prod(int,int) ) > $o ).

tff(pred_def_188,type,
    unique5940410009612947441es_aux: 
      !>[X0: $tType] : ( product_prod(X0,X0) > $o ) ).

tff(pred_def_189,type,
    eventually: 
      !>[X0: $tType] : ( ( fun(X0,$o) * filter(X0) ) > $o ) ).

tff(pred_def_190,type,
    filterlim: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * filter(X1) * filter(X0) ) > $o ) ).

tff(pred_def_191,type,
    finite6289374366891150609ommute: 
      !>[X0: $tType,X1: $tType] : ( fun(X0,fun(X1,X1)) > $o ) ).

tff(pred_def_192,type,
    finite4664212375090638736ute_on: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,fun(X1,X1)) ) > $o ) ).

tff(pred_def_193,type,
    finite673082921795544331dem_on: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,fun(X1,X1)) ) > $o ) ).

tff(pred_def_194,type,
    finite1890593828518410140dem_on: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,fun(X1,X1)) ) > $o ) ).

tff(pred_def_195,type,
    finite_folding_on: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,fun(X1,X1)) ) > $o ) ).

tff(pred_def_196,type,
    bij_betw: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * set(X0) * set(X1) ) > $o ) ).

tff(pred_def_197,type,
    inj_on: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * set(X0) ) > $o ) ).

tff(pred_def_198,type,
    strict_mono_on: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * set(X0) ) > $o ) ).

tff(pred_def_199,type,
    fun_is_measure: 
      !>[X0: $tType] : ( fun(X0,nat) > $o ) ).

tff(pred_def_200,type,
    fun_reduction_pair: 
      !>[X0: $tType] : ( product_prod(set(product_prod(X0,X0)),set(product_prod(X0,X0))) > $o ) ).

tff(pred_def_201,type,
    nO_MATCH: 
      !>[X0: $tType,X1: $tType] : ( ( X0 * X1 ) > $o ) ).

tff(pred_def_202,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_203,type,
    bfun: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * filter(X0) ) > $o ) ).

tff(pred_def_204,type,
    distinct: 
      !>[X0: $tType] : ( list(X0) > $o ) ).

tff(pred_def_205,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_206,type,
    lexordp: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,$o)) * list(X0) * list(X0) ) > $o ) ).

tff(pred_def_207,type,
    listrel1p: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,$o)) * list(X0) * list(X0) ) > $o ) ).

tff(pred_def_208,type,
    sorted_wrt: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,$o)) * list(X0) ) > $o ) ).

tff(pred_def_209,type,
    order_679001287576687338der_on: 
      !>[X0: $tType] : ( ( set(X0) * set(product_prod(X0,X0)) ) > $o ) ).

tff(pred_def_210,type,
    order_7125193373082350890der_on: 
      !>[X0: $tType] : ( ( set(X0) * set(product_prod(X0,X0)) ) > $o ) ).

tff(pred_def_211,type,
    order_antimono: 
      !>[X0: $tType,X1: $tType] : ( fun(X0,X1) > $o ) ).

tff(pred_def_212,type,
    order_mono: 
      !>[X0: $tType,X1: $tType] : ( fun(X0,X1) > $o ) ).

tff(pred_def_213,type,
    order_strict_mono: 
      !>[X0: $tType,X1: $tType] : ( fun(X0,X1) > $o ) ).

tff(pred_def_214,type,
    real_V3181309239436604168linear: 
      !>[X0: $tType,X1: $tType] : ( fun(X0,X1) > $o ) ).

tff(pred_def_215,type,
    irrefl: 
      !>[X0: $tType] : ( set(product_prod(X0,X0)) > $o ) ).

tff(pred_def_216,type,
    refl_on: 
      !>[X0: $tType] : ( ( set(X0) * set(product_prod(X0,X0)) ) > $o ) ).

tff(pred_def_217,type,
    total_on: 
      !>[X0: $tType] : ( ( set(X0) * set(product_prod(X0,X0)) ) > $o ) ).

tff(pred_def_218,type,
    summable: 
      !>[X0: $tType] : ( fun(nat,X0) > $o ) ).

tff(pred_def_219,type,
    sums: 
      !>[X0: $tType] : ( ( fun(nat,X0) * X0 ) > $o ) ).

tff(pred_def_220,type,
    is_singleton: 
      !>[X0: $tType] : ( set(X0) > $o ) ).

tff(pred_def_221,type,
    topolo3448309680560233919inuous: 
      !>[X0: $tType,X1: $tType] : ( ( filter(X0) * fun(X0,X1) ) > $o ) ).

tff(pred_def_222,type,
    topolo81223032696312382ous_on: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,X1) ) > $o ) ).

tff(pred_def_223,type,
    topological_monoseq: 
      !>[X0: $tType] : ( fun(nat,X0) > $o ) ).

tff(pred_def_224,type,
    topolo1002775350975398744n_open: 
      !>[X0: $tType] : ( set(X0) > $o ) ).

tff(pred_def_225,type,
    topolo7761053866217962861closed: 
      !>[X0: $tType] : ( set(X0) > $o ) ).

tff(pred_def_226,type,
    topolo2193935891317330818ompact: 
      !>[X0: $tType] : ( set(X0) > $o ) ).

tff(pred_def_227,type,
    topolo3814608138187158403Cauchy: 
      !>[X0: $tType] : ( fun(nat,X0) > $o ) ).

tff(pred_def_228,type,
    topolo6773858410816713723filter: 
      !>[X0: $tType] : ( filter(X0) > $o ) ).

tff(pred_def_229,type,
    topolo2479028161051973599mplete: 
      !>[X0: $tType] : ( set(X0) > $o ) ).

tff(pred_def_230,type,
    topolo6688025880775521714ounded: 
      !>[X0: $tType] : ( set(X0) > $o ) ).

tff(pred_def_231,type,
    topolo6026614971017936543ous_on: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,X1) ) > $o ) ).

tff(pred_def_232,type,
    vEBT_V5917875025757280293ildren: ( nat * list(vEBT_VEBT) * nat ) > $o ).

tff(pred_def_233,type,
    vEBT_VEBT_membermima: ( vEBT_VEBT * nat ) > $o ).

tff(pred_def_234,type,
    vEBT_V5719532721284313246member: ( vEBT_VEBT * nat ) > $o ).

tff(pred_def_235,type,
    vEBT_VEBT_valid: ( vEBT_VEBT * nat ) > $o ).

tff(pred_def_236,type,
    vEBT_invar_vebt: ( vEBT_VEBT * nat ) > $o ).

tff(pred_def_237,type,
    vEBT_VEBT_minNull: vEBT_VEBT > $o ).

tff(pred_def_238,type,
    vEBT_VEBT_greater: ( option(nat) * option(nat) ) > $o ).

tff(pred_def_239,type,
    vEBT_VEBT_less: ( option(nat) * option(nat) ) > $o ).

tff(pred_def_240,type,
    vEBT_VEBT_lesseq: ( option(nat) * option(nat) ) > $o ).

tff(pred_def_241,type,
    vEBT_VEBT_max_in_set: ( set(nat) * nat ) > $o ).

tff(pred_def_242,type,
    vEBT_VEBT_min_in_set: ( set(nat) * nat ) > $o ).

tff(pred_def_243,type,
    accp: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,$o)) * X0 ) > $o ) ).

tff(pred_def_244,type,
    wf: 
      !>[X0: $tType] : ( set(product_prod(X0,X0)) > $o ) ).

tff(pred_def_245,type,
    member: 
      !>[X0: $tType] : ( ( X0 * set(X0) ) > $o ) ).

tff(pred_def_247,type,
    ':=': 
      !>[X0: $tType] : ( ( X0 * X0 ) > $o ) ).

tff(pred_def_248,type,
    sP148: 
      !>[X0: $tType] : ( ( X0 * X0 * X0 ) > $o ) ).

tff(pred_def_249,type,
    sP149: 
      !>[X0: $tType] : ( ( X0 * X0 * X0 ) > $o ) ).

tff(pred_def_250,type,
    sP377: 
      !>[X0: $tType] : ( ( X0 * X0 ) > $o ) ).

tff(pred_def_251,type,
    sP378: 
      !>[X0: $tType] : ( ( X0 * fun(X0,$o) * fun(X0,$o) * fun(X0,$o) * fun(X0,$o) ) > $o ) ).

tff(pred_def_252,type,
    sP382: 
      !>[X0: $tType] : ( ( X0 * X0 ) > $o ) ).

tff(pred_def_253,type,
    sP383: 
      !>[X0: $tType] : ( ( X0 * fun(X0,$o) * fun(X0,$o) * fun(X0,$o) * fun(X0,$o) ) > $o ) ).

tff(pred_def_254,type,
    sP392: 
      !>[X0: $tType] : ( ( X0 * X0 ) > $o ) ).

tff(pred_def_255,type,
    sP393: 
      !>[X0: $tType] : ( ( X0 * fun(X0,$o) * fun(X0,$o) * fun(X0,$o) * fun(X0,$o) ) > $o ) ).

tff(pred_def_256,type,
    sP397: 
      !>[X0: $tType] : ( ( X0 * X0 ) > $o ) ).

tff(pred_def_257,type,
    sP398: 
      !>[X0: $tType] : ( ( X0 * fun(X0,$o) * fun(X0,$o) * fun(X0,$o) * fun(X0,$o) ) > $o ) ).

tff(pred_def_258,type,
    sK406: product_prod(vEBT_VEBT,nat) > $o ).

tff(pred_def_259,type,
    sK407: product_prod(vEBT_VEBT,nat) > $o ).

tff(pred_def_260,type,
    sK427: product_prod(vEBT_VEBT,nat) > $o ).

tff(pred_def_261,type,
    sK428: product_prod(vEBT_VEBT,nat) > $o ).

tff(pred_def_262,type,
    sP450: ( $o * $o ) > $o ).

tff(pred_def_263,type,
    sP451: ( $o * $o * $o * $o ) > $o ).

tff(pred_def_264,type,
    sP452: $o > $o ).

tff(pred_def_265,type,
    sP453: $o > $o ).

tff(pred_def_266,type,
    sP454: $o > $o ).

tff(pred_def_267,type,
    sK456: product_prod(vEBT_VEBT,nat) > $o ).

tff(pred_def_268,type,
    sK457: product_prod(vEBT_VEBT,nat) > $o ).

tff(pred_def_269,type,
    sK468: vEBT_VEBT > $o ).

tff(pred_def_270,type,
    sK469: vEBT_VEBT > $o ).

tff(pred_def_271,type,
    sK480: product_prod(vEBT_VEBT,nat) > $o ).

tff(pred_def_272,type,
    sK481: product_prod(vEBT_VEBT,nat) > $o ).

tff(pred_def_273,type,
    sP508: ( nat * nat * vEBT_VEBT * nat * list(vEBT_VEBT) * nat * vEBT_VEBT ) > $o ).

tff(pred_def_274,type,
    sP509: ( vEBT_VEBT * nat * list(vEBT_VEBT) * nat * vEBT_VEBT ) > $o ).

tff(pred_def_275,type,
    sP510: ( vEBT_VEBT * nat * list(vEBT_VEBT) * nat * vEBT_VEBT ) > $o ).

tff(pred_def_276,type,
    sP511: vEBT_VEBT > $o ).

tff(pred_def_277,type,
    sK514: vEBT_VEBT > $o ).

tff(pred_def_278,type,
    sK515: vEBT_VEBT > $o ).

tff(pred_def_279,type,
    sP526: ( nat * nat * nat * nat * list(vEBT_VEBT) ) > $o ).

tff(pred_def_280,type,
    sP527: ( vEBT_VEBT * list(vEBT_VEBT) ) > $o ).

tff(pred_def_281,type,
    sP530: ( nat * list(vEBT_VEBT) ) > $o ).

tff(pred_def_282,type,
    sP531: ( nat * vEBT_VEBT ) > $o ).

tff(pred_def_283,type,
    sP532: ( nat * nat * nat * nat * list(vEBT_VEBT) ) > $o ).

tff(pred_def_284,type,
    sP533: ( vEBT_VEBT * list(vEBT_VEBT) ) > $o ).

tff(pred_def_285,type,
    sP538: ( nat * list(vEBT_VEBT) ) > $o ).

tff(pred_def_286,type,
    sP539: ( nat * vEBT_VEBT ) > $o ).

tff(pred_def_287,type,
    sK568: vEBT_VEBT > $o ).

tff(pred_def_288,type,
    sK569: vEBT_VEBT > $o ).

tff(pred_def_289,type,
    sP570: ( nat * nat * vEBT_VEBT * nat * list(vEBT_VEBT) * nat * vEBT_VEBT ) > $o ).

tff(pred_def_290,type,
    sP571: ( nat * nat * nat * nat * vEBT_VEBT * nat * list(vEBT_VEBT) * nat * vEBT_VEBT ) > $o ).

tff(pred_def_291,type,
    sP572: ( nat * nat * nat * nat * vEBT_VEBT * nat * list(vEBT_VEBT) * nat * vEBT_VEBT ) > $o ).

tff(pred_def_292,type,
    sP573: ( $o * $o * vEBT_VEBT ) > $o ).

tff(pred_def_293,type,
    sK576: vEBT_VEBT > $o ).

tff(pred_def_294,type,
    sK577: vEBT_VEBT > $o ).

tff(pred_def_295,type,
    sP589: ( vEBT_VEBT * list(vEBT_VEBT) ) > $o ).

tff(pred_def_296,type,
    sP590: ( nat * nat * nat * nat * nat * list(vEBT_VEBT) ) > $o ).

tff(pred_def_297,type,
    sP591: ( nat * list(vEBT_VEBT) ) > $o ).

tff(pred_def_298,type,
    sP592: ( nat * vEBT_VEBT ) > $o ).

tff(pred_def_299,type,
    sK596: vEBT_VEBT > $o ).

tff(pred_def_300,type,
    sK597: vEBT_VEBT > $o ).

tff(pred_def_301,type,
    sP609: ( vEBT_VEBT * list(vEBT_VEBT) ) > $o ).

tff(pred_def_302,type,
    sP610: ( nat * nat * nat * nat * nat * list(vEBT_VEBT) ) > $o ).

tff(pred_def_303,type,
    sP611: ( nat * list(vEBT_VEBT) ) > $o ).

tff(pred_def_304,type,
    sP612: ( nat * vEBT_VEBT ) > $o ).

tff(pred_def_305,type,
    sK616: vEBT_VEBT > $o ).

tff(pred_def_306,type,
    sK617: vEBT_VEBT > $o ).

tff(pred_def_307,type,
    sP626: ( $o * vEBT_VEBT ) > $o ).

tff(pred_def_308,type,
    sP627: ( $o * vEBT_VEBT ) > $o ).

tff(pred_def_309,type,
    sP628: $o > $o ).

tff(pred_def_310,type,
    sK629: vEBT_VEBT > $o ).

tff(pred_def_311,type,
    sK630: vEBT_VEBT > $o ).

tff(pred_def_312,type,
    sP631: ( $o * vEBT_VEBT ) > $o ).

tff(pred_def_313,type,
    sP639: $o > $o ).

tff(pred_def_314,type,
    sK641: vEBT_VEBT > $o ).

tff(pred_def_315,type,
    sK642: vEBT_VEBT > $o ).

tff(pred_def_316,type,
    sK643: vEBT_VEBT > $o ).

tff(pred_def_317,type,
    sK644: vEBT_VEBT > $o ).

tff(pred_def_318,type,
    sK645: vEBT_VEBT > $o ).

tff(pred_def_319,type,
    sK646: vEBT_VEBT > $o ).

tff(pred_def_320,type,
    sP648: $o > $o ).

tff(pred_def_321,type,
    sP649: $o > $o ).

tff(pred_def_322,type,
    sP650: $o > $o ).

tff(pred_def_323,type,
    sP651: $o > $o ).

tff(pred_def_324,type,
    sK654: ( vEBT_VEBT * option(nat) ) > $o ).

tff(pred_def_325,type,
    sK655: ( vEBT_VEBT * option(nat) ) > $o ).

tff(pred_def_326,type,
    sP661: ( nat * nat * vEBT_VEBT ) > $o ).

tff(pred_def_327,type,
    sP662: $o > $o ).

tff(pred_def_328,type,
    sP663: $o > $o ).

tff(pred_def_329,type,
    sK667: ( vEBT_VEBT * option(nat) ) > $o ).

tff(pred_def_330,type,
    sK668: ( vEBT_VEBT * option(nat) ) > $o ).

tff(pred_def_331,type,
    sP673: ( nat * vEBT_VEBT ) > $o ).

tff(pred_def_332,type,
    sP674: $o > $o ).

tff(pred_def_333,type,
    sP675: $o > $o ).

tff(pred_def_334,type,
    sP692: ( int * int * int * int * fun(int,$o) ) > $o ).

tff(pred_def_335,type,
    sP737: $o > $o ).

tff(pred_def_336,type,
    sP738: $o > $o ).

tff(pred_def_337,type,
    sP739: $o > $o ).

tff(pred_def_338,type,
    sP740: $o > $o ).

tff(pred_def_339,type,
    sP744: $o > $o ).

tff(pred_def_340,type,
    sP745: $o > $o ).

tff(pred_def_341,type,
    sP746: $o > $o ).

tff(pred_def_342,type,
    sP747: $o > $o ).

tff(pred_def_343,type,
    sP760: $o > $o ).

tff(pred_def_344,type,
    sP761: $o > $o ).

tff(pred_def_345,type,
    sP790: ( int * int * int * int * fun(int,$o) ) > $o ).

tff(pred_def_346,type,
    sK793: 
      !>[X0: $tType] : ( fun(X0,$o) > $o ) ).

tff(pred_def_347,type,
    sP873: fun(int,$o) > $o ).

tff(pred_def_348,type,
    sP874: ( set(int) * fun(int,$o) * fun(int,$o) * int ) > $o ).

tff(pred_def_349,type,
    sP875: ( int * int * fun(int,$o) * fun(int,$o) ) > $o ).

tff(pred_def_350,type,
    sP876: ( int * fun(int,$o) ) > $o ).

tff(pred_def_351,type,
    sP877: ( int * int * fun(int,$o) * int ) > $o ).

tff(pred_def_352,type,
    sP886: fun(int,$o) > $o ).

tff(pred_def_353,type,
    sP887: ( set(int) * fun(int,$o) * fun(int,$o) * int ) > $o ).

tff(pred_def_354,type,
    sP888: ( int * int * fun(int,$o) * fun(int,$o) ) > $o ).

tff(pred_def_355,type,
    sP889: ( int * fun(int,$o) ) > $o ).

tff(pred_def_356,type,
    sP890: ( int * int * fun(int,$o) * int ) > $o ).

tff(pred_def_357,type,
    sK908: ( vEBT_VEBT * nat * $o ) > $o ).

tff(pred_def_358,type,
    sK909: ( vEBT_VEBT * nat * $o ) > $o ).

tff(pred_def_359,type,
    sP910: ( $o * nat * vEBT_VEBT ) > $o ).

tff(pred_def_360,type,
    sP911: ( nat * vEBT_VEBT ) > $o ).

tff(pred_def_361,type,
    sP912: $o > $o ).

tff(pred_def_362,type,
    sP913: ( $o * $o * $o * nat * vEBT_VEBT ) > $o ).

tff(pred_def_363,type,
    sK936: ( vEBT_VEBT * nat * $o ) > $o ).

tff(pred_def_364,type,
    sK937: ( vEBT_VEBT * nat * $o ) > $o ).

tff(pred_def_365,type,
    sP944: ( list(vEBT_VEBT) * nat * option(product_prod(nat,nat)) * vEBT_VEBT ) > $o ).

tff(pred_def_366,type,
    sP945: ( list(vEBT_VEBT) * nat * $o * nat ) > $o ).

tff(pred_def_367,type,
    sP946: $o > $o ).

tff(pred_def_368,type,
    sP947: $o > $o ).

tff(pred_def_369,type,
    sP948: $o > $o ).

tff(pred_def_370,type,
    sP949: ( $o * $o * nat ) > $o ).

tff(pred_def_371,type,
    sK951: ( vEBT_VEBT * nat ) > $o ).

tff(pred_def_372,type,
    sK952: ( vEBT_VEBT * nat ) > $o ).

tff(pred_def_373,type,
    sP957: ( list(vEBT_VEBT) * nat * nat ) > $o ).

tff(pred_def_374,type,
    sK958: ( vEBT_VEBT * nat ) > $o ).

tff(pred_def_375,type,
    sK959: ( vEBT_VEBT * nat ) > $o ).

tff(pred_def_376,type,
    sP967: ( list(vEBT_VEBT) * nat * nat ) > $o ).

tff(pred_def_377,type,
    sP980: ( list(vEBT_VEBT) * nat * nat ) > $o ).

tff(pred_def_378,type,
    sP981: ( list(vEBT_VEBT) * nat * nat ) > $o ).

tff(pred_def_379,type,
    sK982: ( vEBT_VEBT * nat ) > $o ).

tff(pred_def_380,type,
    sK983: ( vEBT_VEBT * nat ) > $o ).

tff(pred_def_381,type,
    sP989: $o > $o ).

tff(pred_def_382,type,
    sP990: $o > $o ).

tff(pred_def_383,type,
    sP991: ( nat * nat ) > $o ).

tff(pred_def_384,type,
    sP992: ( nat * nat ) > $o ).

tff(pred_def_385,type,
    sP993: ( list(vEBT_VEBT) * nat * nat ) > $o ).

tff(pred_def_386,type,
    sK994: vEBT_VEBT > $o ).

tff(pred_def_387,type,
    sK995: vEBT_VEBT > $o ).

tff(pred_def_388,type,
    sP1006: ( list(vEBT_VEBT) * nat * nat * nat * nat * vEBT_VEBT ) > $o ).

tff(pred_def_389,type,
    sP1007: ( list(vEBT_VEBT) * nat * nat * vEBT_VEBT ) > $o ).

tff(pred_def_390,type,
    sP1008: $o > $o ).

tff(pred_def_391,type,
    sP1009: $o > $o ).

tff(pred_def_392,type,
    sK1022: vEBT_VEBT > $o ).

tff(pred_def_393,type,
    sK1023: vEBT_VEBT > $o ).

tff(pred_def_394,type,
    sP1026: ( list(vEBT_VEBT) * nat * nat * nat * $o * nat * vEBT_VEBT ) > $o ).

tff(pred_def_395,type,
    sP1027: ( list(vEBT_VEBT) * nat * $o * nat * vEBT_VEBT ) > $o ).

tff(pred_def_396,type,
    sP1028: ( nat * nat * vEBT_VEBT ) > $o ).

tff(pred_def_397,type,
    sP1029: ( nat * nat * $o * nat ) > $o ).

tff(pred_def_398,type,
    sP1030: $o > $o ).

tff(pred_def_399,type,
    sP1031: $o > $o ).

tff(pred_def_400,type,
    sK1036: ( vEBT_VEBT * nat ) > $o ).

tff(pred_def_401,type,
    sK1037: ( vEBT_VEBT * nat ) > $o ).

tff(pred_def_402,type,
    sP1052: $o > $o ).

tff(pred_def_403,type,
    sP1053: $o > $o ).

tff(pred_def_404,type,
    sP1054: ( nat * nat ) > $o ).

tff(pred_def_405,type,
    sP1055: ( nat * nat ) > $o ).

tff(pred_def_406,type,
    sP1056: ( list(vEBT_VEBT) * nat * nat ) > $o ).

tff(pred_def_407,type,
    sK1057: ( vEBT_VEBT * nat * $o ) > $o ).

tff(pred_def_408,type,
    sK1058: ( vEBT_VEBT * nat * $o ) > $o ).

tff(pred_def_409,type,
    sP1073: ( vEBT_VEBT * list(vEBT_VEBT) * product_prod(nat,nat) * $o * nat * vEBT_VEBT ) > $o ).

tff(pred_def_410,type,
    sP1074: ( vEBT_VEBT * list(vEBT_VEBT) * product_prod(nat,nat) * $o * nat * vEBT_VEBT ) > $o ).

tff(pred_def_411,type,
    sP1075: ( vEBT_VEBT * list(vEBT_VEBT) * nat * nat * nat * $o * nat * vEBT_VEBT ) > $o ).

tff(pred_def_412,type,
    sP1076: $o > $o ).

tff(pred_def_413,type,
    sP1077: $o > $o ).

tff(pred_def_414,type,
    sP1078: $o > $o ).

tff(pred_def_415,type,
    sP1079: $o > $o ).

tff(pred_def_416,type,
    sP1080: ( $o * $o * nat ) > $o ).

tff(pred_def_417,type,
    sP1081: $o > $o ).

tff(pred_def_418,type,
    sP1082: $o > $o ).

tff(pred_def_419,type,
    sK1083: ( vEBT_VEBT * nat ) > $o ).

tff(pred_def_420,type,
    sK1084: ( vEBT_VEBT * nat ) > $o ).

tff(pred_def_421,type,
    sP1099: ( vEBT_VEBT * list(vEBT_VEBT) * product_prod(nat,nat) * nat * vEBT_VEBT ) > $o ).

tff(pred_def_422,type,
    sP1100: ( vEBT_VEBT * list(vEBT_VEBT) * nat * nat * nat * nat * vEBT_VEBT ) > $o ).

tff(pred_def_423,type,
    sP1101: $o > $o ).

tff(pred_def_424,type,
    sP1102: $o > $o ).

tff(pred_def_425,type,
    sP1103: $o > $o ).

tff(pred_def_426,type,
    sP1104: $o > $o ).

tff(pred_def_427,type,
    sK1105: ( vEBT_VEBT * nat ) > $o ).

tff(pred_def_428,type,
    sK1106: ( vEBT_VEBT * nat ) > $o ).

tff(pred_def_429,type,
    sP1112: ( list(vEBT_VEBT) * nat * nat * nat * nat ) > $o ).

tff(pred_def_430,type,
    sP1113: $o > $o ).

tff(pred_def_431,type,
    sP1114: $o > $o ).

tff(pred_def_432,type,
    sP1115: $o > $o ).

tff(pred_def_433,type,
    sP1116: $o > $o ).

tff(pred_def_434,type,
    sK1117: ( vEBT_VEBT * nat * $o ) > $o ).

tff(pred_def_435,type,
    sK1118: ( vEBT_VEBT * nat * $o ) > $o ).

tff(pred_def_436,type,
    sP1126: ( vEBT_VEBT * list(vEBT_VEBT) * nat * option(product_prod(nat,nat)) * $o * nat * vEBT_VEBT ) > $o ).

tff(pred_def_437,type,
    sP1127: $o > $o ).

tff(pred_def_438,type,
    sP1128: $o > $o ).

tff(pred_def_439,type,
    sP1129: $o > $o ).

tff(pred_def_440,type,
    sP1130: $o > $o ).

tff(pred_def_441,type,
    sP1131: ( $o * $o * nat ) > $o ).

tff(pred_def_442,type,
    sP1132: $o > $o ).

tff(pred_def_443,type,
    sP1133: $o > $o ).

tff(pred_def_444,type,
    sK1134: ( vEBT_VEBT * nat ) > $o ).

tff(pred_def_445,type,
    sK1135: ( vEBT_VEBT * nat ) > $o ).

tff(pred_def_446,type,
    sP1140: ( list(vEBT_VEBT) * nat * nat ) > $o ).

tff(pred_def_447,type,
    sP1141: $o > $o ).

tff(pred_def_448,type,
    sP1142: $o > $o ).

tff(pred_def_449,type,
    sP1143: $o > $o ).

tff(pred_def_450,type,
    sP1144: $o > $o ).

tff(pred_def_451,type,
    sK1145: ( vEBT_VEBT * nat ) > $o ).

tff(pred_def_452,type,
    sK1146: ( vEBT_VEBT * nat ) > $o ).

tff(pred_def_453,type,
    sP1154: ( list(vEBT_VEBT) * nat * nat ) > $o ).

tff(pred_def_454,type,
    sP1155: $o > $o ).

tff(pred_def_455,type,
    sP1156: $o > $o ).

tff(pred_def_456,type,
    sP1157: $o > $o ).

tff(pred_def_457,type,
    sP1158: $o > $o ).

tff(pred_def_458,type,
    sK1159: ( vEBT_VEBT * nat ) > $o ).

tff(pred_def_459,type,
    sK1160: ( vEBT_VEBT * nat ) > $o ).

tff(pred_def_460,type,
    sP1175: ( vEBT_VEBT * list(vEBT_VEBT) * nat * nat * nat * nat * vEBT_VEBT ) > $o ).

tff(pred_def_461,type,
    sP1176: ( vEBT_VEBT * list(vEBT_VEBT) * nat * nat * vEBT_VEBT ) > $o ).

tff(pred_def_462,type,
    sP1177: $o > $o ).

tff(pred_def_463,type,
    sP1178: $o > $o ).

tff(pred_def_464,type,
    sP1179: $o > $o ).

tff(pred_def_465,type,
    sP1180: $o > $o ).

tff(pred_def_466,type,
    sK1181: ( vEBT_VEBT * nat * $o ) > $o ).

tff(pred_def_467,type,
    sK1182: ( vEBT_VEBT * nat * $o ) > $o ).

tff(pred_def_468,type,
    sP1197: ( vEBT_VEBT * list(vEBT_VEBT) * nat * nat * $o * nat * vEBT_VEBT ) > $o ).

tff(pred_def_469,type,
    sP1198: ( vEBT_VEBT * list(vEBT_VEBT) * nat * nat * nat * $o * nat * vEBT_VEBT ) > $o ).

tff(pred_def_470,type,
    sP1199: ( vEBT_VEBT * list(vEBT_VEBT) * nat * $o * nat * vEBT_VEBT ) > $o ).

tff(pred_def_471,type,
    sP1200: $o > $o ).

tff(pred_def_472,type,
    sP1201: $o > $o ).

tff(pred_def_473,type,
    sP1202: $o > $o ).

tff(pred_def_474,type,
    sP1203: $o > $o ).

tff(pred_def_475,type,
    sP1204: $o > $o ).

tff(pred_def_476,type,
    sP1217: ( vEBT_VEBT * list(vEBT_VEBT) * nat * nat * vEBT_VEBT ) > $o ).

tff(pred_def_477,type,
    sP1218: ( vEBT_VEBT * nat ) > $o ).

tff(pred_def_478,type,
    sP1272: 
      !>[X0: $tType,X1: $tType] : ( ( X1 * fun(X1,X0) * set(X1) ) > $o ) ).

tff(pred_def_479,type,
    sP1273: 
      !>[X0: $tType,X1: $tType] : ( ( X0 * fun(X0,X1) * set(X0) ) > $o ) ).

tff(pred_def_480,type,
    sP1274: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( X2 * fun(X0,X1) * fun(X2,X1) * fun(X2,X0) * set(X2) ) > $o ) ).

tff(pred_def_481,type,
    sP1427: 
      !>[X0: $tType,X1: $tType] : ( ( X1 * fun(X1,X0) * set(X1) ) > $o ) ).

tff(pred_def_482,type,
    sP1428: 
      !>[X0: $tType,X1: $tType] : ( ( X0 * fun(X0,X1) * set(X0) ) > $o ) ).

tff(pred_def_483,type,
    sP1429: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( X2 * fun(X0,X1) * fun(X2,X1) * fun(X2,X0) * set(X2) ) > $o ) ).

tff(pred_def_484,type,
    sP1493: ( int * product_prod(int,int) * int * int ) > $o ).

tff(pred_def_485,type,
    sK1525: ( vEBT_VEBT * option(nat) ) > $o ).

tff(pred_def_486,type,
    sK1526: ( vEBT_VEBT * option(nat) ) > $o ).

tff(pred_def_487,type,
    sP1535: ( vEBT_VEBT * list(vEBT_VEBT) * nat * nat * nat * option(nat) * vEBT_VEBT ) > $o ).

tff(pred_def_488,type,
    sP1536: $o > $o ).

tff(pred_def_489,type,
    sP1537: $o > $o ).

tff(pred_def_490,type,
    sP1538: $o > $o ).

tff(pred_def_491,type,
    sP1539: $o > $o ).

tff(pred_def_492,type,
    sK1548: ( vEBT_VEBT * option(nat) ) > $o ).

tff(pred_def_493,type,
    sK1549: ( vEBT_VEBT * option(nat) ) > $o ).

tff(pred_def_494,type,
    sP1558: ( vEBT_VEBT * list(vEBT_VEBT) * nat * nat * nat * option(nat) * vEBT_VEBT ) > $o ).

tff(pred_def_495,type,
    sP1559: $o > $o ).

tff(pred_def_496,type,
    sP1560: $o > $o ).

tff(pred_def_497,type,
    sP1561: $o > $o ).

tff(pred_def_498,type,
    sP1562: $o > $o ).

tff(pred_def_499,type,
    sK1563: ( vEBT_VEBT * $o ) > $o ).

tff(pred_def_500,type,
    sK1564: ( vEBT_VEBT * $o ) > $o ).

tff(pred_def_501,type,
    sP1572: ( $o * $o * vEBT_VEBT ) > $o ).

tff(pred_def_502,type,
    sP1573: ( vEBT_VEBT * list(vEBT_VEBT) * nat * $o * vEBT_VEBT ) > $o ).

tff(pred_def_503,type,
    sP1574: ( vEBT_VEBT * list(vEBT_VEBT) * nat * product_prod(nat,nat) * $o * vEBT_VEBT ) > $o ).

tff(pred_def_504,type,
    sP1575: $o > $o ).

tff(pred_def_505,type,
    sP1576: $o > $o ).

tff(pred_def_506,type,
    sK1580: vEBT_VEBT > $o ).

tff(pred_def_507,type,
    sK1581: vEBT_VEBT > $o ).

tff(pred_def_508,type,
    sP1586: $o > $o ).

tff(pred_def_509,type,
    sP1587: $o > $o ).

tff(pred_def_510,type,
    sP1588: $o > $o ).

tff(pred_def_511,type,
    sP1589: $o > $o ).

tff(pred_def_512,type,
    sP1701: ( fun(int,$o) * int * int ) > $o ).

tff(pred_def_513,type,
    sP1702: ( fun(int,$o) * int * int ) > $o ).

tff(pred_def_514,type,
    sP1703: ( fun(int,$o) * int * int ) > $o ).

tff(pred_def_515,type,
    sK1794: vEBT_VEBT > $o ).

tff(pred_def_516,type,
    sK1795: vEBT_VEBT > $o ).

tff(pred_def_517,type,
    sP1797: ( vEBT_VEBT * list(vEBT_VEBT) * nat ) > $o ).

tff(pred_def_518,type,
    sP1798: ( vEBT_VEBT * list(vEBT_VEBT) ) > $o ).

tff(pred_def_519,type,
    sP1813: ( nat * vEBT_VEBT ) > $o ).

tff(pred_def_520,type,
    sK1819: vEBT_VEBT > $o ).

tff(pred_def_521,type,
    sK1820: vEBT_VEBT > $o ).

tff(pred_def_522,type,
    sP1821: ( vEBT_VEBT * list(vEBT_VEBT) * nat * option(product_prod(nat,nat)) * $o * nat ) > $o ).

tff(pred_def_523,type,
    sP1822: $o > $o ).

tff(pred_def_524,type,
    sP1823: $o > $o ).

tff(pred_def_525,type,
    sP1827: ( nat * vEBT_VEBT ) > $o ).

tff(pred_def_526,type,
    sK1833: vEBT_VEBT > $o ).

tff(pred_def_527,type,
    sK1834: vEBT_VEBT > $o ).

tff(pred_def_528,type,
    sP1835: $o > $o ).

tff(pred_def_529,type,
    sP1836: $o > $o ).

tff(pred_def_530,type,
    sP1837: ( vEBT_VEBT * list(vEBT_VEBT) ) > $o ).

tff(pred_def_531,type,
    sK1841: ( vEBT_VEBT * nat * $o ) > $o ).

tff(pred_def_532,type,
    sK1842: ( vEBT_VEBT * nat * $o ) > $o ).

tff(pred_def_533,type,
    sP1847: ( vEBT_VEBT * list(vEBT_VEBT) * nat * option(product_prod(nat,nat)) * $o * nat ) > $o ).

tff(pred_def_534,type,
    sP1848: $o > $o ).

tff(pred_def_535,type,
    sP1849: $o > $o ).

tff(pred_def_536,type,
    sP1850: $o > $o ).

tff(pred_def_537,type,
    sP1851: $o > $o ).

tff(pred_def_538,type,
    sP1852: $o > $o ).

tff(pred_def_539,type,
    sP1856: ( nat * vEBT_VEBT ) > $o ).

tff(pred_def_540,type,
    sK1858: ( vEBT_VEBT * nat ) > $o ).

tff(pred_def_541,type,
    sK1859: ( vEBT_VEBT * nat ) > $o ).

tff(pred_def_542,type,
    sP1864: ( vEBT_VEBT * list(vEBT_VEBT) * nat * option(product_prod(nat,nat)) ) > $o ).

tff(pred_def_543,type,
    sP1865: $o > $o ).

tff(pred_def_544,type,
    sP1866: $o > $o ).

tff(pred_def_545,type,
    sP1867: $o > $o ).

tff(pred_def_546,type,
    sP1868: $o > $o ).

tff(pred_def_547,type,
    sK1872: ( vEBT_VEBT * nat ) > $o ).

tff(pred_def_548,type,
    sK1873: ( vEBT_VEBT * nat ) > $o ).

tff(pred_def_549,type,
    sP1878: ( vEBT_VEBT * list(vEBT_VEBT) * nat * option(product_prod(nat,nat)) * nat ) > $o ).

tff(pred_def_550,type,
    sP1879: $o > $o ).

tff(pred_def_551,type,
    sP1880: $o > $o ).

tff(pred_def_552,type,
    sP1881: $o > $o ).

tff(pred_def_553,type,
    sP1882: $o > $o ).

tff(pred_def_554,type,
    sP2015: ( real * real * nat ) > $o ).

tff(pred_def_555,type,
    sP2113: ( real * fun(real,real) * fun(real,real) * real * real ) > $o ).

tff(pred_def_556,type,
    sP2114: ( real * fun(real,real) * fun(real,real) * real * real ) > $o ).

tff(pred_def_557,type,
    sP2115: ( real * fun(real,real) * fun(real,real) * fun(real,real) * fun(real,real) * real * real ) > $o ).

tff(pred_def_558,type,
    sP2215: 
      !>[X0: $tType] : ( ( X0 * X0 * fun(X0,$o) ) > $o ) ).

tff(pred_def_559,type,
    sP2344: ( real * fun(real,real) * real * real ) > $o ).

tff(pred_def_560,type,
    sP2345: ( real * fun(real,real) * real * real ) > $o ).

tff(pred_def_561,type,
    sP2346: ( real * real * real * fun(real,real) * fun(real,real) * real * real ) > $o ).

tff(pred_def_562,type,
    sP2409: 
      !>[X0: $tType] : ( ( X0 * X0 * fun(X0,$o) ) > $o ) ).

tff(pred_def_563,type,
    sP2786: 
      !>[X0: $tType] : ( ( list(X0) * X0 * list(X0) * X0 * list(X0) * list(X0) ) > $o ) ).

tff(pred_def_564,type,
    sP3012: 
      !>[X0: $tType] : ( ( list(list(X0)) * list(X0) * X0 * list(list(X0)) * list(list(X0)) ) > $o ) ).

tff(pred_def_565,type,
    sP3021: 
      !>[X0: $tType] : ( ( list(X0) * X0 * X0 * list(X0) * list(X0) ) > $o ) ).

tff(pred_def_566,type,
    sP3222: ( option(num) * num * num ) > $o ).

tff(pred_def_567,type,
    sP3223: ( option(num) * num * num ) > $o ).

tff(pred_def_568,type,
    sP3224: ( option(num) * num * num ) > $o ).

tff(pred_def_569,type,
    sP3225: ( option(num) * num * num ) > $o ).

tff(pred_def_570,type,
    sP3226: ( option(num) * num * num ) > $o ).

tff(pred_def_571,type,
    sP3227: ( option(num) * num * num ) > $o ).

tff(pred_def_572,type,
    sP3228: ( option(num) * num * num ) > $o ).

tff(pred_def_573,type,
    sP3251: ( option(num) * num * num ) > $o ).

tff(pred_def_574,type,
    sP3252: ( option(num) * num * num ) > $o ).

tff(pred_def_575,type,
    sP3253: ( option(num) * num * num ) > $o ).

tff(pred_def_576,type,
    sP3254: ( option(num) * num * num ) > $o ).

tff(pred_def_577,type,
    sP3255: ( option(num) * num * num ) > $o ).

tff(pred_def_578,type,
    sP3256: ( option(num) * num * num ) > $o ).

tff(pred_def_579,type,
    sP3257: ( option(num) * num * num ) > $o ).

tff(pred_def_580,type,
    sP3270: ( option(num) * num * num ) > $o ).

tff(pred_def_581,type,
    sP3271: ( option(num) * num * num ) > $o ).

tff(pred_def_582,type,
    sP3272: ( option(num) * num * num ) > $o ).

tff(pred_def_583,type,
    sP3273: ( option(num) * num * num ) > $o ).

tff(pred_def_584,type,
    sP3274: ( option(num) * num * num ) > $o ).

tff(pred_def_585,type,
    sP3275: ( option(num) * num * num ) > $o ).

tff(pred_def_586,type,
    sP3284: ( num * option(num) * num ) > $o ).

tff(pred_def_587,type,
    sP3351: 
      !>[X0: $tType] : ( ( list(X0) * X0 * list(X0) * list(X0) ) > $o ) ).

tff(pred_def_588,type,
    sP3415: 
      !>[X0: $tType] : ( ( list(X0) * X0 * list(X0) * list(X0) ) > $o ) ).

tff(pred_def_589,type,
    sP3427: ( nat * list(vEBT_VEBT) ) > $o ).

tff(pred_def_590,type,
    sP3428: ( nat * vEBT_VEBT ) > $o ).

tff(f1,axiom,
    ? [X7: nat] : aa(nat,$o,vEBT_V8194947554948674370ptions(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,treeList),maxs)),X7),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_0__092_060open_062_092_060exists_062x_O_Aboth__member__options_A_ItreeList_A_B_Amaxs_J_Ax_092_060close_062) ).

tff(f10021,axiom,
    ! [X0: nat] :
      ( aa(nat,$o,vEBT_V8194947554948674370ptions(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,treeList),maxs)),X0)
     => thesis ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0) ).

tff(f10022,conjecture,
    thesis,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_1) ).

tff(f10023,negated_conjecture,
    ~ thesis,
    inference(negated_conjecture,[status(cth)],[f10022]) ).

tff(f10024,plain,
    ? [X0: nat] : aa(nat,$o,vEBT_V8194947554948674370ptions(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,treeList),maxs)),X0),
    inference(rectify,[],[f1]) ).

tff(f14950,plain,
    ! [X0: nat] :
      ( aa(nat,$o,vEBT_V8194947554948674370ptions(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,treeList),maxs)),X0)
     => thesis ),
    inference(rectify,[],[f10021]) ).

tff(f14951,plain,
    ~ thesis,
    inference(flattening,[],[f10023]) ).

tff(f24012,plain,
    ! [X0: nat] :
      ( thesis
      | ~ aa(nat,$o,vEBT_V8194947554948674370ptions(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,treeList),maxs)),X0) ),
    inference(ennf_transformation,[],[f14950]) ).

tff(f24013,plain,
    $true = aa(nat,$o,vEBT_V8194947554948674370ptions(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,treeList),maxs)),sK65),
    inference(cnf_transformation,[],[f10024]) ).

tff(f45023,plain,
    ! [X0: nat] :
      ( ( aa(nat,$o,vEBT_V8194947554948674370ptions(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,treeList),maxs)),X0) != $true )
      | thesis ),
    inference(cnf_transformation,[],[f24012]) ).

tff(f45024,plain,
    ~ thesis,
    inference(cnf_transformation,[],[f14951]) ).

tff(f60425,plain,
    ! [X0: nat] :
      ( ( aa(nat,$o,vEBT_V8194947554948674370ptions(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,treeList),maxs)),X0) != $true )
      | ~ thesis ),
    inference(consistent_polarity_flipping,[],[f45023]) ).

tff(f60426,plain,
    thesis,
    inference(consistent_polarity_flipping,[],[f45024]) ).

tff(f60448,definition,
    ( spl3431_1
  <=> thesis ),
    introduced(definition,[new_symbols(definition,[spl3431_1])],[avatar_definition]) ).

tff(f60452,definition,
    ( spl3431_2
  <=> ! [X0: nat] : ( aa(nat,$o,vEBT_V8194947554948674370ptions(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,treeList),maxs)),X0) != $true ) ),
    introduced(definition,[new_symbols(definition,[spl3431_2])],[avatar_definition]) ).

tff(f60453,plain,
    ( ! [X0: nat] : ( aa(nat,$o,vEBT_V8194947554948674370ptions(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,treeList),maxs)),X0) != $true )
    | ~ spl3431_2 ),
    inference(avatar_component_clause,[],[f60452]) ).

tff(f60454,plain,
    ( ~ spl3431_1
    | spl3431_2 ),
    inference(avatar_split_clause,[],[f60425,f60452,f60448]) ).

tff(f73837,plain,
    spl3431_1,
    inference(avatar_split_clause,[],[f60426,f60448]) ).

tff(f79728,plain,
    ( $false
    | ~ spl3431_2 ),
    inference(forward_subsumption_resolution,[],[f24013,f60453]) ).

tff(f79729,plain,
    ~ spl3431_2,
    inference(avatar_contradiction_clause,[],[f79728]) ).

cnf(s1,plain,
    ( ~ spl3431_1
    | spl3431_2 ),
    inference(sat_conversion,[],[f60454]) ).

cnf(s3287,plain,
    spl3431_1,
    inference(sat_conversion,[],[f73837]) ).

cnf(s3892,plain,
    ~ spl3431_2,
    inference(sat_conversion,[],[f79729]) ).

cnf(s4865,plain,
    $false,
    inference(rat,[],[s1,s3892,s3287]) ).

tff(f79730,plain,
    $false,
    inference(avatar_sat_refutation,[],[s4865]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04  % Problem  : ITP236_4 : TPTP v9.3.1. Bugfixed v9.3.0.
% 0.00/0.09  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.19/0.46  % Computer : n011.cluster.edu
% 0.19/0.46  % Model    : x86_64 x86_64
% 0.19/0.46  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.19/0.46  % Memory   : 8046.5625MB
% 0.19/0.46  % OS       : Linux 6.8.0-71-generic
% 0.19/0.46  % CPULimit : 300
% 0.19/0.46  % WCLimit  : 300
% 0.19/0.46  % DateTime : Sun Sep 27 12:32:02 UTC 2026
% 0.19/0.46  % CPUTime  : 
% 0.19/0.46  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.23/0.52  Running first-order model finding
% 0.23/0.52  Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 13.65/3.37  % (2336980)Will run a generic schedule for satisfiability detection.
% 13.65/3.37  % (2337036)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1800447747:i=116_2990 on theBenchmark for (2990ds/116Mi)
% 13.65/3.37  % (2337033)% WARNING: option uhcvi not known.
% 13.65/3.37  % (2337033)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=630548969:i=135531:add=off:rawr=on_2990 on theBenchmark for (2990ds/135531Mi)
% 13.65/3.37  % (2337032)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3837192682_2990 on theBenchmark for (2990ds/0Mi)
% 13.65/3.37  % (2337034)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=4134946115:i=88024:add=on:rawr=on_2990 on theBenchmark for (2990ds/88024Mi)
% 13.65/3.37  % (2337035)dis+10_1_sil=32000:sp=arity:random_seed=3390311619:i=103:fgj=on_2990 on theBenchmark for (2990ds/103Mi)
% 13.65/3.37  % (2337037)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3686856365:i=131_2990 on theBenchmark for (2990ds/131Mi)
% 13.65/3.37  % (2337038)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1313786129:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2990 on theBenchmark for (2990ds/159Mi)
% 13.65/3.37  % (2337036)Instruction limit reached! 
% 13.65/3.37  % (2337036)------------------------------
% 13.65/3.37  % (2337036)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.65/3.37  % (2337036)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.65/3.37  % (2337036)CaDiCaL version: 2.1.3
% 13.65/3.37  % (2337036)Termination reason: Instruction limit
% 13.65/3.37  % (2337036)Termination phase: Preprocessing 2
% 13.65/3.37  % (2337036)Time elapsed: 0.050 s
% 13.65/3.37  % (2337036)Peak memory usage: 29 MB
% 13.65/3.37  % (2337036)Instructions burned: 116 (million)
% 13.65/3.37  % (2337035)Instruction limit reached! 
% 13.65/3.37  % (2337035)------------------------------
% 13.65/3.37  % (2337035)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.65/3.37  % (2337035)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.65/3.37  % (2337035)CaDiCaL version: 2.1.3
% 13.65/3.37  % (2337035)Termination reason: Instruction limit
% 13.65/3.37  % (2337035)Termination phase: Initialization
% 13.65/3.37  % (2337035)Time elapsed: 0.047 s
% 13.65/3.37  % (2337035)Peak memory usage: 27 MB
% 13.65/3.37  % (2337035)Instructions burned: 103 (million)
% 13.65/3.37  % (2337046)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=3286289653:i=714:nm=2_2989 on theBenchmark for (2989ds/714Mi)
% 13.65/3.37  % (2337037)Instruction limit reached! 
% 13.65/3.37  % (2337037)------------------------------
% 13.65/3.37  % (2337037)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.65/3.37  % (2337037)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.65/3.37  % (2337037)CaDiCaL version: 2.1.3
% 13.65/3.37  % (2337037)Termination reason: Instruction limit
% 13.65/3.37  % (2337037)Termination phase: Initialization
% 13.65/3.37  % (2337037)Time elapsed: 0.060 s
% 13.65/3.37  % (2337037)Peak memory usage: 28 MB
% 13.65/3.37  % (2337037)Instructions burned: 132 (million)
% 13.65/3.37  % (2337047)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=2962002853:i=131:bd=preordered:fsd=on_2989 on theBenchmark for (2989ds/131Mi)
% 13.65/3.37  % (2337038)Instruction limit reached! 
% 13.65/3.37  % (2337038)------------------------------
% 13.65/3.37  % (2337038)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.65/3.37  % (2337038)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.65/3.37  % (2337038)CaDiCaL version: 2.1.3
% 13.65/3.37  % (2337038)Termination reason: Instruction limit
% 13.65/3.37  % (2337038)Termination phase: Initialization
% 13.65/3.37  % (2337038)Time elapsed: 0.073 s
% 13.65/3.37  % (2337038)Peak memory usage: 29 MB
% 13.65/3.37  % (2337038)Instructions burned: 159 (million)
% 13.65/3.37  % (2337049)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=1001669734:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2989 on theBenchmark for (2989ds/684Mi)
% 13.65/3.37  % (2337051)ott-21_1_sil=16000:fs=off:random_seed=2092818366:i=180:av=off:fsr=off_2989 on theBenchmark for (2989ds/180Mi)
% 13.65/3.37  % (2337047)Instruction limit reached! 
% 13.65/3.37  % (2337047)------------------------------
% 13.65/3.37  % (2337047)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.65/3.37  % (2337047)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.74/3.56  % (2337047)CaDiCaL version: 2.1.3
% 14.74/3.56  % (2337047)Termination reason: Instruction limit
% 14.74/3.56  % (2337047)Termination phase: Initialization
% 14.74/3.56  % (2337047)Time elapsed: 0.061 s
% 14.74/3.56  % (2337047)Peak memory usage: 28 MB
% 14.74/3.56  % (2337047)Instructions burned: 131 (million)
% 14.74/3.56  % (2337054)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=262126750:i=477:bd=all_2988 on theBenchmark for (2988ds/477Mi)
% 14.74/3.56  % (2337051)Instruction limit reached! 
% 14.74/3.56  % (2337051)------------------------------
% 14.74/3.56  % (2337051)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.74/3.56  % (2337051)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.74/3.56  % (2337051)CaDiCaL version: 2.1.3
% 14.74/3.56  % (2337051)Termination reason: Instruction limit
% 14.74/3.56  % (2337051)Termination phase: Initialization
% 14.74/3.56  % (2337051)Time elapsed: 0.082 s
% 14.74/3.56  % (2337051)Peak memory usage: 29 MB
% 14.74/3.56  % (2337051)Instructions burned: 180 (million)
% 14.74/3.56  % (2337056)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=1812986692:fmbsr=1.3:i=865:ins=25_2988 on theBenchmark for (2988ds/865Mi)
% 14.74/3.56  % (2337046)Instruction limit reached! 
% 14.74/3.56  % (2337046)------------------------------
% 14.74/3.56  % (2337046)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.74/3.56  % (2337046)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.74/3.56  % (2337046)CaDiCaL version: 2.1.3
% 14.74/3.56  % (2337046)Termination reason: Instruction limit
% 14.74/3.56  % (2337046)Termination phase: Property scanning
% 14.74/3.56  % (2337046)Time elapsed: 0.176 s
% 14.74/3.56  % (2337046)Peak memory usage: 35 MB
% 14.74/3.56  % (2337046)Instructions burned: 717 (million)
% 14.74/3.56  % (2337058)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=3313939074:i=1179_2987 on theBenchmark for (2987ds/1179Mi)
% 14.74/3.56  % (2337054)Instruction limit reached! 
% 14.74/3.56  % (2337054)------------------------------
% 14.74/3.56  % (2337054)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.74/3.56  % (2337054)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.74/3.56  % (2337054)CaDiCaL version: 2.1.3
% 14.74/3.56  % (2337054)Termination reason: Instruction limit
% 14.74/3.56  % (2337054)Termination phase: Property scanning
% 14.74/3.56  % (2337054)Time elapsed: 0.223 s
% 14.74/3.56  % (2337054)Peak memory usage: 35 MB
% 14.74/3.56  % (2337054)Instructions burned: 477 (million)
% 14.74/3.56  % (2337060)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=534353354:i=889:ins=1_2986 on theBenchmark for (2986ds/889Mi)
% 14.74/3.56  % (2337049)Instruction limit reached! 
% 14.74/3.56  % (2337049)------------------------------
% 14.74/3.56  % (2337049)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.74/3.56  % (2337049)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.74/3.56  % (2337049)CaDiCaL version: 2.1.3
% 14.74/3.56  % (2337049)Termination reason: Instruction limit
% 14.74/3.56  % (2337049)Termination phase: NewCNF
% 14.74/3.56  % (2337049)Time elapsed: 0.377 s
% 14.74/3.56  % (2337049)Peak memory usage: 43 MB
% 14.74/3.56  % (2337049)Instructions burned: 685 (million)
% 14.74/3.56  % (2337062)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=215652165:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2985 on theBenchmark for (2985ds/692Mi)
% 14.74/3.56  % (2337058)Instruction limit reached! 
% 14.74/3.56  % (2337058)------------------------------
% 14.74/3.56  % (2337058)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.74/3.56  % (2337058)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.74/3.56  % (2337058)CaDiCaL version: 2.1.3
% 14.74/3.56  % (2337058)Termination reason: Instruction limit
% 14.74/3.56  % (2337058)Termination phase: Preprocessing 3
% 14.74/3.56  % (2337058)Time elapsed: 0.322 s
% 14.74/3.56  % (2337058)Peak memory usage: 45 MB
% 14.74/3.56  % (2337058)Instructions burned: 1181 (million)
% 14.74/3.56  % (2337064)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=961324391:i=879:kws=inv_precedence:fsr=off_2984 on theBenchmark for (2984ds/879Mi)
% 14.74/3.56  % (2337056)Instruction limit reached! 
% 14.74/3.56  % (2337056)------------------------------
% 14.74/3.56  % (2337056)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.74/3.56  % (2337056)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.74/3.56  % (2337056)CaDiCaL version: 2.1.3
% 14.74/3.56  % (2337056)Termination reason: Instruction limit
% 14.74/3.56  % (2337056)Termination phase: Preprocessing 1
% 14.74/3.56  % (2337056)Time elapsed: 0.400 s
% 14.74/3.56  % (2337056)Peak memory usage: 36 MB
% 14.74/3.56  % (2337056)Instructions burned: 866 (million)
% 14.74/3.56  % (2337066)fmb+10_1_sil=64000:random_seed=3877400621:i=22061:nm=2:gsp=on_2983 on theBenchmark for (2983ds/22061Mi)
% 14.74/3.56  % (2337060)Instruction limit reached! 
% 14.74/3.56  % (2337060)------------------------------
% 14.74/3.56  % (2337060)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.74/3.56  % (2337060)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.74/3.56  % (2337060)CaDiCaL version: 2.1.3
% 14.74/3.56  % (2337060)Termination reason: Instruction limit
% 14.74/3.56  % (2337060)Termination phase: Preprocessing 1
% 14.74/3.56  % (2337060)Time elapsed: 0.410 s
% 14.74/3.56  % (2337060)Peak memory usage: 36 MB
% 14.74/3.56  % (2337060)Instructions burned: 890 (million)
% 14.74/3.56  % (2337064)Instruction limit reached! 
% 14.74/3.56  % (2337064)------------------------------
% 14.74/3.56  % (2337064)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.74/3.56  % (2337064)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.74/3.56  % (2337064)CaDiCaL version: 2.1.3
% 14.74/3.56  % (2337064)Termination reason: Instruction limit
% 14.74/3.56  % (2337064)Termination phase: Property scanning
% 14.74/3.56  % (2337064)Time elapsed: 0.239 s
% 14.74/3.56  % (2337064)Peak memory usage: 48 MB
% 14.74/3.56  % (2337064)Instructions burned: 884 (million)
% 14.74/3.56  % (2337068)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=1835575286:i=9515:nm=5_2981 on theBenchmark for (2981ds/9515Mi)
% 14.74/3.56  % (2337069)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=4209529032:fmbsr=1.7:i=920_2981 on theBenchmark for (2981ds/920Mi)
% 14.74/3.56  % (2337062)Instruction limit reached! 
% 14.74/3.56  % (2337062)------------------------------
% 14.74/3.56  % (2337062)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.74/3.56  % (2337062)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.74/3.56  % (2337062)CaDiCaL version: 2.1.3
% 14.74/3.56  % (2337062)Termination reason: Instruction limit
% 14.74/3.56  % (2337062)Termination phase: NewCNF
% 14.74/3.56  % (2337062)Time elapsed: 0.390 s
% 14.74/3.56  % (2337062)Peak memory usage: 45 MB
% 14.74/3.56  % (2337062)Instructions burned: 693 (million)
% 14.74/3.56  % (2337072)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=2683767470:i=5131_2981 on theBenchmark for (2981ds/5131Mi)
% 14.74/3.56  % (2337069)Instruction limit reached! 
% 14.74/3.56  % (2337069)------------------------------
% 14.74/3.56  % (2337069)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.74/3.56  % (2337069)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.74/3.56  % (2337069)CaDiCaL version: 2.1.3
% 14.74/3.56  % (2337069)Termination reason: Instruction limit
% 14.74/3.56  % (2337069)Termination phase: Preprocessing 2
% 14.74/3.56  % (2337069)Time elapsed: 0.239 s
% 14.74/3.56  % (2337069)Peak memory usage: 38 MB
% 14.74/3.56  % (2337069)Instructions burned: 922 (million)
% 14.74/3.56  % (2337074)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=430509333:i=1472:ins=7:fdi=8:gsp=on_2979 on theBenchmark for (2979ds/1472Mi)
% 14.74/3.56  % Exception at run slice level
% 14.74/3.56  User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 14.74/3.56  % (2337076)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=546517261:i=6324_2975 on theBenchmark for (2975ds/6324Mi)
% 14.74/3.56  % (2337074)Instruction limit reached! 
% 14.74/3.56  % (2337074)------------------------------
% 14.74/3.56  % (2337074)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.74/3.56  % (2337074)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.74/3.56  % (2337074)CaDiCaL version: 2.1.3
% 14.74/3.56  % (2337074)Termination reason: Instruction limit
% 14.74/3.56  % (2337074)Termination phase: Property scanning
% 14.74/3.56  % (2337074)Time elapsed: 0.402 s
% 14.74/3.56  % (2337074)Peak memory usage: 50 MB
% 14.74/3.56  % (2337074)Instructions burned: 1475 (million)
% 14.74/3.56  % (2337078)fmb+10_1_fmbas=function:sil=32000:sas=cadical:fmbss=16:random_seed=3242100327:fmbsr=2.30978:i=2174_2975 on theBenchmark for (2975ds/2174Mi)
% 14.74/3.56  % (2337066)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 14.74/3.56  % Exception at run slice level
% 14.74/3.56  User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 14.74/3.56  % (2337080)ott-2_1_sil=16000:newcnf=on:random_seed=1634127778:avsq=on:i=869:avsqr=1,16:kws=inv_arity_squared_2971 on theBenchmark for (2971ds/869Mi)
% 14.74/3.56  % (2337033) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2336980-2337033"...
% 14.74/3.56  % (2337033)...printing done.
% 14.74/3.56  % (2337033)Refutation found. Thanks to Tanya!
% 14.74/3.56  % SZS status Theorem for theBenchmark
% 14.74/3.56  % SZS output start Proof for theBenchmark
% See solution above
% 14.74/3.59  % (2337033)------------------------------
% 14.74/3.59  % (2337033)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.74/3.59  % (2337033)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.74/3.59  % (2337033)CaDiCaL version: 2.1.3
% 14.74/3.59  % (2337033)Termination reason: Refutation
% 14.74/3.59  % (2337033)Time elapsed: 1.994 s
% 14.74/3.59  % (2337033)Peak memory usage: 66 MB
% 14.74/3.59  % (2337033)Instructions burned: 4343 (million)
% 14.74/3.59  % (2336980)Success in time 3.038 s
% 14.74/3.59  % Vampire exiting
%------------------------------------------------------------------------------