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

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---5.0.1
% Problem  : ITP270_4 : TPTP v9.3.1. Bugfixed v9.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT

% Computer : n002.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Tue Sep 29 11:38:42 AM UTC 2026

% Result   : ContradictoryAxioms 167.80s 28.90s
% Output   : Refutation 167.80s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   31 (  13 unt;   0 typ;   0 def)
%            Number of atoms       :   60 (  12 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   67 (  32   ~;  23   |;   4   &)
%                                         (   1 <=>;   7  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   4 avg)
%            Maximal term depth    :    6 (   2 avg)
%            Number of FOOLs       :   13 (  13 fml;   0 var)
%            Number of types       :   14 (  13 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of predicates  : 1993 (1990 usr;   2 prp; 0-9 aty)
%            Number of functors    : 4592 (4592 usr; 355 con; 0-8 aty)
%            Number of variables   :   56 (  48   !;   8   ?;  56   :)

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

tff(func_def_818,type,
    aTP_Lamp_zx: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_819,type,
    aTP_Lamp_zy: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_820,type,
    aTP_Lamp_zz: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_821,type,
    archimedean_ceiling: 
      !>[X0: $tType] : ( X0 > int ) ).

tff(func_def_822,type,
    archim6421214686448440834_floor: 
      !>[X0: $tType] : ( X0 > int ) ).

tff(func_def_823,type,
    archimedean_frac: 
      !>[X0: $tType] : ( X0 > X0 ) ).

tff(func_def_824,type,
    archimedean_round: 
      !>[X0: $tType] : ( X0 > int ) ).

tff(func_def_825,type,
    bNF_Ca8665028551170535155natLeq: set(product_prod(nat,nat)) ).

tff(func_def_826,type,
    bNF_Ca8459412986667044542atLess: set(product_prod(nat,nat)) ).

tff(func_def_827,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_828,type,
    basic_BNF_size_prod: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,nat) * fun(X1,nat) * product_prod(X0,X1) ) > nat ) ).

tff(func_def_829,type,
    binomial: nat > fun(nat,nat) ).

tff(func_def_830,type,
    gbinomial: 
      !>[X0: $tType] : ( X0 > fun(nat,X0) ) ).

tff(func_def_831,type,
    bit_and_int_rel: fun(product_prod(int,int),fun(product_prod(int,int),$o)) ).

tff(func_def_832,type,
    bit_and_not_num: ( num * num ) > option(num) ).

tff(func_def_833,type,
    bit_and_not_num_rel: fun(product_prod(num,num),fun(product_prod(num,num),$o)) ).

tff(func_def_834,type,
    bit_concat_bit: ( nat * int ) > fun(int,int) ).

tff(func_def_835,type,
    bit_or_not_num_neg: ( num * num ) > num ).

tff(func_def_836,type,
    bit_or3848514188828904588eg_rel: fun(product_prod(num,num),fun(product_prod(num,num),$o)) ).

tff(func_def_837,type,
    bit_ri4277139882892585799ns_not: 
      !>[X0: $tType] : fun(X0,X0) ).

tff(func_def_838,type,
    bit_ri4674362597316999326ke_bit: 
      !>[X0: $tType] : ( nat > fun(X0,X0) ) ).

tff(func_def_839,type,
    bit_se5824344872417868541ns_and: 
      !>[X0: $tType] : fun(X0,fun(X0,X0)) ).

tff(func_def_840,type,
    bit_se4197421643247451524op_bit: 
      !>[X0: $tType] : ( nat > fun(X0,X0) ) ).

tff(func_def_841,type,
    bit_se8732182000553998342ip_bit: 
      !>[X0: $tType] : ( ( nat * X0 ) > X0 ) ).

tff(func_def_842,type,
    bit_se2239418461657761734s_mask: 
      !>[X0: $tType] : ( nat > X0 ) ).

tff(func_def_843,type,
    bit_se1065995026697491101ons_or: 
      !>[X0: $tType] : fun(X0,fun(X0,X0)) ).

tff(func_def_844,type,
    bit_se4730199178511100633sh_bit: 
      !>[X0: $tType] : ( nat > fun(X0,X0) ) ).

tff(func_def_845,type,
    bit_se5668285175392031749et_bit: 
      !>[X0: $tType] : fun(nat,fun(X0,X0)) ).

tff(func_def_846,type,
    bit_se2584673776208193580ke_bit: 
      !>[X0: $tType] : ( nat > fun(X0,X0) ) ).

tff(func_def_847,type,
    bit_se2638667681897837118et_bit: 
      !>[X0: $tType] : fun(nat,fun(X0,X0)) ).

tff(func_def_848,type,
    bit_se5824344971392196577ns_xor: 
      !>[X0: $tType] : fun(X0,fun(X0,X0)) ).

tff(func_def_849,type,
    bit_se5641148757651400278ts_bit: 
      !>[X0: $tType] : ( X0 > fun(nat,$o) ) ).

tff(func_def_850,type,
    bit_take_bit_num: ( nat * num ) > option(num) ).

tff(func_def_851,type,
    bit_un1837492267222099188nd_num: fun(num,fun(num,option(num))) ).

tff(func_def_852,type,
    bit_un5425074673868309765um_rel: fun(product_prod(num,num),fun(product_prod(num,num),$o)) ).

tff(func_def_853,type,
    bit_un2785000775030745342or_num: fun(num,fun(num,num)) ).

tff(func_def_854,type,
    bit_un6909899581280750971um_rel: fun(product_prod(num,num),fun(product_prod(num,num),$o)) ).

tff(func_def_855,type,
    bit_un6178654185764691216or_num: fun(num,fun(num,option(num))) ).

tff(func_def_856,type,
    bit_un3595099601533988841um_rel: fun(product_prod(num,num),fun(product_prod(num,num),$o)) ).

tff(func_def_857,type,
    bit_un7362597486090784418nd_num: fun(num,fun(num,option(num))) ).

tff(func_def_858,type,
    bit_un4731106466462545111um_rel: fun(product_prod(num,num),fun(product_prod(num,num),$o)) ).

tff(func_def_859,type,
    bit_un6697907153464112080or_num: fun(num,fun(num,num)) ).

tff(func_def_860,type,
    bit_un4773296044027857193um_rel: fun(product_prod(num,num),fun(product_prod(num,num),$o)) ).

tff(func_def_861,type,
    bit_un2480387367778600638or_num: fun(num,fun(num,option(num))) ).

tff(func_def_862,type,
    bit_un2901131394128224187um_rel: fun(product_prod(num,num),fun(product_prod(num,num),$o)) ).

tff(func_def_863,type,
    code_Neg: num > code_integer ).

tff(func_def_864,type,
    code_Pos: num > code_integer ).

tff(func_def_865,type,
    code_bit_cut_integer: code_integer > product_prod(code_integer,$o) ).

tff(func_def_866,type,
    code_divmod_abs: ( code_integer * code_integer ) > product_prod(code_integer,code_integer) ).

tff(func_def_867,type,
    code_divmod_integer: ( code_integer * code_integer ) > product_prod(code_integer,code_integer) ).

tff(func_def_868,type,
    code_dup: code_integer > code_integer ).

tff(func_def_869,type,
    code_int_of_integer: fun(code_integer,int) ).

tff(func_def_870,type,
    code_integer_of_int: fun(int,code_integer) ).

tff(func_def_871,type,
    code_integer_of_nat: fun(nat,code_integer) ).

tff(func_def_872,type,
    code_integer_of_num: num > code_integer ).

tff(func_def_873,type,
    code_nat_of_integer: fun(code_integer,nat) ).

tff(func_def_874,type,
    code_num_of_integer: fun(code_integer,num) ).

tff(func_def_875,type,
    code_pcr_integer: fun(int,fun(code_integer,$o)) ).

tff(func_def_876,type,
    code_sub: fun(num,fun(num,code_integer)) ).

tff(func_def_877,type,
    code_Target_negative: fun(num,int) ).

tff(func_def_878,type,
    code_Target_positive: fun(num,int) ).

tff(func_def_879,type,
    code_Target_Nat: fun(code_integer,nat) ).

tff(func_def_880,type,
    code_T6385005292777649522of_nat: fun(nat,int) ).

tff(func_def_881,type,
    complete_Inf_Inf: 
      !>[X0: $tType] : fun(set(X0),X0) ).

tff(func_def_882,type,
    complete_Sup_Sup: 
      !>[X0: $tType] : fun(set(X0),X0) ).

tff(func_def_883,type,
    comple115746919287870866o_fixp: 
      !>[X0: $tType] : ( fun(X0,X0) > X0 ) ).

tff(func_def_884,type,
    comple6359979572994053840erates: 
      !>[X0: $tType] : ( fun(X0,X0) > set(X0) ) ).

tff(func_def_885,type,
    comple7512665784863727008ratesp: 
      !>[X0: $tType] : ( fun(X0,X0) > fun(X0,$o) ) ).

tff(func_def_886,type,
    arg: complex > real ).

tff(func_def_887,type,
    cis: real > complex ).

tff(func_def_888,type,
    cnj: complex > complex ).

tff(func_def_889,type,
    complex2: ( real * real ) > complex ).

tff(func_def_890,type,
    im: complex > real ).

tff(func_def_891,type,
    re: complex > real ).

tff(func_def_892,type,
    csqrt: complex > complex ).

tff(func_def_893,type,
    imaginary_unit: complex ).

tff(func_def_894,type,
    rcis: ( real * real ) > complex ).

tff(func_def_895,type,
    adjust_div: product_prod(int,int) > int ).

tff(func_def_896,type,
    adjust_mod: ( int * int ) > int ).

tff(func_def_897,type,
    divmod_nat: ( nat * nat ) > product_prod(nat,nat) ).

tff(func_def_898,type,
    unique8689654367752047608divmod: 
      !>[X0: $tType] : ( ( num * num ) > product_prod(X0,X0) ) ).

tff(func_def_899,type,
    unique1321980374590559556d_step: 
      !>[X0: $tType] : ( ( num * product_prod(X0,X0) ) > product_prod(X0,X0) ) ).

tff(func_def_900,type,
    euclid6346220572633701492n_size: 
      !>[X0: $tType] : fun(X0,nat) ).

tff(func_def_901,type,
    euclid7384307370059645450egment: 
      !>[X0: $tType] : ( X0 > X0 ) ).

tff(func_def_902,type,
    extended_eSuc: fun(extended_enat,extended_enat) ).

tff(func_def_903,type,
    extended_enat2: nat > extended_enat ).

tff(func_def_904,type,
    extended_Abs_enat: fun(option(nat),extended_enat) ).

tff(func_def_905,type,
    extended_Rep_enat: fun(extended_enat,option(nat)) ).

tff(func_def_906,type,
    extended_case_enat: 
      !>[X0: $tType] : fun(fun(nat,X0),fun(X0,fun(extended_enat,X0))) ).

tff(func_def_907,type,
    extended_rec_enat: 
      !>[X0: $tType] : fun(fun(nat,X0),fun(X0,fun(extended_enat,X0))) ).

tff(func_def_908,type,
    extend4933016492236175606t_enat: 
      !>[X0: $tType] : ( ( fun(nat,X0) * X0 * extended_enat ) > fun(X0,$o) ) ).

tff(func_def_909,type,
    extend4730790105801354508finity: 
      !>[X0: $tType] : X0 ).

tff(func_def_910,type,
    extended_the_enat: extended_enat > nat ).

tff(func_def_911,type,
    comm_s3205402744901411588hammer: 
      !>[X0: $tType] : ( ( X0 * nat ) > X0 ) ).

tff(func_def_912,type,
    semiring_char_0_fact: 
      !>[X0: $tType] : ( nat > X0 ) ).

tff(func_def_913,type,
    inverse_inverse: 
      !>[X0: $tType] : fun(X0,X0) ).

tff(func_def_914,type,
    abstract_filter: 
      !>[X0: $tType] : ( fun(product_unit,filter(X0)) > filter(X0) ) ).

tff(func_def_915,type,
    at_bot: 
      !>[X0: $tType] : filter(X0) ).

tff(func_def_916,type,
    at_top: 
      !>[X0: $tType] : filter(X0) ).

tff(func_def_917,type,
    filtermap: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * filter(X0) ) > filter(X1) ) ).

tff(func_def_918,type,
    principal: 
      !>[X0: $tType] : ( set(X0) > filter(X0) ) ).

tff(func_def_919,type,
    finite_card: 
      !>[X0: $tType] : fun(set(X0),nat) ).

tff(func_def_920,type,
    finite_fold: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,fun(X1,X1)) * X1 * set(X0) ) > X1 ) ).

tff(func_def_921,type,
    finite_folding_F: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,fun(X1,X1)) * X1 ) > fun(set(X0),X1) ) ).

tff(func_def_922,type,
    comp: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( fun(X0,X1) > fun(fun(X2,X0),fun(X2,X1)) ) ).

tff(func_def_923,type,
    fun_upd: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * X0 * X1 ) > fun(X0,X1) ) ).

tff(func_def_924,type,
    id: 
      !>[X0: $tType] : fun(X0,X0) ).

tff(func_def_925,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_926,type,
    the_inv_into: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,X1) * X1 ) > X0 ) ).

tff(func_def_927,type,
    fun_max_strict: set(product_prod(set(product_prod(nat,nat)),set(product_prod(nat,nat)))) ).

tff(func_def_928,type,
    fun_max_weak: set(product_prod(set(product_prod(nat,nat)),set(product_prod(nat,nat)))) ).

tff(func_def_929,type,
    fun_min_strict: set(product_prod(set(product_prod(nat,nat)),set(product_prod(nat,nat)))) ).

tff(func_def_930,type,
    fun_min_weak: set(product_prod(set(product_prod(nat,nat)),set(product_prod(nat,nat)))) ).

tff(func_def_931,type,
    fun_pair_leq: set(product_prod(product_prod(nat,nat),product_prod(nat,nat))) ).

tff(func_def_932,type,
    fun_pair_less: set(product_prod(product_prod(nat,nat),product_prod(nat,nat))) ).

tff(func_def_933,type,
    fun_rp_inv_image: 
      !>[X0: $tType,X1: $tType] : fun(product_prod(set(product_prod(X0,X0)),set(product_prod(X0,X0))),fun(fun(X1,X0),product_prod(set(product_prod(X1,X1)),set(product_prod(X1,X1))))) ).

tff(func_def_934,type,
    gcd_Gcd: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_935,type,
    bezw: ( nat * nat ) > product_prod(int,int) ).

tff(func_def_936,type,
    bezw_rel: fun(product_prod(nat,nat),fun(product_prod(nat,nat),$o)) ).

tff(func_def_937,type,
    bounde2362111253966948842tice_F: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,X0)) * X0 * X0 ) > fun(set(X0),X0) ) ).

tff(func_def_938,type,
    gcd_gcd: 
      !>[X0: $tType] : fun(X0,fun(X0,X0)) ).

tff(func_def_939,type,
    gcd_lcm: 
      !>[X0: $tType] : fun(X0,fun(X0,X0)) ).

tff(func_def_940,type,
    gcd_nat_rel: fun(product_prod(nat,nat),fun(product_prod(nat,nat),$o)) ).

tff(func_def_941,type,
    semiri4206861660011772517g_char: 
      !>[X0: $tType] : ( itself(X0) > nat ) ).

tff(func_def_942,type,
    semiring_gcd_Gcd_fin: 
      !>[X0: $tType] : fun(set(X0),X0) ).

tff(func_def_943,type,
    semiring_gcd_Lcm_fin: 
      !>[X0: $tType] : fun(set(X0),X0) ).

tff(func_def_944,type,
    abs_abs: 
      !>[X0: $tType] : fun(X0,X0) ).

tff(func_def_945,type,
    minus_minus: 
      !>[X0: $tType] : fun(X0,fun(X0,X0)) ).

tff(func_def_946,type,
    one_one: 
      !>[X0: $tType] : X0 ).

tff(func_def_947,type,
    plus_plus: 
      !>[X0: $tType] : fun(X0,fun(X0,X0)) ).

tff(func_def_948,type,
    sgn_sgn: 
      !>[X0: $tType] : fun(X0,X0) ).

tff(func_def_949,type,
    times_times: 
      !>[X0: $tType] : fun(X0,fun(X0,X0)) ).

tff(func_def_950,type,
    uminus_uminus: 
      !>[X0: $tType] : fun(X0,X0) ).

tff(func_def_951,type,
    zero_zero: 
      !>[X0: $tType] : X0 ).

tff(func_def_952,type,
    groups7311177749621191930dd_sum: 
      !>[X0: $tType,X1: $tType] : fun(fun(X0,X1),fun(set(X0),X1)) ).

tff(func_def_953,type,
    groups1027152243600224163dd_sum: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * set(X0) ) > X1 ) ).

tff(func_def_954,type,
    groups7121269368397514597t_prod: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * set(X0) ) > X1 ) ).

tff(func_def_955,type,
    groups4207007520872428315er_sum: 
      !>[X0: $tType,X1: $tType] : fun(fun(X0,X1),fun(X1,fun(list(X0),X1))) ).

tff(func_def_956,type,
    groups8242544230860333062m_list: 
      !>[X0: $tType] : fun(list(X0),X0) ).

tff(func_def_957,type,
    groups_monoid_F: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,X0)) * X0 ) > fun(list(X0),X0) ) ).

tff(func_def_958,type,
    the: 
      !>[X0: $tType] : ( fun(X0,$o) > X0 ) ).

tff(func_def_959,type,
    undefined: 
      !>[X0: $tType] : X0 ).

tff(func_def_960,type,
    complete_lattice_gfp: 
      !>[X0: $tType] : ( fun(X0,X0) > X0 ) ).

tff(func_def_961,type,
    complete_lattice_lfp: 
      !>[X0: $tType] : ( fun(X0,X0) > X0 ) ).

tff(func_def_962,type,
    infini527867602293511546merate: 
      !>[X0: $tType] : ( ( set(X0) * nat ) > X0 ) ).

tff(func_def_963,type,
    abs_Integ: fun(product_prod(nat,nat),int) ).

tff(func_def_964,type,
    rep_Integ: fun(int,product_prod(nat,nat)) ).

tff(func_def_965,type,
    cr_int: fun(product_prod(nat,nat),fun(int,$o)) ).

tff(func_def_966,type,
    int_ge_less_than: int > set(product_prod(int,int)) ).

tff(func_def_967,type,
    int_ge_less_than2: int > set(product_prod(int,int)) ).

tff(func_def_968,type,
    intrel: fun(product_prod(nat,nat),fun(product_prod(nat,nat),$o)) ).

tff(func_def_969,type,
    nat2: fun(int,nat) ).

tff(func_def_970,type,
    pcr_int: fun(product_prod(nat,nat),fun(int,$o)) ).

tff(func_def_971,type,
    power_int: 
      !>[X0: $tType] : ( ( X0 * int ) > X0 ) ).

tff(func_def_972,type,
    ring_1_Ints: 
      !>[X0: $tType] : set(X0) ).

tff(func_def_973,type,
    ring_1_of_int: 
      !>[X0: $tType] : fun(int,X0) ).

tff(func_def_974,type,
    inf_inf: 
      !>[X0: $tType] : fun(X0,fun(X0,X0)) ).

tff(func_def_975,type,
    sup_sup: 
      !>[X0: $tType] : fun(X0,fun(X0,X0)) ).

tff(func_def_976,type,
    lattices_Max: 
      !>[X0: $tType] : ( fun(X0,fun(X0,$o)) > fun(set(X0),X0) ) ).

tff(func_def_977,type,
    lattices_Min: 
      !>[X0: $tType] : ( fun(X0,fun(X0,$o)) > fun(set(X0),X0) ) ).

tff(func_def_978,type,
    lattic643756798349783984er_Max: 
      !>[X0: $tType] : fun(set(X0),X0) ).

tff(func_def_979,type,
    lattic643756798350308766er_Min: 
      !>[X0: $tType] : fun(set(X0),X0) ).

tff(func_def_980,type,
    lattices_ord_arg_max: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * fun(X0,$o) ) > X0 ) ).

tff(func_def_981,type,
    lattic1883929316492267755max_on: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * set(X0) ) > X0 ) ).

tff(func_def_982,type,
    lattices_ord_arg_min: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * fun(X0,$o) ) > X0 ) ).

tff(func_def_983,type,
    lattic7623131987881927897min_on: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * set(X0) ) > X0 ) ).

tff(func_def_984,type,
    lattic501386751176901750rg_max: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * fun(X0,$o) ) > fun(X0,$o) ) ).

tff(func_def_985,type,
    lattic501386751177426532rg_min: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * fun(X0,$o) ) > fun(X0,$o) ) ).

tff(func_def_986,type,
    lattic7752659483105999362nf_fin: 
      !>[X0: $tType] : fun(set(X0),X0) ).

tff(func_def_987,type,
    lattic1715443433743089157tice_F: 
      !>[X0: $tType] : ( fun(X0,fun(X0,X0)) > fun(set(X0),X0) ) ).

tff(func_def_988,type,
    lattic5882676163264333800up_fin: 
      !>[X0: $tType] : fun(set(X0),X0) ).

tff(func_def_989,type,
    at_infinity: 
      !>[X0: $tType] : filter(X0) ).

tff(func_def_990,type,
    append: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) ) > list(X0) ) ).

tff(func_def_991,type,
    arg_min_list: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * list(X0) ) > X0 ) ).

tff(func_def_992,type,
    arg_min_list_rel: 
      !>[X0: $tType,X1: $tType] : fun(product_prod(fun(X0,X1),list(X0)),fun(product_prod(fun(X0,X1),list(X0)),$o)) ).

tff(func_def_993,type,
    butlast: 
      !>[X0: $tType] : ( list(X0) > list(X0) ) ).

tff(func_def_994,type,
    concat: 
      !>[X0: $tType] : ( list(list(X0)) > list(X0) ) ).

tff(func_def_995,type,
    count_list: 
      !>[X0: $tType] : ( ( list(X0) * X0 ) > nat ) ).

tff(func_def_996,type,
    drop: 
      !>[X0: $tType] : ( ( nat * list(X0) ) > list(X0) ) ).

tff(func_def_997,type,
    dropWhile: 
      !>[X0: $tType] : ( ( fun(X0,$o) * list(X0) ) > list(X0) ) ).

tff(func_def_998,type,
    enumerate: 
      !>[X0: $tType] : ( ( nat * list(X0) ) > list(product_prod(nat,X0)) ) ).

tff(func_def_999,type,
    filter2: 
      !>[X0: $tType] : ( ( fun(X0,$o) * list(X0) ) > list(X0) ) ).

tff(func_def_1000,type,
    find: 
      !>[X0: $tType] : ( ( fun(X0,$o) * list(X0) ) > option(X0) ) ).

tff(func_def_1001,type,
    fold: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,fun(X1,X1)) * list(X0) * X1 ) > X1 ) ).

tff(func_def_1002,type,
    foldl: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,fun(X1,X0)) * X0 * list(X1) ) > X0 ) ).

tff(func_def_1003,type,
    foldr: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,fun(X1,X1)) * list(X0) * X1 ) > X1 ) ).

tff(func_def_1004,type,
    gen_length: 
      !>[X0: $tType] : ( nat > fun(list(X0),nat) ) ).

tff(func_def_1005,type,
    last: 
      !>[X0: $tType] : ( list(X0) > X0 ) ).

tff(func_def_1006,type,
    lenlex: 
      !>[X0: $tType] : ( set(product_prod(X0,X0)) > set(product_prod(list(X0),list(X0))) ) ).

tff(func_def_1007,type,
    lex: 
      !>[X0: $tType] : ( set(product_prod(X0,X0)) > set(product_prod(list(X0),list(X0))) ) ).

tff(func_def_1008,type,
    lexord: 
      !>[X0: $tType] : ( set(product_prod(X0,X0)) > set(product_prod(list(X0),list(X0))) ) ).

tff(func_def_1009,type,
    linord329482645794927042rt_key: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * X0 * list(X0) ) > list(X0) ) ).

tff(func_def_1010,type,
    linorder_insort_key: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * X0 * list(X0) ) > list(X0) ) ).

tff(func_def_1011,type,
    linorder_sort_key: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * list(X0) ) > list(X0) ) ).

tff(func_def_1012,type,
    linord4507533701916653071of_set: 
      !>[X0: $tType] : ( set(X0) > list(X0) ) ).

tff(func_def_1013,type,
    cons: 
      !>[X0: $tType] : ( ( X0 * list(X0) ) > list(X0) ) ).

tff(func_def_1014,type,
    nil: 
      !>[X0: $tType] : list(X0) ).

tff(func_def_1015,type,
    case_list: 
      !>[X0: $tType,X1: $tType] : ( ( X0 * fun(X1,fun(list(X1),X0)) * list(X1) ) > X0 ) ).

tff(func_def_1016,type,
    hd: 
      !>[X0: $tType] : ( list(X0) > X0 ) ).

tff(func_def_1017,type,
    list_all2: 
      !>[X0: $tType,X1: $tType] : ( fun(X0,fun(X1,$o)) > fun(list(X0),fun(list(X1),$o)) ) ).

tff(func_def_1018,type,
    map: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * list(X0) ) > list(X1) ) ).

tff(func_def_1019,type,
    set2: 
      !>[X0: $tType] : ( list(X0) > set(X0) ) ).

tff(func_def_1020,type,
    size_list: 
      !>[X0: $tType] : ( ( fun(X0,nat) * list(X0) ) > nat ) ).

tff(func_def_1021,type,
    tl: 
      !>[X0: $tType] : ( list(X0) > list(X0) ) ).

tff(func_def_1022,type,
    list_update: 
      !>[X0: $tType] : ( ( list(X0) * nat * X0 ) > list(X0) ) ).

tff(func_def_1023,type,
    listrel: 
      !>[X0: $tType,X1: $tType] : ( set(product_prod(X0,X1)) > set(product_prod(list(X0),list(X1))) ) ).

tff(func_def_1024,type,
    listrel1: 
      !>[X0: $tType] : ( set(product_prod(X0,X0)) > set(product_prod(list(X0),list(X0))) ) ).

tff(func_def_1025,type,
    map_filter: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,option(X1)) * list(X0) ) > list(X1) ) ).

tff(func_def_1026,type,
    measures: 
      !>[X0: $tType] : ( list(fun(X0,nat)) > set(product_prod(X0,X0)) ) ).

tff(func_def_1027,type,
    n_lists: 
      !>[X0: $tType] : ( ( nat * list(X0) ) > list(list(X0)) ) ).

tff(func_def_1028,type,
    nth: 
      !>[X0: $tType] : ( list(X0) > fun(nat,X0) ) ).

tff(func_def_1029,type,
    nths: 
      !>[X0: $tType] : ( ( list(X0) * set(nat) ) > list(X0) ) ).

tff(func_def_1030,type,
    ord_lexordp: 
      !>[X0: $tType] : fun(list(X0),fun(list(X0),$o)) ).

tff(func_def_1031,type,
    product: 
      !>[X0: $tType,X1: $tType] : ( ( list(X0) * list(X1) ) > list(product_prod(X0,X1)) ) ).

tff(func_def_1032,type,
    remdups_adj: 
      !>[X0: $tType] : ( list(X0) > list(X0) ) ).

tff(func_def_1033,type,
    remove1: 
      !>[X0: $tType] : ( ( X0 * list(X0) ) > list(X0) ) ).

tff(func_def_1034,type,
    removeAll: 
      !>[X0: $tType] : ( ( X0 * list(X0) ) > list(X0) ) ).

tff(func_def_1035,type,
    replicate: 
      !>[X0: $tType] : ( ( nat * X0 ) > list(X0) ) ).

tff(func_def_1036,type,
    rev: 
      !>[X0: $tType] : ( list(X0) > list(X0) ) ).

tff(func_def_1037,type,
    rotate: 
      !>[X0: $tType] : ( nat > fun(list(X0),list(X0)) ) ).

tff(func_def_1038,type,
    rotate1: 
      !>[X0: $tType] : ( list(X0) > list(X0) ) ).

tff(func_def_1039,type,
    subseqs: 
      !>[X0: $tType] : ( list(X0) > list(list(X0)) ) ).

tff(func_def_1040,type,
    take: 
      !>[X0: $tType] : ( ( nat * list(X0) ) > list(X0) ) ).

tff(func_def_1041,type,
    takeWhile: 
      !>[X0: $tType] : ( ( fun(X0,$o) * list(X0) ) > list(X0) ) ).

tff(func_def_1042,type,
    transpose: 
      !>[X0: $tType] : ( list(list(X0)) > list(list(X0)) ) ).

tff(func_def_1043,type,
    upt: ( nat * nat ) > list(nat) ).

tff(func_def_1044,type,
    upto: ( int * int ) > list(int) ).

tff(func_def_1045,type,
    upto_aux: ( int * int * list(int) ) > list(int) ).

tff(func_def_1046,type,
    upto_rel: fun(product_prod(int,int),fun(product_prod(int,int),$o)) ).

tff(func_def_1047,type,
    zip: 
      !>[X0: $tType,X1: $tType] : ( ( list(X0) * list(X1) ) > list(product_prod(X0,X1)) ) ).

tff(func_def_1048,type,
    dom: 
      !>[X0: $tType,X1: $tType] : ( fun(X0,option(X1)) > set(X0) ) ).

tff(func_def_1049,type,
    graph: 
      !>[X0: $tType,X1: $tType] : ( fun(X0,option(X1)) > set(product_prod(X0,X1)) ) ).

tff(func_def_1050,type,
    map_add: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,option(X1)) * fun(X0,option(X1)) ) > fun(X0,option(X1)) ) ).

tff(func_def_1051,type,
    map_comp: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( fun(X0,option(X1)) * fun(X2,option(X0)) * X2 ) > option(X1) ) ).

tff(func_def_1052,type,
    map_of: 
      !>[X0: $tType,X1: $tType] : ( list(product_prod(X0,X1)) > fun(X0,option(X1)) ) ).

tff(func_def_1053,type,
    map_upds: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,option(X1)) * list(X0) * list(X1) ) > fun(X0,option(X1)) ) ).

tff(func_def_1054,type,
    ran: 
      !>[X0: $tType,X1: $tType] : ( fun(X0,option(X1)) > set(X1) ) ).

tff(func_def_1055,type,
    restrict_map: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,option(X1)) * set(X0) ) > fun(X0,option(X1)) ) ).

tff(func_def_1056,type,
    suc: fun(nat,nat) ).

tff(func_def_1057,type,
    compow: 
      !>[X0: $tType] : fun(nat,fun(X0,X0)) ).

tff(func_def_1058,type,
    funpow: 
      !>[X0: $tType] : fun(nat,fun(fun(X0,X0),fun(X0,X0))) ).

tff(func_def_1059,type,
    case_nat: 
      !>[X0: $tType] : ( ( X0 * fun(nat,X0) * nat ) > X0 ) ).

tff(func_def_1060,type,
    pred: nat > nat ).

tff(func_def_1061,type,
    rec_nat: 
      !>[X0: $tType] : ( ( X0 * fun(nat,fun(X0,X0)) ) > fun(nat,X0) ) ).

tff(func_def_1062,type,
    rec_set_nat: 
      !>[X0: $tType] : ( ( X0 * fun(nat,fun(X0,X0)) * nat ) > fun(X0,$o) ) ).

tff(func_def_1063,type,
    semiring_1_Nats: 
      !>[X0: $tType] : set(X0) ).

tff(func_def_1064,type,
    semiring_1_of_nat: 
      !>[X0: $tType] : fun(nat,X0) ).

tff(func_def_1065,type,
    semiri8178284476397505188at_aux: 
      !>[X0: $tType] : ( ( fun(X0,X0) * nat * X0 ) > X0 ) ).

tff(func_def_1066,type,
    size_size: 
      !>[X0: $tType] : fun(X0,nat) ).

tff(func_def_1067,type,
    nat_list_decode: nat > list(nat) ).

tff(func_def_1068,type,
    nat_list_decode_rel: fun(nat,fun(nat,$o)) ).

tff(func_def_1069,type,
    nat_list_encode: list(nat) > nat ).

tff(func_def_1070,type,
    nat_list_encode_rel: fun(list(nat),fun(list(nat),$o)) ).

tff(func_def_1071,type,
    nat_prod_decode: fun(nat,product_prod(nat,nat)) ).

tff(func_def_1072,type,
    nat_prod_decode_aux: nat > fun(nat,product_prod(nat,nat)) ).

tff(func_def_1073,type,
    nat_pr5047031295181774490ux_rel: fun(product_prod(nat,nat),fun(product_prod(nat,nat),$o)) ).

tff(func_def_1074,type,
    nat_prod_encode: product_prod(nat,nat) > nat ).

tff(func_def_1075,type,
    nat_set_decode: nat > set(nat) ).

tff(func_def_1076,type,
    nat_set_encode: fun(set(nat),nat) ).

tff(func_def_1077,type,
    nat_triangle: nat > nat ).

tff(func_def_1078,type,
    root: nat > fun(real,real) ).

tff(func_def_1079,type,
    sqrt: fun(real,real) ).

tff(func_def_1080,type,
    bitM: num > num ).

tff(func_def_1081,type,
    inc: num > num ).

tff(func_def_1082,type,
    nat_of_num: fun(num,nat) ).

tff(func_def_1083,type,
    neg_numeral_dbl: 
      !>[X0: $tType] : ( X0 > X0 ) ).

tff(func_def_1084,type,
    neg_numeral_dbl_dec: 
      !>[X0: $tType] : ( X0 > X0 ) ).

tff(func_def_1085,type,
    neg_numeral_dbl_inc: 
      !>[X0: $tType] : ( X0 > X0 ) ).

tff(func_def_1086,type,
    neg_numeral_sub: 
      !>[X0: $tType] : ( ( num * num ) > X0 ) ).

tff(func_def_1087,type,
    bit0: fun(num,num) ).

tff(func_def_1088,type,
    bit1: fun(num,num) ).

tff(func_def_1089,type,
    one2: num ).

tff(func_def_1090,type,
    case_num: 
      !>[X0: $tType] : fun(X0,fun(fun(num,X0),fun(fun(num,X0),fun(num,X0)))) ).

tff(func_def_1091,type,
    rec_num: 
      !>[X0: $tType] : fun(X0,fun(fun(num,fun(X0,X0)),fun(fun(num,fun(X0,X0)),fun(num,X0)))) ).

tff(func_def_1092,type,
    size_num: num > nat ).

tff(func_def_1093,type,
    num_of_nat: fun(nat,num) ).

tff(func_def_1094,type,
    numeral_numeral: 
      !>[X0: $tType] : fun(num,X0) ).

tff(func_def_1095,type,
    pow: ( num * num ) > num ).

tff(func_def_1096,type,
    pred_numeral: num > nat ).

tff(func_def_1097,type,
    sqr: num > num ).

tff(func_def_1098,type,
    bind: 
      !>[X0: $tType,X1: $tType] : fun(option(X0),fun(fun(X0,option(X1)),option(X1))) ).

tff(func_def_1099,type,
    combine_options: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,X0)) * option(X0) * option(X0) ) > option(X0) ) ).

tff(func_def_1100,type,
    none: 
      !>[X0: $tType] : option(X0) ).

tff(func_def_1101,type,
    some: 
      !>[X0: $tType] : fun(X0,option(X0)) ).

tff(func_def_1102,type,
    case_option: 
      !>[X0: $tType,X1: $tType] : fun(X0,fun(fun(X1,X0),fun(option(X1),X0))) ).

tff(func_def_1103,type,
    map_option: 
      !>[X0: $tType,X1: $tType] : fun(fun(X0,X1),fun(option(X0),option(X1))) ).

tff(func_def_1104,type,
    pred_option: 
      !>[X0: $tType] : fun(fun(X0,$o),fun(option(X0),$o)) ).

tff(func_def_1105,type,
    rec_option: 
      !>[X0: $tType,X1: $tType] : fun(X0,fun(fun(X1,X0),fun(option(X1),X0))) ).

tff(func_def_1106,type,
    rel_option: 
      !>[X0: $tType,X1: $tType] : fun(fun(X0,fun(X1,$o)),fun(option(X0),fun(option(X1),$o))) ).

tff(func_def_1107,type,
    set_option: 
      !>[X0: $tType] : fun(option(X0),set(X0)) ).

tff(func_def_1108,type,
    size_option: 
      !>[X0: $tType] : ( fun(X0,nat) > fun(option(X0),nat) ) ).

tff(func_def_1109,type,
    the2: 
      !>[X0: $tType] : fun(option(X0),X0) ).

tff(func_def_1110,type,
    these: 
      !>[X0: $tType] : ( set(option(X0)) > set(X0) ) ).

tff(func_def_1111,type,
    order_532582986084564980_cclfp: 
      !>[X0: $tType] : ( fun(X0,X0) > X0 ) ).

tff(func_def_1112,type,
    order_underS: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * X0 ) > set(X0) ) ).

tff(func_def_1113,type,
    bot_bot: 
      !>[X0: $tType] : X0 ).

tff(func_def_1114,type,
    least: 
      !>[X0: $tType] : ( fun(X0,fun(X0,$o)) > fun(fun(X0,$o),X0) ) ).

tff(func_def_1115,type,
    max: 
      !>[X0: $tType] : ( fun(X0,fun(X0,$o)) > fun(X0,fun(X0,X0)) ) ).

tff(func_def_1116,type,
    min: 
      !>[X0: $tType] : ( fun(X0,fun(X0,$o)) > fun(X0,fun(X0,X0)) ) ).

tff(func_def_1117,type,
    ord_Least: 
      !>[X0: $tType] : ( fun(X0,$o) > X0 ) ).

tff(func_def_1118,type,
    ord_less: 
      !>[X0: $tType] : fun(X0,fun(X0,$o)) ).

tff(func_def_1119,type,
    ord_less_eq: 
      !>[X0: $tType] : fun(X0,fun(X0,$o)) ).

tff(func_def_1120,type,
    ord_max: 
      !>[X0: $tType] : fun(X0,fun(X0,X0)) ).

tff(func_def_1121,type,
    ord_min: 
      !>[X0: $tType] : fun(X0,fun(X0,X0)) ).

tff(func_def_1122,type,
    order_Greatest: 
      !>[X0: $tType] : ( fun(X0,$o) > X0 ) ).

tff(func_def_1123,type,
    order_mono: 
      !>[X0: $tType,X1: $tType] : fun(fun(X0,X1),$o) ).

tff(func_def_1124,type,
    top_top: 
      !>[X0: $tType] : X0 ).

tff(func_def_1125,type,
    power2: 
      !>[X0: $tType] : ( ( X0 * fun(X0,fun(X0,X0)) ) > fun(X0,fun(nat,X0)) ) ).

tff(func_def_1126,type,
    power_power: 
      !>[X0: $tType] : fun(X0,fun(nat,X0)) ).

tff(func_def_1127,type,
    product_Pair: 
      !>[X0: $tType,X1: $tType] : ( X0 > fun(X1,product_prod(X0,X1)) ) ).

tff(func_def_1128,type,
    product_Sigma: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,set(X1)) ) > set(product_prod(X0,X1)) ) ).

tff(func_def_1129,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_1130,type,
    product_map_prod: 
      !>[X0: $tType,X1: $tType,X2: $tType,X3: $tType] : ( ( fun(X0,X1) * fun(X2,X3) * product_prod(X0,X2) ) > product_prod(X1,X3) ) ).

tff(func_def_1131,type,
    product_case_prod: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( fun(X0,fun(X1,X2)) > fun(product_prod(X0,X1),X2) ) ).

tff(func_def_1132,type,
    product_fst: 
      !>[X0: $tType,X1: $tType] : fun(product_prod(X0,X1),X0) ).

tff(func_def_1133,type,
    product_snd: 
      !>[X0: $tType,X1: $tType] : fun(product_prod(X0,X1),X1) ).

tff(func_def_1134,type,
    type2: 
      !>[X0: $tType] : itself(X0) ).

tff(func_def_1135,type,
    abs_Rat: fun(product_prod(int,int),rat) ).

tff(func_def_1136,type,
    fract: fun(int,fun(int,rat)) ).

tff(func_def_1137,type,
    frct: product_prod(int,int) > rat ).

tff(func_def_1138,type,
    rep_Rat: fun(rat,product_prod(int,int)) ).

tff(func_def_1139,type,
    field_char_0_Rats: 
      !>[X0: $tType] : set(X0) ).

tff(func_def_1140,type,
    field_char_0_of_rat: 
      !>[X0: $tType] : fun(rat,X0) ).

tff(func_def_1141,type,
    normalize: product_prod(int,int) > product_prod(int,int) ).

tff(func_def_1142,type,
    pcr_rat: fun(product_prod(int,int),fun(rat,$o)) ).

tff(func_def_1143,type,
    positive: fun(rat,$o) ).

tff(func_def_1144,type,
    quotient_of: rat > product_prod(int,int) ).

tff(func_def_1145,type,
    ratrel: fun(product_prod(int,int),fun(product_prod(int,int),$o)) ).

tff(func_def_1146,type,
    real2: fun(fun(nat,rat),real) ).

tff(func_def_1147,type,
    cr_real: fun(fun(nat,rat),fun(real,$o)) ).

tff(func_def_1148,type,
    pcr_real: fun(fun(nat,rat),fun(real,$o)) ).

tff(func_def_1149,type,
    positive2: fun(real,$o) ).

tff(func_def_1150,type,
    realrel: fun(fun(nat,rat),fun(fun(nat,rat),$o)) ).

tff(func_def_1151,type,
    rep_real: fun(real,fun(nat,rat)) ).

tff(func_def_1152,type,
    real_Vector_Reals: 
      !>[X0: $tType] : set(X0) ).

tff(func_def_1153,type,
    real_V4425403222259421789struct: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,X1) * X0 ) > X1 ) ).

tff(func_def_1154,type,
    real_Vector_dim: 
      !>[X0: $tType] : ( set(X0) > nat ) ).

tff(func_def_1155,type,
    real_V557655796197034286t_dist: 
      !>[X0: $tType] : ( ( X0 * X0 ) > real ) ).

tff(func_def_1156,type,
    real_V4986007116245087402_basis: 
      !>[X0: $tType] : ( set(X0) > set(X0) ) ).

tff(func_def_1157,type,
    real_V7770717601297561774m_norm: 
      !>[X0: $tType] : ( X0 > real ) ).

tff(func_def_1158,type,
    real_Vector_of_real: 
      !>[X0: $tType] : ( real > X0 ) ).

tff(func_def_1159,type,
    real_V7696804695334737415tation: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > fun(X0,real) ) ).

tff(func_def_1160,type,
    real_V8093663219630862766scaleR: 
      !>[X0: $tType] : ( real > fun(X0,X0) ) ).

tff(func_def_1161,type,
    real_Vector_span: 
      !>[X0: $tType] : ( set(X0) > set(X0) ) ).

tff(func_def_1162,type,
    inv_image: 
      !>[X0: $tType,X1: $tType] : ( ( set(product_prod(X0,X0)) * fun(X1,X0) ) > set(product_prod(X1,X1)) ) ).

tff(func_def_1163,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_1164,type,
    divide_divide: 
      !>[X0: $tType] : ( ( X0 * X0 ) > X0 ) ).

tff(func_def_1165,type,
    dvd_dvd: 
      !>[X0: $tType] : fun(X0,fun(X0,$o)) ).

tff(func_def_1166,type,
    modulo_modulo: 
      !>[X0: $tType] : ( ( X0 * X0 ) > X0 ) ).

tff(func_def_1167,type,
    unit_f5069060285200089521factor: 
      !>[X0: $tType] : ( X0 > X0 ) ).

tff(func_def_1168,type,
    zero_neq_one_of_bool: 
      !>[X0: $tType] : fun($o,X0) ).

tff(func_def_1169,type,
    suminf: 
      !>[X0: $tType] : ( fun(nat,X0) > X0 ) ).

tff(func_def_1170,type,
    collect: 
      !>[X0: $tType] : ( fun(X0,$o) > set(X0) ) ).

tff(func_def_1171,type,
    pow2: 
      !>[X0: $tType] : ( set(X0) > set(set(X0)) ) ).

tff(func_def_1172,type,
    image: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * set(X0) ) > set(X1) ) ).

tff(func_def_1173,type,
    insert: 
      !>[X0: $tType] : ( ( X0 * set(X0) ) > set(X0) ) ).

tff(func_def_1174,type,
    vimage: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * set(X1) ) > set(X0) ) ).

tff(func_def_1175,type,
    set_fo6178422350223883121st_nat: 
      !>[X0: $tType] : ( ( fun(nat,fun(X0,X0)) * nat * nat * X0 ) > X0 ) ).

tff(func_def_1176,type,
    set_ord_atLeast: 
      !>[X0: $tType] : ( X0 > set(X0) ) ).

tff(func_def_1177,type,
    set_or1337092689740270186AtMost: 
      !>[X0: $tType] : ( ( X0 * X0 ) > set(X0) ) ).

tff(func_def_1178,type,
    set_or7035219750837199246ssThan: 
      !>[X0: $tType] : ( ( X0 * X0 ) > set(X0) ) ).

tff(func_def_1179,type,
    set_ord_atMost: 
      !>[X0: $tType] : ( X0 > set(X0) ) ).

tff(func_def_1180,type,
    set_ord_greaterThan: 
      !>[X0: $tType] : ( X0 > set(X0) ) ).

tff(func_def_1181,type,
    set_or3652927894154168847AtMost: 
      !>[X0: $tType] : ( ( X0 * X0 ) > set(X0) ) ).

tff(func_def_1182,type,
    set_or5935395276787703475ssThan: 
      !>[X0: $tType] : ( ( X0 * X0 ) > set(X0) ) ).

tff(func_def_1183,type,
    set_ord_lessThan: 
      !>[X0: $tType] : ( X0 > set(X0) ) ).

tff(func_def_1184,type,
    abort: 
      !>[X0: $tType] : ( ( literal * fun(product_unit,X0) ) > X0 ) ).

tff(func_def_1185,type,
    literal2: ( $o * $o * $o * $o * $o * $o * $o * literal ) > literal ).

tff(func_def_1186,type,
    ascii_of: char > char ).

tff(func_def_1187,type,
    char2: ( $o * $o * $o * $o * $o * $o * $o * $o ) > char ).

tff(func_def_1188,type,
    size_char: char > nat ).

tff(func_def_1189,type,
    comm_s6883823935334413003f_char: 
      !>[X0: $tType] : fun(char,X0) ).

tff(func_def_1190,type,
    integer_of_char: char > code_integer ).

tff(func_def_1191,type,
    unique5772411509450598832har_of: 
      !>[X0: $tType] : fun(X0,char) ).

tff(func_def_1192,type,
    sum_Plus: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * set(X1) ) > set(sum_sum(X0,X1)) ) ).

tff(func_def_1193,type,
    topolo3827282254853284352ce_Lim: 
      !>[X0: $tType,X1: $tType] : ( ( filter(X0) * fun(X0,X1) ) > X1 ) ).

tff(func_def_1194,type,
    topolo174197925503356063within: 
      !>[X0: $tType] : ( ( X0 * set(X0) ) > filter(X0) ) ).

tff(func_def_1195,type,
    topolo7230453075368039082e_nhds: 
      !>[X0: $tType] : ( X0 > filter(X0) ) ).

tff(func_def_1196,type,
    topolo7806501430040627800ormity: 
      !>[X0: $tType] : filter(product_prod(X0,X0)) ).

tff(func_def_1197,type,
    arccos: fun(real,real) ).

tff(func_def_1198,type,
    arcosh: 
      !>[X0: $tType] : fun(X0,X0) ).

tff(func_def_1199,type,
    arcsin: fun(real,real) ).

tff(func_def_1200,type,
    arctan: fun(real,real) ).

tff(func_def_1201,type,
    arsinh: 
      !>[X0: $tType] : fun(X0,X0) ).

tff(func_def_1202,type,
    artanh: 
      !>[X0: $tType] : fun(X0,X0) ).

tff(func_def_1203,type,
    cos: 
      !>[X0: $tType] : ( X0 > X0 ) ).

tff(func_def_1204,type,
    cos_coeff: nat > real ).

tff(func_def_1205,type,
    cosh: 
      !>[X0: $tType] : ( X0 > X0 ) ).

tff(func_def_1206,type,
    cot: 
      !>[X0: $tType] : fun(X0,X0) ).

tff(func_def_1207,type,
    diffs: 
      !>[X0: $tType] : ( fun(nat,X0) > fun(nat,X0) ) ).

tff(func_def_1208,type,
    exp: 
      !>[X0: $tType] : fun(X0,X0) ).

tff(func_def_1209,type,
    ln_ln: 
      !>[X0: $tType] : fun(X0,X0) ).

tff(func_def_1210,type,
    log: real > fun(real,real) ).

tff(func_def_1211,type,
    pi: real ).

tff(func_def_1212,type,
    powr: 
      !>[X0: $tType] : ( ( X0 * X0 ) > X0 ) ).

tff(func_def_1213,type,
    powr_real: ( real * real ) > real ).

tff(func_def_1214,type,
    sin: 
      !>[X0: $tType] : ( X0 > X0 ) ).

tff(func_def_1215,type,
    sin_coeff: nat > real ).

tff(func_def_1216,type,
    sinh: 
      !>[X0: $tType] : ( X0 > X0 ) ).

tff(func_def_1217,type,
    tan: 
      !>[X0: $tType] : fun(X0,X0) ).

tff(func_def_1218,type,
    tanh: 
      !>[X0: $tType] : fun(X0,X0) ).

tff(func_def_1219,type,
    transitive_ntrancl: 
      !>[X0: $tType] : ( ( nat * set(product_prod(X0,X0)) ) > set(product_prod(X0,X0)) ) ).

tff(func_def_1220,type,
    transitive_rtrancl: 
      !>[X0: $tType] : ( set(product_prod(X0,X0)) > set(product_prod(X0,X0)) ) ).

tff(func_def_1221,type,
    transitive_trancl: 
      !>[X0: $tType] : ( set(product_prod(X0,X0)) > set(product_prod(X0,X0)) ) ).

tff(func_def_1222,type,
    vEBT_T_i_n_s_e_r_t: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_1223,type,
    vEBT_T_i_n_s_e_r_t2: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_1224,type,
    vEBT_T5076183648494686801_t_rel: fun(product_prod(vEBT_VEBT,nat),fun(product_prod(vEBT_VEBT,nat),$o)) ).

tff(func_def_1225,type,
    vEBT_T9217963907923527482_t_rel: fun(product_prod(vEBT_VEBT,nat),fun(product_prod(vEBT_VEBT,nat),$o)) ).

tff(func_def_1226,type,
    vEBT_T_m_a_x_t: vEBT_VEBT > nat ).

tff(func_def_1227,type,
    vEBT_T_m_e_m_b_e_r: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_1228,type,
    vEBT_T_m_e_m_b_e_r2: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_1229,type,
    vEBT_T8099345112685741742_r_rel: fun(product_prod(vEBT_VEBT,nat),fun(product_prod(vEBT_VEBT,nat),$o)) ).

tff(func_def_1230,type,
    vEBT_T5837161174952499735_r_rel: fun(product_prod(vEBT_VEBT,nat),fun(product_prod(vEBT_VEBT,nat),$o)) ).

tff(func_def_1231,type,
    vEBT_T_m_i_n_N_u_l_l: vEBT_VEBT > nat ).

tff(func_def_1232,type,
    vEBT_T_m_i_n_t: vEBT_VEBT > nat ).

tff(func_def_1233,type,
    vEBT_T_m_i_n_t_rel: fun(vEBT_VEBT,fun(vEBT_VEBT,$o)) ).

tff(func_def_1234,type,
    vEBT_T_p_r_e_d: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_1235,type,
    vEBT_T_p_r_e_d2: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_1236,type,
    vEBT_T_p_r_e_d_rel: fun(product_prod(vEBT_VEBT,nat),fun(product_prod(vEBT_VEBT,nat),$o)) ).

tff(func_def_1237,type,
    vEBT_T_p_r_e_d_rel2: fun(product_prod(vEBT_VEBT,nat),fun(product_prod(vEBT_VEBT,nat),$o)) ).

tff(func_def_1238,type,
    vEBT_T_s_u_c_c: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_1239,type,
    vEBT_T_s_u_c_c2: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_1240,type,
    vEBT_T_s_u_c_c_rel: fun(product_prod(vEBT_VEBT,nat),fun(product_prod(vEBT_VEBT,nat),$o)) ).

tff(func_def_1241,type,
    vEBT_T_s_u_c_c_rel2: fun(product_prod(vEBT_VEBT,nat),fun(product_prod(vEBT_VEBT,nat),$o)) ).

tff(func_def_1242,type,
    vEBT_Leaf: ( $o * $o ) > vEBT_VEBT ).

tff(func_def_1243,type,
    vEBT_Node: ( option(product_prod(nat,nat)) * nat * list(vEBT_VEBT) * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_1244,type,
    vEBT_size_VEBT: fun(vEBT_VEBT,nat) ).

tff(func_def_1245,type,
    vEBT_VEBT_elim_dead: ( vEBT_VEBT * extended_enat ) > vEBT_VEBT ).

tff(func_def_1246,type,
    vEBT_V312737461966249ad_rel: fun(product_prod(vEBT_VEBT,extended_enat),fun(product_prod(vEBT_VEBT,extended_enat),$o)) ).

tff(func_def_1247,type,
    vEBT_VEBT_high: ( nat * nat ) > nat ).

tff(func_def_1248,type,
    vEBT_VEBT_low: ( nat * nat ) > nat ).

tff(func_def_1249,type,
    vEBT_V4351362008482014158ma_rel: fun(product_prod(vEBT_VEBT,nat),fun(product_prod(vEBT_VEBT,nat),$o)) ).

tff(func_def_1250,type,
    vEBT_V5765760719290551771er_rel: fun(product_prod(vEBT_VEBT,nat),fun(product_prod(vEBT_VEBT,nat),$o)) ).

tff(func_def_1251,type,
    vEBT_VEBT_valid_rel: fun(product_prod(vEBT_VEBT,nat),fun(product_prod(vEBT_VEBT,nat),$o)) ).

tff(func_def_1252,type,
    vEBT_set_vebt: vEBT_VEBT > set(nat) ).

tff(func_def_1253,type,
    vEBT_vebt_buildup: nat > vEBT_VEBT ).

tff(func_def_1254,type,
    vEBT_v4011308405150292612up_rel: fun(nat,fun(nat,$o)) ).

tff(func_def_1255,type,
    vEBT_T_d_e_l_e_t_e: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_1256,type,
    vEBT_T8441311223069195367_e_rel: fun(product_prod(vEBT_VEBT,nat),fun(product_prod(vEBT_VEBT,nat),$o)) ).

tff(func_def_1257,type,
    vEBT_vebt_delete: ( vEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_1258,type,
    vEBT_vebt_delete_rel: fun(product_prod(vEBT_VEBT,nat),fun(product_prod(vEBT_VEBT,nat),$o)) ).

tff(func_def_1259,type,
    vEBT_VEBT_height: fun(vEBT_VEBT,nat) ).

tff(func_def_1260,type,
    vEBT_VEBT_height_rel: fun(vEBT_VEBT,fun(vEBT_VEBT,$o)) ).

tff(func_def_1261,type,
    vEBT_vebt_insert: ( vEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_1262,type,
    vEBT_vebt_insert_rel: fun(product_prod(vEBT_VEBT,nat),fun(product_prod(vEBT_VEBT,nat),$o)) ).

tff(func_def_1263,type,
    vEBT_VEBT_bit_concat: ( nat * nat * nat ) > nat ).

tff(func_def_1264,type,
    vEBT_VEBT_set_vebt: vEBT_VEBT > set(nat) ).

tff(func_def_1265,type,
    vEBT_vebt_member: vEBT_VEBT > fun(nat,$o) ).

tff(func_def_1266,type,
    vEBT_vebt_member_rel: fun(product_prod(vEBT_VEBT,nat),fun(product_prod(vEBT_VEBT,nat),$o)) ).

tff(func_def_1267,type,
    vEBT_VEBT_add: fun(option(nat),fun(option(nat),option(nat))) ).

tff(func_def_1268,type,
    vEBT_VEBT_mul: fun(option(nat),fun(option(nat),option(nat))) ).

tff(func_def_1269,type,
    vEBT_V4810408830578336424ft_rel: 
      !>[X0: $tType] : fun(product_prod(fun(X0,fun(X0,$o)),product_prod(option(X0),option(X0))),fun(product_prod(fun(X0,fun(X0,$o)),product_prod(option(X0),option(X0))),$o)) ).

tff(func_def_1270,type,
    vEBT_V2048590022279873568_shift: 
      !>[X0: $tType] : ( fun(X0,fun(X0,X0)) > fun(option(X0),fun(option(X0),option(X0))) ) ).

tff(func_def_1271,type,
    vEBT_V459564278314245337ft_rel: 
      !>[X0: $tType] : fun(product_prod(fun(X0,fun(X0,X0)),product_prod(option(X0),option(X0))),fun(product_prod(fun(X0,fun(X0,X0)),product_prod(option(X0),option(X0))),$o)) ).

tff(func_def_1272,type,
    vEBT_VEBT_power: fun(option(nat),fun(option(nat),option(nat))) ).

tff(func_def_1273,type,
    vEBT_vebt_maxt: vEBT_VEBT > option(nat) ).

tff(func_def_1274,type,
    vEBT_vebt_maxt_rel: fun(vEBT_VEBT,fun(vEBT_VEBT,$o)) ).

tff(func_def_1275,type,
    vEBT_vebt_mint: vEBT_VEBT > option(nat) ).

tff(func_def_1276,type,
    vEBT_vebt_mint_rel: fun(vEBT_VEBT,fun(vEBT_VEBT,$o)) ).

tff(func_def_1277,type,
    vEBT_vebt_pred: ( vEBT_VEBT * nat ) > option(nat) ).

tff(func_def_1278,type,
    vEBT_vebt_pred_rel: fun(product_prod(vEBT_VEBT,nat),fun(product_prod(vEBT_VEBT,nat),$o)) ).

tff(func_def_1279,type,
    vEBT_vebt_succ: ( vEBT_VEBT * nat ) > option(nat) ).

tff(func_def_1280,type,
    vEBT_vebt_succ_rel: fun(product_prod(vEBT_VEBT,nat),fun(product_prod(vEBT_VEBT,nat),$o)) ).

tff(func_def_1281,type,
    less_than: set(product_prod(nat,nat)) ).

tff(func_def_1282,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_1283,type,
    max_ext: 
      !>[X0: $tType] : ( set(product_prod(X0,X0)) > set(product_prod(set(X0),set(X0))) ) ).

tff(func_def_1284,type,
    measure: 
      !>[X0: $tType] : ( fun(X0,nat) > set(product_prod(X0,X0)) ) ).

tff(func_def_1285,type,
    min_ext: 
      !>[X0: $tType] : ( set(product_prod(X0,X0)) > set(product_prod(set(X0),set(X0))) ) ).

tff(func_def_1286,type,
    mlex_prod: 
      !>[X0: $tType] : ( ( fun(X0,nat) * set(product_prod(X0,X0)) ) > set(product_prod(X0,X0)) ) ).

tff(func_def_1287,type,
    pred_nat: set(product_prod(nat,nat)) ).

tff(func_def_1288,type,
    aa: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * X0 ) > X1 ) ).

tff(func_def_1289,type,
    fChoice: 
      !>[X0: $tType] : ( fun(X0,$o) > X0 ) ).

tff(func_def_1290,type,
    fNot: fun($o,$o) ).

tff(func_def_1291,type,
    fequal: 
      !>[X0: $tType] : fun(X0,fun(X0,$o)) ).

tff(func_def_1292,type,
    deg: nat ).

tff(func_def_1293,type,
    m: nat ).

tff(func_def_1294,type,
    ma: nat ).

tff(func_def_1295,type,
    mi: nat ).

tff(func_def_1296,type,
    na: nat ).

tff(func_def_1297,type,
    summary: vEBT_VEBT ).

tff(func_def_1298,type,
    treeList: list(vEBT_VEBT) ).

tff(func_def_1299,type,
    x: nat ).

tff(func_def_1300,type,
    l0: nat ).

tff(func_def_1301,type,
    h1: nat ).

tff(func_def_1302,type,
    minlow2: option(nat) ).

tff(func_def_1303,type,
    pr3: option(nat) ).

tff(func_def_1304,type,
    l4: nat ).

tff(func_def_1305,type,
    h5: nat ).

tff(func_def_1306,type,
    minlow6: option(nat) ).

tff(func_def_1307,type,
    pr7: option(nat) ).

tff(func_def_1308,type,
    l8: nat ).

tff(func_def_1309,type,
    h9: nat ).

tff(func_def_1310,type,
    maxlow10: option(nat) ).

tff(func_def_1311,type,
    sc11: option(nat) ).

tff(func_def_1312,type,
    l12: nat ).

tff(func_def_1313,type,
    h13: nat ).

tff(func_def_1314,type,
    maxlow14: option(nat) ).

tff(func_def_1315,type,
    sc15: option(nat) ).

tff(func_def_1316,type,
    newnode16: vEBT_VEBT ).

tff(func_def_1317,type,
    newlist17: list(vEBT_VEBT) ).

tff(func_def_1318,type,
    sn18: vEBT_VEBT ).

tff(func_def_1319,type,
    maxs19: option(nat) ).

tff(func_def_1320,type,
    maxs20: option(nat) ).

tff(func_def_1321,type,
    sn21: vEBT_VEBT ).

tff(func_def_1322,type,
    maxs22: option(nat) ).

tff(func_def_1323,type,
    xn23: nat ).

tff(func_def_1324,type,
    h24: nat ).

tff(func_def_1325,type,
    newnode25: vEBT_VEBT ).

tff(func_def_1326,type,
    newlist26: list(vEBT_VEBT) ).

tff(func_def_1327,type,
    sn27: vEBT_VEBT ).

tff(func_def_1328,type,
    maxs28: option(nat) ).

tff(func_def_1329,type,
    maxs29: option(nat) ).

tff(func_def_1330,type,
    sn30: vEBT_VEBT ).

tff(func_def_1331,type,
    maxs31: option(nat) ).

tff(func_def_1332,type,
    newnode32: vEBT_VEBT ).

tff(func_def_1333,type,
    newlist33: list(vEBT_VEBT) ).

tff(func_def_1334,type,
    sn34: vEBT_VEBT ).

tff(func_def_1335,type,
    maxs35: option(nat) ).

tff(func_def_1336,type,
    xn36: nat ).

tff(func_def_1337,type,
    minn37: nat ).

tff(func_def_1338,type,
    h38: nat ).

tff(func_def_1339,type,
    newnode39: vEBT_VEBT ).

tff(func_def_1340,type,
    newlist40: list(vEBT_VEBT) ).

tff(func_def_1341,type,
    sn41: vEBT_VEBT ).

tff(func_def_1342,type,
    maxs42: option(nat) ).

tff(func_def_1343,type,
    m243: 
      !>[X0: $tType] : X0 ).

tff(func_def_1344,type,
    m244: 
      !>[X0: $tType] : X0 ).

tff(func_def_1345,type,
    w45: 
      !>[X0: $tType] : X0 ).

tff(func_def_1346,type,
    w46: 
      !>[X0: $tType] : X0 ).

tff(func_def_1347,type,
    d47: int ).

tff(func_def_1348,type,
    h48: nat ).

tff(func_def_1349,type,
    h49: nat ).

tff(func_def_1350,type,
    h50: nat ).

tff(func_def_1351,type,
    h51: nat ).

tff(func_def_1352,type,
    h52: nat ).

tff(func_def_1353,type,
    h53: nat ).

tff(func_def_1354,type,
    l54: nat ).

tff(func_def_1355,type,
    h55: nat ).

tff(func_def_1356,type,
    maxlow56: option(nat) ).

tff(func_def_1357,type,
    sc57: option(nat) ).

tff(func_def_1358,type,
    l58: nat ).

tff(func_def_1359,type,
    h59: nat ).

tff(func_def_1360,type,
    minlow60: option(nat) ).

tff(func_def_1361,type,
    pr61: option(nat) ).

tff(func_def_1362,type,
    xn62: nat ).

tff(func_def_1363,type,
    minn63: nat ).

tff(func_def_1364,type,
    h64: nat ).

tff(func_def_1365,type,
    newnode65: vEBT_VEBT ).

tff(func_def_1366,type,
    newlist66: list(vEBT_VEBT) ).

tff(func_def_1367,type,
    sn67: vEBT_VEBT ).

tff(func_def_1368,type,
    maxs68: option(nat) ).

tff(func_def_1369,type,
    xn69: nat ).

tff(func_def_1370,type,
    minn70: nat ).

tff(func_def_1371,type,
    h71: nat ).

tff(func_def_1372,type,
    newnode72: vEBT_VEBT ).

tff(func_def_1373,type,
    newlist73: list(vEBT_VEBT) ).

tff(func_def_1374,type,
    sn74: vEBT_VEBT ).

tff(func_def_1375,type,
    maxs75: option(nat) ).

tff(func_def_1376,type,
    l76: nat ).

tff(func_def_1377,type,
    h77: nat ).

tff(func_def_1378,type,
    maxlow78: option(nat) ).

tff(func_def_1379,type,
    sc79: option(nat) ).

tff(func_def_1380,type,
    l80: nat ).

tff(func_def_1381,type,
    h81: nat ).

tff(func_def_1382,type,
    minlow82: option(nat) ).

tff(func_def_1383,type,
    pr83: option(nat) ).

tff(func_def_1384,type,
    xn84: nat ).

tff(func_def_1385,type,
    h85: nat ).

tff(func_def_1386,type,
    xn86: nat ).

tff(func_def_1387,type,
    h87: nat ).

tff(func_def_1388,type,
    l88: 
      !>[X0: $tType] : X0 ).

tff(func_def_1389,type,
    l89: nat ).

tff(func_def_1390,type,
    h90: nat ).

tff(func_def_1391,type,
    maxlow91: option(nat) ).

tff(func_def_1392,type,
    l92: nat ).

tff(func_def_1393,type,
    h93: nat ).

tff(func_def_1394,type,
    minlow94: option(nat) ).

tff(func_def_1395,type,
    l95: nat ).

tff(func_def_1396,type,
    h96: nat ).

tff(func_def_1397,type,
    minlow97: option(nat) ).

tff(func_def_1398,type,
    l98: nat ).

tff(func_def_1399,type,
    h99: nat ).

tff(func_def_1400,type,
    maxlow100: option(nat) ).

tff(func_def_1401,type,
    xn101: nat ).

tff(func_def_1402,type,
    h102: nat ).

tff(func_def_1403,type,
    h103: nat ).

tff(func_def_1404,type,
    xn104: nat ).

tff(func_def_1405,type,
    h105: nat ).

tff(func_def_1406,type,
    xn106: nat ).

tff(func_def_1407,type,
    h107: nat ).

tff(func_def_1408,type,
    h108: nat ).

tff(func_def_1409,type,
    xn109: nat ).

tff(func_def_1410,type,
    h110: nat ).

tff(func_def_1411,type,
    xn111: nat ).

tff(func_def_1412,type,
    l112: nat ).

tff(func_def_1413,type,
    h113: nat ).

tff(func_def_1414,type,
    newnode114: vEBT_VEBT ).

tff(func_def_1415,type,
    newlist115: list(vEBT_VEBT) ).

tff(func_def_1416,type,
    sn116: vEBT_VEBT ).

tff(func_def_1417,type,
    maxs117: option(nat) ).

tff(func_def_1418,type,
    pos118: nat ).

tff(func_def_1419,type,
    pos119: nat ).

tff(func_def_1420,type,
    pos120: nat ).

tff(func_def_1421,type,
    pos121: nat ).

tff(func_def_1422,type,
    pos122: nat ).

tff(func_def_1423,type,
    pos123: nat ).

tff(func_def_1424,type,
    pos124: nat ).

tff(func_def_1425,type,
    pos125: nat ).

tff(func_def_1426,type,
    pos126: nat ).

tff(func_def_1427,type,
    l127: nat ).

tff(func_def_1428,type,
    h128: nat ).

tff(func_def_1429,type,
    minlow129: option(nat) ).

tff(func_def_1430,type,
    pr130: option(nat) ).

tff(func_def_1431,type,
    l131: nat ).

tff(func_def_1432,type,
    h132: nat ).

tff(func_def_1433,type,
    maxlow133: option(nat) ).

tff(func_def_1434,type,
    sc134: option(nat) ).

tff(func_def_1435,type,
    l135: nat ).

tff(func_def_1436,type,
    h136: nat ).

tff(func_def_1437,type,
    minlow137: option(nat) ).

tff(func_def_1438,type,
    pr138: option(nat) ).

tff(func_def_1439,type,
    l139: nat ).

tff(func_def_1440,type,
    h140: nat ).

tff(func_def_1441,type,
    maxlow141: option(nat) ).

tff(func_def_1442,type,
    sc142: option(nat) ).

tff(func_def_1443,type,
    pos143: nat ).

tff(func_def_1444,type,
    pos144: nat ).

tff(func_def_1445,type,
    xn145: nat ).

tff(func_def_1446,type,
    l146: nat ).

tff(func_def_1447,type,
    h147: nat ).

tff(func_def_1448,type,
    newnode148: vEBT_VEBT ).

tff(func_def_1449,type,
    newlist149: list(vEBT_VEBT) ).

tff(func_def_1450,type,
    sn150: vEBT_VEBT ).

tff(func_def_1451,type,
    maxs151: option(nat) ).

tff(func_def_1452,type,
    pos152: nat ).

tff(func_def_1453,type,
    xn153: nat ).

tff(func_def_1454,type,
    l154: nat ).

tff(func_def_1455,type,
    h155: nat ).

tff(func_def_1456,type,
    newnode156: vEBT_VEBT ).

tff(func_def_1457,type,
    newlist157: list(vEBT_VEBT) ).

tff(func_def_1458,type,
    sn158: vEBT_VEBT ).

tff(func_def_1459,type,
    maxs159: option(nat) ).

tff(func_def_1460,type,
    l160: nat ).

tff(func_def_1461,type,
    h161: nat ).

tff(func_def_1462,type,
    maxlow162: option(nat) ).

tff(func_def_1463,type,
    sc163: option(nat) ).

tff(func_def_1464,type,
    l164: nat ).

tff(func_def_1465,type,
    h165: nat ).

tff(func_def_1466,type,
    minlow166: option(nat) ).

tff(func_def_1467,type,
    pr167: option(nat) ).

tff(func_def_1468,type,
    l168: nat ).

tff(func_def_1469,type,
    h169: nat ).

tff(func_def_1470,type,
    maxlow170: option(nat) ).

tff(func_def_1471,type,
    sc171: option(nat) ).

tff(func_def_1472,type,
    l172: nat ).

tff(func_def_1473,type,
    h173: nat ).

tff(func_def_1474,type,
    minlow174: option(nat) ).

tff(func_def_1475,type,
    pr175: option(nat) ).

tff(func_def_1476,type,
    xn176: nat ).

tff(func_def_1477,type,
    minn177: nat ).

tff(func_def_1478,type,
    h178: nat ).

tff(func_def_1479,type,
    newnode179: vEBT_VEBT ).

tff(func_def_1480,type,
    newlist180: list(vEBT_VEBT) ).

tff(func_def_1481,type,
    sn181: vEBT_VEBT ).

tff(func_def_1482,type,
    maxs182: option(nat) ).

tff(func_def_1483,type,
    l183: nat ).

tff(func_def_1484,type,
    h184: nat ).

tff(func_def_1485,type,
    maxlow185: option(nat) ).

tff(func_def_1486,type,
    xn186: nat ).

tff(func_def_1487,type,
    h187: nat ).

tff(func_def_1488,type,
    xn188: nat ).

tff(func_def_1489,type,
    h189: nat ).

tff(func_def_1490,type,
    l190: nat ).

tff(func_def_1491,type,
    h191: nat ).

tff(func_def_1492,type,
    minlow192: option(nat) ).

tff(func_def_1493,type,
    xn193: nat ).

tff(func_def_1494,type,
    h194: nat ).

tff(func_def_1495,type,
    h195: nat ).

tff(func_def_1496,type,
    h196: nat ).

tff(func_def_1497,type,
    h197: nat ).

tff(func_def_1498,type,
    h198: nat ).

tff(func_def_1499,type,
    pos199: nat ).

tff(func_def_1500,type,
    pos200: nat ).

tff(func_def_1501,type,
    pos201: nat ).

tff(func_def_1502,type,
    h202: nat ).

tff(func_def_1503,type,
    pos203: nat ).

tff(func_def_1504,type,
    pos204: nat ).

tff(func_def_1505,type,
    pos205: nat ).

tff(func_def_1506,type,
    pos206: nat ).

tff(func_def_1507,type,
    pos207: nat ).

tff(func_def_1508,type,
    pos208: nat ).

tff(func_def_1509,type,
    half209: nat ).

tff(func_def_1510,type,
    half210: nat ).

tff(func_def_1511,type,
    half211: nat ).

tff(func_def_1512,type,
    half212: nat ).

tff(func_def_1513,type,
    half213: nat ).

tff(func_def_1514,type,
    half214: nat ).

tff(func_def_1515,type,
    l215: 
      !>[X0: $tType] : X0 ).

tff(func_def_1516,type,
    l216: code_integer ).

tff(func_def_1517,type,
    pv217: nat ).

tff(func_def_1518,type,
    pv218: nat ).

tff(func_def_1519,type,
    a2219: int ).

tff(func_def_1520,type,
    a2220: int ).

tff(func_def_1521,type,
    k221: code_integer ).

tff(func_def_1522,type,
    n222: nat ).

tff(func_def_1523,type,
    m2223: nat ).

tff(func_def_1524,type,
    n224: nat ).

tff(func_def_1525,type,
    m2225: nat ).

tff(func_def_1526,type,
    n226: nat ).

tff(func_def_1527,type,
    m2227: nat ).

tff(func_def_1528,type,
    n228: nat ).

tff(func_def_1529,type,
    m2229: nat ).

tff(func_def_1530,type,
    n230: nat ).

tff(func_def_1531,type,
    m2231: nat ).

tff(func_def_1532,type,
    n232: nat ).

tff(func_def_1533,type,
    m2233: nat ).

tff(func_def_1534,type,
    n234: nat ).

tff(func_def_1535,type,
    m2235: nat ).

tff(func_def_1536,type,
    k236: code_integer ).

tff(func_def_1537,type,
    l237: code_integer ).

tff(func_def_1538,type,
    m2238: 
      !>[X0: $tType] : X0 ).

tff(func_def_1539,type,
    m2239: 
      !>[X0: $tType] : X0 ).

tff(func_def_1540,type,
    m2240: 
      !>[X0: $tType] : X0 ).

tff(func_def_1541,type,
    m2241: nat ).

tff(func_def_1542,type,
    m2242: nat ).

tff(func_def_1543,type,
    l2243: int ).

tff(func_def_1544,type,
    m3244: a ).

tff(func_def_1545,type,
    l2245: num ).

tff(func_def_1546,type,
    l3246: num ).

tff(func_def_1547,type,
    l2247: nat ).

tff(func_def_1548,type,
    l3248: nat ).

tff(func_def_1551,type,
    sK249: 
      !>[X0: $tType] : ( fun(nat,X0) > nat ) ).

tff(func_def_1552,type,
    sK250: ( nat * nat * fun(nat,$o) ) > nat ).

tff(func_def_1553,type,
    sK251: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_1554,type,
    sK252: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_1555,type,
    sK253: 
      !>[X0: $tType] : ( ( X0 * set(X0) ) > X0 ) ).

tff(func_def_1556,type,
    sK254: fun(rat,$o) > int ).

tff(func_def_1557,type,
    sK255: fun(rat,$o) > int ).

tff(func_def_1558,type,
    sK256: rat > rat ).

tff(func_def_1559,type,
    sK257: rat > rat ).

tff(func_def_1560,type,
    sK258: fun(nat,$o) > nat ).

tff(func_def_1561,type,
    sK259: 
      !>[X0: $tType] : ( ( fun(X0,$o) * X0 * set(X0) ) > real ) ).

tff(func_def_1562,type,
    sK260: 
      !>[X0: $tType] : ( ( fun(X0,$o) * X0 * set(X0) * real ) > X0 ) ).

tff(func_def_1563,type,
    sK261: 
      !>[X0: $tType] : ( ( option(X0) * fun(X0,$o) * fun(X0,$o) ) > X0 ) ).

tff(func_def_1564,type,
    sK262: 
      !>[X0: $tType] : ( fun(nat,X0) > nat ) ).

tff(func_def_1565,type,
    sK263: 
      !>[X0: $tType] : ( fun(nat,X0) > nat ) ).

tff(func_def_1566,type,
    sK264: ( real * fun(nat,real) ) > nat ).

tff(func_def_1567,type,
    sK265: ( real * fun(nat,real) ) > real ).

tff(func_def_1568,type,
    sK266: fun(nat,real) > nat ).

tff(func_def_1569,type,
    sK267: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * fun(X1,X0) * list(X1) ) > X1 ) ).

tff(func_def_1570,type,
    sK268: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( fun(X0,X2) * fun(X1,X2) * set(X0) * set(X1) ) > X0 ) ).

tff(func_def_1571,type,
    sK269: 
      !>[X0: $tType,X1: $tType] : ( ( fun(nat,real) * real * fun(X0,fun(nat,X1)) ) > X0 ) ).

tff(func_def_1572,type,
    sK270: 
      !>[X0: $tType,X1: $tType] : ( ( fun(nat,real) * real * fun(X0,fun(nat,X1)) ) > nat ) ).

tff(func_def_1573,type,
    sK271: 
      !>[X0: $tType] : ( product_prod(X0,X0) > X0 ) ).

tff(func_def_1574,type,
    sK272: 
      !>[X0: $tType] : ( product_prod(X0,X0) > X0 ) ).

tff(func_def_1575,type,
    sK273: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_1576,type,
    sK274: 
      !>[X0: $tType] : ( ( $o * option(X0) * fun(X0,fun(X0,$o)) * option(X0) ) > X0 ) ).

tff(func_def_1577,type,
    sK277: 
      !>[X0: $tType] : ( option(X0) > X0 ) ).

tff(func_def_1578,type,
    sK278: 
      !>[X0: $tType] : ( ( $o * fun(X0,fun(X0,$o)) * option(X0) * X0 ) > X0 ) ).

tff(func_def_1579,type,
    sK279: 
      !>[X0: $tType] : ( X0 > nat ) ).

tff(func_def_1580,type,
    sK280: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,fun(X1,$o)) * list(X0) * list(X1) ) > nat ) ).

tff(func_def_1581,type,
    sK281: 
      !>[X0: $tType,X1: $tType] : ( ( X0 * option(X1) * fun(X0,fun(X1,$o)) ) > X1 ) ).

tff(func_def_1582,type,
    sK282: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,fun(X1,$o)) * option(X0) * option(X1) * fun(X0,fun(X1,$o)) ) > X0 ) ).

tff(func_def_1583,type,
    sK283: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,fun(X1,$o)) * option(X0) * option(X1) * fun(X0,fun(X1,$o)) ) > X1 ) ).

tff(func_def_1584,type,
    sK284: 
      !>[X0: $tType,X1: $tType] : ( fun(X0,X1) > nat ) ).

tff(func_def_1585,type,
    sK285: 
      !>[X0: $tType,X1: $tType] : ( fun(X0,X1) > real ) ).

tff(func_def_1586,type,
    sK286: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * nat ) > X0 ) ).

tff(func_def_1587,type,
    sK287: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * real ) > X0 ) ).

tff(func_def_1588,type,
    sK288: ( fun(real,real) * real * set(real) ) > real ).

tff(func_def_1589,type,
    sK289: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * fun(X0,X1) * set(X0) ) > X0 ) ).

tff(func_def_1590,type,
    sK290: 
      !>[X0: $tType] : ( fun(nat,X0) > real ) ).

tff(func_def_1591,type,
    sK291: ( nat * fun(nat,$o) ) > nat ).

tff(func_def_1592,type,
    sK292: ( nat * fun(nat,$o) ) > nat ).

tff(func_def_1593,type,
    sK293: 
      !>[X0: $tType] : ( ( X0 * set(X0) ) > X0 ) ).

tff(func_def_1594,type,
    sK294: ( nat * nat * fun(nat,$o) ) > nat ).

tff(func_def_1595,type,
    sK295: ( nat * nat * fun(nat,$o) ) > nat ).

tff(func_def_1596,type,
    sK296: ( real * fun(real,real) ) > real ).

tff(func_def_1597,type,
    sK297: 
      !>[X0: $tType] : ( ( fun(X0,$o) * X0 ) > X0 ) ).

tff(func_def_1598,type,
    sK298: 
      !>[X0: $tType] : ( ( fun(X0,$o) * X0 ) > X0 ) ).

tff(func_def_1599,type,
    sK299: fun(nat,real) > nat ).

tff(func_def_1600,type,
    sK300: 
      !>[X0: $tType] : ( ( X0 * X0 ) > X0 ) ).

tff(func_def_1601,type,
    sK301: 
      !>[X0: $tType] : ( ( X0 * X0 ) > X0 ) ).

tff(func_def_1602,type,
    sK304: product_prod(vEBT_VEBT,nat) > nat ).

tff(func_def_1603,type,
    sK305: product_prod(vEBT_VEBT,nat) > product_prod(nat,nat) ).

tff(func_def_1604,type,
    sK306: product_prod(vEBT_VEBT,nat) > list(vEBT_VEBT) ).

tff(func_def_1605,type,
    sK307: product_prod(vEBT_VEBT,nat) > nat ).

tff(func_def_1606,type,
    sK308: product_prod(vEBT_VEBT,nat) > vEBT_VEBT ).

tff(func_def_1607,type,
    sK309: product_prod(vEBT_VEBT,nat) > list(vEBT_VEBT) ).

tff(func_def_1608,type,
    sK310: product_prod(vEBT_VEBT,nat) > vEBT_VEBT ).

tff(func_def_1609,type,
    sK311: product_prod(vEBT_VEBT,nat) > nat ).

tff(func_def_1610,type,
    sK312: product_prod(vEBT_VEBT,nat) > nat ).

tff(func_def_1611,type,
    sK315: product_prod(vEBT_VEBT,nat) > list(vEBT_VEBT) ).

tff(func_def_1612,type,
    sK316: product_prod(vEBT_VEBT,nat) > nat ).

tff(func_def_1613,type,
    sK317: product_prod(vEBT_VEBT,nat) > vEBT_VEBT ).

tff(func_def_1614,type,
    sK318: product_prod(vEBT_VEBT,nat) > product_prod(nat,nat) ).

tff(func_def_1615,type,
    sK319: product_prod(vEBT_VEBT,nat) > nat ).

tff(func_def_1616,type,
    sK320: product_prod(vEBT_VEBT,nat) > nat ).

tff(func_def_1617,type,
    sK321: product_prod(vEBT_VEBT,nat) > nat ).

tff(func_def_1618,type,
    sK322: product_prod(vEBT_VEBT,nat) > list(vEBT_VEBT) ).

tff(func_def_1619,type,
    sK323: product_prod(vEBT_VEBT,nat) > vEBT_VEBT ).

tff(func_def_1620,type,
    sK324: product_prod(vEBT_VEBT,nat) > nat ).

tff(func_def_1621,type,
    sK345: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_1622,type,
    sK346: 
      !>[X0: $tType,X1: $tType] : ( fun(X1,X0) > real ) ).

tff(func_def_1623,type,
    sK347: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * real ) > real ) ).

tff(func_def_1624,type,
    sK348: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * real ) > X1 ) ).

tff(func_def_1625,type,
    sK349: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * real ) > X1 ) ).

tff(func_def_1626,type,
    sK350: rat > product_prod(int,int) ).

tff(func_def_1627,type,
    sK351: 
      !>[X0: $tType,X1: $tType] : ( ( X0 * X0 * fun(X0,X1) ) > X0 ) ).

tff(func_def_1628,type,
    sK352: 
      !>[X0: $tType,X1: $tType] : ( ( X1 * filter(X0) * fun(X0,X1) ) > X1 ) ).

tff(func_def_1629,type,
    sK353: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,X1) * fun(X0,X1) ) > X0 ) ).

tff(func_def_1630,type,
    sK354: ( real * real ) > nat ).

tff(func_def_1631,type,
    sK355: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_1632,type,
    sK356: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( fun(X1,X2) * set(X1) * fun(X2,X0) ) > X1 ) ).

tff(func_def_1633,type,
    sK357: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) ) > nat ) ).

tff(func_def_1634,type,
    sK358: ( real * fun(real,real) * real ) > real ).

tff(func_def_1635,type,
    sK359: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * set(X0) * set(X0) ) > X0 ) ).

tff(func_def_1636,type,
    sK360: 
      !>[X0: $tType,X1: $tType] : ( fun(X1,X0) > X1 ) ).

tff(func_def_1637,type,
    sK361: 
      !>[X0: $tType,X1: $tType] : ( fun(X1,X0) > X1 ) ).

tff(func_def_1638,type,
    sK362: 
      !>[X0: $tType] : ( ( X0 * list(X0) ) > nat ) ).

tff(func_def_1639,type,
    sK363: 
      !>[X0: $tType] : ( ( fun(X0,$o) * fun(X0,$o) * fun(X0,$o) * fun(X0,$o) ) > X0 ) ).

tff(func_def_1640,type,
    sK364: 
      !>[X0: $tType] : ( ( fun(X0,$o) * fun(X0,$o) * X0 ) > X0 ) ).

tff(func_def_1641,type,
    sK365: 
      !>[X0: $tType] : ( ( fun(X0,$o) * fun(X0,$o) * X0 ) > X0 ) ).

tff(func_def_1642,type,
    sK368: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( X1 * fun(X0,X2) * fun(X0,X1) * X2 * X0 ) > X0 ) ).

tff(func_def_1643,type,
    sK369: 
      !>[X0: $tType] : ( ( nat * fun(nat,X0) * X0 ) > nat ) ).

tff(func_def_1644,type,
    sK370: 
      !>[X0: $tType] : ( ( fun(X0,$o) * X0 ) > X0 ) ).

tff(func_def_1645,type,
    sK373: ( vEBT_VEBT * nat * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_1646,type,
    sK374: ( vEBT_VEBT * nat * vEBT_VEBT ) > list(vEBT_VEBT) ).

tff(func_def_1647,type,
    sK375: ( vEBT_VEBT * nat * vEBT_VEBT ) > nat ).

tff(func_def_1648,type,
    sK376: ( vEBT_VEBT * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_1649,type,
    sK377: ( vEBT_VEBT * vEBT_VEBT ) > list(vEBT_VEBT) ).

tff(func_def_1650,type,
    sK378: ( vEBT_VEBT * vEBT_VEBT ) > option(product_prod(nat,nat)) ).

tff(func_def_1651,type,
    sK379: ( vEBT_VEBT * nat * vEBT_VEBT ) > nat ).

tff(func_def_1652,type,
    sK380: ( vEBT_VEBT * nat * vEBT_VEBT ) > list(vEBT_VEBT) ).

tff(func_def_1653,type,
    sK381: ( vEBT_VEBT * nat * vEBT_VEBT ) > nat ).

tff(func_def_1654,type,
    sK382: ( vEBT_VEBT * nat * vEBT_VEBT ) > nat ).

tff(func_def_1655,type,
    sK383: ( vEBT_VEBT * nat * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_1656,type,
    sK384: ( vEBT_VEBT * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_1657,type,
    sK385: ( vEBT_VEBT * vEBT_VEBT ) > option(product_prod(nat,nat)) ).

tff(func_def_1658,type,
    sK386: ( vEBT_VEBT * vEBT_VEBT ) > list(vEBT_VEBT) ).

tff(func_def_1659,type,
    sK401: fun(nat,real) > nat ).

tff(func_def_1660,type,
    sK402: 
      !>[X0: $tType] : ( ( X0 * fun(X0,nat) * nat * fun(X0,$o) ) > X0 ) ).

tff(func_def_1661,type,
    sK403: 
      !>[X0: $tType] : ( ( fun(X0,nat) * fun(X0,$o) ) > X0 ) ).

tff(func_def_1662,type,
    sK404: 
      !>[X0: $tType] : ( ( set(X0) * set(X0) ) > X0 ) ).

tff(func_def_1663,type,
    sK405: ( list(vEBT_VEBT) * nat ) > vEBT_VEBT ).

tff(func_def_1664,type,
    sK406: vEBT_VEBT > nat ).

tff(func_def_1665,type,
    sK407: list(vEBT_VEBT) > vEBT_VEBT ).

tff(func_def_1666,type,
    sK408: list(vEBT_VEBT) > nat ).

tff(func_def_1667,type,
    sK409: 
      !>[X0: $tType,X1: $tType] : ( ( option(X0) * fun(X0,option(X1)) * fun(X0,option(X1)) ) > X0 ) ).

tff(func_def_1668,type,
    sK410: ( set(int) * int * fun(int,$o) ) > int ).

tff(func_def_1669,type,
    sK411: ( set(int) * int * fun(int,$o) ) > int ).

tff(func_def_1670,type,
    sK416: ( set(int) * int * int ) > int ).

tff(func_def_1671,type,
    sK417: ( set(int) * int * int ) > int ).

tff(func_def_1672,type,
    sK418: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_1673,type,
    sK419: 
      !>[X0: $tType] : ( ( set(X0) * set(set(X0)) ) > fun(set(X0),X0) ) ).

tff(func_def_1674,type,
    sK420: 
      !>[X0: $tType] : ( ( set(set(X0)) * fun(set(X0),X0) ) > set(X0) ) ).

tff(func_def_1675,type,
    sK421: 
      !>[X0: $tType] : ( fun(X0,X0) > X0 ) ).

tff(func_def_1676,type,
    sK422: 
      !>[X0: $tType] : ( fun(X0,X0) > X0 ) ).

tff(func_def_1677,type,
    sK423: 
      !>[X0: $tType] : ( X0 > fun(nat,X0) ) ).

tff(func_def_1678,type,
    sK424: ( fun(real,real) * real ) > real ).

tff(func_def_1679,type,
    sK425: set(nat) > nat ).

tff(func_def_1680,type,
    sK426: ( set(nat) * nat ) > nat ).

tff(func_def_1681,type,
    sK427: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_1682,type,
    sK428: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_1683,type,
    sK429: 
      !>[X0: $tType] : ( fun(nat,X0) > nat ) ).

tff(func_def_1684,type,
    sK430: ( real * fun(real,real) * real ) > real ).

tff(func_def_1685,type,
    sK431: real > real ).

tff(func_def_1686,type,
    sK432: 
      !>[X0: $tType] : ( fun(nat,X0) > nat ) ).

tff(func_def_1687,type,
    sK433: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( fun(X0,fun(X2,X1)) * product_prod(X0,X2) * fun(X0,fun(X2,X1)) ) > X0 ) ).

tff(func_def_1688,type,
    sK434: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( fun(X0,fun(X2,X1)) * product_prod(X0,X2) * fun(X0,fun(X2,X1)) ) > X2 ) ).

tff(func_def_1689,type,
    sK439: ( vEBT_VEBT * vEBT_VEBT ) > list(vEBT_VEBT) ).

tff(func_def_1690,type,
    sK440: ( vEBT_VEBT * vEBT_VEBT ) > nat ).

tff(func_def_1691,type,
    sK441: ( vEBT_VEBT * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_1692,type,
    sK442: ( vEBT_VEBT * vEBT_VEBT ) > nat ).

tff(func_def_1693,type,
    sK443: ( vEBT_VEBT * vEBT_VEBT ) > list(vEBT_VEBT) ).

tff(func_def_1694,type,
    sK444: ( vEBT_VEBT * vEBT_VEBT ) > nat ).

tff(func_def_1695,type,
    sK445: ( vEBT_VEBT * vEBT_VEBT ) > nat ).

tff(func_def_1696,type,
    sK446: ( vEBT_VEBT * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_1697,type,
    sK448: ( vEBT_VEBT * vEBT_VEBT ) > list(vEBT_VEBT) ).

tff(func_def_1698,type,
    sK449: ( vEBT_VEBT * vEBT_VEBT ) > nat ).

tff(func_def_1699,type,
    sK450: ( vEBT_VEBT * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_1700,type,
    sK451: ( nat * vEBT_VEBT * vEBT_VEBT ) > list(vEBT_VEBT) ).

tff(func_def_1701,type,
    sK452: ( nat * vEBT_VEBT * vEBT_VEBT ) > nat ).

tff(func_def_1702,type,
    sK453: ( nat * vEBT_VEBT * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_1703,type,
    sK454: ( nat * vEBT_VEBT * vEBT_VEBT ) > nat ).

tff(func_def_1704,type,
    sK455: ( nat * vEBT_VEBT * vEBT_VEBT ) > nat ).

tff(func_def_1705,type,
    sK461: nat > nat ).

tff(func_def_1706,type,
    sK620: 
      !>[X0: $tType] : ( ( X0 * fun(nat,X0) * nat ) > nat ) ).

tff(func_def_1707,type,
    sK621: 
      !>[X0: $tType] : ( ( fun(X0,$o) * fun(X0,$o) ) > X0 ) ).

tff(func_def_1708,type,
    sK622: 
      !>[X0: $tType] : ( ( fun(X0,X0) * X0 ) > X0 ) ).

tff(func_def_1709,type,
    sK623: 
      !>[X0: $tType] : ( ( fun(nat,X0) * fun(nat,X0) ) > nat ) ).

tff(func_def_1710,type,
    sK624: ( nat * nat ) > nat ).

tff(func_def_1711,type,
    sK625: ( real * nat ) > real ).

tff(func_def_1712,type,
    sK626: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_1713,type,
    sK627: 
      !>[X0: $tType,X1: $tType] : ( fun(X0,X1) > X0 ) ).

tff(func_def_1714,type,
    sK628: 
      !>[X0: $tType,X1: $tType] : ( fun(X0,X1) > X0 ) ).

tff(func_def_1715,type,
    sK629: 
      !>[X0: $tType] : ( ( list(list(X0)) * nat ) > nat ) ).

tff(func_def_1716,type,
    sK630: fun(nat,$o) > nat ).

tff(func_def_1717,type,
    sK631: 
      !>[X0: $tType] : ( X0 > X0 ) ).

tff(func_def_1718,type,
    sK632: 
      !>[X0: $tType,X1: $tType] : ( ( option(X1) * fun(X1,option(X0)) * X0 ) > X1 ) ).

tff(func_def_1719,type,
    sK633: ( fun(real,real) * real * set(real) ) > real ).

tff(func_def_1720,type,
    sK634: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * filter(X0) * X1 ) > X1 ) ).

tff(func_def_1721,type,
    sK635: 
      !>[X0: $tType] : set(X0) ).

tff(func_def_1722,type,
    sK636: ( set(int) * int * int ) > int ).

tff(func_def_1723,type,
    sK637: ( set(int) * int * int ) > int ).

tff(func_def_1724,type,
    sK638: 
      !>[X0: $tType] : ( fun(nat,X0) > real ) ).

tff(func_def_1725,type,
    sK639: 
      !>[X0: $tType] : ( fun(nat,X0) > X0 ) ).

tff(func_def_1726,type,
    sK640: 
      !>[X0: $tType] : ( ( fun(nat,X0) * real * X0 ) > nat ) ).

tff(func_def_1727,type,
    sK641: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) ) > X0 ) ).

tff(func_def_1728,type,
    sK642: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) ) > list(X0) ) ).

tff(func_def_1729,type,
    sK643: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) ) > list(X0) ) ).

tff(func_def_1730,type,
    sK644: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) ) > list(X0) ) ).

tff(func_def_1731,type,
    sK645: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) ) > list(X0) ) ).

tff(func_def_1732,type,
    sK646: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) ) > X0 ) ).

tff(func_def_1733,type,
    sK647: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) ) > X0 ) ).

tff(func_def_1734,type,
    sK648: 
      !>[X0: $tType] : ( ( X0 * set(X0) ) > X0 ) ).

tff(func_def_1735,type,
    sK649: ( int * set(int) * fun(int,$o) ) > int ).

tff(func_def_1736,type,
    sK650: ( int * set(int) * fun(int,$o) ) > int ).

tff(func_def_1737,type,
    sK655: ( int * set(int) * int ) > int ).

tff(func_def_1738,type,
    sK656: ( int * set(int) * int ) > int ).

tff(func_def_1739,type,
    sK657: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * X1 * set(X0) ) > X0 ) ).

tff(func_def_1740,type,
    sK658: 
      !>[X0: $tType] : ( ( fun(nat,X0) * fun(nat,X0) * nat ) > nat ) ).

tff(func_def_1741,type,
    sK659: ( fun(nat,nat) * nat ) > nat ).

tff(func_def_1742,type,
    sK660: ( fun(nat,nat) * nat ) > nat ).

tff(func_def_1743,type,
    sK661: ( fun(nat,nat) * nat ) > nat ).

tff(func_def_1744,type,
    sK662: ( fun(nat,nat) * nat ) > nat ).

tff(func_def_1745,type,
    sK663: 
      !>[X0: $tType] : ( ( fun(X0,nat) * fun(X0,$o) * fun(X0,X0) ) > X0 ) ).

tff(func_def_1746,type,
    sK664: 
      !>[X0: $tType] : ( X0 > nat ) ).

tff(func_def_1747,type,
    sK665: ( int * int ) > nat ).

tff(func_def_1748,type,
    sK666: ( fun(int,$o) * int ) > int ).

tff(func_def_1749,type,
    sK667: ( fun(int,$o) * int ) > int ).

tff(func_def_1750,type,
    sK668: fun(int,$o) > int ).

tff(func_def_1751,type,
    sK669: ( fun(int,$o) * fun(int,$o) * int ) > int ).

tff(func_def_1752,type,
    sK670: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,$o) * X1 * fun(X1,X0) ) > X1 ) ).

tff(func_def_1753,type,
    sK671: 
      !>[X0: $tType] : ( X0 > X0 ) ).

tff(func_def_1754,type,
    sK672: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * fun(X0,$o) * list(X0) ) > X0 ) ).

tff(func_def_1755,type,
    sK673: ( nat * real ) > real ).

tff(func_def_1756,type,
    sK674: 
      !>[X0: $tType] : ( ( X0 * set(X0) ) > X0 ) ).

tff(func_def_1757,type,
    sK675: real > nat ).

tff(func_def_1758,type,
    sK676: real > nat ).

tff(func_def_1759,type,
    sK677: 
      !>[X0: $tType] : ( ( X0 * set(X0) ) > X0 ) ).

tff(func_def_1760,type,
    sK678: 
      !>[X0: $tType] : ( ( X0 * set(X0) ) > X0 ) ).

tff(func_def_1761,type,
    sK679: real > real ).

tff(func_def_1762,type,
    sK680: 
      !>[X0: $tType] : ( ( fun(X0,$o) * set(X0) ) > real ) ).

tff(func_def_1763,type,
    sK681: 
      !>[X0: $tType] : ( ( fun(X0,$o) * set(X0) ) > X0 ) ).

tff(func_def_1764,type,
    sK682: 
      !>[X0: $tType] : ( ( fun(X0,$o) * set(X0) ) > X0 ) ).

tff(func_def_1765,type,
    sK683: fun(nat,real) > nat ).

tff(func_def_1766,type,
    sK684: ( fun(nat,real) * fun(nat,real) ) > nat ).

tff(func_def_1767,type,
    sK685: fun(nat,real) > nat ).

tff(func_def_1768,type,
    sK686: ( fun(nat,real) * fun(nat,real) ) > real ).

tff(func_def_1769,type,
    sK687: fun(nat,$o) > nat ).

tff(func_def_1770,type,
    sK688: ( fun(nat,$o) * nat ) > nat ).

tff(func_def_1771,type,
    sK689: 
      !>[X0: $tType] : ( ( option(X0) * fun(X0,fun(X0,$o)) * option(X0) ) > X0 ) ).

tff(func_def_1772,type,
    sK690: 
      !>[X0: $tType] : ( option(X0) > X0 ) ).

tff(func_def_1773,type,
    sK691: 
      !>[X0: $tType] : ( ( option(X0) * fun(X0,fun(X0,$o)) * option(X0) ) > X0 ) ).

tff(func_def_1774,type,
    sK692: ( fun(nat,real) * nat ) > nat ).

tff(func_def_1775,type,
    sK693: ( nat * real ) > real ).

tff(func_def_1776,type,
    sK694: ( fun(nat,real) * fun(nat,real) * nat ) > nat ).

tff(func_def_1777,type,
    sK695: 
      !>[X0: $tType] : ( ( fun(nat,X0) * fun(nat,X0) ) > nat ) ).

tff(func_def_1778,type,
    sK696: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_1779,type,
    sK697: ( list(nat) * nat ) > list(nat) ).

tff(func_def_1780,type,
    sK698: ( list(nat) * nat ) > nat ).

tff(func_def_1781,type,
    sK699: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_1782,type,
    sK700: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_1783,type,
    sK701: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_1784,type,
    sK702: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * fun(X0,$o) * fun(X1,$o) ) > X0 ) ).

tff(func_def_1785,type,
    sK703: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * fun(X1,$o) ) > X1 ) ).

tff(func_def_1786,type,
    sK704: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * fun(X1,$o) ) > X1 ) ).

tff(func_def_1787,type,
    sK705: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * fun(X0,X1) * fun(X0,$o) ) > X0 ) ).

tff(func_def_1788,type,
    sK706: 
      !>[X0: $tType] : ( ( X0 * fun(X0,$o) ) > X0 ) ).

tff(func_def_1789,type,
    sK708: ( rat * fun(nat,rat) ) > nat ).

tff(func_def_1790,type,
    sK709: 
      !>[X0: $tType] : ( ( set(X0) * set(X0) ) > nat ) ).

tff(func_def_1791,type,
    sK710: 
      !>[X0: $tType] : ( X0 > X0 ) ).

tff(func_def_1792,type,
    sK711: 
      !>[X0: $tType] : ( X0 > nat ) ).

tff(func_def_1793,type,
    sK712: ( nat * vEBT_VEBT * nat ) > nat ).

tff(func_def_1794,type,
    sK713: ( nat * vEBT_VEBT * nat ) > nat ).

tff(func_def_1795,type,
    sK714: ( nat * vEBT_VEBT * nat ) > list(vEBT_VEBT) ).

tff(func_def_1796,type,
    sK715: ( nat * vEBT_VEBT * nat ) > nat ).

tff(func_def_1797,type,
    sK716: ( nat * vEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_1798,type,
    sK719: vEBT_VEBT > list(vEBT_VEBT) ).

tff(func_def_1799,type,
    sK720: vEBT_VEBT > option(product_prod(nat,nat)) ).

tff(func_def_1800,type,
    sK721: vEBT_VEBT > vEBT_VEBT ).

tff(func_def_1801,type,
    sK723: vEBT_VEBT > list(vEBT_VEBT) ).

tff(func_def_1802,type,
    sK724: vEBT_VEBT > option(product_prod(nat,nat)) ).

tff(func_def_1803,type,
    sK725: vEBT_VEBT > vEBT_VEBT ).

tff(func_def_1804,type,
    sK726: vEBT_VEBT > nat ).

tff(func_def_1805,type,
    sK727: vEBT_VEBT > vEBT_VEBT ).

tff(func_def_1806,type,
    sK728: vEBT_VEBT > list(vEBT_VEBT) ).

tff(func_def_1807,type,
    sK732: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_1808,type,
    sK733: 
      !>[X0: $tType] : ( ( fun(X0,X0) * fun(X0,X0) ) > X0 ) ).

tff(func_def_1809,type,
    sK734: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * real ) > X1 ) ).

tff(func_def_1810,type,
    sK735: 
      !>[X0: $tType] : ( ( fun(nat,X0) * real ) > nat ) ).

tff(func_def_1811,type,
    sK736: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_1812,type,
    sK737: ( real * real * fun(real,real) ) > real ).

tff(func_def_1813,type,
    sK738: ( real * real * fun(real,real) * fun(real,real) ) > real ).

tff(func_def_1814,type,
    sK739: 
      !>[X0: $tType] : ( list(X0) > nat ) ).

tff(func_def_1815,type,
    sK740: ( list(vEBT_VEBT) * nat ) > vEBT_VEBT ).

tff(func_def_1816,type,
    sK741: 
      !>[X0: $tType] : X0 ).

tff(func_def_1817,type,
    sK742: 
      !>[X0: $tType] : X0 ).

tff(func_def_1818,type,
    sK743: ( set(int) * int * int ) > int ).

tff(func_def_1819,type,
    sK744: ( set(int) * int * int ) > int ).

tff(func_def_1820,type,
    sK745: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * set(X0) * X1 ) > X0 ) ).

tff(func_def_1821,type,
    sK746: 
      !>[X0: $tType] : ( ( X0 * set(X0) ) > X0 ) ).

tff(func_def_1822,type,
    sK747: real > real ).

tff(func_def_1823,type,
    sK748: 
      !>[X0: $tType,X1: $tType] : ( ( set(set(X1)) * fun(X1,X0) ) > set(X1) ) ).

tff(func_def_1824,type,
    sK749: 
      !>[X0: $tType] : ( set(set(X0)) > set(X0) ) ).

tff(func_def_1825,type,
    sK750: 
      !>[X0: $tType,X1: $tType] : ( ( set(set(X1)) * fun(X1,X0) ) > set(X1) ) ).

tff(func_def_1826,type,
    sK751: 
      !>[X0: $tType,X1: $tType] : ( ( set(set(X1)) * fun(X1,X0) ) > X1 ) ).

tff(func_def_1827,type,
    sK752: 
      !>[X0: $tType] : ( fun(X0,$o) > X0 ) ).

tff(func_def_1828,type,
    sK753: 
      !>[X0: $tType] : ( ( fun(X0,$o) * X0 ) > X0 ) ).

tff(func_def_1829,type,
    sK754: 
      !>[X0: $tType] : ( ( set(X0) * fun(X0,real) ) > X0 ) ).

tff(func_def_1830,type,
    sK755: 
      !>[X0: $tType] : ( fun(nat,X0) > nat ) ).

tff(func_def_1831,type,
    sK756: 
      !>[X0: $tType] : ( fun(nat,X0) > nat ) ).

tff(func_def_1832,type,
    sK757: 
      !>[X0: $tType] : ( ( X0 * set(X0) ) > X0 ) ).

tff(func_def_1833,type,
    sK758: 
      !>[X0: $tType] : ( fun(X0,nat) > fun(X0,nat) ) ).

tff(func_def_1834,type,
    sK759: int > nat ).

tff(func_def_1835,type,
    sK760: int > nat ).

tff(func_def_1836,type,
    sK761: 
      !>[X0: $tType] : ( set(product_prod(X0,X0)) > X0 ) ).

tff(func_def_1837,type,
    sK762: 
      !>[X0: $tType] : ( set(product_prod(X0,X0)) > X0 ) ).

tff(func_def_1838,type,
    sK763: 
      !>[X0: $tType,X1: $tType] : ( ( set(product_prod(X0,X0)) * fun(X1,X0) * fun(X1,$o) ) > X1 ) ).

tff(func_def_1839,type,
    sK764: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_1840,type,
    sK765: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_1841,type,
    sK766: 
      !>[X0: $tType] : ( ( nat * list(list(X0)) ) > list(X0) ) ).

tff(func_def_1842,type,
    sK767: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_1843,type,
    sK768: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_1844,type,
    sK769: 
      !>[X0: $tType] : ( fun(nat,X0) > nat ) ).

tff(func_def_1845,type,
    sK770: ( fun(nat,real) * real ) > nat ).

tff(func_def_1846,type,
    sK771: fun(nat,real) > real ).

tff(func_def_1847,type,
    sK772: ( set(nat) * nat * nat ) > nat ).

tff(func_def_1848,type,
    sK773: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_1849,type,
    sK774: 
      !>[X0: $tType] : ( fun(nat,X0) > real ) ).

tff(func_def_1850,type,
    sK775: 
      !>[X0: $tType] : ( ( fun(nat,X0) * nat ) > nat ) ).

tff(func_def_1851,type,
    sK776: 
      !>[X0: $tType] : ( ( fun(nat,X0) * nat ) > nat ) ).

tff(func_def_1852,type,
    sK779: ( vEBT_VEBT * nat * option(nat) ) > list(vEBT_VEBT) ).

tff(func_def_1853,type,
    sK780: ( vEBT_VEBT * nat * option(nat) ) > nat ).

tff(func_def_1854,type,
    sK781: ( vEBT_VEBT * nat * option(nat) ) > nat ).

tff(func_def_1855,type,
    sK782: ( vEBT_VEBT * nat * option(nat) ) > nat ).

tff(func_def_1856,type,
    sK783: ( vEBT_VEBT * nat * option(nat) ) > vEBT_VEBT ).

tff(func_def_1857,type,
    sK784: ( vEBT_VEBT * nat * option(nat) ) > vEBT_VEBT ).

tff(func_def_1858,type,
    sK785: ( vEBT_VEBT * nat * option(nat) ) > list(vEBT_VEBT) ).

tff(func_def_1859,type,
    sK786: ( vEBT_VEBT * nat * option(nat) ) > product_prod(nat,nat) ).

tff(func_def_1860,type,
    sK787: ( vEBT_VEBT * nat * option(nat) ) > list(vEBT_VEBT) ).

tff(func_def_1861,type,
    sK788: ( vEBT_VEBT * nat * option(nat) ) > vEBT_VEBT ).

tff(func_def_1862,type,
    sK789: ( vEBT_VEBT * nat * option(nat) ) > product_prod(nat,nat) ).

tff(func_def_1863,type,
    sK790: ( vEBT_VEBT * nat * option(nat) ) > nat ).

tff(func_def_1864,type,
    sK791: ( vEBT_VEBT * nat * option(nat) ) > list(vEBT_VEBT) ).

tff(func_def_1865,type,
    sK792: ( vEBT_VEBT * nat * option(nat) ) > vEBT_VEBT ).

tff(func_def_1866,type,
    sK804: ( nat * option(nat) * $o * $o ) > nat ).

tff(func_def_1867,type,
    sK838: 
      !>[X0: $tType] : ( ( set(X0) * fun(X0,real) ) > X0 ) ).

tff(func_def_1868,type,
    sK839: 
      !>[X0: $tType,X1: $tType] : ( ( fun(option(X1),$o) * option(X0) * fun(X0,option(X1)) ) > X0 ) ).

tff(func_def_1869,type,
    sK840: real > real ).

tff(func_def_1870,type,
    sK841: ( fun(nat,$o) * nat ) > nat ).

tff(func_def_1871,type,
    sK842: ( fun(nat,$o) * nat ) > nat ).

tff(func_def_1872,type,
    sK843: fun(nat,$o) > nat ).

tff(func_def_1873,type,
    sK844: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * option(X0) * fun(X0,X1) * option(X0) ) > X0 ) ).

tff(func_def_1874,type,
    sK845: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * option(X0) * fun(X0,X1) * option(X0) ) > X0 ) ).

tff(func_def_1875,type,
    sK846: ( real * fun(nat,rat) ) > nat ).

tff(func_def_1876,type,
    sK847: 
      !>[X0: $tType] : ( ( X0 * fun(X0,$o) ) > X0 ) ).

tff(func_def_1877,type,
    sK848: 
      !>[X0: $tType] : ( ( fun(X0,$o) * fun(X0,$o) ) > X0 ) ).

tff(func_def_1878,type,
    sK849: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,X1) ) > X0 ) ).

tff(func_def_1879,type,
    sK861: 
      !>[X0: $tType] : ( ( fun(X0,$o) * X0 ) > X0 ) ).

tff(func_def_1880,type,
    sK862: 
      !>[X0: $tType] : ( ( fun(X0,$o) * X0 * X0 ) > X0 ) ).

tff(func_def_1881,type,
    sK863: 
      !>[X0: $tType] : ( ( nat * fun(nat,complex) * fun(nat,X0) ) > nat ) ).

tff(func_def_1882,type,
    sK864: fun(nat,complex) > nat ).

tff(func_def_1883,type,
    sK865: fun(nat,complex) > nat ).

tff(func_def_1884,type,
    sK866: 
      !>[X0: $tType,X1: $tType] : ( ( X1 * fun(X1,X0) * X1 * X0 ) > X1 ) ).

tff(func_def_1885,type,
    sK867: 
      !>[X0: $tType,X1: $tType] : ( ( X1 * fun(X1,X0) * X1 ) > X1 ) ).

tff(func_def_1886,type,
    sK868: 
      !>[X0: $tType,X1: $tType] : ( ( X1 * fun(X0,X1) * set(X0) ) > X0 ) ).

tff(func_def_1887,type,
    sK869: 
      !>[X0: $tType] : ( fun(X0,fun(X0,X0)) > X0 ) ).

tff(func_def_1888,type,
    sK870: 
      !>[X0: $tType] : ( fun(X0,fun(X0,X0)) > X0 ) ).

tff(func_def_1889,type,
    sK871: 
      !>[X0: $tType] : ( fun(X0,fun(X0,X0)) > X0 ) ).

tff(func_def_1890,type,
    sK872: 
      !>[X0: $tType] : ( fun(X0,fun(X0,X0)) > X0 ) ).

tff(func_def_1891,type,
    sK873: 
      !>[X0: $tType] : ( fun(X0,fun(X0,X0)) > X0 ) ).

tff(func_def_1892,type,
    sK874: 
      !>[X0: $tType] : ( fun(X0,fun(X0,X0)) > X0 ) ).

tff(func_def_1893,type,
    sK875: 
      !>[X0: $tType] : ( fun(X0,fun(X0,X0)) > X0 ) ).

tff(func_def_1894,type,
    sK876: real > real ).

tff(func_def_1895,type,
    sK877: ( fun(real,real) * real * real * fun(real,real) ) > real ).

tff(func_def_1896,type,
    sK878: ( fun(real,real) * real * real * fun(real,real) ) > real ).

tff(func_def_1897,type,
    sK879: 
      !>[X0: $tType] : ( ( list(X0) * nat * fun(X0,$o) ) > nat ) ).

tff(func_def_1898,type,
    sK880: 
      !>[X0: $tType,X1: $tType] : ( ( X0 * filter(X1) * fun(X1,X0) ) > X0 ) ).

tff(func_def_1899,type,
    sK881: 
      !>[X0: $tType] : ( fun(X0,fun(X0,X0)) > X0 ) ).

tff(func_def_1900,type,
    sK882: 
      !>[X0: $tType] : ( fun(X0,fun(X0,X0)) > X0 ) ).

tff(func_def_1901,type,
    sK892: ( nat * nat * vEBT_VEBT ) > list(vEBT_VEBT) ).

tff(func_def_1902,type,
    sK893: ( nat * nat * vEBT_VEBT ) > nat ).

tff(func_def_1903,type,
    sK894: ( nat * nat * vEBT_VEBT ) > nat ).

tff(func_def_1904,type,
    sK895: ( nat * nat * vEBT_VEBT ) > nat ).

tff(func_def_1905,type,
    sK896: ( nat * nat * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_1906,type,
    sK897: vEBT_VEBT > vEBT_VEBT ).

tff(func_def_1907,type,
    sK898: vEBT_VEBT > list(vEBT_VEBT) ).

tff(func_def_1908,type,
    sK899: vEBT_VEBT > nat ).

tff(func_def_1909,type,
    sK903: nat > nat ).

tff(func_def_1910,type,
    sK904: vEBT_VEBT > vEBT_VEBT ).

tff(func_def_1911,type,
    sK905: vEBT_VEBT > product_prod(nat,nat) ).

tff(func_def_1912,type,
    sK906: vEBT_VEBT > list(vEBT_VEBT) ).

tff(func_def_1913,type,
    sK907: vEBT_VEBT > vEBT_VEBT ).

tff(func_def_1914,type,
    sK908: vEBT_VEBT > product_prod(nat,nat) ).

tff(func_def_1915,type,
    sK909: vEBT_VEBT > list(vEBT_VEBT) ).

tff(func_def_1916,type,
    sK920: 
      !>[X0: $tType] : ( set(X0) > nat ) ).

tff(func_def_1917,type,
    sK921: 
      !>[X0: $tType] : ( set(X0) > fun(X0,nat) ) ).

tff(func_def_1918,type,
    sK922: ( real * fun(nat,real) ) > real ).

tff(func_def_1919,type,
    sK923: nat > nat ).

tff(func_def_1920,type,
    sK924: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_1921,type,
    sK925: 
      !>[X0: $tType] : ( fun(nat,X0) > nat ) ).

tff(func_def_1922,type,
    sK926: 
      !>[X0: $tType] : ( fun(nat,X0) > nat ) ).

tff(func_def_1923,type,
    sK927: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_1924,type,
    sK928: fun(nat,$o) > nat ).

tff(func_def_1925,type,
    sK929: fun(nat,real) > fun(nat,int) ).

tff(func_def_1926,type,
    sK932: ( vEBT_VEBT * nat * nat ) > nat ).

tff(func_def_1927,type,
    sK933: ( vEBT_VEBT * nat * nat ) > list(vEBT_VEBT) ).

tff(func_def_1928,type,
    sK934: ( vEBT_VEBT * nat * nat ) > vEBT_VEBT ).

tff(func_def_1929,type,
    sK935: ( vEBT_VEBT * nat * nat ) > nat ).

tff(func_def_1930,type,
    sK936: ( vEBT_VEBT * nat * nat ) > nat ).

tff(func_def_1931,type,
    sK937: ( vEBT_VEBT * nat * nat ) > product_prod(nat,nat) ).

tff(func_def_1932,type,
    sK938: ( vEBT_VEBT * nat * nat ) > vEBT_VEBT ).

tff(func_def_1933,type,
    sK939: ( vEBT_VEBT * nat * nat ) > list(vEBT_VEBT) ).

tff(func_def_1934,type,
    sK940: ( vEBT_VEBT * nat * nat ) > nat ).

tff(func_def_1935,type,
    sK941: ( vEBT_VEBT * nat * nat ) > list(vEBT_VEBT) ).

tff(func_def_1936,type,
    sK942: ( vEBT_VEBT * nat * nat ) > vEBT_VEBT ).

tff(func_def_1937,type,
    sK943: ( vEBT_VEBT * nat * nat ) > list(vEBT_VEBT) ).

tff(func_def_1938,type,
    sK944: ( vEBT_VEBT * nat * nat ) > vEBT_VEBT ).

tff(func_def_1939,type,
    sK945: ( vEBT_VEBT * nat * nat ) > product_prod(nat,nat) ).

tff(func_def_1940,type,
    sK953: ( nat * nat * $o * $o ) > nat ).

tff(func_def_1941,type,
    sK1010: vEBT_VEBT > list(vEBT_VEBT) ).

tff(func_def_1942,type,
    sK1011: vEBT_VEBT > vEBT_VEBT ).

tff(func_def_1943,type,
    sK1012: vEBT_VEBT > nat ).

tff(func_def_1944,type,
    sK1013: vEBT_VEBT > nat ).

tff(func_def_1945,type,
    sK1014: vEBT_VEBT > nat ).

tff(func_def_1946,type,
    sK1015: vEBT_VEBT > vEBT_VEBT ).

tff(func_def_1947,type,
    sK1016: vEBT_VEBT > list(vEBT_VEBT) ).

tff(func_def_1948,type,
    sK1017: vEBT_VEBT > nat ).

tff(func_def_1949,type,
    sK1021: 
      !>[X0: $tType] : ( ( fun(nat,X0) * nat ) > nat ) ).

tff(func_def_1950,type,
    sK1022: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( fun(X1,X2) * set(X0) * set(X1) * fun(X0,X2) ) > X1 ) ).

tff(func_def_1951,type,
    sK1023: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( fun(X1,X2) * set(X0) * set(X1) * fun(X0,X2) ) > X0 ) ).

tff(func_def_1952,type,
    sK1024: fun(nat,real) > nat ).

tff(func_def_1953,type,
    sK1025: fun(nat,real) > nat ).

tff(func_def_1954,type,
    sK1026: ( real * fun(real,real) ) > real ).

tff(func_def_1955,type,
    sK1027: 
      !>[X0: $tType] : ( fun(nat,X0) > real ) ).

tff(func_def_1956,type,
    sK1028: 
      !>[X0: $tType] : ( ( fun(nat,X0) * nat ) > nat ) ).

tff(func_def_1957,type,
    sK1029: 
      !>[X0: $tType] : ( ( fun(nat,X0) * nat ) > nat ) ).

tff(func_def_1958,type,
    sK1030: 
      !>[X0: $tType] : ( X0 > X0 ) ).

tff(func_def_1959,type,
    sK1031: ( nat * nat * vEBT_VEBT ) > list(vEBT_VEBT) ).

tff(func_def_1960,type,
    sK1032: ( nat * nat * vEBT_VEBT ) > nat ).

tff(func_def_1961,type,
    sK1033: ( nat * nat * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_1962,type,
    sK1034: ( nat * nat * vEBT_VEBT ) > nat ).

tff(func_def_1963,type,
    sK1035: ( nat * nat * vEBT_VEBT ) > nat ).

tff(func_def_1964,type,
    sK1042: vEBT_VEBT > list(vEBT_VEBT) ).

tff(func_def_1965,type,
    sK1043: vEBT_VEBT > option(product_prod(nat,nat)) ).

tff(func_def_1966,type,
    sK1044: vEBT_VEBT > vEBT_VEBT ).

tff(func_def_1967,type,
    sK1045: vEBT_VEBT > vEBT_VEBT ).

tff(func_def_1968,type,
    sK1046: vEBT_VEBT > nat ).

tff(func_def_1969,type,
    sK1047: vEBT_VEBT > list(vEBT_VEBT) ).

tff(func_def_1970,type,
    sK1048: vEBT_VEBT > list(vEBT_VEBT) ).

tff(func_def_1971,type,
    sK1049: vEBT_VEBT > vEBT_VEBT ).

tff(func_def_1972,type,
    sK1050: vEBT_VEBT > option(product_prod(nat,nat)) ).

tff(func_def_1973,type,
    sK1057: 
      !>[X0: $tType] : ( set(X0) > real ) ).

tff(func_def_1974,type,
    sK1058: 
      !>[X0: $tType] : ( ( set(X0) * real ) > set(X0) ) ).

tff(func_def_1975,type,
    sK1060: product_prod(vEBT_VEBT,nat) > nat ).

tff(func_def_1976,type,
    sK1062: product_prod(vEBT_VEBT,nat) > option(product_prod(nat,nat)) ).

tff(func_def_1977,type,
    sK1063: product_prod(vEBT_VEBT,nat) > vEBT_VEBT ).

tff(func_def_1978,type,
    sK1064: product_prod(vEBT_VEBT,nat) > list(vEBT_VEBT) ).

tff(func_def_1979,type,
    sK1065: product_prod(vEBT_VEBT,nat) > nat ).

tff(func_def_1980,type,
    sK1066: product_prod(vEBT_VEBT,nat) > nat ).

tff(func_def_1981,type,
    sK1067: product_prod(vEBT_VEBT,nat) > list(vEBT_VEBT) ).

tff(func_def_1982,type,
    sK1068: product_prod(vEBT_VEBT,nat) > option(product_prod(nat,nat)) ).

tff(func_def_1983,type,
    sK1069: product_prod(vEBT_VEBT,nat) > vEBT_VEBT ).

tff(func_def_1984,type,
    sK1070: product_prod(vEBT_VEBT,nat) > nat ).

tff(func_def_1985,type,
    sK1071: ( fun(nat,$o) * nat ) > nat ).

tff(func_def_1986,type,
    sK1072: 
      !>[X0: $tType,X1: $tType] : ( ( X0 * set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_1987,type,
    sK1073: set(real) > real ).

tff(func_def_1988,type,
    sK1074: ( set(real) * real ) > real ).

tff(func_def_1989,type,
    sK1075: ( set(real) * real ) > real ).

tff(func_def_1990,type,
    sK1076: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,$o)) * option(X0) * option(X0) ) > X0 ) ).

tff(func_def_1991,type,
    sK1077: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,$o)) * option(X0) * option(X0) ) > X0 ) ).

tff(func_def_1992,type,
    sK1078: real > int ).

tff(func_def_1993,type,
    sK1079: real > real ).

tff(func_def_1994,type,
    sK1080: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * fun(X1,X0) ) > X1 ) ).

tff(func_def_1995,type,
    sK1081: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_1996,type,
    sK1082: ( vEBT_VEBT * nat * nat ) > list(vEBT_VEBT) ).

tff(func_def_1997,type,
    sK1083: ( vEBT_VEBT * nat * nat ) > vEBT_VEBT ).

tff(func_def_1998,type,
    sK1084: ( vEBT_VEBT * nat * nat ) > option(product_prod(nat,nat)) ).

tff(func_def_1999,type,
    sK1087: ( vEBT_VEBT * nat * nat ) > vEBT_VEBT ).

tff(func_def_2000,type,
    sK1088: ( vEBT_VEBT * nat * nat ) > list(vEBT_VEBT) ).

tff(func_def_2001,type,
    sK1089: ( vEBT_VEBT * nat * nat ) > nat ).

tff(func_def_2002,type,
    sK1090: ( vEBT_VEBT * nat * nat ) > nat ).

tff(func_def_2003,type,
    sK1091: ( vEBT_VEBT * nat * nat ) > nat ).

tff(func_def_2004,type,
    sK1092: ( vEBT_VEBT * nat * nat ) > list(vEBT_VEBT) ).

tff(func_def_2005,type,
    sK1093: ( vEBT_VEBT * nat * nat ) > option(product_prod(nat,nat)) ).

tff(func_def_2006,type,
    sK1094: ( vEBT_VEBT * nat * nat ) > vEBT_VEBT ).

tff(func_def_2007,type,
    sK1095: ( vEBT_VEBT * nat * nat ) > list(vEBT_VEBT) ).

tff(func_def_2008,type,
    sK1096: ( vEBT_VEBT * nat * nat ) > vEBT_VEBT ).

tff(func_def_2009,type,
    sK1097: ( vEBT_VEBT * nat * nat ) > nat ).

tff(func_def_2010,type,
    sK1106: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * set(X1) * set(X1) ) > X1 ) ).

tff(func_def_2011,type,
    sK1107: 
      !>[X0: $tType] : ( ( set(X0) * fun(X0,real) ) > X0 ) ).

tff(func_def_2012,type,
    sK1108: ( fun(real,real) * real * real ) > real ).

tff(func_def_2013,type,
    sK1109: 
      !>[X0: $tType] : ( fun(nat,X0) > nat ) ).

tff(func_def_2014,type,
    sK1110: ( nat * fun(nat,int) ) > nat ).

tff(func_def_2015,type,
    sK1111: ( nat * fun(nat,int) * int ) > nat ).

tff(func_def_2016,type,
    sK1112: 
      !>[X0: $tType] : ( ( set(nat) * fun(nat,X0) ) > nat ) ).

tff(func_def_2017,type,
    sK1113: 
      !>[X0: $tType,X1: $tType] : ( ( X1 * X1 * X0 * fun(X1,X0) ) > X1 ) ).

tff(func_def_2018,type,
    sK1114: ( fun(nat,$o) * nat ) > nat ).

tff(func_def_2019,type,
    sK1115: ( int * int ) > nat ).

tff(func_def_2020,type,
    sK1116: ( nat * fun(real,real) * real * fun(nat,fun(real,real)) ) > real ).

tff(func_def_2021,type,
    sK1117: ( nat * real * fun(nat,fun(real,real)) ) > nat ).

tff(func_def_2022,type,
    sK1118: ( nat * real * fun(nat,fun(real,real)) ) > real ).

tff(func_def_2023,type,
    sK1119: ( fun(int,$o) * int ) > int ).

tff(func_def_2024,type,
    sK1120: ( fun(int,$o) * int ) > int ).

tff(func_def_2025,type,
    sK1121: ( fun(int,$o) * int ) > int ).

tff(func_def_2026,type,
    sK1122: fun(int,$o) > int ).

tff(func_def_2027,type,
    sK1123: 
      !>[X0: $tType] : ( ( fun(X0,$o) * fun(X0,$o) ) > X0 ) ).

tff(func_def_2028,type,
    sK1124: 
      !>[X0: $tType] : ( ( X0 * fun(X0,$o) ) > X0 ) ).

tff(func_def_2029,type,
    sK1125: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * set(X0) * set(X0) ) > X0 ) ).

tff(func_def_2030,type,
    sK1126: ( real * nat ) > real ).

tff(func_def_2031,type,
    sK1127: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * filter(X0) * X1 ) > X1 ) ).

tff(func_def_2032,type,
    sK1128: ( vEBT_VEBT * nat * nat ) > nat ).

tff(func_def_2033,type,
    sK1129: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * set(X1) * X0 ) > X1 ) ).

tff(func_def_2034,type,
    sK1130: 
      !>[X0: $tType] : ( fun(nat,X0) > nat ) ).

tff(func_def_2035,type,
    sK1131: fun(nat,real) > nat ).

tff(func_def_2036,type,
    sK1132: ( fun(real,real) * real * real ) > real ).

tff(func_def_2037,type,
    sK1133: 
      !>[X0: $tType] : ( fun(nat,X0) > nat ) ).

tff(func_def_2038,type,
    sK1134: 
      !>[X0: $tType] : ( ( X0 * fun(nat,X0) ) > nat ) ).

tff(func_def_2039,type,
    sK1135: 
      !>[X0: $tType] : ( ( fun(X0,real) * set(X0) ) > X0 ) ).

tff(func_def_2040,type,
    sK1136: 
      !>[X0: $tType] : ( ( set(X0) * fun(X0,real) ) > X0 ) ).

tff(func_def_2041,type,
    sK1137: 
      !>[X0: $tType] : ( ( X0 * fun(X0,$o) ) > X0 ) ).

tff(func_def_2042,type,
    sK1138: fun(nat,$o) > nat ).

tff(func_def_2043,type,
    sK1139: 
      !>[X0: $tType] : ( set(X0) > list(X0) ) ).

tff(func_def_2044,type,
    sK1140: 
      !>[X0: $tType] : ( set(X0) > fun(nat,X0) ) ).

tff(func_def_2045,type,
    sK1141: 
      !>[X0: $tType] : ( set(X0) > nat ) ).

tff(func_def_2046,type,
    sK1142: 
      !>[X0: $tType] : ( X0 > int ) ).

tff(func_def_2047,type,
    sK1143: ( nat * fun(nat,$o) ) > nat ).

tff(func_def_2048,type,
    sK1144: 
      !>[X0: $tType] : ( set(X0) > fun(nat,X0) ) ).

tff(func_def_2049,type,
    sK1145: 
      !>[X0: $tType] : ( set(X0) > nat ) ).

tff(func_def_2050,type,
    sK1157: 
      !>[X0: $tType] : ( fun(set(X0),$o) > X0 ) ).

tff(func_def_2051,type,
    sK1158: 
      !>[X0: $tType] : ( fun(set(X0),$o) > set(X0) ) ).

tff(func_def_2052,type,
    sK1159: 
      !>[X0: $tType] : ( ( X0 * X0 ) > X0 ) ).

tff(func_def_2053,type,
    sK1160: 
      !>[X0: $tType] : ( fun(nat,X0) > nat ) ).

tff(func_def_2054,type,
    sK1161: 
      !>[X0: $tType] : ( ( X0 * fun(nat,X0) ) > nat ) ).

tff(func_def_2055,type,
    sK1162: ( nat * vEBT_VEBT ) > list(vEBT_VEBT) ).

tff(func_def_2056,type,
    sK1163: ( nat * vEBT_VEBT ) > nat ).

tff(func_def_2057,type,
    sK1164: ( nat * vEBT_VEBT ) > nat ).

tff(func_def_2058,type,
    sK1165: ( nat * vEBT_VEBT ) > nat ).

tff(func_def_2059,type,
    sK1166: ( nat * vEBT_VEBT ) > nat ).

tff(func_def_2060,type,
    sK1167: ( nat * vEBT_VEBT ) > list(vEBT_VEBT) ).

tff(func_def_2061,type,
    sK1168: ( nat * vEBT_VEBT ) > nat ).

tff(func_def_2062,type,
    sK1169: ( nat * vEBT_VEBT ) > nat ).

tff(func_def_2063,type,
    sK1170: ( nat * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_2064,type,
    sK1171: ( nat * vEBT_VEBT ) > list(vEBT_VEBT) ).

tff(func_def_2065,type,
    sK1172: ( nat * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_2066,type,
    sK1173: ( nat * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_2067,type,
    sK1175: 
      !>[X0: $tType,X1: $tType] : ( ( X0 * fun(X0,X1) * X0 * fun(X0,X1) ) > X0 ) ).

tff(func_def_2068,type,
    sK1176: 
      !>[X0: $tType] : ( fun(X0,$o) > X0 ) ).

tff(func_def_2069,type,
    sK1177: 
      !>[X0: $tType] : ( X0 > X0 ) ).

tff(func_def_2070,type,
    sK1178: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_2071,type,
    sK1179: nat > nat ).

tff(func_def_2072,type,
    sK1180: nat > nat ).

tff(func_def_2073,type,
    sK1181: 
      !>[X0: $tType] : ( ( nat * fun(nat,X0) ) > nat ) ).

tff(func_def_2074,type,
    sK1182: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( X1 * fun(fun(X0,X2),X1) ) > fun(X0,X2) ) ).

tff(func_def_2075,type,
    sK1183: 
      !>[X0: $tType] : ( fun(X0,X0) > X0 ) ).

tff(func_def_2076,type,
    sK1184: 
      !>[X0: $tType] : ( fun(X0,X0) > X0 ) ).

tff(func_def_2077,type,
    sK1187: 
      !>[X0: $tType] : ( ( fun(nat,X0) * fun(nat,real) * nat ) > nat ) ).

tff(func_def_2078,type,
    sK1188: ( real * real ) > real ).

tff(func_def_2079,type,
    sK1189: 
      !>[X0: $tType] : ( fun(X0,$o) > X0 ) ).

tff(func_def_2080,type,
    sK1190: 
      !>[X0: $tType] : ( ( fun(X0,$o) * X0 ) > X0 ) ).

tff(func_def_2081,type,
    sK1191: 
      !>[X0: $tType] : ( set(X0) > fun(X0,real) ) ).

tff(func_def_2082,type,
    sK1192: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_2083,type,
    sK1193: 
      !>[X0: $tType] : ( fun(X0,$o) > X0 ) ).

tff(func_def_2084,type,
    sK1194: 
      !>[X0: $tType,X1: $tType] : ( fun(X0,X1) > X0 ) ).

tff(func_def_2085,type,
    sK1195: 
      !>[X0: $tType,X1: $tType] : ( fun(X0,X1) > X0 ) ).

tff(func_def_2086,type,
    sK1196: ( set(nat) * nat ) > nat ).

tff(func_def_2087,type,
    sK1197: 
      !>[X0: $tType] : ( ( X0 * fun(X0,$o) ) > X0 ) ).

tff(func_def_2088,type,
    sK1198: 
      !>[X0: $tType] : ( ( X0 * nat * fun(X0,$o) ) > X0 ) ).

tff(func_def_2089,type,
    sK1199: product_prod(vEBT_VEBT,nat) > nat ).

tff(func_def_2090,type,
    sK1200: product_prod(vEBT_VEBT,nat) > vEBT_VEBT ).

tff(func_def_2091,type,
    sK1201: product_prod(vEBT_VEBT,nat) > nat ).

tff(func_def_2092,type,
    sK1202: product_prod(vEBT_VEBT,nat) > list(vEBT_VEBT) ).

tff(func_def_2093,type,
    sK1203: product_prod(vEBT_VEBT,nat) > nat ).

tff(func_def_2094,type,
    sK1205: product_prod(vEBT_VEBT,nat) > nat ).

tff(func_def_2095,type,
    sK1207: product_prod(vEBT_VEBT,nat) > list(vEBT_VEBT) ).

tff(func_def_2096,type,
    sK1208: product_prod(vEBT_VEBT,nat) > nat ).

tff(func_def_2097,type,
    sK1209: product_prod(vEBT_VEBT,nat) > vEBT_VEBT ).

tff(func_def_2098,type,
    sK1210: product_prod(vEBT_VEBT,nat) > nat ).

tff(func_def_2099,type,
    sK1211: product_prod(vEBT_VEBT,nat) > nat ).

tff(func_def_2100,type,
    sK1212: product_prod(vEBT_VEBT,nat) > list(vEBT_VEBT) ).

tff(func_def_2101,type,
    sK1213: product_prod(vEBT_VEBT,nat) > vEBT_VEBT ).

tff(func_def_2102,type,
    sK1214: product_prod(vEBT_VEBT,nat) > nat ).

tff(func_def_2103,type,
    sK1215: product_prod(vEBT_VEBT,nat) > list(vEBT_VEBT) ).

tff(func_def_2104,type,
    sK1216: product_prod(vEBT_VEBT,nat) > vEBT_VEBT ).

tff(func_def_2105,type,
    sK1217: product_prod(vEBT_VEBT,nat) > nat ).

tff(func_def_2106,type,
    sK1218: product_prod(vEBT_VEBT,nat) > nat ).

tff(func_def_2107,type,
    sK1219: product_prod(vEBT_VEBT,nat) > nat ).

tff(func_def_2108,type,
    sK1220: 
      !>[X0: $tType,X1: $tType] : ( ( X1 * set(X0) * fun(X0,X1) ) > X0 ) ).

tff(func_def_2109,type,
    sK1221: 
      !>[X0: $tType] : ( ( set(X0) * fun(X0,real) ) > X0 ) ).

tff(func_def_2110,type,
    sK1222: ( fun(nat,$o) * nat ) > nat ).

tff(func_def_2111,type,
    sK1223: fun(int,fun(int,$o)) > int ).

tff(func_def_2112,type,
    sK1224: fun(int,fun(int,$o)) > int ).

tff(func_def_2113,type,
    sK1225: 
      !>[X0: $tType] : ( ( fun(X0,$o) * X0 ) > X0 ) ).

tff(func_def_2114,type,
    sK1226: 
      !>[X0: $tType] : ( ( fun(X0,$o) * X0 ) > X0 ) ).

tff(func_def_2115,type,
    sK1227: 
      !>[X0: $tType] : ( ( X0 * nat ) > nat ) ).

tff(func_def_2116,type,
    sK1228: 
      !>[X0: $tType,X1: $tType] : ( fun(X0,X1) > X0 ) ).

tff(func_def_2117,type,
    sK1229: 
      !>[X0: $tType,X1: $tType] : ( fun(X0,X1) > X0 ) ).

tff(func_def_2118,type,
    sK1230: ( num * num * option(num) ) > num ).

tff(func_def_2119,type,
    sK1231: ( num * num * option(num) ) > num ).

tff(func_def_2120,type,
    sK1232: ( num * num * option(num) ) > num ).

tff(func_def_2121,type,
    sK1237: ( num * option(num) ) > num ).

tff(func_def_2122,type,
    sK1240: ( num * option(num) ) > num ).

tff(func_def_2123,type,
    sK1241: ( num * num * option(num) ) > num ).

tff(func_def_2124,type,
    sK1242: ( num * num * option(num) ) > num ).

tff(func_def_2125,type,
    sK1243: ( num * num * option(num) ) > num ).

tff(func_def_2126,type,
    sK1245: ( num * option(num) * num ) > num ).

tff(func_def_2127,type,
    sK1246: ( num * option(num) * num ) > num ).

tff(func_def_2128,type,
    sK1247: ( num * num * option(num) ) > num ).

tff(func_def_2129,type,
    sK1248: ( num * num * option(num) ) > num ).

tff(func_def_2130,type,
    sK1253: nat > nat ).

tff(func_def_2131,type,
    sK1256: vEBT_VEBT > list(vEBT_VEBT) ).

tff(func_def_2132,type,
    sK1257: vEBT_VEBT > vEBT_VEBT ).

tff(func_def_2133,type,
    sK1258: vEBT_VEBT > product_prod(nat,nat) ).

tff(func_def_2134,type,
    sK1260: vEBT_VEBT > product_prod(nat,nat) ).

tff(func_def_2135,type,
    sK1261: vEBT_VEBT > vEBT_VEBT ).

tff(func_def_2136,type,
    sK1262: vEBT_VEBT > list(vEBT_VEBT) ).

tff(func_def_2137,type,
    sK1263: ( vEBT_VEBT * option(nat) * nat ) > vEBT_VEBT ).

tff(func_def_2138,type,
    sK1264: ( vEBT_VEBT * option(nat) * nat ) > nat ).

tff(func_def_2139,type,
    sK1265: ( vEBT_VEBT * option(nat) * nat ) > nat ).

tff(func_def_2140,type,
    sK1266: ( vEBT_VEBT * option(nat) * nat ) > list(vEBT_VEBT) ).

tff(func_def_2141,type,
    sK1267: ( vEBT_VEBT * option(nat) * nat ) > nat ).

tff(func_def_2142,type,
    sK1268: vEBT_VEBT > vEBT_VEBT ).

tff(func_def_2143,type,
    sK1269: vEBT_VEBT > nat ).

tff(func_def_2144,type,
    sK1270: vEBT_VEBT > list(vEBT_VEBT) ).

tff(func_def_2145,type,
    sK1289: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,set(X1)) * set(X0) ) > X0 ) ).

tff(func_def_2146,type,
    sK1290: 
      !>[X0: $tType] : ( ( X0 * nat * fun(nat,X0) ) > nat ) ).

tff(func_def_2147,type,
    sK1291: 
      !>[X0: $tType] : ( X0 > nat ) ).

tff(func_def_2148,type,
    sK1292: 
      !>[X0: $tType] : ( fun(nat,X0) > nat ) ).

tff(func_def_2149,type,
    sK1293: 
      !>[X0: $tType] : ( fun(nat,X0) > nat ) ).

tff(func_def_2150,type,
    sK1294: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,X0) * fun(X1,X0) ) > X1 ) ).

tff(func_def_2151,type,
    sK1295: 
      !>[X0: $tType] : ( set(X0) > fun(X0,real) ) ).

tff(func_def_2152,type,
    sK1296: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_2153,type,
    sK1297: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_2154,type,
    sK1298: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_2155,type,
    sK1299: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_2156,type,
    sK1300: 
      !>[X0: $tType,X1: $tType] : ( fun(X0,X1) > X0 ) ).

tff(func_def_2157,type,
    sK1301: 
      !>[X0: $tType,X1: $tType] : ( fun(X0,X1) > X0 ) ).

tff(func_def_2158,type,
    sK1302: nat > nat ).

tff(func_def_2159,type,
    sK1303: fun(nat,rat) > rat ).

tff(func_def_2160,type,
    sK1304: ( fun(nat,rat) * rat ) > nat ).

tff(func_def_2161,type,
    sK1305: ( fun(nat,rat) * nat ) > nat ).

tff(func_def_2162,type,
    sK1306: 
      !>[X0: $tType] : ( X0 > nat ) ).

tff(func_def_2163,type,
    sK1307: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * filter(X0) ) > real ) ).

tff(func_def_2164,type,
    sK1308: 
      !>[X0: $tType,X1: $tType] : ( ( X0 * fun(X0,X1) * real ) > X0 ) ).

tff(func_def_2165,type,
    sK1309: 
      !>[X0: $tType] : ( fun(nat,X0) > real ) ).

tff(func_def_2166,type,
    sK1310: 
      !>[X0: $tType] : ( ( fun(nat,X0) * real ) > nat ) ).

tff(func_def_2167,type,
    sK1311: 
      !>[X0: $tType] : ( ( X0 * set(X0) ) > X0 ) ).

tff(func_def_2168,type,
    sK1312: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_2169,type,
    sK1313: 
      !>[X0: $tType] : ( ( X0 * set(X0) * set(X0) ) > X0 ) ).

tff(func_def_2170,type,
    sK1314: 
      !>[X0: $tType] : ( ( X0 * set(X0) * set(X0) ) > X0 ) ).

tff(func_def_2171,type,
    sK1315: real > int ).

tff(func_def_2172,type,
    sK1316: int > nat ).

tff(func_def_2173,type,
    sK1317: 
      !>[X0: $tType] : ( ( set(X0) * set(X0) ) > nat ) ).

tff(func_def_2174,type,
    sK1318: 
      !>[X0: $tType] : ( ( option(X0) * fun(X0,$o) ) > X0 ) ).

tff(func_def_2175,type,
    sK1319: 
      !>[X0: $tType] : ( ( X0 * set(X0) ) > fun(X0,real) ) ).

tff(func_def_2176,type,
    sK1320: ( nat * vEBT_VEBT * nat ) > list(vEBT_VEBT) ).

tff(func_def_2177,type,
    sK1321: ( nat * vEBT_VEBT * nat ) > nat ).

tff(func_def_2178,type,
    sK1322: ( nat * vEBT_VEBT * nat ) > nat ).

tff(func_def_2179,type,
    sK1323: ( nat * vEBT_VEBT * nat ) > nat ).

tff(func_def_2180,type,
    sK1324: vEBT_VEBT > product_prod(nat,nat) ).

tff(func_def_2181,type,
    sK1325: vEBT_VEBT > vEBT_VEBT ).

tff(func_def_2182,type,
    sK1326: vEBT_VEBT > list(vEBT_VEBT) ).

tff(func_def_2183,type,
    sK1327: vEBT_VEBT > product_prod(nat,nat) ).

tff(func_def_2184,type,
    sK1328: vEBT_VEBT > vEBT_VEBT ).

tff(func_def_2185,type,
    sK1329: vEBT_VEBT > list(vEBT_VEBT) ).

tff(func_def_2186,type,
    sK1330: vEBT_VEBT > list(vEBT_VEBT) ).

tff(func_def_2187,type,
    sK1331: vEBT_VEBT > nat ).

tff(func_def_2188,type,
    sK1332: vEBT_VEBT > vEBT_VEBT ).

tff(func_def_2189,type,
    sK1336: ( vEBT_VEBT * nat * list(vEBT_VEBT) * nat * nat ) > vEBT_VEBT ).

tff(func_def_2190,type,
    sK1339: 
      !>[X0: $tType] : ( ( fun(real,X0) * real * real ) > real ) ).

tff(func_def_2191,type,
    sK1340: 
      !>[X0: $tType] : ( ( fun(real,X0) * real * real ) > X0 ) ).

tff(func_def_2192,type,
    sK1341: 
      !>[X0: $tType,X1: $tType] : ( ( real * fun(X1,X0) * filter(X1) ) > real ) ).

tff(func_def_2193,type,
    sK1342: 
      !>[X0: $tType] : ( X0 > int ) ).

tff(func_def_2194,type,
    sK1343: 
      !>[X0: $tType] : ( fun(X0,fun(X0,X0)) > X0 ) ).

tff(func_def_2195,type,
    sK1344: 
      !>[X0: $tType] : ( fun(X0,fun(X0,X0)) > X0 ) ).

tff(func_def_2196,type,
    sK1345: 
      !>[X0: $tType] : ( fun(X0,fun(X0,X0)) > X0 ) ).

tff(func_def_2197,type,
    sK1346: 
      !>[X0: $tType] : ( fun(X0,fun(X0,X0)) > X0 ) ).

tff(func_def_2198,type,
    sK1347: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_2199,type,
    sK1348: 
      !>[X0: $tType] : ( fun(nat,X0) > nat ) ).

tff(func_def_2200,type,
    sK1349: 
      !>[X0: $tType] : ( ( fun(nat,X0) * nat ) > nat ) ).

tff(func_def_2201,type,
    sK1350: 
      !>[X0: $tType] : ( fun(nat,X0) > nat ) ).

tff(func_def_2202,type,
    sK1367: 
      !>[X0: $tType] : ( set(X0) > fun(X0,nat) ) ).

tff(func_def_2203,type,
    sK1368: ( int * fun(int,$o) ) > int ).

tff(func_def_2204,type,
    sK1369: ( int * fun(int,$o) ) > int ).

tff(func_def_2205,type,
    sK1370: fun(int,$o) > int ).

tff(func_def_2206,type,
    sK1371: ( fun(int,$o) * fun(int,$o) * int ) > int ).

tff(func_def_2207,type,
    sK1372: ( nat * nat * fun(nat,$o) ) > nat ).

tff(func_def_2208,type,
    sK1373: fun(nat,$o) > int ).

tff(func_def_2209,type,
    sK1374: fun(nat,$o) > nat ).

tff(func_def_2210,type,
    sK1375: 
      !>[X0: $tType] : ( fun(option(X0),$o) > option(X0) ) ).

tff(func_def_2211,type,
    sK1376: 
      !>[X0: $tType] : ( fun(option(X0),$o) > X0 ) ).

tff(func_def_2212,type,
    sK1377: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * fun(X0,X1) * set(X0) ) > X0 ) ).

tff(func_def_2213,type,
    sK1378: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,X1) * set(X0) ) > X0 ) ).

tff(func_def_2214,type,
    sK1379: ( fun(nat,$o) * nat ) > nat ).

tff(func_def_2215,type,
    sK1380: 
      !>[X0: $tType,X1: $tType] : ( fun(X0,X1) > X0 ) ).

tff(func_def_2216,type,
    sK1381: 
      !>[X0: $tType,X1: $tType] : ( fun(X0,X1) > X0 ) ).

tff(func_def_2217,type,
    sK1382: 
      !>[X0: $tType] : ( ( set(X0) * fun(X0,nat) ) > X0 ) ).

tff(func_def_2218,type,
    sK1383: 
      !>[X0: $tType] : ( ( set(X0) * fun(X0,nat) * X0 ) > X0 ) ).

tff(func_def_2219,type,
    sK1384: ( real * real ) > real ).

tff(func_def_2220,type,
    sK1385: ( vEBT_VEBT * extended_enat * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_2221,type,
    sK1386: ( vEBT_VEBT * extended_enat * vEBT_VEBT ) > option(product_prod(nat,nat)) ).

tff(func_def_2222,type,
    sK1387: ( vEBT_VEBT * extended_enat * vEBT_VEBT ) > nat ).

tff(func_def_2223,type,
    sK1388: ( vEBT_VEBT * extended_enat * vEBT_VEBT ) > list(vEBT_VEBT) ).

tff(func_def_2224,type,
    sK1389: ( vEBT_VEBT * extended_enat * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_2225,type,
    sK1390: ( vEBT_VEBT * extended_enat * vEBT_VEBT ) > option(product_prod(nat,nat)) ).

tff(func_def_2226,type,
    sK1391: ( vEBT_VEBT * extended_enat * vEBT_VEBT ) > nat ).

tff(func_def_2227,type,
    sK1392: ( vEBT_VEBT * extended_enat * vEBT_VEBT ) > list(vEBT_VEBT) ).

tff(func_def_2228,type,
    sK1395: ( vEBT_VEBT * extended_enat * vEBT_VEBT ) > nat ).

tff(func_def_2229,type,
    sK1401: ( real * fun(nat,real) ) > nat ).

tff(func_def_2230,type,
    sK1402: 
      !>[X0: $tType] : ( fun(X0,$o) > X0 ) ).

tff(func_def_2231,type,
    sK1403: 
      !>[X0: $tType] : ( ( fun(X0,$o) * X0 ) > X0 ) ).

tff(func_def_2232,type,
    sK1404: 
      !>[X0: $tType,X1: $tType] : ( fun(X0,X1) > X0 ) ).

tff(func_def_2233,type,
    sK1405: 
      !>[X0: $tType,X1: $tType] : ( fun(X0,X1) > X0 ) ).

tff(func_def_2234,type,
    sK1406: ( vEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_2235,type,
    sK1407: ( vEBT_VEBT * nat ) > list(vEBT_VEBT) ).

tff(func_def_2236,type,
    sK1408: ( vEBT_VEBT * nat ) > option(product_prod(nat,nat)) ).

tff(func_def_2237,type,
    sK1409: int > nat ).

tff(func_def_2238,type,
    sK1410: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * X1 * X0 * X1 ) > fun(nat,X1) ) ).

tff(func_def_2239,type,
    sK1411: 
      !>[X0: $tType] : ( ( X0 * fun(X0,X0) * X0 ) > X0 ) ).

tff(func_def_2240,type,
    sK1412: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,X1) * X1 ) > X0 ) ).

tff(func_def_2241,type,
    sK1413: 
      !>[X0: $tType] : ( ( set(X0) * fun(X0,X0) ) > X0 ) ).

tff(func_def_2242,type,
    sK1414: 
      !>[X0: $tType] : ( fun(X0,$o) > X0 ) ).

tff(func_def_2243,type,
    sK1415: ( fun(nat,nat) * nat ) > nat ).

tff(func_def_2244,type,
    sK1416: ( nat * fun(nat,nat) ) > nat ).

tff(func_def_2245,type,
    sK1417: real > real ).

tff(func_def_2246,type,
    sK1418: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_2247,type,
    sK1419: ( int * fun(int,$o) * set(int) ) > int ).

tff(func_def_2248,type,
    sK1420: ( int * fun(int,$o) ) > int ).

tff(func_def_2249,type,
    sK1421: ( int * fun(int,$o) ) > int ).

tff(func_def_2250,type,
    sK1422: ( fun(int,$o) * fun(int,$o) * int ) > int ).

tff(func_def_2251,type,
    sK1428: fun(int,$o) > int ).

tff(func_def_2252,type,
    sK1429: ( int * fun(int,$o) ) > int ).

tff(func_def_2253,type,
    sK1430: ( int * fun(int,$o) * set(int) ) > int ).

tff(func_def_2254,type,
    sK1431: ( int * fun(int,$o) * set(int) ) > int ).

tff(func_def_2255,type,
    sK1432: ( nat * nat ) > nat ).

tff(func_def_2256,type,
    sK1433: ( nat * nat ) > nat ).

tff(func_def_2257,type,
    sK1434: 
      !>[X0: $tType,X1: $tType] : ( ( option(X1) * fun(X1,fun(X0,$o)) * X0 ) > X1 ) ).

tff(func_def_2258,type,
    sK1435: fun(int,fun(int,$o)) > int ).

tff(func_def_2259,type,
    sK1436: fun(int,fun(int,$o)) > int ).

tff(func_def_2260,type,
    sK1437: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * set(X0) * X1 ) > X0 ) ).

tff(func_def_2261,type,
    sK1438: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * set(X0) ) > X0 ) ).

tff(func_def_2262,type,
    sK1439: ( nat * nat ) > nat ).

tff(func_def_2263,type,
    sK1440: 
      !>[X0: $tType] : ( list(X0) > X0 ) ).

tff(func_def_2264,type,
    sK1441: 
      !>[X0: $tType] : ( option(X0) > X0 ) ).

tff(func_def_2265,type,
    sK1442: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,X1) ) > X0 ) ).

tff(func_def_2266,type,
    sK1443: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * X1 * X1 * set(X0) ) > X0 ) ).

tff(func_def_2267,type,
    sK1444: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * set(X1) ) > X0 ) ).

tff(func_def_2268,type,
    sK1445: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * set(X1) * X0 ) > X1 ) ).

tff(func_def_2269,type,
    sK1446: list(vEBT_VEBT) > vEBT_VEBT ).

tff(func_def_2270,type,
    sK1447: vEBT_VEBT > nat ).

tff(func_def_2271,type,
    sK1448: ( nat * list(vEBT_VEBT) ) > vEBT_VEBT ).

tff(func_def_2272,type,
    sK1449: list(vEBT_VEBT) > nat ).

tff(func_def_2273,type,
    sK1450: ( option(nat) * nat * vEBT_VEBT ) > product_prod(nat,nat) ).

tff(func_def_2274,type,
    sK1451: ( option(nat) * nat * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_2275,type,
    sK1452: ( option(nat) * nat * vEBT_VEBT ) > list(vEBT_VEBT) ).

tff(func_def_2276,type,
    sK1457: ( option(nat) * nat * vEBT_VEBT ) > nat ).

tff(func_def_2277,type,
    sK1458: ( option(nat) * nat * vEBT_VEBT ) > list(vEBT_VEBT) ).

tff(func_def_2278,type,
    sK1459: ( option(nat) * nat * vEBT_VEBT ) > nat ).

tff(func_def_2279,type,
    sK1460: ( option(nat) * nat * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_2280,type,
    sK1461: ( option(nat) * nat * vEBT_VEBT ) > nat ).

tff(func_def_2281,type,
    sK1462: ( option(nat) * nat * vEBT_VEBT ) > product_prod(nat,nat) ).

tff(func_def_2282,type,
    sK1463: ( option(nat) * nat * vEBT_VEBT ) > list(vEBT_VEBT) ).

tff(func_def_2283,type,
    sK1464: ( option(nat) * nat * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_2284,type,
    sK1467: ( option(nat) * nat * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_2285,type,
    sK1468: ( option(nat) * nat * vEBT_VEBT ) > nat ).

tff(func_def_2286,type,
    sK1469: ( option(nat) * nat * vEBT_VEBT ) > list(vEBT_VEBT) ).

tff(func_def_2287,type,
    sK1479: ( option(nat) * nat * $o * $o ) > nat ).

tff(func_def_2288,type,
    sK1579: ( real * real ) > nat ).

tff(func_def_2289,type,
    sK1580: ( nat * set(nat) ) > nat ).

tff(func_def_2290,type,
    sK1581: fun(nat,rat) > rat ).

tff(func_def_2291,type,
    sK1582: fun(nat,rat) > nat ).

tff(func_def_2292,type,
    sK1583: 
      !>[X0: $tType] : ( X0 > X0 ) ).

tff(func_def_2293,type,
    sK1584: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_2294,type,
    sK1585: 
      !>[X0: $tType] : ( ( X0 * fun(nat,X0) ) > nat ) ).

tff(func_def_2295,type,
    sK1586: 
      !>[X0: $tType,X1: $tType] : ( fun(X0,X1) > real ) ).

tff(func_def_2296,type,
    sK1587: 
      !>[X0: $tType,X1: $tType] : ( fun(X0,X1) > X0 ) ).

tff(func_def_2297,type,
    sK1588: 
      !>[X0: $tType,X1: $tType] : ( fun(X0,X1) > X0 ) ).

tff(func_def_2298,type,
    sK1589: 
      !>[X0: $tType,X1: $tType] : ( fun(X0,X1) > X0 ) ).

tff(func_def_2299,type,
    sK1590: 
      !>[X0: $tType,X1: $tType] : ( ( real * fun(X0,X1) ) > X0 ) ).

tff(func_def_2300,type,
    sK1591: ( int * int ) > int ).

tff(func_def_2301,type,
    sK1592: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( set(X1) * set(X2) * fun(X2,X0) * fun(X1,X0) ) > X1 ) ).

tff(func_def_2302,type,
    sK1593: ( nat * nat * vEBT_VEBT ) > product_prod(nat,nat) ).

tff(func_def_2303,type,
    sK1594: ( nat * nat * vEBT_VEBT ) > list(vEBT_VEBT) ).

tff(func_def_2304,type,
    sK1595: ( nat * nat * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_2305,type,
    sK1596: ( nat * nat * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_2306,type,
    sK1597: ( nat * nat * vEBT_VEBT ) > nat ).

tff(func_def_2307,type,
    sK1598: ( nat * nat * vEBT_VEBT ) > list(vEBT_VEBT) ).

tff(func_def_2308,type,
    sK1599: ( nat * nat * vEBT_VEBT ) > list(vEBT_VEBT) ).

tff(func_def_2309,type,
    sK1600: ( nat * nat * vEBT_VEBT ) > nat ).

tff(func_def_2310,type,
    sK1601: ( nat * nat * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_2311,type,
    sK1602: ( nat * nat * vEBT_VEBT ) > nat ).

tff(func_def_2312,type,
    sK1603: ( nat * nat * vEBT_VEBT ) > nat ).

tff(func_def_2313,type,
    sK1606: ( nat * nat * vEBT_VEBT ) > product_prod(nat,nat) ).

tff(func_def_2314,type,
    sK1607: ( nat * nat * vEBT_VEBT ) > list(vEBT_VEBT) ).

tff(func_def_2315,type,
    sK1608: ( nat * nat * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_2316,type,
    sK1612: fun(nat,$o) > nat ).

tff(func_def_2317,type,
    sK1613: ( fun(nat,$o) * nat ) > nat ).

tff(func_def_2318,type,
    sK1614: 
      !>[X0: $tType,X1: $tType] : ( ( X0 * fun(X0,X1) * real ) > X0 ) ).

tff(func_def_2319,type,
    sK1615: 
      !>[X0: $tType] : ( ( X0 * fun(X0,X0) ) > X0 ) ).

tff(func_def_2320,type,
    sK1616: ( set(int) * int * int ) > int ).

tff(func_def_2321,type,
    sK1617: ( set(int) * int * int ) > int ).

tff(func_def_2322,type,
    sK1618: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( filter(X1) * fun(X1,fun(X0,X2)) * set(X0) ) > X0 ) ).

tff(func_def_2323,type,
    sK1619: ( set(real) * fun(real,real) * real ) > real ).

tff(func_def_2324,type,
    sK1620: ( fun(real,real) * real * real ) > real ).

tff(func_def_2325,type,
    sK1621: 
      !>[X0: $tType] : ( set(X0) > fun(X0,real) ) ).

tff(func_def_2326,type,
    sK1622: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_2327,type,
    sK1623: ( nat * fun(nat,$o) ) > nat ).

tff(func_def_2328,type,
    sK1624: ( nat * fun(nat,$o) ) > nat ).

tff(func_def_2329,type,
    sK1625: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_2330,type,
    sK1626: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > real ) ).

tff(func_def_2331,type,
    sK1627: 
      !>[X0: $tType] : ( ( set(X0) * real ) > X0 ) ).

tff(func_def_2332,type,
    sK1630: fun(nat,rat) > rat ).

tff(func_def_2333,type,
    sK1631: fun(nat,rat) > nat ).

tff(func_def_2334,type,
    sK1632: int > nat ).

tff(func_def_2335,type,
    sK1633: ( set(nat) * nat ) > nat ).

tff(func_def_2336,type,
    sK1634: 
      !>[X0: $tType] : ( ( fun(X0,$o) * fun(X0,$o) ) > X0 ) ).

tff(func_def_2337,type,
    sK1635: 
      !>[X0: $tType] : ( ( X0 * X0 ) > X0 ) ).

tff(func_def_2338,type,
    sK1636: 
      !>[X0: $tType] : ( ( X0 * X0 ) > X0 ) ).

tff(func_def_2339,type,
    sK1637: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( fun(X2,fun(X0,X1)) > real ) ).

tff(func_def_2340,type,
    sK1638: 
      !>[X0: $tType] : ( fun(X0,$o) > X0 ) ).

tff(func_def_2341,type,
    sK1639: 
      !>[X0: $tType] : ( ( fun(nat,X0) * fun(nat,X0) ) > nat ) ).

tff(func_def_2342,type,
    sK1640: 
      !>[X0: $tType] : ( X0 > X0 ) ).

tff(func_def_2343,type,
    sK1641: 
      !>[X0: $tType] : ( X0 > X0 ) ).

tff(func_def_2344,type,
    sK1642: 
      !>[X0: $tType] : ( X0 > X0 ) ).

tff(func_def_2345,type,
    sK1643: 
      !>[X0: $tType] : ( ( X0 * nat * fun(X0,X0) ) > nat ) ).

tff(func_def_2346,type,
    sK1644: 
      !>[X0: $tType] : ( ( fun(nat,X0) * real ) > nat ) ).

tff(func_def_2347,type,
    sK1645: 
      !>[X0: $tType,X1: $tType] : ( ( X0 * fun(X0,X1) * X1 * real ) > X0 ) ).

tff(func_def_2348,type,
    sK1646: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,option(X1)) * product_prod(X0,X1) ) > X0 ) ).

tff(func_def_2349,type,
    sK1647: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,option(X1)) * product_prod(X0,X1) ) > X1 ) ).

tff(func_def_2350,type,
    sK1648: ( nat * nat ) > nat ).

tff(func_def_2351,type,
    sK1649: ( nat * nat * vEBT_VEBT ) > nat ).

tff(func_def_2352,type,
    sK1650: ( nat * nat * vEBT_VEBT ) > nat ).

tff(func_def_2353,type,
    sK1651: ( nat * nat * vEBT_VEBT ) > nat ).

tff(func_def_2354,type,
    sK1652: ( nat * nat * vEBT_VEBT ) > list(vEBT_VEBT) ).

tff(func_def_2355,type,
    sK1655: vEBT_VEBT > vEBT_VEBT ).

tff(func_def_2356,type,
    sK1656: vEBT_VEBT > list(vEBT_VEBT) ).

tff(func_def_2357,type,
    sK1657: vEBT_VEBT > product_prod(nat,nat) ).

tff(func_def_2358,type,
    sK1658: vEBT_VEBT > vEBT_VEBT ).

tff(func_def_2359,type,
    sK1659: vEBT_VEBT > list(vEBT_VEBT) ).

tff(func_def_2360,type,
    sK1660: vEBT_VEBT > nat ).

tff(func_def_2361,type,
    sK1662: vEBT_VEBT > vEBT_VEBT ).

tff(func_def_2362,type,
    sK1663: vEBT_VEBT > list(vEBT_VEBT) ).

tff(func_def_2363,type,
    sK1664: vEBT_VEBT > product_prod(nat,nat) ).

tff(func_def_2364,type,
    sK1667: ( vEBT_VEBT * nat * nat * list(vEBT_VEBT) * nat ) > vEBT_VEBT ).

tff(func_def_2365,type,
    sK1668: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * X0 * set(X1) ) > X1 ) ).

tff(func_def_2366,type,
    sK1669: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_2367,type,
    sK1670: 
      !>[X0: $tType] : ( fun(nat,X0) > X0 ) ).

tff(func_def_2368,type,
    sK1671: 
      !>[X0: $tType] : ( ( X0 * set(X0) ) > X0 ) ).

tff(func_def_2369,type,
    sK1672: 
      !>[X0: $tType] : ( ( real * fun(nat,X0) ) > nat ) ).

tff(func_def_2370,type,
    sK1673: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) ) > X0 ) ).

tff(func_def_2371,type,
    sK1674: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) ) > list(X0) ) ).

tff(func_def_2372,type,
    sK1675: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) ) > X0 ) ).

tff(func_def_2373,type,
    sK1676: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) ) > list(X0) ) ).

tff(func_def_2374,type,
    sK1677: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) ) > X0 ) ).

tff(func_def_2375,type,
    sK1678: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) ) > list(X0) ) ).

tff(func_def_2376,type,
    sK1679: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) ) > X0 ) ).

tff(func_def_2377,type,
    sK1680: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) ) > list(X0) ) ).

tff(func_def_2378,type,
    sK1681: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) ) > X0 ) ).

tff(func_def_2379,type,
    sK1682: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) ) > list(X0) ) ).

tff(func_def_2380,type,
    sK1684: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_2381,type,
    sK1685: fun(nat,fun(real,real)) > nat ).

tff(func_def_2382,type,
    sK1686: fun(nat,fun(real,real)) > real ).

tff(func_def_2383,type,
    sK1687: ( fun(nat,fun(real,real)) * real * nat * fun(real,real) ) > real ).

tff(func_def_2384,type,
    sK1688: 
      !>[X0: $tType] : ( ( fun(X0,$o) * fun(X0,$o) ) > X0 ) ).

tff(func_def_2385,type,
    sK1689: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( fun(X2,fun(X0,X1)) > real ) ).

tff(func_def_2386,type,
    sK1690: 
      !>[X0: $tType] : ( ( X0 * X0 ) > X0 ) ).

tff(func_def_2387,type,
    sK1691: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_2388,type,
    sK1692: 
      !>[X0: $tType] : ( ( fun(X0,real) * set(X0) * fun(X0,real) ) > set(X0) ) ).

tff(func_def_2389,type,
    sK1693: 
      !>[X0: $tType] : ( list(X0) > X0 ) ).

tff(func_def_2390,type,
    sK1694: 
      !>[X0: $tType] : ( list(X0) > X0 ) ).

tff(func_def_2391,type,
    sK1695: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_2392,type,
    sK1696: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_2393,type,
    sK1697: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_2394,type,
    sK1698: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_2395,type,
    sK1699: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_2396,type,
    sK1700: 
      !>[X0: $tType] : ( ( set(X0) * fun(nat,X0) ) > nat ) ).

tff(func_def_2397,type,
    sK1701: fun(rat,$o) > int ).

tff(func_def_2398,type,
    sK1702: fun(rat,$o) > int ).

tff(func_def_2399,type,
    sK1703: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * list(X0) * list(X0) ) > nat ) ).

tff(func_def_2400,type,
    sK1704: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * list(X0) * list(X0) ) > X0 ) ).

tff(func_def_2401,type,
    sK1705: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * set(X1) * X0 ) > X1 ) ).

tff(func_def_2402,type,
    sK1706: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,option(X1)) * option(X0) * fun(X0,option(X1)) ) > X0 ) ).

tff(func_def_2403,type,
    sK1707: 
      !>[X0: $tType] : ( ( fun(X0,$o) * X0 ) > X0 ) ).

tff(func_def_2404,type,
    sK1708: 
      !>[X0: $tType] : ( ( fun(X0,$o) * X0 ) > X0 ) ).

tff(func_def_2405,type,
    sK1709: 
      !>[X0: $tType] : ( ( fun(X0,$o) * X0 ) > X0 ) ).

tff(func_def_2406,type,
    sK1710: 
      !>[X0: $tType] : ( ( fun(X0,$o) * X0 ) > X0 ) ).

tff(func_def_2407,type,
    sK1717: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_2408,type,
    sK1718: 
      !>[X0: $tType] : ( ( fun(X0,$o) * X0 ) > X0 ) ).

tff(func_def_2409,type,
    sK1719: 
      !>[X0: $tType] : ( ( fun(X0,$o) * X0 * X0 ) > X0 ) ).

tff(func_def_2410,type,
    sK1720: 
      !>[X0: $tType] : ( ( option(X0) * fun(X0,$o) ) > X0 ) ).

tff(func_def_2411,type,
    sK1721: ( fun(real,real) * real * real ) > real ).

tff(func_def_2412,type,
    sK1722: ( fun(real,real) * real * real ) > real ).

tff(func_def_2413,type,
    sK1723: ( fun(nat,fun(real,real)) * real * nat ) > nat ).

tff(func_def_2414,type,
    sK1724: ( fun(nat,fun(real,real)) * real * nat ) > real ).

tff(func_def_2415,type,
    sK1725: ( fun(real,real) * fun(nat,fun(real,real)) * real * nat ) > real ).

tff(func_def_2416,type,
    sK1726: 
      !>[X0: $tType] : ( ( X0 * set(X0) ) > X0 ) ).

tff(func_def_2417,type,
    sK1727: 
      !>[X0: $tType] : ( ( X0 * X0 ) > nat ) ).

tff(func_def_2418,type,
    sK1728: 
      !>[X0: $tType,X1: $tType] : ( fun(X0,X1) > real ) ).

tff(func_def_2419,type,
    sK1729: 
      !>[X0: $tType,X1: $tType] : ( fun(X0,X1) > nat ) ).

tff(func_def_2420,type,
    sK1730: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * nat ) > X0 ) ).

tff(func_def_2421,type,
    sK1731: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * real ) > X0 ) ).

tff(func_def_2422,type,
    sK1732: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_2423,type,
    sK1733: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_2424,type,
    sK1734: 
      !>[X0: $tType] : ( ( X0 * set(X0) ) > X0 ) ).

tff(func_def_2425,type,
    sK1735: ( extended_enat * nat ) > nat ).

tff(func_def_2426,type,
    sK1736: ( fun(nat,nat) * fun(nat,real) ) > nat ).

tff(func_def_2427,type,
    sK1737: fun(nat,real) > nat ).

tff(func_def_2428,type,
    sK1738: ( nat * nat * fun(nat,$o) ) > nat ).

tff(func_def_2429,type,
    sK1739: 
      !>[X0: $tType,X1: $tType] : ( fun(X0,X1) > X0 ) ).

tff(func_def_2430,type,
    sK1740: 
      !>[X0: $tType,X1: $tType] : ( fun(X0,X1) > X0 ) ).

tff(func_def_2431,type,
    sK1741: real > nat ).

tff(func_def_2432,type,
    sK1742: 
      !>[X0: $tType] : ( ( fun(X0,$o) * fun(X0,$o) * option(X0) ) > X0 ) ).

tff(func_def_2433,type,
    sK1743: 
      !>[X0: $tType] : ( ( fun(X0,nat) * fun(X0,nat) ) > X0 ) ).

tff(func_def_2434,type,
    sK1744: real > nat ).

tff(func_def_2435,type,
    sK1745: ( vEBT_VEBT * nat * nat ) > list(vEBT_VEBT) ).

tff(func_def_2436,type,
    sK1746: ( vEBT_VEBT * nat * nat ) > vEBT_VEBT ).

tff(func_def_2437,type,
    sK1747: ( vEBT_VEBT * nat * nat ) > nat ).

tff(func_def_2438,type,
    sK1748: ( vEBT_VEBT * nat * nat ) > nat ).

tff(func_def_2439,type,
    sK1749: ( vEBT_VEBT * nat * nat ) > nat ).

tff(func_def_2440,type,
    sK1753: vEBT_VEBT > vEBT_VEBT ).

tff(func_def_2441,type,
    sK1754: vEBT_VEBT > nat ).

tff(func_def_2442,type,
    sK1755: vEBT_VEBT > list(vEBT_VEBT) ).

tff(func_def_2443,type,
    sK1757: vEBT_VEBT > nat ).

tff(func_def_2444,type,
    sK1758: vEBT_VEBT > nat ).

tff(func_def_2445,type,
    sK1759: vEBT_VEBT > list(vEBT_VEBT) ).

tff(func_def_2446,type,
    sK1760: vEBT_VEBT > vEBT_VEBT ).

tff(func_def_2447,type,
    sK1761: nat > nat ).

tff(func_def_2448,type,
    sK1764: vEBT_VEBT > nat ).

tff(func_def_2449,type,
    sK1765: vEBT_VEBT > nat ).

tff(func_def_2450,type,
    sK1766: vEBT_VEBT > vEBT_VEBT ).

tff(func_def_2451,type,
    sK1767: vEBT_VEBT > list(vEBT_VEBT) ).

tff(func_def_2452,type,
    sK1790: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_2453,type,
    sK1791: 
      !>[X0: $tType] : ( ( fun(X0,$o) * X0 ) > X0 ) ).

tff(func_def_2454,type,
    sK1792: 
      !>[X0: $tType] : ( ( fun(X0,$o) * X0 ) > X0 ) ).

tff(func_def_2455,type,
    sK1793: 
      !>[X0: $tType] : ( ( fun(X0,$o) * X0 ) > X0 ) ).

tff(func_def_2456,type,
    sK1794: 
      !>[X0: $tType] : ( ( fun(X0,$o) * X0 ) > X0 ) ).

tff(func_def_2457,type,
    sK1798: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,$o) * fun(X0,X1) ) > X0 ) ).

tff(func_def_2458,type,
    sK1799: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,$o) * fun(X0,X1) ) > X0 ) ).

tff(func_def_2459,type,
    sK1800: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,$o) * fun(X0,$o) * fun(X1,X0) ) > X1 ) ).

tff(func_def_2460,type,
    sK1801: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,$o) * fun(X1,X0) * fun(X0,X1) ) > X1 ) ).

tff(func_def_2461,type,
    sK1802: vEBT_VEBT > nat ).

tff(func_def_2462,type,
    sK1803: ( int * set(int) * int ) > int ).

tff(func_def_2463,type,
    sK1804: ( int * set(int) * int ) > int ).

tff(func_def_2464,type,
    sK1805: ( int * set(int) ) > int ).

tff(func_def_2465,type,
    sK1806: ( real * real * fun(real,real) ) > real ).

tff(func_def_2466,type,
    sK1807: 
      !>[X0: $tType] : ( option(X0) > X0 ) ).

tff(func_def_2467,type,
    sK1808: 
      !>[X0: $tType] : ( ( fun(X0,$o) * X0 ) > X0 ) ).

tff(func_def_2468,type,
    sK1809: 
      !>[X0: $tType] : ( ( fun(X0,$o) * X0 ) > X0 ) ).

tff(func_def_2469,type,
    sK1810: 
      !>[X0: $tType,X1: $tType] : ( fun(X0,X1) > X0 ) ).

tff(func_def_2470,type,
    sK1811: 
      !>[X0: $tType,X1: $tType] : ( fun(X0,X1) > X0 ) ).

tff(func_def_2471,type,
    sK1812: 
      !>[X0: $tType] : ( ( X0 * X0 ) > X0 ) ).

tff(func_def_2472,type,
    sK1813: ( nat * vEBT_VEBT * nat ) > nat ).

tff(func_def_2473,type,
    sK1814: ( nat * vEBT_VEBT * nat ) > nat ).

tff(func_def_2474,type,
    sK1815: ( nat * vEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_2475,type,
    sK1816: ( nat * vEBT_VEBT * nat ) > nat ).

tff(func_def_2476,type,
    sK1817: ( nat * vEBT_VEBT * nat ) > list(vEBT_VEBT) ).

tff(func_def_2477,type,
    sK1818: ( nat * vEBT_VEBT * nat ) > list(vEBT_VEBT) ).

tff(func_def_2478,type,
    sK1819: ( nat * vEBT_VEBT * nat ) > option(product_prod(nat,nat)) ).

tff(func_def_2479,type,
    sK1820: ( nat * vEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_2480,type,
    sK1821: ( nat * vEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_2481,type,
    sK1822: ( nat * vEBT_VEBT * nat ) > option(product_prod(nat,nat)) ).

tff(func_def_2482,type,
    sK1823: ( nat * vEBT_VEBT * nat ) > list(vEBT_VEBT) ).

tff(func_def_2483,type,
    sK1824: ( nat * vEBT_VEBT * nat ) > list(vEBT_VEBT) ).

tff(func_def_2484,type,
    sK1825: ( nat * vEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_2485,type,
    sK1826: ( nat * vEBT_VEBT * nat ) > nat ).

tff(func_def_2486,type,
    sK1840: ( nat * vEBT_VEBT ) > nat ).

tff(func_def_2487,type,
    sK1841: ( real * nat ) > real ).

tff(func_def_2488,type,
    sK1842: vEBT_VEBT > list(vEBT_VEBT) ).

tff(func_def_2489,type,
    sK1843: vEBT_VEBT > vEBT_VEBT ).

tff(func_def_2490,type,
    sK1844: vEBT_VEBT > option(product_prod(nat,nat)) ).

tff(func_def_2491,type,
    sK1845: ( nat * vEBT_VEBT ) > option(product_prod(nat,nat)) ).

tff(func_def_2492,type,
    sK1846: ( nat * vEBT_VEBT ) > list(vEBT_VEBT) ).

tff(func_def_2493,type,
    sK1847: ( nat * vEBT_VEBT ) > nat ).

tff(func_def_2494,type,
    sK1850: ( nat * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_2495,type,
    sK1854: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * set(X1) ) > X1 ) ).

tff(func_def_2496,type,
    sK1855: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( fun(X2,X0) * fun(X1,X0) * set(X2) * fun(X1,X2) * set(X1) ) > X2 ) ).

tff(func_def_2497,type,
    sK1856: 
      !>[X0: $tType] : ( fun(option(X0),$o) > option(X0) ) ).

tff(func_def_2498,type,
    sK1857: 
      !>[X0: $tType] : ( fun(option(X0),$o) > X0 ) ).

tff(func_def_2499,type,
    sK1858: 
      !>[X0: $tType] : ( fun(X0,$o) > X0 ) ).

tff(func_def_2500,type,
    sK1859: 
      !>[X0: $tType] : ( fun(X0,$o) > X0 ) ).

tff(func_def_2501,type,
    sK1860: 
      !>[X0: $tType] : ( ( fun(X0,$o) * X0 ) > X0 ) ).

tff(func_def_2502,type,
    sK1861: 
      !>[X0: $tType,X1: $tType] : ( ( X1 * fun(X0,X1) * set(X0) ) > X0 ) ).

tff(func_def_2503,type,
    sK1862: 
      !>[X0: $tType] : ( ( list(X0) * set(product_prod(X0,X0)) * list(X0) ) > nat ) ).

tff(func_def_2504,type,
    sK1863: ( fun(nat,$o) * int ) > nat ).

tff(func_def_2505,type,
    sK1864: real > int ).

tff(func_def_2506,type,
    sK1865: real > int ).

tff(func_def_2507,type,
    sK1866: fun(nat,nat) > nat ).

tff(func_def_2508,type,
    sK1867: fun(nat,nat) > nat ).

tff(func_def_2509,type,
    sK1868: 
      !>[X0: $tType] : ( ( fun(X0,X0) * X0 ) > set(X0) ) ).

tff(func_def_2510,type,
    sK1869: 
      !>[X0: $tType] : ( ( fun(X0,X0) * X0 ) > X0 ) ).

tff(func_def_2511,type,
    sK1870: 
      !>[X0: $tType] : ( ( fun(X0,X0) * set(X0) ) > X0 ) ).

tff(func_def_2512,type,
    sK1871: 
      !>[X0: $tType] : ( ( set(X0) * fun(X0,nat) ) > X0 ) ).

tff(func_def_2513,type,
    sK1872: ( real * fun(real,real) * fun(real,real) * real ) > real ).

tff(func_def_2514,type,
    sK1873: ( real * fun(real,real) * real ) > real ).

tff(func_def_2515,type,
    sK1874: fun(nat,rat) > rat ).

tff(func_def_2516,type,
    sK1875: fun(nat,rat) > nat ).

tff(func_def_2517,type,
    sK1876: ( fun(nat,rat) * rat * nat ) > nat ).

tff(func_def_2518,type,
    sK1877: 
      !>[X0: $tType] : ( fun(list(X0),$o) > list(X0) ) ).

tff(func_def_2519,type,
    sK1878: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( X1 * fun(X0,option(X2)) * fun(X1,option(X0)) * X2 ) > X0 ) ).

tff(func_def_2520,type,
    sK1879: 
      !>[X0: $tType] : ( ( X0 * fun(nat,X0) * nat ) > nat ) ).

tff(func_def_2521,type,
    sK1880: ( fun(nat,real) * nat ) > nat ).

tff(func_def_2522,type,
    sK1881: ( fun(nat,real) * nat ) > nat ).

tff(func_def_2523,type,
    sK1882: 
      !>[X0: $tType] : ( ( X0 * set(X0) ) > X0 ) ).

tff(func_def_2524,type,
    sK1883: 
      !>[X0: $tType] : ( ( fun(X0,$o) * fun(X0,$o) * fun(X0,$o) * fun(X0,$o) ) > X0 ) ).

tff(func_def_2525,type,
    sK1884: 
      !>[X0: $tType] : ( ( fun(X0,$o) * fun(X0,$o) * X0 ) > X0 ) ).

tff(func_def_2526,type,
    sK1885: 
      !>[X0: $tType] : ( ( fun(X0,$o) * fun(X0,$o) * X0 ) > X0 ) ).

tff(func_def_2527,type,
    sK1888: 
      !>[X0: $tType] : ( ( fun(nat,X0) * fun(X0,X0) * real ) > X0 ) ).

tff(func_def_2528,type,
    sK1889: 
      !>[X0: $tType] : ( list(X0) > nat ) ).

tff(func_def_2529,type,
    sK1890: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_2530,type,
    sK1891: ( num * num * num ) > num ).

tff(func_def_2531,type,
    sK1892: ( num * num * num ) > num ).

tff(func_def_2532,type,
    sK1893: ( num * num * num ) > num ).

tff(func_def_2533,type,
    sK1900: ( num * num ) > num ).

tff(func_def_2534,type,
    sK1901: ( num * num ) > num ).

tff(func_def_2535,type,
    sK1902: ( num * num * num ) > num ).

tff(func_def_2536,type,
    sK1903: ( num * num * num ) > num ).

tff(func_def_2537,type,
    sK1904: ( num * num * num ) > num ).

tff(func_def_2538,type,
    sK1906: ( num * num * num ) > num ).

tff(func_def_2539,type,
    sK1907: ( num * num * num ) > num ).

tff(func_def_2540,type,
    sK1908: ( num * num * num ) > num ).

tff(func_def_2541,type,
    sK1909: ( num * num * num ) > num ).

tff(func_def_2542,type,
    sK1910: 
      !>[X0: $tType] : ( fun(nat,X0) > real ) ).

tff(func_def_2543,type,
    sK1911: 
      !>[X0: $tType] : ( ( fun(nat,X0) * real ) > nat ) ).

tff(func_def_2544,type,
    sK1912: 
      !>[X0: $tType] : ( ( fun(nat,X0) * nat ) > nat ) ).

tff(func_def_2545,type,
    sK1913: 
      !>[X0: $tType] : ( ( fun(nat,X0) * nat ) > nat ) ).

tff(func_def_2546,type,
    sK1914: fun(num,$o) > num ).

tff(func_def_2547,type,
    sK1915: 
      !>[X0: $tType] : ( ( nat * fun(X0,fun(X0,$o)) * X0 * X0 ) > nat ) ).

tff(func_def_2548,type,
    sK1916: 
      !>[X0: $tType] : ( ( nat * fun(X0,fun(X0,$o)) * X0 * X0 ) > X0 ) ).

tff(func_def_2549,type,
    sK1917: 
      !>[X0: $tType] : ( ( nat * fun(nat,X0) * fun(nat,real) ) > nat ) ).

tff(func_def_2550,type,
    sK1918: 
      !>[X0: $tType] : ( ( nat * fun(nat,X0) * fun(nat,real) ) > nat ) ).

tff(func_def_2551,type,
    sK1919: 
      !>[X0: $tType] : ( ( real * fun(nat,X0) ) > nat ) ).

tff(func_def_2552,type,
    sK1920: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) * fun(list(X0),fun(list(X0),$o)) ) > X0 ) ).

tff(func_def_2553,type,
    sK1921: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) * fun(list(X0),fun(list(X0),$o)) ) > list(X0) ) ).

tff(func_def_2554,type,
    sK1922: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) * fun(list(X0),fun(list(X0),$o)) ) > list(X0) ) ).

tff(func_def_2555,type,
    sK1923: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) * fun(list(X0),fun(list(X0),$o)) ) > X0 ) ).

tff(func_def_2556,type,
    sK1924: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) ) > list(X0) ) ).

tff(func_def_2557,type,
    sK1925: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) ) > X0 ) ).

tff(func_def_2558,type,
    sK1926: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) ) > X0 ) ).

tff(func_def_2559,type,
    sK1927: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) ) > list(X0) ) ).

tff(func_def_2560,type,
    sK1928: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) ) > X0 ) ).

tff(func_def_2561,type,
    sK1929: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) ) > list(X0) ) ).

tff(func_def_2562,type,
    sK1931: ( int * int * fun(int,fun(int,$o)) ) > int ).

tff(func_def_2563,type,
    sK1932: ( int * int * fun(int,fun(int,$o)) ) > int ).

tff(func_def_2564,type,
    sK1933: ( set(int) * int * int ) > int ).

tff(func_def_2565,type,
    sK1934: ( set(int) * int * int ) > int ).

tff(func_def_2566,type,
    sK1935: 
      !>[X0: $tType] : ( fun(X0,$o) > X0 ) ).

tff(func_def_2567,type,
    sK1936: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * X1 * set(X0) ) > X1 ) ).

tff(func_def_2568,type,
    sK1937: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * X1 * set(X0) ) > X0 ) ).

tff(func_def_2569,type,
    sK1938: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * set(X1) ) > X1 ) ).

tff(func_def_2570,type,
    sK1939: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * filter(X0) ) > real ) ).

tff(func_def_2571,type,
    sK1941: extended_enat > nat ).

tff(func_def_2572,type,
    sK1942: extended_enat > nat ).

tff(func_def_2573,type,
    sK1943: extended_enat > nat ).

tff(func_def_2574,type,
    sK1944: extended_enat > nat ).

tff(func_def_2575,type,
    sK1945: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,X1) ) > X0 ) ).

tff(func_def_2576,type,
    sK1946: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * option(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_2577,type,
    sK1947: 
      !>[X0: $tType] : ( ( X0 * X0 ) > nat ) ).

tff(func_def_2578,type,
    sK1948: 
      !>[X0: $tType] : ( ( fun(X0,real) * set(X0) ) > X0 ) ).

tff(func_def_2579,type,
    sK1949: 
      !>[X0: $tType] : ( ( list(X0) * fun(X0,$o) ) > X0 ) ).

tff(func_def_2580,type,
    sK1950: ( int * int * fun(int,fun(int,$o)) ) > int ).

tff(func_def_2581,type,
    sK1951: ( int * int * fun(int,fun(int,$o)) ) > int ).

tff(func_def_2582,type,
    sK1952: 
      !>[X0: $tType] : ( ( X0 * X0 ) > X0 ) ).

tff(func_def_2583,type,
    sK1955: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_2584,type,
    sK1956: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,X1) ) > X1 ) ).

tff(func_def_2585,type,
    sK1957: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,X1) * X1 ) > X0 ) ).

tff(func_def_2586,type,
    sK1958: 
      !>[X0: $tType] : ( fun(X0,X0) > X0 ) ).

tff(func_def_2587,type,
    sK1959: 
      !>[X0: $tType] : ( fun(X0,X0) > X0 ) ).

tff(func_def_2588,type,
    sK1960: ( nat * extended_enat ) > nat ).

tff(func_def_2589,type,
    sK1961: rat > int ).

tff(func_def_2590,type,
    sK1962: rat > int ).

tff(func_def_2591,type,
    sK1963: real > nat ).

tff(func_def_2592,type,
    sK1964: real > nat ).

tff(func_def_2593,type,
    sK1965: ( nat * nat ) > nat ).

tff(func_def_2594,type,
    sK1966: nat > nat ).

tff(func_def_2595,type,
    sK1967: 
      !>[X0: $tType,X1: $tType] : ( ( X0 * fun(X0,X1) * fun(X0,$o) ) > X0 ) ).

tff(func_def_2596,type,
    sK1968: 
      !>[X0: $tType,X1: $tType] : ( ( list(X0) * list(X1) * product_prod(X1,X0) ) > nat ) ).

tff(func_def_2597,type,
    sK1969: 
      !>[X0: $tType] : ( ( X0 * X0 ) > X0 ) ).

tff(func_def_2598,type,
    sK1970: 
      !>[X0: $tType,X1: $tType] : ( ( X1 * fun(X1,$o) * fun(X1,X0) ) > X1 ) ).

tff(func_def_2599,type,
    sK1971: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * set(X0) * fun(X0,X1) ) > X0 ) ).

tff(func_def_2600,type,
    sK1972: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,X1) * fun(X0,X1) ) > X0 ) ).

tff(func_def_2601,type,
    sK1973: 
      !>[X0: $tType,X1: $tType] : ( ( X1 * set(X0) * fun(X0,X1) ) > X0 ) ).

tff(func_def_2602,type,
    sK1974: 
      !>[X0: $tType,X1: $tType] : ( ( filter(X1) * fun(X1,X0) ) > real ) ).

tff(func_def_2603,type,
    sK1975: 
      !>[X0: $tType,X1: $tType] : ( ( filter(X1) * fun(X1,X0) ) > X0 ) ).

tff(func_def_2604,type,
    sK1976: 
      !>[X0: $tType] : ( fun(nat,X0) > real ) ).

tff(func_def_2605,type,
    sK1977: 
      !>[X0: $tType] : ( ( fun(nat,X0) * real ) > nat ) ).

tff(func_def_2606,type,
    sK1978: 
      !>[X0: $tType] : ( ( fun(nat,X0) * nat ) > nat ) ).

tff(func_def_2607,type,
    sK1979: 
      !>[X0: $tType] : ( ( fun(nat,X0) * nat ) > nat ) ).

tff(func_def_2608,type,
    sK1980: ( real * real ) > rat ).

tff(func_def_2609,type,
    sK1981: 
      !>[X0: $tType] : ( ( fun(X0,$o) * fun(X0,$o) * fun(X0,$o) * fun(X0,$o) ) > X0 ) ).

tff(func_def_2610,type,
    sK1982: 
      !>[X0: $tType] : ( ( fun(X0,$o) * fun(X0,$o) * X0 ) > X0 ) ).

tff(func_def_2611,type,
    sK1983: 
      !>[X0: $tType] : ( ( fun(X0,$o) * fun(X0,$o) * X0 ) > X0 ) ).

tff(func_def_2612,type,
    sK2003: real > nat ).

tff(func_def_2613,type,
    sK2004: real > nat ).

tff(func_def_2614,type,
    sK2005: 
      !>[X0: $tType,X1: $tType] : ( ( X0 * list(product_prod(X0,X1)) ) > X1 ) ).

tff(func_def_2615,type,
    sK2006: ( vEBT_VEBT * option(nat) ) > nat ).

tff(func_def_2616,type,
    sK2007: ( vEBT_VEBT * option(nat) ) > vEBT_VEBT ).

tff(func_def_2617,type,
    sK2008: ( vEBT_VEBT * option(nat) ) > list(vEBT_VEBT) ).

tff(func_def_2618,type,
    sK2009: ( vEBT_VEBT * option(nat) ) > nat ).

tff(func_def_2619,type,
    sK2010: ( vEBT_VEBT * option(nat) ) > nat ).

tff(func_def_2620,type,
    sK2011: ( vEBT_VEBT * option(nat) ) > vEBT_VEBT ).

tff(func_def_2621,type,
    sK2012: ( vEBT_VEBT * option(nat) ) > list(vEBT_VEBT) ).

tff(func_def_2622,type,
    sK2013: ( vEBT_VEBT * option(nat) ) > nat ).

tff(func_def_2623,type,
    sK2017: ( fun(nat,$o) * nat ) > nat ).

tff(func_def_2624,type,
    sK2018: ( fun(nat,$o) * nat ) > nat ).

tff(func_def_2625,type,
    sK2019: ( int * int * fun(int,$o) ) > int ).

tff(func_def_2626,type,
    sK2020: ( int * int * fun(int,$o) ) > int ).

tff(func_def_2627,type,
    sK2021: ( int * int * fun(int,$o) ) > int ).

tff(func_def_2628,type,
    sK2022: ( int * int * fun(int,$o) ) > int ).

tff(func_def_2629,type,
    sK2024: 
      !>[X0: $tType] : ( ( fun(X0,X0) * X0 ) > nat ) ).

tff(func_def_2630,type,
    sK2025: fun(extended_enat,$o) > extended_enat ).

tff(func_def_2631,type,
    sK2026: fun(extended_enat,$o) > nat ).

tff(func_def_2632,type,
    sK2027: 
      !>[X0: $tType] : ( X0 > X0 ) ).

tff(func_def_2633,type,
    sK2032: vEBT_VEBT > vEBT_VEBT ).

tff(func_def_2634,type,
    sK2033: vEBT_VEBT > nat ).

tff(func_def_2635,type,
    sK2034: vEBT_VEBT > list(vEBT_VEBT) ).

tff(func_def_2636,type,
    sK2038: vEBT_VEBT > vEBT_VEBT ).

tff(func_def_2637,type,
    sK2039: vEBT_VEBT > product_prod(nat,nat) ).

tff(func_def_2638,type,
    sK2040: vEBT_VEBT > list(vEBT_VEBT) ).

tff(func_def_2639,type,
    sK2041: ( nat * option(nat) * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_2640,type,
    sK2042: ( nat * option(nat) * vEBT_VEBT ) > nat ).

tff(func_def_2641,type,
    sK2043: ( nat * option(nat) * vEBT_VEBT ) > nat ).

tff(func_def_2642,type,
    sK2044: ( nat * option(nat) * vEBT_VEBT ) > list(vEBT_VEBT) ).

tff(func_def_2643,type,
    sK2045: ( nat * option(nat) * vEBT_VEBT ) > nat ).

tff(func_def_2644,type,
    sK2048: vEBT_VEBT > vEBT_VEBT ).

tff(func_def_2645,type,
    sK2049: vEBT_VEBT > product_prod(nat,nat) ).

tff(func_def_2646,type,
    sK2050: vEBT_VEBT > list(vEBT_VEBT) ).

tff(func_def_2647,type,
    sK2054: nat > nat ).

tff(func_def_2648,type,
    sK2055: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * fun(X0,X1) ) > X0 ) ).

tff(func_def_2649,type,
    sK2056: ( nat * nat * set(nat) ) > nat ).

tff(func_def_2650,type,
    sK2057: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,X0) * fun(X1,X0) ) > X1 ) ).

tff(func_def_2651,type,
    sK2058: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( set(X2) * set(X0) * fun(X2,X1) * fun(X0,X1) ) > X0 ) ).

tff(func_def_2652,type,
    sK2059: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * fun(X0,$o) * fun(X0,$o) ) > X0 ) ).

tff(func_def_2653,type,
    sK2060: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * X0 * fun(X0,$o) ) > X0 ) ).

tff(func_def_2654,type,
    sK2061: ( nat * nat ) > nat ).

tff(func_def_2655,type,
    sK2062: ( nat * nat ) > nat ).

tff(func_def_2656,type,
    sK2063: ( nat * nat ) > nat ).

tff(func_def_2657,type,
    sK2064: ( nat * $o * vEBT_VEBT ) > product_prod(nat,nat) ).

tff(func_def_2658,type,
    sK2065: ( nat * $o * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_2659,type,
    sK2066: ( nat * $o * vEBT_VEBT ) > list(vEBT_VEBT) ).

tff(func_def_2660,type,
    sK2067: ( nat * $o * vEBT_VEBT ) > list(vEBT_VEBT) ).

tff(func_def_2661,type,
    sK2068: ( nat * $o * vEBT_VEBT ) > nat ).

tff(func_def_2662,type,
    sK2069: ( nat * $o * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_2663,type,
    sK2070: ( nat * $o * vEBT_VEBT ) > nat ).

tff(func_def_2664,type,
    sK2071: ( nat * $o * vEBT_VEBT ) > nat ).

tff(func_def_2665,type,
    sK2072: ( nat * $o * vEBT_VEBT ) > list(vEBT_VEBT) ).

tff(func_def_2666,type,
    sK2073: ( nat * $o * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_2667,type,
    sK2074: ( nat * $o * vEBT_VEBT ) > nat ).

tff(func_def_2668,type,
    sK2075: ( nat * $o * vEBT_VEBT ) > list(vEBT_VEBT) ).

tff(func_def_2669,type,
    sK2076: ( nat * $o * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_2670,type,
    sK2077: ( nat * $o * vEBT_VEBT ) > product_prod(nat,nat) ).

tff(func_def_2671,type,
    sK2085: 
      !>[X0: $tType] : ( ( set(nat) * list(X0) * X0 ) > nat ) ).

tff(func_def_2672,type,
    sK2086: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) ) > list(X0) ) ).

tff(func_def_2673,type,
    sK2087: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) ) > nat ) ).

tff(func_def_2674,type,
    sK2088: 
      !>[X0: $tType] : ( X0 > X0 ) ).

tff(func_def_2675,type,
    sK2089: 
      !>[X0: $tType] : ( X0 > int ) ).

tff(func_def_2676,type,
    sK2090: 
      !>[X0: $tType,X1: $tType] : ( ( filter(X1) * fun(X1,X0) * X0 ) > X0 ) ).

tff(func_def_2677,type,
    sK2091: fun(nat,$o) > nat ).

tff(func_def_2678,type,
    sK2092: ( nat * nat ) > nat ).

tff(func_def_2679,type,
    sK2093: 
      !>[X0: $tType] : ( set(list(X0)) > nat ) ).

tff(func_def_2680,type,
    sK2094: ( set(nat) * nat ) > nat ).

tff(func_def_2681,type,
    sK2095: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_2682,type,
    sK2096: 
      !>[X0: $tType] : ( fun(nat,X0) > fun(product_prod(X0,X0),$o) ) ).

tff(func_def_2683,type,
    sK2097: 
      !>[X0: $tType] : ( ( fun(nat,X0) * fun(product_prod(X0,X0),$o) ) > nat ) ).

tff(func_def_2684,type,
    sK2098: 
      !>[X0: $tType] : ( ( fun(nat,X0) * nat ) > nat ) ).

tff(func_def_2685,type,
    sK2099: 
      !>[X0: $tType] : ( ( fun(nat,X0) * nat ) > nat ) ).

tff(func_def_2686,type,
    sK2100: 
      !>[X0: $tType] : ( ( X0 * set(X0) * fun(X0,fun(X0,$o)) ) > X0 ) ).

tff(func_def_2687,type,
    sK2101: 
      !>[X0: $tType,X1: $tType] : ( ( X1 * fun(X1,X0) * list(X1) ) > X1 ) ).

tff(func_def_2688,type,
    sK2102: 
      !>[X0: $tType,X1: $tType] : ( ( X1 * fun(X1,X0) * list(X1) ) > X1 ) ).

tff(func_def_2689,type,
    sK2103: 
      !>[X0: $tType,X1: $tType] : ( ( X1 * fun(X1,X0) * list(X1) ) > list(X1) ) ).

tff(func_def_2690,type,
    sK2104: 
      !>[X0: $tType,X1: $tType] : ( ( X1 * fun(X1,X0) * list(X1) ) > X1 ) ).

tff(func_def_2691,type,
    sK2106: 
      !>[X0: $tType] : ( set(set(X0)) > set(X0) ) ).

tff(func_def_2692,type,
    sK2107: 
      !>[X0: $tType] : ( fun(X0,fun(X0,X0)) > X0 ) ).

tff(func_def_2693,type,
    sK2108: 
      !>[X0: $tType] : ( fun(X0,fun(X0,X0)) > X0 ) ).

tff(func_def_2694,type,
    sK2109: 
      !>[X0: $tType] : ( fun(X0,fun(X0,X0)) > X0 ) ).

tff(func_def_2695,type,
    sK2110: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * set(X1) ) > X1 ) ).

tff(func_def_2696,type,
    sK2111: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * set(X1) ) > X1 ) ).

tff(func_def_2697,type,
    sK2112: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_2698,type,
    sK2113: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_2699,type,
    sK2114: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,X1) * fun(X0,X1) ) > X0 ) ).

tff(func_def_2700,type,
    sK2115: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,real) * fun(X1,X0) * X1 * real * set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_2701,type,
    sK2116: set(int) > int ).

tff(func_def_2702,type,
    sK2117: ( set(int) * int ) > int ).

tff(func_def_2703,type,
    sK2118: 
      !>[X0: $tType] : nat ).

tff(func_def_2704,type,
    sK2119: 
      !>[X0: $tType] : ( fun(nat,X0) > nat ) ).

tff(func_def_2705,type,
    sK2120: fun(nat,real) > nat ).

tff(func_def_2706,type,
    sK2121: fun(nat,real) > nat ).

tff(func_def_2707,type,
    sK2122: ( nat * extended_enat * extended_enat ) > nat ).

tff(func_def_2708,type,
    sK2123: ( nat * extended_enat * extended_enat ) > nat ).

tff(func_def_2709,type,
    sK2124: 
      !>[X0: $tType] : ( ( set(X0) * fun(X0,nat) ) > X0 ) ).

tff(func_def_2710,type,
    sK2125: 
      !>[X0: $tType] : ( ( set(X0) * fun(X0,nat) * X0 ) > X0 ) ).

tff(func_def_2711,type,
    sK2126: fun(nat,rat) > rat ).

tff(func_def_2712,type,
    sK2127: ( fun(nat,rat) * nat ) > nat ).

tff(func_def_2713,type,
    sK2128: 
      !>[X0: $tType] : ( ( real * fun(nat,X0) * nat ) > nat ) ).

tff(func_def_2714,type,
    sK2129: 
      !>[X0: $tType] : ( ( set(X0) * X0 * fun(X0,X0) * fun(X0,X0) * real ) > X0 ) ).

tff(func_def_2715,type,
    sK2130: ( nat * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_2716,type,
    sK2131: ( nat * vEBT_VEBT ) > nat ).

tff(func_def_2717,type,
    sK2132: ( nat * vEBT_VEBT ) > option(product_prod(nat,nat)) ).

tff(func_def_2718,type,
    sK2133: ( nat * vEBT_VEBT ) > list(vEBT_VEBT) ).

tff(func_def_2719,type,
    sK2139: list(vEBT_VEBT) > vEBT_VEBT ).

tff(func_def_2720,type,
    sK2140: vEBT_VEBT > nat ).

tff(func_def_2721,type,
    sK2141: list(vEBT_VEBT) > nat ).

tff(func_def_2722,type,
    sK2142: ( product_prod(int,int) * int * int ) > int ).

tff(func_def_2723,type,
    sK2143: ( product_prod(int,int) * int * int ) > int ).

tff(func_def_2724,type,
    sK2144: ( product_prod(int,int) * int * int ) > int ).

tff(func_def_2725,type,
    sK2145: 
      !>[X0: $tType,X1: $tType] : ( X1 > X0 ) ).

tff(func_def_2726,type,
    sK2146: ( fun(nat,real) * nat ) > nat ).

tff(func_def_2727,type,
    sK2147: ( fun(nat,real) * nat ) > nat ).

tff(func_def_2728,type,
    sK2148: 
      !>[X0: $tType] : ( ( nat * set(X0) ) > set(X0) ) ).

tff(func_def_2729,type,
    sK2149: 
      !>[X0: $tType] : ( ( X0 * X0 ) > nat ) ).

tff(func_def_2730,type,
    sK2151: 
      !>[X0: $tType] : ( option(X0) > X0 ) ).

tff(func_def_2731,type,
    sK2152: 
      !>[X0: $tType] : ( ( fun(X0,$o) * fun(X0,nat) ) > X0 ) ).

tff(func_def_2732,type,
    sK2153: 
      !>[X0: $tType] : ( ( fun(nat,X0) * X0 * nat ) > fun(nat,X0) ) ).

tff(func_def_2733,type,
    sK2154: fun(nat,$o) > nat ).

tff(func_def_2734,type,
    sK2155: fun(nat,$o) > int ).

tff(func_def_2735,type,
    sK2156: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_2736,type,
    sK2157: nat > nat ).

tff(func_def_2737,type,
    sK2158: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( fun(X2,X1) * set(X0) * fun(X0,X2) ) > X0 ) ).

tff(func_def_2738,type,
    sK2159: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( fun(X2,X1) * set(X0) * fun(X0,X2) ) > X0 ) ).

tff(func_def_2739,type,
    sK2160: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,X0) * set(X1) ) > X1 ) ).

tff(func_def_2740,type,
    sK2161: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,set(X0)) ) > X1 ) ).

tff(func_def_2741,type,
    sK2162: 
      !>[X0: $tType] : ( ( X0 * X0 * fun(X0,$o) ) > X0 ) ).

tff(func_def_2742,type,
    sK2163: 
      !>[X0: $tType] : ( fun(nat,X0) > real ) ).

tff(func_def_2743,type,
    sK2164: ( nat * fun(nat,$o) * nat ) > nat ).

tff(func_def_2744,type,
    sK2165: 
      !>[X0: $tType,X1: $tType] : ( ( X1 * fun(X1,X0) * fun(X1,X0) ) > fun(X1,X0) ) ).

tff(func_def_2745,type,
    sK2166: 
      !>[X0: $tType,X1: $tType] : ( ( X1 * fun(X1,X0) * fun(X1,X0) * fun(X1,X0) ) > X1 ) ).

tff(func_def_2746,type,
    sK2167: 
      !>[X0: $tType,X1: $tType] : ( ( filter(X1) * fun(X1,X0) ) > X0 ) ).

tff(func_def_2747,type,
    sK2168: ( fun(int,$o) * int ) > int ).

tff(func_def_2748,type,
    sK2169: 
      !>[X0: $tType] : ( filter(X0) > real ) ).

tff(func_def_2749,type,
    sK2170: 
      !>[X0: $tType] : ( ( filter(X0) * real ) > fun(X0,$o) ) ).

tff(func_def_2750,type,
    sK2171: 
      !>[X0: $tType] : ( ( filter(X0) * fun(X0,$o) ) > X0 ) ).

tff(func_def_2751,type,
    sK2172: 
      !>[X0: $tType] : ( ( filter(X0) * fun(X0,$o) ) > X0 ) ).

tff(func_def_2752,type,
    sK2173: rat > int ).

tff(func_def_2753,type,
    sK2174: rat > int ).

tff(func_def_2754,type,
    sK2175: 
      !>[X0: $tType] : ( ( fun(nat,X0) * X0 ) > real ) ).

tff(func_def_2755,type,
    sK2176: 
      !>[X0: $tType] : ( ( fun(nat,X0) * X0 * real ) > nat ) ).

tff(func_def_2756,type,
    sK2177: 
      !>[X0: $tType] : ( ( fun(nat,X0) * X0 * nat ) > nat ) ).

tff(func_def_2757,type,
    sK2178: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * set(X0) * X1 ) > X0 ) ).

tff(func_def_2758,type,
    sK2179: ( nat * nat * fun(nat,$o) ) > nat ).

tff(func_def_2759,type,
    sK2180: 
      !>[X0: $tType] : ( fun(X0,$o) > X0 ) ).

tff(func_def_2760,type,
    sK2181: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,real) * fun(X1,X0) ) > X1 ) ).

tff(func_def_2761,type,
    sK2182: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( set(X1) * fun(X1,X2) * fun(X0,X2) * set(X0) ) > X1 ) ).

tff(func_def_2762,type,
    sK2183: ( num * num * num ) > num ).

tff(func_def_2763,type,
    sK2184: ( num * num * num ) > num ).

tff(func_def_2764,type,
    sK2185: ( num * num * num ) > num ).

tff(func_def_2765,type,
    sK2186: ( num * num * num ) > num ).

tff(func_def_2766,type,
    sK2187: ( num * num * num ) > num ).

tff(func_def_2767,type,
    sK2188: ( num * num * num ) > num ).

tff(func_def_2768,type,
    sK2191: ( num * num ) > num ).

tff(func_def_2769,type,
    sK2196: ( num * num ) > num ).

tff(func_def_2770,type,
    sK2198: ( num * num * num ) > num ).

tff(func_def_2771,type,
    sK2199: ( num * num * num ) > num ).

tff(func_def_2772,type,
    sK2200: ( num * num * num ) > num ).

tff(func_def_2773,type,
    sK2201: ( num * num * num ) > num ).

tff(func_def_2774,type,
    sK2202: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_2775,type,
    sK2203: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_2776,type,
    sK2204: 
      !>[X0: $tType] : ( ( fun(X0,$o) * X0 ) > set(X0) ) ).

tff(func_def_2777,type,
    sK2205: 
      !>[X0: $tType] : ( ( fun(X0,X0) * fun(X0,$o) * X0 ) > X0 ) ).

tff(func_def_2778,type,
    sK2206: 
      !>[X0: $tType] : ( ( fun(X0,$o) * set(X0) ) > X0 ) ).

tff(func_def_2779,type,
    sK2207: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * set(X1) ) > X1 ) ).

tff(func_def_2780,type,
    sK2208: ( set(int) * int * int ) > int ).

tff(func_def_2781,type,
    sK2209: ( set(int) * int * int ) > int ).

tff(func_def_2782,type,
    sK2210: 
      !>[X0: $tType] : X0 ).

tff(func_def_2783,type,
    sK2211: 
      !>[X0: $tType] : X0 ).

tff(func_def_2784,type,
    sK2212: 
      !>[X0: $tType] : ( fun(nat,X0) > real ) ).

tff(func_def_2785,type,
    sK2213: 
      !>[X0: $tType] : ( fun(nat,X0) > nat ) ).

tff(func_def_2786,type,
    sK2214: 
      !>[X0: $tType] : ( ( fun(nat,X0) * real * nat ) > nat ) ).

tff(func_def_2787,type,
    sK2215: ( nat * real * fun(nat,fun(real,real)) ) > real ).

tff(func_def_2788,type,
    sK2216: ( nat * real * fun(nat,fun(real,real)) ) > nat ).

tff(func_def_2789,type,
    sK2217: 
      !>[X0: $tType,X1: $tType] : ( ( X1 * X0 * fun(X0,X1) * real ) > X0 ) ).

tff(func_def_2790,type,
    sK2218: ( set(int) * int * int ) > int ).

tff(func_def_2791,type,
    sK2219: ( set(int) * int * int ) > int ).

tff(func_def_2792,type,
    sK2220: complex > nat ).

tff(func_def_2793,type,
    sK2221: ( vEBT_VEBT * vEBT_VEBT * extended_enat ) > list(vEBT_VEBT) ).

tff(func_def_2794,type,
    sK2222: ( vEBT_VEBT * vEBT_VEBT * extended_enat ) > vEBT_VEBT ).

tff(func_def_2795,type,
    sK2223: ( vEBT_VEBT * vEBT_VEBT * extended_enat ) > nat ).

tff(func_def_2796,type,
    sK2224: ( vEBT_VEBT * vEBT_VEBT * extended_enat ) > option(product_prod(nat,nat)) ).

tff(func_def_2797,type,
    sK2225: ( vEBT_VEBT * vEBT_VEBT * extended_enat ) > list(vEBT_VEBT) ).

tff(func_def_2798,type,
    sK2226: ( vEBT_VEBT * vEBT_VEBT * extended_enat ) > nat ).

tff(func_def_2799,type,
    sK2227: ( vEBT_VEBT * vEBT_VEBT * extended_enat ) > option(product_prod(nat,nat)) ).

tff(func_def_2800,type,
    sK2228: ( vEBT_VEBT * vEBT_VEBT * extended_enat ) > vEBT_VEBT ).

tff(func_def_2801,type,
    sK2232: ( vEBT_VEBT * extended_enat * list(vEBT_VEBT) * option(product_prod(nat,nat)) * vEBT_VEBT * nat ) > nat ).

tff(func_def_2802,type,
    sK2239: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * set(X0) ) > fun(X0,X1) ) ).

tff(func_def_2803,type,
    sK2242: ( vEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_2804,type,
    sK2243: ( vEBT_VEBT * nat ) > list(vEBT_VEBT) ).

tff(func_def_2805,type,
    sK2244: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_2806,type,
    sK2245: ( vEBT_VEBT * nat ) > option(product_prod(nat,nat)) ).

tff(func_def_2807,type,
    sK2251: ( nat * list(vEBT_VEBT) ) > vEBT_VEBT ).

tff(func_def_2808,type,
    sK2252: list(vEBT_VEBT) > vEBT_VEBT ).

tff(func_def_2809,type,
    sK2253: vEBT_VEBT > nat ).

tff(func_def_2810,type,
    sK2254: list(vEBT_VEBT) > nat ).

tff(func_def_2811,type,
    sK2255: 
      !>[X0: $tType,X1: $tType] : ( fun(X0,X1) > X0 ) ).

tff(func_def_2812,type,
    sK2256: 
      !>[X0: $tType,X1: $tType] : ( fun(X0,X1) > X0 ) ).

tff(func_def_2813,type,
    sK2257: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_2814,type,
    sK2258: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_2815,type,
    sK2259: 
      !>[X0: $tType] : ( ( set(X0) * X0 * X0 ) > X0 ) ).

tff(func_def_2816,type,
    sK2260: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_2817,type,
    sK2261: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_2818,type,
    sK2262: fun(nat,rat) > rat ).

tff(func_def_2819,type,
    sK2263: 
      !>[X0: $tType] : ( ( fun(X0,$o) * list(X0) * X0 ) > nat ) ).

tff(func_def_2820,type,
    sK2264: 
      !>[X0: $tType] : ( ( fun(X0,$o) * list(X0) * nat ) > nat ) ).

tff(func_def_2821,type,
    sK2265: 
      !>[X0: $tType] : ( ( X0 * set(X0) ) > X0 ) ).

tff(func_def_2822,type,
    sK2266: fun(nat,nat) > nat ).

tff(func_def_2823,type,
    sK2267: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( set(X0) * set(X1) * fun(X0,X2) * fun(X1,X2) ) > X0 ) ).

tff(func_def_2824,type,
    sK2268: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( set(X0) * set(X1) * fun(X0,X2) * fun(X1,X2) ) > X1 ) ).

tff(func_def_2825,type,
    sK2269: 
      !>[X0: $tType] : ( X0 > nat ) ).

tff(func_def_2826,type,
    sK2270: option(nat) > extended_enat ).

tff(func_def_2827,type,
    sK2271: 
      !>[X0: $tType] : ( set(X0) > list(X0) ) ).

tff(func_def_2828,type,
    sK2272: 
      !>[X0: $tType,X1: $tType] : ( ( filter(X0) * X1 * fun(X0,X1) ) > X1 ) ).

tff(func_def_2829,type,
    sK2273: 
      !>[X0: $tType,X1: $tType] : ( ( filter(X0) * X1 * fun(X0,X1) ) > X1 ) ).

tff(func_def_2830,type,
    sK2274: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * set(X1) * X0 ) > X1 ) ).

tff(func_def_2831,type,
    sK2275: ( vEBT_VEBT * $o * nat ) > option(product_prod(nat,nat)) ).

tff(func_def_2832,type,
    sK2276: ( vEBT_VEBT * $o * nat ) > vEBT_VEBT ).

tff(func_def_2833,type,
    sK2277: ( vEBT_VEBT * $o * nat ) > nat ).

tff(func_def_2834,type,
    sK2278: ( vEBT_VEBT * $o * nat ) > list(vEBT_VEBT) ).

tff(func_def_2835,type,
    sK2284: ( nat * list(vEBT_VEBT) ) > vEBT_VEBT ).

tff(func_def_2836,type,
    sK2285: list(vEBT_VEBT) > vEBT_VEBT ).

tff(func_def_2837,type,
    sK2286: vEBT_VEBT > nat ).

tff(func_def_2838,type,
    sK2287: list(vEBT_VEBT) > nat ).

tff(func_def_2839,type,
    sK2288: 
      !>[X0: $tType] : ( ( X0 * fun(X0,$o) ) > real ) ).

tff(func_def_2840,type,
    sK2289: 
      !>[X0: $tType] : ( ( X0 * fun(X0,$o) * real ) > X0 ) ).

tff(func_def_2841,type,
    sK2290: 
      !>[X0: $tType,X1: $tType] : ( fun(X1,X0) > X1 ) ).

tff(func_def_2842,type,
    sK2291: 
      !>[X0: $tType,X1: $tType] : ( fun(X1,X0) > X1 ) ).

tff(func_def_2843,type,
    sK2292: extended_enat > nat ).

tff(func_def_2844,type,
    sK2293: 
      !>[X0: $tType] : ( ( fun(X0,$o) * list(X0) ) > nat ) ).

tff(func_def_2845,type,
    sK2294: 
      !>[X0: $tType] : ( ( fun(X0,$o) * list(X0) ) > X0 ) ).

tff(func_def_2846,type,
    sK2295: 
      !>[X0: $tType] : ( ( set(X0) * fun(X0,real) ) > set(X0) ) ).

tff(func_def_2847,type,
    sK2298: ( vEBT_VEBT * vEBT_VEBT * nat ) > option(product_prod(nat,nat)) ).

tff(func_def_2848,type,
    sK2299: ( vEBT_VEBT * vEBT_VEBT * nat ) > list(vEBT_VEBT) ).

tff(func_def_2849,type,
    sK2300: ( vEBT_VEBT * vEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_2850,type,
    sK2301: ( vEBT_VEBT * vEBT_VEBT * nat ) > list(vEBT_VEBT) ).

tff(func_def_2851,type,
    sK2302: ( vEBT_VEBT * vEBT_VEBT * nat ) > option(product_prod(nat,nat)) ).

tff(func_def_2852,type,
    sK2303: ( vEBT_VEBT * vEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_2853,type,
    sK2304: ( vEBT_VEBT * vEBT_VEBT * nat ) > list(vEBT_VEBT) ).

tff(func_def_2854,type,
    sK2305: ( vEBT_VEBT * vEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_2855,type,
    sK2306: ( vEBT_VEBT * vEBT_VEBT * nat ) > nat ).

tff(func_def_2856,type,
    sK2307: ( vEBT_VEBT * vEBT_VEBT * nat ) > nat ).

tff(func_def_2857,type,
    sK2308: ( vEBT_VEBT * vEBT_VEBT * nat ) > list(vEBT_VEBT) ).

tff(func_def_2858,type,
    sK2309: ( vEBT_VEBT * vEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_2859,type,
    sK2310: ( vEBT_VEBT * vEBT_VEBT * nat ) > nat ).

tff(func_def_2860,type,
    sK2311: ( vEBT_VEBT * vEBT_VEBT * nat ) > nat ).

tff(func_def_2861,type,
    sK2327: ( real * nat * fun(nat,fun(real,real)) * real ) > real ).

tff(func_def_2862,type,
    sK2328: ( real * nat * fun(nat,fun(real,real)) * real ) > nat ).

tff(func_def_2863,type,
    sK2329: ( real * nat * fun(nat,fun(real,real)) * real * fun(real,real) ) > real ).

tff(func_def_2864,type,
    sK2330: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * set(X1) * X0 ) > X0 ) ).

tff(func_def_2865,type,
    sK2331: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * set(X1) * X0 ) > X1 ) ).

tff(func_def_2866,type,
    sK2332: 
      !>[X0: $tType] : ( ( fun(X0,$o) * fun(X0,$o) ) > X0 ) ).

tff(func_def_2867,type,
    sK2333: 
      !>[X0: $tType] : ( fun(X0,X0) > X0 ) ).

tff(func_def_2868,type,
    sK2334: 
      !>[X0: $tType] : ( fun(X0,X0) > X0 ) ).

tff(func_def_2869,type,
    sK2335: fun(nat,real) > real ).

tff(func_def_2870,type,
    sK2336: fun(nat,real) > nat ).

tff(func_def_2871,type,
    sK2337: fun(nat,real) > nat ).

tff(func_def_2872,type,
    sK2338: complex > int ).

tff(func_def_2873,type,
    sK2339: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * set(X0) * fun(X0,X1) ) > X0 ) ).

tff(func_def_2874,type,
    sK2340: 
      !>[X0: $tType,X1: $tType] : ( ( X1 * X0 * fun(X0,X1) * X0 ) > X0 ) ).

tff(func_def_2875,type,
    sK2341: 
      !>[X0: $tType,X1: $tType] : ( ( X0 * fun(X0,X1) * X0 ) > X0 ) ).

tff(func_def_2876,type,
    sK2342: 
      !>[X0: $tType,X1: $tType] : ( ( X1 * fun(X0,X1) * option(X0) ) > X0 ) ).

tff(func_def_2877,type,
    sK2343: 
      !>[X0: $tType] : ( ( fun(nat,X0) * nat ) > X0 ) ).

tff(func_def_2878,type,
    sK2344: 
      !>[X0: $tType,X1: $tType] : ( ( X1 * X0 * X0 * fun(X0,X1) ) > X0 ) ).

tff(func_def_2879,type,
    sK2345: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_2880,type,
    sK2346: ( set(int) * fun(int,$o) * int ) > int ).

tff(func_def_2881,type,
    sK2347: ( fun(int,$o) * set(int) * int ) > int ).

tff(func_def_2882,type,
    sK2352: ( set(int) * int * int ) > int ).

tff(func_def_2883,type,
    sK2353: ( set(int) * int * int ) > int ).

tff(func_def_2884,type,
    sK2354: 
      !>[X0: $tType] : ( ( X0 * nat * X0 * fun(X0,fun(X0,$o)) ) > nat ) ).

tff(func_def_2885,type,
    sK2355: 
      !>[X0: $tType] : ( ( X0 * nat * X0 * fun(X0,fun(X0,$o)) ) > X0 ) ).

tff(func_def_2886,type,
    sK2356: 
      !>[X0: $tType] : ( ( set(X0) * fun(X0,X0) ) > X0 ) ).

tff(func_def_2887,type,
    sK2357: 
      !>[X0: $tType,X1: $tType] : ( fun(X1,X0) > X1 ) ).

tff(func_def_2888,type,
    sK2358: 
      !>[X0: $tType,X1: $tType] : ( fun(X1,X0) > X1 ) ).

tff(func_def_2889,type,
    sK2359: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_2890,type,
    sK2360: 
      !>[X0: $tType] : ( nat > nat ) ).

tff(func_def_2891,type,
    sK2361: 
      !>[X0: $tType] : ( ( X0 * X0 * X0 ) > X0 ) ).

tff(func_def_2892,type,
    sK2362: 
      !>[X0: $tType] : ( ( set(X0) * fun(nat,set(X0)) ) > nat ) ).

tff(func_def_2893,type,
    sK2363: ( real * fun(nat,fun(real,real)) * nat * fun(real,real) ) > real ).

tff(func_def_2894,type,
    sK2364: ( real * fun(nat,fun(real,real)) * nat ) > real ).

tff(func_def_2895,type,
    sK2365: ( real * fun(nat,fun(real,real)) * nat ) > nat ).

tff(func_def_2896,type,
    sK2366: ( real * real ) > real ).

tff(func_def_2897,type,
    sK2367: fun(nat,$o) > nat ).

tff(func_def_2898,type,
    sK2368: fun(nat,real) > nat ).

tff(func_def_2899,type,
    sK2369: fun(nat,real) > nat ).

tff(func_def_2900,type,
    sK2370: 
      !>[X0: $tType] : ( ( X0 * X0 ) > X0 ) ).

tff(func_def_2901,type,
    sK2371: 
      !>[X0: $tType] : ( ( X0 * X0 ) > X0 ) ).

tff(func_def_2902,type,
    sK2372: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) ) > fun(nat,nat) ) ).

tff(func_def_2903,type,
    sK2373: 
      !>[X0: $tType] : ( ( list(X0) * fun(nat,nat) ) > nat ) ).

tff(func_def_2904,type,
    sK2374: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) * fun(nat,nat) ) > nat ) ).

tff(func_def_2905,type,
    sK2375: fun(nat,real) > nat ).

tff(func_def_2906,type,
    sK2376: ( fun(nat,real) * nat ) > nat ).

tff(func_def_2907,type,
    sK2377: ( fun(nat,real) * nat ) > nat ).

tff(func_def_2908,type,
    sK2378: ( fun(nat,real) * nat ) > nat ).

tff(func_def_2909,type,
    sK2379: fun(real,real) > real ).

tff(func_def_2910,type,
    sK2380: 
      !>[X0: $tType] : ( X0 > int ) ).

tff(func_def_2911,type,
    sK2381: 
      !>[X0: $tType] : ( X0 > int ) ).

tff(func_def_2912,type,
    sK2382: 
      !>[X0: $tType] : X0 ).

tff(func_def_2913,type,
    sK2383: 
      !>[X0: $tType] : X0 ).

tff(func_def_2914,type,
    sK2384: ( fun(real,real) * real ) > real ).

tff(func_def_2915,type,
    sK2385: 
      !>[X0: $tType] : ( ( fun(nat,set(X0)) * nat * fun(nat,set(X0)) ) > nat ) ).

tff(func_def_2916,type,
    sK2386: 
      !>[X0: $tType] : ( ( fun(nat,nat) * fun(nat,X0) ) > nat ) ).

tff(func_def_2917,type,
    sK2387: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) ) > nat ) ).

tff(func_def_2918,type,
    sK2388: set(nat) > nat ).

tff(func_def_2919,type,
    sK2389: ( set(nat) * nat ) > nat ).

tff(func_def_2920,type,
    sK2390: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,X1) * set(X0) ) > X0 ) ).

tff(func_def_2921,type,
    sK2391: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * fun(X1,X0) ) > X1 ) ).

tff(func_def_2922,type,
    sK2394: 
      !>[X0: $tType] : ( fun(nat,X0) > nat ) ).

tff(func_def_2923,type,
    sK2395: ( fun(nat,$o) * nat ) > nat ).

tff(func_def_2924,type,
    sK2396: ( fun(nat,$o) * nat ) > nat ).

tff(func_def_2925,type,
    sK2397: 
      !>[X0: $tType] : ( ( fun(nat,set(X0)) * set(X0) ) > nat ) ).

tff(func_def_2926,type,
    sK2398: 
      !>[X0: $tType] : ( ( fun(nat,set(X0)) * nat ) > nat ) ).

tff(func_def_2927,type,
    sK2399: 
      !>[X0: $tType] : ( ( fun(nat,set(X0)) * nat ) > nat ) ).

tff(func_def_2928,type,
    sK2400: 
      !>[X0: $tType] : ( ( fun(nat,set(X0)) * nat ) > nat ) ).

tff(func_def_2929,type,
    sK2401: ( nat * vEBT_VEBT ) > list(vEBT_VEBT) ).

tff(func_def_2930,type,
    sK2402: ( nat * vEBT_VEBT ) > nat ).

tff(func_def_2931,type,
    sK2403: ( nat * vEBT_VEBT ) > nat ).

tff(func_def_2932,type,
    sK2404: ( nat * vEBT_VEBT ) > nat ).

tff(func_def_2933,type,
    sK2407: ( nat * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_2934,type,
    sK2413: 
      !>[X0: $tType] : ( ( set(X0) * fun(X0,X0) ) > X0 ) ).

tff(func_def_2935,type,
    sK2414: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * set(X1) ) > X1 ) ).

tff(func_def_2936,type,
    sK2415: ( fun(nat,$o) * nat ) > nat ).

tff(func_def_2937,type,
    sK2416: ( fun(nat,$o) * nat ) > nat ).

tff(func_def_2938,type,
    sK2417: ( nat * list(nat) ) > list(nat) ).

tff(func_def_2939,type,
    sK2418: ( nat * list(nat) ) > nat ).

tff(func_def_2940,type,
    sK2419: 
      !>[X0: $tType] : ( ( X0 * set(X0) ) > X0 ) ).

tff(func_def_2941,type,
    sK2420: 
      !>[X0: $tType] : ( ( X0 * set(X0) ) > X0 ) ).

tff(func_def_2942,type,
    sK2421: 
      !>[X0: $tType] : ( ( fun(nat,X0) * fun(nat,X0) * nat ) > nat ) ).

tff(func_def_2943,type,
    sK2422: ( nat * real ) > real ).

tff(func_def_2944,type,
    sK2423: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * set(X1) ) > X1 ) ).

tff(func_def_2945,type,
    sK2424: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * set(X1) ) > X1 ) ).

tff(func_def_2946,type,
    sK2425: real > real ).

tff(func_def_2947,type,
    sK2430: ( vEBT_VEBT * nat * nat ) > nat ).

tff(func_def_2948,type,
    sK2431: ( vEBT_VEBT * nat * nat ) > nat ).

tff(func_def_2949,type,
    sK2432: ( vEBT_VEBT * nat * nat ) > nat ).

tff(func_def_2950,type,
    sK2433: ( vEBT_VEBT * nat * nat ) > vEBT_VEBT ).

tff(func_def_2951,type,
    sK2434: ( vEBT_VEBT * nat * nat ) > list(vEBT_VEBT) ).

tff(func_def_2952,type,
    sK2435: ( vEBT_VEBT * nat * nat ) > nat ).

tff(func_def_2953,type,
    sK2436: ( vEBT_VEBT * nat * nat ) > list(vEBT_VEBT) ).

tff(func_def_2954,type,
    sK2437: ( vEBT_VEBT * nat * nat ) > vEBT_VEBT ).

tff(func_def_2955,type,
    sK2438: ( vEBT_VEBT * nat * nat ) > list(vEBT_VEBT) ).

tff(func_def_2956,type,
    sK2439: ( vEBT_VEBT * nat * nat ) > vEBT_VEBT ).

tff(func_def_2957,type,
    sK2440: ( vEBT_VEBT * nat * nat ) > product_prod(nat,nat) ).

tff(func_def_2958,type,
    sK2443: ( vEBT_VEBT * nat * nat ) > vEBT_VEBT ).

tff(func_def_2959,type,
    sK2444: ( vEBT_VEBT * nat * nat ) > product_prod(nat,nat) ).

tff(func_def_2960,type,
    sK2445: ( vEBT_VEBT * nat * nat ) > list(vEBT_VEBT) ).

tff(func_def_2961,type,
    sK2453: ( nat * nat * $o * $o ) > nat ).

tff(func_def_2962,type,
    sK2638: ( vEBT_VEBT * nat ) > list(vEBT_VEBT) ).

tff(func_def_2963,type,
    sK2639: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_2964,type,
    sK2640: ( vEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_2965,type,
    sK2641: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_2966,type,
    sK2642: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_2967,type,
    sK2643: ( vEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_2968,type,
    sK2644: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_2969,type,
    sK2645: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_2970,type,
    sK2646: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_2971,type,
    sK2647: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_2972,type,
    sK2648: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_2973,type,
    sK2649: ( vEBT_VEBT * nat ) > list(vEBT_VEBT) ).

tff(func_def_2974,type,
    sK2650: ( vEBT_VEBT * nat ) > list(vEBT_VEBT) ).

tff(func_def_2975,type,
    sK2651: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_2976,type,
    sK2652: ( vEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_2977,type,
    sK2653: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_2978,type,
    sK2654: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_2979,type,
    sK2655: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_2980,type,
    sK2656: ( vEBT_VEBT * nat ) > list(vEBT_VEBT) ).

tff(func_def_2981,type,
    sK2657: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_2982,type,
    sK2658: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_2983,type,
    sK2659: ( vEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_2984,type,
    sK2660: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_2985,type,
    sK2661: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_2986,type,
    sK2668: ( list(vEBT_VEBT) * nat ) > nat ).

tff(func_def_2987,type,
    sK2669: ( list(vEBT_VEBT) * nat ) > nat ).

tff(func_def_2988,type,
    sK2670: 
      !>[X0: $tType,X1: $tType] : ( fun(fun(X1,option(X0)),$o) > X1 ) ).

tff(func_def_2989,type,
    sK2671: 
      !>[X0: $tType,X1: $tType] : ( fun(fun(X1,option(X0)),$o) > X0 ) ).

tff(func_def_2990,type,
    sK2672: 
      !>[X0: $tType,X1: $tType] : ( fun(fun(X1,option(X0)),$o) > fun(X1,option(X0)) ) ).

tff(func_def_2991,type,
    sK2673: set(nat) > nat ).

tff(func_def_2992,type,
    sK2674: ( set(nat) * nat ) > nat ).

tff(func_def_2993,type,
    sK2675: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,$o)) * list(X0) ) > nat ) ).

tff(func_def_2994,type,
    sK2676: ( list(nat) * nat ) > nat ).

tff(func_def_2995,type,
    sK2677: 
      !>[X0: $tType] : ( ( X0 * set(X0) * set(X0) ) > X0 ) ).

tff(func_def_2996,type,
    sK2678: 
      !>[X0: $tType] : ( ( X0 * set(X0) * set(X0) ) > X0 ) ).

tff(func_def_2997,type,
    sK2680: 
      !>[X0: $tType] : ( ( X0 * X0 ) > nat ) ).

tff(func_def_2998,type,
    sK2681: 
      !>[X0: $tType] : ( ( X0 * X0 * X0 ) > X0 ) ).

tff(func_def_2999,type,
    sK2682: 
      !>[X0: $tType] : ( ( X0 * fun(X0,$o) ) > X0 ) ).

tff(func_def_3000,type,
    sK2683: 
      !>[X0: $tType] : ( ( X0 * fun(X0,$o) * X0 ) > X0 ) ).

tff(func_def_3001,type,
    sK2684: 
      !>[X0: $tType] : ( ( fun(X0,$o) * X0 ) > X0 ) ).

tff(func_def_3002,type,
    sK2685: 
      !>[X0: $tType] : ( ( fun(X0,$o) * X0 * X0 ) > X0 ) ).

tff(func_def_3003,type,
    sK2686: 
      !>[X0: $tType] : ( ( X0 * set(X0) ) > fun(X0,real) ) ).

tff(func_def_3004,type,
    sK2687: 
      !>[X0: $tType] : ( ( set(X0) * fun(X0,real) ) > X0 ) ).

tff(func_def_3005,type,
    sK2688: 
      !>[X0: $tType] : ( list(X0) > nat ) ).

tff(func_def_3006,type,
    sK2689: 
      !>[X0: $tType] : ( list(X0) > nat ) ).

tff(func_def_3007,type,
    sK2690: int > nat ).

tff(func_def_3008,type,
    sK2691: 
      !>[X0: $tType] : ( ( fun(X0,$o) * fun(X0,X0) ) > X0 ) ).

tff(func_def_3009,type,
    sK2692: 
      !>[X0: $tType] : ( fun(X0,$o) > set(X0) ) ).

tff(func_def_3010,type,
    sK2693: ( real * real ) > nat ).

tff(func_def_3011,type,
    sK2694: 
      !>[X0: $tType] : ( ( X0 * set(X0) ) > X0 ) ).

tff(func_def_3012,type,
    sK2695: ( nat * vEBT_VEBT * nat ) > nat ).

tff(func_def_3013,type,
    sK2696: ( $o * vEBT_VEBT * nat ) > nat ).

tff(func_def_3014,type,
    sK2697: ( $o * vEBT_VEBT * nat ) > list(vEBT_VEBT) ).

tff(func_def_3015,type,
    sK2698: ( $o * vEBT_VEBT * nat ) > nat ).

tff(func_def_3016,type,
    sK2699: ( $o * vEBT_VEBT * nat ) > nat ).

tff(func_def_3017,type,
    sK2705: vEBT_VEBT > product_prod(nat,nat) ).

tff(func_def_3018,type,
    sK2706: vEBT_VEBT > list(vEBT_VEBT) ).

tff(func_def_3019,type,
    sK2707: vEBT_VEBT > vEBT_VEBT ).

tff(func_def_3020,type,
    sK2708: vEBT_VEBT > list(vEBT_VEBT) ).

tff(func_def_3021,type,
    sK2709: vEBT_VEBT > vEBT_VEBT ).

tff(func_def_3022,type,
    sK2710: vEBT_VEBT > product_prod(nat,nat) ).

tff(func_def_3023,type,
    sK2712: vEBT_VEBT > nat ).

tff(func_def_3024,type,
    sK2713: vEBT_VEBT > list(vEBT_VEBT) ).

tff(func_def_3025,type,
    sK2714: vEBT_VEBT > vEBT_VEBT ).

tff(func_def_3026,type,
    sK2715: ( vEBT_VEBT * nat * list(vEBT_VEBT) * nat * nat ) > vEBT_VEBT ).

tff(func_def_3027,type,
    sK2716: ( real * real * real ) > real ).

tff(func_def_3028,type,
    sK2717: 
      !>[X0: $tType] : ( ( nat * real * fun(nat,X0) ) > real ) ).

tff(func_def_3029,type,
    sK2718: 
      !>[X0: $tType] : ( ( fun(nat,X0) * set(nat) * fun(nat,X0) ) > nat ) ).

tff(func_def_3030,type,
    sK2719: 
      !>[X0: $tType] : ( ( X0 * X0 ) > X0 ) ).

tff(func_def_3031,type,
    sK2720: ( fun(int,$o) * int ) > int ).

tff(func_def_3032,type,
    sK2721: 
      !>[X0: $tType] : ( ( X0 * fun(X0,$o) * X0 ) > fun(nat,X0) ) ).

tff(func_def_3033,type,
    sK2722: fun(nat,nat) > nat ).

tff(func_def_3034,type,
    sK2723: fun(nat,nat) > nat ).

tff(func_def_3035,type,
    sK2724: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * X1 * fun(X1,X0) ) > X1 ) ).

tff(func_def_3036,type,
    sK2725: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,X1) ) > X0 ) ).

tff(func_def_3037,type,
    sK2726: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,X0) * set(X1) * fun(X0,X1) ) > X1 ) ).

tff(func_def_3038,type,
    sK2727: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * set(X0) * fun(X1,X0) * fun(X0,X1) ) > X0 ) ).

tff(func_def_3039,type,
    sK2728: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( fun(X0,X2) * fun(X1,X2) * fun(X1,X0) * set(X1) ) > X1 ) ).

tff(func_def_3040,type,
    sK2729: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * set(X0) ) > X0 ) ).

tff(func_def_3041,type,
    sK2730: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * set(X1) * set(X0) * set(X1) * fun(X0,X1) ) > X0 ) ).

tff(func_def_3042,type,
    sK2731: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * set(X1) * set(X0) * fun(X1,X0) * set(X1) ) > X1 ) ).

tff(func_def_3043,type,
    sK2735: 
      !>[X0: $tType] : ( X0 > X0 ) ).

tff(func_def_3044,type,
    sK2736: 
      !>[X0: $tType] : ( ( X0 * set(X0) ) > X0 ) ).

tff(func_def_3045,type,
    sK2737: 
      !>[X0: $tType,X1: $tType] : ( fun(X1,X0) > X1 ) ).

tff(func_def_3046,type,
    sK2738: 
      !>[X0: $tType,X1: $tType] : ( fun(X1,X0) > X1 ) ).

tff(func_def_3047,type,
    sK2739: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * real * X0 * X1 ) > real ) ).

tff(func_def_3048,type,
    sK2740: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_3049,type,
    sK2741: int > nat ).

tff(func_def_3050,type,
    sK2742: int > nat ).

tff(func_def_3051,type,
    sK2743: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_3052,type,
    sK2744: complex > real ).

tff(func_def_3053,type,
    sK2745: 
      !>[X0: $tType,X1: $tType] : ( fun(X1,X0) > X1 ) ).

tff(func_def_3054,type,
    sK2746: 
      !>[X0: $tType,X1: $tType] : ( fun(X1,X0) > X1 ) ).

tff(func_def_3055,type,
    sK2747: ( vEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_3056,type,
    sK2748: ( vEBT_VEBT * nat ) > list(vEBT_VEBT) ).

tff(func_def_3057,type,
    sK2749: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_3058,type,
    sK2750: ( vEBT_VEBT * nat ) > option(product_prod(nat,nat)) ).

tff(func_def_3059,type,
    sK2758: fun(nat,fun(nat,$o)) > nat ).

tff(func_def_3060,type,
    sK2759: fun(nat,fun(nat,$o)) > nat ).

tff(func_def_3061,type,
    sK2760: fun(nat,fun(nat,$o)) > nat ).

tff(func_def_3062,type,
    sK2761: ( fun(int,$o) * int * int ) > int ).

tff(func_def_3063,type,
    sK2762: ( fun(int,$o) * int * int ) > int ).

tff(func_def_3064,type,
    sK2763: ( fun(int,$o) * int * int ) > int ).

tff(func_def_3065,type,
    sK2764: ( fun(int,$o) * int * int ) > int ).

tff(func_def_3066,type,
    sK2766: 
      !>[X0: $tType] : ( list(X0) > nat ) ).

tff(func_def_3067,type,
    sK2767: 
      !>[X0: $tType] : ( list(X0) > nat ) ).

tff(func_def_3068,type,
    sK2768: 
      !>[X0: $tType] : ( fun(X0,fun(X0,X0)) > X0 ) ).

tff(func_def_3069,type,
    sK2769: 
      !>[X0: $tType] : ( fun(X0,fun(X0,X0)) > X0 ) ).

tff(func_def_3070,type,
    sK2770: 
      !>[X0: $tType,X1: $tType] : ( ( X0 * fun(X0,$o) * fun(X0,X1) ) > X0 ) ).

tff(func_def_3071,type,
    sK2771: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,$o) * fun(X0,$o) * fun(X0,X1) ) > X0 ) ).

tff(func_def_3072,type,
    sK2772: 
      !>[X0: $tType] : ( fun(nat,X0) > nat ) ).

tff(func_def_3073,type,
    sK2773: 
      !>[X0: $tType] : ( ( fun(nat,X0) * nat ) > nat ) ).

tff(func_def_3074,type,
    sK2774: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_3075,type,
    sK2775: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_3076,type,
    sK2776: 
      !>[X0: $tType] : ( fun(nat,X0) > nat ) ).

tff(func_def_3077,type,
    sK2777: fun(real,$o) > fun(nat,rat) ).

tff(func_def_3078,type,
    sK2778: ( nat * real ) > real ).

tff(func_def_3079,type,
    sK2779: 
      !>[X0: $tType] : ( ( fun(X0,$o) * fun(X0,$o) ) > X0 ) ).

tff(func_def_3080,type,
    sK2780: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * X0 * list(X0) ) > X0 ) ).

tff(func_def_3081,type,
    sK2781: 
      !>[X0: $tType] : ( ( X0 * nat * set(product_prod(X0,X0)) * X0 ) > fun(nat,X0) ) ).

tff(func_def_3082,type,
    sK2782: 
      !>[X0: $tType] : ( ( nat * set(product_prod(X0,X0)) * fun(nat,X0) ) > nat ) ).

tff(func_def_3083,type,
    sK2783: ( nat * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_3084,type,
    sK2784: ( nat * vEBT_VEBT ) > list(vEBT_VEBT) ).

tff(func_def_3085,type,
    sK2785: ( nat * vEBT_VEBT ) > nat ).

tff(func_def_3086,type,
    sK2786: ( nat * vEBT_VEBT ) > nat ).

tff(func_def_3087,type,
    sK2787: ( nat * vEBT_VEBT ) > nat ).

tff(func_def_3088,type,
    sK2796: 
      !>[X0: $tType] : ( X0 > nat ) ).

tff(func_def_3089,type,
    sK2797: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * X0 * set(X1) ) > X1 ) ).

tff(func_def_3090,type,
    sK2798: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * X0 * set(X1) ) > X0 ) ).

tff(func_def_3091,type,
    sK2799: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,X1) ) > X0 ) ).

tff(func_def_3092,type,
    sK2800: 
      !>[X0: $tType] : ( ( fun(nat,X0) * nat * fun(nat,X0) ) > X0 ) ).

tff(func_def_3093,type,
    sK2801: 
      !>[X0: $tType] : ( ( fun(nat,X0) * nat * fun(nat,X0) ) > nat ) ).

tff(func_def_3094,type,
    sK2802: ( real * fun(nat,real) ) > fun(nat,int) ).

tff(func_def_3095,type,
    sK2803: ( real * fun(real,real) * fun(nat,real) * nat ) > real ).

tff(func_def_3096,type,
    sK2804: ( fun(real,fun(nat,real)) * real * fun(real,fun(nat,real)) ) > nat ).

tff(func_def_3097,type,
    sK2805: ( fun(nat,real) * real * fun(real,fun(nat,real)) * real ) > nat ).

tff(func_def_3098,type,
    sK2806: ( fun(nat,real) * real * fun(real,fun(nat,real)) * real ) > real ).

tff(func_def_3099,type,
    sK2807: ( fun(nat,real) * real * fun(real,fun(nat,real)) * real ) > real ).

tff(func_def_3100,type,
    sK2808: ( real * fun(real,fun(nat,real)) * real ) > real ).

tff(func_def_3101,type,
    sK2809: 
      !>[X0: $tType,X1: $tType] : ( ( filter(X0) * fun(X0,X1) ) > X1 ) ).

tff(func_def_3102,type,
    sK2810: fun(nat,fun(nat,$o)) > nat ).

tff(func_def_3103,type,
    sK2811: fun(nat,fun(nat,$o)) > nat ).

tff(func_def_3104,type,
    sK2812: fun(nat,fun(nat,$o)) > nat ).

tff(func_def_3105,type,
    sK2813: fun(nat,fun(nat,$o)) > nat ).

tff(func_def_3106,type,
    sK2814: 
      !>[X0: $tType] : ( ( set(X0) * set(X0) ) > X0 ) ).

tff(func_def_3107,type,
    sK2815: 
      !>[X0: $tType] : ( ( set(X0) * set(X0) ) > X0 ) ).

tff(func_def_3108,type,
    sK2816: ( set(nat) * nat ) > nat ).

tff(func_def_3109,type,
    sK2817: ( fun(nat,fun(real,real)) * nat * real * real ) > nat ).

tff(func_def_3110,type,
    sK2818: ( fun(nat,fun(real,real)) * nat * real * real ) > real ).

tff(func_def_3111,type,
    sK2819: ( fun(nat,fun(real,real)) * real * nat * fun(real,real) * real ) > real ).

tff(func_def_3112,type,
    sK2820: 
      !>[X0: $tType] : ( ( X0 * X0 * fun(X0,$o) ) > fun(nat,X0) ) ).

tff(func_def_3113,type,
    sK2821: ( real * fun(real,real) ) > real ).

tff(func_def_3114,type,
    sK2822: vEBT_VEBT > nat ).

tff(func_def_3115,type,
    sK2823: vEBT_VEBT > vEBT_VEBT ).

tff(func_def_3116,type,
    sK2824: vEBT_VEBT > list(vEBT_VEBT) ).

tff(func_def_3117,type,
    sK2825: ( vEBT_VEBT * nat ) > list(vEBT_VEBT) ).

tff(func_def_3118,type,
    sK2826: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_3119,type,
    sK2827: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_3120,type,
    sK2828: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_3121,type,
    sK2831: vEBT_VEBT > product_prod(nat,nat) ).

tff(func_def_3122,type,
    sK2832: vEBT_VEBT > list(vEBT_VEBT) ).

tff(func_def_3123,type,
    sK2833: vEBT_VEBT > vEBT_VEBT ).

tff(func_def_3124,type,
    sK2834: vEBT_VEBT > product_prod(nat,nat) ).

tff(func_def_3125,type,
    sK2835: vEBT_VEBT > vEBT_VEBT ).

tff(func_def_3126,type,
    sK2836: vEBT_VEBT > list(vEBT_VEBT) ).

tff(func_def_3127,type,
    sK2837: ( vEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_3128,type,
    sK2843: 
      !>[X0: $tType] : ( ( X0 * fun(int,$o) ) > int ) ).

tff(func_def_3129,type,
    sK2844: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * X0 * set(X1) ) > X1 ) ).

tff(func_def_3130,type,
    sK2845: 
      !>[X0: $tType] : ( product_prod(fun(X0,fun(X0,$o)),product_prod(option(X0),option(X0))) > X0 ) ).

tff(func_def_3131,type,
    sK2846: 
      !>[X0: $tType] : ( product_prod(fun(X0,fun(X0,$o)),product_prod(option(X0),option(X0))) > fun(X0,fun(X0,$o)) ) ).

tff(func_def_3132,type,
    sK2847: 
      !>[X0: $tType] : ( product_prod(fun(X0,fun(X0,$o)),product_prod(option(X0),option(X0))) > fun(X0,fun(X0,$o)) ) ).

tff(func_def_3133,type,
    sK2848: 
      !>[X0: $tType] : ( product_prod(fun(X0,fun(X0,$o)),product_prod(option(X0),option(X0))) > X0 ) ).

tff(func_def_3134,type,
    sK2849: 
      !>[X0: $tType] : ( product_prod(fun(X0,fun(X0,$o)),product_prod(option(X0),option(X0))) > X0 ) ).

tff(func_def_3135,type,
    sK2850: 
      !>[X0: $tType] : ( product_prod(fun(X0,fun(X0,$o)),product_prod(option(X0),option(X0))) > option(X0) ) ).

tff(func_def_3136,type,
    sK2851: 
      !>[X0: $tType] : ( product_prod(fun(X0,fun(X0,$o)),product_prod(option(X0),option(X0))) > fun(X0,fun(X0,$o)) ) ).

tff(func_def_3137,type,
    sK2852: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( fun(X0,fun(X2,X1)) > X2 ) ).

tff(func_def_3138,type,
    sK2853: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( fun(X0,fun(X2,X1)) > X0 ) ).

tff(func_def_3139,type,
    sK2854: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( fun(X0,fun(X2,X1)) > X0 ) ).

tff(func_def_3140,type,
    sK2855: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( fun(X0,fun(X2,X1)) > X0 ) ).

tff(func_def_3141,type,
    sK2856: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( fun(X0,fun(X2,X1)) > X2 ) ).

tff(func_def_3142,type,
    sK2857: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( fun(X0,fun(X2,X1)) > real ) ).

tff(func_def_3143,type,
    sK2858: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( fun(X0,fun(X2,X1)) > real ) ).

tff(func_def_3144,type,
    sK2859: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( fun(X0,fun(X2,X1)) > X2 ) ).

tff(func_def_3145,type,
    sK2860: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( fun(X0,fun(X2,X1)) > X0 ) ).

tff(func_def_3146,type,
    sK2861: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( fun(X0,fun(X2,X1)) > real ) ).

tff(func_def_3147,type,
    sK2862: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( fun(X0,fun(X2,X1)) > X0 ) ).

tff(func_def_3148,type,
    sK2863: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( fun(X0,fun(X2,X1)) > X2 ) ).

tff(func_def_3149,type,
    sK2864: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( fun(X0,fun(X2,X1)) > X2 ) ).

tff(func_def_3150,type,
    sK2865: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( fun(X0,fun(X2,X1)) * real ) > X0 ) ).

tff(func_def_3151,type,
    sK2866: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( fun(X0,fun(X2,X1)) * real ) > X2 ) ).

tff(func_def_3152,type,
    sK2867: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_3153,type,
    sK2868: ( nat * nat ) > nat ).

tff(func_def_3154,type,
    sK2869: ( nat * nat ) > nat ).

tff(func_def_3155,type,
    sK2870: 
      !>[X0: $tType] : ( ( list(X0) * X0 ) > nat ) ).

tff(func_def_3156,type,
    sK2871: 
      !>[X0: $tType] : ( fun(nat,X0) > real ) ).

tff(func_def_3157,type,
    sK2872: 
      !>[X0: $tType] : ( ( fun(nat,X0) * nat ) > nat ) ).

tff(func_def_3158,type,
    sK2873: 
      !>[X0: $tType] : ( ( fun(nat,X0) * nat ) > nat ) ).

tff(func_def_3159,type,
    sK2874: 
      !>[X0: $tType] : ( fun(X0,$o) > nat ) ).

tff(func_def_3160,type,
    sK2875: 
      !>[X0: $tType] : ( ( fun(X0,real) * set(X0) ) > X0 ) ).

tff(func_def_3161,type,
    sK2876: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_3162,type,
    sK2881: fun(nat,real) > real ).

tff(func_def_3163,type,
    sK2882: ( real * fun(nat,real) ) > nat ).

tff(func_def_3164,type,
    sK2883: ( nat * fun(nat,$o) * nat ) > nat ).

tff(func_def_3165,type,
    sK2884: ( nat * fun(nat,$o) * nat ) > nat ).

tff(func_def_3166,type,
    sK2885: 
      !>[X0: $tType] : ( ( fun(X0,X0) * X0 ) > set(X0) ) ).

tff(func_def_3167,type,
    sK2886: 
      !>[X0: $tType] : ( ( fun(X0,X0) * X0 ) > X0 ) ).

tff(func_def_3168,type,
    sK2887: set(a) > set(a) ).

tff(func_def_3169,type,
    sK2888: filter(nat) > nat ).

tff(func_def_3170,type,
    sK2889: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_3171,type,
    sK2890: vEBT_VEBT > nat ).

tff(func_def_3172,type,
    sK2891: 
      !>[X0: $tType,X1: $tType] : ( ( filter(X0) * fun(X0,X1) ) > X1 ) ).

tff(func_def_3173,type,
    sK2892: 
      !>[X0: $tType,X1: $tType] : ( ( real * real * fun(X0,X1) ) > X0 ) ).

tff(func_def_3174,type,
    sK2893: 
      !>[X0: $tType] : ( ( fun(nat,nat) * fun(nat,X0) ) > nat ) ).

tff(func_def_3175,type,
    sK2894: 
      !>[X0: $tType] : ( fun(nat,X0) > nat ) ).

tff(func_def_3176,type,
    sK2895: product_prod(vEBT_VEBT,nat) > nat ).

tff(func_def_3177,type,
    sK2898: product_prod(vEBT_VEBT,nat) > nat ).

tff(func_def_3178,type,
    sK2899: product_prod(vEBT_VEBT,nat) > nat ).

tff(func_def_3179,type,
    sK2900: product_prod(vEBT_VEBT,nat) > nat ).

tff(func_def_3180,type,
    sK2901: product_prod(vEBT_VEBT,nat) > list(vEBT_VEBT) ).

tff(func_def_3181,type,
    sK2902: product_prod(vEBT_VEBT,nat) > vEBT_VEBT ).

tff(func_def_3182,type,
    sK2905: product_prod(vEBT_VEBT,nat) > list(vEBT_VEBT) ).

tff(func_def_3183,type,
    sK2906: product_prod(vEBT_VEBT,nat) > nat ).

tff(func_def_3184,type,
    sK2907: product_prod(vEBT_VEBT,nat) > vEBT_VEBT ).

tff(func_def_3185,type,
    sK2908: product_prod(vEBT_VEBT,nat) > nat ).

tff(func_def_3186,type,
    sK2909: product_prod(vEBT_VEBT,nat) > nat ).

tff(func_def_3187,type,
    sK2910: product_prod(vEBT_VEBT,nat) > nat ).

tff(func_def_3188,type,
    sK2911: product_prod(vEBT_VEBT,nat) > nat ).

tff(func_def_3189,type,
    sK2912: product_prod(vEBT_VEBT,nat) > list(vEBT_VEBT) ).

tff(func_def_3190,type,
    sK2913: product_prod(vEBT_VEBT,nat) > vEBT_VEBT ).

tff(func_def_3191,type,
    sK2914: product_prod(vEBT_VEBT,nat) > nat ).

tff(func_def_3192,type,
    sK2915: product_prod(vEBT_VEBT,nat) > nat ).

tff(func_def_3193,type,
    sK2916: product_prod(vEBT_VEBT,nat) > vEBT_VEBT ).

tff(func_def_3194,type,
    sK2917: product_prod(vEBT_VEBT,nat) > nat ).

tff(func_def_3195,type,
    sK2918: product_prod(vEBT_VEBT,nat) > list(vEBT_VEBT) ).

tff(func_def_3196,type,
    sK2919: product_prod(vEBT_VEBT,nat) > nat ).

tff(func_def_3197,type,
    sK2975: int > nat ).

tff(func_def_3198,type,
    sK2976: int > nat ).

tff(func_def_3199,type,
    sK2979: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * set(X0) ) > X0 ) ).

tff(func_def_3200,type,
    sK2980: 
      !>[X0: $tType] : ( X0 > X0 ) ).

tff(func_def_3201,type,
    sK2981: 
      !>[X0: $tType] : ( ( fun(X0,X0) * fun(X0,fun(X0,X0)) ) > X0 ) ).

tff(func_def_3202,type,
    sK2982: 
      !>[X0: $tType] : ( ( fun(X0,X0) * fun(X0,fun(X0,X0)) ) > X0 ) ).

tff(func_def_3203,type,
    sK2983: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * list(X0) * list(X0) ) > nat ) ).

tff(func_def_3204,type,
    sK2984: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_3205,type,
    sK2985: 
      !>[X0: $tType,X1: $tType] : ( ( X1 * fun(X1,X0) * fun(X1,X0) * set(X1) ) > fun(X1,X0) ) ).

tff(func_def_3206,type,
    sK2986: 
      !>[X0: $tType,X1: $tType] : ( ( X1 * fun(X1,X0) * fun(X1,X0) * set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_3207,type,
    sK2987: 
      !>[X0: $tType] : ( ( list(X0) * nat * fun(nat,X0) ) > nat ) ).

tff(func_def_3208,type,
    sK2988: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_3209,type,
    sK2989: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_3210,type,
    sK2990: 
      !>[X0: $tType] : ( nat > nat ) ).

tff(func_def_3211,type,
    sK2991: 
      !>[X0: $tType] : ( list(X0) > X0 ) ).

tff(func_def_3212,type,
    sK2992: 
      !>[X0: $tType] : ( ( fun(X0,$o) * X0 ) > X0 ) ).

tff(func_def_3213,type,
    sK2993: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * fun(X1,$o) ) > X1 ) ).

tff(func_def_3214,type,
    sK2994: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * fun(X1,$o) ) > X1 ) ).

tff(func_def_3215,type,
    sK2995: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * fun(X1,X0) * fun(X0,$o) ) > X0 ) ).

tff(func_def_3216,type,
    sK2996: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * fun(X1,$o) * fun(X0,$o) ) > X0 ) ).

tff(func_def_3217,type,
    sK2998: 
      !>[X0: $tType] : ( ( X0 * set(X0) ) > X0 ) ).

tff(func_def_3218,type,
    sK2999: 
      !>[X0: $tType,X1: $tType] : ( fun(X0,X1) > real ) ).

tff(func_def_3219,type,
    sK3000: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,set(X0)) * set(X1) ) > X1 ) ).

tff(func_def_3220,type,
    sK3001: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,X0) * X0 ) > X1 ) ).

tff(func_def_3221,type,
    sK3002: 
      !>[X0: $tType] : ( fun(nat,X0) > nat ) ).

tff(func_def_3222,type,
    sK3003: 
      !>[X0: $tType] : ( fun(nat,X0) > nat ) ).

tff(func_def_3223,type,
    sK3004: 
      !>[X0: $tType] : ( fun(nat,X0) > nat ) ).

tff(func_def_3224,type,
    sK3005: 
      !>[X0: $tType] : ( fun(nat,X0) > nat ) ).

tff(func_def_3225,type,
    sK3006: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,$o) * X1 * fun(X1,X0) ) > X1 ) ).

tff(func_def_3226,type,
    sK3007: ( vEBT_VEBT * nat ) > list(vEBT_VEBT) ).

tff(func_def_3227,type,
    sK3008: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_3228,type,
    sK3009: ( vEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_3229,type,
    sK3012: ( vEBT_VEBT * nat ) > list(vEBT_VEBT) ).

tff(func_def_3230,type,
    sK3013: ( vEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_3231,type,
    sK3014: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_3232,type,
    sK3015: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_3233,type,
    sK3016: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_3234,type,
    sK3022: set(nat) > fun(nat,nat) ).

tff(func_def_3235,type,
    sK3023: 
      !>[X0: $tType] : ( ( nat * fun(nat,X0) * fun(nat,real) ) > nat ) ).

tff(func_def_3236,type,
    sK3024: 
      !>[X0: $tType] : ( ( X0 * set(X0) ) > X0 ) ).

tff(func_def_3237,type,
    sK3025: ( real * fun(nat,real) ) > nat ).

tff(func_def_3238,type,
    sK3026: 
      !>[X0: $tType] : ( ( set(X0) * nat ) > set(X0) ) ).

tff(func_def_3239,type,
    sK3027: 
      !>[X0: $tType] : ( ( set(X0) * nat ) > X0 ) ).

tff(func_def_3240,type,
    sK3028: 
      !>[X0: $tType] : ( X0 > X0 ) ).

tff(func_def_3241,type,
    sK3029: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * set(X1) ) > X1 ) ).

tff(func_def_3242,type,
    sK3030: 
      !>[X0: $tType] : ( ( X0 * X0 * set(X0) ) > X0 ) ).

tff(func_def_3243,type,
    sK3031: fun(extended_enat,$o) > option(nat) ).

tff(func_def_3244,type,
    sK3032: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * filter(X1) ) > real ) ).

tff(func_def_3245,type,
    sK3033: 
      !>[X0: $tType] : ( ( X0 * X0 * fun(X0,$o) ) > X0 ) ).

tff(func_def_3246,type,
    sK3034: 
      !>[X0: $tType] : ( ( X0 * fun(X0,$o) * X0 ) > X0 ) ).

tff(func_def_3247,type,
    sK3035: 
      !>[X0: $tType] : ( ( X0 * set(X0) ) > X0 ) ).

tff(func_def_3248,type,
    sK3036: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * set(X0) ) > X0 ) ).

tff(func_def_3249,type,
    sK3039: product_prod(vEBT_VEBT,nat) > nat ).

tff(func_def_3250,type,
    sK3040: product_prod(vEBT_VEBT,nat) > nat ).

tff(func_def_3251,type,
    sK3041: product_prod(vEBT_VEBT,nat) > nat ).

tff(func_def_3252,type,
    sK3042: product_prod(vEBT_VEBT,nat) > list(vEBT_VEBT) ).

tff(func_def_3253,type,
    sK3043: product_prod(vEBT_VEBT,nat) > vEBT_VEBT ).

tff(func_def_3254,type,
    sK3044: product_prod(vEBT_VEBT,nat) > list(vEBT_VEBT) ).

tff(func_def_3255,type,
    sK3045: product_prod(vEBT_VEBT,nat) > product_prod(nat,nat) ).

tff(func_def_3256,type,
    sK3046: product_prod(vEBT_VEBT,nat) > vEBT_VEBT ).

tff(func_def_3257,type,
    sK3047: product_prod(vEBT_VEBT,nat) > nat ).

tff(func_def_3258,type,
    sK3050: product_prod(vEBT_VEBT,nat) > list(vEBT_VEBT) ).

tff(func_def_3259,type,
    sK3051: product_prod(vEBT_VEBT,nat) > product_prod(nat,nat) ).

tff(func_def_3260,type,
    sK3052: product_prod(vEBT_VEBT,nat) > nat ).

tff(func_def_3261,type,
    sK3053: product_prod(vEBT_VEBT,nat) > vEBT_VEBT ).

tff(func_def_3262,type,
    sK3054: product_prod(vEBT_VEBT,nat) > nat ).

tff(func_def_3263,type,
    sK3055: product_prod(vEBT_VEBT,nat) > vEBT_VEBT ).

tff(func_def_3264,type,
    sK3056: product_prod(vEBT_VEBT,nat) > nat ).

tff(func_def_3265,type,
    sK3057: product_prod(vEBT_VEBT,nat) > nat ).

tff(func_def_3266,type,
    sK3058: product_prod(vEBT_VEBT,nat) > list(vEBT_VEBT) ).

tff(func_def_3267,type,
    sK3059: product_prod(vEBT_VEBT,nat) > nat ).

tff(func_def_3268,type,
    sK3115: ( nat * vEBT_VEBT ) > nat ).

tff(func_def_3269,type,
    sK3116: ( nat * vEBT_VEBT ) > list(vEBT_VEBT) ).

tff(func_def_3270,type,
    sK3117: ( nat * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_3271,type,
    sK3118: ( nat * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_3272,type,
    sK3119: ( nat * vEBT_VEBT ) > nat ).

tff(func_def_3273,type,
    sK3120: ( nat * vEBT_VEBT ) > nat ).

tff(func_def_3274,type,
    sK3121: ( nat * vEBT_VEBT ) > nat ).

tff(func_def_3275,type,
    sK3122: ( nat * vEBT_VEBT ) > list(vEBT_VEBT) ).

tff(func_def_3276,type,
    sK3123: ( nat * vEBT_VEBT ) > list(vEBT_VEBT) ).

tff(func_def_3277,type,
    sK3124: ( nat * vEBT_VEBT ) > nat ).

tff(func_def_3278,type,
    sK3125: ( nat * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_3279,type,
    sK3126: ( nat * vEBT_VEBT ) > nat ).

tff(func_def_3280,type,
    sK3128: 
      !>[X0: $tType] : X0 ).

tff(func_def_3281,type,
    sK3129: 
      !>[X0: $tType] : ( ( X0 * set(X0) * X0 ) > X0 ) ).

tff(func_def_3282,type,
    sK3130: nat > nat ).

tff(func_def_3283,type,
    sK3131: nat > nat ).

tff(func_def_3284,type,
    sK3132: 
      !>[X0: $tType] : ( list(X0) > nat ) ).

tff(func_def_3285,type,
    sK3133: 
      !>[X0: $tType] : ( list(X0) > nat ) ).

tff(func_def_3286,type,
    sK3134: 
      !>[X0: $tType] : ( fun(nat,X0) > X0 ) ).

tff(func_def_3287,type,
    sK3135: 
      !>[X0: $tType] : ( ( fun(X0,$o) * fun(X0,fun(X0,$o)) * X0 ) > X0 ) ).

tff(func_def_3288,type,
    sK3136: 
      !>[X0: $tType] : ( ( list(X0) * set(nat) ) > nat ) ).

tff(func_def_3289,type,
    sK3137: 
      !>[X0: $tType] : ( ( X0 * fun(int,$o) ) > int ) ).

tff(func_def_3290,type,
    sK3138: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,$o) * fun(X0,X1) ) > X0 ) ).

tff(func_def_3291,type,
    sK3139: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,$o)) * option(X0) ) > X0 ) ).

tff(func_def_3292,type,
    sK3140: 
      !>[X0: $tType] : ( ( option(X0) * option(X0) * option(X0) * fun(X0,fun(X0,X0)) ) > X0 ) ).

tff(func_def_3293,type,
    sK3141: 
      !>[X0: $tType] : ( option(X0) > X0 ) ).

tff(func_def_3294,type,
    sK3142: 
      !>[X0: $tType] : ( ( option(X0) * option(X0) * option(X0) * fun(X0,fun(X0,X0)) ) > X0 ) ).

tff(func_def_3295,type,
    sK3143: 
      !>[X0: $tType] : ( ( X0 * set(X0) * fun(X0,$o) ) > real ) ).

tff(func_def_3296,type,
    sK3144: 
      !>[X0: $tType] : ( ( X0 * set(X0) * fun(X0,$o) * real ) > X0 ) ).

tff(func_def_3297,type,
    sK3145: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * set(X1) ) > X1 ) ).

tff(func_def_3298,type,
    sK3150: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * X0 * X1 ) > real ) ).

tff(func_def_3299,type,
    sK3151: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * X0 * X1 * real ) > real ) ).

tff(func_def_3300,type,
    sK3152: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * X0 * X1 * real ) > X0 ) ).

tff(func_def_3301,type,
    sK3153: fun(nat,$o) > nat ).

tff(func_def_3302,type,
    sK3156: 
      !>[X0: $tType] : ( fun(X0,$o) > X0 ) ).

tff(func_def_3303,type,
    sK3158: 
      !>[X0: $tType] : ( fun(X0,$o) > X0 ) ).

tff(func_def_3304,type,
    sK3159: 
      !>[X0: $tType] : ( ( X0 * fun(X0,$o) ) > X0 ) ).

tff(func_def_3305,type,
    sK3160: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * X0 * fun(X0,$o) ) > X0 ) ).

tff(func_def_3306,type,
    sK3161: ( set(int) * int * int ) > int ).

tff(func_def_3307,type,
    sK3162: ( set(int) * int * int ) > int ).

tff(func_def_3308,type,
    sK3163: 
      !>[X0: $tType] : ( fun(nat,X0) > real ) ).

tff(func_def_3309,type,
    sK3164: 
      !>[X0: $tType] : ( ( fun(nat,X0) * real ) > nat ) ).

tff(func_def_3310,type,
    sK3165: 
      !>[X0: $tType] : ( ( fun(nat,X0) * nat ) > nat ) ).

tff(func_def_3311,type,
    sK3166: 
      !>[X0: $tType] : ( ( fun(nat,X0) * nat ) > nat ) ).

tff(func_def_3312,type,
    sK3167: ( real * set(real) ) > real ).

tff(func_def_3313,type,
    sK3168: 
      !>[X0: $tType,X1: $tType] : ( ( X0 * fun(X0,$o) * fun(X0,X1) ) > X0 ) ).

tff(func_def_3314,type,
    sK3169: ( vEBT_VEBT * nat * nat ) > nat ).

tff(func_def_3315,type,
    sK3170: ( vEBT_VEBT * nat * nat ) > list(vEBT_VEBT) ).

tff(func_def_3316,type,
    sK3171: ( vEBT_VEBT * nat * nat ) > nat ).

tff(func_def_3317,type,
    sK3172: ( vEBT_VEBT * nat * nat ) > nat ).

tff(func_def_3318,type,
    sK3173: ( vEBT_VEBT * nat * nat ) > vEBT_VEBT ).

tff(func_def_3319,type,
    sK3178: vEBT_VEBT > product_prod(nat,nat) ).

tff(func_def_3320,type,
    sK3179: vEBT_VEBT > list(vEBT_VEBT) ).

tff(func_def_3321,type,
    sK3180: vEBT_VEBT > vEBT_VEBT ).

tff(func_def_3322,type,
    sK3183: vEBT_VEBT > vEBT_VEBT ).

tff(func_def_3323,type,
    sK3184: vEBT_VEBT > nat ).

tff(func_def_3324,type,
    sK3185: vEBT_VEBT > list(vEBT_VEBT) ).

tff(func_def_3325,type,
    sK3190: vEBT_VEBT > list(vEBT_VEBT) ).

tff(func_def_3326,type,
    sK3191: vEBT_VEBT > vEBT_VEBT ).

tff(func_def_3327,type,
    sK3192: vEBT_VEBT > product_prod(nat,nat) ).

tff(func_def_3328,type,
    sK3195: nat > nat ).

tff(func_def_3329,type,
    sK3196: 
      !>[X0: $tType] : ( ( X0 * fun(X0,$o) ) > X0 ) ).

tff(func_def_3330,type,
    sK3197: ( real * fun(real,real) * fun(real,real) * fun(real,real) * real * fun(real,real) ) > real ).

tff(func_def_3331,type,
    sK3198: ( real * fun(real,real) * real ) > real ).

tff(func_def_3332,type,
    sK3199: ( real * fun(real,real) * real * fun(real,real) ) > real ).

tff(func_def_3333,type,
    sK3200: ( real * fun(real,real) * real ) > real ).

tff(func_def_3334,type,
    sK3201: ( real * fun(real,real) * fun(real,real) * real ) > real ).

tff(func_def_3335,type,
    sK3205: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * set(X1) ) > X1 ) ).

tff(func_def_3336,type,
    sK3206: ( option(num) * num * num ) > num ).

tff(func_def_3337,type,
    sK3207: ( option(num) * num * num ) > num ).

tff(func_def_3338,type,
    sK3208: ( option(num) * num * num ) > num ).

tff(func_def_3339,type,
    sK3209: ( option(num) * num * num ) > num ).

tff(func_def_3340,type,
    sK3210: ( option(num) * num * num ) > num ).

tff(func_def_3341,type,
    sK3217: num > num ).

tff(func_def_3342,type,
    sK3219: ( option(num) * num * num ) > num ).

tff(func_def_3343,type,
    sK3220: num > num ).

tff(func_def_3344,type,
    sK3221: ( option(num) * num * num ) > num ).

tff(func_def_3345,type,
    sK3222: ( option(num) * num * num ) > num ).

tff(func_def_3346,type,
    sK3223: ( option(num) * num * num ) > num ).

tff(func_def_3347,type,
    sK3224: ( option(num) * num * num ) > num ).

tff(func_def_3348,type,
    sK3225: real > int ).

tff(func_def_3349,type,
    sK3226: real > nat ).

tff(func_def_3350,type,
    sK3227: ( real * fun(nat,rat) ) > nat ).

tff(func_def_3351,type,
    sK3228: 
      !>[X0: $tType] : ( X0 > X0 ) ).

tff(func_def_3352,type,
    sK3229: 
      !>[X0: $tType] : ( ( X0 * X0 ) > X0 ) ).

tff(func_def_3353,type,
    sK3230: ( nat * set(nat) ) > nat ).

tff(func_def_3354,type,
    sK3231: ( nat * vEBT_VEBT ) > list(vEBT_VEBT) ).

tff(func_def_3355,type,
    sK3232: ( nat * vEBT_VEBT ) > nat ).

tff(func_def_3356,type,
    sK3233: ( nat * vEBT_VEBT ) > option(product_prod(nat,nat)) ).

tff(func_def_3357,type,
    sK3236: ( nat * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_3358,type,
    sK3240: ( nat * vEBT_VEBT * list(vEBT_VEBT) ) > nat ).

tff(func_def_3359,type,
    sK3241: ( nat * list(vEBT_VEBT) ) > vEBT_VEBT ).

tff(func_def_3360,type,
    sK3242: ( nat * nat * nat * nat * list(vEBT_VEBT) ) > nat ).

tff(func_def_3361,type,
    sK3243: list(vEBT_VEBT) > vEBT_VEBT ).

tff(func_def_3362,type,
    sK3248: ( list(vEBT_VEBT) * nat ) > nat ).

tff(func_def_3363,type,
    sK3249: vEBT_VEBT > nat ).

tff(func_def_3364,type,
    sK3250: ( nat * nat * nat * list(vEBT_VEBT) * nat ) > nat ).

tff(func_def_3365,type,
    sK3251: ( fun(int,$o) * int ) > int ).

tff(func_def_3366,type,
    sK3252: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * set(X1) ) > X1 ) ).

tff(func_def_3367,type,
    sK3253: 
      !>[X0: $tType,X1: $tType] : ( ( list(X0) * fun(X1,fun(X0,$o)) * list(X1) ) > nat ) ).

tff(func_def_3368,type,
    sK3254: 
      !>[X0: $tType] : ( ( X0 * set(X0) ) > X0 ) ).

tff(func_def_3369,type,
    sK3255: ( extended_enat * nat ) > nat ).

tff(func_def_3370,type,
    sK3258: ( nat * vEBT_VEBT * nat ) > nat ).

tff(func_def_3371,type,
    sK3259: ( nat * vEBT_VEBT * nat ) > nat ).

tff(func_def_3372,type,
    sK3260: ( nat * vEBT_VEBT * nat ) > list(vEBT_VEBT) ).

tff(func_def_3373,type,
    sK3261: ( nat * vEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_3374,type,
    sK3262: ( nat * vEBT_VEBT * nat ) > nat ).

tff(func_def_3375,type,
    sK3263: ( nat * vEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_3376,type,
    sK3264: ( nat * vEBT_VEBT * nat ) > nat ).

tff(func_def_3377,type,
    sK3265: ( nat * vEBT_VEBT * nat ) > list(vEBT_VEBT) ).

tff(func_def_3378,type,
    sK3266: ( nat * vEBT_VEBT * nat ) > product_prod(nat,nat) ).

tff(func_def_3379,type,
    sK3267: ( nat * vEBT_VEBT * nat ) > list(vEBT_VEBT) ).

tff(func_def_3380,type,
    sK3268: ( nat * vEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_3381,type,
    sK3269: ( nat * vEBT_VEBT * nat ) > product_prod(nat,nat) ).

tff(func_def_3382,type,
    sK3270: ( nat * vEBT_VEBT * nat ) > list(vEBT_VEBT) ).

tff(func_def_3383,type,
    sK3271: ( nat * vEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_3384,type,
    sK3279: ( nat * nat * $o * $o ) > nat ).

tff(func_def_3385,type,
    sK3323: 
      !>[X0: $tType] : ( set(X0) > fun(X0,real) ) ).

tff(func_def_3386,type,
    sK3324: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_3387,type,
    sK3325: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_3388,type,
    sK3326: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_3389,type,
    sK3327: 
      !>[X0: $tType] : ( ( fun(nat,X0) * X0 * nat ) > X0 ) ).

tff(func_def_3390,type,
    sK3328: 
      !>[X0: $tType] : ( ( fun(nat,X0) * nat ) > nat ) ).

tff(func_def_3391,type,
    sK3329: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,X1) ) > X0 ) ).

tff(func_def_3392,type,
    sK3330: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,X1) ) > X0 ) ).

tff(func_def_3393,type,
    sK3331: 
      !>[X0: $tType] : ( X0 > int ) ).

tff(func_def_3394,type,
    sK3332: 
      !>[X0: $tType] : ( fun(nat,X0) > real ) ).

tff(func_def_3395,type,
    sK3333: 
      !>[X0: $tType] : ( ( fun(nat,X0) * real ) > nat ) ).

tff(func_def_3396,type,
    sK3334: 
      !>[X0: $tType] : ( ( fun(nat,X0) * nat ) > nat ) ).

tff(func_def_3397,type,
    sK3335: 
      !>[X0: $tType] : ( ( fun(nat,X0) * nat ) > nat ) ).

tff(func_def_3398,type,
    sK3336: 
      !>[X0: $tType] : ( ( fun(nat,X0) * real ) > X0 ) ).

tff(func_def_3399,type,
    sK3337: ( nat * nat ) > nat ).

tff(func_def_3400,type,
    sK3338: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * fun(X0,X1) ) > X0 ) ).

tff(func_def_3401,type,
    sK3339: 
      !>[X0: $tType] : ( fun(X0,$o) > real ) ).

tff(func_def_3402,type,
    sK3340: 
      !>[X0: $tType] : ( ( fun(X0,$o) * real ) > X0 ) ).

tff(func_def_3403,type,
    sK3341: extended_enat > nat ).

tff(func_def_3404,type,
    sK3342: 
      !>[X0: $tType,X1: $tType] : ( ( X1 * real * fun(X1,X0) * fun(X1,X0) ) > X1 ) ).

tff(func_def_3405,type,
    sK3343: ( real * nat * fun(nat,fun(real,real)) * real ) > nat ).

tff(func_def_3406,type,
    sK3344: ( real * nat * fun(nat,fun(real,real)) * real ) > real ).

tff(func_def_3407,type,
    sK3345: ( real * real * fun(real,real) * nat * fun(nat,fun(real,real)) ) > real ).

tff(func_def_3408,type,
    sK3346: 
      !>[X0: $tType] : ( ( fun(X0,nat) * fun(X0,nat) * list(X0) ) > X0 ) ).

tff(func_def_3409,type,
    sK3347: 
      !>[X0: $tType] : nat ).

tff(func_def_3410,type,
    sK3348: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * X1 * filter(X0) ) > real ) ).

tff(func_def_3411,type,
    sK3349: 
      !>[X0: $tType] : ( fun(nat,X0) > nat ) ).

tff(func_def_3412,type,
    sK3350: 
      !>[X0: $tType] : ( fun(nat,X0) > nat ) ).

tff(func_def_3413,type,
    sK3351: 
      !>[X0: $tType,X1: $tType] : ( X1 > X0 ) ).

tff(func_def_3414,type,
    sK3352: 
      !>[X0: $tType,X1: $tType] : ( fun(X1,X0) > real ) ).

tff(func_def_3415,type,
    sK3353: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * real ) > X1 ) ).

tff(func_def_3416,type,
    sK3354: 
      !>[X0: $tType] : ( fun(nat,X0) > nat ) ).

tff(func_def_3417,type,
    sK3355: 
      !>[X0: $tType] : ( fun(nat,X0) > nat ) ).

tff(func_def_3418,type,
    sK3356: 
      !>[X0: $tType] : ( ( X0 * nat * fun(X0,fun(X0,$o)) * X0 ) > fun(nat,X0) ) ).

tff(func_def_3419,type,
    sK3357: 
      !>[X0: $tType] : ( ( nat * fun(X0,fun(X0,$o)) * fun(nat,X0) ) > nat ) ).

tff(func_def_3420,type,
    sK3358: fun(nat,fun(nat,$o)) > nat ).

tff(func_def_3421,type,
    sK3359: fun(nat,fun(nat,$o)) > nat ).

tff(func_def_3422,type,
    sK3360: fun(nat,fun(nat,$o)) > nat ).

tff(func_def_3423,type,
    sK3361: fun(nat,fun(nat,$o)) > nat ).

tff(func_def_3424,type,
    sK3362: 
      !>[X0: $tType] : ( ( X0 * X0 * fun(X0,$o) ) > X0 ) ).

tff(func_def_3425,type,
    sK3363: 
      !>[X0: $tType] : ( ( X0 * set(X0) ) > X0 ) ).

tff(func_def_3426,type,
    sK3364: 
      !>[X0: $tType] : ( ( fun(nat,X0) * real ) > nat ) ).

tff(func_def_3427,type,
    sK3365: 
      !>[X0: $tType] : ( fun(X0,fun(X0,$o)) > X0 ) ).

tff(func_def_3428,type,
    sK3366: 
      !>[X0: $tType] : ( fun(X0,fun(X0,$o)) > X0 ) ).

tff(func_def_3429,type,
    sK3367: 
      !>[X0: $tType] : ( fun(X0,fun(X0,$o)) > X0 ) ).

tff(func_def_3430,type,
    sK3368: 
      !>[X0: $tType] : ( fun(X0,fun(X0,$o)) > X0 ) ).

tff(func_def_3431,type,
    sK3369: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,X0) * fun(X1,X0) * fun(X0,fun(X0,$o)) ) > X1 ) ).

tff(func_def_3432,type,
    sK3370: 
      !>[X0: $tType] : ( ( X0 * nat ) > X0 ) ).

tff(func_def_3433,type,
    sK3371: 
      !>[X0: $tType] : ( ( X0 * fun(nat,X0) * nat ) > nat ) ).

tff(func_def_3434,type,
    sK3372: 
      !>[X0: $tType] : ( ( fun(nat,X0) * set(X0) ) > nat ) ).

tff(func_def_3435,type,
    sK3373: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,option(X0)) * set(X1) * X0 ) > X1 ) ).

tff(func_def_3436,type,
    sK3374: 
      !>[X0: $tType] : ( ( X0 * set(X0) ) > X0 ) ).

tff(func_def_3437,type,
    sK3375: ( nat * nat ) > nat ).

tff(func_def_3438,type,
    sK3376: 
      !>[X0: $tType] : ( ( set(set(X0)) * set(X0) ) > fun(set(X0),X0) ) ).

tff(func_def_3439,type,
    sK3377: 
      !>[X0: $tType] : ( ( set(set(X0)) * fun(set(X0),X0) ) > set(X0) ) ).

tff(func_def_3440,type,
    sK3378: ( num * num * num ) > num ).

tff(func_def_3441,type,
    sK3379: ( num * num * num ) > num ).

tff(func_def_3442,type,
    sK3387: num > num ).

tff(func_def_3443,type,
    sK3388: ( num * num * num ) > num ).

tff(func_def_3444,type,
    sK3389: ( num * num * num ) > num ).

tff(func_def_3445,type,
    sK3390: ( num * num ) > num ).

tff(func_def_3446,type,
    sK3391: num > num ).

tff(func_def_3447,type,
    sK3392: ( num * num ) > num ).

tff(func_def_3448,type,
    sK3393: ( num * num * num ) > num ).

tff(func_def_3449,type,
    sK3394: ( num * num * num ) > num ).

tff(func_def_3450,type,
    sK3395: ( num * num * num ) > num ).

tff(func_def_3451,type,
    sK3396: ( num * num * num ) > num ).

tff(func_def_3452,type,
    sK3397: fun(nat,real) > nat ).

tff(func_def_3453,type,
    sK3398: fun(nat,real) > nat ).

tff(func_def_3454,type,
    sK3399: real > nat ).

tff(func_def_3455,type,
    sK3400: ( real * real * fun(real,real) ) > real ).

tff(func_def_3456,type,
    sK3401: ( real * real * fun(real,real) ) > real ).

tff(func_def_3457,type,
    sK3402: 
      !>[X0: $tType] : ( ( X0 * X0 ) > X0 ) ).

tff(func_def_3458,type,
    sK3403: 
      !>[X0: $tType,X1: $tType] : ( ( filter(X1) * fun(X1,X0) ) > real ) ).

tff(func_def_3459,type,
    sK3404: 
      !>[X0: $tType] : ( fun(X0,fun(X0,$o)) > X0 ) ).

tff(func_def_3460,type,
    sK3405: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,X1) ) > X0 ) ).

tff(func_def_3461,type,
    sK3406: 
      !>[X0: $tType] : ( fun(X0,$o) > X0 ) ).

tff(func_def_3462,type,
    sK3407: 
      !>[X0: $tType] : ( ( fun(X0,$o) * nat * fun(X0,nat) ) > X0 ) ).

tff(func_def_3463,type,
    sK3408: int > int ).

tff(func_def_3464,type,
    sK3409: int > nat ).

tff(func_def_3465,type,
    sK3410: ( vEBT_VEBT * nat * $o ) > vEBT_VEBT ).

tff(func_def_3466,type,
    sK3411: ( vEBT_VEBT * nat * $o ) > nat ).

tff(func_def_3467,type,
    sK3412: ( vEBT_VEBT * nat * $o ) > option(product_prod(nat,nat)) ).

tff(func_def_3468,type,
    sK3413: ( vEBT_VEBT * nat * $o ) > list(vEBT_VEBT) ).

tff(func_def_3469,type,
    sK3424: ( list(vEBT_VEBT) * nat ) > vEBT_VEBT ).

tff(func_def_3470,type,
    sK3425: list(vEBT_VEBT) > vEBT_VEBT ).

tff(func_def_3471,type,
    sK3426: vEBT_VEBT > nat ).

tff(func_def_3472,type,
    sK3427: list(vEBT_VEBT) > nat ).

tff(func_def_3473,type,
    sK3428: 
      !>[X0: $tType,X1: $tType] : ( ( set(product_prod(X0,X1)) * list(X0) * list(X1) ) > nat ) ).

tff(func_def_3474,type,
    sK3429: 
      !>[X0: $tType] : ( ( list(X0) * X0 ) > X0 ) ).

tff(func_def_3475,type,
    sK3430: 
      !>[X0: $tType,X1: $tType] : ( ( list(X1) * fun(X1,X0) * X1 ) > X1 ) ).

tff(func_def_3476,type,
    sK3431: 
      !>[X0: $tType,X1: $tType] : ( ( list(X1) * fun(X1,X0) * X1 ) > list(X1) ) ).

tff(func_def_3477,type,
    sK3432: 
      !>[X0: $tType,X1: $tType] : ( ( list(X1) * fun(X1,X0) * X1 ) > X1 ) ).

tff(func_def_3478,type,
    sK3433: fun(nat,fun(nat,$o)) > nat ).

tff(func_def_3479,type,
    sK3434: fun(nat,fun(nat,$o)) > nat ).

tff(func_def_3480,type,
    sK3435: fun(nat,fun(nat,$o)) > nat ).

tff(func_def_3481,type,
    sK3436: fun(nat,fun(nat,$o)) > nat ).

tff(func_def_3482,type,
    sK3437: fun(nat,fun(nat,$o)) > nat ).

tff(func_def_3483,type,
    sK3460: 
      !>[X0: $tType] : ( fun(nat,X0) > nat ) ).

tff(func_def_3484,type,
    sK3461: 
      !>[X0: $tType] : ( fun(nat,X0) > nat ) ).

tff(func_def_3485,type,
    sK3462: ( real * real * fun(real,real) ) > real ).

tff(func_def_3486,type,
    sK3465: ( vEBT_VEBT * option(nat) ) > nat ).

tff(func_def_3487,type,
    sK3466: vEBT_VEBT > vEBT_VEBT ).

tff(func_def_3488,type,
    sK3467: vEBT_VEBT > list(vEBT_VEBT) ).

tff(func_def_3489,type,
    sK3468: vEBT_VEBT > nat ).

tff(func_def_3490,type,
    sK3472: ( vEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_3491,type,
    sK3473: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_3492,type,
    sK3474: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_3493,type,
    sK3475: ( vEBT_VEBT * nat ) > list(vEBT_VEBT) ).

tff(func_def_3494,type,
    sK3476: ( fun(real,real) * real ) > real ).

tff(func_def_3495,type,
    sK3477: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * fun(X1,$o) ) > X1 ) ).

tff(func_def_3496,type,
    sK3478: 
      !>[X0: $tType] : ( ( list(X0) * X0 ) > nat ) ).

tff(func_def_3497,type,
    sK3479: fun(extended_enat,$o) > extended_enat ).

tff(func_def_3498,type,
    sK3480: 
      !>[X0: $tType] : ( fun(nat,X0) > nat ) ).

tff(func_def_3499,type,
    sK3481: 
      !>[X0: $tType] : ( fun(nat,X0) > nat ) ).

tff(func_def_3500,type,
    sK3482: 
      !>[X0: $tType] : ( X0 > X0 ) ).

tff(func_def_3501,type,
    sK3483: 
      !>[X0: $tType] : ( ( X0 * set(X0) ) > nat ) ).

tff(func_def_3502,type,
    sK3484: int > nat ).

tff(func_def_3503,type,
    sK3485: int > nat ).

tff(func_def_3504,type,
    sK3488: 
      !>[X0: $tType] : ( ( X0 * set(X0) ) > X0 ) ).

tff(func_def_3505,type,
    sK3489: 
      !>[X0: $tType,X1: $tType] : ( ( X0 * fun(X1,option(X0)) ) > X1 ) ).

tff(func_def_3506,type,
    sK3490: 
      !>[X0: $tType] : ( ( fun(X0,real) * set(X0) ) > X0 ) ).

tff(func_def_3507,type,
    sK3491: 
      !>[X0: $tType] : ( fun(nat,X0) > nat ) ).

tff(func_def_3508,type,
    sK3492: real > int ).

tff(func_def_3509,type,
    sK3493: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * X0 * filter(X1) ) > X0 ) ).

tff(func_def_3510,type,
    sK3494: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * X0 * filter(X1) ) > X0 ) ).

tff(func_def_3511,type,
    sK3495: int > nat ).

tff(func_def_3512,type,
    sK3496: int > nat ).

tff(func_def_3513,type,
    sK3497: ( fun(nat,$o) * fun(nat,$o) ) > nat ).

tff(func_def_3514,type,
    sK3498: 
      !>[X0: $tType,X1: $tType] : ( ( set(product_prod(X0,X0)) * fun(X0,X1) ) > X0 ) ).

tff(func_def_3515,type,
    sK3499: 
      !>[X0: $tType,X1: $tType] : ( ( set(product_prod(X0,X0)) * fun(X0,X1) ) > X0 ) ).

tff(func_def_3516,type,
    sK3500: 
      !>[X0: $tType] : ( ( X0 * X0 ) > X0 ) ).

tff(func_def_3517,type,
    sK3501: 
      !>[X0: $tType] : ( ( set(X0) * X0 * X0 ) > X0 ) ).

tff(func_def_3518,type,
    sK3502: 
      !>[X0: $tType] : ( fun(X0,$o) > X0 ) ).

tff(func_def_3519,type,
    sK3503: 
      !>[X0: $tType] : ( ( fun(X0,$o) * X0 ) > X0 ) ).

tff(func_def_3520,type,
    sK3504: 
      !>[X0: $tType] : ( set(X0) > set(X0) ) ).

tff(func_def_3521,type,
    sK3505: 
      !>[X0: $tType] : ( set(X0) > fun(X0,real) ) ).

tff(func_def_3522,type,
    sK3506: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_3523,type,
    sK3507: ( set(real) * fun(real,real) * real ) > real ).

tff(func_def_3524,type,
    sK3508: ( nat * nat ) > nat ).

tff(func_def_3525,type,
    sK3509: fun(nat,real) > nat ).

tff(func_def_3526,type,
    sK3510: ( nat * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_3527,type,
    sK3511: ( nat * vEBT_VEBT ) > nat ).

tff(func_def_3528,type,
    sK3512: ( nat * vEBT_VEBT ) > list(vEBT_VEBT) ).

tff(func_def_3529,type,
    sK3513: ( nat * vEBT_VEBT ) > nat ).

tff(func_def_3530,type,
    sK3514: ( nat * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_3531,type,
    sK3515: ( nat * vEBT_VEBT ) > list(vEBT_VEBT) ).

tff(func_def_3532,type,
    sK3516: ( nat * vEBT_VEBT ) > nat ).

tff(func_def_3533,type,
    sK3517: ( nat * vEBT_VEBT ) > nat ).

tff(func_def_3534,type,
    sK3518: ( nat * vEBT_VEBT ) > nat ).

tff(func_def_3535,type,
    sK3519: ( nat * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_3536,type,
    sK3520: ( nat * vEBT_VEBT ) > list(vEBT_VEBT) ).

tff(func_def_3537,type,
    sK3521: ( nat * vEBT_VEBT ) > nat ).

tff(func_def_3538,type,
    sK3522: ( nat * vEBT_VEBT ) > nat ).

tff(func_def_3539,type,
    sK3523: ( nat * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_3540,type,
    sK3524: ( nat * vEBT_VEBT ) > nat ).

tff(func_def_3541,type,
    sK3525: ( nat * vEBT_VEBT ) > list(vEBT_VEBT) ).

tff(func_def_3542,type,
    sK3531: ( list(vEBT_VEBT) * nat ) > vEBT_VEBT ).

tff(func_def_3543,type,
    sK3532: list(vEBT_VEBT) > vEBT_VEBT ).

tff(func_def_3544,type,
    sK3533: vEBT_VEBT > nat ).

tff(func_def_3545,type,
    sK3536: ( vEBT_VEBT * nat * list(vEBT_VEBT) ) > nat ).

tff(func_def_3546,type,
    sK3537: ( nat * list(vEBT_VEBT) ) > vEBT_VEBT ).

tff(func_def_3547,type,
    sK3538: list(vEBT_VEBT) > vEBT_VEBT ).

tff(func_def_3548,type,
    sK3539: ( nat * list(vEBT_VEBT) ) > vEBT_VEBT ).

tff(func_def_3549,type,
    sK3540: vEBT_VEBT > nat ).

tff(func_def_3550,type,
    sK3541: ( nat * vEBT_VEBT * list(vEBT_VEBT) ) > nat ).

tff(func_def_3551,type,
    sK3542: ( nat * list(vEBT_VEBT) ) > vEBT_VEBT ).

tff(func_def_3552,type,
    sK3543: list(vEBT_VEBT) > nat ).

tff(func_def_3553,type,
    sK3546: ( nat * nat * nat * list(vEBT_VEBT) ) > nat ).

tff(func_def_3554,type,
    sK3548: ( nat * nat * list(vEBT_VEBT) * nat ) > nat ).

tff(func_def_3555,type,
    sK3549: list(vEBT_VEBT) > vEBT_VEBT ).

tff(func_def_3556,type,
    sK3550: list(vEBT_VEBT) > nat ).

tff(func_def_3557,type,
    sK3552: list(vEBT_VEBT) > vEBT_VEBT ).

tff(func_def_3558,type,
    sK3555: ( list(vEBT_VEBT) * nat ) > nat ).

tff(func_def_3559,type,
    sK3556: list(vEBT_VEBT) > nat ).

tff(func_def_3560,type,
    sK3557: ( list(vEBT_VEBT) * nat ) > nat ).

tff(func_def_3561,type,
    sK3558: list(vEBT_VEBT) > nat ).

tff(func_def_3562,type,
    sK3559: ( nat * nat * list(vEBT_VEBT) * nat ) > nat ).

tff(func_def_3563,type,
    sK3560: ( nat * nat * nat * list(vEBT_VEBT) * nat ) > nat ).

tff(func_def_3564,type,
    sK3561: ( nat * fun(nat,$o) ) > nat ).

tff(func_def_3565,type,
    sK3562: 
      !>[X0: $tType] : ( ( X0 * fun(nat,X0) ) > real ) ).

tff(func_def_3566,type,
    sK3563: 
      !>[X0: $tType] : ( ( X0 * fun(nat,X0) * nat ) > nat ) ).

tff(func_def_3567,type,
    sK3564: 
      !>[X0: $tType] : ( ( fun(nat,X0) * X0 ) > nat ) ).

tff(func_def_3568,type,
    sK3565: 
      !>[X0: $tType,X1: $tType] : ( ( fun(option(X1),$o) * option(X0) * fun(X0,option(X1)) ) > X0 ) ).

tff(func_def_3569,type,
    sK3566: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_3570,type,
    sK3567: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_3571,type,
    sK3568: product_prod(vEBT_VEBT,nat) > list(vEBT_VEBT) ).

tff(func_def_3572,type,
    sK3569: product_prod(vEBT_VEBT,nat) > vEBT_VEBT ).

tff(func_def_3573,type,
    sK3570: product_prod(vEBT_VEBT,nat) > nat ).

tff(func_def_3574,type,
    sK3571: product_prod(vEBT_VEBT,nat) > option(product_prod(nat,nat)) ).

tff(func_def_3575,type,
    sK3572: product_prod(vEBT_VEBT,nat) > vEBT_VEBT ).

tff(func_def_3576,type,
    sK3573: product_prod(vEBT_VEBT,nat) > nat ).

tff(func_def_3577,type,
    sK3574: product_prod(vEBT_VEBT,nat) > nat ).

tff(func_def_3578,type,
    sK3575: product_prod(vEBT_VEBT,nat) > list(vEBT_VEBT) ).

tff(func_def_3579,type,
    sK3576: product_prod(vEBT_VEBT,nat) > nat ).

tff(func_def_3580,type,
    sK3577: product_prod(vEBT_VEBT,nat) > nat ).

tff(func_def_3581,type,
    sK3578: product_prod(vEBT_VEBT,nat) > nat ).

tff(func_def_3582,type,
    sK3581: product_prod(vEBT_VEBT,nat) > vEBT_VEBT ).

tff(func_def_3583,type,
    sK3582: product_prod(vEBT_VEBT,nat) > list(vEBT_VEBT) ).

tff(func_def_3584,type,
    sK3583: product_prod(vEBT_VEBT,nat) > nat ).

tff(func_def_3585,type,
    sK3584: product_prod(vEBT_VEBT,nat) > nat ).

tff(func_def_3586,type,
    sK3585: product_prod(vEBT_VEBT,nat) > list(vEBT_VEBT) ).

tff(func_def_3587,type,
    sK3586: product_prod(vEBT_VEBT,nat) > nat ).

tff(func_def_3588,type,
    sK3587: product_prod(vEBT_VEBT,nat) > option(product_prod(nat,nat)) ).

tff(func_def_3589,type,
    sK3588: product_prod(vEBT_VEBT,nat) > vEBT_VEBT ).

tff(func_def_3590,type,
    sK3589: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * fun(X0,X1) * set(X0) ) > X0 ) ).

tff(func_def_3591,type,
    sK3590: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * set(X0) * set(X0) ) > X0 ) ).

tff(func_def_3592,type,
    sK3591: 
      !>[X0: $tType,X1: $tType] : ( fun(X0,X1) > X0 ) ).

tff(func_def_3593,type,
    sK3592: int > nat ).

tff(func_def_3594,type,
    sK3593: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * X0 * fun(X1,X0) ) > X1 ) ).

tff(func_def_3595,type,
    sK3594: 
      !>[X0: $tType] : ( ( set(nat) * fun(nat,X0) ) > nat ) ).

tff(func_def_3596,type,
    sK3595: ( int * set(int) * int ) > int ).

tff(func_def_3597,type,
    sK3596: ( int * set(int) * int ) > int ).

tff(func_def_3598,type,
    sK3597: 
      !>[X0: $tType] : ( X0 > X0 ) ).

tff(func_def_3599,type,
    sK3598: ( nat * real ) > real ).

tff(func_def_3600,type,
    sK3599: 
      !>[X0: $tType] : ( list(X0) > nat ) ).

tff(func_def_3601,type,
    sK3600: 
      !>[X0: $tType] : ( list(X0) > nat ) ).

tff(func_def_3602,type,
    sK3601: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_3603,type,
    sK3602: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * set(X1) * set(X1) ) > X1 ) ).

tff(func_def_3604,type,
    sK3603: 
      !>[X0: $tType] : ( ( set(nat) * fun(nat,X0) ) > nat ) ).

tff(func_def_3605,type,
    sK3604: nat > nat ).

tff(func_def_3606,type,
    sK3605: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_3607,type,
    sK3606: 
      !>[X0: $tType] : ( ( real * fun(nat,X0) * real ) > nat ) ).

tff(func_def_3608,type,
    sK3607: 
      !>[X0: $tType] : X0 ).

tff(func_def_3609,type,
    sK3608: ( fun(nat,$o) * nat ) > nat ).

tff(func_def_3610,type,
    sK3609: 
      !>[X0: $tType] : ( ( X0 * set(X0) ) > X0 ) ).

tff(func_def_3611,type,
    sK3610: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * set(X1) ) > X1 ) ).

tff(func_def_3612,type,
    sK3611: fun(nat,rat) > rat ).

tff(func_def_3613,type,
    sK3612: ( fun(nat,rat) * nat ) > nat ).

tff(func_def_3614,type,
    sK3613: ( fun(nat,rat) * nat ) > nat ).

tff(func_def_3615,type,
    sK3614: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,set(X0)) * set(X1) ) > X1 ) ).

tff(func_def_3616,type,
    sK3615: 
      !>[X0: $tType] : ( ( fun(nat,X0) * X0 ) > real ) ).

tff(func_def_3617,type,
    sK3616: 
      !>[X0: $tType] : ( ( fun(nat,X0) * X0 * real ) > nat ) ).

tff(func_def_3618,type,
    sK3617: 
      !>[X0: $tType] : ( ( fun(nat,X0) * X0 * nat ) > nat ) ).

tff(func_def_3619,type,
    sK3618: ( real * fun(real,real) * real ) > real ).

tff(func_def_3620,type,
    sK3619: ( num * option(num) * num ) > num ).

tff(func_def_3621,type,
    sK3620: ( num * option(num) * num ) > num ).

tff(func_def_3622,type,
    sK3621: ( num * option(num) * num ) > num ).

tff(func_def_3623,type,
    sK3622: ( num * option(num) * num ) > num ).

tff(func_def_3624,type,
    sK3623: ( num * option(num) * num ) > num ).

tff(func_def_3625,type,
    sK3628: ( num * option(num) ) > num ).

tff(func_def_3626,type,
    sK3630: ( num * option(num) ) > num ).

tff(func_def_3627,type,
    sK3632: ( num * option(num) * num ) > num ).

tff(func_def_3628,type,
    sK3634: ( num * option(num) * num ) > num ).

tff(func_def_3629,type,
    sK3635: ( num * option(num) * num ) > num ).

tff(func_def_3630,type,
    sK3636: ( num * option(num) * num ) > num ).

tff(func_def_3631,type,
    sK3637: ( num * option(num) * num ) > num ).

tff(func_def_3632,type,
    sK3638: 
      !>[X0: $tType] : ( ( fun(X0,$o) * fun(X0,$o) * fun(X0,$o) * fun(X0,$o) ) > X0 ) ).

tff(func_def_3633,type,
    sK3639: 
      !>[X0: $tType] : ( ( fun(X0,$o) * fun(X0,$o) * X0 ) > X0 ) ).

tff(func_def_3634,type,
    sK3640: 
      !>[X0: $tType] : ( ( fun(X0,$o) * fun(X0,$o) * X0 ) > X0 ) ).

tff(func_def_3635,type,
    sK3647: 
      !>[X0: $tType] : ( set(X0) > set(X0) ) ).

tff(func_def_3636,type,
    sK3648: 
      !>[X0: $tType] : ( set(X0) > fun(X0,real) ) ).

tff(func_def_3637,type,
    sK3649: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_3638,type,
    sK3651: fun(real,$o) > real ).

tff(func_def_3639,type,
    sK3652: fun(real,$o) > real ).

tff(func_def_3640,type,
    sK3653: fun(real,$o) > nat ).

tff(func_def_3641,type,
    sK3654: 
      !>[X0: $tType] : ( ( real * real * fun(real,X0) ) > X0 ) ).

tff(func_def_3642,type,
    sK3655: 
      !>[X0: $tType] : ( ( real * real * fun(real,X0) ) > real ) ).

tff(func_def_3643,type,
    sK3656: 
      !>[X0: $tType] : ( ( real * real * fun(real,X0) ) > real ) ).

tff(func_def_3644,type,
    sK3657: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_3645,type,
    sK3658: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_3646,type,
    sK3659: ( real * nat * fun(real,real) * fun(nat,fun(real,real)) ) > real ).

tff(func_def_3647,type,
    sK3660: fun(nat,fun(real,real)) > real ).

tff(func_def_3648,type,
    sK3661: fun(nat,fun(real,real)) > nat ).

tff(func_def_3649,type,
    sK3662: 
      !>[X0: $tType] : ( ( set(X0) * nat ) > X0 ) ).

tff(func_def_3650,type,
    sK3663: 
      !>[X0: $tType] : ( ( set(X0) * nat ) > set(X0) ) ).

tff(func_def_3651,type,
    sK3664: ( num * num * option(num) ) > num ).

tff(func_def_3652,type,
    sK3665: ( num * num * option(num) ) > num ).

tff(func_def_3653,type,
    sK3666: ( num * num * option(num) ) > num ).

tff(func_def_3654,type,
    sK3667: ( num * num * option(num) ) > num ).

tff(func_def_3655,type,
    sK3672: ( num * option(num) ) > num ).

tff(func_def_3656,type,
    sK3675: ( num * option(num) ) > num ).

tff(func_def_3657,type,
    sK3676: ( num * num * option(num) ) > num ).

tff(func_def_3658,type,
    sK3677: ( num * num * option(num) ) > num ).

tff(func_def_3659,type,
    sK3679: ( num * option(num) * num ) > num ).

tff(func_def_3660,type,
    sK3680: ( num * option(num) * num ) > num ).

tff(func_def_3661,type,
    sK3681: ( num * num * option(num) ) > num ).

tff(func_def_3662,type,
    sK3682: ( num * num * option(num) ) > num ).

tff(func_def_3663,type,
    sK3683: 
      !>[X0: $tType] : ( X0 > X0 ) ).

tff(func_def_3664,type,
    sK3684: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * product_prod(X0,X0) ) > nat ) ).

tff(func_def_3665,type,
    sK3685: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_3666,type,
    sK3686: 
      !>[X0: $tType] : ( ( nat * fun(nat,set(X0)) * fun(nat,set(X0)) ) > nat ) ).

tff(func_def_3667,type,
    sK3687: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_3668,type,
    sK3688: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_3669,type,
    sK3689: 
      !>[X0: $tType] : ( ( fun(nat,real) * fun(nat,X0) * nat ) > nat ) ).

tff(func_def_3670,type,
    sK3690: num > num ).

tff(func_def_3671,type,
    sK3691: num > num ).

tff(func_def_3672,type,
    sK3692: 
      !>[X0: $tType] : ( ( fun(X0,X0) * fun(X0,X0) ) > X0 ) ).

tff(func_def_3673,type,
    sK3693: extended_enat > nat ).

tff(func_def_3674,type,
    sK3694: ( option(nat) * vEBT_VEBT ) > nat ).

tff(func_def_3675,type,
    sK3695: ( option(nat) * vEBT_VEBT ) > nat ).

tff(func_def_3676,type,
    sK3698: vEBT_VEBT > vEBT_VEBT ).

tff(func_def_3677,type,
    sK3699: vEBT_VEBT > list(vEBT_VEBT) ).

tff(func_def_3678,type,
    sK3700: vEBT_VEBT > nat ).

tff(func_def_3679,type,
    sK3701: ( option(nat) * vEBT_VEBT ) > nat ).

tff(func_def_3680,type,
    sK3702: ( option(nat) * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_3681,type,
    sK3703: ( option(nat) * vEBT_VEBT ) > list(vEBT_VEBT) ).

tff(func_def_3682,type,
    sK3706: ( set(extended_enat) * nat ) > extended_enat ).

tff(func_def_3683,type,
    sK3707: 
      !>[X0: $tType] : ( ( fun(nat,X0) * nat ) > nat ) ).

tff(func_def_3684,type,
    sK3708: 
      !>[X0: $tType] : ( ( real * X0 * fun(nat,X0) ) > nat ) ).

tff(func_def_3685,type,
    sK3709: 
      !>[X0: $tType] : ( ( list(X0) * X0 ) > X0 ) ).

tff(func_def_3686,type,
    sK3710: ( nat * nat ) > nat ).

tff(func_def_3687,type,
    sK3711: ( rat * fun(nat,rat) ) > nat ).

tff(func_def_3688,type,
    sK3712: ( set(int) * int * int ) > int ).

tff(func_def_3689,type,
    sK3713: ( set(int) * int * int ) > int ).

tff(func_def_3690,type,
    sK3714: ( $o * nat * vEBT_VEBT ) > nat ).

tff(func_def_3691,type,
    sK3715: ( $o * nat * vEBT_VEBT ) > nat ).

tff(func_def_3692,type,
    sK3716: ( $o * nat * vEBT_VEBT ) > list(vEBT_VEBT) ).

tff(func_def_3693,type,
    sK3717: ( $o * nat * vEBT_VEBT ) > nat ).

tff(func_def_3694,type,
    sK3718: ( $o * nat * vEBT_VEBT ) > nat ).

tff(func_def_3695,type,
    sK3719: ( $o * nat * vEBT_VEBT ) > nat ).

tff(func_def_3696,type,
    sK3720: ( $o * nat * vEBT_VEBT ) > list(vEBT_VEBT) ).

tff(func_def_3697,type,
    sK3721: ( $o * nat * vEBT_VEBT ) > nat ).

tff(func_def_3698,type,
    sK3727: vEBT_VEBT > list(vEBT_VEBT) ).

tff(func_def_3699,type,
    sK3728: vEBT_VEBT > vEBT_VEBT ).

tff(func_def_3700,type,
    sK3729: ( $o * nat * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_3701,type,
    sK3733: ( vEBT_VEBT * nat * nat ) > list(vEBT_VEBT) ).

tff(func_def_3702,type,
    sK3734: ( vEBT_VEBT * nat * nat ) > vEBT_VEBT ).

tff(func_def_3703,type,
    sK3735: ( vEBT_VEBT * nat * list(vEBT_VEBT) ) > vEBT_VEBT ).

tff(func_def_3704,type,
    sK3736: 
      !>[X0: $tType] : ( fun(nat,X0) > nat ) ).

tff(func_def_3705,type,
    sK3737: 
      !>[X0: $tType] : ( ( fun(nat,X0) * nat ) > nat ) ).

tff(func_def_3706,type,
    sK3738: 
      !>[X0: $tType] : ( ( fun(nat,X0) * nat ) > nat ) ).

tff(func_def_3707,type,
    sK3739: 
      !>[X0: $tType] : ( ( fun(nat,X0) * nat ) > nat ) ).

tff(func_def_3708,type,
    sK3740: 
      !>[X0: $tType] : ( X0 > X0 ) ).

tff(func_def_3709,type,
    sK3741: ( vEBT_VEBT * nat ) > list(vEBT_VEBT) ).

tff(func_def_3710,type,
    sK3742: ( vEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_3711,type,
    sK3745: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_3712,type,
    sK3746: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_3713,type,
    sK3747: ( vEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_3714,type,
    sK3748: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_3715,type,
    sK3749: ( vEBT_VEBT * nat ) > list(vEBT_VEBT) ).

tff(func_def_3716,type,
    sK3750: ( vEBT_VEBT * nat ) > list(vEBT_VEBT) ).

tff(func_def_3717,type,
    sK3751: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_3718,type,
    sK3752: ( vEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_3719,type,
    sK3753: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_3720,type,
    sK3754: ( vEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_3721,type,
    sK3755: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_3722,type,
    sK3756: ( vEBT_VEBT * nat ) > list(vEBT_VEBT) ).

tff(func_def_3723,type,
    sK3761: 
      !>[X0: $tType,X1: $tType] : ( ( X0 * fun(X0,X1) * fun(X0,X1) * real ) > X0 ) ).

tff(func_def_3724,type,
    sK3762: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,X1) ) > X0 ) ).

tff(func_def_3725,type,
    sK3763: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * set(X1) * real ) > X1 ) ).

tff(func_def_3726,type,
    sK3764: ( real * fun(nat,real) ) > nat ).

tff(func_def_3727,type,
    sK3765: fun(nat,real) > real ).

tff(func_def_3728,type,
    sK3766: 
      !>[X0: $tType] : ( ( fun(nat,X0) * X0 ) > real ) ).

tff(func_def_3729,type,
    sK3767: 
      !>[X0: $tType] : ( ( fun(nat,X0) * X0 * real ) > nat ) ).

tff(func_def_3730,type,
    sK3768: 
      !>[X0: $tType] : ( ( fun(nat,X0) * X0 * nat ) > nat ) ).

tff(func_def_3731,type,
    sK3769: ( fun(int,$o) * int ) > int ).

tff(func_def_3732,type,
    sK3770: ( fun(int,$o) * int ) > int ).

tff(func_def_3733,type,
    sK3771: 
      !>[X0: $tType] : ( fun(X0,fun(X0,X0)) > X0 ) ).

tff(func_def_3734,type,
    sK3772: 
      !>[X0: $tType] : ( fun(X0,fun(X0,X0)) > X0 ) ).

tff(func_def_3735,type,
    sK3773: 
      !>[X0: $tType] : ( fun(X0,fun(X0,X0)) > X0 ) ).

tff(func_def_3736,type,
    sK3774: 
      !>[X0: $tType] : ( fun(X0,fun(X0,X0)) > X0 ) ).

tff(func_def_3737,type,
    sK3775: 
      !>[X0: $tType] : ( ( X0 * fun(nat,X0) ) > real ) ).

tff(func_def_3738,type,
    sK3776: 
      !>[X0: $tType] : ( ( X0 * fun(nat,X0) * nat ) > nat ) ).

tff(func_def_3739,type,
    sK3777: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_3740,type,
    sK3780: ( nat * vEBT_VEBT ) > nat ).

tff(func_def_3741,type,
    sK3781: ( nat * vEBT_VEBT ) > option(product_prod(nat,nat)) ).

tff(func_def_3742,type,
    sK3782: ( nat * vEBT_VEBT ) > list(vEBT_VEBT) ).

tff(func_def_3743,type,
    sK3783: ( nat * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_3744,type,
    sK3789: vEBT_VEBT > nat ).

tff(func_def_3745,type,
    sK3790: list(vEBT_VEBT) > vEBT_VEBT ).

tff(func_def_3746,type,
    sK3791: list(vEBT_VEBT) > nat ).

tff(func_def_3747,type,
    sK3792: 
      !>[X0: $tType] : ( ( fun(X0,real) * X0 ) > X0 ) ).

tff(func_def_3748,type,
    sK3793: 
      !>[X0: $tType] : ( ( fun(X0,real) * fun(X0,real) * X0 ) > X0 ) ).

tff(func_def_3749,type,
    sK3794: real > nat ).

tff(func_def_3750,type,
    sK3795: real > nat ).

tff(func_def_3751,type,
    sK3796: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_3752,type,
    sK3797: ( real * fun(nat,fun(real,real)) * nat ) > nat ).

tff(func_def_3753,type,
    sK3798: ( real * fun(nat,fun(real,real)) * nat ) > real ).

tff(func_def_3754,type,
    sK3799: ( real * fun(nat,fun(real,real)) * nat * fun(real,real) ) > real ).

tff(func_def_3755,type,
    sK3800: 
      !>[X0: $tType] : ( ( X0 * set(X0) * fun(X0,$o) ) > real ) ).

tff(func_def_3756,type,
    sK3801: 
      !>[X0: $tType] : ( ( X0 * set(X0) * fun(X0,$o) * real ) > X0 ) ).

tff(func_def_3757,type,
    sK3802: 
      !>[X0: $tType,X1: $tType] : ( ( X1 * fun(X0,X1) * set(X0) ) > X1 ) ).

tff(func_def_3758,type,
    sK3803: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * set(X0) * X1 ) > X0 ) ).

tff(func_def_3759,type,
    sK3804: ( nat * nat * fun(nat,int) ) > nat ).

tff(func_def_3760,type,
    sK3805: ( nat * nat * fun(nat,int) * int ) > nat ).

tff(func_def_3761,type,
    sK3806: 
      !>[X0: $tType] : ( fun(X0,fun(X0,$o)) > X0 ) ).

tff(func_def_3762,type,
    sK3807: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_3763,type,
    sK3808: fun(nat,real) > nat ).

tff(func_def_3764,type,
    sK3809: fun(nat,real) > nat ).

tff(func_def_3765,type,
    sK3810: real > real ).

tff(func_def_3766,type,
    sK3813: ( nat * nat * vEBT_VEBT ) > nat ).

tff(func_def_3767,type,
    sK3814: ( nat * nat * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_3768,type,
    sK3815: ( nat * nat * vEBT_VEBT ) > nat ).

tff(func_def_3769,type,
    sK3816: ( nat * nat * vEBT_VEBT ) > nat ).

tff(func_def_3770,type,
    sK3817: ( nat * nat * vEBT_VEBT ) > list(vEBT_VEBT) ).

tff(func_def_3771,type,
    sK3818: ( nat * nat * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_3772,type,
    sK3819: ( nat * nat * vEBT_VEBT ) > product_prod(nat,nat) ).

tff(func_def_3773,type,
    sK3820: ( nat * nat * vEBT_VEBT ) > list(vEBT_VEBT) ).

tff(func_def_3774,type,
    sK3821: ( nat * nat * vEBT_VEBT ) > list(vEBT_VEBT) ).

tff(func_def_3775,type,
    sK3822: ( nat * nat * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_3776,type,
    sK3823: ( nat * nat * vEBT_VEBT ) > product_prod(nat,nat) ).

tff(func_def_3777,type,
    sK3824: ( nat * nat * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_3778,type,
    sK3825: ( nat * nat * vEBT_VEBT ) > list(vEBT_VEBT) ).

tff(func_def_3779,type,
    sK3826: ( nat * nat * vEBT_VEBT ) > nat ).

tff(func_def_3780,type,
    sK3835: 
      !>[X0: $tType] : ( ( fun(nat,X0) * X0 * nat ) > fun(nat,X0) ) ).

tff(func_def_3781,type,
    sK3836: 
      !>[X0: $tType] : ( list(X0) > X0 ) ).

tff(func_def_3782,type,
    sK3837: 
      !>[X0: $tType] : ( ( X0 * list(X0) ) > X0 ) ).

tff(func_def_3783,type,
    sK3838: real > real ).

tff(func_def_3784,type,
    sK3839: ( nat * nat ) > nat ).

tff(func_def_3785,type,
    sK3840: ( nat * set(nat) ) > nat ).

tff(func_def_3786,type,
    sK3841: 
      !>[X0: $tType] : ( ( fun(nat,X0) * fun(X0,X0) * real ) > X0 ) ).

tff(func_def_3787,type,
    sK3842: ( nat * vEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_3788,type,
    sK3843: ( nat * vEBT_VEBT * nat ) > nat ).

tff(func_def_3789,type,
    sK3844: ( nat * vEBT_VEBT * nat ) > list(vEBT_VEBT) ).

tff(func_def_3790,type,
    sK3845: ( nat * vEBT_VEBT * nat ) > nat ).

tff(func_def_3791,type,
    sK3846: ( nat * vEBT_VEBT * nat ) > nat ).

tff(func_def_3792,type,
    sK3847: ( nat * vEBT_VEBT * nat ) > list(vEBT_VEBT) ).

tff(func_def_3793,type,
    sK3848: ( nat * vEBT_VEBT * nat ) > nat ).

tff(func_def_3794,type,
    sK3849: ( nat * vEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_3795,type,
    sK3850: ( nat * vEBT_VEBT * nat ) > product_prod(nat,nat) ).

tff(func_def_3796,type,
    sK3851: ( nat * vEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_3797,type,
    sK3852: ( nat * vEBT_VEBT * nat ) > list(vEBT_VEBT) ).

tff(func_def_3798,type,
    sK3853: ( nat * vEBT_VEBT * nat ) > list(vEBT_VEBT) ).

tff(func_def_3799,type,
    sK3854: ( nat * vEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_3800,type,
    sK3855: ( nat * vEBT_VEBT * nat ) > product_prod(nat,nat) ).

tff(func_def_3801,type,
    sK3867: ( nat * nat * $o * $o ) > nat ).

tff(func_def_3802,type,
    sK3937: extended_enat > nat ).

tff(func_def_3803,type,
    sK3938: extended_enat > nat ).

tff(func_def_3804,type,
    sK3939: extended_enat > nat ).

tff(func_def_3805,type,
    sK3940: extended_enat > nat ).

tff(func_def_3806,type,
    sK3941: extended_enat > nat ).

tff(func_def_3807,type,
    sK3942: extended_enat > nat ).

tff(func_def_3808,type,
    sK3943: extended_enat > nat ).

tff(func_def_3809,type,
    sK3944: extended_enat > nat ).

tff(func_def_3810,type,
    sK3945: extended_enat > nat ).

tff(func_def_3811,type,
    sK3946: extended_enat > nat ).

tff(func_def_3812,type,
    sK3947: extended_enat > nat ).

tff(func_def_3813,type,
    sK3948: extended_enat > nat ).

tff(func_def_3814,type,
    sK3949: 
      !>[X0: $tType,X1: $tType] : ( ( X1 * X0 * fun(X0,option(X1)) ) > X0 ) ).

tff(func_def_3815,type,
    sK3950: ( real * real * real ) > real ).

tff(func_def_3816,type,
    sK3951: 
      !>[X0: $tType] : ( fun(set(X0),$o) > set(X0) ) ).

tff(func_def_3817,type,
    sK3952: 
      !>[X0: $tType] : ( fun(set(X0),$o) > X0 ) ).

tff(func_def_3818,type,
    sK3953: ( real * nat ) > real ).

tff(func_def_3819,type,
    sK3954: 
      !>[X0: $tType] : ( fun(X0,$o) > int ) ).

tff(func_def_3820,type,
    sK3955: ( nat * nat ) > nat ).

tff(func_def_3821,type,
    sK3956: ( fun(real,real) * fun(real,real) ) > real ).

tff(func_def_3822,type,
    sK3957: fun(real,real) > real ).

tff(func_def_3823,type,
    sK3958: fun(int,$o) > product_prod(nat,nat) ).

tff(func_def_3824,type,
    sK3959: 
      !>[X0: $tType] : ( fun(X0,extended_enat) > X0 ) ).

tff(func_def_3825,type,
    sK3960: 
      !>[X0: $tType] : ( ( nat * fun(X0,extended_enat) ) > X0 ) ).

tff(func_def_3826,type,
    sK3961: 
      !>[X0: $tType,X1: $tType] : ( ( X1 * fun(X1,X0) * fun(X1,X0) * set(X1) * real ) > X1 ) ).

tff(func_def_3827,type,
    sK3962: extended_enat > option(nat) ).

tff(func_def_3828,type,
    sK3963: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * set(X1) * fun(X1,fun(X0,$o)) ) > X1 ) ).

tff(func_def_3829,type,
    sK3964: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * set(X1) * fun(X1,fun(X0,$o)) ) > X1 ) ).

tff(func_def_3830,type,
    sK3965: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * set(X1) * fun(X1,fun(X0,$o)) ) > X1 ) ).

tff(func_def_3831,type,
    sK3966: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * set(X1) * fun(X1,fun(X0,$o)) ) > X0 ) ).

tff(func_def_3832,type,
    sK3967: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( fun(X1,option(X0)) * fun(X0,option(X2)) * X1 ) > X0 ) ).

tff(func_def_3833,type,
    sK3968: 
      !>[X0: $tType] : ( fun(nat,X0) > nat ) ).

tff(func_def_3834,type,
    sK3969: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_3835,type,
    sK3970: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * set(X0) * fun(X0,X1) ) > X0 ) ).

tff(func_def_3836,type,
    sK3971: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,X1) * set(X0) ) > X0 ) ).

tff(func_def_3837,type,
    sK3972: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) * nat ) > nat ) ).

tff(func_def_3838,type,
    sK3973: set(int) > int ).

tff(func_def_3839,type,
    sK3974: ( set(int) * int ) > int ).

tff(func_def_3840,type,
    sK3975: ( nat * nat * nat ) > nat ).

tff(func_def_3841,type,
    sK3976: ( int * fun(int,$o) ) > int ).

tff(func_def_3842,type,
    sK3977: 
      !>[X0: $tType] : ( fun(X0,fun(X0,X0)) > X0 ) ).

tff(func_def_3843,type,
    sK3978: 
      !>[X0: $tType] : ( fun(X0,fun(X0,X0)) > X0 ) ).

tff(func_def_3844,type,
    sK3979: 
      !>[X0: $tType] : ( fun(X0,fun(X0,X0)) > X0 ) ).

tff(func_def_3845,type,
    sK3980: 
      !>[X0: $tType] : ( fun(X0,fun(X0,X0)) > X0 ) ).

tff(func_def_3846,type,
    sK3981: 
      !>[X0: $tType] : ( fun(X0,fun(X0,X0)) > X0 ) ).

tff(func_def_3847,type,
    sK3982: 
      !>[X0: $tType] : ( fun(X0,fun(X0,X0)) > X0 ) ).

tff(func_def_3848,type,
    sK3983: 
      !>[X0: $tType] : ( fun(X0,fun(X0,X0)) > X0 ) ).

tff(func_def_3849,type,
    sK3984: ( vEBT_VEBT * nat * nat ) > list(vEBT_VEBT) ).

tff(func_def_3850,type,
    sK3985: ( vEBT_VEBT * nat * nat ) > nat ).

tff(func_def_3851,type,
    sK3986: ( vEBT_VEBT * nat * nat ) > nat ).

tff(func_def_3852,type,
    sK3987: ( vEBT_VEBT * nat * nat ) > vEBT_VEBT ).

tff(func_def_3853,type,
    sK3988: ( vEBT_VEBT * nat * nat ) > nat ).

tff(func_def_3854,type,
    sK3991: nat > nat ).

tff(func_def_3855,type,
    sK3994: vEBT_VEBT > product_prod(nat,nat) ).

tff(func_def_3856,type,
    sK3995: vEBT_VEBT > vEBT_VEBT ).

tff(func_def_3857,type,
    sK3996: vEBT_VEBT > list(vEBT_VEBT) ).

tff(func_def_3858,type,
    sK3998: vEBT_VEBT > nat ).

tff(func_def_3859,type,
    sK3999: vEBT_VEBT > vEBT_VEBT ).

tff(func_def_3860,type,
    sK4000: vEBT_VEBT > list(vEBT_VEBT) ).

tff(func_def_3861,type,
    sK4003: vEBT_VEBT > vEBT_VEBT ).

tff(func_def_3862,type,
    sK4004: vEBT_VEBT > product_prod(nat,nat) ).

tff(func_def_3863,type,
    sK4005: vEBT_VEBT > list(vEBT_VEBT) ).

tff(func_def_3864,type,
    sK4008: 
      !>[X0: $tType] : ( X0 > X0 ) ).

tff(func_def_3865,type,
    sK4009: 
      !>[X0: $tType] : ( ( option(X0) * option(X0) * fun(X0,fun(X0,$o)) ) > X0 ) ).

tff(func_def_3866,type,
    sK4010: 
      !>[X0: $tType] : ( ( option(X0) * option(X0) * fun(X0,fun(X0,$o)) ) > X0 ) ).

tff(func_def_3867,type,
    sK4011: 
      !>[X0: $tType] : ( fun(X0,fun(X0,X0)) > X0 ) ).

tff(func_def_3868,type,
    sK4012: 
      !>[X0: $tType] : ( fun(X0,fun(X0,X0)) > X0 ) ).

tff(func_def_3869,type,
    sK4013: 
      !>[X0: $tType] : ( fun(X0,fun(X0,X0)) > X0 ) ).

tff(func_def_3870,type,
    sK4014: 
      !>[X0: $tType] : ( fun(X0,fun(X0,X0)) > X0 ) ).

tff(func_def_3871,type,
    sK4015: 
      !>[X0: $tType] : ( fun(X0,fun(X0,X0)) > X0 ) ).

tff(func_def_3872,type,
    sK4016: 
      !>[X0: $tType] : ( ( real * real * fun(real,X0) ) > real ) ).

tff(func_def_3873,type,
    sK4017: 
      !>[X0: $tType] : ( ( real * real * fun(real,X0) ) > X0 ) ).

tff(func_def_3874,type,
    sK4018: 
      !>[X0: $tType] : ( ( real * real * fun(real,X0) ) > real ) ).

tff(func_def_3875,type,
    sK4019: ( vEBT_VEBT * nat ) > list(vEBT_VEBT) ).

tff(func_def_3876,type,
    sK4020: ( vEBT_VEBT * nat ) > product_prod(nat,nat) ).

tff(func_def_3877,type,
    sK4021: ( vEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_3878,type,
    sK4022: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_3879,type,
    sK4023: ( vEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_3880,type,
    sK4024: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_3881,type,
    sK4025: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_3882,type,
    sK4026: ( vEBT_VEBT * nat ) > list(vEBT_VEBT) ).

tff(func_def_3883,type,
    sK4027: ( vEBT_VEBT * nat ) > list(vEBT_VEBT) ).

tff(func_def_3884,type,
    sK4028: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_3885,type,
    sK4029: ( vEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_3886,type,
    sK4030: ( vEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_3887,type,
    sK4031: ( vEBT_VEBT * nat ) > product_prod(nat,nat) ).

tff(func_def_3888,type,
    sK4032: ( vEBT_VEBT * nat ) > list(vEBT_VEBT) ).

tff(func_def_3889,type,
    sK4037: 
      !>[X0: $tType] : ( fun(nat,X0) > nat ) ).

tff(func_def_3890,type,
    sK4038: ( set(int) * int * int ) > int ).

tff(func_def_3891,type,
    sK4039: ( set(int) * int * int ) > int ).

tff(func_def_3892,type,
    sK4040: 
      !>[X0: $tType] : ( set(set(X0)) > set(X0) ) ).

tff(func_def_3893,type,
    sK4041: ( fun(int,$o) * int ) > int ).

tff(func_def_3894,type,
    sK4042: 
      !>[X0: $tType] : ( fun(list(X0),fun(list(X0),$o)) > X0 ) ).

tff(func_def_3895,type,
    sK4043: 
      !>[X0: $tType] : ( fun(list(X0),fun(list(X0),$o)) > list(X0) ) ).

tff(func_def_3896,type,
    sK4044: 
      !>[X0: $tType] : ( fun(list(X0),fun(list(X0),$o)) > list(X0) ) ).

tff(func_def_3897,type,
    sK4045: 
      !>[X0: $tType] : ( fun(list(X0),fun(list(X0),$o)) > X0 ) ).

tff(func_def_3898,type,
    sK4046: 
      !>[X0: $tType] : ( fun(list(X0),fun(list(X0),$o)) > list(X0) ) ).

tff(func_def_3899,type,
    sK4047: 
      !>[X0: $tType] : ( fun(list(X0),fun(list(X0),$o)) > X0 ) ).

tff(func_def_3900,type,
    sK4048: 
      !>[X0: $tType] : ( fun(list(X0),fun(list(X0),$o)) > X0 ) ).

tff(func_def_3901,type,
    sK4049: 
      !>[X0: $tType] : ( fun(list(X0),fun(list(X0),$o)) > list(X0) ) ).

tff(func_def_3902,type,
    sK4050: 
      !>[X0: $tType] : ( fun(list(X0),fun(list(X0),$o)) > list(X0) ) ).

tff(func_def_3903,type,
    sK4051: 
      !>[X0: $tType] : ( ( X0 * set(X0) ) > X0 ) ).

tff(func_def_3904,type,
    sK4052: 
      !>[X0: $tType] : ( ( X0 * X0 * fun(X0,X0) ) > nat ) ).

tff(func_def_3905,type,
    sK4053: ( fun(nat,int) * int * nat ) > nat ).

tff(func_def_3906,type,
    sK4054: ( fun(nat,int) * nat ) > nat ).

tff(func_def_3907,type,
    sK4055: 
      !>[X0: $tType,X1: $tType] : ( ( X1 * fun(X0,X1) * filter(X0) ) > X1 ) ).

tff(func_def_3908,type,
    sK4056: 
      !>[X0: $tType] : ( ( fun(X0,$o) * list(X0) * X0 ) > nat ) ).

tff(func_def_3909,type,
    sK4057: 
      !>[X0: $tType] : ( ( fun(X0,$o) * list(X0) * nat ) > nat ) ).

tff(func_def_3910,type,
    sK4058: 
      !>[X0: $tType] : ( ( nat * fun(X0,$o) * fun(X0,nat) ) > X0 ) ).

tff(func_def_3911,type,
    sK4059: 
      !>[X0: $tType,X1: $tType] : ( ( X0 * fun(X0,X1) * X1 * X0 ) > fun(nat,X0) ) ).

tff(func_def_3912,type,
    sK4060: ( real * real ) > real ).

tff(func_def_3913,type,
    sK4061: 
      !>[X0: $tType] : ( ( fun(real,X0) * real * real ) > X0 ) ).

tff(func_def_3914,type,
    sK4062: 
      !>[X0: $tType] : ( ( fun(real,X0) * real * real ) > real ) ).

tff(func_def_3915,type,
    sK4063: 
      !>[X0: $tType] : ( ( fun(real,X0) * real * real * X0 ) > real ) ).

tff(func_def_3916,type,
    sK4064: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,X1) * X1 ) > X0 ) ).

tff(func_def_3917,type,
    sK4065: 
      !>[X0: $tType] : ( ( fun(X0,real) * fun(X0,real) * set(X0) ) > X0 ) ).

tff(func_def_3918,type,
    sK4066: 
      !>[X0: $tType] : ( ( fun(X0,$o) * option(X0) ) > X0 ) ).

tff(func_def_3919,type,
    sK4067: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_3920,type,
    sK4068: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_3921,type,
    sK4069: ( fun(int,$o) * int ) > int ).

tff(func_def_3922,type,
    sK4070: int > nat ).

tff(func_def_3923,type,
    sK4071: 
      !>[X0: $tType,X1: $tType] : ( ( option(X1) * option(X0) * fun(option(X0),fun(option(X1),$o)) ) > X1 ) ).

tff(func_def_3924,type,
    sK4072: 
      !>[X0: $tType,X1: $tType] : ( ( option(X1) * option(X0) * fun(option(X0),fun(option(X1),$o)) ) > X0 ) ).

tff(func_def_3925,type,
    sK4073: 
      !>[X0: $tType] : ( ( X0 * set(X0) ) > X0 ) ).

tff(func_def_3926,type,
    sK4074: ( real * fun(real,real) ) > real ).

tff(func_def_3927,type,
    sK4075: ( nat * fun(nat,$o) ) > nat ).

tff(func_def_3928,type,
    sK4076: ( nat * fun(nat,$o) ) > nat ).

tff(func_def_3929,type,
    sK4077: 
      !>[X0: $tType] : ( ( nat * set(X0) ) > X0 ) ).

tff(func_def_3930,type,
    sK4078: 
      !>[X0: $tType] : ( ( nat * set(X0) ) > set(X0) ) ).

tff(func_def_3931,type,
    sK4079: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * set(X1) * X0 ) > X1 ) ).

tff(func_def_3932,type,
    sK4080: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * set(X1) * X0 ) > X1 ) ).

tff(func_def_3933,type,
    sK4081: 
      !>[X0: $tType] : ( fun(X0,$o) > X0 ) ).

tff(func_def_3934,type,
    sK4082: 
      !>[X0: $tType] : ( ( fun(X0,$o) * X0 ) > X0 ) ).

tff(func_def_3935,type,
    sK4083: 
      !>[X0: $tType] : ( fun(nat,X0) > nat ) ).

tff(func_def_3936,type,
    sK4084: 
      !>[X0: $tType] : ( fun(nat,X0) > nat ) ).

tff(func_def_3937,type,
    sK4085: 
      !>[X0: $tType,X1: $tType] : ( fun(X0,X1) > X0 ) ).

tff(func_def_3938,type,
    sK4086: 
      !>[X0: $tType,X1: $tType] : ( fun(X0,X1) > X0 ) ).

tff(func_def_3939,type,
    sK4087: 
      !>[X0: $tType,X1: $tType] : ( ( X0 * X0 * fun(X0,X1) * fun(X0,X1) ) > X0 ) ).

tff(func_def_3940,type,
    sK4088: 
      !>[X0: $tType] : ( ( list(X0) * X0 ) > X0 ) ).

tff(func_def_3941,type,
    sK4089: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,$o) * fun(X1,X1) * fun(X0,X0) * fun(X1,X0) ) > X1 ) ).

tff(func_def_3942,type,
    sK4090: 
      !>[X0: $tType] : ( ( fun(X0,$o) * fun(X0,X0) ) > X0 ) ).

tff(func_def_3943,type,
    sK4091: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X0) * fun(X1,X0) ) > X0 ) ).

tff(func_def_3944,type,
    sK4092: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,$o) * fun(X1,X0) ) > fun(nat,X1) ) ).

tff(func_def_3945,type,
    sK4093: 
      !>[X0: $tType] : ( fun(X0,$o) > fun(nat,X0) ) ).

tff(func_def_3946,type,
    sK4097: ( option(num) * num * num ) > num ).

tff(func_def_3947,type,
    sK4098: ( option(num) * num * num ) > num ).

tff(func_def_3948,type,
    sK4099: ( option(num) * num * num ) > num ).

tff(func_def_3949,type,
    sK4100: ( option(num) * num * num ) > num ).

tff(func_def_3950,type,
    sK4101: ( option(num) * num * num ) > num ).

tff(func_def_3951,type,
    sK4107: ( option(num) * num ) > num ).

tff(func_def_3952,type,
    sK4109: ( option(num) * num ) > num ).

tff(func_def_3953,type,
    sK4110: ( option(num) * num * num ) > num ).

tff(func_def_3954,type,
    sK4112: ( option(num) * num * num ) > num ).

tff(func_def_3955,type,
    sK4113: ( option(num) * num * num ) > num ).

tff(func_def_3956,type,
    sK4114: ( option(num) * num * num ) > num ).

tff(func_def_3957,type,
    sK4115: ( option(num) * num * num ) > num ).

tff(func_def_3958,type,
    sK4116: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) ) > X0 ) ).

tff(func_def_3959,type,
    sK4117: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) ) > X0 ) ).

tff(func_def_3960,type,
    sK4118: ( fun(real,real) * set(real) ) > real ).

tff(func_def_3961,type,
    sK4119: ( int * set(int) * int ) > int ).

tff(func_def_3962,type,
    sK4120: ( int * set(int) * int ) > int ).

tff(func_def_3963,type,
    sK4121: 
      !>[X0: $tType] : ( X0 > nat ) ).

tff(func_def_3964,type,
    sK4122: 
      !>[X0: $tType,X1: $tType] : ( fun(X0,X1) > X0 ) ).

tff(func_def_3965,type,
    sK4123: 
      !>[X0: $tType,X1: $tType] : ( fun(X0,X1) > X0 ) ).

tff(func_def_3966,type,
    sK4124: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) ) > X0 ) ).

tff(func_def_3967,type,
    sK4125: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) ) > X0 ) ).

tff(func_def_3968,type,
    sK4126: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) ) > list(X0) ) ).

tff(func_def_3969,type,
    sK4127: 
      !>[X0: $tType] : ( list(X0) > list(X0) ) ).

tff(func_def_3970,type,
    sK4128: 
      !>[X0: $tType] : ( list(X0) > X0 ) ).

tff(func_def_3971,type,
    sK4129: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) ) > X0 ) ).

tff(func_def_3972,type,
    sK4130: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) ) > list(X0) ) ).

tff(func_def_3973,type,
    sK4131: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) ) > list(X0) ) ).

tff(func_def_3974,type,
    sK4132: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) ) > list(X0) ) ).

tff(func_def_3975,type,
    sK4133: ( num * num * num ) > num ).

tff(func_def_3976,type,
    sK4134: ( num * num * num ) > num ).

tff(func_def_3977,type,
    sK4135: ( num * num * num ) > num ).

tff(func_def_3978,type,
    sK4136: ( num * num * num ) > num ).

tff(func_def_3979,type,
    sK4137: ( num * num * num ) > num ).

tff(func_def_3980,type,
    sK4140: ( num * num ) > num ).

tff(func_def_3981,type,
    sK4142: ( num * num ) > num ).

tff(func_def_3982,type,
    sK4146: ( num * num * num ) > num ).

tff(func_def_3983,type,
    sK4148: ( num * num * num ) > num ).

tff(func_def_3984,type,
    sK4149: ( num * num * num ) > num ).

tff(func_def_3985,type,
    sK4150: ( num * num * num ) > num ).

tff(func_def_3986,type,
    sK4151: ( num * num * num ) > num ).

tff(func_def_3987,type,
    sK4152: 
      !>[X0: $tType] : ( ( X0 * X0 * set(X0) ) > X0 ) ).

tff(func_def_3988,type,
    sK4153: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,option(X1)) * X0 ) > X1 ) ).

tff(func_def_3989,type,
    sK4154: 
      !>[X0: $tType] : ( product_prod(X0,X0) > X0 ) ).

tff(func_def_3990,type,
    sK4155: 
      !>[X0: $tType] : ( product_prod(X0,X0) > X0 ) ).

tff(func_def_3991,type,
    sK4156: 
      !>[X0: $tType] : ( ( fun(X0,X0) * option(X0) ) > X0 ) ).

tff(func_def_3992,type,
    sK4157: 
      !>[X0: $tType] : ( ( fun(X0,real) * set(X0) ) > X0 ) ).

tff(func_def_3993,type,
    sK4158: ( real * nat * fun(nat,fun(real,real)) * fun(real,real) ) > real ).

tff(func_def_3994,type,
    sK4159: fun(nat,fun(real,real)) > nat ).

tff(func_def_3995,type,
    sK4160: fun(nat,fun(real,real)) > real ).

tff(func_def_3996,type,
    sK4161: 
      !>[X0: $tType] : ( X0 > fun(nat,X0) ) ).

tff(func_def_3997,type,
    sK4162: nat > nat ).

tff(func_def_3998,type,
    sK4163: 
      !>[X0: $tType] : ( ( X0 * X0 ) > X0 ) ).

tff(func_def_3999,type,
    sK4164: 
      !>[X0: $tType] : ( ( fun(X0,X0) * set(X0) ) > X0 ) ).

tff(func_def_4000,type,
    sK4165: 
      !>[X0: $tType,X1: $tType] : ( ( X1 * fun(X0,X1) * set(X0) ) > X0 ) ).

tff(func_def_4001,type,
    sK4166: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * filter(X0) ) > X1 ) ).

tff(func_def_4002,type,
    sK4167: ( nat * fun(nat,$o) ) > nat ).

tff(func_def_4003,type,
    sK4168: ( nat * vEBT_VEBT ) > nat ).

tff(func_def_4004,type,
    sK4169: ( nat * vEBT_VEBT ) > list(vEBT_VEBT) ).

tff(func_def_4005,type,
    sK4170: ( nat * vEBT_VEBT ) > nat ).

tff(func_def_4006,type,
    sK4171: ( nat * vEBT_VEBT ) > nat ).

tff(func_def_4007,type,
    sK4172: ( nat * vEBT_VEBT ) > nat ).

tff(func_def_4008,type,
    sK4173: ( nat * vEBT_VEBT ) > list(vEBT_VEBT) ).

tff(func_def_4009,type,
    sK4176: ( nat * vEBT_VEBT ) > nat ).

tff(func_def_4010,type,
    sK4177: ( nat * vEBT_VEBT ) > nat ).

tff(func_def_4011,type,
    sK4178: vEBT_VEBT > vEBT_VEBT ).

tff(func_def_4012,type,
    sK4179: vEBT_VEBT > list(vEBT_VEBT) ).

tff(func_def_4013,type,
    sK4181: ( nat * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_4014,type,
    sK4186: ( vEBT_VEBT * list(vEBT_VEBT) * nat ) > vEBT_VEBT ).

tff(func_def_4015,type,
    sK4187: ( vEBT_VEBT * nat * nat ) > list(vEBT_VEBT) ).

tff(func_def_4016,type,
    sK4188: ( vEBT_VEBT * nat * nat ) > vEBT_VEBT ).

tff(func_def_4017,type,
    sK4190: 
      !>[X0: $tType] : ( ( set(X0) * set(X0) ) > X0 ) ).

tff(func_def_4018,type,
    sK4191: 
      !>[X0: $tType] : ( ( fun(X0,nat) * set(X0) * fun(X0,nat) ) > X0 ) ).

tff(func_def_4019,type,
    sK4192: 
      !>[X0: $tType] : ( ( X0 * X0 ) > X0 ) ).

tff(func_def_4020,type,
    sK4193: 
      !>[X0: $tType] : ( ( fun(X0,$o) * fun(X0,$o) ) > X0 ) ).

tff(func_def_4021,type,
    sK4194: 
      !>[X0: $tType] : ( fun(X0,$o) > X0 ) ).

tff(func_def_4022,type,
    sK4195: ( list(nat) * nat ) > nat ).

tff(func_def_4023,type,
    sK4196: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( fun(X1,fun(X0,X2)) > real ) ).

tff(func_def_4024,type,
    sK4197: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( fun(X1,fun(X0,X2)) > X0 ) ).

tff(func_def_4025,type,
    sK4198: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( fun(X1,fun(X0,X2)) > X1 ) ).

tff(func_def_4026,type,
    sK4199: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( fun(X1,fun(X0,X2)) > X1 ) ).

tff(func_def_4027,type,
    sK4200: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( fun(X1,fun(X0,X2)) > real ) ).

tff(func_def_4028,type,
    sK4201: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( fun(X1,fun(X0,X2)) > X0 ) ).

tff(func_def_4029,type,
    sK4202: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( fun(X1,fun(X0,X2)) > X1 ) ).

tff(func_def_4030,type,
    sK4203: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( fun(X1,fun(X0,X2)) > X1 ) ).

tff(func_def_4031,type,
    sK4204: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( fun(X1,fun(X0,X2)) > X0 ) ).

tff(func_def_4032,type,
    sK4205: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( fun(X1,fun(X0,X2)) > X0 ) ).

tff(func_def_4033,type,
    sK4206: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( fun(X1,fun(X0,X2)) > X0 ) ).

tff(func_def_4034,type,
    sK4207: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( fun(X1,fun(X0,X2)) > X1 ) ).

tff(func_def_4035,type,
    sK4208: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( fun(X1,fun(X0,X2)) * real ) > X0 ) ).

tff(func_def_4036,type,
    sK4209: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( fun(X1,fun(X0,X2)) * real ) > X1 ) ).

tff(func_def_4037,type,
    sK4210: set(nat) > nat ).

tff(func_def_4038,type,
    sK4211: ( set(nat) * nat ) > nat ).

tff(func_def_4039,type,
    sK4212: ( vEBT_VEBT * nat * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_4040,type,
    sK4213: ( vEBT_VEBT * nat * vEBT_VEBT ) > list(vEBT_VEBT) ).

tff(func_def_4041,type,
    sK4214: ( vEBT_VEBT * nat * vEBT_VEBT ) > nat ).

tff(func_def_4042,type,
    sK4217: ( vEBT_VEBT * nat * vEBT_VEBT ) > nat ).

tff(func_def_4043,type,
    sK4218: ( vEBT_VEBT * nat * vEBT_VEBT ) > list(vEBT_VEBT) ).

tff(func_def_4044,type,
    sK4219: ( vEBT_VEBT * nat * vEBT_VEBT ) > nat ).

tff(func_def_4045,type,
    sK4220: ( vEBT_VEBT * nat * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_4046,type,
    sK4223: ( vEBT_VEBT * nat * vEBT_VEBT ) > list(vEBT_VEBT) ).

tff(func_def_4047,type,
    sK4224: ( vEBT_VEBT * nat * vEBT_VEBT ) > nat ).

tff(func_def_4048,type,
    sK4225: ( vEBT_VEBT * nat * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_4049,type,
    sK4226: ( vEBT_VEBT * nat * vEBT_VEBT ) > nat ).

tff(func_def_4050,type,
    sK4227: ( vEBT_VEBT * nat * vEBT_VEBT ) > nat ).

tff(func_def_4051,type,
    sK4230: ( vEBT_VEBT * nat * vEBT_VEBT ) > nat ).

tff(func_def_4052,type,
    sK4231: ( vEBT_VEBT * nat * vEBT_VEBT ) > nat ).

tff(func_def_4053,type,
    sK4232: ( vEBT_VEBT * nat * vEBT_VEBT ) > list(vEBT_VEBT) ).

tff(func_def_4054,type,
    sK4233: ( vEBT_VEBT * nat * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_4055,type,
    sK4240: ( vEBT_VEBT * nat * $o * $o ) > nat ).

tff(func_def_4056,type,
    sK4317: ( real * fun(real,real) * real ) > real ).

tff(func_def_4057,type,
    sK4318: ( real * fun(real,real) * real ) > real ).

tff(func_def_4058,type,
    sK4319: ( real * fun(real,real) * real ) > real ).

tff(func_def_4059,type,
    sK4320: ( real * fun(real,real) * real * real ) > real ).

tff(func_def_4060,type,
    sK4321: ( fun(nat,$o) * nat ) > nat ).

tff(func_def_4061,type,
    sK4322: fun(nat,$o) > nat ).

tff(func_def_4062,type,
    sK4323: 
      !>[X0: $tType] : ( ( set(X0) * set(X0) ) > X0 ) ).

tff(func_def_4063,type,
    sK4324: 
      !>[X0: $tType,X1: $tType] : ( ( X0 * fun(X0,X1) * set(X0) * real * fun(X0,X1) ) > X0 ) ).

tff(func_def_4064,type,
    sK4325: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_4065,type,
    sK4326: ( vEBT_VEBT * nat ) > option(product_prod(nat,nat)) ).

tff(func_def_4066,type,
    sK4327: ( vEBT_VEBT * nat ) > list(vEBT_VEBT) ).

tff(func_def_4067,type,
    sK4328: ( vEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_4068,type,
    sK4331: 
      !>[X0: $tType] : ( ( X0 * set(X0) ) > X0 ) ).

tff(func_def_4069,type,
    sK4334: ( int * int * int ) > int ).

tff(func_def_4070,type,
    sK4335: real > real ).

tff(func_def_4071,type,
    sK4336: 
      !>[X0: $tType] : ( X0 > X0 ) ).

tff(func_def_4072,type,
    sK4337: 
      !>[X0: $tType] : ( X0 > X0 ) ).

tff(func_def_4073,type,
    sK4338: 
      !>[X0: $tType] : ( X0 > X0 ) ).

tff(func_def_4074,type,
    sK4339: 
      !>[X0: $tType] : ( fun(X0,fun(X0,$o)) > X0 ) ).

tff(func_def_4075,type,
    sK4340: 
      !>[X0: $tType] : ( fun(X0,fun(X0,$o)) > X0 ) ).

tff(func_def_4076,type,
    sK4341: 
      !>[X0: $tType] : ( fun(X0,fun(X0,$o)) > X0 ) ).

tff(func_def_4077,type,
    sK4342: 
      !>[X0: $tType] : ( fun(X0,fun(X0,$o)) > X0 ) ).

tff(func_def_4078,type,
    sK4343: 
      !>[X0: $tType] : ( X0 > int ) ).

tff(func_def_4079,type,
    sK4344: ( real * nat ) > real ).

tff(func_def_4080,type,
    sK4345: 
      !>[X0: $tType] : ( ( set(nat) * list(X0) ) > nat ) ).

tff(func_def_4081,type,
    sK4346: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) ) > X0 ) ).

tff(func_def_4082,type,
    sK4347: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) ) > list(X0) ) ).

tff(func_def_4083,type,
    sK4348: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) ) > X0 ) ).

tff(func_def_4084,type,
    sK4349: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) ) > X0 ) ).

tff(func_def_4085,type,
    sK4350: 
      !>[X0: $tType] : ( list(X0) > X0 ) ).

tff(func_def_4086,type,
    sK4351: 
      !>[X0: $tType] : ( list(X0) > list(X0) ) ).

tff(func_def_4087,type,
    sK4352: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) ) > X0 ) ).

tff(func_def_4088,type,
    sK4353: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) ) > list(X0) ) ).

tff(func_def_4089,type,
    sK4354: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) ) > list(X0) ) ).

tff(func_def_4090,type,
    sK4357: 
      !>[X0: $tType] : ( ( list(X0) * X0 ) > list(X0) ) ).

tff(func_def_4091,type,
    sK4358: 
      !>[X0: $tType,X1: $tType] : ( ( X0 * fun(X0,X1) * X1 ) > real ) ).

tff(func_def_4092,type,
    sK4359: 
      !>[X0: $tType,X1: $tType] : ( ( X0 * fun(X0,X1) * X1 * real ) > X0 ) ).

tff(func_def_4093,type,
    sK4360: 
      !>[X0: $tType] : ( ( fun(X0,$o) * X0 ) > X0 ) ).

tff(func_def_4094,type,
    sK4361: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * X1 * fun(X1,$o) ) > X1 ) ).

tff(func_def_4095,type,
    sK4362: 
      !>[X0: $tType] : ( ( X0 * real * fun(nat,X0) ) > nat ) ).

tff(func_def_4096,type,
    sK4363: fun(option(nat),$o) > extended_enat ).

tff(func_def_4097,type,
    sK4368: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * X0 * fun(X0,X1) * real * set(X0) ) > X0 ) ).

tff(func_def_4098,type,
    sK4369: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( fun(X2,X0) * X0 * X2 * X1 * fun(X2,X1) ) > X2 ) ).

tff(func_def_4099,type,
    sK4370: 
      !>[X0: $tType,X1: $tType] : ( ( X0 * X1 * fun(X1,X0) ) > real ) ).

tff(func_def_4100,type,
    sK4371: 
      !>[X0: $tType,X1: $tType] : ( ( X0 * X1 * fun(X1,X0) * real ) > real ) ).

tff(func_def_4101,type,
    sK4372: 
      !>[X0: $tType,X1: $tType] : ( ( X0 * X1 * fun(X1,X0) * real ) > X1 ) ).

tff(func_def_4102,type,
    sK4373: 
      !>[X0: $tType,X1: $tType] : ( ( option(X0) * fun(X1,fun(X0,$o)) * option(X1) ) > X1 ) ).

tff(func_def_4103,type,
    sK4374: 
      !>[X0: $tType,X1: $tType] : ( ( option(X0) * fun(X1,fun(X0,$o)) * option(X1) ) > X0 ) ).

tff(func_def_4104,type,
    sK4375: ( fun(nat,rat) * fun(nat,rat) ) > rat ).

tff(func_def_4105,type,
    sK4376: ( fun(nat,rat) * fun(nat,rat) * rat ) > nat ).

tff(func_def_4106,type,
    sK4377: ( fun(nat,rat) * fun(nat,rat) * nat ) > nat ).

tff(func_def_4107,type,
    sK4378: 
      !>[X0: $tType] : ( set(X0) > set(X0) ) ).

tff(func_def_4108,type,
    sK4379: 
      !>[X0: $tType] : ( set(X0) > fun(X0,real) ) ).

tff(func_def_4109,type,
    sK4380: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_4110,type,
    sK4381: 
      !>[X0: $tType] : ( ( X0 * fun(X0,X0) ) > X0 ) ).

tff(func_def_4111,type,
    sK4382: 
      !>[X0: $tType] : ( ( X0 * fun(X0,X0) ) > set(X0) ) ).

tff(func_def_4112,type,
    sK4383: 
      !>[X0: $tType] : ( ( fun(X0,X0) * set(X0) ) > X0 ) ).

tff(func_def_4113,type,
    sK4386: ( nat * vEBT_VEBT ) > list(vEBT_VEBT) ).

tff(func_def_4114,type,
    sK4387: ( nat * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_4115,type,
    sK4388: ( nat * vEBT_VEBT ) > option(product_prod(nat,nat)) ).

tff(func_def_4116,type,
    sK4389: ( nat * vEBT_VEBT ) > list(vEBT_VEBT) ).

tff(func_def_4117,type,
    sK4390: ( nat * vEBT_VEBT ) > option(product_prod(nat,nat)) ).

tff(func_def_4118,type,
    sK4391: ( nat * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_4119,type,
    sK4392: ( nat * vEBT_VEBT ) > nat ).

tff(func_def_4120,type,
    sK4398: 
      !>[X0: $tType,X1: $tType] : ( ( filter(X0) * fun(X0,X1) ) > real ) ).

tff(func_def_4121,type,
    sK4399: 
      !>[X0: $tType,X1: $tType] : ( ( filter(X0) * fun(X0,X1) * real ) > fun(X0,$o) ) ).

tff(func_def_4122,type,
    sK4400: 
      !>[X0: $tType,X1: $tType] : ( ( filter(X0) * fun(X0,X1) * fun(X0,$o) ) > X0 ) ).

tff(func_def_4123,type,
    sK4401: 
      !>[X0: $tType,X1: $tType] : ( ( filter(X0) * fun(X0,X1) * fun(X0,$o) ) > X0 ) ).

tff(func_def_4124,type,
    sK4402: 
      !>[X0: $tType] : ( ( real * fun(nat,X0) ) > X0 ) ).

tff(func_def_4125,type,
    sK4403: 
      !>[X0: $tType] : ( ( X0 * set(X0) ) > X0 ) ).

tff(func_def_4126,type,
    sK4404: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * set(X1) ) > real ) ).

tff(func_def_4127,type,
    sK4405: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * set(X1) * real ) > real ) ).

tff(func_def_4128,type,
    sK4406: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * set(X1) * real ) > X1 ) ).

tff(func_def_4129,type,
    sK4407: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * set(X1) * real ) > X1 ) ).

tff(func_def_4130,type,
    sK4408: 
      !>[X0: $tType] : ( ( set(X0) * X0 * fun(X0,fun(X0,$o)) ) > X0 ) ).

tff(func_def_4131,type,
    sK4409: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * fun(X0,X1) * option(X0) ) > X0 ) ).

tff(func_def_4132,type,
    sK4410: 
      !>[X0: $tType] : ( ( X0 * set(X0) ) > X0 ) ).

tff(func_def_4133,type,
    sK4411: ( nat * vEBT_VEBT * nat ) > nat ).

tff(func_def_4134,type,
    sK4412: ( nat * vEBT_VEBT * nat ) > list(vEBT_VEBT) ).

tff(func_def_4135,type,
    sK4413: ( nat * vEBT_VEBT * nat ) > nat ).

tff(func_def_4136,type,
    sK4414: ( nat * vEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_4137,type,
    sK4415: ( nat * vEBT_VEBT * nat ) > nat ).

tff(func_def_4138,type,
    sK4419: nat > nat ).

tff(func_def_4139,type,
    sK4422: vEBT_VEBT > product_prod(nat,nat) ).

tff(func_def_4140,type,
    sK4423: vEBT_VEBT > list(vEBT_VEBT) ).

tff(func_def_4141,type,
    sK4424: vEBT_VEBT > vEBT_VEBT ).

tff(func_def_4142,type,
    sK4425: vEBT_VEBT > product_prod(nat,nat) ).

tff(func_def_4143,type,
    sK4426: vEBT_VEBT > vEBT_VEBT ).

tff(func_def_4144,type,
    sK4427: vEBT_VEBT > list(vEBT_VEBT) ).

tff(func_def_4145,type,
    sK4430: vEBT_VEBT > list(vEBT_VEBT) ).

tff(func_def_4146,type,
    sK4431: vEBT_VEBT > nat ).

tff(func_def_4147,type,
    sK4432: vEBT_VEBT > vEBT_VEBT ).

tff(func_def_4148,type,
    sK4435: 
      !>[X0: $tType] : ( ( X0 * set(X0) ) > X0 ) ).

tff(func_def_4149,type,
    sK4436: 
      !>[X0: $tType] : ( ( X0 * set(X0) ) > X0 ) ).

tff(func_def_4150,type,
    sK4437: 
      !>[X0: $tType] : ( ( fun(nat,real) * fun(nat,X0) * nat ) > nat ) ).

tff(func_def_4151,type,
    sK4438: 
      !>[X0: $tType] : ( ( X0 * X0 ) > nat ) ).

tff(func_def_4152,type,
    sK4439: 
      !>[X0: $tType] : ( ( option(X0) * option(X0) * option(X0) * fun(X0,fun(X0,X0)) ) > X0 ) ).

tff(func_def_4153,type,
    sK4440: 
      !>[X0: $tType] : ( ( option(X0) * option(X0) * option(X0) * fun(X0,fun(X0,X0)) ) > X0 ) ).

tff(func_def_4154,type,
    sK4442: 
      !>[X0: $tType] : ( ( option(X0) * option(X0) * fun(X0,fun(X0,X0)) * X0 ) > X0 ) ).

tff(func_def_4155,type,
    sK4443: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * set(X1) ) > X1 ) ).

tff(func_def_4156,type,
    sK4444: 
      !>[X0: $tType,X1: $tType] : ( ( fun(set(X0),$o) * fun(X0,X1) ) > X0 ) ).

tff(func_def_4157,type,
    sK4445: 
      !>[X0: $tType,X1: $tType] : ( ( fun(set(X0),$o) * fun(X0,X1) ) > set(X0) ) ).

tff(func_def_4158,type,
    sK4446: ( real * real ) > real ).

tff(func_def_4159,type,
    sK4447: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X1) * fun(X0,X1) ) > X1 ) ).

tff(func_def_4160,type,
    sK4448: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X0) * fun(X1,X1) * fun(X0,X1) ) > X0 ) ).

tff(func_def_4161,type,
    sK4449: ( fun(real,real) * real * real ) > real ).

tff(func_def_4162,type,
    sK4450: real > real ).

tff(func_def_4163,type,
    sK4451: product_prod(num,num) > num ).

tff(func_def_4164,type,
    sK4452: product_prod(num,num) > num ).

tff(func_def_4165,type,
    sK4453: product_prod(num,num) > num ).

tff(func_def_4166,type,
    sK4454: product_prod(num,num) > num ).

tff(func_def_4167,type,
    sK4455: product_prod(num,num) > num ).

tff(func_def_4168,type,
    sK4456: product_prod(num,num) > num ).

tff(func_def_4169,type,
    sK4457: product_prod(num,num) > num ).

tff(func_def_4170,type,
    sK4458: product_prod(num,num) > num ).

tff(func_def_4171,type,
    sK4459: product_prod(num,num) > num ).

tff(func_def_4172,type,
    sK4460: product_prod(num,num) > num ).

tff(func_def_4173,type,
    sK4461: product_prod(num,num) > num ).

tff(func_def_4174,type,
    sK4462: product_prod(num,num) > num ).

tff(func_def_4175,type,
    sK4463: 
      !>[X0: $tType] : ( X0 > X0 ) ).

tff(func_def_4176,type,
    sK4464: ( nat * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_4177,type,
    sK4465: ( nat * vEBT_VEBT ) > nat ).

tff(func_def_4178,type,
    sK4466: ( nat * vEBT_VEBT ) > list(vEBT_VEBT) ).

tff(func_def_4179,type,
    sK4467: ( nat * vEBT_VEBT ) > option(product_prod(nat,nat)) ).

tff(func_def_4180,type,
    sK4474: 
      !>[X0: $tType] : ( ( nat * fun(nat,fun(X0,$o)) ) > nat ) ).

tff(func_def_4181,type,
    sK4475: 
      !>[X0: $tType] : ( ( nat * fun(nat,fun(X0,$o)) ) > list(X0) ) ).

tff(func_def_4182,type,
    sK4476: 
      !>[X0: $tType] : ( ( fun(nat,fun(X0,$o)) * nat ) > X0 ) ).

tff(func_def_4183,type,
    sK4477: 
      !>[X0: $tType] : ( ( nat * fun(nat,fun(X0,$o)) * list(X0) ) > nat ) ).

tff(func_def_4184,type,
    sK4478: 
      !>[X0: $tType] : ( ( list(X0) * nat ) > list(X0) ) ).

tff(func_def_4185,type,
    sK4479: 
      !>[X0: $tType] : ( ( list(X0) * nat ) > X0 ) ).

tff(func_def_4186,type,
    sK4480: ( fun(real,$o) * nat * real ) > real ).

tff(func_def_4187,type,
    sK4481: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * set(X0) * set(X0) ) > X0 ) ).

tff(func_def_4188,type,
    sK4482: fun(int,$o) > nat ).

tff(func_def_4189,type,
    sK4483: fun(int,$o) > nat ).

tff(func_def_4190,type,
    sK4484: 
      !>[X0: $tType,X1: $tType] : ( fun(X1,X0) > X1 ) ).

tff(func_def_4191,type,
    sK4485: 
      !>[X0: $tType,X1: $tType] : ( fun(X1,X0) > X1 ) ).

tff(func_def_4192,type,
    sK4486: fun(nat,fun(nat,$o)) > nat ).

tff(func_def_4193,type,
    sK4487: fun(nat,fun(nat,$o)) > nat ).

tff(func_def_4194,type,
    sK4488: fun(nat,fun(nat,$o)) > nat ).

tff(func_def_4195,type,
    sK4489: fun(nat,fun(nat,$o)) > nat ).

tff(func_def_4196,type,
    sK4490: fun(nat,fun(nat,$o)) > nat ).

tff(func_def_4197,type,
    sK4491: 
      !>[X0: $tType] : ( ( fun(nat,fun(X0,fun(X0,$o))) * fun(nat,fun(X0,$o)) ) > X0 ) ).

tff(func_def_4198,type,
    sK4492: 
      !>[X0: $tType] : ( ( fun(nat,fun(X0,fun(X0,$o))) * fun(nat,fun(X0,$o)) ) > nat ) ).

tff(func_def_4199,type,
    sK4493: 
      !>[X0: $tType] : ( ( fun(nat,fun(X0,fun(X0,$o))) * fun(nat,fun(X0,$o)) ) > fun(nat,X0) ) ).

tff(func_def_4200,type,
    sK4494: 
      !>[X0: $tType] : ( ( X0 * set(X0) ) > X0 ) ).

tff(func_def_4201,type,
    sK4495: 
      !>[X0: $tType] : ( fun(nat,X0) > nat ) ).

tff(func_def_4202,type,
    sK4496: ( nat * $o * vEBT_VEBT ) > option(product_prod(nat,nat)) ).

tff(func_def_4203,type,
    sK4497: ( nat * $o * vEBT_VEBT ) > list(vEBT_VEBT) ).

tff(func_def_4204,type,
    sK4498: ( nat * $o * vEBT_VEBT ) > nat ).

tff(func_def_4205,type,
    sK4501: vEBT_VEBT > list(vEBT_VEBT) ).

tff(func_def_4206,type,
    sK4502: vEBT_VEBT > option(product_prod(nat,nat)) ).

tff(func_def_4207,type,
    sK4503: vEBT_VEBT > vEBT_VEBT ).

tff(func_def_4208,type,
    sK4504: ( nat * $o * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_4209,type,
    sK4509: extended_enat > nat ).

tff(func_def_4210,type,
    sK4510: 
      !>[X0: $tType] : ( ( fun(X0,nat) * fun(X0,$o) ) > X0 ) ).

tff(func_def_4211,type,
    sK4511: 
      !>[X0: $tType] : ( ( fun(X0,nat) * fun(X0,$o) ) > X0 ) ).

tff(func_def_4212,type,
    sK4514: ( $o * vEBT_VEBT * nat ) > list(vEBT_VEBT) ).

tff(func_def_4213,type,
    sK4515: ( $o * vEBT_VEBT * nat ) > option(product_prod(nat,nat)) ).

tff(func_def_4214,type,
    sK4516: ( $o * vEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_4215,type,
    sK4517: ( $o * vEBT_VEBT * nat ) > list(vEBT_VEBT) ).

tff(func_def_4216,type,
    sK4518: ( $o * vEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_4217,type,
    sK4519: ( $o * vEBT_VEBT * nat ) > nat ).

tff(func_def_4218,type,
    sK4520: ( $o * vEBT_VEBT * nat ) > option(product_prod(nat,nat)) ).

tff(func_def_4219,type,
    sK4529: real > int ).

tff(func_def_4220,type,
    sK4530: vEBT_VEBT > nat ).

tff(func_def_4221,type,
    sK4531: 
      !>[X0: $tType] : ( ( X0 * set(X0) ) > X0 ) ).

tff(func_def_4222,type,
    sK4532: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,fun(X0,$o)) * fun(X1,fun(X0,$o)) * option(X0) * option(X1) ) > X0 ) ).

tff(func_def_4223,type,
    sK4533: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,fun(X0,$o)) * fun(X1,fun(X0,$o)) * option(X0) * option(X1) ) > X1 ) ).

tff(func_def_4224,type,
    sK4534: 
      !>[X0: $tType] : ( X0 > int ) ).

tff(func_def_4225,type,
    sK4535: ( real * fun(real,real) ) > real ).

tff(func_def_4226,type,
    sK4536: ( real * fun(real,fun(real,real)) * real ) > real ).

tff(func_def_4227,type,
    sK4537: ( real * fun(real,fun(real,real)) * fun(real,real) * real ) > real ).

tff(func_def_4228,type,
    sK4538: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * fun(X0,X1) ) > X0 ) ).

tff(func_def_4229,type,
    sK4539: ( fun(real,real) * real ) > real ).

tff(func_def_4230,type,
    sK4540: ( list(vEBT_VEBT) * nat ) > vEBT_VEBT ).

tff(func_def_4231,type,
    sK4541: ( list(vEBT_VEBT) * nat ) > vEBT_VEBT ).

tff(func_def_4232,type,
    sK4542: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_4233,type,
    sK4543: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_4234,type,
    sK4544: ( nat * $o * vEBT_VEBT ) > nat ).

tff(func_def_4235,type,
    sK4545: ( nat * $o * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_4236,type,
    sK4546: ( nat * $o * vEBT_VEBT ) > list(vEBT_VEBT) ).

tff(func_def_4237,type,
    sK4547: ( nat * $o * vEBT_VEBT ) > nat ).

tff(func_def_4238,type,
    sK4548: ( nat * $o * vEBT_VEBT ) > nat ).

tff(func_def_4239,type,
    sK4549: ( nat * $o * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_4240,type,
    sK4550: ( nat * $o * vEBT_VEBT ) > nat ).

tff(func_def_4241,type,
    sK4551: ( nat * $o * vEBT_VEBT ) > list(vEBT_VEBT) ).

tff(func_def_4242,type,
    sK4554: ( nat * $o * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_4243,type,
    sK4555: ( nat * $o * vEBT_VEBT ) > list(vEBT_VEBT) ).

tff(func_def_4244,type,
    sK4556: ( nat * $o * vEBT_VEBT ) > nat ).

tff(func_def_4245,type,
    sK4557: ( nat * $o * vEBT_VEBT ) > nat ).

tff(func_def_4246,type,
    sK4558: ( nat * $o * vEBT_VEBT ) > list(vEBT_VEBT) ).

tff(func_def_4247,type,
    sK4559: ( nat * $o * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_4248,type,
    sK4567: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * set(X0) ) > X0 ) ).

tff(func_def_4249,type,
    sK4568: 
      !>[X0: $tType,X1: $tType] : ( ( fun(option(X1),fun(option(X0),$o)) * fun(X1,fun(X0,$o)) ) > X0 ) ).

tff(func_def_4250,type,
    sK4569: 
      !>[X0: $tType,X1: $tType] : ( ( fun(option(X1),fun(option(X0),$o)) * fun(X1,fun(X0,$o)) ) > X1 ) ).

tff(func_def_4251,type,
    sK4575: product_prod(vEBT_VEBT,nat) > product_prod(nat,nat) ).

tff(func_def_4252,type,
    sK4576: product_prod(vEBT_VEBT,nat) > nat ).

tff(func_def_4253,type,
    sK4577: product_prod(vEBT_VEBT,nat) > vEBT_VEBT ).

tff(func_def_4254,type,
    sK4578: product_prod(vEBT_VEBT,nat) > list(vEBT_VEBT) ).

tff(func_def_4255,type,
    sK4580: product_prod(vEBT_VEBT,nat) > nat ).

tff(func_def_4256,type,
    sK4582: product_prod(vEBT_VEBT,nat) > nat ).

tff(func_def_4257,type,
    sK4583: product_prod(vEBT_VEBT,nat) > product_prod(nat,nat) ).

tff(func_def_4258,type,
    sK4584: product_prod(vEBT_VEBT,nat) > vEBT_VEBT ).

tff(func_def_4259,type,
    sK4585: product_prod(vEBT_VEBT,nat) > list(vEBT_VEBT) ).

tff(func_def_4260,type,
    sK4586: product_prod(vEBT_VEBT,nat) > nat ).

tff(func_def_4261,type,
    sK4587: product_prod(vEBT_VEBT,nat) > nat ).

tff(func_def_4262,type,
    sK4588: product_prod(vEBT_VEBT,nat) > vEBT_VEBT ).

tff(func_def_4263,type,
    sK4589: product_prod(vEBT_VEBT,nat) > list(vEBT_VEBT) ).

tff(func_def_4264,type,
    sK4590: product_prod(vEBT_VEBT,nat) > nat ).

tff(func_def_4265,type,
    sK4591: product_prod(vEBT_VEBT,nat) > nat ).

tff(func_def_4266,type,
    sK4592: product_prod(vEBT_VEBT,nat) > vEBT_VEBT ).

tff(func_def_4267,type,
    sK4593: product_prod(vEBT_VEBT,nat) > nat ).

tff(func_def_4268,type,
    sK4594: product_prod(vEBT_VEBT,nat) > list(vEBT_VEBT) ).

tff(func_def_4269,type,
    sK4595: product_prod(vEBT_VEBT,nat) > nat ).

tff(func_def_4270,type,
    sK4596: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_4271,type,
    sK4597: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_4272,type,
    sK4598: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_4273,type,
    sK4599: fun(real,$o) > real ).

tff(func_def_4274,type,
    sK4600: fun(real,$o) > real ).

tff(func_def_4275,type,
    sK4601: fun(real,$o) > nat ).

tff(func_def_4276,type,
    sK4602: 
      !>[X0: $tType] : ( ( list(X0) * fun(X0,$o) ) > X0 ) ).

tff(func_def_4277,type,
    sK4603: 
      !>[X0: $tType] : ( X0 > X0 ) ).

tff(func_def_4278,type,
    sK4604: ( real * real * fun(real,real) * fun(real,real) ) > real ).

tff(func_def_4279,type,
    sK4605: 
      !>[X0: $tType,X1: $tType] : ( fun(X1,X0) > real ) ).

tff(func_def_4280,type,
    sK4606: 
      !>[X0: $tType] : ( fun(product_prod(X0,X0),$o) > real ) ).

tff(func_def_4281,type,
    sK4607: 
      !>[X0: $tType] : ( ( fun(product_prod(X0,X0),$o) * real ) > X0 ) ).

tff(func_def_4282,type,
    sK4608: 
      !>[X0: $tType] : ( ( fun(product_prod(X0,X0),$o) * real ) > X0 ) ).

tff(func_def_4283,type,
    sK4611: 
      !>[X0: $tType] : ( ( X0 * X0 ) > X0 ) ).

tff(func_def_4284,type,
    sK4612: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( fun(X2,fun(X1,X0)) > real ) ).

tff(func_def_4285,type,
    sK4613: extended_enat > nat ).

tff(func_def_4286,type,
    sK4614: real ).

tff(func_def_4287,type,
    sK4615: 
      !>[X0: $tType] : ( ( fun(X0,real) * set(X0) ) > X0 ) ).

tff(func_def_4288,type,
    sK4616: 
      !>[X0: $tType] : ( ( set(X0) * fun(X0,real) ) > X0 ) ).

tff(func_def_4289,type,
    sK4617: 
      !>[X0: $tType] : ( ( set(X0) * fun(X0,real) ) > X0 ) ).

tff(func_def_4290,type,
    sK4618: 
      !>[X0: $tType,X1: $tType] : ( ( option(X0) * fun(X1,fun(X0,$o)) * option(X1) ) > option(product_prod(X1,X0)) ) ).

tff(func_def_4291,type,
    sK4619: 
      !>[X0: $tType] : ( fun(nat,X0) > nat ) ).

tff(func_def_4292,type,
    sK4620: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_4293,type,
    sK4621: ( nat * nat * nat ) > nat ).

tff(func_def_4294,type,
    sK4622: 
      !>[X0: $tType] : ( ( nat * fun(X0,$o) * fun(X0,nat) ) > X0 ) ).

tff(func_def_4295,type,
    sK4623: 
      !>[X0: $tType] : ( ( fun(X0,$o) * fun(X0,nat) ) > X0 ) ).

tff(func_def_4296,type,
    sK4624: 
      !>[X0: $tType] : ( ( X0 * fun(nat,X0) ) > set(X0) ) ).

tff(func_def_4297,type,
    sK4625: 
      !>[X0: $tType] : ( ( fun(nat,X0) * set(X0) ) > nat ) ).

tff(func_def_4298,type,
    sK4626: 
      !>[X0: $tType] : ( ( X0 * fun(nat,X0) * nat ) > nat ) ).

tff(func_def_4299,type,
    sK4627: ( set(int) * int * int ) > int ).

tff(func_def_4300,type,
    sK4628: ( set(int) * int * int ) > int ).

tff(func_def_4301,type,
    sK4629: 
      !>[X0: $tType] : ( fun(nat,X0) > nat ) ).

tff(func_def_4302,type,
    sK4630: 
      !>[X0: $tType] : ( fun(nat,X0) > nat ) ).

tff(func_def_4303,type,
    sK4631: fun(int,$o) > int ).

tff(func_def_4304,type,
    sK4632: fun(int,$o) > int ).

tff(func_def_4305,type,
    sK4633: 
      !>[X0: $tType] : ( ( X0 * fun(X0,X0) ) > X0 ) ).

tff(func_def_4306,type,
    sK4634: ( fun(real,real) * real * real ) > real ).

tff(func_def_4307,type,
    sK4635: ( fun(real,real) * real * real ) > real ).

tff(func_def_4308,type,
    sK4636: ( fun(real,real) * real * real ) > real ).

tff(func_def_4309,type,
    sK4637: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * real * X1 * X0 ) > real ) ).

tff(func_def_4310,type,
    sK4638: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * fun(X0,nat) * fun(X0,nat) ) > X0 ) ).

tff(func_def_4311,type,
    sK4639: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * fun(X0,nat) * fun(X0,nat) ) > X0 ) ).

tff(func_def_4312,type,
    sK4640: fun(real,fun(real,$o)) > real ).

tff(func_def_4313,type,
    sK4641: fun(real,fun(real,$o)) > real ).

tff(func_def_4314,type,
    sK4642: fun(real,fun(real,$o)) > real ).

tff(func_def_4315,type,
    sK4643: ( fun(real,fun(real,$o)) * real * real ) > real ).

tff(func_def_4316,type,
    sK4644: ( fun(real,fun(real,$o)) * real * real * real ) > real ).

tff(func_def_4317,type,
    sK4645: ( fun(real,fun(real,$o)) * real * real * real ) > real ).

tff(func_def_4318,type,
    sK4646: fun(nat,$o) > nat ).

tff(func_def_4319,type,
    sK4647: extended_enat > nat ).

tff(func_def_4320,type,
    sK4648: ( nat * list(vEBT_VEBT) * vEBT_VEBT ) > nat ).

tff(func_def_4321,type,
    sK4649: list(vEBT_VEBT) > vEBT_VEBT ).

tff(func_def_4322,type,
    sK4650: ( nat * list(vEBT_VEBT) * nat * nat * nat ) > nat ).

tff(func_def_4323,type,
    sK4651: ( nat * list(vEBT_VEBT) * vEBT_VEBT ) > nat ).

tff(func_def_4324,type,
    sK4652: ( list(vEBT_VEBT) * nat ) > nat ).

tff(func_def_4325,type,
    sK4653: list(vEBT_VEBT) > nat ).

tff(func_def_4326,type,
    sK4654: ( set(nat) * nat ) > nat ).

tff(func_def_4327,type,
    sK4655: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_4328,type,
    sK4656: ( vEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_4329,type,
    sK4657: ( vEBT_VEBT * nat ) > option(product_prod(nat,nat)) ).

tff(func_def_4330,type,
    sK4658: ( vEBT_VEBT * nat ) > list(vEBT_VEBT) ).

tff(func_def_4331,type,
    sK4661: ( vEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_4332,type,
    sK4664: list(vEBT_VEBT) > vEBT_VEBT ).

tff(func_def_4333,type,
    sK4665: vEBT_VEBT > nat ).

tff(func_def_4334,type,
    sK4666: list(vEBT_VEBT) > nat ).

tff(func_def_4335,type,
    sK4667: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * X1 * X0 ) > real ) ).

tff(func_def_4336,type,
    sK4668: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * X1 * X0 * real ) > X0 ) ).

tff(func_def_4337,type,
    sK4669: 
      !>[X0: $tType] : ( ( nat * fun(X0,$o) * fun(X0,nat) ) > X0 ) ).

tff(func_def_4338,type,
    sK4670: 
      !>[X0: $tType,X1: $tType] : ( ( list(X0) * fun(X0,X1) * fun(X0,X1) ) > X0 ) ).

tff(func_def_4339,type,
    sK4671: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_4340,type,
    sK4672: ( fun(real,real) * real * real ) > real ).

tff(func_def_4341,type,
    sK4673: 
      !>[X0: $tType] : X0 ).

tff(func_def_4342,type,
    sK4674: 
      !>[X0: $tType] : X0 ).

tff(func_def_4343,type,
    sK4675: 
      !>[X0: $tType] : ( ( fun(X0,$o) * fun(X0,$o) ) > X0 ) ).

tff(func_def_4344,type,
    sK4676: 
      !>[X0: $tType] : ( fun(X0,$o) > X0 ) ).

tff(func_def_4345,type,
    sK4684: num > num ).

tff(func_def_4346,type,
    sK4685: num > num ).

tff(func_def_4347,type,
    sK4686: ( option(num) * num * num ) > num ).

tff(func_def_4348,type,
    sK4687: ( option(num) * num * num ) > num ).

tff(func_def_4349,type,
    sK4688: ( option(num) * num * num ) > num ).

tff(func_def_4350,type,
    sK4689: ( option(num) * num * num ) > num ).

tff(func_def_4351,type,
    sK4690: num > num ).

tff(func_def_4352,type,
    sK4691: num > num ).

tff(func_def_4353,type,
    sK4692: ( option(num) * num * num ) > num ).

tff(func_def_4354,type,
    sK4693: ( option(num) * num * num ) > num ).

tff(func_def_4355,type,
    sK4694: ( option(num) * num * num ) > num ).

tff(func_def_4356,type,
    sK4695: ( option(num) * num * num ) > num ).

tff(func_def_4357,type,
    sK4696: fun(real,$o) > fun(nat,rat) ).

tff(func_def_4358,type,
    sK4697: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,option(X1)) * X0 ) > X1 ) ).

tff(func_def_4359,type,
    sK4698: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_4360,type,
    sK4699: fun(nat,rat) > rat ).

tff(func_def_4361,type,
    sK4700: fun(nat,rat) > nat ).

tff(func_def_4362,type,
    sK4701: ( fun(nat,rat) * rat * nat ) > nat ).

tff(func_def_4363,type,
    sK4702: ( set(int) * int * int ) > int ).

tff(func_def_4364,type,
    sK4703: ( set(int) * int * int ) > int ).

tff(func_def_4365,type,
    sK4704: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,X0) * X0 ) > X1 ) ).

tff(func_def_4366,type,
    sK4705: 
      !>[X0: $tType] : ( fun(nat,X0) > real ) ).

tff(func_def_4367,type,
    sK4706: 
      !>[X0: $tType] : ( ( fun(nat,X0) * real ) > nat ) ).

tff(func_def_4368,type,
    sK4707: 
      !>[X0: $tType] : ( ( fun(nat,X0) * nat ) > nat ) ).

tff(func_def_4369,type,
    sK4708: 
      !>[X0: $tType,X1: $tType] : ( fun(X1,X0) > X1 ) ).

tff(func_def_4370,type,
    sK4709: 
      !>[X0: $tType,X1: $tType] : ( fun(X1,X0) > X1 ) ).

tff(func_def_4371,type,
    sK4710: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * fun(X1,X0) * set(X1) ) > X1 ) ).

tff(func_def_4372,type,
    sK4711: 
      !>[X0: $tType] : ( ( option(X0) * fun(X0,fun(X0,$o)) ) > X0 ) ).

tff(func_def_4373,type,
    sK4712: 
      !>[X0: $tType,X1: $tType] : ( fun(X1,X0) > X1 ) ).

tff(func_def_4374,type,
    sK4713: 
      !>[X0: $tType,X1: $tType] : ( fun(X1,X0) > X1 ) ).

tff(func_def_4375,type,
    sK4714: 
      !>[X0: $tType] : ( ( fun(nat,nat) * fun(nat,X0) ) > nat ) ).

tff(func_def_4376,type,
    sK4715: ( fun(nat,$o) * nat ) > nat ).

tff(func_def_4377,type,
    sK4716: ( fun(nat,$o) * nat ) > nat ).

tff(func_def_4378,type,
    sK4717: 
      !>[X0: $tType,X1: $tType] : ( ( option(X0) * fun(X0,X1) * fun(X0,X1) ) > X0 ) ).

tff(func_def_4379,type,
    sK4718: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * set(X1) * set(X1) ) > X1 ) ).

tff(func_def_4380,type,
    sK4719: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_4381,type,
    sK4720: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * set(X1) * set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_4382,type,
    sK4721: ( int * product_prod(int,int) * int ) > int ).

tff(func_def_4383,type,
    sK4722: ( int * product_prod(int,int) * int ) > int ).

tff(func_def_4384,type,
    sK4723: ( int * product_prod(int,int) * int ) > int ).

tff(func_def_4385,type,
    sK4724: ( int * product_prod(int,int) * int ) > int ).

tff(func_def_4386,type,
    sK4725: ( int * product_prod(int,int) * int ) > int ).

tff(func_def_4387,type,
    sK4726: ( int * product_prod(int,int) * int ) > int ).

tff(func_def_4388,type,
    sK4727: ( int * product_prod(int,int) * int ) > int ).

tff(func_def_4389,type,
    sK4728: ( int * product_prod(int,int) * int ) > int ).

tff(func_def_4390,type,
    sK4730: 
      !>[X0: $tType] : ( ( fun(X0,X0) * fun(nat,X0) * real ) > X0 ) ).

tff(func_def_4391,type,
    sK4731: ( fun(nat,$o) * nat ) > nat ).

tff(func_def_4392,type,
    sK4732: ( fun(nat,$o) * nat ) > nat ).

tff(func_def_4393,type,
    sK4733: ( nat * nat * nat ) > nat ).

tff(func_def_4394,type,
    sK4734: ( real * real * fun(real,real) ) > real ).

tff(func_def_4395,type,
    sK4735: ( real * real * fun(real,real) * fun(real,real) ) > real ).

tff(func_def_4396,type,
    sK4736: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_4397,type,
    sK4737: ( real * real * fun(real,real) ) > real ).

tff(func_def_4398,type,
    sK4738: ( real * nat ) > real ).

tff(func_def_4399,type,
    sK4739: 
      !>[X0: $tType] : ( ( nat * fun(nat,X0) ) > nat ) ).

tff(func_def_4400,type,
    sK4740: ( real * fun(nat,rat) ) > nat ).

tff(func_def_4401,type,
    sK4741: 
      !>[X0: $tType] : ( ( fun(nat,X0) * set(nat) ) > nat ) ).

tff(func_def_4402,type,
    sK4742: fun(nat,real) > nat ).

tff(func_def_4403,type,
    sK4743: fun(nat,real) > nat ).

tff(func_def_4404,type,
    sK4744: 
      !>[X0: $tType] : ( ( X0 * X0 ) > X0 ) ).

tff(func_def_4405,type,
    sK4745: fun(nat,$o) > nat ).

tff(func_def_4406,type,
    sK4746: fun(nat,$o) > nat ).

tff(func_def_4407,type,
    sK4747: ( nat * nat ) > nat ).

tff(func_def_4408,type,
    sK4748: 
      !>[X0: $tType] : ( ( nat * set(X0) ) > set(X0) ) ).

tff(func_def_4409,type,
    sK4749: 
      !>[X0: $tType] : ( ( list(X0) * fun(X0,fun(X0,$o)) ) > nat ) ).

tff(func_def_4410,type,
    sK4750: 
      !>[X0: $tType] : ( ( list(X0) * fun(X0,fun(X0,$o)) ) > nat ) ).

tff(func_def_4411,type,
    sK4751: 
      !>[X0: $tType,X1: $tType] : ( ( X1 * fun(X0,X1) * set(X0) ) > X0 ) ).

tff(func_def_4412,type,
    sK4752: 
      !>[X0: $tType,X1: $tType] : ( ( X1 * fun(X0,X1) * set(X0) ) > X0 ) ).

tff(func_def_4413,type,
    sK4753: ( real * real ) > nat ).

tff(func_def_4414,type,
    sK4754: 
      !>[X0: $tType] : ( ( fun(X0,$o) * fun(X0,X0) ) > X0 ) ).

tff(func_def_4415,type,
    sK4755: 
      !>[X0: $tType] : ( fun(X0,$o) > set(X0) ) ).

tff(func_def_4416,type,
    sK4756: 
      !>[X0: $tType,X1: $tType] : ( fun(X1,X0) > real ) ).

tff(func_def_4417,type,
    sK4757: 
      !>[X0: $tType] : ( ( fun(nat,X0) * nat ) > nat ) ).

tff(func_def_4418,type,
    sK4758: 
      !>[X0: $tType] : ( ( fun(nat,X0) * nat ) > nat ) ).

tff(func_def_4419,type,
    sK4759: 
      !>[X0: $tType] : ( ( fun(nat,X0) * nat ) > nat ) ).

tff(func_def_4420,type,
    sK4760: 
      !>[X0: $tType] : ( ( fun(nat,X0) * nat ) > nat ) ).

tff(func_def_4421,type,
    sK4761: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * set(X0) ) > fun(X1,X0) ) ).

tff(func_def_4422,type,
    sK4762: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( set(X2) * fun(X2,X1) * fun(X1,X0) ) > X2 ) ).

tff(func_def_4423,type,
    sK4763: ( fun(nat,$o) * nat ) > nat ).

tff(func_def_4424,type,
    sK4764: ( fun(nat,$o) * nat ) > nat ).

tff(func_def_4425,type,
    sK4765: 
      !>[X0: $tType] : ( ( real * fun(nat,X0) ) > nat ) ).

tff(func_def_4426,type,
    sK4766: 
      !>[X0: $tType] : ( ( list(X0) * fun(X0,$o) * nat ) > nat ) ).

tff(func_def_4427,type,
    sK4767: 
      !>[X0: $tType] : ( X0 > int ) ).

tff(func_def_4428,type,
    sK4768: 
      !>[X0: $tType] : ( X0 > X0 ) ).

tff(func_def_4429,type,
    sK4769: 
      !>[X0: $tType] : ( ( set(X0) * set(X0) ) > X0 ) ).

tff(func_def_4430,type,
    sK4770: fun(nat,rat) > rat ).

tff(func_def_4431,type,
    sK4771: ( fun(nat,rat) * rat ) > nat ).

tff(func_def_4432,type,
    sK4772: ( fun(nat,rat) * nat ) > nat ).

tff(func_def_4433,type,
    sK4773: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * set(X0) ) > X0 ) ).

tff(func_def_4434,type,
    sK4774: 
      !>[X0: $tType,X1: $tType] : ( ( X1 * list(X0) * list(X1) ) > X0 ) ).

tff(func_def_4435,type,
    sK4788: int > nat ).

tff(func_def_4436,type,
    sK4789: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_4437,type,
    sK4790: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_4438,type,
    sK4791: ( fun(int,$o) * set(int) * int ) > int ).

tff(func_def_4439,type,
    sK4792: ( set(int) * fun(int,$o) * int ) > int ).

tff(func_def_4440,type,
    sK4797: ( set(int) * int * int ) > int ).

tff(func_def_4441,type,
    sK4798: ( set(int) * int * int ) > int ).

tff(func_def_4442,type,
    sK4799: ( fun(nat,rat) * rat ) > nat ).

tff(func_def_4443,type,
    sK4800: 
      !>[X0: $tType] : ( fun(X0,fun(X0,$o)) > X0 ) ).

tff(func_def_4444,type,
    sK4801: 
      !>[X0: $tType] : ( fun(X0,fun(X0,$o)) > X0 ) ).

tff(func_def_4445,type,
    sK4802: 
      !>[X0: $tType] : ( fun(X0,fun(X0,$o)) > X0 ) ).

tff(func_def_4446,type,
    sK4803: 
      !>[X0: $tType] : ( fun(X0,fun(X0,$o)) > X0 ) ).

tff(func_def_4447,type,
    sK4804: 
      !>[X0: $tType] : ( fun(X0,fun(X0,$o)) > X0 ) ).

tff(func_def_4448,type,
    sK4805: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * X0 * filter(X1) ) > real ) ).

tff(func_def_4449,type,
    sK4806: int > nat ).

tff(func_def_4450,type,
    sK4807: 
      !>[X0: $tType] : ( ( nat * fun(nat,X0) ) > nat ) ).

tff(func_def_4451,type,
    sK4808: 
      !>[X0: $tType] : ( ( fun(nat,X0) * nat ) > nat ) ).

tff(func_def_4452,type,
    sK4809: 
      !>[X0: $tType] : ( fun(X0,$o) > real ) ).

tff(func_def_4453,type,
    sK4810: 
      !>[X0: $tType] : ( ( fun(X0,$o) * real ) > X0 ) ).

tff(func_def_4454,type,
    sK4811: fun(nat,$o) > nat ).

tff(func_def_4455,type,
    sK4812: 
      !>[X0: $tType] : ( product_prod(fun(X0,fun(X0,X0)),product_prod(option(X0),option(X0))) > fun(X0,fun(X0,X0)) ) ).

tff(func_def_4456,type,
    sK4813: 
      !>[X0: $tType] : ( product_prod(fun(X0,fun(X0,X0)),product_prod(option(X0),option(X0))) > X0 ) ).

tff(func_def_4457,type,
    sK4814: 
      !>[X0: $tType] : ( product_prod(fun(X0,fun(X0,X0)),product_prod(option(X0),option(X0))) > option(X0) ) ).

tff(func_def_4458,type,
    sK4815: 
      !>[X0: $tType] : ( product_prod(fun(X0,fun(X0,X0)),product_prod(option(X0),option(X0))) > fun(X0,fun(X0,X0)) ) ).

tff(func_def_4459,type,
    sK4816: 
      !>[X0: $tType] : ( product_prod(fun(X0,fun(X0,X0)),product_prod(option(X0),option(X0))) > fun(X0,fun(X0,X0)) ) ).

tff(func_def_4460,type,
    sK4817: 
      !>[X0: $tType] : ( product_prod(fun(X0,fun(X0,X0)),product_prod(option(X0),option(X0))) > X0 ) ).

tff(func_def_4461,type,
    sK4818: 
      !>[X0: $tType] : ( product_prod(fun(X0,fun(X0,X0)),product_prod(option(X0),option(X0))) > X0 ) ).

tff(func_def_4462,type,
    sK4819: fun(nat,$o) > nat ).

tff(func_def_4463,type,
    sK4820: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,X1) ) > X0 ) ).

tff(func_def_4464,type,
    sK4821: 
      !>[X0: $tType] : ( fun(nat,X0) > nat ) ).

tff(func_def_4465,type,
    sK4822: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( fun(X1,X0) * fun(X1,X2) ) > X1 ) ).

tff(func_def_4466,type,
    sK4823: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_4467,type,
    sK4824: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_4468,type,
    sK4825: 
      !>[X0: $tType] : ( ( fun(X0,$o) * X0 * nat ) > X0 ) ).

tff(func_def_4469,type,
    sK4826: 
      !>[X0: $tType] : ( ( X0 * X0 * nat * set(product_prod(X0,X0)) ) > X0 ) ).

tff(func_def_4470,type,
    sK4827: 
      !>[X0: $tType] : ( ( X0 * X0 * nat * set(product_prod(X0,X0)) ) > nat ) ).

tff(func_def_4471,type,
    sK4828: ( int * set(int) * fun(int,$o) ) > int ).

tff(func_def_4472,type,
    sK4829: ( fun(int,$o) * int ) > int ).

tff(func_def_4473,type,
    sK4830: ( fun(int,$o) * int ) > int ).

tff(func_def_4474,type,
    sK4831: fun(int,$o) > int ).

tff(func_def_4475,type,
    sK4834: ( int * set(int) * fun(int,$o) ) > int ).

tff(func_def_4476,type,
    sK4835: ( fun(int,$o) * int ) > int ).

tff(func_def_4477,type,
    sK4837: ( fun(int,$o) * fun(int,$o) * int ) > int ).

tff(func_def_4478,type,
    sK4839: ( int * set(int) * fun(int,$o) ) > int ).

tff(func_def_4479,type,
    sK4840: 
      !>[X0: $tType] : ( ( X0 * X0 ) > X0 ) ).

tff(func_def_4480,type,
    sK4841: fun(nat,real) > real ).

tff(func_def_4481,type,
    sK4842: ( fun(nat,real) * nat ) > nat ).

tff(func_def_4482,type,
    sK4843: fun(nat,rat) > rat ).

tff(func_def_4483,type,
    sK4844: ( fun(nat,rat) * rat ) > nat ).

tff(func_def_4484,type,
    sK4845: ( fun(nat,rat) * nat ) > nat ).

tff(func_def_4485,type,
    sK4846: ( fun(nat,rat) * nat ) > nat ).

tff(func_def_4486,type,
    sK4847: 
      !>[X0: $tType] : ( ( X0 * X0 ) > X0 ) ).

tff(func_def_4487,type,
    sK4848: 
      !>[X0: $tType] : ( ( nat * X0 * X0 * set(product_prod(X0,X0)) ) > nat ) ).

tff(func_def_4488,type,
    sK4849: 
      !>[X0: $tType] : ( ( nat * X0 * X0 * set(product_prod(X0,X0)) ) > X0 ) ).

tff(func_def_4489,type,
    sK4850: ( nat * vEBT_VEBT * nat ) > nat ).

tff(func_def_4490,type,
    sK4851: ( nat * vEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_4491,type,
    sK4852: ( nat * vEBT_VEBT * nat ) > list(vEBT_VEBT) ).

tff(func_def_4492,type,
    sK4853: ( nat * vEBT_VEBT * nat ) > nat ).

tff(func_def_4493,type,
    sK4854: ( nat * vEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_4494,type,
    sK4855: ( nat * vEBT_VEBT * nat ) > nat ).

tff(func_def_4495,type,
    sK4856: ( nat * vEBT_VEBT * nat ) > list(vEBT_VEBT) ).

tff(func_def_4496,type,
    sK4857: ( nat * vEBT_VEBT * nat ) > nat ).

tff(func_def_4497,type,
    sK4862: ( nat * vEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_4498,type,
    sK4863: ( nat * vEBT_VEBT * nat ) > nat ).

tff(func_def_4499,type,
    sK4864: ( nat * vEBT_VEBT * nat ) > nat ).

tff(func_def_4500,type,
    sK4865: ( nat * vEBT_VEBT * nat ) > nat ).

tff(func_def_4501,type,
    sK4866: ( nat * vEBT_VEBT * nat ) > list(vEBT_VEBT) ).

tff(func_def_4502,type,
    sK4869: ( nat * vEBT_VEBT * nat ) > list(vEBT_VEBT) ).

tff(func_def_4503,type,
    sK4870: ( nat * vEBT_VEBT * nat ) > nat ).

tff(func_def_4504,type,
    sK4871: ( nat * vEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_4505,type,
    sK4877: ( nat * nat * $o * $o ) > nat ).

tff(func_def_4506,type,
    sK4921: ( int * set(int) * int ) > int ).

tff(func_def_4507,type,
    sK4922: ( int * set(int) * int ) > int ).

tff(func_def_4508,type,
    sK4923: 
      !>[X0: $tType] : ( ( option(X0) * fun(X0,fun(X0,$o)) * option(X0) * $o ) > X0 ) ).

tff(func_def_4509,type,
    sK4924: 
      !>[X0: $tType] : ( ( option(X0) * fun(X0,fun(X0,$o)) * option(X0) * $o ) > X0 ) ).

tff(func_def_4510,type,
    sK4927: 
      !>[X0: $tType] : ( ( option(X0) * fun(X0,fun(X0,$o)) * $o * X0 ) > X0 ) ).

tff(func_def_4511,type,
    sK4928: ( nat * nat ) > nat ).

tff(func_def_4512,type,
    sK4929: ( vEBT_VEBT * option(nat) ) > vEBT_VEBT ).

tff(func_def_4513,type,
    sK4930: ( vEBT_VEBT * option(nat) ) > nat ).

tff(func_def_4514,type,
    sK4931: ( vEBT_VEBT * option(nat) ) > nat ).

tff(func_def_4515,type,
    sK4932: ( vEBT_VEBT * option(nat) ) > nat ).

tff(func_def_4516,type,
    sK4933: ( vEBT_VEBT * option(nat) ) > list(vEBT_VEBT) ).

tff(func_def_4517,type,
    sK4934: ( vEBT_VEBT * option(nat) ) > list(vEBT_VEBT) ).

tff(func_def_4518,type,
    sK4935: ( vEBT_VEBT * option(nat) ) > nat ).

tff(func_def_4519,type,
    sK4936: ( vEBT_VEBT * option(nat) ) > vEBT_VEBT ).

tff(func_def_4520,type,
    sK4940: real > rat ).

tff(func_def_4521,type,
    sK4941: real > nat ).

tff(func_def_4522,type,
    sK4942: ( real * rat * nat ) > nat ).

tff(func_def_4523,type,
    sK4943: ( real * fun(real,real) * real ) > real ).

tff(func_def_4524,type,
    sK4944: ( fun(real,real) * real ) > real ).

tff(func_def_4525,type,
    sK4945: real > int ).

tff(func_def_4526,type,
    sK4946: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,X1) * fun(X0,X1) ) > X0 ) ).

tff(func_def_4527,type,
    sK4947: fun(nat,real) > nat ).

tff(func_def_4528,type,
    sK4948: fun(nat,real) > nat ).

tff(func_def_4529,type,
    sK4949: 
      !>[X0: $tType] : ( ( X0 * set(X0) ) > X0 ) ).

tff(func_def_4530,type,
    sK4950: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * set(X0) ) > X0 ) ).

tff(func_def_4531,type,
    sK4951: ( fun(real,real) * real * real ) > real ).

tff(func_def_4532,type,
    sK4952: fun(nat,rat) > rat ).

tff(func_def_4533,type,
    sK4953: fun(nat,rat) > nat ).

tff(func_def_4534,type,
    sK4954: ( fun(nat,rat) * rat * nat ) > nat ).

tff(func_def_4535,type,
    sK4955: 
      !>[X0: $tType] : ( X0 > int ) ).

tff(func_def_4536,type,
    sK4956: 
      !>[X0: $tType] : ( set(X0) > fun(nat,X0) ) ).

tff(func_def_4537,type,
    sK4957: list(vEBT_VEBT) > vEBT_VEBT ).

tff(func_def_4538,type,
    sK4958: vEBT_VEBT > nat ).

tff(func_def_4539,type,
    sK4959: ( list(vEBT_VEBT) * nat ) > vEBT_VEBT ).

tff(func_def_4540,type,
    sK4960: list(vEBT_VEBT) > nat ).

tff(func_def_4541,type,
    sK4961: 
      !>[X0: $tType] : ( ( fun(X0,$o) * fun(X0,nat) ) > X0 ) ).

tff(func_def_4542,type,
    sK4962: ( int * int ) > int ).

tff(func_def_4543,type,
    sK4963: 
      !>[X0: $tType] : ( ( set(X0) * fun(X0,nat) ) > X0 ) ).

tff(func_def_4544,type,
    sK4964: 
      !>[X0: $tType] : ( ( option(X0) * option(X0) * fun(X0,fun(X0,$o)) ) > X0 ) ).

tff(func_def_4545,type,
    sK4965: 
      !>[X0: $tType] : ( ( option(X0) * option(X0) * fun(X0,fun(X0,$o)) ) > X0 ) ).

tff(func_def_4546,type,
    sK4966: 
      !>[X0: $tType] : ( ( option(X0) * option(X0) * fun(X0,fun(X0,$o)) ) > X0 ) ).

tff(func_def_4547,type,
    sK4967: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * set(X0) ) > X0 ) ).

tff(func_def_4548,type,
    sK4968: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,X0) * fun(X1,X0) ) > X1 ) ).

tff(func_def_4549,type,
    sK4969: int > nat ).

tff(func_def_4550,type,
    sK4970: int > nat ).

tff(func_def_4551,type,
    sK4971: ( fun(real,real) * real * fun(real,fun(real,real)) * real ) > real ).

tff(func_def_4552,type,
    sK4972: ( fun(real,real) * real * fun(real,fun(real,real)) * real ) > real ).

tff(func_def_4553,type,
    sK4973: 
      !>[X0: $tType] : ( X0 > int ) ).

tff(func_def_4554,type,
    sK4974: 
      !>[X0: $tType,X1: $tType] : ( ( list(X1) * list(X0) * product_prod(X0,X1) ) > nat ) ).

tff(func_def_4555,type,
    sK4975: 
      !>[X0: $tType] : ( fun(nat,X0) > X0 ) ).

tff(func_def_4556,type,
    sK4976: 
      !>[X0: $tType] : ( ( X0 * X0 ) > nat ) ).

tff(func_def_4557,type,
    sK4977: ( real * fun(real,real) * real ) > real ).

tff(func_def_4558,type,
    sK4978: ( real * fun(real,real) * real ) > real ).

tff(func_def_4559,type,
    sK4979: ( real * fun(real,real) * real ) > real ).

tff(func_def_4560,type,
    sK4980: ( real * fun(real,real) * real ) > real ).

tff(func_def_4561,type,
    sK4981: ( real * fun(real,real) * fun(real,real) * real ) > real ).

tff(func_def_4562,type,
    sK4982: ( real * fun(real,real) * fun(real,real) * real ) > real ).

tff(func_def_4563,type,
    sK4983: ( real * fun(real,real) * fun(real,real) * real ) > real ).

tff(func_def_4564,type,
    sK4987: 
      !>[X0: $tType] : ( ( fun(X0,X0) * X0 ) > X0 ) ).

tff(func_def_4565,type,
    sK4988: 
      !>[X0: $tType] : ( ( fun(X0,X0) * X0 ) > set(X0) ) ).

tff(func_def_4566,type,
    sK4989: ( set(int) * int * int ) > int ).

tff(func_def_4567,type,
    sK4990: ( set(int) * int * int ) > int ).

tff(func_def_4568,type,
    sK4991: 
      !>[X0: $tType] : ( ( fun(nat,X0) * nat ) > X0 ) ).

tff(func_def_4569,type,
    sK4992: 
      !>[X0: $tType] : ( ( fun(nat,X0) * nat ) > nat ) ).

tff(func_def_4570,type,
    sK4993: 
      !>[X0: $tType] : ( ( X0 * set(X0) ) > X0 ) ).

tff(func_def_4571,type,
    sK4995: 
      !>[X0: $tType,X1: $tType] : ( fun(X1,X0) > X1 ) ).

tff(func_def_4572,type,
    sK4996: 
      !>[X0: $tType,X1: $tType] : ( fun(X1,X0) > X1 ) ).

tff(func_def_4573,type,
    sK4997: ( real * nat ) > real ).

tff(func_def_4574,type,
    sK4998: 
      !>[X0: $tType] : ( ( fun(X0,X0) * X0 ) > X0 ) ).

tff(func_def_4575,type,
    sK4999: ( nat * list(vEBT_VEBT) ) > vEBT_VEBT ).

tff(func_def_4576,type,
    sK5000: ( vEBT_VEBT * nat * list(vEBT_VEBT) ) > nat ).

tff(func_def_4577,type,
    sK5001: list(vEBT_VEBT) > vEBT_VEBT ).

tff(func_def_4578,type,
    sK5002: ( nat * nat * nat * nat * list(vEBT_VEBT) ) > nat ).

tff(func_def_4579,type,
    sK5006: list(vEBT_VEBT) > nat ).

tff(func_def_4580,type,
    sK5007: ( list(vEBT_VEBT) * nat ) > nat ).

tff(func_def_4581,type,
    sK5008: ( nat * nat * nat * list(vEBT_VEBT) * nat ) > nat ).

tff(func_def_4582,type,
    sK5009: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * set(X0) ) > X0 ) ).

tff(func_def_4583,type,
    sK5010: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * set(X0) ) > X0 ) ).

tff(func_def_4584,type,
    sK5011: 
      !>[X0: $tType] : ( ( list(X0) * fun(X0,$o) ) > nat ) ).

tff(func_def_4585,type,
    sK5012: ( nat * set(nat) ) > nat ).

tff(pred_def_1,type,
    bounded_lattice: 
      !>[X0: $tType] : $o ).

tff(pred_def_2,type,
    type: 
      !>[X0: $tType] : $o ).

tff(pred_def_3,type,
    size: 
      !>[X0: $tType] : $o ).

tff(pred_def_4,type,
    dvd: 
      !>[X0: $tType] : $o ).

tff(pred_def_5,type,
    one: 
      !>[X0: $tType] : $o ).

tff(pred_def_6,type,
    idom: 
      !>[X0: $tType] : $o ).

tff(pred_def_7,type,
    ring: 
      !>[X0: $tType] : $o ).

tff(pred_def_8,type,
    plus: 
      !>[X0: $tType] : $o ).

tff(pred_def_9,type,
    zero: 
      !>[X0: $tType] : $o ).

tff(pred_def_10,type,
    numeral: 
      !>[X0: $tType] : $o ).

tff(pred_def_11,type,
    power: 
      !>[X0: $tType] : $o ).

tff(pred_def_12,type,
    field: 
      !>[X0: $tType] : $o ).

tff(pred_def_13,type,
    ring_gcd: 
      !>[X0: $tType] : $o ).

tff(pred_def_14,type,
    abs_if: 
      !>[X0: $tType] : $o ).

tff(pred_def_15,type,
    ring_1: 
      !>[X0: $tType] : $o ).

tff(pred_def_16,type,
    uminus: 
      !>[X0: $tType] : $o ).

tff(pred_def_17,type,
    bot: 
      !>[X0: $tType] : $o ).

tff(pred_def_18,type,
    ord: 
      !>[X0: $tType] : $o ).

tff(pred_def_19,type,
    top: 
      !>[X0: $tType] : $o ).

tff(pred_def_20,type,
    semidom: 
      !>[X0: $tType] : $o ).

tff(pred_def_21,type,
    inverse: 
      !>[X0: $tType] : $o ).

tff(pred_def_22,type,
    semiring: 
      !>[X0: $tType] : $o ).

tff(pred_def_23,type,
    ring_char_0: 
      !>[X0: $tType] : $o ).

tff(pred_def_24,type,
    neg_numeral: 
      !>[X0: $tType] : $o ).

tff(pred_def_25,type,
    order: 
      !>[X0: $tType] : $o ).

tff(pred_def_26,type,
    comm_ring: 
      !>[X0: $tType] : $o ).

tff(pred_def_27,type,
    mult_zero: 
      !>[X0: $tType] : $o ).

tff(pred_def_28,type,
    semiring_Gcd: 
      !>[X0: $tType] : $o ).

tff(pred_def_29,type,
    semiring_gcd: 
      !>[X0: $tType] : $o ).

tff(pred_def_30,type,
    group_add: 
      !>[X0: $tType] : $o ).

tff(pred_def_31,type,
    lattice: 
      !>[X0: $tType] : $o ).

tff(pred_def_32,type,
    no_bot: 
      !>[X0: $tType] : $o ).

tff(pred_def_33,type,
    no_top: 
      !>[X0: $tType] : $o ).

tff(pred_def_34,type,
    semiring_0: 
      !>[X0: $tType] : $o ).

tff(pred_def_35,type,
    semiring_1: 
      !>[X0: $tType] : $o ).

tff(pred_def_36,type,
    monoid_add: 
      !>[X0: $tType] : $o ).

tff(pred_def_37,type,
    comm_ring_1: 
      !>[X0: $tType] : $o ).

tff(pred_def_38,type,
    idom_divide: 
      !>[X0: $tType] : $o ).

tff(pred_def_39,type,
    ln: 
      !>[X0: $tType] : $o ).

tff(pred_def_40,type,
    monoid_mult: 
      !>[X0: $tType] : $o ).

tff(pred_def_41,type,
    linorder: 
      !>[X0: $tType] : $o ).

tff(pred_def_42,type,
    preorder: 
      !>[X0: $tType] : $o ).

tff(pred_def_43,type,
    ring_parity: 
      !>[X0: $tType] : $o ).

tff(pred_def_44,type,
    idom_abs_sgn: 
      !>[X0: $tType] : $o ).

tff(pred_def_45,type,
    ordered_ring: 
      !>[X0: $tType] : $o ).

tff(pred_def_46,type,
    zero_neq_one: 
      !>[X0: $tType] : $o ).

tff(pred_def_47,type,
    field_char_0: 
      !>[X0: $tType] : $o ).

tff(pred_def_48,type,
    ab_group_add: 
      !>[X0: $tType] : $o ).

tff(pred_def_49,type,
    semiring_char_0: 
      !>[X0: $tType] : $o ).

tff(pred_def_50,type,
    order_bot: 
      !>[X0: $tType] : $o ).

tff(pred_def_51,type,
    order_top: 
      !>[X0: $tType] : $o ).

tff(pred_def_52,type,
    wellorder: 
      !>[X0: $tType] : $o ).

tff(pred_def_53,type,
    zero_less_one: 
      !>[X0: $tType] : $o ).

tff(pred_def_54,type,
    division_ring: 
      !>[X0: $tType] : $o ).

tff(pred_def_55,type,
    semigroup_add: 
      !>[X0: $tType] : $o ).

tff(pred_def_56,type,
    semiring_numeral: 
      !>[X0: $tType] : $o ).

tff(pred_def_57,type,
    semidom_divide: 
      !>[X0: $tType] : $o ).

tff(pred_def_58,type,
    semidom_modulo: 
      !>[X0: $tType] : $o ).

tff(pred_def_59,type,
    semigroup_mult: 
      !>[X0: $tType] : $o ).

tff(pred_def_60,type,
    dense_order: 
      !>[X0: $tType] : $o ).

tff(pred_def_61,type,
    comm_semiring_0: 
      !>[X0: $tType] : $o ).

tff(pred_def_62,type,
    comm_semiring_1: 
      !>[X0: $tType] : $o ).

tff(pred_def_63,type,
    linordered_idom: 
      !>[X0: $tType] : $o ).

tff(pred_def_64,type,
    linordered_ring: 
      !>[X0: $tType] : $o ).

tff(pred_def_65,type,
    semiring_modulo: 
      !>[X0: $tType] : $o ).

tff(pred_def_66,type,
    comm_monoid_add: 
      !>[X0: $tType] : $o ).

tff(pred_def_67,type,
    semiring_parity: 
      !>[X0: $tType] : $o ).

tff(pred_def_68,type,
    ordered_ring_abs: 
      !>[X0: $tType] : $o ).

tff(pred_def_69,type,
    ordered_semiring: 
      !>[X0: $tType] : $o ).

tff(pred_def_70,type,
    linordered_field: 
      !>[X0: $tType] : $o ).

tff(pred_def_71,type,
    ab_semigroup_add: 
      !>[X0: $tType] : $o ).

tff(pred_def_72,type,
    comm_monoid_diff: 
      !>[X0: $tType] : $o ).

tff(pred_def_73,type,
    comm_monoid_mult: 
      !>[X0: $tType] : $o ).

tff(pred_def_74,type,
    algebraic_semidom: 
      !>[X0: $tType] : $o ).

tff(pred_def_75,type,
    semiring_1_cancel: 
      !>[X0: $tType] : $o ).

tff(pred_def_76,type,
    ab_semigroup_mult: 
      !>[X0: $tType] : $o ).

tff(pred_def_77,type,
    distrib_lattice: 
      !>[X0: $tType] : $o ).

tff(pred_def_78,type,
    semilattice_inf: 
      !>[X0: $tType] : $o ).

tff(pred_def_79,type,
    semilattice_sup: 
      !>[X0: $tType] : $o ).

tff(pred_def_80,type,
    dense_linorder: 
      !>[X0: $tType] : $o ).

tff(pred_def_81,type,
    linordered_semidom: 
      !>[X0: $tType] : $o ).

tff(pred_def_82,type,
    ordered_semiring_0: 
      !>[X0: $tType] : $o ).

tff(pred_def_83,type,
    real_Vector_banach: 
      !>[X0: $tType] : $o ).

tff(pred_def_84,type,
    linordered_semiring: 
      !>[X0: $tType] : $o ).

tff(pred_def_85,type,
    comple9053668089753744459l_ccpo: 
      !>[X0: $tType] : $o ).

tff(pred_def_86,type,
    finite8700451911770168679attice: 
      !>[X0: $tType] : $o ).

tff(pred_def_87,type,
    cancel_semigroup_add: 
      !>[X0: $tType] : $o ).

tff(pred_def_88,type,
    ordered_ab_group_add: 
      !>[X0: $tType] : $o ).

tff(pred_def_89,type,
    linord6961819062388156250ring_1: 
      !>[X0: $tType] : $o ).

tff(pred_def_90,type,
    normal8620421768224518004emidom: 
      !>[X0: $tType] : $o ).

tff(pred_def_91,type,
    ordere2520102378445227354miring: 
      !>[X0: $tType] : $o ).

tff(pred_def_92,type,
    topological_t2_space: 
      !>[X0: $tType] : $o ).

tff(pred_def_93,type,
    bit_semiring_bits: 
      !>[X0: $tType] : $o ).

tff(pred_def_94,type,
    linord4710134922213307826strict: 
      !>[X0: $tType] : $o ).

tff(pred_def_95,type,
    cancel1802427076303600483id_add: 
      !>[X0: $tType] : $o ).

tff(pred_def_96,type,
    topolo6943815403480290642id_add: 
      !>[X0: $tType] : $o ).

tff(pred_def_97,type,
    real_V7773925162809079976_field: 
      !>[X0: $tType] : $o ).

tff(pred_def_98,type,
    ring_15535105094025558882visors: 
      !>[X0: $tType] : $o ).

tff(pred_def_99,type,
    topolo4638772830378233104ormity: 
      !>[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,
    topolo1898628316856586783d_mult: 
      !>[X0: $tType] : $o ).

tff(pred_def_104,type,
    real_V4867850818363320053vector: 
      !>[X0: $tType] : $o ).

tff(pred_def_105,type,
    archim2362893244070406136eiling: 
      !>[X0: $tType] : $o ).

tff(pred_def_106,type,
    semiri6843258321239162965malize: 
      !>[X0: $tType] : $o ).

tff(pred_def_107,type,
    ordere166539214618696060dd_abs: 
      !>[X0: $tType] : $o ).

tff(pred_def_108,type,
    ordere6658533253407199908up_add: 
      !>[X0: $tType] : $o ).

tff(pred_def_109,type,
    real_V7819770556892013058_space: 
      !>[X0: $tType] : $o ).

tff(pred_def_110,type,
    semiri3467727345109120633visors: 
      !>[X0: $tType] : $o ).

tff(pred_def_111,type,
    boolea8198339166811842893lgebra: 
      !>[X0: $tType] : $o ).

tff(pred_def_112,type,
    linord8928482502909563296strict: 
      !>[X0: $tType] : $o ).

tff(pred_def_113,type,
    semido2269285787275462019factor: 
      !>[X0: $tType] : $o ).

tff(pred_def_114,type,
    topolo8386298272705272623_space: 
      !>[X0: $tType] : $o ).

tff(pred_def_115,type,
    topolo7287701948861334536_space: 
      !>[X0: $tType] : $o ).

tff(pred_def_116,type,
    topolo4211221413907600880p_mult: 
      !>[X0: $tType] : $o ).

tff(pred_def_117,type,
    real_V8037385150606011577_space: 
      !>[X0: $tType] : $o ).

tff(pred_def_118,type,
    real_V2191834092415804123ebra_1: 
      !>[X0: $tType] : $o ).

tff(pred_def_119,type,
    linord181362715937106298miring: 
      !>[X0: $tType] : $o ).

tff(pred_def_120,type,
    semiri2026040879449505780visors: 
      !>[X0: $tType] : $o ).

tff(pred_def_121,type,
    topolo2564578578187576103pology: 
      !>[X0: $tType] : $o ).

tff(pred_def_122,type,
    bit_ri3973907225187159222ations: 
      !>[X0: $tType] : $o ).

tff(pred_def_123,type,
    comple6319245703460814977attice: 
      !>[X0: $tType] : $o ).

tff(pred_def_124,type,
    linord4140545234300271783up_add: 
      !>[X0: $tType] : $o ).

tff(pred_def_125,type,
    topolo5987344860129210374id_add: 
      !>[X0: $tType] : $o ).

tff(pred_def_126,type,
    unboun7993243217541854897norder: 
      !>[X0: $tType] : $o ).

tff(pred_def_127,type,
    real_V768167426530841204y_dist: 
      !>[X0: $tType] : $o ).

tff(pred_def_128,type,
    linord715952674999750819strict: 
      !>[X0: $tType] : $o ).

tff(pred_def_129,type,
    archim462609752435547400_field: 
      !>[X0: $tType] : $o ).

tff(pred_def_130,type,
    comple5582772986160207858norder: 
      !>[X0: $tType] : $o ).

tff(pred_def_131,type,
    real_V5047593784448816457lgebra: 
      !>[X0: $tType] : $o ).

tff(pred_def_132,type,
    bounde4346867609351753570nf_top: 
      !>[X0: $tType] : $o ).

tff(pred_def_133,type,
    bounde4967611905675639751up_bot: 
      !>[X0: $tType] : $o ).

tff(pred_def_134,type,
    real_V3459762299906320749_field: 
      !>[X0: $tType] : $o ).

tff(pred_def_135,type,
    topolo1944317154257567458pology: 
      !>[X0: $tType] : $o ).

tff(pred_def_136,type,
    topolo4958980785337419405_space: 
      !>[X0: $tType] : $o ).

tff(pred_def_137,type,
    euclid3725896446679973847miring: 
      !>[X0: $tType] : $o ).

tff(pred_def_138,type,
    canoni5634975068530333245id_add: 
      !>[X0: $tType] : $o ).

tff(pred_def_139,type,
    ordere8940638589300402666id_add: 
      !>[X0: $tType] : $o ).

tff(pred_def_140,type,
    strict7427464778891057005id_add: 
      !>[X0: $tType] : $o ).

tff(pred_def_141,type,
    real_V822414075346904944vector: 
      !>[X0: $tType] : $o ).

tff(pred_def_142,type,
    linord2810124833399127020strict: 
      !>[X0: $tType] : $o ).

tff(pred_def_143,type,
    bit_se359711467146920520ations: 
      !>[X0: $tType] : $o ).

tff(pred_def_144,type,
    ordere2412721322843649153imp_le: 
      !>[X0: $tType] : $o ).

tff(pred_def_145,type,
    ordere580206878836729694up_add: 
      !>[X0: $tType] : $o ).

tff(pred_def_146,type,
    ordere1170586879665033532d_diff: 
      !>[X0: $tType] : $o ).

tff(pred_def_147,type,
    strict9044650504122735259up_add: 
      !>[X0: $tType] : $o ).

tff(pred_def_148,type,
    real_V5355595471888546746vector: 
      !>[X0: $tType] : $o ).

tff(pred_def_149,type,
    real_V4412858255891104859lgebra: 
      !>[X0: $tType] : $o ).

tff(pred_def_150,type,
    semiri6575147826004484403cancel: 
      !>[X0: $tType] : $o ).

tff(pred_def_151,type,
    euclid8851590272496341667cancel: 
      !>[X0: $tType] : $o ).

tff(pred_def_152,type,
    real_V2822296259951069270ebra_1: 
      !>[X0: $tType] : $o ).

tff(pred_def_153,type,
    unique1627219031080169319umeral: 
      !>[X0: $tType] : $o ).

tff(pred_def_154,type,
    comple592849572758109894attice: 
      !>[X0: $tType] : $o ).

tff(pred_def_155,type,
    real_V8999393235501362500lgebra: 
      !>[X0: $tType] : $o ).

tff(pred_def_156,type,
    normal6328177297339901930cative: 
      !>[X0: $tType] : $o ).

tff(pred_def_157,type,
    topolo3112930676232923870pology: 
      !>[X0: $tType] : $o ).

tff(pred_def_158,type,
    euclid4440199948858584721cancel: 
      !>[X0: $tType] : $o ).

tff(pred_def_159,type,
    euclid3128863361964157862miring: 
      !>[X0: $tType] : $o ).

tff(pred_def_160,type,
    topolo8458572112393995274pology: 
      !>[X0: $tType] : $o ).

tff(pred_def_161,type,
    ordere1937475149494474687imp_le: 
      !>[X0: $tType] : $o ).

tff(pred_def_162,type,
    condit5016429287641298734tinuum: 
      !>[X0: $tType] : $o ).

tff(pred_def_163,type,
    euclid8789492081693882211th_nat: 
      !>[X0: $tType] : $o ).

tff(pred_def_164,type,
    euclid5411537665997757685th_nat: 
      !>[X0: $tType] : $o ).

tff(pred_def_165,type,
    counta3822494911875563373attice: 
      !>[X0: $tType] : $o ).

tff(pred_def_166,type,
    semiri1453513574482234551roduct: 
      !>[X0: $tType] : $o ).

tff(pred_def_167,type,
    bit_un5681908812861735899ations: 
      !>[X0: $tType] : $o ).

tff(pred_def_168,type,
    condit1219197933456340205attice: 
      !>[X0: $tType] : $o ).

tff(pred_def_169,type,
    counta4013691401010221786attice: 
      !>[X0: $tType] : $o ).

tff(pred_def_170,type,
    condit6923001295902523014norder: 
      !>[X0: $tType] : $o ).

tff(pred_def_171,type,
    bNF_Ca3754400796208372196lChain: 
      !>[X0: $tType,X1: $tType] : ( ( set(product_prod(X0,X0)) * fun(X0,X1) ) > $o ) ).

tff(pred_def_172,type,
    bit_se6407376104438227557le_bit: 
      !>[X0: $tType] : ( ( itself(X0) * nat ) > $o ) ).

tff(pred_def_173,type,
    boolea2506097494486148201lgebra: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,X0)) * fun(X0,fun(X0,X0)) * fun(X0,X0) * X0 * X0 ) > $o ) ).

tff(pred_def_174,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_175,type,
    comple1908693960933563346ssible: 
      !>[X0: $tType] : ( ( fun(set(X0),X0) * fun(X0,fun(X0,$o)) * fun(X0,$o) ) > $o ) ).

tff(pred_def_176,type,
    comple1602240252501008431_chain: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,$o)) * set(X0) ) > $o ) ).

tff(pred_def_177,type,
    comple7038119648293358887notone: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,fun(X0,$o)) * fun(X1,fun(X1,$o)) * fun(X0,X1) ) > $o ) ).

tff(pred_def_178,type,
    condit941137186595557371_above: 
      !>[X0: $tType] : ( set(X0) > $o ) ).

tff(pred_def_179,type,
    condit1013018076250108175_below: 
      !>[X0: $tType] : ( set(X0) > $o ) ).

tff(pred_def_180,type,
    countable_countable: 
      !>[X0: $tType] : ( set(X0) > $o ) ).

tff(pred_def_181,type,
    differentiable: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * filter(X0) ) > $o ) ).

tff(pred_def_182,type,
    has_derivative: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * fun(X0,X1) * filter(X0) ) > $o ) ).

tff(pred_def_183,type,
    has_field_derivative: 
      !>[X0: $tType] : ( ( fun(X0,X0) * X0 * filter(X0) ) > $o ) ).

tff(pred_def_184,type,
    eucl_rel_int: ( int * int * product_prod(int,int) ) > $o ).

tff(pred_def_185,type,
    unique5940410009612947441es_aux: 
      !>[X0: $tType] : ( product_prod(X0,X0) > $o ) ).

tff(pred_def_186,type,
    eventually: 
      !>[X0: $tType] : ( ( fun(X0,$o) * filter(X0) ) > $o ) ).

tff(pred_def_187,type,
    filterlim: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * filter(X1) * filter(X0) ) > $o ) ).

tff(pred_def_188,type,
    frequently: 
      !>[X0: $tType] : ( ( fun(X0,$o) * filter(X0) ) > $o ) ).

tff(pred_def_189,type,
    finite_finite: 
      !>[X0: $tType] : ( set(X0) > $o ) ).

tff(pred_def_190,type,
    bij_betw: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * set(X0) * set(X1) ) > $o ) ).

tff(pred_def_191,type,
    inj_on: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * set(X0) ) > $o ) ).

tff(pred_def_192,type,
    strict_mono_on: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * set(X0) ) > $o ) ).

tff(pred_def_193,type,
    fun_is_measure: 
      !>[X0: $tType] : ( fun(X0,nat) > $o ) ).

tff(pred_def_194,type,
    fun_reduction_pair: 
      !>[X0: $tType] : ( product_prod(set(product_prod(X0,X0)),set(product_prod(X0,X0))) > $o ) ).

tff(pred_def_195,type,
    comm_monoid: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,X0)) * X0 ) > $o ) ).

tff(pred_def_196,type,
    group: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,X0)) * X0 * fun(X0,X0) ) > $o ) ).

tff(pred_def_197,type,
    monoid: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,X0)) * X0 ) > $o ) ).

tff(pred_def_198,type,
    groups4802862169904069756st_set: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,X0)) * X0 ) > $o ) ).

tff(pred_def_199,type,
    nO_MATCH: 
      !>[X0: $tType,X1: $tType] : ( ( X0 * X1 ) > $o ) ).

tff(pred_def_200,type,
    uniq: 
      !>[X0: $tType] : ( fun(X0,$o) > $o ) ).

tff(pred_def_201,type,
    semilattice_neutr: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,X0)) * X0 ) > $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,
    lattic4895041142388067077er_set: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,X0)) * fun(X0,fun(X0,$o)) * fun(X0,fun(X0,$o)) ) > $o ) ).

tff(pred_def_204,type,
    lattic149705377957585745ce_set: 
      !>[X0: $tType] : ( fun(X0,fun(X0,X0)) > $o ) ).

tff(pred_def_205,type,
    quotient: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,fun(X0,$o)) * fun(X0,X1) * fun(X1,X0) * fun(X0,fun(X1,$o)) ) > $o ) ).

tff(pred_def_206,type,
    bfun: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * filter(X0) ) > $o ) ).

tff(pred_def_207,type,
    zfun: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * filter(X0) ) > $o ) ).

tff(pred_def_208,type,
    distinct: 
      !>[X0: $tType] : ( list(X0) > $o ) ).

tff(pred_def_209,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_210,type,
    list_ex: 
      !>[X0: $tType] : ( ( fun(X0,$o) * list(X0) ) > $o ) ).

tff(pred_def_211,type,
    sorted_wrt: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,$o)) * list(X0) ) > $o ) ).

tff(pred_def_212,type,
    map_le: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,option(X1)) * fun(X0,option(X1)) ) > $o ) ).

tff(pred_def_213,type,
    neg_numeral_is_num: 
      !>[X0: $tType] : ( X0 > $o ) ).

tff(pred_def_214,type,
    ring_1_iszero: 
      !>[X0: $tType] : ( X0 > $o ) ).

tff(pred_def_215,type,
    order_inf_continuous: 
      !>[X0: $tType,X1: $tType] : ( fun(X0,X1) > $o ) ).

tff(pred_def_216,type,
    order_sup_continuous: 
      !>[X0: $tType,X1: $tType] : ( fun(X0,X1) > $o ) ).

tff(pred_def_217,type,
    order_antimono: 
      !>[X0: $tType,X1: $tType] : ( fun(X0,X1) > $o ) ).

tff(pred_def_218,type,
    order_strict_mono: 
      !>[X0: $tType,X1: $tType] : ( fun(X0,X1) > $o ) ).

tff(pred_def_219,type,
    ordering_top: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,$o)) * fun(X0,fun(X0,$o)) * X0 ) > $o ) ).

tff(pred_def_220,type,
    cauchy: fun(nat,rat) > $o ).

tff(pred_def_221,type,
    vanishes: fun(nat,rat) > $o ).

tff(pred_def_222,type,
    real_V2442710119149674383linear: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( fun(X0,fun(X1,X2)) > $o ) ).

tff(pred_def_223,type,
    real_V3181309239436604168linear: 
      !>[X0: $tType,X1: $tType] : ( fun(X0,X1) > $o ) ).

tff(pred_def_224,type,
    real_V4916620083959148203axioms: 
      !>[X0: $tType,X1: $tType] : ( fun(X0,X1) > $o ) ).

tff(pred_def_225,type,
    real_V358717886546972837endent: 
      !>[X0: $tType] : ( set(X0) > $o ) ).

tff(pred_def_226,type,
    real_Vector_linear: 
      !>[X0: $tType,X1: $tType] : ( fun(X0,X1) > $o ) ).

tff(pred_def_227,type,
    transp: 
      !>[X0: $tType] : ( fun(X0,fun(X0,$o)) > $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,
    topolo3448309680560233919inuous: 
      !>[X0: $tType,X1: $tType] : ( ( filter(X0) * fun(X0,X1) ) > $o ) ).

tff(pred_def_232,type,
    topolo81223032696312382ous_on: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,X1) ) > $o ) ).

tff(pred_def_233,type,
    topological_monoseq: 
      !>[X0: $tType] : ( fun(nat,X0) > $o ) ).

tff(pred_def_234,type,
    topolo1002775350975398744n_open: 
      !>[X0: $tType] : ( set(X0) > $o ) ).

tff(pred_def_235,type,
    topolo2193935891317330818ompact: 
      !>[X0: $tType] : ( set(X0) > $o ) ).

tff(pred_def_236,type,
    topolo1966860045006549960nected: 
      !>[X0: $tType] : ( set(X0) > $o ) ).

tff(pred_def_237,type,
    topolo6863149650580417670ergent: 
      !>[X0: $tType] : ( fun(nat,X0) > $o ) ).

tff(pred_def_238,type,
    topolo3814608138187158403Cauchy: 
      !>[X0: $tType] : ( fun(nat,X0) > $o ) ).

tff(pred_def_239,type,
    topolo6773858410816713723filter: 
      !>[X0: $tType] : ( filter(X0) > $o ) ).

tff(pred_def_240,type,
    topolo6688025880775521714ounded: 
      !>[X0: $tType] : ( set(X0) > $o ) ).

tff(pred_def_241,type,
    topolo6026614971017936543ous_on: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,X1) ) > $o ) ).

tff(pred_def_242,type,
    bi_total: 
      !>[X0: $tType,X1: $tType] : ( fun(X0,fun(X1,$o)) > $o ) ).

tff(pred_def_243,type,
    type_definition: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * fun(X1,X0) * set(X1) ) > $o ) ).

tff(pred_def_244,type,
    vEBT_V8194947554948674370ptions: ( vEBT_VEBT * nat ) > $o ).

tff(pred_def_245,type,
    vEBT_V5917875025757280293ildren: ( nat * list(vEBT_VEBT) * nat ) > $o ).

tff(pred_def_246,type,
    vEBT_VEBT_membermima: ( vEBT_VEBT * nat ) > $o ).

tff(pred_def_247,type,
    vEBT_V5719532721284313246member: ( vEBT_VEBT * nat ) > $o ).

tff(pred_def_248,type,
    vEBT_VEBT_valid: ( vEBT_VEBT * nat ) > $o ).

tff(pred_def_249,type,
    vEBT_invar_vebt: ( vEBT_VEBT * nat ) > $o ).

tff(pred_def_250,type,
    vEBT_VEBT_minNull: vEBT_VEBT > $o ).

tff(pred_def_251,type,
    vEBT_VEBT_greater: ( option(nat) * option(nat) ) > $o ).

tff(pred_def_252,type,
    vEBT_VEBT_less: ( option(nat) * option(nat) ) > $o ).

tff(pred_def_253,type,
    vEBT_VEBT_lesseq: ( option(nat) * option(nat) ) > $o ).

tff(pred_def_254,type,
    vEBT_VEBT_max_in_set: ( set(nat) * nat ) > $o ).

tff(pred_def_255,type,
    vEBT_VEBT_min_in_set: ( set(nat) * nat ) > $o ).

tff(pred_def_256,type,
    vEBT_V6923181176774028177_shift: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,$o)) * option(X0) * option(X0) ) > $o ) ).

tff(pred_def_257,type,
    vEBT_is_pred_in_set: ( set(nat) * nat * nat ) > $o ).

tff(pred_def_258,type,
    vEBT_is_succ_in_set: ( set(nat) * nat * nat ) > $o ).

tff(pred_def_259,type,
    accp: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,$o)) * X0 ) > $o ) ).

tff(pred_def_260,type,
    wf: 
      !>[X0: $tType] : ( set(product_prod(X0,X0)) > $o ) ).

tff(pred_def_261,type,
    member: 
      !>[X0: $tType] : ( ( X0 * set(X0) ) > $o ) ).

tff(pred_def_262,type,
    ':=': 
      !>[X0: $tType] : ( ( X0 * X0 ) > $o ) ).

tff(pred_def_263,type,
    sP275: 
      !>[X0: $tType] : ( ( X0 * option(X0) * fun(X0,fun(X0,$o)) * option(X0) * $o ) > $o ) ).

tff(pred_def_264,type,
    sP276: $o > $o ).

tff(pred_def_265,type,
    sK302: product_prod(vEBT_VEBT,nat) > $o ).

tff(pred_def_266,type,
    sK303: product_prod(vEBT_VEBT,nat) > $o ).

tff(pred_def_267,type,
    sK313: product_prod(vEBT_VEBT,nat) > $o ).

tff(pred_def_268,type,
    sK314: product_prod(vEBT_VEBT,nat) > $o ).

tff(pred_def_269,type,
    sP325: $o > $o ).

tff(pred_def_270,type,
    sP326: $o > $o ).

tff(pred_def_271,type,
    sP327: $o > $o ).

tff(pred_def_272,type,
    sP328: $o > $o ).

tff(pred_def_273,type,
    sP329: ( product_prod(vEBT_VEBT,nat) * $o ) > $o ).

tff(pred_def_274,type,
    sP330: ( product_prod(vEBT_VEBT,nat) * $o ) > $o ).

tff(pred_def_275,type,
    sP331: ( product_prod(vEBT_VEBT,nat) * $o ) > $o ).

tff(pred_def_276,type,
    sP332: ( product_prod(vEBT_VEBT,nat) * $o ) > $o ).

tff(pred_def_277,type,
    sP333: ( product_prod(vEBT_VEBT,nat) * $o ) > $o ).

tff(pred_def_278,type,
    sP334: ( product_prod(vEBT_VEBT,nat) * $o ) > $o ).

tff(pred_def_279,type,
    sP335: ( product_prod(vEBT_VEBT,nat) * $o ) > $o ).

tff(pred_def_280,type,
    sP336: ( product_prod(vEBT_VEBT,nat) * $o ) > $o ).

tff(pred_def_281,type,
    sP337: ( product_prod(vEBT_VEBT,nat) * $o ) > $o ).

tff(pred_def_282,type,
    sP338: ( product_prod(vEBT_VEBT,nat) * $o ) > $o ).

tff(pred_def_283,type,
    sP339: ( product_prod(vEBT_VEBT,nat) * $o ) > $o ).

tff(pred_def_284,type,
    sP340: ( product_prod(vEBT_VEBT,nat) * $o ) > $o ).

tff(pred_def_285,type,
    sP341: ( product_prod(vEBT_VEBT,nat) * $o ) > $o ).

tff(pred_def_286,type,
    sP342: ( product_prod(vEBT_VEBT,nat) * $o ) > $o ).

tff(pred_def_287,type,
    sP343: ( product_prod(vEBT_VEBT,nat) * $o ) > $o ).

tff(pred_def_288,type,
    sP344: ( product_prod(vEBT_VEBT,nat) * $o ) > $o ).

tff(pred_def_289,type,
    sP366: 
      !>[X0: $tType] : ( ( X0 * X0 ) > $o ) ).

tff(pred_def_290,type,
    sP367: 
      !>[X0: $tType] : ( ( X0 * fun(X0,$o) * fun(X0,$o) * fun(X0,$o) * fun(X0,$o) ) > $o ) ).

tff(pred_def_291,type,
    sK371: ( vEBT_VEBT * nat * vEBT_VEBT ) > $o ).

tff(pred_def_292,type,
    sK372: ( vEBT_VEBT * nat * vEBT_VEBT ) > $o ).

tff(pred_def_293,type,
    sP387: ( list(vEBT_VEBT) * option(product_prod(nat,nat)) * vEBT_VEBT * vEBT_VEBT * vEBT_VEBT ) > $o ).

tff(pred_def_294,type,
    sP388: ( vEBT_VEBT * nat * list(vEBT_VEBT) * nat * nat * vEBT_VEBT * nat ) > $o ).

tff(pred_def_295,type,
    sP389: $o > $o ).

tff(pred_def_296,type,
    sP390: $o > $o ).

tff(pred_def_297,type,
    sP391: $o > $o ).

tff(pred_def_298,type,
    sP392: ( nat * nat * nat ) > $o ).

tff(pred_def_299,type,
    sP393: ( nat * nat * nat ) > $o ).

tff(pred_def_300,type,
    sP394: ( nat * nat * nat ) > $o ).

tff(pred_def_301,type,
    sP395: $o > $o ).

tff(pred_def_302,type,
    sP396: $o > $o ).

tff(pred_def_303,type,
    sP397: $o > $o ).

tff(pred_def_304,type,
    sP398: ( nat * list(vEBT_VEBT) * nat * nat ) > $o ).

tff(pred_def_305,type,
    sP399: ( nat * nat ) > $o ).

tff(pred_def_306,type,
    sP400: ( nat * nat ) > $o ).

tff(pred_def_307,type,
    sP412: ( int * fun(int,$o) ) > $o ).

tff(pred_def_308,type,
    sP413: ( int * int * set(int) ) > $o ).

tff(pred_def_309,type,
    sP414: ( int * fun(int,$o) * fun(int,$o) * int ) > $o ).

tff(pred_def_310,type,
    sP415: ( int * fun(int,$o) ) > $o ).

tff(pred_def_311,type,
    sK435: ( nat * vEBT_VEBT * vEBT_VEBT ) > $o ).

tff(pred_def_312,type,
    sK436: ( nat * vEBT_VEBT * vEBT_VEBT ) > $o ).

tff(pred_def_313,type,
    sK437: ( nat * vEBT_VEBT * vEBT_VEBT ) > $o ).

tff(pred_def_314,type,
    sK438: ( nat * vEBT_VEBT * vEBT_VEBT ) > $o ).

tff(pred_def_315,type,
    sK447: ( nat * vEBT_VEBT * vEBT_VEBT ) > $o ).

tff(pred_def_316,type,
    sP456: ( list(vEBT_VEBT) * vEBT_VEBT * nat * nat * vEBT_VEBT * vEBT_VEBT ) > $o ).

tff(pred_def_317,type,
    sP457: ( list(vEBT_VEBT) * nat * vEBT_VEBT * nat * vEBT_VEBT * vEBT_VEBT ) > $o ).

tff(pred_def_318,type,
    sP458: ( $o * vEBT_VEBT * vEBT_VEBT * nat ) > $o ).

tff(pred_def_319,type,
    sP459: ( nat * vEBT_VEBT * list(vEBT_VEBT) * vEBT_VEBT * vEBT_VEBT ) > $o ).

tff(pred_def_320,type,
    sP460: ( vEBT_VEBT * list(vEBT_VEBT) * nat * nat * nat * vEBT_VEBT * vEBT_VEBT * nat ) > $o ).

tff(pred_def_321,type,
    sP462: $o > $o ).

tff(pred_def_322,type,
    sP463: $o > $o ).

tff(pred_def_323,type,
    sP464: $o > $o ).

tff(pred_def_324,type,
    sP465: $o > $o ).

tff(pred_def_325,type,
    sP466: $o > $o ).

tff(pred_def_326,type,
    sP467: $o > $o ).

tff(pred_def_327,type,
    sP468: $o > $o ).

tff(pred_def_328,type,
    sK469: ( vEBT_VEBT * $o ) > $o ).

tff(pred_def_329,type,
    sP470: ( vEBT_VEBT * list(vEBT_VEBT) * nat * nat * nat * nat * nat ) > $o ).

tff(pred_def_330,type,
    sP471: ( vEBT_VEBT * list(vEBT_VEBT) * nat * nat * nat * nat ) > $o ).

tff(pred_def_331,type,
    sP472: ( vEBT_VEBT * list(vEBT_VEBT) * nat * nat * nat * nat ) > $o ).

tff(pred_def_332,type,
    sP473: ( vEBT_VEBT * list(vEBT_VEBT) * nat * nat * nat * nat * nat ) > $o ).

tff(pred_def_333,type,
    sP474: ( vEBT_VEBT * list(vEBT_VEBT) * nat * nat * nat * nat ) > $o ).

tff(pred_def_334,type,
    sP475: ( vEBT_VEBT * list(vEBT_VEBT) * nat * nat * nat * nat * nat ) > $o ).

tff(pred_def_335,type,
    sP476: ( vEBT_VEBT * list(vEBT_VEBT) * nat * nat * nat * nat ) > $o ).

tff(pred_def_336,type,
    sP477: ( vEBT_VEBT * list(vEBT_VEBT) * nat * nat * nat * nat ) > $o ).

tff(pred_def_337,type,
    sP478: ( vEBT_VEBT * list(vEBT_VEBT) * nat * nat * nat * nat * nat ) > $o ).

tff(pred_def_338,type,
    sP479: ( vEBT_VEBT * list(vEBT_VEBT) * nat * nat * nat * nat ) > $o ).

tff(pred_def_339,type,
    sP480: ( vEBT_VEBT * list(vEBT_VEBT) * nat * nat * nat * nat ) > $o ).

tff(pred_def_340,type,
    sP481: ( vEBT_VEBT * list(vEBT_VEBT) * nat * nat * nat * nat ) > $o ).

tff(pred_def_341,type,
    sP482: ( vEBT_VEBT * list(vEBT_VEBT) * nat * nat * nat * nat ) > $o ).

tff(pred_def_342,type,
    sP483: ( vEBT_VEBT * list(vEBT_VEBT) * nat * nat * nat * nat ) > $o ).

tff(pred_def_343,type,
    sP484: ( vEBT_VEBT * list(vEBT_VEBT) * nat * nat * nat * nat ) > $o ).

tff(pred_def_344,type,
    sP485: ( vEBT_VEBT * list(vEBT_VEBT) * nat * nat * nat * nat ) > $o ).

tff(pred_def_345,type,
    sP486: ( vEBT_VEBT * list(vEBT_VEBT) * nat * nat * nat * nat ) > $o ).

tff(pred_def_346,type,
    sP487: ( vEBT_VEBT * list(vEBT_VEBT) * nat * nat * nat * nat ) > $o ).

tff(pred_def_347,type,
    sP488: ( vEBT_VEBT * list(vEBT_VEBT) * nat * nat * nat * nat ) > $o ).

tff(pred_def_348,type,
    sP489: ( vEBT_VEBT * list(vEBT_VEBT) * nat * nat * nat * nat ) > $o ).

tff(pred_def_349,type,
    sP490: ( vEBT_VEBT * list(vEBT_VEBT) * nat * nat * nat * nat ) > $o ).

tff(pred_def_350,type,
    sP491: ( vEBT_VEBT * list(vEBT_VEBT) * nat * nat * nat * nat ) > $o ).

tff(pred_def_351,type,
    sP492: ( nat * vEBT_VEBT * vEBT_VEBT * $o ) > $o ).

tff(pred_def_352,type,
    sP493: ( nat * vEBT_VEBT * vEBT_VEBT * $o ) > $o ).

tff(pred_def_353,type,
    sP494: ( nat * vEBT_VEBT * vEBT_VEBT * $o ) > $o ).

tff(pred_def_354,type,
    sP495: ( nat * vEBT_VEBT * vEBT_VEBT * $o ) > $o ).

tff(pred_def_355,type,
    sP496: ( nat * vEBT_VEBT * vEBT_VEBT * $o ) > $o ).

tff(pred_def_356,type,
    sP497: ( nat * vEBT_VEBT * vEBT_VEBT * $o ) > $o ).

tff(pred_def_357,type,
    sP498: ( nat * vEBT_VEBT * vEBT_VEBT * $o ) > $o ).

tff(pred_def_358,type,
    sP499: ( nat * vEBT_VEBT * vEBT_VEBT * $o ) > $o ).

tff(pred_def_359,type,
    sP500: ( nat * vEBT_VEBT * vEBT_VEBT * $o ) > $o ).

tff(pred_def_360,type,
    sP501: ( nat * vEBT_VEBT * vEBT_VEBT * $o ) > $o ).

tff(pred_def_361,type,
    sP502: ( nat * vEBT_VEBT * vEBT_VEBT * $o ) > $o ).

tff(pred_def_362,type,
    sP503: ( nat * vEBT_VEBT * vEBT_VEBT * $o ) > $o ).

tff(pred_def_363,type,
    sP504: ( nat * vEBT_VEBT * vEBT_VEBT * $o ) > $o ).

tff(pred_def_364,type,
    sP505: ( nat * vEBT_VEBT * vEBT_VEBT * $o ) > $o ).

tff(pred_def_365,type,
    sP506: ( nat * vEBT_VEBT * vEBT_VEBT * $o ) > $o ).

tff(pred_def_366,type,
    sP507: ( nat * vEBT_VEBT * vEBT_VEBT * $o ) > $o ).

tff(pred_def_367,type,
    sP508: ( nat * vEBT_VEBT * vEBT_VEBT * $o ) > $o ).

tff(pred_def_368,type,
    sP509: ( nat * vEBT_VEBT * vEBT_VEBT * $o ) > $o ).

tff(pred_def_369,type,
    sP510: ( nat * vEBT_VEBT * vEBT_VEBT * $o ) > $o ).

tff(pred_def_370,type,
    sP511: ( nat * vEBT_VEBT * vEBT_VEBT * $o ) > $o ).

tff(pred_def_371,type,
    sP512: ( nat * vEBT_VEBT * vEBT_VEBT * $o ) > $o ).

tff(pred_def_372,type,
    sP513: ( nat * vEBT_VEBT * vEBT_VEBT * $o ) > $o ).

tff(pred_def_373,type,
    sP514: ( nat * vEBT_VEBT * vEBT_VEBT * $o ) > $o ).

tff(pred_def_374,type,
    sP515: ( nat * vEBT_VEBT * vEBT_VEBT * $o ) > $o ).

tff(pred_def_375,type,
    sP516: ( nat * vEBT_VEBT * vEBT_VEBT * $o ) > $o ).

tff(pred_def_376,type,
    sP517: ( nat * vEBT_VEBT * vEBT_VEBT * $o ) > $o ).

tff(pred_def_377,type,
    sP518: ( nat * vEBT_VEBT * vEBT_VEBT * $o ) > $o ).

tff(pred_def_378,type,
    sP519: ( nat * vEBT_VEBT * vEBT_VEBT * $o ) > $o ).

tff(pred_def_379,type,
    sP520: ( nat * vEBT_VEBT * vEBT_VEBT * $o ) > $o ).

tff(pred_def_380,type,
    sP521: ( nat * vEBT_VEBT * vEBT_VEBT * $o ) > $o ).

tff(pred_def_381,type,
    sP522: ( nat * vEBT_VEBT * vEBT_VEBT * $o ) > $o ).

tff(pred_def_382,type,
    sP523: ( nat * vEBT_VEBT * vEBT_VEBT * $o ) > $o ).

tff(pred_def_383,type,
    sP524: ( nat * vEBT_VEBT * vEBT_VEBT * $o ) > $o ).

tff(pred_def_384,type,
    sP525: ( nat * vEBT_VEBT * vEBT_VEBT * $o ) > $o ).

tff(pred_def_385,type,
    sP526: ( nat * vEBT_VEBT * vEBT_VEBT * $o ) > $o ).

tff(pred_def_386,type,
    sP527: ( nat * vEBT_VEBT * vEBT_VEBT * $o ) > $o ).

tff(pred_def_387,type,
    sP528: ( nat * vEBT_VEBT * vEBT_VEBT * $o ) > $o ).

tff(pred_def_388,type,
    sP529: ( nat * vEBT_VEBT * vEBT_VEBT * $o ) > $o ).

tff(pred_def_389,type,
    sP530: ( nat * vEBT_VEBT * vEBT_VEBT * $o ) > $o ).

tff(pred_def_390,type,
    sP531: ( nat * vEBT_VEBT * vEBT_VEBT * $o ) > $o ).

tff(pred_def_391,type,
    sP532: ( nat * vEBT_VEBT * vEBT_VEBT * $o ) > $o ).

tff(pred_def_392,type,
    sP533: ( nat * vEBT_VEBT * vEBT_VEBT * $o ) > $o ).

tff(pred_def_393,type,
    sP534: ( nat * vEBT_VEBT * vEBT_VEBT * $o ) > $o ).

tff(pred_def_394,type,
    sP535: ( nat * vEBT_VEBT * vEBT_VEBT * $o ) > $o ).

tff(pred_def_395,type,
    sP536: ( nat * vEBT_VEBT * vEBT_VEBT * $o ) > $o ).

tff(pred_def_396,type,
    sP537: ( nat * vEBT_VEBT * vEBT_VEBT * $o ) > $o ).

tff(pred_def_397,type,
    sP538: ( nat * vEBT_VEBT * vEBT_VEBT * $o ) > $o ).

tff(pred_def_398,type,
    sP539: ( nat * vEBT_VEBT * vEBT_VEBT * $o ) > $o ).

tff(pred_def_399,type,
    sP540: ( nat * vEBT_VEBT * vEBT_VEBT * $o ) > $o ).

tff(pred_def_400,type,
    sP541: ( nat * vEBT_VEBT * vEBT_VEBT * $o ) > $o ).

tff(pred_def_401,type,
    sP542: ( nat * vEBT_VEBT * vEBT_VEBT * $o ) > $o ).

tff(pred_def_402,type,
    sP543: ( nat * vEBT_VEBT * vEBT_VEBT * $o ) > $o ).

tff(pred_def_403,type,
    sP544: ( nat * vEBT_VEBT * vEBT_VEBT * $o ) > $o ).

tff(pred_def_404,type,
    sP545: ( nat * vEBT_VEBT * vEBT_VEBT * $o ) > $o ).

tff(pred_def_405,type,
    sP546: ( nat * vEBT_VEBT * vEBT_VEBT * $o ) > $o ).

tff(pred_def_406,type,
    sP547: ( nat * vEBT_VEBT * vEBT_VEBT * $o ) > $o ).

tff(pred_def_407,type,
    sP548: ( nat * vEBT_VEBT * vEBT_VEBT * $o ) > $o ).

tff(pred_def_408,type,
    sP549: ( nat * vEBT_VEBT * vEBT_VEBT * $o ) > $o ).

tff(pred_def_409,type,
    sP550: ( nat * vEBT_VEBT * vEBT_VEBT * $o ) > $o ).

tff(pred_def_410,type,
    sP551: ( nat * vEBT_VEBT * vEBT_VEBT * $o ) > $o ).

tff(pred_def_411,type,
    sP552: ( nat * vEBT_VEBT * vEBT_VEBT * $o ) > $o ).

tff(pred_def_412,type,
    sP553: ( nat * vEBT_VEBT * vEBT_VEBT * $o ) > $o ).

tff(pred_def_413,type,
    sP554: ( nat * vEBT_VEBT * vEBT_VEBT * $o ) > $o ).

tff(pred_def_414,type,
    sP555: ( nat * vEBT_VEBT * vEBT_VEBT * $o ) > $o ).

tff(pred_def_415,type,
    sP556: ( nat * vEBT_VEBT * vEBT_VEBT * $o ) > $o ).

tff(pred_def_416,type,
    sP557: ( nat * vEBT_VEBT * vEBT_VEBT * $o ) > $o ).

tff(pred_def_417,type,
    sP558: ( nat * vEBT_VEBT * vEBT_VEBT * $o ) > $o ).

tff(pred_def_418,type,
    sP559: ( nat * vEBT_VEBT * vEBT_VEBT * $o ) > $o ).

tff(pred_def_419,type,
    sP560: ( nat * vEBT_VEBT * vEBT_VEBT * $o ) > $o ).

tff(pred_def_420,type,
    sP561: ( nat * vEBT_VEBT * vEBT_VEBT * $o ) > $o ).

tff(pred_def_421,type,
    sP562: ( nat * vEBT_VEBT * vEBT_VEBT * $o ) > $o ).

tff(pred_def_422,type,
    sP563: ( nat * vEBT_VEBT * vEBT_VEBT * $o ) > $o ).

tff(pred_def_423,type,
    sP564: ( nat * vEBT_VEBT * vEBT_VEBT * $o ) > $o ).

tff(pred_def_424,type,
    sP565: ( nat * vEBT_VEBT * vEBT_VEBT * $o ) > $o ).

tff(pred_def_425,type,
    sP566: ( nat * vEBT_VEBT * vEBT_VEBT * $o ) > $o ).

tff(pred_def_426,type,
    sP567: ( nat * vEBT_VEBT * vEBT_VEBT * $o ) > $o ).

tff(pred_def_427,type,
    sP568: ( nat * vEBT_VEBT * vEBT_VEBT * $o ) > $o ).

tff(pred_def_428,type,
    sP569: ( nat * vEBT_VEBT * vEBT_VEBT * $o ) > $o ).

tff(pred_def_429,type,
    sP570: ( nat * vEBT_VEBT * vEBT_VEBT * $o ) > $o ).

tff(pred_def_430,type,
    sP571: ( nat * vEBT_VEBT * vEBT_VEBT * $o ) > $o ).

tff(pred_def_431,type,
    sP572: ( nat * vEBT_VEBT * vEBT_VEBT * $o ) > $o ).

tff(pred_def_432,type,
    sP573: ( nat * vEBT_VEBT * vEBT_VEBT * $o ) > $o ).

tff(pred_def_433,type,
    sP574: ( nat * vEBT_VEBT * vEBT_VEBT * $o ) > $o ).

tff(pred_def_434,type,
    sP575: ( nat * vEBT_VEBT * vEBT_VEBT * $o ) > $o ).

tff(pred_def_435,type,
    sP576: ( nat * vEBT_VEBT * vEBT_VEBT * $o ) > $o ).

tff(pred_def_436,type,
    sP577: ( nat * vEBT_VEBT * vEBT_VEBT * $o ) > $o ).

tff(pred_def_437,type,
    sP578: ( nat * vEBT_VEBT * vEBT_VEBT * $o ) > $o ).

tff(pred_def_438,type,
    sP579: ( nat * vEBT_VEBT * vEBT_VEBT * $o ) > $o ).

tff(pred_def_439,type,
    sP580: ( nat * vEBT_VEBT * vEBT_VEBT * $o ) > $o ).

tff(pred_def_440,type,
    sP581: ( nat * vEBT_VEBT * vEBT_VEBT * $o ) > $o ).

tff(pred_def_441,type,
    sP582: ( nat * vEBT_VEBT * vEBT_VEBT * $o ) > $o ).

tff(pred_def_442,type,
    sP583: ( nat * vEBT_VEBT * vEBT_VEBT * $o ) > $o ).

tff(pred_def_443,type,
    sP584: ( nat * vEBT_VEBT * vEBT_VEBT * $o ) > $o ).

tff(pred_def_444,type,
    sP585: ( nat * vEBT_VEBT * vEBT_VEBT * $o ) > $o ).

tff(pred_def_445,type,
    sP586: ( nat * vEBT_VEBT * vEBT_VEBT * $o ) > $o ).

tff(pred_def_446,type,
    sP587: ( nat * vEBT_VEBT * vEBT_VEBT * $o ) > $o ).

tff(pred_def_447,type,
    sP588: ( nat * vEBT_VEBT * vEBT_VEBT * $o ) > $o ).

tff(pred_def_448,type,
    sP589: ( nat * vEBT_VEBT * vEBT_VEBT * $o ) > $o ).

tff(pred_def_449,type,
    sP590: ( nat * vEBT_VEBT * vEBT_VEBT * $o ) > $o ).

tff(pred_def_450,type,
    sP591: ( nat * vEBT_VEBT * vEBT_VEBT * $o ) > $o ).

tff(pred_def_451,type,
    sP592: ( nat * vEBT_VEBT * vEBT_VEBT * $o ) > $o ).

tff(pred_def_452,type,
    sP593: ( nat * vEBT_VEBT * vEBT_VEBT * $o ) > $o ).

tff(pred_def_453,type,
    sP594: ( nat * vEBT_VEBT * vEBT_VEBT * $o ) > $o ).

tff(pred_def_454,type,
    sP595: ( nat * vEBT_VEBT * vEBT_VEBT * $o ) > $o ).

tff(pred_def_455,type,
    sP596: ( nat * vEBT_VEBT * vEBT_VEBT * $o ) > $o ).

tff(pred_def_456,type,
    sP597: ( nat * vEBT_VEBT * vEBT_VEBT * $o ) > $o ).

tff(pred_def_457,type,
    sP598: ( nat * vEBT_VEBT * vEBT_VEBT * $o ) > $o ).

tff(pred_def_458,type,
    sP599: ( nat * vEBT_VEBT * vEBT_VEBT * $o ) > $o ).

tff(pred_def_459,type,
    sP600: ( nat * vEBT_VEBT * vEBT_VEBT * $o ) > $o ).

tff(pred_def_460,type,
    sP601: ( nat * vEBT_VEBT * vEBT_VEBT * $o ) > $o ).

tff(pred_def_461,type,
    sP602: ( nat * vEBT_VEBT * vEBT_VEBT * $o ) > $o ).

tff(pred_def_462,type,
    sP603: ( nat * vEBT_VEBT * vEBT_VEBT * $o ) > $o ).

tff(pred_def_463,type,
    sP604: ( nat * vEBT_VEBT * vEBT_VEBT * $o ) > $o ).

tff(pred_def_464,type,
    sP605: ( nat * vEBT_VEBT * vEBT_VEBT * $o ) > $o ).

tff(pred_def_465,type,
    sP606: ( nat * vEBT_VEBT * vEBT_VEBT * $o ) > $o ).

tff(pred_def_466,type,
    sP607: ( nat * vEBT_VEBT * vEBT_VEBT * $o ) > $o ).

tff(pred_def_467,type,
    sP608: ( nat * vEBT_VEBT * vEBT_VEBT * $o ) > $o ).

tff(pred_def_468,type,
    sP609: ( nat * vEBT_VEBT * vEBT_VEBT * $o ) > $o ).

tff(pred_def_469,type,
    sP610: ( nat * vEBT_VEBT * vEBT_VEBT * $o ) > $o ).

tff(pred_def_470,type,
    sP611: ( nat * vEBT_VEBT * vEBT_VEBT * $o ) > $o ).

tff(pred_def_471,type,
    sP612: ( nat * vEBT_VEBT * vEBT_VEBT * $o ) > $o ).

tff(pred_def_472,type,
    sP613: ( nat * vEBT_VEBT * vEBT_VEBT * $o ) > $o ).

tff(pred_def_473,type,
    sP614: ( nat * vEBT_VEBT * vEBT_VEBT * $o ) > $o ).

tff(pred_def_474,type,
    sP615: ( nat * vEBT_VEBT * vEBT_VEBT * $o ) > $o ).

tff(pred_def_475,type,
    sP616: ( nat * vEBT_VEBT * vEBT_VEBT * $o ) > $o ).

tff(pred_def_476,type,
    sP617: ( nat * vEBT_VEBT * vEBT_VEBT * $o ) > $o ).

tff(pred_def_477,type,
    sP618: $o > $o ).

tff(pred_def_478,type,
    sP619: $o > $o ).

tff(pred_def_479,type,
    sP651: ( int * fun(int,$o) * fun(int,$o) ) > $o ).

tff(pred_def_480,type,
    sP652: ( int * fun(int,$o) * int ) > $o ).

tff(pred_def_481,type,
    sP653: ( int * set(int) * int ) > $o ).

tff(pred_def_482,type,
    sP654: ( int * fun(int,$o) * int ) > $o ).

tff(pred_def_483,type,
    sP707: 
      !>[X0: $tType] : ( ( X0 * fun(X0,$o) * X0 ) > $o ) ).

tff(pred_def_484,type,
    sK717: vEBT_VEBT > $o ).

tff(pred_def_485,type,
    sK718: vEBT_VEBT > $o ).

tff(pred_def_486,type,
    sP722: ( nat * nat * vEBT_VEBT * list(vEBT_VEBT) * nat * nat * vEBT_VEBT * nat ) > $o ).

tff(pred_def_487,type,
    sP729: $o > $o ).

tff(pred_def_488,type,
    sP730: $o > $o ).

tff(pred_def_489,type,
    sP731: ( nat * list(vEBT_VEBT) * nat * nat ) > $o ).

tff(pred_def_490,type,
    sK777: ( vEBT_VEBT * nat * option(nat) ) > $o ).

tff(pred_def_491,type,
    sK778: ( vEBT_VEBT * nat * option(nat) ) > $o ).

tff(pred_def_492,type,
    sK793: ( vEBT_VEBT * nat * option(nat) ) > $o ).

tff(pred_def_493,type,
    sK794: ( vEBT_VEBT * nat * option(nat) ) > $o ).

tff(pred_def_494,type,
    sP795: ( list(vEBT_VEBT) * product_prod(nat,nat) * vEBT_VEBT * option(nat) * nat * vEBT_VEBT ) > $o ).

tff(pred_def_495,type,
    sP796: ( product_prod(nat,nat) * list(vEBT_VEBT) * vEBT_VEBT * option(nat) * nat * vEBT_VEBT ) > $o ).

tff(pred_def_496,type,
    sP797: ( vEBT_VEBT * list(vEBT_VEBT) * nat * option(nat) * nat * vEBT_VEBT ) > $o ).

tff(pred_def_497,type,
    sP798: ( $o * $o * option(nat) * nat * vEBT_VEBT ) > $o ).

tff(pred_def_498,type,
    sP799: ( list(vEBT_VEBT) * vEBT_VEBT * nat * nat * option(nat) * nat ) > $o ).

tff(pred_def_499,type,
    sP800: $o > $o ).

tff(pred_def_500,type,
    sP801: $o > $o ).

tff(pred_def_501,type,
    sP802: $o > $o ).

tff(pred_def_502,type,
    sP803: $o > $o ).

tff(pred_def_503,type,
    sP805: ( vEBT_VEBT * nat * option(nat) * $o ) > $o ).

tff(pred_def_504,type,
    sP806: ( vEBT_VEBT * nat * option(nat) * $o ) > $o ).

tff(pred_def_505,type,
    sP807: ( vEBT_VEBT * nat * option(nat) * $o ) > $o ).

tff(pred_def_506,type,
    sP808: ( vEBT_VEBT * nat * option(nat) * $o ) > $o ).

tff(pred_def_507,type,
    sP809: ( vEBT_VEBT * nat * option(nat) * $o ) > $o ).

tff(pred_def_508,type,
    sP810: ( vEBT_VEBT * nat * option(nat) * $o ) > $o ).

tff(pred_def_509,type,
    sP811: ( vEBT_VEBT * nat * option(nat) * $o ) > $o ).

tff(pred_def_510,type,
    sP812: ( vEBT_VEBT * nat * option(nat) * $o ) > $o ).

tff(pred_def_511,type,
    sP813: ( vEBT_VEBT * nat * option(nat) * $o ) > $o ).

tff(pred_def_512,type,
    sP814: ( vEBT_VEBT * nat * option(nat) * $o ) > $o ).

tff(pred_def_513,type,
    sP815: ( vEBT_VEBT * nat * option(nat) * $o ) > $o ).

tff(pred_def_514,type,
    sP816: ( vEBT_VEBT * nat * option(nat) * $o ) > $o ).

tff(pred_def_515,type,
    sP817: ( vEBT_VEBT * nat * option(nat) * $o ) > $o ).

tff(pred_def_516,type,
    sP818: ( vEBT_VEBT * nat * option(nat) * $o ) > $o ).

tff(pred_def_517,type,
    sP819: ( vEBT_VEBT * nat * option(nat) * $o ) > $o ).

tff(pred_def_518,type,
    sP820: ( vEBT_VEBT * nat * option(nat) * $o ) > $o ).

tff(pred_def_519,type,
    sP821: ( vEBT_VEBT * nat * option(nat) * $o ) > $o ).

tff(pred_def_520,type,
    sP822: ( vEBT_VEBT * nat * option(nat) * $o ) > $o ).

tff(pred_def_521,type,
    sP823: ( vEBT_VEBT * nat * option(nat) * $o ) > $o ).

tff(pred_def_522,type,
    sP824: ( vEBT_VEBT * nat * option(nat) * $o ) > $o ).

tff(pred_def_523,type,
    sP825: ( vEBT_VEBT * nat * option(nat) * $o ) > $o ).

tff(pred_def_524,type,
    sP826: ( vEBT_VEBT * nat * option(nat) * $o ) > $o ).

tff(pred_def_525,type,
    sP827: ( vEBT_VEBT * nat * option(nat) * $o ) > $o ).

tff(pred_def_526,type,
    sP828: ( vEBT_VEBT * nat * option(nat) * $o ) > $o ).

tff(pred_def_527,type,
    sP829: ( vEBT_VEBT * nat * option(nat) * $o ) > $o ).

tff(pred_def_528,type,
    sP830: ( vEBT_VEBT * nat * option(nat) * $o ) > $o ).

tff(pred_def_529,type,
    sP831: ( vEBT_VEBT * nat * option(nat) * $o ) > $o ).

tff(pred_def_530,type,
    sP832: ( vEBT_VEBT * nat * option(nat) * $o ) > $o ).

tff(pred_def_531,type,
    sP833: ( vEBT_VEBT * nat * option(nat) * $o ) > $o ).

tff(pred_def_532,type,
    sP834: ( vEBT_VEBT * nat * option(nat) * $o ) > $o ).

tff(pred_def_533,type,
    sP835: ( vEBT_VEBT * nat * option(nat) * $o ) > $o ).

tff(pred_def_534,type,
    sP836: ( vEBT_VEBT * nat * option(nat) * $o ) > $o ).

tff(pred_def_535,type,
    sP837: ( vEBT_VEBT * nat * option(nat) * $o ) > $o ).

tff(pred_def_536,type,
    sP850: ( nat * nat * nat * nat * vEBT_VEBT * list(vEBT_VEBT) * nat ) > $o ).

tff(pred_def_537,type,
    sP851: ( nat * nat * nat * vEBT_VEBT * list(vEBT_VEBT) * nat ) > $o ).

tff(pred_def_538,type,
    sP852: ( nat * nat * nat * vEBT_VEBT * list(vEBT_VEBT) * nat ) > $o ).

tff(pred_def_539,type,
    sP853: ( nat * nat * nat * nat * vEBT_VEBT * list(vEBT_VEBT) * nat ) > $o ).

tff(pred_def_540,type,
    sP854: ( nat * nat * nat * vEBT_VEBT * list(vEBT_VEBT) * nat ) > $o ).

tff(pred_def_541,type,
    sP855: ( nat * nat * nat * vEBT_VEBT * list(vEBT_VEBT) * nat ) > $o ).

tff(pred_def_542,type,
    sP856: ( nat * nat * nat * vEBT_VEBT * list(vEBT_VEBT) * nat ) > $o ).

tff(pred_def_543,type,
    sP857: ( nat * nat * nat * vEBT_VEBT * list(vEBT_VEBT) * nat ) > $o ).

tff(pred_def_544,type,
    sP858: ( nat * nat * nat * vEBT_VEBT * list(vEBT_VEBT) * nat ) > $o ).

tff(pred_def_545,type,
    sP859: ( nat * nat * nat * vEBT_VEBT * list(vEBT_VEBT) * nat ) > $o ).

tff(pred_def_546,type,
    sP860: ( nat * nat * nat * vEBT_VEBT * list(vEBT_VEBT) * nat ) > $o ).

tff(pred_def_547,type,
    sP883: ( vEBT_VEBT * nat * nat ) > $o ).

tff(pred_def_548,type,
    sP884: ( vEBT_VEBT * nat * nat ) > $o ).

tff(pred_def_549,type,
    sP885: ( vEBT_VEBT * nat ) > $o ).

tff(pred_def_550,type,
    sP886: ( vEBT_VEBT * nat ) > $o ).

tff(pred_def_551,type,
    sP887: vEBT_VEBT > $o ).

tff(pred_def_552,type,
    sK888: vEBT_VEBT > $o ).

tff(pred_def_553,type,
    sK889: vEBT_VEBT > $o ).

tff(pred_def_554,type,
    sK890: vEBT_VEBT > $o ).

tff(pred_def_555,type,
    sK891: vEBT_VEBT > $o ).

tff(pred_def_556,type,
    sP900: ( $o * $o * vEBT_VEBT ) > $o ).

tff(pred_def_557,type,
    sK901: vEBT_VEBT > $o ).

tff(pred_def_558,type,
    sK902: vEBT_VEBT > $o ).

tff(pred_def_559,type,
    sP910: $o > $o ).

tff(pred_def_560,type,
    sP911: $o > $o ).

tff(pred_def_561,type,
    sP912: ( vEBT_VEBT * $o ) > $o ).

tff(pred_def_562,type,
    sP913: ( vEBT_VEBT * $o ) > $o ).

tff(pred_def_563,type,
    sP914: ( vEBT_VEBT * $o ) > $o ).

tff(pred_def_564,type,
    sP915: ( vEBT_VEBT * $o ) > $o ).

tff(pred_def_565,type,
    sP916: ( vEBT_VEBT * $o ) > $o ).

tff(pred_def_566,type,
    sP917: ( vEBT_VEBT * $o ) > $o ).

tff(pred_def_567,type,
    sP918: ( vEBT_VEBT * $o ) > $o ).

tff(pred_def_568,type,
    sP919: ( vEBT_VEBT * $o ) > $o ).

tff(pred_def_569,type,
    sK930: ( vEBT_VEBT * nat * nat ) > $o ).

tff(pred_def_570,type,
    sK931: ( vEBT_VEBT * nat * nat ) > $o ).

tff(pred_def_571,type,
    sK946: ( vEBT_VEBT * nat * nat ) > $o ).

tff(pred_def_572,type,
    sK947: ( vEBT_VEBT * nat * nat ) > $o ).

tff(pred_def_573,type,
    sP948: ( nat * list(vEBT_VEBT) * vEBT_VEBT * nat * nat * vEBT_VEBT ) > $o ).

tff(pred_def_574,type,
    sP949: ( list(vEBT_VEBT) * product_prod(nat,nat) * vEBT_VEBT * nat * nat * vEBT_VEBT ) > $o ).

tff(pred_def_575,type,
    sP950: ( $o * $o * nat * nat * vEBT_VEBT ) > $o ).

tff(pred_def_576,type,
    sP951: ( $o * $o * nat * nat ) > $o ).

tff(pred_def_577,type,
    sP952: ( $o * $o * vEBT_VEBT ) > $o ).

tff(pred_def_578,type,
    sP954: ( nat * nat ) > $o ).

tff(pred_def_579,type,
    sP955: ( vEBT_VEBT * nat * nat * $o ) > $o ).

tff(pred_def_580,type,
    sP956: ( vEBT_VEBT * nat * nat * $o ) > $o ).

tff(pred_def_581,type,
    sP957: ( vEBT_VEBT * nat * nat * $o ) > $o ).

tff(pred_def_582,type,
    sP958: ( vEBT_VEBT * nat * nat * $o ) > $o ).

tff(pred_def_583,type,
    sP959: ( vEBT_VEBT * nat * nat * $o ) > $o ).

tff(pred_def_584,type,
    sP960: ( vEBT_VEBT * nat * nat * $o ) > $o ).

tff(pred_def_585,type,
    sP961: ( vEBT_VEBT * nat * nat * $o ) > $o ).

tff(pred_def_586,type,
    sP962: ( vEBT_VEBT * nat * nat * $o ) > $o ).

tff(pred_def_587,type,
    sP963: ( vEBT_VEBT * nat * nat * $o ) > $o ).

tff(pred_def_588,type,
    sP964: ( vEBT_VEBT * nat * nat * $o ) > $o ).

tff(pred_def_589,type,
    sP965: ( vEBT_VEBT * nat * nat * $o ) > $o ).

tff(pred_def_590,type,
    sP966: ( vEBT_VEBT * nat * nat * $o ) > $o ).

tff(pred_def_591,type,
    sP967: ( vEBT_VEBT * nat * nat * $o ) > $o ).

tff(pred_def_592,type,
    sP968: ( vEBT_VEBT * nat * nat * $o ) > $o ).

tff(pred_def_593,type,
    sP969: ( vEBT_VEBT * nat * nat * $o ) > $o ).

tff(pred_def_594,type,
    sP970: ( vEBT_VEBT * nat * nat * $o ) > $o ).

tff(pred_def_595,type,
    sP971: ( vEBT_VEBT * nat * nat * $o ) > $o ).

tff(pred_def_596,type,
    sP972: ( vEBT_VEBT * nat * nat * $o ) > $o ).

tff(pred_def_597,type,
    sP973: ( vEBT_VEBT * nat * nat * $o ) > $o ).

tff(pred_def_598,type,
    sP974: ( vEBT_VEBT * nat * nat * $o ) > $o ).

tff(pred_def_599,type,
    sP975: ( vEBT_VEBT * nat * nat * $o ) > $o ).

tff(pred_def_600,type,
    sP976: ( vEBT_VEBT * nat * nat * $o ) > $o ).

tff(pred_def_601,type,
    sP977: ( vEBT_VEBT * nat * nat * $o ) > $o ).

tff(pred_def_602,type,
    sP978: ( vEBT_VEBT * nat * nat * $o ) > $o ).

tff(pred_def_603,type,
    sP979: ( vEBT_VEBT * nat * nat * $o ) > $o ).

tff(pred_def_604,type,
    sP980: ( vEBT_VEBT * nat * nat * $o ) > $o ).

tff(pred_def_605,type,
    sP981: ( vEBT_VEBT * nat * nat * $o ) > $o ).

tff(pred_def_606,type,
    sP982: ( vEBT_VEBT * nat * nat * $o ) > $o ).

tff(pred_def_607,type,
    sP983: ( vEBT_VEBT * nat * nat * $o ) > $o ).

tff(pred_def_608,type,
    sP984: ( vEBT_VEBT * nat * nat * $o ) > $o ).

tff(pred_def_609,type,
    sP985: ( vEBT_VEBT * nat * nat * $o ) > $o ).

tff(pred_def_610,type,
    sP986: ( vEBT_VEBT * nat * nat * $o ) > $o ).

tff(pred_def_611,type,
    sP987: ( vEBT_VEBT * nat * nat * $o ) > $o ).

tff(pred_def_612,type,
    sP988: ( vEBT_VEBT * nat * nat * $o ) > $o ).

tff(pred_def_613,type,
    sP989: ( vEBT_VEBT * nat * nat * $o ) > $o ).

tff(pred_def_614,type,
    sP990: ( vEBT_VEBT * nat * nat * $o ) > $o ).

tff(pred_def_615,type,
    sP991: ( vEBT_VEBT * nat * nat * $o ) > $o ).

tff(pred_def_616,type,
    sP992: ( vEBT_VEBT * nat * nat * $o ) > $o ).

tff(pred_def_617,type,
    sP993: ( vEBT_VEBT * nat * nat * $o ) > $o ).

tff(pred_def_618,type,
    sP994: ( vEBT_VEBT * nat * nat * $o ) > $o ).

tff(pred_def_619,type,
    sP995: ( vEBT_VEBT * nat * nat * $o ) > $o ).

tff(pred_def_620,type,
    sP996: ( vEBT_VEBT * nat * nat * $o ) > $o ).

tff(pred_def_621,type,
    sP997: ( vEBT_VEBT * nat * nat * $o ) > $o ).

tff(pred_def_622,type,
    sP998: ( vEBT_VEBT * nat * nat * $o ) > $o ).

tff(pred_def_623,type,
    sP999: ( vEBT_VEBT * nat * nat * $o ) > $o ).

tff(pred_def_624,type,
    sP1000: ( vEBT_VEBT * nat * nat * $o ) > $o ).

tff(pred_def_625,type,
    sP1001: ( vEBT_VEBT * nat * nat * $o ) > $o ).

tff(pred_def_626,type,
    sP1002: ( vEBT_VEBT * nat * nat * $o ) > $o ).

tff(pred_def_627,type,
    sP1003: ( vEBT_VEBT * nat * nat * $o ) > $o ).

tff(pred_def_628,type,
    sP1004: ( vEBT_VEBT * nat * nat * $o ) > $o ).

tff(pred_def_629,type,
    sP1005: ( vEBT_VEBT * nat * nat * $o ) > $o ).

tff(pred_def_630,type,
    sP1006: ( vEBT_VEBT * nat * nat * $o ) > $o ).

tff(pred_def_631,type,
    sP1007: ( vEBT_VEBT * nat * nat * $o ) > $o ).

tff(pred_def_632,type,
    sP1008: ( vEBT_VEBT * nat * nat * $o ) > $o ).

tff(pred_def_633,type,
    sK1009: ( nat * vEBT_VEBT ) > $o ).

tff(pred_def_634,type,
    sK1018: vEBT_VEBT > $o ).

tff(pred_def_635,type,
    sP1019: $o > $o ).

tff(pred_def_636,type,
    sP1020: $o > $o ).

tff(pred_def_637,type,
    sK1036: vEBT_VEBT > $o ).

tff(pred_def_638,type,
    sK1037: vEBT_VEBT > $o ).

tff(pred_def_639,type,
    sP1038: vEBT_VEBT > $o ).

tff(pred_def_640,type,
    sP1039: ( nat * nat * nat * vEBT_VEBT * list(vEBT_VEBT) * vEBT_VEBT * nat * nat ) > $o ).

tff(pred_def_641,type,
    sP1040: vEBT_VEBT > $o ).

tff(pred_def_642,type,
    sP1041: vEBT_VEBT > $o ).

tff(pred_def_643,type,
    sP1051: $o > $o ).

tff(pred_def_644,type,
    sP1052: $o > $o ).

tff(pred_def_645,type,
    sP1053: ( nat * nat * nat ) > $o ).

tff(pred_def_646,type,
    sP1054: ( nat * nat * list(vEBT_VEBT) * nat ) > $o ).

tff(pred_def_647,type,
    sP1055: ( nat * nat ) > $o ).

tff(pred_def_648,type,
    sP1056: ( nat * nat ) > $o ).

tff(pred_def_649,type,
    sK1059: product_prod(vEBT_VEBT,nat) > $o ).

tff(pred_def_650,type,
    sK1061: product_prod(vEBT_VEBT,nat) > $o ).

tff(pred_def_651,type,
    sK1085: ( vEBT_VEBT * nat * nat ) > $o ).

tff(pred_def_652,type,
    sK1086: ( vEBT_VEBT * nat * nat ) > $o ).

tff(pred_def_653,type,
    sP1098: ( nat * nat * nat * list(vEBT_VEBT) * vEBT_VEBT * nat * nat * vEBT_VEBT ) > $o ).

tff(pred_def_654,type,
    sP1099: ( vEBT_VEBT * list(vEBT_VEBT) * option(product_prod(nat,nat)) * nat * nat * vEBT_VEBT ) > $o ).

tff(pred_def_655,type,
    sP1100: ( list(vEBT_VEBT) * vEBT_VEBT * nat * nat * nat * vEBT_VEBT ) > $o ).

tff(pred_def_656,type,
    sP1101: $o > $o ).

tff(pred_def_657,type,
    sP1102: $o > $o ).

tff(pred_def_658,type,
    sP1103: $o > $o ).

tff(pred_def_659,type,
    sP1104: $o > $o ).

tff(pred_def_660,type,
    sP1105: ( nat * nat * list(vEBT_VEBT) * nat ) > $o ).

tff(pred_def_661,type,
    sP1146: ( nat * nat * nat ) > $o ).

tff(pred_def_662,type,
    sP1147: ( nat * nat * nat ) > $o ).

tff(pred_def_663,type,
    sP1148: ( nat * nat * nat ) > $o ).

tff(pred_def_664,type,
    sP1149: ( nat * nat * nat * list(vEBT_VEBT) ) > $o ).

tff(pred_def_665,type,
    sP1150: ( nat * nat ) > $o ).

tff(pred_def_666,type,
    sP1151: ( nat * nat ) > $o ).

tff(pred_def_667,type,
    sP1152: ( $o * $o ) > $o ).

tff(pred_def_668,type,
    sP1153: ( $o * $o ) > $o ).

tff(pred_def_669,type,
    sP1154: ( $o * $o ) > $o ).

tff(pred_def_670,type,
    sP1155: ( $o * $o ) > $o ).

tff(pred_def_671,type,
    sP1156: ( $o * $o ) > $o ).

tff(pred_def_672,type,
    sP1174: ( nat * list(vEBT_VEBT) * nat ) > $o ).

tff(pred_def_673,type,
    sP1185: ( fun(int,$o) * int * int ) > $o ).

tff(pred_def_674,type,
    sP1186: ( fun(int,$o) * int * int ) > $o ).

tff(pred_def_675,type,
    sK1204: product_prod(vEBT_VEBT,nat) > $o ).

tff(pred_def_676,type,
    sK1206: product_prod(vEBT_VEBT,nat) > $o ).

tff(pred_def_677,type,
    sP1233: ( option(num) * num * num ) > $o ).

tff(pred_def_678,type,
    sP1234: ( option(num) * num * num ) > $o ).

tff(pred_def_679,type,
    sP1235: ( option(num) * num * num ) > $o ).

tff(pred_def_680,type,
    sP1236: ( num * option(num) * num * num ) > $o ).

tff(pred_def_681,type,
    sP1238: ( num * option(num) * num * num ) > $o ).

tff(pred_def_682,type,
    sP1239: ( num * option(num) * num * num ) > $o ).

tff(pred_def_683,type,
    sP1244: ( num * option(num) * num ) > $o ).

tff(pred_def_684,type,
    sK1249: ( vEBT_VEBT * option(nat) * nat ) > $o ).

tff(pred_def_685,type,
    sK1250: ( vEBT_VEBT * option(nat) * nat ) > $o ).

tff(pred_def_686,type,
    sP1251: ( nat * option(nat) * vEBT_VEBT ) > $o ).

tff(pred_def_687,type,
    sP1252: ( option(nat) * vEBT_VEBT ) > $o ).

tff(pred_def_688,type,
    sK1254: vEBT_VEBT > $o ).

tff(pred_def_689,type,
    sK1255: vEBT_VEBT > $o ).

tff(pred_def_690,type,
    sP1259: ( $o * $o * nat * option(nat) * vEBT_VEBT ) > $o ).

tff(pred_def_691,type,
    sP1271: $o > $o ).

tff(pred_def_692,type,
    sP1272: $o > $o ).

tff(pred_def_693,type,
    sP1273: ( vEBT_VEBT * $o ) > $o ).

tff(pred_def_694,type,
    sP1274: ( vEBT_VEBT * $o ) > $o ).

tff(pred_def_695,type,
    sP1275: ( vEBT_VEBT * $o ) > $o ).

tff(pred_def_696,type,
    sP1276: ( vEBT_VEBT * $o ) > $o ).

tff(pred_def_697,type,
    sP1277: ( vEBT_VEBT * $o ) > $o ).

tff(pred_def_698,type,
    sP1278: ( vEBT_VEBT * $o ) > $o ).

tff(pred_def_699,type,
    sP1279: ( vEBT_VEBT * $o ) > $o ).

tff(pred_def_700,type,
    sP1280: ( vEBT_VEBT * $o ) > $o ).

tff(pred_def_701,type,
    sP1281: ( vEBT_VEBT * $o ) > $o ).

tff(pred_def_702,type,
    sP1282: ( vEBT_VEBT * $o ) > $o ).

tff(pred_def_703,type,
    sP1283: ( vEBT_VEBT * $o ) > $o ).

tff(pred_def_704,type,
    sP1284: ( vEBT_VEBT * $o ) > $o ).

tff(pred_def_705,type,
    sP1285: ( vEBT_VEBT * $o ) > $o ).

tff(pred_def_706,type,
    sP1286: ( vEBT_VEBT * $o ) > $o ).

tff(pred_def_707,type,
    sP1287: ( vEBT_VEBT * $o ) > $o ).

tff(pred_def_708,type,
    sP1288: ( vEBT_VEBT * $o ) > $o ).

tff(pred_def_709,type,
    sP1333: ( nat * nat * list(vEBT_VEBT) * nat * nat * vEBT_VEBT * nat ) > $o ).

tff(pred_def_710,type,
    sK1334: vEBT_VEBT > $o ).

tff(pred_def_711,type,
    sK1335: vEBT_VEBT > $o ).

tff(pred_def_712,type,
    sP1337: $o > $o ).

tff(pred_def_713,type,
    sP1338: $o > $o ).

tff(pred_def_714,type,
    sP1351: ( nat * vEBT_VEBT * list(vEBT_VEBT) * nat * nat * nat ) > $o ).

tff(pred_def_715,type,
    sP1352: ( nat * vEBT_VEBT * list(vEBT_VEBT) * nat * nat * nat ) > $o ).

tff(pred_def_716,type,
    sP1353: ( nat * vEBT_VEBT * list(vEBT_VEBT) * nat * nat * nat ) > $o ).

tff(pred_def_717,type,
    sP1354: ( nat * vEBT_VEBT * list(vEBT_VEBT) * nat * nat * nat ) > $o ).

tff(pred_def_718,type,
    sP1355: ( nat * vEBT_VEBT * list(vEBT_VEBT) * nat * nat * nat ) > $o ).

tff(pred_def_719,type,
    sP1356: ( nat * vEBT_VEBT * list(vEBT_VEBT) * nat * nat * nat ) > $o ).

tff(pred_def_720,type,
    sP1357: ( nat * vEBT_VEBT * list(vEBT_VEBT) * nat * nat * nat ) > $o ).

tff(pred_def_721,type,
    sP1358: ( nat * vEBT_VEBT * list(vEBT_VEBT) * nat * nat * nat ) > $o ).

tff(pred_def_722,type,
    sP1359: ( nat * vEBT_VEBT * list(vEBT_VEBT) * nat * nat ) > $o ).

tff(pred_def_723,type,
    sP1360: ( nat * vEBT_VEBT * list(vEBT_VEBT) * nat * nat * nat ) > $o ).

tff(pred_def_724,type,
    sP1361: ( nat * vEBT_VEBT * list(vEBT_VEBT) * nat * nat * nat ) > $o ).

tff(pred_def_725,type,
    sP1362: ( nat * vEBT_VEBT * list(vEBT_VEBT) * nat * nat * nat ) > $o ).

tff(pred_def_726,type,
    sP1363: ( nat * vEBT_VEBT * list(vEBT_VEBT) * nat * nat * nat ) > $o ).

tff(pred_def_727,type,
    sP1364: ( nat * vEBT_VEBT * list(vEBT_VEBT) * nat * nat * nat ) > $o ).

tff(pred_def_728,type,
    sP1365: ( nat * vEBT_VEBT * list(vEBT_VEBT) * nat * nat * nat ) > $o ).

tff(pred_def_729,type,
    sP1366: ( nat * vEBT_VEBT * list(vEBT_VEBT) * nat * nat * nat ) > $o ).

tff(pred_def_730,type,
    sK1393: ( vEBT_VEBT * vEBT_VEBT ) > $o ).

tff(pred_def_731,type,
    sK1394: ( vEBT_VEBT * vEBT_VEBT ) > $o ).

tff(pred_def_732,type,
    sP1396: ( nat * list(vEBT_VEBT) * option(product_prod(nat,nat)) * nat * vEBT_VEBT * vEBT_VEBT * extended_enat ) > $o ).

tff(pred_def_733,type,
    sP1397: $o > $o ).

tff(pred_def_734,type,
    sP1398: $o > $o ).

tff(pred_def_735,type,
    sP1399: $o > $o ).

tff(pred_def_736,type,
    sP1400: $o > $o ).

tff(pred_def_737,type,
    sP1423: fun(int,$o) > $o ).

tff(pred_def_738,type,
    sP1424: ( fun(int,$o) * set(int) * fun(int,$o) * int ) > $o ).

tff(pred_def_739,type,
    sP1425: ( int * int * fun(int,$o) * fun(int,$o) ) > $o ).

tff(pred_def_740,type,
    sP1426: ( int * fun(int,$o) ) > $o ).

tff(pred_def_741,type,
    sP1427: ( int * int * fun(int,$o) * int ) > $o ).

tff(pred_def_742,type,
    sK1453: ( option(nat) * nat * vEBT_VEBT ) > $o ).

tff(pred_def_743,type,
    sK1454: ( option(nat) * nat * vEBT_VEBT ) > $o ).

tff(pred_def_744,type,
    sK1455: ( option(nat) * nat * vEBT_VEBT ) > $o ).

tff(pred_def_745,type,
    sK1456: ( option(nat) * nat * vEBT_VEBT ) > $o ).

tff(pred_def_746,type,
    sK1465: ( option(nat) * nat * vEBT_VEBT ) > $o ).

tff(pred_def_747,type,
    sK1466: ( option(nat) * nat * vEBT_VEBT ) > $o ).

tff(pred_def_748,type,
    sP1470: ( $o * $o * vEBT_VEBT * nat * option(nat) ) > $o ).

tff(pred_def_749,type,
    sP1471: ( nat * vEBT_VEBT * nat * list(vEBT_VEBT) * nat * vEBT_VEBT * nat * option(nat) ) > $o ).

tff(pred_def_750,type,
    sP1472: ( product_prod(nat,nat) * vEBT_VEBT * list(vEBT_VEBT) * vEBT_VEBT * nat * option(nat) ) > $o ).

tff(pred_def_751,type,
    sP1473: ( $o * $o * vEBT_VEBT * nat * option(nat) ) > $o ).

tff(pred_def_752,type,
    sP1474: ( list(vEBT_VEBT) * nat * vEBT_VEBT * vEBT_VEBT * nat * option(nat) ) > $o ).

tff(pred_def_753,type,
    sP1475: $o > $o ).

tff(pred_def_754,type,
    sP1476: $o > $o ).

tff(pred_def_755,type,
    sP1477: $o > $o ).

tff(pred_def_756,type,
    sP1478: $o > $o ).

tff(pred_def_757,type,
    sP1480: ( option(nat) * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_758,type,
    sP1481: ( option(nat) * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_759,type,
    sP1482: ( option(nat) * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_760,type,
    sP1483: ( option(nat) * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_761,type,
    sP1484: ( option(nat) * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_762,type,
    sP1485: ( option(nat) * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_763,type,
    sP1486: ( option(nat) * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_764,type,
    sP1487: ( option(nat) * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_765,type,
    sP1488: ( option(nat) * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_766,type,
    sP1489: ( option(nat) * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_767,type,
    sP1490: ( option(nat) * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_768,type,
    sP1491: ( option(nat) * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_769,type,
    sP1492: ( option(nat) * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_770,type,
    sP1493: ( option(nat) * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_771,type,
    sP1494: ( option(nat) * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_772,type,
    sP1495: ( option(nat) * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_773,type,
    sP1496: ( option(nat) * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_774,type,
    sP1497: ( option(nat) * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_775,type,
    sP1498: ( option(nat) * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_776,type,
    sP1499: ( option(nat) * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_777,type,
    sP1500: ( option(nat) * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_778,type,
    sP1501: ( option(nat) * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_779,type,
    sP1502: ( option(nat) * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_780,type,
    sP1503: ( option(nat) * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_781,type,
    sP1504: ( option(nat) * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_782,type,
    sP1505: ( option(nat) * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_783,type,
    sP1506: ( option(nat) * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_784,type,
    sP1507: ( option(nat) * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_785,type,
    sP1508: ( option(nat) * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_786,type,
    sP1509: ( option(nat) * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_787,type,
    sP1510: ( option(nat) * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_788,type,
    sP1511: ( option(nat) * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_789,type,
    sP1512: ( option(nat) * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_790,type,
    sP1513: ( option(nat) * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_791,type,
    sP1514: ( option(nat) * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_792,type,
    sP1515: ( option(nat) * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_793,type,
    sP1516: ( option(nat) * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_794,type,
    sP1517: ( option(nat) * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_795,type,
    sP1518: ( option(nat) * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_796,type,
    sP1519: ( option(nat) * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_797,type,
    sP1520: ( option(nat) * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_798,type,
    sP1521: ( option(nat) * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_799,type,
    sP1522: ( option(nat) * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_800,type,
    sP1523: ( option(nat) * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_801,type,
    sP1524: ( option(nat) * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_802,type,
    sP1525: ( option(nat) * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_803,type,
    sP1526: ( option(nat) * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_804,type,
    sP1527: ( option(nat) * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_805,type,
    sP1528: ( option(nat) * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_806,type,
    sP1529: ( option(nat) * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_807,type,
    sP1530: ( option(nat) * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_808,type,
    sP1531: ( option(nat) * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_809,type,
    sP1532: ( option(nat) * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_810,type,
    sP1533: ( option(nat) * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_811,type,
    sP1534: ( option(nat) * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_812,type,
    sP1535: ( option(nat) * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_813,type,
    sP1536: ( option(nat) * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_814,type,
    sP1537: ( option(nat) * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_815,type,
    sP1538: ( option(nat) * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_816,type,
    sP1539: ( option(nat) * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_817,type,
    sP1540: ( option(nat) * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_818,type,
    sP1541: ( option(nat) * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_819,type,
    sP1542: ( option(nat) * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_820,type,
    sP1543: ( option(nat) * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_821,type,
    sP1544: ( option(nat) * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_822,type,
    sP1545: ( option(nat) * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_823,type,
    sP1546: ( option(nat) * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_824,type,
    sP1547: ( option(nat) * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_825,type,
    sP1548: ( option(nat) * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_826,type,
    sP1549: ( option(nat) * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_827,type,
    sP1550: ( option(nat) * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_828,type,
    sP1551: ( option(nat) * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_829,type,
    sP1552: ( option(nat) * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_830,type,
    sP1553: ( option(nat) * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_831,type,
    sP1554: ( option(nat) * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_832,type,
    sP1555: ( option(nat) * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_833,type,
    sP1556: ( option(nat) * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_834,type,
    sP1557: ( option(nat) * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_835,type,
    sP1558: ( option(nat) * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_836,type,
    sP1559: ( option(nat) * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_837,type,
    sP1560: ( option(nat) * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_838,type,
    sP1561: ( option(nat) * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_839,type,
    sP1562: ( option(nat) * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_840,type,
    sP1563: ( option(nat) * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_841,type,
    sP1564: ( option(nat) * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_842,type,
    sP1565: ( option(nat) * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_843,type,
    sP1566: ( option(nat) * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_844,type,
    sP1567: ( option(nat) * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_845,type,
    sP1568: ( option(nat) * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_846,type,
    sP1569: ( option(nat) * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_847,type,
    sP1570: ( option(nat) * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_848,type,
    sP1571: ( option(nat) * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_849,type,
    sP1572: ( option(nat) * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_850,type,
    sP1573: ( option(nat) * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_851,type,
    sP1574: ( option(nat) * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_852,type,
    sP1575: ( option(nat) * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_853,type,
    sP1576: ( option(nat) * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_854,type,
    sP1577: ( option(nat) * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_855,type,
    sP1578: ( option(nat) * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_856,type,
    sK1604: ( nat * nat * vEBT_VEBT ) > $o ).

tff(pred_def_857,type,
    sK1605: ( nat * nat * vEBT_VEBT ) > $o ).

tff(pred_def_858,type,
    sP1609: ( nat * list(vEBT_VEBT) * nat * vEBT_VEBT * nat * vEBT_VEBT * nat * nat ) > $o ).

tff(pred_def_859,type,
    sP1610: ( $o * $o * vEBT_VEBT * nat * nat ) > $o ).

tff(pred_def_860,type,
    sP1611: ( list(vEBT_VEBT) * product_prod(nat,nat) * vEBT_VEBT * vEBT_VEBT * nat * nat ) > $o ).

tff(pred_def_861,type,
    sK1628: vEBT_VEBT > $o ).

tff(pred_def_862,type,
    sK1629: vEBT_VEBT > $o ).

tff(pred_def_863,type,
    sK1653: vEBT_VEBT > $o ).

tff(pred_def_864,type,
    sK1654: vEBT_VEBT > $o ).

tff(pred_def_865,type,
    sP1661: ( nat * list(vEBT_VEBT) * nat * nat * vEBT_VEBT * nat * nat ) > $o ).

tff(pred_def_866,type,
    sP1665: $o > $o ).

tff(pred_def_867,type,
    sP1666: $o > $o ).

tff(pred_def_868,type,
    sP1683: 
      !>[X0: $tType] : ( ( X0 * X0 ) > $o ) ).

tff(pred_def_869,type,
    sP1711: 
      !>[X0: $tType] : ( ( X0 * fun(X0,$o) * fun(X0,$o) ) > $o ) ).

tff(pred_def_870,type,
    sP1712: 
      !>[X0: $tType] : ( ( X0 * X0 * X0 * fun(X0,$o) ) > $o ) ).

tff(pred_def_871,type,
    sP1713: 
      !>[X0: $tType] : ( ( X0 * fun(X0,$o) ) > $o ) ).

tff(pred_def_872,type,
    sP1714: 
      !>[X0: $tType] : ( ( X0 * fun(X0,$o) ) > $o ) ).

tff(pred_def_873,type,
    sP1715: 
      !>[X0: $tType] : ( ( X0 * X0 * X0 * fun(X0,$o) ) > $o ) ).

tff(pred_def_874,type,
    sP1716: ( nat * vEBT_VEBT ) > $o ).

tff(pred_def_875,type,
    sP1750: ( nat * vEBT_VEBT ) > $o ).

tff(pred_def_876,type,
    sP1751: ( nat * nat * vEBT_VEBT ) > $o ).

tff(pred_def_877,type,
    sP1752: ( nat * nat * vEBT_VEBT ) > $o ).

tff(pred_def_878,type,
    sP1756: ( nat * nat * nat * list(vEBT_VEBT) * vEBT_VEBT * nat * nat * vEBT_VEBT ) > $o ).

tff(pred_def_879,type,
    sK1762: vEBT_VEBT > $o ).

tff(pred_def_880,type,
    sK1763: vEBT_VEBT > $o ).

tff(pred_def_881,type,
    sK1768: vEBT_VEBT > $o ).

tff(pred_def_882,type,
    sK1769: vEBT_VEBT > $o ).

tff(pred_def_883,type,
    sK1770: vEBT_VEBT > $o ).

tff(pred_def_884,type,
    sK1771: vEBT_VEBT > $o ).

tff(pred_def_885,type,
    sP1772: $o > $o ).

tff(pred_def_886,type,
    sP1773: $o > $o ).

tff(pred_def_887,type,
    sP1774: ( nat * nat * list(vEBT_VEBT) * vEBT_VEBT * nat * nat ) > $o ).

tff(pred_def_888,type,
    sP1775: ( nat * nat * list(vEBT_VEBT) * vEBT_VEBT * nat * nat ) > $o ).

tff(pred_def_889,type,
    sP1776: ( nat * nat * list(vEBT_VEBT) * vEBT_VEBT * nat * nat ) > $o ).

tff(pred_def_890,type,
    sP1777: ( nat * nat * list(vEBT_VEBT) * vEBT_VEBT * nat * nat ) > $o ).

tff(pred_def_891,type,
    sP1778: ( nat * nat * list(vEBT_VEBT) * vEBT_VEBT * nat * nat ) > $o ).

tff(pred_def_892,type,
    sP1779: ( nat * nat * list(vEBT_VEBT) * vEBT_VEBT * nat * nat ) > $o ).

tff(pred_def_893,type,
    sP1780: ( nat * nat * list(vEBT_VEBT) * vEBT_VEBT * nat * nat ) > $o ).

tff(pred_def_894,type,
    sP1781: ( nat * nat * list(vEBT_VEBT) * vEBT_VEBT * nat * nat ) > $o ).

tff(pred_def_895,type,
    sP1782: ( nat * nat * list(vEBT_VEBT) * vEBT_VEBT * nat ) > $o ).

tff(pred_def_896,type,
    sP1783: ( nat * nat * list(vEBT_VEBT) * vEBT_VEBT * nat * nat ) > $o ).

tff(pred_def_897,type,
    sP1784: ( nat * nat * list(vEBT_VEBT) * vEBT_VEBT * nat * nat ) > $o ).

tff(pred_def_898,type,
    sP1785: ( nat * nat * list(vEBT_VEBT) * vEBT_VEBT * nat * nat ) > $o ).

tff(pred_def_899,type,
    sP1786: ( nat * nat * list(vEBT_VEBT) * vEBT_VEBT * nat * nat ) > $o ).

tff(pred_def_900,type,
    sP1787: ( nat * nat * list(vEBT_VEBT) * vEBT_VEBT * nat * nat ) > $o ).

tff(pred_def_901,type,
    sP1788: ( nat * nat * list(vEBT_VEBT) * vEBT_VEBT * nat * nat ) > $o ).

tff(pred_def_902,type,
    sP1789: ( nat * nat * list(vEBT_VEBT) * vEBT_VEBT * nat * nat ) > $o ).

tff(pred_def_903,type,
    sP1795: 
      !>[X0: $tType] : ( ( X0 * fun(X0,$o) * fun(X0,$o) ) > $o ) ).

tff(pred_def_904,type,
    sP1796: 
      !>[X0: $tType] : ( ( X0 * X0 * X0 * fun(X0,$o) ) > $o ) ).

tff(pred_def_905,type,
    sP1797: 
      !>[X0: $tType] : ( ( X0 * fun(X0,$o) ) > $o ) ).

tff(pred_def_906,type,
    sK1827: ( nat * vEBT_VEBT * nat ) > $o ).

tff(pred_def_907,type,
    sK1828: ( nat * vEBT_VEBT * nat ) > $o ).

tff(pred_def_908,type,
    sP1829: ( option(product_prod(nat,nat)) * vEBT_VEBT * list(vEBT_VEBT) * nat * vEBT_VEBT * nat ) > $o ).

tff(pred_def_909,type,
    sP1830: ( nat * vEBT_VEBT * list(vEBT_VEBT) * nat * vEBT_VEBT * nat ) > $o ).

tff(pred_def_910,type,
    sP1831: ( $o * $o * nat * vEBT_VEBT * nat ) > $o ).

tff(pred_def_911,type,
    sP1832: ( nat * nat * nat ) > $o ).

tff(pred_def_912,type,
    sP1833: ( nat * nat * nat ) > $o ).

tff(pred_def_913,type,
    sP1834: ( nat * nat * nat ) > $o ).

tff(pred_def_914,type,
    sP1835: ( list(vEBT_VEBT) * nat * nat * nat ) > $o ).

tff(pred_def_915,type,
    sP1836: ( list(vEBT_VEBT) * nat * nat * nat ) > $o ).

tff(pred_def_916,type,
    sP1837: ( nat * nat ) > $o ).

tff(pred_def_917,type,
    sP1838: ( nat * nat ) > $o ).

tff(pred_def_918,type,
    sP1839: ( nat * nat ) > $o ).

tff(pred_def_919,type,
    sK1848: ( nat * vEBT_VEBT ) > $o ).

tff(pred_def_920,type,
    sK1849: ( nat * vEBT_VEBT ) > $o ).

tff(pred_def_921,type,
    sP1851: $o > $o ).

tff(pred_def_922,type,
    sP1852: $o > $o ).

tff(pred_def_923,type,
    sP1853: ( nat * list(vEBT_VEBT) * nat ) > $o ).

tff(pred_def_924,type,
    sP1886: 
      !>[X0: $tType] : ( ( X0 * X0 ) > $o ) ).

tff(pred_def_925,type,
    sP1887: 
      !>[X0: $tType] : ( ( X0 * fun(X0,$o) * fun(X0,$o) * fun(X0,$o) * fun(X0,$o) ) > $o ) ).

tff(pred_def_926,type,
    sP1894: ( num * num * num ) > $o ).

tff(pred_def_927,type,
    sP1895: ( num * num * num ) > $o ).

tff(pred_def_928,type,
    sP1896: ( num * num * num ) > $o ).

tff(pred_def_929,type,
    sP1897: ( num * num * num * num ) > $o ).

tff(pred_def_930,type,
    sP1898: ( num * num * num * num ) > $o ).

tff(pred_def_931,type,
    sP1899: ( num * num * num * num ) > $o ).

tff(pred_def_932,type,
    sP1905: ( num * num * num ) > $o ).

tff(pred_def_933,type,
    sP1930: 
      !>[X0: $tType] : ( ( X0 * list(X0) * list(X0) * X0 * list(X0) * list(X0) ) > $o ) ).

tff(pred_def_934,type,
    sP1940: ( nat * nat * list(vEBT_VEBT) * nat ) > $o ).

tff(pred_def_935,type,
    sP1953: 
      !>[X0: $tType] : ( ( X0 * X0 * X0 ) > $o ) ).

tff(pred_def_936,type,
    sP1954: 
      !>[X0: $tType] : ( ( X0 * X0 * X0 ) > $o ) ).

tff(pred_def_937,type,
    sP1984: 
      !>[X0: $tType] : ( ( X0 * fun(X0,$o) ) > $o ) ).

tff(pred_def_938,type,
    sP1985: 
      !>[X0: $tType] : ( ( X0 * fun(X0,$o) ) > $o ) ).

tff(pred_def_939,type,
    sP1986: 
      !>[X0: $tType] : ( ( X0 * fun(X0,$o) * fun(X0,$o) ) > $o ) ).

tff(pred_def_940,type,
    sP1987: 
      !>[X0: $tType] : ( ( X0 * fun(X0,$o) * fun(X0,$o) ) > $o ) ).

tff(pred_def_941,type,
    sP1988: 
      !>[X0: $tType] : ( ( X0 * fun(X0,$o) ) > $o ) ).

tff(pred_def_942,type,
    sP1989: 
      !>[X0: $tType] : ( ( X0 * fun(X0,$o) ) > $o ) ).

tff(pred_def_943,type,
    sP1990: ( $o * $o ) > $o ).

tff(pred_def_944,type,
    sP1991: ( $o * $o ) > $o ).

tff(pred_def_945,type,
    sP1992: ( $o * $o ) > $o ).

tff(pred_def_946,type,
    sP1993: ( $o * $o ) > $o ).

tff(pred_def_947,type,
    sP1994: ( $o * $o ) > $o ).

tff(pred_def_948,type,
    sP1995: ( $o * $o ) > $o ).

tff(pred_def_949,type,
    sP1996: ( $o * $o ) > $o ).

tff(pred_def_950,type,
    sP1997: ( $o * $o ) > $o ).

tff(pred_def_951,type,
    sP1998: ( $o * $o ) > $o ).

tff(pred_def_952,type,
    sP1999: ( $o * $o ) > $o ).

tff(pred_def_953,type,
    sP2000: ( $o * $o ) > $o ).

tff(pred_def_954,type,
    sP2001: ( $o * $o ) > $o ).

tff(pred_def_955,type,
    sP2002: ( $o * $o ) > $o ).

tff(pred_def_956,type,
    sK2014: ( vEBT_VEBT * option(nat) ) > $o ).

tff(pred_def_957,type,
    sK2015: ( vEBT_VEBT * option(nat) ) > $o ).

tff(pred_def_958,type,
    sP2016: ( $o * $o * option(nat) * vEBT_VEBT ) > $o ).

tff(pred_def_959,type,
    sP2023: ( int * int * fun(int,$o) * int * int ) > $o ).

tff(pred_def_960,type,
    sK2028: ( nat * option(nat) * vEBT_VEBT ) > $o ).

tff(pred_def_961,type,
    sP2029: ( vEBT_VEBT * option(nat) * nat ) > $o ).

tff(pred_def_962,type,
    sP2030: ( vEBT_VEBT * option(nat) * nat ) > $o ).

tff(pred_def_963,type,
    sP2031: ( vEBT_VEBT * option(nat) ) > $o ).

tff(pred_def_964,type,
    sK2035: vEBT_VEBT > $o ).

tff(pred_def_965,type,
    sK2036: vEBT_VEBT > $o ).

tff(pred_def_966,type,
    sP2037: ( $o * vEBT_VEBT * option(nat) * nat ) > $o ).

tff(pred_def_967,type,
    sK2046: ( nat * option(nat) * vEBT_VEBT ) > $o ).

tff(pred_def_968,type,
    sK2047: ( nat * option(nat) * vEBT_VEBT ) > $o ).

tff(pred_def_969,type,
    sP2051: $o > $o ).

tff(pred_def_970,type,
    sP2052: $o > $o ).

tff(pred_def_971,type,
    sK2053: ( vEBT_VEBT * $o ) > $o ).

tff(pred_def_972,type,
    sK2078: ( nat * $o * vEBT_VEBT ) > $o ).

tff(pred_def_973,type,
    sK2079: ( nat * $o * vEBT_VEBT ) > $o ).

tff(pred_def_974,type,
    sP2080: $o > $o ).

tff(pred_def_975,type,
    sP2081: ( vEBT_VEBT * nat ) > $o ).

tff(pred_def_976,type,
    sP2082: ( nat * nat * list(vEBT_VEBT) * vEBT_VEBT * nat * vEBT_VEBT * $o * nat ) > $o ).

tff(pred_def_977,type,
    sP2083: ( vEBT_VEBT * list(vEBT_VEBT) * product_prod(nat,nat) * vEBT_VEBT * $o * nat ) > $o ).

tff(pred_def_978,type,
    sP2084: ( $o * $o * vEBT_VEBT * $o * nat ) > $o ).

tff(pred_def_979,type,
    sP2105: 
      !>[X0: $tType,X1: $tType] : ( ( X0 * list(X0) * X0 * list(X0) * fun(X0,X1) * X0 ) > $o ) ).

tff(pred_def_980,type,
    sK2134: vEBT_VEBT > $o ).

tff(pred_def_981,type,
    sK2135: vEBT_VEBT > $o ).

tff(pred_def_982,type,
    sP2136: $o > $o ).

tff(pred_def_983,type,
    sP2137: $o > $o ).

tff(pred_def_984,type,
    sP2138: ( vEBT_VEBT * list(vEBT_VEBT) ) > $o ).

tff(pred_def_985,type,
    sP2150: nat > $o ).

tff(pred_def_986,type,
    sP2189: ( num * num * num * num ) > $o ).

tff(pred_def_987,type,
    sP2190: ( num * num * num * num ) > $o ).

tff(pred_def_988,type,
    sP2192: ( num * num * num * num ) > $o ).

tff(pred_def_989,type,
    sP2193: ( num * num * num * num ) > $o ).

tff(pred_def_990,type,
    sP2194: ( num * num * num * num ) > $o ).

tff(pred_def_991,type,
    sP2195: ( num * num * num * num ) > $o ).

tff(pred_def_992,type,
    sP2197: ( num * num * num ) > $o ).

tff(pred_def_993,type,
    sK2229: ( vEBT_VEBT * vEBT_VEBT * extended_enat ) > $o ).

tff(pred_def_994,type,
    sK2230: ( vEBT_VEBT * vEBT_VEBT * extended_enat ) > $o ).

tff(pred_def_995,type,
    sP2231: ( nat * vEBT_VEBT * option(product_prod(nat,nat)) * list(vEBT_VEBT) * extended_enat * vEBT_VEBT ) > $o ).

tff(pred_def_996,type,
    sP2233: $o > $o ).

tff(pred_def_997,type,
    sP2234: $o > $o ).

tff(pred_def_998,type,
    sP2235: $o > $o ).

tff(pred_def_999,type,
    sP2236: $o > $o ).

tff(pred_def_1000,type,
    sP2237: $o > $o ).

tff(pred_def_1001,type,
    sP2238: $o > $o ).

tff(pred_def_1002,type,
    sK2240: ( vEBT_VEBT * nat ) > $o ).

tff(pred_def_1003,type,
    sK2241: ( vEBT_VEBT * nat ) > $o ).

tff(pred_def_1004,type,
    sP2246: ( list(vEBT_VEBT) * option(product_prod(nat,nat)) * vEBT_VEBT * nat * nat ) > $o ).

tff(pred_def_1005,type,
    sP2247: $o > $o ).

tff(pred_def_1006,type,
    sP2248: $o > $o ).

tff(pred_def_1007,type,
    sP2249: $o > $o ).

tff(pred_def_1008,type,
    sP2250: $o > $o ).

tff(pred_def_1009,type,
    sK2279: vEBT_VEBT > $o ).

tff(pred_def_1010,type,
    sK2280: vEBT_VEBT > $o ).

tff(pred_def_1011,type,
    sP2281: ( vEBT_VEBT * list(vEBT_VEBT) * nat * option(product_prod(nat,nat)) * nat * $o ) > $o ).

tff(pred_def_1012,type,
    sP2282: $o > $o ).

tff(pred_def_1013,type,
    sP2283: $o > $o ).

tff(pred_def_1014,type,
    sK2296: ( vEBT_VEBT * vEBT_VEBT * nat ) > $o ).

tff(pred_def_1015,type,
    sK2297: ( vEBT_VEBT * vEBT_VEBT * nat ) > $o ).

tff(pred_def_1016,type,
    sP2312: ( list(vEBT_VEBT) * vEBT_VEBT * option(product_prod(nat,nat)) * nat * vEBT_VEBT * vEBT_VEBT ) > $o ).

tff(pred_def_1017,type,
    sP2313: ( list(vEBT_VEBT) * nat * vEBT_VEBT * nat * vEBT_VEBT * vEBT_VEBT ) > $o ).

tff(pred_def_1018,type,
    sP2314: ( nat * nat * nat * list(vEBT_VEBT) * vEBT_VEBT * nat * vEBT_VEBT * vEBT_VEBT ) > $o ).

tff(pred_def_1019,type,
    sP2315: $o > $o ).

tff(pred_def_1020,type,
    sP2316: $o > $o ).

tff(pred_def_1021,type,
    sP2317: $o > $o ).

tff(pred_def_1022,type,
    sP2318: $o > $o ).

tff(pred_def_1023,type,
    sP2319: ( nat * nat * nat ) > $o ).

tff(pred_def_1024,type,
    sP2320: ( nat * nat * nat ) > $o ).

tff(pred_def_1025,type,
    sP2321: ( nat * nat * nat ) > $o ).

tff(pred_def_1026,type,
    sP2322: $o > $o ).

tff(pred_def_1027,type,
    sP2323: $o > $o ).

tff(pred_def_1028,type,
    sP2324: ( nat * nat * list(vEBT_VEBT) * nat ) > $o ).

tff(pred_def_1029,type,
    sP2325: ( nat * nat ) > $o ).

tff(pred_def_1030,type,
    sP2326: ( nat * nat ) > $o ).

tff(pred_def_1031,type,
    sP2348: ( int * int * fun(int,$o) ) > $o ).

tff(pred_def_1032,type,
    sP2349: ( int * int * fun(int,$o) ) > $o ).

tff(pred_def_1033,type,
    sP2350: ( int * fun(int,$o) * fun(int,$o) ) > $o ).

tff(pred_def_1034,type,
    sP2351: ( int * int * set(int) ) > $o ).

tff(pred_def_1035,type,
    sP2392: $o > $o ).

tff(pred_def_1036,type,
    sP2393: $o > $o ).

tff(pred_def_1037,type,
    sK2405: ( nat * vEBT_VEBT ) > $o ).

tff(pred_def_1038,type,
    sK2406: ( nat * vEBT_VEBT ) > $o ).

tff(pred_def_1039,type,
    sP2408: $o > $o ).

tff(pred_def_1040,type,
    sP2409: $o > $o ).

tff(pred_def_1041,type,
    sP2410: ( nat * nat ) > $o ).

tff(pred_def_1042,type,
    sP2411: ( nat * nat ) > $o ).

tff(pred_def_1043,type,
    sP2412: ( list(vEBT_VEBT) * nat * nat ) > $o ).

tff(pred_def_1044,type,
    sK2426: ( vEBT_VEBT * nat * nat ) > $o ).

tff(pred_def_1045,type,
    sK2427: ( vEBT_VEBT * nat * nat ) > $o ).

tff(pred_def_1046,type,
    sK2428: ( vEBT_VEBT * nat * nat ) > $o ).

tff(pred_def_1047,type,
    sK2429: ( vEBT_VEBT * nat * nat ) > $o ).

tff(pred_def_1048,type,
    sK2441: ( vEBT_VEBT * nat * nat ) > $o ).

tff(pred_def_1049,type,
    sK2442: ( vEBT_VEBT * nat * nat ) > $o ).

tff(pred_def_1050,type,
    sP2446: ( nat * vEBT_VEBT * list(vEBT_VEBT) * nat * nat * vEBT_VEBT ) > $o ).

tff(pred_def_1051,type,
    sP2447: ( list(vEBT_VEBT) * product_prod(nat,nat) * vEBT_VEBT * nat * nat * vEBT_VEBT ) > $o ).

tff(pred_def_1052,type,
    sP2448: ( $o * $o * nat * nat * vEBT_VEBT ) > $o ).

tff(pred_def_1053,type,
    sP2449: ( product_prod(nat,nat) * list(vEBT_VEBT) * vEBT_VEBT * nat * nat * vEBT_VEBT ) > $o ).

tff(pred_def_1054,type,
    sP2450: ( $o * $o * nat * nat ) > $o ).

tff(pred_def_1055,type,
    sP2451: ( $o * $o * vEBT_VEBT ) > $o ).

tff(pred_def_1056,type,
    sP2452: ( list(vEBT_VEBT) * nat * nat * vEBT_VEBT * nat * nat ) > $o ).

tff(pred_def_1057,type,
    sP2454: $o > $o ).

tff(pred_def_1058,type,
    sP2455: $o > $o ).

tff(pred_def_1059,type,
    sP2456: $o > $o ).

tff(pred_def_1060,type,
    sP2457: $o > $o ).

tff(pred_def_1061,type,
    sP2458: ( vEBT_VEBT * nat * nat * $o ) > $o ).

tff(pred_def_1062,type,
    sP2459: ( vEBT_VEBT * nat * nat * $o ) > $o ).

tff(pred_def_1063,type,
    sP2460: ( vEBT_VEBT * nat * nat * $o ) > $o ).

tff(pred_def_1064,type,
    sP2461: ( vEBT_VEBT * nat * nat * $o ) > $o ).

tff(pred_def_1065,type,
    sP2462: ( vEBT_VEBT * nat * nat * $o ) > $o ).

tff(pred_def_1066,type,
    sP2463: ( vEBT_VEBT * nat * nat * $o ) > $o ).

tff(pred_def_1067,type,
    sP2464: ( vEBT_VEBT * nat * nat * $o ) > $o ).

tff(pred_def_1068,type,
    sP2465: ( vEBT_VEBT * nat * nat * $o ) > $o ).

tff(pred_def_1069,type,
    sP2466: ( vEBT_VEBT * nat * nat * $o ) > $o ).

tff(pred_def_1070,type,
    sP2467: ( vEBT_VEBT * nat * nat * $o ) > $o ).

tff(pred_def_1071,type,
    sP2468: ( vEBT_VEBT * nat * nat * $o ) > $o ).

tff(pred_def_1072,type,
    sP2469: ( vEBT_VEBT * nat * nat * $o ) > $o ).

tff(pred_def_1073,type,
    sP2470: ( vEBT_VEBT * nat * nat * $o ) > $o ).

tff(pred_def_1074,type,
    sP2471: ( vEBT_VEBT * nat * nat * $o ) > $o ).

tff(pred_def_1075,type,
    sP2472: ( vEBT_VEBT * nat * nat * $o ) > $o ).

tff(pred_def_1076,type,
    sP2473: ( vEBT_VEBT * nat * nat * $o ) > $o ).

tff(pred_def_1077,type,
    sP2474: ( vEBT_VEBT * nat * nat * $o ) > $o ).

tff(pred_def_1078,type,
    sP2475: ( vEBT_VEBT * nat * nat * $o ) > $o ).

tff(pred_def_1079,type,
    sP2476: ( vEBT_VEBT * nat * nat * $o ) > $o ).

tff(pred_def_1080,type,
    sP2477: ( vEBT_VEBT * nat * nat * $o ) > $o ).

tff(pred_def_1081,type,
    sP2478: ( vEBT_VEBT * nat * nat * $o ) > $o ).

tff(pred_def_1082,type,
    sP2479: ( vEBT_VEBT * nat * nat * $o ) > $o ).

tff(pred_def_1083,type,
    sP2480: ( vEBT_VEBT * nat * nat * $o ) > $o ).

tff(pred_def_1084,type,
    sP2481: ( vEBT_VEBT * nat * nat * $o ) > $o ).

tff(pred_def_1085,type,
    sP2482: ( vEBT_VEBT * nat * nat * $o ) > $o ).

tff(pred_def_1086,type,
    sP2483: ( vEBT_VEBT * nat * nat * $o ) > $o ).

tff(pred_def_1087,type,
    sP2484: ( vEBT_VEBT * nat * nat * $o ) > $o ).

tff(pred_def_1088,type,
    sP2485: ( vEBT_VEBT * nat * nat * $o ) > $o ).

tff(pred_def_1089,type,
    sP2486: ( vEBT_VEBT * nat * nat * $o ) > $o ).

tff(pred_def_1090,type,
    sP2487: ( vEBT_VEBT * nat * nat * $o ) > $o ).

tff(pred_def_1091,type,
    sP2488: ( vEBT_VEBT * nat * nat * $o ) > $o ).

tff(pred_def_1092,type,
    sP2489: ( vEBT_VEBT * nat * nat * $o ) > $o ).

tff(pred_def_1093,type,
    sP2490: ( vEBT_VEBT * nat * nat * $o ) > $o ).

tff(pred_def_1094,type,
    sP2491: ( vEBT_VEBT * nat * nat * $o ) > $o ).

tff(pred_def_1095,type,
    sP2492: ( vEBT_VEBT * nat * nat * $o ) > $o ).

tff(pred_def_1096,type,
    sP2493: ( vEBT_VEBT * nat * nat * $o ) > $o ).

tff(pred_def_1097,type,
    sP2494: ( vEBT_VEBT * nat * nat * $o ) > $o ).

tff(pred_def_1098,type,
    sP2495: ( vEBT_VEBT * nat * nat * $o ) > $o ).

tff(pred_def_1099,type,
    sP2496: ( vEBT_VEBT * nat * nat * $o ) > $o ).

tff(pred_def_1100,type,
    sP2497: ( vEBT_VEBT * nat * nat * $o ) > $o ).

tff(pred_def_1101,type,
    sP2498: ( vEBT_VEBT * nat * nat * $o ) > $o ).

tff(pred_def_1102,type,
    sP2499: ( vEBT_VEBT * nat * nat * $o ) > $o ).

tff(pred_def_1103,type,
    sP2500: ( vEBT_VEBT * nat * nat * $o ) > $o ).

tff(pred_def_1104,type,
    sP2501: ( vEBT_VEBT * nat * nat * $o ) > $o ).

tff(pred_def_1105,type,
    sP2502: ( vEBT_VEBT * nat * nat * $o ) > $o ).

tff(pred_def_1106,type,
    sP2503: ( vEBT_VEBT * nat * nat * $o ) > $o ).

tff(pred_def_1107,type,
    sP2504: ( vEBT_VEBT * nat * nat * $o ) > $o ).

tff(pred_def_1108,type,
    sP2505: ( vEBT_VEBT * nat * nat * $o ) > $o ).

tff(pred_def_1109,type,
    sP2506: ( vEBT_VEBT * nat * nat * $o ) > $o ).

tff(pred_def_1110,type,
    sP2507: ( vEBT_VEBT * nat * nat * $o ) > $o ).

tff(pred_def_1111,type,
    sP2508: ( vEBT_VEBT * nat * nat * $o ) > $o ).

tff(pred_def_1112,type,
    sP2509: ( vEBT_VEBT * nat * nat * $o ) > $o ).

tff(pred_def_1113,type,
    sP2510: ( vEBT_VEBT * nat * nat * $o ) > $o ).

tff(pred_def_1114,type,
    sP2511: ( vEBT_VEBT * nat * nat * $o ) > $o ).

tff(pred_def_1115,type,
    sP2512: ( vEBT_VEBT * nat * nat * $o ) > $o ).

tff(pred_def_1116,type,
    sP2513: ( vEBT_VEBT * nat * nat * $o ) > $o ).

tff(pred_def_1117,type,
    sP2514: ( vEBT_VEBT * nat * nat * $o ) > $o ).

tff(pred_def_1118,type,
    sP2515: ( vEBT_VEBT * nat * nat * $o ) > $o ).

tff(pred_def_1119,type,
    sP2516: ( vEBT_VEBT * nat * nat * $o ) > $o ).

tff(pred_def_1120,type,
    sP2517: ( vEBT_VEBT * nat * nat * $o ) > $o ).

tff(pred_def_1121,type,
    sP2518: ( vEBT_VEBT * nat * nat * $o ) > $o ).

tff(pred_def_1122,type,
    sP2519: ( vEBT_VEBT * nat * nat * $o ) > $o ).

tff(pred_def_1123,type,
    sP2520: ( vEBT_VEBT * nat * nat * $o ) > $o ).

tff(pred_def_1124,type,
    sP2521: ( vEBT_VEBT * nat * nat * $o ) > $o ).

tff(pred_def_1125,type,
    sP2522: ( vEBT_VEBT * nat * nat * $o ) > $o ).

tff(pred_def_1126,type,
    sP2523: ( vEBT_VEBT * nat * nat * $o ) > $o ).

tff(pred_def_1127,type,
    sP2524: ( vEBT_VEBT * nat * nat * $o ) > $o ).

tff(pred_def_1128,type,
    sP2525: ( vEBT_VEBT * nat * nat * $o ) > $o ).

tff(pred_def_1129,type,
    sP2526: ( vEBT_VEBT * nat * nat * $o ) > $o ).

tff(pred_def_1130,type,
    sP2527: ( vEBT_VEBT * nat * nat * $o ) > $o ).

tff(pred_def_1131,type,
    sP2528: ( vEBT_VEBT * nat * nat * $o ) > $o ).

tff(pred_def_1132,type,
    sP2529: ( vEBT_VEBT * nat * nat * $o ) > $o ).

tff(pred_def_1133,type,
    sP2530: ( vEBT_VEBT * nat * nat * $o ) > $o ).

tff(pred_def_1134,type,
    sP2531: ( vEBT_VEBT * nat * nat * $o ) > $o ).

tff(pred_def_1135,type,
    sP2532: ( vEBT_VEBT * nat * nat * $o ) > $o ).

tff(pred_def_1136,type,
    sP2533: ( vEBT_VEBT * nat * nat * $o ) > $o ).

tff(pred_def_1137,type,
    sP2534: ( vEBT_VEBT * nat * nat * $o ) > $o ).

tff(pred_def_1138,type,
    sP2535: ( vEBT_VEBT * nat * nat * $o ) > $o ).

tff(pred_def_1139,type,
    sP2536: ( vEBT_VEBT * nat * nat * $o ) > $o ).

tff(pred_def_1140,type,
    sP2537: ( vEBT_VEBT * nat * nat * $o ) > $o ).

tff(pred_def_1141,type,
    sP2538: ( vEBT_VEBT * nat * nat * $o ) > $o ).

tff(pred_def_1142,type,
    sP2539: ( vEBT_VEBT * nat * nat * $o ) > $o ).

tff(pred_def_1143,type,
    sP2540: ( vEBT_VEBT * nat * nat * $o ) > $o ).

tff(pred_def_1144,type,
    sP2541: ( vEBT_VEBT * nat * nat * $o ) > $o ).

tff(pred_def_1145,type,
    sP2542: ( vEBT_VEBT * nat * nat * $o ) > $o ).

tff(pred_def_1146,type,
    sP2543: ( vEBT_VEBT * nat * nat * $o ) > $o ).

tff(pred_def_1147,type,
    sP2544: ( vEBT_VEBT * nat * nat * $o ) > $o ).

tff(pred_def_1148,type,
    sP2545: ( vEBT_VEBT * nat * nat * $o ) > $o ).

tff(pred_def_1149,type,
    sP2546: ( vEBT_VEBT * nat * nat * $o ) > $o ).

tff(pred_def_1150,type,
    sP2547: ( vEBT_VEBT * nat * nat * $o ) > $o ).

tff(pred_def_1151,type,
    sP2548: ( vEBT_VEBT * nat * nat * $o ) > $o ).

tff(pred_def_1152,type,
    sP2549: ( vEBT_VEBT * nat * nat * $o ) > $o ).

tff(pred_def_1153,type,
    sP2550: ( vEBT_VEBT * nat * nat * $o ) > $o ).

tff(pred_def_1154,type,
    sP2551: ( vEBT_VEBT * nat * nat * $o ) > $o ).

tff(pred_def_1155,type,
    sP2552: ( vEBT_VEBT * nat * nat * $o ) > $o ).

tff(pred_def_1156,type,
    sP2553: ( vEBT_VEBT * nat * nat * $o ) > $o ).

tff(pred_def_1157,type,
    sP2554: ( vEBT_VEBT * nat * nat * $o ) > $o ).

tff(pred_def_1158,type,
    sP2555: ( vEBT_VEBT * nat * nat * $o ) > $o ).

tff(pred_def_1159,type,
    sP2556: ( vEBT_VEBT * nat * nat * $o ) > $o ).

tff(pred_def_1160,type,
    sP2557: ( vEBT_VEBT * nat * nat * $o ) > $o ).

tff(pred_def_1161,type,
    sP2558: ( vEBT_VEBT * nat * nat * $o ) > $o ).

tff(pred_def_1162,type,
    sP2559: ( vEBT_VEBT * nat * nat * $o ) > $o ).

tff(pred_def_1163,type,
    sP2560: ( vEBT_VEBT * nat * nat * $o ) > $o ).

tff(pred_def_1164,type,
    sP2561: ( vEBT_VEBT * nat * nat * $o ) > $o ).

tff(pred_def_1165,type,
    sP2562: ( vEBT_VEBT * nat * nat * $o ) > $o ).

tff(pred_def_1166,type,
    sP2563: ( vEBT_VEBT * nat * nat * $o ) > $o ).

tff(pred_def_1167,type,
    sP2564: ( vEBT_VEBT * nat * nat * $o ) > $o ).

tff(pred_def_1168,type,
    sP2565: ( vEBT_VEBT * nat * nat * $o ) > $o ).

tff(pred_def_1169,type,
    sP2566: ( vEBT_VEBT * nat * nat * $o ) > $o ).

tff(pred_def_1170,type,
    sP2567: ( vEBT_VEBT * nat * nat * $o ) > $o ).

tff(pred_def_1171,type,
    sP2568: ( vEBT_VEBT * nat * nat * $o ) > $o ).

tff(pred_def_1172,type,
    sP2569: ( vEBT_VEBT * nat * nat * $o ) > $o ).

tff(pred_def_1173,type,
    sP2570: ( vEBT_VEBT * nat * nat * $o ) > $o ).

tff(pred_def_1174,type,
    sP2571: ( vEBT_VEBT * nat * nat * $o ) > $o ).

tff(pred_def_1175,type,
    sP2572: ( vEBT_VEBT * nat * nat * $o ) > $o ).

tff(pred_def_1176,type,
    sP2573: ( vEBT_VEBT * nat * nat * $o ) > $o ).

tff(pred_def_1177,type,
    sP2574: ( vEBT_VEBT * nat * nat * $o ) > $o ).

tff(pred_def_1178,type,
    sP2575: ( vEBT_VEBT * nat * nat * $o ) > $o ).

tff(pred_def_1179,type,
    sP2576: ( vEBT_VEBT * nat * nat * $o ) > $o ).

tff(pred_def_1180,type,
    sP2577: ( vEBT_VEBT * nat * nat * $o ) > $o ).

tff(pred_def_1181,type,
    sP2578: ( vEBT_VEBT * nat * nat * $o ) > $o ).

tff(pred_def_1182,type,
    sP2579: ( vEBT_VEBT * nat * nat * $o ) > $o ).

tff(pred_def_1183,type,
    sP2580: ( vEBT_VEBT * nat * nat * $o ) > $o ).

tff(pred_def_1184,type,
    sP2581: ( vEBT_VEBT * nat * nat * $o ) > $o ).

tff(pred_def_1185,type,
    sP2582: ( vEBT_VEBT * nat * nat * $o ) > $o ).

tff(pred_def_1186,type,
    sP2583: ( vEBT_VEBT * nat * nat * $o ) > $o ).

tff(pred_def_1187,type,
    sP2584: ( vEBT_VEBT * nat * nat * $o ) > $o ).

tff(pred_def_1188,type,
    sP2585: ( vEBT_VEBT * nat * nat * $o ) > $o ).

tff(pred_def_1189,type,
    sP2586: ( vEBT_VEBT * nat * nat * $o ) > $o ).

tff(pred_def_1190,type,
    sP2587: ( vEBT_VEBT * nat * nat * $o ) > $o ).

tff(pred_def_1191,type,
    sP2588: ( vEBT_VEBT * nat * nat * $o ) > $o ).

tff(pred_def_1192,type,
    sP2589: ( vEBT_VEBT * nat * nat * $o ) > $o ).

tff(pred_def_1193,type,
    sP2590: ( vEBT_VEBT * nat * nat * $o ) > $o ).

tff(pred_def_1194,type,
    sP2591: ( vEBT_VEBT * nat * nat * $o ) > $o ).

tff(pred_def_1195,type,
    sP2592: ( vEBT_VEBT * nat * nat * $o ) > $o ).

tff(pred_def_1196,type,
    sP2593: ( vEBT_VEBT * nat * nat * $o ) > $o ).

tff(pred_def_1197,type,
    sP2594: ( vEBT_VEBT * nat * nat * $o ) > $o ).

tff(pred_def_1198,type,
    sP2595: ( vEBT_VEBT * nat * nat * $o ) > $o ).

tff(pred_def_1199,type,
    sP2596: ( vEBT_VEBT * nat * nat * $o ) > $o ).

tff(pred_def_1200,type,
    sP2597: ( vEBT_VEBT * nat * nat * $o ) > $o ).

tff(pred_def_1201,type,
    sP2598: ( vEBT_VEBT * nat * nat * $o ) > $o ).

tff(pred_def_1202,type,
    sP2599: ( vEBT_VEBT * nat * nat * $o ) > $o ).

tff(pred_def_1203,type,
    sP2600: ( vEBT_VEBT * nat * nat * $o ) > $o ).

tff(pred_def_1204,type,
    sP2601: ( vEBT_VEBT * nat * nat * $o ) > $o ).

tff(pred_def_1205,type,
    sP2602: ( vEBT_VEBT * nat * nat * $o ) > $o ).

tff(pred_def_1206,type,
    sP2603: ( vEBT_VEBT * nat * nat * $o ) > $o ).

tff(pred_def_1207,type,
    sP2604: ( vEBT_VEBT * nat * nat * $o ) > $o ).

tff(pred_def_1208,type,
    sP2605: ( vEBT_VEBT * nat * nat * $o ) > $o ).

tff(pred_def_1209,type,
    sP2606: ( vEBT_VEBT * nat * nat * $o ) > $o ).

tff(pred_def_1210,type,
    sP2607: ( vEBT_VEBT * nat * nat * $o ) > $o ).

tff(pred_def_1211,type,
    sP2608: ( vEBT_VEBT * nat * nat * $o ) > $o ).

tff(pred_def_1212,type,
    sP2609: ( vEBT_VEBT * nat * nat * $o ) > $o ).

tff(pred_def_1213,type,
    sP2610: ( vEBT_VEBT * nat * nat * $o ) > $o ).

tff(pred_def_1214,type,
    sP2611: ( vEBT_VEBT * nat * nat * $o ) > $o ).

tff(pred_def_1215,type,
    sP2612: ( vEBT_VEBT * nat * nat * $o ) > $o ).

tff(pred_def_1216,type,
    sP2613: ( vEBT_VEBT * nat * nat * $o ) > $o ).

tff(pred_def_1217,type,
    sP2614: ( vEBT_VEBT * nat * nat * $o ) > $o ).

tff(pred_def_1218,type,
    sP2615: ( vEBT_VEBT * nat * nat * $o ) > $o ).

tff(pred_def_1219,type,
    sP2616: ( vEBT_VEBT * nat * nat * $o ) > $o ).

tff(pred_def_1220,type,
    sP2617: ( vEBT_VEBT * nat * nat * $o ) > $o ).

tff(pred_def_1221,type,
    sP2618: ( vEBT_VEBT * nat * nat * $o ) > $o ).

tff(pred_def_1222,type,
    sP2619: ( vEBT_VEBT * nat * nat * $o ) > $o ).

tff(pred_def_1223,type,
    sP2620: ( vEBT_VEBT * nat * nat * $o ) > $o ).

tff(pred_def_1224,type,
    sP2621: ( vEBT_VEBT * nat * nat * $o ) > $o ).

tff(pred_def_1225,type,
    sP2622: ( vEBT_VEBT * nat * nat * $o ) > $o ).

tff(pred_def_1226,type,
    sP2623: ( vEBT_VEBT * nat * nat * $o ) > $o ).

tff(pred_def_1227,type,
    sP2624: ( vEBT_VEBT * nat * nat * $o ) > $o ).

tff(pred_def_1228,type,
    sP2625: ( vEBT_VEBT * nat * nat * $o ) > $o ).

tff(pred_def_1229,type,
    sP2626: ( vEBT_VEBT * nat * nat * $o ) > $o ).

tff(pred_def_1230,type,
    sP2627: ( vEBT_VEBT * nat * nat * $o ) > $o ).

tff(pred_def_1231,type,
    sP2628: ( vEBT_VEBT * nat * nat * $o ) > $o ).

tff(pred_def_1232,type,
    sP2629: ( vEBT_VEBT * nat * nat * $o ) > $o ).

tff(pred_def_1233,type,
    sP2630: ( vEBT_VEBT * nat * nat * $o ) > $o ).

tff(pred_def_1234,type,
    sP2631: ( vEBT_VEBT * nat * nat * $o ) > $o ).

tff(pred_def_1235,type,
    sP2632: ( vEBT_VEBT * nat * nat * $o ) > $o ).

tff(pred_def_1236,type,
    sP2633: ( vEBT_VEBT * nat * nat * $o ) > $o ).

tff(pred_def_1237,type,
    sP2634: ( vEBT_VEBT * nat * nat * $o ) > $o ).

tff(pred_def_1238,type,
    sP2635: ( vEBT_VEBT * nat * nat * $o ) > $o ).

tff(pred_def_1239,type,
    sP2636: ( vEBT_VEBT * nat * nat * $o ) > $o ).

tff(pred_def_1240,type,
    sP2637: ( vEBT_VEBT * nat * nat * $o ) > $o ).

tff(pred_def_1241,type,
    sP2662: ( nat * nat * nat * nat * nat * vEBT_VEBT * list(vEBT_VEBT) * nat * vEBT_VEBT ) > $o ).

tff(pred_def_1242,type,
    sP2663: ( nat * nat * vEBT_VEBT * list(vEBT_VEBT) * nat * nat * vEBT_VEBT ) > $o ).

tff(pred_def_1243,type,
    sP2664: ( nat * nat * list(vEBT_VEBT) * nat * vEBT_VEBT * nat * nat * nat * vEBT_VEBT ) > $o ).

tff(pred_def_1244,type,
    sP2665: vEBT_VEBT > $o ).

tff(pred_def_1245,type,
    sK2666: vEBT_VEBT > $o ).

tff(pred_def_1246,type,
    sK2667: vEBT_VEBT > $o ).

tff(pred_def_1247,type,
    sP2679: $o > $o ).

tff(pred_def_1248,type,
    sK2700: ( $o * vEBT_VEBT * nat ) > $o ).

tff(pred_def_1249,type,
    sK2701: ( $o * vEBT_VEBT * nat ) > $o ).

tff(pred_def_1250,type,
    sP2702: ( nat * vEBT_VEBT ) > $o ).

tff(pred_def_1251,type,
    sP2703: $o > $o ).

tff(pred_def_1252,type,
    sP2704: ( nat * nat * list(vEBT_VEBT) * nat * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_1253,type,
    sP2711: ( $o * $o * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_1254,type,
    sP2732: 
      !>[X0: $tType,X1: $tType] : ( ( X1 * set(X1) * fun(X1,X0) ) > $o ) ).

tff(pred_def_1255,type,
    sP2733: 
      !>[X0: $tType,X1: $tType] : ( ( X1 * fun(X1,X0) * set(X0) * set(X1) * set(X0) * set(X1) ) > $o ) ).

tff(pred_def_1256,type,
    sP2734: 
      !>[X0: $tType,X1: $tType] : ( ( X0 * set(X0) * fun(X0,X1) * set(X1) * set(X0) * set(X1) ) > $o ) ).

tff(pred_def_1257,type,
    sK2751: ( vEBT_VEBT * nat ) > $o ).

tff(pred_def_1258,type,
    sK2752: ( vEBT_VEBT * nat ) > $o ).

tff(pred_def_1259,type,
    sP2753: ( nat * list(vEBT_VEBT) * nat ) > $o ).

tff(pred_def_1260,type,
    sP2754: $o > $o ).

tff(pred_def_1261,type,
    sP2755: $o > $o ).

tff(pred_def_1262,type,
    sP2756: $o > $o ).

tff(pred_def_1263,type,
    sP2757: $o > $o ).

tff(pred_def_1264,type,
    sP2765: ( int * int * int * int * fun(int,$o) ) > $o ).

tff(pred_def_1265,type,
    sK2788: ( nat * vEBT_VEBT ) > $o ).

tff(pred_def_1266,type,
    sK2789: ( nat * vEBT_VEBT ) > $o ).

tff(pred_def_1268,type,
    sP2791: ( nat * nat * nat * list(vEBT_VEBT) * nat ) > $o ).

tff(pred_def_1269,type,
    sP2792: $o > $o ).

tff(pred_def_1270,type,
    sP2793: $o > $o ).

tff(pred_def_1271,type,
    sP2794: $o > $o ).

tff(pred_def_1272,type,
    sP2795: $o > $o ).

tff(pred_def_1273,type,
    sK2829: ( vEBT_VEBT * nat ) > $o ).

tff(pred_def_1274,type,
    sK2830: ( vEBT_VEBT * nat ) > $o ).

tff(pred_def_1275,type,
    sP2838: $o > $o ).

tff(pred_def_1276,type,
    sP2839: $o > $o ).

tff(pred_def_1277,type,
    sP2840: ( nat * nat ) > $o ).

tff(pred_def_1278,type,
    sP2841: ( nat * nat ) > $o ).

tff(pred_def_1279,type,
    sP2842: ( list(vEBT_VEBT) * nat * nat ) > $o ).

tff(pred_def_1280,type,
    sP2877: ( nat * nat * nat ) > $o ).

tff(pred_def_1281,type,
    sP2878: ( nat * list(vEBT_VEBT) * nat * nat ) > $o ).

tff(pred_def_1282,type,
    sP2879: ( nat * nat ) > $o ).

tff(pred_def_1283,type,
    sP2880: ( nat * nat ) > $o ).

tff(pred_def_1284,type,
    sK2896: product_prod(vEBT_VEBT,nat) > $o ).

tff(pred_def_1285,type,
    sK2897: product_prod(vEBT_VEBT,nat) > $o ).

tff(pred_def_1286,type,
    sK2903: product_prod(vEBT_VEBT,nat) > $o ).

tff(pred_def_1287,type,
    sK2904: product_prod(vEBT_VEBT,nat) > $o ).

tff(pred_def_1288,type,
    sK2920: product_prod(vEBT_VEBT,nat) > $o ).

tff(pred_def_1289,type,
    sK2921: product_prod(vEBT_VEBT,nat) > $o ).

tff(pred_def_1290,type,
    sP2922: ( $o * $o * product_prod(vEBT_VEBT,nat) ) > $o ).

tff(pred_def_1291,type,
    sP2923: $o > $o ).

tff(pred_def_1292,type,
    sP2924: $o > $o ).

tff(pred_def_1293,type,
    sP2925: $o > $o ).

tff(pred_def_1294,type,
    sP2926: $o > $o ).

tff(pred_def_1295,type,
    sP2927: ( product_prod(vEBT_VEBT,nat) * $o ) > $o ).

tff(pred_def_1296,type,
    sP2928: ( product_prod(vEBT_VEBT,nat) * $o ) > $o ).

tff(pred_def_1297,type,
    sP2929: ( product_prod(vEBT_VEBT,nat) * $o ) > $o ).

tff(pred_def_1298,type,
    sP2930: ( product_prod(vEBT_VEBT,nat) * $o ) > $o ).

tff(pred_def_1299,type,
    sP2931: ( product_prod(vEBT_VEBT,nat) * $o ) > $o ).

tff(pred_def_1300,type,
    sP2932: ( product_prod(vEBT_VEBT,nat) * $o ) > $o ).

tff(pred_def_1301,type,
    sP2933: ( product_prod(vEBT_VEBT,nat) * $o ) > $o ).

tff(pred_def_1302,type,
    sP2934: ( product_prod(vEBT_VEBT,nat) * $o ) > $o ).

tff(pred_def_1303,type,
    sP2935: ( product_prod(vEBT_VEBT,nat) * $o ) > $o ).

tff(pred_def_1304,type,
    sP2936: ( product_prod(vEBT_VEBT,nat) * $o ) > $o ).

tff(pred_def_1305,type,
    sP2937: ( product_prod(vEBT_VEBT,nat) * $o ) > $o ).

tff(pred_def_1306,type,
    sP2938: ( product_prod(vEBT_VEBT,nat) * $o ) > $o ).

tff(pred_def_1307,type,
    sP2939: ( product_prod(vEBT_VEBT,nat) * $o ) > $o ).

tff(pred_def_1308,type,
    sP2940: ( product_prod(vEBT_VEBT,nat) * $o ) > $o ).

tff(pred_def_1309,type,
    sP2941: ( product_prod(vEBT_VEBT,nat) * $o ) > $o ).

tff(pred_def_1310,type,
    sP2942: ( product_prod(vEBT_VEBT,nat) * $o ) > $o ).

tff(pred_def_1311,type,
    sP2943: ( product_prod(vEBT_VEBT,nat) * $o ) > $o ).

tff(pred_def_1312,type,
    sP2944: ( product_prod(vEBT_VEBT,nat) * $o ) > $o ).

tff(pred_def_1313,type,
    sP2945: ( product_prod(vEBT_VEBT,nat) * $o ) > $o ).

tff(pred_def_1314,type,
    sP2946: ( product_prod(vEBT_VEBT,nat) * $o ) > $o ).

tff(pred_def_1315,type,
    sP2947: ( product_prod(vEBT_VEBT,nat) * $o ) > $o ).

tff(pred_def_1316,type,
    sP2948: ( product_prod(vEBT_VEBT,nat) * $o ) > $o ).

tff(pred_def_1317,type,
    sP2949: ( product_prod(vEBT_VEBT,nat) * $o ) > $o ).

tff(pred_def_1318,type,
    sP2950: ( product_prod(vEBT_VEBT,nat) * $o ) > $o ).

tff(pred_def_1319,type,
    sP2951: ( product_prod(vEBT_VEBT,nat) * $o ) > $o ).

tff(pred_def_1320,type,
    sP2952: ( product_prod(vEBT_VEBT,nat) * $o ) > $o ).

tff(pred_def_1321,type,
    sP2953: ( product_prod(vEBT_VEBT,nat) * $o ) > $o ).

tff(pred_def_1322,type,
    sP2954: ( product_prod(vEBT_VEBT,nat) * $o ) > $o ).

tff(pred_def_1323,type,
    sP2955: ( product_prod(vEBT_VEBT,nat) * $o ) > $o ).

tff(pred_def_1324,type,
    sP2956: ( product_prod(vEBT_VEBT,nat) * $o ) > $o ).

tff(pred_def_1325,type,
    sP2957: ( product_prod(vEBT_VEBT,nat) * $o ) > $o ).

tff(pred_def_1326,type,
    sP2958: ( product_prod(vEBT_VEBT,nat) * $o ) > $o ).

tff(pred_def_1327,type,
    sP2959: ( product_prod(vEBT_VEBT,nat) * $o ) > $o ).

tff(pred_def_1328,type,
    sP2960: ( product_prod(vEBT_VEBT,nat) * $o ) > $o ).

tff(pred_def_1329,type,
    sP2961: ( product_prod(vEBT_VEBT,nat) * $o ) > $o ).

tff(pred_def_1330,type,
    sP2962: ( product_prod(vEBT_VEBT,nat) * $o ) > $o ).

tff(pred_def_1331,type,
    sP2963: ( product_prod(vEBT_VEBT,nat) * $o ) > $o ).

tff(pred_def_1332,type,
    sP2964: ( product_prod(vEBT_VEBT,nat) * $o ) > $o ).

tff(pred_def_1333,type,
    sP2965: ( product_prod(vEBT_VEBT,nat) * $o ) > $o ).

tff(pred_def_1334,type,
    sP2966: ( product_prod(vEBT_VEBT,nat) * $o ) > $o ).

tff(pred_def_1335,type,
    sP2967: ( product_prod(vEBT_VEBT,nat) * $o ) > $o ).

tff(pred_def_1336,type,
    sP2968: ( product_prod(vEBT_VEBT,nat) * $o ) > $o ).

tff(pred_def_1337,type,
    sP2969: ( product_prod(vEBT_VEBT,nat) * $o ) > $o ).

tff(pred_def_1338,type,
    sP2970: ( product_prod(vEBT_VEBT,nat) * $o ) > $o ).

tff(pred_def_1339,type,
    sP2971: ( product_prod(vEBT_VEBT,nat) * $o ) > $o ).

tff(pred_def_1340,type,
    sP2972: ( product_prod(vEBT_VEBT,nat) * $o ) > $o ).

tff(pred_def_1341,type,
    sP2973: ( product_prod(vEBT_VEBT,nat) * $o ) > $o ).

tff(pred_def_1342,type,
    sP2974: ( product_prod(vEBT_VEBT,nat) * $o ) > $o ).

tff(pred_def_1343,type,
    sK2977: vEBT_VEBT > $o ).

tff(pred_def_1344,type,
    sK2978: vEBT_VEBT > $o ).

tff(pred_def_1345,type,
    sP2997: 
      !>[X0: $tType,X1: $tType] : ( ( X1 * fun(X1,$o) * fun(X0,$o) * fun(X1,X0) ) > $o ) ).

tff(pred_def_1346,type,
    sK3010: ( vEBT_VEBT * nat ) > $o ).

tff(pred_def_1347,type,
    sK3011: ( vEBT_VEBT * nat ) > $o ).

tff(pred_def_1348,type,
    sP3017: ( nat * list(vEBT_VEBT) * vEBT_VEBT * nat * nat * nat * vEBT_VEBT ) > $o ).

tff(pred_def_1349,type,
    sP3018: $o > $o ).

tff(pred_def_1350,type,
    sP3019: $o > $o ).

tff(pred_def_1351,type,
    sP3020: $o > $o ).

tff(pred_def_1352,type,
    sP3021: $o > $o ).

tff(pred_def_1353,type,
    sK3037: product_prod(vEBT_VEBT,nat) > $o ).

tff(pred_def_1354,type,
    sK3038: product_prod(vEBT_VEBT,nat) > $o ).

tff(pred_def_1355,type,
    sK3048: product_prod(vEBT_VEBT,nat) > $o ).

tff(pred_def_1356,type,
    sK3049: product_prod(vEBT_VEBT,nat) > $o ).

tff(pred_def_1357,type,
    sK3060: product_prod(vEBT_VEBT,nat) > $o ).

tff(pred_def_1358,type,
    sK3061: product_prod(vEBT_VEBT,nat) > $o ).

tff(pred_def_1359,type,
    sP3062: ( $o * $o * product_prod(vEBT_VEBT,nat) ) > $o ).

tff(pred_def_1360,type,
    sP3063: $o > $o ).

tff(pred_def_1361,type,
    sP3064: $o > $o ).

tff(pred_def_1362,type,
    sP3065: $o > $o ).

tff(pred_def_1363,type,
    sP3066: $o > $o ).

tff(pred_def_1364,type,
    sP3067: ( product_prod(vEBT_VEBT,nat) * $o ) > $o ).

tff(pred_def_1365,type,
    sP3068: ( product_prod(vEBT_VEBT,nat) * $o ) > $o ).

tff(pred_def_1366,type,
    sP3069: ( product_prod(vEBT_VEBT,nat) * $o ) > $o ).

tff(pred_def_1367,type,
    sP3070: ( product_prod(vEBT_VEBT,nat) * $o ) > $o ).

tff(pred_def_1368,type,
    sP3071: ( product_prod(vEBT_VEBT,nat) * $o ) > $o ).

tff(pred_def_1369,type,
    sP3072: ( product_prod(vEBT_VEBT,nat) * $o ) > $o ).

tff(pred_def_1370,type,
    sP3073: ( product_prod(vEBT_VEBT,nat) * $o ) > $o ).

tff(pred_def_1371,type,
    sP3074: ( product_prod(vEBT_VEBT,nat) * $o ) > $o ).

tff(pred_def_1372,type,
    sP3075: ( product_prod(vEBT_VEBT,nat) * $o ) > $o ).

tff(pred_def_1373,type,
    sP3076: ( product_prod(vEBT_VEBT,nat) * $o ) > $o ).

tff(pred_def_1374,type,
    sP3077: ( product_prod(vEBT_VEBT,nat) * $o ) > $o ).

tff(pred_def_1375,type,
    sP3078: ( product_prod(vEBT_VEBT,nat) * $o ) > $o ).

tff(pred_def_1376,type,
    sP3079: ( product_prod(vEBT_VEBT,nat) * $o ) > $o ).

tff(pred_def_1377,type,
    sP3080: ( product_prod(vEBT_VEBT,nat) * $o ) > $o ).

tff(pred_def_1378,type,
    sP3081: ( product_prod(vEBT_VEBT,nat) * $o ) > $o ).

tff(pred_def_1379,type,
    sP3082: ( product_prod(vEBT_VEBT,nat) * $o ) > $o ).

tff(pred_def_1380,type,
    sP3083: ( product_prod(vEBT_VEBT,nat) * $o ) > $o ).

tff(pred_def_1381,type,
    sP3084: ( product_prod(vEBT_VEBT,nat) * $o ) > $o ).

tff(pred_def_1382,type,
    sP3085: ( product_prod(vEBT_VEBT,nat) * $o ) > $o ).

tff(pred_def_1383,type,
    sP3086: ( product_prod(vEBT_VEBT,nat) * $o ) > $o ).

tff(pred_def_1384,type,
    sP3087: ( product_prod(vEBT_VEBT,nat) * $o ) > $o ).

tff(pred_def_1385,type,
    sP3088: ( product_prod(vEBT_VEBT,nat) * $o ) > $o ).

tff(pred_def_1386,type,
    sP3089: ( product_prod(vEBT_VEBT,nat) * $o ) > $o ).

tff(pred_def_1387,type,
    sP3090: ( product_prod(vEBT_VEBT,nat) * $o ) > $o ).

tff(pred_def_1388,type,
    sP3091: ( product_prod(vEBT_VEBT,nat) * $o ) > $o ).

tff(pred_def_1389,type,
    sP3092: ( product_prod(vEBT_VEBT,nat) * $o ) > $o ).

tff(pred_def_1390,type,
    sP3093: ( product_prod(vEBT_VEBT,nat) * $o ) > $o ).

tff(pred_def_1391,type,
    sP3094: ( product_prod(vEBT_VEBT,nat) * $o ) > $o ).

tff(pred_def_1392,type,
    sP3095: ( product_prod(vEBT_VEBT,nat) * $o ) > $o ).

tff(pred_def_1393,type,
    sP3096: ( product_prod(vEBT_VEBT,nat) * $o ) > $o ).

tff(pred_def_1394,type,
    sP3097: ( product_prod(vEBT_VEBT,nat) * $o ) > $o ).

tff(pred_def_1395,type,
    sP3098: ( product_prod(vEBT_VEBT,nat) * $o ) > $o ).

tff(pred_def_1396,type,
    sP3099: ( product_prod(vEBT_VEBT,nat) * $o ) > $o ).

tff(pred_def_1397,type,
    sP3100: ( product_prod(vEBT_VEBT,nat) * $o ) > $o ).

tff(pred_def_1398,type,
    sP3101: ( product_prod(vEBT_VEBT,nat) * $o ) > $o ).

tff(pred_def_1399,type,
    sP3102: ( product_prod(vEBT_VEBT,nat) * $o ) > $o ).

tff(pred_def_1400,type,
    sP3103: ( product_prod(vEBT_VEBT,nat) * $o ) > $o ).

tff(pred_def_1401,type,
    sP3104: ( product_prod(vEBT_VEBT,nat) * $o ) > $o ).

tff(pred_def_1402,type,
    sP3105: ( product_prod(vEBT_VEBT,nat) * $o ) > $o ).

tff(pred_def_1403,type,
    sP3106: ( product_prod(vEBT_VEBT,nat) * $o ) > $o ).

tff(pred_def_1404,type,
    sP3107: ( product_prod(vEBT_VEBT,nat) * $o ) > $o ).

tff(pred_def_1405,type,
    sP3108: ( product_prod(vEBT_VEBT,nat) * $o ) > $o ).

tff(pred_def_1406,type,
    sP3109: ( product_prod(vEBT_VEBT,nat) * $o ) > $o ).

tff(pred_def_1407,type,
    sP3110: ( product_prod(vEBT_VEBT,nat) * $o ) > $o ).

tff(pred_def_1408,type,
    sP3111: ( product_prod(vEBT_VEBT,nat) * $o ) > $o ).

tff(pred_def_1409,type,
    sP3112: ( product_prod(vEBT_VEBT,nat) * $o ) > $o ).

tff(pred_def_1410,type,
    sP3113: ( product_prod(vEBT_VEBT,nat) * $o ) > $o ).

tff(pred_def_1411,type,
    sP3114: ( product_prod(vEBT_VEBT,nat) * $o ) > $o ).

tff(pred_def_1412,type,
    sP3127: ( nat * list(vEBT_VEBT) * nat * vEBT_VEBT * vEBT_VEBT * nat ) > $o ).

tff(pred_def_1413,type,
    sP3146: ( $o * $o ) > $o ).

tff(pred_def_1414,type,
    sP3147: ( $o * $o ) > $o ).

tff(pred_def_1415,type,
    sP3148: ( $o * $o ) > $o ).

tff(pred_def_1416,type,
    sP3149: ( $o * $o ) > $o ).

tff(pred_def_1417,type,
    sP3154: $o > $o ).

tff(pred_def_1418,type,
    sP3155: $o > $o ).

tff(pred_def_1419,type,
    sK3157: 
      !>[X0: $tType] : ( fun(X0,$o) > $o ) ).

tff(pred_def_1420,type,
    sP3174: ( nat * nat * vEBT_VEBT ) > $o ).

tff(pred_def_1421,type,
    sP3175: ( nat * vEBT_VEBT ) > $o ).

tff(pred_def_1422,type,
    sP3176: ( nat * nat * vEBT_VEBT ) > $o ).

tff(pred_def_1423,type,
    sP3177: ( list(vEBT_VEBT) * nat * nat * vEBT_VEBT * nat * nat * nat * vEBT_VEBT ) > $o ).

tff(pred_def_1424,type,
    sK3181: vEBT_VEBT > $o ).

tff(pred_def_1425,type,
    sK3182: vEBT_VEBT > $o ).

tff(pred_def_1426,type,
    sK3186: ( vEBT_VEBT * nat * nat ) > $o ).

tff(pred_def_1427,type,
    sK3187: ( vEBT_VEBT * nat * nat ) > $o ).

tff(pred_def_1428,type,
    sK3188: vEBT_VEBT > $o ).

tff(pred_def_1429,type,
    sK3189: vEBT_VEBT > $o ).

tff(pred_def_1430,type,
    sP3193: $o > $o ).

tff(pred_def_1431,type,
    sP3194: $o > $o ).

tff(pred_def_1432,type,
    sP3202: ( real * fun(real,real) * real * fun(real,real) * real ) > $o ).

tff(pred_def_1433,type,
    sP3203: ( real * real * fun(real,real) * real ) > $o ).

tff(pred_def_1434,type,
    sP3204: ( real * real * fun(real,real) * fun(real,real) * real ) > $o ).

tff(pred_def_1435,type,
    sP3211: ( num * num * option(num) ) > $o ).

tff(pred_def_1436,type,
    sP3212: ( num * num * option(num) ) > $o ).

tff(pred_def_1437,type,
    sP3213: ( num * num * num * option(num) ) > $o ).

tff(pred_def_1438,type,
    sP3214: ( num * num * num * option(num) ) > $o ).

tff(pred_def_1439,type,
    sP3215: ( num * num * num * option(num) ) > $o ).

tff(pred_def_1440,type,
    sP3216: ( num * num * num * option(num) ) > $o ).

tff(pred_def_1441,type,
    sP3218: ( num * num * num * option(num) ) > $o ).

tff(pred_def_1442,type,
    sK3234: ( nat * vEBT_VEBT ) > $o ).

tff(pred_def_1443,type,
    sK3235: ( nat * vEBT_VEBT ) > $o ).

tff(pred_def_1444,type,
    sP3237: $o > $o ).

tff(pred_def_1445,type,
    sP3238: $o > $o ).

tff(pred_def_1446,type,
    sP3239: ( nat * list(vEBT_VEBT) * nat ) > $o ).

tff(pred_def_1447,type,
    sP3244: ( nat * nat ) > $o ).

tff(pred_def_1448,type,
    sP3245: ( nat * list(vEBT_VEBT) * vEBT_VEBT ) > $o ).

tff(pred_def_1449,type,
    sP3246: ( vEBT_VEBT * list(vEBT_VEBT) ) > $o ).

tff(pred_def_1450,type,
    sP3247: ( nat * list(vEBT_VEBT) * nat * nat * nat ) > $o ).

tff(pred_def_1451,type,
    sK3256: ( nat * vEBT_VEBT * nat ) > $o ).

tff(pred_def_1452,type,
    sK3257: ( nat * vEBT_VEBT * nat ) > $o ).

tff(pred_def_1453,type,
    sK3272: ( nat * vEBT_VEBT * nat ) > $o ).

tff(pred_def_1454,type,
    sK3273: ( nat * vEBT_VEBT * nat ) > $o ).

tff(pred_def_1455,type,
    sP3274: ( vEBT_VEBT * product_prod(nat,nat) * list(vEBT_VEBT) * nat * vEBT_VEBT * nat ) > $o ).

tff(pred_def_1456,type,
    sP3275: ( product_prod(nat,nat) * vEBT_VEBT * list(vEBT_VEBT) * nat * vEBT_VEBT * nat ) > $o ).

tff(pred_def_1457,type,
    sP3276: ( $o * $o * nat * vEBT_VEBT * nat ) > $o ).

tff(pred_def_1458,type,
    sP3277: ( $o * $o * nat * nat ) > $o ).

tff(pred_def_1459,type,
    sP3278: ( $o * $o * vEBT_VEBT ) > $o ).

tff(pred_def_1460,type,
    sP3280: ( nat * nat ) > $o ).

tff(pred_def_1461,type,
    sP3281: ( nat * vEBT_VEBT * nat * $o ) > $o ).

tff(pred_def_1462,type,
    sP3282: ( nat * vEBT_VEBT * nat * $o ) > $o ).

tff(pred_def_1463,type,
    sP3283: ( nat * vEBT_VEBT * nat * $o ) > $o ).

tff(pred_def_1464,type,
    sP3284: ( nat * vEBT_VEBT * nat * $o ) > $o ).

tff(pred_def_1465,type,
    sP3285: ( nat * vEBT_VEBT * nat * $o ) > $o ).

tff(pred_def_1466,type,
    sP3286: ( nat * vEBT_VEBT * nat * $o ) > $o ).

tff(pred_def_1467,type,
    sP3287: ( nat * vEBT_VEBT * nat * $o ) > $o ).

tff(pred_def_1468,type,
    sP3288: ( nat * vEBT_VEBT * nat * $o ) > $o ).

tff(pred_def_1469,type,
    sP3289: ( nat * vEBT_VEBT * nat * $o ) > $o ).

tff(pred_def_1470,type,
    sP3290: ( nat * vEBT_VEBT * nat * $o ) > $o ).

tff(pred_def_1471,type,
    sP3291: ( nat * vEBT_VEBT * nat * $o ) > $o ).

tff(pred_def_1472,type,
    sP3292: ( nat * vEBT_VEBT * nat * $o ) > $o ).

tff(pred_def_1473,type,
    sP3293: ( nat * vEBT_VEBT * nat * $o ) > $o ).

tff(pred_def_1474,type,
    sP3294: ( nat * vEBT_VEBT * nat * $o ) > $o ).

tff(pred_def_1475,type,
    sP3295: ( nat * vEBT_VEBT * nat * $o ) > $o ).

tff(pred_def_1476,type,
    sP3296: ( nat * vEBT_VEBT * nat * $o ) > $o ).

tff(pred_def_1477,type,
    sP3297: ( nat * vEBT_VEBT * nat * $o ) > $o ).

tff(pred_def_1478,type,
    sP3298: ( nat * vEBT_VEBT * nat * $o ) > $o ).

tff(pred_def_1479,type,
    sP3299: ( nat * vEBT_VEBT * nat * $o ) > $o ).

tff(pred_def_1480,type,
    sP3300: ( nat * vEBT_VEBT * nat * $o ) > $o ).

tff(pred_def_1481,type,
    sP3301: ( nat * vEBT_VEBT * nat * $o ) > $o ).

tff(pred_def_1482,type,
    sP3302: ( nat * vEBT_VEBT * nat * $o ) > $o ).

tff(pred_def_1483,type,
    sP3303: ( nat * vEBT_VEBT * nat * $o ) > $o ).

tff(pred_def_1484,type,
    sP3304: ( nat * vEBT_VEBT * nat * $o ) > $o ).

tff(pred_def_1485,type,
    sP3305: ( nat * vEBT_VEBT * nat * $o ) > $o ).

tff(pred_def_1486,type,
    sP3306: ( nat * vEBT_VEBT * nat * $o ) > $o ).

tff(pred_def_1487,type,
    sP3307: ( nat * vEBT_VEBT * nat * $o ) > $o ).

tff(pred_def_1488,type,
    sP3308: ( nat * vEBT_VEBT * nat * $o ) > $o ).

tff(pred_def_1489,type,
    sP3309: ( nat * vEBT_VEBT * nat * $o ) > $o ).

tff(pred_def_1490,type,
    sP3310: ( nat * vEBT_VEBT * nat * $o ) > $o ).

tff(pred_def_1491,type,
    sP3311: ( nat * vEBT_VEBT * nat * $o ) > $o ).

tff(pred_def_1492,type,
    sP3312: ( nat * vEBT_VEBT * nat * $o ) > $o ).

tff(pred_def_1493,type,
    sP3313: ( nat * vEBT_VEBT * nat * $o ) > $o ).

tff(pred_def_1494,type,
    sP3314: ( nat * vEBT_VEBT * nat * $o ) > $o ).

tff(pred_def_1495,type,
    sP3315: ( nat * vEBT_VEBT * nat * $o ) > $o ).

tff(pred_def_1496,type,
    sP3316: ( nat * vEBT_VEBT * nat * $o ) > $o ).

tff(pred_def_1497,type,
    sP3317: ( nat * vEBT_VEBT * nat * $o ) > $o ).

tff(pred_def_1498,type,
    sP3318: ( nat * vEBT_VEBT * nat * $o ) > $o ).

tff(pred_def_1499,type,
    sP3319: ( nat * vEBT_VEBT * nat * $o ) > $o ).

tff(pred_def_1500,type,
    sP3320: ( nat * vEBT_VEBT * nat * $o ) > $o ).

tff(pred_def_1501,type,
    sP3321: ( nat * vEBT_VEBT * nat * $o ) > $o ).

tff(pred_def_1502,type,
    sP3322: ( nat * vEBT_VEBT * nat * $o ) > $o ).

tff(pred_def_1503,type,
    sP3380: ( num * num * num ) > $o ).

tff(pred_def_1504,type,
    sP3381: ( num * num * num ) > $o ).

tff(pred_def_1505,type,
    sP3382: ( num * num * num ) > $o ).

tff(pred_def_1506,type,
    sP3383: ( num * num * num ) > $o ).

tff(pred_def_1507,type,
    sP3384: ( num * num ) > $o ).

tff(pred_def_1508,type,
    sP3385: ( num * num * num * num ) > $o ).

tff(pred_def_1509,type,
    sP3386: ( num * num * num * num ) > $o ).

tff(pred_def_1510,type,
    sK3414: ( vEBT_VEBT * nat * $o ) > $o ).

tff(pred_def_1511,type,
    sK3415: ( vEBT_VEBT * nat * $o ) > $o ).

tff(pred_def_1512,type,
    sP3416: $o > $o ).

tff(pred_def_1513,type,
    sP3417: $o > $o ).

tff(pred_def_1514,type,
    sP3418: ( nat * option(product_prod(nat,nat)) * list(vEBT_VEBT) * vEBT_VEBT * nat ) > $o ).

tff(pred_def_1515,type,
    sP3419: $o > $o ).

tff(pred_def_1516,type,
    sP3420: $o > $o ).

tff(pred_def_1517,type,
    sP3421: $o > $o ).

tff(pred_def_1518,type,
    sP3422: $o > $o ).

tff(pred_def_1519,type,
    sP3423: $o > $o ).

tff(pred_def_1520,type,
    sP3438: ( nat * list(vEBT_VEBT) * nat * nat * nat * vEBT_VEBT * nat ) > $o ).

tff(pred_def_1521,type,
    sP3439: ( nat * list(vEBT_VEBT) * nat * nat * vEBT_VEBT * nat ) > $o ).

tff(pred_def_1522,type,
    sP3440: ( nat * list(vEBT_VEBT) * nat * nat * vEBT_VEBT * nat ) > $o ).

tff(pred_def_1523,type,
    sP3441: ( nat * list(vEBT_VEBT) * nat * nat * nat * vEBT_VEBT * nat ) > $o ).

tff(pred_def_1524,type,
    sP3442: ( nat * list(vEBT_VEBT) * nat * nat * vEBT_VEBT * nat ) > $o ).

tff(pred_def_1525,type,
    sP3443: ( nat * list(vEBT_VEBT) * nat * nat * nat * vEBT_VEBT * nat ) > $o ).

tff(pred_def_1526,type,
    sP3444: ( nat * list(vEBT_VEBT) * nat * nat * vEBT_VEBT * nat ) > $o ).

tff(pred_def_1527,type,
    sP3445: ( nat * list(vEBT_VEBT) * nat * nat * vEBT_VEBT * nat ) > $o ).

tff(pred_def_1528,type,
    sP3446: ( nat * list(vEBT_VEBT) * nat * nat * nat * vEBT_VEBT * nat ) > $o ).

tff(pred_def_1529,type,
    sP3447: ( nat * list(vEBT_VEBT) * nat * nat * vEBT_VEBT * nat ) > $o ).

tff(pred_def_1530,type,
    sP3448: ( nat * list(vEBT_VEBT) * nat * nat * vEBT_VEBT * nat ) > $o ).

tff(pred_def_1531,type,
    sP3449: ( nat * list(vEBT_VEBT) * nat * nat * vEBT_VEBT * nat ) > $o ).

tff(pred_def_1532,type,
    sP3450: ( nat * list(vEBT_VEBT) * nat * nat * vEBT_VEBT * nat ) > $o ).

tff(pred_def_1533,type,
    sP3451: ( nat * list(vEBT_VEBT) * nat * nat * vEBT_VEBT * nat ) > $o ).

tff(pred_def_1534,type,
    sP3452: ( nat * list(vEBT_VEBT) * nat * nat * vEBT_VEBT * nat ) > $o ).

tff(pred_def_1535,type,
    sP3453: ( nat * list(vEBT_VEBT) * nat * nat * vEBT_VEBT * nat ) > $o ).

tff(pred_def_1536,type,
    sP3454: ( nat * list(vEBT_VEBT) * nat * nat * vEBT_VEBT * nat ) > $o ).

tff(pred_def_1537,type,
    sP3455: ( nat * list(vEBT_VEBT) * nat * nat * vEBT_VEBT * nat ) > $o ).

tff(pred_def_1538,type,
    sP3456: ( nat * list(vEBT_VEBT) * nat * nat * vEBT_VEBT * nat ) > $o ).

tff(pred_def_1539,type,
    sP3457: ( nat * list(vEBT_VEBT) * nat * nat * vEBT_VEBT * nat ) > $o ).

tff(pred_def_1540,type,
    sP3458: ( nat * list(vEBT_VEBT) * nat * nat * vEBT_VEBT * nat ) > $o ).

tff(pred_def_1541,type,
    sP3459: ( nat * list(vEBT_VEBT) * nat * nat * vEBT_VEBT * nat ) > $o ).

tff(pred_def_1542,type,
    sK3463: ( vEBT_VEBT * option(nat) ) > $o ).

tff(pred_def_1543,type,
    sK3464: ( vEBT_VEBT * option(nat) ) > $o ).

tff(pred_def_1544,type,
    sP3469: ( nat * vEBT_VEBT ) > $o ).

tff(pred_def_1545,type,
    sP3470: $o > $o ).

tff(pred_def_1546,type,
    sP3471: $o > $o ).

tff(pred_def_1547,type,
    sP3486: $o > $o ).

tff(pred_def_1548,type,
    sP3487: $o > $o ).

tff(pred_def_1549,type,
    sK3526: vEBT_VEBT > $o ).

tff(pred_def_1550,type,
    sK3527: vEBT_VEBT > $o ).

tff(pred_def_1551,type,
    sP3528: ( nat * list(vEBT_VEBT) * nat * nat * vEBT_VEBT * vEBT_VEBT * nat ) > $o ).

tff(pred_def_1552,type,
    sP3529: ( list(vEBT_VEBT) * nat * vEBT_VEBT * vEBT_VEBT * nat ) > $o ).

tff(pred_def_1553,type,
    sP3530: ( list(vEBT_VEBT) * nat * vEBT_VEBT * nat * nat * vEBT_VEBT * nat ) > $o ).

tff(pred_def_1554,type,
    sP3534: $o > $o ).

tff(pred_def_1555,type,
    sP3535: $o > $o ).

tff(pred_def_1556,type,
    sP3544: ( nat * list(vEBT_VEBT) * nat * nat ) > $o ).

tff(pred_def_1557,type,
    sP3545: list(vEBT_VEBT) > $o ).

tff(pred_def_1558,type,
    sP3547: list(vEBT_VEBT) > $o ).

tff(pred_def_1559,type,
    sP3551: ( nat * list(vEBT_VEBT) * nat * nat * nat ) > $o ).

tff(pred_def_1560,type,
    sP3553: ( nat * list(vEBT_VEBT) ) > $o ).

tff(pred_def_1561,type,
    sP3554: ( nat * list(vEBT_VEBT) ) > $o ).

tff(pred_def_1562,type,
    sK3579: product_prod(vEBT_VEBT,nat) > $o ).

tff(pred_def_1563,type,
    sK3580: product_prod(vEBT_VEBT,nat) > $o ).

tff(pred_def_1564,type,
    sP3624: ( num * option(num) * num ) > $o ).

tff(pred_def_1565,type,
    sP3625: ( num * num * option(num) * num ) > $o ).

tff(pred_def_1566,type,
    sP3626: ( num * num * option(num) * num ) > $o ).

tff(pred_def_1567,type,
    sP3627: ( num * num * option(num) * num ) > $o ).

tff(pred_def_1568,type,
    sP3629: ( num * num * option(num) * num ) > $o ).

tff(pred_def_1569,type,
    sP3631: ( num * num * option(num) * num ) > $o ).

tff(pred_def_1570,type,
    sP3633: ( num * option(num) * num ) > $o ).

tff(pred_def_1571,type,
    sP3641: 
      !>[X0: $tType] : ( ( X0 * fun(X0,$o) * fun(X0,$o) ) > $o ) ).

tff(pred_def_1572,type,
    sP3642: 
      !>[X0: $tType] : ( ( X0 * fun(X0,$o) * fun(X0,$o) ) > $o ) ).

tff(pred_def_1573,type,
    sP3643: 
      !>[X0: $tType] : ( ( X0 * fun(X0,$o) ) > $o ) ).

tff(pred_def_1574,type,
    sP3644: 
      !>[X0: $tType] : ( ( X0 * fun(X0,$o) ) > $o ) ).

tff(pred_def_1575,type,
    sP3645: 
      !>[X0: $tType] : ( ( X0 * fun(X0,$o) ) > $o ) ).

tff(pred_def_1576,type,
    sP3646: 
      !>[X0: $tType] : ( ( X0 * fun(X0,$o) ) > $o ) ).

tff(pred_def_1577,type,
    sP3650: $o > $o ).

tff(pred_def_1578,type,
    sP3668: ( option(num) * num * num ) > $o ).

tff(pred_def_1579,type,
    sP3669: ( option(num) * num * num ) > $o ).

tff(pred_def_1580,type,
    sP3670: ( num * option(num) * num * num ) > $o ).

tff(pred_def_1581,type,
    sP3671: ( num * option(num) * num * num ) > $o ).

tff(pred_def_1582,type,
    sP3673: ( num * option(num) * num * num ) > $o ).

tff(pred_def_1583,type,
    sP3674: ( num * option(num) * num * num ) > $o ).

tff(pred_def_1584,type,
    sP3678: ( num * option(num) * num ) > $o ).

tff(pred_def_1585,type,
    sK3696: ( option(nat) * vEBT_VEBT ) > $o ).

tff(pred_def_1586,type,
    sK3697: ( option(nat) * vEBT_VEBT ) > $o ).

tff(pred_def_1587,type,
    sP3704: $o > $o ).

tff(pred_def_1588,type,
    sP3705: $o > $o ).

tff(pred_def_1589,type,
    sK3722: vEBT_VEBT > $o ).

tff(pred_def_1590,type,
    sK3723: vEBT_VEBT > $o ).

tff(pred_def_1591,type,
    sP3724: ( nat * nat * vEBT_VEBT * nat * $o ) > $o ).

tff(pred_def_1592,type,
    sP3725: $o > $o ).

tff(pred_def_1593,type,
    sP3726: ( list(vEBT_VEBT) * nat * vEBT_VEBT * nat * $o ) > $o ).

tff(pred_def_1594,type,
    sP3730: ( $o * $o * vEBT_VEBT ) > $o ).

tff(pred_def_1595,type,
    sP3731: ( nat * nat * list(vEBT_VEBT) * nat * nat ) > $o ).

tff(pred_def_1596,type,
    sP3732: $o > $o ).

tff(pred_def_1597,type,
    sK3743: ( vEBT_VEBT * nat ) > $o ).

tff(pred_def_1598,type,
    sK3744: ( vEBT_VEBT * nat ) > $o ).

tff(pred_def_1599,type,
    sP3757: ( vEBT_VEBT * list(vEBT_VEBT) * nat * nat * vEBT_VEBT ) > $o ).

tff(pred_def_1600,type,
    sP3758: ( nat * list(vEBT_VEBT) * vEBT_VEBT * nat * nat * vEBT_VEBT ) > $o ).

tff(pred_def_1601,type,
    sP3759: ( $o * $o * nat ) > $o ).

tff(pred_def_1602,type,
    sP3760: ( $o * $o * vEBT_VEBT ) > $o ).

tff(pred_def_1603,type,
    sK3778: ( nat * vEBT_VEBT ) > $o ).

tff(pred_def_1604,type,
    sK3779: ( nat * vEBT_VEBT ) > $o ).

tff(pred_def_1605,type,
    sP3784: ( vEBT_VEBT * list(vEBT_VEBT) * nat * option(product_prod(nat,nat)) ) > $o ).

tff(pred_def_1606,type,
    sP3785: $o > $o ).

tff(pred_def_1607,type,
    sP3786: $o > $o ).

tff(pred_def_1608,type,
    sP3787: $o > $o ).

tff(pred_def_1609,type,
    sP3788: $o > $o ).

tff(pred_def_1610,type,
    sK3811: ( nat * nat * vEBT_VEBT ) > $o ).

tff(pred_def_1611,type,
    sK3812: ( nat * nat * vEBT_VEBT ) > $o ).

tff(pred_def_1612,type,
    sP3827: ( product_prod(nat,nat) * vEBT_VEBT * list(vEBT_VEBT) * vEBT_VEBT * nat * nat ) > $o ).

tff(pred_def_1613,type,
    sP3828: ( vEBT_VEBT * list(vEBT_VEBT) * product_prod(nat,nat) * vEBT_VEBT * nat * nat ) > $o ).

tff(pred_def_1614,type,
    sP3829: ( nat * vEBT_VEBT * list(vEBT_VEBT) * vEBT_VEBT * nat * nat ) > $o ).

tff(pred_def_1615,type,
    sP3830: ( list(vEBT_VEBT) * nat * nat * nat * nat * nat ) > $o ).

tff(pred_def_1616,type,
    sP3831: $o > $o ).

tff(pred_def_1617,type,
    sP3832: $o > $o ).

tff(pred_def_1618,type,
    sP3833: $o > $o ).

tff(pred_def_1619,type,
    sP3834: $o > $o ).

tff(pred_def_1620,type,
    sK3856: ( nat * vEBT_VEBT * nat ) > $o ).

tff(pred_def_1621,type,
    sK3857: ( nat * vEBT_VEBT * nat ) > $o ).

tff(pred_def_1622,type,
    sK3858: ( nat * vEBT_VEBT * nat ) > $o ).

tff(pred_def_1623,type,
    sK3859: ( nat * vEBT_VEBT * nat ) > $o ).

tff(pred_def_1624,type,
    sK3860: ( nat * vEBT_VEBT * nat ) > $o ).

tff(pred_def_1625,type,
    sK3861: ( nat * vEBT_VEBT * nat ) > $o ).

tff(pred_def_1626,type,
    sP3862: ( product_prod(nat,nat) * list(vEBT_VEBT) * vEBT_VEBT * nat * vEBT_VEBT * nat ) > $o ).

tff(pred_def_1627,type,
    sP3863: ( product_prod(nat,nat) * vEBT_VEBT * list(vEBT_VEBT) * nat * vEBT_VEBT * nat ) > $o ).

tff(pred_def_1628,type,
    sP3864: ( $o * $o * nat * vEBT_VEBT * nat ) > $o ).

tff(pred_def_1629,type,
    sP3865: ( $o * $o * nat * vEBT_VEBT * nat ) > $o ).

tff(pred_def_1630,type,
    sP3866: ( $o * $o * nat * vEBT_VEBT * nat ) > $o ).

tff(pred_def_1631,type,
    sP3868: ( nat * vEBT_VEBT * nat * $o ) > $o ).

tff(pred_def_1632,type,
    sP3869: ( nat * vEBT_VEBT * nat * $o ) > $o ).

tff(pred_def_1633,type,
    sP3870: ( nat * vEBT_VEBT * nat * $o ) > $o ).

tff(pred_def_1634,type,
    sP3871: ( nat * vEBT_VEBT * nat * $o ) > $o ).

tff(pred_def_1635,type,
    sP3872: ( nat * vEBT_VEBT * nat * $o ) > $o ).

tff(pred_def_1636,type,
    sP3873: ( nat * vEBT_VEBT * nat * $o ) > $o ).

tff(pred_def_1637,type,
    sP3874: ( nat * vEBT_VEBT * nat * $o ) > $o ).

tff(pred_def_1638,type,
    sP3875: ( nat * vEBT_VEBT * nat * $o ) > $o ).

tff(pred_def_1639,type,
    sP3876: ( nat * vEBT_VEBT * nat * $o ) > $o ).

tff(pred_def_1640,type,
    sP3877: ( nat * vEBT_VEBT * nat * $o ) > $o ).

tff(pred_def_1641,type,
    sP3878: ( nat * vEBT_VEBT * nat * $o ) > $o ).

tff(pred_def_1642,type,
    sP3879: ( nat * vEBT_VEBT * nat * $o ) > $o ).

tff(pred_def_1643,type,
    sP3880: ( nat * vEBT_VEBT * nat * $o ) > $o ).

tff(pred_def_1644,type,
    sP3881: ( nat * vEBT_VEBT * nat * $o ) > $o ).

tff(pred_def_1645,type,
    sP3882: ( nat * vEBT_VEBT * nat * $o ) > $o ).

tff(pred_def_1646,type,
    sP3883: ( nat * vEBT_VEBT * nat * $o ) > $o ).

tff(pred_def_1647,type,
    sP3884: ( nat * vEBT_VEBT * nat * $o ) > $o ).

tff(pred_def_1648,type,
    sP3885: ( nat * vEBT_VEBT * nat * $o ) > $o ).

tff(pred_def_1649,type,
    sP3886: ( nat * vEBT_VEBT * nat * $o ) > $o ).

tff(pred_def_1650,type,
    sP3887: ( nat * vEBT_VEBT * nat * $o ) > $o ).

tff(pred_def_1651,type,
    sP3888: ( nat * vEBT_VEBT * nat * $o ) > $o ).

tff(pred_def_1652,type,
    sP3889: ( nat * vEBT_VEBT * nat * $o ) > $o ).

tff(pred_def_1653,type,
    sP3890: ( nat * vEBT_VEBT * nat * $o ) > $o ).

tff(pred_def_1654,type,
    sP3891: ( nat * vEBT_VEBT * nat * $o ) > $o ).

tff(pred_def_1655,type,
    sP3892: ( nat * vEBT_VEBT * nat * $o ) > $o ).

tff(pred_def_1656,type,
    sP3893: ( nat * vEBT_VEBT * nat * $o ) > $o ).

tff(pred_def_1657,type,
    sP3894: ( nat * vEBT_VEBT * nat * $o ) > $o ).

tff(pred_def_1658,type,
    sP3895: ( nat * vEBT_VEBT * nat * $o ) > $o ).

tff(pred_def_1659,type,
    sP3896: ( nat * vEBT_VEBT * nat * $o ) > $o ).

tff(pred_def_1660,type,
    sP3897: ( nat * vEBT_VEBT * nat * $o ) > $o ).

tff(pred_def_1661,type,
    sP3898: ( nat * vEBT_VEBT * nat * $o ) > $o ).

tff(pred_def_1662,type,
    sP3899: ( nat * vEBT_VEBT * nat * $o ) > $o ).

tff(pred_def_1663,type,
    sP3900: ( nat * vEBT_VEBT * nat * $o ) > $o ).

tff(pred_def_1664,type,
    sP3901: ( nat * vEBT_VEBT * nat * $o ) > $o ).

tff(pred_def_1665,type,
    sP3902: ( nat * vEBT_VEBT * nat * $o ) > $o ).

tff(pred_def_1666,type,
    sP3903: ( nat * vEBT_VEBT * nat * $o ) > $o ).

tff(pred_def_1667,type,
    sP3904: ( nat * vEBT_VEBT * nat * $o ) > $o ).

tff(pred_def_1668,type,
    sP3905: ( nat * vEBT_VEBT * nat * $o ) > $o ).

tff(pred_def_1669,type,
    sP3906: ( nat * vEBT_VEBT * nat * $o ) > $o ).

tff(pred_def_1670,type,
    sP3907: ( nat * vEBT_VEBT * nat * $o ) > $o ).

tff(pred_def_1671,type,
    sP3908: ( nat * vEBT_VEBT * nat * $o ) > $o ).

tff(pred_def_1672,type,
    sP3909: ( nat * vEBT_VEBT * nat * $o ) > $o ).

tff(pred_def_1673,type,
    sP3910: ( nat * vEBT_VEBT * nat * $o ) > $o ).

tff(pred_def_1674,type,
    sP3911: ( nat * vEBT_VEBT * nat * $o ) > $o ).

tff(pred_def_1675,type,
    sP3912: ( nat * vEBT_VEBT * nat * $o ) > $o ).

tff(pred_def_1676,type,
    sP3913: ( nat * vEBT_VEBT * nat * $o ) > $o ).

tff(pred_def_1677,type,
    sP3914: ( nat * vEBT_VEBT * nat * $o ) > $o ).

tff(pred_def_1678,type,
    sP3915: ( nat * vEBT_VEBT * nat * $o ) > $o ).

tff(pred_def_1679,type,
    sP3916: ( nat * vEBT_VEBT * nat * $o ) > $o ).

tff(pred_def_1680,type,
    sP3917: ( nat * vEBT_VEBT * nat * $o ) > $o ).

tff(pred_def_1681,type,
    sP3918: ( nat * vEBT_VEBT * nat * $o ) > $o ).

tff(pred_def_1682,type,
    sP3919: ( nat * vEBT_VEBT * nat * $o ) > $o ).

tff(pred_def_1683,type,
    sP3920: ( nat * vEBT_VEBT * nat * $o ) > $o ).

tff(pred_def_1684,type,
    sP3921: ( nat * vEBT_VEBT * nat * $o ) > $o ).

tff(pred_def_1685,type,
    sP3922: ( nat * vEBT_VEBT * nat * $o ) > $o ).

tff(pred_def_1686,type,
    sP3923: ( nat * vEBT_VEBT * nat * $o ) > $o ).

tff(pred_def_1687,type,
    sP3924: ( nat * vEBT_VEBT * nat * $o ) > $o ).

tff(pred_def_1688,type,
    sP3925: ( nat * vEBT_VEBT * nat * $o ) > $o ).

tff(pred_def_1689,type,
    sP3926: ( nat * vEBT_VEBT * nat * $o ) > $o ).

tff(pred_def_1690,type,
    sP3927: ( nat * vEBT_VEBT * nat * $o ) > $o ).

tff(pred_def_1691,type,
    sP3928: ( nat * vEBT_VEBT * nat * $o ) > $o ).

tff(pred_def_1692,type,
    sP3929: ( nat * vEBT_VEBT * nat * $o ) > $o ).

tff(pred_def_1693,type,
    sP3930: ( nat * vEBT_VEBT * nat * $o ) > $o ).

tff(pred_def_1694,type,
    sP3931: ( extended_enat * extended_enat * extended_enat ) > $o ).

tff(pred_def_1695,type,
    sP3932: ( extended_enat * extended_enat * extended_enat ) > $o ).

tff(pred_def_1696,type,
    sP3933: ( extended_enat * extended_enat * extended_enat ) > $o ).

tff(pred_def_1697,type,
    sP3934: ( extended_enat * extended_enat * extended_enat ) > $o ).

tff(pred_def_1698,type,
    sP3935: ( extended_enat * extended_enat * extended_enat ) > $o ).

tff(pred_def_1699,type,
    sP3936: ( extended_enat * extended_enat * extended_enat ) > $o ).

tff(pred_def_1700,type,
    sP3989: ( nat * nat * vEBT_VEBT ) > $o ).

tff(pred_def_1701,type,
    sP3990: ( nat * vEBT_VEBT ) > $o ).

tff(pred_def_1702,type,
    sK3992: vEBT_VEBT > $o ).

tff(pred_def_1703,type,
    sK3993: vEBT_VEBT > $o ).

tff(pred_def_1704,type,
    sP3997: ( nat * list(vEBT_VEBT) * vEBT_VEBT * nat * nat * nat * nat * vEBT_VEBT ) > $o ).

tff(pred_def_1705,type,
    sK4001: vEBT_VEBT > $o ).

tff(pred_def_1706,type,
    sK4002: vEBT_VEBT > $o ).

tff(pred_def_1707,type,
    sP4006: $o > $o ).

tff(pred_def_1708,type,
    sP4007: $o > $o ).

tff(pred_def_1709,type,
    sK4033: ( vEBT_VEBT * nat ) > $o ).

tff(pred_def_1710,type,
    sK4034: ( vEBT_VEBT * nat ) > $o ).

tff(pred_def_1711,type,
    sP4035: ( product_prod(nat,nat) * list(vEBT_VEBT) * vEBT_VEBT * nat * vEBT_VEBT ) > $o ).

tff(pred_def_1712,type,
    sP4036: ( $o * $o * nat * vEBT_VEBT ) > $o ).

tff(pred_def_1713,type,
    sP4094: 
      !>[X0: $tType] : ( ( fun(nat,X0) * fun(X0,$o) ) > $o ) ).

tff(pred_def_1714,type,
    sP4095: 
      !>[X0: $tType] : ( ( X0 * fun(X0,$o) ) > $o ) ).

tff(pred_def_1715,type,
    sP4096: 
      !>[X0: $tType] : ( ( X0 * fun(X0,X0) * fun(X0,$o) ) > $o ) ).

tff(pred_def_1716,type,
    sP4102: ( num * num * option(num) ) > $o ).

tff(pred_def_1717,type,
    sP4103: ( num * num * num * option(num) ) > $o ).

tff(pred_def_1718,type,
    sP4104: ( num * num * num * option(num) ) > $o ).

tff(pred_def_1719,type,
    sP4105: ( num * num * num * option(num) ) > $o ).

tff(pred_def_1720,type,
    sP4106: ( num * num * num * option(num) ) > $o ).

tff(pred_def_1721,type,
    sP4108: ( num * num * num * option(num) ) > $o ).

tff(pred_def_1722,type,
    sP4111: ( num * num * option(num) ) > $o ).

tff(pred_def_1723,type,
    sP4138: ( num * num * num ) > $o ).

tff(pred_def_1724,type,
    sP4139: ( num * num * num * num ) > $o ).

tff(pred_def_1725,type,
    sP4141: ( num * num * num * num ) > $o ).

tff(pred_def_1726,type,
    sP4143: ( num * num * num * num ) > $o ).

tff(pred_def_1727,type,
    sP4144: ( num * num * num * num ) > $o ).

tff(pred_def_1728,type,
    sP4145: ( num * num * num * num ) > $o ).

tff(pred_def_1729,type,
    sP4147: ( num * num * num ) > $o ).

tff(pred_def_1730,type,
    sK4174: vEBT_VEBT > $o ).

tff(pred_def_1731,type,
    sK4175: vEBT_VEBT > $o ).

tff(pred_def_1732,type,
    sP4180: ( nat * nat * vEBT_VEBT * nat ) > $o ).

tff(pred_def_1733,type,
    sP4182: ( nat * list(vEBT_VEBT) * nat ) > $o ).

tff(pred_def_1734,type,
    sP4183: ( nat * list(vEBT_VEBT) * vEBT_VEBT ) > $o ).

tff(pred_def_1735,type,
    sP4184: $o > $o ).

tff(pred_def_1736,type,
    sP4185: $o > $o ).

tff(pred_def_1737,type,
    sP4189: ( nat * list(vEBT_VEBT) * nat ) > $o ).

tff(pred_def_1738,type,
    sK4215: ( vEBT_VEBT * nat * vEBT_VEBT ) > $o ).

tff(pred_def_1739,type,
    sK4216: ( vEBT_VEBT * nat * vEBT_VEBT ) > $o ).

tff(pred_def_1740,type,
    sK4221: ( vEBT_VEBT * nat * vEBT_VEBT ) > $o ).

tff(pred_def_1741,type,
    sK4222: ( vEBT_VEBT * nat * vEBT_VEBT ) > $o ).

tff(pred_def_1742,type,
    sK4228: ( vEBT_VEBT * nat * vEBT_VEBT ) > $o ).

tff(pred_def_1743,type,
    sK4229: ( vEBT_VEBT * nat * vEBT_VEBT ) > $o ).

tff(pred_def_1744,type,
    sP4234: ( $o * $o * vEBT_VEBT * nat * vEBT_VEBT ) > $o ).

tff(pred_def_1745,type,
    sP4235: ( vEBT_VEBT * nat * list(vEBT_VEBT) * nat * nat * vEBT_VEBT * nat * vEBT_VEBT ) > $o ).

tff(pred_def_1746,type,
    sP4236: ( $o * $o * vEBT_VEBT * nat * vEBT_VEBT ) > $o ).

tff(pred_def_1747,type,
    sP4237: ( nat * vEBT_VEBT * nat * list(vEBT_VEBT) * vEBT_VEBT * nat * vEBT_VEBT ) > $o ).

tff(pred_def_1748,type,
    sP4238: ( $o * $o * nat * vEBT_VEBT ) > $o ).

tff(pred_def_1749,type,
    sP4239: ( $o * $o * vEBT_VEBT ) > $o ).

tff(pred_def_1750,type,
    sP4241: ( vEBT_VEBT * nat * list(vEBT_VEBT) * nat * nat * nat * nat ) > $o ).

tff(pred_def_1751,type,
    sP4242: ( vEBT_VEBT * nat * list(vEBT_VEBT) * nat * nat * nat ) > $o ).

tff(pred_def_1752,type,
    sP4243: ( vEBT_VEBT * nat * list(vEBT_VEBT) * nat * nat * nat ) > $o ).

tff(pred_def_1753,type,
    sP4244: ( vEBT_VEBT * nat * list(vEBT_VEBT) * nat * nat * nat * nat ) > $o ).

tff(pred_def_1754,type,
    sP4245: ( vEBT_VEBT * nat * list(vEBT_VEBT) * nat * nat * nat ) > $o ).

tff(pred_def_1755,type,
    sP4246: ( vEBT_VEBT * nat * list(vEBT_VEBT) * nat * nat * nat * nat ) > $o ).

tff(pred_def_1756,type,
    sP4247: ( vEBT_VEBT * nat * list(vEBT_VEBT) * nat * nat * nat ) > $o ).

tff(pred_def_1757,type,
    sP4248: ( vEBT_VEBT * nat * list(vEBT_VEBT) * nat * nat * nat ) > $o ).

tff(pred_def_1758,type,
    sP4249: ( vEBT_VEBT * nat * list(vEBT_VEBT) * nat * nat * nat * nat ) > $o ).

tff(pred_def_1759,type,
    sP4250: ( vEBT_VEBT * nat * list(vEBT_VEBT) * nat * nat * nat ) > $o ).

tff(pred_def_1760,type,
    sP4251: ( vEBT_VEBT * nat * list(vEBT_VEBT) * nat * nat * nat ) > $o ).

tff(pred_def_1761,type,
    sP4252: ( vEBT_VEBT * nat * list(vEBT_VEBT) * nat * nat * nat ) > $o ).

tff(pred_def_1762,type,
    sP4253: ( vEBT_VEBT * nat * list(vEBT_VEBT) * nat * nat * nat ) > $o ).

tff(pred_def_1763,type,
    sP4254: ( vEBT_VEBT * nat * list(vEBT_VEBT) * nat * nat * nat ) > $o ).

tff(pred_def_1764,type,
    sP4255: ( vEBT_VEBT * nat * list(vEBT_VEBT) * nat * nat * nat ) > $o ).

tff(pred_def_1765,type,
    sP4256: ( vEBT_VEBT * nat * list(vEBT_VEBT) * nat * nat * nat ) > $o ).

tff(pred_def_1766,type,
    sP4257: ( vEBT_VEBT * nat * list(vEBT_VEBT) * nat * nat * nat ) > $o ).

tff(pred_def_1767,type,
    sP4258: ( vEBT_VEBT * nat * list(vEBT_VEBT) * nat * nat * nat ) > $o ).

tff(pred_def_1768,type,
    sP4259: ( vEBT_VEBT * nat * list(vEBT_VEBT) * nat * nat * nat ) > $o ).

tff(pred_def_1769,type,
    sP4260: ( vEBT_VEBT * nat * list(vEBT_VEBT) * nat * nat * nat ) > $o ).

tff(pred_def_1770,type,
    sP4261: ( vEBT_VEBT * nat * list(vEBT_VEBT) * nat * nat * nat ) > $o ).

tff(pred_def_1771,type,
    sP4262: ( vEBT_VEBT * nat * list(vEBT_VEBT) * nat * nat * nat ) > $o ).

tff(pred_def_1772,type,
    sP4263: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_1773,type,
    sP4264: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_1774,type,
    sP4265: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_1775,type,
    sP4266: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_1776,type,
    sP4267: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_1777,type,
    sP4268: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_1778,type,
    sP4269: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_1779,type,
    sP4270: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_1780,type,
    sP4271: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_1781,type,
    sP4272: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_1782,type,
    sP4273: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_1783,type,
    sP4274: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_1784,type,
    sP4275: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_1785,type,
    sP4276: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_1786,type,
    sP4277: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_1787,type,
    sP4278: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_1788,type,
    sP4279: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_1789,type,
    sP4280: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_1790,type,
    sP4281: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_1791,type,
    sP4282: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_1792,type,
    sP4283: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_1793,type,
    sP4284: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_1794,type,
    sP4285: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_1795,type,
    sP4286: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_1796,type,
    sP4287: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_1797,type,
    sP4288: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_1798,type,
    sP4289: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_1799,type,
    sP4290: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_1800,type,
    sP4291: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_1801,type,
    sP4292: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_1802,type,
    sP4293: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_1803,type,
    sP4294: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_1804,type,
    sP4295: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_1805,type,
    sP4296: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_1806,type,
    sP4297: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_1807,type,
    sP4298: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_1808,type,
    sP4299: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_1809,type,
    sP4300: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_1810,type,
    sP4301: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_1811,type,
    sP4302: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_1812,type,
    sP4303: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_1813,type,
    sP4304: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_1814,type,
    sP4305: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_1815,type,
    sP4306: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_1816,type,
    sP4307: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_1817,type,
    sP4308: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_1818,type,
    sP4309: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_1819,type,
    sP4310: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_1820,type,
    sP4311: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_1821,type,
    sP4312: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_1822,type,
    sP4313: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_1823,type,
    sP4314: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_1824,type,
    sP4315: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_1825,type,
    sP4316: ( vEBT_VEBT * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_1826,type,
    sK4329: vEBT_VEBT > $o ).

tff(pred_def_1827,type,
    sK4330: vEBT_VEBT > $o ).

tff(pred_def_1828,type,
    sP4332: $o > $o ).

tff(pred_def_1829,type,
    sP4333: $o > $o ).

tff(pred_def_1830,type,
    sP4355: 
      !>[X0: $tType] : ( ( X0 * X0 ) > $o ) ).

tff(pred_def_1831,type,
    sP4356: 
      !>[X0: $tType] : ( ( X0 * list(X0) ) > $o ) ).

tff(pred_def_1832,type,
    sP4364: $o > $o ).

tff(pred_def_1833,type,
    sP4365: int > $o ).

tff(pred_def_1834,type,
    sP4366: $o > $o ).

tff(pred_def_1835,type,
    sP4367: int > $o ).

tff(pred_def_1836,type,
    sK4384: ( nat * vEBT_VEBT ) > $o ).

tff(pred_def_1837,type,
    sK4385: ( nat * vEBT_VEBT ) > $o ).

tff(pred_def_1838,type,
    sP4393: ( nat * list(vEBT_VEBT) * nat ) > $o ).

tff(pred_def_1839,type,
    sP4394: $o > $o ).

tff(pred_def_1840,type,
    sP4395: $o > $o ).

tff(pred_def_1841,type,
    sP4396: $o > $o ).

tff(pred_def_1842,type,
    sP4397: $o > $o ).

tff(pred_def_1843,type,
    sP4416: ( nat * vEBT_VEBT * nat ) > $o ).

tff(pred_def_1844,type,
    sP4417: ( vEBT_VEBT * nat ) > $o ).

tff(pred_def_1845,type,
    sP4418: ( nat * vEBT_VEBT * nat * nat * list(vEBT_VEBT) * nat * vEBT_VEBT * nat ) > $o ).

tff(pred_def_1846,type,
    sK4420: vEBT_VEBT > $o ).

tff(pred_def_1847,type,
    sK4421: vEBT_VEBT > $o ).

tff(pred_def_1848,type,
    sK4428: vEBT_VEBT > $o ).

tff(pred_def_1849,type,
    sK4429: vEBT_VEBT > $o ).

tff(pred_def_1850,type,
    sP4433: $o > $o ).

tff(pred_def_1851,type,
    sP4434: $o > $o ).

tff(pred_def_1852,type,
    sP4441: 
      !>[X0: $tType] : ( ( X0 * fun(X0,fun(X0,X0)) * option(X0) * option(X0) ) > $o ) ).

tff(pred_def_1853,type,
    sK4468: ( nat * vEBT_VEBT ) > $o ).

tff(pred_def_1854,type,
    sK4469: ( nat * vEBT_VEBT ) > $o ).

tff(pred_def_1855,type,
    sP4470: $o > $o ).

tff(pred_def_1856,type,
    sP4471: $o > $o ).

tff(pred_def_1857,type,
    sP4472: $o > $o ).

tff(pred_def_1858,type,
    sP4473: $o > $o ).

tff(pred_def_1859,type,
    sK4499: ( nat * $o * vEBT_VEBT ) > $o ).

tff(pred_def_1860,type,
    sK4500: ( nat * $o * vEBT_VEBT ) > $o ).

tff(pred_def_1861,type,
    sP4505: ( $o * $o * $o * nat ) > $o ).

tff(pred_def_1862,type,
    sP4506: ( $o * $o * vEBT_VEBT ) > $o ).

tff(pred_def_1863,type,
    sP4507: ( list(vEBT_VEBT) * nat * nat ) > $o ).

tff(pred_def_1864,type,
    sP4508: $o > $o ).

tff(pred_def_1865,type,
    sK4512: ( $o * vEBT_VEBT * nat ) > $o ).

tff(pred_def_1866,type,
    sK4513: ( $o * vEBT_VEBT * nat ) > $o ).

tff(pred_def_1867,type,
    sP4521: ( vEBT_VEBT * list(vEBT_VEBT) * nat * option(product_prod(nat,nat)) * nat * vEBT_VEBT * $o ) > $o ).

tff(pred_def_1868,type,
    sP4522: $o > $o ).

tff(pred_def_1869,type,
    sP4523: $o > $o ).

tff(pred_def_1870,type,
    sP4524: $o > $o ).

tff(pred_def_1871,type,
    sP4525: $o > $o ).

tff(pred_def_1872,type,
    sP4526: $o > $o ).

tff(pred_def_1873,type,
    sP4527: ( $o * $o * nat ) > $o ).

tff(pred_def_1874,type,
    sP4528: $o > $o ).

tff(pred_def_1875,type,
    sK4552: ( nat * $o * vEBT_VEBT ) > $o ).

tff(pred_def_1876,type,
    sK4553: ( nat * $o * vEBT_VEBT ) > $o ).

tff(pred_def_1877,type,
    sP4560: ( $o * $o * vEBT_VEBT * $o * nat ) > $o ).

tff(pred_def_1878,type,
    sP4561: ( list(vEBT_VEBT) * vEBT_VEBT * vEBT_VEBT * $o * nat ) > $o ).

tff(pred_def_1879,type,
    sP4562: ( vEBT_VEBT * list(vEBT_VEBT) * nat * nat * vEBT_VEBT * $o * nat ) > $o ).

tff(pred_def_1880,type,
    sP4563: $o > $o ).

tff(pred_def_1881,type,
    sP4564: ( nat * list(vEBT_VEBT) * nat ) > $o ).

tff(pred_def_1882,type,
    sP4565: $o > $o ).

tff(pred_def_1883,type,
    sP4566: ( nat * nat * list(vEBT_VEBT) * nat * nat ) > $o ).

tff(pred_def_1884,type,
    sP4570: ( $o * $o ) > $o ).

tff(pred_def_1885,type,
    sP4571: ( $o * $o ) > $o ).

tff(pred_def_1886,type,
    sP4572: ( $o * $o ) > $o ).

tff(pred_def_1887,type,
    sP4573: ( $o * $o ) > $o ).

tff(pred_def_1888,type,
    sP4574: ( $o * $o ) > $o ).

tff(pred_def_1889,type,
    sK4579: product_prod(vEBT_VEBT,nat) > $o ).

tff(pred_def_1890,type,
    sK4581: product_prod(vEBT_VEBT,nat) > $o ).

tff(pred_def_1891,type,
    sK4609: vEBT_VEBT > $o ).

tff(pred_def_1892,type,
    sK4610: vEBT_VEBT > $o ).

tff(pred_def_1893,type,
    sK4659: vEBT_VEBT > $o ).

tff(pred_def_1894,type,
    sK4660: vEBT_VEBT > $o ).

tff(pred_def_1895,type,
    sP4662: ( vEBT_VEBT * list(vEBT_VEBT) * nat ) > $o ).

tff(pred_def_1896,type,
    sP4663: ( vEBT_VEBT * list(vEBT_VEBT) ) > $o ).

tff(pred_def_1897,type,
    sP4677: ( num * num * option(num) ) > $o ).

tff(pred_def_1898,type,
    sP4678: ( num * num * option(num) ) > $o ).

tff(pred_def_1899,type,
    sP4679: ( num * num * option(num) ) > $o ).

tff(pred_def_1900,type,
    sP4680: ( num * num * option(num) ) > $o ).

tff(pred_def_1901,type,
    sP4681: ( num * num * option(num) ) > $o ).

tff(pred_def_1902,type,
    sP4682: ( num * num * option(num) ) > $o ).

tff(pred_def_1903,type,
    sP4683: ( num * num * option(num) ) > $o ).

tff(pred_def_1904,type,
    sP4729: ( int * int * int * int * int * product_prod(int,int) * int ) > $o ).

tff(pred_def_1905,type,
    sP4775: ( $o * $o ) > $o ).

tff(pred_def_1906,type,
    sP4776: ( $o * $o ) > $o ).

tff(pred_def_1907,type,
    sP4777: ( $o * $o ) > $o ).

tff(pred_def_1908,type,
    sP4778: ( $o * $o ) > $o ).

tff(pred_def_1909,type,
    sP4779: ( $o * $o ) > $o ).

tff(pred_def_1910,type,
    sP4780: ( $o * $o ) > $o ).

tff(pred_def_1911,type,
    sP4781: ( $o * $o ) > $o ).

tff(pred_def_1912,type,
    sP4782: ( $o * $o ) > $o ).

tff(pred_def_1913,type,
    sP4783: ( $o * $o ) > $o ).

tff(pred_def_1914,type,
    sP4784: ( $o * $o ) > $o ).

tff(pred_def_1915,type,
    sP4785: ( $o * $o ) > $o ).

tff(pred_def_1916,type,
    sP4786: ( $o * $o ) > $o ).

tff(pred_def_1917,type,
    sP4787: ( $o * $o ) > $o ).

tff(pred_def_1918,type,
    sP4793: ( int * int * set(int) ) > $o ).

tff(pred_def_1919,type,
    sP4794: ( int * int * fun(int,$o) * fun(int,$o) ) > $o ).

tff(pred_def_1920,type,
    sP4795: ( int * fun(int,$o) ) > $o ).

tff(pred_def_1921,type,
    sP4796: ( int * fun(int,$o) ) > $o ).

tff(pred_def_1922,type,
    sP4832: ( int * int * int * fun(int,$o) ) > $o ).

tff(pred_def_1923,type,
    sP4833: ( int * fun(int,$o) * fun(int,$o) ) > $o ).

tff(pred_def_1924,type,
    sP4836: ( int * fun(int,$o) ) > $o ).

tff(pred_def_1925,type,
    sP4838: ( int * int * fun(int,$o) ) > $o ).

tff(pred_def_1926,type,
    sK4858: ( nat * vEBT_VEBT * nat ) > $o ).

tff(pred_def_1927,type,
    sK4859: ( nat * vEBT_VEBT * nat ) > $o ).

tff(pred_def_1928,type,
    sK4860: ( nat * vEBT_VEBT * nat ) > $o ).

tff(pred_def_1929,type,
    sK4861: ( nat * vEBT_VEBT * nat ) > $o ).

tff(pred_def_1930,type,
    sK4867: ( nat * vEBT_VEBT * nat ) > $o ).

tff(pred_def_1931,type,
    sK4868: ( nat * vEBT_VEBT * nat ) > $o ).

tff(pred_def_1932,type,
    sP4872: ( $o * $o * nat * vEBT_VEBT * nat ) > $o ).

tff(pred_def_1933,type,
    sP4873: ( $o * $o * nat * vEBT_VEBT * nat ) > $o ).

tff(pred_def_1934,type,
    sP4874: ( nat * nat * list(vEBT_VEBT) * nat * vEBT_VEBT * nat * vEBT_VEBT * nat ) > $o ).

tff(pred_def_1935,type,
    sP4875: ( $o * $o * nat * vEBT_VEBT * nat ) > $o ).

tff(pred_def_1936,type,
    sP4876: ( vEBT_VEBT * list(vEBT_VEBT) * nat * nat * vEBT_VEBT * nat ) > $o ).

tff(pred_def_1937,type,
    sP4878: ( nat * list(vEBT_VEBT) * nat * vEBT_VEBT * nat * nat ) > $o ).

tff(pred_def_1938,type,
    sP4879: ( nat * list(vEBT_VEBT) * nat * vEBT_VEBT * nat * nat ) > $o ).

tff(pred_def_1939,type,
    sP4880: ( nat * list(vEBT_VEBT) * nat * vEBT_VEBT * nat * nat ) > $o ).

tff(pred_def_1940,type,
    sP4881: ( nat * list(vEBT_VEBT) * nat * vEBT_VEBT * nat * nat ) > $o ).

tff(pred_def_1941,type,
    sP4882: ( nat * list(vEBT_VEBT) * nat * vEBT_VEBT * nat * nat ) > $o ).

tff(pred_def_1942,type,
    sP4883: ( nat * list(vEBT_VEBT) * nat * vEBT_VEBT * nat * nat ) > $o ).

tff(pred_def_1943,type,
    sP4884: ( nat * list(vEBT_VEBT) * nat * vEBT_VEBT * nat * nat ) > $o ).

tff(pred_def_1944,type,
    sP4885: ( nat * list(vEBT_VEBT) * nat * vEBT_VEBT * nat * nat ) > $o ).

tff(pred_def_1945,type,
    sP4886: ( nat * list(vEBT_VEBT) * nat * vEBT_VEBT * nat ) > $o ).

tff(pred_def_1946,type,
    sP4887: ( nat * list(vEBT_VEBT) * nat * vEBT_VEBT * nat * nat ) > $o ).

tff(pred_def_1947,type,
    sP4888: ( nat * list(vEBT_VEBT) * nat * vEBT_VEBT * nat * nat ) > $o ).

tff(pred_def_1948,type,
    sP4889: ( nat * list(vEBT_VEBT) * nat * vEBT_VEBT * nat * nat ) > $o ).

tff(pred_def_1949,type,
    sP4890: ( nat * list(vEBT_VEBT) * nat * vEBT_VEBT * nat * nat ) > $o ).

tff(pred_def_1950,type,
    sP4891: ( nat * list(vEBT_VEBT) * nat * vEBT_VEBT * nat * nat ) > $o ).

tff(pred_def_1951,type,
    sP4892: ( nat * list(vEBT_VEBT) * nat * vEBT_VEBT * nat * nat ) > $o ).

tff(pred_def_1952,type,
    sP4893: ( nat * list(vEBT_VEBT) * nat * vEBT_VEBT * nat * nat ) > $o ).

tff(pred_def_1953,type,
    sP4894: ( nat * vEBT_VEBT * nat * $o ) > $o ).

tff(pred_def_1954,type,
    sP4895: ( nat * vEBT_VEBT * nat * $o ) > $o ).

tff(pred_def_1955,type,
    sP4896: ( nat * vEBT_VEBT * nat * $o ) > $o ).

tff(pred_def_1956,type,
    sP4897: ( nat * vEBT_VEBT * nat * $o ) > $o ).

tff(pred_def_1957,type,
    sP4898: ( nat * vEBT_VEBT * nat * $o ) > $o ).

tff(pred_def_1958,type,
    sP4899: ( nat * vEBT_VEBT * nat * $o ) > $o ).

tff(pred_def_1959,type,
    sP4900: ( nat * vEBT_VEBT * nat * $o ) > $o ).

tff(pred_def_1960,type,
    sP4901: ( nat * vEBT_VEBT * nat * $o ) > $o ).

tff(pred_def_1961,type,
    sP4902: ( nat * vEBT_VEBT * nat * $o ) > $o ).

tff(pred_def_1962,type,
    sP4903: ( nat * vEBT_VEBT * nat * $o ) > $o ).

tff(pred_def_1963,type,
    sP4904: ( nat * vEBT_VEBT * nat * $o ) > $o ).

tff(pred_def_1964,type,
    sP4905: ( nat * vEBT_VEBT * nat * $o ) > $o ).

tff(pred_def_1965,type,
    sP4906: ( nat * vEBT_VEBT * nat * $o ) > $o ).

tff(pred_def_1966,type,
    sP4907: ( nat * vEBT_VEBT * nat * $o ) > $o ).

tff(pred_def_1967,type,
    sP4908: ( nat * vEBT_VEBT * nat * $o ) > $o ).

tff(pred_def_1968,type,
    sP4909: ( nat * vEBT_VEBT * nat * $o ) > $o ).

tff(pred_def_1969,type,
    sP4910: ( nat * vEBT_VEBT * nat * $o ) > $o ).

tff(pred_def_1970,type,
    sP4911: ( nat * vEBT_VEBT * nat * $o ) > $o ).

tff(pred_def_1971,type,
    sP4912: ( nat * vEBT_VEBT * nat * $o ) > $o ).

tff(pred_def_1972,type,
    sP4913: ( nat * vEBT_VEBT * nat * $o ) > $o ).

tff(pred_def_1973,type,
    sP4914: ( nat * vEBT_VEBT * nat * $o ) > $o ).

tff(pred_def_1974,type,
    sP4915: ( nat * vEBT_VEBT * nat * $o ) > $o ).

tff(pred_def_1975,type,
    sP4916: ( nat * vEBT_VEBT * nat * $o ) > $o ).

tff(pred_def_1976,type,
    sP4917: ( nat * vEBT_VEBT * nat * $o ) > $o ).

tff(pred_def_1977,type,
    sP4918: ( nat * vEBT_VEBT * nat * $o ) > $o ).

tff(pred_def_1978,type,
    sP4919: ( nat * vEBT_VEBT * nat * $o ) > $o ).

tff(pred_def_1979,type,
    sP4920: ( nat * vEBT_VEBT * nat * $o ) > $o ).

tff(pred_def_1980,type,
    sP4925: 
      !>[X0: $tType] : ( ( X0 * $o * option(X0) * fun(X0,fun(X0,$o)) * option(X0) ) > $o ) ).

tff(pred_def_1981,type,
    sP4926: $o > $o ).

tff(pred_def_1982,type,
    sK4937: ( vEBT_VEBT * option(nat) ) > $o ).

tff(pred_def_1983,type,
    sK4938: ( vEBT_VEBT * option(nat) ) > $o ).

tff(pred_def_1984,type,
    sP4939: ( $o * $o * option(nat) * vEBT_VEBT ) > $o ).

tff(pred_def_1985,type,
    sP4984: ( real * real * fun(real,real) * real ) > $o ).

tff(pred_def_1986,type,
    sP4985: ( real * real * fun(real,real) * real ) > $o ).

tff(pred_def_1987,type,
    sP4986: ( real * real * real * real * fun(real,real) * fun(real,real) * real ) > $o ).

tff(pred_def_1988,type,
    sP4994: ( $o * int ) > $o ).

tff(pred_def_1989,type,
    sP5003: ( nat * list(vEBT_VEBT) * vEBT_VEBT ) > $o ).

tff(pred_def_1990,type,
    sP5004: ( nat * nat ) > $o ).

tff(pred_def_1991,type,
    sP5005: ( nat * list(vEBT_VEBT) * nat * nat * nat * nat ) > $o ).

tff(f1280,axiom,
    ! [X0: fun(nat,$o)] :
      ( ~ aa(nat,$o,X0,zero_zero(nat))
     => ( ? [X1: nat] : aa(nat,$o,X0,X1)
       => ? [X2: nat] :
            ( aa(nat,$o,X0,aa(nat,nat,suc,X2))
            & ~ aa(nat,$o,X0,X2) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1279_exists__least__lemma) ).

tff(f2627,axiom,
    ! [X0: vEBT_VEBT] :
      ( ~ vEBT_VEBT_minNull(X0)
     => ? [X1: nat] : vEBT_V8194947554948674370ptions(X0,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_2626_not__min__Null__member) ).

tff(f2628,axiom,
    ! [X1: nat,X0: vEBT_VEBT] :
      ( vEBT_VEBT_minNull(X0)
     => ~ aa(nat,$o,vEBT_vebt_member(X0),X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_2627_min__Null__member) ).

tff(f2969,axiom,
    ! [X0: nat,X1: nat] : ~ vEBT_VEBT_membermima(vEBT_vebt_buildup(X0),X1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_2968_buildup__nothing__in__min__max) ).

tff(f2970,axiom,
    ! [X1: nat,X0: nat] : ~ vEBT_V5719532721284313246member(vEBT_vebt_buildup(X0),X1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_2969_buildup__nothing__in__leaf) ).

tff(f2971,axiom,
    ! [X1: nat,X0: vEBT_VEBT] :
      ( ( vEBT_VEBT_membermima(X0,X1)
        | vEBT_V5719532721284313246member(X0,X1) )
    <=> vEBT_V8194947554948674370ptions(X0,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_2970_both__member__options__def) ).

tff(f11289,plain,
    ! [X1: vEBT_VEBT,X0: nat] :
      ( vEBT_VEBT_minNull(X1)
     => ~ aa(nat,$o,vEBT_vebt_member(X1),X0) ),
    inference(rectify,[],[f2628]) ).

tff(f14986,plain,
    ! [X0: nat,X1: nat] : ~ vEBT_V5719532721284313246member(vEBT_vebt_buildup(X1),X0),
    inference(rectify,[],[f2970]) ).

tff(f15217,plain,
    ! [X0: fun(nat,$o)] :
      ( ~ aa(nat,$o,X0,zero_zero(nat))
     => ( ? [X1: nat] : aa(nat,$o,X0,X1)
       => ? [X2: nat] :
            ( aa(nat,$o,X0,aa(nat,nat,suc,X2))
            & ~ aa(nat,$o,X0,X2) ) ) ),
    inference(rectify,[],[f1280]) ).

tff(f16919,plain,
    ! [X0: fun(nat,$o)] :
      ( ? [X2: nat] :
          ( aa(nat,$o,X0,aa(nat,nat,suc,X2))
          & ~ aa(nat,$o,X0,X2) )
      | ! [X1: nat] : ~ aa(nat,$o,X0,X1)
      | aa(nat,$o,X0,zero_zero(nat)) ),
    inference(ennf_transformation,[],[f15217]) ).

tff(f16920,plain,
    ! [X0: fun(nat,$o)] :
      ( aa(nat,$o,X0,zero_zero(nat))
      | ! [X1: nat] : ~ aa(nat,$o,X0,X1)
      | ? [X2: nat] :
          ( aa(nat,$o,X0,aa(nat,nat,suc,X2))
          & ~ aa(nat,$o,X0,X2) ) ),
    inference(flattening,[],[f16919]) ).

tff(f25058,plain,
    ! [X0: nat,X1: vEBT_VEBT] :
      ( ~ vEBT_VEBT_minNull(X1)
      | ~ aa(nat,$o,vEBT_vebt_member(X1),X0) ),
    inference(ennf_transformation,[],[f11289]) ).

tff(f25187,plain,
    ! [X0: vEBT_VEBT] :
      ( vEBT_VEBT_minNull(X0)
      | ? [X1: nat] : vEBT_V8194947554948674370ptions(X0,X1) ),
    inference(ennf_transformation,[],[f2627]) ).

tff(f26057,plain,
    ! [X0: vEBT_VEBT,X1: nat] :
      ( ~ vEBT_V8194947554948674370ptions(X0,X1)
      | vEBT_V5719532721284313246member(X0,X1)
      | vEBT_VEBT_membermima(X0,X1) ),
    inference(cnf_transformation,[],[f2971]) ).

tff(f29005,plain,
    ! [X0: fun(nat,$o),X1: nat] :
      ( ( aa(nat,$o,X0,X1) = $true )
      | ( aa(nat,$o,X0,aa(nat,nat,suc,sK843(X0))) = $true )
      | ( aa(nat,$o,X0,zero_zero(nat)) = $true ) ),
    inference(cnf_transformation,[],[f16920]) ).

tff(f36011,plain,
    ! [X0: nat,X1: nat] : ~ vEBT_VEBT_membermima(vEBT_vebt_buildup(X0),X1),
    inference(cnf_transformation,[],[f2969]) ).

tff(f41798,plain,
    ! [X0: vEBT_VEBT] :
      ( vEBT_VEBT_minNull(X0)
      | vEBT_V8194947554948674370ptions(X0,sK2890(X0)) ),
    inference(cnf_transformation,[],[f25187]) ).

tff(f41830,plain,
    ! [X0: nat,X1: vEBT_VEBT] :
      ( ( $true != aa(nat,$o,vEBT_vebt_member(X1),X0) )
      | ~ vEBT_VEBT_minNull(X1) ),
    inference(cnf_transformation,[],[f25058]) ).

tff(f52068,plain,
    ! [X0: nat,X1: nat] : ~ vEBT_V5719532721284313246member(vEBT_vebt_buildup(X1),X0),
    inference(cnf_transformation,[],[f14986]) ).

tff(f68653,plain,
    ! [X0: vEBT_VEBT,X1: nat] :
      ( ~ vEBT_V8194947554948674370ptions(X0,X1)
      | ~ vEBT_V5719532721284313246member(X0,X1)
      | vEBT_VEBT_membermima(X0,X1) ),
    inference(consistent_polarity_flipping,[],[f26057]) ).

tff(f68757,plain,
    ! [X0: nat,X1: vEBT_VEBT] :
      ( vEBT_VEBT_minNull(X1)
      | ( $true != aa(nat,$o,vEBT_vebt_member(X1),X0) ) ),
    inference(consistent_polarity_flipping,[],[f41830]) ).

tff(f69698,plain,
    ! [X0: nat,X1: nat] : vEBT_V5719532721284313246member(vEBT_vebt_buildup(X1),X0),
    inference(consistent_polarity_flipping,[],[f52068]) ).

tff(f77182,plain,
    ! [X0: vEBT_VEBT] :
      ( vEBT_V8194947554948674370ptions(X0,sK2890(X0))
      | ~ vEBT_VEBT_minNull(X0) ),
    inference(consistent_polarity_flipping,[],[f41798]) ).

tff(f112560,plain,
    ! [X0: vEBT_VEBT] :
      ( vEBT_VEBT_membermima(X0,sK2890(X0))
      | ~ vEBT_VEBT_minNull(X0)
      | ~ vEBT_V5719532721284313246member(X0,sK2890(X0)) ),
    inference(resolution,[],[f68653,f77182]) ).

tff(f143057,plain,
    ! [X0: nat] :
      ( ~ vEBT_V5719532721284313246member(vEBT_vebt_buildup(X0),sK2890(vEBT_vebt_buildup(X0)))
      | ~ vEBT_VEBT_minNull(vEBT_vebt_buildup(X0)) ),
    inference(resolution,[],[f112560,f36011]) ).

tff(f143061,plain,
    ! [X0: nat] : ~ vEBT_VEBT_minNull(vEBT_vebt_buildup(X0)),
    inference(forward_subsumption_resolution,[],[f143057,f69698]) ).

tff(f143062,plain,
    ! [X0: nat,X1: nat] : ( $true != aa(nat,$o,vEBT_vebt_member(vEBT_vebt_buildup(X0)),X1) ),
    inference(resolution,[],[f143061,f68757]) ).

tff(f181077,plain,
    ! [X0: nat] :
      ( ( $true = aa(nat,$o,vEBT_vebt_member(vEBT_vebt_buildup(X0)),zero_zero(nat)) )
      | ( $true != $true )
      | ( aa(nat,$o,vEBT_vebt_member(vEBT_vebt_buildup(X0)),aa(nat,nat,suc,sK843(vEBT_vebt_member(vEBT_vebt_buildup(X0))))) = $true ) ),
    inference(superposition,[],[f143062,f29005]) ).

tff(f181242,plain,
    ! [X0: nat] :
      ( ( aa(nat,$o,vEBT_vebt_member(vEBT_vebt_buildup(X0)),aa(nat,nat,suc,sK843(vEBT_vebt_member(vEBT_vebt_buildup(X0))))) = $true )
      | ( $true = aa(nat,$o,vEBT_vebt_member(vEBT_vebt_buildup(X0)),zero_zero(nat)) ) ),
    inference(trivial_inequality_removal,[],[f181077]) ).

tff(f181440,plain,
    ! [X0: nat] : ( aa(nat,$o,vEBT_vebt_member(vEBT_vebt_buildup(X0)),aa(nat,nat,suc,sK843(vEBT_vebt_member(vEBT_vebt_buildup(X0))))) = $true ),
    inference(forward_subsumption_resolution,[],[f181242,f143062]) ).

tff(f181592,plain,
    $false,
    inference(forward_subsumption_resolution,[],[f181440,f143062]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : ITP270_4 : TPTP v9.3.1. Bugfixed v9.3.0.
% 0.00/0.06  % Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.11/0.39  % Computer : n002.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 12:46:51 UTC 2026
% 0.11/0.40  % CPUTime  : 
% 0.11/0.40  Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.11/0.44  Running first-order model finding
% 0.11/0.44  Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 14.80/3.36  % (3489196)Will run a generic schedule for satisfiability detection.
% 14.80/3.36  % (3489251)dis+10_1_sil=32000:sp=arity:random_seed=2366823185:i=103:fgj=on_2991 on theBenchmark for (2991ds/103Mi)
% 14.80/3.36  % (3489249)% WARNING: option uhcvi not known.
% 14.80/3.36  % (3489249)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=900204634:i=135531:add=off:rawr=on_2991 on theBenchmark for (2991ds/135531Mi)
% 14.80/3.36  % (3489248)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=287545760_2991 on theBenchmark for (2991ds/0Mi)
% 14.80/3.36  % (3489250)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3958674830:i=88024:add=on:rawr=on_2991 on theBenchmark for (2991ds/88024Mi)
% 14.80/3.36  % (3489252)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2557019231:i=116_2991 on theBenchmark for (2991ds/116Mi)
% 14.80/3.36  % (3489253)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=271060936:i=131_2991 on theBenchmark for (2991ds/131Mi)
% 14.80/3.36  % (3489254)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=380511913:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2991 on theBenchmark for (2991ds/159Mi)
% 14.80/3.36  % (3489251)Instruction limit reached! 
% 14.80/3.36  % (3489251)------------------------------
% 14.80/3.36  % (3489251)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.80/3.36  % (3489251)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.80/3.36  % (3489251)CaDiCaL version: 2.1.3
% 14.80/3.36  % (3489251)Termination reason: Instruction limit
% 14.80/3.36  % (3489251)Termination phase: Initialization
% 14.80/3.36  % (3489251)Time elapsed: 0.026 s
% 14.80/3.36  % (3489251)Peak memory usage: 27 MB
% 14.80/3.36  % (3489251)Instructions burned: 106 (million)
% 14.80/3.36  % (3489262)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=1929507971:i=714:nm=2_2990 on theBenchmark for (2990ds/714Mi)
% 14.80/3.36  % (3489253)Instruction limit reached! 
% 14.80/3.36  % (3489253)------------------------------
% 14.80/3.36  % (3489253)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.80/3.36  % (3489253)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.80/3.36  % (3489253)CaDiCaL version: 2.1.3
% 14.80/3.36  % (3489253)Termination reason: Instruction limit
% 14.80/3.36  % (3489253)Termination phase: Initialization
% 14.80/3.36  % (3489253)Time elapsed: 0.058 s
% 14.80/3.36  % (3489253)Peak memory usage: 28 MB
% 14.80/3.36  % (3489253)Instructions burned: 131 (million)
% 14.80/3.36  % (3489254)Instruction limit reached! 
% 14.80/3.36  % (3489254)------------------------------
% 14.80/3.36  % (3489254)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.80/3.36  % (3489254)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.80/3.36  % (3489254)CaDiCaL version: 2.1.3
% 14.80/3.36  % (3489254)Termination reason: Instruction limit
% 14.80/3.36  % (3489254)Termination phase: Initialization
% 14.80/3.36  % (3489254)Time elapsed: 0.070 s
% 14.80/3.36  % (3489254)Peak memory usage: 28 MB
% 14.80/3.36  % (3489254)Instructions burned: 159 (million)
% 14.80/3.36  % (3489264)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=1587726694:i=131:bd=preordered:fsd=on_2990 on theBenchmark for (2990ds/131Mi)
% 14.80/3.36  % (3489252)Instruction limit reached! 
% 14.80/3.36  % (3489252)------------------------------
% 14.80/3.36  % (3489252)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.80/3.36  % (3489252)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.80/3.36  % (3489252)CaDiCaL version: 2.1.3
% 14.80/3.36  % (3489252)Termination reason: Instruction limit
% 14.80/3.36  % (3489252)Termination phase: Preprocessing 2
% 14.80/3.36  % (3489252)Time elapsed: 0.087 s
% 14.80/3.36  % (3489252)Peak memory usage: 31 MB
% 14.80/3.36  % (3489252)Instructions burned: 117 (million)
% 14.80/3.36  % (3489265)dis+11_32_anc=none:slsqr=2,1:sil=64000:sas=cadical:lma=off:lsd=50:s2agt=8:slsqc=1:kmz=on:newcnf=on:slsq=on:random_seed=2293952692:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2990 on theBenchmark for (2990ds/684Mi)
% 14.80/3.36  % (3489267)ott-21_1_sil=16000:fs=off:random_seed=893295373:i=180:av=off:fsr=off_2989 on theBenchmark for (2989ds/180Mi)
% 14.80/3.36  % (3489264)Instruction limit reached! 
% 14.80/3.36  % (3489264)------------------------------
% 14.80/3.36  % (3489264)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.80/3.36  % (3489264)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 29.00/5.34  % (3489264)CaDiCaL version: 2.1.3
% 29.00/5.34  % (3489264)Termination reason: Instruction limit
% 29.00/5.34  % (3489264)Termination phase: Initialization
% 29.00/5.34  % (3489264)Time elapsed: 0.059 s
% 29.00/5.34  % (3489264)Peak memory usage: 28 MB
% 29.00/5.34  % (3489264)Instructions burned: 131 (million)
% 29.00/5.34  % (3489270)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=964310999:i=477:bd=all_2989 on theBenchmark for (2989ds/477Mi)
% 29.00/5.34  % (3489267)Instruction limit reached! 
% 29.00/5.34  % (3489267)------------------------------
% 29.00/5.34  % (3489267)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 29.00/5.34  % (3489267)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 29.00/5.34  % (3489267)CaDiCaL version: 2.1.3
% 29.00/5.34  % (3489267)Termination reason: Instruction limit
% 29.00/5.34  % (3489267)Termination phase: Initialization
% 29.00/5.34  % (3489267)Time elapsed: 0.080 s
% 29.00/5.34  % (3489267)Peak memory usage: 29 MB
% 29.00/5.34  % (3489267)Instructions burned: 180 (million)
% 29.00/5.34  % (3489262)Instruction limit reached! 
% 29.00/5.34  % (3489262)------------------------------
% 29.00/5.34  % (3489262)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 29.00/5.34  % (3489262)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 29.00/5.34  % (3489262)CaDiCaL version: 2.1.3
% 29.00/5.34  % (3489262)Termination reason: Instruction limit
% 29.00/5.34  % (3489262)Termination phase: Property scanning
% 29.00/5.34  % (3489262)Time elapsed: 0.175 s
% 29.00/5.34  % (3489262)Peak memory usage: 36 MB
% 29.00/5.34  % (3489262)Instructions burned: 715 (million)
% 29.00/5.34  % (3489272)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=2817858447:fmbsr=1.3:i=865:ins=25_2988 on theBenchmark for (2988ds/865Mi)
% 29.00/5.34  % (3489273)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=267733827:i=1179_2988 on theBenchmark for (2988ds/1179Mi)
% 29.00/5.34  % (3489270)Instruction limit reached! 
% 29.00/5.34  % (3489270)------------------------------
% 29.00/5.34  % (3489270)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 29.00/5.34  % (3489270)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 29.00/5.34  % (3489270)CaDiCaL version: 2.1.3
% 29.00/5.34  % (3489270)Termination reason: Instruction limit
% 29.00/5.34  % (3489270)Termination phase: Initialization
% 29.00/5.34  % (3489270)Time elapsed: 0.220 s
% 29.00/5.34  % (3489270)Peak memory usage: 35 MB
% 29.00/5.34  % (3489270)Instructions burned: 478 (million)
% 29.00/5.34  % (3489276)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=370040199:i=889:ins=1_2986 on theBenchmark for (2986ds/889Mi)
% 29.00/5.34  % (3489265)Instruction limit reached! 
% 29.00/5.34  % (3489265)------------------------------
% 29.00/5.34  % (3489265)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 29.00/5.34  % (3489265)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 29.00/5.34  % (3489265)CaDiCaL version: 2.1.3
% 29.00/5.34  % (3489265)Termination reason: Instruction limit
% 29.00/5.34  % (3489265)Termination phase: NewCNF
% 29.00/5.34  % (3489265)Time elapsed: 0.355 s
% 29.00/5.34  % (3489265)Peak memory usage: 41 MB
% 29.00/5.34  % (3489265)Instructions burned: 686 (million)
% 29.00/5.34  % (3489278)ott+1_16_sil=32000:plsq=on:plsqc=2:sas=cadical:avsql=on:sp=reverse_frequency:plsqr=128,1:bsr=unit_only:rp=on:newcnf=on:random_seed=4252752096:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2986 on theBenchmark for (2986ds/692Mi)
% 29.00/5.34  % (3489273)Instruction limit reached! 
% 29.00/5.34  % (3489273)------------------------------
% 29.00/5.34  % (3489273)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 29.00/5.34  % (3489273)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 29.00/5.34  % (3489273)CaDiCaL version: 2.1.3
% 29.00/5.34  % (3489273)Termination reason: Instruction limit
% 29.00/5.34  % (3489273)Termination phase: Preprocessing 3
% 29.00/5.34  % (3489273)Time elapsed: 0.315 s
% 29.00/5.34  % (3489273)Peak memory usage: 46 MB
% 29.00/5.34  % (3489273)Instructions burned: 1181 (million)
% 29.00/5.34  % (3489280)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=2556340631:i=879:kws=inv_precedence:fsr=off_2985 on theBenchmark for (2985ds/879Mi)
% 29.00/5.34  % (3489272)Instruction limit reached! 
% 29.00/5.34  % (3489272)------------------------------
% 29.00/5.34  % (3489272)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 29.00/5.34  % (3489272)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 60.31/9.77  % (3489272)CaDiCaL version: 2.1.3
% 60.31/9.77  % (3489272)Termination reason: Instruction limit
% 60.31/9.77  % (3489272)Termination phase: Preprocessing 1
% 60.31/9.77  % (3489272)Time elapsed: 0.389 s
% 60.31/9.77  % (3489272)Peak memory usage: 36 MB
% 60.31/9.77  % (3489272)Instructions burned: 865 (million)
% 60.31/9.77  % (3489282)fmb+10_1_sil=64000:random_seed=2328167741:i=22061:nm=2:gsp=on_2984 on theBenchmark for (2984ds/22061Mi)
% 60.31/9.77  % (3489280)Instruction limit reached! 
% 60.31/9.77  % (3489280)------------------------------
% 60.31/9.77  % (3489280)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 60.31/9.77  % (3489280)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 60.31/9.77  % (3489280)CaDiCaL version: 2.1.3
% 60.31/9.77  % (3489280)Termination reason: Instruction limit
% 60.31/9.77  % (3489280)Termination phase: NewCNF
% 60.31/9.77  % (3489280)Time elapsed: 0.225 s
% 60.31/9.77  % (3489280)Peak memory usage: 47 MB
% 60.31/9.77  % (3489280)Instructions burned: 880 (million)
% 60.31/9.77  % (3489286)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=775404671:i=9515:nm=5_2983 on theBenchmark for (2983ds/9515Mi)
% 60.31/9.77  % (3489276)Instruction limit reached! 
% 60.31/9.77  % (3489276)------------------------------
% 60.31/9.77  % (3489276)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 60.31/9.77  % (3489276)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 60.31/9.77  % (3489276)CaDiCaL version: 2.1.3
% 60.31/9.77  % (3489276)Termination reason: Instruction limit
% 60.31/9.77  % (3489276)Termination phase: Preprocessing 1
% 60.31/9.77  % (3489276)Time elapsed: 0.402 s
% 60.31/9.77  % (3489276)Peak memory usage: 37 MB
% 60.31/9.77  % (3489276)Instructions burned: 890 (million)
% 60.31/9.77  % (3489288)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=1084616742:fmbsr=1.7:i=920_2982 on theBenchmark for (2982ds/920Mi)
% 60.31/9.77  % (3489278)Instruction limit reached! 
% 60.31/9.77  % (3489278)------------------------------
% 60.31/9.77  % (3489278)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 60.31/9.77  % (3489278)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 60.31/9.77  % (3489278)CaDiCaL version: 2.1.3
% 60.31/9.77  % (3489278)Termination reason: Instruction limit
% 60.31/9.77  % (3489278)Termination phase: NewCNF
% 60.31/9.77  % (3489278)Time elapsed: 0.382 s
% 60.31/9.77  % (3489278)Peak memory usage: 45 MB
% 60.31/9.77  % (3489278)Instructions burned: 693 (million)
% 60.31/9.77  % (3489290)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=1247615929:i=5131_2982 on theBenchmark for (2982ds/5131Mi)
% 60.31/9.77  % (3489288)Instruction limit reached! 
% 60.31/9.77  % (3489288)------------------------------
% 60.31/9.77  % (3489288)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 60.31/9.77  % (3489288)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 60.31/9.77  % (3489288)CaDiCaL version: 2.1.3
% 60.31/9.77  % (3489288)Termination reason: Instruction limit
% 60.31/9.77  % (3489288)Termination phase: Preprocessing 1
% 60.31/9.77  % (3489288)Time elapsed: 0.417 s
% 60.31/9.77  % (3489288)Peak memory usage: 38 MB
% 60.31/9.77  % (3489288)Instructions burned: 920 (million)
% 60.31/9.77  % (3489292)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=2868547334:i=1472:ins=7:fdi=8:gsp=on_2978 on theBenchmark for (2978ds/1472Mi)
% 60.31/9.77  % Exception at run slice level
% 60.31/9.77  User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 60.31/9.77  % (3489294)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=2960395879:i=6324_2976 on theBenchmark for (2976ds/6324Mi)
% 60.31/9.77  % Exception at run slice level
% 60.31/9.77  User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 60.31/9.77  % (3489296)fmb+10_1_fmbas=function:sil=32000:sas=cadical:fmbss=16:random_seed=1138698058:fmbsr=2.30978:i=2174_2976 on theBenchmark for (2976ds/2174Mi)
% 60.31/9.77  % (3489282)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 60.31/9.77  % Exception at run slice level
% 60.31/9.77  User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 60.31/9.77  % (3489298)ott-2_1_sil=16000:newcnf=on:random_seed=1172413908:avsq=on:i=869:avsqr=1,16:kws=inv_arity_squared_2972 on theBenchmark for (2972ds/869Mi)
% 60.31/9.77  % (3489292)Instruction limit reached! 
% 60.31/9.77  % (3489292)------------------------------
% 60.31/9.77  % (3489292)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 135.55/20.30  % (3489292)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 135.55/20.30  % (3489292)CaDiCaL version: 2.1.3
% 135.55/20.30  % (3489292)Termination reason: Instruction limit
% 135.55/20.30  % (3489292)Termination phase: Property scanning
% 135.55/20.30  % (3489292)Time elapsed: 0.721 s
% 135.55/20.30  % (3489292)Peak memory usage: 52 MB
% 135.55/20.30  % (3489292)Instructions burned: 1473 (million)
% 135.55/20.30  % (3489300)ott+10_1_sil=32000:tgt=ground:random_seed=2641926429:i=5114:av=off_2970 on theBenchmark for (2970ds/5114Mi)
% 135.55/20.30  % (3489296)Instruction limit reached! 
% 135.55/20.30  % (3489296)------------------------------
% 135.55/20.30  % (3489296)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 135.55/20.30  % (3489296)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 135.55/20.30  % (3489296)CaDiCaL version: 2.1.3
% 135.55/20.30  % (3489296)Termination reason: Instruction limit
% 135.55/20.30  % (3489296)Termination phase: Property scanning
% 135.55/20.30  % (3489296)Time elapsed: 0.570 s
% 135.55/20.30  % (3489296)Peak memory usage: 55 MB
% 135.55/20.30  % (3489296)Instructions burned: 2179 (million)
% 135.55/20.30  % (3489302)fmb+10_1_sil=64000:sas=cadical:bce=on:rp=on:random_seed=1725949352:i=54282_2970 on theBenchmark for (2970ds/54282Mi)
% 135.55/20.30  % (3489298)Instruction limit reached! 
% 135.55/20.30  % (3489298)------------------------------
% 135.55/20.30  % (3489298)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 135.55/20.30  % (3489298)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 135.55/20.30  % (3489298)CaDiCaL version: 2.1.3
% 135.55/20.30  % (3489298)Termination reason: Instruction limit
% 135.55/20.30  % (3489298)Termination phase: NewCNF
% 135.55/20.30  % (3489298)Time elapsed: 0.410 s
% 135.55/20.30  % (3489298)Peak memory usage: 47 MB
% 135.55/20.30  % (3489298)Instructions burned: 871 (million)
% 135.55/20.30  % (3489304)dis-11_1_sil=16000:sp=reverse_frequency:alpa=true:random_seed=1222617395:i=3512:aac=none_2967 on theBenchmark for (2967ds/3512Mi)
% 135.55/20.30  % Exception at run slice level
% 135.55/20.30  User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 135.55/20.30  % Exception at run slice level
% 135.55/20.30  User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 135.55/20.30  % (3489306)dis+21_1_sil=32000:sas=cadical:random_seed=1055049665:i=3773:amm=off_2962 on theBenchmark for (2962ds/3773Mi)
% 135.55/20.30  % (3489307)ott+11_1_sil=16000:gs=on:random_seed=1443339617:s2a=on:i=2251:s2at=3:kws=inv_arity_squared:nm=2:fsr=off:fsd=on_2962 on theBenchmark for (2962ds/2251Mi)
% 135.55/20.30  % (3489290)Instruction limit reached! 
% 135.55/20.30  % (3489290)------------------------------
% 135.55/20.30  % (3489290)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 135.55/20.30  % (3489290)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 135.55/20.30  % (3489290)CaDiCaL version: 2.1.3
% 135.55/20.30  % (3489290)Termination reason: Instruction limit
% 135.55/20.30  % (3489290)Termination phase: Saturation
% 135.55/20.30  % (3489290)Time elapsed: 2.134 s
% 135.55/20.30  % (3489290)Peak memory usage: 64 MB
% 135.55/20.30  % (3489290)Instructions burned: 5132 (million)
% 135.55/20.30  % (3489310)fmb+10_1_fmbas=predicate:sil=64000:tgt=ground:fmbss=7:random_seed=4215016172:fmbsr=1.6:i=67534_2960 on theBenchmark for (2960ds/67534Mi)
% 135.55/20.30  % (3489306)Instruction limit reached! 
% 135.55/20.30  % (3489306)------------------------------
% 135.55/20.30  % (3489306)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 135.55/20.30  % (3489306)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 135.55/20.30  % (3489306)CaDiCaL version: 2.1.3
% 135.55/20.30  % (3489306)Termination reason: Instruction limit
% 135.55/20.30  % (3489306)Termination phase: Saturation
% 135.55/20.30  % (3489306)Time elapsed: 1.024 s
% 135.55/20.30  % (3489306)Peak memory usage: 64 MB
% 135.55/20.30  % (3489306)Instructions burned: 3774 (million)
% 135.55/20.30  % (3489312)ott-22_32_sil=16000:tgt=full:fdtod=off:sp=weighted_frequency:rnwc=on:alpa=false:random_seed=3387936445:avsq=on:i=4591:add=off:avsqr=1,16:kws=inv_arity:nm=10:ins=9:fdi=4_2952 on theBenchmark for (2952ds/4591Mi)
% 135.55/20.30  % (3489307)Instruction limit reached! 
% 135.55/20.30  % (3489307)------------------------------
% 135.55/20.30  % (3489307)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 135.55/20.30  % (3489307)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 135.55/20.30  % (3489307)CaDiCaL version: 2.1.3
% 172.45/25.56  % (3489307)Termination reason: Instruction limit
% 172.45/25.56  % (3489307)Termination phase: Function definition elimination
% 172.45/25.56  % (3489307)Time elapsed: 1.122 s
% 172.45/25.56  % (3489307)Peak memory usage: 57 MB
% 172.45/25.56  % (3489307)Instructions burned: 2251 (million)
% 172.45/25.56  % (3489304)Instruction limit reached! 
% 172.45/25.56  % (3489304)------------------------------
% 172.45/25.56  % (3489304)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 172.45/25.56  % (3489304)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 172.45/25.56  % (3489304)CaDiCaL version: 2.1.3
% 172.45/25.56  % (3489304)Termination reason: Instruction limit
% 172.45/25.56  % (3489304)Termination phase: Saturation
% 172.45/25.56  % (3489304)Time elapsed: 1.670 s
% 172.45/25.56  % (3489304)Peak memory usage: 61 MB
% 172.45/25.56  % (3489304)Instructions burned: 3513 (million)
% 172.45/25.56  % (3489314)dis+10_64_to=lpo:sil=32000:spb=intro:urr=on:sac=on:random_seed=4065994977:i=29340_2951 on theBenchmark for (2951ds/29340Mi)
% 172.45/25.56  % (3489315)dis-10_1_sil=64000:sas=cadical:cn=on:random_seed=3130844417:i=5211_2950 on theBenchmark for (2950ds/5211Mi)
% 172.45/25.56  % Exception at run slice level
% 172.45/25.56  User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 172.45/25.56  % (3489318)fmb+10_1_sil=32000:sas=cadical:bce=on:fmbss=17:random_seed=2714678926:i=5497:nm=2_2948 on theBenchmark for (2948ds/5497Mi)
% 172.45/25.56  % (3489300)Instruction limit reached! 
% 172.45/25.56  % (3489300)------------------------------
% 172.45/25.56  % (3489300)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 172.45/25.56  % (3489300)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 172.45/25.56  % (3489300)CaDiCaL version: 2.1.3
% 172.45/25.56  % (3489300)Termination reason: Instruction limit
% 172.45/25.56  % (3489300)Termination phase: Saturation
% 172.45/25.56  % (3489300)Time elapsed: 2.907 s
% 172.45/25.56  % (3489300)Peak memory usage: 73 MB
% 172.45/25.56  % (3489300)Instructions burned: 5115 (million)
% 172.45/25.56  % (3489320)fmb+10_1_fmbas=predicate:sil=64000:tgt=full:sas=cadical:fmbss=15:random_seed=1661297179:fmbsr=2:i=46332_2941 on theBenchmark for (2941ds/46332Mi)
% 172.45/25.56  % (3489312)Instruction limit reached! 
% 172.45/25.56  % (3489312)------------------------------
% 172.45/25.56  % (3489312)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 172.45/25.56  % (3489312)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 172.45/25.56  % (3489312)CaDiCaL version: 2.1.3
% 172.45/25.56  % (3489312)Termination reason: Instruction limit
% 172.45/25.56  % (3489312)Termination phase: Saturation
% 172.45/25.56  % (3489312)Time elapsed: 1.134 s
% 172.45/25.56  % (3489312)Peak memory usage: 63 MB
% 172.45/25.56  % (3489312)Instructions burned: 4596 (million)
% 172.45/25.56  % (3489322)fmb+10_1_sil=128000:tgt=full:sas=cadical:fmbss=12:random_seed=3266614021:i=14071_2940 on theBenchmark for (2940ds/14071Mi)
% 172.45/25.56  % Exception at run slice level
% 172.45/25.56  User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 172.45/25.56  % Exception at run slice level
% 172.45/25.56  User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 172.45/25.56  % (3489325)ott+4_1_sil=16000:sp=arity:gs=on:random_seed=2630305927:i=8173:av=off_2933 on theBenchmark for (2933ds/8173Mi)
% 172.45/25.56  % (3489324)dis+10_161_sil=128000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=19094241:i=22565:add=on:rawr=on_2933 on theBenchmark for (2933ds/22565Mi)
% 172.45/25.56  % Exception at run slice level
% 172.45/25.56  User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 172.45/25.56  % (3489328)dis+10_16:1_sil=16000:random_seed=885797407:i=9155:fsr=off_2928 on theBenchmark for (2928ds/9155Mi)
% 172.45/25.56  % (3489315)Instruction limit reached! 
% 172.45/25.56  % (3489315)------------------------------
% 172.45/25.56  % (3489315)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 172.45/25.56  % (3489315)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 172.45/25.56  % (3489315)CaDiCaL version: 2.1.3
% 172.45/25.56  % (3489315)Termination reason: Instruction limit
% 172.45/25.56  % (3489315)Termination phase: Saturation
% 172.45/25.56  % (3489315)Time elapsed: 2.226 s
% 172.45/25.56  % (3489315)Peak memory usage: 79 MB
% 172.45/25.56  % (3489315)Instructions burned: 5211 (million)
% 172.45/25.56  % (3489330)ott-3_8_sil=64000:random_seed=405058315:i=20139:bs=on_2928 on theBenchmark for (2928ds/20139Mi)
% 172.45/25.56  % (3489325)Instruction limit reached! 
% 185.24/27.30  % (3489325)------------------------------
% 185.24/27.30  % (3489325)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 185.24/27.30  % (3489325)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 185.24/27.30  % (3489325)CaDiCaL version: 2.1.3
% 185.24/27.30  % (3489325)Termination reason: Instruction limit
% 185.24/27.30  % (3489325)Termination phase: Saturation
% 185.24/27.30  % (3489325)Time elapsed: 2.688 s
% 185.24/27.30  % (3489325)Peak memory usage: 98 MB
% 185.24/27.30  % (3489325)Instructions burned: 8176 (million)
% 185.24/27.30  % (3489332)fmb+10_1_sil=64000:tgt=ground:sas=cadical:bce=on:fmbss=9:random_seed=1750150430:fmbsr=2:i=32576_2906 on theBenchmark for (2906ds/32576Mi)
% 185.24/27.30  % Exception at run slice level
% 185.24/27.30  User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 185.24/27.30  % (3489334)ott+10_8:1_sil=16000:sp=arity:gs=on:random_seed=2966596647:i=11404_2898 on theBenchmark for (2898ds/11404Mi)
% 185.24/27.30  % (3489328)Instruction limit reached! 
% 185.24/27.30  % (3489328)------------------------------
% 185.24/27.30  % (3489328)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 185.24/27.30  % (3489328)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 185.24/27.30  % (3489328)CaDiCaL version: 2.1.3
% 185.24/27.30  % (3489328)Termination reason: Instruction limit
% 185.24/27.30  % (3489328)Termination phase: Saturation
% 185.24/27.30  % (3489328)Time elapsed: 4.922 s
% 185.24/27.30  % (3489328)Peak memory usage: 106 MB
% 185.24/27.30  % (3489328)Instructions burned: 9156 (million)
% 185.24/27.30  % (3489336)ott-11_1_sil=16000:alpa=false:sac=on:random_seed=2022026234:i=14134_2879 on theBenchmark for (2879ds/14134Mi)
% 185.24/27.30  % (3489334)Instruction limit reached! 
% 185.24/27.30  % (3489334)------------------------------
% 185.24/27.30  % (3489334)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 185.24/27.30  % (3489334)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 185.24/27.30  % (3489334)CaDiCaL version: 2.1.3
% 185.24/27.30  % (3489334)Termination reason: Instruction limit
% 185.24/27.30  % (3489334)Termination phase: Saturation
% 185.24/27.30  % (3489334)Time elapsed: 4.120 s
% 185.24/27.30  % (3489334)Peak memory usage: 132 MB
% 185.24/27.30  % (3489334)Instructions burned: 11406 (million)
% 185.24/27.30  % (3489568)dis+33_16_sil=32000:sac=on:random_seed=2868161682:i=15851:nm=0_2857 on theBenchmark for (2857ds/15851Mi)
% 185.24/27.30  % (3489568)Instruction limit reached! 
% 185.24/27.30  % (3489568)------------------------------
% 185.24/27.30  % (3489568)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 185.24/27.30  % (3489568)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 185.24/27.30  % (3489568)CaDiCaL version: 2.1.3
% 185.24/27.30  % (3489568)Termination reason: Instruction limit
% 185.24/27.30  % (3489568)Termination phase: Property scanning
% 185.24/27.30  % (3489568)Time elapsed: 3.535 s
% 185.24/27.30  % (3489568)Peak memory usage: 348 MB
% 185.24/27.30  % (3489568)Instructions burned: 15854 (million)
% 185.24/27.30  % (3489683)dis+4_1024_sil=32000:avsql=on:sp=occurrence:gs=on:avsqc=1:random_seed=1463328054:avsq=on:i=17627:add=on:amm=off_2821 on theBenchmark for (2821ds/17627Mi)
% 185.24/27.30  % (3489314)Instruction limit reached! 
% 185.24/27.30  % (3489314)------------------------------
% 185.24/27.30  % (3489314)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 185.24/27.30  % (3489314)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 185.24/27.30  % (3489314)CaDiCaL version: 2.1.3
% 185.24/27.30  % (3489314)Termination reason: Instruction limit
% 185.24/27.30  % (3489314)Termination phase: Saturation
% 185.24/27.30  % (3489314)Time elapsed: 13.886 s
% 185.24/27.30  % (3489314)Peak memory usage: 342 MB
% 185.24/27.30  % (3489314)Instructions burned: 29342 (million)
% 185.24/27.30  % (3489685)ott+10_64_anc=all:sil=128000:sas=cadical:bsr=unit_only:nwc=1:cn=on:random_seed=1850687266:s2a=on:i=53295_2811 on theBenchmark for (2811ds/53295Mi)
% 185.24/27.30  % (3489330)Instruction limit reached! 
% 185.24/27.30  % (3489330)------------------------------
% 185.24/27.30  % (3489330)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 185.24/27.30  % (3489330)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 185.24/27.30  % (3489330)CaDiCaL version: 2.1.3
% 185.24/27.30  % (3489330)Termination reason: Instruction limit
% 185.24/27.30  % (3489330)Termination phase: Saturation
% 185.24/27.30  % (3489330)Time elapsed: 12.634 s
% 185.24/27.30  % (3489330)Peak memory usage: 92 MB
% 185.24/27.30  % (3489330)Instructions burned: 20140 (million)
% 185.24/27.30  % (3489687)fmb+10_1_sil=32000:sas=cadical:fmbss=16:random_seed=1242412946:i=26857:ins=20_2801 on theBenchmark for (2801ds/26857Mi)
% 167.80/28.90  % (3489324)Instruction limit reached! 
% 167.80/28.90  % (3489324)------------------------------
% 167.80/28.90  % (3489324)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 167.80/28.90  % (3489324)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 167.80/28.90  % (3489324)CaDiCaL version: 2.1.3
% 167.80/28.90  % (3489324)Termination reason: Instruction limit
% 167.80/28.90  % (3489324)Termination phase: Saturation
% 167.80/28.90  % (3489324)Time elapsed: 14.213 s
% 167.80/28.90  % (3489324)Peak memory usage: 681 MB
% 167.80/28.90  % (3489324)Instructions burned: 22566 (million)
% 167.80/28.90  % (3489336)Instruction limit reached! 
% 167.80/28.90  % (3489336)------------------------------
% 167.80/28.90  % (3489336)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 167.80/28.90  % (3489336)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 167.80/28.90  % (3489336)CaDiCaL version: 2.1.3
% 167.80/28.90  % (3489336)Termination reason: Instruction limit
% 167.80/28.90  % (3489336)Termination phase: Saturation
% 167.80/28.90  % (3489336)Time elapsed: 8.809 s
% 167.80/28.90  % (3489336)Peak memory usage: 120 MB
% 167.80/28.90  % (3489336)Instructions burned: 14134 (million)
% 167.80/28.90  % (3489689)ott+10_1_sil=64000:plsq=on:plsqc=4:bsr=unit_only:gs=on:random_seed=2277321137:i=28120:bs=on:fsr=off_2790 on theBenchmark for (2790ds/28120Mi)
% 167.80/28.90  % (3489691)fmb+10_1_sil=256000:fmbss=7:random_seed=2864734546:fmbsr=1.6:i=182295_2790 on theBenchmark for (2790ds/182295Mi)
% 167.80/28.90  % Exception at run slice level
% 167.80/28.90  User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 167.80/28.90  % (3489693)fmb+10_1_sil=128000:fmbss=21:newcnf=on:random_seed=3725441976:i=44625:gsp=on_2789 on theBenchmark for (2789ds/44625Mi)
% 167.80/28.90  % Exception at run slice level
% 167.80/28.90  User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 167.80/28.90  % (3489695)fmb+10_1_sil=256000:sas=cadical:fmbss=15:random_seed=583214101:i=160505_2778 on theBenchmark for (2778ds/160505Mi)
% 167.80/28.90  % (3489693)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 167.80/28.90  % Exception at run slice level
% 167.80/28.90  User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 167.80/28.90  % (3489697)fmb+10_1_sil=256000:tgt=full:fmbss=10:random_seed=3680645007:fmbsr=1.3:i=225729_2767 on theBenchmark for (2767ds/225729Mi)
% 167.80/28.90  % (3489683)Instruction limit reached! 
% 167.80/28.90  % (3489683)------------------------------
% 167.80/28.90  % (3489683)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 167.80/28.90  % (3489683)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 167.80/28.90  % (3489683)CaDiCaL version: 2.1.3
% 167.80/28.90  % (3489683)Termination reason: Instruction limit
% 167.80/28.90  % (3489683)Termination phase: Saturation
% 167.80/28.90  % (3489683)Time elapsed: 5.484 s
% 167.80/28.90  % (3489683)Peak memory usage: 342 MB
% 167.80/28.90  % (3489683)Instructions burned: 17628 (million)
% 167.80/28.90  % (3489699)fmb+10_1_sil=256000:tgt=full:sas=cadical:fmbss=10:random_seed=431530479:fmbsr=2:i=185024:ins=7_2766 on theBenchmark for (2766ds/185024Mi)
% 167.80/28.90  % Exception at run slice level
% 167.80/28.90  User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 167.80/28.90  % (3489701)fmb+10_1_sas=cadical:si=on:bce=on:rp=on:random_seed=426107365:rtra=on_2765 on theBenchmark for (2765ds/0Mi)
% 167.80/28.90  % Exception at run slice level
% 167.80/28.90  User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 167.80/28.90  % (3489703)% WARNING: option uhcvi not known.
% 167.80/28.90  % (3489703)dis+11_61:31_drc=ordering:si=on:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1934779672:i=271062:add=off:rtra=on:rawr=on_2759 on theBenchmark for (2759ds/271062Mi)
% 167.80/28.90  % Exception at run slice level
% 167.80/28.90  User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 167.80/28.90  % (3489705)dis+10_161_sil=256000:plsq=on:si=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=619525605:i=176048:add=on:rtra=on:rawr=on_2755 on theBenchmark for (2755ds/176048Mi)
% 167.80/28.90  % Exception at run slice level
% 167.80/28.90  User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 167.80/28.90  % (3489707)dis+10_1_sil=32000:si=on:sp=arity:random_seed=266351601:i=206:fgj=on:rtra=on_2748 on theBenchmark for (2748ds/206Mi)
% 167.80/28.90  % (3489707)Instruction limit reached! 
% 167.80/28.90  % (3489707)------------------------------
% 167.80/28.90  % (3489707)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 167.80/28.90  % (3489707)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 167.80/28.90  % (3489707)CaDiCaL version: 2.1.3
% 167.80/28.90  % (3489707)Termination reason: Instruction limit
% 167.80/28.90  % (3489707)Termination phase: shuffling
% 167.80/28.90  % (3489707)Time elapsed: 0.118 s
% 167.80/28.90  % (3489707)Peak memory usage: 31 MB
% 167.80/28.90  % (3489707)Instructions burned: 207 (million)
% 167.80/28.90  % (3489709)ott+31_1_sil=16000:si=on:lcm=predicate:bce=on:newcnf=on:random_seed=1091182384:i=232:rtra=on_2747 on theBenchmark for (2747ds/232Mi)
% 167.80/28.90  % (3489709)Instruction limit reached! 
% 167.80/28.90  % (3489709)------------------------------
% 167.80/28.90  % (3489709)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 167.80/28.90  % (3489709)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 167.80/28.90  % (3489709)CaDiCaL version: 2.1.3
% 167.80/28.90  % (3489709)Termination reason: Instruction limit
% 167.80/28.90  % (3489709)Termination phase: NewCNF
% 167.80/28.90  % (3489709)Time elapsed: 0.170 s
% 167.80/28.90  % (3489709)Peak memory usage: 38 MB
% 167.80/28.90  % (3489709)Instructions burned: 233 (million)
% 167.80/28.90  % (3489711)ott+1_1_to=lpo:sil=16000:si=on:sp=reverse_arity:erd=off:random_seed=2492913366:i=262:rtra=on_2745 on theBenchmark for (2745ds/262Mi)
% 167.80/28.90  % (3489711)Instruction limit reached! 
% 167.80/28.90  % (3489711)------------------------------
% 167.80/28.90  % (3489711)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 167.80/28.90  % (3489711)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 167.80/28.90  % (3489711)CaDiCaL version: 2.1.3
% 167.80/28.90  % (3489711)Termination reason: Instruction limit
% 167.80/28.90  % (3489711)Termination phase: shuffling
% 167.80/28.90  % (3489711)Time elapsed: 0.145 s
% 167.80/28.90  % (3489711)Peak memory usage: 32 MB
% 167.80/28.90  % (3489711)Instructions burned: 263 (million)
% 167.80/28.90  % (3489713)ott-3_16_to=lpo:sil=16000:si=on:sp=arity:fd=off:rp=on:random_seed=1546872820:i=318:bs=unit_only:nicw=on:fsr=off:rtra=on:amm=off_2743 on theBenchmark for (2743ds/318Mi)
% 167.80/28.90  % (3489713)Instruction limit reached! 
% 167.80/28.90  % (3489713)------------------------------
% 167.80/28.90  % (3489713)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 167.80/28.90  % (3489713)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 167.80/28.90  % (3489713)CaDiCaL version: 2.1.3
% 167.80/28.90  % (3489713)Termination reason: Instruction limit
% 167.80/28.90  % (3489713)Termination phase: shuffling
% 167.80/28.90  % (3489713)Time elapsed: 0.176 s
% 167.80/28.90  % (3489713)Peak memory usage: 33 MB
% 167.80/28.90  % (3489713)Instructions burned: 320 (million)
% 167.80/28.90  % (3489715)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:si=on:random_seed=3798439533:i=1428:nm=2:rtra=on_2741 on theBenchmark for (2741ds/1428Mi)
% 167.80/28.90  % (3489715)Instruction limit reached! 
% 167.80/28.90  % (3489715)------------------------------
% 167.80/28.90  % (3489715)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 167.80/28.90  % (3489715)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 167.80/28.90  % (3489715)CaDiCaL version: 2.1.3
% 167.80/28.90  % (3489715)Termination reason: Instruction limit
% 167.80/28.90  % (3489715)Termination phase: Preprocessing 3
% 167.80/28.90  % (3489715)Time elapsed: 0.799 s
% 167.80/28.90  % (3489715)Peak memory usage: 58 MB
% 167.80/28.90  % (3489715)Instructions burned: 1428 (million)
% 167.80/28.90  % (3489717)ott+32_1_sil=16000:bsd=on:si=on:sp=const_max:bce=on:random_seed=3791809943:i=262:bd=preordered:rtra=on:fsd=on_2733 on theBenchmark for (2733ds/262Mi)
% 167.80/28.90  % (3489717)Instruction limit reached! 
% 167.80/28.90  % (3489717)------------------------------
% 167.80/28.90  % (3489717)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 167.80/28.90  % (3489717)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 167.80/28.90  % (3489717)CaDiCaL version: 2.1.3
% 167.80/28.90  % (3489717)Termination reason: Instruction limit
% 167.80/28.90  % (3489717)Termination phase: shuffling
% 167.80/28.90  % (3489717)Time elapsed: 0.149 s
% 167.80/28.90  % (3489717)Peak memory usage: 32 MB
% 167.80/28.90  % (3489717)Instructions burned: 263 (million)
% 167.80/28.90  % (3489719)dis+11_32_anc=none:slsqr=2,1:sil=64000:sas=cadical:si=on:lma=off:lsd=50:s2agt=8:slsqc=1:kmz=on:newcnf=on:slsq=on:random_seed=2780322314:i=1368:slsql=off:bs=unit_only:nicw=on:rtra=on:rawr=on_2731 on theBenchmark for (2731ds/1368Mi)
% 167.80/28.90  % (3489719)Instruction limit reached! 
% 167.80/28.90  % (3489719)------------------------------
% 167.80/28.90  % (3489719)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 167.80/28.90  % (3489719)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 167.80/28.90  % (3489719)CaDiCaL version: 2.1.3
% 167.80/28.90  % (3489719)Termination reason: Instruction limit
% 167.80/28.90  % (3489719)Termination phase: NewCNF
% 167.80/28.90  % (3489719)Time elapsed: 0.730 s
% 167.80/28.90  % (3489719)Peak memory usage: 55 MB
% 167.80/28.90  % (3489719)Instructions burned: 1369 (million)
% 167.80/28.90  % (3489721)ott-21_1_sil=16000:si=on:fs=off:random_seed=78134479:i=360:av=off:fsr=off:rtra=on_2724 on theBenchmark for (2724ds/360Mi)
% 167.80/28.90  % (3489721)Instruction limit reached! 
% 167.80/28.90  % (3489721)------------------------------
% 167.80/28.90  % (3489721)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 167.80/28.90  % (3489721)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 167.80/28.90  % (3489721)CaDiCaL version: 2.1.3
% 167.80/28.90  % (3489721)Termination reason: Instruction limit
% 167.80/28.90  % (3489721)Termination phase: shuffling
% 167.80/28.90  % (3489721)Time elapsed: 0.198 s
% 167.80/28.90  % (3489721)Peak memory usage: 34 MB
% 167.80/28.90  % (3489721)Instructions burned: 362 (million)
% 167.80/28.90  % (3489723)dis+10_4_sil=64000:si=on:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=2672375155:i=954:bd=all:rtra=on_2721 on theBenchmark for (2721ds/954Mi)
% 167.80/28.90  % (3489703) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3489196-3489703"...
% 167.80/28.90  % (3489703)...printing done.
% 167.80/28.90  % (3489703)Refutation found. Thanks to Tanya!
% 167.80/28.90  % SZS status ContradictoryAxioms for theBenchmark
% 167.80/28.90  % SZS output start Proof for theBenchmark
% See solution above
% 167.80/28.94  % (3489703)------------------------------
% 167.80/28.94  % (3489703)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 167.80/28.94  % (3489703)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 167.80/28.94  % (3489703)CaDiCaL version: 2.1.3
% 167.80/28.94  % (3489703)Termination reason: Refutation
% 167.80/28.94  % (3489703)Time elapsed: 4.170 s
% 167.80/28.94  % (3489703)Peak memory usage: 122 MB
% 167.80/28.94  % (3489703)Instructions burned: 14094 (million)
% 167.80/28.94  % (3489196)Success in time 28.465 s
% 167.80/28.94  % Vampire exiting
%------------------------------------------------------------------------------