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Vampire---5.0.1.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : ITP256_4 : TPTP v9.3.1. Released v8.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM

% Computer : n017.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Tue Sep 29 11:32:01 AM UTC 2026

% Result   : Theorem 32.64s 6.43s
% Output   : Refutation 33.35s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   32 (  15 unt;   0 typ;   0 def)
%            Number of atoms       :  104 (  47 equ)
%            Maximal formula atoms :    8 (   3 avg)
%            Number of connectives :   87 (  32   ~;  22   |;  23   &)
%                                         (   7 <=>;   3  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   5 avg)
%            Maximal term depth    :    8 (   2 avg)
%            Number of FOOLs       :   25 (  25 fml;   0 var)
%            Number of types       :   13 (  12 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of predicates  : 1162 (1159 usr;   2 prp; 0-9 aty)
%            Number of functors    : 5937 (5937 usr; 227 con; 0-10 aty)
%            Number of variables   :   56 (  51   !;   5   ?;  56   :)

% 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] : fun(X0,X1) ).

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

tff(func_def_897,type,
    aTP_Lamp_xf: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_898,type,
    aTP_Lamp_xg: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_899,type,
    aTP_Lamp_xh: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_900,type,
    aTP_Lamp_xi: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_901,type,
    aTP_Lamp_xj: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_902,type,
    aTP_Lamp_xk: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_903,type,
    aTP_Lamp_xl: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_904,type,
    aTP_Lamp_xm: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_905,type,
    aTP_Lamp_xn: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_906,type,
    aTP_Lamp_xo: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_907,type,
    aTP_Lamp_xp: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_908,type,
    aTP_Lamp_xq: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_909,type,
    aTP_Lamp_xr: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_910,type,
    aTP_Lamp_xs: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_911,type,
    aTP_Lamp_xt: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_912,type,
    aTP_Lamp_xu: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_913,type,
    aTP_Lamp_xv: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_914,type,
    aTP_Lamp_xw: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_915,type,
    aTP_Lamp_xx: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_916,type,
    aTP_Lamp_xy: 
      !>[X0: $tType,X1: $tType] : fun(X0,X1) ).

tff(func_def_917,type,
    aTP_Lamp_xz: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_918,type,
    aTP_Lamp_ya: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_919,type,
    aTP_Lamp_yb: 
      !>[X0: $tType,X1: $tType] : fun(X0,X1) ).

tff(func_def_920,type,
    aTP_Lamp_yc: 
      !>[X0: $tType,X1: $tType] : fun(X0,X1) ).

tff(func_def_921,type,
    aTP_Lamp_yd: 
      !>[X0: $tType,X1: $tType] : fun(X0,X1) ).

tff(func_def_922,type,
    aTP_Lamp_ye: 
      !>[X0: $tType,X1: $tType] : fun(X0,X1) ).

tff(func_def_923,type,
    aTP_Lamp_yf: 
      !>[X0: $tType,X1: $tType] : fun(X0,X1) ).

tff(func_def_924,type,
    aTP_Lamp_yg: 
      !>[X0: $tType,X1: $tType] : fun(X0,X1) ).

tff(func_def_925,type,
    aTP_Lamp_yh: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_926,type,
    aTP_Lamp_yi: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_927,type,
    aTP_Lamp_yj: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_928,type,
    aTP_Lamp_yk: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_929,type,
    aTP_Lamp_yl: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_930,type,
    aTP_Lamp_ym: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_931,type,
    aTP_Lamp_yn: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_932,type,
    aTP_Lamp_yo: 
      !>[X0: $tType,X1: $tType] : fun(X0,X1) ).

tff(func_def_933,type,
    aTP_Lamp_yp: 
      !>[X0: $tType,X1: $tType] : fun(X0,X1) ).

tff(func_def_934,type,
    aTP_Lamp_yq: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_935,type,
    aTP_Lamp_yr: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_936,type,
    aTP_Lamp_ys: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_937,type,
    aTP_Lamp_yt: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_938,type,
    aTP_Lamp_yu: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_939,type,
    aTP_Lamp_yv: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_940,type,
    aTP_Lamp_yw: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_941,type,
    aTP_Lamp_yx: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_942,type,
    aTP_Lamp_yy: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_943,type,
    aTP_Lamp_yz: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_944,type,
    aTP_Lamp_za: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_945,type,
    aTP_Lamp_zb: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_946,type,
    aTP_Lamp_zc: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_947,type,
    aTP_Lamp_zd: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_948,type,
    aTP_Lamp_ze: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_949,type,
    aTP_Lamp_zf: 
      !>[X0: $tType,X1: $tType] : fun(X0,X1) ).

tff(func_def_950,type,
    aTP_Lamp_zg: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_951,type,
    aTP_Lamp_zh: 
      !>[X0: $tType,X1: $tType] : fun(X0,X1) ).

tff(func_def_952,type,
    aTP_Lamp_zi: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_953,type,
    aTP_Lamp_zj: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_954,type,
    aTP_Lamp_zk: 
      !>[X0: $tType,X1: $tType] : fun(X0,X1) ).

tff(func_def_955,type,
    aTP_Lamp_zl: 
      !>[X0: $tType,X1: $tType] : fun(X0,X1) ).

tff(func_def_956,type,
    aTP_Lamp_zm: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_957,type,
    aTP_Lamp_zn: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_958,type,
    aTP_Lamp_zo: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_959,type,
    aTP_Lamp_zp: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_960,type,
    aTP_Lamp_zq: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_961,type,
    aTP_Lamp_zr: 
      !>[X0: $tType,X1: $tType] : fun(X0,X1) ).

tff(func_def_962,type,
    aTP_Lamp_zs: 
      !>[X0: $tType,X1: $tType] : fun(X0,X1) ).

tff(func_def_963,type,
    aTP_Lamp_zt: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_964,type,
    aTP_Lamp_zu: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_965,type,
    aTP_Lamp_zv: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_966,type,
    aTP_Lamp_zw: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_967,type,
    aTP_Lamp_zx: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_968,type,
    aTP_Lamp_zy: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_969,type,
    aTP_Lamp_zz: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_970,type,
    archimedean_ceiling: 
      !>[X0: $tType] : ( X0 > int ) ).

tff(func_def_971,type,
    archim6421214686448440834_floor: 
      !>[X0: $tType] : ( X0 > int ) ).

tff(func_def_972,type,
    archimedean_frac: 
      !>[X0: $tType] : ( X0 > X0 ) ).

tff(func_def_973,type,
    archimedean_round: 
      !>[X0: $tType] : ( X0 > int ) ).

tff(func_def_974,type,
    bNF_Ca8665028551170535155natLeq: set(product_prod(nat,nat)) ).

tff(func_def_975,type,
    bNF_Ca8459412986667044542atLess: set(product_prod(nat,nat)) ).

tff(func_def_976,type,
    bNF_Gr: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,X1) ) > set(product_prod(X0,X1)) ) ).

tff(func_def_977,type,
    bNF_rel_fun: 
      !>[X0: $tType,X1: $tType,X2: $tType,X3: $tType] : ( ( fun(X0,fun(X1,$o)) * fun(X2,fun(X3,$o)) ) > fun(fun(X0,X2),fun(fun(X1,X3),$o)) ) ).

tff(func_def_978,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_979,type,
    bNF_Wellorder_Func: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * set(X1) ) > set(fun(X0,X1)) ) ).

tff(func_def_980,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_981,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_982,type,
    bNF_We1388413361240627857o_max2: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * X0 * X0 ) > X0 ) ).

tff(func_def_983,type,
    bNF_We6954850376910717587_minim: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * set(X0) ) > X0 ) ).

tff(func_def_984,type,
    basic_BNF_size_prod: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,nat) * fun(X1,nat) * product_prod(X0,X1) ) > nat ) ).

tff(func_def_985,type,
    binomial: ( nat * nat ) > nat ).

tff(func_def_986,type,
    gbinomial: 
      !>[X0: $tType] : ( ( X0 * nat ) > X0 ) ).

tff(func_def_987,type,
    bit_and_int_rel: fun(product_prod(int,int),fun(product_prod(int,int),$o)) ).

tff(func_def_988,type,
    bit_and_not_num: ( num * num ) > option(num) ).

tff(func_def_989,type,
    bit_and_not_num_rel: fun(product_prod(num,num),fun(product_prod(num,num),$o)) ).

tff(func_def_990,type,
    bit_concat_bit: ( nat * int * int ) > int ).

tff(func_def_991,type,
    bit_ri4277139882892585799ns_not: 
      !>[X0: $tType] : fun(X0,X0) ).

tff(func_def_992,type,
    bit_ri4674362597316999326ke_bit: 
      !>[X0: $tType] : ( nat > fun(X0,X0) ) ).

tff(func_def_993,type,
    bit_se5824344872417868541ns_and: 
      !>[X0: $tType] : fun(X0,fun(X0,X0)) ).

tff(func_def_994,type,
    bit_se4197421643247451524op_bit: 
      !>[X0: $tType] : ( ( nat * X0 ) > X0 ) ).

tff(func_def_995,type,
    bit_se8732182000553998342ip_bit: 
      !>[X0: $tType] : ( ( nat * X0 ) > X0 ) ).

tff(func_def_996,type,
    bit_se2239418461657761734s_mask: 
      !>[X0: $tType] : ( nat > X0 ) ).

tff(func_def_997,type,
    bit_se1065995026697491101ons_or: 
      !>[X0: $tType] : fun(X0,fun(X0,X0)) ).

tff(func_def_998,type,
    bit_se4730199178511100633sh_bit: 
      !>[X0: $tType] : ( ( nat * X0 ) > X0 ) ).

tff(func_def_999,type,
    bit_se5668285175392031749et_bit: 
      !>[X0: $tType] : ( ( nat * X0 ) > X0 ) ).

tff(func_def_1000,type,
    bit_se2584673776208193580ke_bit: 
      !>[X0: $tType] : ( nat > fun(X0,X0) ) ).

tff(func_def_1001,type,
    bit_se2638667681897837118et_bit: 
      !>[X0: $tType] : ( ( nat * X0 ) > X0 ) ).

tff(func_def_1002,type,
    bit_se5824344971392196577ns_xor: 
      !>[X0: $tType] : fun(X0,fun(X0,X0)) ).

tff(func_def_1003,type,
    bit_se5641148757651400278ts_bit: 
      !>[X0: $tType] : ( X0 > fun(nat,$o) ) ).

tff(func_def_1004,type,
    bit_take_bit_num: ( nat * num ) > option(num) ).

tff(func_def_1005,type,
    bit_un7362597486090784418nd_num: ( num * num ) > option(num) ).

tff(func_def_1006,type,
    bit_un4731106466462545111um_rel: fun(product_prod(num,num),fun(product_prod(num,num),$o)) ).

tff(func_def_1007,type,
    bit_un2480387367778600638or_num: ( num * num ) > option(num) ).

tff(func_def_1008,type,
    bit_un2901131394128224187um_rel: fun(product_prod(num,num),fun(product_prod(num,num),$o)) ).

tff(func_def_1009,type,
    code_bit_cut_integer: code_integer > product_prod(code_integer,$o) ).

tff(func_def_1010,type,
    code_divmod_abs: ( code_integer * code_integer ) > product_prod(code_integer,code_integer) ).

tff(func_def_1011,type,
    code_divmod_integer: ( code_integer * code_integer ) > product_prod(code_integer,code_integer) ).

tff(func_def_1012,type,
    code_int_of_integer: code_integer > int ).

tff(func_def_1013,type,
    code_integer_of_int: int > code_integer ).

tff(func_def_1014,type,
    code_integer_of_nat: nat > code_integer ).

tff(func_def_1015,type,
    code_nat_of_integer: fun(code_integer,nat) ).

tff(func_def_1016,type,
    complete_Inf_Inf: 
      !>[X0: $tType] : fun(set(X0),X0) ).

tff(func_def_1017,type,
    complete_Sup_Sup: 
      !>[X0: $tType] : fun(set(X0),X0) ).

tff(func_def_1018,type,
    comple115746919287870866o_fixp: 
      !>[X0: $tType] : ( fun(X0,X0) > X0 ) ).

tff(func_def_1019,type,
    comple7512665784863727008ratesp: 
      !>[X0: $tType] : ( fun(X0,X0) > fun(X0,$o) ) ).

tff(func_def_1020,type,
    comple7038119648293358887notone: 
      !>[X0: $tType,X1: $tType] : fun(fun(X0,fun(X0,$o)),fun(fun(X1,fun(X1,$o)),fun(fun(X0,X1),$o))) ).

tff(func_def_1021,type,
    arg: complex > real ).

tff(func_def_1022,type,
    cis: real > complex ).

tff(func_def_1023,type,
    complex2: ( real * real ) > complex ).

tff(func_def_1024,type,
    counta4804993851260445106t_into: 
      !>[X0: $tType] : fun(set(X0),fun(nat,X0)) ).

tff(func_def_1025,type,
    countable_to_nat_on: 
      !>[X0: $tType] : ( set(X0) > fun(X0,nat) ) ).

tff(func_def_1026,type,
    adjust_div: product_prod(int,int) > int ).

tff(func_def_1027,type,
    divmod_nat: ( nat * nat ) > product_prod(nat,nat) ).

tff(func_def_1028,type,
    unique8689654367752047608divmod: 
      !>[X0: $tType] : ( ( num * num ) > product_prod(X0,X0) ) ).

tff(func_def_1029,type,
    unique1321980374590559556d_step: 
      !>[X0: $tType] : ( ( num * product_prod(X0,X0) ) > product_prod(X0,X0) ) ).

tff(func_def_1030,type,
    equiv_proj: 
      !>[X0: $tType,X1: $tType] : ( ( set(product_prod(X0,X1)) * X0 ) > set(X1) ) ).

tff(func_def_1031,type,
    equiv_quotient: 
      !>[X0: $tType] : ( ( set(X0) * set(product_prod(X0,X0)) ) > set(set(X0)) ) ).

tff(func_def_1032,type,
    comm_s3205402744901411588hammer: 
      !>[X0: $tType] : ( ( X0 * nat ) > X0 ) ).

tff(func_def_1033,type,
    semiring_char_0_fact: 
      !>[X0: $tType] : ( nat > X0 ) ).

tff(func_def_1034,type,
    inverse_inverse: 
      !>[X0: $tType] : fun(X0,X0) ).

tff(func_def_1035,type,
    at_bot: 
      !>[X0: $tType] : filter(X0) ).

tff(func_def_1036,type,
    at_top: 
      !>[X0: $tType] : filter(X0) ).

tff(func_def_1037,type,
    filtercomap: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * filter(X1) ) > filter(X0) ) ).

tff(func_def_1038,type,
    filtermap: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * filter(X0) ) > filter(X1) ) ).

tff(func_def_1039,type,
    finite5375528669736107172at_top: 
      !>[X0: $tType] : ( set(X0) > filter(set(X0)) ) ).

tff(func_def_1040,type,
    map_filter_on: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,X1) * filter(X0) ) > filter(X1) ) ).

tff(func_def_1041,type,
    principal: 
      !>[X0: $tType] : ( set(X0) > filter(X0) ) ).

tff(func_def_1042,type,
    prod_filter: 
      !>[X0: $tType,X1: $tType] : ( ( filter(X0) * filter(X1) ) > filter(product_prod(X0,X1)) ) ).

tff(func_def_1043,type,
    finite_Fpow: 
      !>[X0: $tType] : ( set(X0) > set(set(X0)) ) ).

tff(func_def_1044,type,
    finite_card: 
      !>[X0: $tType] : fun(set(X0),nat) ).

tff(func_def_1045,type,
    finite_finite2: 
      !>[X0: $tType] : fun(set(X0),$o) ).

tff(func_def_1046,type,
    finite_fold: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,fun(X1,X1)) * X1 * set(X0) ) > X1 ) ).

tff(func_def_1047,type,
    finite_fold_graph: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,fun(X1,X1)) * X1 * set(X0) ) > fun(X1,$o) ) ).

tff(func_def_1048,type,
    finite_folding_F: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,fun(X1,X1)) * X1 ) > fun(set(X0),X1) ) ).

tff(func_def_1049,type,
    comp: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( fun(X0,X1) > fun(fun(X2,X0),fun(X2,X1)) ) ).

tff(func_def_1050,type,
    fun_upd: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * X0 * X1 ) > fun(X0,X1) ) ).

tff(func_def_1051,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_1052,type,
    the_inv_into: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,X1) * X1 ) > X0 ) ).

tff(func_def_1053,type,
    fun_max_strict: set(product_prod(set(product_prod(nat,nat)),set(product_prod(nat,nat)))) ).

tff(func_def_1054,type,
    fun_max_weak: set(product_prod(set(product_prod(nat,nat)),set(product_prod(nat,nat)))) ).

tff(func_def_1055,type,
    fun_min_strict: set(product_prod(set(product_prod(nat,nat)),set(product_prod(nat,nat)))) ).

tff(func_def_1056,type,
    fun_min_weak: set(product_prod(set(product_prod(nat,nat)),set(product_prod(nat,nat)))) ).

tff(func_def_1057,type,
    fun_pair_leq: set(product_prod(product_prod(nat,nat),product_prod(nat,nat))) ).

tff(func_def_1058,type,
    fun_pair_less: set(product_prod(product_prod(nat,nat),product_prod(nat,nat))) ).

tff(func_def_1059,type,
    gcd_Gcd: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_1060,type,
    bezw: ( nat * nat ) > product_prod(int,int) ).

tff(func_def_1061,type,
    bezw_rel: fun(product_prod(nat,nat),fun(product_prod(nat,nat),$o)) ).

tff(func_def_1062,type,
    gcd_gcd: 
      !>[X0: $tType] : fun(X0,fun(X0,X0)) ).

tff(func_def_1063,type,
    gcd_nat_rel: fun(product_prod(nat,nat),fun(product_prod(nat,nat),$o)) ).

tff(func_def_1064,type,
    semiri4206861660011772517g_char: 
      !>[X0: $tType] : ( itself(X0) > nat ) ).

tff(func_def_1065,type,
    semiring_gcd_Gcd_fin: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_1066,type,
    abs_abs: 
      !>[X0: $tType] : fun(X0,X0) ).

tff(func_def_1067,type,
    minus_minus: 
      !>[X0: $tType] : fun(X0,fun(X0,X0)) ).

tff(func_def_1068,type,
    one_one: 
      !>[X0: $tType] : X0 ).

tff(func_def_1069,type,
    plus_plus: 
      !>[X0: $tType] : fun(X0,fun(X0,X0)) ).

tff(func_def_1070,type,
    sgn_sgn: 
      !>[X0: $tType] : fun(X0,X0) ).

tff(func_def_1071,type,
    times_times: 
      !>[X0: $tType] : fun(X0,fun(X0,X0)) ).

tff(func_def_1072,type,
    uminus_uminus: 
      !>[X0: $tType] : fun(X0,X0) ).

tff(func_def_1073,type,
    zero_zero: 
      !>[X0: $tType] : X0 ).

tff(func_def_1074,type,
    groups7311177749621191930dd_sum: 
      !>[X0: $tType,X1: $tType] : fun(fun(X0,X1),fun(set(X0),X1)) ).

tff(func_def_1075,type,
    groups1027152243600224163dd_sum: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * set(X0) ) > X1 ) ).

tff(func_def_1076,type,
    groups7121269368397514597t_prod: 
      !>[X0: $tType,X1: $tType] : fun(fun(X0,X1),fun(set(X0),X1)) ).

tff(func_def_1077,type,
    groups1962203154675924110t_prod: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * set(X0) ) > X1 ) ).

tff(func_def_1078,type,
    groups4207007520872428315er_sum: 
      !>[X0: $tType,X1: $tType] : fun(fun(X0,X1),fun(X1,fun(list(X0),X1))) ).

tff(func_def_1079,type,
    groups8242544230860333062m_list: 
      !>[X0: $tType] : fun(list(X0),X0) ).

tff(func_def_1080,type,
    groups5270119922927024881d_list: 
      !>[X0: $tType] : ( list(X0) > X0 ) ).

tff(func_def_1081,type,
    the: 
      !>[X0: $tType] : ( fun(X0,$o) > X0 ) ).

tff(func_def_1082,type,
    undefined: 
      !>[X0: $tType] : X0 ).

tff(func_def_1083,type,
    complete_lattice_lfp: 
      !>[X0: $tType] : ( fun(X0,X0) > X0 ) ).

tff(func_def_1084,type,
    infini527867602293511546merate: 
      !>[X0: $tType] : ( set(X0) > fun(nat,X0) ) ).

tff(func_def_1085,type,
    abs_Integ: fun(product_prod(nat,nat),int) ).

tff(func_def_1086,type,
    rep_Integ: fun(int,product_prod(nat,nat)) ).

tff(func_def_1087,type,
    int_ge_less_than: int > set(product_prod(int,int)) ).

tff(func_def_1088,type,
    int_ge_less_than2: int > set(product_prod(int,int)) ).

tff(func_def_1089,type,
    intrel: fun(product_prod(nat,nat),fun(product_prod(nat,nat),$o)) ).

tff(func_def_1090,type,
    nat2: fun(int,nat) ).

tff(func_def_1091,type,
    pcr_int: fun(product_prod(nat,nat),fun(int,$o)) ).

tff(func_def_1092,type,
    power_int: 
      !>[X0: $tType] : ( ( X0 * int ) > X0 ) ).

tff(func_def_1093,type,
    ring_1_Ints: 
      !>[X0: $tType] : set(X0) ).

tff(func_def_1094,type,
    ring_1_of_int: 
      !>[X0: $tType] : fun(int,X0) ).

tff(func_def_1095,type,
    inf_inf: 
      !>[X0: $tType] : fun(X0,fun(X0,X0)) ).

tff(func_def_1096,type,
    sup_sup: 
      !>[X0: $tType] : fun(X0,fun(X0,X0)) ).

tff(func_def_1097,type,
    lattices_Max: 
      !>[X0: $tType] : ( fun(X0,fun(X0,$o)) > fun(set(X0),X0) ) ).

tff(func_def_1098,type,
    lattices_Min: 
      !>[X0: $tType] : ( fun(X0,fun(X0,$o)) > fun(set(X0),X0) ) ).

tff(func_def_1099,type,
    lattic643756798349783984er_Max: 
      !>[X0: $tType] : fun(set(X0),X0) ).

tff(func_def_1100,type,
    lattic643756798350308766er_Min: 
      !>[X0: $tType] : fun(set(X0),X0) ).

tff(func_def_1101,type,
    lattices_ord_arg_min: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * fun(X0,$o) ) > X0 ) ).

tff(func_def_1102,type,
    lattic7623131987881927897min_on: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * set(X0) ) > X0 ) ).

tff(func_def_1103,type,
    lattic501386751177426532rg_min: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * fun(X0,$o) ) > fun(X0,$o) ) ).

tff(func_def_1104,type,
    lattic7752659483105999362nf_fin: 
      !>[X0: $tType] : fun(set(X0),X0) ).

tff(func_def_1105,type,
    lattic5882676163264333800up_fin: 
      !>[X0: $tType] : fun(set(X0),X0) ).

tff(func_def_1106,type,
    at_infinity: 
      !>[X0: $tType] : filter(X0) ).

tff(func_def_1107,type,
    bleast: 
      !>[X0: $tType] : ( ( set(X0) * fun(X0,$o) ) > X0 ) ).

tff(func_def_1108,type,
    abort_Bleast: 
      !>[X0: $tType] : ( ( set(X0) * fun(X0,$o) ) > X0 ) ).

tff(func_def_1109,type,
    append: 
      !>[X0: $tType] : fun(list(X0),fun(list(X0),list(X0))) ).

tff(func_def_1110,type,
    arg_min_list: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * list(X0) ) > X0 ) ).

tff(func_def_1111,type,
    bind: 
      !>[X0: $tType,X1: $tType] : ( ( list(X0) * fun(X0,list(X1)) ) > list(X1) ) ).

tff(func_def_1112,type,
    butlast: 
      !>[X0: $tType] : fun(list(X0),list(X0)) ).

tff(func_def_1113,type,
    concat: 
      !>[X0: $tType] : fun(list(list(X0)),list(X0)) ).

tff(func_def_1114,type,
    coset: 
      !>[X0: $tType] : ( list(X0) > set(X0) ) ).

tff(func_def_1115,type,
    count_list: 
      !>[X0: $tType] : ( list(X0) > fun(X0,nat) ) ).

tff(func_def_1116,type,
    drop: 
      !>[X0: $tType] : fun(nat,fun(list(X0),list(X0))) ).

tff(func_def_1117,type,
    dropWhile: 
      !>[X0: $tType] : fun(fun(X0,$o),fun(list(X0),list(X0))) ).

tff(func_def_1118,type,
    enumerate: 
      !>[X0: $tType] : ( ( nat * list(X0) ) > list(product_prod(nat,X0)) ) ).

tff(func_def_1119,type,
    extract: 
      !>[X0: $tType] : ( ( fun(X0,$o) * list(X0) ) > option(product_prod(list(X0),product_prod(X0,list(X0)))) ) ).

tff(func_def_1120,type,
    filter2: 
      !>[X0: $tType] : fun(fun(X0,$o),fun(list(X0),list(X0))) ).

tff(func_def_1121,type,
    find: 
      !>[X0: $tType] : ( ( fun(X0,$o) * list(X0) ) > option(X0) ) ).

tff(func_def_1122,type,
    fold: 
      !>[X0: $tType,X1: $tType] : fun(fun(X0,fun(X1,X1)),fun(list(X0),fun(X1,X1))) ).

tff(func_def_1123,type,
    foldl: 
      !>[X0: $tType,X1: $tType] : fun(fun(X0,fun(X1,X0)),fun(X0,fun(list(X1),X0))) ).

tff(func_def_1124,type,
    foldr: 
      !>[X0: $tType,X1: $tType] : fun(fun(X0,fun(X1,X1)),fun(list(X0),fun(X1,X1))) ).

tff(func_def_1125,type,
    insert: 
      !>[X0: $tType] : fun(X0,fun(list(X0),list(X0))) ).

tff(func_def_1126,type,
    last: 
      !>[X0: $tType] : ( list(X0) > X0 ) ).

tff(func_def_1127,type,
    lenlex: 
      !>[X0: $tType] : ( set(product_prod(X0,X0)) > set(product_prod(list(X0),list(X0))) ) ).

tff(func_def_1128,type,
    lex: 
      !>[X0: $tType] : ( set(product_prod(X0,X0)) > set(product_prod(list(X0),list(X0))) ) ).

tff(func_def_1129,type,
    lexn: 
      !>[X0: $tType] : ( set(product_prod(X0,X0)) > fun(nat,set(product_prod(list(X0),list(X0)))) ) ).

tff(func_def_1130,type,
    lexord: 
      !>[X0: $tType] : ( set(product_prod(X0,X0)) > set(product_prod(list(X0),list(X0))) ) ).

tff(func_def_1131,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_1132,type,
    sorted8670434370408473282of_set: 
      !>[X0: $tType,X1: $tType] : ( fun(X0,fun(X0,$o)) > fun(fun(X1,X0),fun(set(X1),list(X1))) ) ).

tff(func_def_1133,type,
    linord329482645794927042rt_key: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * X0 * list(X0) ) > list(X0) ) ).

tff(func_def_1134,type,
    linorder_insort_key: 
      !>[X0: $tType,X1: $tType] : ( fun(X0,X1) > fun(X0,fun(list(X0),list(X0))) ) ).

tff(func_def_1135,type,
    linorder_sort_key: 
      !>[X0: $tType,X1: $tType] : fun(fun(X0,X1),fun(list(X0),list(X0))) ).

tff(func_def_1136,type,
    linord144544945434240204of_set: 
      !>[X0: $tType,X1: $tType] : ( fun(X0,X1) > fun(set(X0),list(X0)) ) ).

tff(func_def_1137,type,
    linord4507533701916653071of_set: 
      !>[X0: $tType] : fun(set(X0),list(X0)) ).

tff(func_def_1138,type,
    cons: 
      !>[X0: $tType] : fun(X0,fun(list(X0),list(X0))) ).

tff(func_def_1139,type,
    nil: 
      !>[X0: $tType] : list(X0) ).

tff(func_def_1140,type,
    case_list: 
      !>[X0: $tType,X1: $tType] : fun(X0,fun(fun(X1,fun(list(X1),X0)),fun(list(X1),X0))) ).

tff(func_def_1141,type,
    hd: 
      !>[X0: $tType] : fun(list(X0),X0) ).

tff(func_def_1142,type,
    list_all2: 
      !>[X0: $tType,X1: $tType] : fun(fun(X0,fun(X1,$o)),fun(list(X0),fun(list(X1),$o))) ).

tff(func_def_1143,type,
    map: 
      !>[X0: $tType,X1: $tType] : fun(fun(X0,X1),fun(list(X0),list(X1))) ).

tff(func_def_1144,type,
    rec_list: 
      !>[X0: $tType,X1: $tType] : fun(X0,fun(fun(X1,fun(list(X1),fun(X0,X0))),fun(list(X1),X0))) ).

tff(func_def_1145,type,
    set2: 
      !>[X0: $tType] : fun(list(X0),set(X0)) ).

tff(func_def_1146,type,
    size_list: 
      !>[X0: $tType] : ( fun(X0,nat) > fun(list(X0),nat) ) ).

tff(func_def_1147,type,
    tl: 
      !>[X0: $tType] : fun(list(X0),list(X0)) ).

tff(func_def_1148,type,
    list_update: 
      !>[X0: $tType] : fun(list(X0),fun(nat,fun(X0,list(X0)))) ).

tff(func_def_1149,type,
    listrel: 
      !>[X0: $tType,X1: $tType] : ( set(product_prod(X0,X1)) > set(product_prod(list(X0),list(X1))) ) ).

tff(func_def_1150,type,
    listrel1: 
      !>[X0: $tType] : ( set(product_prod(X0,X0)) > set(product_prod(list(X0),list(X0))) ) ).

tff(func_def_1151,type,
    listrelp: 
      !>[X0: $tType,X1: $tType] : ( fun(X0,fun(X1,$o)) > fun(list(X0),fun(list(X1),$o)) ) ).

tff(func_def_1152,type,
    lists: 
      !>[X0: $tType] : ( set(X0) > set(list(X0)) ) ).

tff(func_def_1153,type,
    listset: 
      !>[X0: $tType] : ( list(set(X0)) > set(list(X0)) ) ).

tff(func_def_1154,type,
    map_filter: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,option(X1)) * list(X0) ) > list(X1) ) ).

tff(func_def_1155,type,
    map_project: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,option(X1)) * set(X0) ) > set(X1) ) ).

tff(func_def_1156,type,
    map_tailrec: 
      !>[X0: $tType,X1: $tType] : fun(fun(X0,X1),fun(list(X0),list(X1))) ).

tff(func_def_1157,type,
    map_tailrec_rev: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * list(X0) * list(X1) ) > list(X1) ) ).

tff(func_def_1158,type,
    maps: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,list(X1)) * list(X0) ) > list(X1) ) ).

tff(func_def_1159,type,
    measures: 
      !>[X0: $tType] : ( list(fun(X0,nat)) > set(product_prod(X0,X0)) ) ).

tff(func_def_1160,type,
    min_list: 
      !>[X0: $tType] : ( list(X0) > X0 ) ).

tff(func_def_1161,type,
    min_list_rel: 
      !>[X0: $tType] : fun(list(X0),fun(list(X0),$o)) ).

tff(func_def_1162,type,
    n_lists: 
      !>[X0: $tType] : ( ( nat * list(X0) ) > list(list(X0)) ) ).

tff(func_def_1163,type,
    nth: 
      !>[X0: $tType] : ( list(X0) > fun(nat,X0) ) ).

tff(func_def_1164,type,
    nths: 
      !>[X0: $tType] : ( ( list(X0) * set(nat) ) > list(X0) ) ).

tff(func_def_1165,type,
    null: 
      !>[X0: $tType] : fun(list(X0),$o) ).

tff(func_def_1166,type,
    lexordp2: 
      !>[X0: $tType] : ( fun(X0,fun(X0,$o)) > fun(list(X0),fun(list(X0),$o)) ) ).

tff(func_def_1167,type,
    ord_lexordp: 
      !>[X0: $tType] : fun(list(X0),fun(list(X0),$o)) ).

tff(func_def_1168,type,
    partition: 
      !>[X0: $tType] : ( fun(X0,$o) > fun(list(X0),product_prod(list(X0),list(X0))) ) ).

tff(func_def_1169,type,
    product: 
      !>[X0: $tType,X1: $tType] : ( ( list(X0) * list(X1) ) > list(product_prod(X0,X1)) ) ).

tff(func_def_1170,type,
    product_lists: 
      !>[X0: $tType] : fun(list(list(X0)),list(list(X0))) ).

tff(func_def_1171,type,
    remdups: 
      !>[X0: $tType] : ( list(X0) > list(X0) ) ).

tff(func_def_1172,type,
    remdups_adj: 
      !>[X0: $tType] : ( list(X0) > list(X0) ) ).

tff(func_def_1173,type,
    remdups_adj_rel: 
      !>[X0: $tType] : fun(list(X0),fun(list(X0),$o)) ).

tff(func_def_1174,type,
    remove1: 
      !>[X0: $tType] : ( ( X0 * list(X0) ) > list(X0) ) ).

tff(func_def_1175,type,
    removeAll: 
      !>[X0: $tType] : ( X0 > fun(list(X0),list(X0)) ) ).

tff(func_def_1176,type,
    replicate: 
      !>[X0: $tType] : fun(nat,fun(X0,list(X0))) ).

tff(func_def_1177,type,
    rev: 
      !>[X0: $tType] : fun(list(X0),list(X0)) ).

tff(func_def_1178,type,
    rotate: 
      !>[X0: $tType] : fun(nat,fun(list(X0),list(X0))) ).

tff(func_def_1179,type,
    rotate1: 
      !>[X0: $tType] : fun(list(X0),list(X0)) ).

tff(func_def_1180,type,
    set_Cons: 
      !>[X0: $tType] : ( ( set(X0) * set(list(X0)) ) > set(list(X0)) ) ).

tff(func_def_1181,type,
    shuffles: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) ) > set(list(X0)) ) ).

tff(func_def_1182,type,
    shuffles_rel: 
      !>[X0: $tType] : fun(product_prod(list(X0),list(X0)),fun(product_prod(list(X0),list(X0)),$o)) ).

tff(func_def_1183,type,
    splice: 
      !>[X0: $tType] : fun(list(X0),fun(list(X0),list(X0))) ).

tff(func_def_1184,type,
    splice_rel: 
      !>[X0: $tType] : fun(product_prod(list(X0),list(X0)),fun(product_prod(list(X0),list(X0)),$o)) ).

tff(func_def_1185,type,
    subseqs: 
      !>[X0: $tType] : fun(list(X0),list(list(X0))) ).

tff(func_def_1186,type,
    take: 
      !>[X0: $tType] : fun(nat,fun(list(X0),list(X0))) ).

tff(func_def_1187,type,
    takeWhile: 
      !>[X0: $tType] : fun(fun(X0,$o),fun(list(X0),list(X0))) ).

tff(func_def_1188,type,
    transpose: 
      !>[X0: $tType] : ( list(list(X0)) > list(list(X0)) ) ).

tff(func_def_1189,type,
    transpose_rel: 
      !>[X0: $tType] : fun(list(list(X0)),fun(list(list(X0)),$o)) ).

tff(func_def_1190,type,
    union: 
      !>[X0: $tType] : fun(list(X0),fun(list(X0),list(X0))) ).

tff(func_def_1191,type,
    upt: ( nat * nat ) > list(nat) ).

tff(func_def_1192,type,
    upto: ( int * int ) > list(int) ).

tff(func_def_1193,type,
    upto_aux: ( int * int * list(int) ) > list(int) ).

tff(func_def_1194,type,
    upto_rel: fun(product_prod(int,int),fun(product_prod(int,int),$o)) ).

tff(func_def_1195,type,
    zip: 
      !>[X0: $tType,X1: $tType] : ( ( list(X0) * list(X1) ) > list(product_prod(X0,X1)) ) ).

tff(func_def_1196,type,
    dom: 
      !>[X0: $tType,X1: $tType] : ( fun(X0,option(X1)) > set(X0) ) ).

tff(func_def_1197,type,
    graph: 
      !>[X0: $tType,X1: $tType] : ( fun(X0,option(X1)) > set(product_prod(X0,X1)) ) ).

tff(func_def_1198,type,
    map_add: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,option(X1)) * fun(X0,option(X1)) ) > fun(X0,option(X1)) ) ).

tff(func_def_1199,type,
    map_of: 
      !>[X0: $tType,X1: $tType] : ( list(product_prod(X0,X1)) > fun(X0,option(X1)) ) ).

tff(func_def_1200,type,
    map_upds: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,option(X1)) * list(X0) * list(X1) ) > fun(X0,option(X1)) ) ).

tff(func_def_1201,type,
    ran: 
      !>[X0: $tType,X1: $tType] : ( fun(X0,option(X1)) > set(X1) ) ).

tff(func_def_1202,type,
    restrict_map: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,option(X1)) * set(X0) ) > fun(X0,option(X1)) ) ).

tff(func_def_1203,type,
    suc: fun(nat,nat) ).

tff(func_def_1204,type,
    compow: 
      !>[X0: $tType] : fun(nat,fun(X0,X0)) ).

tff(func_def_1205,type,
    funpow: 
      !>[X0: $tType] : fun(nat,fun(fun(X0,X0),fun(X0,X0))) ).

tff(func_def_1206,type,
    case_nat: 
      !>[X0: $tType] : ( ( X0 * fun(nat,X0) * nat ) > X0 ) ).

tff(func_def_1207,type,
    pred: nat > nat ).

tff(func_def_1208,type,
    semiring_1_of_nat: 
      !>[X0: $tType] : fun(nat,X0) ).

tff(func_def_1209,type,
    semiri8178284476397505188at_aux: 
      !>[X0: $tType] : ( ( fun(X0,X0) * nat * X0 ) > X0 ) ).

tff(func_def_1210,type,
    size_size: 
      !>[X0: $tType] : fun(X0,nat) ).

tff(func_def_1211,type,
    nat_prod_decode_aux: ( nat * nat ) > product_prod(nat,nat) ).

tff(func_def_1212,type,
    nat_pr5047031295181774490ux_rel: fun(product_prod(nat,nat),fun(product_prod(nat,nat),$o)) ).

tff(func_def_1213,type,
    nat_set_decode: nat > set(nat) ).

tff(func_def_1214,type,
    nat_set_encode: fun(set(nat),nat) ).

tff(func_def_1215,type,
    root: nat > fun(real,real) ).

tff(func_def_1216,type,
    sqrt: fun(real,real) ).

tff(func_def_1217,type,
    bitM: num > num ).

tff(func_def_1218,type,
    inc: num > num ).

tff(func_def_1219,type,
    neg_numeral_dbl_dec: 
      !>[X0: $tType] : ( X0 > X0 ) ).

tff(func_def_1220,type,
    neg_numeral_dbl_inc: 
      !>[X0: $tType] : ( X0 > X0 ) ).

tff(func_def_1221,type,
    bit0: fun(num,num) ).

tff(func_def_1222,type,
    bit1: fun(num,num) ).

tff(func_def_1223,type,
    one2: num ).

tff(func_def_1224,type,
    case_num: 
      !>[X0: $tType] : ( ( X0 * fun(num,X0) * fun(num,X0) * num ) > X0 ) ).

tff(func_def_1225,type,
    size_num: num > nat ).

tff(func_def_1226,type,
    num_of_nat: nat > num ).

tff(func_def_1227,type,
    numeral_numeral: 
      !>[X0: $tType] : fun(num,X0) ).

tff(func_def_1228,type,
    pred_numeral: num > nat ).

tff(func_def_1229,type,
    none: 
      !>[X0: $tType] : option(X0) ).

tff(func_def_1230,type,
    some: 
      !>[X0: $tType] : fun(X0,option(X0)) ).

tff(func_def_1231,type,
    case_option: 
      !>[X0: $tType,X1: $tType] : ( ( X0 * fun(X1,X0) * option(X1) ) > X0 ) ).

tff(func_def_1232,type,
    map_option: 
      !>[X0: $tType,X1: $tType] : ( fun(X0,X1) > fun(option(X0),option(X1)) ) ).

tff(func_def_1233,type,
    rec_option: 
      !>[X0: $tType,X1: $tType] : ( ( X0 * fun(X1,X0) ) > fun(option(X1),X0) ) ).

tff(func_def_1234,type,
    size_option: 
      !>[X0: $tType] : ( fun(X0,nat) > fun(option(X0),nat) ) ).

tff(func_def_1235,type,
    the2: 
      !>[X0: $tType] : fun(option(X0),X0) ).

tff(func_def_1236,type,
    these: 
      !>[X0: $tType] : ( set(option(X0)) > set(X0) ) ).

tff(func_def_1237,type,
    order_532582986084564980_cclfp: 
      !>[X0: $tType] : ( fun(X0,X0) > X0 ) ).

tff(func_def_1238,type,
    order_Above: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * set(X0) ) > set(X0) ) ).

tff(func_def_1239,type,
    order_Under: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * set(X0) ) > set(X0) ) ).

tff(func_def_1240,type,
    order_UnderS: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * set(X0) ) > set(X0) ) ).

tff(func_def_1241,type,
    order_aboveS: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * X0 ) > set(X0) ) ).

tff(func_def_1242,type,
    order_relation_of: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,$o)) * set(X0) ) > set(product_prod(X0,X0)) ) ).

tff(func_def_1243,type,
    order_under: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * X0 ) > set(X0) ) ).

tff(func_def_1244,type,
    order_underS: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * X0 ) > set(X0) ) ).

tff(func_def_1245,type,
    bot_bot: 
      !>[X0: $tType] : X0 ).

tff(func_def_1246,type,
    least: 
      !>[X0: $tType] : ( fun(X0,fun(X0,$o)) > fun(fun(X0,$o),X0) ) ).

tff(func_def_1247,type,
    max: 
      !>[X0: $tType] : ( fun(X0,fun(X0,$o)) > fun(X0,fun(X0,X0)) ) ).

tff(func_def_1248,type,
    min: 
      !>[X0: $tType] : ( fun(X0,fun(X0,$o)) > fun(X0,fun(X0,X0)) ) ).

tff(func_def_1249,type,
    ord_Least: 
      !>[X0: $tType] : ( fun(X0,$o) > X0 ) ).

tff(func_def_1250,type,
    ord_less: 
      !>[X0: $tType] : fun(X0,fun(X0,$o)) ).

tff(func_def_1251,type,
    ord_less_eq: 
      !>[X0: $tType] : fun(X0,fun(X0,$o)) ).

tff(func_def_1252,type,
    ord_max: 
      !>[X0: $tType] : fun(X0,fun(X0,X0)) ).

tff(func_def_1253,type,
    ord_min: 
      !>[X0: $tType] : fun(X0,fun(X0,X0)) ).

tff(func_def_1254,type,
    order_Greatest: 
      !>[X0: $tType] : ( fun(X0,$o) > X0 ) ).

tff(func_def_1255,type,
    order_mono: 
      !>[X0: $tType,X1: $tType] : fun(fun(X0,X1),$o) ).

tff(func_def_1256,type,
    top_top: 
      !>[X0: $tType] : X0 ).

tff(func_def_1257,type,
    partial_flat_lub: 
      !>[X0: $tType] : ( ( X0 * set(X0) ) > X0 ) ).

tff(func_def_1258,type,
    partial_fun_ord: 
      !>[X0: $tType,X1: $tType,X2: $tType] : fun(fun(X0,fun(X1,$o)),fun(fun(X2,X0),fun(fun(X2,X1),$o))) ).

tff(func_def_1259,type,
    power2: 
      !>[X0: $tType] : ( ( X0 * fun(X0,fun(X0,X0)) * X0 * nat ) > X0 ) ).

tff(func_def_1260,type,
    power_power: 
      !>[X0: $tType] : fun(X0,fun(nat,X0)) ).

tff(func_def_1261,type,
    product_Pair: 
      !>[X0: $tType,X1: $tType] : fun(X0,fun(X1,product_prod(X0,X1))) ).

tff(func_def_1262,type,
    product_Sigma: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,set(X1)) ) > set(product_prod(X0,X1)) ) ).

tff(func_def_1263,type,
    product_apfst: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( fun(X0,X1) > fun(product_prod(X0,X2),product_prod(X1,X2)) ) ).

tff(func_def_1264,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_1265,type,
    product_map_prod: 
      !>[X0: $tType,X1: $tType,X2: $tType,X3: $tType] : ( ( fun(X0,X1) * fun(X2,X3) ) > fun(product_prod(X0,X2),product_prod(X1,X3)) ) ).

tff(func_def_1266,type,
    product_rec_prod: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( fun(X0,fun(X1,X2)) * product_prod(X0,X1) ) > X2 ) ).

tff(func_def_1267,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_1268,type,
    product_fst: 
      !>[X0: $tType,X1: $tType] : fun(product_prod(X0,X1),X0) ).

tff(func_def_1269,type,
    product_snd: 
      !>[X0: $tType,X1: $tType] : fun(product_prod(X0,X1),X1) ).

tff(func_def_1270,type,
    product_product: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * set(X1) ) > set(product_prod(X0,X1)) ) ).

tff(func_def_1271,type,
    type2: 
      !>[X0: $tType] : itself(X0) ).

tff(func_def_1272,type,
    abs_Rat: fun(product_prod(int,int),rat) ).

tff(func_def_1273,type,
    fract: fun(int,fun(int,rat)) ).

tff(func_def_1274,type,
    frct: product_prod(int,int) > rat ).

tff(func_def_1275,type,
    rep_Rat: fun(rat,product_prod(int,int)) ).

tff(func_def_1276,type,
    field_char_0_Rats: 
      !>[X0: $tType] : set(X0) ).

tff(func_def_1277,type,
    normalize: product_prod(int,int) > product_prod(int,int) ).

tff(func_def_1278,type,
    of_int: int > rat ).

tff(func_def_1279,type,
    pcr_rat: fun(product_prod(int,int),fun(rat,$o)) ).

tff(func_def_1280,type,
    positive: fun(rat,$o) ).

tff(func_def_1281,type,
    quotient_of: rat > product_prod(int,int) ).

tff(func_def_1282,type,
    ratrel: fun(product_prod(int,int),fun(product_prod(int,int),$o)) ).

tff(func_def_1283,type,
    real2: fun(nat,rat) > real ).

tff(func_def_1284,type,
    pcr_real: fun(fun(nat,rat),fun(real,$o)) ).

tff(func_def_1285,type,
    positive2: fun(real,$o) ).

tff(func_def_1286,type,
    realrel: fun(fun(nat,rat),fun(fun(nat,rat),$o)) ).

tff(func_def_1287,type,
    rep_real: ( real * nat ) > rat ).

tff(func_def_1288,type,
    real_V4425403222259421789struct: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,X1) * X0 ) > X1 ) ).

tff(func_def_1289,type,
    real_Vector_dim: 
      !>[X0: $tType] : ( set(X0) > nat ) ).

tff(func_def_1290,type,
    real_V557655796197034286t_dist: 
      !>[X0: $tType] : ( ( X0 * X0 ) > real ) ).

tff(func_def_1291,type,
    real_V4986007116245087402_basis: 
      !>[X0: $tType] : ( set(X0) > set(X0) ) ).

tff(func_def_1292,type,
    real_V7770717601297561774m_norm: 
      !>[X0: $tType] : ( X0 > real ) ).

tff(func_def_1293,type,
    real_Vector_of_real: 
      !>[X0: $tType] : ( real > X0 ) ).

tff(func_def_1294,type,
    real_V7696804695334737415tation: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > fun(X0,real) ) ).

tff(func_def_1295,type,
    real_V8093663219630862766scaleR: 
      !>[X0: $tType] : ( real > fun(X0,X0) ) ).

tff(func_def_1296,type,
    real_Vector_span: 
      !>[X0: $tType] : ( set(X0) > set(X0) ) ).

tff(func_def_1297,type,
    field2: 
      !>[X0: $tType] : ( set(product_prod(X0,X0)) > set(X0) ) ).

tff(func_def_1298,type,
    id: 
      !>[X0: $tType] : set(product_prod(X0,X0)) ).

tff(func_def_1299,type,
    id_on: 
      !>[X0: $tType] : ( set(X0) > set(product_prod(X0,X0)) ) ).

tff(func_def_1300,type,
    image: 
      !>[X0: $tType,X1: $tType] : ( ( set(product_prod(X0,X1)) * set(X0) ) > set(X1) ) ).

tff(func_def_1301,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_1302,type,
    divide_divide: 
      !>[X0: $tType] : ( ( X0 * X0 ) > X0 ) ).

tff(func_def_1303,type,
    dvd_dvd: 
      !>[X0: $tType] : fun(X0,fun(X0,$o)) ).

tff(func_def_1304,type,
    modulo_modulo: 
      !>[X0: $tType] : ( ( X0 * X0 ) > X0 ) ).

tff(func_def_1305,type,
    zero_neq_one_of_bool: 
      !>[X0: $tType] : fun($o,X0) ).

tff(func_def_1306,type,
    suminf: 
      !>[X0: $tType] : ( fun(nat,X0) > X0 ) ).

tff(func_def_1307,type,
    collect: 
      !>[X0: $tType] : fun(fun(X0,$o),set(X0)) ).

tff(func_def_1308,type,
    pow: 
      !>[X0: $tType] : ( set(X0) > set(set(X0)) ) ).

tff(func_def_1309,type,
    disjnt: 
      !>[X0: $tType] : fun(set(X0),fun(set(X0),$o)) ).

tff(func_def_1310,type,
    filter3: 
      !>[X0: $tType] : ( ( fun(X0,$o) * set(X0) ) > set(X0) ) ).

tff(func_def_1311,type,
    image2: 
      !>[X0: $tType,X1: $tType] : ( fun(X0,X1) > fun(set(X0),set(X1)) ) ).

tff(func_def_1312,type,
    insert2: 
      !>[X0: $tType] : fun(X0,fun(set(X0),set(X0))) ).

tff(func_def_1313,type,
    remove: 
      !>[X0: $tType] : fun(X0,fun(set(X0),set(X0))) ).

tff(func_def_1314,type,
    the_elem: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_1315,type,
    vimage: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * set(X1) ) > set(X0) ) ).

tff(func_def_1316,type,
    set_fo6178422350223883121st_nat: 
      !>[X0: $tType] : ( ( fun(nat,fun(X0,X0)) * nat * nat * X0 ) > X0 ) ).

tff(func_def_1317,type,
    set_fo1817059534552279752at_rel: 
      !>[X0: $tType] : fun(product_prod(fun(nat,fun(X0,X0)),product_prod(nat,product_prod(nat,X0))),fun(product_prod(fun(nat,fun(X0,X0)),product_prod(nat,product_prod(nat,X0))),$o)) ).

tff(func_def_1318,type,
    set_ord_atLeast: 
      !>[X0: $tType] : ( X0 > set(X0) ) ).

tff(func_def_1319,type,
    set_or1337092689740270186AtMost: 
      !>[X0: $tType] : ( ( X0 * X0 ) > set(X0) ) ).

tff(func_def_1320,type,
    set_or7035219750837199246ssThan: 
      !>[X0: $tType] : ( ( X0 * X0 ) > set(X0) ) ).

tff(func_def_1321,type,
    set_ord_atMost: 
      !>[X0: $tType] : ( X0 > set(X0) ) ).

tff(func_def_1322,type,
    set_ord_greaterThan: 
      !>[X0: $tType] : fun(X0,set(X0)) ).

tff(func_def_1323,type,
    set_or3652927894154168847AtMost: 
      !>[X0: $tType] : ( ( X0 * X0 ) > set(X0) ) ).

tff(func_def_1324,type,
    set_or5935395276787703475ssThan: 
      !>[X0: $tType] : ( ( X0 * X0 ) > set(X0) ) ).

tff(func_def_1325,type,
    set_ord_lessThan: 
      !>[X0: $tType] : ( X0 > set(X0) ) ).

tff(func_def_1326,type,
    topolo3827282254853284352ce_Lim: 
      !>[X0: $tType,X1: $tType] : ( ( filter(X0) * fun(X0,X1) ) > X1 ) ).

tff(func_def_1327,type,
    topolo174197925503356063within: 
      !>[X0: $tType] : ( ( X0 * set(X0) ) > filter(X0) ) ).

tff(func_def_1328,type,
    topolo7230453075368039082e_nhds: 
      !>[X0: $tType] : ( X0 > filter(X0) ) ).

tff(func_def_1329,type,
    topolo7806501430040627800ormity: 
      !>[X0: $tType] : filter(product_prod(X0,X0)) ).

tff(func_def_1330,type,
    arccos: fun(real,real) ).

tff(func_def_1331,type,
    arcosh: 
      !>[X0: $tType] : fun(X0,X0) ).

tff(func_def_1332,type,
    arcsin: fun(real,real) ).

tff(func_def_1333,type,
    arctan: real > real ).

tff(func_def_1334,type,
    arsinh: 
      !>[X0: $tType] : ( X0 > X0 ) ).

tff(func_def_1335,type,
    artanh: 
      !>[X0: $tType] : fun(X0,X0) ).

tff(func_def_1336,type,
    cos: 
      !>[X0: $tType] : ( X0 > X0 ) ).

tff(func_def_1337,type,
    cos_coeff: nat > real ).

tff(func_def_1338,type,
    cosh: 
      !>[X0: $tType] : ( X0 > X0 ) ).

tff(func_def_1339,type,
    cot: 
      !>[X0: $tType] : fun(X0,X0) ).

tff(func_def_1340,type,
    diffs: 
      !>[X0: $tType] : ( fun(nat,X0) > fun(nat,X0) ) ).

tff(func_def_1341,type,
    exp: 
      !>[X0: $tType] : ( X0 > X0 ) ).

tff(func_def_1342,type,
    ln_ln: 
      !>[X0: $tType] : fun(X0,X0) ).

tff(func_def_1343,type,
    log: real > fun(real,real) ).

tff(func_def_1344,type,
    pi: real ).

tff(func_def_1345,type,
    powr: 
      !>[X0: $tType] : ( ( X0 * X0 ) > X0 ) ).

tff(func_def_1346,type,
    sin: 
      !>[X0: $tType] : ( X0 > X0 ) ).

tff(func_def_1347,type,
    sin_coeff: nat > real ).

tff(func_def_1348,type,
    sinh: 
      !>[X0: $tType] : ( X0 > X0 ) ).

tff(func_def_1349,type,
    tan: 
      !>[X0: $tType] : fun(X0,X0) ).

tff(func_def_1350,type,
    tanh: 
      !>[X0: $tType] : fun(X0,X0) ).

tff(func_def_1351,type,
    transitive_ntrancl: 
      !>[X0: $tType] : ( ( nat * set(product_prod(X0,X0)) ) > set(product_prod(X0,X0)) ) ).

tff(func_def_1352,type,
    transitive_rtrancl: 
      !>[X0: $tType] : ( set(product_prod(X0,X0)) > set(product_prod(X0,X0)) ) ).

tff(func_def_1353,type,
    transitive_trancl: 
      !>[X0: $tType] : ( set(product_prod(X0,X0)) > set(product_prod(X0,X0)) ) ).

tff(func_def_1354,type,
    vEBT_Leaf: ( $o * $o ) > vEBT_VEBT ).

tff(func_def_1355,type,
    vEBT_Node: ( option(product_prod(nat,nat)) * nat * list(vEBT_VEBT) * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_1356,type,
    vEBT_rec_VEBT: 
      !>[X0: $tType] : ( ( fun(option(product_prod(nat,nat)),fun(nat,fun(list(product_prod(vEBT_VEBT,X0)),fun(vEBT_VEBT,fun(X0,X0))))) * fun($o,fun($o,X0)) * vEBT_VEBT ) > X0 ) ).

tff(func_def_1357,type,
    vEBT_size_VEBT: fun(vEBT_VEBT,nat) ).

tff(func_def_1358,type,
    vEBT_V8194947554948674370ptions: vEBT_VEBT > fun(nat,$o) ).

tff(func_def_1359,type,
    vEBT_VEBT_high: ( nat * nat ) > nat ).

tff(func_def_1360,type,
    vEBT_VEBT_low: ( nat * nat ) > nat ).

tff(func_def_1361,type,
    vEBT_V4351362008482014158ma_rel: fun(product_prod(vEBT_VEBT,nat),fun(product_prod(vEBT_VEBT,nat),$o)) ).

tff(func_def_1362,type,
    vEBT_V5765760719290551771er_rel: fun(product_prod(vEBT_VEBT,nat),fun(product_prod(vEBT_VEBT,nat),$o)) ).

tff(func_def_1363,type,
    vEBT_VEBT_valid_rel: fun(product_prod(vEBT_VEBT,nat),fun(product_prod(vEBT_VEBT,nat),$o)) ).

tff(func_def_1364,type,
    vEBT_set_vebt: vEBT_VEBT > set(nat) ).

tff(func_def_1365,type,
    vEBT_vebt_buildup: nat > vEBT_VEBT ).

tff(func_def_1366,type,
    vEBT_v4011308405150292612up_rel: fun(nat,fun(nat,$o)) ).

tff(func_def_1367,type,
    vEBT_vebt_delete: ( vEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_1368,type,
    vEBT_vebt_delete_rel: fun(product_prod(vEBT_VEBT,nat),fun(product_prod(vEBT_VEBT,nat),$o)) ).

tff(func_def_1369,type,
    vEBT_vebt_insert: ( vEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_1370,type,
    vEBT_vebt_insert_rel: fun(product_prod(vEBT_VEBT,nat),fun(product_prod(vEBT_VEBT,nat),$o)) ).

tff(func_def_1371,type,
    vEBT_VEBT_bit_concat: ( nat * nat * nat ) > nat ).

tff(func_def_1372,type,
    vEBT_V6963167321098673237ll_rel: fun(vEBT_VEBT,fun(vEBT_VEBT,$o)) ).

tff(func_def_1373,type,
    vEBT_VEBT_set_vebt: vEBT_VEBT > set(nat) ).

tff(func_def_1374,type,
    vEBT_vebt_member: vEBT_VEBT > fun(nat,$o) ).

tff(func_def_1375,type,
    vEBT_vebt_member_rel: fun(product_prod(vEBT_VEBT,nat),fun(product_prod(vEBT_VEBT,nat),$o)) ).

tff(func_def_1376,type,
    vEBT_VEBT_add: fun(option(nat),fun(option(nat),option(nat))) ).

tff(func_def_1377,type,
    vEBT_VEBT_mul: fun(option(nat),fun(option(nat),option(nat))) ).

tff(func_def_1378,type,
    vEBT_V2048590022279873568_shift: 
      !>[X0: $tType] : ( fun(X0,fun(X0,X0)) > fun(option(X0),fun(option(X0),option(X0))) ) ).

tff(func_def_1379,type,
    vEBT_VEBT_power: fun(option(nat),fun(option(nat),option(nat))) ).

tff(func_def_1380,type,
    vEBT_vebt_maxt: vEBT_VEBT > option(nat) ).

tff(func_def_1381,type,
    vEBT_vebt_maxt_rel: fun(vEBT_VEBT,fun(vEBT_VEBT,$o)) ).

tff(func_def_1382,type,
    vEBT_vebt_mint: vEBT_VEBT > option(nat) ).

tff(func_def_1383,type,
    vEBT_vebt_mint_rel: fun(vEBT_VEBT,fun(vEBT_VEBT,$o)) ).

tff(func_def_1384,type,
    vEBT_vebt_pred: ( vEBT_VEBT * nat ) > option(nat) ).

tff(func_def_1385,type,
    vEBT_vebt_pred_rel: fun(product_prod(vEBT_VEBT,nat),fun(product_prod(vEBT_VEBT,nat),$o)) ).

tff(func_def_1386,type,
    vEBT_vebt_succ: ( vEBT_VEBT * nat ) > option(nat) ).

tff(func_def_1387,type,
    vEBT_vebt_succ_rel: fun(product_prod(vEBT_VEBT,nat),fun(product_prod(vEBT_VEBT,nat),$o)) ).

tff(func_def_1388,type,
    finite_psubset: 
      !>[X0: $tType] : set(product_prod(set(X0),set(X0))) ).

tff(func_def_1389,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_1390,type,
    max_ext: 
      !>[X0: $tType] : ( set(product_prod(X0,X0)) > set(product_prod(set(X0),set(X0))) ) ).

tff(func_def_1391,type,
    max_extp: 
      !>[X0: $tType] : ( fun(X0,fun(X0,$o)) > fun(set(X0),fun(set(X0),$o)) ) ).

tff(func_def_1392,type,
    measure: 
      !>[X0: $tType] : ( fun(X0,nat) > set(product_prod(X0,X0)) ) ).

tff(func_def_1393,type,
    min_ext: 
      !>[X0: $tType] : ( set(product_prod(X0,X0)) > set(product_prod(set(X0),set(X0))) ) ).

tff(func_def_1394,type,
    mlex_prod: 
      !>[X0: $tType] : ( ( fun(X0,nat) * set(product_prod(X0,X0)) ) > set(product_prod(X0,X0)) ) ).

tff(func_def_1395,type,
    pred_nat: set(product_prod(nat,nat)) ).

tff(func_def_1396,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_1397,type,
    chains: 
      !>[X0: $tType] : ( set(product_prod(X0,X0)) > set(set(X0)) ) ).

tff(func_def_1398,type,
    chains2: 
      !>[X0: $tType] : ( set(set(X0)) > set(set(set(X0))) ) ).

tff(func_def_1399,type,
    init_seg_of: 
      !>[X0: $tType] : set(product_prod(set(product_prod(X0,X0)),set(product_prod(X0,X0)))) ).

tff(func_def_1400,type,
    pred_chain: 
      !>[X0: $tType] : ( ( set(X0) * fun(X0,fun(X0,$o)) ) > fun(set(X0),$o) ) ).

tff(func_def_1401,type,
    aa: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * X0 ) > X1 ) ).

tff(func_def_1402,type,
    fChoice: 
      !>[X0: $tType] : ( fun(X0,$o) > X0 ) ).

tff(func_def_1403,type,
    fNot: fun($o,$o) ).

tff(func_def_1404,type,
    fequal: 
      !>[X0: $tType] : fun(X0,fun(X0,$o)) ).

tff(func_def_1405,type,
    deg: nat ).

tff(func_def_1406,type,
    m: nat ).

tff(func_def_1407,type,
    ma: nat ).

tff(func_def_1408,type,
    maxi: nat ).

tff(func_def_1409,type,
    mi: nat ).

tff(func_def_1410,type,
    na: nat ).

tff(func_def_1411,type,
    summary: vEBT_VEBT ).

tff(func_def_1412,type,
    treeList: list(vEBT_VEBT) ).

tff(func_def_1413,type,
    xa: nat ).

tff(func_def_1414,type,
    ya: nat ).

tff(func_def_1415,type,
    l0: nat ).

tff(func_def_1416,type,
    h1: nat ).

tff(func_def_1417,type,
    maxlow2: option(nat) ).

tff(func_def_1418,type,
    sc3: option(nat) ).

tff(func_def_1419,type,
    l4: nat ).

tff(func_def_1420,type,
    h5: nat ).

tff(func_def_1421,type,
    maxlow6: option(nat) ).

tff(func_def_1422,type,
    sc7: option(nat) ).

tff(func_def_1423,type,
    l8: nat ).

tff(func_def_1424,type,
    h9: nat ).

tff(func_def_1425,type,
    minlow10: option(nat) ).

tff(func_def_1426,type,
    pr11: option(nat) ).

tff(func_def_1427,type,
    l12: nat ).

tff(func_def_1428,type,
    h13: nat ).

tff(func_def_1429,type,
    minlow14: option(nat) ).

tff(func_def_1430,type,
    pr15: option(nat) ).

tff(func_def_1431,type,
    sn16: vEBT_VEBT ).

tff(func_def_1432,type,
    maxs17: option(nat) ).

tff(func_def_1433,type,
    maxs18: option(nat) ).

tff(func_def_1434,type,
    newnode19: vEBT_VEBT ).

tff(func_def_1435,type,
    newlist20: list(vEBT_VEBT) ).

tff(func_def_1436,type,
    sn21: vEBT_VEBT ).

tff(func_def_1437,type,
    maxs22: option(nat) ).

tff(func_def_1438,type,
    xn23: nat ).

tff(func_def_1439,type,
    minn24: nat ).

tff(func_def_1440,type,
    h25: nat ).

tff(func_def_1441,type,
    newnode26: vEBT_VEBT ).

tff(func_def_1442,type,
    newlist27: list(vEBT_VEBT) ).

tff(func_def_1443,type,
    sn28: vEBT_VEBT ).

tff(func_def_1444,type,
    maxs29: option(nat) ).

tff(func_def_1445,type,
    newnode30: vEBT_VEBT ).

tff(func_def_1446,type,
    newlist31: list(vEBT_VEBT) ).

tff(func_def_1447,type,
    sn32: vEBT_VEBT ).

tff(func_def_1448,type,
    maxs33: option(nat) ).

tff(func_def_1449,type,
    sn34: vEBT_VEBT ).

tff(func_def_1450,type,
    maxs35: option(nat) ).

tff(func_def_1451,type,
    maxs36: option(nat) ).

tff(func_def_1452,type,
    xn37: nat ).

tff(func_def_1453,type,
    h38: nat ).

tff(func_def_1454,type,
    newnode39: vEBT_VEBT ).

tff(func_def_1455,type,
    newlist40: list(vEBT_VEBT) ).

tff(func_def_1456,type,
    sn41: vEBT_VEBT ).

tff(func_def_1457,type,
    maxs42: option(nat) ).

tff(func_def_1458,type,
    pos43: nat ).

tff(func_def_1459,type,
    pos44: nat ).

tff(func_def_1460,type,
    h45: nat ).

tff(func_def_1461,type,
    pos46: nat ).

tff(func_def_1462,type,
    pos47: nat ).

tff(func_def_1463,type,
    pos48: nat ).

tff(func_def_1464,type,
    pos49: nat ).

tff(func_def_1465,type,
    pos50: nat ).

tff(func_def_1466,type,
    pos51: nat ).

tff(func_def_1467,type,
    h52: nat ).

tff(func_def_1468,type,
    pos53: nat ).

tff(func_def_1469,type,
    pos54: nat ).

tff(func_def_1470,type,
    pos55: nat ).

tff(func_def_1471,type,
    pos56: nat ).

tff(func_def_1472,type,
    xn57: nat ).

tff(func_def_1473,type,
    h58: nat ).

tff(func_def_1474,type,
    h59: nat ).

tff(func_def_1475,type,
    h60: nat ).

tff(func_def_1476,type,
    xn61: nat ).

tff(func_def_1477,type,
    h62: nat ).

tff(func_def_1478,type,
    l63: nat ).

tff(func_def_1479,type,
    h64: nat ).

tff(func_def_1480,type,
    maxlow65: option(nat) ).

tff(func_def_1481,type,
    sc66: option(nat) ).

tff(func_def_1482,type,
    l67: nat ).

tff(func_def_1483,type,
    h68: nat ).

tff(func_def_1484,type,
    minlow69: option(nat) ).

tff(func_def_1485,type,
    pr70: option(nat) ).

tff(func_def_1486,type,
    xn71: nat ).

tff(func_def_1487,type,
    minn72: nat ).

tff(func_def_1488,type,
    h73: nat ).

tff(func_def_1489,type,
    newnode74: vEBT_VEBT ).

tff(func_def_1490,type,
    newlist75: list(vEBT_VEBT) ).

tff(func_def_1491,type,
    sn76: vEBT_VEBT ).

tff(func_def_1492,type,
    maxs77: option(nat) ).

tff(func_def_1493,type,
    xn78: nat ).

tff(func_def_1494,type,
    minn79: nat ).

tff(func_def_1495,type,
    h80: nat ).

tff(func_def_1496,type,
    newnode81: vEBT_VEBT ).

tff(func_def_1497,type,
    newlist82: list(vEBT_VEBT) ).

tff(func_def_1498,type,
    sn83: vEBT_VEBT ).

tff(func_def_1499,type,
    maxs84: option(nat) ).

tff(func_def_1500,type,
    l85: nat ).

tff(func_def_1501,type,
    h86: nat ).

tff(func_def_1502,type,
    maxlow87: option(nat) ).

tff(func_def_1503,type,
    sc88: option(nat) ).

tff(func_def_1504,type,
    l89: nat ).

tff(func_def_1505,type,
    h90: nat ).

tff(func_def_1506,type,
    minlow91: option(nat) ).

tff(func_def_1507,type,
    pr92: option(nat) ).

tff(func_def_1508,type,
    l93: nat ).

tff(func_def_1509,type,
    h94: nat ).

tff(func_def_1510,type,
    maxlow95: option(nat) ).

tff(func_def_1511,type,
    sc96: option(nat) ).

tff(func_def_1512,type,
    l97: nat ).

tff(func_def_1513,type,
    h98: nat ).

tff(func_def_1514,type,
    minlow99: option(nat) ).

tff(func_def_1515,type,
    pr100: option(nat) ).

tff(func_def_1516,type,
    xn101: nat ).

tff(func_def_1517,type,
    minn102: nat ).

tff(func_def_1518,type,
    h103: nat ).

tff(func_def_1519,type,
    newnode104: vEBT_VEBT ).

tff(func_def_1520,type,
    newlist105: list(vEBT_VEBT) ).

tff(func_def_1521,type,
    sn106: vEBT_VEBT ).

tff(func_def_1522,type,
    maxs107: option(nat) ).

tff(func_def_1523,type,
    xn108: nat ).

tff(func_def_1524,type,
    h109: nat ).

tff(func_def_1525,type,
    h110: nat ).

tff(func_def_1526,type,
    h111: nat ).

tff(func_def_1527,type,
    pos112: nat ).

tff(func_def_1528,type,
    pos113: nat ).

tff(func_def_1529,type,
    pos114: nat ).

tff(func_def_1530,type,
    h115: nat ).

tff(func_def_1531,type,
    pos116: nat ).

tff(func_def_1532,type,
    pos117: nat ).

tff(func_def_1533,type,
    pos118: nat ).

tff(func_def_1534,type,
    pos119: nat ).

tff(func_def_1535,type,
    pos120: nat ).

tff(func_def_1536,type,
    pos121: nat ).

tff(func_def_1537,type,
    half122: nat ).

tff(func_def_1538,type,
    half123: nat ).

tff(func_def_1539,type,
    half124: nat ).

tff(func_def_1540,type,
    half125: nat ).

tff(func_def_1541,type,
    half126: nat ).

tff(func_def_1542,type,
    half127: nat ).

tff(func_def_1543,type,
    l128: 
      !>[X0: $tType] : X0 ).

tff(func_def_1544,type,
    d129: int ).

tff(func_def_1545,type,
    l130: code_integer ).

tff(func_def_1546,type,
    a2131: int ).

tff(func_def_1547,type,
    a2132: int ).

tff(func_def_1548,type,
    n133: nat ).

tff(func_def_1549,type,
    m2134: nat ).

tff(func_def_1550,type,
    n135: nat ).

tff(func_def_1551,type,
    m2136: nat ).

tff(func_def_1552,type,
    n137: nat ).

tff(func_def_1553,type,
    m2138: nat ).

tff(func_def_1554,type,
    n139: nat ).

tff(func_def_1555,type,
    m2140: nat ).

tff(func_def_1556,type,
    n141: nat ).

tff(func_def_1557,type,
    m2142: nat ).

tff(func_def_1558,type,
    n143: nat ).

tff(func_def_1559,type,
    m2144: nat ).

tff(func_def_1560,type,
    n145: nat ).

tff(func_def_1561,type,
    m2146: nat ).

tff(func_def_1562,type,
    m2147: 
      !>[X0: $tType] : X0 ).

tff(func_def_1563,type,
    a3148: 
      !>[X0: $tType] : set(set(X0)) ).

tff(func_def_1564,type,
    xss149: 
      !>[X0: $tType] : list(list(X0)) ).

tff(func_def_1565,type,
    m2150: 
      !>[X0: $tType] : X0 ).

tff(func_def_1566,type,
    k151: code_integer ).

tff(func_def_1567,type,
    l152: code_integer ).

tff(func_def_1568,type,
    l2153: int ).

tff(func_def_1569,type,
    m3154: a ).

tff(func_def_1570,type,
    l2155: nat ).

tff(func_def_1571,type,
    l3156: nat ).

tff(func_def_1574,type,
    iG157: 
      !>[X0: $tType] : ( ( nat * nat * list(X0) * X0 ) > X0 ) ).

tff(func_def_1575,type,
    iG158: 
      !>[X0: $tType] : ( ( X0 * X0 * X0 ) > X0 ) ).

tff(func_def_1576,type,
    iG159: 
      !>[X0: $tType] : ( X0 > X0 ) ).

tff(func_def_1577,type,
    iG160: ( nat * nat * nat ) > nat ).

tff(func_def_1578,type,
    iG163: nat ).

tff(func_def_1579,type,
    iG164: nat ).

tff(func_def_1580,type,
    iG167: 
      !>[X0: $tType] : ( ( X0 * X0 * X0 ) > $o ) ).

tff(func_def_1581,type,
    iG168: 
      !>[X0: $tType] : ( ( X0 * X0 * X0 ) > $o ) ).

tff(func_def_1582,type,
    iG169: 
      !>[X0: $tType] : ( ( X0 * X0 * X0 ) > $o ) ).

tff(func_def_1583,type,
    iG170: 
      !>[X0: $tType] : ( ( X0 * X0 * X0 ) > $o ) ).

tff(func_def_1584,type,
    iG173: 
      !>[X0: $tType] : ( ( X0 * X0 * X0 ) > X0 ) ).

tff(func_def_1585,type,
    iG174: 
      !>[X0: $tType] : ( ( X0 * X0 * X0 ) > X0 ) ).

tff(func_def_1586,type,
    iG175: 
      !>[X0: $tType] : ( ( X0 * X0 * X0 ) > $o ) ).

tff(func_def_1587,type,
    iG176: 
      !>[X0: $tType] : ( ( X0 * X0 * X0 ) > $o ) ).

tff(func_def_1588,type,
    iG177: 
      !>[X0: $tType] : ( ( X0 * X0 * X0 ) > $o ) ).

tff(func_def_1589,type,
    iG178: 
      !>[X0: $tType] : ( ( X0 * X0 * X0 ) > $o ) ).

tff(func_def_1590,type,
    iG179: 
      !>[X0: $tType] : ( ( X0 * num * X0 ) > $o ) ).

tff(func_def_1591,type,
    iG180: 
      !>[X0: $tType] : ( ( X0 * num * X0 ) > $o ) ).

tff(func_def_1592,type,
    iG181: 
      !>[X0: $tType] : ( ( X0 * num * X0 ) > $o ) ).

tff(func_def_1593,type,
    iG182: 
      !>[X0: $tType] : ( ( X0 * num * X0 ) > $o ) ).

tff(func_def_1594,type,
    iG183: 
      !>[X0: $tType] : ( ( X0 * num * X0 ) > $o ) ).

tff(func_def_1595,type,
    iG184: 
      !>[X0: $tType] : ( ( X0 * num * X0 ) > $o ) ).

tff(func_def_1596,type,
    iG185: 
      !>[X0: $tType] : ( ( X0 * num * X0 ) > $o ) ).

tff(func_def_1597,type,
    iG186: 
      !>[X0: $tType] : ( ( X0 * num * X0 ) > $o ) ).

tff(func_def_1598,type,
    iG187: 
      !>[X0: $tType] : ( nat > X0 ) ).

tff(func_def_1599,type,
    iG188: nat ).

tff(func_def_1600,type,
    iG189: nat ).

tff(func_def_1601,type,
    iG190: nat ).

tff(func_def_1602,type,
    iG191: ( nat * nat * nat * list(vEBT_VEBT) * nat ) > nat ).

tff(func_def_1603,type,
    iG192: ( nat * nat * nat * list(vEBT_VEBT) * nat ) > nat ).

tff(func_def_1604,type,
    iG193: ( nat * nat * list(vEBT_VEBT) * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_1605,type,
    iG194: ( nat * nat * list(vEBT_VEBT) * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_1606,type,
    iG195: 
      !>[X0: $tType] : ( ( X0 * X0 * X0 ) > X0 ) ).

tff(func_def_1607,type,
    iG196: 
      !>[X0: $tType] : ( ( num * num ) > X0 ) ).

tff(func_def_1608,type,
    iG197: 
      !>[X0: $tType] : ( ( X0 * X0 ) > X0 ) ).

tff(func_def_1609,type,
    bG198: $o > $o ).

tff(func_def_1610,type,
    bG199: $o > $o ).

tff(func_def_1611,type,
    bG200: $o > $o ).

tff(func_def_1612,type,
    bG201: $o > $o ).

tff(func_def_1613,type,
    bG202: $o > $o ).

tff(func_def_1614,type,
    bG203: $o > $o ).

tff(func_def_1615,type,
    bG204: $o > $o ).

tff(func_def_1616,type,
    bG205: $o > $o ).

tff(func_def_1617,type,
    bG206: $o > $o ).

tff(func_def_1618,type,
    bG207: $o > $o ).

tff(func_def_1619,type,
    bG208: $o > $o ).

tff(func_def_1620,type,
    bG209: $o > $o ).

tff(func_def_1621,type,
    bG210: $o > $o ).

tff(func_def_1622,type,
    bG211: $o > $o ).

tff(func_def_1623,type,
    bG212: $o > $o ).

tff(func_def_1624,type,
    bG213: $o > $o ).

tff(func_def_1625,type,
    bG214: $o > $o ).

tff(func_def_1626,type,
    bG215: $o > $o ).

tff(func_def_1627,type,
    bG216: $o > $o ).

tff(func_def_1628,type,
    bG217: $o > $o ).

tff(func_def_1629,type,
    bG218: $o > $o ).

tff(func_def_1630,type,
    bG219: $o > $o ).

tff(func_def_1631,type,
    bG220: $o > $o ).

tff(func_def_1632,type,
    bG221: $o > $o ).

tff(func_def_1633,type,
    bG222: $o > $o ).

tff(func_def_1634,type,
    bG223: $o > $o ).

tff(func_def_1635,type,
    bG224: $o > $o ).

tff(func_def_1636,type,
    bG225: $o > $o ).

tff(func_def_1637,type,
    bG226: $o > $o ).

tff(func_def_1638,type,
    bG227: $o > $o ).

tff(func_def_1639,type,
    bG228: $o > $o ).

tff(func_def_1640,type,
    bG229: $o > $o ).

tff(func_def_1641,type,
    bG230: $o > $o ).

tff(func_def_1642,type,
    bG231: $o > $o ).

tff(func_def_1643,type,
    bG232: $o > $o ).

tff(func_def_1644,type,
    bG233: $o > $o ).

tff(func_def_1645,type,
    bG234: $o > $o ).

tff(func_def_1646,type,
    bG235: $o > $o ).

tff(func_def_1647,type,
    bG236: $o > $o ).

tff(func_def_1648,type,
    iG237: 
      !>[X0: $tType] : ( ( X0 * X0 * X0 ) > X0 ) ).

tff(func_def_1649,type,
    bG238: $o > $o ).

tff(func_def_1650,type,
    bG239: $o > $o ).

tff(func_def_1651,type,
    bG240: $o > $o ).

tff(func_def_1652,type,
    bG241: $o > $o ).

tff(func_def_1653,type,
    bG242: $o > $o ).

tff(func_def_1654,type,
    bG243: $o > $o ).

tff(func_def_1655,type,
    bG244: $o > $o ).

tff(func_def_1656,type,
    iG245: ( nat * $o ) > $o ).

tff(func_def_1657,type,
    iG246: ( nat * $o * $o ) > $o ).

tff(func_def_1658,type,
    bG247: $o > $o ).

tff(func_def_1659,type,
    bG248: $o > $o ).

tff(func_def_1660,type,
    bG249: $o > $o ).

tff(func_def_1661,type,
    bG250: $o > $o ).

tff(func_def_1662,type,
    bG251: $o > $o ).

tff(func_def_1663,type,
    bG252: $o > $o ).

tff(func_def_1664,type,
    bG253: $o > $o ).

tff(func_def_1665,type,
    bG254: $o > $o ).

tff(func_def_1666,type,
    bG255: $o > $o ).

tff(func_def_1667,type,
    bG256: $o > $o ).

tff(func_def_1668,type,
    iG257: ( nat * $o * $o ) > vEBT_VEBT ).

tff(func_def_1669,type,
    iG258: ( nat * $o * $o ) > vEBT_VEBT ).

tff(func_def_1670,type,
    bG261: $o > $o ).

tff(func_def_1671,type,
    bG262: $o > $o ).

tff(func_def_1672,type,
    bG263: $o > $o ).

tff(func_def_1673,type,
    bG264: $o > $o ).

tff(func_def_1674,type,
    bG265: $o > $o ).

tff(func_def_1675,type,
    bG266: $o > $o ).

tff(func_def_1676,type,
    bG267: $o > $o ).

tff(func_def_1677,type,
    bG268: $o > $o ).

tff(func_def_1678,type,
    iG269: ( nat * nat ) > nat ).

tff(func_def_1679,type,
    iG270: ( nat * nat ) > nat ).

tff(func_def_1680,type,
    iG271: ( nat * nat ) > nat ).

tff(func_def_1681,type,
    bG272: $o > $o ).

tff(func_def_1682,type,
    bG273: $o > $o ).

tff(func_def_1683,type,
    iG274: 
      !>[X0: $tType] : ( ( nat * nat * X0 ) > X0 ) ).

tff(func_def_1684,type,
    iG275: 
      !>[X0: $tType] : ( ( nat * X0 ) > X0 ) ).

tff(func_def_1685,type,
    bG276: $o > $o ).

tff(func_def_1686,type,
    bG277: $o > $o ).

tff(func_def_1687,type,
    iG278: $o > option(nat) ).

tff(func_def_1688,type,
    iG279: ( $o * $o ) > option(nat) ).

tff(func_def_1689,type,
    bG280: $o > $o ).

tff(func_def_1690,type,
    bG281: $o > $o ).

tff(func_def_1691,type,
    iG282: $o > option(nat) ).

tff(func_def_1692,type,
    iG283: ( $o * $o ) > option(nat) ).

tff(func_def_1693,type,
    bG284: $o > $o ).

tff(func_def_1694,type,
    bG285: $o > $o ).

tff(func_def_1695,type,
    iG286: $o > option(nat) ).

tff(func_def_1696,type,
    bG287: $o > $o ).

tff(func_def_1697,type,
    bG288: $o > $o ).

tff(func_def_1698,type,
    iG289: $o > option(nat) ).

tff(func_def_1699,type,
    bG290: $o > $o ).

tff(func_def_1700,type,
    bG291: $o > $o ).

tff(func_def_1701,type,
    bG292: $o > $o ).

tff(func_def_1702,type,
    bG293: $o > $o ).

tff(func_def_1703,type,
    bG294: $o > $o ).

tff(func_def_1704,type,
    bG295: $o > $o ).

tff(func_def_1705,type,
    bG296: $o > $o ).

tff(func_def_1706,type,
    bG297: $o > $o ).

tff(func_def_1707,type,
    bG298: $o > $o ).

tff(func_def_1708,type,
    bG299: $o > $o ).

tff(func_def_1709,type,
    bG300: $o > $o ).

tff(func_def_1710,type,
    bG301: $o > $o ).

tff(func_def_1711,type,
    bG302: $o > $o ).

tff(func_def_1712,type,
    bG303: $o > $o ).

tff(func_def_1713,type,
    bG304: $o > $o ).

tff(func_def_1714,type,
    bG305: $o > $o ).

tff(func_def_1715,type,
    bG306: $o > $o ).

tff(func_def_1716,type,
    bG307: $o > $o ).

tff(func_def_1717,type,
    bG308: $o > $o ).

tff(func_def_1718,type,
    bG309: $o > $o ).

tff(func_def_1719,type,
    bG310: $o > $o ).

tff(func_def_1720,type,
    bG311: $o > $o ).

tff(func_def_1721,type,
    bG312: $o > $o ).

tff(func_def_1722,type,
    bG313: $o > $o ).

tff(func_def_1723,type,
    iG314: $o > option(nat) ).

tff(func_def_1724,type,
    iG315: ( $o * $o ) > option(nat) ).

tff(func_def_1725,type,
    iG316: $o > option(nat) ).

tff(func_def_1726,type,
    iG317: ( $o * $o ) > option(nat) ).

tff(func_def_1727,type,
    bG318: $o > $o ).

tff(func_def_1728,type,
    bG319: $o > $o ).

tff(func_def_1729,type,
    iG320: $o > option(nat) ).

tff(func_def_1730,type,
    iG321: ( $o * $o ) > option(nat) ).

tff(func_def_1731,type,
    bG322: $o > $o ).

tff(func_def_1732,type,
    bG323: $o > $o ).

tff(func_def_1733,type,
    bG324: $o > $o ).

tff(func_def_1734,type,
    bG325: $o > $o ).

tff(func_def_1735,type,
    iG326: 
      !>[X0: $tType] : ( ( X0 * num * X0 ) > product_prod(X0,X0) ) ).

tff(func_def_1736,type,
    lG327: ( nat * nat ) > nat ).

tff(func_def_1737,type,
    lG328: ( nat * nat ) > nat ).

tff(func_def_1738,type,
    lG329: ( list(vEBT_VEBT) * nat * nat ) > option(nat) ).

tff(func_def_1739,type,
    lG330: ( vEBT_VEBT * nat * nat ) > option(nat) ).

tff(func_def_1740,type,
    iG331: ( nat * nat * vEBT_VEBT * list(vEBT_VEBT) ) > option(nat) ).

tff(func_def_1741,type,
    iG332: ( nat * nat * list(vEBT_VEBT) * vEBT_VEBT ) > option(nat) ).

tff(func_def_1742,type,
    lG333: ( nat * nat ) > nat ).

tff(func_def_1743,type,
    lG334: ( nat * nat ) > nat ).

tff(func_def_1744,type,
    lG335: ( list(vEBT_VEBT) * nat * nat ) > option(nat) ).

tff(func_def_1745,type,
    lG336: ( vEBT_VEBT * nat * nat ) > option(nat) ).

tff(func_def_1746,type,
    iG337: ( nat * nat * vEBT_VEBT * list(vEBT_VEBT) ) > option(nat) ).

tff(func_def_1747,type,
    iG338: ( nat * nat * list(vEBT_VEBT) * vEBT_VEBT ) > option(nat) ).

tff(func_def_1748,type,
    iG339: ( list(vEBT_VEBT) * nat * nat * vEBT_VEBT ) > option(nat) ).

tff(func_def_1749,type,
    lG340: ( nat * nat ) > nat ).

tff(func_def_1750,type,
    lG341: ( nat * nat ) > nat ).

tff(func_def_1751,type,
    lG342: ( list(vEBT_VEBT) * nat * nat ) > option(nat) ).

tff(func_def_1752,type,
    lG343: ( vEBT_VEBT * nat * nat ) > option(nat) ).

tff(func_def_1753,type,
    iG344: ( nat * nat ) > option(nat) ).

tff(func_def_1754,type,
    iG345: ( nat * nat * vEBT_VEBT * list(vEBT_VEBT) * nat ) > option(nat) ).

tff(func_def_1755,type,
    iG346: ( nat * nat * list(vEBT_VEBT) * vEBT_VEBT * nat ) > option(nat) ).

tff(func_def_1756,type,
    iG347: ( list(vEBT_VEBT) * nat * nat * vEBT_VEBT * nat ) > option(nat) ).

tff(func_def_1757,type,
    lG348: ( nat * nat ) > nat ).

tff(func_def_1758,type,
    lG349: ( nat * nat ) > nat ).

tff(func_def_1759,type,
    lG350: ( list(vEBT_VEBT) * nat * nat ) > option(nat) ).

tff(func_def_1760,type,
    lG351: ( vEBT_VEBT * nat * nat ) > option(nat) ).

tff(func_def_1761,type,
    iG352: ( nat * nat ) > option(nat) ).

tff(func_def_1762,type,
    iG353: ( nat * nat * vEBT_VEBT * list(vEBT_VEBT) * nat ) > option(nat) ).

tff(func_def_1763,type,
    iG354: ( nat * nat * list(vEBT_VEBT) * vEBT_VEBT * nat ) > option(nat) ).

tff(func_def_1764,type,
    lG355: ( vEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_1765,type,
    lG356: ( vEBT_VEBT * nat ) > option(nat) ).

tff(func_def_1766,type,
    iG357: ( nat * vEBT_VEBT * list(vEBT_VEBT) * nat * nat ) > nat ).

tff(func_def_1767,type,
    iG358: ( nat * nat * nat * vEBT_VEBT * list(vEBT_VEBT) * nat * nat ) > nat ).

tff(func_def_1768,type,
    iG359: ( nat * nat * nat * list(vEBT_VEBT) * nat ) > nat ).

tff(func_def_1769,type,
    iG360: ( vEBT_VEBT * vEBT_VEBT * list(vEBT_VEBT) * nat * nat * nat * nat * nat ) > vEBT_VEBT ).

tff(func_def_1770,type,
    lG361: vEBT_VEBT > option(nat) ).

tff(func_def_1771,type,
    iG362: ( vEBT_VEBT * list(vEBT_VEBT) * nat * nat ) > nat ).

tff(func_def_1772,type,
    iG363: ( nat * nat * vEBT_VEBT * list(vEBT_VEBT) * nat * nat ) > nat ).

tff(func_def_1773,type,
    lG364: ( list(vEBT_VEBT) * nat * nat ) > vEBT_VEBT ).

tff(func_def_1774,type,
    lG365: ( list(vEBT_VEBT) * nat * nat ) > list(vEBT_VEBT) ).

tff(func_def_1775,type,
    lG366: ( vEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_1776,type,
    lG367: ( vEBT_VEBT * nat ) > option(nat) ).

tff(func_def_1777,type,
    iG368: ( nat * vEBT_VEBT * nat * list(vEBT_VEBT) * nat * nat ) > nat ).

tff(func_def_1778,type,
    iG369: ( nat * nat * nat * vEBT_VEBT * nat * list(vEBT_VEBT) * nat * nat ) > nat ).

tff(func_def_1779,type,
    iG370: ( nat * nat * nat * nat * list(vEBT_VEBT) * nat ) > nat ).

tff(func_def_1780,type,
    iG371: ( nat * nat * list(vEBT_VEBT) * vEBT_VEBT * nat * nat * nat * nat ) > vEBT_VEBT ).

tff(func_def_1781,type,
    lG372: ( nat * list(vEBT_VEBT) * vEBT_VEBT * nat * nat ) > nat ).

tff(func_def_1782,type,
    iG373: ( nat * nat * vEBT_VEBT * list(vEBT_VEBT) * nat ) > nat ).

tff(func_def_1783,type,
    lG374: ( nat * list(vEBT_VEBT) * vEBT_VEBT * nat * nat ) > nat ).

tff(func_def_1784,type,
    iG375: ( nat * nat * vEBT_VEBT * list(vEBT_VEBT) * nat ) > nat ).

tff(func_def_1785,type,
    lG376: ( list(vEBT_VEBT) * vEBT_VEBT * nat * nat * nat ) > nat ).

tff(func_def_1786,type,
    lG377: ( list(vEBT_VEBT) * vEBT_VEBT * nat * nat * nat ) > vEBT_VEBT ).

tff(func_def_1787,type,
    lG378: ( list(vEBT_VEBT) * vEBT_VEBT * nat * nat * nat ) > list(vEBT_VEBT) ).

tff(func_def_1788,type,
    lG379: ( list(vEBT_VEBT) * vEBT_VEBT * nat * nat * nat ) > vEBT_VEBT ).

tff(func_def_1789,type,
    lG380: ( list(vEBT_VEBT) * vEBT_VEBT * nat * nat * nat ) > option(nat) ).

tff(func_def_1790,type,
    iG381: ( nat * nat * nat * vEBT_VEBT * list(vEBT_VEBT) ) > nat ).

tff(func_def_1791,type,
    iG382: ( nat * nat * nat * vEBT_VEBT * list(vEBT_VEBT) * nat ) > nat ).

tff(func_def_1792,type,
    iG383: ( nat * nat * nat * vEBT_VEBT * list(vEBT_VEBT) * nat ) > nat ).

tff(func_def_1793,type,
    iG384: ( nat * nat * nat * vEBT_VEBT * list(vEBT_VEBT) * nat ) > vEBT_VEBT ).

tff(func_def_1794,type,
    iG385: ( list(vEBT_VEBT) * nat * nat * nat * vEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_1795,type,
    lG386: ( list(vEBT_VEBT) * nat * nat ) > vEBT_VEBT ).

tff(func_def_1796,type,
    lG387: ( list(vEBT_VEBT) * nat * nat ) > list(vEBT_VEBT) ).

tff(func_def_1797,type,
    lG388: ( vEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_1798,type,
    lG389: ( vEBT_VEBT * nat ) > option(nat) ).

tff(func_def_1799,type,
    iG390: ( nat * vEBT_VEBT * nat * list(vEBT_VEBT) * nat * nat ) > nat ).

tff(func_def_1800,type,
    iG391: ( nat * nat * nat * vEBT_VEBT * nat * list(vEBT_VEBT) * nat ) > nat ).

tff(func_def_1801,type,
    iG392: ( nat * nat * nat * nat * list(vEBT_VEBT) * nat ) > nat ).

tff(func_def_1802,type,
    iG393: ( nat * nat * list(vEBT_VEBT) * vEBT_VEBT * nat * nat * nat ) > vEBT_VEBT ).

tff(func_def_1803,type,
    lG394: ( vEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_1804,type,
    lG395: ( vEBT_VEBT * nat ) > option(nat) ).

tff(func_def_1805,type,
    iG396: ( nat * vEBT_VEBT * list(vEBT_VEBT) * nat * nat ) > nat ).

tff(func_def_1806,type,
    iG397: ( nat * nat * nat * vEBT_VEBT * list(vEBT_VEBT) * nat ) > nat ).

tff(func_def_1807,type,
    iG398: ( nat * nat * nat * list(vEBT_VEBT) * nat ) > nat ).

tff(func_def_1808,type,
    iG399: ( vEBT_VEBT * vEBT_VEBT * list(vEBT_VEBT) * nat * nat * nat * nat ) > vEBT_VEBT ).

tff(func_def_1809,type,
    lG400: vEBT_VEBT > option(nat) ).

tff(func_def_1810,type,
    iG401: ( vEBT_VEBT * list(vEBT_VEBT) * nat * nat ) > nat ).

tff(func_def_1811,type,
    iG402: ( nat * nat * vEBT_VEBT * list(vEBT_VEBT) * nat ) > nat ).

tff(func_def_1812,type,
    lG403: ( nat * list(vEBT_VEBT) * vEBT_VEBT ) > nat ).

tff(func_def_1813,type,
    lG404: ( list(vEBT_VEBT) * vEBT_VEBT * nat ) > nat ).

tff(func_def_1814,type,
    lG405: ( list(vEBT_VEBT) * vEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_1815,type,
    lG406: ( list(vEBT_VEBT) * vEBT_VEBT * nat ) > list(vEBT_VEBT) ).

tff(func_def_1816,type,
    lG407: ( list(vEBT_VEBT) * vEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_1817,type,
    lG408: ( list(vEBT_VEBT) * vEBT_VEBT * nat ) > option(nat) ).

tff(func_def_1818,type,
    iG409: ( nat * vEBT_VEBT * list(vEBT_VEBT) ) > nat ).

tff(func_def_1819,type,
    iG410: ( nat * vEBT_VEBT * list(vEBT_VEBT) * nat ) > nat ).

tff(func_def_1820,type,
    iG411: ( nat * vEBT_VEBT * list(vEBT_VEBT) * nat ) > nat ).

tff(func_def_1821,type,
    iG412: ( nat * vEBT_VEBT * list(vEBT_VEBT) * nat ) > vEBT_VEBT ).

tff(func_def_1822,type,
    iG413: ( list(vEBT_VEBT) * nat * vEBT_VEBT * nat * nat ) > vEBT_VEBT ).

tff(func_def_1823,type,
    iG414: 
      !>[X0: $tType] : ( ( X0 * X0 ) > X0 ) ).

tff(func_def_1824,type,
    lG415: ( nat * nat ) > nat ).

tff(func_def_1825,type,
    lG417: ( nat * nat ) > nat ).

tff(func_def_1826,type,
    lG419: ( nat * nat ) > nat ).

tff(func_def_1827,type,
    iG420: ( list(vEBT_VEBT) * nat * nat ) > $o ).

tff(func_def_1828,type,
    iG421: ( nat * nat * nat * list(vEBT_VEBT) ) > $o ).

tff(func_def_1829,type,
    iG422: ( nat * nat * nat * nat * list(vEBT_VEBT) ) > $o ).

tff(func_def_1830,type,
    iG423: ( nat * nat * nat * nat * list(vEBT_VEBT) ) > $o ).

tff(func_def_1831,type,
    iG424: ( nat * nat * nat * nat * list(vEBT_VEBT) ) > $o ).

tff(func_def_1832,type,
    lG425: ( nat * nat ) > nat ).

tff(func_def_1833,type,
    lG427: ( nat * nat ) > nat ).

tff(func_def_1834,type,
    bG431: $o > $o ).

tff(func_def_1835,type,
    bG432: $o > $o ).

tff(func_def_1836,type,
    lG433: ( nat * nat ) > nat ).

tff(func_def_1837,type,
    bG437: $o > $o ).

tff(func_def_1838,type,
    bG438: $o > $o ).

tff(func_def_1839,type,
    lG439: ( nat * nat ) > nat ).

tff(func_def_1840,type,
    bG443: $o > $o ).

tff(func_def_1841,type,
    bG444: $o > $o ).

tff(func_def_1842,type,
    lG445: ( nat * nat ) > nat ).

tff(func_def_1843,type,
    lG447: ( nat * nat ) > nat ).

tff(func_def_1844,type,
    lG449: ( nat * nat ) > nat ).

tff(func_def_1845,type,
    bG457: $o > $o ).

tff(func_def_1846,type,
    bG458: $o > $o ).

tff(func_def_1847,type,
    lG459: ( nat * nat ) > nat ).

tff(func_def_1848,type,
    lG461: ( nat * nat ) > nat ).

tff(func_def_1849,type,
    bG463: $o > $o ).

tff(func_def_1850,type,
    bG464: $o > $o ).

tff(func_def_1851,type,
    lG465: ( nat * nat ) > nat ).

tff(func_def_1852,type,
    lG467: ( nat * nat ) > nat ).

tff(func_def_1853,type,
    bG469: $o > $o ).

tff(func_def_1854,type,
    bG470: $o > $o ).

tff(func_def_1855,type,
    lG471: ( nat * nat ) > nat ).

tff(func_def_1856,type,
    iG472: ( nat * nat ) > nat ).

tff(func_def_1857,type,
    lG473: ( nat * nat * nat ) > nat ).

tff(func_def_1858,type,
    iG474: ( nat * nat ) > nat ).

tff(func_def_1859,type,
    iG475: ( nat * nat * nat * list(vEBT_VEBT) * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_1860,type,
    iG476: ( list(vEBT_VEBT) * nat * nat * nat * nat * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_1861,type,
    lG477: ( nat * nat ) > nat ).

tff(func_def_1862,type,
    bG485: $o > $o ).

tff(func_def_1863,type,
    bG486: $o > $o ).

tff(func_def_1864,type,
    lG487: ( nat * nat ) > nat ).

tff(func_def_1865,type,
    bG495: $o > $o ).

tff(func_def_1866,type,
    bG496: $o > $o ).

tff(func_def_1867,type,
    lG497: ( nat * nat ) > nat ).

tff(func_def_1868,type,
    iG498: ( nat * nat ) > nat ).

tff(func_def_1869,type,
    lG499: ( nat * nat * nat ) > nat ).

tff(func_def_1870,type,
    iG500: ( nat * nat ) > nat ).

tff(func_def_1871,type,
    iG501: ( nat * nat * nat * list(vEBT_VEBT) * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_1872,type,
    iG502: ( list(vEBT_VEBT) * nat * nat * nat * nat * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_1873,type,
    bG503: $o > $o ).

tff(func_def_1874,type,
    bG504: $o > $o ).

tff(func_def_1875,type,
    bG505: $o > $o ).

tff(func_def_1876,type,
    bG506: $o > $o ).

tff(func_def_1877,type,
    iG507: ( nat * $o * $o ) > vEBT_VEBT ).

tff(func_def_1878,type,
    iG508: ( nat * $o * $o ) > vEBT_VEBT ).

tff(func_def_1879,type,
    bG509: $o > $o ).

tff(func_def_1880,type,
    bG510: $o > $o ).

tff(func_def_1881,type,
    lG511: ( nat * nat ) > nat ).

tff(func_def_1882,type,
    lG512: ( nat * nat ) > nat ).

tff(func_def_1883,type,
    lG513: ( list(vEBT_VEBT) * nat * nat ) > option(nat) ).

tff(func_def_1884,type,
    lG514: ( vEBT_VEBT * nat * nat ) > option(nat) ).

tff(func_def_1885,type,
    iG515: ( nat * nat * vEBT_VEBT * list(vEBT_VEBT) ) > option(nat) ).

tff(func_def_1886,type,
    iG516: ( nat * nat * list(vEBT_VEBT) * vEBT_VEBT ) > option(nat) ).

tff(func_def_1887,type,
    iG517: ( list(vEBT_VEBT) * nat * nat * vEBT_VEBT ) > option(nat) ).

tff(func_def_1888,type,
    iG518: ( nat * nat * nat * list(vEBT_VEBT) * vEBT_VEBT ) > option(nat) ).

tff(func_def_1889,type,
    lG519: ( nat * nat ) > nat ).

tff(func_def_1890,type,
    lG520: ( nat * nat ) > nat ).

tff(func_def_1891,type,
    lG521: ( list(vEBT_VEBT) * nat * nat ) > option(nat) ).

tff(func_def_1892,type,
    lG522: ( vEBT_VEBT * nat * nat ) > option(nat) ).

tff(func_def_1893,type,
    iG523: ( nat * nat ) > option(nat) ).

tff(func_def_1894,type,
    iG524: ( nat * nat * vEBT_VEBT * list(vEBT_VEBT) * nat ) > option(nat) ).

tff(func_def_1895,type,
    iG525: ( nat * nat * list(vEBT_VEBT) * vEBT_VEBT * nat ) > option(nat) ).

tff(func_def_1896,type,
    iG526: ( list(vEBT_VEBT) * nat * nat * vEBT_VEBT * nat ) > option(nat) ).

tff(func_def_1897,type,
    iG527: ( nat * nat * nat * list(vEBT_VEBT) * vEBT_VEBT * nat ) > option(nat) ).

tff(func_def_1898,type,
    lG528: ( nat * list(vEBT_VEBT) * vEBT_VEBT * nat * nat ) > nat ).

tff(func_def_1899,type,
    iG529: ( nat * nat * vEBT_VEBT * list(vEBT_VEBT) * nat ) > nat ).

tff(func_def_1900,type,
    lG530: ( nat * list(vEBT_VEBT) * vEBT_VEBT * nat * nat ) > nat ).

tff(func_def_1901,type,
    iG531: ( nat * nat * vEBT_VEBT * list(vEBT_VEBT) * nat ) > nat ).

tff(func_def_1902,type,
    lG532: ( list(vEBT_VEBT) * vEBT_VEBT * nat * nat * nat ) > nat ).

tff(func_def_1903,type,
    lG533: ( list(vEBT_VEBT) * vEBT_VEBT * nat * nat * nat ) > vEBT_VEBT ).

tff(func_def_1904,type,
    lG534: ( list(vEBT_VEBT) * vEBT_VEBT * nat * nat * nat ) > list(vEBT_VEBT) ).

tff(func_def_1905,type,
    lG535: ( list(vEBT_VEBT) * vEBT_VEBT * nat * nat * nat ) > vEBT_VEBT ).

tff(func_def_1906,type,
    lG536: ( list(vEBT_VEBT) * vEBT_VEBT * nat * nat * nat ) > option(nat) ).

tff(func_def_1907,type,
    iG537: ( nat * nat * nat * vEBT_VEBT * list(vEBT_VEBT) ) > nat ).

tff(func_def_1908,type,
    iG538: ( nat * nat * nat * vEBT_VEBT * list(vEBT_VEBT) * nat ) > nat ).

tff(func_def_1909,type,
    iG539: ( nat * nat * nat * vEBT_VEBT * list(vEBT_VEBT) * nat ) > nat ).

tff(func_def_1910,type,
    iG540: ( nat * nat * nat * vEBT_VEBT * list(vEBT_VEBT) * nat ) > vEBT_VEBT ).

tff(func_def_1911,type,
    iG541: ( list(vEBT_VEBT) * nat * nat * nat * vEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_1912,type,
    iG542: ( nat * nat * nat * vEBT_VEBT * list(vEBT_VEBT) * nat ) > vEBT_VEBT ).

tff(func_def_1913,type,
    iG543: ( nat * nat * nat * vEBT_VEBT * list(vEBT_VEBT) * nat ) > vEBT_VEBT ).

tff(func_def_1914,type,
    lG544: ( nat * list(vEBT_VEBT) * vEBT_VEBT * nat * nat ) > nat ).

tff(func_def_1915,type,
    iG545: ( nat * nat * vEBT_VEBT * list(vEBT_VEBT) * nat ) > nat ).

tff(func_def_1916,type,
    lG546: ( nat * list(vEBT_VEBT) * vEBT_VEBT * nat * nat ) > nat ).

tff(func_def_1917,type,
    iG547: ( nat * nat * vEBT_VEBT * list(vEBT_VEBT) * nat ) > nat ).

tff(func_def_1918,type,
    lG548: ( list(vEBT_VEBT) * vEBT_VEBT * nat * nat * nat ) > nat ).

tff(func_def_1919,type,
    lG549: ( list(vEBT_VEBT) * vEBT_VEBT * nat * nat * nat ) > vEBT_VEBT ).

tff(func_def_1920,type,
    lG550: ( list(vEBT_VEBT) * vEBT_VEBT * nat * nat * nat ) > list(vEBT_VEBT) ).

tff(func_def_1921,type,
    lG551: ( list(vEBT_VEBT) * vEBT_VEBT * nat * nat * nat ) > vEBT_VEBT ).

tff(func_def_1922,type,
    lG552: ( list(vEBT_VEBT) * vEBT_VEBT * nat * nat * nat ) > option(nat) ).

tff(func_def_1923,type,
    iG553: ( nat * nat * nat * vEBT_VEBT * list(vEBT_VEBT) ) > nat ).

tff(func_def_1924,type,
    iG554: ( nat * nat * nat * vEBT_VEBT * list(vEBT_VEBT) * nat ) > nat ).

tff(func_def_1925,type,
    iG555: ( nat * nat * nat * vEBT_VEBT * list(vEBT_VEBT) * nat ) > nat ).

tff(func_def_1926,type,
    iG556: ( nat * nat * nat * vEBT_VEBT * list(vEBT_VEBT) * nat ) > vEBT_VEBT ).

tff(func_def_1927,type,
    iG557: ( list(vEBT_VEBT) * nat * nat * nat * vEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_1928,type,
    iG558: ( nat * nat * nat * vEBT_VEBT * list(vEBT_VEBT) * nat ) > vEBT_VEBT ).

tff(func_def_1929,type,
    iG559: ( nat * nat * nat * vEBT_VEBT * list(vEBT_VEBT) * nat ) > vEBT_VEBT ).

tff(func_def_1930,type,
    bG560: $o > $o ).

tff(func_def_1931,type,
    bG561: $o > $o ).

tff(func_def_1932,type,
    bG562: $o > $o ).

tff(func_def_1933,type,
    bG563: $o > $o ).

tff(func_def_1934,type,
    bG564: $o > $o ).

tff(func_def_1935,type,
    bG565: $o > $o ).

tff(func_def_1936,type,
    bG566: $o > $o ).

tff(func_def_1937,type,
    bG567: $o > $o ).

tff(func_def_1938,type,
    bG568: $o > $o ).

tff(func_def_1939,type,
    bG569: $o > $o ).

tff(func_def_1940,type,
    lG570: ( nat * nat ) > nat ).

tff(func_def_1941,type,
    lG571: ( nat * nat ) > nat ).

tff(func_def_1942,type,
    lG572: ( list(vEBT_VEBT) * nat * nat ) > option(nat) ).

tff(func_def_1943,type,
    lG573: ( vEBT_VEBT * nat * nat ) > option(nat) ).

tff(func_def_1944,type,
    iG574: ( nat * nat * vEBT_VEBT * list(vEBT_VEBT) ) > option(nat) ).

tff(func_def_1945,type,
    iG575: ( nat * nat * list(vEBT_VEBT) * vEBT_VEBT ) > option(nat) ).

tff(func_def_1946,type,
    iG576: ( list(vEBT_VEBT) * nat * nat * vEBT_VEBT ) > option(nat) ).

tff(func_def_1947,type,
    iG577: ( nat * nat * nat * list(vEBT_VEBT) * vEBT_VEBT ) > option(nat) ).

tff(func_def_1948,type,
    bG578: $o > $o ).

tff(func_def_1949,type,
    bG579: $o > $o ).

tff(func_def_1950,type,
    iG580: $o > option(nat) ).

tff(func_def_1951,type,
    bG581: $o > $o ).

tff(func_def_1952,type,
    bG582: $o > $o ).

tff(func_def_1953,type,
    lG583: ( nat * nat ) > nat ).

tff(func_def_1954,type,
    lG584: ( nat * nat ) > nat ).

tff(func_def_1955,type,
    lG585: ( list(vEBT_VEBT) * nat * nat ) > option(nat) ).

tff(func_def_1956,type,
    lG586: ( vEBT_VEBT * nat * nat ) > option(nat) ).

tff(func_def_1957,type,
    iG587: ( nat * nat ) > option(nat) ).

tff(func_def_1958,type,
    iG588: ( nat * nat * vEBT_VEBT * list(vEBT_VEBT) * nat ) > option(nat) ).

tff(func_def_1959,type,
    iG589: ( nat * nat * list(vEBT_VEBT) * vEBT_VEBT * nat ) > option(nat) ).

tff(func_def_1960,type,
    iG590: ( list(vEBT_VEBT) * nat * nat * vEBT_VEBT * nat ) > option(nat) ).

tff(func_def_1961,type,
    iG591: ( nat * nat * nat * list(vEBT_VEBT) * vEBT_VEBT * nat ) > option(nat) ).

tff(func_def_1962,type,
    iG592: $o > option(nat) ).

tff(func_def_1963,type,
    iG593: ( $o * $o ) > option(nat) ).

tff(func_def_1964,type,
    bG594: $o > $o ).

tff(func_def_1965,type,
    bG595: $o > $o ).

tff(func_def_1966,type,
    iG596: $o > option(nat) ).

tff(func_def_1967,type,
    bG597: $o > $o ).

tff(func_def_1968,type,
    bG598: $o > $o ).

tff(func_def_1969,type,
    bG599: $o > $o ).

tff(func_def_1970,type,
    bG600: $o > $o ).

tff(func_def_1971,type,
    lG601: ( nat * nat ) > nat ).

tff(func_def_1972,type,
    lG602: ( nat * nat ) > nat ).

tff(func_def_1973,type,
    lG603: ( list(vEBT_VEBT) * nat * nat ) > option(nat) ).

tff(func_def_1974,type,
    lG604: ( vEBT_VEBT * nat * nat ) > option(nat) ).

tff(func_def_1975,type,
    iG605: ( nat * nat * vEBT_VEBT * list(vEBT_VEBT) ) > option(nat) ).

tff(func_def_1976,type,
    iG606: ( nat * nat * list(vEBT_VEBT) * vEBT_VEBT ) > option(nat) ).

tff(func_def_1977,type,
    iG607: ( list(vEBT_VEBT) * nat * nat * vEBT_VEBT ) > option(nat) ).

tff(func_def_1978,type,
    iG608: ( nat * nat * nat * list(vEBT_VEBT) * vEBT_VEBT ) > option(nat) ).

tff(func_def_1979,type,
    bG609: $o > $o ).

tff(func_def_1980,type,
    bG610: $o > $o ).

tff(func_def_1981,type,
    bG611: $o > $o ).

tff(func_def_1982,type,
    bG612: $o > $o ).

tff(func_def_1983,type,
    bG613: $o > $o ).

tff(func_def_1984,type,
    bG614: $o > $o ).

tff(func_def_1985,type,
    iG615: $o > option(nat) ).

tff(func_def_1986,type,
    bG616: $o > $o ).

tff(func_def_1987,type,
    bG617: $o > $o ).

tff(func_def_1988,type,
    lG618: ( nat * nat ) > nat ).

tff(func_def_1989,type,
    lG619: ( nat * nat ) > nat ).

tff(func_def_1990,type,
    lG620: ( list(vEBT_VEBT) * nat * nat ) > option(nat) ).

tff(func_def_1991,type,
    lG621: ( vEBT_VEBT * nat * nat ) > option(nat) ).

tff(func_def_1992,type,
    iG622: ( nat * nat ) > option(nat) ).

tff(func_def_1993,type,
    iG623: ( nat * nat * vEBT_VEBT * list(vEBT_VEBT) * nat ) > option(nat) ).

tff(func_def_1994,type,
    iG624: ( nat * nat * list(vEBT_VEBT) * vEBT_VEBT * nat ) > option(nat) ).

tff(func_def_1995,type,
    iG625: ( list(vEBT_VEBT) * nat * nat * vEBT_VEBT * nat ) > option(nat) ).

tff(func_def_1996,type,
    iG626: ( nat * nat * nat * list(vEBT_VEBT) * vEBT_VEBT * nat ) > option(nat) ).

tff(func_def_1997,type,
    bG627: $o > $o ).

tff(func_def_1998,type,
    bG628: $o > $o ).

tff(func_def_1999,type,
    iG629: $o > option(nat) ).

tff(func_def_2000,type,
    iG630: ( $o * $o ) > option(nat) ).

tff(func_def_2001,type,
    bG631: $o > $o ).

tff(func_def_2002,type,
    bG632: $o > $o ).

tff(func_def_2003,type,
    bG633: $o > $o ).

tff(func_def_2004,type,
    bG634: $o > $o ).

tff(func_def_2005,type,
    iG635: $o > option(nat) ).

tff(func_def_2006,type,
    bG636: $o > $o ).

tff(func_def_2007,type,
    bG637: $o > $o ).

tff(func_def_2008,type,
    bG638: $o > $o ).

tff(func_def_2009,type,
    bG639: $o > $o ).

tff(func_def_2010,type,
    bG640: $o > $o ).

tff(func_def_2011,type,
    bG641: $o > $o ).

tff(func_def_2012,type,
    lG642: ( nat * list(vEBT_VEBT) * vEBT_VEBT * nat * nat ) > nat ).

tff(func_def_2013,type,
    iG643: ( nat * nat * vEBT_VEBT * list(vEBT_VEBT) * nat ) > nat ).

tff(func_def_2014,type,
    lG644: ( nat * list(vEBT_VEBT) * vEBT_VEBT * nat * nat ) > nat ).

tff(func_def_2015,type,
    iG645: ( nat * nat * vEBT_VEBT * list(vEBT_VEBT) * nat ) > nat ).

tff(func_def_2016,type,
    lG646: ( list(vEBT_VEBT) * vEBT_VEBT * nat * nat * nat ) > nat ).

tff(func_def_2017,type,
    lG647: ( list(vEBT_VEBT) * vEBT_VEBT * nat * nat * nat ) > vEBT_VEBT ).

tff(func_def_2018,type,
    lG648: ( list(vEBT_VEBT) * vEBT_VEBT * nat * nat * nat ) > list(vEBT_VEBT) ).

tff(func_def_2019,type,
    lG649: ( list(vEBT_VEBT) * vEBT_VEBT * nat * nat * nat ) > vEBT_VEBT ).

tff(func_def_2020,type,
    lG650: ( list(vEBT_VEBT) * vEBT_VEBT * nat * nat * nat ) > option(nat) ).

tff(func_def_2021,type,
    iG651: ( nat * nat * nat * vEBT_VEBT * list(vEBT_VEBT) ) > nat ).

tff(func_def_2022,type,
    iG652: ( nat * nat * nat * vEBT_VEBT * list(vEBT_VEBT) * nat ) > nat ).

tff(func_def_2023,type,
    iG653: ( nat * nat * nat * vEBT_VEBT * list(vEBT_VEBT) * nat ) > nat ).

tff(func_def_2024,type,
    iG654: ( nat * nat * nat * vEBT_VEBT * list(vEBT_VEBT) * nat ) > vEBT_VEBT ).

tff(func_def_2025,type,
    iG655: ( list(vEBT_VEBT) * nat * nat * nat * vEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_2026,type,
    iG656: ( nat * nat * nat * vEBT_VEBT * list(vEBT_VEBT) * nat ) > vEBT_VEBT ).

tff(func_def_2027,type,
    iG657: ( nat * nat * nat * vEBT_VEBT * list(vEBT_VEBT) * nat ) > vEBT_VEBT ).

tff(func_def_2028,type,
    bG658: $o > $o ).

tff(func_def_2029,type,
    bG659: $o > $o ).

tff(func_def_2030,type,
    bG660: $o > $o ).

tff(func_def_2031,type,
    bG661: $o > $o ).

tff(func_def_2032,type,
    bG662: $o > $o ).

tff(func_def_2033,type,
    bG663: $o > $o ).

tff(func_def_2034,type,
    bG664: $o > $o ).

tff(func_def_2035,type,
    bG665: $o > $o ).

tff(func_def_2036,type,
    bG666: $o > $o ).

tff(func_def_2037,type,
    bG667: $o > $o ).

tff(func_def_2038,type,
    bG668: $o > $o ).

tff(func_def_2039,type,
    bG669: $o > $o ).

tff(func_def_2040,type,
    bG670: $o > $o ).

tff(func_def_2041,type,
    bG671: $o > $o ).

tff(func_def_2042,type,
    bG672: $o > $o ).

tff(func_def_2043,type,
    bG673: $o > $o ).

tff(func_def_2044,type,
    lG674: ( nat * nat ) > nat ).

tff(func_def_2045,type,
    iG675: ( nat * nat ) > nat ).

tff(func_def_2046,type,
    lG676: ( nat * nat * nat ) > nat ).

tff(func_def_2047,type,
    iG677: ( nat * nat ) > nat ).

tff(func_def_2048,type,
    iG678: ( nat * nat * nat * list(vEBT_VEBT) * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_2049,type,
    iG679: ( list(vEBT_VEBT) * nat * nat * nat * nat * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_2050,type,
    bG680: $o > $o ).

tff(func_def_2051,type,
    bG681: $o > $o ).

tff(func_def_2052,type,
    bG682: $o > $o ).

tff(func_def_2053,type,
    bG683: $o > $o ).

tff(func_def_2054,type,
    bG684: $o > $o ).

tff(func_def_2055,type,
    bG685: $o > $o ).

tff(func_def_2056,type,
    iG686: ( nat * $o * $o ) > vEBT_VEBT ).

tff(func_def_2057,type,
    iG687: ( nat * $o * $o ) > vEBT_VEBT ).

tff(func_def_2058,type,
    bG688: $o > $o ).

tff(func_def_2059,type,
    bG689: $o > $o ).

tff(func_def_2060,type,
    iG690: 
      !>[X0: $tType] : ( ( nat * fun(nat,X0) * X0 ) > X0 ) ).

tff(func_def_2061,type,
    lG691: ( nat * nat ) > nat ).

tff(func_def_2062,type,
    iG692: ( list(vEBT_VEBT) * nat * nat ) > $o ).

tff(func_def_2063,type,
    iG693: ( nat * nat * nat * list(vEBT_VEBT) ) > $o ).

tff(func_def_2064,type,
    iG694: ( nat * nat * nat * nat * list(vEBT_VEBT) ) > $o ).

tff(func_def_2065,type,
    iG695: ( nat * nat * nat * nat * list(vEBT_VEBT) ) > $o ).

tff(func_def_2066,type,
    iG696: ( nat * nat * nat * nat * list(vEBT_VEBT) ) > $o ).

tff(func_def_2067,type,
    bG697: $o > $o ).

tff(func_def_2068,type,
    bG698: $o > $o ).

tff(func_def_2069,type,
    bG699: $o > $o ).

tff(func_def_2070,type,
    bG700: $o > $o ).

tff(func_def_2071,type,
    iG701: ( nat * $o ) > $o ).

tff(func_def_2072,type,
    iG702: ( nat * $o * $o ) > $o ).

tff(func_def_2073,type,
    bG703: $o > $o ).

tff(func_def_2074,type,
    bG704: $o > $o ).

tff(func_def_2075,type,
    lG705: ( nat * nat ) > nat ).

tff(func_def_2076,type,
    bG713: $o > $o ).

tff(func_def_2077,type,
    bG714: $o > $o ).

tff(func_def_2078,type,
    bG715: $o > $o ).

tff(func_def_2079,type,
    bG716: $o > $o ).

tff(func_def_2080,type,
    lG717: ( nat * nat ) > nat ).

tff(func_def_2081,type,
    bG721: $o > $o ).

tff(func_def_2082,type,
    bG722: $o > $o ).

tff(func_def_2083,type,
    bG723: $o > $o ).

tff(func_def_2084,type,
    bG724: $o > $o ).

tff(func_def_2085,type,
    lG725: ( nat * nat ) > nat ).

tff(func_def_2086,type,
    bG729: $o > $o ).

tff(func_def_2087,type,
    bG730: $o > $o ).

tff(func_def_2088,type,
    bG731: $o > $o ).

tff(func_def_2089,type,
    bG732: $o > $o ).

tff(func_def_2090,type,
    lG733: ( nat * nat ) > nat ).

tff(func_def_2091,type,
    bG734: ( nat * nat * list(vEBT_VEBT) ) > $o ).

tff(func_def_2092,type,
    iG735: ( list(vEBT_VEBT) * nat * nat ) > $o ).

tff(func_def_2093,type,
    bG736: $o > $o ).

tff(func_def_2094,type,
    bG737: $o > $o ).

tff(func_def_2095,type,
    bG738: $o > $o ).

tff(func_def_2096,type,
    bG739: $o > $o ).

tff(func_def_2097,type,
    iG740: ( nat * $o ) > $o ).

tff(func_def_2098,type,
    iG741: ( nat * $o * $o ) > $o ).

tff(func_def_2099,type,
    bG742: $o > $o ).

tff(func_def_2100,type,
    bG743: $o > $o ).

tff(func_def_2101,type,
    lG744: ( nat * nat ) > nat ).

tff(func_def_2102,type,
    bG752: $o > $o ).

tff(func_def_2103,type,
    bG753: $o > $o ).

tff(func_def_2104,type,
    bG754: $o > $o ).

tff(func_def_2105,type,
    bG755: $o > $o ).

tff(func_def_2106,type,
    lG756: ( nat * nat ) > nat ).

tff(func_def_2107,type,
    bG757: ( nat * nat * list(vEBT_VEBT) ) > $o ).

tff(func_def_2108,type,
    iG758: ( list(vEBT_VEBT) * nat * nat ) > $o ).

tff(func_def_2109,type,
    lG759: ( nat * nat ) > nat ).

tff(func_def_2110,type,
    bG761: $o > $o ).

tff(func_def_2111,type,
    bG762: $o > $o ).

tff(func_def_2112,type,
    bG763: $o > $o ).

tff(func_def_2113,type,
    bG764: $o > $o ).

tff(func_def_2114,type,
    lG765: ( nat * nat ) > nat ).

tff(func_def_2115,type,
    lG767: ( nat * nat ) > nat ).

tff(func_def_2116,type,
    bG769: $o > $o ).

tff(func_def_2117,type,
    bG770: $o > $o ).

tff(func_def_2118,type,
    bG771: $o > $o ).

tff(func_def_2119,type,
    bG772: $o > $o ).

tff(func_def_2120,type,
    lG773: ( nat * nat ) > nat ).

tff(func_def_2121,type,
    lG775: ( nat * nat ) > nat ).

tff(func_def_2122,type,
    iG777: ( nat * nat ) > nat ).

tff(func_def_2123,type,
    iG778: ( nat * nat ) > nat ).

tff(func_def_2124,type,
    iG779: ( nat * nat ) > nat ).

tff(func_def_2125,type,
    iG782: 
      !>[X0: $tType] : ( X0 > X0 ) ).

tff(func_def_2126,type,
    iG783: ( int * int ) > int ).

tff(func_def_2127,type,
    lG784: nat > nat ).

tff(func_def_2128,type,
    lG785: nat > nat ).

tff(func_def_2129,type,
    iG786: nat > vEBT_VEBT ).

tff(func_def_2130,type,
    iG787: 
      !>[X0: $tType] : ( ( nat * X0 ) > X0 ) ).

tff(func_def_2131,type,
    lG788: nat > nat ).

tff(func_def_2132,type,
    lG789: nat > nat ).

tff(func_def_2133,type,
    iG790: nat > vEBT_VEBT ).

tff(func_def_2134,type,
    iG791: 
      !>[X0: $tType] : ( ( nat * nat * X0 ) > X0 ) ).

tff(func_def_2135,type,
    iG792: 
      !>[X0: $tType] : ( ( nat * nat * X0 ) > X0 ) ).

tff(func_def_2136,type,
    iG793: 
      !>[X0: $tType] : ( ( nat * nat * X0 ) > X0 ) ).

tff(func_def_2137,type,
    iG794: 
      !>[X0: $tType] : ( ( X0 * nat ) > X0 ) ).

tff(func_def_2138,type,
    iG795: ( nat * nat ) > product_prod(nat,nat) ).

tff(func_def_2139,type,
    lG796: nat > nat ).

tff(func_def_2140,type,
    lG797: nat > nat ).

tff(func_def_2141,type,
    iG798: nat > vEBT_VEBT ).

tff(func_def_2142,type,
    bG799: $o > $o ).

tff(func_def_2143,type,
    bG800: $o > $o ).

tff(func_def_2144,type,
    bG801: $o > $o ).

tff(func_def_2145,type,
    bG802: $o > $o ).

tff(func_def_2146,type,
    bG803: $o > $o ).

tff(func_def_2147,type,
    bG804: $o > $o ).

tff(func_def_2148,type,
    bG805: $o > $o ).

tff(func_def_2149,type,
    bG806: nat > $o ).

tff(func_def_2150,type,
    bG807: $o > $o ).

tff(func_def_2151,type,
    bG808: nat > $o ).

tff(func_def_2152,type,
    bG809: nat > $o ).

tff(func_def_2153,type,
    bG810: $o > $o ).

tff(func_def_2154,type,
    bG811: $o > $o ).

tff(func_def_2155,type,
    bG812: $o > $o ).

tff(func_def_2156,type,
    bG813: $o > $o ).

tff(func_def_2157,type,
    bG814: $o > $o ).

tff(func_def_2158,type,
    iG815: 
      !>[X0: $tType] : ( $o > X0 ) ).

tff(func_def_2159,type,
    bG816: 
      !>[X0: $tType] : ( ( nat * nat ) > $o ) ).

tff(func_def_2160,type,
    iG817: 
      !>[X0: $tType] : ( ( num * num ) > product_prod(X0,X0) ) ).

tff(func_def_2161,type,
    bG818: int > $o ).

tff(func_def_2162,type,
    iG819: 
      !>[X0: $tType] : ( ( num * num ) > product_prod(X0,X0) ) ).

tff(func_def_2163,type,
    iG820: 
      !>[X0: $tType] : ( ( num * num ) > X0 ) ).

tff(func_def_2164,type,
    iG821: 
      !>[X0: $tType] : ( ( num * num ) > X0 ) ).

tff(func_def_2165,type,
    iG822: 
      !>[X0: $tType] : ( ( num * num ) > X0 ) ).

tff(func_def_2166,type,
    iG825: 
      !>[X0: $tType] : ( ( num * num ) > product_prod(X0,X0) ) ).

tff(func_def_2167,type,
    iG828: 
      !>[X0: $tType] : ( ( X0 * X0 * X0 ) > $o ) ).

tff(func_def_2168,type,
    iG829: 
      !>[X0: $tType] : ( ( X0 * X0 * X0 ) > $o ) ).

tff(func_def_2169,type,
    iG830: 
      !>[X0: $tType] : ( ( X0 * X0 * X0 ) > $o ) ).

tff(func_def_2170,type,
    iG831: 
      !>[X0: $tType] : ( ( X0 * X0 * X0 ) > $o ) ).

tff(func_def_2171,type,
    iG834: 
      !>[X0: $tType] : ( ( X0 * X0 * X0 ) > X0 ) ).

tff(func_def_2172,type,
    iG835: 
      !>[X0: $tType] : ( ( X0 * X0 * X0 ) > X0 ) ).

tff(func_def_2173,type,
    iG836: 
      !>[X0: $tType] : ( ( X0 * X0 * X0 ) > X0 ) ).

tff(func_def_2174,type,
    iG837: 
      !>[X0: $tType] : ( ( X0 * X0 * X0 ) > $o ) ).

tff(func_def_2175,type,
    iG838: 
      !>[X0: $tType] : ( ( X0 * X0 * X0 ) > $o ) ).

tff(func_def_2176,type,
    iG839: 
      !>[X0: $tType] : ( ( X0 * X0 * X0 ) > $o ) ).

tff(func_def_2177,type,
    iG840: 
      !>[X0: $tType] : ( ( X0 * X0 * X0 ) > $o ) ).

tff(func_def_2178,type,
    iG841: 
      !>[X0: $tType] : ( ( X0 * num * X0 ) > $o ) ).

tff(func_def_2179,type,
    iG842: 
      !>[X0: $tType] : ( ( X0 * num * X0 ) > $o ) ).

tff(func_def_2180,type,
    iG843: 
      !>[X0: $tType] : ( ( X0 * num * X0 ) > $o ) ).

tff(func_def_2181,type,
    iG844: 
      !>[X0: $tType] : ( ( X0 * num * X0 ) > $o ) ).

tff(func_def_2182,type,
    iG845: ( int * int ) > int ).

tff(func_def_2183,type,
    iG846: ( int * int ) > int ).

tff(func_def_2184,type,
    iG847: 
      !>[X0: $tType] : ( ( X0 * num * X0 ) > $o ) ).

tff(func_def_2185,type,
    iG848: 
      !>[X0: $tType] : ( ( X0 * num * X0 ) > $o ) ).

tff(func_def_2186,type,
    iG849: 
      !>[X0: $tType] : ( ( X0 * num * X0 ) > $o ) ).

tff(func_def_2187,type,
    iG850: 
      !>[X0: $tType] : ( ( X0 * num * X0 ) > $o ) ).

tff(func_def_2188,type,
    iG851: 
      !>[X0: $tType] : ( ( nat * X0 ) > X0 ) ).

tff(func_def_2189,type,
    lG852: 
      !>[X0: $tType] : ( int > X0 ) ).

tff(func_def_2190,type,
    iG853: 
      !>[X0: $tType] : ( int > X0 ) ).

tff(func_def_2191,type,
    iG854: 
      !>[X0: $tType] : ( int > X0 ) ).

tff(func_def_2192,type,
    iG855: 
      !>[X0: $tType] : ( int > X0 ) ).

tff(func_def_2193,type,
    iG856: 
      !>[X0: $tType] : ( ( nat * nat ) > fun(X0,X0) ) ).

tff(func_def_2194,type,
    bG857: nat > $o ).

tff(func_def_2195,type,
    bG858: nat > $o ).

tff(func_def_2196,type,
    iG859: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * X1 * fun(X1,X0) ) > X0 ) ).

tff(func_def_2197,type,
    iG860: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * X1 * fun(X1,X0) ) > X0 ) ).

tff(func_def_2198,type,
    iG861: 
      !>[X0: $tType] : ( ( nat * nat * fun(nat,X0) ) > X0 ) ).

tff(func_def_2199,type,
    iG862: 
      !>[X0: $tType] : ( ( set(nat) * fun(nat,X0) ) > X0 ) ).

tff(func_def_2200,type,
    iG863: 
      !>[X0: $tType] : ( ( set(nat) * fun(nat,X0) * fun(nat,X0) ) > X0 ) ).

tff(func_def_2201,type,
    iG865: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * X1 * fun(X1,X0) ) > X0 ) ).

tff(func_def_2202,type,
    iG866: 
      !>[X0: $tType] : ( ( set(X0) * X0 * set(X0) ) > set(X0) ) ).

tff(func_def_2203,type,
    iG867: 
      !>[X0: $tType] : ( ( set(X0) * X0 * fun(X0,nat) ) > nat ) ).

tff(func_def_2204,type,
    iG868: 
      !>[X0: $tType] : ( ( X0 * fun(X0,$o) ) > set(X0) ) ).

tff(func_def_2205,type,
    iG869: 
      !>[X0: $tType] : ( ( X0 * fun(X0,$o) ) > set(X0) ) ).

tff(func_def_2206,type,
    iG870: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * X1 * fun(X1,X0) ) > X0 ) ).

tff(func_def_2207,type,
    iG871: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * X1 * fun(X1,X0) * fun(X1,X0) ) > X0 ) ).

tff(func_def_2208,type,
    iG872: 
      !>[X0: $tType] : ( ( set(X0) * X0 * set(X0) ) > $o ) ).

tff(func_def_2209,type,
    iG873: 
      !>[X0: $tType] : ( ( set(X0) * X0 * set(X0) ) > $o ) ).

tff(func_def_2210,type,
    iG874: 
      !>[X0: $tType] : ( ( set(X0) * X0 * set(X0) ) > $o ) ).

tff(func_def_2211,type,
    iG875: 
      !>[X0: $tType] : ( ( nat * X0 ) > set(X0) ) ).

tff(func_def_2212,type,
    iG876: 
      !>[X0: $tType] : ( ( nat * nat * fun(nat,X0) ) > X0 ) ).

tff(func_def_2213,type,
    iG877: ( nat * nat ) > nat ).

tff(func_def_2214,type,
    iG878: ( nat * nat ) > nat ).

tff(func_def_2215,type,
    iG879: 
      !>[X0: $tType] : ( ( X0 * nat * nat ) > X0 ) ).

tff(func_def_2216,type,
    iG880: 
      !>[X0: $tType] : ( ( nat * nat * X0 ) > X0 ) ).

tff(func_def_2217,type,
    bG881: $o > $o ).

tff(func_def_2218,type,
    bG882: $o > $o ).

tff(func_def_2219,type,
    iG883: ( nat * nat ) > int ).

tff(func_def_2220,type,
    iG884: ( int * int ) > set(int) ).

tff(func_def_2221,type,
    iG885: 
      !>[X0: $tType] : ( nat > X0 ) ).

tff(func_def_2222,type,
    bG886: ( int * int ) > $o ).

tff(func_def_2223,type,
    bG887: ( int * int ) > $o ).

tff(func_def_2224,type,
    iG888: ( int * int ) > int ).

tff(func_def_2225,type,
    bG889: ( int * int ) > $o ).

tff(func_def_2226,type,
    bG890: ( int * int ) > $o ).

tff(func_def_2227,type,
    iG891: ( int * int ) > int ).

tff(func_def_2228,type,
    iG892: ( nat * nat ) > nat ).

tff(func_def_2229,type,
    bG893: ( int * int ) > $o ).

tff(func_def_2230,type,
    bG894: ( int * int ) > $o ).

tff(func_def_2231,type,
    iG895: ( int * int ) > int ).

tff(func_def_2232,type,
    bG896: ( int * int ) > $o ).

tff(func_def_2233,type,
    bG897: ( int * int ) > $o ).

tff(func_def_2234,type,
    iG898: ( int * int ) > int ).

tff(func_def_2235,type,
    bG899: ( nat * nat ) > $o ).

tff(func_def_2236,type,
    iG900: ( int * int * nat * nat ) > int ).

tff(func_def_2237,type,
    iG901: ( int * int * nat * nat ) > int ).

tff(func_def_2238,type,
    bG902: 
      !>[X0: $tType] : ( X0 > $o ) ).

tff(func_def_2239,type,
    iG903: 
      !>[X0: $tType] : ( X0 > X0 ) ).

tff(func_def_2240,type,
    iG904: 
      !>[X0: $tType] : ( X0 > X0 ) ).

tff(func_def_2241,type,
    iG905: int > int ).

tff(func_def_2242,type,
    iG906: int > int ).

tff(func_def_2243,type,
    iG907: 
      !>[X0: $tType] : ( X0 > real ) ).

tff(func_def_2244,type,
    bG908: ( nat * nat ) > $o ).

tff(func_def_2245,type,
    iG909: ( int * int * nat * nat ) > int ).

tff(func_def_2246,type,
    iG910: ( int * int * nat * nat ) > int ).

tff(func_def_2247,type,
    iG911: real > real ).

tff(func_def_2248,type,
    iG912: real > real ).

tff(func_def_2249,type,
    iG913: 
      !>[X0: $tType] : ( X0 > X0 ) ).

tff(func_def_2250,type,
    bG914: 
      !>[X0: $tType] : ( X0 > $o ) ).

tff(func_def_2251,type,
    bG915: 
      !>[X0: $tType] : ( X0 > $o ) ).

tff(func_def_2252,type,
    iG916: 
      !>[X0: $tType] : ( X0 > X0 ) ).

tff(func_def_2253,type,
    iG917: 
      !>[X0: $tType] : ( X0 > X0 ) ).

tff(func_def_2254,type,
    iG918: 
      !>[X0: $tType] : ( X0 > X0 ) ).

tff(func_def_2255,type,
    iG919: real > real ).

tff(func_def_2256,type,
    iG920: 
      !>[X0: $tType] : ( X0 > int ) ).

tff(func_def_2257,type,
    iG921: ( int * real ) > real ).

tff(func_def_2258,type,
    iG922: ( nat * nat ) > nat ).

tff(func_def_2259,type,
    iG923: int > int ).

tff(func_def_2260,type,
    iG926: 
      !>[X0: $tType] : ( ( X0 * X0 ) > X0 ) ).

tff(func_def_2261,type,
    lG927: ( int * int ) > int ).

tff(func_def_2262,type,
    iG928: ( int * int ) > nat ).

tff(func_def_2263,type,
    iG929: ( int * int ) > nat ).

tff(func_def_2264,type,
    iG930: 
      !>[X0: $tType] : ( int > X0 ) ).

tff(func_def_2265,type,
    bG931: nat > $o ).

tff(func_def_2266,type,
    iG932: ( int * nat ) > $o ).

tff(func_def_2267,type,
    iG933: 
      !>[X0: $tType] : ( ( X0 * X0 ) > int ) ).

tff(func_def_2268,type,
    iG934: ( int * real ) > real ).

tff(func_def_2269,type,
    iG935: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * X1 * fun(X1,X0) ) > X0 ) ).

tff(func_def_2270,type,
    iG936: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * X1 * fun(X1,X0) ) > X0 ) ).

tff(func_def_2271,type,
    iG937: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,X0) ) > X0 ) ).

tff(func_def_2272,type,
    iG938: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * X1 * fun(X1,X0) ) > X0 ) ).

tff(func_def_2273,type,
    iG939: 
      !>[X0: $tType] : ( ( X0 * X0 ) > X0 ) ).

tff(func_def_2274,type,
    iG940: 
      !>[X0: $tType] : ( nat > X0 ) ).

tff(func_def_2275,type,
    iG941: nat > real ).

tff(func_def_2276,type,
    iG942: 
      !>[X0: $tType] : ( ( nat * X0 ) > X0 ) ).

tff(func_def_2277,type,
    iG945: 
      !>[X0: $tType] : ( ( nat * nat * X0 * fun(nat,fun(X0,X0)) ) > X0 ) ).

tff(func_def_2278,type,
    iG946: 
      !>[X0: $tType] : ( ( nat * nat * X0 * fun(nat,fun(X0,X0)) ) > X0 ) ).

tff(func_def_2279,type,
    iG947: ( nat * nat ) > nat ).

tff(func_def_2280,type,
    iG948: ( nat * nat ) > nat ).

tff(func_def_2281,type,
    iG949: 
      !>[X0: $tType] : ( ( nat * X0 ) > X0 ) ).

tff(func_def_2282,type,
    iG950: ( nat * nat ) > nat ).

tff(func_def_2283,type,
    iG951: ( nat * nat ) > nat ).

tff(func_def_2284,type,
    iG952: 
      !>[X0: $tType] : ( nat > X0 ) ).

tff(func_def_2285,type,
    iG953: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * X1 * fun(X1,X0) ) > X0 ) ).

tff(func_def_2286,type,
    iG954: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * X1 * fun(X1,X0) ) > X0 ) ).

tff(func_def_2287,type,
    iG955: 
      !>[X0: $tType] : ( ( nat * nat * fun(nat,X0) ) > X0 ) ).

tff(func_def_2288,type,
    iG956: 
      !>[X0: $tType] : ( ( nat * nat * fun(nat,X0) ) > X0 ) ).

tff(func_def_2289,type,
    iG957: 
      !>[X0: $tType] : ( ( nat * nat * fun(nat,X0) ) > X0 ) ).

tff(func_def_2290,type,
    iG958: rat > rat ).

tff(func_def_2291,type,
    iG959: rat > rat ).

tff(func_def_2292,type,
    iG960: rat > rat ).

tff(func_def_2293,type,
    iG961: 
      !>[X0: $tType] : ( ( nat * nat * fun(nat,X0) ) > X0 ) ).

tff(func_def_2294,type,
    iG962: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * X1 * fun(X1,X0) ) > X0 ) ).

tff(func_def_2295,type,
    iG963: ( nat * nat ) > set(nat) ).

tff(func_def_2296,type,
    iG964: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * X1 * fun(X1,X0) * fun(X1,X0) ) > X0 ) ).

tff(func_def_2297,type,
    iG965: 
      !>[X0: $tType] : ( ( nat * nat * fun(nat,X0) ) > X0 ) ).

tff(func_def_2298,type,
    iG966: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * X1 * fun(X1,X0) ) > X0 ) ).

tff(func_def_2299,type,
    bG967: $o > $o ).

tff(func_def_2300,type,
    bG968: $o > $o ).

tff(func_def_2301,type,
    iG969: code_integer > code_integer ).

tff(func_def_2302,type,
    iG970: code_integer > code_integer ).

tff(func_def_2303,type,
    iG971: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > nat ) ).

tff(func_def_2304,type,
    iG972: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > nat ) ).

tff(func_def_2305,type,
    iG973: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * X1 * X0 * fun(X1,X0) ) > X0 ) ).

tff(func_def_2306,type,
    lG974: int > code_integer ).

tff(func_def_2307,type,
    iG975: int > code_integer ).

tff(func_def_2308,type,
    iG976: int > code_integer ).

tff(func_def_2309,type,
    iG977: int > code_integer ).

tff(func_def_2310,type,
    iG978: code_integer > code_integer ).

tff(func_def_2311,type,
    bG979: $o > $o ).

tff(func_def_2312,type,
    bG980: 
      !>[X0: $tType] : ( X0 > $o ) ).

tff(func_def_2313,type,
    iG981: 
      !>[X0: $tType] : ( ( nat * X0 * X0 ) > $o ) ).

tff(func_def_2314,type,
    bG982: 
      !>[X0: $tType] : ( X0 > $o ) ).

tff(func_def_2315,type,
    iG983: 
      !>[X0: $tType] : ( ( nat * X0 ) > $o ) ).

tff(func_def_2316,type,
    iG984: code_integer > int ).

tff(func_def_2317,type,
    iG985: code_integer > int ).

tff(func_def_2318,type,
    bG986: code_integer > $o ).

tff(func_def_2319,type,
    iG987: code_integer > product_prod(code_integer,$o) ).

tff(func_def_2320,type,
    iG988: code_integer > nat ).

tff(func_def_2321,type,
    iG989: ( code_integer * code_integer ) > product_prod(code_integer,code_integer) ).

tff(func_def_2322,type,
    iG990: ( code_integer * code_integer ) > product_prod(code_integer,code_integer) ).

tff(func_def_2323,type,
    iG991: ( code_integer * code_integer ) > product_prod(code_integer,code_integer) ).

tff(func_def_2324,type,
    iG992: ( code_integer * code_integer ) > product_prod(code_integer,code_integer) ).

tff(func_def_2325,type,
    iG993: ( code_integer * code_integer ) > product_prod(code_integer,code_integer) ).

tff(func_def_2326,type,
    iG994: ( nat * nat ) > product_prod(nat,nat) ).

tff(func_def_2327,type,
    iG995: ( nat * nat ) > product_prod(nat,nat) ).

tff(func_def_2328,type,
    iG996: ( nat * nat ) > product_prod(int,int) ).

tff(func_def_2329,type,
    iG997: ( nat * nat ) > product_prod(int,int) ).

tff(func_def_2330,type,
    iG998: ( nat * nat ) > product_prod(int,int) ).

tff(func_def_2331,type,
    lG999: product_prod(int,int) > int ).

tff(func_def_2332,type,
    lG1000: product_prod(int,int) > int ).

tff(func_def_2333,type,
    iG1001: product_prod(int,int) > product_prod(int,int) ).

tff(func_def_2334,type,
    iG1002: product_prod(int,int) > product_prod(int,int) ).

tff(func_def_2335,type,
    bG1003: $o > $o ).

tff(func_def_2336,type,
    bG1004: $o > $o ).

tff(func_def_2337,type,
    iG1005: $o > option(nat) ).

tff(func_def_2338,type,
    iG1006: ( $o * $o ) > option(nat) ).

tff(func_def_2339,type,
    bG1007: $o > $o ).

tff(func_def_2340,type,
    bG1008: $o > $o ).

tff(func_def_2341,type,
    bG1009: $o > $o ).

tff(func_def_2342,type,
    bG1010: $o > $o ).

tff(func_def_2343,type,
    iG1011: $o > option(nat) ).

tff(func_def_2344,type,
    iG1012: ( $o * $o ) > option(nat) ).

tff(func_def_2345,type,
    bG1013: $o > $o ).

tff(func_def_2346,type,
    bG1014: $o > $o ).

tff(func_def_2347,type,
    iG1015: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_2348,type,
    iG1016: ( nat * nat ) > product_prod(nat,nat) ).

tff(func_def_2349,type,
    iG1017: ( nat * nat ) > nat ).

tff(func_def_2350,type,
    iG1018: ( nat * nat ) > nat ).

tff(func_def_2351,type,
    iG1019: ( nat * nat ) > nat ).

tff(func_def_2352,type,
    bG1020: $o > $o ).

tff(func_def_2353,type,
    bG1021: $o > $o ).

tff(func_def_2354,type,
    bG1022: $o > $o ).

tff(func_def_2355,type,
    bG1023: $o > $o ).

tff(func_def_2356,type,
    bG1024: $o > $o ).

tff(func_def_2357,type,
    bG1025: $o > $o ).

tff(func_def_2358,type,
    bG1026: $o > $o ).

tff(func_def_2359,type,
    bG1027: $o > $o ).

tff(func_def_2360,type,
    iG1028: ( code_integer * code_integer ) > product_prod(code_integer,code_integer) ).

tff(func_def_2361,type,
    iG1029: ( code_integer * code_integer ) > product_prod(code_integer,code_integer) ).

tff(func_def_2362,type,
    iG1030: ( code_integer * code_integer ) > product_prod(code_integer,code_integer) ).

tff(func_def_2363,type,
    iG1031: 
      !>[X0: $tType] : ( ( set(X0) * X0 * set(X0) ) > set(X0) ) ).

tff(func_def_2364,type,
    iG1032: 
      !>[X0: $tType] : ( ( set(X0) * X0 * set(X0) ) > set(X0) ) ).

tff(func_def_2365,type,
    iG1033: 
      !>[X0: $tType] : ( ( X0 * X0 ) > set(X0) ) ).

tff(func_def_2366,type,
    iG1034: 
      !>[X0: $tType] : ( ( list(X0) * X0 ) > nat ) ).

tff(func_def_2367,type,
    iG1035: 
      !>[X0: $tType] : ( ( nat * X0 ) > X0 ) ).

tff(func_def_2368,type,
    bG1036: $o > $o ).

tff(func_def_2369,type,
    bG1037: ( nat * $o ) > $o ).

tff(func_def_2370,type,
    bG1038: nat > $o ).

tff(func_def_2371,type,
    bG1039: nat > $o ).

tff(func_def_2372,type,
    iG1040: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * X1 * fun(X1,X0) ) > X0 ) ).

tff(func_def_2373,type,
    iG1041: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,X0) ) > X0 ) ).

tff(func_def_2374,type,
    iG1042: ( nat * nat ) > set(nat) ).

tff(func_def_2375,type,
    iG1043: ( nat * nat * nat ) > set(nat) ).

tff(func_def_2376,type,
    iG1044: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * X0 ) > set(X0) ) ).

tff(func_def_2377,type,
    iG1045: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * X0 ) > X0 ) ).

tff(func_def_2378,type,
    iG1046: 
      !>[X0: $tType] : ( ( X0 * X0 * X0 ) > set(X0) ) ).

tff(func_def_2379,type,
    iG1047: 
      !>[X0: $tType] : ( ( X0 * X0 * X0 ) > set(X0) ) ).

tff(func_def_2380,type,
    iG1048: 
      !>[X0: $tType] : ( ( X0 * X0 * X0 ) > set(X0) ) ).

tff(func_def_2381,type,
    iG1049: 
      !>[X0: $tType] : ( ( X0 * X0 * X0 ) > set(X0) ) ).

tff(func_def_2382,type,
    iG1050: 
      !>[X0: $tType] : ( ( X0 * X0 * X0 * X0 ) > set(X0) ) ).

tff(func_def_2383,type,
    iG1051: 
      !>[X0: $tType] : ( ( X0 * X0 * X0 * X0 ) > set(X0) ) ).

tff(func_def_2384,type,
    iG1052: 
      !>[X0: $tType] : ( ( X0 * X0 * X0 * X0 ) > set(X0) ) ).

tff(func_def_2385,type,
    iG1053: 
      !>[X0: $tType] : ( ( X0 * X0 * X0 * X0 ) > set(X0) ) ).

tff(func_def_2386,type,
    iG1054: 
      !>[X0: $tType] : ( ( X0 * X0 * X0 * X0 ) > set(X0) ) ).

tff(func_def_2387,type,
    iG1055: 
      !>[X0: $tType] : ( ( X0 * X0 * X0 * X0 ) > set(X0) ) ).

tff(func_def_2388,type,
    iG1056: 
      !>[X0: $tType] : ( ( X0 * X0 * X0 * X0 ) > set(X0) ) ).

tff(func_def_2389,type,
    iG1057: 
      !>[X0: $tType] : ( ( X0 * X0 * X0 * X0 ) > set(X0) ) ).

tff(func_def_2390,type,
    iG1058: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * set(X0) ) > set(X0) ) ).

tff(func_def_2391,type,
    iG1059: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,set(X0)) * X0 ) > set(X0) ) ).

tff(func_def_2392,type,
    iG1060: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,set(X0)) * X0 ) > set(X0) ) ).

tff(func_def_2393,type,
    iG1061: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,set(X0)) * set(X0) ) > set(X0) ) ).

tff(func_def_2394,type,
    iG1062: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * set(X0) * fun(X1,set(X0)) ) > set(X0) ) ).

tff(func_def_2395,type,
    iG1063: 
      !>[X0: $tType] : ( ( set(set(X0)) * set(X0) ) > set(X0) ) ).

tff(func_def_2396,type,
    iG1064: 
      !>[X0: $tType] : ( ( set(set(X0)) * set(X0) ) > set(X0) ) ).

tff(func_def_2397,type,
    iG1065: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,set(X0)) * set(X0) ) > set(X0) ) ).

tff(func_def_2398,type,
    bG1066: $o > $o ).

tff(func_def_2399,type,
    iG1067: 
      !>[X0: $tType] : ( $o > set(X0) ) ).

tff(func_def_2400,type,
    iG1068: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * set(X0) ) > set(X0) ) ).

tff(func_def_2401,type,
    iG1069: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,set(X0)) * set(X0) ) > set(X0) ) ).

tff(func_def_2402,type,
    iG1070: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * set(X0) * fun(X1,set(X0)) ) > set(X0) ) ).

tff(func_def_2403,type,
    iG1071: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * set(X0) * fun(X1,set(X0)) ) > set(X0) ) ).

tff(func_def_2404,type,
    iG1072: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,set(X0)) * set(X0) ) > set(X0) ) ).

tff(func_def_2405,type,
    iG1073: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * X0 ) > X0 ) ).

tff(func_def_2406,type,
    iG1074: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * set(X0) * fun(X1,set(X0)) ) > set(X0) ) ).

tff(func_def_2407,type,
    iG1075: real > set(real) ).

tff(func_def_2408,type,
    bG1076: $o > $o ).

tff(func_def_2409,type,
    iG1077: 
      !>[X0: $tType,X1: $tType] : ( $o > set(product_prod(X1,X0)) ) ).

tff(func_def_2410,type,
    iG1078: ( nat * real ) > real ).

tff(func_def_2411,type,
    bG1080: $o > $o ).

tff(func_def_2412,type,
    bG1081: $o > $o ).

tff(func_def_2413,type,
    iG1082: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_2414,type,
    iG1083: set(nat) > nat ).

tff(func_def_2415,type,
    iG1084: ( nat * nat ) > nat ).

tff(func_def_2416,type,
    iG1085: 
      !>[X0: $tType] : ( ( X0 * set(X0) ) > X0 ) ).

tff(func_def_2417,type,
    iG1086: 
      !>[X0: $tType] : ( ( X0 * set(X0) ) > X0 ) ).

tff(func_def_2418,type,
    iG1087: 
      !>[X0: $tType] : ( int > X0 ) ).

tff(func_def_2419,type,
    iG1088: 
      !>[X0: $tType] : ( X0 > X0 ) ).

tff(func_def_2420,type,
    lG1089: nat > nat ).

tff(func_def_2421,type,
    lG1090: nat > nat ).

tff(func_def_2422,type,
    bG1091: ( vEBT_VEBT * list(vEBT_VEBT) ) > $o ).

tff(func_def_2423,type,
    bG1092: $o > $o ).

tff(func_def_2424,type,
    bG1093: $o > $o ).

tff(func_def_2425,type,
    iG1094: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * set(X0) * fun(X1,set(X0)) ) > set(X0) ) ).

tff(func_def_2426,type,
    iG1095: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,set(X0)) * set(X0) ) > set(X0) ) ).

tff(func_def_2427,type,
    iG1096: 
      !>[X0: $tType,X1: $tType] : ( ( option(X1) * fun(X1,X0) * X0 ) > X0 ) ).

tff(func_def_2428,type,
    bG1097: $o > $o ).

tff(func_def_2429,type,
    iG1098: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * set(X0) * fun(X1,set(X0)) ) > set(X0) ) ).

tff(func_def_2430,type,
    iG1099: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,set(X0)) * set(X0) ) > set(X0) ) ).

tff(func_def_2431,type,
    iG1100: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_2432,type,
    lG1101: nat > nat ).

tff(func_def_2433,type,
    lG1102: nat > nat ).

tff(func_def_2434,type,
    bG1103: ( vEBT_VEBT * list(vEBT_VEBT) ) > $o ).

tff(func_def_2435,type,
    lG1104: nat > nat ).

tff(func_def_2436,type,
    lG1105: nat > nat ).

tff(func_def_2437,type,
    bG1106: ( vEBT_VEBT * list(vEBT_VEBT) ) > $o ).

tff(func_def_2438,type,
    bG1107: $o > $o ).

tff(func_def_2439,type,
    bG1108: $o > $o ).

tff(func_def_2440,type,
    lG1109: nat > nat ).

tff(func_def_2441,type,
    lG1110: nat > nat ).

tff(func_def_2442,type,
    bG1111: ( vEBT_VEBT * list(vEBT_VEBT) ) > $o ).

tff(func_def_2443,type,
    bG1112: $o > $o ).

tff(func_def_2444,type,
    bG1113: $o > $o ).

tff(func_def_2445,type,
    lG1114: nat > nat ).

tff(func_def_2446,type,
    lG1115: nat > nat ).

tff(func_def_2447,type,
    bG1116: ( vEBT_VEBT * list(vEBT_VEBT) ) > $o ).

tff(func_def_2448,type,
    bG1117: $o > $o ).

tff(func_def_2449,type,
    bG1118: $o > $o ).

tff(func_def_2450,type,
    bG1119: $o > $o ).

tff(func_def_2451,type,
    bG1120: $o > $o ).

tff(func_def_2452,type,
    lG1121: nat > nat ).

tff(func_def_2453,type,
    lG1122: nat > nat ).

tff(func_def_2454,type,
    bG1123: ( vEBT_VEBT * list(vEBT_VEBT) ) > $o ).

tff(func_def_2455,type,
    bG1124: $o > $o ).

tff(func_def_2456,type,
    bG1125: $o > $o ).

tff(func_def_2457,type,
    bG1126: $o > $o ).

tff(func_def_2458,type,
    bG1127: $o > $o ).

tff(func_def_2459,type,
    lG1128: nat > nat ).

tff(func_def_2460,type,
    lG1129: nat > nat ).

tff(func_def_2461,type,
    bG1130: ( vEBT_VEBT * list(vEBT_VEBT) ) > $o ).

tff(func_def_2462,type,
    bG1131: $o > $o ).

tff(func_def_2463,type,
    bG1132: $o > $o ).

tff(func_def_2464,type,
    bG1133: $o > $o ).

tff(func_def_2465,type,
    bG1134: $o > $o ).

tff(func_def_2466,type,
    iG1135: 
      !>[X0: $tType] : ( ( X0 * set(X0) ) > X0 ) ).

tff(func_def_2467,type,
    iG1136: 
      !>[X0: $tType] : ( ( X0 * set(X0) ) > X0 ) ).

tff(func_def_2468,type,
    iG1137: 
      !>[X0: $tType] : ( ( X0 * set(X0) ) > X0 ) ).

tff(func_def_2469,type,
    iG1138: 
      !>[X0: $tType] : ( ( X0 * set(X0) ) > X0 ) ).

tff(func_def_2470,type,
    iG1139: 
      !>[X0: $tType] : ( ( X0 * set(X0) ) > X0 ) ).

tff(func_def_2471,type,
    iG1140: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * X1 * set(X0) ) > set(X0) ) ).

tff(func_def_2472,type,
    iG1141: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * X1 * fun(X1,X0) * X0 ) > set(X0) ) ).

tff(func_def_2473,type,
    iG1142: 
      !>[X0: $tType] : ( ( nat * fun(nat,X0) * X0 ) > X0 ) ).

tff(func_def_2474,type,
    iG1143: ( num * nat ) > set(nat) ).

tff(func_def_2475,type,
    iG1144: ( num * nat ) > option(num) ).

tff(func_def_2476,type,
    iG1145: 
      !>[X0: $tType] : ( nat > X0 ) ).

tff(func_def_2477,type,
    iG1146: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * X1 * fun(X1,option(X0)) * option(X0) ) > fun(X1,option(X0)) ) ).

tff(func_def_2478,type,
    iG1147: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * X1 * fun(X1,option(X0)) ) > fun(X1,option(X0)) ) ).

tff(func_def_2479,type,
    iG1148: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * X1 * fun(X1,option(X0)) ) > option(X0) ) ).

tff(func_def_2480,type,
    iG1149: 
      !>[X0: $tType] : ( ( num * num ) > X0 ) ).

tff(func_def_2481,type,
    iG1150: 
      !>[X0: $tType] : ( ( num * num ) > X0 ) ).

tff(func_def_2482,type,
    iG1151: 
      !>[X0: $tType] : ( ( num * num ) > X0 ) ).

tff(func_def_2483,type,
    iG1152: 
      !>[X0: $tType] : ( ( num * num ) > X0 ) ).

tff(func_def_2484,type,
    iG1153: 
      !>[X0: $tType] : ( ( X0 * X0 ) > X0 ) ).

tff(func_def_2485,type,
    iG1154: 
      !>[X0: $tType] : ( ( X0 * X0 ) > X0 ) ).

tff(func_def_2486,type,
    iG1155: 
      !>[X0: $tType] : ( ( X0 * X0 * X0 ) > X0 ) ).

tff(func_def_2487,type,
    iG1156: 
      !>[X0: $tType] : ( ( X0 * X0 * X0 ) > X0 ) ).

tff(func_def_2488,type,
    iG1157: 
      !>[X0: $tType] : ( ( X0 * X0 * X0 ) > X0 ) ).

tff(func_def_2489,type,
    iG1158: 
      !>[X0: $tType] : ( ( X0 * X0 * X0 ) > X0 ) ).

tff(func_def_2490,type,
    iG1159: 
      !>[X0: $tType] : ( ( X0 * X0 * X0 ) > X0 ) ).

tff(func_def_2491,type,
    iG1160: 
      !>[X0: $tType] : ( ( X0 * X0 * X0 ) > X0 ) ).

tff(func_def_2492,type,
    iG1161: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_2493,type,
    iG1162: 
      !>[X0: $tType,X1: $tType] : ( ( option(X1) * fun(X0,option(X1)) * X0 ) > set(X0) ) ).

tff(func_def_2494,type,
    iG1163: 
      !>[X0: $tType] : ( ( X0 * set(X0) ) > X0 ) ).

tff(func_def_2495,type,
    iG1164: 
      !>[X0: $tType] : ( ( X0 * set(X0) ) > X0 ) ).

tff(func_def_2496,type,
    iG1165: nat > num ).

tff(func_def_2497,type,
    iG1166: 
      !>[X0: $tType] : ( ( X0 * X0 * fun(X0,fun(X0,$o)) ) > X0 ) ).

tff(func_def_2498,type,
    iG1167: 
      !>[X0: $tType,X1: $tType] : ( ( list(X1) * list(X0) * X1 * X0 * fun(X1,option(X0)) ) > fun(X1,option(X0)) ) ).

tff(func_def_2499,type,
    iG1168: 
      !>[X0: $tType] : ( ( X0 * X0 * fun(X0,fun(X0,$o)) ) > X0 ) ).

tff(func_def_2500,type,
    iG1169: 
      !>[X0: $tType,X1: $tType] : ( ( list(X1) * X1 * fun(X1,X0) ) > option(X0) ) ).

tff(func_def_2501,type,
    iG1170: 
      !>[X0: $tType] : ( ( set(nat) * X0 ) > list(X0) ) ).

tff(func_def_2502,type,
    iG1171: 
      !>[X0: $tType,X1: $tType] : ( ( X0 * fun(X0,X1) * X0 * list(X0) ) > list(X0) ) ).

tff(func_def_2503,type,
    iG1172: 
      !>[X0: $tType] : ( ( X0 * X0 * list(X0) ) > list(X0) ) ).

tff(func_def_2504,type,
    iG1173: 
      !>[X0: $tType] : ( ( X0 * X0 * list(X0) ) > list(X0) ) ).

tff(func_def_2505,type,
    iG1174: 
      !>[X0: $tType] : ( ( X0 * X0 * list(X0) ) > list(X0) ) ).

tff(func_def_2506,type,
    iG1175: 
      !>[X0: $tType] : ( ( X0 * X0 * list(X0) ) > list(X0) ) ).

tff(func_def_2507,type,
    iG1176: 
      !>[X0: $tType] : ( ( list(X0) * X0 ) > list(X0) ) ).

tff(func_def_2508,type,
    iG1177: 
      !>[X0: $tType] : ( ( X0 * fun(X0,$o) * list(X0) ) > option(X0) ) ).

tff(func_def_2509,type,
    lG1178: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * X1 * list(X1) ) > X1 ) ).

tff(func_def_2510,type,
    iG1179: 
      !>[X0: $tType,X1: $tType] : ( ( list(X0) * X0 * fun(X0,X1) * X0 ) > X0 ) ).

tff(func_def_2511,type,
    iG1180: 
      !>[X0: $tType,X1: $tType] : ( ( X1 * X1 * list(product_prod(X1,X0)) * X0 ) > option(X0) ) ).

tff(func_def_2512,type,
    iG1181: 
      !>[X0: $tType] : ( ( X0 * X0 * list(X0) ) > nat ) ).

tff(func_def_2513,type,
    iG1182: 
      !>[X0: $tType] : ( ( nat * list(X0) * X0 ) > X0 ) ).

tff(func_def_2514,type,
    iG1183: 
      !>[X0: $tType] : ( ( nat * X0 ) > list(X0) ) ).

tff(func_def_2515,type,
    iG1184: 
      !>[X0: $tType] : ( ( nat * list(X0) * X0 ) > list(X0) ) ).

tff(func_def_2516,type,
    lG1185: 
      !>[X0: $tType] : ( list(X0) > set(set(X0)) ) ).

tff(func_def_2517,type,
    iG1186: 
      !>[X0: $tType] : ( nat > list(list(X0)) ) ).

tff(func_def_2518,type,
    iG1188: 
      !>[X0: $tType] : ( ( list(X0) * X0 * list(X0) ) > list(X0) ) ).

tff(func_def_2519,type,
    iG1189: 
      !>[X0: $tType] : ( ( X0 * X0 ) > list(X0) ) ).

tff(func_def_2520,type,
    lG1190: 
      !>[X0: $tType] : ( list(X0) > list(list(X0)) ) ).

tff(func_def_2521,type,
    iG1191: 
      !>[X0: $tType] : ( ( list(X0) * nat * list(X0) ) > X0 ) ).

tff(func_def_2522,type,
    iG1192: 
      !>[X0: $tType] : ( ( list(X0) * nat * X0 * list(X0) ) > list(X0) ) ).

tff(func_def_2523,type,
    iG1193: 
      !>[X0: $tType] : ( ( set(nat) * X0 ) > list(X0) ) ).

tff(func_def_2524,type,
    iG1194: 
      !>[X0: $tType] : ( ( nat * list(X0) * X0 ) > list(X0) ) ).

tff(func_def_2525,type,
    iG1196: 
      !>[X0: $tType] : ( ( X0 * X0 * list(X0) ) > list(X0) ) ).

tff(func_def_2526,type,
    iG1197: ( int * int * list(int) ) > list(int) ).

tff(func_def_2527,type,
    iG1198: ( int * int ) > list(int) ).

tff(func_def_2528,type,
    iG1199: ( int * int ) > list(int) ).

tff(func_def_2529,type,
    iG1200: ( num * num ) > list(int) ).

tff(func_def_2530,type,
    iG1201: ( num * num ) > list(int) ).

tff(func_def_2531,type,
    iG1202: ( num * num ) > list(int) ).

tff(func_def_2532,type,
    iG1203: ( num * num ) > list(int) ).

tff(func_def_2533,type,
    iG1204: ( int * int ) > list(int) ).

tff(func_def_2534,type,
    iG1205: ( int * int ) > list(int) ).

tff(func_def_2535,type,
    iG1206: ( num * num ) > list(nat) ).

tff(func_def_2536,type,
    iG1207: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) ) > X0 ) ).

tff(func_def_2537,type,
    iG1208: ( nat * nat ) > list(nat) ).

tff(func_def_2538,type,
    iG1209: ( nat * nat ) > list(nat) ).

tff(func_def_2539,type,
    iG1210: 
      !>[X0: $tType] : ( ( X0 * fun(X0,$o) * list(X0) ) > option(product_prod(list(X0),product_prod(X0,list(X0)))) ) ).

tff(func_def_2540,type,
    iG1211: 
      !>[X0: $tType] : ( ( X0 * fun(X0,$o) * nat ) > list(X0) ) ).

tff(func_def_2541,type,
    iG1212: 
      !>[X0: $tType] : ( ( X0 * fun(X0,$o) * list(X0) ) > list(X0) ) ).

tff(func_def_2542,type,
    iG1213: 
      !>[X0: $tType,X1: $tType] : ( ( list(X1) * fun(X1,fun(list(X1),X0)) * X0 ) > X0 ) ).

tff(func_def_2543,type,
    iG1214: 
      !>[X0: $tType] : ( list(X0) > nat ) ).

tff(func_def_2544,type,
    iG1215: 
      !>[X0: $tType] : ( ( list(X0) * fun(X0,nat) ) > nat ) ).

tff(func_def_2545,type,
    iG1216: 
      !>[X0: $tType] : ( ( list(X0) * X0 ) > X0 ) ).

tff(func_def_2546,type,
    iG1217: 
      !>[X0: $tType] : ( list(list(X0)) > nat ) ).

tff(func_def_2547,type,
    iG1218: 
      !>[X0: $tType] : ( ( X0 * fun(X0,$o) * nat ) > list(X0) ) ).

tff(func_def_2548,type,
    iG1219: 
      !>[X0: $tType] : ( ( X0 * fun(X0,$o) * list(X0) ) > list(X0) ) ).

tff(func_def_2549,type,
    iG1220: 
      !>[X0: $tType] : ( ( fun(X0,$o) * list(X0) * list(X0) ) > list(X0) ) ).

tff(func_def_2550,type,
    iG1221: 
      !>[X0: $tType] : ( ( X0 * fun(X0,$o) * nat ) > list(X0) ) ).

tff(func_def_2551,type,
    iG1222: 
      !>[X0: $tType] : ( ( X0 * fun(X0,$o) * list(X0) ) > list(X0) ) ).

tff(func_def_2552,type,
    iG1223: 
      !>[X0: $tType] : ( ( fun(X0,$o) * list(X0) * list(X0) ) > list(X0) ) ).

tff(func_def_2553,type,
    lG1224: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * X1 * list(X1) ) > X1 ) ).

tff(func_def_2554,type,
    iG1225: 
      !>[X0: $tType,X1: $tType] : ( ( list(X0) * X0 * fun(X0,X1) * X0 ) > X0 ) ).

tff(func_def_2555,type,
    iG1226: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * set(X0) ) > set(X0) ) ).

tff(func_def_2556,type,
    iG1227: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * set(X0) ) > set(X0) ) ).

tff(func_def_2557,type,
    iG1228: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * X1 ) > set(X0) ) ).

tff(func_def_2558,type,
    iG1229: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * X1 * set(X0) ) > set(X0) ) ).

tff(func_def_2559,type,
    iG1230: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * X1 * set(X0) ) > set(X0) ) ).

tff(func_def_2560,type,
    iG1231: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * X1 * X1 * set(X0) ) > set(X0) ) ).

tff(func_def_2561,type,
    iG1232: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * X1 * fun(X1,set(X0)) ) > set(X0) ) ).

tff(func_def_2562,type,
    iG1233: complex > real ).

tff(func_def_2563,type,
    iG1234: 
      !>[X0: $tType] : ( ( list(X0) * X0 ) > list(X0) ) ).

tff(func_def_2564,type,
    iG1235: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) ) > list(X0) ) ).

tff(func_def_2565,type,
    iG1236: 
      !>[X0: $tType] : ( ( nat * list(X0) * X0 ) > list(X0) ) ).

tff(func_def_2566,type,
    iG1237: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * X0 * fun(X1,fun(X0,X0)) ) > X0 ) ).

tff(func_def_2567,type,
    iG1238: 
      !>[X0: $tType] : ( ( nat * X0 * fun(X0,fun(X0,X0)) * X0 ) > X0 ) ).

tff(func_def_2568,type,
    iG1239: 
      !>[X0: $tType] : ( ( nat * nat * X0 * fun(nat,fun(X0,X0)) ) > X0 ) ).

tff(func_def_2569,type,
    iG1240: 
      !>[X0: $tType] : ( ( nat * nat * X0 * fun(nat,fun(X0,X0)) ) > X0 ) ).

tff(func_def_2570,type,
    lG1241: nat > code_integer ).

tff(func_def_2571,type,
    lG1242: nat > code_integer ).

tff(func_def_2572,type,
    iG1243: ( nat * nat ) > product_prod(code_integer,code_integer) ).

tff(func_def_2573,type,
    iG1244: ( nat * nat ) > product_prod(code_integer,code_integer) ).

tff(func_def_2574,type,
    iG1245: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_2575,type,
    bG1246: 
      !>[X0: $tType] : ( ( nat * nat ) > $o ) ).

tff(func_def_2576,type,
    iG1247: 
      !>[X0: $tType] : ( ( list(X0) * X0 ) > X0 ) ).

tff(func_def_2577,type,
    iG1248: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) ) > X0 ) ).

tff(func_def_2578,type,
    iG1249: 
      !>[X0: $tType] : ( ( nat * list(X0) * X0 ) > X0 ) ).

tff(func_def_2579,type,
    iG1250: 
      !>[X0: $tType] : ( ( list(X0) * X0 ) > list(X0) ) ).

tff(func_def_2580,type,
    iG1251: 
      !>[X0: $tType,X1: $tType] : ( ( list(X0) * fun(X0,X1) * X0 ) > list(X0) ) ).

tff(func_def_2581,type,
    iG1252: product_prod(int,int) > product_prod(int,int) ).

tff(func_def_2582,type,
    iG1253: ( int * int ) > product_prod(int,int) ).

tff(func_def_2583,type,
    iG1254: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * X0 * X0 ) > X0 ) ).

tff(func_def_2584,type,
    bG1255: $o > $o ).

tff(func_def_2585,type,
    bG1256: $o > $o ).

tff(func_def_2586,type,
    bG1257: $o > $o ).

tff(func_def_2587,type,
    bG1258: $o > $o ).

tff(func_def_2588,type,
    iG1259: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > fun(X0,real) ) ).

tff(func_def_2589,type,
    iG1260: set(a) > nat ).

tff(func_def_2590,type,
    iG1261: product_prod(int,int) > product_prod(int,int) ).

tff(func_def_2591,type,
    iG1262: 
      !>[X0: $tType] : ( ( nat * X0 ) > X0 ) ).

tff(func_def_2592,type,
    iG1263: 
      !>[X0: $tType] : ( ( nat * nat ) > X0 ) ).

tff(func_def_2593,type,
    iG1264: 
      !>[X0: $tType] : ( ( nat * X0 ) > X0 ) ).

tff(func_def_2594,type,
    iG1265: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( product_prod(X1,X2) * product_prod(X2,X0) ) > list(product_prod(X1,X0)) ) ).

tff(func_def_2595,type,
    iG1266: ( int * int ) > product_prod(int,int) ).

tff(func_def_2596,type,
    iG1267: ( int * int ) > product_prod(int,int) ).

tff(func_def_2597,type,
    iG1268: 
      !>[X0: $tType] : ( ( nat * nat ) > X0 ) ).

tff(func_def_2598,type,
    bG1269: 
      !>[X0: $tType] : ( ( set(X0) * fun(X0,nat) ) > $o ) ).

tff(func_def_2599,type,
    bG1270: 
      !>[X0: $tType] : ( ( set(X0) * fun(X0,nat) ) > $o ) ).

tff(func_def_2600,type,
    iG1271: 
      !>[X0: $tType] : ( ( set(X0) * fun(X0,nat) ) > $o ) ).

tff(func_def_2601,type,
    lG1272: code_integer > int ).

tff(func_def_2602,type,
    iG1273: ( code_integer * code_integer ) > int ).

tff(func_def_2603,type,
    lG1274: nat > a ).

tff(func_def_2604,type,
    iG1275: ( nat * nat ) > a ).

tff(func_def_2605,type,
    lG1276: code_integer > nat ).

tff(func_def_2606,type,
    lG1277: code_integer > nat ).

tff(func_def_2607,type,
    iG1278: ( code_integer * code_integer ) > nat ).

tff(func_def_2608,type,
    iG1279: ( code_integer * num * code_integer ) > product_prod(code_integer,code_integer) ).

tff(func_def_2609,type,
    iG1280: ( nat * num * nat ) > product_prod(nat,nat) ).

tff(func_def_2610,type,
    iG1281: ( int * num * int ) > product_prod(int,int) ).

tff(func_def_2611,type,
    iG1282: 
      !>[X0: $tType] : ( ( X0 * num * X0 ) > product_prod(X0,X0) ) ).

tff(func_def_2612,type,
    iG1283: 
      !>[X0: $tType] : ( ( X0 * X0 * list(X0) ) > list(X0) ) ).

tff(func_def_2613,type,
    iG1284: 
      !>[X0: $tType] : ( ( set(nat) * nat * fun(nat,X0) ) > X0 ) ).

tff(func_def_2614,type,
    iG1285: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * X1 * fun(X1,X0) ) > X0 ) ).

tff(func_def_2615,type,
    iG1286: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * X1 * fun(X1,X0) ) > X0 ) ).

tff(func_def_2616,type,
    iG1287: 
      !>[X0: $tType,X1: $tType] : ( ( X1 * X1 * fun(X1,X0) ) > X0 ) ).

tff(func_def_2617,type,
    iG1288: 
      !>[X0: $tType,X1: $tType] : ( ( X1 * X1 * fun(X1,X0) ) > X0 ) ).

tff(func_def_2618,type,
    iG1289: 
      !>[X0: $tType] : ( ( nat * nat * fun(nat,X0) ) > X0 ) ).

tff(func_def_2619,type,
    iG1290: 
      !>[X0: $tType,X1: $tType] : ( ( X1 * X1 * fun(X1,X0) ) > X0 ) ).

tff(func_def_2620,type,
    iG1291: 
      !>[X0: $tType,X1: $tType] : ( ( X1 * X1 * fun(X1,X0) ) > X0 ) ).

tff(func_def_2621,type,
    iG1292: ( code_integer * code_integer * code_integer ) > product_prod(code_integer,code_integer) ).

tff(func_def_2622,type,
    iG1293: ( code_integer * code_integer * code_integer ) > product_prod(code_integer,code_integer) ).

tff(func_def_2623,type,
    iG1294: ( code_integer * code_integer * code_integer ) > product_prod(code_integer,code_integer) ).

tff(func_def_2624,type,
    iG1295: 
      !>[X0: $tType] : ( ( X0 * fun(X0,$o) * set(X0) ) > set(X0) ) ).

tff(func_def_2625,type,
    iG1296: 
      !>[X0: $tType] : ( ( nat * fun(nat,$o) * fun(nat,X0) ) > X0 ) ).

tff(func_def_2626,type,
    iG1297: 
      !>[X0: $tType,X1: $tType] : ( ( X1 * fun(X1,$o) * fun(X1,X0) ) > X0 ) ).

tff(func_def_2627,type,
    iG1298: 
      !>[X0: $tType,X1: $tType] : ( ( X1 * fun(X1,$o) * fun(X1,X0) ) > X0 ) ).

tff(func_def_2628,type,
    iG1299: 
      !>[X0: $tType,X1: $tType] : ( ( X1 * fun(X1,$o) * fun(X1,X0) ) > X0 ) ).

tff(func_def_2629,type,
    iG1300: 
      !>[X0: $tType,X1: $tType] : ( ( X1 * fun(X1,$o) * fun(X1,X0) ) > option(X0) ) ).

tff(func_def_2630,type,
    iG1301: 
      !>[X0: $tType] : ( ( nat * nat ) > X0 ) ).

tff(func_def_2631,type,
    iG1302: ( code_integer * code_integer * code_integer ) > code_integer ).

tff(func_def_2632,type,
    bG1303: code_integer > $o ).

tff(func_def_2633,type,
    bG1304: $o > $o ).

tff(func_def_2634,type,
    bG1305: $o > $o ).

tff(func_def_2635,type,
    iG1306: 
      !>[X0: $tType] : ( ( nat * nat * X0 * X0 ) > X0 ) ).

tff(func_def_2636,type,
    iG1307: 
      !>[X0: $tType] : ( ( nat * nat * X0 * X0 ) > X0 ) ).

tff(func_def_2637,type,
    iG1308: 
      !>[X0: $tType] : ( ( nat * nat * X0 * X0 ) > X0 ) ).

tff(func_def_2638,type,
    iG1309: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( X2 * product_prod(X1,X2) * set(product_prod(X1,X0)) * X0 ) > set(product_prod(X1,X0)) ) ).

tff(func_def_2639,type,
    iG1310: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,X1) * X1 * X0 ) > X0 ) ).

tff(func_def_2640,type,
    iG1311: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * X1 * set(X0) * X0 ) > set(X0) ) ).

tff(func_def_2641,type,
    iG1312: 
      !>[X0: $tType] : ( ( nat * nat * fun(nat,X0) ) > X0 ) ).

tff(func_def_2642,type,
    iG1313: 
      !>[X0: $tType] : ( ( nat * nat * fun(nat,X0) * fun(nat,X0) ) > X0 ) ).

tff(func_def_2643,type,
    iG1314: 
      !>[X0: $tType] : ( ( nat * nat * fun(nat,X0) ) > X0 ) ).

tff(func_def_2644,type,
    iG1315: 
      !>[X0: $tType] : ( ( nat * nat * fun(nat,X0) * fun(nat,X0) ) > X0 ) ).

tff(func_def_2645,type,
    iG1316: 
      !>[X0: $tType,X1: $tType] : ( ( X1 * X1 * fun(X1,X0) * fun(X1,X0) ) > X0 ) ).

tff(func_def_2646,type,
    iG1317: 
      !>[X0: $tType] : ( ( nat * nat * fun(nat,X0) * fun(nat,X0) ) > X0 ) ).

tff(func_def_2647,type,
    iG1318: 
      !>[X0: $tType] : ( ( nat * nat * fun(nat,X0) * fun(nat,X0) ) > X0 ) ).

tff(func_def_2648,type,
    iG1319: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * X1 * fun(X1,X0) * fun(X1,X0) ) > X0 ) ).

tff(func_def_2649,type,
    iG1320: 
      !>[X0: $tType] : ( ( set(nat) * nat * fun(nat,X0) * fun(nat,X0) ) > X0 ) ).

tff(func_def_2650,type,
    iG1321: 
      !>[X0: $tType,X1: $tType] : ( ( X1 * X1 * fun(X1,X0) * fun(X1,X0) ) > X0 ) ).

tff(func_def_2651,type,
    iG1322: 
      !>[X0: $tType,X1: $tType] : ( ( X1 * X1 * fun(X1,X0) * fun(X1,X0) ) > X0 ) ).

tff(func_def_2652,type,
    iG1323: 
      !>[X0: $tType,X1: $tType] : ( ( X1 * X1 * X0 * fun(X1,X0) ) > X0 ) ).

tff(func_def_2653,type,
    iG1324: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * X1 * X0 * X0 ) > X0 ) ).

tff(func_def_2654,type,
    iG1325: 
      !>[X0: $tType] : ( ( X0 * fun(X0,$o) * list(X0) * list(X0) ) > product_prod(list(X0),list(X0)) ) ).

tff(func_def_2655,type,
    iG1326: 
      !>[X0: $tType,X1: $tType] : ( ( X1 * fun(X1,$o) * fun(X1,X0) * fun(X1,X0) ) > X0 ) ).

tff(func_def_2656,type,
    iG1327: 
      !>[X0: $tType,X1: $tType] : ( ( X1 * fun(X1,$o) * fun(X1,X0) * fun(X1,X0) ) > X0 ) ).

tff(func_def_2657,type,
    iG1328: 
      !>[X0: $tType,X1: $tType] : ( ( X1 * fun(X1,$o) * fun(X1,X0) * fun(X1,X0) ) > X0 ) ).

tff(func_def_2658,type,
    iG1329: 
      !>[X0: $tType] : ( ( nat * nat ) > X0 ) ).

tff(func_def_2659,type,
    iG1330: 
      !>[X0: $tType] : ( ( nat * nat * X0 ) > X0 ) ).

tff(func_def_2660,type,
    iG1331: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * X1 * fun(X1,X0) ) > X0 ) ).

tff(func_def_2661,type,
    iG1332: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( X2 * X2 * set(product_prod(X1,X0)) * X0 * X1 ) > set(product_prod(X1,X0)) ) ).

tff(func_def_2662,type,
    iG1333: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( X2 * X2 * set(product_prod(X1,X0)) * X0 * X1 ) > set(product_prod(X1,X0)) ) ).

tff(func_def_2663,type,
    bG1335: $o > $o ).

tff(func_def_2664,type,
    bG1336: $o > $o ).

tff(func_def_2665,type,
    bG1337: $o > $o ).

tff(func_def_2666,type,
    bG1338: $o > $o ).

tff(func_def_2667,type,
    sK1614: ( nat * nat * list(vEBT_VEBT) * nat * nat ) > nat ).

tff(func_def_2668,type,
    sK1615: list(vEBT_VEBT) > vEBT_VEBT ).

tff(func_def_2669,type,
    sK1616: list(vEBT_VEBT) > nat ).

tff(func_def_2670,type,
    sK1617: set(a) > set(a) ).

tff(func_def_2671,type,
    sK1618: 
      !>[X0: $tType] : ( ( fun(X0,$o) * list(X0) ) > X0 ) ).

tff(func_def_2672,type,
    sK1619: 
      !>[X0: $tType] : ( ( fun(X0,$o) * list(X0) ) > X0 ) ).

tff(func_def_2673,type,
    sK1620: 
      !>[X0: $tType] : ( ( list(list(X0)) * list(X0) * list(X0) ) > list(list(X0)) ) ).

tff(func_def_2674,type,
    sK1621: 
      !>[X0: $tType] : ( ( list(list(X0)) * list(X0) * list(X0) ) > list(X0) ) ).

tff(func_def_2675,type,
    sK1622: 
      !>[X0: $tType] : ( ( list(list(X0)) * list(X0) * list(X0) ) > list(X0) ) ).

tff(func_def_2676,type,
    sK1623: 
      !>[X0: $tType] : ( ( list(list(X0)) * list(X0) * list(X0) ) > list(list(X0)) ) ).

tff(func_def_2677,type,
    sK1624: vEBT_VEBT > nat ).

tff(func_def_2678,type,
    sK1625: list(vEBT_VEBT) > vEBT_VEBT ).

tff(func_def_2679,type,
    sK1626: list(vEBT_VEBT) > nat ).

tff(func_def_2680,type,
    sK1627: vEBT_VEBT > nat ).

tff(func_def_2681,type,
    sK1628: list(vEBT_VEBT) > vEBT_VEBT ).

tff(func_def_2682,type,
    sK1629: list(vEBT_VEBT) > nat ).

tff(func_def_2683,type,
    sK1630: vEBT_VEBT > nat ).

tff(func_def_2684,type,
    sK1631: list(vEBT_VEBT) > vEBT_VEBT ).

tff(func_def_2685,type,
    sK1632: list(vEBT_VEBT) > nat ).

tff(func_def_2686,type,
    sK1633: vEBT_VEBT > nat ).

tff(func_def_2687,type,
    sK1634: list(vEBT_VEBT) > vEBT_VEBT ).

tff(func_def_2688,type,
    sK1635: list(vEBT_VEBT) > nat ).

tff(func_def_2689,type,
    sK1636: vEBT_VEBT > nat ).

tff(func_def_2690,type,
    sK1637: list(vEBT_VEBT) > vEBT_VEBT ).

tff(func_def_2691,type,
    sK1638: list(vEBT_VEBT) > nat ).

tff(func_def_2692,type,
    sK1639: vEBT_VEBT > nat ).

tff(func_def_2693,type,
    sK1640: list(vEBT_VEBT) > vEBT_VEBT ).

tff(func_def_2694,type,
    sK1641: list(vEBT_VEBT) > nat ).

tff(func_def_2695,type,
    sK1642: vEBT_VEBT > nat ).

tff(func_def_2696,type,
    sK1643: list(vEBT_VEBT) > vEBT_VEBT ).

tff(func_def_2697,type,
    sK1644: list(vEBT_VEBT) > nat ).

tff(func_def_2698,type,
    sK1645: 
      !>[X0: $tType] : ( ( X0 * X0 * set(X0) * set(X0) ) > set(X0) ) ).

tff(func_def_2699,type,
    sK1646: nat ).

tff(func_def_2700,type,
    sK1647: vEBT_VEBT > nat ).

tff(func_def_2701,type,
    sK1648: ( set(nat) * nat ) > nat ).

tff(func_def_2702,type,
    sK1649: ( set(nat) * nat ) > nat ).

tff(func_def_2703,type,
    sK1650: 
      !>[X0: $tType] : ( ( list(X0) * fun(X0,$o) ) > X0 ) ).

tff(func_def_2704,type,
    sK1651: 
      !>[X0: $tType] : ( ( fun(X0,$o) * fun(X0,$o) ) > X0 ) ).

tff(func_def_2705,type,
    sK1652: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * fun(X1,X0) ) > X1 ) ).

tff(func_def_2706,type,
    sK1653: fun(nat,$o) > nat ).

tff(func_def_2707,type,
    sK1654: ( fun(nat,$o) * nat ) > nat ).

tff(func_def_2708,type,
    sK1655: fun(nat,nat) > nat ).

tff(func_def_2709,type,
    sK1656: fun(nat,nat) > nat ).

tff(func_def_2710,type,
    sK1657: ( fun(nat,$o) * nat ) > nat ).

tff(func_def_2711,type,
    sK1658: 
      !>[X0: $tType] : ( ( list(X0) * fun(X0,$o) ) > nat ) ).

tff(func_def_2712,type,
    sK1659: 
      !>[X0: $tType] : ( ( list(X0) * fun(X0,$o) ) > X0 ) ).

tff(func_def_2713,type,
    sK1660: 
      !>[X0: $tType] : ( ( list(X0) * fun(X0,$o) ) > nat ) ).

tff(func_def_2714,type,
    sK1661: 
      !>[X0: $tType] : ( ( X0 * list(X0) ) > nat ) ).

tff(func_def_2715,type,
    sK1662: 
      !>[X0: $tType] : ( ( list(X0) * fun(X0,$o) ) > X0 ) ).

tff(func_def_2716,type,
    sK1663: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * fun(X1,$o) ) > X1 ) ).

tff(func_def_2717,type,
    sK1664: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * fun(X1,$o) ) > X1 ) ).

tff(func_def_2718,type,
    sK1665: 
      !>[X0: $tType] : ( ( fun(X0,$o) * fun(X0,nat) ) > X0 ) ).

tff(func_def_2719,type,
    sK1666: fun(nat,$o) > nat ).

tff(func_def_2720,type,
    sK1667: fun(nat,$o) > nat ).

tff(func_def_2721,type,
    sK1668: 
      !>[X0: $tType] : ( nat > list(X0) ) ).

tff(func_def_2722,type,
    sK1669: 
      !>[X0: $tType] : ( ( fun(X0,nat) * fun(X0,$o) ) > X0 ) ).

tff(func_def_2723,type,
    sK1670: 
      !>[X0: $tType] : ( ( fun(X0,nat) * fun(X0,$o) ) > X0 ) ).

tff(func_def_2724,type,
    sK1671: fun(nat,$o) > nat ).

tff(func_def_2725,type,
    sK1672: 
      !>[X0: $tType] : ( fun(list(X0),$o) > list(X0) ) ).

tff(func_def_2726,type,
    sK1673: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) ) > nat ) ).

tff(func_def_2727,type,
    sK1674: 
      !>[X0: $tType] : ( ( fun(nat,fun(X0,$o)) * nat ) > X0 ) ).

tff(func_def_2728,type,
    sK1675: 
      !>[X0: $tType] : ( ( nat * fun(nat,fun(X0,$o)) * list(X0) ) > nat ) ).

tff(func_def_2729,type,
    sK1676: 
      !>[X0: $tType] : ( ( nat * fun(nat,fun(X0,$o)) ) > list(X0) ) ).

tff(func_def_2730,type,
    sK1677: 
      !>[X0: $tType] : ( ( nat * fun(nat,fun(X0,$o)) ) > nat ) ).

tff(func_def_2731,type,
    sK1678: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) ) > nat ) ).

tff(func_def_2732,type,
    sK1679: nat ).

tff(func_def_2733,type,
    sK1680: ( set(nat) * nat ) > nat ).

tff(func_def_2734,type,
    sK1681: ( set(nat) * nat ) > nat ).

tff(func_def_2735,type,
    sK1682: ( nat * set(nat) ) > nat ).

tff(func_def_2736,type,
    sK1683: ( nat * set(nat) ) > nat ).

tff(func_def_2737,type,
    sK1684: ( vEBT_VEBT * nat * nat ) > nat ).

tff(func_def_2738,type,
    sK1685: ( vEBT_VEBT * nat * nat ) > nat ).

tff(func_def_2739,type,
    sK1686: 
      !>[X0: $tType] : ( set(X0) > list(X0) ) ).

tff(func_def_2740,type,
    sK1687: 
      !>[X0: $tType] : ( ( list(X0) * set(X0) ) > X0 ) ).

tff(func_def_2741,type,
    sK1688: 
      !>[X0: $tType] : ( fun(X0,fun(X0,$o)) > X0 ) ).

tff(func_def_2742,type,
    sK1689: 
      !>[X0: $tType] : ( fun(X0,fun(X0,$o)) > X0 ) ).

tff(func_def_2743,type,
    sK1690: 
      !>[X0: $tType] : ( fun(X0,fun(X0,$o)) > X0 ) ).

tff(func_def_2744,type,
    sK1691: 
      !>[X0: $tType] : ( fun(X0,fun(X0,$o)) > X0 ) ).

tff(func_def_2745,type,
    sK1692: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * fun(X1,X0) ) > X1 ) ).

tff(func_def_2746,type,
    sK1693: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * fun(X1,X0) ) > X1 ) ).

tff(func_def_2747,type,
    sK1694: 
      !>[X0: $tType,X1: $tType] : ( fun(X1,X0) > X1 ) ).

tff(func_def_2748,type,
    sK1695: 
      !>[X0: $tType,X1: $tType] : ( fun(X1,X0) > X1 ) ).

tff(func_def_2749,type,
    sK1696: 
      !>[X0: $tType,X1: $tType] : ( fun(X0,X1) > X0 ) ).

tff(func_def_2750,type,
    sK1697: 
      !>[X0: $tType,X1: $tType] : ( fun(X0,X1) > X0 ) ).

tff(func_def_2751,type,
    sK1698: 
      !>[X0: $tType,X1: $tType] : ( fun(X1,X0) > X1 ) ).

tff(func_def_2752,type,
    sK1699: 
      !>[X0: $tType,X1: $tType] : ( fun(X1,X0) > X1 ) ).

tff(func_def_2753,type,
    sK1700: 
      !>[X0: $tType,X1: $tType] : ( fun(X0,X1) > X0 ) ).

tff(func_def_2754,type,
    sK1701: 
      !>[X0: $tType,X1: $tType] : ( fun(X0,X1) > X0 ) ).

tff(func_def_2755,type,
    sK1702: 
      !>[X0: $tType] : ( X0 > X0 ) ).

tff(func_def_2756,type,
    sK1703: 
      !>[X0: $tType] : ( X0 > X0 ) ).

tff(func_def_2757,type,
    sK1704: 
      !>[X0: $tType] : ( ( X0 * X0 ) > X0 ) ).

tff(func_def_2758,type,
    sK1705: 
      !>[X0: $tType] : ( fun(X0,$o) > X0 ) ).

tff(func_def_2759,type,
    sK1706: 
      !>[X0: $tType] : ( fun(X0,$o) > X0 ) ).

tff(func_def_2760,type,
    sK1707: 
      !>[X0: $tType] : ( ( fun(X0,$o) * X0 ) > X0 ) ).

tff(func_def_2761,type,
    sK1708: 
      !>[X0: $tType] : ( fun(X0,$o) > X0 ) ).

tff(func_def_2762,type,
    sK1709: 
      !>[X0: $tType] : ( fun(X0,fun(X0,$o)) > X0 ) ).

tff(func_def_2763,type,
    sK1710: 
      !>[X0: $tType] : ( fun(X0,fun(X0,$o)) > X0 ) ).

tff(func_def_2764,type,
    sK1711: 
      !>[X0: $tType] : ( fun(X0,fun(X0,$o)) > X0 ) ).

tff(func_def_2765,type,
    sK1712: 
      !>[X0: $tType] : ( fun(X0,fun(X0,$o)) > X0 ) ).

tff(func_def_2766,type,
    sK1713: 
      !>[X0: $tType] : ( fun(X0,fun(X0,$o)) > X0 ) ).

tff(func_def_2767,type,
    sK1714: 
      !>[X0: $tType,X1: $tType] : ( fun(X1,X0) > X1 ) ).

tff(func_def_2768,type,
    sK1715: 
      !>[X0: $tType,X1: $tType] : ( fun(X1,X0) > X1 ) ).

tff(func_def_2769,type,
    sK1716: 
      !>[X0: $tType,X1: $tType] : ( fun(X0,X1) > X0 ) ).

tff(func_def_2770,type,
    sK1717: 
      !>[X0: $tType,X1: $tType] : ( fun(X0,X1) > X0 ) ).

tff(func_def_2771,type,
    sK1718: 
      !>[X0: $tType,X1: $tType] : ( fun(X1,X0) > X1 ) ).

tff(func_def_2772,type,
    sK1719: 
      !>[X0: $tType,X1: $tType] : ( fun(X1,X0) > X1 ) ).

tff(func_def_2773,type,
    sK1720: 
      !>[X0: $tType,X1: $tType] : ( fun(X0,X1) > X0 ) ).

tff(func_def_2774,type,
    sK1721: 
      !>[X0: $tType,X1: $tType] : ( fun(X0,X1) > X0 ) ).

tff(func_def_2775,type,
    sK1722: 
      !>[X0: $tType] : ( ( X0 * X0 ) > X0 ) ).

tff(func_def_2776,type,
    sK1723: 
      !>[X0: $tType] : ( ( X0 * X0 ) > X0 ) ).

tff(func_def_2777,type,
    sK1724: 
      !>[X0: $tType] : ( ( X0 * X0 * X0 ) > X0 ) ).

tff(func_def_2778,type,
    sK1725: 
      !>[X0: $tType] : ( ( X0 * X0 * X0 ) > X0 ) ).

tff(func_def_2779,type,
    sK1726: 
      !>[X0: $tType,X1: $tType] : ( fun(X1,X0) > X1 ) ).

tff(func_def_2780,type,
    sK1727: 
      !>[X0: $tType,X1: $tType] : ( fun(X1,X0) > X1 ) ).

tff(func_def_2781,type,
    sK1728: 
      !>[X0: $tType,X1: $tType] : ( fun(X0,X1) > X0 ) ).

tff(func_def_2782,type,
    sK1729: 
      !>[X0: $tType,X1: $tType] : ( fun(X0,X1) > X0 ) ).

tff(func_def_2783,type,
    sK1730: 
      !>[X0: $tType,X1: $tType] : ( fun(X1,X0) > X1 ) ).

tff(func_def_2784,type,
    sK1731: 
      !>[X0: $tType,X1: $tType] : ( fun(X1,X0) > X1 ) ).

tff(func_def_2785,type,
    sK1732: 
      !>[X0: $tType,X1: $tType] : ( fun(X0,X1) > X0 ) ).

tff(func_def_2786,type,
    sK1733: 
      !>[X0: $tType,X1: $tType] : ( fun(X0,X1) > X0 ) ).

tff(func_def_2787,type,
    sK1734: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_2788,type,
    sK1735: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_2789,type,
    sK1736: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_2790,type,
    sK1737: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_2791,type,
    sK1738: 
      !>[X0: $tType] : ( option(X0) > X0 ) ).

tff(func_def_2792,type,
    sK1739: 
      !>[X0: $tType] : ( option(X0) > X0 ) ).

tff(func_def_2793,type,
    sK1740: 
      !>[X0: $tType,X1: $tType] : ( ( option(X0) * option(X1) * fun(option(X1),fun(option(X0),$o)) ) > X1 ) ).

tff(func_def_2794,type,
    sK1741: 
      !>[X0: $tType,X1: $tType] : ( ( option(X0) * option(X1) * fun(option(X1),fun(option(X0),$o)) ) > X0 ) ).

tff(func_def_2795,type,
    sK1742: 
      !>[X0: $tType] : ( fun(option(X0),$o) > X0 ) ).

tff(func_def_2796,type,
    sK1743: 
      !>[X0: $tType] : ( fun(option(X0),$o) > option(X0) ) ).

tff(func_def_2797,type,
    sK1744: 
      !>[X0: $tType] : ( fun(option(X0),$o) > option(X0) ) ).

tff(func_def_2798,type,
    sK1745: 
      !>[X0: $tType] : ( fun(option(X0),$o) > X0 ) ).

tff(func_def_2799,type,
    sK1746: 
      !>[X0: $tType] : ( option(X0) > X0 ) ).

tff(func_def_2800,type,
    sK1747: 
      !>[X0: $tType] : ( set(list(X0)) > nat ) ).

tff(func_def_2801,type,
    sK1748: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,fun(X0,$o)) ) > fun(X1,X0) ) ).

tff(func_def_2802,type,
    sK1749: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,fun(X0,$o)) ) > X1 ) ).

tff(func_def_2803,type,
    sK1750: 
      !>[X0: $tType] : ( fun(set(X0),$o) > set(X0) ) ).

tff(func_def_2804,type,
    sK1751: 
      !>[X0: $tType] : ( ( fun(X0,$o) * fun(X0,nat) ) > X0 ) ).

tff(func_def_2805,type,
    sK1752: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_2806,type,
    sK1753: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_2807,type,
    sK1754: 
      !>[X0: $tType] : ( ( fun(X0,$o) * fun(X0,nat) ) > X0 ) ).

tff(func_def_2808,type,
    sK1755: 
      !>[X0: $tType] : ( ( fun(X0,$o) * fun(X0,nat) * nat ) > X0 ) ).

tff(func_def_2809,type,
    sK1756: ( set(nat) * nat * nat ) > nat ).

tff(func_def_2810,type,
    sK1757: ( set(nat) * nat * nat ) > nat ).

tff(func_def_2811,type,
    sK1758: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_2812,type,
    sK1759: 
      !>[X0: $tType] : ( fun(X0,$o) > X0 ) ).

tff(func_def_2813,type,
    sK1760: 
      !>[X0: $tType] : ( fun(X0,$o) > X0 ) ).

tff(func_def_2814,type,
    sK1761: 
      !>[X0: $tType] : ( ( set(X0) * set(X0) ) > X0 ) ).

tff(func_def_2815,type,
    sK1762: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_2816,type,
    sK1763: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_2817,type,
    sK1764: 
      !>[X0: $tType] : ( ( set(X0) * set(X0) ) > X0 ) ).

tff(func_def_2818,type,
    sK1765: 
      !>[X0: $tType] : ( ( set(X0) * set(X0) ) > X0 ) ).

tff(func_def_2819,type,
    sK1766: 
      !>[X0: $tType] : ( ( fun(X0,$o) * fun(X0,$o) ) > X0 ) ).

tff(func_def_2820,type,
    sK1767: 
      !>[X0: $tType] : ( ( fun(X0,$o) * fun(X0,$o) ) > X0 ) ).

tff(func_def_2821,type,
    sK1768: set(nat) > nat ).

tff(func_def_2822,type,
    sK1769: ( set(nat) * nat ) > nat ).

tff(func_def_2823,type,
    sK1770: ( set(nat) * nat ) > nat ).

tff(func_def_2824,type,
    sK1771: set(nat) > nat ).

tff(func_def_2825,type,
    sK1772: ( nat * set(nat) ) > nat ).

tff(func_def_2826,type,
    sK1773: 
      !>[X0: $tType] : ( product_prod(fun(nat,fun(X0,X0)),product_prod(nat,product_prod(nat,X0))) > fun(nat,fun(X0,X0)) ) ).

tff(func_def_2827,type,
    sK1774: 
      !>[X0: $tType] : ( product_prod(fun(nat,fun(X0,X0)),product_prod(nat,product_prod(nat,X0))) > nat ) ).

tff(func_def_2828,type,
    sK1775: 
      !>[X0: $tType] : ( product_prod(fun(nat,fun(X0,X0)),product_prod(nat,product_prod(nat,X0))) > nat ) ).

tff(func_def_2829,type,
    sK1776: 
      !>[X0: $tType] : ( product_prod(fun(nat,fun(X0,X0)),product_prod(nat,product_prod(nat,X0))) > X0 ) ).

tff(func_def_2830,type,
    sK1777: 
      !>[X0: $tType] : ( product_prod(fun(X0,fun(X0,X0)),product_prod(option(X0),option(X0))) > fun(X0,fun(X0,X0)) ) ).

tff(func_def_2831,type,
    sK1778: 
      !>[X0: $tType] : ( product_prod(fun(X0,fun(X0,X0)),product_prod(option(X0),option(X0))) > X0 ) ).

tff(func_def_2832,type,
    sK1779: 
      !>[X0: $tType] : ( product_prod(fun(X0,fun(X0,X0)),product_prod(option(X0),option(X0))) > X0 ) ).

tff(func_def_2833,type,
    sK1780: 
      !>[X0: $tType] : ( product_prod(fun(X0,fun(X0,X0)),product_prod(option(X0),option(X0))) > fun(X0,fun(X0,X0)) ) ).

tff(func_def_2834,type,
    sK1781: 
      !>[X0: $tType] : ( product_prod(fun(X0,fun(X0,X0)),product_prod(option(X0),option(X0))) > X0 ) ).

tff(func_def_2835,type,
    sK1782: 
      !>[X0: $tType] : ( product_prod(fun(X0,fun(X0,X0)),product_prod(option(X0),option(X0))) > fun(X0,fun(X0,X0)) ) ).

tff(func_def_2836,type,
    sK1783: 
      !>[X0: $tType] : ( product_prod(fun(X0,fun(X0,X0)),product_prod(option(X0),option(X0))) > option(X0) ) ).

tff(func_def_2837,type,
    sK1784: 
      !>[X0: $tType] : ( product_prod(fun(X0,fun(X0,$o)),product_prod(option(X0),option(X0))) > fun(X0,fun(X0,$o)) ) ).

tff(func_def_2838,type,
    sK1785: 
      !>[X0: $tType] : ( product_prod(fun(X0,fun(X0,$o)),product_prod(option(X0),option(X0))) > X0 ) ).

tff(func_def_2839,type,
    sK1786: 
      !>[X0: $tType] : ( product_prod(fun(X0,fun(X0,$o)),product_prod(option(X0),option(X0))) > X0 ) ).

tff(func_def_2840,type,
    sK1787: 
      !>[X0: $tType] : ( product_prod(fun(X0,fun(X0,$o)),product_prod(option(X0),option(X0))) > fun(X0,fun(X0,$o)) ) ).

tff(func_def_2841,type,
    sK1788: 
      !>[X0: $tType] : ( product_prod(fun(X0,fun(X0,$o)),product_prod(option(X0),option(X0))) > X0 ) ).

tff(func_def_2842,type,
    sK1789: 
      !>[X0: $tType] : ( product_prod(fun(X0,fun(X0,$o)),product_prod(option(X0),option(X0))) > fun(X0,fun(X0,$o)) ) ).

tff(func_def_2843,type,
    sK1790: 
      !>[X0: $tType] : ( product_prod(fun(X0,fun(X0,$o)),product_prod(option(X0),option(X0))) > option(X0) ) ).

tff(func_def_2844,type,
    sK1791: 
      !>[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_2845,type,
    sK1792: 
      !>[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_2846,type,
    sK1793: 
      !>[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_2847,type,
    sK1794: 
      !>[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_2848,type,
    sK1795: 
      !>[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_2849,type,
    sK1796: 
      !>[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_2850,type,
    sK1797: 
      !>[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_2851,type,
    sK1798: 
      !>[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_2852,type,
    sK1799: 
      !>[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_2853,type,
    sK1800: 
      !>[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_2854,type,
    sK1801: 
      !>[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_2855,type,
    sK1802: 
      !>[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_2856,type,
    sK1803: 
      !>[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_2857,type,
    sK1804: 
      !>[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_2858,type,
    sK1805: 
      !>[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_2859,type,
    sK1806: 
      !>[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_2860,type,
    sK1807: 
      !>[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_2861,type,
    sK1808: 
      !>[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_2862,type,
    sK1809: 
      !>[X0: $tType,X1: $tType,X2: $tType,X3: $tType] : ( fun(product_prod(X3,product_prod(X2,product_prod(X1,X0))),$o) > X3 ) ).

tff(func_def_2863,type,
    sK1810: 
      !>[X0: $tType,X1: $tType,X2: $tType,X3: $tType] : ( fun(product_prod(X3,product_prod(X2,product_prod(X1,X0))),$o) > X2 ) ).

tff(func_def_2864,type,
    sK1811: 
      !>[X0: $tType,X1: $tType,X2: $tType,X3: $tType] : ( fun(product_prod(X3,product_prod(X2,product_prod(X1,X0))),$o) > X1 ) ).

tff(func_def_2865,type,
    sK1812: 
      !>[X0: $tType,X1: $tType,X2: $tType,X3: $tType] : ( fun(product_prod(X3,product_prod(X2,product_prod(X1,X0))),$o) > X0 ) ).

tff(func_def_2866,type,
    sK1813: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( fun(product_prod(X2,product_prod(X1,X0)),$o) > X2 ) ).

tff(func_def_2867,type,
    sK1814: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( fun(product_prod(X2,product_prod(X1,X0)),$o) > X1 ) ).

tff(func_def_2868,type,
    sK1815: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( fun(product_prod(X2,product_prod(X1,X0)),$o) > X0 ) ).

tff(func_def_2869,type,
    sK1816: 
      !>[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_2870,type,
    sK1817: 
      !>[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_2871,type,
    sK1818: 
      !>[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_2872,type,
    sK1819: 
      !>[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_2873,type,
    sK1820: 
      !>[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_2874,type,
    sK1821: 
      !>[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_2875,type,
    sK1822: 
      !>[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_2876,type,
    sK1823: 
      !>[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_2877,type,
    sK1824: 
      !>[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_2878,type,
    sK1825: 
      !>[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_2879,type,
    sK1826: 
      !>[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_2880,type,
    sK1827: 
      !>[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_2881,type,
    sK1828: 
      !>[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_2882,type,
    sK1829: 
      !>[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_2883,type,
    sK1830: 
      !>[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_2884,type,
    sK1831: 
      !>[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_2885,type,
    sK1832: 
      !>[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_2886,type,
    sK1833: 
      !>[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_2887,type,
    sK1834: 
      !>[X0: $tType,X1: $tType,X2: $tType,X3: $tType] : ( product_prod(X0,product_prod(X1,product_prod(X2,X3))) > X0 ) ).

tff(func_def_2888,type,
    sK1835: 
      !>[X0: $tType,X1: $tType,X2: $tType,X3: $tType] : ( product_prod(X0,product_prod(X1,product_prod(X2,X3))) > X1 ) ).

tff(func_def_2889,type,
    sK1836: 
      !>[X0: $tType,X1: $tType,X2: $tType,X3: $tType] : ( product_prod(X0,product_prod(X1,product_prod(X2,X3))) > X2 ) ).

tff(func_def_2890,type,
    sK1837: 
      !>[X0: $tType,X1: $tType,X2: $tType,X3: $tType] : ( product_prod(X0,product_prod(X1,product_prod(X2,X3))) > X3 ) ).

tff(func_def_2891,type,
    sK1838: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( product_prod(X0,product_prod(X1,X2)) > X0 ) ).

tff(func_def_2892,type,
    sK1839: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( product_prod(X0,product_prod(X1,X2)) > X1 ) ).

tff(func_def_2893,type,
    sK1840: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( product_prod(X0,product_prod(X1,X2)) > X2 ) ).

tff(func_def_2894,type,
    sK1841: 
      !>[X0: $tType,X1: $tType] : ( fun(product_prod(X1,X0),$o) > X1 ) ).

tff(func_def_2895,type,
    sK1842: 
      !>[X0: $tType,X1: $tType] : ( fun(product_prod(X1,X0),$o) > X0 ) ).

tff(func_def_2896,type,
    sK1843: 
      !>[X0: $tType,X1: $tType] : ( product_prod(X0,X1) > X0 ) ).

tff(func_def_2897,type,
    sK1844: 
      !>[X0: $tType,X1: $tType] : ( product_prod(X0,X1) > X1 ) ).

tff(func_def_2898,type,
    sK1845: 
      !>[X0: $tType,X1: $tType] : ( product_prod(X0,X1) > X0 ) ).

tff(func_def_2899,type,
    sK1846: 
      !>[X0: $tType,X1: $tType] : ( product_prod(X0,X1) > X1 ) ).

tff(func_def_2900,type,
    sK1847: fun(nat,$o) > nat ).

tff(func_def_2901,type,
    sK1848: ( fun(nat,$o) * nat ) > nat ).

tff(func_def_2902,type,
    sK1849: 
      !>[X0: $tType] : ( ( set(X0) * fun(X0,fun(X0,$o)) ) > X0 ) ).

tff(func_def_2903,type,
    sK1850: 
      !>[X0: $tType] : ( fun(X0,fun(X0,$o)) > X0 ) ).

tff(func_def_2904,type,
    sK1851: 
      !>[X0: $tType] : ( fun(X0,fun(X0,$o)) > X0 ) ).

tff(func_def_2905,type,
    sK1852: 
      !>[X0: $tType] : ( fun(X0,fun(X0,$o)) > X0 ) ).

tff(func_def_2906,type,
    sK1853: 
      !>[X0: $tType] : ( fun(X0,fun(X0,$o)) > X0 ) ).

tff(func_def_2907,type,
    sK1854: ( set(nat) * nat ) > nat ).

tff(func_def_2908,type,
    sK1855: set(nat) > nat ).

tff(func_def_2909,type,
    sK1856: set(nat) > nat ).

tff(func_def_2910,type,
    sK1857: ( set(nat) * nat ) > nat ).

tff(func_def_2911,type,
    sK1858: ( set(nat) * nat ) > nat ).

tff(func_def_2912,type,
    sK1859: ( nat * fun(nat,$o) ) > nat ).

tff(func_def_2913,type,
    sK1860: ( nat * fun(nat,$o) ) > nat ).

tff(func_def_2914,type,
    sK1861: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_2915,type,
    sK1862: 
      !>[X0: $tType] : ( ( X0 * X0 ) > X0 ) ).

tff(func_def_2916,type,
    sK1863: 
      !>[X0: $tType] : ( ( X0 * X0 * fun(X0,$o) ) > X0 ) ).

tff(func_def_2917,type,
    sK1864: 
      !>[X0: $tType] : ( ( X0 * fun(X0,$o) * X0 ) > X0 ) ).

tff(func_def_2918,type,
    sK1865: 
      !>[X0: $tType] : ( ( X0 * X0 ) > X0 ) ).

tff(func_def_2919,type,
    sK1866: 
      !>[X0: $tType] : ( ( X0 * X0 ) > X0 ) ).

tff(func_def_2920,type,
    sK1867: ( nat * nat ) > nat ).

tff(func_def_2921,type,
    sK1868: ( nat * nat ) > nat ).

tff(func_def_2922,type,
    sK1869: 
      !>[X0: $tType] : ( ( X0 * X0 ) > X0 ) ).

tff(func_def_2923,type,
    sK1870: ( nat * nat ) > nat ).

tff(func_def_2924,type,
    sK1871: fun(nat,nat) > nat ).

tff(func_def_2925,type,
    sK1872: fun(nat,nat) > nat ).

tff(func_def_2926,type,
    sK1873: 
      !>[X0: $tType] : ( ( fun(X0,$o) * X0 * fun(X0,nat) * nat ) > X0 ) ).

tff(func_def_2927,type,
    sK1874: 
      !>[X0: $tType] : ( ( fun(X0,$o) * fun(X0,nat) ) > X0 ) ).

tff(func_def_2928,type,
    sK1875: 
      !>[X0: $tType] : ( X0 > X0 ) ).

tff(func_def_2929,type,
    sK1876: 
      !>[X0: $tType,X1: $tType] : ( ( set(product_prod(X1,X0)) * set(product_prod(X1,X0)) ) > X1 ) ).

tff(func_def_2930,type,
    sK1877: 
      !>[X0: $tType,X1: $tType] : ( ( set(product_prod(X1,X0)) * set(product_prod(X1,X0)) ) > X0 ) ).

tff(func_def_2931,type,
    sK1878: 
      !>[X0: $tType] : ( ( X0 * X0 ) > X0 ) ).

tff(func_def_2932,type,
    sK1879: fun(nat,fun(nat,$o)) > nat ).

tff(func_def_2933,type,
    sK1880: fun(nat,fun(nat,$o)) > nat ).

tff(func_def_2934,type,
    sK1881: fun(nat,fun(nat,$o)) > nat ).

tff(func_def_2935,type,
    sK1882: fun(nat,fun(nat,$o)) > nat ).

tff(func_def_2936,type,
    sK1883: fun(nat,fun(nat,$o)) > nat ).

tff(func_def_2937,type,
    sK1884: 
      !>[X0: $tType] : ( X0 > X0 ) ).

tff(func_def_2938,type,
    sK1885: 
      !>[X0: $tType] : ( X0 > X0 ) ).

tff(func_def_2939,type,
    sK1886: 
      !>[X0: $tType] : ( X0 > X0 ) ).

tff(func_def_2940,type,
    sK1887: 
      !>[X0: $tType] : ( X0 > X0 ) ).

tff(func_def_2941,type,
    sK1888: 
      !>[X0: $tType] : ( X0 > X0 ) ).

tff(func_def_2942,type,
    sK1889: 
      !>[X0: $tType] : ( X0 > X0 ) ).

tff(func_def_2943,type,
    sK1890: 
      !>[X0: $tType] : ( ( fun(X0,$o) * fun(X0,$o) * fun(X0,$o) * fun(X0,$o) ) > X0 ) ).

tff(func_def_2944,type,
    sK1891: 
      !>[X0: $tType] : ( ( fun(X0,$o) * fun(X0,$o) * X0 ) > X0 ) ).

tff(func_def_2945,type,
    sK1892: 
      !>[X0: $tType] : ( ( fun(X0,$o) * fun(X0,$o) * X0 ) > X0 ) ).

tff(func_def_2946,type,
    sK1893: 
      !>[X0: $tType] : ( ( fun(X0,$o) * fun(X0,$o) * fun(X0,$o) * fun(X0,$o) ) > X0 ) ).

tff(func_def_2947,type,
    sK1894: 
      !>[X0: $tType] : ( ( fun(X0,$o) * fun(X0,$o) * X0 ) > X0 ) ).

tff(func_def_2948,type,
    sK1895: 
      !>[X0: $tType] : ( ( fun(X0,$o) * fun(X0,$o) * X0 ) > X0 ) ).

tff(func_def_2949,type,
    sK1896: 
      !>[X0: $tType] : ( X0 > X0 ) ).

tff(func_def_2950,type,
    sK1897: 
      !>[X0: $tType] : ( X0 > X0 ) ).

tff(func_def_2951,type,
    sK1898: 
      !>[X0: $tType] : ( X0 > X0 ) ).

tff(func_def_2952,type,
    sK1899: 
      !>[X0: $tType] : ( X0 > X0 ) ).

tff(func_def_2953,type,
    sK1900: 
      !>[X0: $tType,X1: $tType] : ( X1 > X0 ) ).

tff(func_def_2954,type,
    sK1901: 
      !>[X0: $tType] : ( ( fun(X0,$o) * fun(X0,$o) * fun(X0,$o) * fun(X0,$o) ) > X0 ) ).

tff(func_def_2955,type,
    sK1902: 
      !>[X0: $tType] : ( ( fun(X0,$o) * fun(X0,$o) * X0 ) > X0 ) ).

tff(func_def_2956,type,
    sK1903: 
      !>[X0: $tType] : ( ( fun(X0,$o) * fun(X0,$o) * X0 ) > X0 ) ).

tff(func_def_2957,type,
    sK1904: 
      !>[X0: $tType] : ( ( fun(X0,$o) * fun(X0,$o) * fun(X0,$o) * fun(X0,$o) ) > X0 ) ).

tff(func_def_2958,type,
    sK1905: 
      !>[X0: $tType] : ( ( fun(X0,$o) * fun(X0,$o) * X0 ) > X0 ) ).

tff(func_def_2959,type,
    sK1906: 
      !>[X0: $tType] : ( ( fun(X0,$o) * fun(X0,$o) * X0 ) > X0 ) ).

tff(func_def_2960,type,
    sK1907: 
      !>[X0: $tType] : ( X0 > X0 ) ).

tff(func_def_2961,type,
    sK1908: 
      !>[X0: $tType] : ( X0 > X0 ) ).

tff(func_def_2962,type,
    sK1909: 
      !>[X0: $tType] : ( X0 > X0 ) ).

tff(func_def_2963,type,
    sK1910: 
      !>[X0: $tType] : ( X0 > X0 ) ).

tff(func_def_2964,type,
    sK1911: 
      !>[X0: $tType,X1: $tType] : ( X1 > X0 ) ).

tff(func_def_2965,type,
    sK1912: ( vEBT_VEBT * nat ) > option(product_prod(nat,nat)) ).

tff(func_def_2966,type,
    sK1913: ( vEBT_VEBT * nat ) > list(vEBT_VEBT) ).

tff(func_def_2967,type,
    sK1914: ( vEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_2968,type,
    sK1915: 
      !>[X0: $tType] : ( ( fun(X0,$o) * list(X0) * nat ) > nat ) ).

tff(func_def_2969,type,
    sK1916: 
      !>[X0: $tType] : ( ( X0 * fun(X0,$o) * list(X0) ) > nat ) ).

tff(func_def_2970,type,
    sK1917: 
      !>[X0: $tType] : ( ( fun(X0,$o) * list(X0) * nat ) > nat ) ).

tff(func_def_2971,type,
    sK1918: 
      !>[X0: $tType] : ( ( fun(X0,$o) * list(X0) * X0 ) > nat ) ).

tff(func_def_2972,type,
    sK1919: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) * set(product_prod(X0,X0)) ) > X0 ) ).

tff(func_def_2973,type,
    sK1920: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) * set(product_prod(X0,X0)) ) > nat ) ).

tff(func_def_2974,type,
    sK1921: nat > nat ).

tff(func_def_2975,type,
    sK1922: nat > nat ).

tff(func_def_2976,type,
    sK1923: nat > nat ).

tff(func_def_2977,type,
    sK1924: nat > nat ).

tff(func_def_2978,type,
    sK1925: nat > nat ).

tff(func_def_2979,type,
    sK1926: fun(nat,$o) > nat ).

tff(func_def_2980,type,
    sK1927: fun(nat,fun(nat,$o)) > nat ).

tff(func_def_2981,type,
    sK1928: fun(nat,fun(nat,$o)) > nat ).

tff(func_def_2982,type,
    sK1929: fun(nat,fun(nat,$o)) > nat ).

tff(func_def_2983,type,
    sK1930: fun(nat,fun(nat,$o)) > nat ).

tff(func_def_2984,type,
    sK1931: fun(nat,$o) > nat ).

tff(func_def_2985,type,
    sK1932: nat > nat ).

tff(func_def_2986,type,
    sK1933: ( nat * nat ) > nat ).

tff(func_def_2987,type,
    sK1934: ( nat * nat ) > nat ).

tff(func_def_2988,type,
    sK1935: ( nat * fun(nat,$o) ) > nat ).

tff(func_def_2989,type,
    sK1936: ( nat * fun(nat,$o) ) > nat ).

tff(func_def_2990,type,
    sK1937: ( nat * fun(nat,$o) ) > nat ).

tff(func_def_2991,type,
    sK1938: ( nat * fun(nat,$o) ) > nat ).

tff(func_def_2992,type,
    sK1939: ( nat * nat ) > nat ).

tff(func_def_2993,type,
    sK1940: fun(nat,fun(nat,$o)) > nat ).

tff(func_def_2994,type,
    sK1941: fun(nat,fun(nat,$o)) > nat ).

tff(func_def_2995,type,
    sK1942: fun(nat,fun(nat,$o)) > nat ).

tff(func_def_2996,type,
    sK1943: fun(nat,fun(nat,$o)) > nat ).

tff(func_def_2997,type,
    sK1944: ( nat * fun(nat,$o) ) > nat ).

tff(func_def_2998,type,
    sK1945: ( nat * fun(nat,$o) ) > nat ).

tff(func_def_2999,type,
    sK1946: nat > nat ).

tff(func_def_3000,type,
    sK1947: fun(nat,$o) > nat ).

tff(func_def_3001,type,
    sK1948: ( nat * fun(nat,$o) ) > nat ).

tff(func_def_3002,type,
    sK1949: fun(nat,fun(nat,$o)) > nat ).

tff(func_def_3003,type,
    sK1950: fun(nat,fun(nat,$o)) > nat ).

tff(func_def_3004,type,
    sK1951: fun(nat,fun(nat,$o)) > nat ).

tff(func_def_3005,type,
    sK1952: fun(nat,fun(nat,$o)) > nat ).

tff(func_def_3006,type,
    sK1953: fun(nat,fun(nat,$o)) > nat ).

tff(func_def_3007,type,
    sK1954: list(vEBT_VEBT) > vEBT_VEBT ).

tff(func_def_3008,type,
    sK1955: list(vEBT_VEBT) > nat ).

tff(func_def_3009,type,
    sK1956: vEBT_VEBT > nat ).

tff(func_def_3010,type,
    sK1957: ( list(vEBT_VEBT) * nat ) > vEBT_VEBT ).

tff(func_def_3011,type,
    sK1958: list(vEBT_VEBT) > vEBT_VEBT ).

tff(func_def_3012,type,
    sK1959: list(vEBT_VEBT) > nat ).

tff(func_def_3013,type,
    sK1960: vEBT_VEBT > nat ).

tff(func_def_3014,type,
    sK1961: ( list(vEBT_VEBT) * nat ) > vEBT_VEBT ).

tff(func_def_3015,type,
    sK1962: 
      !>[X0: $tType] : ( ( list(X0) * fun(X0,$o) * fun(X0,$o) ) > X0 ) ).

tff(func_def_3016,type,
    sK1963: 
      !>[X0: $tType] : ( fun(nat,X0) > nat ) ).

tff(func_def_3017,type,
    sK1964: 
      !>[X0: $tType] : ( fun(nat,X0) > nat ) ).

tff(func_def_3018,type,
    sK1965: 
      !>[X0: $tType] : ( fun(nat,X0) > nat ) ).

tff(func_def_3019,type,
    sK1966: 
      !>[X0: $tType] : ( fun(nat,X0) > nat ) ).

tff(func_def_3020,type,
    sK1967: ( nat * fun(nat,$o) ) > nat ).

tff(func_def_3021,type,
    sK1968: ( nat * fun(nat,$o) ) > nat ).

tff(func_def_3022,type,
    sK1969: nat > nat ).

tff(func_def_3023,type,
    sK1970: ( nat * fun(nat,$o) ) > nat ).

tff(func_def_3024,type,
    sK1971: ( nat * fun(nat,$o) ) > nat ).

tff(func_def_3025,type,
    sK1972: nat > nat ).

tff(func_def_3026,type,
    sK1973: ( nat * nat ) > nat ).

tff(func_def_3027,type,
    sK1974: ( nat * nat * fun(nat,$o) ) > nat ).

tff(func_def_3028,type,
    sK1975: ( nat * nat * fun(nat,$o) ) > nat ).

tff(func_def_3029,type,
    sK1976: ( nat * nat ) > nat ).

tff(func_def_3030,type,
    sK1977: ( nat * nat ) > nat ).

tff(func_def_3031,type,
    sK1978: ( nat * nat ) > nat ).

tff(func_def_3032,type,
    sK1979: ( vEBT_VEBT * list(vEBT_VEBT) * nat ) > nat ).

tff(func_def_3033,type,
    sK1980: ( vEBT_VEBT * list(vEBT_VEBT) * nat ) > nat ).

tff(func_def_3034,type,
    sK1981: ( nat * nat * list(vEBT_VEBT) * nat * nat ) > nat ).

tff(func_def_3035,type,
    sK1982: ( nat * nat * list(vEBT_VEBT) * nat * nat ) > nat ).

tff(func_def_3036,type,
    sK1983: list(vEBT_VEBT) > vEBT_VEBT ).

tff(func_def_3037,type,
    sK1984: list(vEBT_VEBT) > nat ).

tff(func_def_3038,type,
    sK1985: ( list(vEBT_VEBT) * nat ) > vEBT_VEBT ).

tff(func_def_3039,type,
    sK1986: 
      !>[X0: $tType,X1: $tType] : ( ( list(X0) * list(X1) * X1 ) > X0 ) ).

tff(func_def_3040,type,
    sK1987: 
      !>[X0: $tType,X1: $tType] : ( ( list(X0) * list(X1) * X0 ) > X1 ) ).

tff(func_def_3041,type,
    sK1988: ( fun(nat,$o) * nat ) > nat ).

tff(func_def_3042,type,
    sK1989: 
      !>[X0: $tType] : ( ( fun(X0,$o) * list(X0) ) > X0 ) ).

tff(func_def_3043,type,
    sK1990: 
      !>[X0: $tType] : ( ( fun(X0,$o) * list(X0) ) > X0 ) ).

tff(func_def_3044,type,
    sK1991: ( vEBT_VEBT * list(vEBT_VEBT) * nat ) > nat ).

tff(func_def_3045,type,
    sK1992: ( vEBT_VEBT * list(vEBT_VEBT) * nat ) > nat ).

tff(func_def_3046,type,
    sK1993: ( nat * nat * list(vEBT_VEBT) * nat * nat ) > nat ).

tff(func_def_3047,type,
    sK1994: ( nat * nat * list(vEBT_VEBT) * nat * nat ) > nat ).

tff(func_def_3048,type,
    sK1995: list(vEBT_VEBT) > vEBT_VEBT ).

tff(func_def_3049,type,
    sK1996: list(vEBT_VEBT) > nat ).

tff(func_def_3050,type,
    sK1997: ( list(vEBT_VEBT) * nat ) > vEBT_VEBT ).

tff(func_def_3051,type,
    sK1998: 
      !>[X0: $tType] : ( option(X0) > X0 ) ).

tff(func_def_3052,type,
    sK1999: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,X0)) * option(X0) * option(X0) * option(X0) ) > X0 ) ).

tff(func_def_3053,type,
    sK2000: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,X0)) * option(X0) * option(X0) * option(X0) ) > X0 ) ).

tff(func_def_3054,type,
    sK2001: ( list(vEBT_VEBT) * nat ) > vEBT_VEBT ).

tff(func_def_3055,type,
    sK2002: 
      !>[X0: $tType] : ( ( X0 * X0 ) > X0 ) ).

tff(func_def_3056,type,
    sK2003: fun(nat,$o) > nat ).

tff(func_def_3057,type,
    sK2004: fun(nat,$o) > nat ).

tff(func_def_3058,type,
    sK2005: fun(nat,$o) > nat ).

tff(func_def_3059,type,
    sK2006: ( nat * nat ) > nat ).

tff(func_def_3060,type,
    sK2007: ( nat * nat ) > nat ).

tff(func_def_3061,type,
    sK2008: ( fun(nat,$o) * nat * nat ) > nat ).

tff(func_def_3062,type,
    sK2009: ( fun(nat,$o) * nat * nat ) > nat ).

tff(func_def_3063,type,
    sK2010: ( fun(nat,$o) * nat * nat ) > nat ).

tff(func_def_3064,type,
    sK2011: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_3065,type,
    sK2012: fun(nat,$o) > nat ).

tff(func_def_3066,type,
    sK2013: ( list(vEBT_VEBT) * nat ) > vEBT_VEBT ).

tff(func_def_3067,type,
    sK2014: ( vEBT_VEBT * nat ) > list(vEBT_VEBT) ).

tff(func_def_3068,type,
    sK2015: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_3069,type,
    sK2016: ( vEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_3070,type,
    sK2017: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_3071,type,
    sK2018: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_3072,type,
    sK2019: ( list(vEBT_VEBT) * nat ) > vEBT_VEBT ).

tff(func_def_3073,type,
    sK2020: ( vEBT_VEBT * nat ) > list(vEBT_VEBT) ).

tff(func_def_3074,type,
    sK2021: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_3075,type,
    sK2022: ( vEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_3076,type,
    sK2023: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_3077,type,
    sK2024: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_3078,type,
    sK2025: ( list(vEBT_VEBT) * nat ) > vEBT_VEBT ).

tff(func_def_3079,type,
    sK2026: vEBT_VEBT > nat ).

tff(func_def_3080,type,
    sK2027: list(vEBT_VEBT) > vEBT_VEBT ).

tff(func_def_3081,type,
    sK2028: list(vEBT_VEBT) > nat ).

tff(func_def_3082,type,
    sK2029: ( vEBT_VEBT * nat ) > list(vEBT_VEBT) ).

tff(func_def_3083,type,
    sK2030: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_3084,type,
    sK2031: ( vEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_3085,type,
    sK2032: ( list(vEBT_VEBT) * nat ) > vEBT_VEBT ).

tff(func_def_3086,type,
    sK2033: vEBT_VEBT > nat ).

tff(func_def_3087,type,
    sK2034: list(vEBT_VEBT) > vEBT_VEBT ).

tff(func_def_3088,type,
    sK2035: list(vEBT_VEBT) > nat ).

tff(func_def_3089,type,
    sK2036: ( vEBT_VEBT * nat ) > list(vEBT_VEBT) ).

tff(func_def_3090,type,
    sK2037: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_3091,type,
    sK2038: ( vEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_3092,type,
    sK2039: ( vEBT_VEBT * list(vEBT_VEBT) * nat ) > nat ).

tff(func_def_3093,type,
    sK2040: ( vEBT_VEBT * list(vEBT_VEBT) * nat ) > nat ).

tff(func_def_3094,type,
    sK2041: ( list(vEBT_VEBT) * nat ) > nat ).

tff(func_def_3095,type,
    sK2042: list(vEBT_VEBT) > vEBT_VEBT ).

tff(func_def_3096,type,
    sK2043: list(vEBT_VEBT) > nat ).

tff(func_def_3097,type,
    sK2044: ( nat * nat * list(vEBT_VEBT) * nat ) > nat ).

tff(func_def_3098,type,
    sK2045: ( nat * nat * list(vEBT_VEBT) * nat ) > nat ).

tff(func_def_3099,type,
    sK2046: ( vEBT_VEBT * list(vEBT_VEBT) * nat ) > nat ).

tff(func_def_3100,type,
    sK2047: ( vEBT_VEBT * list(vEBT_VEBT) * nat ) > nat ).

tff(func_def_3101,type,
    sK2048: ( list(vEBT_VEBT) * nat ) > nat ).

tff(func_def_3102,type,
    sK2049: list(vEBT_VEBT) > vEBT_VEBT ).

tff(func_def_3103,type,
    sK2050: list(vEBT_VEBT) > nat ).

tff(func_def_3104,type,
    sK2051: ( nat * nat * list(vEBT_VEBT) * nat ) > nat ).

tff(func_def_3105,type,
    sK2052: ( nat * nat * list(vEBT_VEBT) * nat ) > nat ).

tff(func_def_3106,type,
    sK2053: vEBT_VEBT > $o ).

tff(func_def_3107,type,
    sK2054: vEBT_VEBT > $o ).

tff(func_def_3108,type,
    sK2055: vEBT_VEBT > $o ).

tff(func_def_3109,type,
    sK2056: vEBT_VEBT > $o ).

tff(func_def_3110,type,
    sK2057: vEBT_VEBT > $o ).

tff(func_def_3111,type,
    sK2058: vEBT_VEBT > $o ).

tff(func_def_3112,type,
    sK2059: vEBT_VEBT > $o ).

tff(func_def_3113,type,
    sK2060: vEBT_VEBT > $o ).

tff(func_def_3114,type,
    sK2061: ( int * fun(int,$o) ) > int ).

tff(func_def_3115,type,
    sK2062: ( int * fun(int,$o) ) > int ).

tff(func_def_3116,type,
    sK2063: vEBT_VEBT > $o ).

tff(func_def_3117,type,
    sK2064: vEBT_VEBT > $o ).

tff(func_def_3118,type,
    sK2065: vEBT_VEBT > option(product_prod(nat,nat)) ).

tff(func_def_3119,type,
    sK2066: vEBT_VEBT > nat ).

tff(func_def_3120,type,
    sK2067: vEBT_VEBT > list(vEBT_VEBT) ).

tff(func_def_3121,type,
    sK2068: vEBT_VEBT > vEBT_VEBT ).

tff(func_def_3122,type,
    sK2069: product_prod(vEBT_VEBT,nat) > option(product_prod(nat,nat)) ).

tff(func_def_3123,type,
    sK2070: product_prod(vEBT_VEBT,nat) > nat ).

tff(func_def_3124,type,
    sK2071: product_prod(vEBT_VEBT,nat) > list(vEBT_VEBT) ).

tff(func_def_3125,type,
    sK2072: product_prod(vEBT_VEBT,nat) > vEBT_VEBT ).

tff(func_def_3126,type,
    sK2073: product_prod(vEBT_VEBT,nat) > nat ).

tff(func_def_3127,type,
    sK2074: product_prod(vEBT_VEBT,nat) > $o ).

tff(func_def_3128,type,
    sK2075: product_prod(vEBT_VEBT,nat) > $o ).

tff(func_def_3129,type,
    sK2076: product_prod(vEBT_VEBT,nat) > nat ).

tff(func_def_3130,type,
    sK2077: fun(nat,$o) > nat ).

tff(func_def_3131,type,
    sK2078: product_prod(vEBT_VEBT,nat) > option(product_prod(nat,nat)) ).

tff(func_def_3132,type,
    sK2079: product_prod(vEBT_VEBT,nat) > nat ).

tff(func_def_3133,type,
    sK2080: product_prod(vEBT_VEBT,nat) > list(vEBT_VEBT) ).

tff(func_def_3134,type,
    sK2081: product_prod(vEBT_VEBT,nat) > vEBT_VEBT ).

tff(func_def_3135,type,
    sK2082: product_prod(vEBT_VEBT,nat) > nat ).

tff(func_def_3136,type,
    sK2083: product_prod(vEBT_VEBT,nat) > option(product_prod(nat,nat)) ).

tff(func_def_3137,type,
    sK2084: product_prod(vEBT_VEBT,nat) > list(vEBT_VEBT) ).

tff(func_def_3138,type,
    sK2085: product_prod(vEBT_VEBT,nat) > vEBT_VEBT ).

tff(func_def_3139,type,
    sK2086: product_prod(vEBT_VEBT,nat) > nat ).

tff(func_def_3140,type,
    sK2087: product_prod(vEBT_VEBT,nat) > $o ).

tff(func_def_3141,type,
    sK2088: product_prod(vEBT_VEBT,nat) > $o ).

tff(func_def_3142,type,
    sK2089: product_prod(vEBT_VEBT,nat) > nat ).

tff(func_def_3143,type,
    sK2090: vEBT_VEBT > product_prod(nat,nat) ).

tff(func_def_3144,type,
    sK2091: vEBT_VEBT > nat ).

tff(func_def_3145,type,
    sK2092: vEBT_VEBT > list(vEBT_VEBT) ).

tff(func_def_3146,type,
    sK2093: vEBT_VEBT > vEBT_VEBT ).

tff(func_def_3147,type,
    sK2094: vEBT_VEBT > nat ).

tff(func_def_3148,type,
    sK2095: vEBT_VEBT > list(vEBT_VEBT) ).

tff(func_def_3149,type,
    sK2096: vEBT_VEBT > vEBT_VEBT ).

tff(func_def_3150,type,
    sK2097: vEBT_VEBT > $o ).

tff(func_def_3151,type,
    sK2098: vEBT_VEBT > $o ).

tff(func_def_3152,type,
    sK2099: ( fun(nat,$o) * nat * nat ) > nat ).

tff(func_def_3153,type,
    sK2100: ( fun(nat,$o) * nat * nat ) > nat ).

tff(func_def_3154,type,
    sK2101: vEBT_VEBT > product_prod(nat,nat) ).

tff(func_def_3155,type,
    sK2102: vEBT_VEBT > nat ).

tff(func_def_3156,type,
    sK2103: vEBT_VEBT > list(vEBT_VEBT) ).

tff(func_def_3157,type,
    sK2104: vEBT_VEBT > vEBT_VEBT ).

tff(func_def_3158,type,
    sK2105: vEBT_VEBT > $o ).

tff(func_def_3159,type,
    sK2106: vEBT_VEBT > $o ).

tff(func_def_3160,type,
    sK2107: vEBT_VEBT > nat ).

tff(func_def_3161,type,
    sK2108: vEBT_VEBT > list(vEBT_VEBT) ).

tff(func_def_3162,type,
    sK2109: vEBT_VEBT > vEBT_VEBT ).

tff(func_def_3163,type,
    sK2110: ( real * nat ) > real ).

tff(func_def_3164,type,
    sK2111: vEBT_VEBT > nat ).

tff(func_def_3165,type,
    sK2112: vEBT_VEBT > nat ).

tff(func_def_3166,type,
    sK2113: vEBT_VEBT > nat ).

tff(func_def_3167,type,
    sK2114: vEBT_VEBT > list(vEBT_VEBT) ).

tff(func_def_3168,type,
    sK2115: vEBT_VEBT > vEBT_VEBT ).

tff(func_def_3169,type,
    sK2116: vEBT_VEBT > nat ).

tff(func_def_3170,type,
    sK2117: vEBT_VEBT > list(vEBT_VEBT) ).

tff(func_def_3171,type,
    sK2118: vEBT_VEBT > vEBT_VEBT ).

tff(func_def_3172,type,
    sK2119: vEBT_VEBT > $o ).

tff(func_def_3173,type,
    sK2120: vEBT_VEBT > $o ).

tff(func_def_3174,type,
    sK2121: vEBT_VEBT > $o ).

tff(func_def_3175,type,
    sK2122: vEBT_VEBT > product_prod(nat,nat) ).

tff(func_def_3176,type,
    sK2123: vEBT_VEBT > nat ).

tff(func_def_3177,type,
    sK2124: vEBT_VEBT > list(vEBT_VEBT) ).

tff(func_def_3178,type,
    sK2125: vEBT_VEBT > vEBT_VEBT ).

tff(func_def_3179,type,
    sK2126: vEBT_VEBT > nat ).

tff(func_def_3180,type,
    sK2127: vEBT_VEBT > list(vEBT_VEBT) ).

tff(func_def_3181,type,
    sK2128: vEBT_VEBT > vEBT_VEBT ).

tff(func_def_3182,type,
    sK2129: vEBT_VEBT > $o ).

tff(func_def_3183,type,
    sK2130: product_prod(vEBT_VEBT,nat) > nat ).

tff(func_def_3184,type,
    sK2131: product_prod(vEBT_VEBT,nat) > nat ).

tff(func_def_3185,type,
    sK2132: product_prod(vEBT_VEBT,nat) > nat ).

tff(func_def_3186,type,
    sK2133: product_prod(vEBT_VEBT,nat) > list(vEBT_VEBT) ).

tff(func_def_3187,type,
    sK2134: product_prod(vEBT_VEBT,nat) > vEBT_VEBT ).

tff(func_def_3188,type,
    sK2135: product_prod(vEBT_VEBT,nat) > nat ).

tff(func_def_3189,type,
    sK2136: product_prod(vEBT_VEBT,nat) > nat ).

tff(func_def_3190,type,
    sK2137: product_prod(vEBT_VEBT,nat) > list(vEBT_VEBT) ).

tff(func_def_3191,type,
    sK2138: product_prod(vEBT_VEBT,nat) > vEBT_VEBT ).

tff(func_def_3192,type,
    sK2139: product_prod(vEBT_VEBT,nat) > nat ).

tff(func_def_3193,type,
    sK2140: product_prod(vEBT_VEBT,nat) > option(product_prod(nat,nat)) ).

tff(func_def_3194,type,
    sK2141: product_prod(vEBT_VEBT,nat) > list(vEBT_VEBT) ).

tff(func_def_3195,type,
    sK2142: product_prod(vEBT_VEBT,nat) > vEBT_VEBT ).

tff(func_def_3196,type,
    sK2143: product_prod(vEBT_VEBT,nat) > nat ).

tff(func_def_3197,type,
    sK2144: product_prod(vEBT_VEBT,nat) > option(product_prod(nat,nat)) ).

tff(func_def_3198,type,
    sK2145: product_prod(vEBT_VEBT,nat) > list(vEBT_VEBT) ).

tff(func_def_3199,type,
    sK2146: product_prod(vEBT_VEBT,nat) > vEBT_VEBT ).

tff(func_def_3200,type,
    sK2147: product_prod(vEBT_VEBT,nat) > nat ).

tff(func_def_3201,type,
    sK2148: product_prod(vEBT_VEBT,nat) > $o ).

tff(func_def_3202,type,
    sK2149: product_prod(vEBT_VEBT,nat) > $o ).

tff(func_def_3203,type,
    sK2150: product_prod(vEBT_VEBT,nat) > nat ).

tff(func_def_3204,type,
    sK2151: product_prod(vEBT_VEBT,nat) > nat ).

tff(func_def_3205,type,
    sK2152: product_prod(vEBT_VEBT,nat) > nat ).

tff(func_def_3206,type,
    sK2153: product_prod(vEBT_VEBT,nat) > nat ).

tff(func_def_3207,type,
    sK2154: product_prod(vEBT_VEBT,nat) > list(vEBT_VEBT) ).

tff(func_def_3208,type,
    sK2155: product_prod(vEBT_VEBT,nat) > vEBT_VEBT ).

tff(func_def_3209,type,
    sK2156: product_prod(vEBT_VEBT,nat) > nat ).

tff(func_def_3210,type,
    sK2157: product_prod(vEBT_VEBT,nat) > product_prod(nat,nat) ).

tff(func_def_3211,type,
    sK2158: product_prod(vEBT_VEBT,nat) > list(vEBT_VEBT) ).

tff(func_def_3212,type,
    sK2159: product_prod(vEBT_VEBT,nat) > vEBT_VEBT ).

tff(func_def_3213,type,
    sK2160: product_prod(vEBT_VEBT,nat) > nat ).

tff(func_def_3214,type,
    sK2161: product_prod(vEBT_VEBT,nat) > product_prod(nat,nat) ).

tff(func_def_3215,type,
    sK2162: product_prod(vEBT_VEBT,nat) > list(vEBT_VEBT) ).

tff(func_def_3216,type,
    sK2163: product_prod(vEBT_VEBT,nat) > vEBT_VEBT ).

tff(func_def_3217,type,
    sK2164: product_prod(vEBT_VEBT,nat) > nat ).

tff(func_def_3218,type,
    sK2165: product_prod(vEBT_VEBT,nat) > nat ).

tff(func_def_3219,type,
    sK2166: product_prod(vEBT_VEBT,nat) > list(vEBT_VEBT) ).

tff(func_def_3220,type,
    sK2167: product_prod(vEBT_VEBT,nat) > vEBT_VEBT ).

tff(func_def_3221,type,
    sK2168: product_prod(vEBT_VEBT,nat) > nat ).

tff(func_def_3222,type,
    sK2169: product_prod(vEBT_VEBT,nat) > $o ).

tff(func_def_3223,type,
    sK2170: product_prod(vEBT_VEBT,nat) > $o ).

tff(func_def_3224,type,
    sK2171: product_prod(vEBT_VEBT,nat) > nat ).

tff(func_def_3225,type,
    sK2172: product_prod(vEBT_VEBT,nat) > $o ).

tff(func_def_3226,type,
    sK2173: product_prod(vEBT_VEBT,nat) > $o ).

tff(func_def_3227,type,
    sK2174: product_prod(vEBT_VEBT,nat) > $o ).

tff(func_def_3228,type,
    sK2175: product_prod(vEBT_VEBT,nat) > $o ).

tff(func_def_3229,type,
    sK2176: product_prod(vEBT_VEBT,nat) > nat ).

tff(func_def_3230,type,
    sK2177: product_prod(vEBT_VEBT,nat) > nat ).

tff(func_def_3231,type,
    sK2178: product_prod(vEBT_VEBT,nat) > nat ).

tff(func_def_3232,type,
    sK2179: product_prod(vEBT_VEBT,nat) > list(vEBT_VEBT) ).

tff(func_def_3233,type,
    sK2180: product_prod(vEBT_VEBT,nat) > vEBT_VEBT ).

tff(func_def_3234,type,
    sK2181: product_prod(vEBT_VEBT,nat) > nat ).

tff(func_def_3235,type,
    sK2182: product_prod(vEBT_VEBT,nat) > product_prod(nat,nat) ).

tff(func_def_3236,type,
    sK2183: product_prod(vEBT_VEBT,nat) > list(vEBT_VEBT) ).

tff(func_def_3237,type,
    sK2184: product_prod(vEBT_VEBT,nat) > vEBT_VEBT ).

tff(func_def_3238,type,
    sK2185: product_prod(vEBT_VEBT,nat) > nat ).

tff(func_def_3239,type,
    sK2186: product_prod(vEBT_VEBT,nat) > product_prod(nat,nat) ).

tff(func_def_3240,type,
    sK2187: product_prod(vEBT_VEBT,nat) > list(vEBT_VEBT) ).

tff(func_def_3241,type,
    sK2188: product_prod(vEBT_VEBT,nat) > vEBT_VEBT ).

tff(func_def_3242,type,
    sK2189: product_prod(vEBT_VEBT,nat) > nat ).

tff(func_def_3243,type,
    sK2190: product_prod(vEBT_VEBT,nat) > nat ).

tff(func_def_3244,type,
    sK2191: product_prod(vEBT_VEBT,nat) > list(vEBT_VEBT) ).

tff(func_def_3245,type,
    sK2192: product_prod(vEBT_VEBT,nat) > vEBT_VEBT ).

tff(func_def_3246,type,
    sK2193: product_prod(vEBT_VEBT,nat) > nat ).

tff(func_def_3247,type,
    sK2194: product_prod(vEBT_VEBT,nat) > $o ).

tff(func_def_3248,type,
    sK2195: product_prod(vEBT_VEBT,nat) > $o ).

tff(func_def_3249,type,
    sK2196: product_prod(vEBT_VEBT,nat) > nat ).

tff(func_def_3250,type,
    sK2197: product_prod(vEBT_VEBT,nat) > $o ).

tff(func_def_3251,type,
    sK2198: product_prod(vEBT_VEBT,nat) > $o ).

tff(func_def_3252,type,
    sK2199: product_prod(vEBT_VEBT,nat) > nat ).

tff(func_def_3253,type,
    sK2200: product_prod(vEBT_VEBT,nat) > nat ).

tff(func_def_3254,type,
    sK2201: product_prod(vEBT_VEBT,nat) > nat ).

tff(func_def_3255,type,
    sK2202: product_prod(vEBT_VEBT,nat) > list(vEBT_VEBT) ).

tff(func_def_3256,type,
    sK2203: product_prod(vEBT_VEBT,nat) > vEBT_VEBT ).

tff(func_def_3257,type,
    sK2204: product_prod(vEBT_VEBT,nat) > nat ).

tff(func_def_3258,type,
    sK2205: product_prod(vEBT_VEBT,nat) > nat ).

tff(func_def_3259,type,
    sK2206: product_prod(vEBT_VEBT,nat) > nat ).

tff(func_def_3260,type,
    sK2207: product_prod(vEBT_VEBT,nat) > list(vEBT_VEBT) ).

tff(func_def_3261,type,
    sK2208: product_prod(vEBT_VEBT,nat) > vEBT_VEBT ).

tff(func_def_3262,type,
    sK2209: product_prod(vEBT_VEBT,nat) > nat ).

tff(func_def_3263,type,
    sK2210: product_prod(vEBT_VEBT,nat) > nat ).

tff(func_def_3264,type,
    sK2211: product_prod(vEBT_VEBT,nat) > nat ).

tff(func_def_3265,type,
    sK2212: product_prod(vEBT_VEBT,nat) > list(vEBT_VEBT) ).

tff(func_def_3266,type,
    sK2213: product_prod(vEBT_VEBT,nat) > vEBT_VEBT ).

tff(func_def_3267,type,
    sK2214: product_prod(vEBT_VEBT,nat) > nat ).

tff(func_def_3268,type,
    sK2215: product_prod(vEBT_VEBT,nat) > nat ).

tff(func_def_3269,type,
    sK2216: product_prod(vEBT_VEBT,nat) > list(vEBT_VEBT) ).

tff(func_def_3270,type,
    sK2217: product_prod(vEBT_VEBT,nat) > vEBT_VEBT ).

tff(func_def_3271,type,
    sK2218: product_prod(vEBT_VEBT,nat) > nat ).

tff(func_def_3272,type,
    sK2219: product_prod(vEBT_VEBT,nat) > $o ).

tff(func_def_3273,type,
    sK2220: product_prod(vEBT_VEBT,nat) > $o ).

tff(func_def_3274,type,
    sK2221: product_prod(vEBT_VEBT,nat) > nat ).

tff(func_def_3275,type,
    sK2222: product_prod(vEBT_VEBT,nat) > $o ).

tff(func_def_3276,type,
    sK2223: product_prod(vEBT_VEBT,nat) > $o ).

tff(func_def_3277,type,
    sK2224: product_prod(vEBT_VEBT,nat) > $o ).

tff(func_def_3278,type,
    sK2225: product_prod(vEBT_VEBT,nat) > $o ).

tff(func_def_3279,type,
    sK2226: product_prod(vEBT_VEBT,nat) > nat ).

tff(func_def_3280,type,
    sK2227: product_prod(vEBT_VEBT,nat) > nat ).

tff(func_def_3281,type,
    sK2228: product_prod(vEBT_VEBT,nat) > nat ).

tff(func_def_3282,type,
    sK2229: product_prod(vEBT_VEBT,nat) > list(vEBT_VEBT) ).

tff(func_def_3283,type,
    sK2230: product_prod(vEBT_VEBT,nat) > vEBT_VEBT ).

tff(func_def_3284,type,
    sK2231: product_prod(vEBT_VEBT,nat) > nat ).

tff(func_def_3285,type,
    sK2232: product_prod(vEBT_VEBT,nat) > product_prod(nat,nat) ).

tff(func_def_3286,type,
    sK2233: product_prod(vEBT_VEBT,nat) > list(vEBT_VEBT) ).

tff(func_def_3287,type,
    sK2234: product_prod(vEBT_VEBT,nat) > vEBT_VEBT ).

tff(func_def_3288,type,
    sK2235: product_prod(vEBT_VEBT,nat) > nat ).

tff(func_def_3289,type,
    sK2236: product_prod(vEBT_VEBT,nat) > product_prod(nat,nat) ).

tff(func_def_3290,type,
    sK2237: product_prod(vEBT_VEBT,nat) > list(vEBT_VEBT) ).

tff(func_def_3291,type,
    sK2238: product_prod(vEBT_VEBT,nat) > vEBT_VEBT ).

tff(func_def_3292,type,
    sK2239: product_prod(vEBT_VEBT,nat) > nat ).

tff(func_def_3293,type,
    sK2240: product_prod(vEBT_VEBT,nat) > nat ).

tff(func_def_3294,type,
    sK2241: product_prod(vEBT_VEBT,nat) > list(vEBT_VEBT) ).

tff(func_def_3295,type,
    sK2242: product_prod(vEBT_VEBT,nat) > vEBT_VEBT ).

tff(func_def_3296,type,
    sK2243: product_prod(vEBT_VEBT,nat) > nat ).

tff(func_def_3297,type,
    sK2244: product_prod(vEBT_VEBT,nat) > $o ).

tff(func_def_3298,type,
    sK2245: product_prod(vEBT_VEBT,nat) > $o ).

tff(func_def_3299,type,
    sK2246: product_prod(vEBT_VEBT,nat) > nat ).

tff(func_def_3300,type,
    sK2247: product_prod(vEBT_VEBT,nat) > nat ).

tff(func_def_3301,type,
    sK2248: product_prod(vEBT_VEBT,nat) > list(vEBT_VEBT) ).

tff(func_def_3302,type,
    sK2249: product_prod(vEBT_VEBT,nat) > vEBT_VEBT ).

tff(func_def_3303,type,
    sK2250: product_prod(vEBT_VEBT,nat) > nat ).

tff(func_def_3304,type,
    sK2251: product_prod(vEBT_VEBT,nat) > nat ).

tff(func_def_3305,type,
    sK2252: product_prod(vEBT_VEBT,nat) > nat ).

tff(func_def_3306,type,
    sK2253: product_prod(vEBT_VEBT,nat) > nat ).

tff(func_def_3307,type,
    sK2254: product_prod(vEBT_VEBT,nat) > list(vEBT_VEBT) ).

tff(func_def_3308,type,
    sK2255: product_prod(vEBT_VEBT,nat) > vEBT_VEBT ).

tff(func_def_3309,type,
    sK2256: product_prod(vEBT_VEBT,nat) > nat ).

tff(func_def_3310,type,
    sK2257: product_prod(vEBT_VEBT,nat) > nat ).

tff(func_def_3311,type,
    sK2258: product_prod(vEBT_VEBT,nat) > nat ).

tff(func_def_3312,type,
    sK2259: product_prod(vEBT_VEBT,nat) > list(vEBT_VEBT) ).

tff(func_def_3313,type,
    sK2260: product_prod(vEBT_VEBT,nat) > vEBT_VEBT ).

tff(func_def_3314,type,
    sK2261: product_prod(vEBT_VEBT,nat) > nat ).

tff(func_def_3315,type,
    sK2262: product_prod(vEBT_VEBT,nat) > list(vEBT_VEBT) ).

tff(func_def_3316,type,
    sK2263: product_prod(vEBT_VEBT,nat) > vEBT_VEBT ).

tff(func_def_3317,type,
    sK2264: product_prod(vEBT_VEBT,nat) > nat ).

tff(func_def_3318,type,
    sK2265: product_prod(vEBT_VEBT,nat) > $o ).

tff(func_def_3319,type,
    sK2266: product_prod(vEBT_VEBT,nat) > $o ).

tff(func_def_3320,type,
    sK2267: product_prod(vEBT_VEBT,nat) > nat ).

tff(func_def_3321,type,
    sK2268: ( nat * real ) > real ).

tff(func_def_3322,type,
    sK2269: ( nat * real ) > real ).

tff(func_def_3323,type,
    sK2270: ( vEBT_VEBT * option(nat) ) > nat ).

tff(func_def_3324,type,
    sK2271: ( vEBT_VEBT * option(nat) ) > nat ).

tff(func_def_3325,type,
    sK2272: ( vEBT_VEBT * option(nat) ) > nat ).

tff(func_def_3326,type,
    sK2273: ( vEBT_VEBT * option(nat) ) > list(vEBT_VEBT) ).

tff(func_def_3327,type,
    sK2274: ( vEBT_VEBT * option(nat) ) > vEBT_VEBT ).

tff(func_def_3328,type,
    sK2275: vEBT_VEBT > nat ).

tff(func_def_3329,type,
    sK2276: vEBT_VEBT > list(vEBT_VEBT) ).

tff(func_def_3330,type,
    sK2277: vEBT_VEBT > vEBT_VEBT ).

tff(func_def_3331,type,
    sK2278: ( vEBT_VEBT * option(nat) ) > $o ).

tff(func_def_3332,type,
    sK2279: ( vEBT_VEBT * option(nat) ) > $o ).

tff(func_def_3333,type,
    sK2280: ( vEBT_VEBT * option(nat) ) > nat ).

tff(func_def_3334,type,
    sK2281: ( vEBT_VEBT * option(nat) ) > nat ).

tff(func_def_3335,type,
    sK2282: ( vEBT_VEBT * option(nat) ) > nat ).

tff(func_def_3336,type,
    sK2283: ( vEBT_VEBT * option(nat) ) > list(vEBT_VEBT) ).

tff(func_def_3337,type,
    sK2284: ( vEBT_VEBT * option(nat) ) > vEBT_VEBT ).

tff(func_def_3338,type,
    sK2285: vEBT_VEBT > nat ).

tff(func_def_3339,type,
    sK2286: vEBT_VEBT > list(vEBT_VEBT) ).

tff(func_def_3340,type,
    sK2287: vEBT_VEBT > vEBT_VEBT ).

tff(func_def_3341,type,
    sK2288: ( vEBT_VEBT * option(nat) ) > $o ).

tff(func_def_3342,type,
    sK2289: ( vEBT_VEBT * option(nat) ) > $o ).

tff(func_def_3343,type,
    sK2290: ( nat * vEBT_VEBT ) > list(vEBT_VEBT) ).

tff(func_def_3344,type,
    sK2291: ( nat * vEBT_VEBT ) > nat ).

tff(func_def_3345,type,
    sK2292: ( nat * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_3346,type,
    sK2293: ( nat * vEBT_VEBT ) > nat ).

tff(func_def_3347,type,
    sK2294: ( nat * vEBT_VEBT ) > nat ).

tff(func_def_3348,type,
    sK2295: ( nat * vEBT_VEBT ) > nat ).

tff(func_def_3349,type,
    sK2296: ( nat * vEBT_VEBT ) > nat ).

tff(func_def_3350,type,
    sK2297: ( nat * vEBT_VEBT ) > list(vEBT_VEBT) ).

tff(func_def_3351,type,
    sK2298: ( nat * vEBT_VEBT ) > nat ).

tff(func_def_3352,type,
    sK2299: ( nat * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_3353,type,
    sK2300: ( nat * vEBT_VEBT ) > nat ).

tff(func_def_3354,type,
    sK2301: ( nat * vEBT_VEBT ) > nat ).

tff(func_def_3355,type,
    sK2302: ( nat * vEBT_VEBT ) > nat ).

tff(func_def_3356,type,
    sK2303: ( nat * vEBT_VEBT ) > nat ).

tff(func_def_3357,type,
    sK2304: ( nat * vEBT_VEBT ) > list(vEBT_VEBT) ).

tff(func_def_3358,type,
    sK2305: ( nat * vEBT_VEBT ) > nat ).

tff(func_def_3359,type,
    sK2306: ( nat * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_3360,type,
    sK2307: ( nat * vEBT_VEBT ) > nat ).

tff(func_def_3361,type,
    sK2308: ( nat * vEBT_VEBT ) > nat ).

tff(func_def_3362,type,
    sK2309: ( nat * vEBT_VEBT ) > list(vEBT_VEBT) ).

tff(func_def_3363,type,
    sK2310: ( nat * vEBT_VEBT ) > nat ).

tff(func_def_3364,type,
    sK2311: ( nat * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_3365,type,
    sK2312: ( nat * vEBT_VEBT ) > nat ).

tff(func_def_3366,type,
    sK2313: ( nat * vEBT_VEBT ) > nat ).

tff(func_def_3367,type,
    sK2314: ( list(vEBT_VEBT) * nat ) > nat ).

tff(func_def_3368,type,
    sK2315: ( list(vEBT_VEBT) * nat ) > nat ).

tff(func_def_3369,type,
    sK2316: vEBT_VEBT > $o ).

tff(func_def_3370,type,
    sK2317: vEBT_VEBT > $o ).

tff(func_def_3371,type,
    sK2318: ( real * real ) > nat ).

tff(func_def_3372,type,
    sK2319: ( real * real ) > nat ).

tff(func_def_3373,type,
    sK2320: ( int * fun(int,$o) ) > int ).

tff(func_def_3374,type,
    sK2321: 
      !>[X0: $tType] : ( ( set(X0) * set(X0) ) > X0 ) ).

tff(func_def_3375,type,
    sK2322: ( nat * fun(nat,$o) ) > nat ).

tff(func_def_3376,type,
    sK2323: ( nat * fun(nat,$o) ) > nat ).

tff(func_def_3377,type,
    sK2324: ( nat * fun(nat,$o) ) > nat ).

tff(func_def_3378,type,
    sK2325: ( nat * fun(nat,$o) ) > nat ).

tff(func_def_3379,type,
    sK2326: ( int * fun(int,$o) ) > int ).

tff(func_def_3380,type,
    sK2327: fun(int,$o) > int ).

tff(func_def_3381,type,
    sK2328: ( fun(int,$o) * fun(int,$o) * int ) > int ).

tff(func_def_3382,type,
    sK2329: ( int * fun(int,$o) ) > int ).

tff(func_def_3383,type,
    sK2330: ( int * fun(int,$o) ) > int ).

tff(func_def_3384,type,
    sK2331: fun(int,$o) > int ).

tff(func_def_3385,type,
    sK2332: ( fun(int,$o) * fun(int,$o) * int ) > int ).

tff(func_def_3386,type,
    sK2333: ( int * fun(int,$o) ) > int ).

tff(func_def_3387,type,
    sK2334: ( int * fun(int,$o) ) > int ).

tff(func_def_3388,type,
    sK2335: ( fun(int,$o) * int * int ) > int ).

tff(func_def_3389,type,
    sK2336: ( fun(int,$o) * int * int ) > int ).

tff(func_def_3390,type,
    sK2337: ( fun(int,$o) * int * int ) > int ).

tff(func_def_3391,type,
    sK2338: ( fun(int,$o) * int * int ) > int ).

tff(func_def_3392,type,
    sK2339: fun(extended_enat,$o) > extended_enat ).

tff(func_def_3393,type,
    sK2340: 
      !>[X0: $tType,X1: $tType] : ( ( set(product_prod(X1,X0)) * set(product_prod(X1,X0)) ) > X1 ) ).

tff(func_def_3394,type,
    sK2341: 
      !>[X0: $tType,X1: $tType] : ( ( set(product_prod(X1,X0)) * set(product_prod(X1,X0)) ) > X0 ) ).

tff(func_def_3395,type,
    sK2342: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * set(X1) * fun(X0,fun(X1,$o)) ) > X1 ) ).

tff(func_def_3396,type,
    sK2343: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * set(X1) * fun(X0,fun(X1,$o)) ) > X0 ) ).

tff(func_def_3397,type,
    sK2344: 
      !>[X0: $tType] : ( fun(X0,$o) > X0 ) ).

tff(func_def_3398,type,
    sK2345: fun(nat,nat) > nat ).

tff(func_def_3399,type,
    sK2346: fun(int,$o) > int ).

tff(func_def_3400,type,
    sK2347: ( int * fun(int,$o) ) > int ).

tff(func_def_3401,type,
    sK2348: ( int * fun(int,$o) ) > int ).

tff(func_def_3402,type,
    sK2349: ( int * fun(int,$o) ) > int ).

tff(func_def_3403,type,
    sK2350: ( int * set(int) * int ) > int ).

tff(func_def_3404,type,
    sK2351: ( int * set(int) * int ) > int ).

tff(func_def_3405,type,
    sK2352: ( int * set(int) * int ) > int ).

tff(func_def_3406,type,
    sK2353: ( int * set(int) * int ) > int ).

tff(func_def_3407,type,
    sK2354: ( int * set(int) * int ) > int ).

tff(func_def_3408,type,
    sK2355: ( int * set(int) * int ) > int ).

tff(func_def_3409,type,
    sK2356: ( int * set(int) * int ) > int ).

tff(func_def_3410,type,
    sK2357: ( int * set(int) * int ) > int ).

tff(func_def_3411,type,
    sK2358: ( int * set(int) * int ) > int ).

tff(func_def_3412,type,
    sK2359: ( int * set(int) * int ) > int ).

tff(func_def_3413,type,
    sK2360: ( int * set(int) * int ) > int ).

tff(func_def_3414,type,
    sK2361: ( int * set(int) * int ) > int ).

tff(func_def_3415,type,
    sK2362: ( int * set(int) * int ) > int ).

tff(func_def_3416,type,
    sK2363: ( int * set(int) * int ) > int ).

tff(func_def_3417,type,
    sK2364: ( int * set(int) * int ) > int ).

tff(func_def_3418,type,
    sK2365: ( int * set(int) * int ) > int ).

tff(func_def_3419,type,
    sK2366: ( int * set(int) * int ) > int ).

tff(func_def_3420,type,
    sK2367: ( int * set(int) * int ) > int ).

tff(func_def_3421,type,
    sK2368: ( int * set(int) * int ) > int ).

tff(func_def_3422,type,
    sK2369: ( int * set(int) * int ) > int ).

tff(func_def_3423,type,
    sK2370: ( int * set(int) * int ) > int ).

tff(func_def_3424,type,
    sK2371: ( int * set(int) * int ) > int ).

tff(func_def_3425,type,
    sK2372: ( int * set(int) * int ) > int ).

tff(func_def_3426,type,
    sK2373: ( int * set(int) * int ) > int ).

tff(func_def_3427,type,
    sK2374: fun(int,$o) > int ).

tff(func_def_3428,type,
    sK2375: ( int * fun(int,$o) ) > int ).

tff(func_def_3429,type,
    sK2376: ( int * set(int) * fun(int,$o) ) > int ).

tff(func_def_3430,type,
    sK2377: ( int * set(int) * fun(int,$o) ) > int ).

tff(func_def_3431,type,
    sK2378: ( int * fun(int,$o) ) > int ).

tff(func_def_3432,type,
    sK2379: ( int * fun(int,$o) ) > int ).

tff(func_def_3433,type,
    sK2380: ( int * fun(int,$o) * set(int) ) > int ).

tff(func_def_3434,type,
    sK2381: ( fun(int,$o) * fun(int,$o) * int ) > int ).

tff(func_def_3435,type,
    sK2382: fun(int,$o) > int ).

tff(func_def_3436,type,
    sK2383: ( int * fun(int,$o) ) > int ).

tff(func_def_3437,type,
    sK2384: ( int * set(int) * fun(int,$o) ) > int ).

tff(func_def_3438,type,
    sK2385: ( int * set(int) * fun(int,$o) ) > int ).

tff(func_def_3439,type,
    sK2386: ( int * fun(int,$o) ) > int ).

tff(func_def_3440,type,
    sK2387: ( int * fun(int,$o) ) > int ).

tff(func_def_3441,type,
    sK2388: ( int * fun(int,$o) * set(int) ) > int ).

tff(func_def_3442,type,
    sK2389: ( fun(int,$o) * fun(int,$o) * int ) > int ).

tff(func_def_3443,type,
    sK2390: ( vEBT_VEBT * nat ) > option(product_prod(nat,nat)) ).

tff(func_def_3444,type,
    sK2391: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_3445,type,
    sK2392: ( vEBT_VEBT * nat ) > list(vEBT_VEBT) ).

tff(func_def_3446,type,
    sK2393: ( vEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_3447,type,
    sK2394: vEBT_VEBT > option(product_prod(nat,nat)) ).

tff(func_def_3448,type,
    sK2395: vEBT_VEBT > list(vEBT_VEBT) ).

tff(func_def_3449,type,
    sK2396: vEBT_VEBT > vEBT_VEBT ).

tff(func_def_3450,type,
    sK2397: ( vEBT_VEBT * nat ) > $o ).

tff(func_def_3451,type,
    sK2398: ( vEBT_VEBT * nat ) > $o ).

tff(func_def_3452,type,
    sK2399: ( vEBT_VEBT * nat ) > option(product_prod(nat,nat)) ).

tff(func_def_3453,type,
    sK2400: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_3454,type,
    sK2401: ( vEBT_VEBT * nat ) > list(vEBT_VEBT) ).

tff(func_def_3455,type,
    sK2402: ( vEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_3456,type,
    sK2403: ( vEBT_VEBT * nat ) > $o ).

tff(func_def_3457,type,
    sK2404: ( vEBT_VEBT * nat ) > $o ).

tff(func_def_3458,type,
    sK2405: ( nat * $o * vEBT_VEBT ) > option(product_prod(nat,nat)) ).

tff(func_def_3459,type,
    sK2406: ( nat * $o * vEBT_VEBT ) > nat ).

tff(func_def_3460,type,
    sK2407: ( nat * $o * vEBT_VEBT ) > list(vEBT_VEBT) ).

tff(func_def_3461,type,
    sK2408: ( nat * $o * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_3462,type,
    sK2409: ( nat * $o * vEBT_VEBT ) > $o ).

tff(func_def_3463,type,
    sK2410: ( nat * $o * vEBT_VEBT ) > $o ).

tff(func_def_3464,type,
    sK2411: vEBT_VEBT > option(product_prod(nat,nat)) ).

tff(func_def_3465,type,
    sK2412: vEBT_VEBT > list(vEBT_VEBT) ).

tff(func_def_3466,type,
    sK2413: vEBT_VEBT > vEBT_VEBT ).

tff(func_def_3467,type,
    sK2414: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_3468,type,
    sK2415: ( vEBT_VEBT * nat ) > list(vEBT_VEBT) ).

tff(func_def_3469,type,
    sK2416: ( vEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_3470,type,
    sK2417: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_3471,type,
    sK2418: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_3472,type,
    sK2419: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_3473,type,
    sK2420: ( vEBT_VEBT * nat ) > list(vEBT_VEBT) ).

tff(func_def_3474,type,
    sK2421: ( vEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_3475,type,
    sK2422: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_3476,type,
    sK2423: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_3477,type,
    sK2424: ( vEBT_VEBT * nat ) > list(vEBT_VEBT) ).

tff(func_def_3478,type,
    sK2425: ( vEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_3479,type,
    sK2426: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_3480,type,
    sK2427: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_3481,type,
    sK2428: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_3482,type,
    sK2429: ( vEBT_VEBT * nat ) > list(vEBT_VEBT) ).

tff(func_def_3483,type,
    sK2430: ( vEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_3484,type,
    sK2431: ( vEBT_VEBT * nat ) > $o ).

tff(func_def_3485,type,
    sK2432: ( vEBT_VEBT * nat ) > $o ).

tff(func_def_3486,type,
    sK2433: ( nat * vEBT_VEBT ) > nat ).

tff(func_def_3487,type,
    sK2434: ( nat * vEBT_VEBT ) > nat ).

tff(func_def_3488,type,
    sK2435: ( nat * vEBT_VEBT ) > nat ).

tff(func_def_3489,type,
    sK2436: ( nat * vEBT_VEBT ) > list(vEBT_VEBT) ).

tff(func_def_3490,type,
    sK2437: ( nat * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_3491,type,
    sK2438: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_3492,type,
    sK2439: ( vEBT_VEBT * nat ) > list(vEBT_VEBT) ).

tff(func_def_3493,type,
    sK2440: ( vEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_3494,type,
    sK2441: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_3495,type,
    sK2442: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_3496,type,
    sK2443: ( vEBT_VEBT * nat ) > list(vEBT_VEBT) ).

tff(func_def_3497,type,
    sK2444: ( vEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_3498,type,
    sK2445: vEBT_VEBT > list(vEBT_VEBT) ).

tff(func_def_3499,type,
    sK2446: vEBT_VEBT > vEBT_VEBT ).

tff(func_def_3500,type,
    sK2447: vEBT_VEBT > $o ).

tff(func_def_3501,type,
    sK2448: vEBT_VEBT > $o ).

tff(func_def_3502,type,
    sK2449: ( nat * $o * vEBT_VEBT ) > nat ).

tff(func_def_3503,type,
    sK2450: ( nat * $o * vEBT_VEBT ) > list(vEBT_VEBT) ).

tff(func_def_3504,type,
    sK2451: ( nat * $o * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_3505,type,
    sK2452: ( nat * $o * vEBT_VEBT ) > nat ).

tff(func_def_3506,type,
    sK2453: ( nat * $o * vEBT_VEBT ) > nat ).

tff(func_def_3507,type,
    sK2454: ( nat * $o * vEBT_VEBT ) > list(vEBT_VEBT) ).

tff(func_def_3508,type,
    sK2455: ( nat * $o * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_3509,type,
    sK2456: ( nat * $o * vEBT_VEBT ) > nat ).

tff(func_def_3510,type,
    sK2457: ( nat * $o * vEBT_VEBT ) > nat ).

tff(func_def_3511,type,
    sK2458: ( nat * $o * vEBT_VEBT ) > nat ).

tff(func_def_3512,type,
    sK2459: ( nat * $o * vEBT_VEBT ) > list(vEBT_VEBT) ).

tff(func_def_3513,type,
    sK2460: ( nat * $o * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_3514,type,
    sK2461: vEBT_VEBT > list(vEBT_VEBT) ).

tff(func_def_3515,type,
    sK2462: vEBT_VEBT > vEBT_VEBT ).

tff(func_def_3516,type,
    sK2463: vEBT_VEBT > $o ).

tff(func_def_3517,type,
    sK2464: vEBT_VEBT > $o ).

tff(func_def_3518,type,
    sK2465: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_3519,type,
    sK2466: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_3520,type,
    sK2467: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_3521,type,
    sK2468: ( vEBT_VEBT * nat ) > list(vEBT_VEBT) ).

tff(func_def_3522,type,
    sK2469: ( vEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_3523,type,
    sK2470: vEBT_VEBT > product_prod(nat,nat) ).

tff(func_def_3524,type,
    sK2471: vEBT_VEBT > list(vEBT_VEBT) ).

tff(func_def_3525,type,
    sK2472: vEBT_VEBT > vEBT_VEBT ).

tff(func_def_3526,type,
    sK2473: vEBT_VEBT > product_prod(nat,nat) ).

tff(func_def_3527,type,
    sK2474: vEBT_VEBT > list(vEBT_VEBT) ).

tff(func_def_3528,type,
    sK2475: vEBT_VEBT > vEBT_VEBT ).

tff(func_def_3529,type,
    sK2476: vEBT_VEBT > nat ).

tff(func_def_3530,type,
    sK2477: vEBT_VEBT > list(vEBT_VEBT) ).

tff(func_def_3531,type,
    sK2478: vEBT_VEBT > vEBT_VEBT ).

tff(func_def_3532,type,
    sK2479: ( vEBT_VEBT * nat ) > $o ).

tff(func_def_3533,type,
    sK2480: ( vEBT_VEBT * nat ) > $o ).

tff(func_def_3534,type,
    sK2481: ( nat * $o * vEBT_VEBT ) > nat ).

tff(func_def_3535,type,
    sK2482: ( nat * $o * vEBT_VEBT ) > nat ).

tff(func_def_3536,type,
    sK2483: ( nat * $o * vEBT_VEBT ) > nat ).

tff(func_def_3537,type,
    sK2484: ( nat * $o * vEBT_VEBT ) > list(vEBT_VEBT) ).

tff(func_def_3538,type,
    sK2485: ( nat * $o * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_3539,type,
    sK2486: ( nat * $o * vEBT_VEBT ) > $o ).

tff(func_def_3540,type,
    sK2487: ( nat * $o * vEBT_VEBT ) > $o ).

tff(func_def_3541,type,
    sK2488: vEBT_VEBT > product_prod(nat,nat) ).

tff(func_def_3542,type,
    sK2489: vEBT_VEBT > list(vEBT_VEBT) ).

tff(func_def_3543,type,
    sK2490: vEBT_VEBT > vEBT_VEBT ).

tff(func_def_3544,type,
    sK2491: vEBT_VEBT > product_prod(nat,nat) ).

tff(func_def_3545,type,
    sK2492: vEBT_VEBT > list(vEBT_VEBT) ).

tff(func_def_3546,type,
    sK2493: vEBT_VEBT > vEBT_VEBT ).

tff(func_def_3547,type,
    sK2494: vEBT_VEBT > nat ).

tff(func_def_3548,type,
    sK2495: vEBT_VEBT > list(vEBT_VEBT) ).

tff(func_def_3549,type,
    sK2496: vEBT_VEBT > vEBT_VEBT ).

tff(func_def_3550,type,
    sK2497: ( vEBT_VEBT * vEBT_VEBT ) > option(product_prod(nat,nat)) ).

tff(func_def_3551,type,
    sK2498: ( vEBT_VEBT * vEBT_VEBT ) > list(vEBT_VEBT) ).

tff(func_def_3552,type,
    sK2499: ( vEBT_VEBT * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_3553,type,
    sK2500: ( vEBT_VEBT * nat * vEBT_VEBT ) > $o ).

tff(func_def_3554,type,
    sK2501: ( vEBT_VEBT * nat * vEBT_VEBT ) > $o ).

tff(func_def_3555,type,
    sK2502: ( vEBT_VEBT * nat * vEBT_VEBT ) > nat ).

tff(func_def_3556,type,
    sK2503: ( vEBT_VEBT * nat * vEBT_VEBT ) > nat ).

tff(func_def_3557,type,
    sK2504: ( vEBT_VEBT * nat * vEBT_VEBT ) > nat ).

tff(func_def_3558,type,
    sK2505: ( vEBT_VEBT * nat * vEBT_VEBT ) > list(vEBT_VEBT) ).

tff(func_def_3559,type,
    sK2506: ( vEBT_VEBT * nat * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_3560,type,
    sK2507: ( vEBT_VEBT * nat * vEBT_VEBT ) > nat ).

tff(func_def_3561,type,
    sK2508: ( vEBT_VEBT * nat * vEBT_VEBT ) > list(vEBT_VEBT) ).

tff(func_def_3562,type,
    sK2509: ( vEBT_VEBT * nat * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_3563,type,
    sK2510: ( vEBT_VEBT * vEBT_VEBT ) > option(product_prod(nat,nat)) ).

tff(func_def_3564,type,
    sK2511: ( vEBT_VEBT * vEBT_VEBT ) > list(vEBT_VEBT) ).

tff(func_def_3565,type,
    sK2512: ( vEBT_VEBT * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_3566,type,
    sK2513: ( vEBT_VEBT * vEBT_VEBT ) > nat ).

tff(func_def_3567,type,
    sK2514: ( vEBT_VEBT * vEBT_VEBT ) > list(vEBT_VEBT) ).

tff(func_def_3568,type,
    sK2515: ( vEBT_VEBT * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_3569,type,
    sK2516: ( vEBT_VEBT * nat * vEBT_VEBT ) > $o ).

tff(func_def_3570,type,
    sK2517: ( vEBT_VEBT * nat * vEBT_VEBT ) > $o ).

tff(func_def_3571,type,
    sK2518: nat > nat ).

tff(func_def_3572,type,
    sK2519: ( vEBT_VEBT * nat * vEBT_VEBT ) > $o ).

tff(func_def_3573,type,
    sK2520: ( vEBT_VEBT * nat * vEBT_VEBT ) > $o ).

tff(func_def_3574,type,
    sK2521: ( vEBT_VEBT * nat * vEBT_VEBT ) > $o ).

tff(func_def_3575,type,
    sK2522: ( vEBT_VEBT * nat * vEBT_VEBT ) > $o ).

tff(func_def_3576,type,
    sK2523: ( vEBT_VEBT * nat * vEBT_VEBT ) > nat ).

tff(func_def_3577,type,
    sK2524: ( vEBT_VEBT * nat * vEBT_VEBT ) > nat ).

tff(func_def_3578,type,
    sK2525: ( vEBT_VEBT * nat * vEBT_VEBT ) > nat ).

tff(func_def_3579,type,
    sK2526: ( vEBT_VEBT * nat * vEBT_VEBT ) > list(vEBT_VEBT) ).

tff(func_def_3580,type,
    sK2527: ( vEBT_VEBT * nat * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_3581,type,
    sK2528: ( vEBT_VEBT * vEBT_VEBT ) > nat ).

tff(func_def_3582,type,
    sK2529: ( vEBT_VEBT * vEBT_VEBT ) > nat ).

tff(func_def_3583,type,
    sK2530: ( vEBT_VEBT * vEBT_VEBT ) > list(vEBT_VEBT) ).

tff(func_def_3584,type,
    sK2531: ( vEBT_VEBT * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_3585,type,
    sK2532: ( vEBT_VEBT * vEBT_VEBT ) > nat ).

tff(func_def_3586,type,
    sK2533: ( vEBT_VEBT * vEBT_VEBT ) > nat ).

tff(func_def_3587,type,
    sK2534: ( vEBT_VEBT * vEBT_VEBT ) > list(vEBT_VEBT) ).

tff(func_def_3588,type,
    sK2535: ( vEBT_VEBT * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_3589,type,
    sK2536: vEBT_VEBT > nat ).

tff(func_def_3590,type,
    sK2537: vEBT_VEBT > list(vEBT_VEBT) ).

tff(func_def_3591,type,
    sK2538: vEBT_VEBT > vEBT_VEBT ).

tff(func_def_3592,type,
    sK2539: nat > nat ).

tff(func_def_3593,type,
    sK2540: vEBT_VEBT > $o ).

tff(func_def_3594,type,
    sK2541: vEBT_VEBT > $o ).

tff(func_def_3595,type,
    sK2542: ( option(nat) * nat * vEBT_VEBT ) > $o ).

tff(func_def_3596,type,
    sK2543: ( option(nat) * nat * vEBT_VEBT ) > $o ).

tff(func_def_3597,type,
    sK2544: ( vEBT_VEBT * nat * option(nat) ) > nat ).

tff(func_def_3598,type,
    sK2545: ( vEBT_VEBT * nat * option(nat) ) > nat ).

tff(func_def_3599,type,
    sK2546: ( vEBT_VEBT * nat * option(nat) ) > nat ).

tff(func_def_3600,type,
    sK2547: ( vEBT_VEBT * nat * option(nat) ) > list(vEBT_VEBT) ).

tff(func_def_3601,type,
    sK2548: ( vEBT_VEBT * nat * option(nat) ) > vEBT_VEBT ).

tff(func_def_3602,type,
    sK2549: vEBT_VEBT > product_prod(nat,nat) ).

tff(func_def_3603,type,
    sK2550: vEBT_VEBT > list(vEBT_VEBT) ).

tff(func_def_3604,type,
    sK2551: vEBT_VEBT > vEBT_VEBT ).

tff(func_def_3605,type,
    sK2552: vEBT_VEBT > product_prod(nat,nat) ).

tff(func_def_3606,type,
    sK2553: vEBT_VEBT > list(vEBT_VEBT) ).

tff(func_def_3607,type,
    sK2554: vEBT_VEBT > vEBT_VEBT ).

tff(func_def_3608,type,
    sK2555: vEBT_VEBT > nat ).

tff(func_def_3609,type,
    sK2556: vEBT_VEBT > list(vEBT_VEBT) ).

tff(func_def_3610,type,
    sK2557: vEBT_VEBT > vEBT_VEBT ).

tff(func_def_3611,type,
    sK2558: ( option(nat) * nat * vEBT_VEBT ) > $o ).

tff(func_def_3612,type,
    sK2559: ( option(nat) * nat * vEBT_VEBT ) > $o ).

tff(func_def_3613,type,
    sK2560: nat > nat ).

tff(func_def_3614,type,
    sK2561: ( option(nat) * nat * vEBT_VEBT ) > $o ).

tff(func_def_3615,type,
    sK2562: ( option(nat) * nat * vEBT_VEBT ) > $o ).

tff(func_def_3616,type,
    sK2563: vEBT_VEBT > $o ).

tff(func_def_3617,type,
    sK2564: vEBT_VEBT > $o ).

tff(func_def_3618,type,
    sK2565: ( vEBT_VEBT * nat * option(nat) ) > nat ).

tff(func_def_3619,type,
    sK2566: ( vEBT_VEBT * nat * option(nat) ) > nat ).

tff(func_def_3620,type,
    sK2567: ( vEBT_VEBT * nat * option(nat) ) > nat ).

tff(func_def_3621,type,
    sK2568: ( vEBT_VEBT * nat * option(nat) ) > list(vEBT_VEBT) ).

tff(func_def_3622,type,
    sK2569: ( vEBT_VEBT * nat * option(nat) ) > vEBT_VEBT ).

tff(func_def_3623,type,
    sK2570: vEBT_VEBT > product_prod(nat,nat) ).

tff(func_def_3624,type,
    sK2571: vEBT_VEBT > list(vEBT_VEBT) ).

tff(func_def_3625,type,
    sK2572: vEBT_VEBT > vEBT_VEBT ).

tff(func_def_3626,type,
    sK2573: vEBT_VEBT > product_prod(nat,nat) ).

tff(func_def_3627,type,
    sK2574: vEBT_VEBT > list(vEBT_VEBT) ).

tff(func_def_3628,type,
    sK2575: vEBT_VEBT > vEBT_VEBT ).

tff(func_def_3629,type,
    sK2576: ( nat * option(nat) * vEBT_VEBT ) > product_prod(nat,nat) ).

tff(func_def_3630,type,
    sK2577: ( nat * option(nat) * vEBT_VEBT ) > list(vEBT_VEBT) ).

tff(func_def_3631,type,
    sK2578: ( nat * option(nat) * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_3632,type,
    sK2579: ( nat * option(nat) * vEBT_VEBT ) > product_prod(nat,nat) ).

tff(func_def_3633,type,
    sK2580: ( nat * option(nat) * vEBT_VEBT ) > list(vEBT_VEBT) ).

tff(func_def_3634,type,
    sK2581: ( nat * option(nat) * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_3635,type,
    sK2582: ( nat * option(nat) * vEBT_VEBT ) > nat ).

tff(func_def_3636,type,
    sK2583: ( nat * option(nat) * vEBT_VEBT ) > list(vEBT_VEBT) ).

tff(func_def_3637,type,
    sK2584: ( nat * option(nat) * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_3638,type,
    sK2585: ( option(nat) * nat * vEBT_VEBT ) > $o ).

tff(func_def_3639,type,
    sK2586: ( option(nat) * nat * vEBT_VEBT ) > $o ).

tff(func_def_3640,type,
    sK2587: ( option(nat) * nat * vEBT_VEBT ) > nat ).

tff(func_def_3641,type,
    sK2588: ( option(nat) * nat * vEBT_VEBT ) > $o ).

tff(func_def_3642,type,
    sK2589: ( option(nat) * nat * vEBT_VEBT ) > $o ).

tff(func_def_3643,type,
    sK2590: ( vEBT_VEBT * nat * option(nat) ) > nat ).

tff(func_def_3644,type,
    sK2591: ( vEBT_VEBT * nat * option(nat) ) > nat ).

tff(func_def_3645,type,
    sK2592: ( vEBT_VEBT * nat * option(nat) ) > nat ).

tff(func_def_3646,type,
    sK2593: ( vEBT_VEBT * nat * option(nat) ) > list(vEBT_VEBT) ).

tff(func_def_3647,type,
    sK2594: ( vEBT_VEBT * nat * option(nat) ) > vEBT_VEBT ).

tff(func_def_3648,type,
    sK2595: ( nat * option(nat) * vEBT_VEBT ) > product_prod(nat,nat) ).

tff(func_def_3649,type,
    sK2596: ( nat * option(nat) * vEBT_VEBT ) > list(vEBT_VEBT) ).

tff(func_def_3650,type,
    sK2597: ( nat * option(nat) * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_3651,type,
    sK2598: ( nat * option(nat) * vEBT_VEBT ) > product_prod(nat,nat) ).

tff(func_def_3652,type,
    sK2599: ( nat * option(nat) * vEBT_VEBT ) > list(vEBT_VEBT) ).

tff(func_def_3653,type,
    sK2600: ( nat * option(nat) * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_3654,type,
    sK2601: ( nat * option(nat) * vEBT_VEBT ) > nat ).

tff(func_def_3655,type,
    sK2602: ( nat * option(nat) * vEBT_VEBT ) > list(vEBT_VEBT) ).

tff(func_def_3656,type,
    sK2603: ( nat * option(nat) * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_3657,type,
    sK2604: ( option(nat) * nat * vEBT_VEBT ) > $o ).

tff(func_def_3658,type,
    sK2605: ( option(nat) * nat * vEBT_VEBT ) > $o ).

tff(func_def_3659,type,
    sK2606: ( option(nat) * nat * vEBT_VEBT ) > nat ).

tff(func_def_3660,type,
    sK2607: ( option(nat) * nat * vEBT_VEBT ) > $o ).

tff(func_def_3661,type,
    sK2608: ( option(nat) * nat * vEBT_VEBT ) > $o ).

tff(func_def_3662,type,
    sK2609: ( option(nat) * nat * vEBT_VEBT ) > $o ).

tff(func_def_3663,type,
    sK2610: ( option(nat) * nat * vEBT_VEBT ) > $o ).

tff(func_def_3664,type,
    sK2611: ( vEBT_VEBT * nat * option(nat) ) > nat ).

tff(func_def_3665,type,
    sK2612: ( vEBT_VEBT * nat * option(nat) ) > nat ).

tff(func_def_3666,type,
    sK2613: ( vEBT_VEBT * nat * option(nat) ) > nat ).

tff(func_def_3667,type,
    sK2614: ( vEBT_VEBT * nat * option(nat) ) > list(vEBT_VEBT) ).

tff(func_def_3668,type,
    sK2615: ( vEBT_VEBT * nat * option(nat) ) > vEBT_VEBT ).

tff(func_def_3669,type,
    sK2616: ( nat * vEBT_VEBT * vEBT_VEBT ) > nat ).

tff(func_def_3670,type,
    sK2617: ( nat * vEBT_VEBT * vEBT_VEBT ) > nat ).

tff(func_def_3671,type,
    sK2618: ( nat * vEBT_VEBT * vEBT_VEBT ) > list(vEBT_VEBT) ).

tff(func_def_3672,type,
    sK2619: ( nat * vEBT_VEBT * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_3673,type,
    sK2620: ( nat * vEBT_VEBT * vEBT_VEBT ) > nat ).

tff(func_def_3674,type,
    sK2621: ( nat * vEBT_VEBT * vEBT_VEBT ) > nat ).

tff(func_def_3675,type,
    sK2622: ( nat * vEBT_VEBT * vEBT_VEBT ) > list(vEBT_VEBT) ).

tff(func_def_3676,type,
    sK2623: ( nat * vEBT_VEBT * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_3677,type,
    sK2624: ( nat * vEBT_VEBT * vEBT_VEBT ) > nat ).

tff(func_def_3678,type,
    sK2625: ( nat * vEBT_VEBT * vEBT_VEBT ) > list(vEBT_VEBT) ).

tff(func_def_3679,type,
    sK2626: ( nat * vEBT_VEBT * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_3680,type,
    sK2627: ( vEBT_VEBT * nat * vEBT_VEBT ) > $o ).

tff(func_def_3681,type,
    sK2628: ( vEBT_VEBT * nat * vEBT_VEBT ) > $o ).

tff(func_def_3682,type,
    sK2629: ( vEBT_VEBT * nat * vEBT_VEBT ) > nat ).

tff(func_def_3683,type,
    sK2630: ( vEBT_VEBT * nat * vEBT_VEBT ) > $o ).

tff(func_def_3684,type,
    sK2631: ( vEBT_VEBT * nat * vEBT_VEBT ) > $o ).

tff(func_def_3685,type,
    sK2632: ( vEBT_VEBT * nat * vEBT_VEBT ) > $o ).

tff(func_def_3686,type,
    sK2633: ( vEBT_VEBT * nat * vEBT_VEBT ) > $o ).

tff(func_def_3687,type,
    sK2634: ( vEBT_VEBT * nat * vEBT_VEBT ) > nat ).

tff(func_def_3688,type,
    sK2635: ( vEBT_VEBT * nat * vEBT_VEBT ) > nat ).

tff(func_def_3689,type,
    sK2636: ( vEBT_VEBT * nat * vEBT_VEBT ) > nat ).

tff(func_def_3690,type,
    sK2637: ( vEBT_VEBT * nat * vEBT_VEBT ) > list(vEBT_VEBT) ).

tff(func_def_3691,type,
    sK2638: ( vEBT_VEBT * nat * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_3692,type,
    sK2639: ( nat * vEBT_VEBT * vEBT_VEBT ) > nat ).

tff(func_def_3693,type,
    sK2640: ( nat * vEBT_VEBT * vEBT_VEBT ) > list(vEBT_VEBT) ).

tff(func_def_3694,type,
    sK2641: ( nat * vEBT_VEBT * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_3695,type,
    sK2642: ( nat * vEBT_VEBT * vEBT_VEBT ) > option(product_prod(nat,nat)) ).

tff(func_def_3696,type,
    sK2643: ( nat * vEBT_VEBT * vEBT_VEBT ) > list(vEBT_VEBT) ).

tff(func_def_3697,type,
    sK2644: ( nat * vEBT_VEBT * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_3698,type,
    sK2645: ( nat * vEBT_VEBT * vEBT_VEBT ) > option(product_prod(nat,nat)) ).

tff(func_def_3699,type,
    sK2646: ( nat * vEBT_VEBT * vEBT_VEBT ) > list(vEBT_VEBT) ).

tff(func_def_3700,type,
    sK2647: ( nat * vEBT_VEBT * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_3701,type,
    sK2648: ( nat * vEBT_VEBT * vEBT_VEBT ) > $o ).

tff(func_def_3702,type,
    sK2649: ( nat * vEBT_VEBT * vEBT_VEBT ) > $o ).

tff(func_def_3703,type,
    sK2650: ( vEBT_VEBT * nat * vEBT_VEBT ) > nat ).

tff(func_def_3704,type,
    sK2651: ( vEBT_VEBT * nat * vEBT_VEBT ) > nat ).

tff(func_def_3705,type,
    sK2652: ( vEBT_VEBT * nat * vEBT_VEBT ) > nat ).

tff(func_def_3706,type,
    sK2653: ( vEBT_VEBT * nat * vEBT_VEBT ) > list(vEBT_VEBT) ).

tff(func_def_3707,type,
    sK2654: ( vEBT_VEBT * nat * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_3708,type,
    sK2655: 
      !>[X0: $tType] : ( ( fun(nat,X0) * fun(nat,X0) ) > nat ) ).

tff(func_def_3709,type,
    sK2656: ( nat * $o * vEBT_VEBT ) > product_prod(nat,nat) ).

tff(func_def_3710,type,
    sK2657: ( nat * $o * vEBT_VEBT ) > list(vEBT_VEBT) ).

tff(func_def_3711,type,
    sK2658: ( nat * $o * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_3712,type,
    sK2659: ( nat * $o * vEBT_VEBT ) > product_prod(nat,nat) ).

tff(func_def_3713,type,
    sK2660: ( nat * $o * vEBT_VEBT ) > list(vEBT_VEBT) ).

tff(func_def_3714,type,
    sK2661: ( nat * $o * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_3715,type,
    sK2662: ( nat * $o * vEBT_VEBT ) > nat ).

tff(func_def_3716,type,
    sK2663: ( nat * $o * vEBT_VEBT ) > list(vEBT_VEBT) ).

tff(func_def_3717,type,
    sK2664: ( nat * $o * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_3718,type,
    sK2665: ( nat * $o * vEBT_VEBT ) > $o ).

tff(func_def_3719,type,
    sK2666: ( nat * $o * vEBT_VEBT ) > $o ).

tff(func_def_3720,type,
    sK2667: ( vEBT_VEBT * nat * $o ) > nat ).

tff(func_def_3721,type,
    sK2668: ( vEBT_VEBT * nat * $o ) > nat ).

tff(func_def_3722,type,
    sK2669: ( vEBT_VEBT * nat * $o ) > nat ).

tff(func_def_3723,type,
    sK2670: ( vEBT_VEBT * nat * $o ) > list(vEBT_VEBT) ).

tff(func_def_3724,type,
    sK2671: ( vEBT_VEBT * nat * $o ) > vEBT_VEBT ).

tff(func_def_3725,type,
    sK2672: ( nat * vEBT_VEBT ) > nat ).

tff(func_def_3726,type,
    sK2673: ( nat * vEBT_VEBT ) > nat ).

tff(func_def_3727,type,
    sK2674: ( nat * vEBT_VEBT ) > nat ).

tff(func_def_3728,type,
    sK2675: ( nat * vEBT_VEBT ) > list(vEBT_VEBT) ).

tff(func_def_3729,type,
    sK2676: ( nat * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_3730,type,
    sK2677: ( nat * vEBT_VEBT ) > $o ).

tff(func_def_3731,type,
    sK2678: ( nat * vEBT_VEBT ) > $o ).

tff(func_def_3732,type,
    sK2679: ( vEBT_VEBT * nat ) > product_prod(nat,nat) ).

tff(func_def_3733,type,
    sK2680: ( vEBT_VEBT * nat ) > list(vEBT_VEBT) ).

tff(func_def_3734,type,
    sK2681: ( vEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_3735,type,
    sK2682: ( vEBT_VEBT * nat ) > product_prod(nat,nat) ).

tff(func_def_3736,type,
    sK2683: ( vEBT_VEBT * nat ) > list(vEBT_VEBT) ).

tff(func_def_3737,type,
    sK2684: ( vEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_3738,type,
    sK2685: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_3739,type,
    sK2686: ( vEBT_VEBT * nat ) > list(vEBT_VEBT) ).

tff(func_def_3740,type,
    sK2687: ( vEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_3741,type,
    sK2688: ( nat * vEBT_VEBT ) > $o ).

tff(func_def_3742,type,
    sK2689: ( nat * vEBT_VEBT ) > $o ).

tff(func_def_3743,type,
    sK2690: ( vEBT_VEBT * nat ) > option(product_prod(nat,nat)) ).

tff(func_def_3744,type,
    sK2691: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_3745,type,
    sK2692: ( vEBT_VEBT * nat ) > list(vEBT_VEBT) ).

tff(func_def_3746,type,
    sK2693: ( vEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_3747,type,
    sK2694: ( vEBT_VEBT * nat ) > option(product_prod(nat,nat)) ).

tff(func_def_3748,type,
    sK2695: ( vEBT_VEBT * nat ) > list(vEBT_VEBT) ).

tff(func_def_3749,type,
    sK2696: ( vEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_3750,type,
    sK2697: ( nat * vEBT_VEBT ) > $o ).

tff(func_def_3751,type,
    sK2698: ( nat * vEBT_VEBT ) > $o ).

tff(func_def_3752,type,
    sK2699: ( vEBT_VEBT * nat ) > option(product_prod(nat,nat)) ).

tff(func_def_3753,type,
    sK2700: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_3754,type,
    sK2701: ( vEBT_VEBT * nat ) > list(vEBT_VEBT) ).

tff(func_def_3755,type,
    sK2702: ( vEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_3756,type,
    sK2703: ( nat * $o * vEBT_VEBT ) > option(product_prod(nat,nat)) ).

tff(func_def_3757,type,
    sK2704: ( nat * $o * vEBT_VEBT ) > list(vEBT_VEBT) ).

tff(func_def_3758,type,
    sK2705: ( nat * $o * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_3759,type,
    sK2706: ( nat * $o * vEBT_VEBT ) > $o ).

tff(func_def_3760,type,
    sK2707: ( nat * $o * vEBT_VEBT ) > $o ).

tff(func_def_3761,type,
    sK2708: ( vEBT_VEBT * nat * $o ) > option(product_prod(nat,nat)) ).

tff(func_def_3762,type,
    sK2709: ( vEBT_VEBT * nat * $o ) > nat ).

tff(func_def_3763,type,
    sK2710: ( vEBT_VEBT * nat * $o ) > list(vEBT_VEBT) ).

tff(func_def_3764,type,
    sK2711: ( vEBT_VEBT * nat * $o ) > vEBT_VEBT ).

tff(func_def_3765,type,
    sK2712: ( nat * vEBT_VEBT ) > $o ).

tff(func_def_3766,type,
    sK2713: ( nat * vEBT_VEBT ) > $o ).

tff(func_def_3767,type,
    sK2714: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_3768,type,
    sK2715: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_3769,type,
    sK2716: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_3770,type,
    sK2717: ( vEBT_VEBT * nat ) > list(vEBT_VEBT) ).

tff(func_def_3771,type,
    sK2718: ( vEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_3772,type,
    sK2719: ( nat * $o * vEBT_VEBT ) > list(vEBT_VEBT) ).

tff(func_def_3773,type,
    sK2720: ( nat * $o * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_3774,type,
    sK2721: ( nat * $o * vEBT_VEBT ) > $o ).

tff(func_def_3775,type,
    sK2722: ( nat * $o * vEBT_VEBT ) > $o ).

tff(func_def_3776,type,
    sK2723: ( nat * $o * vEBT_VEBT ) > nat ).

tff(func_def_3777,type,
    sK2724: ( nat * $o * vEBT_VEBT ) > nat ).

tff(func_def_3778,type,
    sK2725: ( nat * $o * vEBT_VEBT ) > list(vEBT_VEBT) ).

tff(func_def_3779,type,
    sK2726: ( nat * $o * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_3780,type,
    sK2727: ( nat * $o * vEBT_VEBT ) > nat ).

tff(func_def_3781,type,
    sK2728: ( nat * $o * vEBT_VEBT ) > nat ).

tff(func_def_3782,type,
    sK2729: ( nat * $o * vEBT_VEBT ) > nat ).

tff(func_def_3783,type,
    sK2730: ( nat * $o * vEBT_VEBT ) > list(vEBT_VEBT) ).

tff(func_def_3784,type,
    sK2731: ( nat * $o * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_3785,type,
    sK2732: ( vEBT_VEBT * nat * $o ) > nat ).

tff(func_def_3786,type,
    sK2733: ( vEBT_VEBT * nat * $o ) > list(vEBT_VEBT) ).

tff(func_def_3787,type,
    sK2734: ( vEBT_VEBT * nat * $o ) > vEBT_VEBT ).

tff(func_def_3788,type,
    sK2735: ( nat * vEBT_VEBT ) > nat ).

tff(func_def_3789,type,
    sK2736: ( nat * vEBT_VEBT ) > list(vEBT_VEBT) ).

tff(func_def_3790,type,
    sK2737: ( nat * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_3791,type,
    sK2738: ( nat * vEBT_VEBT ) > nat ).

tff(func_def_3792,type,
    sK2739: ( nat * vEBT_VEBT ) > nat ).

tff(func_def_3793,type,
    sK2740: ( nat * vEBT_VEBT ) > list(vEBT_VEBT) ).

tff(func_def_3794,type,
    sK2741: ( nat * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_3795,type,
    sK2742: ( nat * vEBT_VEBT ) > nat ).

tff(func_def_3796,type,
    sK2743: ( nat * vEBT_VEBT ) > nat ).

tff(func_def_3797,type,
    sK2744: ( nat * vEBT_VEBT ) > nat ).

tff(func_def_3798,type,
    sK2745: ( nat * vEBT_VEBT ) > list(vEBT_VEBT) ).

tff(func_def_3799,type,
    sK2746: ( nat * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_3800,type,
    sK2747: ( vEBT_VEBT * nat ) > list(vEBT_VEBT) ).

tff(func_def_3801,type,
    sK2748: ( vEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_3802,type,
    sK2749: ( vEBT_VEBT * nat ) > $o ).

tff(func_def_3803,type,
    sK2750: ( vEBT_VEBT * nat ) > $o ).

tff(func_def_3804,type,
    sK2751: ( nat * vEBT_VEBT ) > nat ).

tff(func_def_3805,type,
    sK2752: ( nat * vEBT_VEBT ) > nat ).

tff(func_def_3806,type,
    sK2753: ( nat * vEBT_VEBT ) > nat ).

tff(func_def_3807,type,
    sK2754: ( nat * vEBT_VEBT ) > list(vEBT_VEBT) ).

tff(func_def_3808,type,
    sK2755: ( nat * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_3809,type,
    sK2756: ( nat * vEBT_VEBT ) > nat ).

tff(func_def_3810,type,
    sK2757: ( nat * vEBT_VEBT ) > nat ).

tff(func_def_3811,type,
    sK2758: ( nat * vEBT_VEBT ) > list(vEBT_VEBT) ).

tff(func_def_3812,type,
    sK2759: ( nat * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_3813,type,
    sK2760: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_3814,type,
    sK2761: ( vEBT_VEBT * nat ) > list(vEBT_VEBT) ).

tff(func_def_3815,type,
    sK2762: ( vEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_3816,type,
    sK2763: ( fun(nat,$o) * nat ) > nat ).

tff(func_def_3817,type,
    sK2764: fun(nat,fun(nat,$o)) > nat ).

tff(func_def_3818,type,
    sK2765: fun(nat,fun(nat,$o)) > nat ).

tff(func_def_3819,type,
    sK2766: fun(nat,fun(nat,$o)) > nat ).

tff(func_def_3820,type,
    sK2767: ( nat * nat ) > nat ).

tff(func_def_3821,type,
    sK2768: ( nat * nat * nat ) > nat ).

tff(func_def_3822,type,
    sK2769: ( nat * nat * nat ) > nat ).

tff(func_def_3823,type,
    sK2770: ( nat * nat * nat ) > nat ).

tff(func_def_3824,type,
    sK2771: ( nat * fun(nat,$o) * nat ) > nat ).

tff(func_def_3825,type,
    sK2772: ( nat * fun(nat,$o) * nat ) > nat ).

tff(func_def_3826,type,
    sK2773: ( fun(real,fun(real,$o)) * real * real ) > real ).

tff(func_def_3827,type,
    sK2774: ( fun(real,fun(real,$o)) * real * real * real ) > real ).

tff(func_def_3828,type,
    sK2775: ( fun(real,fun(real,$o)) * real * real * real ) > real ).

tff(func_def_3829,type,
    sK2776: fun(real,fun(real,$o)) > real ).

tff(func_def_3830,type,
    sK2777: fun(real,fun(real,$o)) > real ).

tff(func_def_3831,type,
    sK2778: fun(real,fun(real,$o)) > real ).

tff(func_def_3832,type,
    sK2779: 
      !>[X0: $tType] : ( ( X0 * X0 ) > X0 ) ).

tff(func_def_3833,type,
    sK2780: 
      !>[X0: $tType] : ( ( X0 * X0 ) > X0 ) ).

tff(func_def_3834,type,
    sK2781: 
      !>[X0: $tType] : ( ( X0 * X0 ) > X0 ) ).

tff(func_def_3835,type,
    sK2782: 
      !>[X0: $tType] : ( ( X0 * X0 ) > X0 ) ).

tff(func_def_3836,type,
    sK2783: 
      !>[X0: $tType] : ( ( fun(X0,$o) * X0 ) > X0 ) ).

tff(func_def_3837,type,
    sK2784: 
      !>[X0: $tType] : ( ( fun(X0,$o) * X0 ) > X0 ) ).

tff(func_def_3838,type,
    sK2785: 
      !>[X0: $tType] : ( ( X0 * X0 ) > X0 ) ).

tff(func_def_3839,type,
    sK2786: ( nat * nat ) > nat ).

tff(func_def_3840,type,
    sK2787: ( nat * nat ) > nat ).

tff(func_def_3841,type,
    sK2788: ( nat * nat ) > nat ).

tff(func_def_3842,type,
    sK2789: product_prod(nat,nat) > nat ).

tff(func_def_3843,type,
    sK2790: product_prod(nat,nat) > nat ).

tff(func_def_3844,type,
    sK2791: 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_3845,type,
    sK2792: 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_3846,type,
    sK2793: 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_3847,type,
    sK2794: 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_3848,type,
    sK2795: product_prod(fun(int,option(product_prod($o,list(code_term)))),product_prod(int,int)) > int ).

tff(func_def_3849,type,
    sK2796: product_prod(fun(int,option(product_prod($o,list(code_term)))),product_prod(int,int)) > int ).

tff(func_def_3850,type,
    sK2797: product_prod(int,int) > int ).

tff(func_def_3851,type,
    sK2798: product_prod(int,int) > int ).

tff(func_def_3852,type,
    sK2799: 
      !>[X0: $tType] : ( ( X0 * X0 ) > X0 ) ).

tff(func_def_3853,type,
    sK2800: ( fun(int,$o) * int * int ) > int ).

tff(func_def_3854,type,
    sK2801: ( fun(int,$o) * int * int ) > int ).

tff(func_def_3855,type,
    sK2802: ( fun(int,$o) * int * int ) > int ).

tff(func_def_3856,type,
    sK2803: ( fun(int,$o) * int * int ) > int ).

tff(func_def_3857,type,
    sK2804: ( int * fun(int,fun(int,$o)) * int ) > int ).

tff(func_def_3858,type,
    sK2805: ( int * fun(int,fun(int,$o)) * int ) > int ).

tff(func_def_3859,type,
    sK2806: ( int * fun(int,fun(int,$o)) * int ) > int ).

tff(func_def_3860,type,
    sK2807: ( int * fun(int,fun(int,$o)) * int ) > int ).

tff(func_def_3861,type,
    sK2808: nat > nat ).

tff(func_def_3862,type,
    sK2809: ( nat * vEBT_VEBT ) > nat ).

tff(func_def_3863,type,
    sK2810: 
      !>[X0: $tType] : ( ( nat * X0 * fun(X0,$o) ) > X0 ) ).

tff(func_def_3864,type,
    sK2811: 
      !>[X0: $tType] : ( ( nat * X0 * fun(X0,$o) ) > X0 ) ).

tff(func_def_3865,type,
    sK2812: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( product_prod(X2,X1) * fun(X2,fun(X1,X0)) * fun(X2,fun(X1,X0)) ) > X2 ) ).

tff(func_def_3866,type,
    sK2813: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( product_prod(X2,X1) * fun(X2,fun(X1,X0)) * fun(X2,fun(X1,X0)) ) > X1 ) ).

tff(func_def_3867,type,
    sK2814: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( fun(X1,$o) * fun(X0,fun(X2,X1)) * product_prod(X0,X2) ) > X0 ) ).

tff(func_def_3868,type,
    sK2815: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( fun(X1,$o) * fun(X0,fun(X2,X1)) * product_prod(X0,X2) ) > X2 ) ).

tff(func_def_3869,type,
    sK2816: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( fun(X2,fun(X1,X0)) * fun(product_prod(X2,X1),X0) ) > X2 ) ).

tff(func_def_3870,type,
    sK2817: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( fun(X2,fun(X1,X0)) * fun(product_prod(X2,X1),X0) ) > X1 ) ).

tff(func_def_3871,type,
    sK2818: 
      !>[X0: $tType] : ( ( list(X0) * X0 ) > X0 ) ).

tff(func_def_3872,type,
    sK2819: 
      !>[X0: $tType] : ( ( list(X0) * X0 ) > X0 ) ).

tff(func_def_3873,type,
    sK2820: ( nat * vEBT_VEBT ) > nat ).

tff(func_def_3874,type,
    sK2821: 
      !>[X0: $tType,X1: $tType] : ( ( product_prod(X1,X0) * fun(X1,fun(X0,$o)) ) > X1 ) ).

tff(func_def_3875,type,
    sK2822: 
      !>[X0: $tType,X1: $tType] : ( ( product_prod(X1,X0) * fun(X1,fun(X0,$o)) ) > X0 ) ).

tff(func_def_3876,type,
    sK2823: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( product_prod(X2,X1) * X0 * fun(X2,fun(X1,set(X0))) ) > X2 ) ).

tff(func_def_3877,type,
    sK2824: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( product_prod(X2,X1) * X0 * fun(X2,fun(X1,set(X0))) ) > X1 ) ).

tff(func_def_3878,type,
    sK2825: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( product_prod(X0,X1) * fun(X0,fun(X1,fun(X2,$o))) * X2 ) > X0 ) ).

tff(func_def_3879,type,
    sK2826: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( product_prod(X0,X1) * fun(X0,fun(X1,fun(X2,$o))) * X2 ) > X1 ) ).

tff(func_def_3880,type,
    sK2827: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( X1 * fun(X0,fun(X2,set(X1))) * product_prod(X0,X2) ) > X0 ) ).

tff(func_def_3881,type,
    sK2828: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( X1 * fun(X0,fun(X2,set(X1))) * product_prod(X0,X2) ) > X2 ) ).

tff(func_def_3882,type,
    sK2829: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,fun(X1,$o)) * product_prod(X0,X1) ) > X0 ) ).

tff(func_def_3883,type,
    sK2830: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,fun(X1,$o)) * product_prod(X0,X1) ) > X1 ) ).

tff(func_def_3884,type,
    sK2831: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( fun(X1,fun(X0,fun(X2,$o))) * product_prod(X1,X0) * X2 ) > X1 ) ).

tff(func_def_3885,type,
    sK2832: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( fun(X1,fun(X0,fun(X2,$o))) * product_prod(X1,X0) * X2 ) > X0 ) ).

tff(func_def_3886,type,
    sK2833: product_prod(num,num) > num ).

tff(func_def_3887,type,
    sK2834: product_prod(num,num) > num ).

tff(func_def_3888,type,
    sK2835: product_prod(num,num) > num ).

tff(func_def_3889,type,
    sK2836: product_prod(num,num) > num ).

tff(func_def_3890,type,
    sK2837: product_prod(num,num) > num ).

tff(func_def_3891,type,
    sK2838: product_prod(num,num) > num ).

tff(func_def_3892,type,
    sK2839: product_prod(num,num) > num ).

tff(func_def_3893,type,
    sK2840: product_prod(num,num) > num ).

tff(func_def_3894,type,
    sK2841: product_prod(num,num) > num ).

tff(func_def_3895,type,
    sK2842: product_prod(num,num) > num ).

tff(func_def_3896,type,
    sK2843: product_prod(num,num) > num ).

tff(func_def_3897,type,
    sK2844: product_prod(num,num) > num ).

tff(func_def_3898,type,
    sK2845: 
      !>[X0: $tType] : ( X0 > int ) ).

tff(func_def_3899,type,
    sK2846: 
      !>[X0: $tType] : ( X0 > int ) ).

tff(func_def_3900,type,
    sK2847: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,X1) ) > X0 ) ).

tff(func_def_3901,type,
    sK2848: 
      !>[X0: $tType] : ( ( X0 * set(X0) ) > set(X0) ) ).

tff(func_def_3902,type,
    sK2849: 
      !>[X0: $tType] : ( ( X0 * set(X0) ) > set(X0) ) ).

tff(func_def_3903,type,
    sK2850: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * set(X0) ) > X0 ) ).

tff(func_def_3904,type,
    sK2851: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,X1) ) > X0 ) ).

tff(func_def_3905,type,
    sK2852: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,X0) * fun(X1,X0) ) > X1 ) ).

tff(func_def_3906,type,
    sK2853: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_3907,type,
    sK2854: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,X1) ) > X0 ) ).

tff(func_def_3908,type,
    sK2855: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_3909,type,
    sK2856: 
      !>[X0: $tType] : ( ( set(nat) * fun(nat,X0) * fun(nat,X0) ) > nat ) ).

tff(func_def_3910,type,
    sK2857: 
      !>[X0: $tType] : ( fun(set(X0),$o) > X0 ) ).

tff(func_def_3911,type,
    sK2858: 
      !>[X0: $tType] : ( fun(set(X0),$o) > set(X0) ) ).

tff(func_def_3912,type,
    sK2859: 
      !>[X0: $tType] : ( fun(set(X0),$o) > set(X0) ) ).

tff(func_def_3913,type,
    sK2860: 
      !>[X0: $tType] : ( fun(set(X0),$o) > X0 ) ).

tff(func_def_3914,type,
    sK2861: 
      !>[X0: $tType] : ( fun(set(X0),$o) > set(X0) ) ).

tff(func_def_3915,type,
    sK2862: 
      !>[X0: $tType] : ( fun(set(X0),$o) > X0 ) ).

tff(func_def_3916,type,
    sK2863: 
      !>[X0: $tType] : ( fun(set(X0),$o) > X0 ) ).

tff(func_def_3917,type,
    sK2864: 
      !>[X0: $tType] : ( fun(set(X0),$o) > set(X0) ) ).

tff(func_def_3918,type,
    sK2865: 
      !>[X0: $tType] : ( set(X0) > set(X0) ) ).

tff(func_def_3919,type,
    sK2866: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_3920,type,
    sK2867: 
      !>[X0: $tType] : ( set(X0) > set(X0) ) ).

tff(func_def_3921,type,
    sK2868: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_3922,type,
    sK2869: 
      !>[X0: $tType,X1: $tType] : ( ( X1 * set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_3923,type,
    sK2870: 
      !>[X0: $tType] : ( ( set(X0) * fun(X0,nat) * fun(X0,nat) ) > X0 ) ).

tff(func_def_3924,type,
    sK2871: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( set(X0) * set(X2) * fun(X2,X1) * fun(X2,X0) * fun(X0,X1) ) > X0 ) ).

tff(func_def_3925,type,
    sK2872: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_3926,type,
    sK2873: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,X1) ) > X0 ) ).

tff(func_def_3927,type,
    sK2874: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,X1) ) > X0 ) ).

tff(func_def_3928,type,
    sK2875: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,X0) * fun(X1,X0) ) > X1 ) ).

tff(func_def_3929,type,
    sK2876: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,fun(X0,$o)) * set(X1) * fun(X1,X0) * fun(X1,X0) ) > X1 ) ).

tff(func_def_3930,type,
    sK2877: 
      !>[X0: $tType] : ( fun(X0,fun(X0,$o)) > X0 ) ).

tff(func_def_3931,type,
    sK2878: 
      !>[X0: $tType] : ( fun(X0,fun(X0,$o)) > X0 ) ).

tff(func_def_3932,type,
    sK2879: 
      !>[X0: $tType] : ( fun(X0,fun(X0,$o)) > X0 ) ).

tff(func_def_3933,type,
    sK2880: 
      !>[X0: $tType] : ( fun(X0,fun(X0,$o)) > X0 ) ).

tff(func_def_3934,type,
    sK2881: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,X0) * fun(X1,X0) ) > X1 ) ).

tff(func_def_3935,type,
    sK2882: 
      !>[X0: $tType] : ( ( set(X0) * fun(X0,nat) * X0 ) > X0 ) ).

tff(func_def_3936,type,
    sK2883: 
      !>[X0: $tType] : ( ( set(X0) * fun(X0,nat) ) > X0 ) ).

tff(func_def_3937,type,
    sK2884: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * set(X0) * fun(X1,X0) * set(X1) * set(X1) ) > X1 ) ).

tff(func_def_3938,type,
    sK2885: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * fun(X0,X1) * set(X1) * set(X1) ) > X1 ) ).

tff(func_def_3939,type,
    sK2886: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * set(X0) * fun(X1,X0) * set(X1) * set(X1) ) > X1 ) ).

tff(func_def_3940,type,
    sK2887: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * fun(X0,X1) * set(X1) * set(X1) ) > X1 ) ).

tff(func_def_3941,type,
    sK2888: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( set(X0) * fun(X0,X2) * fun(X0,X1) * fun(X2,X1) ) > X0 ) ).

tff(func_def_3942,type,
    sK2889: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_3943,type,
    sK2890: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,X1) ) > X0 ) ).

tff(func_def_3944,type,
    sK2891: 
      !>[X0: $tType] : ( ( fun(X0,nat) * set(X0) ) > X0 ) ).

tff(func_def_3945,type,
    sK2892: 
      !>[X0: $tType] : ( ( set(X0) * fun(X0,nat) * X0 ) > X0 ) ).

tff(func_def_3946,type,
    sK2893: 
      !>[X0: $tType] : ( ( set(X0) * fun(X0,nat) ) > X0 ) ).

tff(func_def_3947,type,
    sK2894: 
      !>[X0: $tType,X1: $tType] : ( ( fun(set(X1),$o) * fun(X1,X0) ) > X1 ) ).

tff(func_def_3948,type,
    sK2895: 
      !>[X0: $tType,X1: $tType] : ( ( fun(set(X1),$o) * fun(X1,X0) ) > set(X1) ) ).

tff(func_def_3949,type,
    sK2896: 
      !>[X0: $tType] : ( fun(set(X0),$o) > X0 ) ).

tff(func_def_3950,type,
    sK2897: 
      !>[X0: $tType] : ( fun(set(X0),$o) > set(X0) ) ).

tff(func_def_3951,type,
    sK2898: 
      !>[X0: $tType] : ( fun(set(X0),$o) > X0 ) ).

tff(func_def_3952,type,
    sK2899: 
      !>[X0: $tType] : ( fun(set(X0),$o) > set(X0) ) ).

tff(func_def_3953,type,
    sK2900: 
      !>[X0: $tType] : ( ( set(X0) * fun(set(X0),$o) ) > X0 ) ).

tff(func_def_3954,type,
    sK2901: 
      !>[X0: $tType] : ( ( set(X0) * fun(set(X0),$o) ) > set(X0) ) ).

tff(func_def_3955,type,
    sK2902: 
      !>[X0: $tType] : ( ( set(X0) * fun(set(X0),$o) ) > X0 ) ).

tff(func_def_3956,type,
    sK2903: 
      !>[X0: $tType] : ( ( set(X0) * fun(set(X0),$o) ) > set(X0) ) ).

tff(func_def_3957,type,
    sK2904: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,X1) ) > X0 ) ).

tff(func_def_3958,type,
    sK2905: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,X1) ) > X0 ) ).

tff(func_def_3959,type,
    sK2906: 
      !>[X0: $tType] : ( fun(set(X0),$o) > X0 ) ).

tff(func_def_3960,type,
    sK2907: 
      !>[X0: $tType] : ( fun(set(X0),$o) > set(X0) ) ).

tff(func_def_3961,type,
    sK2908: 
      !>[X0: $tType] : ( fun(set(X0),$o) > set(X0) ) ).

tff(func_def_3962,type,
    sK2909: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_3963,type,
    sK2910: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_3964,type,
    sK2911: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,X0) * fun(X1,X0) ) > X1 ) ).

tff(func_def_3965,type,
    sK2912: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_3966,type,
    sK2913: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,X0) * fun(X1,X0) ) > X1 ) ).

tff(func_def_3967,type,
    sK2914: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_3968,type,
    sK2915: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_3969,type,
    sK2916: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_3970,type,
    sK2917: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_3971,type,
    sK2918: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_3972,type,
    sK2919: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_3973,type,
    sK2920: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_3974,type,
    sK2921: 
      !>[X0: $tType] : ( ( fun(set(X0),$o) * set(X0) ) > set(X0) ) ).

tff(func_def_3975,type,
    sK2922: 
      !>[X0: $tType] : ( ( set(X0) * fun(set(X0),$o) ) > set(X0) ) ).

tff(func_def_3976,type,
    sK2923: 
      !>[X0: $tType] : ( ( set(X0) * fun(set(X0),$o) ) > set(X0) ) ).

tff(func_def_3977,type,
    sK2924: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_3978,type,
    sK2925: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_3979,type,
    sK2926: fun(nat,$o) > nat ).

tff(func_def_3980,type,
    sK2927: 
      !>[X0: $tType] : ( X0 > int ) ).

tff(func_def_3981,type,
    sK2928: 
      !>[X0: $tType] : ( X0 > int ) ).

tff(func_def_3982,type,
    sK2929: 
      !>[X0: $tType] : ( X0 > int ) ).

tff(func_def_3983,type,
    sK2930: 
      !>[X0: $tType] : ( X0 > nat ) ).

tff(func_def_3984,type,
    sK2931: 
      !>[X0: $tType] : ( X0 > nat ) ).

tff(func_def_3985,type,
    sK2932: 
      !>[X0: $tType] : ( ( X0 * X0 ) > nat ) ).

tff(func_def_3986,type,
    sK2933: ( real * real ) > nat ).

tff(func_def_3987,type,
    sK2934: int > nat ).

tff(func_def_3988,type,
    sK2935: int > nat ).

tff(func_def_3989,type,
    sK2936: ( int * int ) > nat ).

tff(func_def_3990,type,
    sK2937: int > nat ).

tff(func_def_3991,type,
    sK2938: int > nat ).

tff(func_def_3992,type,
    sK2939: int > nat ).

tff(func_def_3993,type,
    sK2940: int > nat ).

tff(func_def_3994,type,
    sK2941: int > nat ).

tff(func_def_3995,type,
    sK2942: 
      !>[X0: $tType] : ( X0 > nat ) ).

tff(func_def_3996,type,
    sK2943: ( real * real ) > nat ).

tff(func_def_3997,type,
    sK2944: int > nat ).

tff(func_def_3998,type,
    sK2945: set(nat) > nat ).

tff(func_def_3999,type,
    sK2946: set(nat) > nat ).

tff(func_def_4000,type,
    sK2947: 
      !>[X0: $tType] : ( ( fun(X0,nat) * fun(X0,nat) ) > X0 ) ).

tff(func_def_4001,type,
    sK2948: 
      !>[X0: $tType,X1: $tType] : ( fun(X0,X1) > real ) ).

tff(func_def_4002,type,
    sK2949: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * nat ) > X0 ) ).

tff(func_def_4003,type,
    sK2950: 
      !>[X0: $tType,X1: $tType] : ( fun(X0,X1) > nat ) ).

tff(func_def_4004,type,
    sK2951: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * real ) > X0 ) ).

tff(func_def_4005,type,
    sK2952: 
      !>[X0: $tType,X1: $tType] : ( fun(X0,X1) > real ) ).

tff(func_def_4006,type,
    sK2953: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * nat ) > X0 ) ).

tff(func_def_4007,type,
    sK2954: 
      !>[X0: $tType,X1: $tType] : ( fun(X0,X1) > nat ) ).

tff(func_def_4008,type,
    sK2955: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * real ) > X0 ) ).

tff(func_def_4009,type,
    sK2956: 
      !>[X0: $tType] : ( ( nat * fun(nat,X0) * X0 ) > nat ) ).

tff(func_def_4010,type,
    sK2957: set(nat) > nat ).

tff(func_def_4011,type,
    sK2958: 
      !>[X0: $tType] : ( ( fun(nat,X0) * nat * fun(nat,X0) ) > nat ) ).

tff(func_def_4012,type,
    sK2959: 
      !>[X0: $tType] : ( ( fun(nat,X0) * nat * fun(nat,X0) ) > X0 ) ).

tff(func_def_4013,type,
    sK2960: 
      !>[X0: $tType] : ( ( fun(nat,X0) * nat ) > X0 ) ).

tff(func_def_4014,type,
    sK2961: 
      !>[X0: $tType] : ( ( fun(nat,X0) * nat ) > nat ) ).

tff(func_def_4015,type,
    sK2962: 
      !>[X0: $tType] : ( ( fun(nat,X0) * nat ) > X0 ) ).

tff(func_def_4016,type,
    sK2963: 
      !>[X0: $tType] : ( ( fun(nat,X0) * nat ) > nat ) ).

tff(func_def_4017,type,
    sK2964: 
      !>[X0: $tType] : ( ( fun(nat,X0) * X0 * nat ) > fun(nat,X0) ) ).

tff(func_def_4018,type,
    sK2965: 
      !>[X0: $tType] : ( ( nat * fun(nat,X0) ) > nat ) ).

tff(func_def_4019,type,
    sK2966: 
      !>[X0: $tType] : ( ( nat * fun(nat,X0) ) > nat ) ).

tff(func_def_4020,type,
    sK2967: 
      !>[X0: $tType] : ( ( fun(nat,X0) * nat ) > nat ) ).

tff(func_def_4021,type,
    sK2968: 
      !>[X0: $tType] : ( ( fun(nat,X0) * nat * X0 ) > X0 ) ).

tff(func_def_4022,type,
    sK2969: ( nat * fun(nat,nat) ) > nat ).

tff(func_def_4023,type,
    sK2970: ( nat * fun(nat,nat) ) > nat ).

tff(func_def_4024,type,
    sK2971: fun(int,fun(int,$o)) > int ).

tff(func_def_4025,type,
    sK2972: fun(int,fun(int,$o)) > int ).

tff(func_def_4026,type,
    sK2973: 
      !>[X0: $tType] : ( ( real * fun(nat,X0) * nat ) > real ) ).

tff(func_def_4027,type,
    sK2974: 
      !>[X0: $tType] : ( ( fun(nat,X0) * fun(nat,X0) ) > nat ) ).

tff(func_def_4028,type,
    sK2975: 
      !>[X0: $tType] : ( fun(nat,X0) > nat ) ).

tff(func_def_4029,type,
    sK2976: 
      !>[X0: $tType] : ( ( nat * fun(nat,X0) ) > nat ) ).

tff(func_def_4030,type,
    sK2977: 
      !>[X0: $tType] : ( ( set(nat) * fun(nat,X0) ) > nat ) ).

tff(func_def_4031,type,
    sK2978: fun(int,fun(int,$o)) > int ).

tff(func_def_4032,type,
    sK2979: fun(int,fun(int,$o)) > int ).

tff(func_def_4033,type,
    sK2980: 
      !>[X0: $tType] : ( ( fun(int,$o) * X0 ) > int ) ).

tff(func_def_4034,type,
    sK2981: 
      !>[X0: $tType] : ( X0 > X0 ) ).

tff(func_def_4035,type,
    sK2982: 
      !>[X0: $tType] : ( ( fun(int,$o) * X0 ) > int ) ).

tff(func_def_4036,type,
    sK2983: 
      !>[X0: $tType] : ( fun(X0,fun(X0,$o)) > X0 ) ).

tff(func_def_4037,type,
    sK2984: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,X1) * X1 * X1 ) > X0 ) ).

tff(func_def_4038,type,
    sK2985: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,X1) ) > X0 ) ).

tff(func_def_4039,type,
    sK2986: ( real * real * real ) > real ).

tff(func_def_4040,type,
    sK2987: ( real * real * real ) > real ).

tff(func_def_4041,type,
    sK2988: set(int) > int ).

tff(func_def_4042,type,
    sK2989: ( set(int) * int ) > int ).

tff(func_def_4043,type,
    sK2990: set(int) > int ).

tff(func_def_4044,type,
    sK2991: ( set(int) * int ) > int ).

tff(func_def_4045,type,
    sK2992: ( fun(nat,$o) * int ) > nat ).

tff(func_def_4046,type,
    sK2993: ( fun(nat,int) * nat * nat ) > nat ).

tff(func_def_4047,type,
    sK2994: ( nat * nat * fun(nat,int) * int ) > nat ).

tff(func_def_4048,type,
    sK2995: ( nat * fun(nat,int) * int ) > nat ).

tff(func_def_4049,type,
    sK2996: ( nat * fun(nat,int) ) > nat ).

tff(func_def_4050,type,
    sK2997: ( int * int * product_prod(int,int) ) > int ).

tff(func_def_4051,type,
    sK2998: ( int * int * product_prod(int,int) ) > int ).

tff(func_def_4052,type,
    sK2999: ( int * int * product_prod(int,int) ) > int ).

tff(func_def_4053,type,
    sK3000: ( int * int * product_prod(int,int) ) > int ).

tff(func_def_4054,type,
    sK3001: ( int * int * product_prod(int,int) ) > int ).

tff(func_def_4055,type,
    sK3002: ( int * int * product_prod(int,int) ) > int ).

tff(func_def_4056,type,
    sK3003: ( int * int * product_prod(int,int) ) > int ).

tff(func_def_4057,type,
    sK3004: ( int * int * product_prod(int,int) ) > int ).

tff(func_def_4058,type,
    sK3005: ( int * int * product_prod(int,int) ) > int ).

tff(func_def_4059,type,
    sK3006: ( int * int * product_prod(int,int) ) > int ).

tff(func_def_4060,type,
    sK3007: ( int * int * product_prod(int,int) ) > int ).

tff(func_def_4061,type,
    sK3008: ( nat * fun(nat,int) * int ) > nat ).

tff(func_def_4062,type,
    sK3009: ( nat * fun(nat,int) ) > nat ).

tff(func_def_4063,type,
    sK3010: real > real ).

tff(func_def_4064,type,
    sK3011: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,X0) * fun(X1,X0) ) > X1 ) ).

tff(func_def_4065,type,
    sK3012: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_4066,type,
    sK3013: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,X0) * fun(X1,X0) ) > X1 ) ).

tff(func_def_4067,type,
    sK3014: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_4068,type,
    sK3015: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_4069,type,
    sK3016: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_4070,type,
    sK3017: 
      !>[X0: $tType] : ( X0 > nat ) ).

tff(func_def_4071,type,
    sK3018: fun(real,$o) > nat ).

tff(func_def_4072,type,
    sK3019: fun(real,$o) > real ).

tff(func_def_4073,type,
    sK3020: fun(real,$o) > real ).

tff(func_def_4074,type,
    sK3021: fun(real,$o) > nat ).

tff(func_def_4075,type,
    sK3022: fun(real,$o) > real ).

tff(func_def_4076,type,
    sK3023: fun(real,$o) > real ).

tff(func_def_4077,type,
    sK3024: real > nat ).

tff(func_def_4078,type,
    sK3025: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( fun(fun(X0,X1),X2) * X2 ) > fun(X0,X1) ) ).

tff(func_def_4079,type,
    sK3026: 
      !>[X0: $tType] : ( X0 > nat ) ).

tff(func_def_4080,type,
    sK3027: ( real * nat ) > real ).

tff(func_def_4081,type,
    sK3028: ( real * fun(real,real) * fun(nat,real) * nat ) > real ).

tff(func_def_4082,type,
    sK3029: 
      !>[X0: $tType] : ( ( set(nat) * fun(nat,X0) ) > nat ) ).

tff(func_def_4083,type,
    sK3030: ( nat * real ) > real ).

tff(func_def_4084,type,
    sK3031: ( real * nat ) > real ).

tff(func_def_4085,type,
    sK3032: real > real ).

tff(func_def_4086,type,
    sK3033: ( real * real ) > real ).

tff(func_def_4087,type,
    sK3034: ( nat * real ) > real ).

tff(func_def_4088,type,
    sK3035: ( real * nat ) > real ).

tff(func_def_4089,type,
    sK3036: real > real ).

tff(func_def_4090,type,
    sK3037: real > real ).

tff(func_def_4091,type,
    sK3038: real > real ).

tff(func_def_4092,type,
    sK3039: real > real ).

tff(func_def_4093,type,
    sK3040: real > real ).

tff(func_def_4094,type,
    sK3041: complex > real ).

tff(func_def_4095,type,
    sK3042: ( fun(nat,real) * nat ) > nat ).

tff(func_def_4096,type,
    sK3043: 
      !>[X0: $tType] : ( ( fun(nat,real) * nat * fun(nat,X0) ) > nat ) ).

tff(func_def_4097,type,
    sK3044: 
      !>[X0: $tType] : ( ( fun(nat,X0) * fun(nat,real) * nat ) > nat ) ).

tff(func_def_4098,type,
    sK3045: 
      !>[X0: $tType] : ( ( fun(nat,X0) * fun(nat,X0) ) > nat ) ).

tff(func_def_4099,type,
    sK3046: 
      !>[X0: $tType] : ( ( set(nat) * fun(nat,X0) ) > nat ) ).

tff(func_def_4100,type,
    sK3047: 
      !>[X0: $tType] : ( fun(nat,X0) > nat ) ).

tff(func_def_4101,type,
    sK3048: 
      !>[X0: $tType] : ( fun(nat,X0) > nat ) ).

tff(func_def_4102,type,
    sK3049: 
      !>[X0: $tType] : ( fun(nat,X0) > nat ) ).

tff(func_def_4103,type,
    sK3050: 
      !>[X0: $tType] : ( fun(nat,X0) > nat ) ).

tff(func_def_4104,type,
    sK3051: 
      !>[X0: $tType] : ( ( fun(nat,X0) * fun(nat,real) * nat ) > nat ) ).

tff(func_def_4105,type,
    sK3052: ( fun(nat,real) * fun(nat,real) * nat ) > nat ).

tff(func_def_4106,type,
    sK3053: 
      !>[X0: $tType] : ( fun(nat,X0) > nat ) ).

tff(func_def_4107,type,
    sK3054: 
      !>[X0: $tType] : ( fun(nat,X0) > nat ) ).

tff(func_def_4108,type,
    sK3055: 
      !>[X0: $tType] : ( fun(nat,X0) > nat ) ).

tff(func_def_4109,type,
    sK3056: 
      !>[X0: $tType] : ( ( fun(nat,X0) * X0 ) > nat ) ).

tff(func_def_4110,type,
    sK3057: 
      !>[X0: $tType] : ( ( fun(nat,X0) * X0 ) > nat ) ).

tff(func_def_4111,type,
    sK3058: 
      !>[X0: $tType] : ( fun(nat,X0) > nat ) ).

tff(func_def_4112,type,
    sK3059: 
      !>[X0: $tType] : ( ( fun(nat,X0) * X0 ) > nat ) ).

tff(func_def_4113,type,
    sK3060: 
      !>[X0: $tType] : ( fun(nat,X0) > nat ) ).

tff(func_def_4114,type,
    sK3061: 
      !>[X0: $tType] : ( ( fun(nat,X0) * set(nat) ) > nat ) ).

tff(func_def_4115,type,
    sK3062: 
      !>[X0: $tType] : ( ( fun(nat,X0) * nat ) > nat ) ).

tff(func_def_4116,type,
    sK3063: 
      !>[X0: $tType] : ( ( fun(nat,X0) * real ) > nat ) ).

tff(func_def_4117,type,
    sK3064: 
      !>[X0: $tType] : ( ( real * fun(nat,X0) ) > nat ) ).

tff(func_def_4118,type,
    sK3065: fun(nat,real) > nat ).

tff(func_def_4119,type,
    sK3066: fun(nat,real) > nat ).

tff(func_def_4120,type,
    sK3067: 
      !>[X0: $tType] : ( ( real * fun(nat,X0) * real ) > nat ) ).

tff(func_def_4121,type,
    sK3068: 
      !>[X0: $tType] : ( ( real * nat * fun(nat,X0) ) > nat ) ).

tff(func_def_4122,type,
    sK3069: 
      !>[X0: $tType] : ( ( fun(nat,X0) * nat ) > nat ) ).

tff(func_def_4123,type,
    sK3070: fun(nat,real) > nat ).

tff(func_def_4124,type,
    sK3071: ( fun(nat,real) * nat ) > nat ).

tff(func_def_4125,type,
    sK3072: ( fun(nat,real) * nat ) > nat ).

tff(func_def_4126,type,
    sK3073: ( fun(nat,real) * nat ) > nat ).

tff(func_def_4127,type,
    sK3074: 
      !>[X0: $tType] : ( ( X0 * nat ) > nat ) ).

tff(func_def_4128,type,
    sK3075: 
      !>[X0: $tType] : ( fun(nat,X0) > real ) ).

tff(func_def_4129,type,
    sK3076: 
      !>[X0: $tType] : ( ( fun(nat,X0) * nat ) > nat ) ).

tff(func_def_4130,type,
    sK3077: 
      !>[X0: $tType] : ( ( fun(nat,X0) * nat ) > nat ) ).

tff(func_def_4131,type,
    sK3078: 
      !>[X0: $tType] : ( ( fun(nat,X0) * real ) > nat ) ).

tff(func_def_4132,type,
    sK3079: 
      !>[X0: $tType] : ( fun(nat,X0) > real ) ).

tff(func_def_4133,type,
    sK3080: 
      !>[X0: $tType] : ( ( fun(nat,X0) * nat ) > nat ) ).

tff(func_def_4134,type,
    sK3081: 
      !>[X0: $tType] : ( ( fun(nat,X0) * nat ) > nat ) ).

tff(func_def_4135,type,
    sK3082: 
      !>[X0: $tType] : ( ( fun(nat,X0) * real ) > nat ) ).

tff(func_def_4136,type,
    sK3083: 
      !>[X0: $tType] : ( ( real * fun(nat,X0) ) > X0 ) ).

tff(func_def_4137,type,
    sK3084: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,X1) ) > X0 ) ).

tff(func_def_4138,type,
    sK3085: 
      !>[X0: $tType,X1: $tType] : ( ( X1 * X1 * fun(X1,X0) * fun(X1,X0) ) > X1 ) ).

tff(func_def_4139,type,
    sK3086: rat > rat ).

tff(func_def_4140,type,
    sK3087: rat > rat ).

tff(func_def_4141,type,
    sK3088: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,X0) * fun(X1,X0) ) > X1 ) ).

tff(func_def_4142,type,
    sK3089: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_4143,type,
    sK3090: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_4144,type,
    sK3091: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_4145,type,
    sK3092: ( nat * fun(nat,$o) ) > nat ).

tff(func_def_4146,type,
    sK3093: ( nat * fun(nat,$o) ) > nat ).

tff(func_def_4147,type,
    sK3094: ( nat * fun(nat,$o) ) > nat ).

tff(func_def_4148,type,
    sK3095: ( nat * fun(nat,$o) ) > nat ).

tff(func_def_4149,type,
    sK3096: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,X1) ) > X0 ) ).

tff(func_def_4150,type,
    sK3097: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_4151,type,
    sK3098: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_4152,type,
    sK3099: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,fun(X0,$o)) * set(X1) * fun(X1,X0) * fun(X1,X0) ) > X1 ) ).

tff(func_def_4153,type,
    sK3100: 
      !>[X0: $tType] : ( fun(X0,fun(X0,$o)) > X0 ) ).

tff(func_def_4154,type,
    sK3101: 
      !>[X0: $tType] : ( fun(X0,fun(X0,$o)) > X0 ) ).

tff(func_def_4155,type,
    sK3102: 
      !>[X0: $tType] : ( fun(X0,fun(X0,$o)) > X0 ) ).

tff(func_def_4156,type,
    sK3103: 
      !>[X0: $tType] : ( fun(X0,fun(X0,$o)) > X0 ) ).

tff(func_def_4157,type,
    sK3104: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,X0) * fun(X1,X0) ) > X1 ) ).

tff(func_def_4158,type,
    sK3105: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * set(X0) * fun(X1,X0) * set(X1) * set(X1) ) > X1 ) ).

tff(func_def_4159,type,
    sK3106: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * fun(X0,X1) * set(X1) * set(X1) ) > X1 ) ).

tff(func_def_4160,type,
    sK3107: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * set(X0) * fun(X1,X0) * set(X1) * set(X1) ) > X1 ) ).

tff(func_def_4161,type,
    sK3108: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * fun(X0,X1) * set(X1) * set(X1) ) > X1 ) ).

tff(func_def_4162,type,
    sK3109: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( set(X0) * fun(X0,X2) * fun(X0,X1) * fun(X2,X1) ) > X0 ) ).

tff(func_def_4163,type,
    sK3110: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_4164,type,
    sK3111: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,X1) ) > X0 ) ).

tff(func_def_4165,type,
    sK3112: 
      !>[X0: $tType,X1: $tType] : ( ( X1 * X1 * fun(X1,X0) * fun(X1,X0) ) > X1 ) ).

tff(func_def_4166,type,
    sK3113: 
      !>[X0: $tType] : ( ( list(X0) * fun(X0,nat) * fun(X0,nat) ) > X0 ) ).

tff(func_def_4167,type,
    sK3114: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_4168,type,
    sK3115: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_4169,type,
    sK3116: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,X0) * fun(X1,X0) ) > X1 ) ).

tff(func_def_4170,type,
    sK3117: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_4171,type,
    sK3118: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,X0) * fun(X1,X0) ) > X1 ) ).

tff(func_def_4172,type,
    sK3119: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_4173,type,
    sK3120: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_4174,type,
    sK3121: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_4175,type,
    sK3122: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_4176,type,
    sK3123: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_4177,type,
    sK3124: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_4178,type,
    sK3125: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_4179,type,
    sK3126: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,X0) * fun(X1,X0) ) > X1 ) ).

tff(func_def_4180,type,
    sK3127: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_4181,type,
    sK3128: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_4182,type,
    sK3129: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_4183,type,
    sK3130: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_4184,type,
    sK3131: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_4185,type,
    sK3132: 
      !>[X0: $tType] : ( fun(nat,X0) > real ) ).

tff(func_def_4186,type,
    sK3133: 
      !>[X0: $tType] : ( ( fun(nat,X0) * nat ) > nat ) ).

tff(func_def_4187,type,
    sK3134: 
      !>[X0: $tType] : ( ( fun(nat,X0) * nat ) > nat ) ).

tff(func_def_4188,type,
    sK3135: 
      !>[X0: $tType] : ( ( fun(nat,X0) * real ) > nat ) ).

tff(func_def_4189,type,
    sK3136: 
      !>[X0: $tType] : ( ( fun(nat,X0) * nat ) > nat ) ).

tff(func_def_4190,type,
    sK3137: 
      !>[X0: $tType] : ( ( fun(nat,X0) * nat ) > nat ) ).

tff(func_def_4191,type,
    sK3138: 
      !>[X0: $tType] : ( ( nat * fun(nat,X0) ) > nat ) ).

tff(func_def_4192,type,
    sK3139: 
      !>[X0: $tType] : ( ( nat * fun(nat,X0) ) > nat ) ).

tff(func_def_4193,type,
    sK3140: ( fun(nat,nat) * nat ) > nat ).

tff(func_def_4194,type,
    sK3141: ( fun(nat,nat) * nat ) > nat ).

tff(func_def_4195,type,
    sK3142: ( nat * fun(nat,nat) ) > nat ).

tff(func_def_4196,type,
    sK3143: ( nat * fun(nat,nat) ) > nat ).

tff(func_def_4197,type,
    sK3144: 
      !>[X0: $tType] : ( ( set(X0) * fun(X0,nat) ) > X0 ) ).

tff(func_def_4198,type,
    sK3145: 
      !>[X0: $tType] : ( ( set(X0) * fun(X0,nat) ) > X0 ) ).

tff(func_def_4199,type,
    sK3146: 
      !>[X0: $tType] : ( ( set(X0) * fun(X0,real) ) > X0 ) ).

tff(func_def_4200,type,
    sK3147: 
      !>[X0: $tType] : ( ( list(list(X0)) * nat ) > list(X0) ) ).

tff(func_def_4201,type,
    sK3148: 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_4202,type,
    sK3149: 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_4203,type,
    sK3150: 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_4204,type,
    sK3151: 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_4205,type,
    sK3152: product_prod(fun(code_integer,option(product_prod($o,list(code_term)))),product_prod(code_integer,code_integer)) > code_integer ).

tff(func_def_4206,type,
    sK3153: product_prod(fun(code_integer,option(product_prod($o,list(code_term)))),product_prod(code_integer,code_integer)) > code_integer ).

tff(func_def_4207,type,
    sK3154: 
      !>[X0: $tType] : ( ( set(X0) * nat ) > set(X0) ) ).

tff(func_def_4208,type,
    sK3155: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,fun(X1,$o)) * set(X1) * set(X0) ) > X0 ) ).

tff(func_def_4209,type,
    sK3156: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,fun(X1,$o)) * set(X1) * set(X0) ) > X0 ) ).

tff(func_def_4210,type,
    sK3157: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,fun(X1,$o)) * set(X1) * set(X0) ) > X1 ) ).

tff(func_def_4211,type,
    sK3158: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * set(X0) * fun(X0,fun(X1,$o)) ) > X0 ) ).

tff(func_def_4212,type,
    sK3159: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * set(X1) * fun(X0,fun(X1,$o)) * fun(X1,nat) ) > X1 ) ).

tff(func_def_4213,type,
    sK3160: 
      !>[X0: $tType] : ( ( set(X0) * nat ) > X0 ) ).

tff(func_def_4214,type,
    sK3161: 
      !>[X0: $tType] : ( ( set(X0) * nat ) > set(X0) ) ).

tff(func_def_4215,type,
    sK3162: 
      !>[X0: $tType] : ( ( set(X0) * nat ) > set(X0) ) ).

tff(func_def_4216,type,
    sK3163: 
      !>[X0: $tType] : ( ( nat * set(X0) ) > set(X0) ) ).

tff(func_def_4217,type,
    sK3164: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_4218,type,
    sK3165: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * set(X1) * fun(X0,fun(X1,$o)) * nat ) > X1 ) ).

tff(func_def_4219,type,
    sK3166: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * X0 * fun(X1,X0) ) > X1 ) ).

tff(func_def_4220,type,
    sK3167: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,X1) * X1 ) > X0 ) ).

tff(func_def_4221,type,
    sK3168: 
      !>[X0: $tType] : ( ( set(X0) * nat ) > X0 ) ).

tff(func_def_4222,type,
    sK3169: 
      !>[X0: $tType] : ( ( set(X0) * nat ) > set(X0) ) ).

tff(func_def_4223,type,
    sK3170: 
      !>[X0: $tType] : ( ( set(X0) * nat ) > X0 ) ).

tff(func_def_4224,type,
    sK3171: 
      !>[X0: $tType] : ( ( set(X0) * nat ) > set(X0) ) ).

tff(func_def_4225,type,
    sK3172: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_4226,type,
    sK3173: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_4227,type,
    sK3174: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_4228,type,
    sK3175: 
      !>[X0: $tType] : ( ( nat * set(X0) ) > X0 ) ).

tff(func_def_4229,type,
    sK3176: 
      !>[X0: $tType] : ( ( nat * set(X0) ) > set(X0) ) ).

tff(func_def_4230,type,
    sK3177: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_4231,type,
    sK3178: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_4232,type,
    sK3179: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_4233,type,
    sK3180: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_4234,type,
    sK3181: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_4235,type,
    sK3182: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,X1) * X1 ) > X0 ) ).

tff(func_def_4236,type,
    sK3183: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,X1) * X1 ) > X0 ) ).

tff(func_def_4237,type,
    sK3184: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,X1) * X1 ) > X0 ) ).

tff(func_def_4238,type,
    sK3185: 
      !>[X0: $tType] : ( set(X0) > list(X0) ) ).

tff(func_def_4239,type,
    sK3186: 
      !>[X0: $tType] : ( list(X0) > nat ) ).

tff(func_def_4240,type,
    sK3187: 
      !>[X0: $tType] : ( list(X0) > nat ) ).

tff(func_def_4241,type,
    sK3188: 
      !>[X0: $tType] : ( ( list(X0) * X0 ) > nat ) ).

tff(func_def_4242,type,
    sK3189: int > nat ).

tff(func_def_4243,type,
    sK3190: 
      !>[X0: $tType] : ( X0 > nat ) ).

tff(func_def_4244,type,
    sK3191: 
      !>[X0: $tType,X1: $tType] : ( ( product_prod(X0,X1) * list(X0) * list(X1) ) > nat ) ).

tff(func_def_4245,type,
    sK3192: 
      !>[X0: $tType] : ( ( set(X0) * fun(X0,$o) * fun(X0,$o) ) > X0 ) ).

tff(func_def_4246,type,
    sK3193: 
      !>[X0: $tType] : ( ( set(X0) * fun(X0,$o) ) > X0 ) ).

tff(func_def_4247,type,
    sK3194: ( option(nat) * vEBT_VEBT ) > nat ).

tff(func_def_4248,type,
    sK3195: ( option(nat) * vEBT_VEBT ) > list(vEBT_VEBT) ).

tff(func_def_4249,type,
    sK3196: ( option(nat) * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_4250,type,
    sK3197: ( option(nat) * vEBT_VEBT ) > $o ).

tff(func_def_4251,type,
    sK3198: ( option(nat) * vEBT_VEBT ) > $o ).

tff(func_def_4252,type,
    sK3199: ( vEBT_VEBT * option(nat) ) > nat ).

tff(func_def_4253,type,
    sK3200: ( vEBT_VEBT * option(nat) ) > nat ).

tff(func_def_4254,type,
    sK3201: ( vEBT_VEBT * option(nat) ) > nat ).

tff(func_def_4255,type,
    sK3202: ( vEBT_VEBT * option(nat) ) > list(vEBT_VEBT) ).

tff(func_def_4256,type,
    sK3203: ( vEBT_VEBT * option(nat) ) > vEBT_VEBT ).

tff(func_def_4257,type,
    sK3204: ( option(nat) * vEBT_VEBT ) > nat ).

tff(func_def_4258,type,
    sK3205: ( option(nat) * vEBT_VEBT ) > list(vEBT_VEBT) ).

tff(func_def_4259,type,
    sK3206: ( option(nat) * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_4260,type,
    sK3207: ( option(nat) * vEBT_VEBT ) > $o ).

tff(func_def_4261,type,
    sK3208: ( option(nat) * vEBT_VEBT ) > $o ).

tff(func_def_4262,type,
    sK3209: ( vEBT_VEBT * option(nat) ) > nat ).

tff(func_def_4263,type,
    sK3210: ( vEBT_VEBT * option(nat) ) > nat ).

tff(func_def_4264,type,
    sK3211: ( vEBT_VEBT * option(nat) ) > nat ).

tff(func_def_4265,type,
    sK3212: ( vEBT_VEBT * option(nat) ) > list(vEBT_VEBT) ).

tff(func_def_4266,type,
    sK3213: ( vEBT_VEBT * option(nat) ) > vEBT_VEBT ).

tff(func_def_4267,type,
    sK3214: 
      !>[X0: $tType] : ( set(set(X0)) > set(X0) ) ).

tff(func_def_4268,type,
    sK3215: 
      !>[X0: $tType] : ( set(set(X0)) > set(X0) ) ).

tff(func_def_4269,type,
    sK3216: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_4270,type,
    sK3217: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_4271,type,
    sK3218: 
      !>[X0: $tType] : ( ( X0 * set(X0) ) > X0 ) ).

tff(func_def_4272,type,
    sK3219: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_4273,type,
    sK3220: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_4274,type,
    sK3221: 
      !>[X0: $tType] : ( ( X0 * set(X0) ) > X0 ) ).

tff(func_def_4275,type,
    sK3222: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_4276,type,
    sK3223: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_4277,type,
    sK3224: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_4278,type,
    sK3225: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_4279,type,
    sK3226: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_4280,type,
    sK3227: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_4281,type,
    sK3228: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_4282,type,
    sK3229: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_4283,type,
    sK3230: 
      !>[X0: $tType] : ( ( X0 * set(X0) ) > X0 ) ).

tff(func_def_4284,type,
    sK3231: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_4285,type,
    sK3232: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_4286,type,
    sK3233: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_4287,type,
    sK3234: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_4288,type,
    sK3235: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_4289,type,
    sK3236: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_4290,type,
    sK3237: 
      !>[X0: $tType] : ( set(set(X0)) > set(X0) ) ).

tff(func_def_4291,type,
    sK3238: 
      !>[X0: $tType] : ( ( set(X0) * X0 * X0 ) > X0 ) ).

tff(func_def_4292,type,
    sK3239: 
      !>[X0: $tType] : ( ( set(X0) * X0 * X0 ) > X0 ) ).

tff(func_def_4293,type,
    sK3240: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_4294,type,
    sK3241: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_4295,type,
    sK3242: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_4296,type,
    sK3243: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_4297,type,
    sK3244: ( nat * nat ) > nat ).

tff(func_def_4298,type,
    sK3245: ( nat * nat ) > nat ).

tff(func_def_4299,type,
    sK3246: ( nat * nat ) > nat ).

tff(func_def_4300,type,
    sK3247: ( nat * nat ) > nat ).

tff(func_def_4301,type,
    sK3248: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_4302,type,
    sK3249: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_4303,type,
    sK3250: 
      !>[X0: $tType] : ( ( set(X0) * set(X0) ) > X0 ) ).

tff(func_def_4304,type,
    sK3251: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_4305,type,
    sK3252: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_4306,type,
    sK3253: 
      !>[X0: $tType] : ( ( X0 * set(X0) ) > X0 ) ).

tff(func_def_4307,type,
    sK3254: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_4308,type,
    sK3255: 
      !>[X0: $tType] : ( ( X0 * set(X0) ) > X0 ) ).

tff(func_def_4309,type,
    sK3256: 
      !>[X0: $tType] : ( ( set(X0) * set(X0) ) > X0 ) ).

tff(func_def_4310,type,
    sK3257: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_4311,type,
    sK3258: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_4312,type,
    sK3259: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_4313,type,
    sK3260: 
      !>[X0: $tType] : ( set(set(X0)) > set(X0) ) ).

tff(func_def_4314,type,
    sK3261: 
      !>[X0: $tType] : ( set(set(X0)) > set(X0) ) ).

tff(func_def_4315,type,
    sK3262: 
      !>[X0: $tType] : ( ( set(set(X0)) * set(set(X0)) ) > set(X0) ) ).

tff(func_def_4316,type,
    sK3263: 
      !>[X0: $tType] : ( ( set(set(X0)) * set(X0) ) > set(X0) ) ).

tff(func_def_4317,type,
    sK3264: 
      !>[X0: $tType] : ( ( set(set(X0)) * set(X0) ) > set(X0) ) ).

tff(func_def_4318,type,
    sK3265: 
      !>[X0: $tType] : ( ( X0 * set(X0) ) > X0 ) ).

tff(func_def_4319,type,
    sK3266: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_4320,type,
    sK3267: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_4321,type,
    sK3268: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_4322,type,
    sK3269: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_4323,type,
    sK3270: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_4324,type,
    sK3271: 
      !>[X0: $tType] : ( ( set(set(X0)) * set(X0) ) > set(X0) ) ).

tff(func_def_4325,type,
    sK3272: 
      !>[X0: $tType] : ( ( set(X0) * set(set(X0)) ) > set(set(X0)) ) ).

tff(func_def_4326,type,
    sK3273: ( $o * vEBT_VEBT ) > nat ).

tff(func_def_4327,type,
    sK3274: ( $o * vEBT_VEBT ) > list(vEBT_VEBT) ).

tff(func_def_4328,type,
    sK3275: ( $o * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_4329,type,
    sK3276: ( $o * vEBT_VEBT ) > $o ).

tff(func_def_4330,type,
    sK3277: ( $o * vEBT_VEBT ) > $o ).

tff(func_def_4331,type,
    sK3278: ( vEBT_VEBT * $o ) > product_prod(nat,nat) ).

tff(func_def_4332,type,
    sK3279: ( vEBT_VEBT * $o ) > nat ).

tff(func_def_4333,type,
    sK3280: ( vEBT_VEBT * $o ) > list(vEBT_VEBT) ).

tff(func_def_4334,type,
    sK3281: ( vEBT_VEBT * $o ) > vEBT_VEBT ).

tff(func_def_4335,type,
    sK3282: vEBT_VEBT > nat ).

tff(func_def_4336,type,
    sK3283: vEBT_VEBT > list(vEBT_VEBT) ).

tff(func_def_4337,type,
    sK3284: vEBT_VEBT > vEBT_VEBT ).

tff(func_def_4338,type,
    sK3285: 
      !>[X0: $tType] : ( ( fun(nat,fun(X0,$o)) * fun(nat,fun(X0,fun(X0,$o))) ) > fun(nat,X0) ) ).

tff(func_def_4339,type,
    sK3286: 
      !>[X0: $tType] : ( ( fun(nat,fun(X0,$o)) * fun(nat,fun(X0,fun(X0,$o))) ) > X0 ) ).

tff(func_def_4340,type,
    sK3287: 
      !>[X0: $tType] : ( ( fun(nat,fun(X0,$o)) * fun(nat,fun(X0,fun(X0,$o))) ) > nat ) ).

tff(func_def_4341,type,
    sK3288: vEBT_VEBT > product_prod(nat,nat) ).

tff(func_def_4342,type,
    sK3289: vEBT_VEBT > nat ).

tff(func_def_4343,type,
    sK3290: vEBT_VEBT > list(vEBT_VEBT) ).

tff(func_def_4344,type,
    sK3291: vEBT_VEBT > vEBT_VEBT ).

tff(func_def_4345,type,
    sK3292: vEBT_VEBT > $o ).

tff(func_def_4346,type,
    sK3293: vEBT_VEBT > $o ).

tff(func_def_4347,type,
    sK3294: 
      !>[X0: $tType] : ( set(set(X0)) > set(X0) ) ).

tff(func_def_4348,type,
    sK3295: 
      !>[X0: $tType] : ( set(set(X0)) > set(X0) ) ).

tff(func_def_4349,type,
    sK3296: 
      !>[X0: $tType] : ( ( set(set(X0)) * nat ) > set(X0) ) ).

tff(func_def_4350,type,
    sK3297: set(nat) > fun(nat,nat) ).

tff(func_def_4351,type,
    sK3298: 
      !>[X0: $tType] : ( ( set(X0) * set(X0) ) > X0 ) ).

tff(func_def_4352,type,
    sK3299: 
      !>[X0: $tType] : ( ( set(X0) * set(X0) ) > X0 ) ).

tff(func_def_4353,type,
    sK3300: 
      !>[X0: $tType] : ( ( set(X0) * set(X0) ) > X0 ) ).

tff(func_def_4354,type,
    sK3301: 
      !>[X0: $tType] : ( ( set(X0) * set(X0) ) > X0 ) ).

tff(func_def_4355,type,
    sK3302: 
      !>[X0: $tType] : ( ( set(X0) * fun(X0,$o) * fun(X0,$o) ) > X0 ) ).

tff(func_def_4356,type,
    sK3303: 
      !>[X0: $tType] : ( fun(X0,fun(X0,X0)) > X0 ) ).

tff(func_def_4357,type,
    sK3304: 
      !>[X0: $tType] : ( fun(X0,fun(X0,X0)) > X0 ) ).

tff(func_def_4358,type,
    sK3305: 
      !>[X0: $tType] : ( fun(X0,fun(X0,X0)) > X0 ) ).

tff(func_def_4359,type,
    sK3306: 
      !>[X0: $tType] : ( fun(X0,fun(X0,X0)) > X0 ) ).

tff(func_def_4360,type,
    sK3307: 
      !>[X0: $tType] : ( fun(X0,fun(X0,X0)) > X0 ) ).

tff(func_def_4361,type,
    sK3308: 
      !>[X0: $tType] : ( fun(X0,fun(X0,X0)) > X0 ) ).

tff(func_def_4362,type,
    sK3309: 
      !>[X0: $tType] : ( fun(X0,fun(X0,X0)) > X0 ) ).

tff(func_def_4363,type,
    sK3310: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_4364,type,
    sK3311: 
      !>[X0: $tType] : ( ( set(set(X0)) * set(X0) ) > set(X0) ) ).

tff(func_def_4365,type,
    sK3312: 
      !>[X0: $tType,X1: $tType] : ( fun(X1,X0) > X1 ) ).

tff(func_def_4366,type,
    sK3313: 
      !>[X0: $tType,X1: $tType] : ( fun(X1,X0) > X1 ) ).

tff(func_def_4367,type,
    sK3314: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_4368,type,
    sK3315: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_4369,type,
    sK3316: 
      !>[X0: $tType] : ( ( set(X0) * set(set(X0)) ) > set(X0) ) ).

tff(func_def_4370,type,
    sK3317: 
      !>[X0: $tType] : ( ( set(X0) * set(set(X0)) ) > set(X0) ) ).

tff(func_def_4371,type,
    sK3318: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * set(X1) * fun(X1,X0) * fun(X1,X0) ) > X1 ) ).

tff(func_def_4372,type,
    sK3319: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_4373,type,
    sK3320: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_4374,type,
    sK3321: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * set(X1) * fun(X1,X0) * fun(X1,X0) ) > X1 ) ).

tff(func_def_4375,type,
    sK3322: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_4376,type,
    sK3323: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_4377,type,
    sK3324: 
      !>[X0: $tType] : ( set(set(X0)) > set(X0) ) ).

tff(func_def_4378,type,
    sK3325: 
      !>[X0: $tType] : ( set(set(X0)) > set(X0) ) ).

tff(func_def_4379,type,
    sK3326: 
      !>[X0: $tType] : ( ( set(set(X0)) * nat ) > set(X0) ) ).

tff(func_def_4380,type,
    sK3327: 
      !>[X0: $tType] : ( list(list(X0)) > list(X0) ) ).

tff(func_def_4381,type,
    sK3328: 
      !>[X0: $tType] : ( list(list(X0)) > list(X0) ) ).

tff(func_def_4382,type,
    sK3329: 
      !>[X0: $tType] : ( list(list(X0)) > list(X0) ) ).

tff(func_def_4383,type,
    sK3330: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * set(X1) ) > X1 ) ).

tff(func_def_4384,type,
    sK3331: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * set(X1) ) > X1 ) ).

tff(func_def_4385,type,
    sK3332: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_4386,type,
    sK3333: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_4387,type,
    sK3334: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * set(set(X1)) ) > set(X1) ) ).

tff(func_def_4388,type,
    sK3335: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * set(set(X1)) ) > set(X1) ) ).

tff(func_def_4389,type,
    sK3336: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * set(set(X1)) ) > X1 ) ).

tff(func_def_4390,type,
    sK3337: 
      !>[X0: $tType] : ( set(set(X0)) > set(X0) ) ).

tff(func_def_4391,type,
    sK3338: 
      !>[X0: $tType] : ( set(set(X0)) > set(X0) ) ).

tff(func_def_4392,type,
    sK3339: 
      !>[X0: $tType] : ( set(set(X0)) > set(X0) ) ).

tff(func_def_4393,type,
    sK3340: 
      !>[X0: $tType] : ( set(set(X0)) > set(X0) ) ).

tff(func_def_4394,type,
    sK3341: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * set(set(X1)) ) > set(X1) ) ).

tff(func_def_4395,type,
    sK3342: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * set(set(X1)) ) > set(X1) ) ).

tff(func_def_4396,type,
    sK3343: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * set(set(X1)) ) > X1 ) ).

tff(func_def_4397,type,
    sK3344: 
      !>[X0: $tType] : ( set(set(X0)) > set(X0) ) ).

tff(func_def_4398,type,
    sK3345: 
      !>[X0: $tType] : ( set(set(X0)) > set(X0) ) ).

tff(func_def_4399,type,
    sK3346: 
      !>[X0: $tType] : ( set(set(X0)) > set(X0) ) ).

tff(func_def_4400,type,
    sK3347: 
      !>[X0: $tType] : ( set(set(X0)) > set(X0) ) ).

tff(func_def_4401,type,
    sK3348: 
      !>[X0: $tType] : ( list(list(X0)) > list(X0) ) ).

tff(func_def_4402,type,
    sK3349: ( fun(real,$o) * nat * real ) > real ).

tff(func_def_4403,type,
    sK3350: 
      !>[X0: $tType] : ( ( nat * fun(X0,fun(X0,$o)) * fun(nat,X0) ) > nat ) ).

tff(func_def_4404,type,
    sK3351: 
      !>[X0: $tType] : ( ( nat * fun(X0,fun(X0,$o)) * X0 * X0 ) > fun(nat,X0) ) ).

tff(func_def_4405,type,
    sK3352: 
      !>[X0: $tType] : ( ( nat * fun(X0,fun(X0,$o)) * X0 * X0 ) > X0 ) ).

tff(func_def_4406,type,
    sK3353: 
      !>[X0: $tType] : ( ( nat * fun(X0,fun(X0,$o)) * X0 * X0 ) > nat ) ).

tff(func_def_4407,type,
    sK3354: 
      !>[X0: $tType] : ( ( nat * fun(X0,fun(X0,$o)) * X0 * X0 ) > X0 ) ).

tff(func_def_4408,type,
    sK3355: 
      !>[X0: $tType] : ( ( nat * fun(X0,fun(X0,$o)) * X0 * X0 ) > nat ) ).

tff(func_def_4409,type,
    sK3356: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( product_prod(X1,X2) * fun(X0,X1) * product_prod(X0,X2) ) > X0 ) ).

tff(func_def_4410,type,
    sK3357: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( product_prod(X1,X2) * fun(X0,X1) * product_prod(X0,X2) ) > X2 ) ).

tff(func_def_4411,type,
    sK3358: 
      !>[X0: $tType] : ( list(list(X0)) > list(X0) ) ).

tff(func_def_4412,type,
    sK3359: 
      !>[X0: $tType] : ( list(list(X0)) > list(X0) ) ).

tff(func_def_4413,type,
    sK3360: 
      !>[X0: $tType] : ( list(list(X0)) > list(X0) ) ).

tff(func_def_4414,type,
    sK3361: 
      !>[X0: $tType,X1: $tType] : ( ( X1 * product_prod(X0,X1) ) > X0 ) ).

tff(func_def_4415,type,
    sK3362: 
      !>[X0: $tType] : ( list(list(X0)) > list(X0) ) ).

tff(func_def_4416,type,
    sK3363: 
      !>[X0: $tType] : ( list(list(X0)) > list(X0) ) ).

tff(func_def_4417,type,
    sK3364: 
      !>[X0: $tType,X1: $tType] : ( ( X0 * product_prod(X0,X1) ) > X1 ) ).

tff(func_def_4418,type,
    sK3365: int > nat ).

tff(func_def_4419,type,
    sK3366: int > nat ).

tff(func_def_4420,type,
    sK3367: set(nat) > nat ).

tff(func_def_4421,type,
    sK3368: set(nat) > nat ).

tff(func_def_4422,type,
    sK3369: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,X0) * fun(X1,X0) ) > X1 ) ).

tff(func_def_4423,type,
    sK3370: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_4424,type,
    sK3371: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,X0) * fun(X1,X0) ) > X1 ) ).

tff(func_def_4425,type,
    sK3372: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_4426,type,
    sK3373: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_4427,type,
    sK3374: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_4428,type,
    sK3375: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * set(X0) ) > X0 ) ).

tff(func_def_4429,type,
    sK3376: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * set(X0) ) > X0 ) ).

tff(func_def_4430,type,
    sK3377: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * set(X0) ) > X1 ) ).

tff(func_def_4431,type,
    sK3378: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * set(X0) * X1 ) > X0 ) ).

tff(func_def_4432,type,
    sK3379: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_4433,type,
    sK3380: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,X1) * set(X1) ) > X0 ) ).

tff(func_def_4434,type,
    sK3381: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X1,X0) * set(X1) ) > set(X1) ) ).

tff(func_def_4435,type,
    sK3382: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * set(X0) * set(X1) ) > X0 ) ).

tff(func_def_4436,type,
    sK3383: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X1,X0) * set(X1) ) > set(X1) ) ).

tff(func_def_4437,type,
    sK3384: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * set(X1) * fun(set(X0),$o) ) > set(X1) ) ).

tff(func_def_4438,type,
    sK3385: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * set(X1) * fun(set(X0),$o) ) > set(X0) ) ).

tff(func_def_4439,type,
    sK3386: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * set(X1) * fun(X0,$o) ) > X0 ) ).

tff(func_def_4440,type,
    sK3387: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,X0) * fun(X1,X0) ) > X1 ) ).

tff(func_def_4441,type,
    sK3388: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * set(X1) * fun(X0,$o) ) > X1 ) ).

tff(func_def_4442,type,
    sK3389: 
      !>[X0: $tType,X1: $tType] : ( ( X0 * fun(X1,X0) * set(X1) ) > X1 ) ).

tff(func_def_4443,type,
    sK3390: 
      !>[X0: $tType,X1: $tType] : ( ( X0 * fun(X1,X0) * set(X1) ) > X1 ) ).

tff(func_def_4444,type,
    sK3391: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,$o) * fun(X0,X1) * set(X1) ) > X0 ) ).

tff(func_def_4445,type,
    sK3392: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( set(X0) * set(X2) * fun(X0,X1) * fun(X2,X1) ) > X2 ) ).

tff(func_def_4446,type,
    sK3393: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( set(X0) * set(X2) * fun(X0,X1) * fun(X2,X1) ) > X0 ) ).

tff(func_def_4447,type,
    sK3394: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( set(X0) * set(X2) * fun(X2,X1) * fun(X0,X1) ) > X2 ) ).

tff(func_def_4448,type,
    sK3395: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( set(X0) * set(X2) * fun(X2,X1) * fun(X0,X1) ) > X0 ) ).

tff(func_def_4449,type,
    sK3396: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * set(X1) * fun(set(X0),$o) ) > set(X1) ) ).

tff(func_def_4450,type,
    sK3397: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * set(X1) * fun(set(X0),$o) ) > set(X0) ) ).

tff(func_def_4451,type,
    sK3398: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * set(X1) * fun(set(X0),$o) ) > set(X0) ) ).

tff(func_def_4452,type,
    sK3399: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * set(X1) * fun(set(X0),$o) ) > set(X1) ) ).

tff(func_def_4453,type,
    sK3400: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X1,X0) * set(X1) ) > set(X1) ) ).

tff(func_def_4454,type,
    sK3401: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,X1) * X1 ) > X0 ) ).

tff(func_def_4455,type,
    sK3402: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,X1) * X1 ) > X0 ) ).

tff(func_def_4456,type,
    sK3403: fun(rat,$o) > int ).

tff(func_def_4457,type,
    sK3404: fun(rat,$o) > int ).

tff(func_def_4458,type,
    sK3405: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * set(X0) * X1 ) > X0 ) ).

tff(func_def_4459,type,
    sK3406: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * fun(X1,X0) ) > X1 ) ).

tff(func_def_4460,type,
    sK3407: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,X1) * X1 ) > X0 ) ).

tff(func_def_4461,type,
    sK3408: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( set(X0) * set(X2) * fun(X0,X1) * fun(X2,X1) ) > X0 ) ).

tff(func_def_4462,type,
    sK3409: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,X1) * X1 ) > X1 ) ).

tff(func_def_4463,type,
    sK3410: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,X1) * X1 ) > X0 ) ).

tff(func_def_4464,type,
    sK3411: 
      !>[X0: $tType,X1: $tType] : ( ( X0 * fun(X1,X0) * set(X1) ) > X1 ) ).

tff(func_def_4465,type,
    sK3412: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * X0 * fun(X1,X0) ) > X1 ) ).

tff(func_def_4466,type,
    sK3413: 
      !>[X0: $tType,X1: $tType] : ( ( X0 * fun(X1,X0) * set(X1) ) > X1 ) ).

tff(func_def_4467,type,
    sK3414: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * fun(X1,X0) ) > X1 ) ).

tff(func_def_4468,type,
    sK3415: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( set(X2) * set(X0) * fun(X0,X1) * fun(X2,X1) ) > X2 ) ).

tff(func_def_4469,type,
    sK3416: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * X1 * fun(X0,X1) ) > X1 ) ).

tff(func_def_4470,type,
    sK3417: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * X1 * fun(X0,X1) ) > X0 ) ).

tff(func_def_4471,type,
    sK3418: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * set(X0) * X1 ) > X0 ) ).

tff(func_def_4472,type,
    sK3419: 
      !>[X0: $tType] : ( set(X0) > nat ) ).

tff(func_def_4473,type,
    sK3420: 
      !>[X0: $tType] : ( set(X0) > fun(nat,X0) ) ).

tff(func_def_4474,type,
    sK3421: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,X0) * X1 ) > X1 ) ).

tff(func_def_4475,type,
    sK3422: 
      !>[X0: $tType,X1: $tType] : ( ( X0 * fun(X1,X0) * set(X1) ) > X0 ) ).

tff(func_def_4476,type,
    sK3423: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * set(X1) * X0 ) > X1 ) ).

tff(func_def_4477,type,
    sK3424: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * set(X0) * X1 ) > X1 ) ).

tff(func_def_4478,type,
    sK3425: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * set(X0) * X1 ) > X0 ) ).

tff(func_def_4479,type,
    sK3426: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * X1 * fun(X0,X1) ) > X0 ) ).

tff(func_def_4480,type,
    sK3427: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * X1 * fun(X0,X1) ) > X0 ) ).

tff(func_def_4481,type,
    sK3428: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,X1) * X1 ) > X0 ) ).

tff(func_def_4482,type,
    sK3429: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,X1) * X1 ) > X0 ) ).

tff(func_def_4483,type,
    sK3430: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,X1) * X1 ) > X0 ) ).

tff(func_def_4484,type,
    sK3431: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * X0 * fun(X1,X0) ) > X1 ) ).

tff(func_def_4485,type,
    sK3432: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,X0) * fun(X1,X0) ) > X1 ) ).

tff(func_def_4486,type,
    sK3433: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,X0) * fun(X1,X0) ) > X1 ) ).

tff(func_def_4487,type,
    sK3434: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( set(X2) * fun(X2,X0) * fun(X0,X1) ) > X2 ) ).

tff(func_def_4488,type,
    sK3435: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( set(X2) * fun(X2,X0) * fun(X0,X1) ) > X2 ) ).

tff(func_def_4489,type,
    sK3436: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( set(X2) * fun(X2,X0) * fun(X0,X1) ) > X2 ) ).

tff(func_def_4490,type,
    sK3437: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( set(X2) * fun(X2,X0) * fun(X0,X1) ) > X2 ) ).

tff(func_def_4491,type,
    sK3438: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( set(X2) * fun(X0,X1) * fun(X2,X0) ) > X2 ) ).

tff(func_def_4492,type,
    sK3439: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,set(X0)) ) > X1 ) ).

tff(func_def_4493,type,
    sK3440: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,set(X0)) ) > X1 ) ).

tff(func_def_4494,type,
    sK3441: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,filter(X1)) ) > set(X0) ) ).

tff(func_def_4495,type,
    sK3442: set(int) > int ).

tff(func_def_4496,type,
    sK3443: set(int) > int ).

tff(func_def_4497,type,
    sK3444: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,set(X1)) * set(X0) ) > X0 ) ).

tff(func_def_4498,type,
    sK3445: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,set(X1)) * set(X0) ) > X0 ) ).

tff(func_def_4499,type,
    sK3446: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,set(X0)) * fun(X1,set(X0)) ) > X1 ) ).

tff(func_def_4500,type,
    sK3447: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,set(X1)) * set(X1) ) > X0 ) ).

tff(func_def_4501,type,
    sK3448: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,set(X1)) * set(X0) * set(X1) ) > X0 ) ).

tff(func_def_4502,type,
    sK3449: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * set(X0) * fun(X1,set(X0)) ) > X1 ) ).

tff(func_def_4503,type,
    sK3450: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,set(X0)) * fun(X1,set(X0)) ) > X1 ) ).

tff(func_def_4504,type,
    sK3451: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X1,set(X0)) * set(X1) ) > X1 ) ).

tff(func_def_4505,type,
    sK3452: 
      !>[X0: $tType] : ( ( set(set(X0)) * X0 ) > set(X0) ) ).

tff(func_def_4506,type,
    sK3453: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,set(X0)) ) > X1 ) ).

tff(func_def_4507,type,
    sK3454: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,set(X0)) ) > X1 ) ).

tff(func_def_4508,type,
    sK3455: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,set(X0)) ) > X1 ) ).

tff(func_def_4509,type,
    sK3456: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,set(X0)) ) > X1 ) ).

tff(func_def_4510,type,
    sK3457: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,set(X0)) ) > X1 ) ).

tff(func_def_4511,type,
    sK3458: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,set(X0)) ) > X1 ) ).

tff(func_def_4512,type,
    sK3459: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,set(X0)) ) > X1 ) ).

tff(func_def_4513,type,
    sK3460: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,set(X0)) ) > X1 ) ).

tff(func_def_4514,type,
    sK3461: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,set(X0)) ) > X1 ) ).

tff(func_def_4515,type,
    sK3462: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,filter(X1)) ) > X0 ) ).

tff(func_def_4516,type,
    sK3463: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,filter(X1)) ) > X0 ) ).

tff(func_def_4517,type,
    sK3464: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,filter(X1)) ) > X0 ) ).

tff(func_def_4518,type,
    sK3465: 
      !>[X0: $tType] : ( set(filter(X0)) > set(filter(X0)) ) ).

tff(func_def_4519,type,
    sK3466: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,fun(X0,X0)) ) > X1 ) ).

tff(func_def_4520,type,
    sK3467: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,fun(X0,X0)) ) > X1 ) ).

tff(func_def_4521,type,
    sK3468: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,fun(X0,X0)) ) > X1 ) ).

tff(func_def_4522,type,
    sK3469: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,fun(X0,X0)) ) > X1 ) ).

tff(func_def_4523,type,
    sK3470: 
      !>[X0: $tType] : ( ( fun(nat,set(X0)) * nat ) > nat ) ).

tff(func_def_4524,type,
    sK3471: 
      !>[X0: $tType] : ( ( fun(nat,set(X0)) * nat ) > nat ) ).

tff(func_def_4525,type,
    sK3472: 
      !>[X0: $tType] : ( ( fun(nat,set(X0)) * nat ) > nat ) ).

tff(func_def_4526,type,
    sK3473: 
      !>[X0: $tType] : ( ( fun(nat,set(X0)) * set(X0) ) > nat ) ).

tff(func_def_4527,type,
    sK3474: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_4528,type,
    sK3475: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_4529,type,
    sK3476: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * set(X1) ) > X0 ) ).

tff(func_def_4530,type,
    sK3477: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * set(X1) * X0 ) > X1 ) ).

tff(func_def_4531,type,
    sK3478: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_4532,type,
    sK3479: 
      !>[X0: $tType] : X0 ).

tff(func_def_4533,type,
    sK3480: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_4534,type,
    sK3481: 
      !>[X0: $tType] : ( ( product_prod(X0,X0) * set(X0) ) > X0 ) ).

tff(func_def_4535,type,
    sK3482: 
      !>[X0: $tType,X1: $tType] : ( ( X0 * fun(X1,X0) ) > X1 ) ).

tff(func_def_4536,type,
    sK3483: 
      !>[X0: $tType] : ( ( fun(nat,set(X0)) * set(X0) ) > nat ) ).

tff(func_def_4537,type,
    sK3484: 
      !>[X0: $tType] : ( ( fun(nat,set(X0)) * fun(nat,set(X0)) * nat ) > nat ) ).

tff(func_def_4538,type,
    sK3485: 
      !>[X0: $tType] : ( ( fun(nat,set(X0)) * fun(nat,set(X0)) * nat ) > nat ) ).

tff(func_def_4539,type,
    sK3486: ( fun(real,real) * real * set(real) ) > real ).

tff(func_def_4540,type,
    sK3487: ( fun(real,real) * real * set(real) ) > real ).

tff(func_def_4541,type,
    sK3488: ( fun(real,real) * real * set(real) ) > real ).

tff(func_def_4542,type,
    sK3489: ( fun(real,real) * real * set(real) ) > real ).

tff(func_def_4543,type,
    sK3490: ( real * real * fun(real,real) ) > real ).

tff(func_def_4544,type,
    sK3491: ( real * real * fun(real,real) ) > real ).

tff(func_def_4545,type,
    sK3492: ( fun(real,real) * real ) > real ).

tff(func_def_4546,type,
    sK3493: ( fun(real,real) * real ) > real ).

tff(func_def_4547,type,
    sK3494: ( fun(real,real) * real ) > real ).

tff(func_def_4548,type,
    sK3495: ( fun(real,real) * real ) > real ).

tff(func_def_4549,type,
    sK3496: ( fun(real,real) * fun(real,real) * real * real ) > real ).

tff(func_def_4550,type,
    sK3497: ( real * real * fun(real,real) * fun(real,real) ) > real ).

tff(func_def_4551,type,
    sK3498: ( fun(real,real) * real * real ) > real ).

tff(func_def_4552,type,
    sK3499: ( fun(real,real) * real * real ) > real ).

tff(func_def_4553,type,
    sK3500: ( fun(real,real) * real * real ) > real ).

tff(func_def_4554,type,
    sK3501: 
      !>[X0: $tType] : ( ( real * fun(nat,X0) * fun(X0,X0) ) > X0 ) ).

tff(func_def_4555,type,
    sK3502: 
      !>[X0: $tType] : ( ( real * fun(nat,X0) ) > X0 ) ).

tff(func_def_4556,type,
    sK3503: ( fun(nat,fun(real,real)) * fun(real,real) * real * nat ) > real ).

tff(func_def_4557,type,
    sK3504: fun(nat,fun(real,real)) > nat ).

tff(func_def_4558,type,
    sK3505: fun(nat,fun(real,real)) > real ).

tff(func_def_4559,type,
    sK3506: ( fun(nat,fun(real,real)) * fun(real,real) * real * nat ) > real ).

tff(func_def_4560,type,
    sK3507: fun(nat,fun(real,real)) > nat ).

tff(func_def_4561,type,
    sK3508: fun(nat,fun(real,real)) > real ).

tff(func_def_4562,type,
    sK3509: ( fun(nat,fun(real,real)) * nat * real ) > nat ).

tff(func_def_4563,type,
    sK3510: ( fun(nat,fun(real,real)) * nat * real ) > real ).

tff(func_def_4564,type,
    sK3511: ( real * nat * fun(nat,fun(real,real)) * fun(real,real) ) > real ).

tff(func_def_4565,type,
    sK3512: ( fun(nat,fun(real,real)) * nat * real ) > nat ).

tff(func_def_4566,type,
    sK3513: ( fun(nat,fun(real,real)) * nat * real ) > real ).

tff(func_def_4567,type,
    sK3514: ( real * fun(nat,fun(real,real)) * fun(real,real) * nat ) > real ).

tff(func_def_4568,type,
    sK3515: ( fun(nat,fun(real,real)) * nat * real ) > nat ).

tff(func_def_4569,type,
    sK3516: ( fun(nat,fun(real,real)) * nat * real ) > real ).

tff(func_def_4570,type,
    sK3517: ( real * nat * fun(nat,fun(real,real)) * fun(real,real) ) > real ).

tff(func_def_4571,type,
    sK3518: ( fun(nat,fun(real,real)) * fun(real,real) * nat * real ) > real ).

tff(func_def_4572,type,
    sK3519: fun(nat,fun(real,real)) > nat ).

tff(func_def_4573,type,
    sK3520: fun(nat,fun(real,real)) > real ).

tff(func_def_4574,type,
    sK3521: ( fun(nat,fun(real,real)) * fun(real,real) * nat * real ) > real ).

tff(func_def_4575,type,
    sK3522: ( fun(nat,fun(real,real)) * nat * real ) > nat ).

tff(func_def_4576,type,
    sK3523: ( fun(nat,fun(real,real)) * nat * real ) > real ).

tff(func_def_4577,type,
    sK3524: ( fun(nat,fun(real,real)) * nat * real * real ) > nat ).

tff(func_def_4578,type,
    sK3525: ( fun(nat,fun(real,real)) * nat * real * real ) > real ).

tff(func_def_4579,type,
    sK3526: ( nat * fun(nat,fun(real,real)) * fun(real,real) * real * real ) > real ).

tff(func_def_4580,type,
    sK3527: ( fun(nat,fun(real,real)) * nat * real * real ) > nat ).

tff(func_def_4581,type,
    sK3528: ( fun(nat,fun(real,real)) * nat * real * real ) > real ).

tff(func_def_4582,type,
    sK3529: ( nat * fun(nat,fun(real,real)) * fun(real,real) * real * real ) > real ).

tff(func_def_4583,type,
    sK3530: ( nat * fun(nat,fun(real,real)) * fun(real,real) * real * real ) > real ).

tff(func_def_4584,type,
    sK3531: ( nat * fun(nat,fun(real,real)) * real * real ) > nat ).

tff(func_def_4585,type,
    sK3532: ( nat * fun(nat,fun(real,real)) * real * real ) > real ).

tff(func_def_4586,type,
    sK3533: ( nat * real * fun(nat,fun(real,real)) ) > nat ).

tff(func_def_4587,type,
    sK3534: ( nat * real * fun(nat,fun(real,real)) ) > real ).

tff(func_def_4588,type,
    sK3535: ( real * fun(nat,real) ) > real ).

tff(func_def_4589,type,
    sK3536: ( real * real * fun(real,real) ) > real ).

tff(func_def_4590,type,
    sK3537: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( set(X1) * fun(X2,fun(X1,X0)) * filter(X2) ) > X1 ) ).

tff(func_def_4591,type,
    sK3538: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * X0 * X1 * real ) > real ) ).

tff(func_def_4592,type,
    sK3539: 
      !>[X0: $tType,X1: $tType] : ( ( X1 * fun(X1,X0) * X0 ) > real ) ).

tff(func_def_4593,type,
    sK3540: 
      !>[X0: $tType,X1: $tType] : ( ( X1 * fun(X1,X0) * X0 * real ) > X1 ) ).

tff(func_def_4594,type,
    sK3541: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * X0 * X1 ) > real ) ).

tff(func_def_4595,type,
    sK3542: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * X0 * X1 * real ) > X1 ) ).

tff(func_def_4596,type,
    sK3543: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * X0 * X1 * real ) > real ) ).

tff(func_def_4597,type,
    sK3544: 
      !>[X0: $tType,X1: $tType] : ( ( real * X1 * fun(X1,X0) * fun(X1,X0) ) > X1 ) ).

tff(func_def_4598,type,
    sK3545: ( fun(real,real) * real ) > real ).

tff(func_def_4599,type,
    sK3546: ( fun(real,real) * real ) > real ).

tff(func_def_4600,type,
    sK3547: ( fun(real,real) * real ) > real ).

tff(func_def_4601,type,
    sK3548: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * X0 * X1 * real ) > X1 ) ).

tff(func_def_4602,type,
    sK3549: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,X1) * fun(X0,fun(X0,X1)) ) > X0 ) ).

tff(func_def_4603,type,
    sK3550: 
      !>[X0: $tType,X1: $tType] : ( ( real * fun(X1,X0) * real ) > X1 ) ).

tff(func_def_4604,type,
    sK3551: 
      !>[X0: $tType] : ( ( real * fun(nat,X0) * fun(X0,X0) ) > X0 ) ).

tff(func_def_4605,type,
    sK3552: 
      !>[X0: $tType] : ( ( real * fun(nat,X0) * fun(X0,X0) ) > X0 ) ).

tff(func_def_4606,type,
    sK3553: 
      !>[X0: $tType,X1: $tType] : ( ( real * fun(nat,real) * fun(X1,fun(nat,X0)) ) > X1 ) ).

tff(func_def_4607,type,
    sK3554: 
      !>[X0: $tType,X1: $tType] : ( ( real * fun(nat,real) * fun(X1,fun(nat,X0)) ) > nat ) ).

tff(func_def_4608,type,
    sK3555: 
      !>[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_4609,type,
    sK3556: 
      !>[X0: $tType] : ( X0 > fun(nat,X0) ) ).

tff(func_def_4610,type,
    sK3557: 
      !>[X0: $tType] : ( X0 > fun(nat,X0) ) ).

tff(func_def_4611,type,
    sK3558: 
      !>[X0: $tType] : ( ( nat * fun(nat,X0) * fun(nat,X0) ) > nat ) ).

tff(func_def_4612,type,
    sK3559: 
      !>[X0: $tType] : ( ( fun(nat,X0) * fun(nat,X0) * nat ) > nat ) ).

tff(func_def_4613,type,
    sK3560: 
      !>[X0: $tType] : ( ( fun(nat,X0) * nat * X0 ) > nat ) ).

tff(func_def_4614,type,
    sK3561: 
      !>[X0: $tType] : ( ( fun(nat,X0) * nat * X0 ) > nat ) ).

tff(func_def_4615,type,
    sK3562: 
      !>[X0: $tType] : ( ( fun(nat,X0) * X0 * nat ) > nat ) ).

tff(func_def_4616,type,
    sK3563: 
      !>[X0: $tType] : ( ( fun(nat,X0) * X0 * nat ) > nat ) ).

tff(func_def_4617,type,
    sK3564: 
      !>[X0: $tType] : ( ( fun(nat,X0) * set(X0) ) > nat ) ).

tff(func_def_4618,type,
    sK3565: 
      !>[X0: $tType] : ( ( fun(nat,X0) * set(X0) ) > nat ) ).

tff(func_def_4619,type,
    sK3566: 
      !>[X0: $tType] : ( set(X0) > fun(nat,X0) ) ).

tff(func_def_4620,type,
    sK3567: 
      !>[X0: $tType] : ( fun(nat,X0) > nat ) ).

tff(func_def_4621,type,
    sK3568: 
      !>[X0: $tType] : ( fun(nat,X0) > nat ) ).

tff(func_def_4622,type,
    sK3569: 
      !>[X0: $tType] : ( fun(nat,X0) > nat ) ).

tff(func_def_4623,type,
    sK3570: 
      !>[X0: $tType] : ( fun(nat,X0) > nat ) ).

tff(func_def_4624,type,
    sK3571: 
      !>[X0: $tType] : ( fun(nat,X0) > nat ) ).

tff(func_def_4625,type,
    sK3572: 
      !>[X0: $tType] : ( fun(nat,X0) > nat ) ).

tff(func_def_4626,type,
    sK3573: 
      !>[X0: $tType] : ( fun(nat,X0) > nat ) ).

tff(func_def_4627,type,
    sK3574: 
      !>[X0: $tType] : ( fun(nat,X0) > nat ) ).

tff(func_def_4628,type,
    sK3575: 
      !>[X0: $tType] : ( fun(nat,X0) > nat ) ).

tff(func_def_4629,type,
    sK3576: 
      !>[X0: $tType] : ( fun(nat,X0) > nat ) ).

tff(func_def_4630,type,
    sK3577: 
      !>[X0: $tType] : ( fun(nat,X0) > nat ) ).

tff(func_def_4631,type,
    sK3578: 
      !>[X0: $tType] : ( fun(nat,X0) > nat ) ).

tff(func_def_4632,type,
    sK3579: fun(nat,real) > real ).

tff(func_def_4633,type,
    sK3580: ( fun(nat,real) * nat ) > nat ).

tff(func_def_4634,type,
    sK3581: 
      !>[X0: $tType,X1: $tType] : ( fun(X1,X0) > real ) ).

tff(func_def_4635,type,
    sK3582: ( fun(nat,real) * real ) > real ).

tff(func_def_4636,type,
    sK3583: ( fun(nat,real) * real ) > nat ).

tff(func_def_4637,type,
    sK3584: fun(nat,real) > nat ).

tff(func_def_4638,type,
    sK3585: 
      !>[X0: $tType] : ( ( fun(nat,X0) * X0 * real ) > nat ) ).

tff(func_def_4639,type,
    sK3586: 
      !>[X0: $tType] : ( ( fun(nat,X0) * X0 ) > real ) ).

tff(func_def_4640,type,
    sK3587: 
      !>[X0: $tType] : ( ( fun(nat,X0) * X0 * nat ) > nat ) ).

tff(func_def_4641,type,
    sK3588: 
      !>[X0: $tType] : ( ( fun(nat,X0) * X0 ) > real ) ).

tff(func_def_4642,type,
    sK3589: 
      !>[X0: $tType] : ( ( fun(nat,X0) * X0 * nat ) > nat ) ).

tff(func_def_4643,type,
    sK3590: 
      !>[X0: $tType] : ( ( fun(nat,X0) * X0 * real ) > nat ) ).

tff(func_def_4644,type,
    sK3591: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * X0 * X1 * set(X1) ) > fun(nat,X1) ) ).

tff(func_def_4645,type,
    sK3592: 
      !>[X0: $tType] : ( ( X0 * set(X0) * fun(nat,X0) ) > nat ) ).

tff(func_def_4646,type,
    sK3593: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * fun(X1,X0) * X1 * fun(X1,X0) ) > X1 ) ).

tff(func_def_4647,type,
    sK3594: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * fun(X1,X0) * X1 ) > fun(X1,X0) ) ).

tff(func_def_4648,type,
    sK3595: 
      !>[X0: $tType] : ( fun(nat,X0) > nat ) ).

tff(func_def_4649,type,
    sK3596: 
      !>[X0: $tType] : ( fun(nat,X0) > nat ) ).

tff(func_def_4650,type,
    sK3597: 
      !>[X0: $tType,X1: $tType] : ( ( X1 * set(X1) * fun(X1,X0) * fun(X1,X0) * fun(X1,X0) ) > X1 ) ).

tff(func_def_4651,type,
    sK3598: 
      !>[X0: $tType,X1: $tType] : ( ( X1 * set(X1) * fun(X1,X0) * fun(X1,X0) ) > fun(X1,X0) ) ).

tff(func_def_4652,type,
    sK3599: 
      !>[X0: $tType,X1: $tType] : ( ( real * fun(X1,X0) * set(X1) * X1 * fun(X1,X0) * fun(X1,real) ) > X1 ) ).

tff(func_def_4653,type,
    sK3600: 
      !>[X0: $tType] : ( set(set(X0)) > set(X0) ) ).

tff(func_def_4654,type,
    sK3601: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,set(X0)) ) > X1 ) ).

tff(func_def_4655,type,
    sK3602: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_4656,type,
    sK3603: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_4657,type,
    sK3604: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > set(X0) ) ).

tff(func_def_4658,type,
    sK3605: 
      !>[X0: $tType] : ( X0 > fun(nat,set(X0)) ) ).

tff(func_def_4659,type,
    sK3606: 
      !>[X0: $tType] : ( ( X0 * set(X0) ) > nat ) ).

tff(func_def_4660,type,
    sK3607: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_4661,type,
    sK3608: 
      !>[X0: $tType] : ( ( set(X0) * real ) > X0 ) ).

tff(func_def_4662,type,
    sK3609: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > real ) ).

tff(func_def_4663,type,
    sK3610: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_4664,type,
    sK3611: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_4665,type,
    sK3612: 
      !>[X0: $tType] : ( ( X0 * X0 ) > set(X0) ) ).

tff(func_def_4666,type,
    sK3613: 
      !>[X0: $tType] : ( ( X0 * X0 ) > set(X0) ) ).

tff(func_def_4667,type,
    sK3614: 
      !>[X0: $tType] : ( ( X0 * X0 ) > set(X0) ) ).

tff(func_def_4668,type,
    sK3615: 
      !>[X0: $tType] : ( ( X0 * X0 ) > set(X0) ) ).

tff(func_def_4669,type,
    sK3616: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_4670,type,
    sK3617: 
      !>[X0: $tType] : ( ( fun(X0,X0) * X0 * set(X0) * real * fun(X0,X0) ) > X0 ) ).

tff(func_def_4671,type,
    sK3618: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * X1 * set(X1) * real * fun(X1,X0) ) > X1 ) ).

tff(func_def_4672,type,
    sK3619: 
      !>[X0: $tType] : ( fun(nat,X0) > real ) ).

tff(func_def_4673,type,
    sK3620: 
      !>[X0: $tType] : ( ( fun(nat,X0) * nat ) > nat ) ).

tff(func_def_4674,type,
    sK3621: 
      !>[X0: $tType] : ( ( fun(nat,X0) * nat ) > nat ) ).

tff(func_def_4675,type,
    sK3622: 
      !>[X0: $tType] : ( ( fun(nat,X0) * real ) > nat ) ).

tff(func_def_4676,type,
    sK3623: 
      !>[X0: $tType] : ( fun(nat,X0) > real ) ).

tff(func_def_4677,type,
    sK3624: 
      !>[X0: $tType] : ( ( fun(nat,X0) * nat ) > nat ) ).

tff(func_def_4678,type,
    sK3625: 
      !>[X0: $tType] : ( ( fun(nat,X0) * real ) > nat ) ).

tff(func_def_4679,type,
    sK3626: 
      !>[X0: $tType] : ( ( fun(nat,X0) * real ) > nat ) ).

tff(func_def_4680,type,
    sK3627: 
      !>[X0: $tType] : ( fun(nat,X0) > real ) ).

tff(func_def_4681,type,
    sK3628: 
      !>[X0: $tType] : ( ( fun(nat,X0) * nat ) > nat ) ).

tff(func_def_4682,type,
    sK3629: 
      !>[X0: $tType] : ( ( fun(nat,X0) * nat ) > nat ) ).

tff(func_def_4683,type,
    sK3630: 
      !>[X0: $tType] : ( ( fun(nat,X0) * X0 ) > set(X0) ) ).

tff(func_def_4684,type,
    sK3631: 
      !>[X0: $tType] : ( ( fun(nat,X0) * X0 * nat ) > nat ) ).

tff(func_def_4685,type,
    sK3632: 
      !>[X0: $tType] : ( ( fun(nat,X0) * set(X0) ) > nat ) ).

tff(func_def_4686,type,
    sK3633: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * X1 * set(X1) * real * fun(X1,X0) ) > X1 ) ).

tff(func_def_4687,type,
    sK3634: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * X1 * set(X1) * real * fun(X1,X0) ) > X1 ) ).

tff(func_def_4688,type,
    sK3635: 
      !>[X0: $tType] : ( fun(nat,X0) > real ) ).

tff(func_def_4689,type,
    sK3636: 
      !>[X0: $tType] : ( ( fun(nat,X0) * nat ) > nat ) ).

tff(func_def_4690,type,
    sK3637: 
      !>[X0: $tType] : ( ( fun(nat,X0) * nat ) > nat ) ).

tff(func_def_4691,type,
    sK3638: 
      !>[X0: $tType] : ( ( fun(nat,X0) * real ) > nat ) ).

tff(func_def_4692,type,
    sK3639: 
      !>[X0: $tType] : ( fun(nat,X0) > real ) ).

tff(func_def_4693,type,
    sK3640: 
      !>[X0: $tType] : ( ( fun(nat,X0) * nat ) > nat ) ).

tff(func_def_4694,type,
    sK3641: 
      !>[X0: $tType] : ( ( fun(nat,X0) * nat ) > nat ) ).

tff(func_def_4695,type,
    sK3642: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * X0 * X1 ) > real ) ).

tff(func_def_4696,type,
    sK3643: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * X0 * X1 * real ) > X1 ) ).

tff(func_def_4697,type,
    sK3644: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * X0 * X1 * real ) > real ) ).

tff(func_def_4698,type,
    sK3645: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * X0 * X1 * real ) > real ) ).

tff(func_def_4699,type,
    sK3646: 
      !>[X0: $tType,X1: $tType] : ( ( X1 * fun(X1,X0) * X0 ) > real ) ).

tff(func_def_4700,type,
    sK3647: 
      !>[X0: $tType,X1: $tType] : ( ( X1 * fun(X1,X0) * X0 * real ) > X1 ) ).

tff(func_def_4701,type,
    sK3648: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * X1 * real * fun(X1,X0) ) > X1 ) ).

tff(func_def_4702,type,
    sK3649: 
      !>[X0: $tType] : ( ( fun(nat,X0) * X0 ) > real ) ).

tff(func_def_4703,type,
    sK3650: 
      !>[X0: $tType] : ( ( fun(nat,X0) * X0 * nat ) > nat ) ).

tff(func_def_4704,type,
    sK3651: 
      !>[X0: $tType] : ( ( fun(nat,X0) * X0 * real ) > nat ) ).

tff(func_def_4705,type,
    sK3652: 
      !>[X0: $tType] : ( ( fun(nat,X0) * X0 ) > real ) ).

tff(func_def_4706,type,
    sK3653: 
      !>[X0: $tType] : ( ( fun(nat,X0) * X0 * nat ) > nat ) ).

tff(func_def_4707,type,
    sK3654: 
      !>[X0: $tType] : ( ( fun(nat,X0) * X0 * real ) > nat ) ).

tff(func_def_4708,type,
    sK3655: 
      !>[X0: $tType] : ( fun(nat,X0) > nat ) ).

tff(func_def_4709,type,
    sK3656: 
      !>[X0: $tType] : ( ( fun(nat,X0) * nat ) > nat ) ).

tff(func_def_4710,type,
    sK3657: 
      !>[X0: $tType] : ( ( fun(nat,X0) * nat ) > nat ) ).

tff(func_def_4711,type,
    sK3658: 
      !>[X0: $tType] : ( ( fun(nat,X0) * nat ) > nat ) ).

tff(func_def_4712,type,
    sK3659: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * X0 * X1 * real ) > X1 ) ).

tff(func_def_4713,type,
    sK3660: 
      !>[X0: $tType] : ( ( fun(nat,X0) * X0 ) > real ) ).

tff(func_def_4714,type,
    sK3661: 
      !>[X0: $tType] : ( ( fun(nat,X0) * X0 * nat ) > nat ) ).

tff(func_def_4715,type,
    sK3662: 
      !>[X0: $tType] : ( ( fun(nat,X0) * X0 * real ) > nat ) ).

tff(func_def_4716,type,
    sK3663: ( real * fun(real,real) ) > real ).

tff(func_def_4717,type,
    sK3664: 
      !>[X0: $tType] : ( set(X0) > real ) ).

tff(func_def_4718,type,
    sK3665: 
      !>[X0: $tType] : ( ( set(X0) * real ) > set(X0) ) ).

tff(func_def_4719,type,
    sK3666: 
      !>[X0: $tType] : ( set(set(X0)) > set(X0) ) ).

tff(func_def_4720,type,
    sK3667: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * filter(X1) ) > X0 ) ).

tff(func_def_4721,type,
    sK3668: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * filter(X1) * X0 ) > X0 ) ).

tff(func_def_4722,type,
    sK3669: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * filter(X1) ) > X0 ) ).

tff(func_def_4723,type,
    sK3670: 
      !>[X0: $tType] : ( fun(X0,$o) > X0 ) ).

tff(func_def_4724,type,
    sK3671: 
      !>[X0: $tType] : ( fun(X0,$o) > X0 ) ).

tff(func_def_4725,type,
    sK3672: 
      !>[X0: $tType] : ( fun(X0,$o) > X0 ) ).

tff(func_def_4726,type,
    sK3673: 
      !>[X0: $tType] : ( ( fun(X0,$o) * X0 ) > X0 ) ).

tff(func_def_4727,type,
    sK3674: 
      !>[X0: $tType] : ( fun(X0,$o) > X0 ) ).

tff(func_def_4728,type,
    sK3675: 
      !>[X0: $tType] : ( ( fun(X0,$o) * X0 ) > X0 ) ).

tff(func_def_4729,type,
    sK3676: 
      !>[X0: $tType] : ( fun(X0,$o) > X0 ) ).

tff(func_def_4730,type,
    sK3677: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * filter(X1) * X0 ) > X0 ) ).

tff(func_def_4731,type,
    sK3678: 
      !>[X0: $tType] : ( ( X0 * fun(X0,$o) ) > X0 ) ).

tff(func_def_4732,type,
    sK3679: 
      !>[X0: $tType] : ( ( fun(X0,$o) * X0 ) > X0 ) ).

tff(func_def_4733,type,
    sK3680: 
      !>[X0: $tType] : ( fun(X0,$o) > X0 ) ).

tff(func_def_4734,type,
    sK3681: 
      !>[X0: $tType] : ( ( fun(X0,$o) * X0 ) > X0 ) ).

tff(func_def_4735,type,
    sK3682: 
      !>[X0: $tType] : ( fun(X0,$o) > X0 ) ).

tff(func_def_4736,type,
    sK3683: ( fun(nat,$o) * nat ) > nat ).

tff(func_def_4737,type,
    sK3684: fun(nat,$o) > nat ).

tff(func_def_4738,type,
    sK3685: ( nat * fun(nat,$o) ) > nat ).

tff(func_def_4739,type,
    sK3686: filter(nat) > nat ).

tff(func_def_4740,type,
    sK3687: 
      !>[X0: $tType] : ( ( fun(X0,$o) * X0 ) > X0 ) ).

tff(func_def_4741,type,
    sK3688: 
      !>[X0: $tType] : ( fun(X0,$o) > X0 ) ).

tff(func_def_4742,type,
    sK3689: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * fun(X1,$o) ) > X1 ) ).

tff(func_def_4743,type,
    sK3690: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * fun(X1,$o) ) > X1 ) ).

tff(func_def_4744,type,
    sK3691: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,$o) * fun(X0,$o) * fun(X0,X1) ) > X0 ) ).

tff(func_def_4745,type,
    sK3692: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * fun(X0,$o) * fun(X0,X1) ) > X0 ) ).

tff(func_def_4746,type,
    sK3693: 
      !>[X0: $tType] : ( ( X0 * fun(X0,$o) * X0 ) > X0 ) ).

tff(func_def_4747,type,
    sK3694: 
      !>[X0: $tType] : ( ( X0 * fun(X0,$o) ) > X0 ) ).

tff(func_def_4748,type,
    sK3695: 
      !>[X0: $tType] : ( ( fun(X0,$o) * X0 * X0 ) > X0 ) ).

tff(func_def_4749,type,
    sK3696: 
      !>[X0: $tType] : ( ( fun(X0,$o) * X0 ) > X0 ) ).

tff(func_def_4750,type,
    sK3697: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * X0 * filter(X1) ) > X0 ) ).

tff(func_def_4751,type,
    sK3698: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * X0 * filter(X1) ) > X0 ) ).

tff(func_def_4752,type,
    sK3699: 
      !>[X0: $tType,X1: $tType] : ( ( X0 * fun(X1,X0) * filter(X1) ) > X0 ) ).

tff(func_def_4753,type,
    sK3700: 
      !>[X0: $tType,X1: $tType] : ( ( X0 * fun(X1,X0) * filter(X1) ) > X0 ) ).

tff(func_def_4754,type,
    sK3701: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * filter(X1) ) > X0 ) ).

tff(func_def_4755,type,
    sK3702: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * filter(X1) * X0 ) > X0 ) ).

tff(func_def_4756,type,
    sK3703: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * filter(X1) ) > X0 ) ).

tff(func_def_4757,type,
    sK3704: 
      !>[X0: $tType] : ( X0 > fun(nat,set(X0)) ) ).

tff(func_def_4758,type,
    sK3705: 
      !>[X0: $tType] : ( set(filter(X0)) > filter(X0) ) ).

tff(func_def_4759,type,
    sK3706: 
      !>[X0: $tType] : ( set(filter(X0)) > filter(X0) ) ).

tff(func_def_4760,type,
    sK3707: 
      !>[X0: $tType] : ( ( set(filter(X0)) * fun(X0,$o) ) > filter(X0) ) ).

tff(func_def_4761,type,
    sK3708: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,filter(X1)) * fun(X0,fun(X1,$o)) ) > X0 ) ).

tff(func_def_4762,type,
    sK3709: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X1,$o) * fun(X0,fun(X1,$o)) ) > X1 ) ).

tff(func_def_4763,type,
    sK3710: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X1,$o) * fun(X0,filter(X1)) ) > fun(X0,fun(X1,$o)) ) ).

tff(func_def_4764,type,
    sK3711: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X1,$o) * fun(X0,filter(X1)) * X1 ) > X0 ) ).

tff(func_def_4765,type,
    sK3712: 
      !>[X0: $tType] : ( ( fun(X0,$o) * X0 * set(X0) * real ) > X0 ) ).

tff(func_def_4766,type,
    sK3713: 
      !>[X0: $tType] : ( ( fun(X0,$o) * X0 * set(X0) ) > real ) ).

tff(func_def_4767,type,
    sK3714: 
      !>[X0: $tType] : ( ( fun(X0,$o) * X0 * real ) > X0 ) ).

tff(func_def_4768,type,
    sK3715: 
      !>[X0: $tType] : ( ( fun(X0,$o) * X0 ) > real ) ).

tff(func_def_4769,type,
    sK3716: 
      !>[X0: $tType] : ( ( X0 * X0 * fun(X0,$o) ) > X0 ) ).

tff(func_def_4770,type,
    sK3717: 
      !>[X0: $tType,X1: $tType] : ( ( X0 * fun(X1,X0) * filter(X1) ) > X0 ) ).

tff(func_def_4771,type,
    sK3718: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * X0 * filter(X1) ) > X0 ) ).

tff(func_def_4772,type,
    sK3719: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * filter(X1) * X0 ) > X0 ) ).

tff(func_def_4773,type,
    sK3720: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,$o) * fun(X1,filter(X0)) * set(X1) ) > set(X1) ) ).

tff(func_def_4774,type,
    sK3721: 
      !>[X0: $tType] : ( ( fun(X0,$o) * X0 * set(X0) * real ) > X0 ) ).

tff(func_def_4775,type,
    sK3722: 
      !>[X0: $tType] : ( ( fun(X0,$o) * X0 * set(X0) ) > real ) ).

tff(func_def_4776,type,
    sK3723: 
      !>[X0: $tType] : ( ( fun(X0,$o) * real ) > X0 ) ).

tff(func_def_4777,type,
    sK3724: 
      !>[X0: $tType] : ( fun(X0,$o) > real ) ).

tff(func_def_4778,type,
    sK3725: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * X0 * filter(X1) ) > real ) ).

tff(func_def_4779,type,
    sK3726: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * X0 * filter(X1) ) > real ) ).

tff(func_def_4780,type,
    sK3727: 
      !>[X0: $tType] : ( ( fun(X0,$o) * set(filter(X0)) ) > set(filter(X0)) ) ).

tff(func_def_4781,type,
    sK3728: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * fun(X1,$o) ) > X1 ) ).

tff(func_def_4782,type,
    sK3729: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * fun(X1,$o) ) > X1 ) ).

tff(func_def_4783,type,
    sK3730: 
      !>[X0: $tType] : ( ( fun(X0,$o) * X0 ) > X0 ) ).

tff(func_def_4784,type,
    sK3731: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,$o) * fun(X0,$o) * fun(X0,X1) ) > X0 ) ).

tff(func_def_4785,type,
    sK3732: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * fun(X0,$o) * fun(X0,X1) ) > X0 ) ).

tff(func_def_4786,type,
    sK3733: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,filter(X1)) ) > X0 ) ).

tff(func_def_4787,type,
    sK3734: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,filter(X1)) ) > X0 ) ).

tff(func_def_4788,type,
    sK3735: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,filter(X0)) * fun(X0,$o) ) > X1 ) ).

tff(func_def_4789,type,
    sK3736: 
      !>[X0: $tType,X1: $tType] : ( ( real * fun(X1,X0) * filter(X1) ) > real ) ).

tff(func_def_4790,type,
    sK3737: ( real * fun(real,real) ) > real ).

tff(func_def_4791,type,
    sK3738: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * filter(X1) ) > X0 ) ).

tff(func_def_4792,type,
    sK3739: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * filter(X1) ) > real ) ).

tff(func_def_4793,type,
    sK3740: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * filter(X1) ) > real ) ).

tff(func_def_4794,type,
    sK3741: 
      !>[X0: $tType] : ( fun(nat,X0) > real ) ).

tff(func_def_4795,type,
    sK3742: 
      !>[X0: $tType] : ( fun(nat,X0) > real ) ).

tff(func_def_4796,type,
    sK3743: 
      !>[X0: $tType] : ( ( real * fun(nat,X0) ) > nat ) ).

tff(func_def_4797,type,
    sK3744: 
      !>[X0: $tType] : ( ( fun(nat,X0) * real ) > nat ) ).

tff(func_def_4798,type,
    sK3745: 
      !>[X0: $tType] : ( fun(nat,X0) > real ) ).

tff(func_def_4799,type,
    sK3746: 
      !>[X0: $tType] : ( ( fun(nat,X0) * nat ) > nat ) ).

tff(func_def_4800,type,
    sK3747: 
      !>[X0: $tType] : ( fun(nat,X0) > nat ) ).

tff(func_def_4801,type,
    sK3748: 
      !>[X0: $tType] : ( ( fun(nat,X0) * real * nat ) > nat ) ).

tff(func_def_4802,type,
    sK3749: 
      !>[X0: $tType] : ( fun(nat,X0) > real ) ).

tff(func_def_4803,type,
    sK3750: 
      !>[X0: $tType] : ( fun(nat,X0) > nat ) ).

tff(func_def_4804,type,
    sK3751: 
      !>[X0: $tType] : ( ( fun(nat,X0) * real * X0 ) > nat ) ).

tff(func_def_4805,type,
    sK3752: 
      !>[X0: $tType] : ( fun(nat,X0) > real ) ).

tff(func_def_4806,type,
    sK3753: 
      !>[X0: $tType] : ( fun(nat,X0) > X0 ) ).

tff(func_def_4807,type,
    sK3754: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * filter(X1) ) > real ) ).

tff(func_def_4808,type,
    sK3755: ( fun(nat,$o) * nat ) > nat ).

tff(func_def_4809,type,
    sK3756: ( fun(nat,$o) * nat ) > nat ).

tff(func_def_4810,type,
    sK3757: ( fun(nat,$o) * nat ) > nat ).

tff(func_def_4811,type,
    sK3758: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_4812,type,
    sK3759: 
      !>[X0: $tType] : ( ( fun(X0,$o) * X0 ) > X0 ) ).

tff(func_def_4813,type,
    sK3760: 
      !>[X0: $tType] : ( ( fun(X0,$o) * fun(X0,$o) ) > X0 ) ).

tff(func_def_4814,type,
    sK3761: 
      !>[X0: $tType] : ( ( fun(X0,$o) * X0 ) > X0 ) ).

tff(func_def_4815,type,
    sK3762: 
      !>[X0: $tType] : ( filter(X0) > real ) ).

tff(func_def_4816,type,
    sK3763: 
      !>[X0: $tType] : ( ( filter(X0) * fun(X0,$o) ) > X0 ) ).

tff(func_def_4817,type,
    sK3764: 
      !>[X0: $tType] : ( ( filter(X0) * fun(X0,$o) ) > X0 ) ).

tff(func_def_4818,type,
    sK3765: 
      !>[X0: $tType] : ( ( filter(X0) * real ) > fun(X0,$o) ) ).

tff(func_def_4819,type,
    sK3766: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,$o) * fun(X1,X0) * X0 * set(X0) * set(X0) ) > X1 ) ).

tff(func_def_4820,type,
    sK3767: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,$o) * fun(X1,X0) * X0 * set(X0) ) > set(X0) ) ).

tff(func_def_4821,type,
    sK3768: 
      !>[X0: $tType,X1: $tType] : ( ( filter(X0) * fun(X1,X0) ) > fun(X0,$o) ) ).

tff(func_def_4822,type,
    sK3769: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,$o) * fun(X1,X0) * X0 ) > X1 ) ).

tff(func_def_4823,type,
    sK3770: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,$o) * fun(X1,X0) ) > X0 ) ).

tff(func_def_4824,type,
    sK3771: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,$o) * fun(X1,X0) * X0 ) > X1 ) ).

tff(func_def_4825,type,
    sK3772: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,$o) * fun(X1,X0) ) > X0 ) ).

tff(func_def_4826,type,
    sK3773: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,$o) * fun(X1,X0) * X0 ) > X1 ) ).

tff(func_def_4827,type,
    sK3774: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,$o) * fun(X1,X0) ) > X0 ) ).

tff(func_def_4828,type,
    sK3775: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,$o) * fun(X1,X0) * X0 ) > X1 ) ).

tff(func_def_4829,type,
    sK3776: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,$o) * fun(X1,X0) ) > X0 ) ).

tff(func_def_4830,type,
    sK3777: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * X0 * X0 ) > X0 ) ).

tff(func_def_4831,type,
    sK3778: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * X0 * X1 * X0 ) > X0 ) ).

tff(func_def_4832,type,
    sK3779: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * X0 * X0 ) > X0 ) ).

tff(func_def_4833,type,
    sK3780: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * X0 * X1 * X0 ) > X0 ) ).

tff(func_def_4834,type,
    sK3781: 
      !>[X0: $tType] : ( ( real * real * fun(real,X0) ) > X0 ) ).

tff(func_def_4835,type,
    sK3782: 
      !>[X0: $tType] : ( ( real * real * fun(real,X0) ) > real ) ).

tff(func_def_4836,type,
    sK3783: 
      !>[X0: $tType] : ( ( fun(real,X0) * real * real ) > X0 ) ).

tff(func_def_4837,type,
    sK3784: 
      !>[X0: $tType] : ( ( fun(real,X0) * real * real ) > real ) ).

tff(func_def_4838,type,
    sK3785: 
      !>[X0: $tType] : ( ( real * real * fun(real,X0) ) > real ) ).

tff(func_def_4839,type,
    sK3786: 
      !>[X0: $tType] : ( ( fun(real,X0) * real * real ) > X0 ) ).

tff(func_def_4840,type,
    sK3787: 
      !>[X0: $tType] : ( ( fun(real,X0) * real * real ) > real ) ).

tff(func_def_4841,type,
    sK3788: 
      !>[X0: $tType] : ( ( real * real * fun(real,X0) ) > real ) ).

tff(func_def_4842,type,
    sK3789: ( fun(real,real) * fun(real,real) * real * real ) > real ).

tff(func_def_4843,type,
    sK3790: ( real * real * fun(real,real) ) > real ).

tff(func_def_4844,type,
    sK3791: 
      !>[X0: $tType] : ( ( fun(real,X0) * real * real ) > X0 ) ).

tff(func_def_4845,type,
    sK3792: 
      !>[X0: $tType] : ( ( fun(real,X0) * real * real * X0 ) > real ) ).

tff(func_def_4846,type,
    sK3793: 
      !>[X0: $tType] : ( ( real * real * fun(real,X0) ) > real ) ).

tff(func_def_4847,type,
    sK3794: 
      !>[X0: $tType,X1: $tType,X2: $tType,X3: $tType] : ( ( set(X0) * fun(X2,set(X1)) * fun(X3,X1) * fun(X0,set(X3)) * set(X2) ) > X2 ) ).

tff(func_def_4848,type,
    sK3795: 
      !>[X0: $tType,X1: $tType,X2: $tType,X3: $tType] : ( ( set(X0) * fun(X2,set(X1)) * fun(X3,X1) * fun(X0,set(X3)) * set(X2) * X0 ) > X3 ) ).

tff(func_def_4849,type,
    sK3796: 
      !>[X0: $tType,X1: $tType,X2: $tType,X3: $tType] : ( ( set(X0) * fun(X2,set(X1)) * fun(X3,X1) * fun(X0,set(X3)) * X2 ) > X0 ) ).

tff(func_def_4850,type,
    sK3797: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,set(X1)) ) > X0 ) ).

tff(func_def_4851,type,
    sK3798: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,set(X1)) ) > X0 ) ).

tff(func_def_4852,type,
    sK3799: ( fun(real,real) * fun(real,real) * real * real ) > real ).

tff(func_def_4853,type,
    sK3800: ( real * real * fun(real,real) ) > real ).

tff(func_def_4854,type,
    sK3801: ( real * real * fun(real,real) ) > real ).

tff(func_def_4855,type,
    sK3802: ( real * real * fun(real,real) * fun(real,real) ) > real ).

tff(func_def_4856,type,
    sK3803: ( fun(real,real) * fun(real,real) * real * real ) > real ).

tff(func_def_4857,type,
    sK3804: ( fun(real,real) * fun(real,real) * real * real ) > real ).

tff(func_def_4858,type,
    sK3805: ( fun(real,real) * real * real ) > real ).

tff(func_def_4859,type,
    sK3806: ( fun(real,real) * real * real ) > real ).

tff(func_def_4860,type,
    sK3807: ( real * real * fun(real,real) * fun(real,real) * fun(real,real) * fun(real,real) ) > real ).

tff(func_def_4861,type,
    sK3808: 
      !>[X0: $tType,X1: $tType] : ( ( X1 * fun(X1,X0) * real ) > X1 ) ).

tff(func_def_4862,type,
    sK3809: 
      !>[X0: $tType,X1: $tType] : ( ( X1 * fun(X1,X0) * real ) > X1 ) ).

tff(func_def_4863,type,
    sK3810: 
      !>[X0: $tType] : ( set(X0) > filter(X0) ) ).

tff(func_def_4864,type,
    sK3811: 
      !>[X0: $tType] : ( ( set(X0) * filter(X0) ) > X0 ) ).

tff(func_def_4865,type,
    sK3812: 
      !>[X0: $tType] : ( ( X0 * fun(X0,$o) * X0 ) > X0 ) ).

tff(func_def_4866,type,
    sK3813: 
      !>[X0: $tType] : ( ( X0 * fun(X0,$o) ) > X0 ) ).

tff(func_def_4867,type,
    sK3814: 
      !>[X0: $tType] : ( ( fun(X0,$o) * X0 * X0 ) > X0 ) ).

tff(func_def_4868,type,
    sK3815: 
      !>[X0: $tType] : ( ( fun(X0,$o) * X0 ) > X0 ) ).

tff(func_def_4869,type,
    sK3816: 
      !>[X0: $tType] : ( ( X0 * X0 ) > X0 ) ).

tff(func_def_4870,type,
    sK3817: 
      !>[X0: $tType] : ( ( X0 * X0 ) > X0 ) ).

tff(func_def_4871,type,
    sK3818: 
      !>[X0: $tType] : ( ( X0 * X0 * fun(X0,$o) ) > X0 ) ).

tff(func_def_4872,type,
    sK3819: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * fun(X1,$o) ) > X1 ) ).

tff(func_def_4873,type,
    sK3820: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * fun(X1,$o) ) > X1 ) ).

tff(func_def_4874,type,
    sK3821: 
      !>[X0: $tType] : ( ( fun(X0,$o) * X0 ) > X0 ) ).

tff(func_def_4875,type,
    sK3822: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,$o) * fun(X0,$o) * fun(X0,X1) ) > X0 ) ).

tff(func_def_4876,type,
    sK3823: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * fun(X0,$o) * fun(X0,X1) ) > X0 ) ).

tff(func_def_4877,type,
    sK3824: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_4878,type,
    sK3825: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_4879,type,
    sK3826: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_4880,type,
    sK3827: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_4881,type,
    sK3828: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_4882,type,
    sK3829: 
      !>[X0: $tType] : ( ( X0 * X0 * fun(X0,$o) ) > fun(nat,X0) ) ).

tff(func_def_4883,type,
    sK3830: ( fun(real,real) * real * real ) > real ).

tff(func_def_4884,type,
    sK3831: ( fun(real,real) * real * real ) > real ).

tff(func_def_4885,type,
    sK3832: ( fun(real,real) * real * real ) > real ).

tff(func_def_4886,type,
    sK3833: ( fun(real,real) * fun(real,real) * real * real ) > real ).

tff(func_def_4887,type,
    sK3834: ( fun(real,real) * fun(real,real) * real * real ) > real ).

tff(func_def_4888,type,
    sK3835: ( fun(real,real) * fun(real,real) * real * real ) > real ).

tff(func_def_4889,type,
    sK3836: ( real * real * fun(real,real) ) > real ).

tff(func_def_4890,type,
    sK3837: 
      !>[X0: $tType,X1: $tType] : ( fun(X1,X0) > X1 ) ).

tff(func_def_4891,type,
    sK3838: 
      !>[X0: $tType,X1: $tType] : ( fun(X1,X0) > X1 ) ).

tff(func_def_4892,type,
    sK3839: 
      !>[X0: $tType,X1: $tType] : ( fun(X1,X0) > X1 ) ).

tff(func_def_4893,type,
    sK3840: 
      !>[X0: $tType,X1: $tType] : ( fun(X1,X0) > X1 ) ).

tff(func_def_4894,type,
    sK3841: 
      !>[X0: $tType] : ( fun(nat,X0) > nat ) ).

tff(func_def_4895,type,
    sK3842: 
      !>[X0: $tType] : ( fun(nat,X0) > nat ) ).

tff(func_def_4896,type,
    sK3843: 
      !>[X0: $tType] : ( fun(nat,X0) > nat ) ).

tff(func_def_4897,type,
    sK3844: 
      !>[X0: $tType] : ( fun(nat,X0) > nat ) ).

tff(func_def_4898,type,
    sK3845: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( set(X0) * fun(X0,fun(X2,X1)) * filter(X2) ) > X0 ) ).

tff(func_def_4899,type,
    sK3846: 
      !>[X0: $tType,X1: $tType] : ( ( X1 * X1 * fun(X1,X0) * X0 ) > fun(nat,X1) ) ).

tff(func_def_4900,type,
    sK3847: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_4901,type,
    sK3848: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_4902,type,
    sK3849: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_4903,type,
    sK3850: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_4904,type,
    sK3851: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_4905,type,
    sK3852: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,set(X0)) ) > X1 ) ).

tff(func_def_4906,type,
    sK3853: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,set(X0)) ) > X1 ) ).

tff(func_def_4907,type,
    sK3854: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_4908,type,
    sK3855: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_4909,type,
    sK3856: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_4910,type,
    sK3857: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_4911,type,
    sK3858: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_4912,type,
    sK3859: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_4913,type,
    sK3860: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * X0 * fun(X1,X0) ) > X1 ) ).

tff(func_def_4914,type,
    sK3861: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * X0 * fun(X1,X0) ) > X1 ) ).

tff(func_def_4915,type,
    sK3862: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,X0) * X0 ) > X1 ) ).

tff(func_def_4916,type,
    sK3863: 
      !>[X0: $tType] : ( ( set(X0) * set(X0) ) > X0 ) ).

tff(func_def_4917,type,
    sK3864: 
      !>[X0: $tType] : ( ( set(X0) * set(X0) ) > X0 ) ).

tff(func_def_4918,type,
    sK3865: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_4919,type,
    sK3866: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_4920,type,
    sK3867: 
      !>[X0: $tType] : ( ( set(X0) * set(X0) ) > X0 ) ).

tff(func_def_4921,type,
    sK3868: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_4922,type,
    sK3869: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_4923,type,
    sK3870: 
      !>[X0: $tType] : ( ( set(X0) * set(X0) ) > X0 ) ).

tff(func_def_4924,type,
    sK3871: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_4925,type,
    sK3872: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_4926,type,
    sK3873: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_4927,type,
    sK3874: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_4928,type,
    sK3875: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_4929,type,
    sK3876: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_4930,type,
    sK3877: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_4931,type,
    sK3878: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( set(X2) * fun(X0,X1) * set(X0) * fun(X2,X1) ) > X2 ) ).

tff(func_def_4932,type,
    sK3879: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,X0) * X0 ) > X1 ) ).

tff(func_def_4933,type,
    sK3880: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( set(X0) * fun(X2,X1) * set(X2) * fun(X0,X1) ) > X0 ) ).

tff(func_def_4934,type,
    sK3881: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,X1) * X1 ) > X0 ) ).

tff(func_def_4935,type,
    sK3882: 
      !>[X0: $tType] : ( fun(X0,X0) > X0 ) ).

tff(func_def_4936,type,
    sK3883: 
      !>[X0: $tType] : ( fun(X0,X0) > X0 ) ).

tff(func_def_4937,type,
    sK3884: 
      !>[X0: $tType] : X0 ).

tff(func_def_4938,type,
    sK3885: 
      !>[X0: $tType] : X0 ).

tff(func_def_4939,type,
    sK3886: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,X1) * X1 ) > X0 ) ).

tff(func_def_4940,type,
    sK3887: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,X0) * X0 ) > X1 ) ).

tff(func_def_4941,type,
    sK3888: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_4942,type,
    sK3889: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,X0) * fun(X1,X0) ) > X1 ) ).

tff(func_def_4943,type,
    sK3890: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,set(X0)) ) > X1 ) ).

tff(func_def_4944,type,
    sK3891: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,set(X0)) ) > X1 ) ).

tff(func_def_4945,type,
    sK3892: ( real * real * fun(real,real) ) > real ).

tff(func_def_4946,type,
    sK3893: ( real * real * fun(real,real) ) > real ).

tff(func_def_4947,type,
    sK3894: ( real * real * fun(real,real) ) > real ).

tff(func_def_4948,type,
    sK3895: 
      !>[X0: $tType] : ( fun(product_prod(X0,X0),$o) > fun(product_prod(X0,X0),$o) ) ).

tff(func_def_4949,type,
    sK3896: 
      !>[X0: $tType] : ( fun(product_prod(X0,X0),$o) > fun(product_prod(X0,X0),$o) ) ).

tff(func_def_4950,type,
    sK3897: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * X0 * X1 * X0 ) > X0 ) ).

tff(func_def_4951,type,
    sK3898: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * X0 * X1 * X0 ) > X0 ) ).

tff(func_def_4952,type,
    sK3899: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_4953,type,
    sK3900: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_4954,type,
    sK3901: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_4955,type,
    sK3902: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * set(X1) ) > X1 ) ).

tff(func_def_4956,type,
    sK3903: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * set(X1) ) > X1 ) ).

tff(func_def_4957,type,
    sK3904: 
      !>[X0: $tType] : ( ( set(X0) * fun(X0,X0) ) > X0 ) ).

tff(func_def_4958,type,
    sK3905: 
      !>[X0: $tType] : ( ( set(X0) * fun(X0,real) * fun(X0,real) ) > set(X0) ) ).

tff(func_def_4959,type,
    sK3906: 
      !>[X0: $tType] : ( ( set(X0) * fun(X0,X0) ) > X0 ) ).

tff(func_def_4960,type,
    sK3907: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_4961,type,
    sK3908: 
      !>[X0: $tType] : ( ( set(X0) * fun(X0,real) ) > set(X0) ) ).

tff(func_def_4962,type,
    sK3909: 
      !>[X0: $tType] : ( ( set(X0) * fun(X0,real) * fun(X0,real) ) > X0 ) ).

tff(func_def_4963,type,
    sK3910: 
      !>[X0: $tType] : ( ( set(X0) * fun(X0,real) ) > X0 ) ).

tff(func_def_4964,type,
    sK3911: 
      !>[X0: $tType] : ( ( set(X0) * fun(X0,real) ) > X0 ) ).

tff(func_def_4965,type,
    sK3912: 
      !>[X0: $tType] : ( ( set(X0) * fun(X0,real) ) > X0 ) ).

tff(func_def_4966,type,
    sK3913: 
      !>[X0: $tType] : ( fun(nat,X0) > fun(product_prod(X0,X0),$o) ) ).

tff(func_def_4967,type,
    sK3914: 
      !>[X0: $tType] : ( ( fun(nat,X0) * nat ) > nat ) ).

tff(func_def_4968,type,
    sK3915: 
      !>[X0: $tType] : ( ( fun(nat,X0) * nat ) > nat ) ).

tff(func_def_4969,type,
    sK3916: 
      !>[X0: $tType] : ( ( fun(nat,X0) * fun(product_prod(X0,X0),$o) ) > nat ) ).

tff(func_def_4970,type,
    sK3917: 
      !>[X0: $tType] : ( ( X0 * X0 * fun(X0,X0) ) > X0 ) ).

tff(func_def_4971,type,
    sK3918: 
      !>[X0: $tType] : ( set(X0) > fun(product_prod(X0,X0),$o) ) ).

tff(func_def_4972,type,
    sK3919: 
      !>[X0: $tType] : ( ( set(X0) * set(X0) ) > X0 ) ).

tff(func_def_4973,type,
    sK3920: 
      !>[X0: $tType] : ( ( set(X0) * fun(product_prod(X0,X0),$o) ) > set(X0) ) ).

tff(func_def_4974,type,
    sK3921: 
      !>[X0: $tType] : ( ( set(X0) * fun(product_prod(X0,X0),$o) * X0 ) > X0 ) ).

tff(func_def_4975,type,
    sK3922: ( fun(real,fun(real,real)) * fun(real,real) * real * real ) > real ).

tff(func_def_4976,type,
    sK3923: ( real * real * fun(real,fun(real,real)) ) > real ).

tff(func_def_4977,type,
    sK3924: ( fun(real,fun(real,real)) * fun(real,real) * real * real ) > real ).

tff(func_def_4978,type,
    sK3925: ( real * real * fun(real,real) * fun(real,fun(real,real)) ) > real ).

tff(func_def_4979,type,
    sK3926: 
      !>[X0: $tType] : ( ( fun(product_prod(X0,X0),$o) * real ) > X0 ) ).

tff(func_def_4980,type,
    sK3927: 
      !>[X0: $tType] : ( ( fun(product_prod(X0,X0),$o) * real ) > X0 ) ).

tff(func_def_4981,type,
    sK3928: 
      !>[X0: $tType] : ( fun(product_prod(X0,X0),$o) > real ) ).

tff(func_def_4982,type,
    sK3929: ( real * real * fun(real,real) ) > real ).

tff(func_def_4983,type,
    sK3930: ( real * real * fun(real,real) ) > real ).

tff(func_def_4984,type,
    sK3931: ( real * real * fun(real,real) ) > real ).

tff(func_def_4985,type,
    sK3932: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * X0 * filter(X1) ) > fun(product_prod(X0,X0),$o) ) ).

tff(func_def_4986,type,
    sK3933: ( real * real * fun(real,real) ) > real ).

tff(func_def_4987,type,
    sK3934: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * X1 * X1 ) > X1 ) ).

tff(func_def_4988,type,
    sK3935: ( fun(real,real) * real * real ) > real ).

tff(func_def_4989,type,
    sK3936: ( real * real * fun(real,real) ) > real ).

tff(func_def_4990,type,
    sK3937: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * set(X1) * fun(X1,set(X0)) ) > set(X1) ) ).

tff(func_def_4991,type,
    sK3938: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,set(X0)) ) > X1 ) ).

tff(func_def_4992,type,
    sK3939: 
      !>[X0: $tType] : ( ( set(X0) * set(set(X0)) ) > set(set(X0)) ) ).

tff(func_def_4993,type,
    sK3940: 
      !>[X0: $tType] : ( set(set(X0)) > set(X0) ) ).

tff(func_def_4994,type,
    sK3941: 
      !>[X0: $tType] : ( set(X0) > set(set(X0)) ) ).

tff(func_def_4995,type,
    sK3942: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_4996,type,
    sK3943: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_4997,type,
    sK3944: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_4998,type,
    sK3945: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_4999,type,
    sK3946: 
      !>[X0: $tType] : ( set(X0) > set(set(X0)) ) ).

tff(func_def_5000,type,
    sK3947: 
      !>[X0: $tType] : ( ( set(X0) * set(set(X0)) ) > set(set(X0)) ) ).

tff(func_def_5001,type,
    sK3948: 
      !>[X0: $tType] : ( set(set(X0)) > set(X0) ) ).

tff(func_def_5002,type,
    sK3949: ( fun(product_prod(nat,nat),$o) * nat ) > nat ).

tff(func_def_5003,type,
    sK3950: ( fun(product_prod(nat,nat),$o) * nat ) > nat ).

tff(func_def_5004,type,
    sK3951: fun(product_prod(nat,nat),$o) > nat ).

tff(func_def_5005,type,
    sK3952: 
      !>[X0: $tType,X1: $tType] : ( ( fun(product_prod(X0,X1),$o) * fun(X0,$o) * fun(X1,$o) ) > X0 ) ).

tff(func_def_5006,type,
    sK3953: 
      !>[X0: $tType,X1: $tType] : ( ( fun(product_prod(X0,X1),$o) * fun(X0,$o) * fun(X1,$o) ) > X1 ) ).

tff(func_def_5007,type,
    sK3954: 
      !>[X0: $tType,X1: $tType] : ( ( fun(product_prod(X0,X1),$o) * filter(X0) * filter(X1) ) > fun(X0,$o) ) ).

tff(func_def_5008,type,
    sK3955: 
      !>[X0: $tType,X1: $tType] : ( ( fun(product_prod(X0,X1),$o) * filter(X0) * filter(X1) ) > fun(X1,$o) ) ).

tff(func_def_5009,type,
    sK3956: 
      !>[X0: $tType] : ( ( fun(product_prod(X0,X0),$o) * fun(X0,$o) ) > X0 ) ).

tff(func_def_5010,type,
    sK3957: 
      !>[X0: $tType] : ( ( fun(product_prod(X0,X0),$o) * fun(X0,$o) ) > X0 ) ).

tff(func_def_5011,type,
    sK3958: 
      !>[X0: $tType] : ( ( fun(product_prod(X0,X0),$o) * filter(X0) ) > fun(X0,$o) ) ).

tff(func_def_5012,type,
    sK3959: 
      !>[X0: $tType] : ( ( X0 * X0 * fun(X0,$o) ) > fun(nat,X0) ) ).

tff(func_def_5013,type,
    sK3960: 
      !>[X0: $tType,X1: $tType] : ( fun(X1,X0) > X1 ) ).

tff(func_def_5014,type,
    sK3961: 
      !>[X0: $tType,X1: $tType] : ( fun(X1,X0) > X1 ) ).

tff(func_def_5015,type,
    sK3962: 
      !>[X0: $tType,X1: $tType] : ( fun(X1,X0) > X1 ) ).

tff(func_def_5016,type,
    sK3963: 
      !>[X0: $tType,X1: $tType] : ( fun(X1,X0) > X1 ) ).

tff(func_def_5017,type,
    sK3964: 
      !>[X0: $tType] : ( fun(nat,X0) > nat ) ).

tff(func_def_5018,type,
    sK3965: 
      !>[X0: $tType] : ( fun(nat,X0) > nat ) ).

tff(func_def_5019,type,
    sK3966: 
      !>[X0: $tType] : ( fun(nat,X0) > nat ) ).

tff(func_def_5020,type,
    sK3967: 
      !>[X0: $tType] : ( fun(nat,X0) > nat ) ).

tff(func_def_5021,type,
    sK3968: 
      !>[X0: $tType] : ( ( nat * set(product_prod(X0,X0)) * X0 * X0 ) > X0 ) ).

tff(func_def_5022,type,
    sK3969: 
      !>[X0: $tType] : ( ( X0 * X0 * nat * set(product_prod(X0,X0)) ) > X0 ) ).

tff(func_def_5023,type,
    sK3970: 
      !>[X0: $tType] : ( ( X0 * X0 * nat * set(product_prod(X0,X0)) ) > X0 ) ).

tff(func_def_5024,type,
    sK3971: 
      !>[X0: $tType] : ( ( X0 * X0 * nat * set(product_prod(X0,X0)) ) > X0 ) ).

tff(func_def_5025,type,
    sK3972: 
      !>[X0: $tType] : ( ( X0 * X0 * nat * set(product_prod(X0,X0)) ) > X0 ) ).

tff(func_def_5026,type,
    sK3973: 
      !>[X0: $tType] : ( ( X0 * X0 * nat * set(product_prod(X0,X0)) ) > nat ) ).

tff(func_def_5027,type,
    sK3974: 
      !>[X0: $tType] : ( ( X0 * X0 * nat * set(product_prod(X0,X0)) ) > X0 ) ).

tff(func_def_5028,type,
    sK3975: 
      !>[X0: $tType] : ( ( X0 * X0 * nat * set(product_prod(X0,X0)) ) > nat ) ).

tff(func_def_5029,type,
    sK3976: 
      !>[X0: $tType] : ( ( nat * set(product_prod(X0,X0)) * fun(nat,X0) ) > nat ) ).

tff(func_def_5030,type,
    sK3977: 
      !>[X0: $tType] : ( ( X0 * X0 * nat * set(product_prod(X0,X0)) ) > fun(nat,X0) ) ).

tff(func_def_5031,type,
    sK3978: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * filter(X0) ) > real ) ).

tff(func_def_5032,type,
    sK3979: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * filter(X0) * fun(X0,$o) ) > X0 ) ).

tff(func_def_5033,type,
    sK3980: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * filter(X0) * fun(X0,$o) ) > X0 ) ).

tff(func_def_5034,type,
    sK3981: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * filter(X0) * real ) > fun(X0,$o) ) ).

tff(func_def_5035,type,
    sK3982: 
      !>[X0: $tType] : ( fun(nat,X0) > nat ) ).

tff(func_def_5036,type,
    sK3983: 
      !>[X0: $tType] : ( fun(nat,X0) > nat ) ).

tff(func_def_5037,type,
    sK3984: 
      !>[X0: $tType,X1: $tType] : ( ( X1 * X1 * fun(X1,X0) * X0 ) > fun(nat,X1) ) ).

tff(func_def_5038,type,
    sK3985: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) * fun(nat,nat) ) > nat ) ).

tff(func_def_5039,type,
    sK3986: 
      !>[X0: $tType] : ( ( list(X0) * fun(nat,nat) ) > nat ) ).

tff(func_def_5040,type,
    sK3987: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) ) > fun(nat,nat) ) ).

tff(func_def_5041,type,
    sK3988: 
      !>[X0: $tType] : ( ( X0 * set(product_prod(X0,X0)) * fun(X0,$o) ) > X0 ) ).

tff(func_def_5042,type,
    sK3989: 
      !>[X0: $tType] : ( ( X0 * set(product_prod(X0,X0)) * fun(X0,$o) ) > X0 ) ).

tff(func_def_5043,type,
    sK3990: 
      !>[X0: $tType] : ( ( X0 * set(product_prod(X0,X0)) * fun(X0,$o) ) > X0 ) ).

tff(func_def_5044,type,
    sK3991: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,$o)) * set(product_prod(X0,X0)) ) > X0 ) ).

tff(func_def_5045,type,
    sK3992: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,$o)) * set(product_prod(X0,X0)) ) > X0 ) ).

tff(func_def_5046,type,
    sK3993: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,$o)) * set(product_prod(X0,X0)) ) > X0 ) ).

tff(func_def_5047,type,
    sK3994: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * fun(X0,fun(X0,$o)) ) > X0 ) ).

tff(func_def_5048,type,
    sK3995: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * fun(X0,fun(X0,$o)) ) > X0 ) ).

tff(func_def_5049,type,
    sK3996: 
      !>[X0: $tType] : ( set(product_prod(X0,X0)) > X0 ) ).

tff(func_def_5050,type,
    sK3997: 
      !>[X0: $tType] : ( ( X0 * X0 * set(product_prod(X0,X0)) ) > X0 ) ).

tff(func_def_5051,type,
    sK3998: 
      !>[X0: $tType] : ( ( X0 * set(product_prod(X0,X0)) * fun(X0,$o) ) > X0 ) ).

tff(func_def_5052,type,
    sK3999: 
      !>[X0: $tType] : ( ( X0 * set(product_prod(X0,X0)) * fun(X0,$o) ) > X0 ) ).

tff(func_def_5053,type,
    sK4000: 
      !>[X0: $tType] : ( ( X0 * set(product_prod(X0,X0)) * fun(X0,$o) ) > X0 ) ).

tff(func_def_5054,type,
    sK4001: 
      !>[X0: $tType] : ( ( X0 * X0 * set(product_prod(X0,X0)) ) > X0 ) ).

tff(func_def_5055,type,
    sK4002: 
      !>[X0: $tType] : ( ( X0 * X0 * set(product_prod(X0,X0)) ) > X0 ) ).

tff(func_def_5056,type,
    sK4003: 
      !>[X0: $tType] : ( ( X0 * X0 * set(product_prod(X0,X0)) ) > X0 ) ).

tff(func_def_5057,type,
    sK4004: 
      !>[X0: $tType] : ( ( X0 * X0 * set(product_prod(X0,X0)) ) > X0 ) ).

tff(func_def_5058,type,
    sK4005: 
      !>[X0: $tType] : ( ( X0 * X0 * set(product_prod(X0,X0)) ) > X0 ) ).

tff(func_def_5059,type,
    sK4006: 
      !>[X0: $tType] : ( ( X0 * X0 * set(product_prod(X0,X0)) ) > X0 ) ).

tff(func_def_5060,type,
    sK4007: 
      !>[X0: $tType] : ( ( X0 * X0 * set(product_prod(X0,X0)) ) > X0 ) ).

tff(func_def_5061,type,
    sK4008: 
      !>[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_5062,type,
    sK4009: 
      !>[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_5063,type,
    sK4010: 
      !>[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_5064,type,
    sK4011: 
      !>[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_5065,type,
    sK4012: 
      !>[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_5066,type,
    sK4013: 
      !>[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_5067,type,
    sK4014: 
      !>[X0: $tType] : ( ( product_prod(X0,X0) * set(product_prod(X0,X0)) ) > nat ) ).

tff(func_def_5068,type,
    sK4015: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * set(X0) * fun(X0,set(X1)) ) > set(X0) ) ).

tff(func_def_5069,type,
    sK4016: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,set(X1)) ) > X0 ) ).

tff(func_def_5070,type,
    sK4017: 
      !>[X0: $tType] : ( set(set(X0)) > set(X0) ) ).

tff(func_def_5071,type,
    sK4018: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,set(X0)) ) > X1 ) ).

tff(func_def_5072,type,
    sK4019: 
      !>[X0: $tType,X1: $tType] : ( fun(X1,X0) > X1 ) ).

tff(func_def_5073,type,
    sK4020: 
      !>[X0: $tType,X1: $tType] : ( fun(X1,X0) > X1 ) ).

tff(func_def_5074,type,
    sK4021: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * set(X1) ) > X1 ) ).

tff(func_def_5075,type,
    sK4022: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * set(X1) ) > X1 ) ).

tff(func_def_5076,type,
    sK4023: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_5077,type,
    sK4024: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_5078,type,
    sK4025: 
      !>[X0: $tType] : ( ( X0 * X0 * set(product_prod(X0,X0)) ) > X0 ) ).

tff(func_def_5079,type,
    sK4026: 
      !>[X0: $tType] : ( ( X0 * X0 ) > X0 ) ).

tff(func_def_5080,type,
    sK4027: 
      !>[X0: $tType] : ( ( X0 * X0 * set(product_prod(X0,X0)) ) > X0 ) ).

tff(func_def_5081,type,
    sK4028: 
      !>[X0: $tType] : ( ( X0 * X0 * set(product_prod(X0,X0)) ) > X0 ) ).

tff(func_def_5082,type,
    sK4029: 
      !>[X0: $tType] : ( ( X0 * X0 * set(product_prod(X0,X0)) ) > X0 ) ).

tff(func_def_5083,type,
    sK4030: 
      !>[X0: $tType] : ( ( X0 * X0 * set(product_prod(X0,X0)) ) > X0 ) ).

tff(func_def_5084,type,
    sK4031: 
      !>[X0: $tType] : ( ( X0 * set(product_prod(X0,X0)) * fun(X0,$o) ) > X0 ) ).

tff(func_def_5085,type,
    sK4032: 
      !>[X0: $tType] : ( ( X0 * set(product_prod(X0,X0)) * fun(X0,$o) ) > X0 ) ).

tff(func_def_5086,type,
    sK4033: 
      !>[X0: $tType] : ( ( X0 * X0 * set(product_prod(X0,X0)) ) > X0 ) ).

tff(func_def_5087,type,
    sK4034: 
      !>[X0: $tType] : ( ( X0 * set(product_prod(X0,X0)) * fun(X0,$o) ) > X0 ) ).

tff(func_def_5088,type,
    sK4035: 
      !>[X0: $tType] : ( ( X0 * set(product_prod(X0,X0)) * fun(X0,$o) ) > X0 ) ).

tff(func_def_5089,type,
    sK4036: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X1,X0) * set(X1) ) > set(X1) ) ).

tff(func_def_5090,type,
    sK4037: 
      !>[X0: $tType] : ( ( X0 * X0 * set(product_prod(X0,X0)) ) > X0 ) ).

tff(func_def_5091,type,
    sK4038: 
      !>[X0: $tType] : ( ( X0 * X0 * set(product_prod(X0,X0)) ) > X0 ) ).

tff(func_def_5092,type,
    sK4039: 
      !>[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_5093,type,
    sK4040: 
      !>[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_5094,type,
    sK4041: 
      !>[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_5095,type,
    sK4042: 
      !>[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_5096,type,
    sK4043: 
      !>[X0: $tType,X1: $tType] : ( ( X1 * X0 * X1 * X0 * set(product_prod(product_prod(X1,X0),product_prod(X1,X0))) ) > X1 ) ).

tff(func_def_5097,type,
    sK4044: 
      !>[X0: $tType,X1: $tType] : ( ( X1 * X0 * X1 * X0 * set(product_prod(product_prod(X1,X0),product_prod(X1,X0))) ) > X0 ) ).

tff(func_def_5098,type,
    sK4045: 
      !>[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_5099,type,
    sK4046: 
      !>[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_5100,type,
    sK4047: 
      !>[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_5101,type,
    sK4048: 
      !>[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_5102,type,
    sK4049: 
      !>[X0: $tType,X1: $tType] : ( ( set(set(X1)) * fun(X1,X0) ) > set(X1) ) ).

tff(func_def_5103,type,
    sK4050: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * set(X0) ) > fun(X1,X0) ) ).

tff(func_def_5104,type,
    sK4051: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * set(X0) ) > fun(X0,X1) ) ).

tff(func_def_5105,type,
    sK4052: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( set(X2) * fun(X2,set(X1)) * fun(X1,X0) ) > X2 ) ).

tff(func_def_5106,type,
    sK4053: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,set(X0)) ) > X1 ) ).

tff(func_def_5107,type,
    sK4054: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,set(X0)) ) > X1 ) ).

tff(func_def_5108,type,
    sK4055: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( set(X2) * fun(X1,X0) * fun(X2,set(X1)) ) > X2 ) ).

tff(func_def_5109,type,
    sK4056: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,X0) * X0 ) > X1 ) ).

tff(func_def_5110,type,
    sK4057: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * set(X0) * fun(X1,X0) ) > X0 ) ).

tff(func_def_5111,type,
    sK4058: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * set(X1) * fun(X1,set(X0)) ) > X1 ) ).

tff(func_def_5112,type,
    sK4059: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( set(X0) * fun(X0,set(X2)) * fun(X2,X1) ) > X0 ) ).

tff(func_def_5113,type,
    sK4060: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,set(X1)) ) > X0 ) ).

tff(func_def_5114,type,
    sK4061: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * set(X0) ) > fun(X1,X0) ) ).

tff(func_def_5115,type,
    sK4062: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * set(X1) ) > fun(X0,X1) ) ).

tff(func_def_5116,type,
    sK4063: 
      !>[X0: $tType] : ( ( set(X0) * set(set(X0)) ) > set(set(X0)) ) ).

tff(func_def_5117,type,
    sK4064: 
      !>[X0: $tType] : ( set(set(X0)) > set(X0) ) ).

tff(func_def_5118,type,
    sK4065: 
      !>[X0: $tType] : ( set(X0) > set(set(X0)) ) ).

tff(func_def_5119,type,
    sK4066: 
      !>[X0: $tType] : ( ( set(X0) * set(set(X0)) ) > set(set(X0)) ) ).

tff(func_def_5120,type,
    sK4067: 
      !>[X0: $tType] : ( set(set(X0)) > set(X0) ) ).

tff(func_def_5121,type,
    sK4068: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * set(X1) * fun(set(X0),$o) ) > set(X0) ) ).

tff(func_def_5122,type,
    sK4069: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * set(X1) * fun(set(X0),$o) ) > set(X1) ) ).

tff(func_def_5123,type,
    sK4070: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * set(X1) * fun(set(X0),$o) ) > set(X1) ) ).

tff(func_def_5124,type,
    sK4071: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * set(X1) * fun(set(X0),$o) ) > set(X0) ) ).

tff(func_def_5125,type,
    sK4072: ( set(nat) * nat ) > nat ).

tff(func_def_5126,type,
    sK4073: 
      !>[X0: $tType] : ( set(X0) > nat ) ).

tff(func_def_5127,type,
    sK4074: 
      !>[X0: $tType] : ( set(X0) > fun(nat,X0) ) ).

tff(func_def_5128,type,
    sK4075: 
      !>[X0: $tType] : ( set(X0) > fun(X0,nat) ) ).

tff(func_def_5129,type,
    sK4076: 
      !>[X0: $tType] : ( set(X0) > nat ) ).

tff(func_def_5130,type,
    sK4077: 
      !>[X0: $tType] : ( ( list(X0) * set(nat) ) > nat ) ).

tff(func_def_5131,type,
    sK4078: 
      !>[X0: $tType] : ( set(X0) > fun(nat,X0) ) ).

tff(func_def_5132,type,
    sK4079: 
      !>[X0: $tType] : ( set(X0) > fun(nat,X0) ) ).

tff(func_def_5133,type,
    sK4080: 
      !>[X0: $tType] : ( ( nat * fun(X0,X0) * X0 ) > nat ) ).

tff(func_def_5134,type,
    sK4081: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,X1) ) > real ) ).

tff(func_def_5135,type,
    sK4082: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,X1) * real ) > X0 ) ).

tff(func_def_5136,type,
    sK4083: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,X1) * real ) > X0 ) ).

tff(func_def_5137,type,
    sK4084: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,X1) * real ) > real ) ).

tff(func_def_5138,type,
    sK4085: 
      !>[X0: $tType,X1: $tType] : ( fun(X0,X1) > real ) ).

tff(func_def_5139,type,
    sK4086: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * real ) > X0 ) ).

tff(func_def_5140,type,
    sK4087: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * real ) > X0 ) ).

tff(func_def_5141,type,
    sK4088: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * real ) > real ) ).

tff(func_def_5142,type,
    sK4089: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,X1) ) > X0 ) ).

tff(func_def_5143,type,
    sK4090: 
      !>[X0: $tType,X1: $tType] : ( ( list(X1) * fun(X1,list(X0)) * fun(X1,list(X0)) ) > X1 ) ).

tff(func_def_5144,type,
    sK4091: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,fun(X0,X0)) ) > X1 ) ).

tff(func_def_5145,type,
    sK4092: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,fun(X0,X0)) ) > X1 ) ).

tff(func_def_5146,type,
    sK4093: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,fun(X0,X0)) ) > X1 ) ).

tff(func_def_5147,type,
    sK4094: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,fun(X0,X0)) ) > X1 ) ).

tff(func_def_5148,type,
    sK4095: ( vEBT_VEBT * nat ) > option(product_prod(nat,nat)) ).

tff(func_def_5149,type,
    sK4096: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_5150,type,
    sK4097: ( vEBT_VEBT * nat ) > list(vEBT_VEBT) ).

tff(func_def_5151,type,
    sK4098: ( vEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_5152,type,
    sK4099: ( vEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_5153,type,
    sK4100: vEBT_VEBT > $o ).

tff(func_def_5154,type,
    sK4101: vEBT_VEBT > $o ).

tff(func_def_5155,type,
    sK4102: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,$o) * fun(X0,fun(X1,$o)) ) > X1 ) ).

tff(func_def_5156,type,
    sK4103: 
      !>[X0: $tType] : ( fun(X0,$o) > X0 ) ).

tff(func_def_5157,type,
    sK4104: 
      !>[X0: $tType] : ( fun(X0,$o) > X0 ) ).

tff(func_def_5158,type,
    sK4105: 
      !>[X0: $tType] : ( ( set(X0) * fun(set(X0),$o) ) > set(X0) ) ).

tff(func_def_5159,type,
    sK4106: 
      !>[X0: $tType] : ( ( set(X0) * fun(X0,$o) ) > X0 ) ).

tff(func_def_5160,type,
    sK4107: 
      !>[X0: $tType] : ( ( set(X0) * fun(X0,$o) ) > X0 ) ).

tff(func_def_5161,type,
    sK4108: 
      !>[X0: $tType] : ( ( set(X0) * set(X0) * fun(X0,$o) ) > X0 ) ).

tff(func_def_5162,type,
    sK4109: 
      !>[X0: $tType] : ( ( set(X0) * set(X0) * fun(X0,$o) ) > X0 ) ).

tff(func_def_5163,type,
    sK4110: 
      !>[X0: $tType] : ( ( set(X0) * fun(X0,$o) ) > X0 ) ).

tff(func_def_5164,type,
    sK4111: 
      !>[X0: $tType] : ( ( set(X0) * fun(X0,$o) ) > X0 ) ).

tff(func_def_5165,type,
    sK4112: 
      !>[X0: $tType] : ( fun(X0,fun(X0,X0)) > X0 ) ).

tff(func_def_5166,type,
    sK4113: 
      !>[X0: $tType] : ( fun(X0,fun(X0,X0)) > X0 ) ).

tff(func_def_5167,type,
    sK4114: 
      !>[X0: $tType] : ( fun(X0,fun(X0,X0)) > X0 ) ).

tff(func_def_5168,type,
    sK4115: 
      !>[X0: $tType] : ( fun(X0,fun(X0,X0)) > X0 ) ).

tff(func_def_5169,type,
    sK4116: 
      !>[X0: $tType] : ( fun(X0,fun(X0,X0)) > X0 ) ).

tff(func_def_5170,type,
    sK4117: 
      !>[X0: $tType] : ( fun(X0,fun(X0,X0)) > X0 ) ).

tff(func_def_5171,type,
    sK4118: 
      !>[X0: $tType] : ( fun(X0,fun(X0,X0)) > X0 ) ).

tff(func_def_5172,type,
    sK4119: 
      !>[X0: $tType] : ( ( set(X0) * set(X0) * set(X0) ) > set(X0) ) ).

tff(func_def_5173,type,
    sK4120: 
      !>[X0: $tType] : ( ( set(X0) * set(X0) * set(X0) ) > set(X0) ) ).

tff(func_def_5174,type,
    sK4121: 
      !>[X0: $tType] : ( ( set(X0) * fun(X0,$o) ) > X0 ) ).

tff(func_def_5175,type,
    sK4122: 
      !>[X0: $tType] : ( ( X0 * set(product_prod(X0,X0)) * set(product_prod(X0,X0)) ) > X0 ) ).

tff(func_def_5176,type,
    sK4123: 
      !>[X0: $tType] : ( ( X0 * set(product_prod(X0,X0)) * set(product_prod(X0,X0)) ) > X0 ) ).

tff(func_def_5177,type,
    sK4124: 
      !>[X0: $tType] : ( ( X0 * set(product_prod(X0,X0)) * set(product_prod(X0,X0)) ) > X0 ) ).

tff(func_def_5178,type,
    sK4125: 
      !>[X0: $tType] : ( ( X0 * set(product_prod(X0,X0)) * set(product_prod(X0,X0)) ) > X0 ) ).

tff(func_def_5179,type,
    sK4126: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X1,fun(X0,$o)) * filter(X1) ) > X0 ) ).

tff(func_def_5180,type,
    sK4127: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X1,fun(X0,$o)) * filter(X1) ) > X0 ) ).

tff(func_def_5181,type,
    sK4128: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_5182,type,
    sK4129: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_5183,type,
    sK4130: 
      !>[X0: $tType] : ( ( fun(X0,$o) * option(X0) ) > X0 ) ).

tff(func_def_5184,type,
    sK4131: 
      !>[X0: $tType] : ( ( fun(set(X0),$o) * set(X0) * set(X0) ) > set(X0) ) ).

tff(func_def_5185,type,
    sK4132: 
      !>[X0: $tType] : ( ( fun(set(X0),$o) * set(X0) ) > set(X0) ) ).

tff(func_def_5186,type,
    sK4133: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_5187,type,
    sK4134: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_5188,type,
    sK4135: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_5189,type,
    sK4136: ( nat * list(vEBT_VEBT) ) > vEBT_VEBT ).

tff(func_def_5190,type,
    sK4137: 
      !>[X0: $tType] : ( ( fun(X0,X0) * X0 ) > nat ) ).

tff(func_def_5191,type,
    sK4138: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,set(X0)) * set(X0) * filter(X1) ) > set(X0) ) ).

tff(func_def_5192,type,
    sK4139: ( nat * $o * vEBT_VEBT ) > option(product_prod(nat,nat)) ).

tff(func_def_5193,type,
    sK4140: ( nat * $o * vEBT_VEBT ) > nat ).

tff(func_def_5194,type,
    sK4141: ( nat * $o * vEBT_VEBT ) > list(vEBT_VEBT) ).

tff(func_def_5195,type,
    sK4142: ( nat * $o * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_5196,type,
    sK4143: ( nat * $o * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_5197,type,
    sK4144: vEBT_VEBT > $o ).

tff(func_def_5198,type,
    sK4145: vEBT_VEBT > $o ).

tff(func_def_5199,type,
    sK4146: ( nat * vEBT_VEBT ) > option(product_prod(nat,nat)) ).

tff(func_def_5200,type,
    sK4147: ( nat * vEBT_VEBT ) > nat ).

tff(func_def_5201,type,
    sK4148: ( nat * vEBT_VEBT ) > list(vEBT_VEBT) ).

tff(func_def_5202,type,
    sK4149: ( nat * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_5203,type,
    sK4150: vEBT_VEBT > $o ).

tff(func_def_5204,type,
    sK4151: vEBT_VEBT > $o ).

tff(func_def_5205,type,
    sK4152: ( nat * vEBT_VEBT ) > option(product_prod(nat,nat)) ).

tff(func_def_5206,type,
    sK4153: ( nat * vEBT_VEBT ) > nat ).

tff(func_def_5207,type,
    sK4154: ( nat * vEBT_VEBT ) > list(vEBT_VEBT) ).

tff(func_def_5208,type,
    sK4155: ( nat * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_5209,type,
    sK4156: ( nat * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_5210,type,
    sK4157: ( vEBT_VEBT * nat ) > $o ).

tff(func_def_5211,type,
    sK4158: ( vEBT_VEBT * nat ) > $o ).

tff(func_def_5212,type,
    sK4159: ( nat * vEBT_VEBT ) > option(product_prod(nat,nat)) ).

tff(func_def_5213,type,
    sK4160: ( nat * vEBT_VEBT ) > nat ).

tff(func_def_5214,type,
    sK4161: ( nat * vEBT_VEBT ) > list(vEBT_VEBT) ).

tff(func_def_5215,type,
    sK4162: ( nat * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_5216,type,
    sK4163: ( vEBT_VEBT * nat ) > $o ).

tff(func_def_5217,type,
    sK4164: ( vEBT_VEBT * nat ) > $o ).

tff(func_def_5218,type,
    sK4165: ( nat * $o * vEBT_VEBT ) > $o ).

tff(func_def_5219,type,
    sK4166: ( nat * $o * vEBT_VEBT ) > $o ).

tff(func_def_5220,type,
    sK4167: ( nat * list(vEBT_VEBT) ) > vEBT_VEBT ).

tff(func_def_5221,type,
    sK4168: ( vEBT_VEBT * nat * $o ) > option(product_prod(nat,nat)) ).

tff(func_def_5222,type,
    sK4169: ( vEBT_VEBT * nat * $o ) > nat ).

tff(func_def_5223,type,
    sK4170: ( vEBT_VEBT * nat * $o ) > list(vEBT_VEBT) ).

tff(func_def_5224,type,
    sK4171: ( vEBT_VEBT * nat * $o ) > vEBT_VEBT ).

tff(func_def_5225,type,
    sK4172: 
      !>[X0: $tType] : ( ( list(list(X0)) * list(list(X0)) ) > product_prod(list(X0),list(X0)) ) ).

tff(func_def_5226,type,
    sK4173: 
      !>[X0: $tType] : ( ( list(list(X0)) * list(list(X0)) ) > product_prod(list(X0),list(X0)) ) ).

tff(func_def_5227,type,
    sK4174: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) ) > product_prod(X0,X0) ) ).

tff(func_def_5228,type,
    sK4175: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,fun(X0,X0)) * fun(X1,fun(X0,X0)) * set(X0) * set(X1) ) > X1 ) ).

tff(func_def_5229,type,
    sK4176: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,fun(X0,X0)) * fun(X1,fun(X0,X0)) * set(X0) * set(X1) ) > X0 ) ).

tff(func_def_5230,type,
    sK4177: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * set(X0) * fun(X1,fun(X0,X0)) ) > X1 ) ).

tff(func_def_5231,type,
    sK4178: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * set(X0) * fun(X1,fun(X0,X0)) ) > X0 ) ).

tff(func_def_5232,type,
    sK4179: 
      !>[X0: $tType,X1: $tType] : ( ( list(X1) * list(X0) * set(product_prod(X1,X0)) ) > product_prod(X1,X0) ) ).

tff(func_def_5233,type,
    sK4180: 
      !>[X0: $tType] : ( ( set(X0) * fun(X0,$o) ) > X0 ) ).

tff(func_def_5234,type,
    sK4181: 
      !>[X0: $tType,X1: $tType] : ( ( list(X1) * list(X0) * set(product_prod(X1,X0)) ) > nat ) ).

tff(func_def_5235,type,
    sK4182: 
      !>[X0: $tType] : ( ( set(X0) * set(X0) * set(product_prod(X0,X0)) ) > X0 ) ).

tff(func_def_5236,type,
    sK4183: 
      !>[X0: $tType] : ( ( set(X0) * set(X0) * set(product_prod(X0,X0)) ) > X0 ) ).

tff(func_def_5237,type,
    sK4184: 
      !>[X0: $tType] : ( ( set(X0) * set(product_prod(X0,X0)) * X0 ) > X0 ) ).

tff(func_def_5238,type,
    sK4185: 
      !>[X0: $tType] : ( ( set(X0) * set(product_prod(X0,X0)) * X0 ) > X0 ) ).

tff(func_def_5239,type,
    sK4186: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_5240,type,
    sK4187: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_5241,type,
    sK4188: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_5242,type,
    sK4189: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_5243,type,
    sK4190: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_5244,type,
    sK4191: 
      !>[X0: $tType] : ( fun(X0,X0) > X0 ) ).

tff(func_def_5245,type,
    sK4192: 
      !>[X0: $tType] : ( fun(X0,X0) > X0 ) ).

tff(func_def_5246,type,
    sK4193: 
      !>[X0: $tType] : ( fun(X0,X0) > X0 ) ).

tff(func_def_5247,type,
    sK4194: 
      !>[X0: $tType] : ( fun(X0,X0) > X0 ) ).

tff(func_def_5248,type,
    sK4195: 
      !>[X0: $tType] : X0 ).

tff(func_def_5249,type,
    sK4196: 
      !>[X0: $tType] : X0 ).

tff(func_def_5250,type,
    sK4197: 
      !>[X0: $tType] : X0 ).

tff(func_def_5251,type,
    sK4198: 
      !>[X0: $tType] : X0 ).

tff(func_def_5252,type,
    sK4199: 
      !>[X0: $tType,X1: $tType] : ( fun(X1,fun(X0,X0)) > X1 ) ).

tff(func_def_5253,type,
    sK4200: 
      !>[X0: $tType,X1: $tType] : ( fun(X1,fun(X0,X0)) > X1 ) ).

tff(func_def_5254,type,
    sK4201: 
      !>[X0: $tType,X1: $tType] : ( fun(X1,fun(X0,X0)) > X1 ) ).

tff(func_def_5255,type,
    sK4202: 
      !>[X0: $tType,X1: $tType] : ( fun(X1,fun(X0,X0)) > X1 ) ).

tff(func_def_5256,type,
    sK4203: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( X0 * X1 * set(product_prod(X0,X2)) * set(product_prod(X2,X1)) ) > X2 ) ).

tff(func_def_5257,type,
    sK4204: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( product_prod(X0,X1) * set(product_prod(X0,X2)) * set(product_prod(X2,X1)) ) > X0 ) ).

tff(func_def_5258,type,
    sK4205: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( product_prod(X0,X1) * set(product_prod(X0,X2)) * set(product_prod(X2,X1)) ) > X2 ) ).

tff(func_def_5259,type,
    sK4206: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( product_prod(X0,X1) * set(product_prod(X0,X2)) * set(product_prod(X2,X1)) ) > X1 ) ).

tff(func_def_5260,type,
    sK4207: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( X0 * X1 * set(product_prod(X0,X2)) * set(product_prod(X2,X1)) ) > X0 ) ).

tff(func_def_5261,type,
    sK4208: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( X0 * X1 * set(product_prod(X0,X2)) * set(product_prod(X2,X1)) ) > X2 ) ).

tff(func_def_5262,type,
    sK4209: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( X0 * X1 * set(product_prod(X0,X2)) * set(product_prod(X2,X1)) ) > X1 ) ).

tff(func_def_5263,type,
    sK4210: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( X0 * X1 * set(product_prod(X0,X2)) * set(product_prod(X2,X1)) ) > X2 ) ).

tff(func_def_5264,type,
    sK4211: 
      !>[X0: $tType,X1: $tType] : ( ( X0 * fun(fun(X1,X0),$o) ) > X1 ) ).

tff(func_def_5265,type,
    sK4212: 
      !>[X0: $tType,X1: $tType] : ( ( X0 * fun(fun(X1,X0),$o) ) > X0 ) ).

tff(func_def_5266,type,
    sK4213: 
      !>[X0: $tType,X1: $tType] : ( ( X0 * fun(fun(X1,X0),$o) ) > fun(X1,X0) ) ).

tff(func_def_5267,type,
    sK4214: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,fun(X0,X0)) ) > X1 ) ).

tff(func_def_5268,type,
    sK4215: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,fun(X0,X0)) ) > X1 ) ).

tff(func_def_5269,type,
    sK4216: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,fun(X0,X0)) ) > X1 ) ).

tff(func_def_5270,type,
    sK4217: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,fun(X0,X0)) ) > X1 ) ).

tff(func_def_5271,type,
    sK4218: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,fun(X0,X0)) * fun(X1,fun(X0,X0)) * set(X1) ) > X1 ) ).

tff(func_def_5272,type,
    sK4219: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,option(X1)) * X0 * X1 ) > X0 ) ).

tff(func_def_5273,type,
    sK4220: 
      !>[X0: $tType,X1: $tType] : ( ( X1 * fun(X0,option(X1)) * set(X0) ) > X0 ) ).

tff(func_def_5274,type,
    sK4221: 
      !>[X0: $tType,X1: $tType] : ( fun(X0,option(X1)) > X0 ) ).

tff(func_def_5275,type,
    sK4222: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_5276,type,
    sK4223: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_5277,type,
    sK4224: 
      !>[X0: $tType,X1: $tType] : ( ( X0 * fun(X0,option(X1)) ) > X1 ) ).

tff(func_def_5278,type,
    sK4225: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_5279,type,
    sK4226: 
      !>[X0: $tType,X1: $tType] : ( ( list(X1) * fun(X0,fun(X1,X0)) * fun(X0,fun(X1,X0)) ) > X0 ) ).

tff(func_def_5280,type,
    sK4227: 
      !>[X0: $tType,X1: $tType] : ( ( list(X1) * fun(X0,fun(X1,X0)) * fun(X0,fun(X1,X0)) ) > X1 ) ).

tff(func_def_5281,type,
    sK4228: 
      !>[X0: $tType,X1: $tType] : ( fun(X0,option(X1)) > X0 ) ).

tff(func_def_5282,type,
    sK4229: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_5283,type,
    sK4230: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_5284,type,
    sK4231: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_5285,type,
    sK4232: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_5286,type,
    sK4233: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_5287,type,
    sK4234: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_5288,type,
    sK4235: 
      !>[X0: $tType] : ( fun(X0,X0) > X0 ) ).

tff(func_def_5289,type,
    sK4236: 
      !>[X0: $tType] : ( fun(X0,X0) > X0 ) ).

tff(func_def_5290,type,
    sK4237: 
      !>[X0: $tType] : X0 ).

tff(func_def_5291,type,
    sK4238: 
      !>[X0: $tType] : X0 ).

tff(func_def_5292,type,
    sK4239: 
      !>[X0: $tType,X1: $tType] : ( fun(fun(X1,option(X0)),$o) > X1 ) ).

tff(func_def_5293,type,
    sK4240: 
      !>[X0: $tType,X1: $tType] : ( fun(fun(X1,option(X0)),$o) > X0 ) ).

tff(func_def_5294,type,
    sK4241: 
      !>[X0: $tType,X1: $tType] : ( fun(fun(X1,option(X0)),$o) > fun(X1,option(X0)) ) ).

tff(func_def_5295,type,
    sK4242: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,option(X1)) * X0 ) > X1 ) ).

tff(func_def_5296,type,
    sK4243: ( option(num) * num * num ) > num ).

tff(func_def_5297,type,
    sK4244: ( option(num) * num * num ) > num ).

tff(func_def_5298,type,
    sK4245: ( option(num) * num * num ) > num ).

tff(func_def_5299,type,
    sK4246: ( option(num) * num * num ) > num ).

tff(func_def_5300,type,
    sK4247: ( option(num) * num * num ) > num ).

tff(func_def_5301,type,
    sK4248: ( option(num) * num * num ) > num ).

tff(func_def_5302,type,
    sK4249: ( option(num) * num * num ) > num ).

tff(func_def_5303,type,
    sK4250: ( option(num) * num * num ) > num ).

tff(func_def_5304,type,
    sK4251: num > num ).

tff(func_def_5305,type,
    sK4252: num > num ).

tff(func_def_5306,type,
    sK4253: ( num * num * option(num) ) > num ).

tff(func_def_5307,type,
    sK4254: ( num * num * option(num) ) > num ).

tff(func_def_5308,type,
    sK4255: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * option(X0) * X1 ) > X0 ) ).

tff(func_def_5309,type,
    sK4256: 
      !>[X0: $tType,X1: $tType] : ( ( option(X1) * fun(X1,X0) * fun(X1,X0) ) > X1 ) ).

tff(func_def_5310,type,
    sK4257: ( option(num) * num * num ) > num ).

tff(func_def_5311,type,
    sK4258: ( option(num) * num * num ) > num ).

tff(func_def_5312,type,
    sK4259: ( option(num) * num * num ) > num ).

tff(func_def_5313,type,
    sK4260: ( option(num) * num * num ) > num ).

tff(func_def_5314,type,
    sK4261: ( option(num) * num * num ) > num ).

tff(func_def_5315,type,
    sK4262: ( option(num) * num * num ) > num ).

tff(func_def_5316,type,
    sK4263: ( option(num) * num * num ) > num ).

tff(func_def_5317,type,
    sK4264: ( option(num) * num * num ) > num ).

tff(func_def_5318,type,
    sK4265: ( option(num) * num ) > num ).

tff(func_def_5319,type,
    sK4266: ( option(num) * num ) > num ).

tff(func_def_5320,type,
    sK4267: ( num * num * option(num) ) > num ).

tff(func_def_5321,type,
    sK4268: ( num * num * option(num) ) > num ).

tff(func_def_5322,type,
    sK4269: ( option(num) * num * num ) > num ).

tff(func_def_5323,type,
    sK4270: ( option(num) * num * num ) > num ).

tff(func_def_5324,type,
    sK4271: num > num ).

tff(func_def_5325,type,
    sK4272: ( option(num) * num * num ) > num ).

tff(func_def_5326,type,
    sK4273: ( option(num) * num * num ) > num ).

tff(func_def_5327,type,
    sK4274: ( option(num) * num * num ) > num ).

tff(func_def_5328,type,
    sK4275: ( option(num) * num * num ) > num ).

tff(func_def_5329,type,
    sK4276: num > num ).

tff(func_def_5330,type,
    sK4277: num > num ).

tff(func_def_5331,type,
    sK4278: num > num ).

tff(func_def_5332,type,
    sK4279: ( num * num * option(num) ) > num ).

tff(func_def_5333,type,
    sK4280: ( num * num * option(num) ) > num ).

tff(func_def_5334,type,
    sK4281: 
      !>[X0: $tType] : ( ( list(X0) * set(nat) ) > nat ) ).

tff(func_def_5335,type,
    sK4282: real > real ).

tff(func_def_5336,type,
    sK4283: ( real * real ) > real ).

tff(func_def_5337,type,
    sK4284: fun(real,real) > real ).

tff(func_def_5338,type,
    sK4285: ( fun(real,real) * fun(real,real) ) > real ).

tff(func_def_5339,type,
    sK4286: 
      !>[X0: $tType,X1: $tType] : ( fun(X1,X0) > X1 ) ).

tff(func_def_5340,type,
    sK4287: 
      !>[X0: $tType,X1: $tType] : ( fun(X1,X0) > X1 ) ).

tff(func_def_5341,type,
    sK4288: 
      !>[X0: $tType,X1: $tType] : ( fun(X1,X0) > X1 ) ).

tff(func_def_5342,type,
    sK4289: 
      !>[X0: $tType,X1: $tType] : ( fun(X1,X0) > X1 ) ).

tff(func_def_5343,type,
    sK4290: set(nat) > fun(nat,nat) ).

tff(func_def_5344,type,
    sK4291: 
      !>[X0: $tType] : ( fun(nat,X0) > nat ) ).

tff(func_def_5345,type,
    sK4292: 
      !>[X0: $tType] : ( ( fun(nat,nat) * fun(nat,X0) ) > nat ) ).

tff(func_def_5346,type,
    sK4293: 
      !>[X0: $tType] : ( ( fun(nat,nat) * fun(nat,X0) ) > nat ) ).

tff(func_def_5347,type,
    sK4294: 
      !>[X0: $tType] : ( ( fun(nat,nat) * fun(nat,X0) ) > nat ) ).

tff(func_def_5348,type,
    sK4295: 
      !>[X0: $tType] : ( fun(nat,X0) > nat ) ).

tff(func_def_5349,type,
    sK4296: 
      !>[X0: $tType] : ( fun(nat,X0) > nat ) ).

tff(func_def_5350,type,
    sK4297: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) ) > nat ) ).

tff(func_def_5351,type,
    sK4298: 
      !>[X0: $tType,X1: $tType] : ( ( list(X0) * list(X1) * fun(list(product_prod(X0,X1)),$o) ) > list(X0) ) ).

tff(func_def_5352,type,
    sK4299: 
      !>[X0: $tType,X1: $tType] : ( ( list(X0) * list(X1) * fun(list(product_prod(X0,X1)),$o) ) > list(X1) ) ).

tff(func_def_5353,type,
    sK4300: 
      !>[X0: $tType,X1: $tType] : ( ( list(X0) * list(X1) * fun(list(product_prod(X0,X1)),$o) ) > nat ) ).

tff(func_def_5354,type,
    sK4301: 
      !>[X0: $tType] : ( ( nat * list(X0) * list(X0) ) > nat ) ).

tff(func_def_5355,type,
    sK4302: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) * set(product_prod(X0,X0)) ) > nat ) ).

tff(func_def_5356,type,
    sK4303: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) * set(product_prod(X0,X0)) ) > nat ) ).

tff(func_def_5357,type,
    sK4304: 
      !>[X0: $tType] : ( set(product_prod(X0,X0)) > X0 ) ).

tff(func_def_5358,type,
    sK4305: 
      !>[X0: $tType] : ( set(product_prod(X0,X0)) > X0 ) ).

tff(func_def_5359,type,
    sK4306: 
      !>[X0: $tType] : ( set(product_prod(X0,X0)) > X0 ) ).

tff(func_def_5360,type,
    sK4307: 
      !>[X0: $tType] : ( ( list(X0) * set(product_prod(X0,X0)) ) > X0 ) ).

tff(func_def_5361,type,
    sK4308: 
      !>[X0: $tType] : ( ( list(X0) * set(product_prod(X0,X0)) ) > X0 ) ).

tff(func_def_5362,type,
    sK4309: 
      !>[X0: $tType] : ( ( list(X0) * set(product_prod(X0,X0)) ) > X0 ) ).

tff(func_def_5363,type,
    sK4310: 
      !>[X0: $tType] : ( set(product_prod(X0,X0)) > X0 ) ).

tff(func_def_5364,type,
    sK4311: 
      !>[X0: $tType] : ( ( set(X0) * set(product_prod(X0,X0)) ) > product_prod(X0,X0) ) ).

tff(func_def_5365,type,
    sK4312: 
      !>[X0: $tType] : ( ( set(X0) * set(product_prod(X0,X0)) ) > X0 ) ).

tff(func_def_5366,type,
    sK4313: 
      !>[X0: $tType,X1: $tType] : ( list(product_prod(X1,X0)) > X1 ) ).

tff(func_def_5367,type,
    sK4314: 
      !>[X0: $tType,X1: $tType] : ( ( X0 * list(product_prod(X0,X1)) ) > X1 ) ).

tff(func_def_5368,type,
    sK4315: 
      !>[X0: $tType,X1: $tType] : ( ( list(X0) * list(X1) * X0 ) > X1 ) ).

tff(func_def_5369,type,
    sK4316: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * list(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_5370,type,
    sK4317: 
      !>[X0: $tType,X1: $tType] : ( ( list(X1) * fun(X1,X0) * fun(X1,X0) ) > X1 ) ).

tff(func_def_5371,type,
    sK4318: 
      !>[X0: $tType,X1: $tType] : ( ( list(X1) * fun(X1,X0) * fun(X1,X0) ) > X1 ) ).

tff(func_def_5372,type,
    sK4319: 
      !>[X0: $tType,X1: $tType] : ( ( list(X1) * list(X1) * fun(X1,X0) * fun(X1,X0) ) > X1 ) ).

tff(func_def_5373,type,
    sK4320: 
      !>[X0: $tType,X1: $tType] : ( ( list(X1) * list(X1) * fun(X1,X0) * fun(X1,X0) ) > X1 ) ).

tff(func_def_5374,type,
    sK4321: 
      !>[X0: $tType,X1: $tType] : ( ( list(X1) * fun(X1,X0) * fun(X1,X0) ) > X1 ) ).

tff(func_def_5375,type,
    sK4322: 
      !>[X0: $tType] : ( ( list(X0) * fun(X0,X0) ) > X0 ) ).

tff(func_def_5376,type,
    sK4323: 
      !>[X0: $tType,X1: $tType] : ( ( list(X1) * fun(X1,X0) * fun(X1,X0) ) > X1 ) ).

tff(func_def_5377,type,
    sK4324: 
      !>[X0: $tType,X1: $tType] : ( ( list(X0) * fun(X1,X0) ) > list(X1) ) ).

tff(func_def_5378,type,
    sK4325: 
      !>[X0: $tType,X1: $tType] : ( ( list(X0) * fun(X1,X0) ) > X0 ) ).

tff(func_def_5379,type,
    sK4326: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * X0 ) > X1 ) ).

tff(func_def_5380,type,
    sK4327: 
      !>[X0: $tType,X1: $tType] : ( ( list(product_prod(X1,X0)) * list(product_prod(X1,X0)) ) > X1 ) ).

tff(func_def_5381,type,
    sK4328: 
      !>[X0: $tType] : ( list(X0) > X0 ) ).

tff(func_def_5382,type,
    sK4329: 
      !>[X0: $tType] : ( list(X0) > list(X0) ) ).

tff(func_def_5383,type,
    sK4330: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * list(X0) * X1 * list(X1) ) > X0 ) ).

tff(func_def_5384,type,
    sK4331: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * list(X0) * X1 * list(X1) ) > list(X0) ) ).

tff(func_def_5385,type,
    sK4332: 
      !>[X0: $tType,X1: $tType] : ( ( X0 * list(X0) * fun(X1,X0) * list(X1) ) > X1 ) ).

tff(func_def_5386,type,
    sK4333: 
      !>[X0: $tType,X1: $tType] : ( ( X0 * list(X0) * fun(X1,X0) * list(X1) ) > list(X1) ) ).

tff(func_def_5387,type,
    sK4334: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * list(X0) * X1 * list(X1) ) > X0 ) ).

tff(func_def_5388,type,
    sK4335: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * list(X0) * X1 * list(X1) ) > list(X0) ) ).

tff(func_def_5389,type,
    sK4336: 
      !>[X0: $tType,X1: $tType] : ( ( X0 * list(X0) * fun(X1,X0) * list(X1) ) > X1 ) ).

tff(func_def_5390,type,
    sK4337: 
      !>[X0: $tType,X1: $tType] : ( ( X0 * list(X0) * fun(X1,X0) * list(X1) ) > list(X1) ) ).

tff(func_def_5391,type,
    sK4338: 
      !>[X0: $tType,X1: $tType] : ( product_prod(fun(X0,X1),product_prod(list(X0),list(X1))) > fun(X0,X1) ) ).

tff(func_def_5392,type,
    sK4339: 
      !>[X0: $tType,X1: $tType] : ( product_prod(fun(X0,X1),product_prod(list(X0),list(X1))) > X0 ) ).

tff(func_def_5393,type,
    sK4340: 
      !>[X0: $tType,X1: $tType] : ( product_prod(fun(X0,X1),product_prod(list(X0),list(X1))) > list(X0) ) ).

tff(func_def_5394,type,
    sK4341: 
      !>[X0: $tType,X1: $tType] : ( product_prod(fun(X0,X1),product_prod(list(X0),list(X1))) > list(X1) ) ).

tff(func_def_5395,type,
    sK4342: 
      !>[X0: $tType,X1: $tType] : ( product_prod(fun(X0,X1),product_prod(list(X0),list(X1))) > fun(X0,X1) ) ).

tff(func_def_5396,type,
    sK4343: 
      !>[X0: $tType,X1: $tType] : ( product_prod(fun(X0,X1),product_prod(list(X0),list(X1))) > list(X1) ) ).

tff(func_def_5397,type,
    sK4344: 
      !>[X0: $tType] : ( product_prod(list(X0),list(X0)) > X0 ) ).

tff(func_def_5398,type,
    sK4345: 
      !>[X0: $tType] : ( product_prod(list(X0),list(X0)) > list(X0) ) ).

tff(func_def_5399,type,
    sK4346: 
      !>[X0: $tType] : ( product_prod(list(X0),list(X0)) > X0 ) ).

tff(func_def_5400,type,
    sK4347: 
      !>[X0: $tType] : ( product_prod(list(X0),list(X0)) > list(X0) ) ).

tff(func_def_5401,type,
    sK4348: 
      !>[X0: $tType] : ( product_prod(list(X0),list(X0)) > list(X0) ) ).

tff(func_def_5402,type,
    sK4349: 
      !>[X0: $tType] : ( product_prod(list(X0),list(X0)) > list(X0) ) ).

tff(func_def_5403,type,
    sK4350: 
      !>[X0: $tType] : ( product_prod(list(X0),list(X0)) > X0 ) ).

tff(func_def_5404,type,
    sK4351: 
      !>[X0: $tType] : ( product_prod(list(X0),list(X0)) > list(X0) ) ).

tff(func_def_5405,type,
    sK4352: 
      !>[X0: $tType] : ( product_prod(list(X0),list(X0)) > list(X0) ) ).

tff(func_def_5406,type,
    sK4353: 
      !>[X0: $tType] : ( product_prod(list(X0),list(X0)) > list(X0) ) ).

tff(func_def_5407,type,
    sK4354: 
      !>[X0: $tType] : ( ( X0 * list(X0) ) > X0 ) ).

tff(func_def_5408,type,
    sK4355: 
      !>[X0: $tType] : ( ( X0 * list(X0) ) > list(X0) ) ).

tff(func_def_5409,type,
    sK4356: 
      !>[X0: $tType] : ( ( X0 * list(X0) ) > list(X0) ) ).

tff(func_def_5410,type,
    sK4357: 
      !>[X0: $tType] : ( fun(list(X0),$o) > X0 ) ).

tff(func_def_5411,type,
    sK4358: 
      !>[X0: $tType] : ( fun(list(X0),$o) > list(X0) ) ).

tff(func_def_5412,type,
    sK4359: 
      !>[X0: $tType] : ( fun(list(X0),$o) > X0 ) ).

tff(func_def_5413,type,
    sK4360: 
      !>[X0: $tType,X1: $tType] : ( fun(list(X0),fun(list(X1),$o)) > X0 ) ).

tff(func_def_5414,type,
    sK4361: 
      !>[X0: $tType,X1: $tType] : ( fun(list(X0),fun(list(X1),$o)) > list(X0) ) ).

tff(func_def_5415,type,
    sK4362: 
      !>[X0: $tType,X1: $tType] : ( fun(list(X0),fun(list(X1),$o)) > X1 ) ).

tff(func_def_5416,type,
    sK4363: 
      !>[X0: $tType,X1: $tType] : ( fun(list(X0),fun(list(X1),$o)) > list(X1) ) ).

tff(func_def_5417,type,
    sK4364: 
      !>[X0: $tType,X1: $tType] : ( fun(list(X0),fun(list(X1),$o)) > X1 ) ).

tff(func_def_5418,type,
    sK4365: 
      !>[X0: $tType,X1: $tType] : ( fun(list(X0),fun(list(X1),$o)) > list(X1) ) ).

tff(func_def_5419,type,
    sK4366: 
      !>[X0: $tType,X1: $tType] : ( fun(list(X0),fun(list(X1),$o)) > X0 ) ).

tff(func_def_5420,type,
    sK4367: 
      !>[X0: $tType,X1: $tType] : ( fun(list(X0),fun(list(X1),$o)) > list(X0) ) ).

tff(func_def_5421,type,
    sK4368: 
      !>[X0: $tType] : ( list(X0) > X0 ) ).

tff(func_def_5422,type,
    sK4369: 
      !>[X0: $tType] : ( list(X0) > list(X0) ) ).

tff(func_def_5423,type,
    sK4370: 
      !>[X0: $tType] : ( list(X0) > X0 ) ).

tff(func_def_5424,type,
    sK4371: 
      !>[X0: $tType] : ( list(X0) > X0 ) ).

tff(func_def_5425,type,
    sK4372: 
      !>[X0: $tType] : ( list(X0) > list(X0) ) ).

tff(func_def_5426,type,
    sK4373: 
      !>[X0: $tType] : ( list(X0) > X0 ) ).

tff(func_def_5427,type,
    sK4374: 
      !>[X0: $tType] : ( list(list(X0)) > X0 ) ).

tff(func_def_5428,type,
    sK4375: 
      !>[X0: $tType] : ( list(list(X0)) > list(X0) ) ).

tff(func_def_5429,type,
    sK4376: 
      !>[X0: $tType] : ( list(list(X0)) > list(list(X0)) ) ).

tff(func_def_5430,type,
    sK4377: 
      !>[X0: $tType] : ( list(list(X0)) > list(list(X0)) ) ).

tff(func_def_5431,type,
    sK4378: 
      !>[X0: $tType] : ( list(X0) > X0 ) ).

tff(func_def_5432,type,
    sK4379: 
      !>[X0: $tType] : ( list(X0) > list(X0) ) ).

tff(func_def_5433,type,
    sK4380: 
      !>[X0: $tType] : ( list(X0) > X0 ) ).

tff(func_def_5434,type,
    sK4381: 
      !>[X0: $tType] : ( list(X0) > list(X0) ) ).

tff(func_def_5435,type,
    sK4382: 
      !>[X0: $tType] : ( ( list(X0) * nat ) > X0 ) ).

tff(func_def_5436,type,
    sK4383: 
      !>[X0: $tType] : ( ( list(X0) * nat ) > list(X0) ) ).

tff(func_def_5437,type,
    sK4384: 
      !>[X0: $tType] : ( ( nat * list(X0) ) > X0 ) ).

tff(func_def_5438,type,
    sK4385: 
      !>[X0: $tType] : ( ( nat * list(X0) ) > list(X0) ) ).

tff(func_def_5439,type,
    sK4386: 
      !>[X0: $tType,X1: $tType] : ( fun(list(X0),fun(list(X1),$o)) > X0 ) ).

tff(func_def_5440,type,
    sK4387: 
      !>[X0: $tType,X1: $tType] : ( fun(list(X0),fun(list(X1),$o)) > list(X0) ) ).

tff(func_def_5441,type,
    sK4388: 
      !>[X0: $tType,X1: $tType] : ( fun(list(X0),fun(list(X1),$o)) > X1 ) ).

tff(func_def_5442,type,
    sK4389: 
      !>[X0: $tType,X1: $tType] : ( fun(list(X0),fun(list(X1),$o)) > list(X1) ) ).

tff(func_def_5443,type,
    sK4390: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( fun(list(X1),fun(list(X0),fun(list(X2),$o))) > X1 ) ).

tff(func_def_5444,type,
    sK4391: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( fun(list(X1),fun(list(X0),fun(list(X2),$o))) > list(X1) ) ).

tff(func_def_5445,type,
    sK4392: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( fun(list(X1),fun(list(X0),fun(list(X2),$o))) > X0 ) ).

tff(func_def_5446,type,
    sK4393: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( fun(list(X1),fun(list(X0),fun(list(X2),$o))) > list(X0) ) ).

tff(func_def_5447,type,
    sK4394: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( fun(list(X1),fun(list(X0),fun(list(X2),$o))) > X2 ) ).

tff(func_def_5448,type,
    sK4395: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( fun(list(X1),fun(list(X0),fun(list(X2),$o))) > list(X2) ) ).

tff(func_def_5449,type,
    sK4396: 
      !>[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_5450,type,
    sK4397: 
      !>[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_5451,type,
    sK4398: 
      !>[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_5452,type,
    sK4399: 
      !>[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_5453,type,
    sK4400: 
      !>[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_5454,type,
    sK4401: 
      !>[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_5455,type,
    sK4402: 
      !>[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_5456,type,
    sK4403: 
      !>[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_5457,type,
    sK4404: 
      !>[X0: $tType] : ( ( set(X0) * set(product_prod(X0,X0)) ) > X0 ) ).

tff(func_def_5458,type,
    sK4405: 
      !>[X0: $tType] : ( ( set(X0) * set(product_prod(X0,X0)) ) > X0 ) ).

tff(func_def_5459,type,
    sK4406: 
      !>[X0: $tType] : ( ( set(X0) * set(product_prod(X0,X0)) ) > X0 ) ).

tff(func_def_5460,type,
    sK4407: 
      !>[X0: $tType] : ( ( set(X0) * set(product_prod(X0,X0)) ) > X0 ) ).

tff(func_def_5461,type,
    sK4408: 
      !>[X0: $tType] : ( product_prod(fun(X0,fun(X0,$o)),list(X0)) > fun(X0,fun(X0,$o)) ) ).

tff(func_def_5462,type,
    sK4409: 
      !>[X0: $tType] : ( product_prod(fun(X0,fun(X0,$o)),list(X0)) > X0 ) ).

tff(func_def_5463,type,
    sK4410: 
      !>[X0: $tType] : ( product_prod(fun(X0,fun(X0,$o)),list(X0)) > X0 ) ).

tff(func_def_5464,type,
    sK4411: 
      !>[X0: $tType] : ( product_prod(fun(X0,fun(X0,$o)),list(X0)) > list(X0) ) ).

tff(func_def_5465,type,
    sK4412: 
      !>[X0: $tType] : ( product_prod(fun(X0,fun(X0,$o)),list(X0)) > fun(X0,fun(X0,$o)) ) ).

tff(func_def_5466,type,
    sK4413: 
      !>[X0: $tType] : ( product_prod(fun(X0,fun(X0,$o)),list(X0)) > X0 ) ).

tff(func_def_5467,type,
    sK4414: 
      !>[X0: $tType] : ( product_prod(fun(X0,fun(X0,$o)),list(X0)) > fun(X0,fun(X0,$o)) ) ).

tff(func_def_5468,type,
    sK4415: 
      !>[X0: $tType,X1: $tType] : ( product_prod(fun(X1,X0),list(X1)) > fun(X1,X0) ) ).

tff(func_def_5469,type,
    sK4416: 
      !>[X0: $tType,X1: $tType] : ( product_prod(fun(X1,X0),list(X1)) > fun(X1,X0) ) ).

tff(func_def_5470,type,
    sK4417: 
      !>[X0: $tType,X1: $tType] : ( product_prod(fun(X1,X0),list(X1)) > X1 ) ).

tff(func_def_5471,type,
    sK4418: 
      !>[X0: $tType,X1: $tType] : ( product_prod(fun(X1,X0),list(X1)) > X1 ) ).

tff(func_def_5472,type,
    sK4419: 
      !>[X0: $tType,X1: $tType] : ( product_prod(fun(X1,X0),list(X1)) > list(X1) ) ).

tff(func_def_5473,type,
    sK4420: 
      !>[X0: $tType,X1: $tType] : ( product_prod(fun(X1,X0),list(X1)) > fun(X1,X0) ) ).

tff(func_def_5474,type,
    sK4421: 
      !>[X0: $tType,X1: $tType] : ( product_prod(fun(X1,X0),list(X1)) > X1 ) ).

tff(func_def_5475,type,
    sK4422: 
      !>[X0: $tType] : ( product_prod(fun(X0,fun(X0,$o)),list(X0)) > fun(X0,fun(X0,$o)) ) ).

tff(func_def_5476,type,
    sK4423: 
      !>[X0: $tType] : ( product_prod(fun(X0,fun(X0,$o)),list(X0)) > X0 ) ).

tff(func_def_5477,type,
    sK4424: 
      !>[X0: $tType] : ( product_prod(fun(X0,fun(X0,$o)),list(X0)) > list(X0) ) ).

tff(func_def_5478,type,
    sK4425: 
      !>[X0: $tType] : ( product_prod(fun(X0,fun(X0,$o)),list(X0)) > fun(X0,fun(X0,$o)) ) ).

tff(func_def_5479,type,
    sK4426: 
      !>[X0: $tType,X1: $tType] : ( ( list(X0) * list(X1) * product_prod(X0,X1) * list(product_prod(X0,X1)) ) > X0 ) ).

tff(func_def_5480,type,
    sK4427: 
      !>[X0: $tType,X1: $tType] : ( ( list(X0) * list(X1) * product_prod(X0,X1) * list(product_prod(X0,X1)) ) > list(X0) ) ).

tff(func_def_5481,type,
    sK4428: 
      !>[X0: $tType,X1: $tType] : ( ( list(X0) * list(X1) * product_prod(X0,X1) * list(product_prod(X0,X1)) ) > X1 ) ).

tff(func_def_5482,type,
    sK4429: 
      !>[X0: $tType,X1: $tType] : ( ( list(X0) * list(X1) * product_prod(X0,X1) * list(product_prod(X0,X1)) ) > list(X1) ) ).

tff(func_def_5483,type,
    sK4430: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) ) > X0 ) ).

tff(func_def_5484,type,
    sK4431: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) ) > X0 ) ).

tff(func_def_5485,type,
    sK4432: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) ) > list(X0) ) ).

tff(func_def_5486,type,
    sK4433: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) ) > X0 ) ).

tff(func_def_5487,type,
    sK4434: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) * list(X0) ) > X0 ) ).

tff(func_def_5488,type,
    sK4435: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) * list(X0) ) > list(X0) ) ).

tff(func_def_5489,type,
    sK4436: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) * list(X0) ) > X0 ) ).

tff(func_def_5490,type,
    sK4437: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) * list(X0) ) > list(X0) ) ).

tff(func_def_5491,type,
    sK4438: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) * list(X0) ) > X0 ) ).

tff(func_def_5492,type,
    sK4439: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) * list(X0) ) > list(X0) ) ).

tff(func_def_5493,type,
    sK4440: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) * list(X0) ) > X0 ) ).

tff(func_def_5494,type,
    sK4441: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) * list(X0) ) > list(X0) ) ).

tff(func_def_5495,type,
    sK4442: 
      !>[X0: $tType,X1: $tType] : ( ( list(X0) * list(X1) * fun(X0,fun(X1,$o)) ) > X0 ) ).

tff(func_def_5496,type,
    sK4443: 
      !>[X0: $tType,X1: $tType] : ( ( list(X0) * list(X1) * fun(X0,fun(X1,$o)) ) > X1 ) ).

tff(func_def_5497,type,
    sK4444: 
      !>[X0: $tType,X1: $tType] : ( ( list(X0) * list(X1) * fun(X0,fun(X1,$o)) ) > list(X0) ) ).

tff(func_def_5498,type,
    sK4445: 
      !>[X0: $tType,X1: $tType] : ( ( list(X0) * list(X1) * fun(X0,fun(X1,$o)) ) > list(X1) ) ).

tff(func_def_5499,type,
    sK4446: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,fun(X1,$o)) * list(X0) * list(X1) ) > X0 ) ).

tff(func_def_5500,type,
    sK4447: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,fun(X1,$o)) * list(X0) * list(X1) ) > X1 ) ).

tff(func_def_5501,type,
    sK4448: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,fun(X1,$o)) * list(X0) * list(X1) ) > list(X0) ) ).

tff(func_def_5502,type,
    sK4449: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,fun(X1,$o)) * list(X0) * list(X1) ) > list(X1) ) ).

tff(func_def_5503,type,
    sK4450: 
      !>[X0: $tType] : ( ( nat * list(X0) ) > X0 ) ).

tff(func_def_5504,type,
    sK4451: 
      !>[X0: $tType] : ( ( nat * list(X0) ) > list(X0) ) ).

tff(func_def_5505,type,
    sK4452: 
      !>[X0: $tType,X1: $tType] : ( ( list(X1) * fun(X1,X0) * X1 ) > X1 ) ).

tff(func_def_5506,type,
    sK4453: 
      !>[X0: $tType] : ( ( X0 * list(X0) * list(X0) * set(product_prod(X0,X0)) ) > list(X0) ) ).

tff(func_def_5507,type,
    sK4454: 
      !>[X0: $tType] : ( ( X0 * list(X0) * list(X0) * set(product_prod(X0,X0)) ) > X0 ) ).

tff(func_def_5508,type,
    sK4455: 
      !>[X0: $tType] : ( ( list(X0) * X0 * list(X0) * set(product_prod(X0,X0)) ) > list(X0) ) ).

tff(func_def_5509,type,
    sK4456: 
      !>[X0: $tType] : ( ( list(X0) * X0 * list(X0) * set(product_prod(X0,X0)) ) > X0 ) ).

tff(func_def_5510,type,
    sK4457: 
      !>[X0: $tType,X1: $tType] : ( ( list(X1) * X0 * list(X0) * set(product_prod(X1,X0)) ) > X1 ) ).

tff(func_def_5511,type,
    sK4458: 
      !>[X0: $tType,X1: $tType] : ( ( list(X1) * X0 * list(X0) * set(product_prod(X1,X0)) ) > list(X1) ) ).

tff(func_def_5512,type,
    sK4459: 
      !>[X0: $tType,X1: $tType] : ( ( X1 * list(X1) * list(X0) * set(product_prod(X1,X0)) ) > X0 ) ).

tff(func_def_5513,type,
    sK4460: 
      !>[X0: $tType,X1: $tType] : ( ( X1 * list(X1) * list(X0) * set(product_prod(X1,X0)) ) > list(X0) ) ).

tff(func_def_5514,type,
    sK4461: 
      !>[X0: $tType,X1: $tType] : ( ( list(X1) * list(X0) * set(product_prod(X1,X0)) ) > X1 ) ).

tff(func_def_5515,type,
    sK4462: 
      !>[X0: $tType,X1: $tType] : ( ( list(X1) * list(X0) * set(product_prod(X1,X0)) ) > X0 ) ).

tff(func_def_5516,type,
    sK4463: 
      !>[X0: $tType,X1: $tType] : ( ( list(X1) * list(X0) * set(product_prod(X1,X0)) ) > list(X1) ) ).

tff(func_def_5517,type,
    sK4464: 
      !>[X0: $tType,X1: $tType] : ( ( list(X1) * list(X0) * set(product_prod(X1,X0)) ) > list(X0) ) ).

tff(func_def_5518,type,
    sK4465: 
      !>[X0: $tType,X1: $tType] : ( ( list(X0) * list(X1) * set(product_prod(X0,X1)) ) > X0 ) ).

tff(func_def_5519,type,
    sK4466: 
      !>[X0: $tType,X1: $tType] : ( ( list(X0) * list(X1) * set(product_prod(X0,X1)) ) > X1 ) ).

tff(func_def_5520,type,
    sK4467: 
      !>[X0: $tType,X1: $tType] : ( ( list(X0) * list(X1) * set(product_prod(X0,X1)) ) > list(X0) ) ).

tff(func_def_5521,type,
    sK4468: 
      !>[X0: $tType,X1: $tType] : ( ( list(X0) * list(X1) * set(product_prod(X0,X1)) ) > list(X1) ) ).

tff(func_def_5522,type,
    sK4469: 
      !>[X0: $tType] : ( ( set(list(X0)) * list(X0) * list(X0) ) > X0 ) ).

tff(func_def_5523,type,
    sK4470: 
      !>[X0: $tType] : ( ( set(list(X0)) * list(X0) * list(X0) ) > list(X0) ) ).

tff(func_def_5524,type,
    sK4471: 
      !>[X0: $tType] : ( ( set(list(X0)) * list(X0) * list(X0) ) > X0 ) ).

tff(func_def_5525,type,
    sK4472: 
      !>[X0: $tType] : ( ( set(list(X0)) * list(X0) * list(X0) ) > list(X0) ) ).

tff(func_def_5526,type,
    sK4473: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * list(X1) * list(X0) * list(X0) ) > list(X1) ) ).

tff(func_def_5527,type,
    sK4474: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * list(X1) * list(X0) * list(X0) ) > list(X1) ) ).

tff(func_def_5528,type,
    sK4475: 
      !>[X0: $tType,X1: $tType] : ( ( list(X0) * list(X0) * fun(X1,X0) * list(X1) ) > list(X1) ) ).

tff(func_def_5529,type,
    sK4476: 
      !>[X0: $tType,X1: $tType] : ( ( list(X0) * list(X0) * fun(X1,X0) * list(X1) ) > list(X1) ) ).

tff(func_def_5530,type,
    sK4477: 
      !>[X0: $tType] : ( ( X0 * list(X0) ) > list(X0) ) ).

tff(func_def_5531,type,
    sK4478: 
      !>[X0: $tType] : ( ( X0 * list(X0) ) > list(X0) ) ).

tff(func_def_5532,type,
    sK4479: 
      !>[X0: $tType] : ( ( X0 * list(X0) ) > list(X0) ) ).

tff(func_def_5533,type,
    sK4480: 
      !>[X0: $tType] : ( ( X0 * list(X0) ) > list(X0) ) ).

tff(func_def_5534,type,
    sK4481: 
      !>[X0: $tType] : ( ( list(X0) * fun(X0,$o) ) > list(X0) ) ).

tff(func_def_5535,type,
    sK4482: 
      !>[X0: $tType] : ( ( list(X0) * fun(X0,$o) ) > X0 ) ).

tff(func_def_5536,type,
    sK4483: 
      !>[X0: $tType] : ( ( list(X0) * fun(X0,$o) ) > list(X0) ) ).

tff(func_def_5537,type,
    sK4484: 
      !>[X0: $tType] : ( ( X0 * list(X0) ) > list(X0) ) ).

tff(func_def_5538,type,
    sK4485: 
      !>[X0: $tType] : ( ( X0 * list(X0) ) > list(X0) ) ).

tff(func_def_5539,type,
    sK4486: 
      !>[X0: $tType] : ( ( list(X0) * fun(X0,$o) ) > list(X0) ) ).

tff(func_def_5540,type,
    sK4487: 
      !>[X0: $tType] : ( ( list(X0) * fun(X0,$o) ) > X0 ) ).

tff(func_def_5541,type,
    sK4488: 
      !>[X0: $tType] : ( ( list(X0) * fun(X0,$o) ) > list(X0) ) ).

tff(func_def_5542,type,
    sK4489: 
      !>[X0: $tType] : ( ( X0 * list(X0) ) > list(X0) ) ).

tff(func_def_5543,type,
    sK4490: 
      !>[X0: $tType] : ( ( X0 * list(X0) ) > list(X0) ) ).

tff(func_def_5544,type,
    sK4491: 
      !>[X0: $tType] : ( ( list(X0) * fun(X0,$o) ) > list(X0) ) ).

tff(func_def_5545,type,
    sK4492: 
      !>[X0: $tType] : ( ( list(X0) * fun(X0,$o) ) > X0 ) ).

tff(func_def_5546,type,
    sK4493: 
      !>[X0: $tType] : ( ( list(X0) * fun(X0,$o) ) > list(X0) ) ).

tff(func_def_5547,type,
    sK4494: 
      !>[X0: $tType] : ( ( list(X0) * fun(X0,$o) ) > list(X0) ) ).

tff(func_def_5548,type,
    sK4495: 
      !>[X0: $tType] : ( ( list(X0) * fun(X0,$o) ) > X0 ) ).

tff(func_def_5549,type,
    sK4496: 
      !>[X0: $tType] : ( ( list(X0) * fun(X0,$o) ) > list(X0) ) ).

tff(func_def_5550,type,
    sK4497: 
      !>[X0: $tType] : ( ( list(X0) * fun(X0,$o) ) > list(X0) ) ).

tff(func_def_5551,type,
    sK4498: 
      !>[X0: $tType] : ( ( list(X0) * fun(X0,$o) ) > X0 ) ).

tff(func_def_5552,type,
    sK4499: 
      !>[X0: $tType] : ( ( list(X0) * fun(X0,$o) ) > list(X0) ) ).

tff(func_def_5553,type,
    sK4500: 
      !>[X0: $tType] : ( ( list(X0) * fun(X0,$o) ) > list(X0) ) ).

tff(func_def_5554,type,
    sK4501: 
      !>[X0: $tType] : ( ( list(X0) * fun(X0,$o) ) > X0 ) ).

tff(func_def_5555,type,
    sK4502: 
      !>[X0: $tType] : ( ( list(X0) * fun(X0,$o) ) > list(X0) ) ).

tff(func_def_5556,type,
    sK4503: 
      !>[X0: $tType] : ( ( X0 * list(X0) ) > list(X0) ) ).

tff(func_def_5557,type,
    sK4504: 
      !>[X0: $tType] : ( ( X0 * list(X0) ) > list(X0) ) ).

tff(func_def_5558,type,
    sK4505: 
      !>[X0: $tType] : ( ( X0 * list(X0) ) > list(X0) ) ).

tff(func_def_5559,type,
    sK4506: 
      !>[X0: $tType] : ( ( X0 * list(X0) ) > list(X0) ) ).

tff(func_def_5560,type,
    sK4507: 
      !>[X0: $tType] : ( ( list(X0) * fun(X0,$o) ) > X0 ) ).

tff(func_def_5561,type,
    sK4508: 
      !>[X0: $tType] : ( ( fun(X0,$o) * list(X0) ) > X0 ) ).

tff(func_def_5562,type,
    sK4509: 
      !>[X0: $tType] : ( ( list(X0) * fun(X0,$o) ) > list(X0) ) ).

tff(func_def_5563,type,
    sK4510: 
      !>[X0: $tType] : ( ( list(X0) * fun(X0,$o) ) > X0 ) ).

tff(func_def_5564,type,
    sK4511: 
      !>[X0: $tType] : ( ( list(X0) * fun(X0,$o) ) > list(X0) ) ).

tff(func_def_5565,type,
    sK4512: 
      !>[X0: $tType] : ( ( list(X0) * fun(X0,$o) ) > X0 ) ).

tff(func_def_5566,type,
    sK4513: 
      !>[X0: $tType] : ( ( fun(X0,$o) * list(X0) ) > X0 ) ).

tff(func_def_5567,type,
    sK4514: 
      !>[X0: $tType] : ( ( list(X0) * fun(X0,$o) ) > list(X0) ) ).

tff(func_def_5568,type,
    sK4515: 
      !>[X0: $tType] : ( ( list(X0) * fun(X0,$o) ) > X0 ) ).

tff(func_def_5569,type,
    sK4516: 
      !>[X0: $tType] : ( ( list(X0) * fun(X0,$o) ) > list(X0) ) ).

tff(func_def_5570,type,
    sK4517: 
      !>[X0: $tType] : ( fun(list(X0),$o) > X0 ) ).

tff(func_def_5571,type,
    sK4518: 
      !>[X0: $tType] : ( fun(list(X0),$o) > list(X0) ) ).

tff(func_def_5572,type,
    sK4519: 
      !>[X0: $tType] : ( fun(list(X0),$o) > X0 ) ).

tff(func_def_5573,type,
    sK4520: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) * X0 * list(X0) ) > list(X0) ) ).

tff(func_def_5574,type,
    sK4521: 
      !>[X0: $tType] : ( ( X0 * list(X0) * list(X0) * list(X0) ) > list(X0) ) ).

tff(func_def_5575,type,
    sK4522: 
      !>[X0: $tType] : ( list(X0) > list(X0) ) ).

tff(func_def_5576,type,
    sK4523: 
      !>[X0: $tType] : ( list(X0) > X0 ) ).

tff(func_def_5577,type,
    sK4524: 
      !>[X0: $tType] : ( fun(list(X0),$o) > X0 ) ).

tff(func_def_5578,type,
    sK4525: 
      !>[X0: $tType] : ( fun(list(X0),$o) > list(X0) ) ).

tff(func_def_5579,type,
    sK4526: 
      !>[X0: $tType] : ( ( list(list(X0)) * list(X0) * list(X0) ) > list(list(X0)) ) ).

tff(func_def_5580,type,
    sK4527: 
      !>[X0: $tType] : ( ( list(list(X0)) * list(X0) * list(X0) ) > list(X0) ) ).

tff(func_def_5581,type,
    sK4528: 
      !>[X0: $tType] : ( ( list(list(X0)) * list(X0) * list(X0) ) > list(X0) ) ).

tff(func_def_5582,type,
    sK4529: 
      !>[X0: $tType] : ( ( list(list(X0)) * list(X0) * list(X0) ) > list(list(X0)) ) ).

tff(func_def_5583,type,
    sK4530: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) * list(X0) * list(X0) ) > list(X0) ) ).

tff(func_def_5584,type,
    sK4531: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) ) > nat ) ).

tff(func_def_5585,type,
    sK4532: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) ) > nat ) ).

tff(func_def_5586,type,
    sK4533: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) ) > list(X0) ) ).

tff(func_def_5587,type,
    sK4534: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) ) > list(X0) ) ).

tff(func_def_5588,type,
    sK4535: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) ) > X0 ) ).

tff(func_def_5589,type,
    sK4536: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) ) > list(X0) ) ).

tff(func_def_5590,type,
    sK4537: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) ) > X0 ) ).

tff(func_def_5591,type,
    sK4538: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) ) > list(X0) ) ).

tff(func_def_5592,type,
    sK4539: 
      !>[X0: $tType] : ( list(X0) > list(X0) ) ).

tff(func_def_5593,type,
    sK4540: 
      !>[X0: $tType] : ( list(X0) > list(X0) ) ).

tff(func_def_5594,type,
    sK4541: 
      !>[X0: $tType] : ( list(X0) > list(X0) ) ).

tff(func_def_5595,type,
    sK4542: 
      !>[X0: $tType] : ( list(X0) > X0 ) ).

tff(func_def_5596,type,
    sK4543: 
      !>[X0: $tType] : ( list(X0) > list(X0) ) ).

tff(func_def_5597,type,
    sK4544: 
      !>[X0: $tType] : ( list(X0) > X0 ) ).

tff(func_def_5598,type,
    sK4545: 
      !>[X0: $tType] : ( list(X0) > list(X0) ) ).

tff(func_def_5599,type,
    sK4546: 
      !>[X0: $tType] : ( ( X0 * list(X0) * list(X0) ) > list(X0) ) ).

tff(func_def_5600,type,
    sK4547: 
      !>[X0: $tType] : ( ( X0 * list(X0) * list(X0) ) > list(X0) ) ).

tff(func_def_5601,type,
    sK4548: 
      !>[X0: $tType] : ( set(product_prod(X0,X0)) > X0 ) ).

tff(func_def_5602,type,
    sK4549: 
      !>[X0: $tType] : ( set(product_prod(X0,X0)) > X0 ) ).

tff(func_def_5603,type,
    sK4550: 
      !>[X0: $tType] : ( set(product_prod(X0,X0)) > X0 ) ).

tff(func_def_5604,type,
    sK4551: 
      !>[X0: $tType] : ( ( list(X0) * nat ) > X0 ) ).

tff(func_def_5605,type,
    sK4552: 
      !>[X0: $tType] : ( ( list(X0) * nat ) > list(X0) ) ).

tff(func_def_5606,type,
    sK4553: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) * set(product_prod(X0,X0)) ) > X0 ) ).

tff(func_def_5607,type,
    sK4554: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) * set(product_prod(X0,X0)) ) > X0 ) ).

tff(func_def_5608,type,
    sK4555: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) * set(product_prod(X0,X0)) ) > list(X0) ) ).

tff(func_def_5609,type,
    sK4556: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) * set(product_prod(X0,X0)) ) > list(X0) ) ).

tff(func_def_5610,type,
    sK4557: 
      !>[X0: $tType] : ( ( list(X0) * set(product_prod(X0,X0)) ) > X0 ) ).

tff(func_def_5611,type,
    sK4558: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) ) > nat ) ).

tff(func_def_5612,type,
    sK4559: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) ) > list(X0) ) ).

tff(func_def_5613,type,
    sK4560: 
      !>[X0: $tType] : ( ( list(list(X0)) * list(list(X0)) ) > X0 ) ).

tff(func_def_5614,type,
    sK4561: 
      !>[X0: $tType] : ( ( list(list(X0)) * list(list(X0)) ) > list(X0) ) ).

tff(func_def_5615,type,
    sK4562: 
      !>[X0: $tType] : ( ( list(list(X0)) * list(list(X0)) ) > list(list(X0)) ) ).

tff(func_def_5616,type,
    sK4563: 
      !>[X0: $tType] : ( ( list(list(X0)) * list(list(X0)) ) > list(list(X0)) ) ).

tff(func_def_5617,type,
    sK4564: 
      !>[X0: $tType] : ( list(list(X0)) > list(X0) ) ).

tff(func_def_5618,type,
    sK4565: 
      !>[X0: $tType] : ( ( list(list(X0)) * list(list(X0)) ) > list(list(X0)) ) ).

tff(func_def_5619,type,
    sK4566: 
      !>[X0: $tType] : ( ( list(list(X0)) * list(list(X0)) ) > X0 ) ).

tff(func_def_5620,type,
    sK4567: 
      !>[X0: $tType] : ( ( list(list(X0)) * list(list(X0)) ) > list(X0) ) ).

tff(func_def_5621,type,
    sK4568: 
      !>[X0: $tType] : ( ( list(list(X0)) * list(list(X0)) ) > list(list(X0)) ) ).

tff(func_def_5622,type,
    sK4569: 
      !>[X0: $tType] : ( fun(list(list(X0)),$o) > list(list(X0)) ) ).

tff(func_def_5623,type,
    sK4570: 
      !>[X0: $tType] : ( fun(list(list(X0)),$o) > X0 ) ).

tff(func_def_5624,type,
    sK4571: 
      !>[X0: $tType] : ( fun(list(list(X0)),$o) > list(X0) ) ).

tff(func_def_5625,type,
    sK4572: 
      !>[X0: $tType] : ( fun(list(list(X0)),$o) > list(list(X0)) ) ).

tff(func_def_5626,type,
    sK4573: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) ) > X0 ) ).

tff(func_def_5627,type,
    sK4574: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) ) > X0 ) ).

tff(func_def_5628,type,
    sK4575: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) ) > X0 ) ).

tff(func_def_5629,type,
    sK4576: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) ) > list(X0) ) ).

tff(func_def_5630,type,
    sK4577: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) ) > list(X0) ) ).

tff(func_def_5631,type,
    sK4578: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) ) > list(X0) ) ).

tff(func_def_5632,type,
    sK4579: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) ) > list(X0) ) ).

tff(func_def_5633,type,
    sK4580: 
      !>[X0: $tType] : ( ( list(X0) * nat * fun(nat,X0) ) > nat ) ).

tff(func_def_5634,type,
    sK4581: 
      !>[X0: $tType] : ( ( list(list(X0)) * nat ) > nat ) ).

tff(func_def_5635,type,
    sK4582: 
      !>[X0: $tType] : ( ( fun(X0,$o) * list(X0) ) > X0 ) ).

tff(func_def_5636,type,
    sK4583: 
      !>[X0: $tType] : ( ( fun(X0,$o) * list(X0) ) > X0 ) ).

tff(func_def_5637,type,
    sK4584: 
      !>[X0: $tType] : ( ( list(X0) * fun(X0,$o) ) > X0 ) ).

tff(func_def_5638,type,
    sK4585: 
      !>[X0: $tType] : ( list(X0) > X0 ) ).

tff(func_def_5639,type,
    sK4586: 
      !>[X0: $tType] : ( ( list(X0) * fun(X0,$o) ) > X0 ) ).

tff(func_def_5640,type,
    sK4587: 
      !>[X0: $tType] : ( ( fun(X0,$o) * list(X0) ) > X0 ) ).

tff(func_def_5641,type,
    sK4588: 
      !>[X0: $tType] : ( ( fun(X0,$o) * list(X0) ) > X0 ) ).

tff(func_def_5642,type,
    sK4589: 
      !>[X0: $tType] : ( ( list(X0) * fun(X0,$o) * fun(X0,$o) ) > X0 ) ).

tff(func_def_5643,type,
    sK4590: 
      !>[X0: $tType] : ( ( fun(X0,$o) * list(X0) ) > X0 ) ).

tff(func_def_5644,type,
    sK4591: 
      !>[X0: $tType,X1: $tType] : ( ( list(X1) * fun(X1,$o) * fun(X1,X0) ) > X1 ) ).

tff(func_def_5645,type,
    sK4592: 
      !>[X0: $tType] : ( ( X0 * list(X0) * fun(X0,$o) * list(X0) ) > list(X0) ) ).

tff(func_def_5646,type,
    sK4593: 
      !>[X0: $tType] : ( ( X0 * list(X0) * fun(X0,$o) * list(X0) ) > list(X0) ) ).

tff(func_def_5647,type,
    sK4594: 
      !>[X0: $tType] : ( ( fun(X0,$o) * list(X0) * X0 * list(X0) ) > list(X0) ) ).

tff(func_def_5648,type,
    sK4595: 
      !>[X0: $tType] : ( ( fun(X0,$o) * list(X0) * X0 * list(X0) ) > list(X0) ) ).

tff(func_def_5649,type,
    sK4596: 
      !>[X0: $tType] : ( ( fun(X0,$o) * list(X0) ) > X0 ) ).

tff(func_def_5650,type,
    sK4597: 
      !>[X0: $tType] : ( ( X0 * list(X0) * fun(X0,$o) * list(X0) ) > list(X0) ) ).

tff(func_def_5651,type,
    sK4598: 
      !>[X0: $tType] : ( ( X0 * list(X0) * fun(X0,$o) * list(X0) ) > list(X0) ) ).

tff(func_def_5652,type,
    sK4599: 
      !>[X0: $tType] : ( ( fun(X0,$o) * list(X0) ) > X0 ) ).

tff(func_def_5653,type,
    sK4600: 
      !>[X0: $tType] : ( ( fun(X0,$o) * list(X0) * X0 * list(X0) ) > list(X0) ) ).

tff(func_def_5654,type,
    sK4601: 
      !>[X0: $tType] : ( ( fun(X0,$o) * list(X0) * X0 * list(X0) ) > list(X0) ) ).

tff(func_def_5655,type,
    sK4602: 
      !>[X0: $tType] : ( list(X0) > X0 ) ).

tff(func_def_5656,type,
    sK4603: 
      !>[X0: $tType] : ( list(X0) > X0 ) ).

tff(func_def_5657,type,
    sK4604: 
      !>[X0: $tType] : ( list(X0) > X0 ) ).

tff(func_def_5658,type,
    sK4605: 
      !>[X0: $tType] : ( list(X0) > X0 ) ).

tff(func_def_5659,type,
    sK4606: 
      !>[X0: $tType,X1: $tType] : ( ( list(X1) * fun(X1,X0) * fun(X1,X0) ) > X1 ) ).

tff(func_def_5660,type,
    sK4607: 
      !>[X0: $tType,X1: $tType] : ( ( list(X1) * fun(X1,X0) * fun(X1,X0) ) > X1 ) ).

tff(func_def_5661,type,
    sK4608: 
      !>[X0: $tType] : ( list(X0) > X0 ) ).

tff(func_def_5662,type,
    sK4609: 
      !>[X0: $tType] : ( list(X0) > X0 ) ).

tff(func_def_5663,type,
    sK4610: 
      !>[X0: $tType,X1: $tType] : ( ( list(X0) * fun(X0,fun(X1,X1)) * fun(X0,fun(X1,X1)) ) > X1 ) ).

tff(func_def_5664,type,
    sK4611: 
      !>[X0: $tType,X1: $tType] : ( ( list(X0) * fun(X0,fun(X1,X1)) * fun(X0,fun(X1,X1)) ) > X0 ) ).

tff(func_def_5665,type,
    sK4612: 
      !>[X0: $tType] : ( fun(nat,X0) > nat ) ).

tff(func_def_5666,type,
    sK4613: 
      !>[X0: $tType] : ( fun(nat,X0) > nat ) ).

tff(func_def_5667,type,
    sK4614: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) ) > X0 ) ).

tff(func_def_5668,type,
    sK4615: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) ) > X0 ) ).

tff(func_def_5669,type,
    sK4616: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,$o)) * list(X0) * list(X0) ) > X0 ) ).

tff(func_def_5670,type,
    sK4617: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,$o)) * list(X0) * list(X0) ) > X0 ) ).

tff(func_def_5671,type,
    sK4618: 
      !>[X0: $tType] : ( ( list(X0) * fun(X0,fun(X0,$o)) * fun(X0,fun(X0,$o)) ) > X0 ) ).

tff(func_def_5672,type,
    sK4619: 
      !>[X0: $tType] : ( ( list(X0) * fun(X0,fun(X0,$o)) * fun(X0,fun(X0,$o)) ) > X0 ) ).

tff(func_def_5673,type,
    sK4620: 
      !>[X0: $tType] : ( ( X0 * list(X0) ) > X0 ) ).

tff(func_def_5674,type,
    sK4621: 
      !>[X0: $tType] : ( ( X0 * list(X0) ) > X0 ) ).

tff(func_def_5675,type,
    sK4622: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,$o)) * X0 * list(X0) ) > X0 ) ).

tff(func_def_5676,type,
    sK4623: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,$o)) * list(X0) ) > X0 ) ).

tff(func_def_5677,type,
    sK4624: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,$o)) * list(X0) ) > list(X0) ) ).

tff(func_def_5678,type,
    sK4625: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,$o)) * list(X0) ) > X0 ) ).

tff(func_def_5679,type,
    sK4626: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,$o)) * list(X0) ) > nat ) ).

tff(func_def_5680,type,
    sK4627: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,$o)) * list(X0) ) > nat ) ).

tff(func_def_5681,type,
    sK4628: 
      !>[X0: $tType] : ( list(X0) > nat ) ).

tff(func_def_5682,type,
    sK4629: 
      !>[X0: $tType] : ( list(X0) > nat ) ).

tff(func_def_5683,type,
    sK4630: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,$o)) * list(X0) ) > X0 ) ).

tff(func_def_5684,type,
    sK4631: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,$o)) * list(X0) ) > list(X0) ) ).

tff(func_def_5685,type,
    sK4632: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,$o)) * $o * list(X0) ) > X0 ) ).

tff(func_def_5686,type,
    sK4633: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,$o)) * $o * list(X0) ) > list(X0) ) ).

tff(func_def_5687,type,
    sK4634: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,$o)) * $o * list(X0) ) > X0 ) ).

tff(func_def_5688,type,
    sK4635: 
      !>[X0: $tType] : ( set(X0) > list(X0) ) ).

tff(func_def_5689,type,
    sK4636: 
      !>[X0: $tType] : ( list(X0) > nat ) ).

tff(func_def_5690,type,
    sK4637: 
      !>[X0: $tType] : ( list(X0) > nat ) ).

tff(func_def_5691,type,
    sK4638: 
      !>[X0: $tType] : ( list(X0) > nat ) ).

tff(func_def_5692,type,
    sK4639: 
      !>[X0: $tType] : ( set(X0) > list(X0) ) ).

tff(func_def_5693,type,
    sK4640: 
      !>[X0: $tType] : ( ( list(X0) * X0 ) > X0 ) ).

tff(func_def_5694,type,
    sK4641: 
      !>[X0: $tType] : ( list(X0) > nat ) ).

tff(func_def_5695,type,
    sK4642: 
      !>[X0: $tType] : ( list(X0) > nat ) ).

tff(func_def_5696,type,
    sK4643: 
      !>[X0: $tType] : ( list(X0) > nat ) ).

tff(func_def_5697,type,
    sK4644: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,fun(X0,$o)) * fun(X1,X0) * set(X1) ) > list(X1) ) ).

tff(func_def_5698,type,
    sK4645: 
      !>[X0: $tType] : ( ( fun(X0,$o) * list(X0) ) > X0 ) ).

tff(func_def_5699,type,
    sK4646: 
      !>[X0: $tType] : ( ( list(X0) * fun(X0,$o) ) > X0 ) ).

tff(func_def_5700,type,
    sK4647: 
      !>[X0: $tType] : ( ( list(X0) * fun(X0,$o) * fun(X0,$o) ) > X0 ) ).

tff(func_def_5701,type,
    sK4648: 
      !>[X0: $tType] : ( ( nat * fun(X0,$o) * list(X0) ) > nat ) ).

tff(func_def_5702,type,
    sK4649: 
      !>[X0: $tType] : ( ( nat * list(X0) * fun(X0,$o) ) > nat ) ).

tff(func_def_5703,type,
    sK4650: 
      !>[X0: $tType] : ( ( fun(X0,$o) * list(X0) ) > X0 ) ).

tff(func_def_5704,type,
    sK4651: 
      !>[X0: $tType] : ( ( list(X0) * fun(X0,$o) ) > X0 ) ).

tff(func_def_5705,type,
    sK4652: 
      !>[X0: $tType] : ( ( list(X0) * fun(X0,$o) * fun(X0,$o) ) > X0 ) ).

tff(func_def_5706,type,
    sK4653: 
      !>[X0: $tType] : ( set(product_prod(X0,X0)) > X0 ) ).

tff(func_def_5707,type,
    sK4654: 
      !>[X0: $tType] : ( set(product_prod(X0,X0)) > X0 ) ).

tff(func_def_5708,type,
    sK4655: 
      !>[X0: $tType] : ( ( fun(X0,$o) * list(X0) ) > X0 ) ).

tff(func_def_5709,type,
    sK4656: 
      !>[X0: $tType] : ( ( list(X0) * X0 ) > X0 ) ).

tff(func_def_5710,type,
    sK4657: 
      !>[X0: $tType] : ( ( list(X0) * X0 ) > list(X0) ) ).

tff(func_def_5711,type,
    sK4658: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * list(X1) * X1 ) > X1 ) ).

tff(func_def_5712,type,
    sK4659: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * list(X1) * X1 ) > X1 ) ).

tff(func_def_5713,type,
    sK4660: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * list(X1) * X1 ) > list(X1) ) ).

tff(func_def_5714,type,
    sK4661: 
      !>[X0: $tType] : ( ( list(X0) * X0 ) > X0 ) ).

tff(func_def_5715,type,
    sK4662: 
      !>[X0: $tType] : ( ( X0 * list(X0) ) > X0 ) ).

tff(func_def_5716,type,
    sK4663: 
      !>[X0: $tType] : ( ( X0 * list(X0) ) > list(X0) ) ).

tff(func_def_5717,type,
    sK4664: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,set(X0)) ) > X1 ) ).

tff(func_def_5718,type,
    sK4665: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,set(X0)) ) > X1 ) ).

tff(func_def_5719,type,
    sK4666: 
      !>[X0: $tType,X1: $tType] : ( ( product_prod(X0,X1) * set(X0) * fun(X0,set(X1)) ) > X0 ) ).

tff(func_def_5720,type,
    sK4667: 
      !>[X0: $tType,X1: $tType] : ( ( product_prod(X0,X1) * set(X0) * fun(X0,set(X1)) ) > X1 ) ).

tff(func_def_5721,type,
    sK4668: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,set(X0)) * fun(X1,set(X0)) ) > X1 ) ).

tff(func_def_5722,type,
    sK4669: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,set(X1)) ) > X0 ) ).

tff(func_def_5723,type,
    sK4670: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,set(X0)) ) > X1 ) ).

tff(func_def_5724,type,
    sK4671: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * set(X0) ) > X0 ) ).

tff(func_def_5725,type,
    sK4672: 
      !>[X0: $tType] : ( ( set(X0) * set(product_prod(X0,X0)) ) > X0 ) ).

tff(func_def_5726,type,
    sK4673: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,set(X0)) ) > X1 ) ).

tff(func_def_5727,type,
    sK4674: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,set(X0)) ) > X1 ) ).

tff(func_def_5728,type,
    sK4675: 
      !>[X0: $tType,X1: $tType] : ( ( set(product_prod(X1,X1)) * fun(X1,X0) ) > X1 ) ).

tff(func_def_5729,type,
    sK4676: 
      !>[X0: $tType,X1: $tType] : ( ( set(product_prod(X1,X1)) * fun(X1,X0) ) > X1 ) ).

tff(func_def_5730,type,
    sK4677: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,X1) * set(X1) ) > X0 ) ).

tff(func_def_5731,type,
    sK4678: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,$o) * fun(X1,X0) * fun(X1,$o) ) > X1 ) ).

tff(func_def_5732,type,
    sK4679: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,X0) * fun(X1,X0) ) > X1 ) ).

tff(func_def_5733,type,
    sK4680: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * set(X0) ) > X1 ) ).

tff(func_def_5734,type,
    sK4681: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * set(X0) ) > X1 ) ).

tff(func_def_5735,type,
    sK4682: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X1,X0) * set(X1) ) > X0 ) ).

tff(func_def_5736,type,
    sK4683: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * set(X1) ) > X0 ) ).

tff(func_def_5737,type,
    sK4684: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * set(X1) ) > X0 ) ).

tff(func_def_5738,type,
    sK4685: 
      !>[X0: $tType] : ( ( fun(X0,$o) * list(X0) ) > X0 ) ).

tff(func_def_5739,type,
    sK4686: 
      !>[X0: $tType] : ( ( list(X0) * fun(X0,$o) ) > X0 ) ).

tff(func_def_5740,type,
    sK4687: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * fun(X0,X1) * set(X1) ) > X1 ) ).

tff(func_def_5741,type,
    sK4688: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X1,X0) * fun(X0,X1) ) > X0 ) ).

tff(func_def_5742,type,
    sK4689: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * set(X1) ) > fun(X0,X1) ) ).

tff(func_def_5743,type,
    sK4690: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * set(X1) ) > fun(X0,X1) ) ).

tff(func_def_5744,type,
    sK4691: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( set(X2) * fun(X2,set(X0)) * fun(X0,X1) * fun(X2,set(X1)) ) > X2 ) ).

tff(func_def_5745,type,
    sK4692: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,set(X0)) ) > X1 ) ).

tff(func_def_5746,type,
    sK4693: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,set(X0)) ) > X1 ) ).

tff(func_def_5747,type,
    sK4694: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > fun(X0,X0) ) ).

tff(func_def_5748,type,
    sK4695: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > fun(X0,X0) ) ).

tff(func_def_5749,type,
    sK4696: 
      !>[X0: $tType] : ( set(X0) > fun(nat,X0) ) ).

tff(func_def_5750,type,
    sK4697: 
      !>[X0: $tType] : ( set(X0) > fun(nat,X0) ) ).

tff(func_def_5751,type,
    sK4698: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_5752,type,
    sK4699: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( set(X0) * fun(X0,X2) * fun(X2,X1) ) > X0 ) ).

tff(func_def_5753,type,
    sK4700: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_5754,type,
    sK4701: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( set(X0) * fun(X0,X2) * fun(X2,X1) ) > X0 ) ).

tff(func_def_5755,type,
    sK4702: 
      !>[X0: $tType] : ( set(X0) > fun(nat,X0) ) ).

tff(func_def_5756,type,
    sK4703: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * set(X1) ) > fun(X0,X1) ) ).

tff(func_def_5757,type,
    sK4704: 
      !>[X0: $tType] : ( set(X0) > fun(X0,nat) ) ).

tff(func_def_5758,type,
    sK4705: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X0,fun(X1,$o)) ) > X1 ) ).

tff(func_def_5759,type,
    sK4706: 
      !>[X0: $tType] : ( fun(X0,$o) > X0 ) ).

tff(func_def_5760,type,
    sK4707: 
      !>[X0: $tType] : ( fun(X0,$o) > X0 ) ).

tff(func_def_5761,type,
    sK4708: 
      !>[X0: $tType] : ( ( set(X0) * fun(X0,$o) ) > X0 ) ).

tff(func_def_5762,type,
    sK4709: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,$o)) * set(X0) * X0 ) > X0 ) ).

tff(func_def_5763,type,
    sK4710: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,$o)) * set(X0) * set(X0) ) > X0 ) ).

tff(func_def_5764,type,
    sK4711: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,$o)) * set(X0) * X0 ) > X0 ) ).

tff(func_def_5765,type,
    sK4712: 
      !>[X0: $tType] : ( ( set(X0) * set(X0) * fun(X0,fun(X0,$o)) ) > X0 ) ).

tff(func_def_5766,type,
    sK4713: 
      !>[X0: $tType] : ( ( list(X0) * set(X0) ) > X0 ) ).

tff(func_def_5767,type,
    sK4714: 
      !>[X0: $tType] : ( ( list(X0) * set(X0) ) > X0 ) ).

tff(func_def_5768,type,
    sK4715: 
      !>[X0: $tType] : ( ( list(X0) * set(X0) ) > X0 ) ).

tff(func_def_5769,type,
    sK4716: 
      !>[X0: $tType] : ( ( list(X0) * set(X0) ) > list(X0) ) ).

tff(func_def_5770,type,
    sK4717: 
      !>[X0: $tType] : ( ( list(X0) * set(X0) ) > X0 ) ).

tff(func_def_5771,type,
    sK4718: 
      !>[X0: $tType] : ( ( list(X0) * set(X0) ) > list(X0) ) ).

tff(func_def_5772,type,
    sK4719: 
      !>[X0: $tType] : ( ( X0 * X0 ) > X0 ) ).

tff(func_def_5773,type,
    sK4720: 
      !>[X0: $tType] : ( ( X0 * X0 ) > X0 ) ).

tff(func_def_5774,type,
    sK4721: 
      !>[X0: $tType] : ( ( list(X0) * X0 ) > X0 ) ).

tff(func_def_5775,type,
    sK4722: 
      !>[X0: $tType] : ( ( list(X0) * X0 ) > X0 ) ).

tff(func_def_5776,type,
    sK4723: fun(rat,$o) > int ).

tff(func_def_5777,type,
    sK4724: fun(rat,$o) > int ).

tff(func_def_5778,type,
    sK4725: rat > int ).

tff(func_def_5779,type,
    sK4726: rat > int ).

tff(func_def_5780,type,
    sK4727: rat > int ).

tff(func_def_5781,type,
    sK4728: rat > int ).

tff(func_def_5782,type,
    sK4729: 
      !>[X0: $tType] : ( X0 > int ) ).

tff(func_def_5783,type,
    sK4730: 
      !>[X0: $tType] : ( X0 > int ) ).

tff(func_def_5784,type,
    sK4731: rat > product_prod(int,int) ).

tff(func_def_5785,type,
    sK4732: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( list(X0) * fun(X2,X1) * fun(X0,fun(X2,X2)) * fun(X0,fun(X1,X1)) ) > X0 ) ).

tff(func_def_5786,type,
    sK4733: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( list(X0) * fun(X2,X1) * fun(X0,fun(X2,X2)) * fun(X0,fun(X1,X1)) ) > X0 ) ).

tff(func_def_5787,type,
    sK4734: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,$o) * fun(X1,$o) * fun(X0,fun(X1,X1)) ) > X0 ) ).

tff(func_def_5788,type,
    sK4735: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,$o) * fun(X1,$o) * fun(X0,fun(X1,X1)) ) > X1 ) ).

tff(func_def_5789,type,
    sK4736: 
      !>[X0: $tType] : ( ( list(X0) * fun(X0,$o) ) > X0 ) ).

tff(func_def_5790,type,
    sK4737: 
      !>[X0: $tType,X1: $tType] : ( ( list(X0) * fun(X0,fun(X1,X1)) * fun(X0,fun(X1,X1)) ) > X0 ) ).

tff(func_def_5791,type,
    sK4738: 
      !>[X0: $tType,X1: $tType] : ( ( list(X1) * fun(X1,fun(X0,X0)) ) > X1 ) ).

tff(func_def_5792,type,
    sK4739: 
      !>[X0: $tType,X1: $tType] : ( ( list(X1) * fun(X1,fun(X0,X0)) ) > X1 ) ).

tff(func_def_5793,type,
    sK4740: 
      !>[X0: $tType,X1: $tType] : ( ( list(X1) * fun(X1,fun(X0,X0)) ) > X1 ) ).

tff(func_def_5794,type,
    sK4741: 
      !>[X0: $tType,X1: $tType] : ( ( list(X1) * fun(X1,fun(X0,X0)) ) > X1 ) ).

tff(func_def_5795,type,
    sK4742: 
      !>[X0: $tType,X1: $tType] : ( ( list(X1) * fun(X1,fun(X0,X0)) ) > X1 ) ).

tff(func_def_5796,type,
    sK4743: 
      !>[X0: $tType,X1: $tType] : ( ( list(X1) * fun(X1,fun(X0,X0)) ) > X1 ) ).

tff(func_def_5797,type,
    sK4744: real > nat ).

tff(func_def_5798,type,
    sK4745: real > nat ).

tff(func_def_5799,type,
    sK4746: 
      !>[X0: $tType] : ( ( set(X0) * list(X0) ) > X0 ) ).

tff(func_def_5800,type,
    sK4747: 
      !>[X0: $tType] : ( set(X0) > fun(nat,set(X0)) ) ).

tff(func_def_5801,type,
    sK4748: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * set(X1) ) > set(X1) ) ).

tff(func_def_5802,type,
    sK4749: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * set(X1) * fun(set(X0),$o) ) > set(X0) ) ).

tff(func_def_5803,type,
    sK4750: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * set(X1) * fun(set(X0),$o) ) > set(X1) ) ).

tff(func_def_5804,type,
    sK4751: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * set(X1) * fun(set(X0),$o) ) > set(X1) ) ).

tff(func_def_5805,type,
    sK4752: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * set(X1) * fun(set(X0),$o) ) > set(X0) ) ).

tff(func_def_5806,type,
    sK4753: 
      !>[X0: $tType] : ( ( set(X0) * nat ) > X0 ) ).

tff(func_def_5807,type,
    sK4754: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_5808,type,
    sK4755: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_5809,type,
    sK4756: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_5810,type,
    sK4757: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_5811,type,
    sK4758: 
      !>[X0: $tType] : ( ( set(X0) * set(X0) ) > X0 ) ).

tff(func_def_5812,type,
    sK4759: 
      !>[X0: $tType] : ( set(X0) > set(X0) ) ).

tff(func_def_5813,type,
    sK4760: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_5814,type,
    sK4761: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_5815,type,
    sK4762: 
      !>[X0: $tType] : ( ( set(X0) * set(X0) ) > X0 ) ).

tff(func_def_5816,type,
    sK4763: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * set(X1) * fun(set(X0),$o) ) > set(X1) ) ).

tff(func_def_5817,type,
    sK4764: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * set(X1) * fun(set(X0),$o) ) > set(X0) ) ).

tff(func_def_5818,type,
    sK4765: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * set(X1) * fun(set(X0),$o) ) > set(X0) ) ).

tff(func_def_5819,type,
    sK4766: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * set(X1) * fun(set(X0),$o) ) > set(X1) ) ).

tff(func_def_5820,type,
    sK4767: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X1,X0) * set(X1) ) > set(X1) ) ).

tff(func_def_5821,type,
    sK4768: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * set(X1) ) > set(X1) ) ).

tff(func_def_5822,type,
    sK4769: 
      !>[X0: $tType] : ( set(X0) > fun(nat,X0) ) ).

tff(func_def_5823,type,
    sK4770: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( set(X0) * set(X2) * fun(X0,X1) * fun(X2,X1) ) > X0 ) ).

tff(func_def_5824,type,
    sK4771: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,X1) * X1 ) > X0 ) ).

tff(func_def_5825,type,
    sK4772: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,X1) * X1 ) > X0 ) ).

tff(func_def_5826,type,
    sK4773: 
      !>[X0: $tType] : ( set(X0) > fun(nat,X0) ) ).

tff(func_def_5827,type,
    sK4774: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * X0 * fun(X1,X0) ) > X1 ) ).

tff(func_def_5828,type,
    sK4775: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( set(X0) * set(X2) * fun(X0,X1) * fun(X2,X1) ) > X2 ) ).

tff(func_def_5829,type,
    sK4776: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * X0 * fun(X1,X0) ) > X1 ) ).

tff(func_def_5830,type,
    sK4777: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * X0 * fun(X1,X0) ) > X1 ) ).

tff(func_def_5831,type,
    sK4778: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,X1) * X1 ) > X0 ) ).

tff(func_def_5832,type,
    sK4779: 
      !>[X0: $tType] : ( set(X0) > fun(X0,nat) ) ).

tff(func_def_5833,type,
    sK4780: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,X0) * fun(X1,X0) ) > X1 ) ).

tff(func_def_5834,type,
    sK4781: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,X0) * fun(X1,X0) ) > X1 ) ).

tff(func_def_5835,type,
    sK4782: 
      !>[X0: $tType] : ( set(X0) > fun(nat,X0) ) ).

tff(func_def_5836,type,
    sK4783: 
      !>[X0: $tType] : ( set(X0) > fun(X0,nat) ) ).

tff(func_def_5837,type,
    sK4784: 
      !>[X0: $tType] : ( set(X0) > fun(X0,nat) ) ).

tff(func_def_5838,type,
    sK4785: ( fun(nat,rat) * rat ) > nat ).

tff(func_def_5839,type,
    sK4786: fun(nat,rat) > rat ).

tff(func_def_5840,type,
    sK4787: ( fun(nat,rat) * nat ) > nat ).

tff(func_def_5841,type,
    sK4788: ( fun(nat,rat) * rat ) > nat ).

tff(func_def_5842,type,
    sK4789: fun(nat,rat) > rat ).

tff(func_def_5843,type,
    sK4790: ( fun(nat,rat) * nat ) > nat ).

tff(func_def_5844,type,
    sK4791: ( fun(nat,rat) * rat ) > nat ).

tff(func_def_5845,type,
    sK4792: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,fun(X0,X0)) ) > X1 ) ).

tff(func_def_5846,type,
    sK4793: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,fun(X0,X0)) ) > X1 ) ).

tff(func_def_5847,type,
    sK4794: ( option(num) * num * num ) > num ).

tff(func_def_5848,type,
    sK4795: ( option(num) * num * num ) > num ).

tff(func_def_5849,type,
    sK4796: ( option(num) * num * num ) > num ).

tff(func_def_5850,type,
    sK4797: ( option(num) * num * num ) > num ).

tff(func_def_5851,type,
    sK4798: ( option(num) * num * num ) > num ).

tff(func_def_5852,type,
    sK4799: ( option(num) * num * num ) > num ).

tff(func_def_5853,type,
    sK4800: ( option(num) * num * num ) > num ).

tff(func_def_5854,type,
    sK4801: ( option(num) * num * num ) > num ).

tff(func_def_5855,type,
    sK4802: ( option(num) * num ) > num ).

tff(func_def_5856,type,
    sK4803: ( option(num) * num ) > num ).

tff(func_def_5857,type,
    sK4804: ( num * num * option(num) ) > num ).

tff(func_def_5858,type,
    sK4805: ( num * num * option(num) ) > num ).

tff(func_def_5859,type,
    sK4806: 
      !>[X0: $tType] : ( ( set(list(X0)) * list(X0) * list(X0) ) > X0 ) ).

tff(func_def_5860,type,
    sK4807: 
      !>[X0: $tType] : ( ( set(list(X0)) * list(X0) * list(X0) ) > list(X0) ) ).

tff(func_def_5861,type,
    sK4808: 
      !>[X0: $tType] : ( ( set(list(X0)) * list(X0) * list(X0) ) > X0 ) ).

tff(func_def_5862,type,
    sK4809: 
      !>[X0: $tType] : ( ( set(list(X0)) * list(X0) * list(X0) ) > list(X0) ) ).

tff(func_def_5863,type,
    sK4810: 
      !>[X0: $tType] : ( fun(list(X0),fun(list(X0),$o)) > X0 ) ).

tff(func_def_5864,type,
    sK4811: 
      !>[X0: $tType] : ( fun(list(X0),fun(list(X0),$o)) > list(X0) ) ).

tff(func_def_5865,type,
    sK4812: 
      !>[X0: $tType] : ( fun(list(X0),fun(list(X0),$o)) > X0 ) ).

tff(func_def_5866,type,
    sK4813: 
      !>[X0: $tType] : ( fun(list(X0),fun(list(X0),$o)) > list(X0) ) ).

tff(func_def_5867,type,
    sK4814: 
      !>[X0: $tType] : ( fun(list(X0),fun(list(X0),$o)) > list(X0) ) ).

tff(func_def_5868,type,
    sK4815: 
      !>[X0: $tType] : ( fun(list(X0),fun(list(X0),$o)) > list(X0) ) ).

tff(func_def_5869,type,
    sK4816: ( option(num) * num * num ) > num ).

tff(func_def_5870,type,
    sK4817: ( option(num) * num * num ) > num ).

tff(func_def_5871,type,
    sK4818: ( option(num) * num * num ) > num ).

tff(func_def_5872,type,
    sK4819: ( option(num) * num * num ) > num ).

tff(func_def_5873,type,
    sK4820: ( option(num) * num * num ) > num ).

tff(func_def_5874,type,
    sK4821: ( option(num) * num * num ) > num ).

tff(func_def_5875,type,
    sK4822: ( option(num) * num * num ) > num ).

tff(func_def_5876,type,
    sK4823: ( option(num) * num * num ) > num ).

tff(func_def_5877,type,
    sK4824: ( option(num) * num ) > num ).

tff(func_def_5878,type,
    sK4825: ( option(num) * num ) > num ).

tff(func_def_5879,type,
    sK4826: ( num * num * option(num) ) > num ).

tff(func_def_5880,type,
    sK4827: ( num * num * option(num) ) > num ).

tff(func_def_5881,type,
    sK4828: ( option(num) * num * num ) > num ).

tff(func_def_5882,type,
    sK4829: ( option(num) * num * num ) > num ).

tff(func_def_5883,type,
    sK4830: ( option(num) * num * num ) > num ).

tff(func_def_5884,type,
    sK4831: ( option(num) * num * num ) > num ).

tff(func_def_5885,type,
    sK4832: ( option(num) * num * num ) > num ).

tff(func_def_5886,type,
    sK4833: ( option(num) * num * num ) > num ).

tff(func_def_5887,type,
    sK4834: ( option(num) * num * num ) > num ).

tff(func_def_5888,type,
    sK4835: ( option(num) * num * num ) > num ).

tff(func_def_5889,type,
    sK4836: ( option(num) * num ) > num ).

tff(func_def_5890,type,
    sK4837: ( option(num) * num ) > num ).

tff(func_def_5891,type,
    sK4838: ( num * num * option(num) ) > num ).

tff(func_def_5892,type,
    sK4839: ( num * num * option(num) ) > num ).

tff(func_def_5893,type,
    sK4840: 
      !>[X0: $tType] : ( fun(list(X0),fun(list(X0),$o)) > X0 ) ).

tff(func_def_5894,type,
    sK4841: 
      !>[X0: $tType] : ( fun(list(X0),fun(list(X0),$o)) > list(X0) ) ).

tff(func_def_5895,type,
    sK4842: 
      !>[X0: $tType] : ( fun(list(X0),fun(list(X0),$o)) > list(X0) ) ).

tff(func_def_5896,type,
    sK4843: 
      !>[X0: $tType] : ( fun(list(X0),fun(list(X0),$o)) > list(X0) ) ).

tff(func_def_5897,type,
    sK4844: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * fun(X0,$o) ) > X0 ) ).

tff(func_def_5898,type,
    sK4845: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) * list(X0) ) > X0 ) ).

tff(func_def_5899,type,
    sK4846: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) * list(X0) ) > list(X0) ) ).

tff(func_def_5900,type,
    sK4847: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) * list(X0) ) > X0 ) ).

tff(func_def_5901,type,
    sK4848: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) * list(X0) ) > list(X0) ) ).

tff(func_def_5902,type,
    sK4849: 
      !>[X0: $tType] : ( set(product_prod(X0,X0)) > X0 ) ).

tff(func_def_5903,type,
    sK4850: 
      !>[X0: $tType] : ( product_prod(X0,X0) > X0 ) ).

tff(func_def_5904,type,
    sK4851: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,fun(X1,X1)) * set(X0) * X1 * X1 * X0 ) > X1 ) ).

tff(func_def_5905,type,
    sK4852: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,fun(X1,X1)) * X1 ) > X1 ) ).

tff(func_def_5906,type,
    sK4853: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,fun(X0,X0)) * fun(X1,fun(X0,X0)) * set(X0) * set(X1) ) > X1 ) ).

tff(func_def_5907,type,
    sK4854: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,fun(X0,X0)) * fun(X1,fun(X0,X0)) * set(X0) * set(X1) ) > X0 ) ).

tff(func_def_5908,type,
    sK4855: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,fun(X1,X1)) * set(X0) * set(X1) ) > X0 ) ).

tff(func_def_5909,type,
    sK4856: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,fun(X1,X1)) * set(X0) * set(X1) ) > X1 ) ).

tff(func_def_5910,type,
    sK4857: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,fun(X0,X0)) * fun(X1,fun(X0,X0)) * set(X0) * set(X1) ) > X1 ) ).

tff(func_def_5911,type,
    sK4858: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,fun(X0,X0)) * fun(X1,fun(X0,X0)) * set(X0) * set(X1) ) > X0 ) ).

tff(func_def_5912,type,
    sK4859: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * set(X0) * fun(X1,fun(X0,X0)) ) > X1 ) ).

tff(func_def_5913,type,
    sK4860: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * set(X0) * fun(X1,fun(X0,X0)) ) > X0 ) ).

tff(func_def_5914,type,
    sK4861: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,fun(X1,X1)) * X1 * set(X0) * X1 ) > X0 ) ).

tff(func_def_5915,type,
    sK4862: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,fun(X1,X1)) * X1 * set(X0) * X1 ) > set(X0) ) ).

tff(func_def_5916,type,
    sK4863: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,fun(X1,X1)) * X1 * set(X0) * X1 ) > X1 ) ).

tff(func_def_5917,type,
    sK4864: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * X1 * X1 * fun(X0,fun(X1,X1)) ) > X0 ) ).

tff(func_def_5918,type,
    sK4865: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * X1 * X1 * fun(X0,fun(X1,X1)) ) > set(X0) ) ).

tff(func_def_5919,type,
    sK4866: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * X1 * X1 * fun(X0,fun(X1,X1)) ) > X1 ) ).

tff(func_def_5920,type,
    sK4867: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,fun(X1,X1)) * X0 * set(X0) * X1 * X1 ) > X1 ) ).

tff(func_def_5921,type,
    sK4868: 
      !>[X0: $tType] : ( set(product_prod(X0,X0)) > set(X0) ) ).

tff(func_def_5922,type,
    sK4869: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * X0 ) > X0 ) ).

tff(func_def_5923,type,
    sK4870: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * set(X0) ) > X0 ) ).

tff(func_def_5924,type,
    sK4871: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,fun(X1,$o)) * list(X0) * list(X1) ) > list(product_prod(X0,X1)) ) ).

tff(func_def_5925,type,
    sK4872: 
      !>[X0: $tType,X1: $tType] : ( ( set(product_prod(X1,X1)) * fun(X0,$o) * fun(X0,X1) ) > X0 ) ).

tff(func_def_5926,type,
    sK4873: 
      !>[X0: $tType] : ( set(product_prod(X0,X0)) > X0 ) ).

tff(func_def_5927,type,
    sK4874: 
      !>[X0: $tType] : ( set(product_prod(X0,X0)) > X0 ) ).

tff(func_def_5928,type,
    sK4875: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * fun(X0,nat) * fun(X0,nat) ) > X0 ) ).

tff(func_def_5929,type,
    sK4876: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * fun(X0,nat) * fun(X0,nat) ) > X0 ) ).

tff(func_def_5930,type,
    sK4877: 
      !>[X0: $tType] : ( ( fun(X0,$o) * fun(X0,nat) * fun(X0,X0) ) > X0 ) ).

tff(func_def_5931,type,
    sK4878: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,fun(X1,$o)) * X0 * list(X0) * list(X1) ) > X1 ) ).

tff(func_def_5932,type,
    sK4879: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,fun(X1,$o)) * X0 * list(X0) * list(X1) ) > list(X1) ) ).

tff(func_def_5933,type,
    sK4880: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,fun(X1,$o)) * list(X0) * X1 * list(X1) ) > X0 ) ).

tff(func_def_5934,type,
    sK4881: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,fun(X1,$o)) * list(X0) * X1 * list(X1) ) > list(X0) ) ).

tff(func_def_5935,type,
    sK4882: 
      !>[X0: $tType] : ( fun(X0,fun(X0,$o)) > X0 ) ).

tff(func_def_5936,type,
    sK4883: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,fun(X1,$o)) * fun(X0,fun(X1,$o)) ) > X0 ) ).

tff(func_def_5937,type,
    sK4884: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,fun(X1,$o)) * fun(X0,fun(X1,$o)) ) > X1 ) ).

tff(func_def_5938,type,
    sK4885: 
      !>[X0: $tType] : ( fun(X0,fun(X0,$o)) > X0 ) ).

tff(func_def_5939,type,
    sK4886: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( fun(X1,fun(X0,$o)) * fun(X0,fun(X2,$o)) * fun(X1,fun(X2,$o)) ) > X1 ) ).

tff(func_def_5940,type,
    sK4887: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( fun(X1,fun(X0,$o)) * fun(X0,fun(X2,$o)) * fun(X1,fun(X2,$o)) ) > X0 ) ).

tff(func_def_5941,type,
    sK4888: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( fun(X1,fun(X0,$o)) * fun(X0,fun(X2,$o)) * fun(X1,fun(X2,$o)) ) > X2 ) ).

tff(func_def_5942,type,
    sK4889: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,$o)) * fun(X0,fun(X0,$o)) ) > X0 ) ).

tff(func_def_5943,type,
    sK4890: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,$o)) * fun(X0,fun(X0,$o)) ) > X0 ) ).

tff(func_def_5944,type,
    sK4891: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,fun(X1,$o)) * fun(list(X0),fun(list(X1),$o)) ) > X0 ) ).

tff(func_def_5945,type,
    sK4892: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,fun(X1,$o)) * fun(list(X0),fun(list(X1),$o)) ) > list(X0) ) ).

tff(func_def_5946,type,
    sK4893: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,fun(X1,$o)) * fun(list(X0),fun(list(X1),$o)) ) > X1 ) ).

tff(func_def_5947,type,
    sK4894: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,fun(X1,$o)) * fun(list(X0),fun(list(X1),$o)) ) > list(X1) ) ).

tff(func_def_5948,type,
    sK4895: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,fun(X1,$o)) * fun(list(X0),fun(list(X1),$o)) ) > X0 ) ).

tff(func_def_5949,type,
    sK4896: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,fun(X1,$o)) * fun(list(X0),fun(list(X1),$o)) ) > list(X0) ) ).

tff(func_def_5950,type,
    sK4897: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,fun(X1,$o)) * fun(list(X0),fun(list(X1),$o)) ) > X1 ) ).

tff(func_def_5951,type,
    sK4898: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,fun(X1,$o)) * fun(list(X0),fun(list(X1),$o)) ) > list(X1) ) ).

tff(func_def_5952,type,
    sK4899: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,fun(X1,$o)) * list(X0) * list(X1) ) > X0 ) ).

tff(func_def_5953,type,
    sK4900: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,fun(X1,$o)) * list(X0) * list(X1) ) > list(X0) ) ).

tff(func_def_5954,type,
    sK4901: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,fun(X1,$o)) * list(X0) * list(X1) ) > X1 ) ).

tff(func_def_5955,type,
    sK4902: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,fun(X1,$o)) * list(X0) * list(X1) ) > list(X1) ) ).

tff(func_def_5956,type,
    sK4903: 
      !>[X0: $tType] : ( set(product_prod(X0,X0)) > fun(nat,X0) ) ).

tff(func_def_5957,type,
    sK4904: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * fun(nat,X0) ) > nat ) ).

tff(func_def_5958,type,
    sK4905: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * fun(nat,X0) ) > nat ) ).

tff(func_def_5959,type,
    sK4906: 
      !>[X0: $tType] : ( set(product_prod(X0,X0)) > fun(X0,$o) ) ).

tff(func_def_5960,type,
    sK4907: 
      !>[X0: $tType] : ( set(product_prod(X0,X0)) > X0 ) ).

tff(func_def_5961,type,
    sK4908: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * X0 ) > X0 ) ).

tff(func_def_5962,type,
    sK4909: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * fun(X0,$o) ) > X0 ) ).

tff(func_def_5963,type,
    sK4910: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * set(X0) ) > X0 ) ).

tff(func_def_5964,type,
    sK4911: 
      !>[X0: $tType] : ( set(product_prod(X0,X0)) > X0 ) ).

tff(func_def_5965,type,
    sK4912: 
      !>[X0: $tType] : ( set(product_prod(X0,X0)) > set(X0) ) ).

tff(func_def_5966,type,
    sK4913: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * X0 ) > X0 ) ).

tff(func_def_5967,type,
    sK4914: 
      !>[X0: $tType] : ( set(product_prod(X0,X0)) > fun(X0,$o) ) ).

tff(func_def_5968,type,
    sK4915: 
      !>[X0: $tType] : ( set(product_prod(X0,X0)) > X0 ) ).

tff(func_def_5969,type,
    sK4916: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * X0 ) > X0 ) ).

tff(func_def_5970,type,
    sK4917: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * fun(X0,$o) ) > X0 ) ).

tff(func_def_5971,type,
    sK4918: 
      !>[X0: $tType] : ( set(product_prod(X0,X0)) > set(X0) ) ).

tff(func_def_5972,type,
    sK4919: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * X0 ) > X0 ) ).

tff(func_def_5973,type,
    sK4920: 
      !>[X0: $tType] : ( set(product_prod(X0,X0)) > X0 ) ).

tff(func_def_5974,type,
    sK4921: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * set(X0) ) > X0 ) ).

tff(func_def_5975,type,
    sK4922: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * fun(X0,$o) ) > X0 ) ).

tff(func_def_5976,type,
    sK4923: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * set(X0) ) > X0 ) ).

tff(func_def_5977,type,
    sK4924: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,fun(X1,$o)) * list(X0) * list(X0) * list(X1) ) > list(X1) ) ).

tff(func_def_5978,type,
    sK4925: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,fun(X1,$o)) * list(X0) * list(X0) * list(X1) ) > list(X1) ) ).

tff(func_def_5979,type,
    sK4926: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,fun(X1,$o)) * list(X0) * list(X1) * list(X1) ) > list(X0) ) ).

tff(func_def_5980,type,
    sK4927: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,fun(X1,$o)) * list(X0) * list(X1) * list(X1) ) > list(X0) ) ).

tff(func_def_5981,type,
    sK4928: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,$o)) * list(X0) ) > X0 ) ).

tff(func_def_5982,type,
    sK4929: 
      !>[X0: $tType] : ( ( list(X0) * fun(X0,fun(X0,$o)) ) > X0 ) ).

tff(func_def_5983,type,
    sK4930: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,fun(X1,$o)) * list(X0) * list(X1) * fun(X0,fun(X1,$o)) ) > X0 ) ).

tff(func_def_5984,type,
    sK4931: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,fun(X1,$o)) * list(X0) * list(X1) * fun(X0,fun(X1,$o)) ) > X1 ) ).

tff(func_def_5985,type,
    sK4932: 
      !>[X0: $tType,X1: $tType] : ( ( list(X0) * list(X1) * fun(X0,fun(X1,$o)) * fun(X0,fun(X1,$o)) ) > X0 ) ).

tff(func_def_5986,type,
    sK4933: 
      !>[X0: $tType,X1: $tType] : ( ( list(X0) * list(X1) * fun(X0,fun(X1,$o)) * fun(X0,fun(X1,$o)) ) > X1 ) ).

tff(func_def_5987,type,
    sK4934: 
      !>[X0: $tType,X1: $tType] : ( ( list(X0) * list(X1) * fun(X0,fun(X1,$o)) ) > nat ) ).

tff(func_def_5988,type,
    sK4935: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,fun(X1,$o)) * list(X0) * list(X1) ) > nat ) ).

tff(func_def_5989,type,
    sK4936: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * set(X0) * set(X0) ) > X0 ) ).

tff(func_def_5990,type,
    sK4937: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * set(X0) * set(X0) ) > fun(X0,$o) ) ).

tff(func_def_5991,type,
    sK4938: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * set(X0) * set(X0) * X0 ) > X0 ) ).

tff(func_def_5992,type,
    sK4939: 
      !>[X0: $tType] : ( set(product_prod(X0,X0)) > set(X0) ) ).

tff(func_def_5993,type,
    sK4940: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * X0 ) > X0 ) ).

tff(func_def_5994,type,
    sK4941: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * set(X0) ) > X0 ) ).

tff(func_def_5995,type,
    sK4942: 
      !>[X0: $tType,X1: $tType] : ( ( set(product_prod(X1,X1)) * fun(X1,set(X0)) * fun(X1,set(X0)) ) > X1 ) ).

tff(func_def_5996,type,
    sK4943: 
      !>[X0: $tType,X1: $tType] : ( ( set(product_prod(X1,X1)) * fun(X1,set(X0)) * fun(X1,set(X0)) ) > X1 ) ).

tff(func_def_5997,type,
    sK4944: 
      !>[X0: $tType,X1: $tType] : ( ( list(X0) * list(X1) * fun(X0,fun(X1,$o)) ) > product_prod(X0,X1) ) ).

tff(func_def_5998,type,
    sK4945: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,fun(X0,$o)) * list(X1) * list(X0) ) > product_prod(X1,X0) ) ).

tff(func_def_5999,type,
    sK4946: 
      !>[X0: $tType,X1: $tType] : ( fun(fun(X1,X0),fun(X1,fun(X0,$o))) > fun(X1,X0) ) ).

tff(func_def_6000,type,
    sK4947: 
      !>[X0: $tType,X1: $tType] : ( ( set(product_prod(X1,X1)) * fun(fun(X1,X0),fun(X1,fun(X0,$o))) ) > X1 ) ).

tff(func_def_6001,type,
    sK4948: 
      !>[X0: $tType,X1: $tType] : ( ( set(product_prod(X1,X1)) * fun(fun(X1,X0),fun(X1,fun(X0,$o))) ) > fun(X1,X0) ) ).

tff(func_def_6002,type,
    sK4949: 
      !>[X0: $tType,X1: $tType] : ( ( set(product_prod(X1,X1)) * fun(fun(X1,X0),fun(X1,fun(X0,$o))) ) > fun(X1,X0) ) ).

tff(func_def_6003,type,
    sK4950: 
      !>[X0: $tType,X1: $tType] : ( ( set(product_prod(X1,X1)) * fun(fun(X1,X0),fun(X1,fun(X0,$o))) ) > fun(X1,X0) ) ).

tff(func_def_6004,type,
    sK4951: 
      !>[X0: $tType,X1: $tType] : ( ( set(product_prod(X1,X1)) * fun(fun(X1,X0),fun(X1,fun(X0,$o))) ) > X1 ) ).

tff(func_def_6005,type,
    sK4952: 
      !>[X0: $tType,X1: $tType] : ( ( set(product_prod(X1,X1)) * fun(fun(X1,X0),fun(X1,fun(X0,$o))) ) > X0 ) ).

tff(func_def_6006,type,
    sK4953: 
      !>[X0: $tType,X1: $tType] : ( fun(fun(X1,X0),fun(X1,fun(X0,$o))) > fun(X1,X0) ) ).

tff(func_def_6007,type,
    sK4954: 
      !>[X0: $tType,X1: $tType] : ( fun(fun(X1,X0),fun(X1,fun(X0,$o))) > X1 ) ).

tff(func_def_6008,type,
    sK4955: 
      !>[X0: $tType,X1: $tType] : ( fun(fun(X1,X0),fun(X1,fun(X0,$o))) > fun(X1,X0) ) ).

tff(func_def_6009,type,
    sK4956: 
      !>[X0: $tType,X1: $tType] : ( fun(fun(X1,X0),fun(X1,fun(X0,$o))) > X0 ) ).

tff(func_def_6010,type,
    sK4957: 
      !>[X0: $tType,X1: $tType] : ( fun(fun(X1,X0),fun(X1,fun(X0,$o))) > fun(X1,X0) ) ).

tff(func_def_6011,type,
    sK4958: 
      !>[X0: $tType,X1: $tType] : ( fun(fun(X1,X0),fun(X1,fun(X0,$o))) > fun(X1,X0) ) ).

tff(func_def_6012,type,
    sK4959: 
      !>[X0: $tType,X1: $tType] : ( fun(fun(X1,X0),fun(X1,fun(X0,$o))) > X1 ) ).

tff(func_def_6013,type,
    sK4960: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * fun(X0,$o) ) > X0 ) ).

tff(func_def_6014,type,
    sK4961: 
      !>[X0: $tType] : ( ( set(set(X0)) * set(X0) ) > set(X0) ) ).

tff(func_def_6015,type,
    sK4962: 
      !>[X0: $tType] : ( set(product_prod(X0,X0)) > X0 ) ).

tff(func_def_6016,type,
    sK4963: 
      !>[X0: $tType] : ( set(product_prod(X0,X0)) > set(X0) ) ).

tff(func_def_6017,type,
    sK4964: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * X0 ) > X0 ) ).

tff(func_def_6018,type,
    sK4965: 
      !>[X0: $tType] : ( set(set(X0)) > set(X0) ) ).

tff(func_def_6019,type,
    sK4966: 
      !>[X0: $tType] : ( set(set(X0)) > set(set(X0)) ) ).

tff(func_def_6020,type,
    sK4967: 
      !>[X0: $tType] : ( ( set(set(X0)) * set(X0) ) > set(X0) ) ).

tff(func_def_6021,type,
    sK4968: 
      !>[X0: $tType] : ( set(set(X0)) > set(X0) ) ).

tff(func_def_6022,type,
    sK4969: 
      !>[X0: $tType] : ( set(set(X0)) > set(set(X0)) ) ).

tff(func_def_6023,type,
    sK4970: 
      !>[X0: $tType] : ( set(set(X0)) > set(X0) ) ).

tff(func_def_6024,type,
    sK4971: 
      !>[X0: $tType] : ( set(set(X0)) > set(set(X0)) ) ).

tff(func_def_6025,type,
    sK4972: 
      !>[X0: $tType] : ( ( set(set(X0)) * set(X0) ) > set(X0) ) ).

tff(func_def_6026,type,
    sK4973: 
      !>[X0: $tType] : ( set(set(X0)) > set(X0) ) ).

tff(func_def_6027,type,
    sK4974: 
      !>[X0: $tType] : ( set(set(X0)) > set(X0) ) ).

tff(func_def_6028,type,
    sK4975: 
      !>[X0: $tType] : ( set(set(X0)) > set(X0) ) ).

tff(func_def_6029,type,
    sK4976: 
      !>[X0: $tType] : ( set(set(X0)) > set(X0) ) ).

tff(func_def_6030,type,
    sK4977: 
      !>[X0: $tType] : ( ( set(X0) * fun(X0,fun(X0,$o)) ) > X0 ) ).

tff(func_def_6031,type,
    sK4978: 
      !>[X0: $tType] : ( ( set(X0) * fun(X0,fun(X0,$o)) ) > X0 ) ).

tff(func_def_6032,type,
    sK4979: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,$o)) * set(X0) ) > X0 ) ).

tff(func_def_6033,type,
    sK4980: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,$o)) * set(X0) ) > X0 ) ).

tff(func_def_6034,type,
    sK4981: 
      !>[X0: $tType] : ( set(set(X0)) > set(X0) ) ).

tff(func_def_6035,type,
    sK4982: 
      !>[X0: $tType] : ( set(set(X0)) > set(set(X0)) ) ).

tff(func_def_6036,type,
    sK4983: 
      !>[X0: $tType] : ( set(set(X0)) > set(X0) ) ).

tff(func_def_6037,type,
    sK4984: 
      !>[X0: $tType] : ( set(set(X0)) > set(X0) ) ).

tff(func_def_6038,type,
    sK4985: 
      !>[X0: $tType] : ( ( set(X0) * set(set(X0)) ) > set(X0) ) ).

tff(func_def_6039,type,
    sK4986: 
      !>[X0: $tType] : ( set(set(X0)) > set(X0) ) ).

tff(func_def_6040,type,
    sK4987: 
      !>[X0: $tType] : ( set(set(X0)) > set(set(X0)) ) ).

tff(func_def_6041,type,
    sK4988: 
      !>[X0: $tType] : ( ( set(set(X0)) * set(X0) ) > set(X0) ) ).

tff(func_def_6042,type,
    sK4989: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,$o)) * set(X0) * X0 ) > X0 ) ).

tff(func_def_6043,type,
    sK4990: 
      !>[X0: $tType] : ( ( set(X0) * set(set(X0)) ) > set(X0) ) ).

tff(func_def_6044,type,
    sK4991: ( fun(nat,rat) * rat ) > nat ).

tff(func_def_6045,type,
    sK4992: 
      !>[X0: $tType] : ( set(set(X0)) > set(X0) ) ).

tff(func_def_6046,type,
    sK4993: 
      !>[X0: $tType] : ( set(set(X0)) > set(X0) ) ).

tff(func_def_6047,type,
    sK4994: fun(nat,rat) > rat ).

tff(func_def_6048,type,
    sK4995: fun(nat,rat) > rat ).

tff(func_def_6049,type,
    sK4996: fun(nat,rat) > nat ).

tff(func_def_6050,type,
    sK4997: fun(nat,rat) > rat ).

tff(func_def_6051,type,
    sK4998: fun(nat,rat) > nat ).

tff(func_def_6052,type,
    sK4999: fun(nat,rat) > rat ).

tff(func_def_6053,type,
    sK5000: ( fun(nat,rat) * nat ) > nat ).

tff(func_def_6054,type,
    sK5001: ( fun(nat,rat) * nat ) > nat ).

tff(func_def_6055,type,
    sK5002: ( fun(nat,rat) * rat ) > nat ).

tff(func_def_6056,type,
    sK5003: fun(nat,rat) > rat ).

tff(func_def_6057,type,
    sK5004: ( fun(nat,rat) * nat ) > nat ).

tff(func_def_6058,type,
    sK5005: ( fun(nat,rat) * nat ) > nat ).

tff(func_def_6059,type,
    sK5006: ( fun(nat,rat) * fun(nat,rat) ) > rat ).

tff(func_def_6060,type,
    sK5007: ( fun(nat,rat) * fun(nat,rat) * nat ) > nat ).

tff(func_def_6061,type,
    sK5008: ( fun(nat,rat) * fun(nat,rat) * rat ) > nat ).

tff(func_def_6062,type,
    sK5009: 
      !>[X0: $tType] : ( ( fun(X0,X0) * X0 ) > X0 ) ).

tff(func_def_6063,type,
    sK5010: 
      !>[X0: $tType] : ( fun(X0,fun(X0,X0)) > X0 ) ).

tff(func_def_6064,type,
    sK5011: 
      !>[X0: $tType] : ( fun(X0,fun(X0,X0)) > X0 ) ).

tff(func_def_6065,type,
    sK5012: 
      !>[X0: $tType] : ( fun(X0,fun(X0,X0)) > X0 ) ).

tff(func_def_6066,type,
    sK5013: 
      !>[X0: $tType] : ( fun(X0,fun(X0,X0)) > X0 ) ).

tff(func_def_6067,type,
    sK5014: 
      !>[X0: $tType] : ( ( fun(X0,X0) * X0 ) > X0 ) ).

tff(func_def_6068,type,
    sK5015: 
      !>[X0: $tType] : ( ( fun(X0,X0) * fun(X0,X0) ) > X0 ) ).

tff(func_def_6069,type,
    sK5016: 
      !>[X0: $tType] : ( fun(X0,$o) > set(X0) ) ).

tff(func_def_6070,type,
    sK5017: 
      !>[X0: $tType] : ( ( fun(X0,X0) * fun(X0,$o) ) > X0 ) ).

tff(func_def_6071,type,
    sK5018: fun(nat,rat) > rat ).

tff(func_def_6072,type,
    sK5019: ( fun(nat,rat) * nat ) > nat ).

tff(func_def_6073,type,
    sK5020: ( fun(nat,rat) * rat ) > nat ).

tff(func_def_6074,type,
    sK5021: 
      !>[X0: $tType,X1: $tType] : ( ( fun(set(product_prod(X0,X1)),set(product_prod(X0,X1))) * fun(X0,fun(X1,$o)) ) > X0 ) ).

tff(func_def_6075,type,
    sK5022: 
      !>[X0: $tType,X1: $tType] : ( ( fun(set(product_prod(X0,X1)),set(product_prod(X0,X1))) * fun(X0,fun(X1,$o)) ) > X1 ) ).

tff(func_def_6076,type,
    sK5023: 
      !>[X0: $tType] : ( ( fun(X0,X0) * set(X0) ) > X0 ) ).

tff(func_def_6077,type,
    sK5024: 
      !>[X0: $tType] : ( ( X0 * fun(X0,X0) ) > X0 ) ).

tff(func_def_6078,type,
    sK5025: 
      !>[X0: $tType] : ( ( X0 * fun(X0,X0) ) > set(X0) ) ).

tff(func_def_6079,type,
    sK5026: 
      !>[X0: $tType] : ( ( fun(X0,X0) * X0 ) > set(X0) ) ).

tff(func_def_6080,type,
    sK5027: 
      !>[X0: $tType] : ( ( fun(X0,X0) * X0 ) > X0 ) ).

tff(func_def_6081,type,
    sK5028: 
      !>[X0: $tType] : ( ( set(X0) * fun(X0,X0) ) > X0 ) ).

tff(func_def_6082,type,
    sK5029: ( fun(nat,rat) * rat * nat ) > nat ).

tff(func_def_6083,type,
    sK5030: fun(nat,rat) > rat ).

tff(func_def_6084,type,
    sK5031: fun(nat,rat) > nat ).

tff(func_def_6085,type,
    sK5032: ( real * rat * nat ) > nat ).

tff(func_def_6086,type,
    sK5033: real > rat ).

tff(func_def_6087,type,
    sK5034: real > nat ).

tff(func_def_6088,type,
    sK5035: 
      !>[X0: $tType] : X0 ).

tff(func_def_6089,type,
    sK5036: 
      !>[X0: $tType] : X0 ).

tff(func_def_6090,type,
    sK5037: 
      !>[X0: $tType] : ( fun(list(X0),fun(list(X0),$o)) > X0 ) ).

tff(func_def_6091,type,
    sK5038: 
      !>[X0: $tType] : ( fun(list(X0),fun(list(X0),$o)) > list(X0) ) ).

tff(func_def_6092,type,
    sK5039: 
      !>[X0: $tType] : ( fun(list(X0),fun(list(X0),$o)) > list(X0) ) ).

tff(func_def_6093,type,
    sK5040: 
      !>[X0: $tType] : ( fun(list(X0),fun(list(X0),$o)) > X0 ) ).

tff(func_def_6094,type,
    sK5041: 
      !>[X0: $tType] : ( fun(list(X0),fun(list(X0),$o)) > list(X0) ) ).

tff(func_def_6095,type,
    sK5042: 
      !>[X0: $tType] : ( fun(list(X0),fun(list(X0),$o)) > X0 ) ).

tff(func_def_6096,type,
    sK5043: 
      !>[X0: $tType] : ( fun(list(X0),fun(list(X0),$o)) > list(X0) ) ).

tff(func_def_6097,type,
    sK5044: 
      !>[X0: $tType] : ( fun(list(X0),fun(list(X0),$o)) > X0 ) ).

tff(func_def_6098,type,
    sK5045: 
      !>[X0: $tType] : ( fun(list(X0),fun(list(X0),$o)) > list(X0) ) ).

tff(func_def_6099,type,
    sK5046: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) ) > X0 ) ).

tff(func_def_6100,type,
    sK5047: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) ) > X0 ) ).

tff(func_def_6101,type,
    sK5048: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) ) > list(X0) ) ).

tff(func_def_6102,type,
    sK5049: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) ) > list(X0) ) ).

tff(func_def_6103,type,
    sK5050: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) ) > X0 ) ).

tff(func_def_6104,type,
    sK5051: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) ) > list(X0) ) ).

tff(func_def_6105,type,
    sK5052: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) ) > list(X0) ) ).

tff(func_def_6106,type,
    sK5053: 
      !>[X0: $tType] : ( list(X0) > X0 ) ).

tff(func_def_6107,type,
    sK5054: 
      !>[X0: $tType] : ( list(X0) > list(X0) ) ).

tff(func_def_6108,type,
    sK5055: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) ) > X0 ) ).

tff(func_def_6109,type,
    sK5056: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) ) > list(X0) ) ).

tff(func_def_6110,type,
    sK5057: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) ) > X0 ) ).

tff(func_def_6111,type,
    sK5058: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) ) > X0 ) ).

tff(func_def_6112,type,
    sK5059: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) ) > list(X0) ) ).

tff(func_def_6113,type,
    sK5060: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) ) > list(X0) ) ).

tff(func_def_6114,type,
    sK5061: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) ) > X0 ) ).

tff(func_def_6115,type,
    sK5062: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) ) > X0 ) ).

tff(func_def_6116,type,
    sK5063: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) ) > list(X0) ) ).

tff(func_def_6117,type,
    sK5064: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) ) > list(X0) ) ).

tff(func_def_6118,type,
    sK5065: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) ) > X0 ) ).

tff(func_def_6119,type,
    sK5066: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) ) > X0 ) ).

tff(func_def_6120,type,
    sK5067: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) ) > list(X0) ) ).

tff(func_def_6121,type,
    sK5068: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) ) > list(X0) ) ).

tff(func_def_6122,type,
    sK5069: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) ) > X0 ) ).

tff(func_def_6123,type,
    sK5070: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) ) > X0 ) ).

tff(func_def_6124,type,
    sK5071: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) ) > list(X0) ) ).

tff(func_def_6125,type,
    sK5072: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) ) > list(X0) ) ).

tff(func_def_6126,type,
    sK5073: 
      !>[X0: $tType] : ( list(X0) > X0 ) ).

tff(func_def_6127,type,
    sK5074: 
      !>[X0: $tType] : ( list(X0) > list(X0) ) ).

tff(func_def_6128,type,
    sK5075: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) ) > X0 ) ).

tff(func_def_6129,type,
    sK5076: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) ) > list(X0) ) ).

tff(func_def_6130,type,
    sK5077: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) ) > list(X0) ) ).

tff(func_def_6131,type,
    sK5078: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) ) > X0 ) ).

tff(func_def_6132,type,
    sK5079: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) ) > X0 ) ).

tff(func_def_6133,type,
    sK5080: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) ) > list(X0) ) ).

tff(func_def_6134,type,
    sK5081: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) ) > list(X0) ) ).

tff(func_def_6135,type,
    sK5082: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) ) > X0 ) ).

tff(func_def_6136,type,
    sK5083: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) ) > list(X0) ) ).

tff(func_def_6137,type,
    sK5084: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) * fun(X0,fun(X0,$o)) ) > X0 ) ).

tff(func_def_6138,type,
    sK5085: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) * fun(X0,fun(X0,$o)) ) > X0 ) ).

tff(func_def_6139,type,
    sK5086: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) * fun(X0,fun(X0,$o)) ) > list(X0) ) ).

tff(func_def_6140,type,
    sK5087: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) * fun(X0,fun(X0,$o)) ) > list(X0) ) ).

tff(func_def_6141,type,
    sK5088: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) * fun(X0,fun(X0,$o)) ) > X0 ) ).

tff(func_def_6142,type,
    sK5089: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) * fun(X0,fun(X0,$o)) ) > X0 ) ).

tff(func_def_6143,type,
    sK5090: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) * fun(X0,fun(X0,$o)) ) > list(X0) ) ).

tff(func_def_6144,type,
    sK5091: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) * fun(X0,fun(X0,$o)) ) > list(X0) ) ).

tff(func_def_6145,type,
    sK5092: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,$o)) * list(X0) * list(X0) ) > X0 ) ).

tff(func_def_6146,type,
    sK5093: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,$o)) * list(X0) * list(X0) ) > X0 ) ).

tff(func_def_6147,type,
    sK5094: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,$o)) * list(X0) * list(X0) ) > list(X0) ) ).

tff(func_def_6148,type,
    sK5095: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,$o)) * list(X0) * list(X0) ) > list(X0) ) ).

tff(func_def_6149,type,
    sK5096: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,$o)) * list(X0) * list(X0) ) > X0 ) ).

tff(func_def_6150,type,
    sK5097: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,$o)) * list(X0) * list(X0) ) > X0 ) ).

tff(func_def_6151,type,
    sK5098: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,$o)) * list(X0) * list(X0) ) > list(X0) ) ).

tff(func_def_6152,type,
    sK5099: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,$o)) * list(X0) * list(X0) ) > list(X0) ) ).

tff(func_def_6153,type,
    sK5100: 
      !>[X0: $tType] : ( list(X0) > X0 ) ).

tff(func_def_6154,type,
    sK5101: 
      !>[X0: $tType] : ( list(X0) > list(X0) ) ).

tff(func_def_6155,type,
    sK5102: 
      !>[X0: $tType] : ( fun(X0,fun(X0,$o)) > X0 ) ).

tff(func_def_6156,type,
    sK5103: 
      !>[X0: $tType] : ( fun(X0,fun(X0,$o)) > X0 ) ).

tff(func_def_6157,type,
    sK5104: 
      !>[X0: $tType] : ( ( set(X0) * set(product_prod(X0,X0)) * nat ) > set(X0) ) ).

tff(func_def_6158,type,
    sK5105: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * set(product_prod(X1,X1)) * fun(X1,set(X0)) ) > X1 ) ).

tff(func_def_6159,type,
    sK5106: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * set(product_prod(X1,X1)) * fun(X1,set(X0)) ) > X1 ) ).

tff(func_def_6160,type,
    sK5107: 
      !>[X0: $tType,X1: $tType] : ( ( set(product_prod(X1,X1)) * fun(X1,X0) ) > X1 ) ).

tff(func_def_6161,type,
    sK5108: 
      !>[X0: $tType,X1: $tType] : ( ( set(product_prod(X1,X1)) * fun(X1,X0) ) > X1 ) ).

tff(func_def_6162,type,
    sK5109: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * set(product_prod(X1,X0)) ) > X1 ) ).

tff(func_def_6163,type,
    sK5110: ( set(nat) * nat ) > nat ).

tff(func_def_6164,type,
    sK5111: 
      !>[X0: $tType] : ( ( set(X0) * set(X0) * set(product_prod(X0,X0)) ) > X0 ) ).

tff(func_def_6165,type,
    sK5112: 
      !>[X0: $tType,X1: $tType] : ( ( X0 * set(product_prod(X1,X0)) * set(X1) ) > X1 ) ).

tff(func_def_6166,type,
    sK5113: 
      !>[X0: $tType,X1: $tType] : ( ( X0 * set(product_prod(X1,X0)) * set(X1) ) > X1 ) ).

tff(func_def_6167,type,
    sK5114: 
      !>[X0: $tType] : ( set(product_prod(X0,X0)) > set(X0) ) ).

tff(func_def_6168,type,
    sK5115: 
      !>[X0: $tType] : ( ( set(X0) * set(X0) ) > nat ) ).

tff(func_def_6169,type,
    sK5116: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > nat ) ).

tff(func_def_6170,type,
    sK5117: 
      !>[X0: $tType] : ( ( set(X0) * set(X0) ) > nat ) ).

tff(func_def_6171,type,
    sK5118: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( set(product_prod(X2,X2)) * set(product_prod(X1,X1)) * fun(X2,fun(X1,X0)) ) > X2 ) ).

tff(func_def_6172,type,
    sK5119: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( set(product_prod(X2,X2)) * set(product_prod(X1,X1)) * fun(X2,fun(X1,X0)) ) > X2 ) ).

tff(func_def_6173,type,
    sK5120: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( set(product_prod(X2,X2)) * set(product_prod(X1,X1)) * fun(X2,fun(X1,X0)) ) > X1 ) ).

tff(func_def_6174,type,
    sK5121: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( set(product_prod(X2,X2)) * set(product_prod(X1,X1)) * fun(X2,fun(X1,X0)) ) > X1 ) ).

tff(func_def_6175,type,
    sK5122: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( fun(X2,fun(X1,X0)) * set(product_prod(X2,X2)) * set(X1) ) > X2 ) ).

tff(func_def_6176,type,
    sK5123: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( fun(X2,fun(X1,X0)) * set(product_prod(X2,X2)) * set(X1) ) > X2 ) ).

tff(func_def_6177,type,
    sK5124: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( fun(X2,fun(X1,X0)) * set(product_prod(X2,X2)) * set(X1) ) > X1 ) ).

tff(func_def_6178,type,
    sK5125: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( set(X2) * set(product_prod(X1,X1)) * fun(X2,fun(X1,X0)) ) > X1 ) ).

tff(func_def_6179,type,
    sK5126: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( set(X2) * set(product_prod(X1,X1)) * fun(X2,fun(X1,X0)) ) > X1 ) ).

tff(func_def_6180,type,
    sK5127: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( set(X2) * set(product_prod(X1,X1)) * fun(X2,fun(X1,X0)) ) > X2 ) ).

tff(func_def_6181,type,
    sK5128: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,fun(X1,X0)) * set(X1) ) > X1 ) ).

tff(func_def_6182,type,
    sK5129: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,fun(X1,X0)) * set(X1) ) > X1 ) ).

tff(func_def_6183,type,
    sK5130: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * set(product_prod(X1,X1)) * fun(X1,fun(X1,X0)) ) > X1 ) ).

tff(func_def_6184,type,
    sK5131: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * set(product_prod(X1,X1)) * fun(X1,fun(X1,X0)) ) > X1 ) ).

tff(func_def_6185,type,
    sK5132: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * set(product_prod(X1,X1)) * fun(X1,fun(X1,X0)) ) > X1 ) ).

tff(func_def_6186,type,
    sK5133: 
      !>[X0: $tType] : ( ( fun(X0,$o) * fun(X0,$o) ) > X0 ) ).

tff(func_def_6187,type,
    sK5134: 
      !>[X0: $tType] : ( ( fun(X0,$o) * fun(X0,$o) ) > X0 ) ).

tff(func_def_6188,type,
    sK5135: ( fun(nat,$o) * fun(nat,$o) ) > nat ).

tff(func_def_6189,type,
    sK5136: 
      !>[X0: $tType] : ( ( fun(X0,$o) * fun(X0,$o) ) > X0 ) ).

tff(func_def_6190,type,
    sK5137: 
      !>[X0: $tType] : ( ( fun(X0,$o) * fun(X0,$o) ) > X0 ) ).

tff(func_def_6191,type,
    sK5138: 
      !>[X0: $tType] : ( ( fun(X0,$o) * X0 ) > X0 ) ).

tff(func_def_6192,type,
    sK5139: 
      !>[X0: $tType] : ( ( fun(X0,$o) * fun(X0,$o) ) > X0 ) ).

tff(func_def_6193,type,
    sK5140: 
      !>[X0: $tType] : ( ( fun(X0,$o) * X0 ) > X0 ) ).

tff(func_def_6194,type,
    sK5141: 
      !>[X0: $tType] : ( ( fun(X0,$o) * X0 ) > X0 ) ).

tff(func_def_6195,type,
    sK5142: 
      !>[X0: $tType] : ( ( fun(X0,$o) * X0 ) > X0 ) ).

tff(func_def_6196,type,
    sK5143: 
      !>[X0: $tType] : ( ( fun(X0,$o) * X0 ) > X0 ) ).

tff(func_def_6197,type,
    sK5144: 
      !>[X0: $tType] : ( ( fun(X0,$o) * X0 ) > X0 ) ).

tff(func_def_6198,type,
    sK5145: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_6199,type,
    sK5146: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * set(X0) * set(X0) ) > X0 ) ).

tff(func_def_6200,type,
    sK5147: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * set(X0) * X0 ) > X0 ) ).

tff(func_def_6201,type,
    sK5148: 
      !>[X0: $tType] : ( set(product_prod(X0,X0)) > X0 ) ).

tff(func_def_6202,type,
    sK5149: 
      !>[X0: $tType] : ( set(product_prod(X0,X0)) > X0 ) ).

tff(func_def_6203,type,
    sK5150: 
      !>[X0: $tType] : ( set(product_prod(X0,X0)) > X0 ) ).

tff(func_def_6204,type,
    sK5151: 
      !>[X0: $tType] : ( set(product_prod(X0,X0)) > X0 ) ).

tff(func_def_6205,type,
    sK5152: 
      !>[X0: $tType,X1: $tType] : ( fun(fun(X1,X0),fun(list(X1),list(X1))) > fun(X1,X0) ) ).

tff(func_def_6206,type,
    sK5153: 
      !>[X0: $tType,X1: $tType] : ( fun(fun(X1,X0),fun(list(X1),list(X1))) > list(X1) ) ).

tff(func_def_6207,type,
    sK5154: 
      !>[X0: $tType,X1: $tType] : ( fun(fun(X1,X0),fun(list(X1),list(X1))) > X0 ) ).

tff(func_def_6208,type,
    sK5155: 
      !>[X0: $tType,X1: $tType,X2: $tType,X3: $tType] : ( ( product_prod(X1,X0) * fun(X3,X1) * fun(X2,X0) * set(product_prod(X3,X2)) ) > X3 ) ).

tff(func_def_6209,type,
    sK5156: 
      !>[X0: $tType,X1: $tType,X2: $tType,X3: $tType] : ( ( product_prod(X1,X0) * fun(X3,X1) * fun(X2,X0) * set(product_prod(X3,X2)) ) > X2 ) ).

tff(func_def_6210,type,
    sK5157: 
      !>[X0: $tType] : ( fun(fun(nat,fun(X0,X0)),fun(nat,fun(nat,fun(X0,$o)))) > fun(nat,fun(X0,X0)) ) ).

tff(func_def_6211,type,
    sK5158: 
      !>[X0: $tType] : ( fun(fun(nat,fun(X0,X0)),fun(nat,fun(nat,fun(X0,$o)))) > nat ) ).

tff(func_def_6212,type,
    sK5159: 
      !>[X0: $tType] : ( fun(fun(nat,fun(X0,X0)),fun(nat,fun(nat,fun(X0,$o)))) > nat ) ).

tff(func_def_6213,type,
    sK5160: 
      !>[X0: $tType] : ( fun(fun(nat,fun(X0,X0)),fun(nat,fun(nat,fun(X0,$o)))) > X0 ) ).

tff(func_def_6214,type,
    sK5161: 
      !>[X0: $tType] : ( ( X0 * list(X0) ) > X0 ) ).

tff(func_def_6215,type,
    sK5162: 
      !>[X0: $tType] : ( ( list(X0) * X0 ) > X0 ) ).

tff(func_def_6216,type,
    sK5163: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_6217,type,
    sK5164: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_6218,type,
    sK5165: 
      !>[X0: $tType] : ( set(X0) > set(X0) ) ).

tff(func_def_6219,type,
    sK5166: 
      !>[X0: $tType] : ( set(X0) > fun(X0,real) ) ).

tff(func_def_6220,type,
    sK5167: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_6221,type,
    sK5168: 
      !>[X0: $tType] : ( set(X0) > set(X0) ) ).

tff(func_def_6222,type,
    sK5169: 
      !>[X0: $tType] : ( set(X0) > fun(X0,real) ) ).

tff(func_def_6223,type,
    sK5170: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_6224,type,
    sK5171: 
      !>[X0: $tType] : ( set(set(X0)) > set(X0) ) ).

tff(func_def_6225,type,
    sK5172: 
      !>[X0: $tType] : ( set(set(X0)) > set(X0) ) ).

tff(func_def_6226,type,
    sK5173: 
      !>[X0: $tType] : ( set(set(X0)) > set(X0) ) ).

tff(func_def_6227,type,
    sK5174: 
      !>[X0: $tType] : ( ( set(X0) * fun(X0,real) ) > X0 ) ).

tff(func_def_6228,type,
    sK5175: 
      !>[X0: $tType] : ( ( set(X0) * fun(X0,real) ) > X0 ) ).

tff(func_def_6229,type,
    sK5176: 
      !>[X0: $tType] : ( set(X0) > fun(X0,real) ) ).

tff(func_def_6230,type,
    sK5177: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_6231,type,
    sK5178: 
      !>[X0: $tType] : ( set(X0) > fun(X0,real) ) ).

tff(func_def_6232,type,
    sK5179: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_6233,type,
    sK5180: 
      !>[X0: $tType] : ( set(X0) > fun(X0,real) ) ).

tff(func_def_6234,type,
    sK5181: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_6235,type,
    sK5182: 
      !>[X0: $tType] : ( set(X0) > fun(X0,real) ) ).

tff(func_def_6236,type,
    sK5183: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_6237,type,
    sK5184: 
      !>[X0: $tType] : ( set(X0) > set(X0) ) ).

tff(func_def_6238,type,
    sK5185: 
      !>[X0: $tType] : ( set(X0) > fun(X0,real) ) ).

tff(func_def_6239,type,
    sK5186: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_6240,type,
    sK5187: 
      !>[X0: $tType,X1: $tType] : ( fun(X0,option(X1)) > X0 ) ).

tff(func_def_6241,type,
    sK5188: 
      !>[X0: $tType,X1: $tType] : ( fun(X0,option(X1)) > X0 ) ).

tff(func_def_6242,type,
    sK5189: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,option(X1)) * fun(X0,option(X1)) ) > X0 ) ).

tff(func_def_6243,type,
    sK5190: 
      !>[X0: $tType,X1: $tType] : ( fun(X0,option(X1)) > X0 ) ).

tff(func_def_6244,type,
    sK5191: 
      !>[X0: $tType,X1: $tType] : ( fun(X0,option(X1)) > X0 ) ).

tff(func_def_6245,type,
    sK5192: 
      !>[X0: $tType] : ( nat > nat ) ).

tff(func_def_6246,type,
    sK5193: 
      !>[X0: $tType] : nat ).

tff(func_def_6247,type,
    sK5194: 
      !>[X0: $tType] : ( nat > nat ) ).

tff(func_def_6248,type,
    sK5195: 
      !>[X0: $tType] : nat ).

tff(func_def_6249,type,
    sK5196: 
      !>[X0: $tType] : ( set(product_prod(X0,X0)) > X0 ) ).

tff(func_def_6250,type,
    sK5197: 
      !>[X0: $tType] : ( set(product_prod(X0,X0)) > X0 ) ).

tff(func_def_6251,type,
    sK5198: 
      !>[X0: $tType,X1: $tType] : ( ( set(product_prod(X1,X1)) * fun(X1,X0) ) > X1 ) ).

tff(func_def_6252,type,
    sK5199: 
      !>[X0: $tType,X1: $tType] : ( ( set(product_prod(X1,X1)) * fun(X1,X0) ) > X1 ) ).

tff(func_def_6253,type,
    sK5200: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) ) > list(X0) ) ).

tff(func_def_6254,type,
    sK5201: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) ) > list(X0) ) ).

tff(func_def_6255,type,
    sK5202: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) ) > list(X0) ) ).

tff(func_def_6256,type,
    sK5203: 
      !>[X0: $tType] : ( set(X0) > set(X0) ) ).

tff(func_def_6257,type,
    sK5204: 
      !>[X0: $tType] : ( set(X0) > set(X0) ) ).

tff(func_def_6258,type,
    sK5205: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_6259,type,
    sK5206: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_6260,type,
    sK5207: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_6261,type,
    sK5208: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_6262,type,
    sK5209: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_6263,type,
    sK5210: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_6264,type,
    sK5211: 
      !>[X0: $tType] : ( set(set(X0)) > set(X0) ) ).

tff(func_def_6265,type,
    sK5212: 
      !>[X0: $tType] : ( set(X0) > set(X0) ) ).

tff(func_def_6266,type,
    sK5213: 
      !>[X0: $tType] : ( set(X0) > set(X0) ) ).

tff(func_def_6267,type,
    sK5214: 
      !>[X0: $tType] : ( set(X0) > set(X0) ) ).

tff(func_def_6268,type,
    sK5215: 
      !>[X0: $tType] : ( set(X0) > set(X0) ) ).

tff(func_def_6269,type,
    sK5216: 
      !>[X0: $tType] : ( ( set(X0) * set(X0) ) > X0 ) ).

tff(func_def_6270,type,
    sK5217: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,set(X0)) * set(X1) ) > X1 ) ).

tff(func_def_6271,type,
    sK5218: 
      !>[X0: $tType] : ( ( set(X0) * set(X0) ) > X0 ) ).

tff(func_def_6272,type,
    sK5219: 
      !>[X0: $tType] : ( set(X0) > fun(nat,set(X0)) ) ).

tff(func_def_6273,type,
    sK5220: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,X0) * fun(X0,fun(X0,$o)) ) > X1 ) ).

tff(func_def_6274,type,
    sK5221: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,X0) * fun(X0,fun(X0,$o)) ) > X1 ) ).

tff(func_def_6275,type,
    sK5222: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,$o)) * fun(X0,fun(X0,$o)) ) > X0 ) ).

tff(func_def_6276,type,
    sK5223: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,$o)) * fun(X0,fun(X0,$o)) ) > X0 ) ).

tff(func_def_6277,type,
    sK5224: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,$o)) * X0 * set(X0) ) > X0 ) ).

tff(func_def_6278,type,
    sK5225: 
      !>[X0: $tType] : ( ( set(X0) * fun(X0,fun(X0,$o)) ) > X0 ) ).

tff(func_def_6279,type,
    sK5226: 
      !>[X0: $tType] : ( ( set(X0) * fun(X0,fun(X0,$o)) ) > X0 ) ).

tff(func_def_6280,type,
    sK5227: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,$o)) * set(X0) ) > X0 ) ).

tff(func_def_6281,type,
    sK5228: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,$o)) * set(X0) ) > X0 ) ).

tff(func_def_6282,type,
    sK5229: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,$o)) * set(X0) ) > X0 ) ).

tff(func_def_6283,type,
    sK5230: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,$o)) * set(X0) ) > X0 ) ).

tff(func_def_6284,type,
    sK5231: 
      !>[X0: $tType] : ( ( set(set(X0)) * fun(set(X0),set(X0)) ) > set(X0) ) ).

tff(func_def_6285,type,
    sK5232: 
      !>[X0: $tType] : ( set(set(X0)) > set(X0) ) ).

tff(func_def_6286,type,
    sK5233: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * list(X0) * list(X1) * list(X1) ) > X0 ) ).

tff(func_def_6287,type,
    sK5234: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * list(X0) * list(X1) * list(X1) ) > list(X0) ) ).

tff(func_def_6288,type,
    sK5235: ( fun(nat,rat) * rat * nat ) > nat ).

tff(func_def_6289,type,
    sK5236: fun(nat,rat) > rat ).

tff(func_def_6290,type,
    sK5237: fun(nat,rat) > nat ).

tff(func_def_6291,type,
    sK5238: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * fun(X1,$o) * X1 ) > X1 ) ).

tff(func_def_6292,type,
    sK5239: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,$o) * fun(X1,X0) * fun(X1,$o) ) > X1 ) ).

tff(func_def_6293,type,
    sK5240: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,$o) * X1 * fun(X1,X0) ) > X1 ) ).

tff(func_def_6294,type,
    sK5241: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,$o) * X1 * fun(X1,X0) ) > X1 ) ).

tff(func_def_6295,type,
    sK5242: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * fun(X1,$o) * X1 ) > X1 ) ).

tff(func_def_6296,type,
    sK5243: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * fun(X1,$o) * X1 ) > X1 ) ).

tff(func_def_6297,type,
    sK5244: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_6298,type,
    sK5245: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * fun(X0,$o) ) > X0 ) ).

tff(func_def_6299,type,
    sK5246: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * fun(X0,$o) ) > X0 ) ).

tff(func_def_6300,type,
    sK5247: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * set(X0) ) > X0 ) ).

tff(func_def_6301,type,
    sK5248: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * set(X0) * X0 ) > X0 ) ).

tff(func_def_6302,type,
    sK5249: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * set(X0) * X0 ) > X0 ) ).

tff(func_def_6303,type,
    sK5250: 
      !>[X0: $tType] : set(X0) ).

tff(func_def_6304,type,
    sK5251: 
      !>[X0: $tType] : ( ( fun(set(X0),X0) * fun(X0,fun(X0,$o)) * fun(X0,$o) ) > set(X0) ) ).

tff(func_def_6305,type,
    sK5252: 
      !>[X0: $tType] : ( ( fun(X0,$o) * set(X0) ) > X0 ) ).

tff(func_def_6306,type,
    sK5253: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,$o)) * fun(X0,$o) * fun(set(X0),X0) ) > set(X0) ) ).

tff(func_def_6307,type,
    sK5254: 
      !>[X0: $tType] : ( ( fun(X0,$o) * set(X0) ) > X0 ) ).

tff(func_def_6308,type,
    sK5255: 
      !>[X0: $tType] : ( ( fun(X0,$o) * fun(X0,X0) ) > X0 ) ).

tff(func_def_6309,type,
    sK5256: 
      !>[X0: $tType] : ( ( set(X0) * set(X0) ) > set(X0) ) ).

tff(func_def_6310,type,
    sK5257: 
      !>[X0: $tType] : ( set(X0) > set(X0) ) ).

tff(func_def_6311,type,
    sK5258: 
      !>[X0: $tType] : ( ( set(X0) * fun(X0,$o) ) > real ) ).

tff(func_def_6312,type,
    sK5259: 
      !>[X0: $tType] : ( ( set(X0) * fun(X0,$o) ) > X0 ) ).

tff(func_def_6313,type,
    sK5260: 
      !>[X0: $tType] : ( ( set(X0) * fun(X0,$o) ) > X0 ) ).

tff(func_def_6314,type,
    sK5261: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_6315,type,
    sK5262: 
      !>[X0: $tType] : ( ( set(X0) * fun(X0,real) ) > X0 ) ).

tff(func_def_6316,type,
    sK5263: 
      !>[X0: $tType] : ( ( X0 * set(X0) * X0 ) > real ) ).

tff(func_def_6317,type,
    sK5264: 
      !>[X0: $tType] : ( ( set(X0) * set(X0) ) > set(X0) ) ).

tff(func_def_6318,type,
    sK5265: 
      !>[X0: $tType] : ( ( set(X0) * fun(X0,real) ) > X0 ) ).

tff(func_def_6319,type,
    sK5266: 
      !>[X0: $tType] : ( set(X0) > set(X0) ) ).

tff(func_def_6320,type,
    sK5267: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * set(X0) ) > X0 ) ).

tff(func_def_6321,type,
    sK5268: 
      !>[X0: $tType] : ( ( set(set(X0)) * set(set(X0)) ) > set(set(X0)) ) ).

tff(func_def_6322,type,
    sK5269: 
      !>[X0: $tType] : ( set(set(X0)) > set(set(X0)) ) ).

tff(func_def_6323,type,
    sK5270: 
      !>[X0: $tType,X1: $tType] : ( fun(X1,X0) > X1 ) ).

tff(func_def_6324,type,
    sK5271: ( fun(nat,rat) * rat * nat ) > nat ).

tff(func_def_6325,type,
    sK5272: fun(nat,rat) > rat ).

tff(func_def_6326,type,
    sK5273: fun(nat,rat) > nat ).

tff(func_def_6327,type,
    sK5274: 
      !>[X0: $tType] : ( product_prod(X0,X0) > X0 ) ).

tff(func_def_6328,type,
    sK5275: 
      !>[X0: $tType] : ( product_prod(X0,X0) > X0 ) ).

tff(func_def_6329,type,
    sK5276: real > int ).

tff(func_def_6330,type,
    sK5277: real > nat ).

tff(func_def_6331,type,
    sK5278: 
      !>[X0: $tType] : ( product_prod(X0,X0) > X0 ) ).

tff(func_def_6332,type,
    sK5279: 
      !>[X0: $tType] : ( product_prod(X0,X0) > X0 ) ).

tff(func_def_6333,type,
    sK5280: 
      !>[X0: $tType] : ( product_prod(X0,X0) > X0 ) ).

tff(func_def_6334,type,
    sK5281: 
      !>[X0: $tType] : ( product_prod(X0,X0) > X0 ) ).

tff(func_def_6335,type,
    sK5282: 
      !>[X0: $tType] : ( product_prod(X0,X0) > X0 ) ).

tff(func_def_6336,type,
    sK5283: 
      !>[X0: $tType] : ( product_prod(X0,X0) > X0 ) ).

tff(func_def_6337,type,
    sK5284: 
      !>[X0: $tType] : ( product_prod(X0,X0) > X0 ) ).

tff(func_def_6338,type,
    sK5285: 
      !>[X0: $tType] : ( product_prod(X0,X0) > X0 ) ).

tff(func_def_6339,type,
    sK5286: 
      !>[X0: $tType] : ( product_prod(X0,X0) > X0 ) ).

tff(func_def_6340,type,
    sK5287: 
      !>[X0: $tType] : ( product_prod(X0,X0) > X0 ) ).

tff(func_def_6341,type,
    sK5288: 
      !>[X0: $tType] : ( ( set(set(X0)) * set(X0) ) > set(X0) ) ).

tff(func_def_6342,type,
    sK5289: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * set(product_prod(X0,X0)) ) > X0 ) ).

tff(func_def_6343,type,
    sK5290: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * set(product_prod(X0,X0)) ) > X0 ) ).

tff(func_def_6344,type,
    sK5291: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * set(product_prod(X0,X0)) ) > X0 ) ).

tff(func_def_6345,type,
    sK5292: 
      !>[X0: $tType] : ( ( fun(set(X0),$o) * set(X0) ) > set(X0) ) ).

tff(func_def_6346,type,
    sK5293: 
      !>[X0: $tType] : ( ( fun(set(X0),$o) * set(X0) ) > X0 ) ).

tff(func_def_6347,type,
    sK5294: 
      !>[X0: $tType] : ( ( fun(X0,$o) * X0 ) > X0 ) ).

tff(func_def_6348,type,
    sK5295: 
      !>[X0: $tType] : ( ( fun(X0,$o) * X0 ) > X0 ) ).

tff(func_def_6349,type,
    sK5296: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > fun(X0,real) ) ).

tff(func_def_6350,type,
    sK5297: 
      !>[X0: $tType] : ( ( set(X0) * fun(X0,real) ) > X0 ) ).

tff(func_def_6351,type,
    sK5298: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > fun(X0,real) ) ).

tff(func_def_6352,type,
    sK5299: 
      !>[X0: $tType] : ( ( list(X0) * X0 ) > nat ) ).

tff(func_def_6353,type,
    sK5300: 
      !>[X0: $tType] : ( ( set(set(X0)) * fun(set(X0),X0) ) > set(X0) ) ).

tff(func_def_6354,type,
    sK5301: 
      !>[X0: $tType] : ( ( set(set(X0)) * set(X0) ) > fun(set(X0),X0) ) ).

tff(func_def_6355,type,
    sK5302: 
      !>[X0: $tType] : ( ( set(set(X0)) * fun(set(X0),X0) ) > set(X0) ) ).

tff(func_def_6356,type,
    sK5303: 
      !>[X0: $tType] : ( ( set(set(X0)) * set(X0) ) > fun(set(X0),X0) ) ).

tff(func_def_6357,type,
    sK5304: 
      !>[X0: $tType] : ( ( set(X0) * set(X0) ) > set(X0) ) ).

tff(func_def_6358,type,
    sK5305: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_6359,type,
    sK5306: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_6360,type,
    sK5307: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_6361,type,
    sK5308: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_6362,type,
    sK5309: 
      !>[X0: $tType] : ( ( fun(X0,$o) * X0 ) > X0 ) ).

tff(func_def_6363,type,
    sK5310: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * set(X0) ) > X0 ) ).

tff(func_def_6364,type,
    sK5311: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * set(X0) ) > X0 ) ).

tff(func_def_6365,type,
    sK5312: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,option(X1)) * X1 ) > X0 ) ).

tff(func_def_6366,type,
    sK5313: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * X0 ) > X1 ) ).

tff(func_def_6367,type,
    sK5314: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > set(X0) ) ).

tff(func_def_6368,type,
    sK5315: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > fun(X0,real) ) ).

tff(func_def_6369,type,
    sK5316: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,option(X1)) * product_prod(X0,X1) ) > X0 ) ).

tff(func_def_6370,type,
    sK5317: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,option(X1)) * product_prod(X0,X1) ) > X1 ) ).

tff(func_def_6371,type,
    sK5318: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * set(X0) * set(X0) ) > X0 ) ).

tff(func_def_6372,type,
    sK5319: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * product_prod(set(X0),set(X0)) ) > set(X0) ) ).

tff(func_def_6373,type,
    sK5320: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * product_prod(set(X0),set(X0)) ) > set(X0) ) ).

tff(func_def_6374,type,
    sK5321: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * product_prod(set(X0),set(X0)) * X0 ) > X0 ) ).

tff(func_def_6375,type,
    sK5322: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * list(X0) * list(X0) ) > list(X0) ) ).

tff(func_def_6376,type,
    sK5323: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * list(X0) * list(X0) ) > X0 ) ).

tff(func_def_6377,type,
    sK5324: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * list(X0) * list(X0) ) > X0 ) ).

tff(func_def_6378,type,
    sK5325: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * list(X0) * list(X0) ) > list(X0) ) ).

tff(func_def_6379,type,
    sK5326: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * list(X0) * list(X0) ) > list(X0) ) ).

tff(func_def_6380,type,
    sK5327: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * set(X0) * X0 ) > X0 ) ).

tff(func_def_6381,type,
    sK5328: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * set(X0) * X0 ) > X0 ) ).

tff(func_def_6382,type,
    sK5329: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * set(X0) * X0 ) > X0 ) ).

tff(func_def_6383,type,
    sK5330: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,$o)) * fun(X0,$o) * X0 ) > X0 ) ).

tff(func_def_6384,type,
    sK5331: 
      !>[X0: $tType] : ( ( fun(X0,$o) * set(X0) ) > X0 ) ).

tff(func_def_6385,type,
    sK5332: 
      !>[X0: $tType] : ( ( X0 * fun(X0,X0) * fun(X0,$o) ) > X0 ) ).

tff(func_def_6386,type,
    sK5333: 
      !>[X0: $tType] : ( ( X0 * fun(X0,$o) ) > set(X0) ) ).

tff(func_def_6387,type,
    sK5334: 
      !>[X0: $tType] : ( ( set(X0) * fun(X0,real) ) > X0 ) ).

tff(func_def_6388,type,
    sK5335: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) ) > X0 ) ).

tff(func_def_6389,type,
    sK5336: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) ) > list(X0) ) ).

tff(func_def_6390,type,
    sK5337: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) ) > X0 ) ).

tff(func_def_6391,type,
    sK5338: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) ) > X0 ) ).

tff(func_def_6392,type,
    sK5339: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) ) > list(X0) ) ).

tff(func_def_6393,type,
    sK5340: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) ) > list(X0) ) ).

tff(func_def_6394,type,
    sK5341: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) * fun(list(X0),fun(list(X0),$o)) ) > X0 ) ).

tff(func_def_6395,type,
    sK5342: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) * fun(list(X0),fun(list(X0),$o)) ) > X0 ) ).

tff(func_def_6396,type,
    sK5343: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) * fun(list(X0),fun(list(X0),$o)) ) > list(X0) ) ).

tff(func_def_6397,type,
    sK5344: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) * fun(list(X0),fun(list(X0),$o)) ) > list(X0) ) ).

tff(func_def_6398,type,
    sK5345: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * set(X0) * set(X0) ) > X0 ) ).

tff(func_def_6399,type,
    sK5346: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * set(X0) * X0 ) > X0 ) ).

tff(func_def_6400,type,
    sK5347: 
      !>[X0: $tType,X1: $tType] : ( ( list(X0) * list(X1) * product_prod(X0,X1) ) > nat ) ).

tff(func_def_6401,type,
    sK5348: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,X0) * product_prod(X1,X0) ) > X1 ) ).

tff(func_def_6402,type,
    sK5349: 
      !>[X0: $tType] : ( ( list(X0) * set(nat) * X0 ) > nat ) ).

tff(func_def_6403,type,
    sK5350: 
      !>[X0: $tType] : ( ( set(X0) * X0 * X0 ) > X0 ) ).

tff(func_def_6404,type,
    sK5351: 
      !>[X0: $tType] : ( ( set(X0) * X0 * X0 ) > X0 ) ).

tff(func_def_6405,type,
    sK5352: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * set(X1) * X0 ) > X1 ) ).

tff(func_def_6406,type,
    sK5353: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * fun(X1,$o) * X0 ) > X1 ) ).

tff(func_def_6407,type,
    sK5354: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,$o) * fun(X1,X0) * X0 ) > X1 ) ).

tff(func_def_6408,type,
    sK5355: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X0,fun(X1,$o)) * X0 ) > X1 ) ).

tff(func_def_6409,type,
    sK5356: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X0,fun(X1,$o)) * X0 ) > X1 ) ).

tff(func_def_6410,type,
    sK5357: 
      !>[X0: $tType,X1: $tType] : ( ( set(product_prod(X1,X0)) * set(X1) * X0 ) > X1 ) ).

tff(func_def_6411,type,
    sK5358: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * set(X1) * X1 ) > X1 ) ).

tff(func_def_6412,type,
    sK5359: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,option(X1)) * set(X0) * X1 ) > X0 ) ).

tff(func_def_6413,type,
    sK5360: 
      !>[X0: $tType] : ( ( fun(nat,X0) * fun(nat,real) * nat ) > nat ) ).

tff(func_def_6414,type,
    sK5361: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * set(X1) * X0 ) > X1 ) ).

tff(func_def_6415,type,
    sK5362: 
      !>[X0: $tType] : ( ( fun(nat,X0) * fun(nat,real) * nat ) > nat ) ).

tff(func_def_6416,type,
    sK5363: 
      !>[X0: $tType] : ( ( fun(nat,X0) * fun(nat,real) * nat ) > nat ) ).

tff(func_def_6417,type,
    sK5364: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,$o) * fun(X0,fun(X1,$o)) * X0 ) > X1 ) ).

tff(func_def_6418,type,
    sK5365: 
      !>[X0: $tType] : ( ( fun(X0,X0) * X0 * X0 ) > nat ) ).

tff(func_def_6419,type,
    sK5366: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * list(X0) * list(X0) ) > X0 ) ).

tff(func_def_6420,type,
    sK5367: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * list(X0) * list(X0) ) > list(X0) ) ).

tff(func_def_6421,type,
    sK5368: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * list(X0) * list(X0) ) > list(X0) ) ).

tff(func_def_6422,type,
    sK5369: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * list(X0) * list(X0) ) > X0 ) ).

tff(func_def_6423,type,
    sK5370: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * list(X0) * list(X0) ) > X0 ) ).

tff(func_def_6424,type,
    sK5371: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * list(X0) * list(X0) ) > list(X0) ) ).

tff(func_def_6425,type,
    sK5372: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * list(X0) * list(X0) ) > list(X0) ) ).

tff(func_def_6426,type,
    sK5373: 
      !>[X0: $tType] : ( ( set(X0) * set(X0) * X0 ) > X0 ) ).

tff(func_def_6427,type,
    sK5374: 
      !>[X0: $tType] : ( ( set(X0) * set(X0) * X0 ) > X0 ) ).

tff(func_def_6428,type,
    sK5375: 
      !>[X0: $tType] : ( ( set(X0) * set(X0) * X0 ) > X0 ) ).

tff(func_def_6429,type,
    sK5376: 
      !>[X0: $tType] : ( ( set(X0) * set(X0) * X0 ) > X0 ) ).

tff(func_def_6430,type,
    sK5377: 
      !>[X0: $tType] : ( ( set(X0) * set(list(X0)) * list(X0) ) > X0 ) ).

tff(func_def_6431,type,
    sK5378: 
      !>[X0: $tType] : ( ( set(X0) * set(list(X0)) * list(X0) ) > list(X0) ) ).

tff(func_def_6432,type,
    sK5379: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * list(X0) * list(X0) ) > list(X0) ) ).

tff(func_def_6433,type,
    sK5380: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * list(X0) * list(X0) ) > X0 ) ).

tff(func_def_6434,type,
    sK5381: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * list(X0) * list(X0) ) > X0 ) ).

tff(func_def_6435,type,
    sK5382: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * list(X0) * list(X0) ) > list(X0) ) ).

tff(func_def_6436,type,
    sK5383: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * list(X0) * list(X0) ) > list(X0) ) ).

tff(func_def_6437,type,
    sK5384: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * list(X0) * list(X0) ) > X0 ) ).

tff(func_def_6438,type,
    sK5385: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * list(X0) * list(X0) ) > X0 ) ).

tff(func_def_6439,type,
    sK5386: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * list(X0) * list(X0) ) > list(X0) ) ).

tff(func_def_6440,type,
    sK5387: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * list(X0) * list(X0) ) > list(X0) ) ).

tff(func_def_6441,type,
    sK5388: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) ) > X0 ) ).

tff(func_def_6442,type,
    sK5389: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) ) > list(X0) ) ).

tff(func_def_6443,type,
    sK5390: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) * fun(X0,fun(X0,$o)) ) > X0 ) ).

tff(func_def_6444,type,
    sK5391: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) * fun(X0,fun(X0,$o)) ) > X0 ) ).

tff(func_def_6445,type,
    sK5392: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) * fun(X0,fun(X0,$o)) ) > list(X0) ) ).

tff(func_def_6446,type,
    sK5393: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) * fun(X0,fun(X0,$o)) ) > list(X0) ) ).

tff(func_def_6447,type,
    sK5394: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) * fun(X0,fun(X0,$o)) * fun(list(X0),fun(list(X0),$o)) ) > X0 ) ).

tff(func_def_6448,type,
    sK5395: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) * fun(X0,fun(X0,$o)) * fun(list(X0),fun(list(X0),$o)) ) > X0 ) ).

tff(func_def_6449,type,
    sK5396: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) * fun(X0,fun(X0,$o)) * fun(list(X0),fun(list(X0),$o)) ) > list(X0) ) ).

tff(func_def_6450,type,
    sK5397: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) * fun(X0,fun(X0,$o)) * fun(list(X0),fun(list(X0),$o)) ) > list(X0) ) ).

tff(func_def_6451,type,
    sK5398: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * set(X1) * X1 * fun(X0,X1) ) > X0 ) ).

tff(func_def_6452,type,
    sK5399: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( set(product_prod(X0,X2)) * set(product_prod(X2,X1)) * X0 * X1 ) > X2 ) ).

tff(func_def_6453,type,
    sK5400: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( set(X2) * fun(X2,X1) * fun(X2,X0) * product_prod(X1,X0) ) > X2 ) ).

tff(func_def_6454,type,
    sK5401: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( fun(X0,$o) * fun(X2,$o) * fun(X0,fun(X2,X1)) * X1 ) > X0 ) ).

tff(func_def_6455,type,
    sK5402: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( fun(X0,$o) * fun(X2,$o) * fun(X0,fun(X2,X1)) * X1 ) > X2 ) ).

tff(func_def_6456,type,
    sK5403: ( list(vEBT_VEBT) * vEBT_VEBT * nat ) > nat ).

tff(func_def_6457,type,
    sK5404: ( list(vEBT_VEBT) * vEBT_VEBT * nat ) > nat ).

tff(func_def_6458,type,
    sK5405: ( list(vEBT_VEBT) * nat ) > nat ).

tff(func_def_6459,type,
    sK5406: 
      !>[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,
    plus: 
      !>[X0: $tType] : $o ).

tff(pred_def_7,type,
    zero: 
      !>[X0: $tType] : $o ).

tff(pred_def_8,type,
    numeral: 
      !>[X0: $tType] : $o ).

tff(pred_def_9,type,
    power: 
      !>[X0: $tType] : $o ).

tff(pred_def_10,type,
    field: 
      !>[X0: $tType] : $o ).

tff(pred_def_11,type,
    abs_if: 
      !>[X0: $tType] : $o ).

tff(pred_def_12,type,
    ring_1: 
      !>[X0: $tType] : $o ).

tff(pred_def_13,type,
    uminus: 
      !>[X0: $tType] : $o ).

tff(pred_def_14,type,
    bot: 
      !>[X0: $tType] : $o ).

tff(pred_def_15,type,
    ord: 
      !>[X0: $tType] : $o ).

tff(pred_def_16,type,
    top: 
      !>[X0: $tType] : $o ).

tff(pred_def_17,type,
    semidom: 
      !>[X0: $tType] : $o ).

tff(pred_def_18,type,
    inverse: 
      !>[X0: $tType] : $o ).

tff(pred_def_19,type,
    ring_char_0: 
      !>[X0: $tType] : $o ).

tff(pred_def_20,type,
    neg_numeral: 
      !>[X0: $tType] : $o ).

tff(pred_def_21,type,
    order: 
      !>[X0: $tType] : $o ).

tff(pred_def_22,type,
    comm_ring: 
      !>[X0: $tType] : $o ).

tff(pred_def_23,type,
    mult_zero: 
      !>[X0: $tType] : $o ).

tff(pred_def_24,type,
    semiring_Gcd: 
      !>[X0: $tType] : $o ).

tff(pred_def_25,type,
    semiring_gcd: 
      !>[X0: $tType] : $o ).

tff(pred_def_26,type,
    group_add: 
      !>[X0: $tType] : $o ).

tff(pred_def_27,type,
    lattice: 
      !>[X0: $tType] : $o ).

tff(pred_def_28,type,
    no_bot: 
      !>[X0: $tType] : $o ).

tff(pred_def_29,type,
    no_top: 
      !>[X0: $tType] : $o ).

tff(pred_def_30,type,
    semiring_0: 
      !>[X0: $tType] : $o ).

tff(pred_def_31,type,
    semiring_1: 
      !>[X0: $tType] : $o ).

tff(pred_def_32,type,
    finite_finite: 
      !>[X0: $tType] : $o ).

tff(pred_def_33,type,
    monoid_add: 
      !>[X0: $tType] : $o ).

tff(pred_def_34,type,
    comm_ring_1: 
      !>[X0: $tType] : $o ).

tff(pred_def_35,type,
    ln: 
      !>[X0: $tType] : $o ).

tff(pred_def_36,type,
    monoid_mult: 
      !>[X0: $tType] : $o ).

tff(pred_def_37,type,
    linorder: 
      !>[X0: $tType] : $o ).

tff(pred_def_38,type,
    preorder: 
      !>[X0: $tType] : $o ).

tff(pred_def_39,type,
    idom_abs_sgn: 
      !>[X0: $tType] : $o ).

tff(pred_def_40,type,
    ordered_ring: 
      !>[X0: $tType] : $o ).

tff(pred_def_41,type,
    zero_neq_one: 
      !>[X0: $tType] : $o ).

tff(pred_def_42,type,
    countable: 
      !>[X0: $tType] : $o ).

tff(pred_def_43,type,
    finite_lattice: 
      !>[X0: $tType] : $o ).

tff(pred_def_44,type,
    field_char_0: 
      !>[X0: $tType] : $o ).

tff(pred_def_45,type,
    ab_group_add: 
      !>[X0: $tType] : $o ).

tff(pred_def_46,type,
    semiring_char_0: 
      !>[X0: $tType] : $o ).

tff(pred_def_47,type,
    order_bot: 
      !>[X0: $tType] : $o ).

tff(pred_def_48,type,
    order_top: 
      !>[X0: $tType] : $o ).

tff(pred_def_49,type,
    wellorder: 
      !>[X0: $tType] : $o ).

tff(pred_def_50,type,
    zero_less_one: 
      !>[X0: $tType] : $o ).

tff(pred_def_51,type,
    division_ring: 
      !>[X0: $tType] : $o ).

tff(pred_def_52,type,
    semigroup_add: 
      !>[X0: $tType] : $o ).

tff(pred_def_53,type,
    semiring_numeral: 
      !>[X0: $tType] : $o ).

tff(pred_def_54,type,
    semidom_divide: 
      !>[X0: $tType] : $o ).

tff(pred_def_55,type,
    semidom_modulo: 
      !>[X0: $tType] : $o ).

tff(pred_def_56,type,
    semigroup_mult: 
      !>[X0: $tType] : $o ).

tff(pred_def_57,type,
    dense_order: 
      !>[X0: $tType] : $o ).

tff(pred_def_58,type,
    comm_semiring_0: 
      !>[X0: $tType] : $o ).

tff(pred_def_59,type,
    comm_semiring_1: 
      !>[X0: $tType] : $o ).

tff(pred_def_60,type,
    linordered_idom: 
      !>[X0: $tType] : $o ).

tff(pred_def_61,type,
    linordered_ring: 
      !>[X0: $tType] : $o ).

tff(pred_def_62,type,
    semiring_modulo: 
      !>[X0: $tType] : $o ).

tff(pred_def_63,type,
    comm_monoid_add: 
      !>[X0: $tType] : $o ).

tff(pred_def_64,type,
    semiring_parity: 
      !>[X0: $tType] : $o ).

tff(pred_def_65,type,
    ordered_ring_abs: 
      !>[X0: $tType] : $o ).

tff(pred_def_66,type,
    ordered_semiring: 
      !>[X0: $tType] : $o ).

tff(pred_def_67,type,
    linordered_field: 
      !>[X0: $tType] : $o ).

tff(pred_def_68,type,
    ab_semigroup_add: 
      !>[X0: $tType] : $o ).

tff(pred_def_69,type,
    comm_monoid_diff: 
      !>[X0: $tType] : $o ).

tff(pred_def_70,type,
    comm_monoid_mult: 
      !>[X0: $tType] : $o ).

tff(pred_def_71,type,
    algebraic_semidom: 
      !>[X0: $tType] : $o ).

tff(pred_def_72,type,
    semiring_1_cancel: 
      !>[X0: $tType] : $o ).

tff(pred_def_73,type,
    ab_semigroup_mult: 
      !>[X0: $tType] : $o ).

tff(pred_def_74,type,
    bounded_lattice: 
      !>[X0: $tType] : $o ).

tff(pred_def_75,type,
    distrib_lattice: 
      !>[X0: $tType] : $o ).

tff(pred_def_76,type,
    semilattice_inf: 
      !>[X0: $tType] : $o ).

tff(pred_def_77,type,
    semilattice_sup: 
      !>[X0: $tType] : $o ).

tff(pred_def_78,type,
    dense_linorder: 
      !>[X0: $tType] : $o ).

tff(pred_def_79,type,
    linordered_semidom: 
      !>[X0: $tType] : $o ).

tff(pred_def_80,type,
    ordered_semiring_0: 
      !>[X0: $tType] : $o ).

tff(pred_def_81,type,
    real_Vector_banach: 
      !>[X0: $tType] : $o ).

tff(pred_def_82,type,
    linordered_semiring: 
      !>[X0: $tType] : $o ).

tff(pred_def_83,type,
    comple9053668089753744459l_ccpo: 
      !>[X0: $tType] : $o ).

tff(pred_def_84,type,
    finite8700451911770168679attice: 
      !>[X0: $tType] : $o ).

tff(pred_def_85,type,
    cancel_semigroup_add: 
      !>[X0: $tType] : $o ).

tff(pred_def_86,type,
    ordered_ab_group_add: 
      !>[X0: $tType] : $o ).

tff(pred_def_87,type,
    linord6961819062388156250ring_1: 
      !>[X0: $tType] : $o ).

tff(pred_def_88,type,
    ordere2520102378445227354miring: 
      !>[X0: $tType] : $o ).

tff(pred_def_89,type,
    topological_t1_space: 
      !>[X0: $tType] : $o ).

tff(pred_def_90,type,
    topological_t2_space: 
      !>[X0: $tType] : $o ).

tff(pred_def_91,type,
    topological_t3_space: 
      !>[X0: $tType] : $o ).

tff(pred_def_92,type,
    topological_t4_space: 
      !>[X0: $tType] : $o ).

tff(pred_def_93,type,
    bit_semiring_bits: 
      !>[X0: $tType] : $o ).

tff(pred_def_94,type,
    bounded_lattice_bot: 
      !>[X0: $tType] : $o ).

tff(pred_def_95,type,
    linord4710134922213307826strict: 
      !>[X0: $tType] : $o ).

tff(pred_def_96,type,
    cancel1802427076303600483id_add: 
      !>[X0: $tType] : $o ).

tff(pred_def_97,type,
    topolo6943815403480290642id_add: 
      !>[X0: $tType] : $o ).

tff(pred_def_98,type,
    real_V7773925162809079976_field: 
      !>[X0: $tType] : $o ).

tff(pred_def_99,type,
    ring_15535105094025558882visors: 
      !>[X0: $tType] : $o ).

tff(pred_def_100,type,
    cancel2418104881723323429up_add: 
      !>[X0: $tType] : $o ).

tff(pred_def_101,type,
    linord5086331880401160121up_add: 
      !>[X0: $tType] : $o ).

tff(pred_def_102,type,
    ordere6911136660526730532id_add: 
      !>[X0: $tType] : $o ).

tff(pred_def_103,type,
    real_V4867850818363320053vector: 
      !>[X0: $tType] : $o ).

tff(pred_def_104,type,
    archim2362893244070406136eiling: 
      !>[X0: $tType] : $o ).

tff(pred_def_105,type,
    ordere166539214618696060dd_abs: 
      !>[X0: $tType] : $o ).

tff(pred_def_106,type,
    ordere6658533253407199908up_add: 
      !>[X0: $tType] : $o ).

tff(pred_def_107,type,
    topolo1287966508704411220up_add: 
      !>[X0: $tType] : $o ).

tff(pred_def_108,type,
    real_V7819770556892013058_space: 
      !>[X0: $tType] : $o ).

tff(pred_def_109,type,
    semiri3467727345109120633visors: 
      !>[X0: $tType] : $o ).

tff(pred_def_110,type,
    boolea8198339166811842893lgebra: 
      !>[X0: $tType] : $o ).

tff(pred_def_111,type,
    linord8928482502909563296strict: 
      !>[X0: $tType] : $o ).

tff(pred_def_112,type,
    topolo8386298272705272623_space: 
      !>[X0: $tType] : $o ).

tff(pred_def_113,type,
    topolo7287701948861334536_space: 
      !>[X0: $tType] : $o ).

tff(pred_def_114,type,
    topolo4211221413907600880p_mult: 
      !>[X0: $tType] : $o ).

tff(pred_def_115,type,
    real_V8037385150606011577_space: 
      !>[X0: $tType] : $o ).

tff(pred_def_116,type,
    real_V2191834092415804123ebra_1: 
      !>[X0: $tType] : $o ).

tff(pred_def_117,type,
    linord181362715937106298miring: 
      !>[X0: $tType] : $o ).

tff(pred_def_118,type,
    semiri2026040879449505780visors: 
      !>[X0: $tType] : $o ).

tff(pred_def_119,type,
    topolo2564578578187576103pology: 
      !>[X0: $tType] : $o ).

tff(pred_def_120,type,
    bit_ri3973907225187159222ations: 
      !>[X0: $tType] : $o ).

tff(pred_def_121,type,
    comple6319245703460814977attice: 
      !>[X0: $tType] : $o ).

tff(pred_def_122,type,
    linord4140545234300271783up_add: 
      !>[X0: $tType] : $o ).

tff(pred_def_123,type,
    topolo5987344860129210374id_add: 
      !>[X0: $tType] : $o ).

tff(pred_def_124,type,
    unboun7993243217541854897norder: 
      !>[X0: $tType] : $o ).

tff(pred_def_125,type,
    real_V768167426530841204y_dist: 
      !>[X0: $tType] : $o ).

tff(pred_def_126,type,
    linord715952674999750819strict: 
      !>[X0: $tType] : $o ).

tff(pred_def_127,type,
    archim462609752435547400_field: 
      !>[X0: $tType] : $o ).

tff(pred_def_128,type,
    comple5582772986160207858norder: 
      !>[X0: $tType] : $o ).

tff(pred_def_129,type,
    real_V5047593784448816457lgebra: 
      !>[X0: $tType] : $o ).

tff(pred_def_130,type,
    bounde4346867609351753570nf_top: 
      !>[X0: $tType] : $o ).

tff(pred_def_131,type,
    bounde4967611905675639751up_bot: 
      !>[X0: $tType] : $o ).

tff(pred_def_132,type,
    real_V3459762299906320749_field: 
      !>[X0: $tType] : $o ).

tff(pred_def_133,type,
    topolo8865339358273720382pology: 
      !>[X0: $tType] : $o ).

tff(pred_def_134,type,
    topolo1944317154257567458pology: 
      !>[X0: $tType] : $o ).

tff(pred_def_135,type,
    topolo4958980785337419405_space: 
      !>[X0: $tType] : $o ).

tff(pred_def_136,type,
    euclid3725896446679973847miring: 
      !>[X0: $tType] : $o ).

tff(pred_def_137,type,
    canoni5634975068530333245id_add: 
      !>[X0: $tType] : $o ).

tff(pred_def_138,type,
    ordere8940638589300402666id_add: 
      !>[X0: $tType] : $o ).

tff(pred_def_139,type,
    strict7427464778891057005id_add: 
      !>[X0: $tType] : $o ).

tff(pred_def_140,type,
    real_V822414075346904944vector: 
      !>[X0: $tType] : $o ).

tff(pred_def_141,type,
    linord2810124833399127020strict: 
      !>[X0: $tType] : $o ).

tff(pred_def_142,type,
    bit_se359711467146920520ations: 
      !>[X0: $tType] : $o ).

tff(pred_def_143,type,
    ordere2412721322843649153imp_le: 
      !>[X0: $tType] : $o ).

tff(pred_def_144,type,
    ordere580206878836729694up_add: 
      !>[X0: $tType] : $o ).

tff(pred_def_145,type,
    ordere1170586879665033532d_diff: 
      !>[X0: $tType] : $o ).

tff(pred_def_146,type,
    strict9044650504122735259up_add: 
      !>[X0: $tType] : $o ).

tff(pred_def_147,type,
    real_V5355595471888546746vector: 
      !>[X0: $tType] : $o ).

tff(pred_def_148,type,
    real_V4412858255891104859lgebra: 
      !>[X0: $tType] : $o ).

tff(pred_def_149,type,
    semiri6575147826004484403cancel: 
      !>[X0: $tType] : $o ).

tff(pred_def_150,type,
    euclid8851590272496341667cancel: 
      !>[X0: $tType] : $o ).

tff(pred_def_151,type,
    real_V2822296259951069270ebra_1: 
      !>[X0: $tType] : $o ).

tff(pred_def_152,type,
    unique1627219031080169319umeral: 
      !>[X0: $tType] : $o ).

tff(pred_def_153,type,
    comple592849572758109894attice: 
      !>[X0: $tType] : $o ).

tff(pred_def_154,type,
    real_V8999393235501362500lgebra: 
      !>[X0: $tType] : $o ).

tff(pred_def_155,type,
    topolo3112930676232923870pology: 
      !>[X0: $tType] : $o ).

tff(pred_def_156,type,
    euclid4440199948858584721cancel: 
      !>[X0: $tType] : $o ).

tff(pred_def_157,type,
    topolo8458572112393995274pology: 
      !>[X0: $tType] : $o ).

tff(pred_def_158,type,
    ordere1937475149494474687imp_le: 
      !>[X0: $tType] : $o ).

tff(pred_def_159,type,
    condit5016429287641298734tinuum: 
      !>[X0: $tType] : $o ).

tff(pred_def_160,type,
    euclid5411537665997757685th_nat: 
      !>[X0: $tType] : $o ).

tff(pred_def_161,type,
    counta3822494911875563373attice: 
      !>[X0: $tType] : $o ).

tff(pred_def_162,type,
    semiri1453513574482234551roduct: 
      !>[X0: $tType] : $o ).

tff(pred_def_163,type,
    bit_un5681908812861735899ations: 
      !>[X0: $tType] : $o ).

tff(pred_def_164,type,
    condit1219197933456340205attice: 
      !>[X0: $tType] : $o ).

tff(pred_def_165,type,
    counta4013691401010221786attice: 
      !>[X0: $tType] : $o ).

tff(pred_def_166,type,
    condit6923001295902523014norder: 
      !>[X0: $tType] : $o ).

tff(pred_def_167,type,
    bNF_Ca7293521722713021262ofinal: 
      !>[X0: $tType] : ( ( set(X0) * set(product_prod(X0,X0)) ) > $o ) ).

tff(pred_def_168,type,
    bNF_Ca3754400796208372196lChain: 
      !>[X0: $tType,X1: $tType] : ( ( set(product_prod(X0,X0)) * fun(X0,X1) ) > $o ) ).

tff(pred_def_169,type,
    bNF_Wellorder_wo_rel: 
      !>[X0: $tType] : ( set(product_prod(X0,X0)) > $o ) ).

tff(pred_def_170,type,
    bNF_We4791949203932849705sMinim: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * set(X0) * X0 ) > $o ) ).

tff(pred_def_171,type,
    bit_se6407376104438227557le_bit: 
      !>[X0: $tType] : ( ( itself(X0) * nat ) > $o ) ).

tff(pred_def_172,type,
    boolea2506097494486148201lgebra: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,X0)) * fun(X0,fun(X0,X0)) * fun(X0,X0) * X0 * X0 ) > $o ) ).

tff(pred_def_173,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_174,type,
    comple1908693960933563346ssible: 
      !>[X0: $tType] : ( ( fun(set(X0),X0) * fun(X0,fun(X0,$o)) * fun(X0,$o) ) > $o ) ).

tff(pred_def_175,type,
    comple1602240252501008431_chain: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,$o)) * set(X0) ) > $o ) ).

tff(pred_def_176,type,
    condit941137186595557371_above: 
      !>[X0: $tType] : ( set(X0) > $o ) ).

tff(pred_def_177,type,
    condit1013018076250108175_below: 
      !>[X0: $tType] : ( set(X0) > $o ) ).

tff(pred_def_178,type,
    countable_countable: 
      !>[X0: $tType] : ( set(X0) > $o ) ).

tff(pred_def_179,type,
    differentiable: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * filter(X0) ) > $o ) ).

tff(pred_def_180,type,
    has_derivative: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * fun(X0,X1) * filter(X0) ) > $o ) ).

tff(pred_def_181,type,
    has_field_derivative: 
      !>[X0: $tType] : ( ( fun(X0,X0) * X0 * filter(X0) ) > $o ) ).

tff(pred_def_182,type,
    eucl_rel_int: ( int * int * product_prod(int,int) ) > $o ).

tff(pred_def_183,type,
    unique5940410009612947441es_aux: 
      !>[X0: $tType] : ( product_prod(X0,X0) > $o ) ).

tff(pred_def_184,type,
    equiv_congruent: 
      !>[X0: $tType,X1: $tType] : ( ( set(product_prod(X0,X0)) * fun(X0,X1) ) > $o ) ).

tff(pred_def_185,type,
    equiv_congruent2: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( set(product_prod(X0,X0)) * set(product_prod(X1,X1)) * fun(X0,fun(X1,X2)) ) > $o ) ).

tff(pred_def_186,type,
    equiv_equiv: 
      !>[X0: $tType] : ( ( set(X0) * set(product_prod(X0,X0)) ) > $o ) ).

tff(pred_def_187,type,
    eventually: 
      !>[X0: $tType] : ( ( fun(X0,$o) * filter(X0) ) > $o ) ).

tff(pred_def_188,type,
    filterlim: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * filter(X1) * filter(X0) ) > $o ) ).

tff(pred_def_189,type,
    finite6289374366891150609ommute: 
      !>[X0: $tType,X1: $tType] : ( fun(X0,fun(X1,X1)) > $o ) ).

tff(pred_def_190,type,
    finite4664212375090638736ute_on: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,fun(X1,X1)) ) > $o ) ).

tff(pred_def_191,type,
    finite673082921795544331dem_on: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,fun(X1,X1)) ) > $o ) ).

tff(pred_def_192,type,
    finite4980608107308702382axioms: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,fun(X1,X1)) ) > $o ) ).

tff(pred_def_193,type,
    finite_folding_idem: 
      !>[X0: $tType,X1: $tType] : ( 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,
    finite6916993218817215295axioms: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,fun(X1,X1)) ) > $o ) ).

tff(pred_def_196,type,
    finite_folding_on: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,fun(X1,X1)) ) > $o ) ).

tff(pred_def_197,type,
    bij_betw: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * set(X0) * set(X1) ) > $o ) ).

tff(pred_def_198,type,
    inj_on: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * set(X0) ) > $o ) ).

tff(pred_def_199,type,
    strict_mono_on: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * set(X0) ) > $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,
    distinct_adj: 
      !>[X0: $tType] : ( list(X0) > $o ) ).

tff(pred_def_206,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_207,type,
    lexordp: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,$o)) * list(X0) * list(X0) ) > $o ) ).

tff(pred_def_208,type,
    linord3483353639454293061rt_key: 
      !>[X0: $tType,X1: $tType] : ( fun(fun(X0,X1),fun(list(X0),list(X0))) > $o ) ).

tff(pred_def_209,type,
    listrel1p: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,$o)) * list(X0) * list(X0) ) > $o ) ).

tff(pred_def_210,type,
    sorted_wrt: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,$o)) * list(X0) ) > $o ) ).

tff(pred_def_211,type,
    order_sup_continuous: 
      !>[X0: $tType,X1: $tType] : ( fun(X0,X1) > $o ) ).

tff(pred_def_212,type,
    order_679001287576687338der_on: 
      !>[X0: $tType] : ( ( set(X0) * set(product_prod(X0,X0)) ) > $o ) ).

tff(pred_def_213,type,
    order_7125193373082350890der_on: 
      !>[X0: $tType] : ( ( set(X0) * set(product_prod(X0,X0)) ) > $o ) ).

tff(pred_def_214,type,
    order_preorder_on: 
      !>[X0: $tType] : ( ( set(X0) * set(product_prod(X0,X0)) ) > $o ) ).

tff(pred_def_215,type,
    order_antimono: 
      !>[X0: $tType,X1: $tType] : ( fun(X0,X1) > $o ) ).

tff(pred_def_216,type,
    order_strict_mono: 
      !>[X0: $tType,X1: $tType] : ( fun(X0,X1) > $o ) ).

tff(pred_def_217,type,
    ordering_top: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,$o)) * fun(X0,fun(X0,$o)) * X0 ) > $o ) ).

tff(pred_def_218,type,
    cauchy: fun(nat,rat) > $o ).

tff(pred_def_219,type,
    vanishes: fun(nat,rat) > $o ).

tff(pred_def_220,type,
    real_V3181309239436604168linear: 
      !>[X0: $tType,X1: $tType] : ( fun(X0,X1) > $o ) ).

tff(pred_def_221,type,
    real_V358717886546972837endent: 
      !>[X0: $tType] : ( set(X0) > $o ) ).

tff(pred_def_222,type,
    real_Vector_linear: 
      !>[X0: $tType,X1: $tType] : ( fun(X0,X1) > $o ) ).

tff(pred_def_223,type,
    antisym: 
      !>[X0: $tType] : ( set(product_prod(X0,X0)) > $o ) ).

tff(pred_def_224,type,
    irrefl: 
      !>[X0: $tType] : ( set(product_prod(X0,X0)) > $o ) ).

tff(pred_def_225,type,
    irreflp: 
      !>[X0: $tType] : ( fun(X0,fun(X0,$o)) > $o ) ).

tff(pred_def_226,type,
    refl_on: 
      !>[X0: $tType] : ( ( set(X0) * set(product_prod(X0,X0)) ) > $o ) ).

tff(pred_def_227,type,
    total_on: 
      !>[X0: $tType] : ( ( set(X0) * set(product_prod(X0,X0)) ) > $o ) ).

tff(pred_def_228,type,
    algebr8660921524188924756oprime: 
      !>[X0: $tType] : ( ( X0 * X0 ) > $o ) ).

tff(pred_def_229,type,
    summable: 
      !>[X0: $tType] : ( fun(nat,X0) > $o ) ).

tff(pred_def_230,type,
    sums: 
      !>[X0: $tType] : ( ( fun(nat,X0) * X0 ) > $o ) ).

tff(pred_def_231,type,
    is_empty: 
      !>[X0: $tType] : ( set(X0) > $o ) ).

tff(pred_def_232,type,
    is_singleton: 
      !>[X0: $tType] : ( set(X0) > $o ) ).

tff(pred_def_233,type,
    pairwise: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,$o)) * set(X0) ) > $o ) ).

tff(pred_def_234,type,
    topolo3448309680560233919inuous: 
      !>[X0: $tType,X1: $tType] : ( ( filter(X0) * fun(X0,X1) ) > $o ) ).

tff(pred_def_235,type,
    topolo81223032696312382ous_on: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,X1) ) > $o ) ).

tff(pred_def_236,type,
    topological_monoseq: 
      !>[X0: $tType] : ( fun(nat,X0) > $o ) ).

tff(pred_def_237,type,
    topolo1002775350975398744n_open: 
      !>[X0: $tType] : ( set(X0) > $o ) ).

tff(pred_def_238,type,
    topolo7761053866217962861closed: 
      !>[X0: $tType] : ( set(X0) > $o ) ).

tff(pred_def_239,type,
    topolo2193935891317330818ompact: 
      !>[X0: $tType] : ( set(X0) > $o ) ).

tff(pred_def_240,type,
    topolo1966860045006549960nected: 
      !>[X0: $tType] : ( set(X0) > $o ) ).

tff(pred_def_241,type,
    topolo3814608138187158403Cauchy: 
      !>[X0: $tType] : ( fun(nat,X0) > $o ) ).

tff(pred_def_242,type,
    topolo6773858410816713723filter: 
      !>[X0: $tType] : ( filter(X0) > $o ) ).

tff(pred_def_243,type,
    topolo2479028161051973599mplete: 
      !>[X0: $tType] : ( set(X0) > $o ) ).

tff(pred_def_244,type,
    topolo6688025880775521714ounded: 
      !>[X0: $tType] : ( set(X0) > $o ) ).

tff(pred_def_245,type,
    topolo6026614971017936543ous_on: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,X1) ) > $o ) ).

tff(pred_def_246,type,
    bi_total: 
      !>[X0: $tType,X1: $tType] : ( fun(X0,fun(X1,$o)) > $o ) ).

tff(pred_def_247,type,
    transitive_acyclic: 
      !>[X0: $tType] : ( set(product_prod(X0,X0)) > $o ) ).

tff(pred_def_248,type,
    vEBT_V5917875025757280293ildren: ( nat * list(vEBT_VEBT) * nat ) > $o ).

tff(pred_def_249,type,
    vEBT_VEBT_membermima: ( vEBT_VEBT * nat ) > $o ).

tff(pred_def_250,type,
    vEBT_V5719532721284313246member: ( vEBT_VEBT * nat ) > $o ).

tff(pred_def_251,type,
    vEBT_VEBT_valid: ( vEBT_VEBT * nat ) > $o ).

tff(pred_def_252,type,
    vEBT_invar_vebt: ( vEBT_VEBT * nat ) > $o ).

tff(pred_def_253,type,
    vEBT_VEBT_minNull: vEBT_VEBT > $o ).

tff(pred_def_254,type,
    vEBT_VEBT_greater: ( option(nat) * option(nat) ) > $o ).

tff(pred_def_255,type,
    vEBT_VEBT_less: ( option(nat) * option(nat) ) > $o ).

tff(pred_def_256,type,
    vEBT_VEBT_lesseq: ( option(nat) * option(nat) ) > $o ).

tff(pred_def_257,type,
    vEBT_VEBT_max_in_set: ( set(nat) * nat ) > $o ).

tff(pred_def_258,type,
    vEBT_VEBT_min_in_set: ( set(nat) * nat ) > $o ).

tff(pred_def_259,type,
    vEBT_is_pred_in_set: ( set(nat) * nat * nat ) > $o ).

tff(pred_def_260,type,
    vEBT_is_succ_in_set: ( set(nat) * nat * nat ) > $o ).

tff(pred_def_261,type,
    accp: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,$o)) * X0 ) > $o ) ).

tff(pred_def_262,type,
    wf: 
      !>[X0: $tType] : ( set(product_prod(X0,X0)) > $o ) ).

tff(pred_def_263,type,
    chain_subset: 
      !>[X0: $tType] : ( set(set(X0)) > $o ) ).

tff(pred_def_264,type,
    pred_maxchain: 
      !>[X0: $tType] : ( ( set(X0) * fun(X0,fun(X0,$o)) * set(X0) ) > $o ) ).

tff(pred_def_265,type,
    member: 
      !>[X0: $tType] : ( ( X0 * set(X0) ) > $o ) ).

tff(pred_def_266,type,
    ':=': 
      !>[X0: $tType] : ( ( X0 * X0 ) > $o ) ).

tff(pred_def_267,type,
    iG161: 
      !>[X0: $tType] : ( ( num * X0 * X0 ) > $o ) ).

tff(pred_def_268,type,
    iG162: 
      !>[X0: $tType] : ( ( num * X0 * X0 ) > $o ) ).

tff(pred_def_269,type,
    iG165: 
      !>[X0: $tType] : ( ( X0 * X0 * X0 ) > $o ) ).

tff(pred_def_270,type,
    iG166: 
      !>[X0: $tType] : ( ( X0 * X0 * X0 ) > $o ) ).

tff(pred_def_271,type,
    iG171: 
      !>[X0: $tType] : ( ( X0 * num * X0 ) > $o ) ).

tff(pred_def_272,type,
    iG172: 
      !>[X0: $tType] : ( ( X0 * num * X0 ) > $o ) ).

tff(pred_def_273,type,
    iG259: ( nat * $o ) > $o ).

tff(pred_def_274,type,
    iG260: ( nat * $o * $o ) > $o ).

tff(pred_def_275,type,
    iG416: ( list(vEBT_VEBT) * nat * nat ) > $o ).

tff(pred_def_276,type,
    iG418: ( list(vEBT_VEBT) * nat * nat ) > $o ).

tff(pred_def_277,type,
    iG426: ( list(vEBT_VEBT) * nat * nat ) > $o ).

tff(pred_def_278,type,
    iG428: ( list(vEBT_VEBT) * nat * nat ) > $o ).

tff(pred_def_279,type,
    iG429: ( nat * $o ) > $o ).

tff(pred_def_280,type,
    iG430: ( nat * $o * $o ) > $o ).

tff(pred_def_281,type,
    iG434: ( list(vEBT_VEBT) * nat * nat ) > $o ).

tff(pred_def_282,type,
    iG435: ( nat * $o ) > $o ).

tff(pred_def_283,type,
    iG436: ( nat * $o * $o ) > $o ).

tff(pred_def_284,type,
    iG440: ( list(vEBT_VEBT) * nat * nat ) > $o ).

tff(pred_def_285,type,
    iG441: ( nat * $o ) > $o ).

tff(pred_def_286,type,
    iG442: ( nat * $o * $o ) > $o ).

tff(pred_def_287,type,
    iG446: ( list(vEBT_VEBT) * nat * nat ) > $o ).

tff(pred_def_288,type,
    iG448: ( list(vEBT_VEBT) * nat * nat ) > $o ).

tff(pred_def_289,type,
    iG450: ( list(vEBT_VEBT) * nat * nat ) > $o ).

tff(pred_def_290,type,
    iG451: ( nat * nat * nat * list(vEBT_VEBT) ) > $o ).

tff(pred_def_291,type,
    iG452: ( nat * nat * nat * nat * list(vEBT_VEBT) ) > $o ).

tff(pred_def_292,type,
    iG453: ( nat * nat * nat * nat * list(vEBT_VEBT) ) > $o ).

tff(pred_def_293,type,
    iG454: ( nat * nat * nat * nat * list(vEBT_VEBT) ) > $o ).

tff(pred_def_294,type,
    iG455: ( nat * $o ) > $o ).

tff(pred_def_295,type,
    iG456: ( nat * $o * $o ) > $o ).

tff(pred_def_296,type,
    iG460: ( list(vEBT_VEBT) * nat * nat ) > $o ).

tff(pred_def_297,type,
    iG462: ( list(vEBT_VEBT) * nat * nat ) > $o ).

tff(pred_def_298,type,
    iG466: ( list(vEBT_VEBT) * nat * nat ) > $o ).

tff(pred_def_299,type,
    iG468: ( list(vEBT_VEBT) * nat * nat ) > $o ).

tff(pred_def_300,type,
    iG478: ( list(vEBT_VEBT) * nat * nat ) > $o ).

tff(pred_def_301,type,
    iG479: ( nat * nat * nat * list(vEBT_VEBT) ) > $o ).

tff(pred_def_302,type,
    iG480: ( nat * nat * nat * nat * list(vEBT_VEBT) ) > $o ).

tff(pred_def_303,type,
    iG481: ( nat * nat * nat * nat * list(vEBT_VEBT) ) > $o ).

tff(pred_def_304,type,
    iG482: ( nat * nat * nat * nat * list(vEBT_VEBT) ) > $o ).

tff(pred_def_305,type,
    iG483: ( nat * $o ) > $o ).

tff(pred_def_306,type,
    iG484: ( nat * $o * $o ) > $o ).

tff(pred_def_307,type,
    iG488: ( list(vEBT_VEBT) * nat * nat ) > $o ).

tff(pred_def_308,type,
    iG489: ( nat * nat * nat * list(vEBT_VEBT) ) > $o ).

tff(pred_def_309,type,
    iG490: ( nat * nat * nat * nat * list(vEBT_VEBT) ) > $o ).

tff(pred_def_310,type,
    iG491: ( nat * nat * nat * nat * list(vEBT_VEBT) ) > $o ).

tff(pred_def_311,type,
    iG492: ( nat * nat * nat * nat * list(vEBT_VEBT) ) > $o ).

tff(pred_def_312,type,
    iG493: ( nat * $o ) > $o ).

tff(pred_def_313,type,
    iG494: ( nat * $o * $o ) > $o ).

tff(pred_def_314,type,
    iG706: ( list(vEBT_VEBT) * nat * nat ) > $o ).

tff(pred_def_315,type,
    iG707: ( nat * nat * nat * list(vEBT_VEBT) ) > $o ).

tff(pred_def_316,type,
    iG708: ( nat * nat * nat * nat * list(vEBT_VEBT) ) > $o ).

tff(pred_def_317,type,
    iG709: ( nat * nat * nat * nat * list(vEBT_VEBT) ) > $o ).

tff(pred_def_318,type,
    iG710: ( nat * nat * nat * nat * list(vEBT_VEBT) ) > $o ).

tff(pred_def_319,type,
    iG711: ( nat * $o ) > $o ).

tff(pred_def_320,type,
    iG712: ( nat * $o * $o ) > $o ).

tff(pred_def_321,type,
    iG718: ( list(vEBT_VEBT) * nat * nat ) > $o ).

tff(pred_def_322,type,
    iG719: ( nat * $o ) > $o ).

tff(pred_def_323,type,
    iG720: ( nat * $o * $o ) > $o ).

tff(pred_def_324,type,
    iG726: ( list(vEBT_VEBT) * nat * nat ) > $o ).

tff(pred_def_325,type,
    iG727: ( nat * $o ) > $o ).

tff(pred_def_326,type,
    iG728: ( nat * $o * $o ) > $o ).

tff(pred_def_327,type,
    iG745: ( list(vEBT_VEBT) * nat * nat ) > $o ).

tff(pred_def_328,type,
    iG746: ( nat * nat * nat * list(vEBT_VEBT) ) > $o ).

tff(pred_def_329,type,
    iG747: ( nat * nat * nat * nat * list(vEBT_VEBT) ) > $o ).

tff(pred_def_330,type,
    iG748: ( nat * nat * nat * nat * list(vEBT_VEBT) ) > $o ).

tff(pred_def_331,type,
    iG749: ( nat * nat * nat * nat * list(vEBT_VEBT) ) > $o ).

tff(pred_def_332,type,
    iG750: ( nat * $o ) > $o ).

tff(pred_def_333,type,
    iG751: ( nat * $o * $o ) > $o ).

tff(pred_def_334,type,
    iG760: ( list(vEBT_VEBT) * nat * nat ) > $o ).

tff(pred_def_335,type,
    iG766: ( list(vEBT_VEBT) * nat * nat ) > $o ).

tff(pred_def_336,type,
    iG768: ( list(vEBT_VEBT) * nat * nat ) > $o ).

tff(pred_def_337,type,
    iG774: ( list(vEBT_VEBT) * nat * nat ) > $o ).

tff(pred_def_338,type,
    iG776: ( list(vEBT_VEBT) * nat * nat ) > $o ).

tff(pred_def_339,type,
    iG780: ( int * int * int ) > $o ).

tff(pred_def_340,type,
    iG781: ( int * int * int ) > $o ).

tff(pred_def_341,type,
    iG823: 
      !>[X0: $tType] : ( ( num * X0 * X0 ) > $o ) ).

tff(pred_def_342,type,
    iG824: 
      !>[X0: $tType] : ( ( num * X0 * X0 ) > $o ) ).

tff(pred_def_343,type,
    iG826: 
      !>[X0: $tType] : ( ( X0 * X0 * X0 ) > $o ) ).

tff(pred_def_344,type,
    iG827: 
      !>[X0: $tType] : ( ( X0 * X0 * X0 ) > $o ) ).

tff(pred_def_345,type,
    iG832: 
      !>[X0: $tType] : ( ( X0 * num * X0 ) > $o ) ).

tff(pred_def_346,type,
    iG833: 
      !>[X0: $tType] : ( ( X0 * num * X0 ) > $o ) ).

tff(pred_def_347,type,
    iG864: 
      !>[X0: $tType] : ( ( X0 * X0 * set(X0) * set(X0) ) > $o ) ).

tff(pred_def_348,type,
    iG924: ( int * nat ) > $o ).

tff(pred_def_349,type,
    iG925: ( int * nat ) > $o ).

tff(pred_def_350,type,
    iG943: 
      !>[X0: $tType] : ( ( real * X0 * X0 * real ) > $o ) ).

tff(pred_def_351,type,
    iG944: 
      !>[X0: $tType] : ( ( real * X0 * real * X0 ) > $o ) ).

tff(pred_def_352,type,
    iG1079: ( real * real * real ) > $o ).

tff(pred_def_353,type,
    iG1187: 
      !>[X0: $tType] : ( ( list(list(X0)) * list(X0) * list(X0) ) > $o ) ).

tff(pred_def_354,type,
    iG1195: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) * list(X0) * list(X0) ) > $o ) ).

tff(pred_def_355,type,
    iG1334: ( nat * nat * list(vEBT_VEBT) * nat * nat ) > $o ).

tff(pred_def_356,type,
    sP1339: 
      !>[X0: $tType] : ( ( X0 * X0 * X0 ) > $o ) ).

tff(pred_def_357,type,
    sP1340: 
      !>[X0: $tType] : ( ( X0 * X0 * X0 ) > $o ) ).

tff(pred_def_358,type,
    sP1341: 
      !>[X0: $tType] : ( ( X0 * X0 * X0 ) > $o ) ).

tff(pred_def_359,type,
    sP1342: 
      !>[X0: $tType,X1: $tType] : ( ( option(X0) * option(X1) * fun(option(X1),fun(option(X0),$o)) ) > $o ) ).

tff(pred_def_360,type,
    sP1343: 
      !>[X0: $tType] : ( ( fun(X0,$o) * fun(X0,$o) * fun(X0,$o) * fun(X0,$o) ) > $o ) ).

tff(pred_def_361,type,
    sP1344: 
      !>[X0: $tType] : ( ( fun(X0,$o) * fun(X0,$o) * fun(X0,$o) * fun(X0,$o) ) > $o ) ).

tff(pred_def_362,type,
    sP1345: 
      !>[X0: $tType] : ( ( fun(X0,$o) * fun(X0,$o) * fun(X0,$o) * fun(X0,$o) ) > $o ) ).

tff(pred_def_363,type,
    sP1346: 
      !>[X0: $tType] : ( ( fun(X0,$o) * fun(X0,$o) * fun(X0,$o) * fun(X0,$o) ) > $o ) ).

tff(pred_def_364,type,
    sP1347: ( nat * nat * list(vEBT_VEBT) * nat * nat ) > $o ).

tff(pred_def_365,type,
    sP1348: ( vEBT_VEBT * list(vEBT_VEBT) * nat ) > $o ).

tff(pred_def_366,type,
    sP1349: ( nat * nat * list(vEBT_VEBT) * nat * nat ) > $o ).

tff(pred_def_367,type,
    sP1350: ( vEBT_VEBT * list(vEBT_VEBT) * nat ) > $o ).

tff(pred_def_368,type,
    sP1351: 
      !>[X0: $tType] : ( ( option(X0) * option(X0) * option(X0) ) > $o ) ).

tff(pred_def_369,type,
    sP1352: ( fun(nat,$o) * nat * nat ) > $o ).

tff(pred_def_370,type,
    sP1353: ( nat * nat * list(vEBT_VEBT) * nat ) > $o ).

tff(pred_def_371,type,
    sP1354: ( list(vEBT_VEBT) * nat * nat ) > $o ).

tff(pred_def_372,type,
    sP1355: ( vEBT_VEBT * list(vEBT_VEBT) * nat ) > $o ).

tff(pred_def_373,type,
    sP1356: ( nat * nat * list(vEBT_VEBT) * nat ) > $o ).

tff(pred_def_374,type,
    sP1357: ( list(vEBT_VEBT) * nat * nat ) > $o ).

tff(pred_def_375,type,
    sP1358: ( vEBT_VEBT * list(vEBT_VEBT) * nat ) > $o ).

tff(pred_def_376,type,
    sP1359: ( vEBT_VEBT * nat ) > $o ).

tff(pred_def_377,type,
    sP1360: ( vEBT_VEBT * nat ) > $o ).

tff(pred_def_378,type,
    sP1361: ( vEBT_VEBT * nat ) > $o ).

tff(pred_def_379,type,
    sP1362: ( vEBT_VEBT * nat ) > $o ).

tff(pred_def_380,type,
    sP1363: ( $o * vEBT_VEBT ) > $o ).

tff(pred_def_381,type,
    sP1364: ( $o * vEBT_VEBT ) > $o ).

tff(pred_def_382,type,
    sP1365: ( $o * vEBT_VEBT ) > $o ).

tff(pred_def_383,type,
    sP1366: ( nat * nat * list(vEBT_VEBT) * nat * nat ) > $o ).

tff(pred_def_384,type,
    sP1367: ( vEBT_VEBT * list(vEBT_VEBT) * nat ) > $o ).

tff(pred_def_385,type,
    sP1368: ( nat * nat * list(vEBT_VEBT) * nat * nat ) > $o ).

tff(pred_def_386,type,
    sP1369: ( vEBT_VEBT * list(vEBT_VEBT) * nat ) > $o ).

tff(pred_def_387,type,
    sP1370: ( nat * vEBT_VEBT ) > $o ).

tff(pred_def_388,type,
    sP1371: ( nat * vEBT_VEBT ) > $o ).

tff(pred_def_389,type,
    sP1372: ( nat * vEBT_VEBT ) > $o ).

tff(pred_def_390,type,
    sP1373: ( nat * vEBT_VEBT ) > $o ).

tff(pred_def_391,type,
    sP1374: ( fun(int,$o) * int * int ) > $o ).

tff(pred_def_392,type,
    sP1375: ( fun(int,$o) * int * int ) > $o ).

tff(pred_def_393,type,
    sP1376: ( int * fun(int,$o) * set(int) * fun(int,$o) ) > $o ).

tff(pred_def_394,type,
    sP1377: ( int * fun(int,$o) * set(int) * fun(int,$o) ) > $o ).

tff(pred_def_395,type,
    sP1378: ( nat * $o * vEBT_VEBT ) > $o ).

tff(pred_def_396,type,
    sP1379: ( nat * $o * vEBT_VEBT ) > $o ).

tff(pred_def_397,type,
    sP1380: ( nat * vEBT_VEBT ) > $o ).

tff(pred_def_398,type,
    sP1381: ( nat * $o * vEBT_VEBT ) > $o ).

tff(pred_def_399,type,
    sP1382: ( nat * $o * vEBT_VEBT ) > $o ).

tff(pred_def_400,type,
    sP1383: ( nat * $o * vEBT_VEBT ) > $o ).

tff(pred_def_401,type,
    sP1384: ( nat * $o * vEBT_VEBT ) > $o ).

tff(pred_def_402,type,
    sP1385: ( nat * $o * vEBT_VEBT ) > $o ).

tff(pred_def_403,type,
    sP1386: ( vEBT_VEBT * nat * vEBT_VEBT ) > $o ).

tff(pred_def_404,type,
    sP1387: ( vEBT_VEBT * vEBT_VEBT ) > $o ).

tff(pred_def_405,type,
    sP1388: ( vEBT_VEBT * nat * vEBT_VEBT ) > $o ).

tff(pred_def_406,type,
    sP1389: ( vEBT_VEBT * nat * vEBT_VEBT ) > $o ).

tff(pred_def_407,type,
    sP1390: ( vEBT_VEBT * nat * vEBT_VEBT ) > $o ).

tff(pred_def_408,type,
    sP1391: ( vEBT_VEBT * vEBT_VEBT ) > $o ).

tff(pred_def_409,type,
    sP1392: ( option(nat) * nat * vEBT_VEBT ) > $o ).

tff(pred_def_410,type,
    sP1393: ( option(nat) * nat * vEBT_VEBT ) > $o ).

tff(pred_def_411,type,
    sP1394: ( option(nat) * vEBT_VEBT ) > $o ).

tff(pred_def_412,type,
    sP1395: ( option(nat) * nat * vEBT_VEBT ) > $o ).

tff(pred_def_413,type,
    sP1396: ( option(nat) * nat * vEBT_VEBT ) > $o ).

tff(pred_def_414,type,
    sP1397: ( option(nat) * nat * vEBT_VEBT ) > $o ).

tff(pred_def_415,type,
    sP1398: ( option(nat) * vEBT_VEBT ) > $o ).

tff(pred_def_416,type,
    sP1399: ( option(nat) * nat * vEBT_VEBT ) > $o ).

tff(pred_def_417,type,
    sP1400: ( option(nat) * nat * vEBT_VEBT ) > $o ).

tff(pred_def_418,type,
    sP1401: ( nat * option(nat) * vEBT_VEBT ) > $o ).

tff(pred_def_419,type,
    sP1402: ( nat * option(nat) * vEBT_VEBT ) > $o ).

tff(pred_def_420,type,
    sP1403: ( nat * option(nat) * vEBT_VEBT ) > $o ).

tff(pred_def_421,type,
    sP1404: ( option(nat) * nat * vEBT_VEBT ) > $o ).

tff(pred_def_422,type,
    sP1405: ( option(nat) * nat * vEBT_VEBT ) > $o ).

tff(pred_def_423,type,
    sP1406: ( option(nat) * nat * vEBT_VEBT ) > $o ).

tff(pred_def_424,type,
    sP1407: ( nat * option(nat) * vEBT_VEBT ) > $o ).

tff(pred_def_425,type,
    sP1408: ( nat * option(nat) * vEBT_VEBT ) > $o ).

tff(pred_def_426,type,
    sP1409: ( nat * option(nat) * vEBT_VEBT ) > $o ).

tff(pred_def_427,type,
    sP1410: ( vEBT_VEBT * nat * vEBT_VEBT ) > $o ).

tff(pred_def_428,type,
    sP1411: ( vEBT_VEBT * nat * vEBT_VEBT ) > $o ).

tff(pred_def_429,type,
    sP1412: ( vEBT_VEBT * nat * vEBT_VEBT ) > $o ).

tff(pred_def_430,type,
    sP1413: ( nat * vEBT_VEBT * vEBT_VEBT ) > $o ).

tff(pred_def_431,type,
    sP1414: ( nat * vEBT_VEBT * vEBT_VEBT ) > $o ).

tff(pred_def_432,type,
    sP1415: ( nat * vEBT_VEBT * vEBT_VEBT ) > $o ).

tff(pred_def_433,type,
    sP1416: ( nat * vEBT_VEBT * vEBT_VEBT ) > $o ).

tff(pred_def_434,type,
    sP1417: ( nat * vEBT_VEBT * vEBT_VEBT ) > $o ).

tff(pred_def_435,type,
    sP1418: ( nat * vEBT_VEBT * vEBT_VEBT ) > $o ).

tff(pred_def_436,type,
    sP1419: ( nat * vEBT_VEBT * vEBT_VEBT ) > $o ).

tff(pred_def_437,type,
    sP1420: ( nat * $o * vEBT_VEBT ) > $o ).

tff(pred_def_438,type,
    sP1421: ( nat * $o * vEBT_VEBT ) > $o ).

tff(pred_def_439,type,
    sP1422: ( nat * $o * vEBT_VEBT ) > $o ).

tff(pred_def_440,type,
    sP1423: ( nat * $o * vEBT_VEBT ) > $o ).

tff(pred_def_441,type,
    sP1424: ( nat * vEBT_VEBT ) > $o ).

tff(pred_def_442,type,
    sP1425: ( nat * vEBT_VEBT ) > $o ).

tff(pred_def_443,type,
    sP1426: ( nat * vEBT_VEBT ) > $o ).

tff(pred_def_444,type,
    sP1427: ( nat * vEBT_VEBT ) > $o ).

tff(pred_def_445,type,
    sP1428: ( nat * $o * vEBT_VEBT ) > $o ).

tff(pred_def_446,type,
    sP1429: ( nat * $o * vEBT_VEBT ) > $o ).

tff(pred_def_447,type,
    sP1430: ( nat * vEBT_VEBT ) > $o ).

tff(pred_def_448,type,
    sP1431: ( nat * $o * vEBT_VEBT ) > $o ).

tff(pred_def_449,type,
    sP1432: ( nat * $o * vEBT_VEBT ) > $o ).

tff(pred_def_450,type,
    sP1433: ( nat * $o * vEBT_VEBT ) > $o ).

tff(pred_def_451,type,
    sP1434: ( nat * $o * vEBT_VEBT ) > $o ).

tff(pred_def_452,type,
    sP1435: ( nat * vEBT_VEBT ) > $o ).

tff(pred_def_453,type,
    sP1436: ( nat * vEBT_VEBT ) > $o ).

tff(pred_def_454,type,
    sP1437: ( nat * vEBT_VEBT ) > $o ).

tff(pred_def_455,type,
    sP1438: ( nat * vEBT_VEBT ) > $o ).

tff(pred_def_456,type,
    sP1439: ( nat * vEBT_VEBT ) > $o ).

tff(pred_def_457,type,
    sP1440: ( nat * fun(nat,$o) * nat ) > $o ).

tff(pred_def_458,type,
    sP1441: ( fun(real,fun(real,$o)) * real * real ) > $o ).

tff(pred_def_459,type,
    sP1442: ( fun(int,$o) * int * int ) > $o ).

tff(pred_def_460,type,
    sP1443: ( fun(int,$o) * int * int ) > $o ).

tff(pred_def_461,type,
    sP1444: ( vEBT_VEBT * nat ) > $o ).

tff(pred_def_462,type,
    sP1445: ( vEBT_VEBT * nat ) > $o ).

tff(pred_def_463,type,
    sP1446: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * fun(X0,X1) * set(X1) * set(X1) ) > $o ) ).

tff(pred_def_464,type,
    sP1447: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * set(X0) * fun(X1,X0) * set(X1) * set(X1) ) > $o ) ).

tff(pred_def_465,type,
    sP1448: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * fun(X0,X1) * set(X1) * set(X1) ) > $o ) ).

tff(pred_def_466,type,
    sP1449: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * set(X0) * fun(X1,X0) * set(X1) * set(X1) ) > $o ) ).

tff(pred_def_467,type,
    sP1450: 
      !>[X0: $tType] : ( ( fun(set(X0),$o) * set(X0) ) > $o ) ).

tff(pred_def_468,type,
    sP1451: ( fun(nat,int) * nat * nat ) > $o ).

tff(pred_def_469,type,
    sP1452: ( int * int * product_prod(int,int) ) > $o ).

tff(pred_def_470,type,
    sP1453: ( int * int * product_prod(int,int) ) > $o ).

tff(pred_def_471,type,
    sP1454: ( int * int * product_prod(int,int) ) > $o ).

tff(pred_def_472,type,
    sP1455: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * fun(X0,X1) * set(X1) * set(X1) ) > $o ) ).

tff(pred_def_473,type,
    sP1456: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * set(X0) * fun(X1,X0) * set(X1) * set(X1) ) > $o ) ).

tff(pred_def_474,type,
    sP1457: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * fun(X0,X1) * set(X1) * set(X1) ) > $o ) ).

tff(pred_def_475,type,
    sP1458: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * set(X0) * fun(X1,X0) * set(X1) * set(X1) ) > $o ) ).

tff(pred_def_476,type,
    sP1459: 
      !>[X0: $tType] : ( ( fun(nat,X0) * nat ) > $o ) ).

tff(pred_def_477,type,
    sP1460: ( fun(nat,nat) * nat ) > $o ).

tff(pred_def_478,type,
    sP1461: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,fun(X1,$o)) * set(X1) * set(X0) ) > $o ) ).

tff(pred_def_479,type,
    sP1462: ( option(nat) * vEBT_VEBT ) > $o ).

tff(pred_def_480,type,
    sP1463: ( option(nat) * vEBT_VEBT ) > $o ).

tff(pred_def_481,type,
    sP1464: ( option(nat) * vEBT_VEBT ) > $o ).

tff(pred_def_482,type,
    sP1465: ( option(nat) * vEBT_VEBT ) > $o ).

tff(pred_def_483,type,
    sP1466: ( $o * vEBT_VEBT ) > $o ).

tff(pred_def_484,type,
    sP1467: ( $o * vEBT_VEBT ) > $o ).

tff(pred_def_485,type,
    sP1468: ( $o * vEBT_VEBT ) > $o ).

tff(pred_def_486,type,
    sP1469: ( $o * vEBT_VEBT ) > $o ).

tff(pred_def_487,type,
    sP1470: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * set(set(X1)) ) > $o ) ).

tff(pred_def_488,type,
    sP1471: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * set(set(X1)) ) > $o ) ).

tff(pred_def_489,type,
    sP1472: 
      !>[X0: $tType] : ( list(list(X0)) > $o ) ).

tff(pred_def_490,type,
    sP1473: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,filter(X1)) ) > $o ) ).

tff(pred_def_491,type,
    sP1474: ( fun(real,real) * fun(real,real) * real * real ) > $o ).

tff(pred_def_492,type,
    sP1475: ( fun(nat,fun(real,real)) * nat * real ) > $o ).

tff(pred_def_493,type,
    sP1476: ( fun(nat,fun(real,real)) * nat * real ) > $o ).

tff(pred_def_494,type,
    sP1477: ( fun(nat,fun(real,real)) * nat * real ) > $o ).

tff(pred_def_495,type,
    sP1478: ( fun(nat,fun(real,real)) * nat * real * real ) > $o ).

tff(pred_def_496,type,
    sP1479: ( fun(nat,fun(real,real)) * nat * real * real ) > $o ).

tff(pred_def_497,type,
    sP1480: ( real * nat * real ) > $o ).

tff(pred_def_498,type,
    sP1481: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * fun(X1,$o) ) > $o ) ).

tff(pred_def_499,type,
    sP1482: 
      !>[X0: $tType] : ( set(filter(X0)) > $o ) ).

tff(pred_def_500,type,
    sP1483: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * fun(X1,$o) ) > $o ) ).

tff(pred_def_501,type,
    sP1484: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,filter(X1)) ) > $o ) ).

tff(pred_def_502,type,
    sP1485: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * X0 * X0 ) > $o ) ).

tff(pred_def_503,type,
    sP1486: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * X0 * X0 ) > $o ) ).

tff(pred_def_504,type,
    sP1487: 
      !>[X0: $tType] : ( ( fun(real,X0) * real * real ) > $o ) ).

tff(pred_def_505,type,
    sP1488: 
      !>[X0: $tType] : ( ( fun(real,X0) * real * real ) > $o ) ).

tff(pred_def_506,type,
    sP1489: ( fun(real,real) * fun(real,real) * real * real ) > $o ).

tff(pred_def_507,type,
    sP1490: 
      !>[X0: $tType] : ( ( fun(real,X0) * real * real ) > $o ) ).

tff(pred_def_508,type,
    sP1491: 
      !>[X0: $tType,X1: $tType,X2: $tType,X3: $tType] : ( ( set(X0) * fun(X2,set(X1)) * fun(X3,X1) * fun(X0,set(X3)) * set(X2) ) > $o ) ).

tff(pred_def_509,type,
    sP1492: ( fun(real,real) * real * real ) > $o ).

tff(pred_def_510,type,
    sP1493: ( fun(real,real) * real * real ) > $o ).

tff(pred_def_511,type,
    sP1494: ( fun(real,real) * fun(real,real) * real * real ) > $o ).

tff(pred_def_512,type,
    sP1495: ( fun(real,real) * fun(real,real) * real * real ) > $o ).

tff(pred_def_513,type,
    sP1496: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * fun(X1,$o) ) > $o ) ).

tff(pred_def_514,type,
    sP1497: ( fun(real,real) * fun(real,real) * real * real ) > $o ).

tff(pred_def_515,type,
    sP1498: ( fun(real,real) * real * real ) > $o ).

tff(pred_def_516,type,
    sP1499: ( fun(real,real) * real * real ) > $o ).

tff(pred_def_517,type,
    sP1500: ( fun(real,real) * real * real ) > $o ).

tff(pred_def_518,type,
    sP1501: ( real * real * fun(real,real) ) > $o ).

tff(pred_def_519,type,
    sP1502: ( fun(real,fun(real,real)) * fun(real,real) * real * real ) > $o ).

tff(pred_def_520,type,
    sP1503: ( fun(real,fun(real,real)) * fun(real,real) * real * real ) > $o ).

tff(pred_def_521,type,
    sP1504: ( fun(real,real) * real * real ) > $o ).

tff(pred_def_522,type,
    sP1505: 
      !>[X0: $tType] : ( set(X0) > $o ) ).

tff(pred_def_523,type,
    sP1506: 
      !>[X0: $tType] : $o ).

tff(pred_def_524,type,
    sP1507: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) ) > $o ) ).

tff(pred_def_525,type,
    sP1508: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,$o)) * set(product_prod(X0,X0)) ) > $o ) ).

tff(pred_def_526,type,
    sP1509: 
      !>[X0: $tType] : ( ( X0 * X0 * set(product_prod(X0,X0)) ) > $o ) ).

tff(pred_def_527,type,
    sP1510: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * set(X1) ) > $o ) ).

tff(pred_def_528,type,
    sP1511: 
      !>[X0: $tType] : ( ( X0 * X0 * set(product_prod(X0,X0)) ) > $o ) ).

tff(pred_def_529,type,
    sP1512: 
      !>[X0: $tType] : ( set(X0) > $o ) ).

tff(pred_def_530,type,
    sP1513: 
      !>[X0: $tType] : $o ).

tff(pred_def_531,type,
    sP1514: 
      !>[X0: $tType] : ( ( set(X0) * set(X0) * X0 ) > $o ) ).

tff(pred_def_532,type,
    sP1515: 
      !>[X0: $tType] : ( ( set(X0) * set(X0) * X0 ) > $o ) ).

tff(pred_def_533,type,
    sP1516: ( nat * $o * vEBT_VEBT ) > $o ).

tff(pred_def_534,type,
    sP1517: ( nat * vEBT_VEBT ) > $o ).

tff(pred_def_535,type,
    sP1518: ( nat * vEBT_VEBT ) > $o ).

tff(pred_def_536,type,
    sP1519: ( nat * vEBT_VEBT ) > $o ).

tff(pred_def_537,type,
    sP1520: ( nat * nat * list(vEBT_VEBT) * vEBT_VEBT * option(product_prod(nat,nat)) * $o ) > $o ).

tff(pred_def_538,type,
    sP1521: ( nat * $o * vEBT_VEBT ) > $o ).

tff(pred_def_539,type,
    sP1522: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,fun(X0,X0)) * fun(X1,fun(X0,X0)) * set(X0) * set(X1) ) > $o ) ).

tff(pred_def_540,type,
    sP1523: ( option(num) * num * num ) > $o ).

tff(pred_def_541,type,
    sP1524: ( option(num) * num * num ) > $o ).

tff(pred_def_542,type,
    sP1525: ( option(num) * num * num ) > $o ).

tff(pred_def_543,type,
    sP1526: ( option(num) * num * num ) > $o ).

tff(pred_def_544,type,
    sP1527: ( option(num) * num * num ) > $o ).

tff(pred_def_545,type,
    sP1528: ( option(num) * num * num ) > $o ).

tff(pred_def_546,type,
    sP1529: ( option(num) * num * num ) > $o ).

tff(pred_def_547,type,
    sP1530: ( option(num) * num * num ) > $o ).

tff(pred_def_548,type,
    sP1531: ( option(num) * num * num ) > $o ).

tff(pred_def_549,type,
    sP1532: ( option(num) * num * num ) > $o ).

tff(pred_def_550,type,
    sP1533: ( option(num) * num * num ) > $o ).

tff(pred_def_551,type,
    sP1534: ( option(num) * num * num ) > $o ).

tff(pred_def_552,type,
    sP1535: ( option(num) * num * num ) > $o ).

tff(pred_def_553,type,
    sP1536: ( option(num) * num * num ) > $o ).

tff(pred_def_554,type,
    sP1537: ( option(num) * num * num ) > $o ).

tff(pred_def_555,type,
    sP1538: ( option(num) * num * num ) > $o ).

tff(pred_def_556,type,
    sP1539: ( option(num) * num * num ) > $o ).

tff(pred_def_557,type,
    sP1540: ( option(num) * num * num ) > $o ).

tff(pred_def_558,type,
    sP1541: ( option(num) * num * num ) > $o ).

tff(pred_def_559,type,
    sP1542: ( option(num) * num * num ) > $o ).

tff(pred_def_560,type,
    sP1543: ( option(num) * num * num ) > $o ).

tff(pred_def_561,type,
    sP1544: ( option(num) * num * num ) > $o ).

tff(pred_def_562,type,
    sP1545: ( option(num) * num * num ) > $o ).

tff(pred_def_563,type,
    sP1546: ( option(num) * num * num ) > $o ).

tff(pred_def_564,type,
    sP1547: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) * list(X0) ) > $o ) ).

tff(pred_def_565,type,
    sP1548: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) * list(X0) ) > $o ) ).

tff(pred_def_566,type,
    sP1549: 
      !>[X0: $tType,X1: $tType] : ( ( list(X0) * list(X1) * fun(X0,fun(X1,$o)) ) > $o ) ).

tff(pred_def_567,type,
    sP1550: 
      !>[X0: $tType,X1: $tType] : ( ( list(X0) * list(X1) * set(product_prod(X0,X1)) ) > $o ) ).

tff(pred_def_568,type,
    sP1551: 
      !>[X0: $tType] : ( ( set(list(X0)) * list(X0) * list(X0) ) > $o ) ).

tff(pred_def_569,type,
    sP1552: 
      !>[X0: $tType] : ( ( list(list(X0)) * list(list(X0)) ) > $o ) ).

tff(pred_def_570,type,
    sP1553: 
      !>[X0: $tType] : ( ( list(list(X0)) * list(list(X0)) ) > $o ) ).

tff(pred_def_571,type,
    sP1554: 
      !>[X0: $tType] : ( fun(list(list(X0)),$o) > $o ) ).

tff(pred_def_572,type,
    sP1555: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) ) > $o ) ).

tff(pred_def_573,type,
    sP1556: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) ) > $o ) ).

tff(pred_def_574,type,
    sP1557: 
      !>[X0: $tType] : ( ( list(X0) * X0 * list(X0) * list(X0) ) > $o ) ).

tff(pred_def_575,type,
    sP1558: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,$o)) * $o * list(X0) ) > $o ) ).

tff(pred_def_576,type,
    sP1559: 
      !>[X0: $tType] : ( ( X0 * list(X0) ) > $o ) ).

tff(pred_def_577,type,
    sP1560: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * set(X0) * set(X1) * set(X1) ) > $o ) ).

tff(pred_def_578,type,
    sP1561: ( option(num) * num * num ) > $o ).

tff(pred_def_579,type,
    sP1562: ( option(num) * num * num ) > $o ).

tff(pred_def_580,type,
    sP1563: ( option(num) * num * num ) > $o ).

tff(pred_def_581,type,
    sP1564: ( option(num) * num * num ) > $o ).

tff(pred_def_582,type,
    sP1565: ( option(num) * num * num ) > $o ).

tff(pred_def_583,type,
    sP1566: ( option(num) * num * num ) > $o ).

tff(pred_def_584,type,
    sP1567: ( option(num) * num * num ) > $o ).

tff(pred_def_585,type,
    sP1568: ( option(num) * num * num ) > $o ).

tff(pred_def_586,type,
    sP1569: 
      !>[X0: $tType] : ( ( set(list(X0)) * list(X0) * list(X0) ) > $o ) ).

tff(pred_def_587,type,
    sP1570: 
      !>[X0: $tType] : ( ( list(X0) * set(list(X0)) * list(X0) ) > $o ) ).

tff(pred_def_588,type,
    sP1571: 
      !>[X0: $tType] : ( fun(list(X0),fun(list(X0),$o)) > $o ) ).

tff(pred_def_589,type,
    sP1572: ( option(num) * num * num ) > $o ).

tff(pred_def_590,type,
    sP1573: ( option(num) * num * num ) > $o ).

tff(pred_def_591,type,
    sP1574: ( option(num) * num * num ) > $o ).

tff(pred_def_592,type,
    sP1575: ( option(num) * num * num ) > $o ).

tff(pred_def_593,type,
    sP1576: ( option(num) * num * num ) > $o ).

tff(pred_def_594,type,
    sP1577: ( option(num) * num * num ) > $o ).

tff(pred_def_595,type,
    sP1578: ( option(num) * num * num ) > $o ).

tff(pred_def_596,type,
    sP1579: ( option(num) * num * num ) > $o ).

tff(pred_def_597,type,
    sP1580: ( option(num) * num * num ) > $o ).

tff(pred_def_598,type,
    sP1581: ( option(num) * num * num ) > $o ).

tff(pred_def_599,type,
    sP1582: ( option(num) * num * num ) > $o ).

tff(pred_def_600,type,
    sP1583: ( option(num) * num * num ) > $o ).

tff(pred_def_601,type,
    sP1584: ( option(num) * num * num ) > $o ).

tff(pred_def_602,type,
    sP1585: ( option(num) * num * num ) > $o ).

tff(pred_def_603,type,
    sP1586: ( option(num) * num * num ) > $o ).

tff(pred_def_604,type,
    sP1587: ( option(num) * num * num ) > $o ).

tff(pred_def_605,type,
    sP1588: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) * list(X0) ) > $o ) ).

tff(pred_def_606,type,
    sP1589: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,fun(X0,X0)) * fun(X1,fun(X0,X0)) * set(X0) * set(X1) ) > $o ) ).

tff(pred_def_607,type,
    sP1590: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,fun(X0,X0)) * fun(X1,fun(X0,X0)) * set(X0) * set(X1) ) > $o ) ).

tff(pred_def_608,type,
    sP1591: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * X1 * X1 * fun(X0,fun(X1,X1)) ) > $o ) ).

tff(pred_def_609,type,
    sP1592: 
      !>[X0: $tType,X1: $tType] : ( ( list(X0) * list(X1) * fun(X1,fun(X0,$o)) ) > $o ) ).

tff(pred_def_610,type,
    sP1593: 
      !>[X0: $tType] : ( ( X0 * fun(X0,X0) ) > $o ) ).

tff(pred_def_611,type,
    sP1594: 
      !>[X0: $tType] : $o ).

tff(pred_def_612,type,
    sP1595: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) ) > $o ) ).

tff(pred_def_613,type,
    sP1596: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) ) > $o ) ).

tff(pred_def_614,type,
    sP1597: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) ) > $o ) ).

tff(pred_def_615,type,
    sP1598: 
      !>[X0: $tType] : $o ).

tff(pred_def_616,type,
    sP1599: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) ) > $o ) ).

tff(pred_def_617,type,
    sP1600: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) * fun(X0,fun(X0,$o)) ) > $o ) ).

tff(pred_def_618,type,
    sP1601: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) * fun(X0,fun(X0,$o)) ) > $o ) ).

tff(pred_def_619,type,
    sP1602: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,$o)) * list(X0) * list(X0) ) > $o ) ).

tff(pred_def_620,type,
    sP1603: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( fun(X2,fun(X1,X0)) * set(product_prod(X2,X2)) * set(X1) ) > $o ) ).

tff(pred_def_621,type,
    sP1604: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,fun(X1,X0)) * set(X1) ) > $o ) ).

tff(pred_def_622,type,
    sP1605: 
      !>[X0: $tType] : ( ( X0 * fun(X0,X0) * fun(X0,$o) ) > $o ) ).

tff(pred_def_623,type,
    sP1606: 
      !>[X0: $tType] : $o ).

tff(pred_def_624,type,
    sP1607: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) * fun(list(X0),fun(list(X0),$o)) ) > $o ) ).

tff(pred_def_625,type,
    sP1608: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) * fun(list(X0),fun(list(X0),$o)) ) > $o ) ).

tff(pred_def_626,type,
    sP1609: 
      !>[X0: $tType] : $o ).

tff(pred_def_627,type,
    sP1610: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) * fun(X0,fun(X0,$o)) * fun(list(X0),fun(list(X0),$o)) ) > $o ) ).

tff(pred_def_628,type,
    sP1611: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) * fun(X0,fun(X0,$o)) * fun(list(X0),fun(list(X0),$o)) ) > $o ) ).

tff(pred_def_629,type,
    sP1612: 
      !>[X0: $tType] : ( ( X0 * X0 * set(product_prod(X0,X0)) * X0 * X0 ) > $o ) ).

tff(pred_def_630,type,
    sP1613: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * X0 * X0 * X0 * X0 ) > $o ) ).

tff(f3,axiom,
    xa = ma,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_2_True) ).

tff(f9,axiom,
    aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),vEBT_VEBT_high(xa,na)),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),treeList)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_8__092_060open_062high_Ax_An_A_060_Alength_AtreeList_092_060close_062) ).

tff(f24,axiom,
    ! [X0: vEBT_VEBT] :
      ( member(vEBT_VEBT,X0,aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),treeList))
     => ( vEBT_invar_vebt(X0,na)
        & ! [X1: nat,X2: nat] :
            ( aa(nat,$o,vEBT_V8194947554948674370ptions(vEBT_vebt_delete(X0,X1)),X2)
          <=> ( ( X1 != X2 )
              & aa(nat,$o,vEBT_V8194947554948674370ptions(X0),X2) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_23__C4_OIH_C_I1_J) ).

tff(f71,axiom,
    ! [X0: $tType,X1: X0,X2: list(X0)] :
      ( member(X0,X1,aa(list(X0),set(X0),set2(X0),X2))
    <=> ? [X3: nat] :
          ( aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X3),aa(list(X0),nat,size_size(list(X0)),X2))
          & ( aa(nat,X0,nth(X0,X2),X3) = X1 ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_70_in__set__conv__nth) ).

tff(f745,axiom,
    ! [X0: nat,X1: nat] : ( vEBT_VEBT_high(X0,X1) = divide_divide(nat,X0,aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),X1)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_744_high__def) ).

tff(f9947,conjecture,
    vEBT_invar_vebt(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,treeList),vEBT_VEBT_high(xa,na)),na),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0) ).

tff(f9948,negated_conjecture,
    ~ vEBT_invar_vebt(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,treeList),vEBT_VEBT_high(xa,na)),na),
    inference(negated_conjecture,[status(cth)],[f9947]) ).

tff(f9949,plain,
    aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),vEBT_VEBT_high(xa,na)),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),treeList)),
    inference(rectify,[],[f9]) ).

tff(f9950,plain,
    aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),vEBT_VEBT_high(xa,na)),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),treeList)) = $true,
    inference(fool_elimination,[],[f9949]) ).

tff(f9965,plain,
    ! [X0: vEBT_VEBT] :
      ( member(vEBT_VEBT,X0,aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),treeList))
     => ( vEBT_invar_vebt(X0,na)
        & ! [X1: nat,X2: nat] :
            ( aa(nat,$o,vEBT_V8194947554948674370ptions(vEBT_vebt_delete(X0,X1)),X2)
          <=> ( ( X1 != X2 )
              & aa(nat,$o,vEBT_V8194947554948674370ptions(X0),X2) ) ) ) ),
    inference(rectify,[],[f24]) ).

tff(f9966,plain,
    ! [X0: vEBT_VEBT] :
      ( member(vEBT_VEBT,X0,aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),treeList))
     => ( vEBT_invar_vebt(X0,na)
        & ! [X1: nat,X2: nat] :
            ( ( aa(nat,$o,vEBT_V8194947554948674370ptions(vEBT_vebt_delete(X0,X1)),X2) = $true )
          <=> ( ( X1 != X2 )
              & ( aa(nat,$o,vEBT_V8194947554948674370ptions(X0),X2) = $true ) ) ) ) ),
    inference(fool_elimination,[],[f9965]) ).

tff(f10048,plain,
    ! [X0: $tType,X1: X0,X2: list(X0)] :
      ( member(X0,X1,aa(list(X0),set(X0),set2(X0),X2))
    <=> ? [X3: nat] :
          ( aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X3),aa(list(X0),nat,size_size(list(X0)),X2))
          & ( aa(nat,X0,nth(X0,X2),X3) = X1 ) ) ),
    inference(rectify,[],[f71]) ).

tff(f10049,plain,
    ! [X0: $tType,X1: X0,X2: list(X0)] :
      ( member(X0,X1,aa(list(X0),set(X0),set2(X0),X2))
    <=> ? [X3: nat] :
          ( ( aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X3),aa(list(X0),nat,size_size(list(X0)),X2)) = $true )
          & ( aa(nat,X0,nth(X0,X2),X3) = X1 ) ) ),
    inference(fool_elimination,[],[f10048]) ).

tff(f24123,plain,
    ~ vEBT_invar_vebt(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,treeList),vEBT_VEBT_high(xa,na)),na),
    inference(flattening,[],[f9948]) ).

tff(f24897,plain,
    ! [X0: vEBT_VEBT] :
      ( ( vEBT_invar_vebt(X0,na)
        & ! [X1: nat,X2: nat] :
            ( ( aa(nat,$o,vEBT_V8194947554948674370ptions(vEBT_vebt_delete(X0,X1)),X2) = $true )
          <=> ( ( X1 != X2 )
              & ( aa(nat,$o,vEBT_V8194947554948674370ptions(X0),X2) = $true ) ) ) )
      | ~ member(vEBT_VEBT,X0,aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),treeList)) ),
    inference(ennf_transformation,[],[f9966]) ).

tff(f34883,plain,
    ! [X0: vEBT_VEBT] :
      ( ( vEBT_invar_vebt(X0,na)
        & ! [X1: nat,X2: nat] :
            ( ( ( aa(nat,$o,vEBT_V8194947554948674370ptions(vEBT_vebt_delete(X0,X1)),X2) = $true )
              | ( X1 = X2 )
              | ( aa(nat,$o,vEBT_V8194947554948674370ptions(X0),X2) != $true ) )
            & ( ( ( X1 != X2 )
                & ( aa(nat,$o,vEBT_V8194947554948674370ptions(X0),X2) = $true ) )
              | ( aa(nat,$o,vEBT_V8194947554948674370ptions(vEBT_vebt_delete(X0,X1)),X2) != $true ) ) ) )
      | ~ member(vEBT_VEBT,X0,aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),treeList)) ),
    inference(nnf_transformation,[],[f24897]) ).

tff(f34884,plain,
    ! [X0: vEBT_VEBT] :
      ( ( vEBT_invar_vebt(X0,na)
        & ! [X1: nat,X2: nat] :
            ( ( ( aa(nat,$o,vEBT_V8194947554948674370ptions(vEBT_vebt_delete(X0,X1)),X2) = $true )
              | ( X1 = X2 )
              | ( aa(nat,$o,vEBT_V8194947554948674370ptions(X0),X2) != $true ) )
            & ( ( ( X1 != X2 )
                & ( aa(nat,$o,vEBT_V8194947554948674370ptions(X0),X2) = $true ) )
              | ( aa(nat,$o,vEBT_V8194947554948674370ptions(vEBT_vebt_delete(X0,X1)),X2) != $true ) ) ) )
      | ~ member(vEBT_VEBT,X0,aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),treeList)) ),
    inference(flattening,[],[f34883]) ).

tff(f34916,plain,
    ! [X0: $tType,X1: X0,X2: list(X0)] :
      ( ( member(X0,X1,aa(list(X0),set(X0),set2(X0),X2))
        | ! [X3: nat] :
            ( ( aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X3),aa(list(X0),nat,size_size(list(X0)),X2)) != $true )
            | ( aa(nat,X0,nth(X0,X2),X3) != X1 ) ) )
      & ( ? [X3: nat] :
            ( ( aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X3),aa(list(X0),nat,size_size(list(X0)),X2)) = $true )
            & ( aa(nat,X0,nth(X0,X2),X3) = X1 ) )
        | ~ member(X0,X1,aa(list(X0),set(X0),set2(X0),X2)) ) ),
    inference(nnf_transformation,[],[f10049]) ).

tff(f34917,plain,
    ! [X0: $tType,X1: X0,X2: list(X0)] :
      ( ( member(X0,X1,aa(list(X0),set(X0),set2(X0),X2))
        | ! [X3: nat] :
            ( ( aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X3),aa(list(X0),nat,size_size(list(X0)),X2)) != $true )
            | ( aa(nat,X0,nth(X0,X2),X3) != X1 ) ) )
      & ( ? [X4: nat] :
            ( ( aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X4),aa(list(X0),nat,size_size(list(X0)),X2)) = $true )
            & ( aa(nat,X0,nth(X0,X2),X4) = X1 ) )
        | ~ member(X0,X1,aa(list(X0),set(X0),set2(X0),X2)) ) ),
    inference(rectify,[],[f34916]) ).

tff(f34918,plain,
    ! [X0: $tType,X1: X0,X2: list(X0)] :
      ( ( member(X0,X1,aa(list(X0),set(X0),set2(X0),X2))
        | ! [X3: nat] :
            ( ( aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X3),aa(list(X0),nat,size_size(list(X0)),X2)) != $true )
            | ( aa(nat,X0,nth(X0,X2),X3) != X1 ) ) )
      & ( ( ( $true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),sK1661(X0,X1,X2)),aa(list(X0),nat,size_size(list(X0)),X2)) )
          & ( aa(nat,X0,nth(X0,X2),sK1661(X0,X1,X2)) = X1 ) )
        | ~ member(X0,X1,aa(list(X0),set(X0),set2(X0),X2)) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK1661]),skolemize(X4,sK1661(X0,X1,X2))],[f34917]) ).

tff(f42786,plain,
    xa = ma,
    inference(cnf_transformation,[],[f3]) ).

tff(f42793,plain,
    aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),vEBT_VEBT_high(xa,na)),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),treeList)) = $true,
    inference(cnf_transformation,[],[f9950]) ).

tff(f42813,plain,
    ! [X0: vEBT_VEBT] :
      ( vEBT_invar_vebt(X0,na)
      | ~ member(vEBT_VEBT,X0,aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),treeList)) ),
    inference(cnf_transformation,[],[f34884]) ).

tff(f42893,plain,
    ! [X0: $tType,X2: list(X0),X3: nat,X1: X0] :
      ( member(X0,X1,aa(list(X0),set(X0),set2(X0),X2))
      | ( aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X3),aa(list(X0),nat,size_size(list(X0)),X2)) != $true )
      | ( aa(nat,X0,nth(X0,X2),X3) != X1 ) ),
    inference(cnf_transformation,[],[f34918]) ).

tff(f44048,plain,
    ! [X0: nat,X1: nat] : ( vEBT_VEBT_high(X0,X1) = divide_divide(nat,X0,aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),X1)) ),
    inference(cnf_transformation,[],[f745]) ).

tff(f59356,plain,
    ~ vEBT_invar_vebt(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,treeList),vEBT_VEBT_high(xa,na)),na),
    inference(cnf_transformation,[],[f24123]) ).

tff(f60163,plain,
    $true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),divide_divide(nat,ma,aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),na))),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),treeList)),
    inference(definition_unfolding,[],[f42793,f44048,f42786]) ).

tff(f63169,plain,
    ~ vEBT_invar_vebt(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,treeList),divide_divide(nat,ma,aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),na))),na),
    inference(definition_unfolding,[],[f59356,f44048,f42786]) ).

tff(f63865,plain,
    ! [X0: $tType,X2: list(X0),X3: nat] :
      ( member(X0,aa(nat,X0,nth(X0,X2),X3),aa(list(X0),set(X0),set2(X0),X2))
      | ( aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X3),aa(list(X0),nat,size_size(list(X0)),X2)) != $true ) ),
    inference(equality_resolution,[],[f42893]) ).

tff(f65885,plain,
    ~ member(vEBT_VEBT,aa(nat,vEBT_VEBT,nth(vEBT_VEBT,treeList),divide_divide(nat,ma,aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),na))),aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),treeList)),
    inference(resolution,[],[f63169,f42813]) ).

tff(f65912,plain,
    $true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),divide_divide(nat,ma,aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),na))),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),treeList)),
    inference(resolution,[],[f65885,f63865]) ).

tff(f66185,plain,
    $false,
    inference(forward_subsumption_resolution,[],[f65912,f60163]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : ITP256_4 : TPTP v9.3.1. Released v8.0.0.
% 0.00/0.06  % Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.39  % Computer : n017.cluster.edu
% 0.11/0.39  % Model    : x86_64 x86_64
% 0.11/0.39  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.39  % Memory   : 8046.5625MB
% 0.11/0.39  % OS       : Linux 6.8.0-71-generic
% 0.11/0.39  % CPULimit : 300
% 0.11/0.39  % WCLimit  : 300
% 0.11/0.39  % DateTime : Sun Sep 27 12:34:35 UTC 2026
% 0.11/0.40  % CPUTime  : 
% 0.11/0.40  Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.44  Running first-order theorem proving
% 0.11/0.44  Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 12.61/3.66  % (2494241)Detected formulas, will run a generic FOF schedule.
% 12.61/3.66  % (2494252)dis-21_1_sil=8000:lcm=predicate:random_seed=3259585429:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2989 on theBenchmark for (2989ds/129Mi)
% 12.61/3.66  % (2494252)Instruction limit reached! 
% 12.61/3.66  % (2494252)------------------------------
% 12.61/3.66  % (2494252)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.61/3.66  % (2494252)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.61/3.66  % (2494252)CaDiCaL version: 2.1.3
% 12.61/3.66  % (2494252)Termination reason: Instruction limit
% 12.61/3.66  % (2494252)Termination phase: Initialization
% 12.61/3.66  % (2494252)Time elapsed: 0.036 s
% 12.61/3.66  % (2494252)Peak memory usage: 101 MB
% 12.61/3.66  % (2494252)Instructions burned: 130 (million)
% 12.61/3.66  % (2494248)lrs+1010_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:prc=on:sos=all:bsr=unit_only:sac=on:random_seed=3791155982:i=141695:sd=1:nm=32:gsp=on:ss=included_2989 on theBenchmark for (2989ds/141695Mi)
% 12.61/3.66  % (2494249)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1744479800:i=109:sd=1:ins=1:gsp=on:ss=axioms_2989 on theBenchmark for (2989ds/109Mi)
% 12.61/3.66  % (2494250)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2071198869:i=119:av=off:ss=axioms_2989 on theBenchmark for (2989ds/119Mi)
% 12.61/3.66  % (2494246)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=3025895069:i=141193_2989 on theBenchmark for (2989ds/141193Mi)
% 12.61/3.66  % (2494247)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=1349437373:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2989 on theBenchmark for (2989ds/134677Mi)
% 12.61/3.66  % (2494251)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3125234534:s2a=on:i=139:gtg=position_2989 on theBenchmark for (2989ds/139Mi)
% 12.61/3.66  % (2494249)Instruction limit reached! 
% 12.61/3.66  % (2494249)------------------------------
% 12.61/3.66  % (2494249)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.61/3.66  % (2494249)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.61/3.66  % (2494249)CaDiCaL version: 2.1.3
% 12.61/3.66  % (2494249)Termination reason: Instruction limit
% 12.61/3.66  % (2494249)Termination phase: Initialization
% 12.61/3.66  % (2494249)Time elapsed: 0.055 s
% 12.61/3.66  % (2494249)Peak memory usage: 100 MB
% 12.61/3.66  % (2494249)Instructions burned: 111 (million)
% 12.61/3.66  % (2494250)Instruction limit reached! 
% 12.61/3.66  % (2494250)------------------------------
% 12.61/3.66  % (2494250)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.61/3.66  % (2494250)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.61/3.66  % (2494250)CaDiCaL version: 2.1.3
% 12.61/3.66  % (2494250)Termination reason: Instruction limit
% 12.61/3.66  % (2494250)Termination phase: Initialization
% 12.61/3.66  % (2494250)Time elapsed: 0.059 s
% 12.61/3.66  % (2494250)Peak memory usage: 100 MB
% 12.61/3.66  % (2494250)Instructions burned: 119 (million)
% 12.61/3.66  % (2494251)Instruction limit reached! 
% 12.61/3.66  % (2494251)------------------------------
% 12.61/3.66  % (2494251)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.61/3.66  % (2494251)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.61/3.66  % (2494251)CaDiCaL version: 2.1.3
% 12.61/3.66  % (2494251)Termination reason: Instruction limit
% 12.61/3.66  % (2494251)Termination phase: Property scanning
% 12.61/3.66  % (2494251)Time elapsed: 0.056 s
% 12.61/3.66  % (2494251)Peak memory usage: 96 MB
% 12.61/3.66  % (2494251)Instructions burned: 140 (million)
% 12.61/3.66  % (2494258)lrs+10_1_sil=8000:sp=occurrence:random_seed=699208843:i=285:sd=3:ss=axioms:sgt=8_2987 on theBenchmark for (2987ds/285Mi)
% 12.61/3.66  % (2494258)Instruction limit reached! 
% 12.61/3.66  % (2494258)------------------------------
% 12.61/3.66  % (2494258)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.61/3.66  % (2494258)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.61/3.66  % (2494258)CaDiCaL version: 2.1.3
% 12.61/3.66  % (2494258)Termination reason: Instruction limit
% 12.61/3.66  % (2494258)Termination phase: Initialization
% 12.61/3.66  % (2494258)Time elapsed: 0.076 s
% 12.61/3.66  % (2494258)Peak memory usage: 104 MB
% 12.61/3.66  % (2494258)Instructions burned: 288 (million)
% 16.76/4.14  % (2494261)lrs+10_1_sil=32000:urr=on:br=off:random_seed=2384850929:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2986 on theBenchmark for (2986ds/157Mi)
% 16.76/4.14  % (2494262)lrs+1011_1_sil=32000:sp=occurrence:random_seed=3740080910:i=325:sd=1:ss=axioms:sgt=32_2986 on theBenchmark for (2986ds/325Mi)
% 16.76/4.14  % (2494263)dis+10_5:1_slsqr=1,4:sil=8000:fde=unused:erd=off:urr=full:fd=off:s2agt=8:br=off:slsq=on:random_seed=1595553789:s2a=on:i=248:s2at=1.23:gtg=position_2986 on theBenchmark for (2986ds/248Mi)
% 16.76/4.14  % (2494261)Instruction limit reached! 
% 16.76/4.14  % (2494261)------------------------------
% 16.76/4.14  % (2494261)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.76/4.14  % (2494261)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.76/4.14  % (2494261)CaDiCaL version: 2.1.3
% 16.76/4.14  % (2494261)Termination reason: Instruction limit
% 16.76/4.14  % (2494261)Termination phase: Property scanning
% 16.76/4.14  % (2494261)Time elapsed: 0.064 s
% 16.76/4.14  % (2494261)Peak memory usage: 96 MB
% 16.76/4.14  % (2494261)Instructions burned: 159 (million)
% 16.76/4.14  % (2494266)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=324603602:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2985 on theBenchmark for (2985ds/294Mi)
% 16.76/4.14  % (2494263)Instruction limit reached! 
% 16.76/4.14  % (2494263)------------------------------
% 16.76/4.14  % (2494263)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.76/4.14  % (2494263)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.76/4.14  % (2494263)CaDiCaL version: 2.1.3
% 16.76/4.14  % (2494263)Termination reason: Instruction limit
% 16.76/4.14  % (2494263)Termination phase: Property scanning
% 16.76/4.14  % (2494263)Time elapsed: 0.101 s
% 16.76/4.14  % (2494263)Peak memory usage: 96 MB
% 16.76/4.14  % (2494263)Instructions burned: 249 (million)
% 16.76/4.14  % (2494262)Instruction limit reached! 
% 16.76/4.14  % (2494262)------------------------------
% 16.76/4.14  % (2494262)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.76/4.14  % (2494262)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.76/4.14  % (2494262)CaDiCaL version: 2.1.3
% 16.76/4.14  % (2494262)Termination reason: Instruction limit
% 16.76/4.14  % (2494262)Termination phase: Initialization
% 16.76/4.14  % (2494262)Time elapsed: 0.159 s
% 16.76/4.14  % (2494262)Peak memory usage: 105 MB
% 16.76/4.14  % (2494262)Instructions burned: 326 (million)
% 16.76/4.14  % (2494266)Instruction limit reached! 
% 16.76/4.14  % (2494266)------------------------------
% 16.76/4.14  % (2494266)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.76/4.14  % (2494266)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.76/4.14  % (2494266)CaDiCaL version: 2.1.3
% 16.76/4.14  % (2494266)Termination reason: Instruction limit
% 16.76/4.14  % (2494266)Termination phase: Initialization
% 16.76/4.14  % (2494266)Time elapsed: 0.078 s
% 16.76/4.14  % (2494266)Peak memory usage: 104 MB
% 16.76/4.14  % (2494266)Instructions burned: 295 (million)
% 16.76/4.14  % (2494269)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=3628552863:i=2350_2984 on theBenchmark for (2984ds/2350Mi)
% 16.76/4.14  % (2494274)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=4180231449:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2983 on theBenchmark for (2983ds/114Mi)
% 16.76/4.14  % (2494271)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=3923995505:cts=off:i=113:fsr=off:ss=included:sgt=4_2984 on theBenchmark for (2984ds/113Mi)
% 16.76/4.14  % (2494274)Instruction limit reached! 
% 16.76/4.14  % (2494274)------------------------------
% 16.76/4.14  % (2494274)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.76/4.14  % (2494274)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.76/4.14  % (2494274)CaDiCaL version: 2.1.3
% 16.76/4.14  % (2494274)Termination reason: Instruction limit
% 16.76/4.14  % (2494274)Termination phase: Property scanning
% 16.76/4.14  % (2494274)Time elapsed: 0.025 s
% 16.76/4.14  % (2494274)Peak memory usage: 96 MB
% 16.76/4.14  % (2494274)Instructions burned: 116 (million)
% 16.76/4.14  % (2494273)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=4173722961:i=127:av=off:fsr=off:sup=off_2983 on theBenchmark for (2983ds/127Mi)
% 16.76/4.14  % (2494271)Instruction limit reached! 
% 16.76/4.14  % (2494271)------------------------------
% 16.76/4.14  % (2494271)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.86/4.77  % (2494271)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.86/4.77  % (2494271)CaDiCaL version: 2.1.3
% 18.86/4.77  % (2494271)Termination reason: Instruction limit
% 18.86/4.77  % (2494271)Termination phase: Initialization
% 18.86/4.77  % (2494271)Time elapsed: 0.058 s
% 18.86/4.77  % (2494271)Peak memory usage: 100 MB
% 18.86/4.77  % (2494271)Instructions burned: 115 (million)
% 18.86/4.77  % (2494273)Instruction limit reached! 
% 18.86/4.77  % (2494273)------------------------------
% 18.86/4.77  % (2494273)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.86/4.77  % (2494273)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.86/4.77  % (2494273)CaDiCaL version: 2.1.3
% 18.86/4.77  % (2494273)Termination reason: Instruction limit
% 18.86/4.77  % (2494273)Termination phase: Initialization
% 18.86/4.77  % (2494273)Time elapsed: 0.065 s
% 18.86/4.77  % (2494273)Peak memory usage: 100 MB
% 18.86/4.77  % (2494273)Instructions burned: 127 (million)
% 18.86/4.77  % (2494278)lrs+10_1_sil=8000:sp=occurrence:random_seed=4188528699:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2982 on theBenchmark for (2982ds/907Mi)
% 18.86/4.77  % (2494280)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=2781849926:i=437:sd=1:aac=none:ss=included_2981 on theBenchmark for (2981ds/437Mi)
% 18.86/4.77  % (2494281)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=3323837884:i=5202:ss=axioms:sgt=16_2981 on theBenchmark for (2981ds/5202Mi)
% 18.86/4.77  % (2494278)Instruction limit reached! 
% 18.86/4.77  % (2494278)------------------------------
% 18.86/4.77  % (2494278)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.86/4.77  % (2494278)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.86/4.77  % (2494278)CaDiCaL version: 2.1.3
% 18.86/4.77  % (2494278)Termination reason: Instruction limit
% 18.86/4.77  % (2494278)Termination phase: SInE selection
% 18.86/4.77  % (2494278)Time elapsed: 0.236 s
% 18.86/4.77  % (2494278)Peak memory usage: 109 MB
% 18.86/4.77  % (2494278)Instructions burned: 908 (million)
% 18.86/4.77  % (2494280)Instruction limit reached! 
% 18.86/4.77  % (2494280)------------------------------
% 18.86/4.77  % (2494280)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.86/4.77  % (2494280)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.86/4.77  % (2494280)CaDiCaL version: 2.1.3
% 18.86/4.77  % (2494280)Termination reason: Instruction limit
% 18.86/4.77  % (2494280)Termination phase: Initialization
% 18.86/4.77  % (2494280)Time elapsed: 0.212 s
% 18.86/4.77  % (2494280)Peak memory usage: 107 MB
% 18.86/4.77  % (2494280)Instructions burned: 437 (million)
% 18.86/4.77  % (2494285)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=4077316062:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2978 on theBenchmark for (2978ds/134Mi)
% 18.86/4.77  % (2494285)Instruction limit reached! 
% 18.86/4.77  % (2494285)------------------------------
% 18.86/4.77  % (2494285)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.86/4.77  % (2494285)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.86/4.77  % (2494285)CaDiCaL version: 2.1.3
% 18.86/4.77  % (2494285)Termination reason: Instruction limit
% 18.86/4.77  % (2494285)Termination phase: Preprocessing 1
% 18.86/4.77  % (2494285)Time elapsed: 0.047 s
% 18.86/4.77  % (2494285)Peak memory usage: 97 MB
% 18.86/4.77  % (2494285)Instructions burned: 134 (million)
% 18.86/4.77  % (2494286)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=1610576673:st=8:i=592:sd=3:ep=RST:ss=axioms_2978 on theBenchmark for (2978ds/592Mi)
% 18.86/4.77  % (2494288)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=1092667109:st=3:i=13193:sd=3:ss=axioms_2977 on theBenchmark for (2977ds/13193Mi)
% 18.86/4.77  % (2494286)Instruction limit reached! 
% 18.86/4.77  % (2494286)------------------------------
% 18.86/4.77  % (2494286)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.86/4.77  % (2494286)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.86/4.77  % (2494286)CaDiCaL version: 2.1.3
% 18.86/4.77  % (2494286)Termination reason: Instruction limit
% 18.86/4.77  % (2494286)Termination phase: Property scanning
% 18.86/4.77  % (2494286)Time elapsed: 0.278 s
% 18.86/4.77  % (2494286)Peak memory usage: 108 MB
% 18.86/4.77  % (2494286)Instructions burned: 596 (million)
% 18.86/4.77  % (2494248)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 18.86/4.77  % (2494291)lrs+1666_7_slsqr=4,1:sil=8000:plsq=on:plsqc=1:sos=on:urr=on:plsql=on:rp=on:alpa=false:sac=on:slsq=on:random_seed=1853995621:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2973 on theBenchmark for (2973ds/125Mi)
% 32.16/6.38  % (2494269)Instruction limit reached! 
% 32.16/6.38  % (2494269)------------------------------
% 32.16/6.38  % (2494269)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 32.16/6.38  % (2494269)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 32.16/6.38  % (2494269)CaDiCaL version: 2.1.3
% 32.16/6.38  % (2494269)Termination reason: Instruction limit
% 32.16/6.38  % (2494269)Termination phase: Property scanning
% 32.16/6.38  % (2494269)Time elapsed: 1.165 s
% 32.16/6.38  % (2494269)Peak memory usage: 130 MB
% 32.16/6.38  % (2494269)Instructions burned: 2350 (million)
% 32.16/6.38  % (2494291)Instruction limit reached! 
% 32.16/6.38  % (2494291)------------------------------
% 32.16/6.38  % (2494291)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 32.16/6.38  % (2494291)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 32.16/6.38  % (2494291)CaDiCaL version: 2.1.3
% 32.16/6.38  % (2494291)Termination reason: Instruction limit
% 32.16/6.38  % (2494291)Termination phase: Property scanning
% 32.16/6.38  % (2494291)Time elapsed: 0.050 s
% 32.16/6.38  % (2494291)Peak memory usage: 96 MB
% 32.16/6.38  % (2494291)Instructions burned: 127 (million)
% 32.16/6.38  % Exception at run slice level
% 32.16/6.38  User error: GNN currently only supports monomorphic FOL.
% 32.16/6.38  % (2494293)lrs+10_1024_to=lpo:sil=8000:tgt=full:sp=arity:slsq=on:random_seed=2032416534:i=134:gtgl=5:slsql=off:gtg=exists_sym_2971 on theBenchmark for (2971ds/134Mi)
% 32.16/6.38  % (2494294)lrs+10_1_sil=16000:plsq=on:plsqc=1:plsqr=32,1:sos=on:lcm=reverse:fd=off:newcnf=on:random_seed=2119522269:i=141:sd=1:gsp=on:sup=off:ss=axioms:sgt=8_2971 on theBenchmark for (2971ds/141Mi)
% 32.16/6.38  % (2494293)Instruction limit reached! 
% 32.16/6.38  % (2494293)------------------------------
% 32.16/6.38  % (2494293)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 32.16/6.38  % (2494293)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 32.16/6.38  % (2494293)CaDiCaL version: 2.1.3
% 32.16/6.38  % (2494293)Termination reason: Instruction limit
% 32.16/6.38  % (2494293)Termination phase: Property scanning
% 32.16/6.38  % (2494293)Time elapsed: 0.054 s
% 32.16/6.38  % (2494293)Peak memory usage: 96 MB
% 32.16/6.38  % (2494293)Instructions burned: 135 (million)
% 32.16/6.38  % (2494294)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 32.16/6.38  % (2494294)Refutation not found, incomplete strategy
% 32.16/6.38  % (2494294)------------------------------
% 32.16/6.38  % (2494294)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 32.16/6.38  % (2494294)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 32.16/6.38  % (2494294)CaDiCaL version: 2.1.3
% 32.16/6.38  % (2494294)Termination reason: Refutation not found, incomplete strategy
% 32.16/6.38  % (2494294)Time elapsed: 0.090 s
% 32.16/6.38  % (2494294)Peak memory usage: 101 MB
% 32.16/6.38  % (2494294)Instructions burned: 141 (million)
% 32.16/6.38  % Exception at run slice level
% 32.16/6.38  User error: GNN currently only supports monomorphic FOL.
% 32.16/6.38  % Exception at run slice level
% 32.16/6.38  User error: GNN currently only supports monomorphic FOL.
% 32.16/6.38  % (2494295)lrs+1011_1_sil=8000:plsq=on:sp=occurrence:fs=off:random_seed=3508380676:i=431:sd=1:fsr=off:sup=off:ss=axioms:sgt=64_2970 on theBenchmark for (2970ds/431Mi)
% 32.16/6.38  % (2494298)lrs+1010_1_ncem=casc2026/models/loop6.pt:sil=64000:tgt=full:npcc=on:prc=on:urr=ec_only:bsr=on:fd=preordered:gs=on:sac=on:newcnf=on:random_seed=1300291890:i=6060:aac=none:ins=25_2969 on theBenchmark for (2969ds/6060Mi)
% 32.16/6.38  % (2494299)lrs+10_16_anc=all:slsqr=32,1:sil=8000:avsql=on:sp=unary_frequency:lcm=predicate:urr=full:rp=on:br=off:slsqc=4:flr=on:sac=on:slsq=on:avsqc=1:random_seed=2363432648:avsq=on:s2a=on:i=150:kws=precedence:nicw=on:gsp=on:rawr=on_2968 on theBenchmark for (2968ds/150Mi)
% 32.16/6.38  % (2494299)Instruction limit reached! 
% 32.16/6.38  % (2494299)------------------------------
% 32.16/6.38  % (2494299)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 32.16/6.38  % (2494299)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 32.16/6.38  % (2494299)CaDiCaL version: 2.1.3
% 32.16/6.38  % (2494299)Termination reason: Instruction limit
% 32.16/6.38  % (2494299)Termination phase: Initialization
% 32.64/6.43  % (2494299)Time elapsed: 0.040 s
% 32.64/6.43  % (2494299)Peak memory usage: 101 MB
% 32.64/6.43  % (2494299)Instructions burned: 150 (million)
% 32.64/6.43  % (2494301)lrs+1010_1_ncem=casc2026/models/loop8.pt:sil=64000:tgt=ground:npcc=on:sp=arity:urr=on:random_seed=1368568567:i=14155:bd=all_2968 on theBenchmark for (2968ds/14155Mi)
% 32.64/6.43  % Exception at run slice level
% 32.64/6.43  User error: GNN currently only supports monomorphic FOL.
% 32.64/6.43  % (2494294)------------------------------
% 32.64/6.43  % (2494294)------------------------------
% 32.64/6.43  % (2494295)Instruction limit reached! 
% 32.64/6.43  % (2494295)------------------------------
% 32.64/6.43  % (2494295)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 32.64/6.43  % (2494295)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 32.64/6.43  % (2494295)CaDiCaL version: 2.1.3
% 32.64/6.43  % (2494295)Termination reason: Instruction limit
% 32.64/6.43  % (2494295)Termination phase: Initialization
% 32.64/6.43  % (2494295)Time elapsed: 0.211 s
% 32.64/6.43  % (2494295)Peak memory usage: 107 MB
% 32.64/6.43  % (2494295)Instructions burned: 431 (million)
% 32.64/6.43  % (2494304)lrs+10_1024_sil=16000:plsq=on:plsqr=32,1:sos=all:fs=off:gs=on:newcnf=on:random_seed=525007940:i=667:av=off:fsr=off_2967 on theBenchmark for (2967ds/667Mi)
% 32.64/6.43  % (2494307)dis+1010_14_anc=all:to=lpo:sil=8000:sp=arity:slsq=on:random_seed=1484069820:i=193:ins=10:fsr=off:ss=axioms:fsd=on_2966 on theBenchmark for (2966ds/193Mi)
% 32.64/6.43  % (2494308)dis+1011_7_sil=8000:sp=occurrence:sos=all:fd=off:random_seed=4132830004:st=5.3:i=4850:sd=4:av=off:sup=off:ss=included:sgt=16_2966 on theBenchmark for (2966ds/4850Mi)
% 32.64/6.43  % (2494306)ott-1011_3:1_anc=all_dependent:to=lpo:sil=8000:drc=ordering:sas=cadical:fdtod=off:sp=reverse_frequency:spb=goal_then_units:urr=full:lftc=20:newcnf=on:random_seed=3887606958:s2a=on:i=185:s2at=1.8:fdi=4_2966 on theBenchmark for (2966ds/185Mi)
% 32.64/6.43  % (2494304)Instruction limit reached! 
% 32.64/6.43  % (2494304)------------------------------
% 32.64/6.43  % (2494304)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 32.64/6.43  % (2494304)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 32.64/6.43  % (2494304)CaDiCaL version: 2.1.3
% 32.64/6.43  % (2494304)Termination reason: Instruction limit
% 32.64/6.43  % (2494304)Termination phase: NewCNF
% 32.64/6.43  % (2494304)Time elapsed: 0.179 s
% 32.64/6.43  % (2494304)Peak memory usage: 115 MB
% 32.64/6.43  % (2494304)Instructions burned: 668 (million)
% 32.64/6.43  % (2494307)Instruction limit reached! 
% 32.64/6.43  % (2494307)------------------------------
% 32.64/6.43  % (2494307)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 32.64/6.43  % (2494307)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 32.64/6.43  % (2494307)CaDiCaL version: 2.1.3
% 32.64/6.43  % (2494307)Termination reason: Instruction limit
% 32.64/6.43  % (2494307)Termination phase: Initialization
% 32.64/6.43  % (2494307)Time elapsed: 0.092 s
% 32.64/6.43  % (2494307)Peak memory usage: 102 MB
% 32.64/6.43  % (2494307)Instructions burned: 193 (million)
% 32.64/6.43  % (2494306)Instruction limit reached! 
% 32.64/6.43  % (2494306)------------------------------
% 32.64/6.43  % (2494306)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 32.64/6.43  % (2494306)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 32.64/6.43  % (2494306)CaDiCaL version: 2.1.3
% 32.64/6.43  % (2494306)Termination reason: Instruction limit
% 32.64/6.43  % (2494306)Termination phase: SInE selection
% 32.64/6.43  % (2494306)Time elapsed: 0.102 s
% 32.64/6.43  % (2494306)Peak memory usage: 96 MB
% 32.64/6.43  % (2494306)Instructions burned: 187 (million)
% 32.64/6.43  % Exception at run slice level
% 32.64/6.43  User error: GNN currently only supports monomorphic FOL.
% 32.64/6.43  % (2494313)lrs+1011_1_ncem=casc2026/models/loop8.pt:sil=32000:tgt=ground:npcc=on:sp=const_frequency:acc=on:urr=on:random_seed=743756671:i=12111:sd=1:ss=included_2964 on theBenchmark for (2964ds/12111Mi)
% 32.64/6.43  % (2494314)lrs-11_32_anc=all:sil=8000:spb=goal_then_units:sac=on:random_seed=3134625341:i=319:kws=precedence:fsr=off_2964 on theBenchmark for (2964ds/319Mi)
% 32.64/6.43  % (2494315)dis+2_1024_sil=8000:sp=reverse_arity:sos=on:lcm=reverse:sac=on:random_seed=1724890546:i=2064:ep=RST_2964 on theBenchmark for (2964ds/2064Mi)
% 32.64/6.43  % (2494316)dis-1011_128_sil=32000:random_seed=3126402248:i=3706:ep=RST:av=off_2963 on theBenchmark for (2963ds/3706Mi)
% 32.64/6.43  % (2494314)Instruction limit reached! 
% 32.64/6.43  % (2494314)------------------------------
% 32.64/6.43  % (2494314)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 32.64/6.43  % (2494314)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 32.64/6.43  % (2494314)CaDiCaL version: 2.1.3
% 32.64/6.43  % (2494314)Termination reason: Instruction limit
% 32.64/6.43  % (2494314)Termination phase: Initialization
% 32.64/6.43  % (2494314)Time elapsed: 0.154 s
% 32.64/6.43  % (2494314)Peak memory usage: 105 MB
% 32.64/6.43  % (2494314)Instructions burned: 320 (million)
% 32.64/6.43  % (2494321)lrs-1002_1_sil=8000:plsq=on:plsqr=32,1:sp=occurrence:sos=on:fs=off:gs=on:newcnf=on:random_seed=3019189284:i=757:sd=2:fsr=off:ss=axioms:sgt=40_2961 on theBenchmark for (2961ds/757Mi)
% 32.64/6.43  % (2494321)Instruction limit reached! 
% 32.64/6.43  % (2494321)------------------------------
% 32.64/6.43  % (2494321)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 32.64/6.43  % (2494321)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 32.64/6.43  % (2494321)CaDiCaL version: 2.1.3
% 32.64/6.43  % (2494321)Termination reason: Instruction limit
% 32.64/6.43  % (2494321)Termination phase: Property scanning
% 32.64/6.43  % (2494321)Time elapsed: 0.339 s
% 32.64/6.43  % (2494321)Peak memory usage: 106 MB
% 32.64/6.43  % (2494321)Instructions burned: 758 (million)
% 32.64/6.43  % (2494323)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=64000:npcc=on:sp=occurrence:random_seed=659153470:i=13913:ss=axioms:sgt=8_2955 on theBenchmark for (2955ds/13913Mi)
% 32.64/6.43  % Exception at run slice level
% 32.64/6.43  User error: GNN currently only supports monomorphic FOL.
% 32.64/6.43  % (2494315)Instruction limit reached! 
% 32.64/6.43  % (2494315)------------------------------
% 32.64/6.43  % (2494315)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 32.64/6.43  % (2494315)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 32.64/6.43  % (2494315)CaDiCaL version: 2.1.3
% 32.64/6.43  % (2494315)Termination reason: Instruction limit
% 32.64/6.43  % (2494315)Termination phase: Function definition elimination
% 32.64/6.43  % (2494315)Time elapsed: 0.986 s
% 32.64/6.43  % (2494315)Peak memory usage: 127 MB
% 32.64/6.43  % (2494315)Instructions burned: 2066 (million)
% 32.64/6.43  % (2494325)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:sp=const_frequency:sos=all:lma=off:random_seed=590953159:i=9925:aac=none_2953 on theBenchmark for (2953ds/9925Mi)
% 32.64/6.43  % (2494326)dis-1010_50_to=lpo:sil=32000:sp=arity:sos=on:spb=goal_then_units:urr=ec_only:slsq=on:random_seed=1455792156:i=2479:sd=2:nm=16:fsr=off:ss=axioms_2952 on theBenchmark for (2952ds/2479Mi)
% 32.64/6.43  % Exception at run slice level
% 32.64/6.43  User error: GNN currently only supports monomorphic FOL.
% 32.64/6.43  % (2494329)ott+1002_64_sil=16000:sp=const_min:nwc=0.5:random_seed=811061258:i=440:nm=2:av=off:gtg=exists_all:fdi=8:gsp=on_2949 on theBenchmark for (2949ds/440Mi)
% 32.64/6.43  % (2494308)First to succeed.
% 32.64/6.43  % (2494308)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2494241"
% 32.64/6.43  % Exception at run slice level
% 32.64/6.43  User error: GNN currently only supports monomorphic FOL.
% 32.64/6.43  % (2494329)Instruction limit reached! 
% 32.64/6.43  % (2494329)------------------------------
% 32.64/6.43  % (2494329)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 32.64/6.43  % (2494329)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 32.64/6.43  % (2494329)CaDiCaL version: 2.1.3
% 32.64/6.43  % (2494329)Termination reason: Instruction limit
% 32.64/6.43  % (2494329)Termination phase: Property scanning
% 32.64/6.43  % (2494329)Time elapsed: 0.182 s
% 32.64/6.43  % (2494329)Peak memory usage: 96 MB
% 32.64/6.43  % (2494329)Instructions burned: 440 (million)
% 32.64/6.43  % (2494316)Instruction limit reached! 
% 32.64/6.43  % (2494316)------------------------------
% 32.64/6.43  % (2494316)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 32.64/6.43  % (2494316)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 32.64/6.43  % (2494316)CaDiCaL version: 2.1.3
% 32.64/6.43  % (2494316)Termination reason: Instruction limit
% 32.64/6.43  % (2494316)Termination phase: Saturation
% 32.64/6.43  % (2494316)Time elapsed: 1.702 s
% 32.64/6.43  % (2494316)Peak memory usage: 139 MB
% 32.64/6.43  % (2494316)Instructions burned: 3706 (million)
% 32.64/6.43  % (2494331)dis-1011_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:erd=off:lsd=100:bsr=unit_only:random_seed=276646521:st=1.5:i=11145:s2at=3:sd=3:fsr=off:ss=axioms_2946 on theBenchmark for (2946ds/11145Mi)
% 32.64/6.43  % (2494332)lrs+1002_1_to=lpo:ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:sp=unary_frequency:lcm=reverse:urr=on:bsr=on:random_seed=4027963242:cts=off:i=3034:av=off:er=known:fsd=on_2946 on theBenchmark for (2946ds/3034Mi)
% 32.64/6.43  % (2494308)Refutation found. Thanks to Tanya!
% 32.64/6.43  % SZS status Theorem for theBenchmark
% 32.64/6.43  % SZS output start Proof for theBenchmark
% See solution above
% 33.35/6.64  % (2494308)------------------------------
% 33.35/6.64  % (2494308)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 33.35/6.64  % (2494308)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 33.35/6.64  % (2494308)CaDiCaL version: 2.1.3
% 33.35/6.64  % (2494308)Termination reason: Refutation
% 33.35/6.64  % (2494308)Time elapsed: 1.753 s
% 33.35/6.64  % (2494308)Peak memory usage: 149 MB
% 33.35/6.64  % (2494308)Instructions burned: 3602 (million)
% 33.35/6.64  % (2494308)------------------------------
% 33.35/6.64  % (2494308)------------------------------
% 33.35/6.64  % (2494241)Success in time 5.567 s
% 33.35/6.64  % Vampire exiting
%------------------------------------------------------------------------------