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Vampire---5.0.1.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : ITP278_4 : TPTP v9.3.1. Bugfixed v9.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM

% Computer : n011.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Tue Sep 29 11:33:11 AM UTC 2026

% Result   : Theorem 88.20s 15.06s
% Output   : Refutation 96.74s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   16 (  14 unt;   0 typ;   0 def)
%            Number of atoms       :   26 (  19 equ)
%            Maximal formula atoms :    6 (   1 avg)
%            Number of connectives :   16 (   6   ~;   1   |;   8   &)
%                                         (   0 <=>;   1  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   2 avg)
%            Maximal term depth    :    7 (   2 avg)
%            Number of FOOLs       :    1 (   1 fml;   0 var)
%            Number of types       :   14 (  13 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of predicates  :  893 ( 891 usr;   1 prp; 0-6 aty)
%            Number of functors    : 4125 (4125 usr; 248 con; 0-9 aty)
%            Number of variables   :    2 (   2   !;   0   ?;   2   :)

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

tff(func_def_779,type,
    aTP_Lamp_to: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_780,type,
    aTP_Lamp_tp: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_781,type,
    aTP_Lamp_tq: 
      !>[X0: $tType,X1: $tType] : fun(X0,X1) ).

tff(func_def_782,type,
    aTP_Lamp_tr: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_783,type,
    aTP_Lamp_ts: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_784,type,
    aTP_Lamp_tt: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_785,type,
    aTP_Lamp_tu: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_786,type,
    aTP_Lamp_tv: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_787,type,
    aTP_Lamp_tw: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_788,type,
    aTP_Lamp_tx: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_789,type,
    aTP_Lamp_ty: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_790,type,
    aTP_Lamp_tz: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_791,type,
    aTP_Lamp_ua: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_792,type,
    aTP_Lamp_ub: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_793,type,
    aTP_Lamp_uc: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_794,type,
    aTP_Lamp_ud: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_795,type,
    aTP_Lamp_ue: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_796,type,
    aTP_Lamp_uf: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_797,type,
    aTP_Lamp_ug: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_798,type,
    aTP_Lamp_uh: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_799,type,
    aTP_Lamp_ui: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_800,type,
    aTP_Lamp_uj: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_801,type,
    aTP_Lamp_uk: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_802,type,
    aTP_Lamp_ul: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_803,type,
    aTP_Lamp_um: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_804,type,
    aTP_Lamp_un: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_805,type,
    aTP_Lamp_uo: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_806,type,
    aTP_Lamp_up: 
      !>[X0: $tType,X1: $tType] : fun(X0,X1) ).

tff(func_def_807,type,
    aTP_Lamp_uq: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_808,type,
    aTP_Lamp_ur: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_809,type,
    aTP_Lamp_us: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_810,type,
    aTP_Lamp_ut: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_811,type,
    aTP_Lamp_uu: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_812,type,
    aTP_Lamp_uv: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_813,type,
    aTP_Lamp_uw: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_814,type,
    aTP_Lamp_ux: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_815,type,
    aTP_Lamp_uy: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_816,type,
    aTP_Lamp_uz: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_817,type,
    aTP_Lamp_va: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_818,type,
    aTP_Lamp_vb: 
      !>[X0: $tType,X1: $tType] : fun(X0,X1) ).

tff(func_def_819,type,
    aTP_Lamp_vc: 
      !>[X0: $tType,X1: $tType] : fun(X0,X1) ).

tff(func_def_820,type,
    aTP_Lamp_vd: 
      !>[X0: $tType,X1: $tType] : fun(X0,X1) ).

tff(func_def_821,type,
    aTP_Lamp_ve: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_822,type,
    aTP_Lamp_vf: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_823,type,
    aTP_Lamp_vg: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_824,type,
    aTP_Lamp_vh: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_825,type,
    aTP_Lamp_vi: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_826,type,
    aTP_Lamp_vj: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_827,type,
    aTP_Lamp_vk: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_828,type,
    aTP_Lamp_vl: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_829,type,
    aTP_Lamp_vm: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_830,type,
    aTP_Lamp_vn: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_831,type,
    aTP_Lamp_vo: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_832,type,
    aTP_Lamp_vp: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_833,type,
    aTP_Lamp_vq: 
      !>[X0: $tType,X1: $tType] : fun(X0,X1) ).

tff(func_def_834,type,
    aTP_Lamp_vr: 
      !>[X0: $tType,X1: $tType] : fun(X0,X1) ).

tff(func_def_835,type,
    aTP_Lamp_vs: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_836,type,
    aTP_Lamp_vt: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_837,type,
    aTP_Lamp_vu: 
      !>[X0: $tType,X1: $tType] : fun(X0,X1) ).

tff(func_def_838,type,
    aTP_Lamp_vv: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_839,type,
    aTP_Lamp_vw: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_840,type,
    aTP_Lamp_vx: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_841,type,
    aTP_Lamp_vy: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_842,type,
    aTP_Lamp_vz: 
      !>[X0: $tType,X1: $tType] : fun(X0,X1) ).

tff(func_def_843,type,
    aTP_Lamp_wa: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_844,type,
    aTP_Lamp_wb: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_845,type,
    aTP_Lamp_wc: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_846,type,
    aTP_Lamp_wd: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_847,type,
    aTP_Lamp_we: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_848,type,
    aTP_Lamp_wf: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_849,type,
    aTP_Lamp_wg: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_850,type,
    aTP_Lamp_wh: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_851,type,
    aTP_Lamp_wi: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_852,type,
    aTP_Lamp_wj: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_853,type,
    aTP_Lamp_wk: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_854,type,
    aTP_Lamp_wl: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_855,type,
    aTP_Lamp_wm: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_856,type,
    aTP_Lamp_wn: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_857,type,
    aTP_Lamp_wo: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_858,type,
    aTP_Lamp_wp: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_859,type,
    aTP_Lamp_wq: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_860,type,
    aTP_Lamp_wr: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_861,type,
    aTP_Lamp_ws: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_862,type,
    aTP_Lamp_wt: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_863,type,
    aTP_Lamp_wu: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_864,type,
    aTP_Lamp_wv: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_865,type,
    aTP_Lamp_ww: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_866,type,
    aTP_Lamp_wx: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_867,type,
    aTP_Lamp_wy: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_868,type,
    aTP_Lamp_wz: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_869,type,
    aTP_Lamp_xa: 
      !>[X0: $tType,X1: $tType] : fun(X0,X1) ).

tff(func_def_870,type,
    aTP_Lamp_xb: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_871,type,
    aTP_Lamp_xc: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_872,type,
    aTP_Lamp_xd: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_873,type,
    aTP_Lamp_xe: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_874,type,
    aTP_Lamp_xf: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_875,type,
    aTP_Lamp_xg: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_876,type,
    aTP_Lamp_xh: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_877,type,
    aTP_Lamp_xi: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_878,type,
    aTP_Lamp_xj: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_879,type,
    aTP_Lamp_xk: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_880,type,
    aTP_Lamp_xl: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_881,type,
    aTP_Lamp_xm: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_882,type,
    aTP_Lamp_xn: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_883,type,
    aTP_Lamp_xo: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_884,type,
    aTP_Lamp_xp: 
      !>[X0: $tType,X1: $tType] : fun(X0,X1) ).

tff(func_def_885,type,
    aTP_Lamp_xq: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_886,type,
    aTP_Lamp_xr: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_887,type,
    aTP_Lamp_xs: 
      !>[X0: $tType,X1: $tType] : fun(X0,X1) ).

tff(func_def_888,type,
    aTP_Lamp_xt: 
      !>[X0: $tType,X1: $tType] : fun(X0,X1) ).

tff(func_def_889,type,
    aTP_Lamp_xu: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_890,type,
    aTP_Lamp_xv: 
      !>[X0: $tType,X1: $tType] : fun(X0,X1) ).

tff(func_def_891,type,
    aTP_Lamp_xw: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_892,type,
    aTP_Lamp_xx: 
      !>[X0: $tType,X1: $tType] : fun(X0,X1) ).

tff(func_def_893,type,
    aTP_Lamp_xy: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_894,type,
    aTP_Lamp_xz: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_895,type,
    aTP_Lamp_ya: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_896,type,
    aTP_Lamp_yb: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_897,type,
    aTP_Lamp_yc: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_898,type,
    aTP_Lamp_yd: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_899,type,
    aTP_Lamp_ye: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_900,type,
    aTP_Lamp_yf: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_901,type,
    aTP_Lamp_yg: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_902,type,
    aTP_Lamp_yh: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_903,type,
    aTP_Lamp_yi: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_904,type,
    aTP_Lamp_yj: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_905,type,
    aTP_Lamp_yk: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_906,type,
    aTP_Lamp_yl: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_907,type,
    aTP_Lamp_ym: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_908,type,
    aTP_Lamp_yn: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_909,type,
    aTP_Lamp_yo: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_910,type,
    aTP_Lamp_yp: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_911,type,
    aTP_Lamp_yq: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_912,type,
    aTP_Lamp_yr: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_913,type,
    aTP_Lamp_ys: 
      !>[X0: $tType,X1: $tType] : fun(X0,X1) ).

tff(func_def_914,type,
    aTP_Lamp_yt: 
      !>[X0: $tType,X1: $tType] : fun(X0,X1) ).

tff(func_def_915,type,
    aTP_Lamp_yu: 
      !>[X0: $tType,X1: $tType] : fun(X0,X1) ).

tff(func_def_916,type,
    aTP_Lamp_yv: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_917,type,
    aTP_Lamp_yw: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_918,type,
    aTP_Lamp_yx: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_919,type,
    aTP_Lamp_yy: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_920,type,
    aTP_Lamp_yz: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_921,type,
    aTP_Lamp_za: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_922,type,
    aTP_Lamp_zb: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_923,type,
    aTP_Lamp_zc: 
      !>[X0: $tType,X1: $tType] : fun(X0,X1) ).

tff(func_def_924,type,
    aTP_Lamp_zd: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_925,type,
    aTP_Lamp_ze: 
      !>[X0: $tType,X1: $tType] : fun(X0,X1) ).

tff(func_def_926,type,
    aTP_Lamp_zf: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_927,type,
    aTP_Lamp_zg: 
      !>[X0: $tType,X1: $tType] : fun(X0,X1) ).

tff(func_def_928,type,
    aTP_Lamp_zh: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_929,type,
    aTP_Lamp_zi: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_930,type,
    aTP_Lamp_zj: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_931,type,
    aTP_Lamp_zk: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_932,type,
    aTP_Lamp_zl: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_933,type,
    aTP_Lamp_zm: 
      !>[X0: $tType,X1: $tType] : fun(X0,X1) ).

tff(func_def_934,type,
    aTP_Lamp_zn: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_935,type,
    aTP_Lamp_zo: 
      !>[X0: $tType,X1: $tType] : fun(X0,X1) ).

tff(func_def_936,type,
    aTP_Lamp_zp: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_937,type,
    aTP_Lamp_zq: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_938,type,
    aTP_Lamp_zr: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_939,type,
    aTP_Lamp_zs: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_940,type,
    aTP_Lamp_zt: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_941,type,
    aTP_Lamp_zu: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_942,type,
    aTP_Lamp_zv: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_943,type,
    aTP_Lamp_zw: 
      !>[X0: $tType,X1: $tType] : fun(X0,X1) ).

tff(func_def_944,type,
    aTP_Lamp_zx: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_945,type,
    aTP_Lamp_zy: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_946,type,
    aTP_Lamp_zz: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_947,type,
    archimedean_ceiling: 
      !>[X0: $tType] : ( X0 > int ) ).

tff(func_def_948,type,
    archim6421214686448440834_floor: 
      !>[X0: $tType] : ( X0 > int ) ).

tff(func_def_949,type,
    archimedean_frac: 
      !>[X0: $tType] : ( X0 > X0 ) ).

tff(func_def_950,type,
    archimedean_round: 
      !>[X0: $tType] : ( X0 > int ) ).

tff(func_def_951,type,
    bNF_Cardinal_Csum: 
      !>[X0: $tType,X1: $tType] : ( ( set(product_prod(X0,X0)) * fun(X0,set(product_prod(X1,X1))) ) > set(product_prod(product_prod(X0,X1),product_prod(X0,X1))) ) ).

tff(func_def_952,type,
    bNF_Cardinal_cexp: 
      !>[X0: $tType,X1: $tType] : ( ( set(product_prod(X0,X0)) * set(product_prod(X1,X1)) ) > set(product_prod(fun(X1,X0),fun(X1,X0))) ) ).

tff(func_def_953,type,
    bNF_Cardinal_cone: set(product_prod(product_unit,product_unit)) ).

tff(func_def_954,type,
    bNF_Cardinal_cprod: 
      !>[X0: $tType,X1: $tType] : ( ( set(product_prod(X0,X0)) * set(product_prod(X1,X1)) ) > set(product_prod(product_prod(X0,X1),product_prod(X0,X1))) ) ).

tff(func_def_955,type,
    bNF_Cardinal_csum: 
      !>[X0: $tType,X1: $tType] : ( ( set(product_prod(X0,X0)) * set(product_prod(X1,X1)) ) > set(product_prod(sum_sum(X0,X1),sum_sum(X0,X1))) ) ).

tff(func_def_956,type,
    bNF_Cardinal_ctwo: set(product_prod($o,$o)) ).

tff(func_def_957,type,
    bNF_Cardinal_czero: 
      !>[X0: $tType] : set(product_prod(X0,X0)) ).

tff(func_def_958,type,
    bNF_Ca8387033319878233205ardSuc: 
      !>[X0: $tType] : ( set(product_prod(X0,X0)) > set(product_prod(set(X0),set(X0))) ) ).

tff(func_def_959,type,
    bNF_Ca6860139660246222851ard_of: 
      !>[X0: $tType] : ( set(X0) > set(product_prod(X0,X0)) ) ).

tff(func_def_960,type,
    bNF_Ca8665028551170535155natLeq: set(product_prod(nat,nat)) ).

tff(func_def_961,type,
    bNF_Gr: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,X1) ) > set(product_prod(X0,X1)) ) ).

tff(func_def_962,type,
    bNF_collect: 
      !>[X0: $tType,X1: $tType] : ( set(fun(X0,set(X1))) > fun(X0,set(X1)) ) ).

tff(func_def_963,type,
    bNF_rel_fun: 
      !>[X0: $tType,X1: $tType,X2: $tType,X3: $tType] : ( ( fun(X0,fun(X1,$o)) * fun(X2,fun(X3,$o)) ) > fun(fun(X0,X2),fun(fun(X1,X3),$o)) ) ).

tff(func_def_964,type,
    bNF_Gr5436034075474128252omCard: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * set(product_prod(X1,X1)) * X1 ) > X0 ) ).

tff(func_def_965,type,
    bNF_Greatest_image2: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( set(X0) * fun(X0,X1) * fun(X0,X2) ) > set(product_prod(X1,X2)) ) ).

tff(func_def_966,type,
    bNF_Gr4221423524335903396lImage: 
      !>[X0: $tType,X1: $tType] : ( ( set(product_prod(X0,X0)) * fun(X0,X1) ) > set(product_prod(X1,X1)) ) ).

tff(func_def_967,type,
    bNF_Gr7122648621184425601vImage: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * set(product_prod(X1,X1)) * fun(X0,X1) ) > set(product_prod(X0,X0)) ) ).

tff(func_def_968,type,
    bNF_Greatest_toCard: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * set(product_prod(X1,X1)) ) > fun(X0,X1) ) ).

tff(func_def_969,type,
    bNF_Wellorder_Func: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * set(X1) ) > set(fun(X0,X1)) ) ).

tff(func_def_970,type,
    bNF_We4925052301507509544nc_map: 
      !>[X0: $tType,X1: $tType,X2: $tType,X3: $tType] : ( ( set(X0) * fun(X1,X2) * fun(X0,X3) ) > fun(fun(X3,X1),fun(X0,X2)) ) ).

tff(func_def_971,type,
    bNF_Wellorder_bsqr: 
      !>[X0: $tType] : ( set(product_prod(X0,X0)) > set(product_prod(product_prod(X0,X0),product_prod(X0,X0))) ) ).

tff(func_def_972,type,
    bNF_We2720479622203943262_image: 
      !>[X0: $tType,X1: $tType] : ( ( set(product_prod(X0,X0)) * fun(X0,X1) ) > set(product_prod(X1,X1)) ) ).

tff(func_def_973,type,
    bNF_We413866401316099525erIncl: 
      !>[X0: $tType] : ( set(product_prod(X0,X0)) > set(product_prod(set(X0),set(X0))) ) ).

tff(func_def_974,type,
    bNF_Wellorder_ordIso: 
      !>[X0: $tType,X1: $tType] : set(product_prod(set(product_prod(X0,X0)),set(product_prod(X1,X1)))) ).

tff(func_def_975,type,
    bNF_Wellorder_ordLeq: 
      !>[X0: $tType,X1: $tType] : set(product_prod(set(product_prod(X0,X0)),set(product_prod(X1,X1)))) ).

tff(func_def_976,type,
    bNF_We4044943003108391690rdLess: 
      !>[X0: $tType,X1: $tType] : set(product_prod(set(product_prod(X0,X0)),set(product_prod(X1,X1)))) ).

tff(func_def_977,type,
    bNF_We1388413361240627857o_max2: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * X0 * X0 ) > X0 ) ).

tff(func_def_978,type,
    bNF_We6954850376910717587_minim: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * set(X0) ) > X0 ) ).

tff(func_def_979,type,
    bNF_Wellorder_wo_suc: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * set(X0) ) > X0 ) ).

tff(func_def_980,type,
    basic_BNF_size_prod: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,nat) * fun(X1,nat) * product_prod(X0,X1) ) > nat ) ).

tff(func_def_981,type,
    basic_fsts: 
      !>[X0: $tType,X1: $tType] : ( product_prod(X0,X1) > set(X0) ) ).

tff(func_def_982,type,
    basic_snds: 
      !>[X0: $tType,X1: $tType] : ( product_prod(X0,X1) > set(X1) ) ).

tff(func_def_983,type,
    binomial: nat > fun(nat,nat) ).

tff(func_def_984,type,
    gbinomial: 
      !>[X0: $tType] : ( X0 > fun(nat,X0) ) ).

tff(func_def_985,type,
    bit_and_int_rel: fun(product_prod(int,int),fun(product_prod(int,int),$o)) ).

tff(func_def_986,type,
    bit_and_not_num: ( num * num ) > option(num) ).

tff(func_def_987,type,
    bit_and_not_num_rel: fun(product_prod(num,num),fun(product_prod(num,num),$o)) ).

tff(func_def_988,type,
    bit_concat_bit: ( nat * int * int ) > int ).

tff(func_def_989,type,
    bit_or_not_num_neg: ( num * num ) > num ).

tff(func_def_990,type,
    bit_or3848514188828904588eg_rel: fun(product_prod(num,num),fun(product_prod(num,num),$o)) ).

tff(func_def_991,type,
    bit_ri4277139882892585799ns_not: 
      !>[X0: $tType] : ( X0 > X0 ) ).

tff(func_def_992,type,
    bit_ri4674362597316999326ke_bit: 
      !>[X0: $tType] : ( nat > fun(X0,X0) ) ).

tff(func_def_993,type,
    bit_se5824344872417868541ns_and: 
      !>[X0: $tType] : ( ( X0 * X0 ) > X0 ) ).

tff(func_def_994,type,
    bit_se4197421643247451524op_bit: 
      !>[X0: $tType] : ( ( nat * X0 ) > X0 ) ).

tff(func_def_995,type,
    bit_se8732182000553998342ip_bit: 
      !>[X0: $tType] : ( ( nat * X0 ) > X0 ) ).

tff(func_def_996,type,
    bit_se2239418461657761734s_mask: 
      !>[X0: $tType] : ( nat > X0 ) ).

tff(func_def_997,type,
    bit_se1065995026697491101ons_or: 
      !>[X0: $tType] : ( ( X0 * X0 ) > X0 ) ).

tff(func_def_998,type,
    bit_se4730199178511100633sh_bit: 
      !>[X0: $tType] : ( ( nat * X0 ) > X0 ) ).

tff(func_def_999,type,
    bit_se5668285175392031749et_bit: 
      !>[X0: $tType] : ( ( nat * X0 ) > X0 ) ).

tff(func_def_1000,type,
    bit_se2584673776208193580ke_bit: 
      !>[X0: $tType] : ( nat > fun(X0,X0) ) ).

tff(func_def_1001,type,
    bit_se2638667681897837118et_bit: 
      !>[X0: $tType] : ( ( nat * X0 ) > X0 ) ).

tff(func_def_1002,type,
    bit_se5824344971392196577ns_xor: 
      !>[X0: $tType] : ( ( X0 * X0 ) > X0 ) ).

tff(func_def_1003,type,
    bit_se5641148757651400278ts_bit: 
      !>[X0: $tType] : ( X0 > fun(nat,$o) ) ).

tff(func_def_1004,type,
    bit_take_bit_num: ( nat * num ) > option(num) ).

tff(func_def_1005,type,
    bit_un7362597486090784418nd_num: ( num * num ) > option(num) ).

tff(func_def_1006,type,
    bit_un4731106466462545111um_rel: fun(product_prod(num,num),fun(product_prod(num,num),$o)) ).

tff(func_def_1007,type,
    bit_un2480387367778600638or_num: ( num * num ) > option(num) ).

tff(func_def_1008,type,
    bit_un2901131394128224187um_rel: fun(product_prod(num,num),fun(product_prod(num,num),$o)) ).

tff(func_def_1009,type,
    code_bit_cut_integer: code_integer > product_prod(code_integer,$o) ).

tff(func_def_1010,type,
    code_divmod_abs: ( code_integer * code_integer ) > product_prod(code_integer,code_integer) ).

tff(func_def_1011,type,
    code_divmod_integer: ( code_integer * code_integer ) > product_prod(code_integer,code_integer) ).

tff(func_def_1012,type,
    code_int_of_integer: code_integer > int ).

tff(func_def_1013,type,
    code_integer_of_int: int > code_integer ).

tff(func_def_1014,type,
    code_integer_of_nat: nat > code_integer ).

tff(func_def_1015,type,
    code_integer_of_num: fun(num,code_integer) ).

tff(func_def_1016,type,
    code_nat_of_integer: fun(code_integer,nat) ).

tff(func_def_1017,type,
    code_negative: fun(num,code_integer) ).

tff(func_def_1018,type,
    code_num_of_integer: code_integer > num ).

tff(func_def_1019,type,
    code_positive: fun(num,code_integer) ).

tff(func_def_1020,type,
    code_Target_negative: fun(num,int) ).

tff(func_def_1021,type,
    code_Target_positive: fun(num,int) ).

tff(func_def_1022,type,
    complete_Inf_Inf: 
      !>[X0: $tType] : fun(set(X0),X0) ).

tff(func_def_1023,type,
    complete_Sup_Sup: 
      !>[X0: $tType] : fun(set(X0),X0) ).

tff(func_def_1024,type,
    comple7512665784863727008ratesp: 
      !>[X0: $tType] : ( fun(X0,X0) > fun(X0,$o) ) ).

tff(func_def_1025,type,
    arg: complex > real ).

tff(func_def_1026,type,
    cis: real > complex ).

tff(func_def_1027,type,
    cnj: complex > complex ).

tff(func_def_1028,type,
    complex2: ( real * real ) > complex ).

tff(func_def_1029,type,
    im: complex > real ).

tff(func_def_1030,type,
    re: complex > real ).

tff(func_def_1031,type,
    csqrt: complex > complex ).

tff(func_def_1032,type,
    imaginary_unit: complex ).

tff(func_def_1033,type,
    rcis: ( real * real ) > complex ).

tff(func_def_1034,type,
    counta4804993851260445106t_into: 
      !>[X0: $tType] : fun(set(X0),fun(nat,X0)) ).

tff(func_def_1035,type,
    adjust_div: product_prod(int,int) > int ).

tff(func_def_1036,type,
    adjust_mod: ( int * int ) > int ).

tff(func_def_1037,type,
    divmod_nat: ( nat * nat ) > product_prod(nat,nat) ).

tff(func_def_1038,type,
    unique8689654367752047608divmod: 
      !>[X0: $tType] : ( ( num * num ) > product_prod(X0,X0) ) ).

tff(func_def_1039,type,
    unique1321980374590559556d_step: 
      !>[X0: $tType] : ( ( num * product_prod(X0,X0) ) > product_prod(X0,X0) ) ).

tff(func_def_1040,type,
    equiv_proj: 
      !>[X0: $tType,X1: $tType] : ( ( set(product_prod(X0,X1)) * X0 ) > set(X1) ) ).

tff(func_def_1041,type,
    equiv_quotient: 
      !>[X0: $tType] : ( ( set(X0) * set(product_prod(X0,X0)) ) > set(set(X0)) ) ).

tff(func_def_1042,type,
    extended_eSuc: extended_enat > extended_enat ).

tff(func_def_1043,type,
    extended_enat2: nat > extended_enat ).

tff(func_def_1044,type,
    extended_case_enat: 
      !>[X0: $tType] : ( ( fun(nat,X0) * X0 * extended_enat ) > X0 ) ).

tff(func_def_1045,type,
    extend4730790105801354508finity: 
      !>[X0: $tType] : X0 ).

tff(func_def_1046,type,
    comm_s3205402744901411588hammer: 
      !>[X0: $tType] : ( ( X0 * nat ) > X0 ) ).

tff(func_def_1047,type,
    semiring_char_0_fact: 
      !>[X0: $tType] : ( nat > X0 ) ).

tff(func_def_1048,type,
    inverse_inverse: 
      !>[X0: $tType] : fun(X0,X0) ).

tff(func_def_1049,type,
    at_bot: 
      !>[X0: $tType] : filter(X0) ).

tff(func_def_1050,type,
    at_top: 
      !>[X0: $tType] : filter(X0) ).

tff(func_def_1051,type,
    eventually: 
      !>[X0: $tType] : fun(fun(X0,$o),fun(filter(X0),$o)) ).

tff(func_def_1052,type,
    abs_filter: 
      !>[X0: $tType] : ( fun(fun(X0,$o),$o) > filter(X0) ) ).

tff(func_def_1053,type,
    filtercomap: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * filter(X1) ) > filter(X0) ) ).

tff(func_def_1054,type,
    filtermap: 
      !>[X0: $tType,X1: $tType] : fun(fun(X0,X1),fun(filter(X0),filter(X1))) ).

tff(func_def_1055,type,
    finite5375528669736107172at_top: 
      !>[X0: $tType] : ( set(X0) > filter(set(X0)) ) ).

tff(func_def_1056,type,
    frequently: 
      !>[X0: $tType] : fun(fun(X0,$o),fun(filter(X0),$o)) ).

tff(func_def_1057,type,
    map_filter_on: 
      !>[X0: $tType,X1: $tType] : ( set(X0) > fun(fun(X0,X1),fun(filter(X0),filter(X1))) ) ).

tff(func_def_1058,type,
    principal: 
      !>[X0: $tType] : ( set(X0) > filter(X0) ) ).

tff(func_def_1059,type,
    prod_filter: 
      !>[X0: $tType,X1: $tType] : ( ( filter(X0) * filter(X1) ) > filter(product_prod(X0,X1)) ) ).

tff(func_def_1060,type,
    rel_filter: 
      !>[X0: $tType,X1: $tType] : ( fun(X0,fun(X1,$o)) > fun(filter(X0),fun(filter(X1),$o)) ) ).

tff(func_def_1061,type,
    finite_Fpow: 
      !>[X0: $tType] : ( set(X0) > set(set(X0)) ) ).

tff(func_def_1062,type,
    finite_card: 
      !>[X0: $tType] : fun(set(X0),nat) ).

tff(func_def_1063,type,
    finite_finite2: 
      !>[X0: $tType] : fun(set(X0),$o) ).

tff(func_def_1064,type,
    finite_fold: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,fun(X1,X1)) * X1 * set(X0) ) > X1 ) ).

tff(func_def_1065,type,
    finite_folding_F: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,fun(X1,X1)) * X1 ) > fun(set(X0),X1) ) ).

tff(func_def_1066,type,
    comp: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( fun(X0,X1) > fun(fun(X2,X0),fun(X2,X1)) ) ).

tff(func_def_1067,type,
    fun_upd: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * X0 * X1 ) > fun(X0,X1) ) ).

tff(func_def_1068,type,
    id: 
      !>[X0: $tType] : fun(X0,X0) ).

tff(func_def_1069,type,
    map_fun: 
      !>[X0: $tType,X1: $tType,X2: $tType,X3: $tType] : ( ( fun(X0,X1) * fun(X2,X3) ) > fun(fun(X1,X2),fun(X0,X3)) ) ).

tff(func_def_1070,type,
    the_inv_into: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,X1) * X1 ) > X0 ) ).

tff(func_def_1071,type,
    fun_max_strict: set(product_prod(set(product_prod(nat,nat)),set(product_prod(nat,nat)))) ).

tff(func_def_1072,type,
    fun_max_weak: set(product_prod(set(product_prod(nat,nat)),set(product_prod(nat,nat)))) ).

tff(func_def_1073,type,
    fun_min_strict: set(product_prod(set(product_prod(nat,nat)),set(product_prod(nat,nat)))) ).

tff(func_def_1074,type,
    fun_min_weak: set(product_prod(set(product_prod(nat,nat)),set(product_prod(nat,nat)))) ).

tff(func_def_1075,type,
    fun_pair_leq: set(product_prod(product_prod(nat,nat),product_prod(nat,nat))) ).

tff(func_def_1076,type,
    fun_pair_less: set(product_prod(product_prod(nat,nat),product_prod(nat,nat))) ).

tff(func_def_1077,type,
    fun_rp_inv_image: 
      !>[X0: $tType,X1: $tType] : fun(product_prod(set(product_prod(X0,X0)),set(product_prod(X0,X0))),fun(fun(X1,X0),product_prod(set(product_prod(X1,X1)),set(product_prod(X1,X1))))) ).

tff(func_def_1078,type,
    gcd_Gcd: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_1079,type,
    bezw: ( nat * nat ) > product_prod(int,int) ).

tff(func_def_1080,type,
    bezw_rel: fun(product_prod(nat,nat),fun(product_prod(nat,nat),$o)) ).

tff(func_def_1081,type,
    gcd_gcd: 
      !>[X0: $tType] : fun(X0,fun(X0,X0)) ).

tff(func_def_1082,type,
    gcd_nat_rel: fun(product_prod(nat,nat),fun(product_prod(nat,nat),$o)) ).

tff(func_def_1083,type,
    semiring_gcd_Gcd_fin: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_1084,type,
    abs_abs: 
      !>[X0: $tType] : fun(X0,X0) ).

tff(func_def_1085,type,
    minus_minus: 
      !>[X0: $tType] : fun(X0,fun(X0,X0)) ).

tff(func_def_1086,type,
    one_one: 
      !>[X0: $tType] : X0 ).

tff(func_def_1087,type,
    plus_plus: 
      !>[X0: $tType] : fun(X0,fun(X0,X0)) ).

tff(func_def_1088,type,
    sgn_sgn: 
      !>[X0: $tType] : fun(X0,X0) ).

tff(func_def_1089,type,
    times_times: 
      !>[X0: $tType] : fun(X0,fun(X0,X0)) ).

tff(func_def_1090,type,
    uminus_uminus: 
      !>[X0: $tType] : fun(X0,X0) ).

tff(func_def_1091,type,
    zero_zero: 
      !>[X0: $tType] : X0 ).

tff(func_def_1092,type,
    groups7311177749621191930dd_sum: 
      !>[X0: $tType,X1: $tType] : fun(fun(X0,X1),fun(set(X0),X1)) ).

tff(func_def_1093,type,
    groups1027152243600224163dd_sum: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * set(X0) ) > X1 ) ).

tff(func_def_1094,type,
    groups7121269368397514597t_prod: 
      !>[X0: $tType,X1: $tType] : fun(fun(X0,X1),fun(set(X0),X1)) ).

tff(func_def_1095,type,
    groups1962203154675924110t_prod: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * set(X0) ) > X1 ) ).

tff(func_def_1096,type,
    groups4207007520872428315er_sum: 
      !>[X0: $tType,X1: $tType] : fun(fun(X0,X1),fun(X1,fun(list(X0),X1))) ).

tff(func_def_1097,type,
    groups8242544230860333062m_list: 
      !>[X0: $tType] : fun(list(X0),X0) ).

tff(func_def_1098,type,
    groups5270119922927024881d_list: 
      !>[X0: $tType] : ( list(X0) > X0 ) ).

tff(func_def_1099,type,
    the: 
      !>[X0: $tType] : ( fun(X0,$o) > X0 ) ).

tff(func_def_1100,type,
    undefined: 
      !>[X0: $tType] : X0 ).

tff(func_def_1101,type,
    complete_lattice_gfp: 
      !>[X0: $tType] : ( fun(X0,X0) > X0 ) ).

tff(func_def_1102,type,
    complete_lattice_lfp: 
      !>[X0: $tType] : ( fun(X0,X0) > X0 ) ).

tff(func_def_1103,type,
    infini527867602293511546merate: 
      !>[X0: $tType] : ( ( set(X0) * nat ) > X0 ) ).

tff(func_def_1104,type,
    abs_Integ: fun(product_prod(nat,nat),int) ).

tff(func_def_1105,type,
    rep_Integ: fun(int,product_prod(nat,nat)) ).

tff(func_def_1106,type,
    intrel: fun(product_prod(nat,nat),fun(product_prod(nat,nat),$o)) ).

tff(func_def_1107,type,
    nat2: int > nat ).

tff(func_def_1108,type,
    pcr_int: fun(product_prod(nat,nat),fun(int,$o)) ).

tff(func_def_1109,type,
    power_int: 
      !>[X0: $tType] : ( ( X0 * int ) > X0 ) ).

tff(func_def_1110,type,
    ring_1_Ints: 
      !>[X0: $tType] : set(X0) ).

tff(func_def_1111,type,
    ring_1_of_int: 
      !>[X0: $tType] : fun(int,X0) ).

tff(func_def_1112,type,
    inf_inf: 
      !>[X0: $tType] : fun(X0,fun(X0,X0)) ).

tff(func_def_1113,type,
    sup_sup: 
      !>[X0: $tType] : fun(X0,fun(X0,X0)) ).

tff(func_def_1114,type,
    lattices_Max: 
      !>[X0: $tType] : ( fun(X0,fun(X0,$o)) > fun(set(X0),X0) ) ).

tff(func_def_1115,type,
    lattices_Min: 
      !>[X0: $tType] : ( fun(X0,fun(X0,$o)) > fun(set(X0),X0) ) ).

tff(func_def_1116,type,
    lattic643756798349783984er_Max: 
      !>[X0: $tType] : fun(set(X0),X0) ).

tff(func_def_1117,type,
    lattic643756798350308766er_Min: 
      !>[X0: $tType] : fun(set(X0),X0) ).

tff(func_def_1118,type,
    lattices_ord_arg_min: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * fun(X0,$o) ) > X0 ) ).

tff(func_def_1119,type,
    lattic7623131987881927897min_on: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * set(X0) ) > X0 ) ).

tff(func_def_1120,type,
    lattic7752659483105999362nf_fin: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_1121,type,
    lattic1715443433743089157tice_F: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,X0)) * set(X0) ) > X0 ) ).

tff(func_def_1122,type,
    lattic5882676163264333800up_fin: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_1123,type,
    at_infinity: 
      !>[X0: $tType] : filter(X0) ).

tff(func_def_1124,type,
    bleast: 
      !>[X0: $tType] : ( ( set(X0) * fun(X0,$o) ) > X0 ) ).

tff(func_def_1125,type,
    abort_Bleast: 
      !>[X0: $tType] : ( ( set(X0) * fun(X0,$o) ) > X0 ) ).

tff(func_def_1126,type,
    append: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) ) > list(X0) ) ).

tff(func_def_1127,type,
    arg_min_list: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * list(X0) ) > X0 ) ).

tff(func_def_1128,type,
    arg_min_list_rel: 
      !>[X0: $tType,X1: $tType] : fun(product_prod(fun(X0,X1),list(X0)),fun(product_prod(fun(X0,X1),list(X0)),$o)) ).

tff(func_def_1129,type,
    bind: 
      !>[X0: $tType,X1: $tType] : ( ( list(X0) * fun(X0,list(X1)) ) > list(X1) ) ).

tff(func_def_1130,type,
    butlast: 
      !>[X0: $tType] : fun(list(X0),list(X0)) ).

tff(func_def_1131,type,
    concat: 
      !>[X0: $tType] : ( list(list(X0)) > list(X0) ) ).

tff(func_def_1132,type,
    coset: 
      !>[X0: $tType] : ( list(X0) > set(X0) ) ).

tff(func_def_1133,type,
    count_list: 
      !>[X0: $tType] : ( list(X0) > fun(X0,nat) ) ).

tff(func_def_1134,type,
    drop: 
      !>[X0: $tType] : ( ( nat * list(X0) ) > list(X0) ) ).

tff(func_def_1135,type,
    dropWhile: 
      !>[X0: $tType] : ( ( fun(X0,$o) * list(X0) ) > list(X0) ) ).

tff(func_def_1136,type,
    enumerate: 
      !>[X0: $tType] : ( ( nat * list(X0) ) > list(product_prod(nat,X0)) ) ).

tff(func_def_1137,type,
    extract: 
      !>[X0: $tType] : ( ( fun(X0,$o) * list(X0) ) > option(product_prod(list(X0),product_prod(X0,list(X0)))) ) ).

tff(func_def_1138,type,
    filter2: 
      !>[X0: $tType] : ( ( fun(X0,$o) * list(X0) ) > list(X0) ) ).

tff(func_def_1139,type,
    find: 
      !>[X0: $tType] : ( ( fun(X0,$o) * list(X0) ) > option(X0) ) ).

tff(func_def_1140,type,
    fold: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,fun(X1,X1)) * list(X0) ) > fun(X1,X1) ) ).

tff(func_def_1141,type,
    foldl: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,fun(X1,X0)) * X0 * list(X1) ) > X0 ) ).

tff(func_def_1142,type,
    foldr: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,fun(X1,X1)) * list(X0) ) > fun(X1,X1) ) ).

tff(func_def_1143,type,
    gen_length: 
      !>[X0: $tType] : ( nat > fun(list(X0),nat) ) ).

tff(func_def_1144,type,
    insert: 
      !>[X0: $tType] : ( ( X0 * list(X0) ) > list(X0) ) ).

tff(func_def_1145,type,
    last: 
      !>[X0: $tType] : ( list(X0) > X0 ) ).

tff(func_def_1146,type,
    lenlex: 
      !>[X0: $tType] : ( set(product_prod(X0,X0)) > set(product_prod(list(X0),list(X0))) ) ).

tff(func_def_1147,type,
    lex: 
      !>[X0: $tType] : ( set(product_prod(X0,X0)) > set(product_prod(list(X0),list(X0))) ) ).

tff(func_def_1148,type,
    lexn: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * nat ) > set(product_prod(list(X0),list(X0))) ) ).

tff(func_def_1149,type,
    lexord: 
      !>[X0: $tType] : ( set(product_prod(X0,X0)) > set(product_prod(list(X0),list(X0))) ) ).

tff(func_def_1150,type,
    insort_key: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,fun(X0,$o)) * fun(X1,X0) * X1 * list(X1) ) > list(X1) ) ).

tff(func_def_1151,type,
    sorted8670434370408473282of_set: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,fun(X0,$o)) * fun(X1,X0) * set(X1) ) > list(X1) ) ).

tff(func_def_1152,type,
    linord329482645794927042rt_key: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * X0 * list(X0) ) > list(X0) ) ).

tff(func_def_1153,type,
    linorder_insort_key: 
      !>[X0: $tType,X1: $tType] : ( fun(X0,X1) > fun(X0,fun(list(X0),list(X0))) ) ).

tff(func_def_1154,type,
    linorder_sort_key: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * list(X0) ) > list(X0) ) ).

tff(func_def_1155,type,
    linord4507533701916653071of_set: 
      !>[X0: $tType] : ( set(X0) > list(X0) ) ).

tff(func_def_1156,type,
    cons: 
      !>[X0: $tType] : fun(X0,fun(list(X0),list(X0))) ).

tff(func_def_1157,type,
    nil: 
      !>[X0: $tType] : list(X0) ).

tff(func_def_1158,type,
    case_list: 
      !>[X0: $tType,X1: $tType] : ( ( X0 * fun(X1,fun(list(X1),X0)) * list(X1) ) > X0 ) ).

tff(func_def_1159,type,
    hd: 
      !>[X0: $tType] : ( list(X0) > X0 ) ).

tff(func_def_1160,type,
    list_all2: 
      !>[X0: $tType,X1: $tType] : ( fun(X0,fun(X1,$o)) > fun(list(X0),fun(list(X1),$o)) ) ).

tff(func_def_1161,type,
    map: 
      !>[X0: $tType,X1: $tType] : ( fun(X0,X1) > fun(list(X0),list(X1)) ) ).

tff(func_def_1162,type,
    rec_list: 
      !>[X0: $tType,X1: $tType] : ( ( X0 * fun(X1,fun(list(X1),fun(X0,X0))) * list(X1) ) > X0 ) ).

tff(func_def_1163,type,
    set2: 
      !>[X0: $tType] : fun(list(X0),set(X0)) ).

tff(func_def_1164,type,
    size_list: 
      !>[X0: $tType] : ( ( fun(X0,nat) * list(X0) ) > nat ) ).

tff(func_def_1165,type,
    tl: 
      !>[X0: $tType] : ( list(X0) > list(X0) ) ).

tff(func_def_1166,type,
    list_update: 
      !>[X0: $tType] : ( ( list(X0) * nat * X0 ) > list(X0) ) ).

tff(func_def_1167,type,
    listrel: 
      !>[X0: $tType,X1: $tType] : ( set(product_prod(X0,X1)) > set(product_prod(list(X0),list(X1))) ) ).

tff(func_def_1168,type,
    listrel1: 
      !>[X0: $tType] : ( set(product_prod(X0,X0)) > set(product_prod(list(X0),list(X0))) ) ).

tff(func_def_1169,type,
    listrelp: 
      !>[X0: $tType,X1: $tType] : ( fun(X0,fun(X1,$o)) > fun(list(X0),fun(list(X1),$o)) ) ).

tff(func_def_1170,type,
    lists: 
      !>[X0: $tType] : ( set(X0) > set(list(X0)) ) ).

tff(func_def_1171,type,
    map_filter: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,option(X1)) * list(X0) ) > list(X1) ) ).

tff(func_def_1172,type,
    map_project: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,option(X1)) * set(X0) ) > set(X1) ) ).

tff(func_def_1173,type,
    measures: 
      !>[X0: $tType] : ( list(fun(X0,nat)) > set(product_prod(X0,X0)) ) ).

tff(func_def_1174,type,
    min_list: 
      !>[X0: $tType] : ( list(X0) > X0 ) ).

tff(func_def_1175,type,
    n_lists: 
      !>[X0: $tType] : ( ( nat * list(X0) ) > list(list(X0)) ) ).

tff(func_def_1176,type,
    nth: 
      !>[X0: $tType] : ( list(X0) > fun(nat,X0) ) ).

tff(func_def_1177,type,
    nths: 
      !>[X0: $tType] : ( ( list(X0) * set(nat) ) > list(X0) ) ).

tff(func_def_1178,type,
    partition: 
      !>[X0: $tType] : ( fun(X0,$o) > fun(list(X0),product_prod(list(X0),list(X0))) ) ).

tff(func_def_1179,type,
    product: 
      !>[X0: $tType,X1: $tType] : ( ( list(X0) * list(X1) ) > list(product_prod(X0,X1)) ) ).

tff(func_def_1180,type,
    product_lists: 
      !>[X0: $tType] : ( list(list(X0)) > list(list(X0)) ) ).

tff(func_def_1181,type,
    remdups: 
      !>[X0: $tType] : ( list(X0) > list(X0) ) ).

tff(func_def_1182,type,
    remdups_adj: 
      !>[X0: $tType] : ( list(X0) > list(X0) ) ).

tff(func_def_1183,type,
    remove1: 
      !>[X0: $tType] : ( ( X0 * list(X0) ) > list(X0) ) ).

tff(func_def_1184,type,
    removeAll: 
      !>[X0: $tType] : ( ( X0 * list(X0) ) > list(X0) ) ).

tff(func_def_1185,type,
    replicate: 
      !>[X0: $tType] : ( ( nat * X0 ) > list(X0) ) ).

tff(func_def_1186,type,
    rev: 
      !>[X0: $tType] : ( list(X0) > list(X0) ) ).

tff(func_def_1187,type,
    rotate: 
      !>[X0: $tType] : ( nat > fun(list(X0),list(X0)) ) ).

tff(func_def_1188,type,
    rotate1: 
      !>[X0: $tType] : ( list(X0) > list(X0) ) ).

tff(func_def_1189,type,
    set_Cons: 
      !>[X0: $tType] : ( ( set(X0) * set(list(X0)) ) > set(list(X0)) ) ).

tff(func_def_1190,type,
    shuffles: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) ) > set(list(X0)) ) ).

tff(func_def_1191,type,
    sorted_wrt_rel: 
      !>[X0: $tType] : fun(product_prod(fun(X0,fun(X0,$o)),list(X0)),fun(product_prod(fun(X0,fun(X0,$o)),list(X0)),$o)) ).

tff(func_def_1192,type,
    subseqs: 
      !>[X0: $tType] : ( list(X0) > list(list(X0)) ) ).

tff(func_def_1193,type,
    take: 
      !>[X0: $tType] : ( ( nat * list(X0) ) > list(X0) ) ).

tff(func_def_1194,type,
    takeWhile: 
      !>[X0: $tType] : ( ( fun(X0,$o) * list(X0) ) > list(X0) ) ).

tff(func_def_1195,type,
    transpose: 
      !>[X0: $tType] : ( list(list(X0)) > list(list(X0)) ) ).

tff(func_def_1196,type,
    union: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) ) > list(X0) ) ).

tff(func_def_1197,type,
    upt: ( nat * nat ) > list(nat) ).

tff(func_def_1198,type,
    upto: ( int * int ) > list(int) ).

tff(func_def_1199,type,
    upto_rel: fun(product_prod(int,int),fun(product_prod(int,int),$o)) ).

tff(func_def_1200,type,
    zip: 
      !>[X0: $tType,X1: $tType] : ( ( list(X0) * list(X1) ) > list(product_prod(X0,X1)) ) ).

tff(func_def_1201,type,
    dom: 
      !>[X0: $tType,X1: $tType] : ( fun(X0,option(X1)) > set(X0) ) ).

tff(func_def_1202,type,
    graph: 
      !>[X0: $tType,X1: $tType] : ( fun(X0,option(X1)) > set(product_prod(X0,X1)) ) ).

tff(func_def_1203,type,
    map_add: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,option(X1)) * fun(X0,option(X1)) ) > fun(X0,option(X1)) ) ).

tff(func_def_1204,type,
    map_comp: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( fun(X0,option(X1)) * fun(X2,option(X0)) * X2 ) > option(X1) ) ).

tff(func_def_1205,type,
    map_of: 
      !>[X0: $tType,X1: $tType] : ( list(product_prod(X0,X1)) > fun(X0,option(X1)) ) ).

tff(func_def_1206,type,
    map_upds: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,option(X1)) * list(X0) * list(X1) ) > fun(X0,option(X1)) ) ).

tff(func_def_1207,type,
    ran: 
      !>[X0: $tType,X1: $tType] : ( fun(X0,option(X1)) > set(X1) ) ).

tff(func_def_1208,type,
    restrict_map: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,option(X1)) * set(X0) ) > fun(X0,option(X1)) ) ).

tff(func_def_1209,type,
    suc: fun(nat,nat) ).

tff(func_def_1210,type,
    compow: 
      !>[X0: $tType] : fun(nat,fun(X0,X0)) ).

tff(func_def_1211,type,
    funpow: 
      !>[X0: $tType] : fun(nat,fun(fun(X0,X0),fun(X0,X0))) ).

tff(func_def_1212,type,
    case_nat: 
      !>[X0: $tType] : ( ( X0 * fun(nat,X0) * nat ) > X0 ) ).

tff(func_def_1213,type,
    pred: nat > nat ).

tff(func_def_1214,type,
    rec_nat: 
      !>[X0: $tType] : ( ( X0 * fun(nat,fun(X0,X0)) ) > fun(nat,X0) ) ).

tff(func_def_1215,type,
    rec_set_nat: 
      !>[X0: $tType] : ( ( X0 * fun(nat,fun(X0,X0)) * nat ) > fun(X0,$o) ) ).

tff(func_def_1216,type,
    semiring_1_Nats: 
      !>[X0: $tType] : set(X0) ).

tff(func_def_1217,type,
    semiring_1_of_nat: 
      !>[X0: $tType] : fun(nat,X0) ).

tff(func_def_1218,type,
    semiri8178284476397505188at_aux: 
      !>[X0: $tType] : ( ( fun(X0,X0) * nat * X0 ) > X0 ) ).

tff(func_def_1219,type,
    size_size: 
      !>[X0: $tType] : fun(X0,nat) ).

tff(func_def_1220,type,
    nat_list_decode: fun(nat,list(nat)) ).

tff(func_def_1221,type,
    nat_list_decode_rel: fun(nat,fun(nat,$o)) ).

tff(func_def_1222,type,
    nat_list_encode: fun(list(nat),nat) ).

tff(func_def_1223,type,
    nat_list_encode_rel: fun(list(nat),fun(list(nat),$o)) ).

tff(func_def_1224,type,
    nat_prod_decode: fun(nat,product_prod(nat,nat)) ).

tff(func_def_1225,type,
    nat_prod_decode_aux: nat > fun(nat,product_prod(nat,nat)) ).

tff(func_def_1226,type,
    nat_pr5047031295181774490ux_rel: fun(product_prod(nat,nat),fun(product_prod(nat,nat),$o)) ).

tff(func_def_1227,type,
    nat_prod_encode: fun(product_prod(nat,nat),nat) ).

tff(func_def_1228,type,
    nat_set_decode: nat > set(nat) ).

tff(func_def_1229,type,
    nat_set_encode: fun(set(nat),nat) ).

tff(func_def_1230,type,
    nat_triangle: nat > nat ).

tff(func_def_1231,type,
    root: nat > fun(real,real) ).

tff(func_def_1232,type,
    sqrt: fun(real,real) ).

tff(func_def_1233,type,
    bitM: num > num ).

tff(func_def_1234,type,
    inc: num > num ).

tff(func_def_1235,type,
    neg_numeral_dbl: 
      !>[X0: $tType] : ( X0 > X0 ) ).

tff(func_def_1236,type,
    neg_numeral_dbl_dec: 
      !>[X0: $tType] : ( X0 > X0 ) ).

tff(func_def_1237,type,
    neg_numeral_dbl_inc: 
      !>[X0: $tType] : ( X0 > X0 ) ).

tff(func_def_1238,type,
    neg_numeral_sub: 
      !>[X0: $tType] : ( ( num * num ) > X0 ) ).

tff(func_def_1239,type,
    bit0: fun(num,num) ).

tff(func_def_1240,type,
    bit1: fun(num,num) ).

tff(func_def_1241,type,
    one2: num ).

tff(func_def_1242,type,
    case_num: 
      !>[X0: $tType] : ( ( X0 * fun(num,X0) * fun(num,X0) * num ) > X0 ) ).

tff(func_def_1243,type,
    size_num: num > nat ).

tff(func_def_1244,type,
    num_of_nat: nat > num ).

tff(func_def_1245,type,
    numeral_numeral: 
      !>[X0: $tType] : fun(num,X0) ).

tff(func_def_1246,type,
    pow: ( num * num ) > num ).

tff(func_def_1247,type,
    pred_numeral: num > nat ).

tff(func_def_1248,type,
    sqr: num > num ).

tff(func_def_1249,type,
    none: 
      !>[X0: $tType] : option(X0) ).

tff(func_def_1250,type,
    some: 
      !>[X0: $tType] : fun(X0,option(X0)) ).

tff(func_def_1251,type,
    case_option: 
      !>[X0: $tType,X1: $tType] : ( ( X0 * fun(X1,X0) * option(X1) ) > X0 ) ).

tff(func_def_1252,type,
    map_option: 
      !>[X0: $tType,X1: $tType] : ( fun(X0,X1) > fun(option(X0),option(X1)) ) ).

tff(func_def_1253,type,
    rec_option: 
      !>[X0: $tType,X1: $tType] : ( ( X0 * fun(X1,X0) ) > fun(option(X1),X0) ) ).

tff(func_def_1254,type,
    size_option: 
      !>[X0: $tType] : ( fun(X0,nat) > fun(option(X0),nat) ) ).

tff(func_def_1255,type,
    the2: 
      !>[X0: $tType] : fun(option(X0),X0) ).

tff(func_def_1256,type,
    these: 
      !>[X0: $tType] : ( set(option(X0)) > set(X0) ) ).

tff(func_def_1257,type,
    order_532582986084564980_cclfp: 
      !>[X0: $tType] : ( fun(X0,X0) > X0 ) ).

tff(func_def_1258,type,
    order_Above: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * set(X0) ) > set(X0) ) ).

tff(func_def_1259,type,
    order_AboveS: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * set(X0) ) > set(X0) ) ).

tff(func_def_1260,type,
    order_Under: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * set(X0) ) > set(X0) ) ).

tff(func_def_1261,type,
    order_UnderS: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * set(X0) ) > set(X0) ) ).

tff(func_def_1262,type,
    order_aboveS: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * X0 ) > set(X0) ) ).

tff(func_def_1263,type,
    order_relation_of: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,$o)) * set(X0) ) > set(product_prod(X0,X0)) ) ).

tff(func_def_1264,type,
    order_under: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * X0 ) > set(X0) ) ).

tff(func_def_1265,type,
    order_underS: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * X0 ) > set(X0) ) ).

tff(func_def_1266,type,
    bot_bot: 
      !>[X0: $tType] : X0 ).

tff(func_def_1267,type,
    least: 
      !>[X0: $tType] : ( fun(X0,fun(X0,$o)) > fun(fun(X0,$o),X0) ) ).

tff(func_def_1268,type,
    max: 
      !>[X0: $tType] : ( fun(X0,fun(X0,$o)) > fun(X0,fun(X0,X0)) ) ).

tff(func_def_1269,type,
    min: 
      !>[X0: $tType] : ( fun(X0,fun(X0,$o)) > fun(X0,fun(X0,X0)) ) ).

tff(func_def_1270,type,
    ord_Least: 
      !>[X0: $tType] : ( fun(X0,$o) > X0 ) ).

tff(func_def_1271,type,
    ord_less: 
      !>[X0: $tType] : fun(X0,fun(X0,$o)) ).

tff(func_def_1272,type,
    ord_less_eq: 
      !>[X0: $tType] : fun(X0,fun(X0,$o)) ).

tff(func_def_1273,type,
    ord_max: 
      !>[X0: $tType] : fun(X0,fun(X0,X0)) ).

tff(func_def_1274,type,
    ord_min: 
      !>[X0: $tType] : fun(X0,fun(X0,X0)) ).

tff(func_def_1275,type,
    order_Greatest: 
      !>[X0: $tType] : ( fun(X0,$o) > X0 ) ).

tff(func_def_1276,type,
    order_mono: 
      !>[X0: $tType,X1: $tType] : fun(fun(X0,X1),$o) ).

tff(func_def_1277,type,
    top_top: 
      !>[X0: $tType] : X0 ).

tff(func_def_1278,type,
    partial_flat_lub: 
      !>[X0: $tType] : ( ( X0 * set(X0) ) > X0 ) ).

tff(func_def_1279,type,
    power_power: 
      !>[X0: $tType] : fun(X0,fun(nat,X0)) ).

tff(func_def_1280,type,
    product_Pair: 
      !>[X0: $tType,X1: $tType] : fun(X0,fun(X1,product_prod(X0,X1))) ).

tff(func_def_1281,type,
    product_Sigma: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,set(X1)) ) > set(product_prod(X0,X1)) ) ).

tff(func_def_1282,type,
    product_apfst: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( fun(X0,X1) > fun(product_prod(X0,X2),product_prod(X1,X2)) ) ).

tff(func_def_1283,type,
    product_apsnd: 
      !>[X0: $tType,X1: $tType,X2: $tType] : fun(fun(X0,X1),fun(product_prod(X2,X0),product_prod(X2,X1))) ).

tff(func_def_1284,type,
    product_map_prod: 
      !>[X0: $tType,X1: $tType,X2: $tType,X3: $tType] : ( ( fun(X0,X1) * fun(X2,X3) ) > fun(product_prod(X0,X2),product_prod(X1,X3)) ) ).

tff(func_def_1285,type,
    product_rec_prod: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( fun(X0,fun(X1,X2)) * product_prod(X0,X1) ) > X2 ) ).

tff(func_def_1286,type,
    product_rec_set_prod: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( fun(X0,fun(X1,X2)) * product_prod(X0,X1) ) > fun(X2,$o) ) ).

tff(func_def_1287,type,
    product_case_prod: 
      !>[X0: $tType,X1: $tType,X2: $tType] : fun(fun(X0,fun(X1,X2)),fun(product_prod(X0,X1),X2)) ).

tff(func_def_1288,type,
    product_fst: 
      !>[X0: $tType,X1: $tType] : fun(product_prod(X0,X1),X0) ).

tff(func_def_1289,type,
    product_snd: 
      !>[X0: $tType,X1: $tType] : fun(product_prod(X0,X1),X1) ).

tff(func_def_1290,type,
    product_swap: 
      !>[X0: $tType,X1: $tType] : fun(product_prod(X0,X1),product_prod(X1,X0)) ).

tff(func_def_1291,type,
    product_product: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * set(X1) ) > set(product_prod(X0,X1)) ) ).

tff(func_def_1292,type,
    product_scomp: 
      !>[X0: $tType,X1: $tType,X2: $tType,X3: $tType] : ( ( fun(X0,product_prod(X1,X2)) * fun(X1,fun(X2,X3)) ) > fun(X0,X3) ) ).

tff(func_def_1293,type,
    product_Abs_unit: fun($o,product_unit) ).

tff(func_def_1294,type,
    product_Rep_unit: fun(product_unit,$o) ).

tff(func_def_1295,type,
    type2: 
      !>[X0: $tType] : itself(X0) ).

tff(func_def_1296,type,
    abs_Rat: fun(product_prod(int,int),rat) ).

tff(func_def_1297,type,
    fract: fun(int,fun(int,rat)) ).

tff(func_def_1298,type,
    frct: product_prod(int,int) > rat ).

tff(func_def_1299,type,
    rep_Rat: fun(rat,product_prod(int,int)) ).

tff(func_def_1300,type,
    field_char_0_of_rat: 
      !>[X0: $tType] : ( rat > X0 ) ).

tff(func_def_1301,type,
    normalize: product_prod(int,int) > product_prod(int,int) ).

tff(func_def_1302,type,
    of_int: int > rat ).

tff(func_def_1303,type,
    pcr_rat: fun(product_prod(int,int),fun(rat,$o)) ).

tff(func_def_1304,type,
    quotient_of: rat > product_prod(int,int) ).

tff(func_def_1305,type,
    ratrel: fun(product_prod(int,int),fun(product_prod(int,int),$o)) ).

tff(func_def_1306,type,
    real2: fun(nat,rat) > real ).

tff(func_def_1307,type,
    pcr_real: fun(fun(nat,rat),fun(real,$o)) ).

tff(func_def_1308,type,
    positive: fun(real,$o) ).

tff(func_def_1309,type,
    realrel: fun(fun(nat,rat),fun(fun(nat,rat),$o)) ).

tff(func_def_1310,type,
    rep_real: fun(real,fun(nat,rat)) ).

tff(func_def_1311,type,
    real_Vector_Reals: 
      !>[X0: $tType] : set(X0) ).

tff(func_def_1312,type,
    real_Vector_dim: 
      !>[X0: $tType] : ( set(X0) > nat ) ).

tff(func_def_1313,type,
    real_V557655796197034286t_dist: 
      !>[X0: $tType] : ( ( X0 * X0 ) > real ) ).

tff(func_def_1314,type,
    real_V7770717601297561774m_norm: 
      !>[X0: $tType] : ( X0 > real ) ).

tff(func_def_1315,type,
    real_Vector_of_real: 
      !>[X0: $tType] : ( real > X0 ) ).

tff(func_def_1316,type,
    real_V7696804695334737415tation: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > fun(X0,real) ) ).

tff(func_def_1317,type,
    real_V8093663219630862766scaleR: 
      !>[X0: $tType] : ( ( real * X0 ) > X0 ) ).

tff(func_def_1318,type,
    real_Vector_span: 
      !>[X0: $tType] : ( set(X0) > set(X0) ) ).

tff(func_def_1319,type,
    domain: 
      !>[X0: $tType,X1: $tType] : fun(set(product_prod(X0,X1)),set(X0)) ).

tff(func_def_1320,type,
    field2: 
      !>[X0: $tType] : fun(set(product_prod(X0,X0)),set(X0)) ).

tff(func_def_1321,type,
    id2: 
      !>[X0: $tType] : set(product_prod(X0,X0)) ).

tff(func_def_1322,type,
    id_on: 
      !>[X0: $tType] : ( set(X0) > set(product_prod(X0,X0)) ) ).

tff(func_def_1323,type,
    image: 
      !>[X0: $tType,X1: $tType] : ( ( set(product_prod(X0,X1)) * set(X0) ) > set(X1) ) ).

tff(func_def_1324,type,
    range: 
      !>[X0: $tType,X1: $tType] : fun(set(product_prod(X0,X1)),set(X1)) ).

tff(func_def_1325,type,
    rangep: 
      !>[X0: $tType,X1: $tType] : ( fun(X0,fun(X1,$o)) > fun(X1,$o) ) ).

tff(func_def_1326,type,
    converse: 
      !>[X0: $tType,X1: $tType] : ( set(product_prod(X0,X1)) > set(product_prod(X1,X0)) ) ).

tff(func_def_1327,type,
    conversep: 
      !>[X0: $tType,X1: $tType] : ( fun(X0,fun(X1,$o)) > fun(X1,fun(X0,$o)) ) ).

tff(func_def_1328,type,
    inv_image: 
      !>[X0: $tType,X1: $tType] : ( ( set(product_prod(X0,X0)) * fun(X1,X0) ) > set(product_prod(X1,X1)) ) ).

tff(func_def_1329,type,
    relcomp: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( set(product_prod(X0,X1)) * set(product_prod(X1,X2)) ) > set(product_prod(X0,X2)) ) ).

tff(func_def_1330,type,
    divide_divide: 
      !>[X0: $tType] : ( ( X0 * X0 ) > X0 ) ).

tff(func_def_1331,type,
    modulo_modulo: 
      !>[X0: $tType] : ( ( X0 * X0 ) > X0 ) ).

tff(func_def_1332,type,
    zero_neq_one_of_bool: 
      !>[X0: $tType] : fun($o,X0) ).

tff(func_def_1333,type,
    suminf: 
      !>[X0: $tType] : ( fun(nat,X0) > X0 ) ).

tff(func_def_1334,type,
    ball: 
      !>[X0: $tType] : ( set(X0) > fun(fun(X0,$o),$o) ) ).

tff(func_def_1335,type,
    collect: 
      !>[X0: $tType] : fun(fun(X0,$o),set(X0)) ).

tff(func_def_1336,type,
    pow2: 
      !>[X0: $tType] : ( set(X0) > set(set(X0)) ) ).

tff(func_def_1337,type,
    disjnt: 
      !>[X0: $tType] : fun(set(X0),fun(set(X0),$o)) ).

tff(func_def_1338,type,
    filter3: 
      !>[X0: $tType] : ( ( fun(X0,$o) * set(X0) ) > set(X0) ) ).

tff(func_def_1339,type,
    image2: 
      !>[X0: $tType,X1: $tType] : ( fun(X0,X1) > fun(set(X0),set(X1)) ) ).

tff(func_def_1340,type,
    insert2: 
      !>[X0: $tType] : fun(X0,fun(set(X0),set(X0))) ).

tff(func_def_1341,type,
    remove: 
      !>[X0: $tType] : fun(X0,fun(set(X0),set(X0))) ).

tff(func_def_1342,type,
    the_elem: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_1343,type,
    vimage: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * set(X1) ) > set(X0) ) ).

tff(func_def_1344,type,
    set_fo6178422350223883121st_nat: 
      !>[X0: $tType] : ( ( fun(nat,fun(X0,X0)) * nat * nat * X0 ) > X0 ) ).

tff(func_def_1345,type,
    set_fo1817059534552279752at_rel: 
      !>[X0: $tType] : fun(product_prod(fun(nat,fun(X0,X0)),product_prod(nat,product_prod(nat,X0))),fun(product_prod(fun(nat,fun(X0,X0)),product_prod(nat,product_prod(nat,X0))),$o)) ).

tff(func_def_1346,type,
    set_ord_atLeast: 
      !>[X0: $tType] : ( X0 > set(X0) ) ).

tff(func_def_1347,type,
    set_or1337092689740270186AtMost: 
      !>[X0: $tType] : ( ( X0 * X0 ) > set(X0) ) ).

tff(func_def_1348,type,
    set_or7035219750837199246ssThan: 
      !>[X0: $tType] : ( ( X0 * X0 ) > set(X0) ) ).

tff(func_def_1349,type,
    set_ord_atMost: 
      !>[X0: $tType] : fun(X0,set(X0)) ).

tff(func_def_1350,type,
    set_ord_greaterThan: 
      !>[X0: $tType] : fun(X0,set(X0)) ).

tff(func_def_1351,type,
    set_or3652927894154168847AtMost: 
      !>[X0: $tType] : ( ( X0 * X0 ) > set(X0) ) ).

tff(func_def_1352,type,
    set_or5935395276787703475ssThan: 
      !>[X0: $tType] : ( ( X0 * X0 ) > set(X0) ) ).

tff(func_def_1353,type,
    set_ord_lessThan: 
      !>[X0: $tType] : fun(X0,set(X0)) ).

tff(func_def_1354,type,
    abort: 
      !>[X0: $tType] : ( ( literal * fun(product_unit,X0) ) > X0 ) ).

tff(func_def_1355,type,
    literal2: ( $o * $o * $o * $o * $o * $o * $o * literal ) > literal ).

tff(func_def_1356,type,
    ascii_of: char > char ).

tff(func_def_1357,type,
    char2: ( $o * $o * $o * $o * $o * $o * $o * $o ) > char ).

tff(func_def_1358,type,
    comm_s6883823935334413003f_char: 
      !>[X0: $tType] : fun(char,X0) ).

tff(func_def_1359,type,
    integer_of_char: char > code_integer ).

tff(func_def_1360,type,
    unique5772411509450598832har_of: 
      !>[X0: $tType] : fun(X0,char) ).

tff(func_def_1361,type,
    sum_Plus: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * set(X1) ) > set(sum_sum(X0,X1)) ) ).

tff(func_def_1362,type,
    topolo174197925503356063within: 
      !>[X0: $tType] : ( ( X0 * set(X0) ) > filter(X0) ) ).

tff(func_def_1363,type,
    topolo7230453075368039082e_nhds: 
      !>[X0: $tType] : ( X0 > filter(X0) ) ).

tff(func_def_1364,type,
    topolo7806501430040627800ormity: 
      !>[X0: $tType] : filter(product_prod(X0,X0)) ).

tff(func_def_1365,type,
    arccos: fun(real,real) ).

tff(func_def_1366,type,
    arcosh: 
      !>[X0: $tType] : fun(X0,X0) ).

tff(func_def_1367,type,
    arcsin: fun(real,real) ).

tff(func_def_1368,type,
    arctan: fun(real,real) ).

tff(func_def_1369,type,
    arsinh: 
      !>[X0: $tType] : fun(X0,X0) ).

tff(func_def_1370,type,
    artanh: 
      !>[X0: $tType] : fun(X0,X0) ).

tff(func_def_1371,type,
    cos: 
      !>[X0: $tType] : ( X0 > X0 ) ).

tff(func_def_1372,type,
    cos_coeff: nat > real ).

tff(func_def_1373,type,
    cosh: 
      !>[X0: $tType] : ( X0 > X0 ) ).

tff(func_def_1374,type,
    cot: 
      !>[X0: $tType] : fun(X0,X0) ).

tff(func_def_1375,type,
    diffs: 
      !>[X0: $tType] : ( fun(nat,X0) > fun(nat,X0) ) ).

tff(func_def_1376,type,
    exp: 
      !>[X0: $tType] : ( X0 > X0 ) ).

tff(func_def_1377,type,
    ln_ln: 
      !>[X0: $tType] : ( X0 > X0 ) ).

tff(func_def_1378,type,
    log: ( real * real ) > real ).

tff(func_def_1379,type,
    pi: real ).

tff(func_def_1380,type,
    powr: 
      !>[X0: $tType] : ( ( X0 * X0 ) > X0 ) ).

tff(func_def_1381,type,
    powr_real: ( real * real ) > real ).

tff(func_def_1382,type,
    sin: 
      !>[X0: $tType] : ( X0 > X0 ) ).

tff(func_def_1383,type,
    sin_coeff: nat > real ).

tff(func_def_1384,type,
    sinh: 
      !>[X0: $tType] : ( X0 > X0 ) ).

tff(func_def_1385,type,
    tan: 
      !>[X0: $tType] : fun(X0,X0) ).

tff(func_def_1386,type,
    tanh: 
      !>[X0: $tType] : ( X0 > X0 ) ).

tff(func_def_1387,type,
    transitive_ntrancl: 
      !>[X0: $tType] : ( ( nat * set(product_prod(X0,X0)) ) > set(product_prod(X0,X0)) ) ).

tff(func_def_1388,type,
    transitive_rtrancl: 
      !>[X0: $tType] : ( set(product_prod(X0,X0)) > set(product_prod(X0,X0)) ) ).

tff(func_def_1389,type,
    transitive_trancl: 
      !>[X0: $tType] : ( set(product_prod(X0,X0)) > set(product_prod(X0,X0)) ) ).

tff(func_def_1390,type,
    vEBT_Leaf: ( $o * $o ) > vEBT_VEBT ).

tff(func_def_1391,type,
    vEBT_Node: ( option(product_prod(nat,nat)) * nat * list(vEBT_VEBT) * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_1392,type,
    vEBT_rec_VEBT: 
      !>[X0: $tType] : ( ( fun(option(product_prod(nat,nat)),fun(nat,fun(list(product_prod(vEBT_VEBT,X0)),fun(vEBT_VEBT,fun(X0,X0))))) * fun($o,fun($o,X0)) * vEBT_VEBT ) > X0 ) ).

tff(func_def_1393,type,
    vEBT_size_VEBT: fun(vEBT_VEBT,nat) ).

tff(func_def_1394,type,
    vEBT_V8194947554948674370ptions: vEBT_VEBT > fun(nat,$o) ).

tff(func_def_1395,type,
    vEBT_VEBT_elim_dead: ( vEBT_VEBT * extended_enat ) > vEBT_VEBT ).

tff(func_def_1396,type,
    vEBT_V312737461966249ad_rel: fun(product_prod(vEBT_VEBT,extended_enat),fun(product_prod(vEBT_VEBT,extended_enat),$o)) ).

tff(func_def_1397,type,
    vEBT_VEBT_high: ( nat * nat ) > nat ).

tff(func_def_1398,type,
    vEBT_VEBT_low: ( nat * nat ) > nat ).

tff(func_def_1399,type,
    vEBT_V4351362008482014158ma_rel: fun(product_prod(vEBT_VEBT,nat),fun(product_prod(vEBT_VEBT,nat),$o)) ).

tff(func_def_1400,type,
    vEBT_V5765760719290551771er_rel: fun(product_prod(vEBT_VEBT,nat),fun(product_prod(vEBT_VEBT,nat),$o)) ).

tff(func_def_1401,type,
    vEBT_VEBT_valid_rel: fun(product_prod(vEBT_VEBT,nat),fun(product_prod(vEBT_VEBT,nat),$o)) ).

tff(func_def_1402,type,
    vEBT_set_vebt: vEBT_VEBT > set(nat) ).

tff(func_def_1403,type,
    vEBT_vebt_buildup: nat > vEBT_VEBT ).

tff(func_def_1404,type,
    vEBT_v4011308405150292612up_rel: fun(nat,fun(nat,$o)) ).

tff(func_def_1405,type,
    vEBT_vebt_delete: ( vEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_1406,type,
    vEBT_vebt_delete_rel: fun(product_prod(vEBT_VEBT,nat),fun(product_prod(vEBT_VEBT,nat),$o)) ).

tff(func_def_1407,type,
    vEBT_VEBT_insert: ( vEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_1408,type,
    vEBT_VEBT_insert_rel: fun(product_prod(vEBT_VEBT,nat),fun(product_prod(vEBT_VEBT,nat),$o)) ).

tff(func_def_1409,type,
    vEBT_vebt_insert: ( vEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_1410,type,
    vEBT_vebt_insert_rel: fun(product_prod(vEBT_VEBT,nat),fun(product_prod(vEBT_VEBT,nat),$o)) ).

tff(func_def_1411,type,
    vEBT_VEBT_bit_concat: ( nat * nat * nat ) > nat ).

tff(func_def_1412,type,
    vEBT_V6963167321098673237ll_rel: fun(vEBT_VEBT,fun(vEBT_VEBT,$o)) ).

tff(func_def_1413,type,
    vEBT_VEBT_set_vebt: vEBT_VEBT > set(nat) ).

tff(func_def_1414,type,
    vEBT_vebt_member: vEBT_VEBT > fun(nat,$o) ).

tff(func_def_1415,type,
    vEBT_vebt_member_rel: fun(product_prod(vEBT_VEBT,nat),fun(product_prod(vEBT_VEBT,nat),$o)) ).

tff(func_def_1416,type,
    vEBT_VEBT_add: fun(option(nat),fun(option(nat),option(nat))) ).

tff(func_def_1417,type,
    vEBT_VEBT_mul: fun(option(nat),fun(option(nat),option(nat))) ).

tff(func_def_1418,type,
    vEBT_V2048590022279873568_shift: 
      !>[X0: $tType] : ( fun(X0,fun(X0,X0)) > fun(option(X0),fun(option(X0),option(X0))) ) ).

tff(func_def_1419,type,
    vEBT_VEBT_power: fun(option(nat),fun(option(nat),option(nat))) ).

tff(func_def_1420,type,
    vEBT_vebt_maxt: vEBT_VEBT > option(nat) ).

tff(func_def_1421,type,
    vEBT_vebt_maxt_rel: fun(vEBT_VEBT,fun(vEBT_VEBT,$o)) ).

tff(func_def_1422,type,
    vEBT_vebt_mint: vEBT_VEBT > option(nat) ).

tff(func_def_1423,type,
    vEBT_vebt_mint_rel: fun(vEBT_VEBT,fun(vEBT_VEBT,$o)) ).

tff(func_def_1424,type,
    vEBT_vebt_pred: ( vEBT_VEBT * nat ) > option(nat) ).

tff(func_def_1425,type,
    vEBT_vebt_pred_rel: fun(product_prod(vEBT_VEBT,nat),fun(product_prod(vEBT_VEBT,nat),$o)) ).

tff(func_def_1426,type,
    vEBT_vebt_succ: ( vEBT_VEBT * nat ) > option(nat) ).

tff(func_def_1427,type,
    vEBT_vebt_succ_rel: fun(product_prod(vEBT_VEBT,nat),fun(product_prod(vEBT_VEBT,nat),$o)) ).

tff(func_def_1428,type,
    finite_psubset: 
      !>[X0: $tType] : set(product_prod(set(X0),set(X0))) ).

tff(func_def_1429,type,
    less_than: set(product_prod(nat,nat)) ).

tff(func_def_1430,type,
    lex_prod: 
      !>[X0: $tType,X1: $tType] : ( ( set(product_prod(X0,X0)) * set(product_prod(X1,X1)) ) > set(product_prod(product_prod(X0,X1),product_prod(X0,X1))) ) ).

tff(func_def_1431,type,
    max_ext: 
      !>[X0: $tType] : ( set(product_prod(X0,X0)) > set(product_prod(set(X0),set(X0))) ) ).

tff(func_def_1432,type,
    max_extp: 
      !>[X0: $tType] : ( fun(X0,fun(X0,$o)) > fun(set(X0),fun(set(X0),$o)) ) ).

tff(func_def_1433,type,
    measure: 
      !>[X0: $tType] : ( fun(X0,nat) > set(product_prod(X0,X0)) ) ).

tff(func_def_1434,type,
    min_ext: 
      !>[X0: $tType] : ( set(product_prod(X0,X0)) > set(product_prod(set(X0),set(X0))) ) ).

tff(func_def_1435,type,
    mlex_prod: 
      !>[X0: $tType] : ( ( fun(X0,nat) * set(product_prod(X0,X0)) ) > set(product_prod(X0,X0)) ) ).

tff(func_def_1436,type,
    pred_nat: set(product_prod(nat,nat)) ).

tff(func_def_1437,type,
    same_fst: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,$o) * fun(X0,set(product_prod(X1,X1))) ) > set(product_prod(product_prod(X0,X1),product_prod(X0,X1))) ) ).

tff(func_def_1438,type,
    chains: 
      !>[X0: $tType] : ( set(product_prod(X0,X0)) > set(set(X0)) ) ).

tff(func_def_1439,type,
    chains2: 
      !>[X0: $tType] : ( set(set(X0)) > set(set(set(X0))) ) ).

tff(func_def_1440,type,
    init_seg_of: 
      !>[X0: $tType] : set(product_prod(set(product_prod(X0,X0)),set(product_prod(X0,X0)))) ).

tff(func_def_1441,type,
    pred_chain: 
      !>[X0: $tType] : ( ( set(X0) * fun(X0,fun(X0,$o)) ) > fun(set(X0),$o) ) ).

tff(func_def_1442,type,
    aa: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * X0 ) > X1 ) ).

tff(func_def_1443,type,
    fAll: 
      !>[X0: $tType] : fun(fun(X0,$o),$o) ).

tff(func_def_1444,type,
    fNot: fun($o,$o) ).

tff(func_def_1445,type,
    fequal: 
      !>[X0: $tType] : fun(X0,fun(X0,$o)) ).

tff(func_def_1446,type,
    deg: nat ).

tff(func_def_1447,type,
    info: option(product_prod(nat,nat)) ).

tff(func_def_1448,type,
    m: nat ).

tff(func_def_1449,type,
    ma: nat ).

tff(func_def_1450,type,
    mi: nat ).

tff(func_def_1451,type,
    na: nat ).

tff(func_def_1452,type,
    sa: vEBT_VEBT ).

tff(func_def_1453,type,
    summary: vEBT_VEBT ).

tff(func_def_1454,type,
    summary2: vEBT_VEBT ).

tff(func_def_1455,type,
    treeList: list(vEBT_VEBT) ).

tff(func_def_1456,type,
    treeList2: list(vEBT_VEBT) ).

tff(func_def_1457,type,
    l0: nat ).

tff(func_def_1458,type,
    h1: nat ).

tff(func_def_1459,type,
    minlow2: option(nat) ).

tff(func_def_1460,type,
    pr3: option(nat) ).

tff(func_def_1461,type,
    l4: nat ).

tff(func_def_1462,type,
    h5: nat ).

tff(func_def_1463,type,
    minlow6: option(nat) ).

tff(func_def_1464,type,
    pr7: option(nat) ).

tff(func_def_1465,type,
    l8: nat ).

tff(func_def_1466,type,
    h9: nat ).

tff(func_def_1467,type,
    maxlow10: option(nat) ).

tff(func_def_1468,type,
    sc11: option(nat) ).

tff(func_def_1469,type,
    newnode12: vEBT_VEBT ).

tff(func_def_1470,type,
    newlist13: list(vEBT_VEBT) ).

tff(func_def_1471,type,
    sn14: vEBT_VEBT ).

tff(func_def_1472,type,
    maxs15: option(nat) ).

tff(func_def_1473,type,
    maxs16: option(nat) ).

tff(func_def_1474,type,
    sn17: vEBT_VEBT ).

tff(func_def_1475,type,
    maxs18: option(nat) ).

tff(func_def_1476,type,
    xn19: nat ).

tff(func_def_1477,type,
    minn20: nat ).

tff(func_def_1478,type,
    h21: nat ).

tff(func_def_1479,type,
    newnode22: vEBT_VEBT ).

tff(func_def_1480,type,
    newlist23: list(vEBT_VEBT) ).

tff(func_def_1481,type,
    sn24: vEBT_VEBT ).

tff(func_def_1482,type,
    maxs25: option(nat) ).

tff(func_def_1483,type,
    newnode26: vEBT_VEBT ).

tff(func_def_1484,type,
    newlist27: list(vEBT_VEBT) ).

tff(func_def_1485,type,
    sn28: vEBT_VEBT ).

tff(func_def_1486,type,
    maxs29: option(nat) ).

tff(func_def_1487,type,
    sn30: vEBT_VEBT ).

tff(func_def_1488,type,
    maxs31: option(nat) ).

tff(func_def_1489,type,
    maxs32: option(nat) ).

tff(func_def_1490,type,
    xn33: nat ).

tff(func_def_1491,type,
    h34: nat ).

tff(func_def_1492,type,
    newnode35: vEBT_VEBT ).

tff(func_def_1493,type,
    newlist36: list(vEBT_VEBT) ).

tff(func_def_1494,type,
    sn37: vEBT_VEBT ).

tff(func_def_1495,type,
    maxs38: option(nat) ).

tff(func_def_1496,type,
    l39: nat ).

tff(func_def_1497,type,
    h40: nat ).

tff(func_def_1498,type,
    maxlow41: option(nat) ).

tff(func_def_1499,type,
    sc42: option(nat) ).

tff(func_def_1500,type,
    m243: 
      !>[X0: $tType] : X0 ).

tff(func_def_1501,type,
    w44: 
      !>[X0: $tType] : X0 ).

tff(func_def_1502,type,
    pos45: nat ).

tff(func_def_1503,type,
    pos46: nat ).

tff(func_def_1504,type,
    pos47: nat ).

tff(func_def_1505,type,
    l48: nat ).

tff(func_def_1506,type,
    h49: nat ).

tff(func_def_1507,type,
    maxlow50: option(nat) ).

tff(func_def_1508,type,
    sc51: option(nat) ).

tff(func_def_1509,type,
    l52: nat ).

tff(func_def_1510,type,
    h53: nat ).

tff(func_def_1511,type,
    minlow54: option(nat) ).

tff(func_def_1512,type,
    pr55: option(nat) ).

tff(func_def_1513,type,
    xn56: nat ).

tff(func_def_1514,type,
    minn57: nat ).

tff(func_def_1515,type,
    h58: nat ).

tff(func_def_1516,type,
    newnode59: vEBT_VEBT ).

tff(func_def_1517,type,
    newlist60: list(vEBT_VEBT) ).

tff(func_def_1518,type,
    sn61: vEBT_VEBT ).

tff(func_def_1519,type,
    maxs62: option(nat) ).

tff(func_def_1520,type,
    h63: nat ).

tff(func_def_1521,type,
    pos64: nat ).

tff(func_def_1522,type,
    pos65: nat ).

tff(func_def_1523,type,
    xn66: nat ).

tff(func_def_1524,type,
    h67: nat ).

tff(func_def_1525,type,
    l68: nat ).

tff(func_def_1526,type,
    h69: nat ).

tff(func_def_1527,type,
    minlow70: option(nat) ).

tff(func_def_1528,type,
    pr71: option(nat) ).

tff(func_def_1529,type,
    l72: nat ).

tff(func_def_1530,type,
    h73: nat ).

tff(func_def_1531,type,
    maxlow74: option(nat) ).

tff(func_def_1532,type,
    sc75: option(nat) ).

tff(func_def_1533,type,
    xn76: nat ).

tff(func_def_1534,type,
    minn77: nat ).

tff(func_def_1535,type,
    h78: nat ).

tff(func_def_1536,type,
    newnode79: vEBT_VEBT ).

tff(func_def_1537,type,
    newlist80: list(vEBT_VEBT) ).

tff(func_def_1538,type,
    sn81: vEBT_VEBT ).

tff(func_def_1539,type,
    maxs82: option(nat) ).

tff(func_def_1540,type,
    pos83: nat ).

tff(func_def_1541,type,
    pos84: nat ).

tff(func_def_1542,type,
    pos85: nat ).

tff(func_def_1543,type,
    h86: nat ).

tff(func_def_1544,type,
    pos87: nat ).

tff(func_def_1545,type,
    pos88: nat ).

tff(func_def_1546,type,
    pos89: nat ).

tff(func_def_1547,type,
    pos90: nat ).

tff(func_def_1548,type,
    h91: nat ).

tff(func_def_1549,type,
    h92: nat ).

tff(func_def_1550,type,
    xn93: nat ).

tff(func_def_1551,type,
    h94: nat ).

tff(func_def_1552,type,
    l95: nat ).

tff(func_def_1553,type,
    h96: nat ).

tff(func_def_1554,type,
    maxlow97: option(nat) ).

tff(func_def_1555,type,
    sc98: option(nat) ).

tff(func_def_1556,type,
    l99: nat ).

tff(func_def_1557,type,
    h100: nat ).

tff(func_def_1558,type,
    minlow101: option(nat) ).

tff(func_def_1559,type,
    pr102: option(nat) ).

tff(func_def_1560,type,
    xn103: nat ).

tff(func_def_1561,type,
    minn104: nat ).

tff(func_def_1562,type,
    h105: nat ).

tff(func_def_1563,type,
    newnode106: vEBT_VEBT ).

tff(func_def_1564,type,
    newlist107: list(vEBT_VEBT) ).

tff(func_def_1565,type,
    sn108: vEBT_VEBT ).

tff(func_def_1566,type,
    maxs109: option(nat) ).

tff(func_def_1567,type,
    xn110: nat ).

tff(func_def_1568,type,
    h111: nat ).

tff(func_def_1569,type,
    h112: nat ).

tff(func_def_1570,type,
    h113: nat ).

tff(func_def_1571,type,
    pos114: nat ).

tff(func_def_1572,type,
    pos115: nat ).

tff(func_def_1573,type,
    pos116: nat ).

tff(func_def_1574,type,
    h117: nat ).

tff(func_def_1575,type,
    pos118: nat ).

tff(func_def_1576,type,
    pos119: nat ).

tff(func_def_1577,type,
    pos120: nat ).

tff(func_def_1578,type,
    pos121: nat ).

tff(func_def_1579,type,
    pos122: nat ).

tff(func_def_1580,type,
    pos123: nat ).

tff(func_def_1581,type,
    half124: nat ).

tff(func_def_1582,type,
    half125: nat ).

tff(func_def_1583,type,
    half126: nat ).

tff(func_def_1584,type,
    half127: nat ).

tff(func_def_1585,type,
    half128: nat ).

tff(func_def_1586,type,
    half129: nat ).

tff(func_def_1587,type,
    m2130: 
      !>[X0: $tType] : X0 ).

tff(func_def_1588,type,
    w131: 
      !>[X0: $tType] : X0 ).

tff(func_def_1589,type,
    l132: 
      !>[X0: $tType] : X0 ).

tff(func_def_1590,type,
    l133: 
      !>[X0: $tType] : X0 ).

tff(func_def_1591,type,
    l134: code_integer ).

tff(func_def_1592,type,
    pv135: nat ).

tff(func_def_1593,type,
    pv136: nat ).

tff(func_def_1594,type,
    k137: code_integer ).

tff(func_def_1595,type,
    a2138: 
      !>[X0: $tType] : set(set(X0)) ).

tff(func_def_1596,type,
    a3139: int ).

tff(func_def_1597,type,
    a3140: int ).

tff(func_def_1598,type,
    n141: nat ).

tff(func_def_1599,type,
    m2142: nat ).

tff(func_def_1600,type,
    n143: nat ).

tff(func_def_1601,type,
    m2144: nat ).

tff(func_def_1602,type,
    n145: nat ).

tff(func_def_1603,type,
    m2146: nat ).

tff(func_def_1604,type,
    n147: nat ).

tff(func_def_1605,type,
    m2148: nat ).

tff(func_def_1606,type,
    n149: nat ).

tff(func_def_1607,type,
    m2150: nat ).

tff(func_def_1608,type,
    n151: nat ).

tff(func_def_1609,type,
    m2152: nat ).

tff(func_def_1610,type,
    n153: nat ).

tff(func_def_1611,type,
    m2154: nat ).

tff(func_def_1612,type,
    m2155: 
      !>[X0: $tType] : X0 ).

tff(func_def_1613,type,
    k156: code_integer ).

tff(func_def_1614,type,
    l157: code_integer ).

tff(func_def_1615,type,
    m2158: 
      !>[X0: $tType] : X0 ).

tff(func_def_1616,type,
    m2159: 
      !>[X0: $tType] : X0 ).

tff(func_def_1617,type,
    l2160: int ).

tff(func_def_1618,type,
    m3161: a ).

tff(func_def_1619,type,
    l2162: num ).

tff(func_def_1620,type,
    l3163: num ).

tff(func_def_1621,type,
    l2164: nat ).

tff(func_def_1622,type,
    l3165: nat ).

tff(func_def_1625,type,
    iG167: ( nat * nat * vEBT_VEBT * list(vEBT_VEBT) * option(product_prod(nat,nat)) ) > vEBT_VEBT ).

tff(func_def_1626,type,
    iG168: 
      !>[X0: $tType] : ( ( set(X0) * X0 * set(X0) ) > set(X0) ) ).

tff(func_def_1627,type,
    iG169: 
      !>[X0: $tType] : ( ( set(X0) * X0 * set(X0) ) > $o ) ).

tff(func_def_1628,type,
    iG170: 
      !>[X0: $tType] : ( ( set(X0) * X0 * set(X0) ) > $o ) ).

tff(func_def_1629,type,
    iG171: 
      !>[X0: $tType] : ( ( set(X0) * X0 * set(X0) ) > $o ) ).

tff(func_def_1630,type,
    iG172: ( nat * nat * nat * list(vEBT_VEBT) * nat ) > nat ).

tff(func_def_1631,type,
    iG173: ( nat * nat * nat * list(vEBT_VEBT) * nat ) > nat ).

tff(func_def_1632,type,
    iG174: 
      !>[X0: $tType] : ( ( X0 * num * X0 ) > product_prod(X0,X0) ) ).

tff(func_def_1633,type,
    lG175: ( nat * nat ) > nat ).

tff(func_def_1634,type,
    lG176: ( nat * nat ) > nat ).

tff(func_def_1635,type,
    lG177: ( list(vEBT_VEBT) * nat * nat ) > option(nat) ).

tff(func_def_1636,type,
    lG178: ( vEBT_VEBT * nat * nat ) > option(nat) ).

tff(func_def_1637,type,
    iG179: ( nat * nat ) > option(nat) ).

tff(func_def_1638,type,
    iG180: ( nat * nat * vEBT_VEBT * list(vEBT_VEBT) * nat ) > option(nat) ).

tff(func_def_1639,type,
    iG181: ( nat * nat * list(vEBT_VEBT) * vEBT_VEBT * nat ) > option(nat) ).

tff(func_def_1640,type,
    iG182: ( list(vEBT_VEBT) * nat * nat * vEBT_VEBT * nat ) > option(nat) ).

tff(func_def_1641,type,
    lG183: ( nat * nat ) > nat ).

tff(func_def_1642,type,
    lG184: ( nat * nat ) > nat ).

tff(func_def_1643,type,
    lG185: ( list(vEBT_VEBT) * nat * nat ) > option(nat) ).

tff(func_def_1644,type,
    lG186: ( vEBT_VEBT * nat * nat ) > option(nat) ).

tff(func_def_1645,type,
    iG187: ( nat * nat ) > option(nat) ).

tff(func_def_1646,type,
    iG188: ( nat * nat * vEBT_VEBT * list(vEBT_VEBT) * nat ) > option(nat) ).

tff(func_def_1647,type,
    iG189: ( nat * nat * list(vEBT_VEBT) * vEBT_VEBT * nat ) > option(nat) ).

tff(func_def_1648,type,
    lG190: ( nat * nat ) > nat ).

tff(func_def_1649,type,
    lG191: ( nat * nat ) > nat ).

tff(func_def_1650,type,
    lG192: ( list(vEBT_VEBT) * nat * nat ) > option(nat) ).

tff(func_def_1651,type,
    lG193: ( vEBT_VEBT * nat * nat ) > option(nat) ).

tff(func_def_1652,type,
    iG194: ( nat * nat * vEBT_VEBT * list(vEBT_VEBT) ) > option(nat) ).

tff(func_def_1653,type,
    iG195: ( nat * nat * list(vEBT_VEBT) * vEBT_VEBT ) > option(nat) ).

tff(func_def_1654,type,
    lG196: ( list(vEBT_VEBT) * nat * nat ) > vEBT_VEBT ).

tff(func_def_1655,type,
    lG197: ( list(vEBT_VEBT) * nat * nat ) > list(vEBT_VEBT) ).

tff(func_def_1656,type,
    lG198: ( vEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_1657,type,
    lG199: ( vEBT_VEBT * nat ) > option(nat) ).

tff(func_def_1658,type,
    iG200: ( nat * vEBT_VEBT * nat * list(vEBT_VEBT) * nat * nat ) > nat ).

tff(func_def_1659,type,
    iG201: ( nat * nat * nat * vEBT_VEBT * nat * list(vEBT_VEBT) * nat * nat ) > nat ).

tff(func_def_1660,type,
    iG202: ( nat * nat * nat * nat * list(vEBT_VEBT) * nat ) > nat ).

tff(func_def_1661,type,
    iG203: ( nat * nat * list(vEBT_VEBT) * vEBT_VEBT * nat * nat * nat * nat ) > vEBT_VEBT ).

tff(func_def_1662,type,
    lG204: vEBT_VEBT > option(nat) ).

tff(func_def_1663,type,
    iG205: ( vEBT_VEBT * list(vEBT_VEBT) * nat * nat ) > nat ).

tff(func_def_1664,type,
    iG206: ( nat * nat * vEBT_VEBT * list(vEBT_VEBT) * nat * nat ) > nat ).

tff(func_def_1665,type,
    lG207: ( vEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_1666,type,
    lG208: ( vEBT_VEBT * nat ) > option(nat) ).

tff(func_def_1667,type,
    iG209: ( nat * vEBT_VEBT * list(vEBT_VEBT) * nat * nat ) > nat ).

tff(func_def_1668,type,
    iG210: ( nat * nat * nat * vEBT_VEBT * list(vEBT_VEBT) * nat * nat ) > nat ).

tff(func_def_1669,type,
    iG211: ( nat * nat * nat * list(vEBT_VEBT) * nat ) > nat ).

tff(func_def_1670,type,
    iG212: ( vEBT_VEBT * vEBT_VEBT * list(vEBT_VEBT) * nat * nat * nat * nat * nat ) > vEBT_VEBT ).

tff(func_def_1671,type,
    lG213: ( nat * list(vEBT_VEBT) * vEBT_VEBT * nat * nat ) > nat ).

tff(func_def_1672,type,
    iG214: ( nat * nat * vEBT_VEBT * list(vEBT_VEBT) * nat ) > nat ).

tff(func_def_1673,type,
    lG215: ( nat * list(vEBT_VEBT) * vEBT_VEBT * nat * nat ) > nat ).

tff(func_def_1674,type,
    iG216: ( nat * nat * vEBT_VEBT * list(vEBT_VEBT) * nat ) > nat ).

tff(func_def_1675,type,
    lG217: ( list(vEBT_VEBT) * vEBT_VEBT * nat * nat * nat ) > nat ).

tff(func_def_1676,type,
    lG218: ( list(vEBT_VEBT) * vEBT_VEBT * nat * nat * nat ) > vEBT_VEBT ).

tff(func_def_1677,type,
    lG219: ( list(vEBT_VEBT) * vEBT_VEBT * nat * nat * nat ) > list(vEBT_VEBT) ).

tff(func_def_1678,type,
    lG220: ( list(vEBT_VEBT) * vEBT_VEBT * nat * nat * nat ) > vEBT_VEBT ).

tff(func_def_1679,type,
    lG221: ( list(vEBT_VEBT) * vEBT_VEBT * nat * nat * nat ) > option(nat) ).

tff(func_def_1680,type,
    iG222: ( nat * nat * nat * vEBT_VEBT * list(vEBT_VEBT) ) > nat ).

tff(func_def_1681,type,
    iG223: ( nat * nat * nat * vEBT_VEBT * list(vEBT_VEBT) * nat ) > nat ).

tff(func_def_1682,type,
    iG224: ( nat * nat * nat * vEBT_VEBT * list(vEBT_VEBT) * nat ) > nat ).

tff(func_def_1683,type,
    iG225: ( nat * nat * nat * vEBT_VEBT * list(vEBT_VEBT) * nat ) > vEBT_VEBT ).

tff(func_def_1684,type,
    iG226: ( list(vEBT_VEBT) * nat * nat * nat * vEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_1685,type,
    lG227: ( list(vEBT_VEBT) * nat * nat ) > vEBT_VEBT ).

tff(func_def_1686,type,
    lG228: ( list(vEBT_VEBT) * nat * nat ) > list(vEBT_VEBT) ).

tff(func_def_1687,type,
    lG229: ( vEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_1688,type,
    lG230: ( vEBT_VEBT * nat ) > option(nat) ).

tff(func_def_1689,type,
    iG231: ( nat * vEBT_VEBT * nat * list(vEBT_VEBT) * nat * nat ) > nat ).

tff(func_def_1690,type,
    iG232: ( nat * nat * nat * vEBT_VEBT * nat * list(vEBT_VEBT) * nat ) > nat ).

tff(func_def_1691,type,
    iG233: ( nat * nat * nat * nat * list(vEBT_VEBT) * nat ) > nat ).

tff(func_def_1692,type,
    iG234: ( nat * nat * list(vEBT_VEBT) * vEBT_VEBT * nat * nat * nat ) > vEBT_VEBT ).

tff(func_def_1693,type,
    lG235: ( vEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_1694,type,
    lG236: ( vEBT_VEBT * nat ) > option(nat) ).

tff(func_def_1695,type,
    iG237: ( nat * vEBT_VEBT * list(vEBT_VEBT) * nat * nat ) > nat ).

tff(func_def_1696,type,
    iG238: ( nat * nat * nat * vEBT_VEBT * list(vEBT_VEBT) * nat ) > nat ).

tff(func_def_1697,type,
    iG239: ( nat * nat * nat * list(vEBT_VEBT) * nat ) > nat ).

tff(func_def_1698,type,
    iG240: ( vEBT_VEBT * vEBT_VEBT * list(vEBT_VEBT) * nat * nat * nat * nat ) > vEBT_VEBT ).

tff(func_def_1699,type,
    lG241: vEBT_VEBT > option(nat) ).

tff(func_def_1700,type,
    iG242: ( vEBT_VEBT * list(vEBT_VEBT) * nat * nat ) > nat ).

tff(func_def_1701,type,
    iG243: ( nat * nat * vEBT_VEBT * list(vEBT_VEBT) * nat ) > nat ).

tff(func_def_1702,type,
    lG244: ( nat * list(vEBT_VEBT) * vEBT_VEBT ) > nat ).

tff(func_def_1703,type,
    lG245: ( list(vEBT_VEBT) * vEBT_VEBT * nat ) > nat ).

tff(func_def_1704,type,
    lG246: ( list(vEBT_VEBT) * vEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_1705,type,
    lG247: ( list(vEBT_VEBT) * vEBT_VEBT * nat ) > list(vEBT_VEBT) ).

tff(func_def_1706,type,
    lG248: ( list(vEBT_VEBT) * vEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_1707,type,
    lG249: ( list(vEBT_VEBT) * vEBT_VEBT * nat ) > option(nat) ).

tff(func_def_1708,type,
    iG250: ( nat * vEBT_VEBT * list(vEBT_VEBT) ) > nat ).

tff(func_def_1709,type,
    iG251: ( nat * vEBT_VEBT * list(vEBT_VEBT) * nat ) > nat ).

tff(func_def_1710,type,
    iG252: ( nat * vEBT_VEBT * list(vEBT_VEBT) * nat ) > nat ).

tff(func_def_1711,type,
    iG253: ( nat * vEBT_VEBT * list(vEBT_VEBT) * nat ) > vEBT_VEBT ).

tff(func_def_1712,type,
    iG254: ( list(vEBT_VEBT) * nat * vEBT_VEBT * nat * nat ) > vEBT_VEBT ).

tff(func_def_1713,type,
    lG255: ( nat * nat ) > nat ).

tff(func_def_1714,type,
    lG256: ( nat * nat ) > nat ).

tff(func_def_1715,type,
    lG257: ( list(vEBT_VEBT) * nat * nat ) > option(nat) ).

tff(func_def_1716,type,
    lG258: ( vEBT_VEBT * nat * nat ) > option(nat) ).

tff(func_def_1717,type,
    iG259: ( nat * nat * vEBT_VEBT * list(vEBT_VEBT) ) > option(nat) ).

tff(func_def_1718,type,
    iG260: ( nat * nat * list(vEBT_VEBT) * vEBT_VEBT ) > option(nat) ).

tff(func_def_1719,type,
    iG261: ( list(vEBT_VEBT) * nat * nat * vEBT_VEBT ) > option(nat) ).

tff(func_def_1720,type,
    iG262: 
      !>[X0: $tType] : ( ( X0 * fun(X0,$o) ) > set(X0) ) ).

tff(func_def_1721,type,
    iG263: 
      !>[X0: $tType] : ( ( X0 * fun(X0,$o) ) > set(X0) ) ).

tff(func_def_1722,type,
    lG264: 
      !>[X0: $tType] : ( num > X0 ) ).

tff(func_def_1723,type,
    lG265: 
      !>[X0: $tType] : ( ( X0 * num ) > X0 ) ).

tff(func_def_1724,type,
    lG266: ( nat * nat ) > nat ).

tff(func_def_1725,type,
    lG268: ( nat * nat ) > nat ).

tff(func_def_1726,type,
    lG270: ( nat * nat ) > nat ).

tff(func_def_1727,type,
    lG272: ( nat * nat ) > nat ).

tff(func_def_1728,type,
    lG273: ( nat * nat ) > nat ).

tff(func_def_1729,type,
    lG274: ( list(vEBT_VEBT) * nat * nat ) > option(nat) ).

tff(func_def_1730,type,
    lG275: ( vEBT_VEBT * nat * nat ) > option(nat) ).

tff(func_def_1731,type,
    iG276: ( nat * nat * vEBT_VEBT * list(vEBT_VEBT) ) > option(nat) ).

tff(func_def_1732,type,
    iG277: ( nat * nat * list(vEBT_VEBT) * vEBT_VEBT ) > option(nat) ).

tff(func_def_1733,type,
    iG278: ( list(vEBT_VEBT) * nat * nat * vEBT_VEBT ) > option(nat) ).

tff(func_def_1734,type,
    iG279: ( nat * nat * nat * list(vEBT_VEBT) * vEBT_VEBT ) > option(nat) ).

tff(func_def_1735,type,
    lG280: ( nat * nat ) > nat ).

tff(func_def_1736,type,
    lG281: ( nat * nat ) > nat ).

tff(func_def_1737,type,
    lG282: ( list(vEBT_VEBT) * nat * nat ) > option(nat) ).

tff(func_def_1738,type,
    lG283: ( vEBT_VEBT * nat * nat ) > option(nat) ).

tff(func_def_1739,type,
    iG284: ( nat * nat ) > option(nat) ).

tff(func_def_1740,type,
    iG285: ( nat * nat * vEBT_VEBT * list(vEBT_VEBT) * nat ) > option(nat) ).

tff(func_def_1741,type,
    iG286: ( nat * nat * list(vEBT_VEBT) * vEBT_VEBT * nat ) > option(nat) ).

tff(func_def_1742,type,
    iG287: ( list(vEBT_VEBT) * nat * nat * vEBT_VEBT * nat ) > option(nat) ).

tff(func_def_1743,type,
    iG288: ( nat * nat * nat * list(vEBT_VEBT) * vEBT_VEBT * nat ) > option(nat) ).

tff(func_def_1744,type,
    lG289: ( nat * list(vEBT_VEBT) * vEBT_VEBT * nat * nat ) > nat ).

tff(func_def_1745,type,
    iG290: ( nat * nat * vEBT_VEBT * list(vEBT_VEBT) * nat ) > nat ).

tff(func_def_1746,type,
    lG291: ( nat * list(vEBT_VEBT) * vEBT_VEBT * nat * nat ) > nat ).

tff(func_def_1747,type,
    iG292: ( nat * nat * vEBT_VEBT * list(vEBT_VEBT) * nat ) > nat ).

tff(func_def_1748,type,
    lG293: ( list(vEBT_VEBT) * vEBT_VEBT * nat * nat * nat ) > nat ).

tff(func_def_1749,type,
    lG294: ( list(vEBT_VEBT) * vEBT_VEBT * nat * nat * nat ) > vEBT_VEBT ).

tff(func_def_1750,type,
    lG295: ( list(vEBT_VEBT) * vEBT_VEBT * nat * nat * nat ) > list(vEBT_VEBT) ).

tff(func_def_1751,type,
    lG296: ( list(vEBT_VEBT) * vEBT_VEBT * nat * nat * nat ) > vEBT_VEBT ).

tff(func_def_1752,type,
    lG297: ( list(vEBT_VEBT) * vEBT_VEBT * nat * nat * nat ) > option(nat) ).

tff(func_def_1753,type,
    iG298: ( nat * nat * nat * vEBT_VEBT * list(vEBT_VEBT) ) > nat ).

tff(func_def_1754,type,
    iG299: ( nat * nat * nat * vEBT_VEBT * list(vEBT_VEBT) * nat ) > nat ).

tff(func_def_1755,type,
    iG300: ( nat * nat * nat * vEBT_VEBT * list(vEBT_VEBT) * nat ) > nat ).

tff(func_def_1756,type,
    iG301: ( nat * nat * nat * vEBT_VEBT * list(vEBT_VEBT) * nat ) > vEBT_VEBT ).

tff(func_def_1757,type,
    iG302: ( list(vEBT_VEBT) * nat * nat * nat * vEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_1758,type,
    iG303: ( nat * nat * nat * vEBT_VEBT * list(vEBT_VEBT) * nat ) > vEBT_VEBT ).

tff(func_def_1759,type,
    iG304: ( nat * nat * nat * vEBT_VEBT * list(vEBT_VEBT) * nat ) > vEBT_VEBT ).

tff(func_def_1760,type,
    lG305: ( nat * nat ) > nat ).

tff(func_def_1761,type,
    iG306: ( list(vEBT_VEBT) * nat * nat ) > $o ).

tff(func_def_1762,type,
    iG307: ( nat * nat * nat * list(vEBT_VEBT) ) > $o ).

tff(func_def_1763,type,
    iG308: ( nat * nat * nat * nat * list(vEBT_VEBT) ) > $o ).

tff(func_def_1764,type,
    iG309: ( nat * nat * nat * nat * list(vEBT_VEBT) ) > $o ).

tff(func_def_1765,type,
    iG310: ( nat * nat * nat * nat * list(vEBT_VEBT) ) > $o ).

tff(func_def_1766,type,
    iG311: ( nat * nat * list(vEBT_VEBT) * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_1767,type,
    iG312: ( nat * nat * list(vEBT_VEBT) * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_1768,type,
    lG313: ( nat * nat ) > nat ).

tff(func_def_1769,type,
    lG315: ( nat * nat ) > nat ).

tff(func_def_1770,type,
    iG317: 
      !>[X0: $tType] : ( ( num * num ) > X0 ) ).

tff(func_def_1771,type,
    iG320: 
      !>[X0: $tType] : ( ( X0 * X0 ) > X0 ) ).

tff(func_def_1772,type,
    iG321: 
      !>[X0: $tType] : ( nat > X0 ) ).

tff(func_def_1773,type,
    iG324: 
      !>[X0: $tType] : ( ( X0 * num * X0 ) > $o ) ).

tff(func_def_1774,type,
    iG325: 
      !>[X0: $tType] : ( ( X0 * num * X0 ) > $o ) ).

tff(func_def_1775,type,
    iG326: 
      !>[X0: $tType] : ( ( X0 * num * X0 ) > $o ) ).

tff(func_def_1776,type,
    iG327: 
      !>[X0: $tType] : ( ( X0 * num * X0 ) > $o ) ).

tff(func_def_1777,type,
    iG328: ( nat * nat ) > nat ).

tff(func_def_1778,type,
    iG329: ( nat * nat ) > nat ).

tff(func_def_1779,type,
    iG330: ( nat * nat ) > nat ).

tff(func_def_1780,type,
    iG331: 
      !>[X0: $tType] : ( ( X0 * num * X0 ) > $o ) ).

tff(func_def_1781,type,
    iG332: 
      !>[X0: $tType] : ( ( X0 * num * X0 ) > $o ) ).

tff(func_def_1782,type,
    iG333: 
      !>[X0: $tType] : ( ( X0 * num * X0 ) > $o ) ).

tff(func_def_1783,type,
    iG334: 
      !>[X0: $tType] : ( ( X0 * num * X0 ) > $o ) ).

tff(func_def_1784,type,
    iG335: 
      !>[X0: $tType] : ( ( nat * nat * X0 ) > X0 ) ).

tff(func_def_1785,type,
    iG336: 
      !>[X0: $tType] : ( ( nat * X0 ) > X0 ) ).

tff(func_def_1786,type,
    iG337: 
      !>[X0: $tType] : ( ( nat * nat * list(X0) * X0 ) > X0 ) ).

tff(func_def_1787,type,
    lG338: ( nat * nat ) > nat ).

tff(func_def_1788,type,
    iG339: ( nat * nat ) > nat ).

tff(func_def_1789,type,
    lG340: ( nat * nat * nat ) > nat ).

tff(func_def_1790,type,
    iG341: ( nat * nat ) > nat ).

tff(func_def_1791,type,
    iG342: ( nat * nat * nat * list(vEBT_VEBT) * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_1792,type,
    iG343: ( list(vEBT_VEBT) * nat * nat * nat * nat * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_1793,type,
    lG344: ( nat * nat ) > nat ).

tff(func_def_1794,type,
    lG345: ( nat * nat ) > nat ).

tff(func_def_1795,type,
    lG346: ( list(vEBT_VEBT) * nat * nat ) > option(nat) ).

tff(func_def_1796,type,
    lG347: ( vEBT_VEBT * nat * nat ) > option(nat) ).

tff(func_def_1797,type,
    iG348: ( nat * nat ) > option(nat) ).

tff(func_def_1798,type,
    iG349: ( nat * nat * vEBT_VEBT * list(vEBT_VEBT) * nat ) > option(nat) ).

tff(func_def_1799,type,
    iG350: ( nat * nat * list(vEBT_VEBT) * vEBT_VEBT * nat ) > option(nat) ).

tff(func_def_1800,type,
    iG351: ( list(vEBT_VEBT) * nat * nat * vEBT_VEBT * nat ) > option(nat) ).

tff(func_def_1801,type,
    iG352: ( nat * nat * nat * list(vEBT_VEBT) * vEBT_VEBT * nat ) > option(nat) ).

tff(func_def_1802,type,
    iG353: $o > option(nat) ).

tff(func_def_1803,type,
    iG354: ( $o * $o ) > option(nat) ).

tff(func_def_1804,type,
    bG355: $o > $o ).

tff(func_def_1805,type,
    bG356: $o > $o ).

tff(func_def_1806,type,
    iG357: $o > option(nat) ).

tff(func_def_1807,type,
    bG358: $o > $o ).

tff(func_def_1808,type,
    bG359: $o > $o ).

tff(func_def_1809,type,
    bG360: $o > $o ).

tff(func_def_1810,type,
    bG361: $o > $o ).

tff(func_def_1811,type,
    lG362: ( nat * nat ) > nat ).

tff(func_def_1812,type,
    lG363: ( nat * nat ) > nat ).

tff(func_def_1813,type,
    lG364: ( list(vEBT_VEBT) * nat * nat ) > option(nat) ).

tff(func_def_1814,type,
    lG365: ( vEBT_VEBT * nat * nat ) > option(nat) ).

tff(func_def_1815,type,
    iG366: ( nat * nat * vEBT_VEBT * list(vEBT_VEBT) ) > option(nat) ).

tff(func_def_1816,type,
    iG367: ( nat * nat * list(vEBT_VEBT) * vEBT_VEBT ) > option(nat) ).

tff(func_def_1817,type,
    iG368: ( list(vEBT_VEBT) * nat * nat * vEBT_VEBT ) > option(nat) ).

tff(func_def_1818,type,
    iG369: ( nat * nat * nat * list(vEBT_VEBT) * vEBT_VEBT ) > option(nat) ).

tff(func_def_1819,type,
    bG370: $o > $o ).

tff(func_def_1820,type,
    bG371: $o > $o ).

tff(func_def_1821,type,
    iG372: $o > option(nat) ).

tff(func_def_1822,type,
    bG373: $o > $o ).

tff(func_def_1823,type,
    bG374: $o > $o ).

tff(func_def_1824,type,
    lG375: ( nat * list(vEBT_VEBT) * vEBT_VEBT * nat * nat ) > nat ).

tff(func_def_1825,type,
    iG376: ( nat * nat * vEBT_VEBT * list(vEBT_VEBT) * nat ) > nat ).

tff(func_def_1826,type,
    lG377: ( nat * list(vEBT_VEBT) * vEBT_VEBT * nat * nat ) > nat ).

tff(func_def_1827,type,
    iG378: ( nat * nat * vEBT_VEBT * list(vEBT_VEBT) * nat ) > nat ).

tff(func_def_1828,type,
    lG379: ( list(vEBT_VEBT) * vEBT_VEBT * nat * nat * nat ) > nat ).

tff(func_def_1829,type,
    lG380: ( list(vEBT_VEBT) * vEBT_VEBT * nat * nat * nat ) > vEBT_VEBT ).

tff(func_def_1830,type,
    lG381: ( list(vEBT_VEBT) * vEBT_VEBT * nat * nat * nat ) > list(vEBT_VEBT) ).

tff(func_def_1831,type,
    lG382: ( list(vEBT_VEBT) * vEBT_VEBT * nat * nat * nat ) > vEBT_VEBT ).

tff(func_def_1832,type,
    lG383: ( list(vEBT_VEBT) * vEBT_VEBT * nat * nat * nat ) > option(nat) ).

tff(func_def_1833,type,
    iG384: ( nat * nat * nat * vEBT_VEBT * list(vEBT_VEBT) ) > nat ).

tff(func_def_1834,type,
    iG385: ( nat * nat * nat * vEBT_VEBT * list(vEBT_VEBT) * nat ) > nat ).

tff(func_def_1835,type,
    iG386: ( nat * nat * nat * vEBT_VEBT * list(vEBT_VEBT) * nat ) > nat ).

tff(func_def_1836,type,
    iG387: ( nat * nat * nat * vEBT_VEBT * list(vEBT_VEBT) * nat ) > vEBT_VEBT ).

tff(func_def_1837,type,
    iG388: ( list(vEBT_VEBT) * nat * nat * nat * vEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_1838,type,
    iG389: ( nat * nat * nat * vEBT_VEBT * list(vEBT_VEBT) * nat ) > vEBT_VEBT ).

tff(func_def_1839,type,
    iG390: ( nat * nat * nat * vEBT_VEBT * list(vEBT_VEBT) * nat ) > vEBT_VEBT ).

tff(func_def_1840,type,
    bG391: $o > $o ).

tff(func_def_1841,type,
    bG392: $o > $o ).

tff(func_def_1842,type,
    bG393: $o > $o ).

tff(func_def_1843,type,
    bG394: $o > $o ).

tff(func_def_1844,type,
    bG395: $o > $o ).

tff(func_def_1845,type,
    bG396: $o > $o ).

tff(func_def_1846,type,
    bG397: $o > $o ).

tff(func_def_1847,type,
    bG398: $o > $o ).

tff(func_def_1848,type,
    bG399: $o > $o ).

tff(func_def_1849,type,
    bG400: $o > $o ).

tff(func_def_1850,type,
    bG401: $o > $o ).

tff(func_def_1851,type,
    bG402: $o > $o ).

tff(func_def_1852,type,
    bG403: $o > $o ).

tff(func_def_1853,type,
    bG404: $o > $o ).

tff(func_def_1854,type,
    bG405: $o > $o ).

tff(func_def_1855,type,
    bG406: $o > $o ).

tff(func_def_1856,type,
    bG407: $o > $o ).

tff(func_def_1857,type,
    bG408: $o > $o ).

tff(func_def_1858,type,
    bG409: $o > $o ).

tff(func_def_1859,type,
    bG410: $o > $o ).

tff(func_def_1860,type,
    bG411: $o > $o ).

tff(func_def_1861,type,
    bG412: $o > $o ).

tff(func_def_1862,type,
    bG413: $o > $o ).

tff(func_def_1863,type,
    bG414: $o > $o ).

tff(func_def_1864,type,
    bG415: $o > $o ).

tff(func_def_1865,type,
    bG416: $o > $o ).

tff(func_def_1866,type,
    bG417: $o > $o ).

tff(func_def_1867,type,
    bG418: $o > $o ).

tff(func_def_1868,type,
    bG419: $o > $o ).

tff(func_def_1869,type,
    bG420: $o > $o ).

tff(func_def_1870,type,
    bG421: $o > $o ).

tff(func_def_1871,type,
    bG422: $o > $o ).

tff(func_def_1872,type,
    bG423: $o > $o ).

tff(func_def_1873,type,
    bG424: $o > $o ).

tff(func_def_1874,type,
    bG425: $o > $o ).

tff(func_def_1875,type,
    bG426: $o > $o ).

tff(func_def_1876,type,
    bG427: $o > $o ).

tff(func_def_1877,type,
    bG428: $o > $o ).

tff(func_def_1878,type,
    bG429: $o > $o ).

tff(func_def_1879,type,
    bG430: $o > $o ).

tff(func_def_1880,type,
    bG431: $o > $o ).

tff(func_def_1881,type,
    bG432: $o > $o ).

tff(func_def_1882,type,
    bG433: $o > $o ).

tff(func_def_1883,type,
    bG434: $o > $o ).

tff(func_def_1884,type,
    bG435: $o > $o ).

tff(func_def_1885,type,
    bG436: $o > $o ).

tff(func_def_1886,type,
    bG437: $o > $o ).

tff(func_def_1887,type,
    bG438: $o > $o ).

tff(func_def_1888,type,
    bG439: $o > $o ).

tff(func_def_1889,type,
    bG440: $o > $o ).

tff(func_def_1890,type,
    bG441: $o > $o ).

tff(func_def_1891,type,
    bG442: $o > $o ).

tff(func_def_1892,type,
    bG443: $o > $o ).

tff(func_def_1893,type,
    bG444: $o > $o ).

tff(func_def_1894,type,
    bG445: $o > $o ).

tff(func_def_1895,type,
    iG446: ( nat * $o ) > $o ).

tff(func_def_1896,type,
    iG447: ( nat * $o * $o ) > $o ).

tff(func_def_1897,type,
    bG448: $o > $o ).

tff(func_def_1898,type,
    bG449: $o > $o ).

tff(func_def_1899,type,
    bG450: $o > $o ).

tff(func_def_1900,type,
    bG451: $o > $o ).

tff(func_def_1901,type,
    bG454: $o > $o ).

tff(func_def_1902,type,
    bG455: $o > $o ).

tff(func_def_1903,type,
    bG456: $o > $o ).

tff(func_def_1904,type,
    bG457: $o > $o ).

tff(func_def_1905,type,
    bG458: $o > $o ).

tff(func_def_1906,type,
    bG459: $o > $o ).

tff(func_def_1907,type,
    bG460: $o > $o ).

tff(func_def_1908,type,
    bG461: $o > $o ).

tff(func_def_1909,type,
    bG462: $o > $o ).

tff(func_def_1910,type,
    bG463: $o > $o ).

tff(func_def_1911,type,
    bG464: $o > $o ).

tff(func_def_1912,type,
    bG465: $o > $o ).

tff(func_def_1913,type,
    iG466: $o > option(nat) ).

tff(func_def_1914,type,
    iG467: ( $o * $o ) > option(nat) ).

tff(func_def_1915,type,
    bG468: $o > $o ).

tff(func_def_1916,type,
    bG469: $o > $o ).

tff(func_def_1917,type,
    iG470: $o > option(nat) ).

tff(func_def_1918,type,
    iG471: ( $o * $o ) > option(nat) ).

tff(func_def_1919,type,
    bG472: $o > $o ).

tff(func_def_1920,type,
    bG473: $o > $o ).

tff(func_def_1921,type,
    iG474: $o > option(nat) ).

tff(func_def_1922,type,
    bG475: $o > $o ).

tff(func_def_1923,type,
    bG476: $o > $o ).

tff(func_def_1924,type,
    iG477: $o > option(nat) ).

tff(func_def_1925,type,
    bG478: $o > $o ).

tff(func_def_1926,type,
    bG479: $o > $o ).

tff(func_def_1927,type,
    bG480: $o > $o ).

tff(func_def_1928,type,
    bG481: $o > $o ).

tff(func_def_1929,type,
    bG482: $o > $o ).

tff(func_def_1930,type,
    bG483: $o > $o ).

tff(func_def_1931,type,
    bG484: $o > $o ).

tff(func_def_1932,type,
    bG485: $o > $o ).

tff(func_def_1933,type,
    bG486: $o > $o ).

tff(func_def_1934,type,
    bG487: $o > $o ).

tff(func_def_1935,type,
    bG488: $o > $o ).

tff(func_def_1936,type,
    bG489: $o > $o ).

tff(func_def_1937,type,
    bG490: $o > $o ).

tff(func_def_1938,type,
    bG491: $o > $o ).

tff(func_def_1939,type,
    bG492: $o > $o ).

tff(func_def_1940,type,
    bG493: $o > $o ).

tff(func_def_1941,type,
    bG494: $o > $o ).

tff(func_def_1942,type,
    bG495: $o > $o ).

tff(func_def_1943,type,
    bG496: $o > $o ).

tff(func_def_1944,type,
    bG497: $o > $o ).

tff(func_def_1945,type,
    bG498: $o > $o ).

tff(func_def_1946,type,
    bG499: $o > $o ).

tff(func_def_1947,type,
    bG500: $o > $o ).

tff(func_def_1948,type,
    bG501: $o > $o ).

tff(func_def_1949,type,
    iG502: $o > option(nat) ).

tff(func_def_1950,type,
    iG503: ( $o * $o ) > option(nat) ).

tff(func_def_1951,type,
    iG504: ( nat * nat * vEBT_VEBT * list(vEBT_VEBT) * option(product_prod(nat,nat)) ) > vEBT_VEBT ).

tff(func_def_1952,type,
    bG505: $o > $o ).

tff(func_def_1953,type,
    bG506: $o > $o ).

tff(func_def_1954,type,
    bG507: $o > $o ).

tff(func_def_1955,type,
    bG508: $o > $o ).

tff(func_def_1956,type,
    iG509: $o > option(nat) ).

tff(func_def_1957,type,
    iG510: ( $o * $o ) > option(nat) ).

tff(func_def_1958,type,
    bG511: $o > $o ).

tff(func_def_1959,type,
    bG512: $o > $o ).

tff(func_def_1960,type,
    iG513: $o > option(nat) ).

tff(func_def_1961,type,
    iG514: ( $o * $o ) > option(nat) ).

tff(func_def_1962,type,
    bG515: $o > $o ).

tff(func_def_1963,type,
    bG516: $o > $o ).

tff(func_def_1964,type,
    iG517: 
      !>[X0: $tType] : ( ( X0 * X0 * X0 ) > X0 ) ).

tff(func_def_1965,type,
    iG518: 
      !>[X0: $tType] : ( ( X0 * X0 * X0 ) > X0 ) ).

tff(func_def_1966,type,
    lG519: ( nat * nat ) > nat ).

tff(func_def_1967,type,
    bG523: $o > $o ).

tff(func_def_1968,type,
    bG524: $o > $o ).

tff(func_def_1969,type,
    lG525: ( nat * nat ) > nat ).

tff(func_def_1970,type,
    bG529: $o > $o ).

tff(func_def_1971,type,
    bG530: $o > $o ).

tff(func_def_1972,type,
    lG531: ( nat * nat ) > nat ).

tff(func_def_1973,type,
    bG535: $o > $o ).

tff(func_def_1974,type,
    bG536: $o > $o ).

tff(func_def_1975,type,
    lG537: ( nat * nat ) > nat ).

tff(func_def_1976,type,
    bG545: $o > $o ).

tff(func_def_1977,type,
    bG546: $o > $o ).

tff(func_def_1978,type,
    lG547: ( nat * nat ) > nat ).

tff(func_def_1979,type,
    lG549: ( nat * nat ) > nat ).

tff(func_def_1980,type,
    bG551: $o > $o ).

tff(func_def_1981,type,
    bG552: $o > $o ).

tff(func_def_1982,type,
    lG553: ( nat * nat ) > nat ).

tff(func_def_1983,type,
    lG555: ( nat * nat ) > nat ).

tff(func_def_1984,type,
    bG557: $o > $o ).

tff(func_def_1985,type,
    bG558: $o > $o ).

tff(func_def_1986,type,
    iG559: 
      !>[X0: $tType] : ( ( X0 * X0 * X0 ) > $o ) ).

tff(func_def_1987,type,
    iG560: 
      !>[X0: $tType] : ( ( X0 * X0 * X0 ) > $o ) ).

tff(func_def_1988,type,
    iG561: 
      !>[X0: $tType] : ( ( X0 * X0 * X0 ) > $o ) ).

tff(func_def_1989,type,
    iG562: 
      !>[X0: $tType] : ( ( X0 * X0 * X0 ) > $o ) ).

tff(func_def_1990,type,
    lG563: ( nat * nat ) > nat ).

tff(func_def_1991,type,
    bG571: $o > $o ).

tff(func_def_1992,type,
    bG572: $o > $o ).

tff(func_def_1993,type,
    lG573: ( nat * nat ) > nat ).

tff(func_def_1994,type,
    bG581: $o > $o ).

tff(func_def_1995,type,
    bG582: $o > $o ).

tff(func_def_1996,type,
    bG583: $o > $o ).

tff(func_def_1997,type,
    bG584: $o > $o ).

tff(func_def_1998,type,
    bG585: $o > $o ).

tff(func_def_1999,type,
    bG586: $o > $o ).

tff(func_def_2000,type,
    lG587: ( nat * nat ) > nat ).

tff(func_def_2001,type,
    iG588: ( nat * nat ) > nat ).

tff(func_def_2002,type,
    lG589: ( nat * nat * nat ) > nat ).

tff(func_def_2003,type,
    iG590: ( nat * nat ) > nat ).

tff(func_def_2004,type,
    iG591: ( nat * nat * nat * list(vEBT_VEBT) * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_2005,type,
    iG592: ( list(vEBT_VEBT) * nat * nat * nat * nat * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_2006,type,
    bG593: $o > $o ).

tff(func_def_2007,type,
    bG594: $o > $o ).

tff(func_def_2008,type,
    bG595: $o > $o ).

tff(func_def_2009,type,
    bG596: $o > $o ).

tff(func_def_2010,type,
    iG597: ( nat * $o * $o ) > vEBT_VEBT ).

tff(func_def_2011,type,
    iG598: ( nat * $o * $o ) > vEBT_VEBT ).

tff(func_def_2012,type,
    bG599: $o > $o ).

tff(func_def_2013,type,
    bG600: $o > $o ).

tff(func_def_2014,type,
    lG601: ( nat * nat ) > nat ).

tff(func_def_2015,type,
    lG602: ( nat * nat ) > nat ).

tff(func_def_2016,type,
    lG603: ( list(vEBT_VEBT) * nat * nat ) > option(nat) ).

tff(func_def_2017,type,
    lG604: ( vEBT_VEBT * nat * nat ) > option(nat) ).

tff(func_def_2018,type,
    iG605: ( nat * nat * vEBT_VEBT * list(vEBT_VEBT) ) > option(nat) ).

tff(func_def_2019,type,
    iG606: ( nat * nat * list(vEBT_VEBT) * vEBT_VEBT ) > option(nat) ).

tff(func_def_2020,type,
    iG607: ( list(vEBT_VEBT) * nat * nat * vEBT_VEBT ) > option(nat) ).

tff(func_def_2021,type,
    iG608: ( nat * nat * nat * list(vEBT_VEBT) * vEBT_VEBT ) > option(nat) ).

tff(func_def_2022,type,
    bG609: $o > $o ).

tff(func_def_2023,type,
    bG610: $o > $o ).

tff(func_def_2024,type,
    bG611: $o > $o ).

tff(func_def_2025,type,
    bG612: $o > $o ).

tff(func_def_2026,type,
    bG613: $o > $o ).

tff(func_def_2027,type,
    bG614: $o > $o ).

tff(func_def_2028,type,
    iG615: $o > option(nat) ).

tff(func_def_2029,type,
    bG616: $o > $o ).

tff(func_def_2030,type,
    bG617: $o > $o ).

tff(func_def_2031,type,
    lG618: ( nat * nat ) > nat ).

tff(func_def_2032,type,
    lG619: ( nat * nat ) > nat ).

tff(func_def_2033,type,
    lG620: ( list(vEBT_VEBT) * nat * nat ) > option(nat) ).

tff(func_def_2034,type,
    lG621: ( vEBT_VEBT * nat * nat ) > option(nat) ).

tff(func_def_2035,type,
    iG622: ( nat * nat ) > option(nat) ).

tff(func_def_2036,type,
    iG623: ( nat * nat * vEBT_VEBT * list(vEBT_VEBT) * nat ) > option(nat) ).

tff(func_def_2037,type,
    iG624: ( nat * nat * list(vEBT_VEBT) * vEBT_VEBT * nat ) > option(nat) ).

tff(func_def_2038,type,
    iG625: ( list(vEBT_VEBT) * nat * nat * vEBT_VEBT * nat ) > option(nat) ).

tff(func_def_2039,type,
    iG626: ( nat * nat * nat * list(vEBT_VEBT) * vEBT_VEBT * nat ) > option(nat) ).

tff(func_def_2040,type,
    bG627: $o > $o ).

tff(func_def_2041,type,
    bG628: $o > $o ).

tff(func_def_2042,type,
    iG629: $o > option(nat) ).

tff(func_def_2043,type,
    iG630: ( $o * $o ) > option(nat) ).

tff(func_def_2044,type,
    bG631: $o > $o ).

tff(func_def_2045,type,
    bG632: $o > $o ).

tff(func_def_2046,type,
    bG633: $o > $o ).

tff(func_def_2047,type,
    bG634: $o > $o ).

tff(func_def_2048,type,
    iG635: $o > option(nat) ).

tff(func_def_2049,type,
    bG636: $o > $o ).

tff(func_def_2050,type,
    bG637: $o > $o ).

tff(func_def_2051,type,
    bG638: $o > $o ).

tff(func_def_2052,type,
    bG639: $o > $o ).

tff(func_def_2053,type,
    bG640: $o > $o ).

tff(func_def_2054,type,
    bG641: $o > $o ).

tff(func_def_2055,type,
    lG642: ( nat * list(vEBT_VEBT) * vEBT_VEBT * nat * nat ) > nat ).

tff(func_def_2056,type,
    iG643: ( nat * nat * vEBT_VEBT * list(vEBT_VEBT) * nat ) > nat ).

tff(func_def_2057,type,
    lG644: ( nat * list(vEBT_VEBT) * vEBT_VEBT * nat * nat ) > nat ).

tff(func_def_2058,type,
    iG645: ( nat * nat * vEBT_VEBT * list(vEBT_VEBT) * nat ) > nat ).

tff(func_def_2059,type,
    lG646: ( list(vEBT_VEBT) * vEBT_VEBT * nat * nat * nat ) > nat ).

tff(func_def_2060,type,
    lG647: ( list(vEBT_VEBT) * vEBT_VEBT * nat * nat * nat ) > vEBT_VEBT ).

tff(func_def_2061,type,
    lG648: ( list(vEBT_VEBT) * vEBT_VEBT * nat * nat * nat ) > list(vEBT_VEBT) ).

tff(func_def_2062,type,
    lG649: ( list(vEBT_VEBT) * vEBT_VEBT * nat * nat * nat ) > vEBT_VEBT ).

tff(func_def_2063,type,
    lG650: ( list(vEBT_VEBT) * vEBT_VEBT * nat * nat * nat ) > option(nat) ).

tff(func_def_2064,type,
    iG651: ( nat * nat * nat * vEBT_VEBT * list(vEBT_VEBT) ) > nat ).

tff(func_def_2065,type,
    iG652: ( nat * nat * nat * vEBT_VEBT * list(vEBT_VEBT) * nat ) > nat ).

tff(func_def_2066,type,
    iG653: ( nat * nat * nat * vEBT_VEBT * list(vEBT_VEBT) * nat ) > nat ).

tff(func_def_2067,type,
    iG654: ( nat * nat * nat * vEBT_VEBT * list(vEBT_VEBT) * nat ) > vEBT_VEBT ).

tff(func_def_2068,type,
    iG655: ( list(vEBT_VEBT) * nat * nat * nat * vEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_2069,type,
    iG656: ( nat * nat * nat * vEBT_VEBT * list(vEBT_VEBT) * nat ) > vEBT_VEBT ).

tff(func_def_2070,type,
    iG657: ( nat * nat * nat * vEBT_VEBT * list(vEBT_VEBT) * nat ) > vEBT_VEBT ).

tff(func_def_2071,type,
    bG658: $o > $o ).

tff(func_def_2072,type,
    bG659: $o > $o ).

tff(func_def_2073,type,
    bG660: $o > $o ).

tff(func_def_2074,type,
    bG661: $o > $o ).

tff(func_def_2075,type,
    bG662: $o > $o ).

tff(func_def_2076,type,
    bG663: $o > $o ).

tff(func_def_2077,type,
    bG664: $o > $o ).

tff(func_def_2078,type,
    bG665: $o > $o ).

tff(func_def_2079,type,
    bG666: $o > $o ).

tff(func_def_2080,type,
    bG667: $o > $o ).

tff(func_def_2081,type,
    bG668: $o > $o ).

tff(func_def_2082,type,
    bG669: $o > $o ).

tff(func_def_2083,type,
    bG670: $o > $o ).

tff(func_def_2084,type,
    bG671: $o > $o ).

tff(func_def_2085,type,
    bG672: $o > $o ).

tff(func_def_2086,type,
    bG673: $o > $o ).

tff(func_def_2087,type,
    iG674: 
      !>[X0: $tType] : ( ( nat * fun(nat,X0) * X0 ) > X0 ) ).

tff(func_def_2088,type,
    lG675: ( nat * nat ) > nat ).

tff(func_def_2089,type,
    iG676: ( nat * nat ) > nat ).

tff(func_def_2090,type,
    lG677: ( nat * nat * nat ) > nat ).

tff(func_def_2091,type,
    iG678: ( nat * nat ) > nat ).

tff(func_def_2092,type,
    iG679: ( nat * nat * nat * list(vEBT_VEBT) * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_2093,type,
    iG680: ( list(vEBT_VEBT) * nat * nat * nat * nat * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_2094,type,
    bG681: $o > $o ).

tff(func_def_2095,type,
    bG682: $o > $o ).

tff(func_def_2096,type,
    bG683: $o > $o ).

tff(func_def_2097,type,
    bG684: $o > $o ).

tff(func_def_2098,type,
    bG685: $o > $o ).

tff(func_def_2099,type,
    bG686: $o > $o ).

tff(func_def_2100,type,
    iG687: ( nat * $o * $o ) > vEBT_VEBT ).

tff(func_def_2101,type,
    iG688: ( nat * $o * $o ) > vEBT_VEBT ).

tff(func_def_2102,type,
    bG689: $o > $o ).

tff(func_def_2103,type,
    bG690: $o > $o ).

tff(func_def_2104,type,
    iG691: ( nat * nat * vEBT_VEBT * list(vEBT_VEBT) * option(product_prod(nat,nat)) ) > vEBT_VEBT ).

tff(func_def_2105,type,
    bG692: $o > $o ).

tff(func_def_2106,type,
    bG693: $o > $o ).

tff(func_def_2107,type,
    bG694: $o > $o ).

tff(func_def_2108,type,
    bG695: $o > $o ).

tff(func_def_2109,type,
    bG696: $o > $o ).

tff(func_def_2110,type,
    bG697: $o > $o ).

tff(func_def_2111,type,
    lG698: ( nat * nat ) > nat ).

tff(func_def_2112,type,
    bG706: $o > $o ).

tff(func_def_2113,type,
    bG707: $o > $o ).

tff(func_def_2114,type,
    bG708: $o > $o ).

tff(func_def_2115,type,
    bG709: $o > $o ).

tff(func_def_2116,type,
    lG710: ( nat * nat ) > nat ).

tff(func_def_2117,type,
    iG711: ( list(vEBT_VEBT) * nat * nat ) > $o ).

tff(func_def_2118,type,
    iG712: ( nat * nat * nat * list(vEBT_VEBT) ) > $o ).

tff(func_def_2119,type,
    iG713: ( nat * nat * nat * nat * list(vEBT_VEBT) ) > $o ).

tff(func_def_2120,type,
    iG714: ( nat * nat * nat * nat * list(vEBT_VEBT) ) > $o ).

tff(func_def_2121,type,
    iG715: ( nat * nat * nat * nat * list(vEBT_VEBT) ) > $o ).

tff(func_def_2122,type,
    bG716: $o > $o ).

tff(func_def_2123,type,
    bG717: $o > $o ).

tff(func_def_2124,type,
    bG718: $o > $o ).

tff(func_def_2125,type,
    bG719: $o > $o ).

tff(func_def_2126,type,
    iG720: ( nat * $o ) > $o ).

tff(func_def_2127,type,
    iG721: ( nat * $o * $o ) > $o ).

tff(func_def_2128,type,
    bG722: $o > $o ).

tff(func_def_2129,type,
    bG723: $o > $o ).

tff(func_def_2130,type,
    lG724: ( nat * nat ) > nat ).

tff(func_def_2131,type,
    bG725: ( nat * nat * list(vEBT_VEBT) ) > $o ).

tff(func_def_2132,type,
    iG726: ( list(vEBT_VEBT) * nat * nat ) > $o ).

tff(func_def_2133,type,
    bG727: $o > $o ).

tff(func_def_2134,type,
    bG728: $o > $o ).

tff(func_def_2135,type,
    bG729: $o > $o ).

tff(func_def_2136,type,
    bG730: $o > $o ).

tff(func_def_2137,type,
    iG731: ( nat * $o ) > $o ).

tff(func_def_2138,type,
    iG732: ( nat * $o * $o ) > $o ).

tff(func_def_2139,type,
    bG733: $o > $o ).

tff(func_def_2140,type,
    bG734: $o > $o ).

tff(func_def_2141,type,
    lG735: ( nat * nat ) > nat ).

tff(func_def_2142,type,
    bG739: $o > $o ).

tff(func_def_2143,type,
    bG740: $o > $o ).

tff(func_def_2144,type,
    bG741: $o > $o ).

tff(func_def_2145,type,
    bG742: $o > $o ).

tff(func_def_2146,type,
    lG743: ( nat * nat ) > nat ).

tff(func_def_2147,type,
    bG747: $o > $o ).

tff(func_def_2148,type,
    bG748: $o > $o ).

tff(func_def_2149,type,
    bG749: $o > $o ).

tff(func_def_2150,type,
    bG750: $o > $o ).

tff(func_def_2151,type,
    iG751: 
      !>[X0: $tType] : ( ( set(X0) * X0 * set(X0) ) > set(X0) ) ).

tff(func_def_2152,type,
    iG752: 
      !>[X0: $tType] : ( ( set(X0) * X0 * set(X0) ) > set(X0) ) ).

tff(func_def_2153,type,
    lG753: ( nat * nat ) > nat ).

tff(func_def_2154,type,
    bG761: $o > $o ).

tff(func_def_2155,type,
    bG762: $o > $o ).

tff(func_def_2156,type,
    bG763: $o > $o ).

tff(func_def_2157,type,
    bG764: $o > $o ).

tff(func_def_2158,type,
    lG765: ( nat * nat ) > nat ).

tff(func_def_2159,type,
    bG766: ( nat * nat * list(vEBT_VEBT) ) > $o ).

tff(func_def_2160,type,
    iG767: ( list(vEBT_VEBT) * nat * nat ) > $o ).

tff(func_def_2161,type,
    lG768: ( nat * nat ) > nat ).

tff(func_def_2162,type,
    bG770: $o > $o ).

tff(func_def_2163,type,
    bG771: $o > $o ).

tff(func_def_2164,type,
    bG772: $o > $o ).

tff(func_def_2165,type,
    bG773: $o > $o ).

tff(func_def_2166,type,
    lG774: ( nat * nat ) > nat ).

tff(func_def_2167,type,
    lG776: ( nat * nat ) > nat ).

tff(func_def_2168,type,
    bG778: $o > $o ).

tff(func_def_2169,type,
    bG779: $o > $o ).

tff(func_def_2170,type,
    bG780: $o > $o ).

tff(func_def_2171,type,
    bG781: $o > $o ).

tff(func_def_2172,type,
    lG782: ( nat * nat ) > nat ).

tff(func_def_2173,type,
    lG784: ( nat * nat ) > nat ).

tff(func_def_2174,type,
    iG786: ( nat * nat ) > nat ).

tff(func_def_2175,type,
    iG787: ( nat * nat ) > nat ).

tff(func_def_2176,type,
    iG790: 
      !>[X0: $tType] : ( ( X0 * X0 ) > X0 ) ).

tff(func_def_2177,type,
    iG791: 
      !>[X0: $tType] : ( X0 > X0 ) ).

tff(func_def_2178,type,
    lG792: nat > nat ).

tff(func_def_2179,type,
    lG793: nat > nat ).

tff(func_def_2180,type,
    iG794: nat > vEBT_VEBT ).

tff(func_def_2181,type,
    iG795: 
      !>[X0: $tType] : ( ( nat * X0 ) > set(X0) ) ).

tff(func_def_2182,type,
    lG796: nat > nat ).

tff(func_def_2183,type,
    lG797: nat > nat ).

tff(func_def_2184,type,
    iG798: nat > vEBT_VEBT ).

tff(func_def_2185,type,
    iG799: 
      !>[X0: $tType] : ( ( nat * X0 ) > X0 ) ).

tff(func_def_2186,type,
    lG800: nat > nat ).

tff(func_def_2187,type,
    lG801: nat > nat ).

tff(func_def_2188,type,
    iG802: nat > vEBT_VEBT ).

tff(func_def_2189,type,
    bG803: 
      !>[X0: $tType] : ( X0 > $o ) ).

tff(func_def_2190,type,
    iG804: 
      !>[X0: $tType] : ( ( nat * X0 ) > X0 ) ).

tff(func_def_2191,type,
    bG805: $o > $o ).

tff(func_def_2192,type,
    bG806: $o > $o ).

tff(func_def_2193,type,
    bG807: nat > $o ).

tff(func_def_2194,type,
    iG808: 
      !>[X0: $tType] : ( ( num * num ) > X0 ) ).

tff(func_def_2195,type,
    iG809: 
      !>[X0: $tType] : ( ( num * num ) > X0 ) ).

tff(func_def_2196,type,
    iG810: 
      !>[X0: $tType] : ( ( num * num ) > X0 ) ).

tff(func_def_2197,type,
    bG813: $o > $o ).

tff(func_def_2198,type,
    bG814: $o > $o ).

tff(func_def_2199,type,
    bG815: nat > $o ).

tff(func_def_2200,type,
    bG816: nat > $o ).

tff(func_def_2201,type,
    bG817: $o > $o ).

tff(func_def_2202,type,
    bG818: $o > $o ).

tff(func_def_2203,type,
    iG819: 
      !>[X0: $tType] : ( ( nat * nat ) > fun(X0,X0) ) ).

tff(func_def_2204,type,
    iG820: 
      !>[X0: $tType] : ( ( nat * nat * X0 ) > X0 ) ).

tff(func_def_2205,type,
    iG821: 
      !>[X0: $tType] : ( ( nat * nat * X0 ) > X0 ) ).

tff(func_def_2206,type,
    iG822: 
      !>[X0: $tType] : ( ( nat * nat * X0 ) > X0 ) ).

tff(func_def_2207,type,
    lG823: 
      !>[X0: $tType] : ( num > X0 ) ).

tff(func_def_2208,type,
    lG824: 
      !>[X0: $tType] : ( ( X0 * num ) > X0 ) ).

tff(func_def_2209,type,
    iG827: 
      !>[X0: $tType] : ( ( X0 * X0 * X0 ) > X0 ) ).

tff(func_def_2210,type,
    bG828: 
      !>[X0: $tType] : ( X0 > $o ) ).

tff(func_def_2211,type,
    iG829: 
      !>[X0: $tType] : ( ( X0 * X0 * X0 ) > $o ) ).

tff(func_def_2212,type,
    iG830: 
      !>[X0: $tType] : ( ( X0 * X0 * X0 ) > $o ) ).

tff(func_def_2213,type,
    iG831: 
      !>[X0: $tType] : ( ( X0 * X0 * X0 ) > $o ) ).

tff(func_def_2214,type,
    iG832: 
      !>[X0: $tType] : ( ( X0 * X0 * X0 ) > $o ) ).

tff(func_def_2215,type,
    iG833: 
      !>[X0: $tType] : ( ( X0 * num * X0 ) > $o ) ).

tff(func_def_2216,type,
    iG834: 
      !>[X0: $tType] : ( ( X0 * num * X0 ) > $o ) ).

tff(func_def_2217,type,
    iG835: 
      !>[X0: $tType] : ( ( X0 * num * X0 ) > $o ) ).

tff(func_def_2218,type,
    iG836: 
      !>[X0: $tType] : ( ( X0 * num * X0 ) > $o ) ).

tff(func_def_2219,type,
    iG837: 
      !>[X0: $tType] : ( ( nat * X0 ) > X0 ) ).

tff(func_def_2220,type,
    iG838: ( int * int ) > int ).

tff(func_def_2221,type,
    iG839: ( int * int ) > int ).

tff(func_def_2222,type,
    bG840: $o > $o ).

tff(func_def_2223,type,
    bG841: $o > $o ).

tff(func_def_2224,type,
    iG842: 
      !>[X0: $tType] : ( ( X0 * num * X0 ) > $o ) ).

tff(func_def_2225,type,
    iG843: 
      !>[X0: $tType] : ( ( X0 * num * X0 ) > $o ) ).

tff(func_def_2226,type,
    iG844: 
      !>[X0: $tType] : ( ( X0 * num * X0 ) > $o ) ).

tff(func_def_2227,type,
    iG845: 
      !>[X0: $tType] : ( ( X0 * num * X0 ) > $o ) ).

tff(func_def_2228,type,
    iG846: 
      !>[X0: $tType] : ( nat > X0 ) ).

tff(func_def_2229,type,
    iG847: 
      !>[X0: $tType] : ( ( X0 * nat ) > X0 ) ).

tff(func_def_2230,type,
    bG848: 
      !>[X0: $tType] : ( ( nat * nat ) > $o ) ).

tff(func_def_2231,type,
    iG849: 
      !>[X0: $tType] : ( ( num * num ) > product_prod(X0,X0) ) ).

tff(func_def_2232,type,
    iG850: 
      !>[X0: $tType] : ( ( num * num ) > product_prod(X0,X0) ) ).

tff(func_def_2233,type,
    iG851: 
      !>[X0: $tType] : ( ( num * num ) > product_prod(X0,X0) ) ).

tff(func_def_2234,type,
    iG852: ( nat * nat ) > product_prod(nat,nat) ).

tff(func_def_2235,type,
    bG853: $o > $o ).

tff(func_def_2236,type,
    bG854: int > $o ).

tff(func_def_2237,type,
    bG855: ( int * int ) > $o ).

tff(func_def_2238,type,
    bG856: ( int * int ) > $o ).

tff(func_def_2239,type,
    iG857: ( int * int ) > int ).

tff(func_def_2240,type,
    bG858: ( int * int ) > $o ).

tff(func_def_2241,type,
    bG859: ( int * int ) > $o ).

tff(func_def_2242,type,
    iG860: ( int * int ) > int ).

tff(func_def_2243,type,
    bG861: ( int * int ) > $o ).

tff(func_def_2244,type,
    iG862: ( int * int ) > int ).

tff(func_def_2245,type,
    iG863: ( int * int ) > int ).

tff(func_def_2246,type,
    iG864: ( int * int ) > int ).

tff(func_def_2247,type,
    bG865: ( int * int ) > $o ).

tff(func_def_2248,type,
    bG866: ( int * int ) > $o ).

tff(func_def_2249,type,
    iG867: ( int * int ) > int ).

tff(func_def_2250,type,
    bG868: ( int * int ) > $o ).

tff(func_def_2251,type,
    bG869: ( int * int ) > $o ).

tff(func_def_2252,type,
    iG870: ( int * int ) > int ).

tff(func_def_2253,type,
    lG871: 
      !>[X0: $tType] : ( int > X0 ) ).

tff(func_def_2254,type,
    iG872: 
      !>[X0: $tType] : ( int > X0 ) ).

tff(func_def_2255,type,
    iG873: 
      !>[X0: $tType] : ( int > X0 ) ).

tff(func_def_2256,type,
    iG874: 
      !>[X0: $tType] : ( int > X0 ) ).

tff(func_def_2257,type,
    bG875: ( nat * int ) > $o ).

tff(func_def_2258,type,
    bG876: 
      !>[X0: $tType] : ( X0 > $o ) ).

tff(func_def_2259,type,
    iG877: 
      !>[X0: $tType] : ( ( nat * X0 * X0 ) > $o ) ).

tff(func_def_2260,type,
    bG878: 
      !>[X0: $tType] : ( X0 > $o ) ).

tff(func_def_2261,type,
    iG879: 
      !>[X0: $tType] : ( ( nat * X0 ) > $o ) ).

tff(func_def_2262,type,
    iG880: ( nat * nat ) > nat ).

tff(func_def_2263,type,
    bG881: ( nat * nat ) > $o ).

tff(func_def_2264,type,
    iG882: ( int * int ) > int ).

tff(func_def_2265,type,
    iG883: ( int * int ) > int ).

tff(func_def_2266,type,
    iG884: ( int * int ) > int ).

tff(func_def_2267,type,
    bG885: 
      !>[X0: $tType] : ( X0 > $o ) ).

tff(func_def_2268,type,
    bG886: 
      !>[X0: $tType] : ( X0 > $o ) ).

tff(func_def_2269,type,
    bG887: ( int * int ) > $o ).

tff(func_def_2270,type,
    bG888: nat > $o ).

tff(func_def_2271,type,
    bG889: nat > $o ).

tff(func_def_2272,type,
    bG890: ( nat * nat ) > $o ).

tff(func_def_2273,type,
    iG891: ( nat * nat ) > nat ).

tff(func_def_2274,type,
    iG892: ( nat * nat ) > nat ).

tff(func_def_2275,type,
    bG893: $o > $o ).

tff(func_def_2276,type,
    bG894: $o > $o ).

tff(func_def_2277,type,
    iG895: int > real ).

tff(func_def_2278,type,
    iG896: 
      !>[X0: $tType] : ( nat > X0 ) ).

tff(func_def_2279,type,
    iG897: 
      !>[X0: $tType] : ( ( X0 * nat * nat ) > X0 ) ).

tff(func_def_2280,type,
    iG898: 
      !>[X0: $tType] : ( ( nat * nat * X0 ) > X0 ) ).

tff(func_def_2281,type,
    iG899: 
      !>[X0: $tType] : ( ( nat * nat * fun(nat,X0) ) > X0 ) ).

tff(func_def_2282,type,
    iG900: 
      !>[X0: $tType] : ( ( set(nat) * fun(nat,X0) ) > X0 ) ).

tff(func_def_2283,type,
    iG901: 
      !>[X0: $tType] : ( ( set(nat) * fun(nat,X0) * fun(nat,X0) ) > X0 ) ).

tff(func_def_2284,type,
    iG902: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * X1 * fun(X1,X0) ) > X0 ) ).

tff(func_def_2285,type,
    iG903: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * X1 * fun(X1,X0) ) > X0 ) ).

tff(func_def_2286,type,
    iG904: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * X1 * fun(X1,X0) * fun(X1,X0) ) > X0 ) ).

tff(func_def_2287,type,
    iG905: 
      !>[X0: $tType] : ( ( nat * nat * fun(nat,X0) ) > X0 ) ).

tff(func_def_2288,type,
    iG906: 
      !>[X0: $tType] : ( ( X0 * nat * nat ) > X0 ) ).

tff(func_def_2289,type,
    iG907: 
      !>[X0: $tType] : ( ( set(X0) * X0 * fun(X0,nat) ) > nat ) ).

tff(func_def_2290,type,
    iG908: 
      !>[X0: $tType] : ( ( X0 * X0 ) > set(X0) ) ).

tff(func_def_2291,type,
    iG909: 
      !>[X0: $tType] : ( ( X0 * nat ) > X0 ) ).

tff(func_def_2292,type,
    iG910: nat > real ).

tff(func_def_2293,type,
    iG911: nat > real ).

tff(func_def_2294,type,
    iG912: ( nat * nat ) > nat ).

tff(func_def_2295,type,
    iG913: ( nat * nat ) > nat ).

tff(func_def_2296,type,
    iG914: 
      !>[X0: $tType] : ( ( nat * X0 ) > X0 ) ).

tff(func_def_2297,type,
    iG915: 
      !>[X0: $tType] : ( ( nat * nat * fun(nat,X0) ) > X0 ) ).

tff(func_def_2298,type,
    iG916: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * X1 * fun(X1,X0) ) > X0 ) ).

tff(func_def_2299,type,
    iG917: 
      !>[X0: $tType] : ( ( nat * nat * X0 * fun(nat,fun(X0,X0)) ) > X0 ) ).

tff(func_def_2300,type,
    iG918: 
      !>[X0: $tType] : ( ( nat * nat * X0 * fun(nat,fun(X0,X0)) ) > X0 ) ).

tff(func_def_2301,type,
    iG919: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * X1 * fun(X1,X0) * fun(X1,X0) ) > X0 ) ).

tff(func_def_2302,type,
    iG920: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * X1 * fun(X1,X0) ) > X0 ) ).

tff(func_def_2303,type,
    iG921: 
      !>[X0: $tType] : ( ( X0 * nat ) > X0 ) ).

tff(func_def_2304,type,
    iG922: 
      !>[X0: $tType] : ( X0 > int ) ).

tff(func_def_2305,type,
    iG923: 
      !>[X0: $tType] : ( ( X0 * X0 ) > X0 ) ).

tff(func_def_2306,type,
    iG924: 
      !>[X0: $tType] : ( ( X0 * X0 ) > int ) ).

tff(func_def_2307,type,
    iG925: ( int * real ) > real ).

tff(func_def_2308,type,
    bG926: ( nat * nat ) > $o ).

tff(func_def_2309,type,
    iG927: ( int * int * nat * nat ) > int ).

tff(func_def_2310,type,
    iG928: ( int * int * nat * nat ) > int ).

tff(func_def_2311,type,
    bG929: ( int * int ) > $o ).

tff(func_def_2312,type,
    iG930: ( int * int ) > int ).

tff(func_def_2313,type,
    iG931: ( int * int ) > int ).

tff(func_def_2314,type,
    iG932: ( nat * nat ) > nat ).

tff(func_def_2315,type,
    iG933: ( int * real ) > real ).

tff(func_def_2316,type,
    bG934: nat > $o ).

tff(func_def_2317,type,
    bG935: nat > $o ).

tff(func_def_2318,type,
    bG936: nat > $o ).

tff(func_def_2319,type,
    bG937: nat > $o ).

tff(func_def_2320,type,
    iG938: ( nat * nat ) > nat ).

tff(func_def_2321,type,
    iG939: ( nat * nat ) > nat ).

tff(func_def_2322,type,
    bG940: ( nat * nat ) > $o ).

tff(func_def_2323,type,
    bG941: 
      !>[X0: $tType] : ( X0 > $o ) ).

tff(func_def_2324,type,
    bG942: 
      !>[X0: $tType] : ( X0 > $o ) ).

tff(func_def_2325,type,
    bG943: 
      !>[X0: $tType] : ( X0 > $o ) ).

tff(func_def_2326,type,
    bG944: 
      !>[X0: $tType] : ( X0 > $o ) ).

tff(func_def_2327,type,
    bG945: ( int * int ) > $o ).

tff(func_def_2328,type,
    iG946: ( int * int ) > int ).

tff(func_def_2329,type,
    iG947: ( int * int ) > int ).

tff(func_def_2330,type,
    iG948: ( int * int ) > int ).

tff(func_def_2331,type,
    iG949: ( int * int ) > int ).

tff(func_def_2332,type,
    bG950: int > $o ).

tff(func_def_2333,type,
    iG951: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * X1 * fun(X1,X0) ) > X0 ) ).

tff(func_def_2334,type,
    iG952: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * X1 * fun(X1,X0) ) > X0 ) ).

tff(func_def_2335,type,
    iG953: 
      !>[X0: $tType] : ( ( nat * nat * fun(nat,X0) ) > X0 ) ).

tff(func_def_2336,type,
    iG954: 
      !>[X0: $tType] : ( ( nat * nat * fun(nat,X0) ) > X0 ) ).

tff(func_def_2337,type,
    iG955: ( nat * nat ) > set(nat) ).

tff(func_def_2338,type,
    iG956: 
      !>[X0: $tType] : ( ( nat * nat * fun(nat,X0) ) > X0 ) ).

tff(func_def_2339,type,
    iG957: ( num * nat ) > set(nat) ).

tff(func_def_2340,type,
    iG958: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * X1 * fun(X1,X0) ) > X0 ) ).

tff(func_def_2341,type,
    lG959: 
      !>[X0: $tType] : ( ( nat * X0 ) > X0 ) ).

tff(func_def_2342,type,
    iG960: 
      !>[X0: $tType] : ( ( nat * X0 ) > X0 ) ).

tff(func_def_2343,type,
    iG961: complex > real ).

tff(func_def_2344,type,
    iG962: complex > real ).

tff(func_def_2345,type,
    bG963: $o > $o ).

tff(func_def_2346,type,
    bG964: $o > $o ).

tff(func_def_2347,type,
    iG965: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > nat ) ).

tff(func_def_2348,type,
    iG966: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > nat ) ).

tff(func_def_2349,type,
    iG967: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * X1 * X0 * fun(X1,X0) ) > X0 ) ).

tff(func_def_2350,type,
    lG968: int > code_integer ).

tff(func_def_2351,type,
    iG969: int > code_integer ).

tff(func_def_2352,type,
    iG970: int > code_integer ).

tff(func_def_2353,type,
    iG971: int > code_integer ).

tff(func_def_2354,type,
    bG972: code_integer > $o ).

tff(func_def_2355,type,
    iG973: code_integer > num ).

tff(func_def_2356,type,
    iG974: code_integer > product_prod(code_integer,$o) ).

tff(func_def_2357,type,
    iG975: code_integer > nat ).

tff(func_def_2358,type,
    iG976: code_integer > int ).

tff(func_def_2359,type,
    iG977: code_integer > int ).

tff(func_def_2360,type,
    iG978: ( code_integer * code_integer ) > product_prod(code_integer,code_integer) ).

tff(func_def_2361,type,
    iG979: ( code_integer * code_integer ) > product_prod(code_integer,code_integer) ).

tff(func_def_2362,type,
    iG980: ( code_integer * code_integer ) > product_prod(code_integer,code_integer) ).

tff(func_def_2363,type,
    iG981: ( code_integer * code_integer ) > product_prod(code_integer,code_integer) ).

tff(func_def_2364,type,
    iG982: ( code_integer * code_integer ) > product_prod(code_integer,code_integer) ).

tff(func_def_2365,type,
    lG983: num > nat ).

tff(func_def_2366,type,
    lG984: num > nat ).

tff(func_def_2367,type,
    iG985: 
      !>[X0: $tType] : ( ( nat * X0 ) > X0 ) ).

tff(func_def_2368,type,
    bG986: nat > $o ).

tff(func_def_2369,type,
    iG987: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_2370,type,
    iG988: ( nat * nat ) > product_prod(nat,nat) ).

tff(func_def_2371,type,
    iG989: ( nat * nat ) > product_prod(nat,nat) ).

tff(func_def_2372,type,
    iG990: ( nat * nat ) > product_prod(int,int) ).

tff(func_def_2373,type,
    iG991: ( nat * nat ) > product_prod(int,int) ).

tff(func_def_2374,type,
    iG992: ( nat * nat ) > product_prod(int,int) ).

tff(func_def_2375,type,
    iG993: ( nat * nat ) > product_prod(nat,nat) ).

tff(func_def_2376,type,
    bG994: $o > $o ).

tff(func_def_2377,type,
    bG995: $o > $o ).

tff(func_def_2378,type,
    iG996: $o > option(nat) ).

tff(func_def_2379,type,
    iG997: ( $o * $o ) > option(nat) ).

tff(func_def_2380,type,
    bG998: $o > $o ).

tff(func_def_2381,type,
    bG999: $o > $o ).

tff(func_def_2382,type,
    bG1000: $o > $o ).

tff(func_def_2383,type,
    bG1001: $o > $o ).

tff(func_def_2384,type,
    iG1002: $o > option(nat) ).

tff(func_def_2385,type,
    iG1003: ( $o * $o ) > option(nat) ).

tff(func_def_2386,type,
    bG1004: $o > $o ).

tff(func_def_2387,type,
    bG1005: $o > $o ).

tff(func_def_2388,type,
    bG1006: $o > $o ).

tff(func_def_2389,type,
    bG1007: $o > $o ).

tff(func_def_2390,type,
    bG1008: $o > $o ).

tff(func_def_2391,type,
    bG1009: $o > $o ).

tff(func_def_2392,type,
    bG1010: $o > $o ).

tff(func_def_2393,type,
    bG1011: $o > $o ).

tff(func_def_2394,type,
    bG1012: $o > $o ).

tff(func_def_2395,type,
    bG1013: $o > $o ).

tff(func_def_2396,type,
    iG1014: 
      !>[X0: $tType] : ( ( list(X0) * X0 ) > nat ) ).

tff(func_def_2397,type,
    iG1015: ( code_integer * code_integer ) > product_prod(code_integer,code_integer) ).

tff(func_def_2398,type,
    iG1016: ( code_integer * code_integer ) > product_prod(code_integer,code_integer) ).

tff(func_def_2399,type,
    iG1017: ( code_integer * code_integer ) > product_prod(code_integer,code_integer) ).

tff(func_def_2400,type,
    iG1018: nat > num ).

tff(func_def_2401,type,
    iG1019: 
      !>[X0: $tType] : ( nat > X0 ) ).

tff(func_def_2402,type,
    iG1020: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * X1 * fun(X1,X0) ) > X0 ) ).

tff(func_def_2403,type,
    iG1021: ( nat * nat ) > set(nat) ).

tff(func_def_2404,type,
    iG1022: ( nat * nat * nat ) > set(nat) ).

tff(func_def_2405,type,
    iG1023: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * X0 ) > set(X0) ) ).

tff(func_def_2406,type,
    iG1024: 
      !>[X0: $tType,X1: $tType] : ( ( option(X1) * fun(X1,X0) * X0 ) > X0 ) ).

tff(func_def_2407,type,
    iG1025: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * X0 ) > X0 ) ).

tff(func_def_2408,type,
    iG1026: 
      !>[X0: $tType] : ( ( X0 * X0 * X0 ) > set(X0) ) ).

tff(func_def_2409,type,
    iG1027: 
      !>[X0: $tType] : ( ( X0 * X0 * X0 ) > set(X0) ) ).

tff(func_def_2410,type,
    lG1028: num > code_integer ).

tff(func_def_2411,type,
    iG1029: ( num * nat ) > option(num) ).

tff(func_def_2412,type,
    iG1030: 
      !>[X0: $tType] : ( ( X0 * X0 * X0 ) > set(X0) ) ).

tff(func_def_2413,type,
    iG1031: 
      !>[X0: $tType] : ( ( X0 * X0 * X0 ) > set(X0) ) ).

tff(func_def_2414,type,
    iG1032: 
      !>[X0: $tType] : ( ( X0 * X0 * X0 * X0 ) > set(X0) ) ).

tff(func_def_2415,type,
    iG1033: 
      !>[X0: $tType] : ( ( X0 * X0 * X0 * X0 ) > set(X0) ) ).

tff(func_def_2416,type,
    iG1034: 
      !>[X0: $tType] : ( ( X0 * X0 * X0 * X0 ) > set(X0) ) ).

tff(func_def_2417,type,
    iG1035: 
      !>[X0: $tType] : ( ( X0 * X0 * X0 * X0 ) > set(X0) ) ).

tff(func_def_2418,type,
    iG1036: 
      !>[X0: $tType] : ( ( X0 * X0 * X0 * X0 ) > set(X0) ) ).

tff(func_def_2419,type,
    iG1037: 
      !>[X0: $tType] : ( ( X0 * X0 * X0 * X0 ) > set(X0) ) ).

tff(func_def_2420,type,
    iG1038: 
      !>[X0: $tType] : ( ( X0 * X0 * X0 * X0 ) > set(X0) ) ).

tff(func_def_2421,type,
    iG1039: 
      !>[X0: $tType] : ( ( X0 * X0 * X0 * X0 ) > set(X0) ) ).

tff(func_def_2422,type,
    iG1040: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * set(X0) ) > set(X0) ) ).

tff(func_def_2423,type,
    iG1041: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,set(X0)) * X0 ) > set(X0) ) ).

tff(func_def_2424,type,
    iG1042: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * set(X0) * fun(X1,set(X0)) ) > set(X0) ) ).

tff(func_def_2425,type,
    iG1043: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,set(X0)) * set(X0) ) > set(X0) ) ).

tff(func_def_2426,type,
    bG1044: $o > $o ).

tff(func_def_2427,type,
    iG1045: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,set(X0)) * X0 ) > set(X0) ) ).

tff(func_def_2428,type,
    iG1046: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * set(X0) * fun(X1,set(X0)) ) > set(X0) ) ).

tff(func_def_2429,type,
    iG1047: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,set(X0)) * set(X0) ) > set(X0) ) ).

tff(func_def_2430,type,
    iG1048: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,set(X0)) * set(X0) ) > set(X0) ) ).

tff(func_def_2431,type,
    iG1049: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * set(X0) * fun(X1,set(X0)) ) > set(X0) ) ).

tff(func_def_2432,type,
    iG1050: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,set(X0)) * set(X0) ) > set(X0) ) ).

tff(func_def_2433,type,
    bG1051: $o > $o ).

tff(func_def_2434,type,
    iG1052: 
      !>[X0: $tType] : ( $o > set(X0) ) ).

tff(func_def_2435,type,
    iG1053: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * set(X0) ) > set(X0) ) ).

tff(func_def_2436,type,
    iG1054: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * set(X0) * fun(X1,set(X0)) ) > set(X0) ) ).

tff(func_def_2437,type,
    iG1055: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,set(X0)) * set(X0) ) > set(X0) ) ).

tff(func_def_2438,type,
    iG1056: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * set(X0) * fun(X1,set(X0)) ) > set(X0) ) ).

tff(func_def_2439,type,
    iG1057: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,set(X0)) * set(X0) ) > set(X0) ) ).

tff(func_def_2440,type,
    iG1058: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * X0 ) > X0 ) ).

tff(func_def_2441,type,
    iG1059: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * set(X0) * fun(X1,set(X0)) ) > set(X0) ) ).

tff(func_def_2442,type,
    bG1060: $o > $o ).

tff(func_def_2443,type,
    iG1061: 
      !>[X0: $tType,X1: $tType] : ( $o > set(product_prod(X1,X0)) ) ).

tff(func_def_2444,type,
    iG1062: ( nat * real ) > real ).

tff(func_def_2445,type,
    bG1063: 
      !>[X0: $tType] : ( X0 > $o ) ).

tff(func_def_2446,type,
    bG1064: $o > $o ).

tff(func_def_2447,type,
    bG1065: $o > $o ).

tff(func_def_2448,type,
    bG1066: $o > $o ).

tff(func_def_2449,type,
    bG1067: $o > $o ).

tff(func_def_2450,type,
    bG1068: $o > $o ).

tff(func_def_2451,type,
    bG1069: $o > $o ).

tff(func_def_2452,type,
    bG1070: $o > $o ).

tff(func_def_2453,type,
    bG1071: $o > $o ).

tff(func_def_2454,type,
    bG1072: $o > $o ).

tff(func_def_2455,type,
    bG1073: $o > $o ).

tff(func_def_2456,type,
    bG1074: $o > $o ).

tff(func_def_2457,type,
    bG1075: $o > $o ).

tff(func_def_2458,type,
    bG1076: $o > $o ).

tff(func_def_2459,type,
    bG1077: $o > $o ).

tff(func_def_2460,type,
    bG1078: $o > $o ).

tff(func_def_2461,type,
    bG1079: $o > $o ).

tff(func_def_2462,type,
    bG1080: $o > $o ).

tff(func_def_2463,type,
    bG1081: $o > $o ).

tff(func_def_2464,type,
    bG1082: $o > $o ).

tff(func_def_2465,type,
    bG1083: $o > $o ).

tff(func_def_2466,type,
    bG1084: $o > $o ).

tff(func_def_2467,type,
    bG1085: $o > $o ).

tff(func_def_2468,type,
    bG1086: $o > $o ).

tff(func_def_2469,type,
    bG1087: $o > $o ).

tff(func_def_2470,type,
    bG1088: $o > $o ).

tff(func_def_2471,type,
    bG1089: $o > $o ).

tff(func_def_2472,type,
    bG1090: $o > $o ).

tff(func_def_2473,type,
    bG1091: $o > $o ).

tff(func_def_2474,type,
    bG1092: $o > $o ).

tff(func_def_2475,type,
    bG1093: $o > $o ).

tff(func_def_2476,type,
    bG1094: $o > $o ).

tff(func_def_2477,type,
    bG1095: $o > $o ).

tff(func_def_2478,type,
    bG1096: $o > $o ).

tff(func_def_2479,type,
    bG1097: $o > $o ).

tff(func_def_2480,type,
    bG1098: $o > $o ).

tff(func_def_2481,type,
    bG1099: $o > $o ).

tff(func_def_2482,type,
    bG1100: $o > $o ).

tff(func_def_2483,type,
    bG1101: $o > $o ).

tff(func_def_2484,type,
    bG1102: $o > $o ).

tff(func_def_2485,type,
    bG1103: $o > $o ).

tff(func_def_2486,type,
    iG1104: 
      !>[X0: $tType,X1: $tType] : ( ( X0 * fun(X0,X1) * X0 * list(X0) ) > list(X0) ) ).

tff(func_def_2487,type,
    iG1105: 
      !>[X0: $tType] : ( ( list(X0) * X0 ) > list(X0) ) ).

tff(func_def_2488,type,
    iG1106: 
      !>[X0: $tType] : ( ( X0 * X0 * list(X0) ) > nat ) ).

tff(func_def_2489,type,
    lG1107: 
      !>[X0: $tType] : ( list(X0) > set(set(X0)) ) ).

tff(func_def_2490,type,
    iG1108: 
      !>[X0: $tType] : ( ( list(X0) * X0 * list(X0) ) > list(X0) ) ).

tff(func_def_2491,type,
    iG1109: 
      !>[X0: $tType] : ( ( list(X0) * nat * list(X0) ) > X0 ) ).

tff(func_def_2492,type,
    iG1110: 
      !>[X0: $tType] : ( ( list(X0) * nat * X0 * list(X0) ) > list(X0) ) ).

tff(func_def_2493,type,
    iG1112: 
      !>[X0: $tType] : ( ( X0 * fun(X0,$o) * list(X0) ) > option(product_prod(list(X0),product_prod(X0,list(X0)))) ) ).

tff(func_def_2494,type,
    bG1113: $o > $o ).

tff(func_def_2495,type,
    bG1114: $o > $o ).

tff(func_def_2496,type,
    bG1115: $o > $o ).

tff(func_def_2497,type,
    bG1116: $o > $o ).

tff(func_def_2498,type,
    bG1117: $o > $o ).

tff(func_def_2499,type,
    iG1118: set(nat) > nat ).

tff(func_def_2500,type,
    iG1119: ( nat * nat ) > nat ).

tff(func_def_2501,type,
    iG1120: 
      !>[X0: $tType] : ( ( X0 * set(X0) ) > X0 ) ).

tff(func_def_2502,type,
    iG1121: 
      !>[X0: $tType] : ( ( X0 * set(X0) ) > X0 ) ).

tff(func_def_2503,type,
    lG1122: product_prod(int,int) > int ).

tff(func_def_2504,type,
    lG1123: product_prod(int,int) > int ).

tff(func_def_2505,type,
    iG1124: product_prod(int,int) > product_prod(int,int) ).

tff(func_def_2506,type,
    iG1125: product_prod(int,int) > product_prod(int,int) ).

tff(func_def_2507,type,
    lG1126: nat > nat ).

tff(func_def_2508,type,
    lG1127: nat > nat ).

tff(func_def_2509,type,
    bG1128: ( vEBT_VEBT * list(vEBT_VEBT) ) > $o ).

tff(func_def_2510,type,
    bG1129: $o > $o ).

tff(func_def_2511,type,
    bG1130: $o > $o ).

tff(func_def_2512,type,
    lG1131: nat > nat ).

tff(func_def_2513,type,
    lG1132: nat > nat ).

tff(func_def_2514,type,
    bG1133: ( vEBT_VEBT * list(vEBT_VEBT) ) > $o ).

tff(func_def_2515,type,
    lG1134: nat > nat ).

tff(func_def_2516,type,
    lG1135: nat > nat ).

tff(func_def_2517,type,
    bG1136: ( vEBT_VEBT * list(vEBT_VEBT) ) > $o ).

tff(func_def_2518,type,
    bG1137: $o > $o ).

tff(func_def_2519,type,
    bG1138: $o > $o ).

tff(func_def_2520,type,
    lG1139: nat > nat ).

tff(func_def_2521,type,
    lG1140: nat > nat ).

tff(func_def_2522,type,
    bG1141: ( vEBT_VEBT * list(vEBT_VEBT) ) > $o ).

tff(func_def_2523,type,
    bG1142: $o > $o ).

tff(func_def_2524,type,
    bG1143: $o > $o ).

tff(func_def_2525,type,
    lG1144: nat > nat ).

tff(func_def_2526,type,
    lG1145: nat > nat ).

tff(func_def_2527,type,
    bG1146: ( vEBT_VEBT * list(vEBT_VEBT) ) > $o ).

tff(func_def_2528,type,
    bG1147: $o > $o ).

tff(func_def_2529,type,
    bG1148: $o > $o ).

tff(func_def_2530,type,
    bG1149: $o > $o ).

tff(func_def_2531,type,
    bG1150: $o > $o ).

tff(func_def_2532,type,
    lG1151: nat > nat ).

tff(func_def_2533,type,
    lG1152: nat > nat ).

tff(func_def_2534,type,
    bG1153: ( vEBT_VEBT * list(vEBT_VEBT) ) > $o ).

tff(func_def_2535,type,
    bG1154: $o > $o ).

tff(func_def_2536,type,
    bG1155: $o > $o ).

tff(func_def_2537,type,
    bG1156: $o > $o ).

tff(func_def_2538,type,
    bG1157: $o > $o ).

tff(func_def_2539,type,
    lG1158: nat > nat ).

tff(func_def_2540,type,
    lG1159: nat > nat ).

tff(func_def_2541,type,
    bG1160: ( vEBT_VEBT * list(vEBT_VEBT) ) > $o ).

tff(func_def_2542,type,
    bG1161: $o > $o ).

tff(func_def_2543,type,
    bG1162: $o > $o ).

tff(func_def_2544,type,
    bG1163: $o > $o ).

tff(func_def_2545,type,
    bG1164: $o > $o ).

tff(func_def_2546,type,
    iG1165: ( nat * nat ) > nat ).

tff(func_def_2547,type,
    iG1166: 
      !>[X0: $tType] : ( ( X0 * set(X0) ) > X0 ) ).

tff(func_def_2548,type,
    iG1167: 
      !>[X0: $tType] : ( ( X0 * set(X0) ) > X0 ) ).

tff(func_def_2549,type,
    iG1168: 
      !>[X0: $tType] : ( ( X0 * set(X0) ) > X0 ) ).

tff(func_def_2550,type,
    iG1169: 
      !>[X0: $tType] : ( ( X0 * set(X0) ) > X0 ) ).

tff(func_def_2551,type,
    iG1170: ( int * int ) > list(int) ).

tff(func_def_2552,type,
    iG1171: ( int * int ) > list(int) ).

tff(func_def_2553,type,
    iG1172: ( num * num ) > list(int) ).

tff(func_def_2554,type,
    iG1173: ( num * num ) > list(int) ).

tff(func_def_2555,type,
    iG1174: ( num * num ) > list(int) ).

tff(func_def_2556,type,
    iG1175: ( num * num ) > list(int) ).

tff(func_def_2557,type,
    iG1176: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * X1 * set(X0) ) > set(X0) ) ).

tff(func_def_2558,type,
    iG1177: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * X1 * fun(X1,X0) * X0 ) > set(X0) ) ).

tff(func_def_2559,type,
    iG1178: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * X1 * fun(X1,option(X0)) * option(X0) ) > fun(X1,option(X0)) ) ).

tff(func_def_2560,type,
    iG1179: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * X1 * fun(X1,option(X0)) ) > fun(X1,option(X0)) ) ).

tff(func_def_2561,type,
    iG1180: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * X1 * fun(X1,option(X0)) ) > option(X0) ) ).

tff(func_def_2562,type,
    iG1181: 
      !>[X0: $tType,X1: $tType] : ( ( option(X1) * fun(X0,option(X1)) * X0 ) > set(X0) ) ).

tff(func_def_2563,type,
    iG1182: 
      !>[X0: $tType] : ( ( set(nat) * X0 ) > list(X0) ) ).

tff(func_def_2564,type,
    iG1183: 
      !>[X0: $tType,X1: $tType] : ( ( list(X1) * list(X0) * X1 * X0 * fun(X1,option(X0)) ) > fun(X1,option(X0)) ) ).

tff(func_def_2565,type,
    iG1185: 
      !>[X0: $tType] : ( ( num * num ) > X0 ) ).

tff(func_def_2566,type,
    iG1186: 
      !>[X0: $tType] : ( ( num * num ) > X0 ) ).

tff(func_def_2567,type,
    iG1187: 
      !>[X0: $tType] : ( ( num * num ) > X0 ) ).

tff(func_def_2568,type,
    iG1188: 
      !>[X0: $tType] : ( ( num * num ) > X0 ) ).

tff(func_def_2569,type,
    iG1189: 
      !>[X0: $tType] : ( ( X0 * X0 ) > X0 ) ).

tff(func_def_2570,type,
    iG1190: 
      !>[X0: $tType] : ( ( X0 * X0 ) > X0 ) ).

tff(func_def_2571,type,
    iG1191: 
      !>[X0: $tType] : ( ( X0 * X0 * X0 ) > X0 ) ).

tff(func_def_2572,type,
    iG1192: 
      !>[X0: $tType] : ( ( X0 * X0 * X0 ) > X0 ) ).

tff(func_def_2573,type,
    iG1193: 
      !>[X0: $tType] : ( ( X0 * X0 * X0 ) > X0 ) ).

tff(func_def_2574,type,
    iG1194: 
      !>[X0: $tType] : ( ( X0 * X0 * X0 ) > X0 ) ).

tff(func_def_2575,type,
    iG1195: 
      !>[X0: $tType] : ( ( X0 * X0 * X0 ) > X0 ) ).

tff(func_def_2576,type,
    iG1196: 
      !>[X0: $tType] : ( ( X0 * X0 * X0 ) > X0 ) ).

tff(func_def_2577,type,
    iG1197: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_2578,type,
    iG1198: 
      !>[X0: $tType] : ( ( X0 * X0 * fun(X0,fun(X0,$o)) ) > X0 ) ).

tff(func_def_2579,type,
    iG1199: 
      !>[X0: $tType] : ( ( X0 * set(X0) ) > X0 ) ).

tff(func_def_2580,type,
    iG1200: 
      !>[X0: $tType] : ( ( X0 * set(X0) ) > X0 ) ).

tff(func_def_2581,type,
    lG1201: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * X1 * list(X1) ) > X1 ) ).

tff(func_def_2582,type,
    iG1202: 
      !>[X0: $tType,X1: $tType] : ( ( list(X0) * X0 * fun(X0,X1) * X0 ) > X0 ) ).

tff(func_def_2583,type,
    iG1203: 
      !>[X0: $tType] : ( ( X0 * X0 * fun(X0,fun(X0,$o)) ) > X0 ) ).

tff(func_def_2584,type,
    iG1204: 
      !>[X0: $tType,X1: $tType] : ( ( X1 * X1 * list(product_prod(X1,X0)) * X0 ) > option(X0) ) ).

tff(func_def_2585,type,
    iG1205: 
      !>[X0: $tType,X1: $tType] : ( ( list(X1) * X1 * fun(X1,X0) ) > option(X0) ) ).

tff(func_def_2586,type,
    iG1206: ( num * num ) > list(nat) ).

tff(func_def_2587,type,
    iG1207: ( nat * nat ) > list(nat) ).

tff(func_def_2588,type,
    iG1208: ( nat * nat ) > list(nat) ).

tff(func_def_2589,type,
    iG1209: 
      !>[X0: $tType] : ( ( list(X0) * X0 ) > X0 ) ).

tff(func_def_2590,type,
    iG1210: 
      !>[X0: $tType] : ( list(list(X0)) > nat ) ).

tff(func_def_2591,type,
    iG1211: 
      !>[X0: $tType] : ( ( fun(X0,$o) * list(X0) * list(X0) ) > list(X0) ) ).

tff(func_def_2592,type,
    iG1212: 
      !>[X0: $tType] : ( ( X0 * fun(X0,$o) * list(X0) ) > option(X0) ) ).

tff(func_def_2593,type,
    iG1213: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_2594,type,
    iG1214: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_2595,type,
    iG1215: 
      !>[X0: $tType] : ( ( X0 * set(X0) ) > X0 ) ).

tff(func_def_2596,type,
    iG1216: 
      !>[X0: $tType] : ( ( nat * list(X0) * X0 ) > list(X0) ) ).

tff(func_def_2597,type,
    iG1217: 
      !>[X0: $tType] : ( ( int * X0 ) > X0 ) ).

tff(func_def_2598,type,
    iG1218: 
      !>[X0: $tType] : ( ( int * X0 ) > X0 ) ).

tff(func_def_2599,type,
    iG1219: 
      !>[X0: $tType] : ( ( nat * nat * X0 * fun(nat,fun(X0,X0)) ) > X0 ) ).

tff(func_def_2600,type,
    iG1220: 
      !>[X0: $tType] : ( ( nat * nat * X0 * fun(nat,fun(X0,X0)) ) > X0 ) ).

tff(func_def_2601,type,
    lG1221: nat > code_integer ).

tff(func_def_2602,type,
    lG1222: nat > code_integer ).

tff(func_def_2603,type,
    iG1223: ( nat * nat ) > product_prod(code_integer,code_integer) ).

tff(func_def_2604,type,
    iG1224: ( nat * nat ) > product_prod(code_integer,code_integer) ).

tff(func_def_2605,type,
    iG1225: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * set(X0) ) > set(X0) ) ).

tff(func_def_2606,type,
    iG1226: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * set(X0) ) > set(X0) ) ).

tff(func_def_2607,type,
    iG1227: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * X1 ) > set(X0) ) ).

tff(func_def_2608,type,
    iG1228: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * X1 * set(X0) ) > set(X0) ) ).

tff(func_def_2609,type,
    iG1229: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * X1 * set(X0) ) > set(X0) ) ).

tff(func_def_2610,type,
    iG1230: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * X1 * X1 * set(X0) ) > set(X0) ) ).

tff(func_def_2611,type,
    iG1231: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * X1 * fun(X1,set(X0)) ) > set(X0) ) ).

tff(func_def_2612,type,
    iG1232: 
      !>[X0: $tType] : ( ( fun(X0,$o) * list(X0) * list(X0) ) > list(X0) ) ).

tff(func_def_2613,type,
    iG1233: 
      !>[X0: $tType] : ( ( list(X0) * fun(X0,nat) ) > nat ) ).

tff(func_def_2614,type,
    iG1234: 
      !>[X0: $tType] : ( list(X0) > nat ) ).

tff(func_def_2615,type,
    bG1235: 
      !>[X0: $tType] : ( ( nat * nat ) > $o ) ).

tff(func_def_2616,type,
    iG1236: 
      !>[X0: $tType] : ( ( nat * list(X0) * X0 ) > X0 ) ).

tff(func_def_2617,type,
    iG1237: 
      !>[X0: $tType,X1: $tType] : ( ( list(X0) * fun(X0,X1) * X0 ) > list(X0) ) ).

tff(func_def_2618,type,
    bG1238: $o > $o ).

tff(func_def_2619,type,
    bG1239: $o > $o ).

tff(func_def_2620,type,
    bG1240: $o > $o ).

tff(func_def_2621,type,
    bG1241: $o > $o ).

tff(func_def_2622,type,
    bG1242: $o > $o ).

tff(func_def_2623,type,
    bG1243: $o > $o ).

tff(func_def_2624,type,
    bG1244: $o > $o ).

tff(func_def_2625,type,
    bG1245: $o > $o ).

tff(func_def_2626,type,
    bG1246: $o > $o ).

tff(func_def_2627,type,
    bG1247: $o > $o ).

tff(func_def_2628,type,
    bG1248: $o > $o ).

tff(func_def_2629,type,
    bG1249: $o > $o ).

tff(func_def_2630,type,
    bG1250: $o > $o ).

tff(func_def_2631,type,
    iG1251: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * X0 * X0 ) > X0 ) ).

tff(func_def_2632,type,
    iG1252: product_prod(int,int) > product_prod(int,int) ).

tff(func_def_2633,type,
    bG1253: $o > $o ).

tff(func_def_2634,type,
    bG1254: $o > $o ).

tff(func_def_2635,type,
    bG1255: $o > $o ).

tff(func_def_2636,type,
    bG1256: $o > $o ).

tff(func_def_2637,type,
    lG1257: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * X1 * list(X1) ) > X1 ) ).

tff(func_def_2638,type,
    iG1258: 
      !>[X0: $tType,X1: $tType] : ( ( list(X0) * X0 * fun(X0,X1) * X0 ) > X0 ) ).

tff(func_def_2639,type,
    iG1260: ( int * int ) > product_prod(int,int) ).

tff(func_def_2640,type,
    lG1261: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * X1 * list(X1) ) > X1 ) ).

tff(func_def_2641,type,
    iG1262: 
      !>[X0: $tType,X1: $tType] : ( ( list(X0) * X0 * fun(X0,X1) * X0 ) > X0 ) ).

tff(func_def_2642,type,
    iG1263: ( real * real ) > real ).

tff(func_def_2643,type,
    iG1264: ( real * real ) > real ).

tff(func_def_2644,type,
    iG1265: ( real * real ) > real ).

tff(func_def_2645,type,
    iG1266: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * set(X1) ) > nat ) ).

tff(func_def_2646,type,
    bG1267: $o > $o ).

tff(func_def_2647,type,
    bG1268: $o > $o ).

tff(func_def_2648,type,
    bG1269: $o > $o ).

tff(func_def_2649,type,
    bG1270: $o > $o ).

tff(func_def_2650,type,
    bG1271: $o > $o ).

tff(func_def_2651,type,
    bG1272: $o > $o ).

tff(func_def_2652,type,
    bG1273: $o > $o ).

tff(func_def_2653,type,
    bG1274: $o > $o ).

tff(func_def_2654,type,
    bG1275: $o > $o ).

tff(func_def_2655,type,
    bG1276: $o > $o ).

tff(func_def_2656,type,
    bG1277: $o > $o ).

tff(func_def_2657,type,
    bG1278: $o > $o ).

tff(func_def_2658,type,
    bG1279: $o > $o ).

tff(func_def_2659,type,
    bG1280: $o > $o ).

tff(func_def_2660,type,
    bG1281: $o > $o ).

tff(func_def_2661,type,
    bG1282: $o > $o ).

tff(func_def_2662,type,
    bG1283: $o > $o ).

tff(func_def_2663,type,
    bG1284: $o > $o ).

tff(func_def_2664,type,
    bG1285: $o > $o ).

tff(func_def_2665,type,
    bG1286: $o > $o ).

tff(func_def_2666,type,
    bG1287: $o > $o ).

tff(func_def_2667,type,
    iG1288: 
      !>[X0: $tType] : ( ( list(X0) * X0 ) > list(X0) ) ).

tff(func_def_2668,type,
    iG1289: 
      !>[X0: $tType] : ( ( X0 * set(X0) * fun(X0,fun(X0,X0)) ) > X0 ) ).

tff(func_def_2669,type,
    iG1290: 
      !>[X0: $tType] : ( ( X0 * set(X0) * fun(X0,fun(X0,X0)) ) > X0 ) ).

tff(func_def_2670,type,
    iG1291: product_prod(int,int) > product_prod(int,int) ).

tff(func_def_2671,type,
    iG1292: 
      !>[X0: $tType] : ( ( nat * X0 ) > X0 ) ).

tff(func_def_2672,type,
    iG1293: 
      !>[X0: $tType] : ( ( nat * nat ) > X0 ) ).

tff(func_def_2673,type,
    iG1294: 
      !>[X0: $tType] : ( ( nat * X0 ) > X0 ) ).

tff(func_def_2674,type,
    iG1295: ( nat * fun(nat,real) ) > real ).

tff(func_def_2675,type,
    iG1296: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( product_prod(X1,X2) * product_prod(X2,X0) ) > list(product_prod(X1,X0)) ) ).

tff(func_def_2676,type,
    iG1297: ( int * int ) > product_prod(int,int) ).

tff(func_def_2677,type,
    iG1298: ( int * int ) > product_prod(int,int) ).

tff(func_def_2678,type,
    iG1299: 
      !>[X0: $tType] : ( ( nat * nat ) > X0 ) ).

tff(func_def_2679,type,
    lG1300: code_integer > int ).

tff(func_def_2680,type,
    iG1301: ( code_integer * code_integer ) > int ).

tff(func_def_2681,type,
    lG1302: nat > a ).

tff(func_def_2682,type,
    iG1303: ( nat * nat ) > a ).

tff(func_def_2683,type,
    lG1304: code_integer > num ).

tff(func_def_2684,type,
    lG1305: code_integer > num ).

tff(func_def_2685,type,
    iG1306: ( code_integer * code_integer ) > num ).

tff(func_def_2686,type,
    lG1307: code_integer > nat ).

tff(func_def_2687,type,
    lG1308: code_integer > nat ).

tff(func_def_2688,type,
    iG1309: ( code_integer * code_integer ) > nat ).

tff(func_def_2689,type,
    iG1310: ( nat * fun(nat,real) * fun(nat,real) ) > real ).

tff(func_def_2690,type,
    iG1311: ( nat * fun(nat,real) * fun(nat,real) ) > real ).

tff(func_def_2691,type,
    iG1312: ( code_integer * num * code_integer ) > product_prod(code_integer,code_integer) ).

tff(func_def_2692,type,
    iG1313: ( nat * num * nat ) > product_prod(nat,nat) ).

tff(func_def_2693,type,
    iG1314: ( int * num * int ) > product_prod(int,int) ).

tff(func_def_2694,type,
    iG1315: 
      !>[X0: $tType] : ( ( X0 * num * X0 ) > product_prod(X0,X0) ) ).

tff(func_def_2695,type,
    iG1316: ( code_integer * code_integer * code_integer ) > product_prod(code_integer,code_integer) ).

tff(func_def_2696,type,
    iG1317: ( code_integer * code_integer * code_integer ) > product_prod(code_integer,code_integer) ).

tff(func_def_2697,type,
    iG1318: ( code_integer * code_integer * code_integer ) > product_prod(code_integer,code_integer) ).

tff(func_def_2698,type,
    iG1319: 
      !>[X0: $tType] : ( ( X0 * fun(X0,$o) * set(X0) ) > set(X0) ) ).

tff(func_def_2699,type,
    iG1320: 
      !>[X0: $tType,X1: $tType] : ( ( X1 * fun(X1,$o) * fun(X1,X0) ) > option(X0) ) ).

tff(func_def_2700,type,
    iG1321: 
      !>[X0: $tType] : ( ( nat * nat ) > X0 ) ).

tff(func_def_2701,type,
    iG1322: ( code_integer * code_integer * code_integer ) > code_integer ).

tff(func_def_2702,type,
    bG1323: code_integer > $o ).

tff(func_def_2703,type,
    bG1324: $o > $o ).

tff(func_def_2704,type,
    bG1325: $o > $o ).

tff(func_def_2705,type,
    bG1326: $o > $o ).

tff(func_def_2706,type,
    bG1327: $o > $o ).

tff(func_def_2707,type,
    bG1328: $o > $o ).

tff(func_def_2708,type,
    bG1329: $o > $o ).

tff(func_def_2709,type,
    iG1330: 
      !>[X0: $tType] : ( ( nat * nat * X0 * X0 ) > X0 ) ).

tff(func_def_2710,type,
    iG1331: 
      !>[X0: $tType] : ( ( nat * nat * X0 * X0 ) > X0 ) ).

tff(func_def_2711,type,
    iG1332: 
      !>[X0: $tType] : ( ( nat * nat * X0 * X0 ) > X0 ) ).

tff(func_def_2712,type,
    iG1333: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( X2 * product_prod(X1,X2) * set(product_prod(X1,X0)) * X0 ) > set(product_prod(X1,X0)) ) ).

tff(func_def_2713,type,
    iG1334: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,X1) * X1 * X0 ) > X0 ) ).

tff(func_def_2714,type,
    iG1335: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * X1 * set(X0) * X0 ) > set(X0) ) ).

tff(func_def_2715,type,
    iG1336: 
      !>[X0: $tType] : ( ( nat * nat * fun(nat,X0) ) > X0 ) ).

tff(func_def_2716,type,
    iG1337: 
      !>[X0: $tType] : ( ( nat * nat * fun(nat,X0) * fun(nat,X0) ) > X0 ) ).

tff(func_def_2717,type,
    iG1338: 
      !>[X0: $tType] : ( ( nat * nat * fun(nat,X0) ) > X0 ) ).

tff(func_def_2718,type,
    iG1339: 
      !>[X0: $tType] : ( ( nat * nat * fun(nat,X0) * fun(nat,X0) ) > X0 ) ).

tff(func_def_2719,type,
    iG1340: 
      !>[X0: $tType,X1: $tType] : ( ( X1 * X1 * fun(X1,X0) * fun(X1,X0) ) > X0 ) ).

tff(func_def_2720,type,
    iG1341: 
      !>[X0: $tType] : ( ( nat * nat * fun(nat,X0) * fun(nat,X0) ) > X0 ) ).

tff(func_def_2721,type,
    iG1342: 
      !>[X0: $tType] : ( ( nat * nat * fun(nat,X0) * fun(nat,X0) ) > X0 ) ).

tff(func_def_2722,type,
    iG1343: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * X1 * fun(X1,X0) * fun(X1,X0) ) > X0 ) ).

tff(func_def_2723,type,
    iG1344: 
      !>[X0: $tType] : ( ( set(nat) * nat * fun(nat,X0) * fun(nat,X0) ) > X0 ) ).

tff(func_def_2724,type,
    iG1345: 
      !>[X0: $tType,X1: $tType] : ( ( X1 * X1 * fun(X1,X0) * fun(X1,X0) ) > X0 ) ).

tff(func_def_2725,type,
    iG1346: 
      !>[X0: $tType,X1: $tType] : ( ( X1 * X1 * fun(X1,X0) * fun(X1,X0) ) > X0 ) ).

tff(func_def_2726,type,
    iG1347: 
      !>[X0: $tType,X1: $tType] : ( ( X1 * X1 * X0 * fun(X1,X0) ) > X0 ) ).

tff(func_def_2727,type,
    iG1348: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * X1 * X0 * X0 ) > X0 ) ).

tff(func_def_2728,type,
    iG1349: 
      !>[X0: $tType] : ( ( X0 * fun(X0,$o) * list(X0) * list(X0) ) > product_prod(list(X0),list(X0)) ) ).

tff(func_def_2729,type,
    iG1350: 
      !>[X0: $tType,X1: $tType] : ( ( X1 * fun(X1,$o) * fun(X1,X0) * fun(X1,X0) ) > X0 ) ).

tff(func_def_2730,type,
    iG1351: 
      !>[X0: $tType,X1: $tType] : ( ( X1 * fun(X1,$o) * fun(X1,X0) * fun(X1,X0) ) > X0 ) ).

tff(func_def_2731,type,
    iG1352: 
      !>[X0: $tType,X1: $tType] : ( ( X1 * fun(X1,$o) * fun(X1,X0) * fun(X1,X0) ) > X0 ) ).

tff(func_def_2732,type,
    iG1353: 
      !>[X0: $tType] : ( ( nat * nat ) > X0 ) ).

tff(func_def_2733,type,
    iG1354: 
      !>[X0: $tType] : ( ( nat * nat * X0 ) > X0 ) ).

tff(func_def_2734,type,
    bG1355: $o > $o ).

tff(func_def_2735,type,
    iG1356: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( X2 * X2 * set(product_prod(X1,X0)) * X0 * X1 ) > set(product_prod(X1,X0)) ) ).

tff(func_def_2736,type,
    iG1357: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( X2 * X2 * set(product_prod(X1,X0)) * X0 * X1 ) > set(product_prod(X1,X0)) ) ).

tff(func_def_2737,type,
    bG1359: $o > $o ).

tff(func_def_2738,type,
    bG1360: $o > $o ).

tff(func_def_2739,type,
    bG1361: $o > $o ).

tff(func_def_2740,type,
    bG1362: $o > $o ).

tff(func_def_2741,type,
    sK1412: 
      !>[X0: $tType] : ( product_prod(fun(nat,fun(X0,X0)),product_prod(nat,product_prod(nat,X0))) > fun(nat,fun(X0,X0)) ) ).

tff(func_def_2742,type,
    sK1413: 
      !>[X0: $tType] : ( product_prod(fun(nat,fun(X0,X0)),product_prod(nat,product_prod(nat,X0))) > nat ) ).

tff(func_def_2743,type,
    sK1414: 
      !>[X0: $tType] : ( product_prod(fun(nat,fun(X0,X0)),product_prod(nat,product_prod(nat,X0))) > nat ) ).

tff(func_def_2744,type,
    sK1415: 
      !>[X0: $tType] : ( product_prod(fun(nat,fun(X0,X0)),product_prod(nat,product_prod(nat,X0))) > X0 ) ).

tff(func_def_2745,type,
    sK1416: 
      !>[X0: $tType,X1: $tType] : ( ( set(product_prod(X1,X0)) * set(product_prod(X1,X0)) ) > X1 ) ).

tff(func_def_2746,type,
    sK1417: 
      !>[X0: $tType,X1: $tType] : ( ( set(product_prod(X1,X0)) * set(product_prod(X1,X0)) ) > X0 ) ).

tff(func_def_2747,type,
    sK1418: 
      !>[X0: $tType,X1: $tType] : ( ( set(product_prod(X1,X0)) * set(product_prod(X1,X0)) ) > X1 ) ).

tff(func_def_2748,type,
    sK1419: 
      !>[X0: $tType,X1: $tType] : ( ( set(product_prod(X1,X0)) * set(product_prod(X1,X0)) ) > X0 ) ).

tff(func_def_2749,type,
    sK1420: 
      !>[X0: $tType,X1: $tType] : ( product_prod(X0,X1) > X0 ) ).

tff(func_def_2750,type,
    sK1421: 
      !>[X0: $tType,X1: $tType] : ( product_prod(X0,X1) > X1 ) ).

tff(func_def_2751,type,
    sK1422: 
      !>[X0: $tType,X1: $tType] : ( fun(product_prod(X1,X0),$o) > X1 ) ).

tff(func_def_2752,type,
    sK1423: 
      !>[X0: $tType,X1: $tType] : ( fun(product_prod(X1,X0),$o) > X0 ) ).

tff(func_def_2753,type,
    sK1424: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( product_prod(X0,product_prod(X1,X2)) > X0 ) ).

tff(func_def_2754,type,
    sK1425: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( product_prod(X0,product_prod(X1,X2)) > X1 ) ).

tff(func_def_2755,type,
    sK1426: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( product_prod(X0,product_prod(X1,X2)) > X2 ) ).

tff(func_def_2756,type,
    sK1427: 
      !>[X0: $tType,X1: $tType,X2: $tType,X3: $tType] : ( product_prod(X0,product_prod(X1,product_prod(X2,X3))) > X0 ) ).

tff(func_def_2757,type,
    sK1428: 
      !>[X0: $tType,X1: $tType,X2: $tType,X3: $tType] : ( product_prod(X0,product_prod(X1,product_prod(X2,X3))) > X1 ) ).

tff(func_def_2758,type,
    sK1429: 
      !>[X0: $tType,X1: $tType,X2: $tType,X3: $tType] : ( product_prod(X0,product_prod(X1,product_prod(X2,X3))) > X2 ) ).

tff(func_def_2759,type,
    sK1430: 
      !>[X0: $tType,X1: $tType,X2: $tType,X3: $tType] : ( product_prod(X0,product_prod(X1,product_prod(X2,X3))) > X3 ) ).

tff(func_def_2760,type,
    sK1431: 
      !>[X0: $tType,X1: $tType,X2: $tType,X3: $tType,X4: $tType] : ( product_prod(X0,product_prod(X1,product_prod(X2,product_prod(X3,X4)))) > X0 ) ).

tff(func_def_2761,type,
    sK1432: 
      !>[X0: $tType,X1: $tType,X2: $tType,X3: $tType,X4: $tType] : ( product_prod(X0,product_prod(X1,product_prod(X2,product_prod(X3,X4)))) > X1 ) ).

tff(func_def_2762,type,
    sK1433: 
      !>[X0: $tType,X1: $tType,X2: $tType,X3: $tType,X4: $tType] : ( product_prod(X0,product_prod(X1,product_prod(X2,product_prod(X3,X4)))) > X2 ) ).

tff(func_def_2763,type,
    sK1434: 
      !>[X0: $tType,X1: $tType,X2: $tType,X3: $tType,X4: $tType] : ( product_prod(X0,product_prod(X1,product_prod(X2,product_prod(X3,X4)))) > X3 ) ).

tff(func_def_2764,type,
    sK1435: 
      !>[X0: $tType,X1: $tType,X2: $tType,X3: $tType,X4: $tType] : ( product_prod(X0,product_prod(X1,product_prod(X2,product_prod(X3,X4)))) > X4 ) ).

tff(func_def_2765,type,
    sK1436: 
      !>[X0: $tType,X1: $tType,X2: $tType,X3: $tType,X4: $tType,X5: $tType] : ( product_prod(X0,product_prod(X1,product_prod(X2,product_prod(X3,product_prod(X4,X5))))) > X0 ) ).

tff(func_def_2766,type,
    sK1437: 
      !>[X0: $tType,X1: $tType,X2: $tType,X3: $tType,X4: $tType,X5: $tType] : ( product_prod(X0,product_prod(X1,product_prod(X2,product_prod(X3,product_prod(X4,X5))))) > X1 ) ).

tff(func_def_2767,type,
    sK1438: 
      !>[X0: $tType,X1: $tType,X2: $tType,X3: $tType,X4: $tType,X5: $tType] : ( product_prod(X0,product_prod(X1,product_prod(X2,product_prod(X3,product_prod(X4,X5))))) > X2 ) ).

tff(func_def_2768,type,
    sK1439: 
      !>[X0: $tType,X1: $tType,X2: $tType,X3: $tType,X4: $tType,X5: $tType] : ( product_prod(X0,product_prod(X1,product_prod(X2,product_prod(X3,product_prod(X4,X5))))) > X3 ) ).

tff(func_def_2769,type,
    sK1440: 
      !>[X0: $tType,X1: $tType,X2: $tType,X3: $tType,X4: $tType,X5: $tType] : ( product_prod(X0,product_prod(X1,product_prod(X2,product_prod(X3,product_prod(X4,X5))))) > X4 ) ).

tff(func_def_2770,type,
    sK1441: 
      !>[X0: $tType,X1: $tType,X2: $tType,X3: $tType,X4: $tType,X5: $tType] : ( product_prod(X0,product_prod(X1,product_prod(X2,product_prod(X3,product_prod(X4,X5))))) > X5 ) ).

tff(func_def_2771,type,
    sK1442: 
      !>[X0: $tType,X1: $tType,X2: $tType,X3: $tType,X4: $tType,X5: $tType,X6: $tType] : ( product_prod(X0,product_prod(X1,product_prod(X2,product_prod(X3,product_prod(X4,product_prod(X5,X6)))))) > X0 ) ).

tff(func_def_2772,type,
    sK1443: 
      !>[X0: $tType,X1: $tType,X2: $tType,X3: $tType,X4: $tType,X5: $tType,X6: $tType] : ( product_prod(X0,product_prod(X1,product_prod(X2,product_prod(X3,product_prod(X4,product_prod(X5,X6)))))) > X1 ) ).

tff(func_def_2773,type,
    sK1444: 
      !>[X0: $tType,X1: $tType,X2: $tType,X3: $tType,X4: $tType,X5: $tType,X6: $tType] : ( product_prod(X0,product_prod(X1,product_prod(X2,product_prod(X3,product_prod(X4,product_prod(X5,X6)))))) > X2 ) ).

tff(func_def_2774,type,
    sK1445: 
      !>[X0: $tType,X1: $tType,X2: $tType,X3: $tType,X4: $tType,X5: $tType,X6: $tType] : ( product_prod(X0,product_prod(X1,product_prod(X2,product_prod(X3,product_prod(X4,product_prod(X5,X6)))))) > X3 ) ).

tff(func_def_2775,type,
    sK1446: 
      !>[X0: $tType,X1: $tType,X2: $tType,X3: $tType,X4: $tType,X5: $tType,X6: $tType] : ( product_prod(X0,product_prod(X1,product_prod(X2,product_prod(X3,product_prod(X4,product_prod(X5,X6)))))) > X4 ) ).

tff(func_def_2776,type,
    sK1447: 
      !>[X0: $tType,X1: $tType,X2: $tType,X3: $tType,X4: $tType,X5: $tType,X6: $tType] : ( product_prod(X0,product_prod(X1,product_prod(X2,product_prod(X3,product_prod(X4,product_prod(X5,X6)))))) > X5 ) ).

tff(func_def_2777,type,
    sK1448: 
      !>[X0: $tType,X1: $tType,X2: $tType,X3: $tType,X4: $tType,X5: $tType,X6: $tType] : ( product_prod(X0,product_prod(X1,product_prod(X2,product_prod(X3,product_prod(X4,product_prod(X5,X6)))))) > X6 ) ).

tff(func_def_2778,type,
    sK1449: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( fun(product_prod(X2,product_prod(X1,X0)),$o) > X2 ) ).

tff(func_def_2779,type,
    sK1450: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( fun(product_prod(X2,product_prod(X1,X0)),$o) > X1 ) ).

tff(func_def_2780,type,
    sK1451: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( fun(product_prod(X2,product_prod(X1,X0)),$o) > X0 ) ).

tff(func_def_2781,type,
    sK1452: 
      !>[X0: $tType,X1: $tType,X2: $tType,X3: $tType] : ( fun(product_prod(X3,product_prod(X2,product_prod(X1,X0))),$o) > X3 ) ).

tff(func_def_2782,type,
    sK1453: 
      !>[X0: $tType,X1: $tType,X2: $tType,X3: $tType] : ( fun(product_prod(X3,product_prod(X2,product_prod(X1,X0))),$o) > X2 ) ).

tff(func_def_2783,type,
    sK1454: 
      !>[X0: $tType,X1: $tType,X2: $tType,X3: $tType] : ( fun(product_prod(X3,product_prod(X2,product_prod(X1,X0))),$o) > X1 ) ).

tff(func_def_2784,type,
    sK1455: 
      !>[X0: $tType,X1: $tType,X2: $tType,X3: $tType] : ( fun(product_prod(X3,product_prod(X2,product_prod(X1,X0))),$o) > X0 ) ).

tff(func_def_2785,type,
    sK1456: 
      !>[X0: $tType,X1: $tType,X2: $tType,X3: $tType,X4: $tType] : ( fun(product_prod(X4,product_prod(X3,product_prod(X2,product_prod(X1,X0)))),$o) > X4 ) ).

tff(func_def_2786,type,
    sK1457: 
      !>[X0: $tType,X1: $tType,X2: $tType,X3: $tType,X4: $tType] : ( fun(product_prod(X4,product_prod(X3,product_prod(X2,product_prod(X1,X0)))),$o) > X3 ) ).

tff(func_def_2787,type,
    sK1458: 
      !>[X0: $tType,X1: $tType,X2: $tType,X3: $tType,X4: $tType] : ( fun(product_prod(X4,product_prod(X3,product_prod(X2,product_prod(X1,X0)))),$o) > X2 ) ).

tff(func_def_2788,type,
    sK1459: 
      !>[X0: $tType,X1: $tType,X2: $tType,X3: $tType,X4: $tType] : ( fun(product_prod(X4,product_prod(X3,product_prod(X2,product_prod(X1,X0)))),$o) > X1 ) ).

tff(func_def_2789,type,
    sK1460: 
      !>[X0: $tType,X1: $tType,X2: $tType,X3: $tType,X4: $tType] : ( fun(product_prod(X4,product_prod(X3,product_prod(X2,product_prod(X1,X0)))),$o) > X0 ) ).

tff(func_def_2790,type,
    sK1461: 
      !>[X0: $tType,X1: $tType,X2: $tType,X3: $tType,X4: $tType,X5: $tType] : ( fun(product_prod(X5,product_prod(X4,product_prod(X3,product_prod(X2,product_prod(X1,X0))))),$o) > X5 ) ).

tff(func_def_2791,type,
    sK1462: 
      !>[X0: $tType,X1: $tType,X2: $tType,X3: $tType,X4: $tType,X5: $tType] : ( fun(product_prod(X5,product_prod(X4,product_prod(X3,product_prod(X2,product_prod(X1,X0))))),$o) > X4 ) ).

tff(func_def_2792,type,
    sK1463: 
      !>[X0: $tType,X1: $tType,X2: $tType,X3: $tType,X4: $tType,X5: $tType] : ( fun(product_prod(X5,product_prod(X4,product_prod(X3,product_prod(X2,product_prod(X1,X0))))),$o) > X3 ) ).

tff(func_def_2793,type,
    sK1464: 
      !>[X0: $tType,X1: $tType,X2: $tType,X3: $tType,X4: $tType,X5: $tType] : ( fun(product_prod(X5,product_prod(X4,product_prod(X3,product_prod(X2,product_prod(X1,X0))))),$o) > X2 ) ).

tff(func_def_2794,type,
    sK1465: 
      !>[X0: $tType,X1: $tType,X2: $tType,X3: $tType,X4: $tType,X5: $tType] : ( fun(product_prod(X5,product_prod(X4,product_prod(X3,product_prod(X2,product_prod(X1,X0))))),$o) > X1 ) ).

tff(func_def_2795,type,
    sK1466: 
      !>[X0: $tType,X1: $tType,X2: $tType,X3: $tType,X4: $tType,X5: $tType] : ( fun(product_prod(X5,product_prod(X4,product_prod(X3,product_prod(X2,product_prod(X1,X0))))),$o) > X0 ) ).

tff(func_def_2796,type,
    sK1467: 
      !>[X0: $tType,X1: $tType,X2: $tType,X3: $tType,X4: $tType,X5: $tType,X6: $tType] : ( fun(product_prod(X6,product_prod(X5,product_prod(X4,product_prod(X3,product_prod(X2,product_prod(X1,X0)))))),$o) > X6 ) ).

tff(func_def_2797,type,
    sK1468: 
      !>[X0: $tType,X1: $tType,X2: $tType,X3: $tType,X4: $tType,X5: $tType,X6: $tType] : ( fun(product_prod(X6,product_prod(X5,product_prod(X4,product_prod(X3,product_prod(X2,product_prod(X1,X0)))))),$o) > X5 ) ).

tff(func_def_2798,type,
    sK1469: 
      !>[X0: $tType,X1: $tType,X2: $tType,X3: $tType,X4: $tType,X5: $tType,X6: $tType] : ( fun(product_prod(X6,product_prod(X5,product_prod(X4,product_prod(X3,product_prod(X2,product_prod(X1,X0)))))),$o) > X4 ) ).

tff(func_def_2799,type,
    sK1470: 
      !>[X0: $tType,X1: $tType,X2: $tType,X3: $tType,X4: $tType,X5: $tType,X6: $tType] : ( fun(product_prod(X6,product_prod(X5,product_prod(X4,product_prod(X3,product_prod(X2,product_prod(X1,X0)))))),$o) > X3 ) ).

tff(func_def_2800,type,
    sK1471: 
      !>[X0: $tType,X1: $tType,X2: $tType,X3: $tType,X4: $tType,X5: $tType,X6: $tType] : ( fun(product_prod(X6,product_prod(X5,product_prod(X4,product_prod(X3,product_prod(X2,product_prod(X1,X0)))))),$o) > X2 ) ).

tff(func_def_2801,type,
    sK1472: 
      !>[X0: $tType,X1: $tType,X2: $tType,X3: $tType,X4: $tType,X5: $tType,X6: $tType] : ( fun(product_prod(X6,product_prod(X5,product_prod(X4,product_prod(X3,product_prod(X2,product_prod(X1,X0)))))),$o) > X1 ) ).

tff(func_def_2802,type,
    sK1473: 
      !>[X0: $tType,X1: $tType,X2: $tType,X3: $tType,X4: $tType,X5: $tType,X6: $tType] : ( fun(product_prod(X6,product_prod(X5,product_prod(X4,product_prod(X3,product_prod(X2,product_prod(X1,X0)))))),$o) > X0 ) ).

tff(func_def_2803,type,
    sK1474: 
      !>[X0: $tType,X1: $tType] : ( product_prod(X0,X1) > X0 ) ).

tff(func_def_2804,type,
    sK1475: 
      !>[X0: $tType,X1: $tType] : ( product_prod(X0,X1) > X1 ) ).

tff(func_def_2805,type,
    sK1476: product_prod(nat,nat) > nat ).

tff(func_def_2806,type,
    sK1477: product_prod(nat,nat) > nat ).

tff(func_def_2807,type,
    sK1478: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * fun(X1,X0) ) > X1 ) ).

tff(func_def_2808,type,
    sK1479: list(vEBT_VEBT) ).

tff(func_def_2809,type,
    sK1480: vEBT_VEBT ).

tff(func_def_2810,type,
    sK1481: option(product_prod(nat,nat)) ).

tff(func_def_2811,type,
    sK1482: nat > nat ).

tff(func_def_2812,type,
    sK1483: int > nat ).

tff(func_def_2813,type,
    sK1484: ( int * int ) > nat ).

tff(func_def_2814,type,
    sK1485: int > nat ).

tff(func_def_2815,type,
    sK1486: int > nat ).

tff(func_def_2816,type,
    sK1487: fun(int,$o) > nat ).

tff(func_def_2817,type,
    sK1488: fun(int,$o) > nat ).

tff(func_def_2818,type,
    sK1489: fun(nat,$o) > nat ).

tff(func_def_2819,type,
    sK1490: fun(nat,$o) > nat ).

tff(func_def_2820,type,
    sK1491: fun(nat,fun(nat,$o)) > nat ).

tff(func_def_2821,type,
    sK1492: fun(nat,fun(nat,$o)) > nat ).

tff(func_def_2822,type,
    sK1493: fun(nat,fun(nat,$o)) > nat ).

tff(func_def_2823,type,
    sK1494: fun(nat,fun(nat,$o)) > nat ).

tff(func_def_2824,type,
    sK1495: fun(nat,fun(nat,$o)) > nat ).

tff(func_def_2825,type,
    sK1496: 
      !>[X0: $tType] : ( ( fun(X0,$o) * X0 * fun(X0,nat) * nat ) > X0 ) ).

tff(func_def_2826,type,
    sK1497: 
      !>[X0: $tType] : ( ( fun(X0,$o) * fun(X0,nat) ) > X0 ) ).

tff(func_def_2827,type,
    sK1498: ( nat * nat ) > nat ).

tff(func_def_2828,type,
    sK1499: fun(nat,nat) > nat ).

tff(func_def_2829,type,
    sK1500: fun(nat,nat) > nat ).

tff(func_def_2830,type,
    sK1501: ( nat * nat ) > nat ).

tff(func_def_2831,type,
    sK1502: ( nat * nat ) > nat ).

tff(func_def_2832,type,
    sK1503: ( nat * real ) > real ).

tff(func_def_2833,type,
    sK1504: ( nat * real ) > real ).

tff(func_def_2834,type,
    sK1505: ( real * real ) > nat ).

tff(func_def_2835,type,
    sK1506: ( real * nat ) > real ).

tff(func_def_2836,type,
    sK1507: ( real * real ) > nat ).

tff(func_def_2837,type,
    sK1508: 
      !>[X0: $tType] : ( ( nat * set(product_prod(X0,X0)) * fun(nat,X0) ) > nat ) ).

tff(func_def_2838,type,
    sK1509: 
      !>[X0: $tType] : ( ( X0 * X0 * nat * set(product_prod(X0,X0)) ) > fun(nat,X0) ) ).

tff(func_def_2839,type,
    sK1510: 
      !>[X0: $tType] : ( ( X0 * X0 * nat * set(product_prod(X0,X0)) ) > X0 ) ).

tff(func_def_2840,type,
    sK1511: 
      !>[X0: $tType] : ( ( X0 * X0 * nat * set(product_prod(X0,X0)) ) > nat ) ).

tff(func_def_2841,type,
    sK1512: 
      !>[X0: $tType] : ( ( X0 * X0 * nat * set(product_prod(X0,X0)) ) > X0 ) ).

tff(func_def_2842,type,
    sK1513: 
      !>[X0: $tType] : ( ( X0 * X0 * nat * set(product_prod(X0,X0)) ) > nat ) ).

tff(func_def_2843,type,
    sK1514: 
      !>[X0: $tType] : ( ( X0 * X0 * nat * set(product_prod(X0,X0)) ) > X0 ) ).

tff(func_def_2844,type,
    sK1515: 
      !>[X0: $tType] : ( ( X0 * X0 * nat * set(product_prod(X0,X0)) ) > X0 ) ).

tff(func_def_2845,type,
    sK1516: 
      !>[X0: $tType] : ( ( X0 * X0 * nat * set(product_prod(X0,X0)) ) > X0 ) ).

tff(func_def_2846,type,
    sK1517: 
      !>[X0: $tType] : ( ( nat * set(product_prod(X0,X0)) * X0 * X0 ) > X0 ) ).

tff(func_def_2847,type,
    sK1518: 
      !>[X0: $tType] : ( ( nat * fun(X0,fun(X0,$o)) * X0 * X0 ) > X0 ) ).

tff(func_def_2848,type,
    sK1519: 
      !>[X0: $tType] : ( ( nat * fun(X0,fun(X0,$o)) * X0 * X0 ) > nat ) ).

tff(func_def_2849,type,
    sK1520: 
      !>[X0: $tType] : ( ( nat * fun(X0,fun(X0,$o)) * X0 * X0 ) > X0 ) ).

tff(func_def_2850,type,
    sK1521: 
      !>[X0: $tType] : ( ( nat * fun(X0,fun(X0,$o)) * X0 * X0 ) > nat ) ).

tff(func_def_2851,type,
    sK1522: 
      !>[X0: $tType] : ( ( nat * fun(X0,fun(X0,$o)) * X0 * X0 ) > X0 ) ).

tff(func_def_2852,type,
    sK1523: 
      !>[X0: $tType] : ( ( nat * fun(X0,fun(X0,$o)) * X0 * X0 ) > X0 ) ).

tff(func_def_2853,type,
    sK1524: 
      !>[X0: $tType] : ( ( nat * fun(X0,fun(X0,$o)) * X0 * X0 ) > X0 ) ).

tff(func_def_2854,type,
    sK1525: 
      !>[X0: $tType] : ( ( nat * fun(X0,fun(X0,$o)) * fun(nat,X0) ) > nat ) ).

tff(func_def_2855,type,
    sK1526: 
      !>[X0: $tType] : ( ( nat * fun(X0,fun(X0,$o)) * X0 * X0 ) > fun(nat,X0) ) ).

tff(func_def_2856,type,
    sK1527: 
      !>[X0: $tType] : ( ( fun(nat,fun(X0,$o)) * fun(nat,fun(X0,fun(X0,$o))) ) > fun(nat,X0) ) ).

tff(func_def_2857,type,
    sK1528: 
      !>[X0: $tType] : ( ( fun(nat,fun(X0,$o)) * fun(nat,fun(X0,fun(X0,$o))) ) > X0 ) ).

tff(func_def_2858,type,
    sK1529: 
      !>[X0: $tType] : ( ( fun(nat,fun(X0,$o)) * fun(nat,fun(X0,fun(X0,$o))) ) > nat ) ).

tff(func_def_2859,type,
    sK1530: fun(nat,$o) > nat ).

tff(func_def_2860,type,
    sK1531: fun(nat,$o) > nat ).

tff(func_def_2861,type,
    sK1532: fun(nat,$o) > nat ).

tff(func_def_2862,type,
    sK1533: ( fun(nat,$o) * nat ) > nat ).

tff(func_def_2863,type,
    sK1534: ( nat * fun(nat,$o) ) > nat ).

tff(func_def_2864,type,
    sK1535: ( nat * fun(nat,$o) ) > nat ).

tff(func_def_2865,type,
    sK1536: nat > nat ).

tff(func_def_2866,type,
    sK1537: ( nat * fun(nat,$o) ) > nat ).

tff(func_def_2867,type,
    sK1538: ( nat * fun(nat,$o) ) > nat ).

tff(func_def_2868,type,
    sK1539: nat > nat ).

tff(func_def_2869,type,
    sK1540: ( nat * nat ) > nat ).

tff(func_def_2870,type,
    sK1541: nat > nat ).

tff(func_def_2871,type,
    sK1542: fun(nat,$o) > nat ).

tff(func_def_2872,type,
    sK1543: fun(nat,fun(nat,$o)) > nat ).

tff(func_def_2873,type,
    sK1544: fun(nat,fun(nat,$o)) > nat ).

tff(func_def_2874,type,
    sK1545: fun(nat,fun(nat,$o)) > nat ).

tff(func_def_2875,type,
    sK1546: fun(nat,fun(nat,$o)) > nat ).

tff(func_def_2876,type,
    sK1547: fun(nat,$o) > nat ).

tff(func_def_2877,type,
    sK1548: nat > nat ).

tff(func_def_2878,type,
    sK1549: nat > nat ).

tff(func_def_2879,type,
    sK1550: nat > nat ).

tff(func_def_2880,type,
    sK1551: ( nat * nat ) > nat ).

tff(func_def_2881,type,
    sK1552: ( nat * nat ) > nat ).

tff(func_def_2882,type,
    sK1553: ( nat * nat ) > nat ).

tff(func_def_2883,type,
    sK1554: ( nat * nat * fun(nat,$o) ) > nat ).

tff(func_def_2884,type,
    sK1555: ( nat * nat * fun(nat,$o) ) > nat ).

tff(func_def_2885,type,
    sK1556: ( nat * nat ) > nat ).

tff(func_def_2886,type,
    sK1557: ( nat * nat ) > nat ).

tff(func_def_2887,type,
    sK1558: ( nat * fun(nat,$o) ) > nat ).

tff(func_def_2888,type,
    sK1559: ( nat * fun(nat,$o) ) > nat ).

tff(func_def_2889,type,
    sK1560: ( nat * fun(nat,$o) ) > nat ).

tff(func_def_2890,type,
    sK1561: ( nat * fun(nat,$o) ) > nat ).

tff(func_def_2891,type,
    sK1562: ( nat * nat ) > nat ).

tff(func_def_2892,type,
    sK1563: fun(nat,fun(nat,$o)) > nat ).

tff(func_def_2893,type,
    sK1564: fun(nat,fun(nat,$o)) > nat ).

tff(func_def_2894,type,
    sK1565: fun(nat,fun(nat,$o)) > nat ).

tff(func_def_2895,type,
    sK1566: fun(nat,fun(nat,$o)) > nat ).

tff(func_def_2896,type,
    sK1567: ( nat * fun(nat,$o) ) > nat ).

tff(func_def_2897,type,
    sK1568: ( nat * fun(nat,$o) ) > nat ).

tff(func_def_2898,type,
    sK1569: nat > nat ).

tff(func_def_2899,type,
    sK1570: fun(nat,$o) > nat ).

tff(func_def_2900,type,
    sK1571: ( nat * fun(nat,$o) ) > nat ).

tff(func_def_2901,type,
    sK1572: fun(nat,fun(nat,$o)) > nat ).

tff(func_def_2902,type,
    sK1573: fun(nat,fun(nat,$o)) > nat ).

tff(func_def_2903,type,
    sK1574: fun(nat,fun(nat,$o)) > nat ).

tff(func_def_2904,type,
    sK1575: fun(nat,fun(nat,$o)) > nat ).

tff(func_def_2905,type,
    sK1576: fun(nat,fun(nat,$o)) > nat ).

tff(func_def_2906,type,
    sK1577: nat > nat ).

tff(func_def_2907,type,
    sK1578: nat > nat ).

tff(func_def_2908,type,
    sK1579: ( nat * nat ) > nat ).

tff(func_def_2909,type,
    sK1580: ( nat * nat ) > nat ).

tff(func_def_2910,type,
    sK1581: ( nat * fun(nat,$o) ) > nat ).

tff(func_def_2911,type,
    sK1582: ( nat * fun(nat,$o) ) > nat ).

tff(func_def_2912,type,
    sK1583: 
      !>[X0: $tType] : ( ( fun(X0,$o) * fun(X0,nat) ) > X0 ) ).

tff(func_def_2913,type,
    sK1584: 
      !>[X0: $tType] : ( ( fun(X0,$o) * fun(X0,nat) * nat ) > X0 ) ).

tff(func_def_2914,type,
    sK1585: ( fun(nat,$o) * nat ) > nat ).

tff(func_def_2915,type,
    sK1586: fun(nat,$o) > nat ).

tff(func_def_2916,type,
    sK1587: 
      !>[X0: $tType] : ( ( fun(X0,nat) * fun(X0,$o) ) > X0 ) ).

tff(func_def_2917,type,
    sK1588: 
      !>[X0: $tType] : ( ( fun(X0,nat) * fun(X0,$o) ) > X0 ) ).

tff(func_def_2918,type,
    sK1589: fun(nat,nat) > nat ).

tff(func_def_2919,type,
    sK1590: fun(nat,nat) > nat ).

tff(func_def_2920,type,
    sK1591: 
      !>[X0: $tType] : ( ( fun(X0,$o) * fun(X0,nat) ) > X0 ) ).

tff(func_def_2921,type,
    sK1592: fun(nat,$o) > nat ).

tff(func_def_2922,type,
    sK1593: fun(nat,$o) > nat ).

tff(func_def_2923,type,
    sK1594: 
      !>[X0: $tType] : ( set(list(X0)) > nat ) ).

tff(func_def_2924,type,
    sK1595: 
      !>[X0: $tType] : ( fun(list(X0),$o) > list(X0) ) ).

tff(func_def_2925,type,
    sK1596: 
      !>[X0: $tType] : ( nat > list(X0) ) ).

tff(func_def_2926,type,
    sK1597: 
      !>[X0: $tType] : ( ( set(X0) * set(X0) ) > X0 ) ).

tff(func_def_2927,type,
    sK1598: 
      !>[X0: $tType] : ( ( set(X0) * set(X0) ) > X0 ) ).

tff(func_def_2928,type,
    sK1599: 
      !>[X0: $tType] : ( ( set(X0) * set(X0) ) > X0 ) ).

tff(func_def_2929,type,
    sK1600: 
      !>[X0: $tType] : ( ( fun(X0,$o) * fun(X0,nat) ) > X0 ) ).

tff(func_def_2930,type,
    sK1601: fun(nat,$o) > nat ).

tff(func_def_2931,type,
    sK1602: ( fun(nat,$o) * nat ) > nat ).

tff(func_def_2932,type,
    sK1603: fun(nat,$o) > nat ).

tff(func_def_2933,type,
    sK1604: ( fun(nat,$o) * nat ) > nat ).

tff(func_def_2934,type,
    sK1605: ( list(vEBT_VEBT) * nat ) > vEBT_VEBT ).

tff(func_def_2935,type,
    sK1606: ( vEBT_VEBT * nat ) > option(product_prod(nat,nat)) ).

tff(func_def_2936,type,
    sK1607: ( vEBT_VEBT * nat ) > list(vEBT_VEBT) ).

tff(func_def_2937,type,
    sK1608: ( vEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_2938,type,
    sK1609: 
      !>[X0: $tType] : ( set(X0) > list(X0) ) ).

tff(func_def_2939,type,
    sK1610: 
      !>[X0: $tType] : ( ( list(X0) * set(X0) ) > X0 ) ).

tff(func_def_2940,type,
    sK1611: nat > nat ).

tff(func_def_2941,type,
    sK1612: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_2942,type,
    sK1613: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_2943,type,
    sK1614: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_2944,type,
    sK1615: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_2945,type,
    sK1616: 
      !>[X0: $tType] : ( ( set(set(X0)) * X0 ) > set(X0) ) ).

tff(func_def_2946,type,
    sK1617: 
      !>[X0: $tType] : ( ( X0 * set(X0) ) > set(X0) ) ).

tff(func_def_2947,type,
    sK1618: 
      !>[X0: $tType] : ( ( X0 * set(X0) ) > set(X0) ) ).

tff(func_def_2948,type,
    sK1619: 
      !>[X0: $tType] : ( ( list(X0) * fun(X0,$o) ) > X0 ) ).

tff(func_def_2949,type,
    sK1620: 
      !>[X0: $tType] : ( ( X0 * list(X0) ) > nat ) ).

tff(func_def_2950,type,
    sK1621: 
      !>[X0: $tType] : ( ( list(X0) * fun(X0,$o) ) > nat ) ).

tff(func_def_2951,type,
    sK1622: 
      !>[X0: $tType] : ( ( list(X0) * fun(X0,$o) ) > nat ) ).

tff(func_def_2952,type,
    sK1623: 
      !>[X0: $tType] : ( ( list(X0) * fun(X0,$o) ) > X0 ) ).

tff(func_def_2953,type,
    sK1624: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) ) > nat ) ).

tff(func_def_2954,type,
    sK1625: 
      !>[X0: $tType] : ( ( fun(nat,fun(X0,$o)) * nat ) > X0 ) ).

tff(func_def_2955,type,
    sK1626: 
      !>[X0: $tType] : ( ( nat * fun(nat,fun(X0,$o)) * list(X0) ) > nat ) ).

tff(func_def_2956,type,
    sK1627: 
      !>[X0: $tType] : ( ( nat * fun(nat,fun(X0,$o)) ) > list(X0) ) ).

tff(func_def_2957,type,
    sK1628: 
      !>[X0: $tType] : ( ( nat * fun(nat,fun(X0,$o)) ) > nat ) ).

tff(func_def_2958,type,
    sK1629: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) ) > nat ) ).

tff(func_def_2959,type,
    sK1630: 
      !>[X0: $tType] : ( ( list(X0) * fun(X0,$o) ) > X0 ) ).

tff(func_def_2960,type,
    sK1631: ( vEBT_VEBT * list(vEBT_VEBT) * nat ) > nat ).

tff(func_def_2961,type,
    sK1632: ( vEBT_VEBT * list(vEBT_VEBT) * nat ) > nat ).

tff(func_def_2962,type,
    sK1633: ( nat * nat * list(vEBT_VEBT) * nat * nat ) > nat ).

tff(func_def_2963,type,
    sK1634: ( nat * nat * list(vEBT_VEBT) * nat * nat ) > nat ).

tff(func_def_2964,type,
    sK1635: list(vEBT_VEBT) > vEBT_VEBT ).

tff(func_def_2965,type,
    sK1636: list(vEBT_VEBT) > nat ).

tff(func_def_2966,type,
    sK1637: ( list(vEBT_VEBT) * nat ) > vEBT_VEBT ).

tff(func_def_2967,type,
    sK1638: ( vEBT_VEBT * list(vEBT_VEBT) * nat ) > nat ).

tff(func_def_2968,type,
    sK1639: ( vEBT_VEBT * list(vEBT_VEBT) * nat ) > nat ).

tff(func_def_2969,type,
    sK1640: ( nat * nat * list(vEBT_VEBT) * nat * nat ) > nat ).

tff(func_def_2970,type,
    sK1641: ( nat * nat * list(vEBT_VEBT) * nat * nat ) > nat ).

tff(func_def_2971,type,
    sK1642: list(vEBT_VEBT) > vEBT_VEBT ).

tff(func_def_2972,type,
    sK1643: list(vEBT_VEBT) > nat ).

tff(func_def_2973,type,
    sK1644: ( list(vEBT_VEBT) * nat ) > vEBT_VEBT ).

tff(func_def_2974,type,
    sK1645: list(vEBT_VEBT) > vEBT_VEBT ).

tff(func_def_2975,type,
    sK1646: list(vEBT_VEBT) > nat ).

tff(func_def_2976,type,
    sK1647: vEBT_VEBT > nat ).

tff(func_def_2977,type,
    sK1648: ( list(vEBT_VEBT) * nat ) > vEBT_VEBT ).

tff(func_def_2978,type,
    sK1649: list(vEBT_VEBT) > vEBT_VEBT ).

tff(func_def_2979,type,
    sK1650: list(vEBT_VEBT) > nat ).

tff(func_def_2980,type,
    sK1651: vEBT_VEBT > nat ).

tff(func_def_2981,type,
    sK1652: ( list(vEBT_VEBT) * nat ) > vEBT_VEBT ).

tff(func_def_2982,type,
    sK1653: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( product_prod(X2,X1) * fun(X2,fun(X1,X0)) * fun(X2,fun(X1,X0)) ) > X2 ) ).

tff(func_def_2983,type,
    sK1654: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( product_prod(X2,X1) * fun(X2,fun(X1,X0)) * fun(X2,fun(X1,X0)) ) > X1 ) ).

tff(func_def_2984,type,
    sK1655: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( fun(X1,fun(X0,fun(X2,$o))) * product_prod(X1,X0) * X2 ) > X1 ) ).

tff(func_def_2985,type,
    sK1656: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( fun(X1,fun(X0,fun(X2,$o))) * product_prod(X1,X0) * X2 ) > X0 ) ).

tff(func_def_2986,type,
    sK1657: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,fun(X1,$o)) * product_prod(X0,X1) ) > X0 ) ).

tff(func_def_2987,type,
    sK1658: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,fun(X1,$o)) * product_prod(X0,X1) ) > X1 ) ).

tff(func_def_2988,type,
    sK1659: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( X1 * fun(X0,fun(X2,set(X1))) * product_prod(X0,X2) ) > X0 ) ).

tff(func_def_2989,type,
    sK1660: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( X1 * fun(X0,fun(X2,set(X1))) * product_prod(X0,X2) ) > X2 ) ).

tff(func_def_2990,type,
    sK1661: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( product_prod(X0,X1) * fun(X0,fun(X1,fun(X2,$o))) * X2 ) > X0 ) ).

tff(func_def_2991,type,
    sK1662: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( product_prod(X0,X1) * fun(X0,fun(X1,fun(X2,$o))) * X2 ) > X1 ) ).

tff(func_def_2992,type,
    sK1663: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( product_prod(X2,X1) * X0 * fun(X2,fun(X1,set(X0))) ) > X2 ) ).

tff(func_def_2993,type,
    sK1664: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( product_prod(X2,X1) * X0 * fun(X2,fun(X1,set(X0))) ) > X1 ) ).

tff(func_def_2994,type,
    sK1665: 
      !>[X0: $tType,X1: $tType] : ( ( product_prod(X1,X0) * fun(X1,fun(X0,$o)) ) > X1 ) ).

tff(func_def_2995,type,
    sK1666: 
      !>[X0: $tType,X1: $tType] : ( ( product_prod(X1,X0) * fun(X1,fun(X0,$o)) ) > X0 ) ).

tff(func_def_2996,type,
    sK1667: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( fun(X2,fun(X1,X0)) * fun(product_prod(X2,X1),X0) ) > X2 ) ).

tff(func_def_2997,type,
    sK1668: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( fun(X2,fun(X1,X0)) * fun(product_prod(X2,X1),X0) ) > X1 ) ).

tff(func_def_2998,type,
    sK1669: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( fun(X1,$o) * fun(X0,fun(X2,X1)) * product_prod(X0,X2) ) > X0 ) ).

tff(func_def_2999,type,
    sK1670: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( fun(X1,$o) * fun(X0,fun(X2,X1)) * product_prod(X0,X2) ) > X2 ) ).

tff(func_def_3000,type,
    sK1671: ( fun(nat,$o) * nat * nat ) > nat ).

tff(func_def_3001,type,
    sK1672: ( fun(nat,$o) * nat * nat ) > nat ).

tff(func_def_3002,type,
    sK1673: fun(nat,$o) > nat ).

tff(func_def_3003,type,
    sK1674: 
      !>[X0: $tType] : ( ( set(X0) * set(X0) ) > X0 ) ).

tff(func_def_3004,type,
    sK1675: fun(int,$o) > int ).

tff(func_def_3005,type,
    sK1676: fun(int,$o) > int ).

tff(func_def_3006,type,
    sK1677: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_3007,type,
    sK1678: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_3008,type,
    sK1679: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_3009,type,
    sK1680: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_3010,type,
    sK1681: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_3011,type,
    sK1682: 
      !>[X0: $tType,X1: $tType] : ( fun(X1,X0) > X1 ) ).

tff(func_def_3012,type,
    sK1683: 
      !>[X0: $tType,X1: $tType] : ( fun(X1,X0) > X1 ) ).

tff(func_def_3013,type,
    sK1684: 
      !>[X0: $tType,X1: $tType] : ( fun(X0,X1) > X0 ) ).

tff(func_def_3014,type,
    sK1685: 
      !>[X0: $tType,X1: $tType] : ( fun(X0,X1) > X0 ) ).

tff(func_def_3015,type,
    sK1686: 
      !>[X0: $tType,X1: $tType] : ( fun(X1,X0) > X1 ) ).

tff(func_def_3016,type,
    sK1687: 
      !>[X0: $tType,X1: $tType] : ( fun(X1,X0) > X1 ) ).

tff(func_def_3017,type,
    sK1688: 
      !>[X0: $tType,X1: $tType] : ( fun(X0,X1) > X0 ) ).

tff(func_def_3018,type,
    sK1689: 
      !>[X0: $tType,X1: $tType] : ( fun(X0,X1) > X0 ) ).

tff(func_def_3019,type,
    sK1690: 
      !>[X0: $tType] : ( fun(nat,X0) > nat ) ).

tff(func_def_3020,type,
    sK1691: 
      !>[X0: $tType] : ( fun(nat,X0) > nat ) ).

tff(func_def_3021,type,
    sK1692: 
      !>[X0: $tType,X1: $tType] : ( fun(X0,X1) > X0 ) ).

tff(func_def_3022,type,
    sK1693: 
      !>[X0: $tType,X1: $tType] : ( fun(X0,X1) > X0 ) ).

tff(func_def_3023,type,
    sK1694: 
      !>[X0: $tType,X1: $tType] : ( fun(X1,X0) > X1 ) ).

tff(func_def_3024,type,
    sK1695: 
      !>[X0: $tType,X1: $tType] : ( fun(X1,X0) > X1 ) ).

tff(func_def_3025,type,
    sK1696: 
      !>[X0: $tType] : ( fun(nat,X0) > nat ) ).

tff(func_def_3026,type,
    sK1697: 
      !>[X0: $tType] : ( fun(nat,X0) > nat ) ).

tff(func_def_3027,type,
    sK1698: 
      !>[X0: $tType,X1: $tType] : ( fun(X0,X1) > X0 ) ).

tff(func_def_3028,type,
    sK1699: 
      !>[X0: $tType,X1: $tType] : ( fun(X0,X1) > X0 ) ).

tff(func_def_3029,type,
    sK1700: 
      !>[X0: $tType,X1: $tType] : ( fun(X1,X0) > X1 ) ).

tff(func_def_3030,type,
    sK1701: 
      !>[X0: $tType,X1: $tType] : ( fun(X1,X0) > X1 ) ).

tff(func_def_3031,type,
    sK1702: 
      !>[X0: $tType] : ( X0 > X0 ) ).

tff(func_def_3032,type,
    sK1703: 
      !>[X0: $tType] : ( X0 > X0 ) ).

tff(func_def_3033,type,
    sK1704: 
      !>[X0: $tType] : ( X0 > X0 ) ).

tff(func_def_3034,type,
    sK1705: 
      !>[X0: $tType] : ( X0 > X0 ) ).

tff(func_def_3035,type,
    sK1706: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_3036,type,
    sK1707: 
      !>[X0: $tType,X1: $tType] : ( ( fun(set(X1),$o) * fun(X1,X0) ) > X1 ) ).

tff(func_def_3037,type,
    sK1708: 
      !>[X0: $tType,X1: $tType] : ( ( fun(set(X1),$o) * fun(X1,X0) ) > set(X1) ) ).

tff(func_def_3038,type,
    sK1709: 
      !>[X0: $tType] : ( fun(set(X0),$o) > X0 ) ).

tff(func_def_3039,type,
    sK1710: 
      !>[X0: $tType] : ( fun(set(X0),$o) > set(X0) ) ).

tff(func_def_3040,type,
    sK1711: 
      !>[X0: $tType] : ( fun(set(X0),$o) > X0 ) ).

tff(func_def_3041,type,
    sK1712: 
      !>[X0: $tType] : ( fun(set(X0),$o) > set(X0) ) ).

tff(func_def_3042,type,
    sK1713: 
      !>[X0: $tType] : ( fun(X0,fun(X0,$o)) > X0 ) ).

tff(func_def_3043,type,
    sK1714: 
      !>[X0: $tType] : ( fun(X0,fun(X0,$o)) > X0 ) ).

tff(func_def_3044,type,
    sK1715: 
      !>[X0: $tType] : ( fun(X0,fun(X0,$o)) > X0 ) ).

tff(func_def_3045,type,
    sK1716: 
      !>[X0: $tType] : ( fun(X0,fun(X0,$o)) > X0 ) ).

tff(func_def_3046,type,
    sK1717: 
      !>[X0: $tType] : ( fun(X0,fun(X0,$o)) > X0 ) ).

tff(func_def_3047,type,
    sK1718: 
      !>[X0: $tType] : ( fun(X0,fun(X0,$o)) > X0 ) ).

tff(func_def_3048,type,
    sK1719: 
      !>[X0: $tType] : ( fun(X0,fun(X0,$o)) > X0 ) ).

tff(func_def_3049,type,
    sK1720: 
      !>[X0: $tType] : ( fun(X0,fun(X0,$o)) > X0 ) ).

tff(func_def_3050,type,
    sK1721: 
      !>[X0: $tType] : ( fun(X0,fun(X0,$o)) > X0 ) ).

tff(func_def_3051,type,
    sK1722: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_3052,type,
    sK1723: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_3053,type,
    sK1724: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_3054,type,
    sK1725: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_3055,type,
    sK1726: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_3056,type,
    sK1727: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_3057,type,
    sK1728: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_3058,type,
    sK1729: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,X0) * fun(X1,X0) ) > X1 ) ).

tff(func_def_3059,type,
    sK1730: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_3060,type,
    sK1731: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,X0) * fun(X1,X0) ) > X1 ) ).

tff(func_def_3061,type,
    sK1732: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_3062,type,
    sK1733: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,fun(X0,$o)) * set(X1) * fun(X1,X0) * fun(X1,X0) ) > X1 ) ).

tff(func_def_3063,type,
    sK1734: 
      !>[X0: $tType] : ( fun(X0,fun(X0,$o)) > X0 ) ).

tff(func_def_3064,type,
    sK1735: 
      !>[X0: $tType] : ( fun(X0,fun(X0,$o)) > X0 ) ).

tff(func_def_3065,type,
    sK1736: 
      !>[X0: $tType] : ( fun(X0,fun(X0,$o)) > X0 ) ).

tff(func_def_3066,type,
    sK1737: 
      !>[X0: $tType] : ( fun(X0,fun(X0,$o)) > X0 ) ).

tff(func_def_3067,type,
    sK1738: 
      !>[X0: $tType] : ( ( set(nat) * fun(nat,X0) * fun(nat,X0) ) > nat ) ).

tff(func_def_3068,type,
    sK1739: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_3069,type,
    sK1740: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_3070,type,
    sK1741: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_3071,type,
    sK1742: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_3072,type,
    sK1743: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_3073,type,
    sK1744: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_3074,type,
    sK1745: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,X0) * fun(X1,X0) ) > X1 ) ).

tff(func_def_3075,type,
    sK1746: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_3076,type,
    sK1747: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,X0) * fun(X1,X0) ) > X1 ) ).

tff(func_def_3077,type,
    sK1748: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_3078,type,
    sK1749: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,X0) * fun(X1,X0) ) > X1 ) ).

tff(func_def_3079,type,
    sK1750: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,X0) * fun(X1,X0) ) > X1 ) ).

tff(func_def_3080,type,
    sK1751: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,X1) * X1 ) > X0 ) ).

tff(func_def_3081,type,
    sK1752: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,X1) * X1 ) > X0 ) ).

tff(func_def_3082,type,
    sK1753: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * X1 * fun(X0,X1) ) > X0 ) ).

tff(func_def_3083,type,
    sK1754: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * X1 * fun(X0,X1) ) > X0 ) ).

tff(func_def_3084,type,
    sK1755: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * X0 * fun(X1,X0) ) > X1 ) ).

tff(func_def_3085,type,
    sK1756: 
      !>[X0: $tType,X1: $tType] : ( ( X0 * fun(X1,X0) * set(X1) ) > X1 ) ).

tff(func_def_3086,type,
    sK1757: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * fun(X1,X0) ) > X1 ) ).

tff(func_def_3087,type,
    sK1758: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( set(X2) * set(X0) * fun(X0,X1) * fun(X2,X1) ) > X2 ) ).

tff(func_def_3088,type,
    sK1759: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * X1 * fun(X0,X1) ) > X1 ) ).

tff(func_def_3089,type,
    sK1760: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * X1 * fun(X0,X1) ) > X0 ) ).

tff(func_def_3090,type,
    sK1761: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * set(X0) * X1 ) > X0 ) ).

tff(func_def_3091,type,
    sK1762: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * fun(X1,X0) ) > X1 ) ).

tff(func_def_3092,type,
    sK1763: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,X1) * X1 ) > X0 ) ).

tff(func_def_3093,type,
    sK1764: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( set(X0) * set(X2) * fun(X0,X1) * fun(X2,X1) ) > X0 ) ).

tff(func_def_3094,type,
    sK1765: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,X1) * X1 ) > X1 ) ).

tff(func_def_3095,type,
    sK1766: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,X1) * X1 ) > X0 ) ).

tff(func_def_3096,type,
    sK1767: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,X1) * X1 ) > X0 ) ).

tff(func_def_3097,type,
    sK1768: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,X1) * X1 ) > X0 ) ).

tff(func_def_3098,type,
    sK1769: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( set(X0) * set(X2) * fun(X2,X1) * fun(X0,X1) ) > X2 ) ).

tff(func_def_3099,type,
    sK1770: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( set(X0) * set(X2) * fun(X2,X1) * fun(X0,X1) ) > X0 ) ).

tff(func_def_3100,type,
    sK1771: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( set(X0) * set(X2) * fun(X0,X1) * fun(X2,X1) ) > X2 ) ).

tff(func_def_3101,type,
    sK1772: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( set(X0) * set(X2) * fun(X0,X1) * fun(X2,X1) ) > X0 ) ).

tff(func_def_3102,type,
    sK1773: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * set(X0) ) > X0 ) ).

tff(func_def_3103,type,
    sK1774: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * set(X0) ) > X0 ) ).

tff(func_def_3104,type,
    sK1775: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_3105,type,
    sK1776: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_3106,type,
    sK1777: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_3107,type,
    sK1778: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_3108,type,
    sK1779: 
      !>[X0: $tType] : ( ( X0 * set(X0) ) > X0 ) ).

tff(func_def_3109,type,
    sK1780: 
      !>[X0: $tType] : ( ( set(X0) * set(X0) ) > X0 ) ).

tff(func_def_3110,type,
    sK1781: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_3111,type,
    sK1782: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_3112,type,
    sK1783: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_3113,type,
    sK1784: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_3114,type,
    sK1785: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_3115,type,
    sK1786: 
      !>[X0: $tType] : ( ( set(X0) * set(X0) ) > X0 ) ).

tff(func_def_3116,type,
    sK1787: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_3117,type,
    sK1788: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_3118,type,
    sK1789: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_3119,type,
    sK1790: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_3120,type,
    sK1791: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_3121,type,
    sK1792: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_3122,type,
    sK1793: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * X0 * fun(X1,X0) ) > X1 ) ).

tff(func_def_3123,type,
    sK1794: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,X1) * X1 ) > X0 ) ).

tff(func_def_3124,type,
    sK1795: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_3125,type,
    sK1796: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_3126,type,
    sK1797: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_3127,type,
    sK1798: 
      !>[X0: $tType] : ( ( X0 * set(X0) ) > X0 ) ).

tff(func_def_3128,type,
    sK1799: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_3129,type,
    sK1800: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_3130,type,
    sK1801: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_3131,type,
    sK1802: 
      !>[X0: $tType] : ( ( X0 * set(X0) ) > X0 ) ).

tff(func_def_3132,type,
    sK1803: ( fun(nat,$o) * nat * nat ) > nat ).

tff(func_def_3133,type,
    sK1804: ( fun(nat,$o) * nat * nat ) > nat ).

tff(func_def_3134,type,
    sK1805: ( fun(nat,$o) * nat * nat ) > nat ).

tff(func_def_3135,type,
    sK1806: 
      !>[X0: $tType] : ( fun(nat,X0) > nat ) ).

tff(func_def_3136,type,
    sK1807: 
      !>[X0: $tType] : ( fun(nat,X0) > nat ) ).

tff(func_def_3137,type,
    sK1808: 
      !>[X0: $tType] : ( fun(nat,X0) > nat ) ).

tff(func_def_3138,type,
    sK1809: 
      !>[X0: $tType] : ( fun(nat,X0) > nat ) ).

tff(func_def_3139,type,
    sK1810: 
      !>[X0: $tType,X1: $tType] : ( fun(X1,X0) > X1 ) ).

tff(func_def_3140,type,
    sK1811: 
      !>[X0: $tType,X1: $tType] : ( fun(X1,X0) > X1 ) ).

tff(func_def_3141,type,
    sK1812: 
      !>[X0: $tType,X1: $tType] : ( fun(X1,X0) > X1 ) ).

tff(func_def_3142,type,
    sK1813: 
      !>[X0: $tType,X1: $tType] : ( fun(X1,X0) > X1 ) ).

tff(func_def_3143,type,
    sK1814: 
      !>[X0: $tType] : ( fun(nat,X0) > nat ) ).

tff(func_def_3144,type,
    sK1815: 
      !>[X0: $tType] : ( fun(nat,X0) > nat ) ).

tff(func_def_3145,type,
    sK1816: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * set(X0) ) > fun(X1,X0) ) ).

tff(func_def_3146,type,
    sK1817: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * set(X1) * set(X0) ) > X1 ) ).

tff(func_def_3147,type,
    sK1818: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * set(X1) * fun(set(X0),$o) ) > set(X0) ) ).

tff(func_def_3148,type,
    sK1819: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * set(X1) * fun(set(X0),$o) ) > set(X1) ) ).

tff(func_def_3149,type,
    sK1820: 
      !>[X0: $tType] : ( set(X0) > fun(nat,X0) ) ).

tff(func_def_3150,type,
    sK1821: 
      !>[X0: $tType] : ( set(X0) > fun(nat,X0) ) ).

tff(func_def_3151,type,
    sK1822: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * set(X1) * fun(set(X0),$o) ) > set(X1) ) ).

tff(func_def_3152,type,
    sK1823: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * set(X1) * fun(set(X0),$o) ) > set(X0) ) ).

tff(func_def_3153,type,
    sK1824: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * set(X0) ) > fun(X1,X0) ) ).

tff(func_def_3154,type,
    sK1825: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * set(X1) ) > fun(X0,X1) ) ).

tff(func_def_3155,type,
    sK1826: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,X0) * X0 ) > X1 ) ).

tff(func_def_3156,type,
    sK1827: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * set(X0) * fun(X1,X0) ) > X0 ) ).

tff(func_def_3157,type,
    sK1828: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( set(X2) * fun(X1,X0) * fun(X2,set(X1)) ) > X2 ) ).

tff(func_def_3158,type,
    sK1829: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( set(X2) * fun(X2,set(X1)) * fun(X1,X0) ) > X2 ) ).

tff(func_def_3159,type,
    sK1830: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,set(X0)) ) > X1 ) ).

tff(func_def_3160,type,
    sK1831: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,set(X0)) ) > X1 ) ).

tff(func_def_3161,type,
    sK1832: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * set(X0) ) > fun(X1,X0) ) ).

tff(func_def_3162,type,
    sK1833: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * set(X0) ) > fun(X0,X1) ) ).

tff(func_def_3163,type,
    sK1834: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X1,X0) * set(X1) ) > set(X1) ) ).

tff(func_def_3164,type,
    sK1835: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * set(X1) * X0 * set(X0) ) > X1 ) ).

tff(func_def_3165,type,
    sK1836: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * set(X1) * X0 * set(X0) ) > set(X1) ) ).

tff(func_def_3166,type,
    sK1837: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * set(X1) ) > X1 ) ).

tff(func_def_3167,type,
    sK1838: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * set(X1) ) > X1 ) ).

tff(func_def_3168,type,
    sK1839: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_3169,type,
    sK1840: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_3170,type,
    sK1841: 
      !>[X0: $tType] : ( fun(X0,$o) > X0 ) ).

tff(func_def_3171,type,
    sK1842: 
      !>[X0: $tType] : ( fun(X0,$o) > X0 ) ).

tff(func_def_3172,type,
    sK1843: 
      !>[X0: $tType] : ( fun(X0,$o) > X0 ) ).

tff(func_def_3173,type,
    sK1844: 
      !>[X0: $tType] : ( fun(X0,$o) > X0 ) ).

tff(func_def_3174,type,
    sK1845: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_3175,type,
    sK1846: 
      !>[X0: $tType] : X0 ).

tff(func_def_3176,type,
    sK1847: 
      !>[X0: $tType,X1: $tType] : ( ( X0 * fun(X1,X0) ) > X1 ) ).

tff(func_def_3177,type,
    sK1848: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * set(X1) * fun(set(X0),$o) ) > set(X1) ) ).

tff(func_def_3178,type,
    sK1849: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * set(X1) * fun(set(X0),$o) ) > set(X0) ) ).

tff(func_def_3179,type,
    sK1850: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X1,X0) * set(X1) ) > set(X1) ) ).

tff(func_def_3180,type,
    sK1851: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * set(X0) * set(X1) ) > X0 ) ).

tff(func_def_3181,type,
    sK1852: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X1,X0) * set(X1) ) > set(X1) ) ).

tff(func_def_3182,type,
    sK1853: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,X1) * set(X1) ) > X0 ) ).

tff(func_def_3183,type,
    sK1854: 
      !>[X0: $tType,X1: $tType] : ( ( X0 * fun(X1,X0) * set(X1) ) > X1 ) ).

tff(func_def_3184,type,
    sK1855: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * set(X1) * fun(X0,$o) ) > X0 ) ).

tff(func_def_3185,type,
    sK1856: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,X0) * fun(X1,X0) ) > X1 ) ).

tff(func_def_3186,type,
    sK1857: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * set(X1) * fun(X0,$o) ) > X1 ) ).

tff(func_def_3187,type,
    sK1858: 
      !>[X0: $tType,X1: $tType] : ( ( X0 * fun(X1,X0) * set(X1) ) > X1 ) ).

tff(func_def_3188,type,
    sK1859: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( fun(X0,set(X2)) * set(product_prod(X1,X1)) ) > X0 ) ).

tff(func_def_3189,type,
    sK1860: 
      !>[X0: $tType] : ( set(set(X0)) > set(X0) ) ).

tff(func_def_3190,type,
    sK1861: 
      !>[X0: $tType] : ( set(set(X0)) > set(X0) ) ).

tff(func_def_3191,type,
    sK1862: 
      !>[X0: $tType] : ( set(set(X0)) > set(X0) ) ).

tff(func_def_3192,type,
    sK1863: 
      !>[X0: $tType] : ( set(set(X0)) > set(X0) ) ).

tff(func_def_3193,type,
    sK1864: 
      !>[X0: $tType] : ( set(set(X0)) > set(X0) ) ).

tff(func_def_3194,type,
    sK1865: 
      !>[X0: $tType] : ( set(set(X0)) > set(X0) ) ).

tff(func_def_3195,type,
    sK1866: 
      !>[X0: $tType,X1: $tType] : ( fun(X1,X0) > X1 ) ).

tff(func_def_3196,type,
    sK1867: 
      !>[X0: $tType,X1: $tType] : ( fun(X1,X0) > X1 ) ).

tff(func_def_3197,type,
    sK1868: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X1,X0) * set(X1) ) > set(X1) ) ).

tff(func_def_3198,type,
    sK1869: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * set(X1) * fun(set(X0),$o) ) > set(X0) ) ).

tff(func_def_3199,type,
    sK1870: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * set(X1) * fun(set(X0),$o) ) > set(X1) ) ).

tff(func_def_3200,type,
    sK1871: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * set(X1) * fun(set(X0),$o) ) > set(X1) ) ).

tff(func_def_3201,type,
    sK1872: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * set(X1) * fun(set(X0),$o) ) > set(X0) ) ).

tff(func_def_3202,type,
    sK1873: set(nat) > nat ).

tff(func_def_3203,type,
    sK1874: ( set(nat) * nat ) > nat ).

tff(func_def_3204,type,
    sK1875: 
      !>[X0: $tType] : ( ( set(X0) * fun(X0,fun(X0,$o)) ) > X0 ) ).

tff(func_def_3205,type,
    sK1876: 
      !>[X0: $tType] : ( fun(X0,fun(X0,$o)) > X0 ) ).

tff(func_def_3206,type,
    sK1877: 
      !>[X0: $tType] : ( fun(X0,fun(X0,$o)) > X0 ) ).

tff(func_def_3207,type,
    sK1878: 
      !>[X0: $tType] : ( fun(X0,fun(X0,$o)) > X0 ) ).

tff(func_def_3208,type,
    sK1879: 
      !>[X0: $tType] : ( fun(X0,fun(X0,$o)) > X0 ) ).

tff(func_def_3209,type,
    sK1880: 
      !>[X0: $tType] : ( fun(set(X0),$o) > set(X0) ) ).

tff(func_def_3210,type,
    sK1881: 
      !>[X0: $tType] : ( fun(set(X0),$o) > X0 ) ).

tff(func_def_3211,type,
    sK1882: 
      !>[X0: $tType] : ( fun(set(X0),$o) > set(X0) ) ).

tff(func_def_3212,type,
    sK1883: 
      !>[X0: $tType] : ( ( set(X0) * fun(set(X0),$o) ) > X0 ) ).

tff(func_def_3213,type,
    sK1884: 
      !>[X0: $tType] : ( ( set(X0) * fun(set(X0),$o) ) > set(X0) ) ).

tff(func_def_3214,type,
    sK1885: 
      !>[X0: $tType] : ( ( set(X0) * fun(set(X0),$o) ) > X0 ) ).

tff(func_def_3215,type,
    sK1886: 
      !>[X0: $tType] : ( ( set(X0) * fun(set(X0),$o) ) > set(X0) ) ).

tff(func_def_3216,type,
    sK1887: 
      !>[X0: $tType] : ( set(X0) > set(X0) ) ).

tff(func_def_3217,type,
    sK1888: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_3218,type,
    sK1889: 
      !>[X0: $tType] : ( set(X0) > set(X0) ) ).

tff(func_def_3219,type,
    sK1890: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_3220,type,
    sK1891: 
      !>[X0: $tType] : ( fun(set(X0),$o) > X0 ) ).

tff(func_def_3221,type,
    sK1892: 
      !>[X0: $tType] : ( fun(set(X0),$o) > set(X0) ) ).

tff(func_def_3222,type,
    sK1893: 
      !>[X0: $tType] : ( fun(set(X0),$o) > X0 ) ).

tff(func_def_3223,type,
    sK1894: 
      !>[X0: $tType] : ( fun(set(X0),$o) > set(X0) ) ).

tff(func_def_3224,type,
    sK1895: 
      !>[X0: $tType] : ( fun(set(X0),$o) > X0 ) ).

tff(func_def_3225,type,
    sK1896: 
      !>[X0: $tType] : ( fun(set(X0),$o) > X0 ) ).

tff(func_def_3226,type,
    sK1897: 
      !>[X0: $tType] : ( fun(set(X0),$o) > set(X0) ) ).

tff(func_def_3227,type,
    sK1898: 
      !>[X0: $tType] : ( fun(set(X0),$o) > set(X0) ) ).

tff(func_def_3228,type,
    sK1899: 
      !>[X0: $tType] : ( ( set(X0) * fun(set(X0),$o) ) > set(X0) ) ).

tff(func_def_3229,type,
    sK1900: 
      !>[X0: $tType] : ( ( fun(set(X0),$o) * set(X0) ) > set(X0) ) ).

tff(func_def_3230,type,
    sK1901: 
      !>[X0: $tType] : ( ( set(X0) * fun(set(X0),$o) ) > set(X0) ) ).

tff(func_def_3231,type,
    sK1902: ( set(nat) * nat ) > nat ).

tff(func_def_3232,type,
    sK1903: set(nat) > nat ).

tff(func_def_3233,type,
    sK1904: ( nat * fun(nat,$o) ) > nat ).

tff(func_def_3234,type,
    sK1905: ( nat * fun(nat,$o) ) > nat ).

tff(func_def_3235,type,
    sK1906: ( nat * fun(nat,$o) ) > nat ).

tff(func_def_3236,type,
    sK1907: ( nat * fun(nat,$o) ) > nat ).

tff(func_def_3237,type,
    sK1908: 
      !>[X0: $tType] : ( ( set(X0) * fun(X0,$o) ) > X0 ) ).

tff(func_def_3238,type,
    sK1909: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,$o) * fun(X0,X1) * set(X1) ) > X0 ) ).

tff(func_def_3239,type,
    sK1910: 
      !>[X0: $tType] : ( ( set(X0) * fun(X0,$o) * fun(X0,$o) ) > X0 ) ).

tff(func_def_3240,type,
    sK1911: 
      !>[X0: $tType] : ( ( fun(X0,$o) * fun(X0,$o) ) > X0 ) ).

tff(func_def_3241,type,
    sK1912: 
      !>[X0: $tType] : ( ( fun(X0,$o) * fun(X0,$o) ) > X0 ) ).

tff(func_def_3242,type,
    sK1913: 
      !>[X0: $tType] : ( fun(X0,$o) > X0 ) ).

tff(func_def_3243,type,
    sK1914: 
      !>[X0: $tType] : ( fun(X0,$o) > X0 ) ).

tff(func_def_3244,type,
    sK1915: 
      !>[X0: $tType] : ( ( fun(X0,$o) * fun(X0,$o) ) > X0 ) ).

tff(func_def_3245,type,
    sK1916: 
      !>[X0: $tType] : ( ( set(X0) * set(X0) * set(X0) ) > set(X0) ) ).

tff(func_def_3246,type,
    sK1917: 
      !>[X0: $tType] : ( ( set(X0) * set(X0) * set(X0) ) > set(X0) ) ).

tff(func_def_3247,type,
    sK1918: 
      !>[X0: $tType] : ( ( set(X0) * fun(X0,$o) ) > X0 ) ).

tff(func_def_3248,type,
    sK1919: 
      !>[X0: $tType] : ( ( set(X0) * fun(X0,$o) ) > X0 ) ).

tff(func_def_3249,type,
    sK1920: 
      !>[X0: $tType] : ( ( set(X0) * set(X0) * fun(X0,$o) ) > X0 ) ).

tff(func_def_3250,type,
    sK1921: 
      !>[X0: $tType] : ( ( set(X0) * set(X0) * fun(X0,$o) ) > X0 ) ).

tff(func_def_3251,type,
    sK1922: 
      !>[X0: $tType] : ( ( set(X0) * fun(X0,$o) ) > X0 ) ).

tff(func_def_3252,type,
    sK1923: 
      !>[X0: $tType] : ( ( set(X0) * fun(X0,$o) ) > X0 ) ).

tff(func_def_3253,type,
    sK1924: 
      !>[X0: $tType,X1: $tType] : ( ( option(X0) * option(X1) * fun(option(X1),fun(option(X0),$o)) ) > X1 ) ).

tff(func_def_3254,type,
    sK1925: 
      !>[X0: $tType,X1: $tType] : ( ( option(X0) * option(X1) * fun(option(X1),fun(option(X0),$o)) ) > X0 ) ).

tff(func_def_3255,type,
    sK1926: 
      !>[X0: $tType] : ( fun(option(X0),$o) > X0 ) ).

tff(func_def_3256,type,
    sK1927: 
      !>[X0: $tType] : ( fun(option(X0),$o) > option(X0) ) ).

tff(func_def_3257,type,
    sK1928: 
      !>[X0: $tType] : ( fun(option(X0),$o) > option(X0) ) ).

tff(func_def_3258,type,
    sK1929: 
      !>[X0: $tType] : ( fun(option(X0),$o) > X0 ) ).

tff(func_def_3259,type,
    sK1930: 
      !>[X0: $tType] : ( option(X0) > X0 ) ).

tff(func_def_3260,type,
    sK1931: 
      !>[X0: $tType] : ( product_prod(fun(X0,fun(X0,X0)),product_prod(option(X0),option(X0))) > fun(X0,fun(X0,X0)) ) ).

tff(func_def_3261,type,
    sK1932: 
      !>[X0: $tType] : ( product_prod(fun(X0,fun(X0,X0)),product_prod(option(X0),option(X0))) > X0 ) ).

tff(func_def_3262,type,
    sK1933: 
      !>[X0: $tType] : ( product_prod(fun(X0,fun(X0,X0)),product_prod(option(X0),option(X0))) > X0 ) ).

tff(func_def_3263,type,
    sK1934: 
      !>[X0: $tType] : ( product_prod(fun(X0,fun(X0,X0)),product_prod(option(X0),option(X0))) > fun(X0,fun(X0,X0)) ) ).

tff(func_def_3264,type,
    sK1935: 
      !>[X0: $tType] : ( product_prod(fun(X0,fun(X0,X0)),product_prod(option(X0),option(X0))) > X0 ) ).

tff(func_def_3265,type,
    sK1936: 
      !>[X0: $tType] : ( product_prod(fun(X0,fun(X0,X0)),product_prod(option(X0),option(X0))) > fun(X0,fun(X0,X0)) ) ).

tff(func_def_3266,type,
    sK1937: 
      !>[X0: $tType] : ( product_prod(fun(X0,fun(X0,X0)),product_prod(option(X0),option(X0))) > option(X0) ) ).

tff(func_def_3267,type,
    sK1938: 
      !>[X0: $tType] : ( product_prod(fun(X0,fun(X0,$o)),product_prod(option(X0),option(X0))) > fun(X0,fun(X0,$o)) ) ).

tff(func_def_3268,type,
    sK1939: 
      !>[X0: $tType] : ( product_prod(fun(X0,fun(X0,$o)),product_prod(option(X0),option(X0))) > X0 ) ).

tff(func_def_3269,type,
    sK1940: 
      !>[X0: $tType] : ( product_prod(fun(X0,fun(X0,$o)),product_prod(option(X0),option(X0))) > X0 ) ).

tff(func_def_3270,type,
    sK1941: 
      !>[X0: $tType] : ( product_prod(fun(X0,fun(X0,$o)),product_prod(option(X0),option(X0))) > fun(X0,fun(X0,$o)) ) ).

tff(func_def_3271,type,
    sK1942: 
      !>[X0: $tType] : ( product_prod(fun(X0,fun(X0,$o)),product_prod(option(X0),option(X0))) > X0 ) ).

tff(func_def_3272,type,
    sK1943: 
      !>[X0: $tType] : ( product_prod(fun(X0,fun(X0,$o)),product_prod(option(X0),option(X0))) > fun(X0,fun(X0,$o)) ) ).

tff(func_def_3273,type,
    sK1944: 
      !>[X0: $tType] : ( product_prod(fun(X0,fun(X0,$o)),product_prod(option(X0),option(X0))) > option(X0) ) ).

tff(func_def_3274,type,
    sK1945: 
      !>[X0: $tType] : ( option(X0) > X0 ) ).

tff(func_def_3275,type,
    sK1946: 
      !>[X0: $tType] : ( option(X0) > X0 ) ).

tff(func_def_3276,type,
    sK1947: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_3277,type,
    sK1948: ( nat * fun(nat,$o) * nat ) > nat ).

tff(func_def_3278,type,
    sK1949: ( nat * fun(nat,$o) * nat ) > nat ).

tff(func_def_3279,type,
    sK1950: ( nat * nat * nat ) > nat ).

tff(func_def_3280,type,
    sK1951: ( nat * nat * nat ) > nat ).

tff(func_def_3281,type,
    sK1952: ( nat * nat * nat ) > nat ).

tff(func_def_3282,type,
    sK1953: ( nat * nat * nat ) > nat ).

tff(func_def_3283,type,
    sK1954: ( nat * nat * nat ) > nat ).

tff(func_def_3284,type,
    sK1955: ( fun(nat,$o) * nat ) > nat ).

tff(func_def_3285,type,
    sK1956: 
      !>[X0: $tType,X1: $tType,X2: $tType,X3: $tType] : ( ( product_prod(X1,X0) * fun(X3,X1) * fun(X2,X0) * set(product_prod(X3,X2)) ) > X3 ) ).

tff(func_def_3286,type,
    sK1957: 
      !>[X0: $tType,X1: $tType,X2: $tType,X3: $tType] : ( ( product_prod(X1,X0) * fun(X3,X1) * fun(X2,X0) * set(product_prod(X3,X2)) ) > X2 ) ).

tff(func_def_3287,type,
    sK1958: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,set(X0)) * fun(X1,set(X0)) ) > X1 ) ).

tff(func_def_3288,type,
    sK1959: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,set(X1)) * set(X1) ) > X0 ) ).

tff(func_def_3289,type,
    sK1960: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,set(X1)) * set(X0) * set(X1) ) > X0 ) ).

tff(func_def_3290,type,
    sK1961: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,set(X1)) * set(X0) ) > X0 ) ).

tff(func_def_3291,type,
    sK1962: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,set(X1)) * set(X0) ) > X0 ) ).

tff(func_def_3292,type,
    sK1963: 
      !>[X0: $tType] : ( ( set(set(X0)) * set(X0) ) > set(X0) ) ).

tff(func_def_3293,type,
    sK1964: 
      !>[X0: $tType] : ( ( set(set(X0)) * set(X0) ) > set(X0) ) ).

tff(func_def_3294,type,
    sK1965: 
      !>[X0: $tType] : ( ( set(set(X0)) * set(set(X0)) ) > set(X0) ) ).

tff(func_def_3295,type,
    sK1966: 
      !>[X0: $tType] : ( set(set(X0)) > set(X0) ) ).

tff(func_def_3296,type,
    sK1967: 
      !>[X0: $tType] : ( set(set(X0)) > set(X0) ) ).

tff(func_def_3297,type,
    sK1968: 
      !>[X0: $tType] : ( ( set(X0) * set(set(X0)) ) > set(set(X0)) ) ).

tff(func_def_3298,type,
    sK1969: 
      !>[X0: $tType] : ( ( set(X0) * set(set(X0)) ) > set(X0) ) ).

tff(func_def_3299,type,
    sK1970: 
      !>[X0: $tType] : ( ( set(X0) * set(set(X0)) ) > set(X0) ) ).

tff(func_def_3300,type,
    sK1971: 
      !>[X0: $tType] : ( ( fun(nat,set(X0)) * fun(nat,set(X0)) * nat ) > nat ) ).

tff(func_def_3301,type,
    sK1972: 
      !>[X0: $tType] : ( ( fun(nat,set(X0)) * fun(nat,set(X0)) * nat ) > nat ) ).

tff(func_def_3302,type,
    sK1973: 
      !>[X0: $tType] : ( ( fun(nat,set(X0)) * set(X0) ) > nat ) ).

tff(func_def_3303,type,
    sK1974: set(nat) > nat ).

tff(func_def_3304,type,
    sK1975: set(nat) > nat ).

tff(func_def_3305,type,
    sK1976: set(nat) > nat ).

tff(func_def_3306,type,
    sK1977: 
      !>[X0: $tType] : ( ( fun(X0,nat) * set(X0) ) > X0 ) ).

tff(func_def_3307,type,
    sK1978: 
      !>[X0: $tType] : ( ( set(X0) * fun(X0,nat) * X0 ) > X0 ) ).

tff(func_def_3308,type,
    sK1979: 
      !>[X0: $tType] : ( ( set(X0) * fun(X0,nat) ) > X0 ) ).

tff(func_def_3309,type,
    sK1980: 
      !>[X0: $tType] : ( ( set(X0) * set(X0) ) > X0 ) ).

tff(func_def_3310,type,
    sK1981: 
      !>[X0: $tType] : ( ( set(X0) * set(X0) ) > X0 ) ).

tff(func_def_3311,type,
    sK1982: 
      !>[X0: $tType] : ( ( set(X0) * set(X0) ) > X0 ) ).

tff(func_def_3312,type,
    sK1983: 
      !>[X0: $tType] : ( ( set(X0) * set(X0) ) > X0 ) ).

tff(func_def_3313,type,
    sK1984: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_3314,type,
    sK1985: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_3315,type,
    sK1986: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_3316,type,
    sK1987: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_3317,type,
    sK1988: ( nat * nat ) > nat ).

tff(func_def_3318,type,
    sK1989: ( nat * nat ) > nat ).

tff(func_def_3319,type,
    sK1990: ( nat * nat ) > nat ).

tff(func_def_3320,type,
    sK1991: ( nat * nat ) > nat ).

tff(func_def_3321,type,
    sK1992: ( nat * nat ) > nat ).

tff(func_def_3322,type,
    sK1993: ( nat * nat ) > nat ).

tff(func_def_3323,type,
    sK1994: ( nat * nat * nat ) > nat ).

tff(func_def_3324,type,
    sK1995: ( nat * nat * nat ) > nat ).

tff(func_def_3325,type,
    sK1996: 
      !>[X0: $tType] : ( set(filter(X0)) > set(filter(X0)) ) ).

tff(func_def_3326,type,
    sK1997: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,filter(X1)) ) > X0 ) ).

tff(func_def_3327,type,
    sK1998: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,filter(X1)) ) > X0 ) ).

tff(func_def_3328,type,
    sK1999: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,filter(X1)) ) > X0 ) ).

tff(func_def_3329,type,
    sK2000: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * set(X0) * fun(X1,set(X0)) ) > X1 ) ).

tff(func_def_3330,type,
    sK2001: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,set(X0)) * fun(X1,set(X0)) ) > X1 ) ).

tff(func_def_3331,type,
    sK2002: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X1,set(X0)) * set(X1) ) > X1 ) ).

tff(func_def_3332,type,
    sK2003: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,filter(X1)) ) > set(X0) ) ).

tff(func_def_3333,type,
    sK2004: 
      !>[X0: $tType] : ( ( set(set(X0)) * set(X0) ) > set(X0) ) ).

tff(func_def_3334,type,
    sK2005: 
      !>[X0: $tType] : ( ( set(set(X0)) * set(X0) ) > set(X0) ) ).

tff(func_def_3335,type,
    sK2006: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * set(X0) ) > fun(X0,X1) ) ).

tff(func_def_3336,type,
    sK2007: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( set(X1) * set(X0) * fun(X0,set(X2)) ) > X0 ) ).

tff(func_def_3337,type,
    sK2008: 
      !>[X0: $tType,X1: $tType] : ( ( list(X0) * fun(X1,X0) ) > list(X1) ) ).

tff(func_def_3338,type,
    sK2009: 
      !>[X0: $tType,X1: $tType] : ( ( list(X0) * fun(X1,X0) ) > X0 ) ).

tff(func_def_3339,type,
    sK2010: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * X0 ) > X1 ) ).

tff(func_def_3340,type,
    sK2011: 
      !>[X0: $tType,X1: $tType] : ( ( list(X1) * fun(X1,X0) * fun(X1,X0) ) > X1 ) ).

tff(func_def_3341,type,
    sK2012: 
      !>[X0: $tType] : ( ( list(X0) * fun(X0,X0) ) > X0 ) ).

tff(func_def_3342,type,
    sK2013: 
      !>[X0: $tType,X1: $tType] : ( ( list(X1) * fun(X1,X0) * fun(X1,X0) ) > X1 ) ).

tff(func_def_3343,type,
    sK2014: 
      !>[X0: $tType,X1: $tType] : ( ( list(X1) * list(X1) * fun(X1,X0) * fun(X1,X0) ) > X1 ) ).

tff(func_def_3344,type,
    sK2015: 
      !>[X0: $tType,X1: $tType] : ( ( list(X1) * list(X1) * fun(X1,X0) * fun(X1,X0) ) > X1 ) ).

tff(func_def_3345,type,
    sK2016: 
      !>[X0: $tType,X1: $tType] : ( ( list(X1) * fun(X1,X0) * fun(X1,X0) ) > X1 ) ).

tff(func_def_3346,type,
    sK2017: 
      !>[X0: $tType,X1: $tType] : ( ( list(X1) * fun(X1,X0) * fun(X1,X0) ) > X1 ) ).

tff(func_def_3347,type,
    sK2018: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * list(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_3348,type,
    sK2019: 
      !>[X0: $tType] : ( ( fun(nat,set(X0)) * nat ) > nat ) ).

tff(func_def_3349,type,
    sK2020: 
      !>[X0: $tType] : ( ( fun(nat,set(X0)) * nat ) > nat ) ).

tff(func_def_3350,type,
    sK2021: 
      !>[X0: $tType] : ( ( fun(nat,set(X0)) * nat ) > nat ) ).

tff(func_def_3351,type,
    sK2022: 
      !>[X0: $tType] : ( ( fun(nat,set(X0)) * set(X0) ) > nat ) ).

tff(func_def_3352,type,
    sK2023: 
      !>[X0: $tType] : ( set(set(X0)) > set(X0) ) ).

tff(func_def_3353,type,
    sK2024: 
      !>[X0: $tType] : ( set(set(X0)) > set(X0) ) ).

tff(func_def_3354,type,
    sK2025: 
      !>[X0: $tType] : ( ( set(set(X0)) * nat ) > set(X0) ) ).

tff(func_def_3355,type,
    sK2026: 
      !>[X0: $tType] : ( set(set(X0)) > set(X0) ) ).

tff(func_def_3356,type,
    sK2027: 
      !>[X0: $tType] : ( set(set(X0)) > set(X0) ) ).

tff(func_def_3357,type,
    sK2028: 
      !>[X0: $tType] : ( set(set(X0)) > set(X0) ) ).

tff(func_def_3358,type,
    sK2029: 
      !>[X0: $tType] : ( ( set(set(X0)) * nat ) > set(X0) ) ).

tff(func_def_3359,type,
    sK2030: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_3360,type,
    sK2031: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_3361,type,
    sK2032: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_3362,type,
    sK2033: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_3363,type,
    sK2034: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_3364,type,
    sK2035: 
      !>[X0: $tType] : ( ( nat * set(X0) ) > X0 ) ).

tff(func_def_3365,type,
    sK2036: 
      !>[X0: $tType] : ( ( nat * set(X0) ) > set(X0) ) ).

tff(func_def_3366,type,
    sK2037: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_3367,type,
    sK2038: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_3368,type,
    sK2039: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_3369,type,
    sK2040: 
      !>[X0: $tType] : ( ( set(X0) * nat ) > X0 ) ).

tff(func_def_3370,type,
    sK2041: 
      !>[X0: $tType] : ( ( set(X0) * nat ) > set(X0) ) ).

tff(func_def_3371,type,
    sK2042: 
      !>[X0: $tType] : ( ( set(X0) * nat ) > X0 ) ).

tff(func_def_3372,type,
    sK2043: 
      !>[X0: $tType] : ( ( set(X0) * nat ) > set(X0) ) ).

tff(func_def_3373,type,
    sK2044: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_3374,type,
    sK2045: 
      !>[X0: $tType] : ( ( set(X0) * nat ) > set(X0) ) ).

tff(func_def_3375,type,
    sK2046: 
      !>[X0: $tType] : ( ( nat * set(X0) ) > set(X0) ) ).

tff(func_def_3376,type,
    sK2047: 
      !>[X0: $tType] : ( ( set(X0) * nat ) > X0 ) ).

tff(func_def_3377,type,
    sK2048: 
      !>[X0: $tType] : ( ( set(X0) * nat ) > set(X0) ) ).

tff(func_def_3378,type,
    sK2049: 
      !>[X0: $tType] : ( ( set(X0) * X0 * X0 ) > X0 ) ).

tff(func_def_3379,type,
    sK2050: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_3380,type,
    sK2051: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_3381,type,
    sK2052: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,fun(X1,$o)) * set(X1) * set(X0) ) > X0 ) ).

tff(func_def_3382,type,
    sK2053: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,fun(X1,$o)) * set(X1) * set(X0) ) > X0 ) ).

tff(func_def_3383,type,
    sK2054: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,fun(X1,$o)) * set(X1) * set(X0) ) > X1 ) ).

tff(func_def_3384,type,
    sK2055: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * set(X0) * fun(X0,fun(X1,$o)) ) > X0 ) ).

tff(func_def_3385,type,
    sK2056: 
      !>[X0: $tType] : ( ( set(X0) * nat ) > set(X0) ) ).

tff(func_def_3386,type,
    sK2057: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( fun(X2,X1) * fun(X0,filter(X1)) * set(X0) * filter(X2) ) > X0 ) ).

tff(func_def_3387,type,
    sK2058: 
      !>[X0: $tType,X1: $tType] : ( ( X0 * product_prod(X0,X1) ) > X1 ) ).

tff(func_def_3388,type,
    sK2059: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * set(X0) * fun(X1,fun(X0,$o)) * fun(X1,fun(X0,$o)) ) > X1 ) ).

tff(func_def_3389,type,
    sK2060: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * set(X0) * fun(X1,fun(X0,$o)) * fun(X1,fun(X0,$o)) ) > X0 ) ).

tff(func_def_3390,type,
    sK2061: 
      !>[X0: $tType,X1: $tType] : ( ( X1 * product_prod(X0,X1) ) > X0 ) ).

tff(func_def_3391,type,
    sK2062: product_prod(num,num) > num ).

tff(func_def_3392,type,
    sK2063: product_prod(num,num) > num ).

tff(func_def_3393,type,
    sK2064: product_prod(num,num) > num ).

tff(func_def_3394,type,
    sK2065: product_prod(num,num) > num ).

tff(func_def_3395,type,
    sK2066: product_prod(num,num) > num ).

tff(func_def_3396,type,
    sK2067: product_prod(num,num) > num ).

tff(func_def_3397,type,
    sK2068: product_prod(num,num) > num ).

tff(func_def_3398,type,
    sK2069: product_prod(num,num) > num ).

tff(func_def_3399,type,
    sK2070: product_prod(num,num) > num ).

tff(func_def_3400,type,
    sK2071: product_prod(num,num) > num ).

tff(func_def_3401,type,
    sK2072: product_prod(num,num) > num ).

tff(func_def_3402,type,
    sK2073: product_prod(num,num) > num ).

tff(func_def_3403,type,
    sK2074: num > num ).

tff(func_def_3404,type,
    sK2075: num > num ).

tff(func_def_3405,type,
    sK2076: 
      !>[X0: $tType,X1: $tType] : ( ( list(X0) * fun(X0,fun(X1,X1)) ) > X0 ) ).

tff(func_def_3406,type,
    sK2077: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( product_prod(X1,X2) * fun(X0,X1) * product_prod(X0,X2) ) > X0 ) ).

tff(func_def_3407,type,
    sK2078: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( product_prod(X1,X2) * fun(X0,X1) * product_prod(X0,X2) ) > X2 ) ).

tff(func_def_3408,type,
    sK2079: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( set(X2) * fun(X2,set(X1)) * fun(X2,set(X0)) ) > X2 ) ).

tff(func_def_3409,type,
    sK2080: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( set(X0) * set(X2) * fun(X2,set(X1)) ) > X2 ) ).

tff(func_def_3410,type,
    sK2081: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,set(X0)) * fun(X1,set(X0)) ) > X1 ) ).

tff(func_def_3411,type,
    sK2082: 
      !>[X0: $tType,X1: $tType] : ( ( product_prod(X0,X1) * set(X0) * fun(X0,set(X1)) ) > X0 ) ).

tff(func_def_3412,type,
    sK2083: 
      !>[X0: $tType,X1: $tType] : ( ( product_prod(X0,X1) * set(X0) * fun(X0,set(X1)) ) > X1 ) ).

tff(func_def_3413,type,
    sK2084: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,set(X1)) ) > X0 ) ).

tff(func_def_3414,type,
    sK2085: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,set(X0)) * fun(X1,set(X0)) ) > X1 ) ).

tff(func_def_3415,type,
    sK2086: 
      !>[X0: $tType] : ( ( nat * list(X0) ) > X0 ) ).

tff(func_def_3416,type,
    sK2087: 
      !>[X0: $tType] : ( ( nat * list(X0) ) > list(X0) ) ).

tff(func_def_3417,type,
    sK2088: 
      !>[X0: $tType] : ( ( nat * list(X0) ) > X0 ) ).

tff(func_def_3418,type,
    sK2089: 
      !>[X0: $tType] : ( ( nat * list(X0) ) > list(X0) ) ).

tff(func_def_3419,type,
    sK2090: 
      !>[X0: $tType] : ( ( list(X0) * nat ) > X0 ) ).

tff(func_def_3420,type,
    sK2091: 
      !>[X0: $tType] : ( ( list(X0) * nat ) > list(X0) ) ).

tff(func_def_3421,type,
    sK2092: 
      !>[X0: $tType] : ( ( X0 * list(X0) ) > X0 ) ).

tff(func_def_3422,type,
    sK2093: 
      !>[X0: $tType] : ( ( X0 * list(X0) ) > list(X0) ) ).

tff(func_def_3423,type,
    sK2094: 
      !>[X0: $tType] : ( ( X0 * list(X0) ) > list(X0) ) ).

tff(func_def_3424,type,
    sK2095: 
      !>[X0: $tType] : ( fun(X0,fun(X0,$o)) > X0 ) ).

tff(func_def_3425,type,
    sK2096: 
      !>[X0: $tType,X1: $tType] : ( ( option(X1) * fun(X1,X0) * fun(X1,X0) ) > X1 ) ).

tff(func_def_3426,type,
    sK2097: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * option(X0) * X1 ) > X0 ) ).

tff(func_def_3427,type,
    sK2098: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * X0 * list(X0) ) > X0 ) ).

tff(func_def_3428,type,
    sK2099: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * X0 * list(X0) ) > X0 ) ).

tff(func_def_3429,type,
    sK2100: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * X0 * list(X0) ) > list(X0) ) ).

tff(func_def_3430,type,
    sK2101: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * X0 * list(X0) ) > X0 ) ).

tff(func_def_3431,type,
    sK2102: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * list(X1) * X1 ) > X1 ) ).

tff(func_def_3432,type,
    sK2103: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * list(X1) * X1 ) > X1 ) ).

tff(func_def_3433,type,
    sK2104: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * list(X1) * X1 ) > list(X1) ) ).

tff(func_def_3434,type,
    sK2105: 
      !>[X0: $tType] : ( ( list(X0) * X0 ) > X0 ) ).

tff(func_def_3435,type,
    sK2106: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * set(X1) ) > X0 ) ).

tff(func_def_3436,type,
    sK2107: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * set(X1) ) > X0 ) ).

tff(func_def_3437,type,
    sK2108: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X1,X0) * set(X1) ) > X0 ) ).

tff(func_def_3438,type,
    sK2109: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * set(X0) ) > X1 ) ).

tff(func_def_3439,type,
    sK2110: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * set(X0) ) > X1 ) ).

tff(func_def_3440,type,
    sK2111: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,X0) * fun(X1,X0) ) > X1 ) ).

tff(func_def_3441,type,
    sK2112: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,$o) * fun(X1,X0) * fun(X1,$o) ) > X1 ) ).

tff(func_def_3442,type,
    sK2113: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,X1) * set(X1) ) > X0 ) ).

tff(func_def_3443,type,
    sK2114: 
      !>[X0: $tType,X1: $tType,X2: $tType,X3: $tType] : ( ( set(X0) * set(X3) * fun(X2,X1) * fun(X3,filter(X2)) * fun(X0,filter(X1)) ) > X0 ) ).

tff(func_def_3444,type,
    sK2115: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,$o) * fun(X1,X0) * X0 ) > X1 ) ).

tff(func_def_3445,type,
    sK2116: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,$o) * fun(X1,X0) ) > X0 ) ).

tff(func_def_3446,type,
    sK2117: 
      !>[X0: $tType,X1: $tType] : ( ( filter(X0) * fun(X1,X0) ) > fun(X0,$o) ) ).

tff(func_def_3447,type,
    sK2118: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,$o) * fun(X1,X0) * fun(X0,$o) ) > X1 ) ).

tff(func_def_3448,type,
    sK2119: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,$o) * fun(X1,X0) * filter(X0) ) > fun(X0,$o) ) ).

tff(func_def_3449,type,
    sK2120: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,$o) * fun(X1,X0) * X0 * set(X0) * set(X0) ) > X1 ) ).

tff(func_def_3450,type,
    sK2121: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,$o) * fun(X1,X0) * X0 * set(X0) ) > set(X0) ) ).

tff(func_def_3451,type,
    sK2122: 
      !>[X0: $tType] : ( ( set(X0) * set(product_prod(X0,X0)) ) > X0 ) ).

tff(func_def_3452,type,
    sK2123: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * set(X0) ) > X0 ) ).

tff(func_def_3453,type,
    sK2124: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * set(X0) * set(X0) ) > X0 ) ).

tff(func_def_3454,type,
    sK2125: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * set(X0) * set(X0) ) > fun(X0,$o) ) ).

tff(func_def_3455,type,
    sK2126: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * set(X0) * set(X0) * X0 ) > X0 ) ).

tff(func_def_3456,type,
    sK2127: 
      !>[X0: $tType,X1: $tType] : ( ( set(product_prod(X0,X0)) * set(product_prod(X1,X1)) ) > fun(X1,X0) ) ).

tff(func_def_3457,type,
    sK2128: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * set(X0) ) > X0 ) ).

tff(func_def_3458,type,
    sK2129: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * set(X0) ) > X0 ) ).

tff(func_def_3459,type,
    sK2130: 
      !>[X0: $tType] : ( ( set(X0) * set(product_prod(X0,X0)) ) > set(product_prod(X0,X0)) ) ).

tff(func_def_3460,type,
    sK2131: 
      !>[X0: $tType] : ( set(set(product_prod(X0,X0))) > set(product_prod(X0,X0)) ) ).

tff(func_def_3461,type,
    sK2132: 
      !>[X0: $tType] : ( set(set(product_prod(X0,X0))) > set(product_prod(X0,X0)) ) ).

tff(func_def_3462,type,
    sK2133: 
      !>[X0: $tType,X1: $tType] : ( ( list(X1) * fun(X1,fun(X0,X0)) ) > X1 ) ).

tff(func_def_3463,type,
    sK2134: 
      !>[X0: $tType,X1: $tType] : ( ( list(X1) * fun(X1,fun(X0,X0)) ) > X1 ) ).

tff(func_def_3464,type,
    sK2135: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( list(X0) * fun(X2,X1) * fun(X0,fun(X2,X2)) * fun(X0,fun(X1,X1)) ) > X0 ) ).

tff(func_def_3465,type,
    sK2136: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( list(X0) * fun(X2,X1) * fun(X0,fun(X2,X2)) * fun(X0,fun(X1,X1)) ) > X0 ) ).

tff(func_def_3466,type,
    sK2137: 
      !>[X0: $tType,X1: $tType] : ( ( list(X0) * fun(X0,fun(X1,X1)) * fun(X0,fun(X1,X1)) ) > X0 ) ).

tff(func_def_3467,type,
    sK2138: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,$o) * fun(X1,$o) * fun(X0,fun(X1,X1)) ) > X0 ) ).

tff(func_def_3468,type,
    sK2139: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,$o) * fun(X1,$o) * fun(X0,fun(X1,X1)) ) > X1 ) ).

tff(func_def_3469,type,
    sK2140: 
      !>[X0: $tType] : ( ( list(X0) * fun(X0,$o) ) > X0 ) ).

tff(func_def_3470,type,
    sK2141: ( fun(nat,rat) * rat * nat ) > nat ).

tff(func_def_3471,type,
    sK2142: fun(nat,rat) > rat ).

tff(func_def_3472,type,
    sK2143: fun(nat,rat) > nat ).

tff(func_def_3473,type,
    sK2144: ( real * rat * nat ) > nat ).

tff(func_def_3474,type,
    sK2145: real > rat ).

tff(func_def_3475,type,
    sK2146: real > nat ).

tff(func_def_3476,type,
    sK2147: ( fun(nat,rat) * rat * nat ) > nat ).

tff(func_def_3477,type,
    sK2148: fun(nat,rat) > rat ).

tff(func_def_3478,type,
    sK2149: fun(nat,rat) > nat ).

tff(func_def_3479,type,
    sK2150: ( fun(nat,rat) * rat * nat ) > nat ).

tff(func_def_3480,type,
    sK2151: fun(nat,rat) > rat ).

tff(func_def_3481,type,
    sK2152: fun(nat,rat) > nat ).

tff(func_def_3482,type,
    sK2153: fun(nat,rat) > rat ).

tff(func_def_3483,type,
    sK2154: ( fun(nat,rat) * nat ) > nat ).

tff(func_def_3484,type,
    sK2155: ( fun(nat,rat) * rat ) > nat ).

tff(func_def_3485,type,
    sK2156: ( fun(product_prod(nat,nat),$o) * nat ) > nat ).

tff(func_def_3486,type,
    sK2157: ( fun(product_prod(nat,nat),$o) * nat ) > nat ).

tff(func_def_3487,type,
    sK2158: fun(product_prod(nat,nat),$o) > nat ).

tff(func_def_3488,type,
    sK2159: 
      !>[X0: $tType] : ( ( fun(product_prod(X0,X0),$o) * fun(X0,$o) ) > X0 ) ).

tff(func_def_3489,type,
    sK2160: 
      !>[X0: $tType] : ( ( fun(product_prod(X0,X0),$o) * fun(X0,$o) ) > X0 ) ).

tff(func_def_3490,type,
    sK2161: 
      !>[X0: $tType] : ( ( fun(product_prod(X0,X0),$o) * filter(X0) ) > fun(X0,$o) ) ).

tff(func_def_3491,type,
    sK2162: 
      !>[X0: $tType,X1: $tType] : ( ( fun(product_prod(X0,X1),$o) * fun(X0,$o) * fun(X1,$o) ) > X0 ) ).

tff(func_def_3492,type,
    sK2163: 
      !>[X0: $tType,X1: $tType] : ( ( fun(product_prod(X0,X1),$o) * fun(X0,$o) * fun(X1,$o) ) > X1 ) ).

tff(func_def_3493,type,
    sK2164: 
      !>[X0: $tType,X1: $tType] : ( ( fun(product_prod(X0,X1),$o) * filter(X0) * filter(X1) ) > fun(X0,$o) ) ).

tff(func_def_3494,type,
    sK2165: 
      !>[X0: $tType,X1: $tType] : ( ( fun(product_prod(X0,X1),$o) * filter(X0) * filter(X1) ) > fun(X1,$o) ) ).

tff(func_def_3495,type,
    sK2166: ( fun(real,$o) * nat * real ) > real ).

tff(func_def_3496,type,
    sK2167: ( int * int * product_prod(int,int) ) > int ).

tff(func_def_3497,type,
    sK2168: ( int * int * product_prod(int,int) ) > int ).

tff(func_def_3498,type,
    sK2169: ( int * int * product_prod(int,int) ) > int ).

tff(func_def_3499,type,
    sK2170: ( int * int * product_prod(int,int) ) > int ).

tff(func_def_3500,type,
    sK2171: ( int * int * product_prod(int,int) ) > int ).

tff(func_def_3501,type,
    sK2172: ( int * int * product_prod(int,int) ) > int ).

tff(func_def_3502,type,
    sK2173: ( int * int * product_prod(int,int) ) > int ).

tff(func_def_3503,type,
    sK2174: ( int * int * product_prod(int,int) ) > int ).

tff(func_def_3504,type,
    sK2175: ( int * int * product_prod(int,int) ) > int ).

tff(func_def_3505,type,
    sK2176: ( int * int * product_prod(int,int) ) > int ).

tff(func_def_3506,type,
    sK2177: ( int * int * product_prod(int,int) ) > int ).

tff(func_def_3507,type,
    sK2178: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * set(product_prod(X1,X1)) ) > set(X1) ) ).

tff(func_def_3508,type,
    sK2179: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * set(X1) ) > set(X1) ) ).

tff(func_def_3509,type,
    sK2180: 
      !>[X0: $tType,X1: $tType] : ( ( set(product_prod(X0,X0)) * set(product_prod(X1,X1)) ) > set(product_prod(X1,X1)) ) ).

tff(func_def_3510,type,
    sK2181: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( X0 * X1 * set(product_prod(X0,X2)) * set(product_prod(X2,X1)) ) > X2 ) ).

tff(func_def_3511,type,
    sK2182: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( X0 * X1 * set(product_prod(X0,X2)) * set(product_prod(X2,X1)) ) > X0 ) ).

tff(func_def_3512,type,
    sK2183: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( X0 * X1 * set(product_prod(X0,X2)) * set(product_prod(X2,X1)) ) > X2 ) ).

tff(func_def_3513,type,
    sK2184: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( X0 * X1 * set(product_prod(X0,X2)) * set(product_prod(X2,X1)) ) > X1 ) ).

tff(func_def_3514,type,
    sK2185: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( product_prod(X0,X1) * set(product_prod(X0,X2)) * set(product_prod(X2,X1)) ) > X0 ) ).

tff(func_def_3515,type,
    sK2186: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( product_prod(X0,X1) * set(product_prod(X0,X2)) * set(product_prod(X2,X1)) ) > X2 ) ).

tff(func_def_3516,type,
    sK2187: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( product_prod(X0,X1) * set(product_prod(X0,X2)) * set(product_prod(X2,X1)) ) > X1 ) ).

tff(func_def_3517,type,
    sK2188: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( X0 * X1 * set(product_prod(X0,X2)) * set(product_prod(X2,X1)) ) > X2 ) ).

tff(func_def_3518,type,
    sK2189: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * list(X0) * list(X0) ) > list(X0) ) ).

tff(func_def_3519,type,
    sK2190: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * list(X0) * list(X0) ) > X0 ) ).

tff(func_def_3520,type,
    sK2191: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * list(X0) * list(X0) ) > X0 ) ).

tff(func_def_3521,type,
    sK2192: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * list(X0) * list(X0) ) > list(X0) ) ).

tff(func_def_3522,type,
    sK2193: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * list(X0) * list(X0) ) > list(X0) ) ).

tff(func_def_3523,type,
    sK2194: 
      !>[X0: $tType] : ( set(product_prod(X0,X0)) > X0 ) ).

tff(func_def_3524,type,
    sK2195: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) * set(product_prod(X0,X0)) ) > nat ) ).

tff(func_def_3525,type,
    sK2196: 
      !>[X0: $tType] : ( set(product_prod(X0,X0)) > X0 ) ).

tff(func_def_3526,type,
    sK2197: 
      !>[X0: $tType] : ( set(product_prod(X0,X0)) > X0 ) ).

tff(func_def_3527,type,
    sK2198: ( nat * fun(nat,int) * int ) > nat ).

tff(func_def_3528,type,
    sK2199: ( nat * fun(nat,int) ) > nat ).

tff(func_def_3529,type,
    sK2200: ( nat * fun(nat,int) * int ) > nat ).

tff(func_def_3530,type,
    sK2201: ( nat * fun(nat,int) ) > nat ).

tff(func_def_3531,type,
    sK2202: ( fun(nat,int) * nat * nat ) > nat ).

tff(func_def_3532,type,
    sK2203: ( nat * nat * fun(nat,int) * int ) > nat ).

tff(func_def_3533,type,
    sK2204: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,option(X1)) * X0 * X1 ) > X0 ) ).

tff(func_def_3534,type,
    sK2205: list(nat) > nat ).

tff(func_def_3535,type,
    sK2206: list(nat) > list(nat) ).

tff(func_def_3536,type,
    sK2207: 
      !>[X0: $tType,X1: $tType,X2: $tType,X3: $tType] : ( fun(list(X1),fun(list(X2),fun(list(X0),fun(list(X3),$o)))) > X1 ) ).

tff(func_def_3537,type,
    sK2208: 
      !>[X0: $tType,X1: $tType,X2: $tType,X3: $tType] : ( fun(list(X1),fun(list(X2),fun(list(X0),fun(list(X3),$o)))) > list(X1) ) ).

tff(func_def_3538,type,
    sK2209: 
      !>[X0: $tType,X1: $tType,X2: $tType,X3: $tType] : ( fun(list(X1),fun(list(X2),fun(list(X0),fun(list(X3),$o)))) > X2 ) ).

tff(func_def_3539,type,
    sK2210: 
      !>[X0: $tType,X1: $tType,X2: $tType,X3: $tType] : ( fun(list(X1),fun(list(X2),fun(list(X0),fun(list(X3),$o)))) > list(X2) ) ).

tff(func_def_3540,type,
    sK2211: 
      !>[X0: $tType,X1: $tType,X2: $tType,X3: $tType] : ( fun(list(X1),fun(list(X2),fun(list(X0),fun(list(X3),$o)))) > X0 ) ).

tff(func_def_3541,type,
    sK2212: 
      !>[X0: $tType,X1: $tType,X2: $tType,X3: $tType] : ( fun(list(X1),fun(list(X2),fun(list(X0),fun(list(X3),$o)))) > list(X0) ) ).

tff(func_def_3542,type,
    sK2213: 
      !>[X0: $tType,X1: $tType,X2: $tType,X3: $tType] : ( fun(list(X1),fun(list(X2),fun(list(X0),fun(list(X3),$o)))) > X3 ) ).

tff(func_def_3543,type,
    sK2214: 
      !>[X0: $tType,X1: $tType,X2: $tType,X3: $tType] : ( fun(list(X1),fun(list(X2),fun(list(X0),fun(list(X3),$o)))) > list(X3) ) ).

tff(func_def_3544,type,
    sK2215: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( fun(list(X1),fun(list(X0),fun(list(X2),$o))) > X1 ) ).

tff(func_def_3545,type,
    sK2216: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( fun(list(X1),fun(list(X0),fun(list(X2),$o))) > list(X1) ) ).

tff(func_def_3546,type,
    sK2217: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( fun(list(X1),fun(list(X0),fun(list(X2),$o))) > X0 ) ).

tff(func_def_3547,type,
    sK2218: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( fun(list(X1),fun(list(X0),fun(list(X2),$o))) > list(X0) ) ).

tff(func_def_3548,type,
    sK2219: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( fun(list(X1),fun(list(X0),fun(list(X2),$o))) > X2 ) ).

tff(func_def_3549,type,
    sK2220: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( fun(list(X1),fun(list(X0),fun(list(X2),$o))) > list(X2) ) ).

tff(func_def_3550,type,
    sK2221: 
      !>[X0: $tType,X1: $tType] : ( fun(list(X0),fun(list(X1),$o)) > X0 ) ).

tff(func_def_3551,type,
    sK2222: 
      !>[X0: $tType,X1: $tType] : ( fun(list(X0),fun(list(X1),$o)) > list(X0) ) ).

tff(func_def_3552,type,
    sK2223: 
      !>[X0: $tType,X1: $tType] : ( fun(list(X0),fun(list(X1),$o)) > X1 ) ).

tff(func_def_3553,type,
    sK2224: 
      !>[X0: $tType,X1: $tType] : ( fun(list(X0),fun(list(X1),$o)) > list(X1) ) ).

tff(func_def_3554,type,
    sK2225: 
      !>[X0: $tType,X1: $tType] : ( product_prod(fun(X0,X1),product_prod(list(X0),list(X1))) > fun(X0,X1) ) ).

tff(func_def_3555,type,
    sK2226: 
      !>[X0: $tType,X1: $tType] : ( product_prod(fun(X0,X1),product_prod(list(X0),list(X1))) > X0 ) ).

tff(func_def_3556,type,
    sK2227: 
      !>[X0: $tType,X1: $tType] : ( product_prod(fun(X0,X1),product_prod(list(X0),list(X1))) > list(X0) ) ).

tff(func_def_3557,type,
    sK2228: 
      !>[X0: $tType,X1: $tType] : ( product_prod(fun(X0,X1),product_prod(list(X0),list(X1))) > list(X1) ) ).

tff(func_def_3558,type,
    sK2229: 
      !>[X0: $tType,X1: $tType] : ( product_prod(fun(X0,X1),product_prod(list(X0),list(X1))) > fun(X0,X1) ) ).

tff(func_def_3559,type,
    sK2230: 
      !>[X0: $tType,X1: $tType] : ( product_prod(fun(X0,X1),product_prod(list(X0),list(X1))) > list(X1) ) ).

tff(func_def_3560,type,
    sK2231: 
      !>[X0: $tType] : ( product_prod(fun(X0,fun(X0,$o)),list(X0)) > fun(X0,fun(X0,$o)) ) ).

tff(func_def_3561,type,
    sK2232: 
      !>[X0: $tType] : ( product_prod(fun(X0,fun(X0,$o)),list(X0)) > X0 ) ).

tff(func_def_3562,type,
    sK2233: 
      !>[X0: $tType] : ( product_prod(fun(X0,fun(X0,$o)),list(X0)) > X0 ) ).

tff(func_def_3563,type,
    sK2234: 
      !>[X0: $tType] : ( product_prod(fun(X0,fun(X0,$o)),list(X0)) > list(X0) ) ).

tff(func_def_3564,type,
    sK2235: 
      !>[X0: $tType] : ( product_prod(fun(X0,fun(X0,$o)),list(X0)) > fun(X0,fun(X0,$o)) ) ).

tff(func_def_3565,type,
    sK2236: 
      !>[X0: $tType] : ( product_prod(fun(X0,fun(X0,$o)),list(X0)) > X0 ) ).

tff(func_def_3566,type,
    sK2237: 
      !>[X0: $tType] : ( product_prod(fun(X0,fun(X0,$o)),list(X0)) > fun(X0,fun(X0,$o)) ) ).

tff(func_def_3567,type,
    sK2238: 
      !>[X0: $tType,X1: $tType] : ( product_prod(fun(X1,X0),list(X1)) > fun(X1,X0) ) ).

tff(func_def_3568,type,
    sK2239: 
      !>[X0: $tType,X1: $tType] : ( product_prod(fun(X1,X0),list(X1)) > fun(X1,X0) ) ).

tff(func_def_3569,type,
    sK2240: 
      !>[X0: $tType,X1: $tType] : ( product_prod(fun(X1,X0),list(X1)) > X1 ) ).

tff(func_def_3570,type,
    sK2241: 
      !>[X0: $tType,X1: $tType] : ( product_prod(fun(X1,X0),list(X1)) > X1 ) ).

tff(func_def_3571,type,
    sK2242: 
      !>[X0: $tType,X1: $tType] : ( product_prod(fun(X1,X0),list(X1)) > list(X1) ) ).

tff(func_def_3572,type,
    sK2243: 
      !>[X0: $tType,X1: $tType] : ( product_prod(fun(X1,X0),list(X1)) > fun(X1,X0) ) ).

tff(func_def_3573,type,
    sK2244: 
      !>[X0: $tType,X1: $tType] : ( product_prod(fun(X1,X0),list(X1)) > X1 ) ).

tff(func_def_3574,type,
    sK2245: 
      !>[X0: $tType] : ( product_prod(fun(X0,fun(X0,$o)),list(X0)) > fun(X0,fun(X0,$o)) ) ).

tff(func_def_3575,type,
    sK2246: 
      !>[X0: $tType] : ( product_prod(fun(X0,fun(X0,$o)),list(X0)) > X0 ) ).

tff(func_def_3576,type,
    sK2247: 
      !>[X0: $tType] : ( product_prod(fun(X0,fun(X0,$o)),list(X0)) > list(X0) ) ).

tff(func_def_3577,type,
    sK2248: 
      !>[X0: $tType] : ( product_prod(fun(X0,fun(X0,$o)),list(X0)) > fun(X0,fun(X0,$o)) ) ).

tff(func_def_3578,type,
    sK2249: 
      !>[X0: $tType] : ( product_prod(list(X0),list(X0)) > X0 ) ).

tff(func_def_3579,type,
    sK2250: 
      !>[X0: $tType] : ( product_prod(list(X0),list(X0)) > list(X0) ) ).

tff(func_def_3580,type,
    sK2251: 
      !>[X0: $tType] : ( product_prod(list(X0),list(X0)) > X0 ) ).

tff(func_def_3581,type,
    sK2252: 
      !>[X0: $tType] : ( product_prod(list(X0),list(X0)) > list(X0) ) ).

tff(func_def_3582,type,
    sK2253: 
      !>[X0: $tType] : ( product_prod(list(X0),list(X0)) > list(X0) ) ).

tff(func_def_3583,type,
    sK2254: 
      !>[X0: $tType] : ( product_prod(list(X0),list(X0)) > list(X0) ) ).

tff(func_def_3584,type,
    sK2255: 
      !>[X0: $tType] : ( product_prod(list(X0),list(X0)) > X0 ) ).

tff(func_def_3585,type,
    sK2256: 
      !>[X0: $tType] : ( product_prod(list(X0),list(X0)) > list(X0) ) ).

tff(func_def_3586,type,
    sK2257: 
      !>[X0: $tType] : ( product_prod(list(X0),list(X0)) > list(X0) ) ).

tff(func_def_3587,type,
    sK2258: 
      !>[X0: $tType] : ( product_prod(list(X0),list(X0)) > list(X0) ) ).

tff(func_def_3588,type,
    sK2259: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * set(product_prod(X1,X0)) ) > X1 ) ).

tff(func_def_3589,type,
    sK2260: 
      !>[X0: $tType] : ( set(X0) > fun(nat,X0) ) ).

tff(func_def_3590,type,
    sK2261: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * set(X1) ) > set(X1) ) ).

tff(func_def_3591,type,
    sK2262: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * set(X1) * fun(set(X0),$o) ) > set(X0) ) ).

tff(func_def_3592,type,
    sK2263: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * set(X1) * fun(set(X0),$o) ) > set(X1) ) ).

tff(func_def_3593,type,
    sK2264: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * set(X1) * fun(set(X0),$o) ) > set(X1) ) ).

tff(func_def_3594,type,
    sK2265: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * set(X1) * fun(set(X0),$o) ) > set(X0) ) ).

tff(func_def_3595,type,
    sK2266: 
      !>[X0: $tType] : ( set(X0) > set(X0) ) ).

tff(func_def_3596,type,
    sK2267: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * set(X1) * fun(set(X0),$o) ) > set(X1) ) ).

tff(func_def_3597,type,
    sK2268: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * set(X1) * fun(set(X0),$o) ) > set(X0) ) ).

tff(func_def_3598,type,
    sK2269: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * set(X1) * fun(set(X0),$o) ) > set(X0) ) ).

tff(func_def_3599,type,
    sK2270: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * set(X1) * fun(set(X0),$o) ) > set(X1) ) ).

tff(func_def_3600,type,
    sK2271: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X1,X0) * set(X1) ) > set(X1) ) ).

tff(func_def_3601,type,
    sK2272: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * set(X1) ) > set(X1) ) ).

tff(func_def_3602,type,
    sK2273: 
      !>[X0: $tType] : ( set(X0) > fun(nat,set(X0)) ) ).

tff(func_def_3603,type,
    sK2274: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * fun(X1,$o) ) > X1 ) ).

tff(func_def_3604,type,
    sK2275: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * fun(X1,$o) ) > X1 ) ).

tff(func_def_3605,type,
    sK2276: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,$o) * fun(X0,$o) * fun(X0,X1) ) > X0 ) ).

tff(func_def_3606,type,
    sK2277: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * fun(X0,$o) * fun(X0,X1) ) > X0 ) ).

tff(func_def_3607,type,
    sK2278: filter(nat) > nat ).

tff(func_def_3608,type,
    sK2279: ( nat * fun(nat,$o) ) > nat ).

tff(func_def_3609,type,
    sK2280: ( fun(nat,$o) * nat ) > nat ).

tff(func_def_3610,type,
    sK2281: fun(nat,$o) > nat ).

tff(func_def_3611,type,
    sK2282: 
      !>[X0: $tType] : ( ( fun(X0,$o) * X0 ) > X0 ) ).

tff(func_def_3612,type,
    sK2283: 
      !>[X0: $tType] : ( fun(X0,$o) > X0 ) ).

tff(func_def_3613,type,
    sK2284: 
      !>[X0: $tType] : ( ( X0 * fun(X0,$o) ) > X0 ) ).

tff(func_def_3614,type,
    sK2285: 
      !>[X0: $tType] : ( ( fun(X0,$o) * set(X0) ) > X0 ) ).

tff(func_def_3615,type,
    sK2286: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,filter(X1)) ) > X0 ) ).

tff(func_def_3616,type,
    sK2287: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,filter(X1)) ) > X0 ) ).

tff(func_def_3617,type,
    sK2288: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,filter(X0)) * fun(X0,$o) ) > X1 ) ).

tff(func_def_3618,type,
    sK2289: 
      !>[X0: $tType] : ( ( fun(X0,$o) * set(filter(X0)) ) > set(filter(X0)) ) ).

tff(func_def_3619,type,
    sK2290: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,$o) * fun(X1,filter(X0)) * set(X1) ) > set(X1) ) ).

tff(func_def_3620,type,
    sK2291: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,filter(X1)) * fun(X0,fun(X1,$o)) ) > X0 ) ).

tff(func_def_3621,type,
    sK2292: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X1,$o) * fun(X0,fun(X1,$o)) ) > X1 ) ).

tff(func_def_3622,type,
    sK2293: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X1,$o) * fun(X0,filter(X1)) ) > fun(X0,fun(X1,$o)) ) ).

tff(func_def_3623,type,
    sK2294: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X1,$o) * fun(X0,filter(X1)) * X1 ) > X0 ) ).

tff(func_def_3624,type,
    sK2295: 
      !>[X0: $tType] : ( set(filter(X0)) > filter(X0) ) ).

tff(func_def_3625,type,
    sK2296: 
      !>[X0: $tType] : ( set(filter(X0)) > filter(X0) ) ).

tff(func_def_3626,type,
    sK2297: 
      !>[X0: $tType] : ( ( set(filter(X0)) * fun(X0,$o) ) > filter(X0) ) ).

tff(func_def_3627,type,
    sK2298: 
      !>[X0: $tType] : ( ( filter(X0) * filter(X0) ) > fun(X0,$o) ) ).

tff(func_def_3628,type,
    sK2299: 
      !>[X0: $tType] : ( ( filter(X0) * filter(X0) ) > fun(X0,$o) ) ).

tff(func_def_3629,type,
    sK2300: 
      !>[X0: $tType] : ( ( fun(X0,$o) * fun(X0,$o) * fun(X0,$o) ) > X0 ) ).

tff(func_def_3630,type,
    sK2301: 
      !>[X0: $tType] : ( ( fun(X0,$o) * filter(X0) * filter(X0) ) > fun(X0,$o) ) ).

tff(func_def_3631,type,
    sK2302: 
      !>[X0: $tType] : ( ( fun(X0,$o) * filter(X0) * filter(X0) ) > fun(X0,$o) ) ).

tff(func_def_3632,type,
    sK2303: 
      !>[X0: $tType] : ( fun(X0,$o) > X0 ) ).

tff(func_def_3633,type,
    sK2304: 
      !>[X0: $tType] : ( ( filter(X0) * filter(X0) ) > fun(X0,$o) ) ).

tff(func_def_3634,type,
    sK2305: 
      !>[X0: $tType] : ( ( fun(X0,$o) * fun(X0,$o) ) > X0 ) ).

tff(func_def_3635,type,
    sK2306: 
      !>[X0: $tType] : ( fun(X0,$o) > X0 ) ).

tff(func_def_3636,type,
    sK2307: 
      !>[X0: $tType] : ( fun(X0,$o) > X0 ) ).

tff(func_def_3637,type,
    sK2308: 
      !>[X0: $tType] : ( ( fun(X0,$o) * fun(X0,$o) * fun(X0,$o) ) > X0 ) ).

tff(func_def_3638,type,
    sK2309: 
      !>[X0: $tType] : ( fun(X0,$o) > X0 ) ).

tff(func_def_3639,type,
    sK2310: 
      !>[X0: $tType] : ( fun(X0,$o) > X0 ) ).

tff(func_def_3640,type,
    sK2311: 
      !>[X0: $tType] : ( fun(X0,$o) > X0 ) ).

tff(func_def_3641,type,
    sK2312: 
      !>[X0: $tType] : ( ( fun(X0,$o) * set(filter(X0)) ) > filter(X0) ) ).

tff(func_def_3642,type,
    sK2313: 
      !>[X0: $tType] : ( fun(X0,$o) > X0 ) ).

tff(func_def_3643,type,
    sK2314: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_3644,type,
    sK2315: 
      !>[X0: $tType] : ( ( fun(nat,X0) * X0 ) > set(X0) ) ).

tff(func_def_3645,type,
    sK2316: 
      !>[X0: $tType] : ( ( fun(nat,X0) * X0 * nat ) > nat ) ).

tff(func_def_3646,type,
    sK2317: 
      !>[X0: $tType] : ( ( fun(nat,X0) * set(X0) ) > nat ) ).

tff(func_def_3647,type,
    sK2318: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_3648,type,
    sK2319: 
      !>[X0: $tType] : ( ( X0 * X0 ) > set(X0) ) ).

tff(func_def_3649,type,
    sK2320: 
      !>[X0: $tType] : ( ( X0 * X0 ) > set(X0) ) ).

tff(func_def_3650,type,
    sK2321: 
      !>[X0: $tType] : ( ( X0 * X0 ) > set(X0) ) ).

tff(func_def_3651,type,
    sK2322: 
      !>[X0: $tType] : ( ( X0 * X0 ) > set(X0) ) ).

tff(func_def_3652,type,
    sK2323: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_3653,type,
    sK2324: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > set(X0) ) ).

tff(func_def_3654,type,
    sK2325: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_3655,type,
    sK2326: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * set(X0) ) > fun(X1,X0) ) ).

tff(func_def_3656,type,
    sK2327: 
      !>[X0: $tType,X1: $tType] : ( set(X1) > fun(X0,X1) ) ).

tff(func_def_3657,type,
    sK2328: 
      !>[X0: $tType,X1: $tType] : ( set(X1) > set(X0) ) ).

tff(func_def_3658,type,
    sK2329: 
      !>[X0: $tType,X1: $tType] : ( ( set(product_prod(X1,X1)) * set(X0) ) > set(product_prod(X0,X0)) ) ).

tff(func_def_3659,type,
    sK2330: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * set(X1) ) > fun(X0,X1) ) ).

tff(func_def_3660,type,
    sK2331: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( set(X2) * fun(X2,set(X0)) * fun(X0,X1) * fun(X2,set(X1)) ) > X2 ) ).

tff(func_def_3661,type,
    sK2332: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,set(X0)) ) > X1 ) ).

tff(func_def_3662,type,
    sK2333: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,set(X0)) ) > X1 ) ).

tff(func_def_3663,type,
    sK2334: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * fun(X0,X1) * set(X1) ) > X1 ) ).

tff(func_def_3664,type,
    sK2335: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X1,X0) * fun(X0,X1) ) > X0 ) ).

tff(func_def_3665,type,
    sK2336: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > fun(X0,X0) ) ).

tff(func_def_3666,type,
    sK2337: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > fun(X0,X0) ) ).

tff(func_def_3667,type,
    sK2338: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * set(X1) ) > fun(X0,X1) ) ).

tff(func_def_3668,type,
    sK2339: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * set(X1) ) > fun(X1,X0) ) ).

tff(func_def_3669,type,
    sK2340: 
      !>[X0: $tType,X1: $tType] : ( ( set(product_prod(X0,X0)) * set(product_prod(X1,X1)) ) > set(product_prod(X1,X1)) ) ).

tff(func_def_3670,type,
    sK2341: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,set(X0)) * fun(X1,set(product_prod(X0,X0))) ) > X1 ) ).

tff(func_def_3671,type,
    sK2342: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,set(X0)) * fun(X1,set(product_prod(X0,X0))) ) > X1 ) ).

tff(func_def_3672,type,
    sK2343: 
      !>[X0: $tType] : ( ( set(X0) * set(product_prod(X0,X0)) ) > product_prod(X0,X0) ) ).

tff(func_def_3673,type,
    sK2344: 
      !>[X0: $tType] : ( ( set(X0) * set(product_prod(X0,X0)) ) > X0 ) ).

tff(func_def_3674,type,
    sK2345: 
      !>[X0: $tType] : ( set(product_prod(X0,X0)) > set(X0) ) ).

tff(func_def_3675,type,
    sK2346: 
      !>[X0: $tType,X1: $tType] : ( fun(fun(X1,X0),fun(X1,fun(X0,$o))) > fun(X1,X0) ) ).

tff(func_def_3676,type,
    sK2347: 
      !>[X0: $tType,X1: $tType] : ( ( set(product_prod(X1,X1)) * fun(fun(X1,X0),fun(X1,fun(X0,$o))) ) > X1 ) ).

tff(func_def_3677,type,
    sK2348: 
      !>[X0: $tType,X1: $tType] : ( ( set(product_prod(X1,X1)) * fun(fun(X1,X0),fun(X1,fun(X0,$o))) ) > fun(X1,X0) ) ).

tff(func_def_3678,type,
    sK2349: 
      !>[X0: $tType,X1: $tType] : ( ( set(product_prod(X1,X1)) * fun(fun(X1,X0),fun(X1,fun(X0,$o))) ) > fun(X1,X0) ) ).

tff(func_def_3679,type,
    sK2350: 
      !>[X0: $tType,X1: $tType] : ( ( set(product_prod(X1,X1)) * fun(fun(X1,X0),fun(X1,fun(X0,$o))) ) > fun(X1,X0) ) ).

tff(func_def_3680,type,
    sK2351: 
      !>[X0: $tType,X1: $tType] : ( ( set(product_prod(X1,X1)) * fun(fun(X1,X0),fun(X1,fun(X0,$o))) ) > X1 ) ).

tff(func_def_3681,type,
    sK2352: 
      !>[X0: $tType,X1: $tType] : ( ( set(product_prod(X1,X1)) * fun(fun(X1,X0),fun(X1,fun(X0,$o))) ) > X0 ) ).

tff(func_def_3682,type,
    sK2353: 
      !>[X0: $tType,X1: $tType] : ( ( set(product_prod(X1,X1)) * fun(X1,set(X0)) * fun(X1,set(X0)) ) > X1 ) ).

tff(func_def_3683,type,
    sK2354: 
      !>[X0: $tType,X1: $tType] : ( ( set(product_prod(X1,X1)) * fun(X1,set(X0)) * fun(X1,set(X0)) ) > X1 ) ).

tff(func_def_3684,type,
    sK2355: 
      !>[X0: $tType] : ( set(product_prod(X0,X0)) > set(X0) ) ).

tff(func_def_3685,type,
    sK2356: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * X0 ) > X0 ) ).

tff(func_def_3686,type,
    sK2357: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * set(X0) ) > X0 ) ).

tff(func_def_3687,type,
    sK2358: 
      !>[X0: $tType,X1: $tType] : ( ( set(product_prod(X1,X1)) * fun(X0,$o) * fun(X0,X1) ) > X0 ) ).

tff(func_def_3688,type,
    sK2359: 
      !>[X0: $tType] : ( set(product_prod(X0,X0)) > X0 ) ).

tff(func_def_3689,type,
    sK2360: 
      !>[X0: $tType] : ( set(product_prod(X0,X0)) > X0 ) ).

tff(func_def_3690,type,
    sK2361: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * fun(X0,nat) * fun(X0,nat) ) > X0 ) ).

tff(func_def_3691,type,
    sK2362: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * fun(X0,nat) * fun(X0,nat) ) > X0 ) ).

tff(func_def_3692,type,
    sK2363: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * fun(nat,X0) ) > nat ) ).

tff(func_def_3693,type,
    sK2364: 
      !>[X0: $tType] : ( set(product_prod(X0,X0)) > fun(nat,X0) ) ).

tff(func_def_3694,type,
    sK2365: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * fun(nat,X0) ) > nat ) ).

tff(func_def_3695,type,
    sK2366: 
      !>[X0: $tType] : ( set(product_prod(X0,X0)) > fun(X0,$o) ) ).

tff(func_def_3696,type,
    sK2367: 
      !>[X0: $tType] : ( set(product_prod(X0,X0)) > X0 ) ).

tff(func_def_3697,type,
    sK2368: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * X0 ) > X0 ) ).

tff(func_def_3698,type,
    sK2369: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * fun(X0,$o) ) > X0 ) ).

tff(func_def_3699,type,
    sK2370: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * set(X0) ) > X0 ) ).

tff(func_def_3700,type,
    sK2371: 
      !>[X0: $tType] : ( set(product_prod(X0,X0)) > X0 ) ).

tff(func_def_3701,type,
    sK2372: 
      !>[X0: $tType] : ( set(product_prod(X0,X0)) > set(X0) ) ).

tff(func_def_3702,type,
    sK2373: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * X0 ) > X0 ) ).

tff(func_def_3703,type,
    sK2374: 
      !>[X0: $tType] : ( set(product_prod(X0,X0)) > fun(X0,$o) ) ).

tff(func_def_3704,type,
    sK2375: 
      !>[X0: $tType] : ( set(product_prod(X0,X0)) > X0 ) ).

tff(func_def_3705,type,
    sK2376: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * X0 ) > X0 ) ).

tff(func_def_3706,type,
    sK2377: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * fun(X0,$o) ) > X0 ) ).

tff(func_def_3707,type,
    sK2378: 
      !>[X0: $tType] : ( set(product_prod(X0,X0)) > set(X0) ) ).

tff(func_def_3708,type,
    sK2379: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * X0 ) > X0 ) ).

tff(func_def_3709,type,
    sK2380: 
      !>[X0: $tType] : ( set(product_prod(X0,X0)) > X0 ) ).

tff(func_def_3710,type,
    sK2381: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * set(X0) ) > X0 ) ).

tff(func_def_3711,type,
    sK2382: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * fun(X0,$o) ) > X0 ) ).

tff(func_def_3712,type,
    sK2383: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * set(X0) ) > X0 ) ).

tff(func_def_3713,type,
    sK2384: 
      !>[X0: $tType,X1: $tType] : ( ( X0 * X1 * set(product_prod(product_prod(X0,X1),product_prod(X0,X1))) * fun(X0,fun(X1,$o)) ) > X0 ) ).

tff(func_def_3714,type,
    sK2385: 
      !>[X0: $tType,X1: $tType] : ( ( X0 * X1 * set(product_prod(product_prod(X0,X1),product_prod(X0,X1))) * fun(X0,fun(X1,$o)) ) > X1 ) ).

tff(func_def_3715,type,
    sK2386: 
      !>[X0: $tType,X1: $tType] : ( ( X0 * X1 * set(product_prod(product_prod(X0,X1),product_prod(X0,X1))) * fun(X0,fun(X1,$o)) ) > X0 ) ).

tff(func_def_3716,type,
    sK2387: 
      !>[X0: $tType,X1: $tType] : ( ( X0 * X1 * set(product_prod(product_prod(X0,X1),product_prod(X0,X1))) * fun(X0,fun(X1,$o)) ) > X1 ) ).

tff(func_def_3717,type,
    sK2388: 
      !>[X0: $tType,X1: $tType] : ( ( X1 * X0 * X1 * X0 * set(product_prod(product_prod(X1,X0),product_prod(X1,X0))) ) > X1 ) ).

tff(func_def_3718,type,
    sK2389: 
      !>[X0: $tType,X1: $tType] : ( ( X1 * X0 * X1 * X0 * set(product_prod(product_prod(X1,X0),product_prod(X1,X0))) ) > X0 ) ).

tff(func_def_3719,type,
    sK2390: 
      !>[X0: $tType,X1: $tType] : ( ( X0 * X1 * set(product_prod(product_prod(X0,X1),product_prod(X0,X1))) * fun(X0,fun(X1,$o)) ) > X0 ) ).

tff(func_def_3720,type,
    sK2391: 
      !>[X0: $tType,X1: $tType] : ( ( X0 * X1 * set(product_prod(product_prod(X0,X1),product_prod(X0,X1))) * fun(X0,fun(X1,$o)) ) > X1 ) ).

tff(func_def_3721,type,
    sK2392: 
      !>[X0: $tType,X1: $tType] : ( ( X0 * X1 * set(product_prod(product_prod(X0,X1),product_prod(X0,X1))) * fun(X0,fun(X1,$o)) ) > X0 ) ).

tff(func_def_3722,type,
    sK2393: 
      !>[X0: $tType,X1: $tType] : ( ( X0 * X1 * set(product_prod(product_prod(X0,X1),product_prod(X0,X1))) * fun(X0,fun(X1,$o)) ) > X1 ) ).

tff(func_def_3723,type,
    sK2394: 
      !>[X0: $tType] : ( ( X0 * set(product_prod(X0,X0)) * fun(X0,$o) ) > X0 ) ).

tff(func_def_3724,type,
    sK2395: 
      !>[X0: $tType] : ( ( X0 * set(product_prod(X0,X0)) * fun(X0,$o) ) > X0 ) ).

tff(func_def_3725,type,
    sK2396: 
      !>[X0: $tType] : ( ( X0 * X0 * set(product_prod(X0,X0)) ) > X0 ) ).

tff(func_def_3726,type,
    sK2397: 
      !>[X0: $tType] : ( ( X0 * set(product_prod(X0,X0)) * fun(X0,$o) ) > X0 ) ).

tff(func_def_3727,type,
    sK2398: 
      !>[X0: $tType] : ( ( X0 * set(product_prod(X0,X0)) * fun(X0,$o) ) > X0 ) ).

tff(func_def_3728,type,
    sK2399: 
      !>[X0: $tType] : ( ( X0 * X0 * set(product_prod(X0,X0)) ) > X0 ) ).

tff(func_def_3729,type,
    sK2400: 
      !>[X0: $tType] : ( ( X0 * X0 ) > X0 ) ).

tff(func_def_3730,type,
    sK2401: 
      !>[X0: $tType] : ( ( X0 * X0 * set(product_prod(X0,X0)) ) > X0 ) ).

tff(func_def_3731,type,
    sK2402: 
      !>[X0: $tType] : ( ( X0 * X0 * set(product_prod(X0,X0)) ) > X0 ) ).

tff(func_def_3732,type,
    sK2403: 
      !>[X0: $tType] : ( ( X0 * X0 * set(product_prod(X0,X0)) ) > X0 ) ).

tff(func_def_3733,type,
    sK2404: 
      !>[X0: $tType] : ( ( X0 * X0 * set(product_prod(X0,X0)) ) > X0 ) ).

tff(func_def_3734,type,
    sK2405: 
      !>[X0: $tType] : ( ( X0 * set(product_prod(X0,X0)) * set(product_prod(X0,X0)) ) > X0 ) ).

tff(func_def_3735,type,
    sK2406: 
      !>[X0: $tType] : ( ( X0 * set(product_prod(X0,X0)) * set(product_prod(X0,X0)) ) > X0 ) ).

tff(func_def_3736,type,
    sK2407: 
      !>[X0: $tType] : ( ( X0 * set(product_prod(X0,X0)) * set(product_prod(X0,X0)) ) > X0 ) ).

tff(func_def_3737,type,
    sK2408: 
      !>[X0: $tType] : ( ( X0 * set(product_prod(X0,X0)) * set(product_prod(X0,X0)) ) > X0 ) ).

tff(func_def_3738,type,
    sK2409: 
      !>[X0: $tType] : ( ( product_prod(X0,X0) * set(X0) ) > X0 ) ).

tff(func_def_3739,type,
    sK2410: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * fun(X0,$o) ) > X0 ) ).

tff(func_def_3740,type,
    sK2411: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * fun(X0,$o) ) > X0 ) ).

tff(func_def_3741,type,
    sK2412: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * set(X0) * X0 ) > X0 ) ).

tff(func_def_3742,type,
    sK2413: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( set(product_prod(X1,X1)) * set(X0) * fun(X0,set(X2)) ) > X0 ) ).

tff(func_def_3743,type,
    sK2414: 
      !>[X0: $tType] : ( set(set(product_prod(X0,X0))) > set(product_prod(X0,X0)) ) ).

tff(func_def_3744,type,
    sK2415: 
      !>[X0: $tType] : ( set(set(product_prod(X0,X0))) > set(product_prod(X0,X0)) ) ).

tff(func_def_3745,type,
    sK2416: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * X0 ) > X0 ) ).

tff(func_def_3746,type,
    sK2417: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( set(product_prod(X0,X0)) * set(X2) * fun(X2,set(X1)) ) > X2 ) ).

tff(func_def_3747,type,
    sK2418: 
      !>[X0: $tType] : X0 ).

tff(func_def_3748,type,
    sK2419: 
      !>[X0: $tType] : X0 ).

tff(func_def_3749,type,
    sK2420: 
      !>[X0: $tType] : ( fun(X0,X0) > X0 ) ).

tff(func_def_3750,type,
    sK2421: 
      !>[X0: $tType] : ( fun(X0,X0) > X0 ) ).

tff(func_def_3751,type,
    sK2422: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_3752,type,
    sK2423: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_3753,type,
    sK2424: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_3754,type,
    sK2425: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_3755,type,
    sK2426: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_3756,type,
    sK2427: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_3757,type,
    sK2428: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_3758,type,
    sK2429: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_3759,type,
    sK2430: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_3760,type,
    sK2431: 
      !>[X0: $tType] : X0 ).

tff(func_def_3761,type,
    sK2432: 
      !>[X0: $tType] : X0 ).

tff(func_def_3762,type,
    sK2433: 
      !>[X0: $tType] : ( fun(X0,X0) > X0 ) ).

tff(func_def_3763,type,
    sK2434: 
      !>[X0: $tType] : ( fun(X0,X0) > X0 ) ).

tff(func_def_3764,type,
    sK2435: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_3765,type,
    sK2436: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_3766,type,
    sK2437: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_3767,type,
    sK2438: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_3768,type,
    sK2439: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_3769,type,
    sK2440: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_3770,type,
    sK2441: 
      !>[X0: $tType] : ( ( set(X0) * set(X0) ) > X0 ) ).

tff(func_def_3771,type,
    sK2442: 
      !>[X0: $tType] : ( ( set(X0) * set(X0) ) > X0 ) ).

tff(func_def_3772,type,
    sK2443: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_3773,type,
    sK2444: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_3774,type,
    sK2445: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_3775,type,
    sK2446: 
      !>[X0: $tType] : ( fun(X0,fun(X0,X0)) > X0 ) ).

tff(func_def_3776,type,
    sK2447: 
      !>[X0: $tType] : ( fun(X0,fun(X0,X0)) > X0 ) ).

tff(func_def_3777,type,
    sK2448: 
      !>[X0: $tType] : ( fun(X0,fun(X0,X0)) > X0 ) ).

tff(func_def_3778,type,
    sK2449: 
      !>[X0: $tType] : ( fun(X0,fun(X0,X0)) > X0 ) ).

tff(func_def_3779,type,
    sK2450: 
      !>[X0: $tType] : ( fun(X0,fun(X0,X0)) > X0 ) ).

tff(func_def_3780,type,
    sK2451: 
      !>[X0: $tType] : ( fun(X0,fun(X0,X0)) > X0 ) ).

tff(func_def_3781,type,
    sK2452: 
      !>[X0: $tType] : ( fun(X0,fun(X0,X0)) > X0 ) ).

tff(func_def_3782,type,
    sK2453: 
      !>[X0: $tType] : X0 ).

tff(func_def_3783,type,
    sK2454: 
      !>[X0: $tType] : X0 ).

tff(func_def_3784,type,
    sK2455: 
      !>[X0: $tType] : ( fun(X0,X0) > X0 ) ).

tff(func_def_3785,type,
    sK2456: 
      !>[X0: $tType] : ( fun(X0,X0) > X0 ) ).

tff(func_def_3786,type,
    sK2457: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_3787,type,
    sK2458: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_3788,type,
    sK2459: 
      !>[X0: $tType] : ( fun(X0,fun(X0,X0)) > X0 ) ).

tff(func_def_3789,type,
    sK2460: 
      !>[X0: $tType] : ( fun(X0,fun(X0,X0)) > X0 ) ).

tff(func_def_3790,type,
    sK2461: 
      !>[X0: $tType] : ( fun(X0,fun(X0,X0)) > X0 ) ).

tff(func_def_3791,type,
    sK2462: 
      !>[X0: $tType] : ( fun(X0,fun(X0,X0)) > X0 ) ).

tff(func_def_3792,type,
    sK2463: 
      !>[X0: $tType] : ( fun(X0,fun(X0,X0)) > X0 ) ).

tff(func_def_3793,type,
    sK2464: 
      !>[X0: $tType] : ( fun(X0,fun(X0,X0)) > X0 ) ).

tff(func_def_3794,type,
    sK2465: 
      !>[X0: $tType] : ( fun(X0,fun(X0,X0)) > X0 ) ).

tff(func_def_3795,type,
    sK2466: 
      !>[X0: $tType] : X0 ).

tff(func_def_3796,type,
    sK2467: 
      !>[X0: $tType] : X0 ).

tff(func_def_3797,type,
    sK2468: 
      !>[X0: $tType] : ( fun(X0,X0) > X0 ) ).

tff(func_def_3798,type,
    sK2469: 
      !>[X0: $tType] : ( fun(X0,X0) > X0 ) ).

tff(func_def_3799,type,
    sK2470: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_3800,type,
    sK2471: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_3801,type,
    sK2472: 
      !>[X0: $tType] : ( list(X0) > nat ) ).

tff(func_def_3802,type,
    sK2473: 
      !>[X0: $tType] : ( list(X0) > nat ) ).

tff(func_def_3803,type,
    sK2474: 
      !>[X0: $tType] : ( list(X0) > nat ) ).

tff(func_def_3804,type,
    sK2475: 
      !>[X0: $tType,X1: $tType] : ( ( product_prod(X0,X1) * list(X0) * list(X1) ) > nat ) ).

tff(func_def_3805,type,
    sK2476: 
      !>[X0: $tType,X1: $tType] : ( ( list(X0) * list(X1) * X0 ) > X1 ) ).

tff(func_def_3806,type,
    sK2477: 
      !>[X0: $tType,X1: $tType] : ( ( list(X0) * list(X1) * X1 ) > X0 ) ).

tff(func_def_3807,type,
    sK2478: 
      !>[X0: $tType,X1: $tType] : ( ( list(X0) * list(X1) * product_prod(X0,X1) * list(product_prod(X0,X1)) ) > X0 ) ).

tff(func_def_3808,type,
    sK2479: 
      !>[X0: $tType,X1: $tType] : ( ( list(X0) * list(X1) * product_prod(X0,X1) * list(product_prod(X0,X1)) ) > list(X0) ) ).

tff(func_def_3809,type,
    sK2480: 
      !>[X0: $tType,X1: $tType] : ( ( list(X0) * list(X1) * product_prod(X0,X1) * list(product_prod(X0,X1)) ) > X1 ) ).

tff(func_def_3810,type,
    sK2481: 
      !>[X0: $tType,X1: $tType] : ( ( list(X0) * list(X1) * product_prod(X0,X1) * list(product_prod(X0,X1)) ) > list(X1) ) ).

tff(func_def_3811,type,
    sK2482: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) ) > product_prod(X0,X0) ) ).

tff(func_def_3812,type,
    sK2483: fun(real,$o) > nat ).

tff(func_def_3813,type,
    sK2484: fun(real,$o) > real ).

tff(func_def_3814,type,
    sK2485: fun(real,$o) > real ).

tff(func_def_3815,type,
    sK2486: int > nat ).

tff(func_def_3816,type,
    sK2487: int > nat ).

tff(func_def_3817,type,
    sK2488: ( fun(nat,rat) * fun(nat,rat) ) > rat ).

tff(func_def_3818,type,
    sK2489: ( fun(nat,rat) * fun(nat,rat) * nat ) > nat ).

tff(func_def_3819,type,
    sK2490: ( fun(nat,rat) * fun(nat,rat) * rat ) > nat ).

tff(func_def_3820,type,
    sK2491: fun(nat,rat) > rat ).

tff(func_def_3821,type,
    sK2492: fun(nat,rat) > nat ).

tff(func_def_3822,type,
    sK2493: fun(nat,rat) > rat ).

tff(func_def_3823,type,
    sK2494: fun(nat,rat) > nat ).

tff(func_def_3824,type,
    sK2495: fun(nat,rat) > rat ).

tff(func_def_3825,type,
    sK2496: ( fun(nat,rat) * nat ) > nat ).

tff(func_def_3826,type,
    sK2497: ( fun(nat,rat) * nat ) > nat ).

tff(func_def_3827,type,
    sK2498: ( fun(nat,rat) * rat ) > nat ).

tff(func_def_3828,type,
    sK2499: fun(nat,rat) > rat ).

tff(func_def_3829,type,
    sK2500: ( fun(nat,rat) * nat ) > nat ).

tff(func_def_3830,type,
    sK2501: ( fun(nat,rat) * nat ) > nat ).

tff(func_def_3831,type,
    sK2502: ( fun(nat,rat) * rat ) > nat ).

tff(func_def_3832,type,
    sK2503: ( fun(nat,real) * real ) > real ).

tff(func_def_3833,type,
    sK2504: ( fun(nat,real) * real ) > nat ).

tff(func_def_3834,type,
    sK2505: fun(nat,real) > nat ).

tff(func_def_3835,type,
    sK2506: 
      !>[X0: $tType] : ( set(X0) > list(X0) ) ).

tff(func_def_3836,type,
    sK2507: 
      !>[X0: $tType] : ( list(X0) > nat ) ).

tff(func_def_3837,type,
    sK2508: 
      !>[X0: $tType] : ( list(X0) > nat ) ).

tff(func_def_3838,type,
    sK2509: 
      !>[X0: $tType] : ( list(X0) > nat ) ).

tff(func_def_3839,type,
    sK2510: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,$o)) * list(X0) ) > X0 ) ).

tff(func_def_3840,type,
    sK2511: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,$o)) * list(X0) ) > list(X0) ) ).

tff(func_def_3841,type,
    sK2512: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,$o)) * $o * list(X0) ) > X0 ) ).

tff(func_def_3842,type,
    sK2513: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,$o)) * $o * list(X0) ) > list(X0) ) ).

tff(func_def_3843,type,
    sK2514: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,$o)) * $o * list(X0) ) > X0 ) ).

tff(func_def_3844,type,
    sK2515: 
      !>[X0: $tType] : ( list(X0) > nat ) ).

tff(func_def_3845,type,
    sK2516: 
      !>[X0: $tType] : ( list(X0) > nat ) ).

tff(func_def_3846,type,
    sK2517: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,$o)) * list(X0) ) > nat ) ).

tff(func_def_3847,type,
    sK2518: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,$o)) * list(X0) ) > nat ) ).

tff(func_def_3848,type,
    sK2519: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,$o)) * X0 * list(X0) ) > X0 ) ).

tff(func_def_3849,type,
    sK2520: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,$o)) * list(X0) ) > X0 ) ).

tff(func_def_3850,type,
    sK2521: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,$o)) * list(X0) ) > list(X0) ) ).

tff(func_def_3851,type,
    sK2522: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,$o)) * list(X0) ) > X0 ) ).

tff(func_def_3852,type,
    sK2523: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) ) > X0 ) ).

tff(func_def_3853,type,
    sK2524: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) ) > X0 ) ).

tff(func_def_3854,type,
    sK2525: 
      !>[X0: $tType] : ( ( X0 * list(X0) ) > X0 ) ).

tff(func_def_3855,type,
    sK2526: 
      !>[X0: $tType] : ( ( X0 * list(X0) ) > X0 ) ).

tff(func_def_3856,type,
    sK2527: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,$o)) * list(X0) * list(X0) ) > X0 ) ).

tff(func_def_3857,type,
    sK2528: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,$o)) * list(X0) * list(X0) ) > X0 ) ).

tff(func_def_3858,type,
    sK2529: 
      !>[X0: $tType] : ( ( list(X0) * fun(X0,fun(X0,$o)) * fun(X0,fun(X0,$o)) ) > X0 ) ).

tff(func_def_3859,type,
    sK2530: 
      !>[X0: $tType] : ( ( list(X0) * fun(X0,fun(X0,$o)) * fun(X0,fun(X0,$o)) ) > X0 ) ).

tff(func_def_3860,type,
    sK2531: 
      !>[X0: $tType] : ( ( list(X0) * X0 ) > X0 ) ).

tff(func_def_3861,type,
    sK2532: 
      !>[X0: $tType] : ( ( list(X0) * X0 ) > X0 ) ).

tff(func_def_3862,type,
    sK2533: 
      !>[X0: $tType] : ( ( nat * X0 * fun(X0,$o) ) > X0 ) ).

tff(func_def_3863,type,
    sK2534: 
      !>[X0: $tType] : ( ( nat * X0 * fun(X0,$o) ) > X0 ) ).

tff(func_def_3864,type,
    sK2535: 
      !>[X0: $tType] : ( ( list(X0) * nat * fun(nat,X0) ) > nat ) ).

tff(func_def_3865,type,
    sK2536: 
      !>[X0: $tType] : ( ( list(X0) * nat ) > X0 ) ).

tff(func_def_3866,type,
    sK2537: 
      !>[X0: $tType] : ( ( list(X0) * nat ) > list(X0) ) ).

tff(func_def_3867,type,
    sK2538: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) ) > list(X0) ) ).

tff(func_def_3868,type,
    sK2539: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) ) > X0 ) ).

tff(func_def_3869,type,
    sK2540: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) ) > list(X0) ) ).

tff(func_def_3870,type,
    sK2541: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) ) > X0 ) ).

tff(func_def_3871,type,
    sK2542: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) ) > list(X0) ) ).

tff(func_def_3872,type,
    sK2543: 
      !>[X0: $tType] : ( ( list(X0) * fun(X0,$o) ) > X0 ) ).

tff(func_def_3873,type,
    sK2544: 
      !>[X0: $tType] : ( ( fun(X0,$o) * list(X0) ) > X0 ) ).

tff(func_def_3874,type,
    sK2545: 
      !>[X0: $tType] : ( ( list(X0) * fun(X0,$o) ) > list(X0) ) ).

tff(func_def_3875,type,
    sK2546: 
      !>[X0: $tType] : ( ( list(X0) * fun(X0,$o) ) > X0 ) ).

tff(func_def_3876,type,
    sK2547: 
      !>[X0: $tType] : ( ( list(X0) * fun(X0,$o) ) > list(X0) ) ).

tff(func_def_3877,type,
    sK2548: 
      !>[X0: $tType] : ( ( list(X0) * fun(X0,$o) ) > X0 ) ).

tff(func_def_3878,type,
    sK2549: 
      !>[X0: $tType] : ( ( fun(X0,$o) * list(X0) ) > X0 ) ).

tff(func_def_3879,type,
    sK2550: 
      !>[X0: $tType] : ( ( list(X0) * fun(X0,$o) ) > list(X0) ) ).

tff(func_def_3880,type,
    sK2551: 
      !>[X0: $tType] : ( ( list(X0) * fun(X0,$o) ) > X0 ) ).

tff(func_def_3881,type,
    sK2552: 
      !>[X0: $tType] : ( ( list(X0) * fun(X0,$o) ) > list(X0) ) ).

tff(func_def_3882,type,
    sK2553: 
      !>[X0: $tType] : ( ( X0 * list(X0) ) > list(X0) ) ).

tff(func_def_3883,type,
    sK2554: 
      !>[X0: $tType] : ( ( X0 * list(X0) ) > list(X0) ) ).

tff(func_def_3884,type,
    sK2555: 
      !>[X0: $tType] : ( ( X0 * list(X0) ) > list(X0) ) ).

tff(func_def_3885,type,
    sK2556: 
      !>[X0: $tType] : ( ( X0 * list(X0) ) > list(X0) ) ).

tff(func_def_3886,type,
    sK2557: 
      !>[X0: $tType] : ( ( list(X0) * fun(X0,$o) ) > list(X0) ) ).

tff(func_def_3887,type,
    sK2558: 
      !>[X0: $tType] : ( ( list(X0) * fun(X0,$o) ) > X0 ) ).

tff(func_def_3888,type,
    sK2559: 
      !>[X0: $tType] : ( ( list(X0) * fun(X0,$o) ) > list(X0) ) ).

tff(func_def_3889,type,
    sK2560: 
      !>[X0: $tType] : ( ( list(X0) * fun(X0,$o) ) > list(X0) ) ).

tff(func_def_3890,type,
    sK2561: 
      !>[X0: $tType] : ( ( list(X0) * fun(X0,$o) ) > X0 ) ).

tff(func_def_3891,type,
    sK2562: 
      !>[X0: $tType] : ( ( list(X0) * fun(X0,$o) ) > list(X0) ) ).

tff(func_def_3892,type,
    sK2563: 
      !>[X0: $tType] : ( ( list(X0) * fun(X0,$o) ) > list(X0) ) ).

tff(func_def_3893,type,
    sK2564: 
      !>[X0: $tType] : ( ( list(X0) * fun(X0,$o) ) > X0 ) ).

tff(func_def_3894,type,
    sK2565: 
      !>[X0: $tType] : ( ( list(X0) * fun(X0,$o) ) > list(X0) ) ).

tff(func_def_3895,type,
    sK2566: 
      !>[X0: $tType] : ( ( list(X0) * fun(X0,$o) ) > list(X0) ) ).

tff(func_def_3896,type,
    sK2567: 
      !>[X0: $tType] : ( ( list(X0) * fun(X0,$o) ) > X0 ) ).

tff(func_def_3897,type,
    sK2568: 
      !>[X0: $tType] : ( ( list(X0) * fun(X0,$o) ) > list(X0) ) ).

tff(func_def_3898,type,
    sK2569: 
      !>[X0: $tType] : ( ( X0 * list(X0) ) > list(X0) ) ).

tff(func_def_3899,type,
    sK2570: 
      !>[X0: $tType] : ( ( X0 * list(X0) ) > list(X0) ) ).

tff(func_def_3900,type,
    sK2571: 
      !>[X0: $tType] : ( ( list(X0) * fun(X0,$o) ) > list(X0) ) ).

tff(func_def_3901,type,
    sK2572: 
      !>[X0: $tType] : ( ( list(X0) * fun(X0,$o) ) > X0 ) ).

tff(func_def_3902,type,
    sK2573: 
      !>[X0: $tType] : ( ( list(X0) * fun(X0,$o) ) > list(X0) ) ).

tff(func_def_3903,type,
    sK2574: 
      !>[X0: $tType] : ( ( X0 * list(X0) ) > list(X0) ) ).

tff(func_def_3904,type,
    sK2575: 
      !>[X0: $tType] : ( ( X0 * list(X0) ) > list(X0) ) ).

tff(func_def_3905,type,
    sK2576: 
      !>[X0: $tType] : ( ( list(X0) * fun(X0,$o) ) > list(X0) ) ).

tff(func_def_3906,type,
    sK2577: 
      !>[X0: $tType] : ( ( list(X0) * fun(X0,$o) ) > X0 ) ).

tff(func_def_3907,type,
    sK2578: 
      !>[X0: $tType] : ( ( list(X0) * fun(X0,$o) ) > list(X0) ) ).

tff(func_def_3908,type,
    sK2579: 
      !>[X0: $tType] : ( ( X0 * list(X0) ) > list(X0) ) ).

tff(func_def_3909,type,
    sK2580: 
      !>[X0: $tType] : ( ( X0 * list(X0) ) > list(X0) ) ).

tff(func_def_3910,type,
    sK2581: 
      !>[X0: $tType] : ( ( X0 * list(X0) ) > list(X0) ) ).

tff(func_def_3911,type,
    sK2582: 
      !>[X0: $tType] : ( ( X0 * list(X0) ) > list(X0) ) ).

tff(func_def_3912,type,
    sK2583: 
      !>[X0: $tType,X1: $tType] : ( ( X0 * set(product_prod(X1,X0)) * set(X1) ) > X1 ) ).

tff(func_def_3913,type,
    sK2584: 
      !>[X0: $tType,X1: $tType] : ( ( X0 * set(product_prod(X1,X0)) * set(X1) ) > X1 ) ).

tff(func_def_3914,type,
    sK2585: 
      !>[X0: $tType,X1: $tType] : ( ( X0 * X1 * set(product_prod(X1,X0)) ) > X1 ) ).

tff(func_def_3915,type,
    sK2586: 
      !>[X0: $tType,X1: $tType] : ( ( X0 * X1 * set(product_prod(X1,X0)) ) > X0 ) ).

tff(func_def_3916,type,
    sK2587: 
      !>[X0: $tType,X1: $tType] : ( ( product_prod(X0,X1) * set(product_prod(X1,X0)) ) > X1 ) ).

tff(func_def_3917,type,
    sK2588: 
      !>[X0: $tType,X1: $tType] : ( ( product_prod(X0,X1) * set(product_prod(X1,X0)) ) > X0 ) ).

tff(func_def_3918,type,
    sK2589: 
      !>[X0: $tType] : ( set(product_prod(X0,X0)) > X0 ) ).

tff(func_def_3919,type,
    sK2590: 
      !>[X0: $tType] : ( set(product_prod(X0,X0)) > product_prod(X0,X0) ) ).

tff(func_def_3920,type,
    sK2591: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,set(product_prod(X0,X0))) ) > X1 ) ).

tff(func_def_3921,type,
    sK2592: 
      !>[X0: $tType] : ( set(product_prod(X0,X0)) > X0 ) ).

tff(func_def_3922,type,
    sK2593: 
      !>[X0: $tType] : ( set(product_prod(X0,X0)) > X0 ) ).

tff(func_def_3923,type,
    sK2594: 
      !>[X0: $tType] : ( set(product_prod(X0,X0)) > X0 ) ).

tff(func_def_3924,type,
    sK2595: 
      !>[X0: $tType] : ( set(product_prod(X0,X0)) > X0 ) ).

tff(func_def_3925,type,
    sK2596: 
      !>[X0: $tType] : ( set(product_prod(X0,X0)) > X0 ) ).

tff(func_def_3926,type,
    sK2597: 
      !>[X0: $tType] : ( set(product_prod(X0,X0)) > X0 ) ).

tff(func_def_3927,type,
    sK2598: 
      !>[X0: $tType] : ( set(product_prod(X0,X0)) > X0 ) ).

tff(func_def_3928,type,
    sK2599: 
      !>[X0: $tType] : ( set(product_prod(X0,X0)) > X0 ) ).

tff(func_def_3929,type,
    sK2600: 
      !>[X0: $tType] : ( ( set(X0) * set(product_prod(X0,X0)) ) > X0 ) ).

tff(func_def_3930,type,
    sK2601: 
      !>[X0: $tType] : ( ( set(X0) * set(product_prod(X0,X0)) ) > X0 ) ).

tff(func_def_3931,type,
    sK2602: 
      !>[X0: $tType] : ( ( set(X0) * set(product_prod(X0,X0)) ) > X0 ) ).

tff(func_def_3932,type,
    sK2603: 
      !>[X0: $tType] : ( ( set(X0) * set(product_prod(X0,X0)) ) > X0 ) ).

tff(func_def_3933,type,
    sK2604: 
      !>[X0: $tType] : ( set(product_prod(X0,X0)) > product_prod(X0,X0) ) ).

tff(func_def_3934,type,
    sK2605: 
      !>[X0: $tType] : ( set(product_prod(X0,X0)) > X0 ) ).

tff(func_def_3935,type,
    sK2606: 
      !>[X0: $tType] : ( set(product_prod(X0,X0)) > X0 ) ).

tff(func_def_3936,type,
    sK2607: 
      !>[X0: $tType,X1: $tType] : ( ( list(X0) * list(X1) * fun(list(product_prod(X0,X1)),$o) ) > list(X0) ) ).

tff(func_def_3937,type,
    sK2608: 
      !>[X0: $tType,X1: $tType] : ( ( list(X0) * list(X1) * fun(list(product_prod(X0,X1)),$o) ) > list(X1) ) ).

tff(func_def_3938,type,
    sK2609: 
      !>[X0: $tType,X1: $tType] : ( ( list(X0) * list(X1) * fun(list(product_prod(X0,X1)),$o) ) > nat ) ).

tff(func_def_3939,type,
    sK2610: 
      !>[X0: $tType] : ( ( nat * list(X0) * list(X0) ) > nat ) ).

tff(func_def_3940,type,
    sK2611: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) * set(product_prod(X0,X0)) ) > nat ) ).

tff(func_def_3941,type,
    sK2612: 
      !>[X0: $tType] : ( ( list(X0) * set(product_prod(X0,X0)) ) > X0 ) ).

tff(func_def_3942,type,
    sK2613: 
      !>[X0: $tType] : ( set(product_prod(X0,X0)) > X0 ) ).

tff(func_def_3943,type,
    sK2614: 
      !>[X0: $tType] : ( ( list(X0) * set(product_prod(X0,X0)) ) > X0 ) ).

tff(func_def_3944,type,
    sK2615: 
      !>[X0: $tType] : ( ( list(X0) * set(product_prod(X0,X0)) ) > X0 ) ).

tff(func_def_3945,type,
    sK2616: 
      !>[X0: $tType] : ( ( list(X0) * set(product_prod(X0,X0)) ) > X0 ) ).

tff(func_def_3946,type,
    sK2617: 
      !>[X0: $tType] : ( set(product_prod(X0,X0)) > X0 ) ).

tff(func_def_3947,type,
    sK2618: 
      !>[X0: $tType] : ( set(product_prod(X0,X0)) > X0 ) ).

tff(func_def_3948,type,
    sK2619: 
      !>[X0: $tType] : ( set(product_prod(X0,X0)) > X0 ) ).

tff(func_def_3949,type,
    sK2620: 
      !>[X0: $tType] : ( list(X0) > X0 ) ).

tff(func_def_3950,type,
    sK2621: 
      !>[X0: $tType] : ( list(X0) > list(X0) ) ).

tff(func_def_3951,type,
    sK2622: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * list(X0) * list(X0) ) > list(X0) ) ).

tff(func_def_3952,type,
    sK2623: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * list(X0) * list(X0) ) > X0 ) ).

tff(func_def_3953,type,
    sK2624: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * list(X0) * list(X0) ) > X0 ) ).

tff(func_def_3954,type,
    sK2625: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * list(X0) * list(X0) ) > list(X0) ) ).

tff(func_def_3955,type,
    sK2626: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * list(X0) * list(X0) ) > list(X0) ) ).

tff(func_def_3956,type,
    sK2627: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * fun(X1,$o) ) > X1 ) ).

tff(func_def_3957,type,
    sK2628: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * fun(X1,$o) ) > X1 ) ).

tff(func_def_3958,type,
    sK2629: 
      !>[X0: $tType] : ( ( fun(X0,$o) * X0 ) > X0 ) ).

tff(func_def_3959,type,
    sK2630: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,$o) * fun(X0,$o) * fun(X0,X1) ) > X0 ) ).

tff(func_def_3960,type,
    sK2631: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * fun(X0,$o) * fun(X0,X1) ) > X0 ) ).

tff(func_def_3961,type,
    sK2632: 
      !>[X0: $tType] : ( ( nat * fun(nat,X0) * fun(nat,X0) ) > nat ) ).

tff(func_def_3962,type,
    sK2633: 
      !>[X0: $tType] : ( ( fun(nat,X0) * fun(nat,X0) * nat ) > nat ) ).

tff(func_def_3963,type,
    sK2634: 
      !>[X0: $tType] : ( ( fun(nat,X0) * nat * X0 ) > nat ) ).

tff(func_def_3964,type,
    sK2635: 
      !>[X0: $tType] : ( ( fun(nat,X0) * nat * X0 ) > nat ) ).

tff(func_def_3965,type,
    sK2636: 
      !>[X0: $tType] : ( ( fun(nat,X0) * X0 * nat ) > nat ) ).

tff(func_def_3966,type,
    sK2637: 
      !>[X0: $tType] : ( ( fun(nat,X0) * X0 * nat ) > nat ) ).

tff(func_def_3967,type,
    sK2638: 
      !>[X0: $tType] : ( set(X0) > list(X0) ) ).

tff(func_def_3968,type,
    sK2639: 
      !>[X0: $tType] : ( ( list(X0) * set(nat) ) > nat ) ).

tff(func_def_3969,type,
    sK2640: 
      !>[X0: $tType] : ( list(X0) > list(X0) ) ).

tff(func_def_3970,type,
    sK2641: 
      !>[X0: $tType] : ( list(X0) > X0 ) ).

tff(func_def_3971,type,
    sK2642: 
      !>[X0: $tType] : ( list(X0) > list(X0) ) ).

tff(func_def_3972,type,
    sK2643: 
      !>[X0: $tType] : ( ( list(X0) * X0 ) > nat ) ).

tff(func_def_3973,type,
    sK2644: 
      !>[X0: $tType] : ( list(X0) > nat ) ).

tff(func_def_3974,type,
    sK2645: 
      !>[X0: $tType] : ( list(X0) > nat ) ).

tff(func_def_3975,type,
    sK2646: 
      !>[X0: $tType] : ( set(X0) > list(X0) ) ).

tff(func_def_3976,type,
    sK2647: 
      !>[X0: $tType] : ( set(product_prod(X0,X0)) > X0 ) ).

tff(func_def_3977,type,
    sK2648: 
      !>[X0: $tType] : ( set(product_prod(X0,X0)) > X0 ) ).

tff(func_def_3978,type,
    sK2649: 
      !>[X0: $tType] : ( set(product_prod(X0,X0)) > X0 ) ).

tff(func_def_3979,type,
    sK2650: 
      !>[X0: $tType] : ( set(product_prod(X0,X0)) > X0 ) ).

tff(func_def_3980,type,
    sK2651: 
      !>[X0: $tType] : ( set(product_prod(X0,X0)) > X0 ) ).

tff(func_def_3981,type,
    sK2652: 
      !>[X0: $tType,X1: $tType] : ( ( set(product_prod(X1,X1)) * set(product_prod(X0,X0)) ) > X1 ) ).

tff(func_def_3982,type,
    sK2653: 
      !>[X0: $tType,X1: $tType] : ( ( set(product_prod(X0,X0)) * set(product_prod(X1,X1)) ) > X0 ) ).

tff(func_def_3983,type,
    sK2654: 
      !>[X0: $tType] : ( set(product_prod(X0,X0)) > X0 ) ).

tff(func_def_3984,type,
    sK2655: 
      !>[X0: $tType] : ( set(product_prod(X0,X0)) > set(X0) ) ).

tff(func_def_3985,type,
    sK2656: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * X0 ) > X0 ) ).

tff(func_def_3986,type,
    sK2657: 
      !>[X0: $tType] : ( ( set(X0) * set(set(X0)) ) > set(X0) ) ).

tff(func_def_3987,type,
    sK2658: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,$o)) * set(X0) * X0 ) > X0 ) ).

tff(func_def_3988,type,
    sK2659: 
      !>[X0: $tType] : ( set(set(X0)) > set(X0) ) ).

tff(func_def_3989,type,
    sK2660: 
      !>[X0: $tType] : ( set(set(X0)) > set(set(X0)) ) ).

tff(func_def_3990,type,
    sK2661: 
      !>[X0: $tType] : ( ( set(X0) * set(set(X0)) ) > set(X0) ) ).

tff(func_def_3991,type,
    sK2662: 
      !>[X0: $tType] : ( set(set(X0)) > set(X0) ) ).

tff(func_def_3992,type,
    sK2663: 
      !>[X0: $tType] : ( set(set(X0)) > set(X0) ) ).

tff(func_def_3993,type,
    sK2664: 
      !>[X0: $tType] : ( set(set(X0)) > set(X0) ) ).

tff(func_def_3994,type,
    sK2665: 
      !>[X0: $tType] : ( set(set(X0)) > set(set(X0)) ) ).

tff(func_def_3995,type,
    sK2666: 
      !>[X0: $tType] : ( set(set(X0)) > set(X0) ) ).

tff(func_def_3996,type,
    sK2667: 
      !>[X0: $tType] : ( set(set(X0)) > set(set(X0)) ) ).

tff(func_def_3997,type,
    sK2668: 
      !>[X0: $tType] : ( ( set(set(X0)) * set(X0) ) > set(X0) ) ).

tff(func_def_3998,type,
    sK2669: 
      !>[X0: $tType] : ( ( set(X0) * fun(X0,fun(X0,$o)) ) > X0 ) ).

tff(func_def_3999,type,
    sK2670: 
      !>[X0: $tType] : ( ( set(X0) * fun(X0,fun(X0,$o)) ) > X0 ) ).

tff(func_def_4000,type,
    sK2671: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,$o)) * set(X0) ) > X0 ) ).

tff(func_def_4001,type,
    sK2672: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,$o)) * set(X0) ) > X0 ) ).

tff(func_def_4002,type,
    sK2673: 
      !>[X0: $tType] : ( product_prod(X0,X0) > X0 ) ).

tff(func_def_4003,type,
    sK2674: 
      !>[X0: $tType] : ( ( X0 * X0 * set(product_prod(X0,X0)) ) > X0 ) ).

tff(func_def_4004,type,
    sK2675: 
      !>[X0: $tType] : ( ( X0 * X0 * set(product_prod(X0,X0)) ) > X0 ) ).

tff(func_def_4005,type,
    sK2676: 
      !>[X0: $tType,X1: $tType] : ( ( X0 * X1 * set(product_prod(product_prod(X0,X1),product_prod(X0,X1))) * fun(X0,fun(X1,$o)) ) > X0 ) ).

tff(func_def_4006,type,
    sK2677: 
      !>[X0: $tType,X1: $tType] : ( ( X0 * X1 * set(product_prod(product_prod(X0,X1),product_prod(X0,X1))) * fun(X0,fun(X1,$o)) ) > X1 ) ).

tff(func_def_4007,type,
    sK2678: 
      !>[X0: $tType,X1: $tType] : ( ( X0 * X1 * set(product_prod(product_prod(X0,X1),product_prod(X0,X1))) * fun(X0,fun(X1,$o)) ) > X0 ) ).

tff(func_def_4008,type,
    sK2679: 
      !>[X0: $tType,X1: $tType] : ( ( X0 * X1 * set(product_prod(product_prod(X0,X1),product_prod(X0,X1))) * fun(X0,fun(X1,$o)) ) > X1 ) ).

tff(func_def_4009,type,
    sK2680: 
      !>[X0: $tType,X1: $tType] : ( ( X0 * X1 * set(product_prod(product_prod(X0,X1),product_prod(X0,X1))) * fun(X0,fun(X1,$o)) ) > X0 ) ).

tff(func_def_4010,type,
    sK2681: 
      !>[X0: $tType,X1: $tType] : ( ( X0 * X1 * set(product_prod(product_prod(X0,X1),product_prod(X0,X1))) * fun(X0,fun(X1,$o)) ) > X1 ) ).

tff(func_def_4011,type,
    sK2682: 
      !>[X0: $tType] : ( ( X0 * set(product_prod(X0,X0)) * fun(X0,$o) ) > X0 ) ).

tff(func_def_4012,type,
    sK2683: 
      !>[X0: $tType] : ( ( X0 * set(product_prod(X0,X0)) * fun(X0,$o) ) > X0 ) ).

tff(func_def_4013,type,
    sK2684: 
      !>[X0: $tType] : ( ( X0 * set(product_prod(X0,X0)) * fun(X0,$o) ) > X0 ) ).

tff(func_def_4014,type,
    sK2685: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,$o)) * set(product_prod(X0,X0)) ) > X0 ) ).

tff(func_def_4015,type,
    sK2686: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,$o)) * set(product_prod(X0,X0)) ) > X0 ) ).

tff(func_def_4016,type,
    sK2687: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,$o)) * set(product_prod(X0,X0)) ) > X0 ) ).

tff(func_def_4017,type,
    sK2688: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * fun(X0,fun(X0,$o)) ) > X0 ) ).

tff(func_def_4018,type,
    sK2689: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * fun(X0,fun(X0,$o)) ) > X0 ) ).

tff(func_def_4019,type,
    sK2690: 
      !>[X0: $tType] : ( set(product_prod(X0,X0)) > X0 ) ).

tff(func_def_4020,type,
    sK2691: 
      !>[X0: $tType] : ( ( X0 * X0 * set(product_prod(X0,X0)) ) > X0 ) ).

tff(func_def_4021,type,
    sK2692: 
      !>[X0: $tType] : ( ( X0 * set(product_prod(X0,X0)) * fun(X0,$o) ) > X0 ) ).

tff(func_def_4022,type,
    sK2693: 
      !>[X0: $tType] : ( ( X0 * set(product_prod(X0,X0)) * fun(X0,$o) ) > X0 ) ).

tff(func_def_4023,type,
    sK2694: 
      !>[X0: $tType] : ( ( X0 * set(product_prod(X0,X0)) * fun(X0,$o) ) > X0 ) ).

tff(func_def_4024,type,
    sK2695: 
      !>[X0: $tType] : ( ( X0 * X0 * set(product_prod(X0,X0)) ) > X0 ) ).

tff(func_def_4025,type,
    sK2696: 
      !>[X0: $tType] : ( ( X0 * X0 * set(product_prod(X0,X0)) ) > X0 ) ).

tff(func_def_4026,type,
    sK2697: 
      !>[X0: $tType] : ( ( X0 * X0 * set(product_prod(X0,X0)) ) > X0 ) ).

tff(func_def_4027,type,
    sK2698: 
      !>[X0: $tType] : ( ( X0 * X0 * set(product_prod(X0,X0)) ) > X0 ) ).

tff(func_def_4028,type,
    sK2699: 
      !>[X0: $tType] : ( ( X0 * X0 * set(product_prod(X0,X0)) ) > X0 ) ).

tff(func_def_4029,type,
    sK2700: 
      !>[X0: $tType] : ( ( X0 * X0 * set(product_prod(X0,X0)) ) > X0 ) ).

tff(func_def_4030,type,
    sK2701: 
      !>[X0: $tType] : ( ( X0 * X0 * set(product_prod(X0,X0)) ) > X0 ) ).

tff(func_def_4031,type,
    sK2702: 
      !>[X0: $tType,X1: $tType] : ( set(product_prod(X1,X0)) > X1 ) ).

tff(func_def_4032,type,
    sK2703: 
      !>[X0: $tType,X1: $tType] : ( set(product_prod(X1,X0)) > X0 ) ).

tff(func_def_4033,type,
    sK2704: 
      !>[X0: $tType,X1: $tType] : ( set(product_prod(X1,X0)) > X0 ) ).

tff(func_def_4034,type,
    sK2705: 
      !>[X0: $tType,X1: $tType] : ( set(product_prod(X0,X1)) > X0 ) ).

tff(func_def_4035,type,
    sK2706: 
      !>[X0: $tType,X1: $tType] : ( set(product_prod(X0,X1)) > X1 ) ).

tff(func_def_4036,type,
    sK2707: 
      !>[X0: $tType,X1: $tType] : ( set(product_prod(X0,X1)) > X1 ) ).

tff(func_def_4037,type,
    sK2708: 
      !>[X0: $tType,X1: $tType] : ( ( X1 * set(product_prod(X1,X0)) ) > X0 ) ).

tff(func_def_4038,type,
    sK2709: 
      !>[X0: $tType,X1: $tType] : ( ( X1 * set(product_prod(X1,X0)) ) > X0 ) ).

tff(func_def_4039,type,
    sK2710: 
      !>[X0: $tType,X1: $tType] : ( ( X1 * set(product_prod(X1,X0)) ) > X1 ) ).

tff(func_def_4040,type,
    sK2711: 
      !>[X0: $tType,X1: $tType] : ( ( X1 * set(product_prod(X1,X0)) ) > X0 ) ).

tff(func_def_4041,type,
    sK2712: 
      !>[X0: $tType,X1: $tType] : ( ( X1 * set(product_prod(X1,X0)) ) > X0 ) ).

tff(func_def_4042,type,
    sK2713: 
      !>[X0: $tType] : ( set(set(product_prod(X0,X0))) > set(product_prod(X0,X0)) ) ).

tff(func_def_4043,type,
    sK2714: 
      !>[X0: $tType] : ( set(set(product_prod(X0,X0))) > set(product_prod(X0,X0)) ) ).

tff(func_def_4044,type,
    sK2715: 
      !>[X0: $tType] : ( set(set(product_prod(X0,X0))) > set(product_prod(X0,X0)) ) ).

tff(func_def_4045,type,
    sK2716: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,set(product_prod(X0,X0))) ) > X1 ) ).

tff(func_def_4046,type,
    sK2717: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,set(product_prod(X0,X0))) ) > X1 ) ).

tff(func_def_4047,type,
    sK2718: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,set(product_prod(X0,X0))) ) > X1 ) ).

tff(func_def_4048,type,
    sK2719: 
      !>[X0: $tType,X1: $tType] : ( ( X0 * set(product_prod(X1,X0)) ) > X1 ) ).

tff(func_def_4049,type,
    sK2720: 
      !>[X0: $tType,X1: $tType] : ( ( X0 * set(product_prod(X1,X0)) ) > X1 ) ).

tff(func_def_4050,type,
    sK2721: 
      !>[X0: $tType,X1: $tType] : ( ( X0 * set(product_prod(X1,X0)) ) > X0 ) ).

tff(func_def_4051,type,
    sK2722: 
      !>[X0: $tType,X1: $tType] : ( ( X0 * set(product_prod(X1,X0)) ) > X1 ) ).

tff(func_def_4052,type,
    sK2723: 
      !>[X0: $tType,X1: $tType] : ( ( X0 * set(product_prod(X1,X0)) ) > X1 ) ).

tff(func_def_4053,type,
    sK2724: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * set(X0) * X0 ) > X0 ) ).

tff(func_def_4054,type,
    sK2725: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,X1) * X1 ) > X0 ) ).

tff(func_def_4055,type,
    sK2726: 
      !>[X0: $tType] : ( ( X0 * X0 ) > X0 ) ).

tff(func_def_4056,type,
    sK2727: 
      !>[X0: $tType] : ( ( X0 * X0 ) > X0 ) ).

tff(func_def_4057,type,
    sK2728: fun(nat,rat) > rat ).

tff(func_def_4058,type,
    sK2729: ( fun(nat,rat) * nat ) > nat ).

tff(func_def_4059,type,
    sK2730: ( fun(nat,rat) * rat ) > nat ).

tff(func_def_4060,type,
    sK2731: fun(nat,rat) > rat ).

tff(func_def_4061,type,
    sK2732: ( fun(nat,rat) * nat ) > nat ).

tff(func_def_4062,type,
    sK2733: ( fun(nat,rat) * rat ) > nat ).

tff(func_def_4063,type,
    sK2734: 
      !>[X0: $tType] : ( ( fun(X0,$o) * list(X0) ) > X0 ) ).

tff(func_def_4064,type,
    sK2735: 
      !>[X0: $tType] : ( ( fun(X0,$o) * list(X0) * X0 * list(X0) ) > list(X0) ) ).

tff(func_def_4065,type,
    sK2736: 
      !>[X0: $tType] : ( ( fun(X0,$o) * list(X0) * X0 * list(X0) ) > list(X0) ) ).

tff(func_def_4066,type,
    sK2737: 
      !>[X0: $tType] : ( ( fun(X0,$o) * list(X0) ) > X0 ) ).

tff(func_def_4067,type,
    sK2738: 
      !>[X0: $tType] : ( ( X0 * list(X0) * fun(X0,$o) * list(X0) ) > list(X0) ) ).

tff(func_def_4068,type,
    sK2739: 
      !>[X0: $tType] : ( ( X0 * list(X0) * fun(X0,$o) * list(X0) ) > list(X0) ) ).

tff(func_def_4069,type,
    sK2740: 
      !>[X0: $tType] : ( ( fun(X0,$o) * list(X0) * X0 * list(X0) ) > list(X0) ) ).

tff(func_def_4070,type,
    sK2741: 
      !>[X0: $tType] : ( ( fun(X0,$o) * list(X0) * X0 * list(X0) ) > list(X0) ) ).

tff(func_def_4071,type,
    sK2742: 
      !>[X0: $tType] : ( ( X0 * list(X0) * fun(X0,$o) * list(X0) ) > list(X0) ) ).

tff(func_def_4072,type,
    sK2743: 
      !>[X0: $tType] : ( ( X0 * list(X0) * fun(X0,$o) * list(X0) ) > list(X0) ) ).

tff(func_def_4073,type,
    sK2744: 
      !>[X0: $tType] : ( ( list(X0) * fun(X0,$o) * fun(X0,$o) ) > X0 ) ).

tff(func_def_4074,type,
    sK2745: 
      !>[X0: $tType] : ( ( fun(X0,$o) * list(X0) ) > X0 ) ).

tff(func_def_4075,type,
    sK2746: 
      !>[X0: $tType] : ( ( fun(X0,$o) * list(X0) ) > X0 ) ).

tff(func_def_4076,type,
    sK2747: 
      !>[X0: $tType] : ( ( fun(X0,$o) * list(X0) ) > X0 ) ).

tff(func_def_4077,type,
    sK2748: 
      !>[X0: $tType] : ( ( list(X0) * fun(X0,$o) ) > X0 ) ).

tff(func_def_4078,type,
    sK2749: 
      !>[X0: $tType] : ( ( list(X0) * fun(X0,$o) ) > X0 ) ).

tff(func_def_4079,type,
    sK2750: ( fun(real,real) * real ) > real ).

tff(func_def_4080,type,
    sK2751: 
      !>[X0: $tType] : ( fun(nat,X0) > nat ) ).

tff(func_def_4081,type,
    sK2752: 
      !>[X0: $tType] : ( ( fun(nat,X0) * X0 ) > real ) ).

tff(func_def_4082,type,
    sK2753: 
      !>[X0: $tType] : ( ( fun(nat,X0) * X0 * nat ) > nat ) ).

tff(func_def_4083,type,
    sK2754: 
      !>[X0: $tType] : ( ( fun(nat,X0) * X0 * real ) > nat ) ).

tff(func_def_4084,type,
    sK2755: 
      !>[X0: $tType] : ( ( fun(nat,X0) * X0 ) > real ) ).

tff(func_def_4085,type,
    sK2756: 
      !>[X0: $tType] : ( ( fun(nat,X0) * X0 * nat ) > nat ) ).

tff(func_def_4086,type,
    sK2757: 
      !>[X0: $tType] : ( ( fun(nat,X0) * X0 * real ) > nat ) ).

tff(func_def_4087,type,
    sK2758: 
      !>[X0: $tType,X1: $tType] : ( fun(X0,X1) > real ) ).

tff(func_def_4088,type,
    sK2759: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * nat ) > X0 ) ).

tff(func_def_4089,type,
    sK2760: 
      !>[X0: $tType,X1: $tType] : ( fun(X0,X1) > nat ) ).

tff(func_def_4090,type,
    sK2761: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * real ) > X0 ) ).

tff(func_def_4091,type,
    sK2762: 
      !>[X0: $tType,X1: $tType] : ( fun(X0,X1) > real ) ).

tff(func_def_4092,type,
    sK2763: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * nat ) > X0 ) ).

tff(func_def_4093,type,
    sK2764: 
      !>[X0: $tType,X1: $tType] : ( fun(X0,X1) > nat ) ).

tff(func_def_4094,type,
    sK2765: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * real ) > X0 ) ).

tff(func_def_4095,type,
    sK2766: int > nat ).

tff(func_def_4096,type,
    sK2767: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,$o) * fun(X1,X0) * X0 ) > X1 ) ).

tff(func_def_4097,type,
    sK2768: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,$o) * fun(X1,X0) ) > X0 ) ).

tff(func_def_4098,type,
    sK2769: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,$o) * fun(X1,X0) * X0 ) > X1 ) ).

tff(func_def_4099,type,
    sK2770: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,$o) * fun(X1,X0) ) > X0 ) ).

tff(func_def_4100,type,
    sK2771: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * fun(X1,$o) ) > X1 ) ).

tff(func_def_4101,type,
    sK2772: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * fun(X1,$o) ) > X1 ) ).

tff(func_def_4102,type,
    sK2773: 
      !>[X0: $tType] : ( ( fun(X0,$o) * X0 ) > X0 ) ).

tff(func_def_4103,type,
    sK2774: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,$o) * fun(X0,$o) * fun(X0,X1) ) > X0 ) ).

tff(func_def_4104,type,
    sK2775: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * fun(X0,$o) * fun(X0,X1) ) > X0 ) ).

tff(func_def_4105,type,
    sK2776: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * filter(X1) * X0 ) > X0 ) ).

tff(func_def_4106,type,
    sK2777: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * filter(X1) ) > X0 ) ).

tff(func_def_4107,type,
    sK2778: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * filter(X1) ) > X0 ) ).

tff(func_def_4108,type,
    sK2779: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * filter(X1) * X0 ) > X0 ) ).

tff(func_def_4109,type,
    sK2780: 
      !>[X0: $tType] : ( ( fun(X0,$o) * X0 ) > X0 ) ).

tff(func_def_4110,type,
    sK2781: 
      !>[X0: $tType] : ( fun(X0,$o) > X0 ) ).

tff(func_def_4111,type,
    sK2782: 
      !>[X0: $tType] : ( ( fun(X0,$o) * X0 ) > X0 ) ).

tff(func_def_4112,type,
    sK2783: 
      !>[X0: $tType] : ( fun(X0,$o) > X0 ) ).

tff(func_def_4113,type,
    sK2784: ( fun(nat,real) * nat ) > nat ).

tff(func_def_4114,type,
    sK2785: real > int ).

tff(func_def_4115,type,
    sK2786: real > int ).

tff(func_def_4116,type,
    sK2787: real > nat ).

tff(func_def_4117,type,
    sK2788: real > nat ).

tff(func_def_4118,type,
    sK2789: real ).

tff(func_def_4119,type,
    sK2790: real > nat ).

tff(func_def_4120,type,
    sK2791: real > nat ).

tff(func_def_4121,type,
    sK2792: real > nat ).

tff(func_def_4122,type,
    sK2793: real > real ).

tff(func_def_4123,type,
    sK2794: real > real ).

tff(func_def_4124,type,
    sK2795: real > real ).

tff(func_def_4125,type,
    sK2796: real > real ).

tff(func_def_4126,type,
    sK2797: real > real ).

tff(func_def_4127,type,
    sK2798: real > nat ).

tff(func_def_4128,type,
    sK2799: real > nat ).

tff(func_def_4129,type,
    sK2800: real > nat ).

tff(func_def_4130,type,
    sK2801: ( real * real ) > real ).

tff(func_def_4131,type,
    sK2802: ( real * real ) > real ).

tff(func_def_4132,type,
    sK2803: ( real * real ) > real ).

tff(func_def_4133,type,
    sK2804: ( real * real ) > real ).

tff(func_def_4134,type,
    sK2805: real > int ).

tff(func_def_4135,type,
    sK2806: real > real ).

tff(func_def_4136,type,
    sK2807: 
      !>[X0: $tType] : ( ( fun(int,$o) * X0 ) > int ) ).

tff(func_def_4137,type,
    sK2808: 
      !>[X0: $tType] : ( X0 > nat ) ).

tff(func_def_4138,type,
    sK2809: 
      !>[X0: $tType] : ( ( fun(int,$o) * X0 ) > int ) ).

tff(func_def_4139,type,
    sK2810: complex > real ).

tff(func_def_4140,type,
    sK2811: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * X0 * X0 ) > product_prod(X0,X0) ) ).

tff(func_def_4141,type,
    sK2812: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,fun(X0,fun(X0,$o))) ) > X1 ) ).

tff(func_def_4142,type,
    sK2813: 
      !>[X0: $tType] : ( fun(X0,fun(X0,$o)) > X0 ) ).

tff(func_def_4143,type,
    sK2814: 
      !>[X0: $tType] : ( fun(X0,fun(X0,$o)) > X0 ) ).

tff(func_def_4144,type,
    sK2815: 
      !>[X0: $tType] : ( fun(X0,fun(X0,$o)) > X0 ) ).

tff(func_def_4145,type,
    sK2816: 
      !>[X0: $tType] : ( fun(X0,fun(X0,$o)) > X0 ) ).

tff(func_def_4146,type,
    sK2817: 
      !>[X0: $tType] : ( fun(X0,fun(X0,$o)) > X0 ) ).

tff(func_def_4147,type,
    sK2818: 
      !>[X0: $tType] : ( fun(X0,fun(X0,$o)) > X0 ) ).

tff(func_def_4148,type,
    sK2819: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,$o)) * list(X0) ) > nat ) ).

tff(func_def_4149,type,
    sK2820: 
      !>[X0: $tType] : ( fun(X0,fun(X0,$o)) > X0 ) ).

tff(func_def_4150,type,
    sK2821: 
      !>[X0: $tType] : ( fun(X0,fun(X0,$o)) > X0 ) ).

tff(func_def_4151,type,
    sK2822: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * list(X0) * list(X0) ) > X0 ) ).

tff(func_def_4152,type,
    sK2823: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * list(X0) * list(X0) ) > list(X0) ) ).

tff(func_def_4153,type,
    sK2824: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * list(X0) * list(X0) ) > list(X0) ) ).

tff(func_def_4154,type,
    sK2825: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * list(X0) * list(X0) ) > X0 ) ).

tff(func_def_4155,type,
    sK2826: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * list(X0) * list(X0) ) > X0 ) ).

tff(func_def_4156,type,
    sK2827: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * list(X0) * list(X0) ) > list(X0) ) ).

tff(func_def_4157,type,
    sK2828: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * list(X0) * list(X0) ) > list(X0) ) ).

tff(func_def_4158,type,
    sK2829: 
      !>[X0: $tType,X1: $tType] : ( ( X1 * X1 * fun(X1,X0) * fun(X1,X0) ) > X1 ) ).

tff(func_def_4159,type,
    sK2830: 
      !>[X0: $tType,X1: $tType] : ( ( X1 * X1 * fun(X1,X0) * fun(X1,X0) ) > X1 ) ).

tff(func_def_4160,type,
    sK2831: 
      !>[X0: $tType,X1: $tType] : ( fun(X0,X1) > X0 ) ).

tff(func_def_4161,type,
    sK2832: 
      !>[X0: $tType,X1: $tType] : ( fun(X0,X1) > X0 ) ).

tff(func_def_4162,type,
    sK2833: 
      !>[X0: $tType,X1: $tType] : ( fun(X1,X0) > X1 ) ).

tff(func_def_4163,type,
    sK2834: 
      !>[X0: $tType,X1: $tType] : ( fun(X1,X0) > X1 ) ).

tff(func_def_4164,type,
    sK2835: 
      !>[X0: $tType,X1: $tType] : ( fun(X0,X1) > X0 ) ).

tff(func_def_4165,type,
    sK2836: 
      !>[X0: $tType,X1: $tType] : ( fun(X0,X1) > X0 ) ).

tff(func_def_4166,type,
    sK2837: 
      !>[X0: $tType,X1: $tType] : ( fun(X1,X0) > X1 ) ).

tff(func_def_4167,type,
    sK2838: 
      !>[X0: $tType,X1: $tType] : ( fun(X1,X0) > X1 ) ).

tff(func_def_4168,type,
    sK2839: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * fun(X1,X0) ) > X1 ) ).

tff(func_def_4169,type,
    sK2840: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * fun(X1,X0) ) > X1 ) ).

tff(func_def_4170,type,
    sK2841: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,X1) * X1 ) > X0 ) ).

tff(func_def_4171,type,
    sK2842: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,X0) * fun(X1,X0) ) > X1 ) ).

tff(func_def_4172,type,
    sK2843: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,X0) * fun(X1,X0) ) > X1 ) ).

tff(func_def_4173,type,
    sK2844: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_4174,type,
    sK2845: 
      !>[X0: $tType] : ( ( nat * fun(nat,X0) * X0 ) > nat ) ).

tff(func_def_4175,type,
    sK2846: 
      !>[X0: $tType] : ( set(product_prod(X0,X0)) > set(X0) ) ).

tff(func_def_4176,type,
    sK2847: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * X0 ) > X0 ) ).

tff(func_def_4177,type,
    sK2848: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * set(X0) ) > X0 ) ).

tff(func_def_4178,type,
    sK2849: 
      !>[X0: $tType] : ( set(product_prod(X0,X0)) > set(X0) ) ).

tff(func_def_4179,type,
    sK2850: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * X0 ) > X0 ) ).

tff(func_def_4180,type,
    sK2851: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * set(X0) ) > X0 ) ).

tff(func_def_4181,type,
    sK2852: 
      !>[X0: $tType] : ( ( set(X0) * set(X0) * set(product_prod(X0,X0)) ) > X0 ) ).

tff(func_def_4182,type,
    sK2853: 
      !>[X0: $tType] : ( ( set(X0) * set(X0) * set(product_prod(X0,X0)) ) > X0 ) ).

tff(func_def_4183,type,
    sK2854: 
      !>[X0: $tType] : ( ( set(X0) * set(product_prod(X0,X0)) * X0 ) > X0 ) ).

tff(func_def_4184,type,
    sK2855: 
      !>[X0: $tType] : ( ( set(X0) * set(product_prod(X0,X0)) * X0 ) > X0 ) ).

tff(func_def_4185,type,
    sK2856: 
      !>[X0: $tType] : ( ( set(X0) * set(X0) * fun(X0,fun(X0,$o)) ) > X0 ) ).

tff(func_def_4186,type,
    sK2857: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,$o)) * set(X0) * set(X0) ) > X0 ) ).

tff(func_def_4187,type,
    sK2858: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,$o)) * set(X0) * X0 ) > X0 ) ).

tff(func_def_4188,type,
    sK2859: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,$o)) * set(X0) * X0 ) > X0 ) ).

tff(func_def_4189,type,
    sK2860: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * set(X0) ) > X0 ) ).

tff(func_def_4190,type,
    sK2861: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * set(X0) ) > X0 ) ).

tff(func_def_4191,type,
    sK2862: 
      !>[X0: $tType,X1: $tType] : ( ( list(X1) * list(X0) * set(product_prod(X1,X0)) ) > product_prod(X1,X0) ) ).

tff(func_def_4192,type,
    sK2863: 
      !>[X0: $tType,X1: $tType] : ( fun(X0,fun(X1,$o)) > X0 ) ).

tff(func_def_4193,type,
    sK2864: 
      !>[X0: $tType,X1: $tType] : ( fun(X0,fun(X1,$o)) > X1 ) ).

tff(func_def_4194,type,
    sK2865: 
      !>[X0: $tType,X1: $tType] : ( fun(X0,fun(X1,$o)) > X1 ) ).

tff(func_def_4195,type,
    sK2866: 
      !>[X0: $tType,X1: $tType] : ( fun(X1,fun(X0,$o)) > X1 ) ).

tff(func_def_4196,type,
    sK2867: 
      !>[X0: $tType,X1: $tType] : ( fun(X1,fun(X0,$o)) > X0 ) ).

tff(func_def_4197,type,
    sK2868: 
      !>[X0: $tType,X1: $tType] : ( fun(X1,fun(X0,$o)) > X0 ) ).

tff(func_def_4198,type,
    sK2869: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,X0) * fun(X1,X0) ) > X1 ) ).

tff(func_def_4199,type,
    sK2870: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,X1) * X1 ) > X0 ) ).

tff(func_def_4200,type,
    sK2871: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( set(X0) * fun(X2,X1) * set(X2) * fun(X0,X1) ) > X0 ) ).

tff(func_def_4201,type,
    sK2872: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_4202,type,
    sK2873: 
      !>[X0: $tType] : ( ( set(X0) * set(X0) ) > X0 ) ).

tff(func_def_4203,type,
    sK2874: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,X0) * X0 ) > X1 ) ).

tff(func_def_4204,type,
    sK2875: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_4205,type,
    sK2876: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_4206,type,
    sK2877: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_4207,type,
    sK2878: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_4208,type,
    sK2879: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_4209,type,
    sK2880: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,X0) * X0 ) > X1 ) ).

tff(func_def_4210,type,
    sK2881: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( set(X2) * fun(X0,X1) * set(X0) * fun(X2,X1) ) > X2 ) ).

tff(func_def_4211,type,
    sK2882: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_4212,type,
    sK2883: 
      !>[X0: $tType] : ( ( set(X0) * set(X0) ) > X0 ) ).

tff(func_def_4213,type,
    sK2884: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * X0 * fun(X1,X0) ) > X1 ) ).

tff(func_def_4214,type,
    sK2885: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * X0 * fun(X1,X0) ) > X1 ) ).

tff(func_def_4215,type,
    sK2886: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_4216,type,
    sK2887: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_4217,type,
    sK2888: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_4218,type,
    sK2889: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_4219,type,
    sK2890: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_4220,type,
    sK2891: 
      !>[X0: $tType,X1: $tType] : ( ( X1 * set(X1) * fun(X1,X0) * fun(X1,X0) * fun(X1,X0) ) > X1 ) ).

tff(func_def_4221,type,
    sK2892: 
      !>[X0: $tType,X1: $tType] : ( ( X1 * set(X1) * fun(X1,X0) * fun(X1,X0) ) > fun(X1,X0) ) ).

tff(func_def_4222,type,
    sK2893: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * fun(X1,X0) * X1 * fun(X1,X0) ) > X1 ) ).

tff(func_def_4223,type,
    sK2894: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * fun(X1,X0) * X1 ) > fun(X1,X0) ) ).

tff(func_def_4224,type,
    sK2895: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( set(X1) * fun(X1,fun(X2,X0)) * fun(X1,fun(X2,X0)) * X2 * set(X2) ) > X1 ) ).

tff(func_def_4225,type,
    sK2896: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,X1) * fun(X0,fun(X0,X1)) ) > X0 ) ).

tff(func_def_4226,type,
    sK2897: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_4227,type,
    sK2898: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_4228,type,
    sK2899: 
      !>[X0: $tType] : ( X0 > X0 ) ).

tff(func_def_4229,type,
    sK2900: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_4230,type,
    sK2901: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_4231,type,
    sK2902: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_4232,type,
    sK2903: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_4233,type,
    sK2904: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_4234,type,
    sK2905: 
      !>[X0: $tType] : ( ( X0 * X0 ) > X0 ) ).

tff(func_def_4235,type,
    sK2906: 
      !>[X0: $tType] : ( ( X0 * X0 ) > X0 ) ).

tff(func_def_4236,type,
    sK2907: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * filter(X1) * X0 ) > X0 ) ).

tff(func_def_4237,type,
    sK2908: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * filter(X1) ) > X0 ) ).

tff(func_def_4238,type,
    sK2909: 
      !>[X0: $tType] : ( X0 > X0 ) ).

tff(func_def_4239,type,
    sK2910: 
      !>[X0: $tType] : ( ( X0 * X0 ) > X0 ) ).

tff(func_def_4240,type,
    sK2911: 
      !>[X0: $tType] : ( ( X0 * X0 ) > X0 ) ).

tff(func_def_4241,type,
    sK2912: 
      !>[X0: $tType] : ( ( X0 * X0 * X0 ) > X0 ) ).

tff(func_def_4242,type,
    sK2913: 
      !>[X0: $tType] : ( ( X0 * X0 * X0 ) > X0 ) ).

tff(func_def_4243,type,
    sK2914: 
      !>[X0: $tType] : ( ( fun(X0,$o) * X0 ) > X0 ) ).

tff(func_def_4244,type,
    sK2915: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_4245,type,
    sK2916: 
      !>[X0: $tType] : ( ( fun(X0,$o) * X0 ) > X0 ) ).

tff(func_def_4246,type,
    sK2917: 
      !>[X0: $tType] : ( ( fun(X0,$o) * X0 ) > X0 ) ).

tff(func_def_4247,type,
    sK2918: 
      !>[X0: $tType] : ( ( fun(X0,$o) * X0 ) > X0 ) ).

tff(func_def_4248,type,
    sK2919: 
      !>[X0: $tType] : ( ( fun(X0,$o) * X0 ) > X0 ) ).

tff(func_def_4249,type,
    sK2920: 
      !>[X0: $tType] : ( ( fun(X0,$o) * fun(X0,$o) ) > X0 ) ).

tff(func_def_4250,type,
    sK2921: 
      !>[X0: $tType] : ( ( fun(X0,$o) * X0 ) > X0 ) ).

tff(func_def_4251,type,
    sK2922: 
      !>[X0: $tType] : ( ( fun(X0,$o) * X0 ) > X0 ) ).

tff(func_def_4252,type,
    sK2923: 
      !>[X0: $tType] : ( ( fun(X0,$o) * fun(X0,$o) ) > X0 ) ).

tff(func_def_4253,type,
    sK2924: 
      !>[X0: $tType] : ( ( fun(X0,$o) * fun(X0,$o) ) > X0 ) ).

tff(func_def_4254,type,
    sK2925: 
      !>[X0: $tType] : ( ( fun(X0,$o) * fun(X0,$o) ) > X0 ) ).

tff(func_def_4255,type,
    sK2926: 
      !>[X0: $tType] : ( ( fun(X0,$o) * fun(X0,$o) ) > X0 ) ).

tff(func_def_4256,type,
    sK2927: ( fun(nat,$o) * fun(nat,$o) ) > nat ).

tff(func_def_4257,type,
    sK2928: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,$o)) * fun(X0,$o) * X0 ) > X0 ) ).

tff(func_def_4258,type,
    sK2929: 
      !>[X0: $tType] : ( ( fun(X0,$o) * X0 ) > X0 ) ).

tff(func_def_4259,type,
    sK2930: 
      !>[X0: $tType] : ( ( fun(X0,$o) * X0 ) > X0 ) ).

tff(func_def_4260,type,
    sK2931: 
      !>[X0: $tType] : ( ( fun(X0,$o) * fun(X0,$o) ) > X0 ) ).

tff(func_def_4261,type,
    sK2932: 
      !>[X0: $tType] : ( ( fun(X0,$o) * X0 ) > X0 ) ).

tff(func_def_4262,type,
    sK2933: ( fun(nat,$o) * nat ) > nat ).

tff(func_def_4263,type,
    sK2934: ( fun(nat,$o) * nat ) > nat ).

tff(func_def_4264,type,
    sK2935: ( fun(nat,$o) * nat ) > nat ).

tff(func_def_4265,type,
    sK2936: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,X0) * X1 ) > X1 ) ).

tff(func_def_4266,type,
    sK2937: 
      !>[X0: $tType] : ( fun(nat,X0) > real ) ).

tff(func_def_4267,type,
    sK2938: 
      !>[X0: $tType] : ( ( fun(nat,X0) * nat ) > nat ) ).

tff(func_def_4268,type,
    sK2939: 
      !>[X0: $tType] : ( ( fun(nat,X0) * nat ) > nat ) ).

tff(func_def_4269,type,
    sK2940: 
      !>[X0: $tType] : ( ( fun(nat,X0) * real ) > nat ) ).

tff(func_def_4270,type,
    sK2941: 
      !>[X0: $tType] : ( ( real * nat * fun(nat,X0) ) > nat ) ).

tff(func_def_4271,type,
    sK2942: 
      !>[X0: $tType] : ( ( fun(nat,X0) * real ) > nat ) ).

tff(func_def_4272,type,
    sK2943: 
      !>[X0: $tType] : ( ( fun(nat,real) * nat * fun(nat,X0) ) > nat ) ).

tff(func_def_4273,type,
    sK2944: 
      !>[X0: $tType] : ( ( fun(nat,X0) * fun(nat,real) * nat ) > nat ) ).

tff(func_def_4274,type,
    sK2945: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,fun(X1,$o)) * X1 * X0 ) > X0 ) ).

tff(func_def_4275,type,
    sK2946: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,fun(X1,$o)) * X1 * X0 ) > X1 ) ).

tff(func_def_4276,type,
    sK2947: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( set(X0) * set(product_prod(X1,X1)) * fun(X0,set(X2)) ) > X0 ) ).

tff(func_def_4277,type,
    sK2948: 
      !>[X0: $tType] : ( ( set(X0) * set(product_prod(X0,X0)) ) > X0 ) ).

tff(func_def_4278,type,
    sK2949: 
      !>[X0: $tType] : ( ( X0 * set(product_prod(X0,X0)) ) > X0 ) ).

tff(func_def_4279,type,
    sK2950: 
      !>[X0: $tType] : ( ( X0 * set(product_prod(X0,X0)) * X0 ) > X0 ) ).

tff(func_def_4280,type,
    sK2951: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * set(X0) * set(X0) ) > X0 ) ).

tff(func_def_4281,type,
    sK2952: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * set(X0) * X0 ) > X0 ) ).

tff(func_def_4282,type,
    sK2953: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * set(product_prod(X0,X0)) ) > X0 ) ).

tff(func_def_4283,type,
    sK2954: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * set(product_prod(X0,X0)) ) > X0 ) ).

tff(func_def_4284,type,
    sK2955: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * set(product_prod(X0,X0)) ) > X0 ) ).

tff(func_def_4285,type,
    sK2956: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,fun(X1,$o)) * X1 ) > X0 ) ).

tff(func_def_4286,type,
    sK2957: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,fun(X1,$o)) * X1 ) > X0 ) ).

tff(func_def_4287,type,
    sK2958: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,fun(X1,$o)) * X1 ) > X1 ) ).

tff(func_def_4288,type,
    sK2959: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,fun(X1,$o)) * X1 ) > X0 ) ).

tff(func_def_4289,type,
    sK2960: 
      !>[X0: $tType,X1: $tType] : ( ( list(X1) * list(X0) * set(product_prod(X1,X0)) ) > nat ) ).

tff(func_def_4290,type,
    sK2961: 
      !>[X0: $tType,X1: $tType] : ( ( list(X0) * list(X1) * set(product_prod(X0,X1)) ) > X0 ) ).

tff(func_def_4291,type,
    sK2962: 
      !>[X0: $tType,X1: $tType] : ( ( list(X0) * list(X1) * set(product_prod(X0,X1)) ) > X1 ) ).

tff(func_def_4292,type,
    sK2963: 
      !>[X0: $tType,X1: $tType] : ( ( list(X0) * list(X1) * set(product_prod(X0,X1)) ) > list(X0) ) ).

tff(func_def_4293,type,
    sK2964: 
      !>[X0: $tType,X1: $tType] : ( ( list(X0) * list(X1) * set(product_prod(X0,X1)) ) > list(X1) ) ).

tff(func_def_4294,type,
    sK2965: 
      !>[X0: $tType,X1: $tType] : ( ( list(X1) * list(X0) * set(product_prod(X1,X0)) ) > X1 ) ).

tff(func_def_4295,type,
    sK2966: 
      !>[X0: $tType,X1: $tType] : ( ( list(X1) * list(X0) * set(product_prod(X1,X0)) ) > X0 ) ).

tff(func_def_4296,type,
    sK2967: 
      !>[X0: $tType,X1: $tType] : ( ( list(X1) * list(X0) * set(product_prod(X1,X0)) ) > list(X1) ) ).

tff(func_def_4297,type,
    sK2968: 
      !>[X0: $tType,X1: $tType] : ( ( list(X1) * list(X0) * set(product_prod(X1,X0)) ) > list(X0) ) ).

tff(func_def_4298,type,
    sK2969: 
      !>[X0: $tType,X1: $tType] : ( ( X1 * list(X1) * list(X0) * set(product_prod(X1,X0)) ) > X0 ) ).

tff(func_def_4299,type,
    sK2970: 
      !>[X0: $tType,X1: $tType] : ( ( X1 * list(X1) * list(X0) * set(product_prod(X1,X0)) ) > list(X0) ) ).

tff(func_def_4300,type,
    sK2971: 
      !>[X0: $tType,X1: $tType] : ( ( list(X1) * X0 * list(X0) * set(product_prod(X1,X0)) ) > X1 ) ).

tff(func_def_4301,type,
    sK2972: 
      !>[X0: $tType,X1: $tType] : ( ( list(X1) * X0 * list(X0) * set(product_prod(X1,X0)) ) > list(X1) ) ).

tff(func_def_4302,type,
    sK2973: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,X0) * fun(X1,X0) ) > X1 ) ).

tff(func_def_4303,type,
    sK2974: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,X0) * fun(X1,X0) ) > X1 ) ).

tff(func_def_4304,type,
    sK2975: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( set(X0) * set(X2) * fun(X0,X1) * fun(X2,X1) ) > X2 ) ).

tff(func_def_4305,type,
    sK2976: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * X0 * fun(X1,X0) ) > X1 ) ).

tff(func_def_4306,type,
    sK2977: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * X0 * fun(X1,X0) ) > X1 ) ).

tff(func_def_4307,type,
    sK2978: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,X1) * X1 ) > X0 ) ).

tff(func_def_4308,type,
    sK2979: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,X1) * X1 ) > X0 ) ).

tff(func_def_4309,type,
    sK2980: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( set(X0) * set(X2) * fun(X0,X1) * fun(X2,X1) ) > X0 ) ).

tff(func_def_4310,type,
    sK2981: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_4311,type,
    sK2982: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_4312,type,
    sK2983: 
      !>[X0: $tType] : ( ( set(X0) * set(X0) ) > X0 ) ).

tff(func_def_4313,type,
    sK2984: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_4314,type,
    sK2985: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_4315,type,
    sK2986: 
      !>[X0: $tType] : ( ( set(X0) * set(X0) ) > X0 ) ).

tff(func_def_4316,type,
    sK2987: 
      !>[X0: $tType] : ( ( X0 * list(X0) ) > X0 ) ).

tff(func_def_4317,type,
    sK2988: 
      !>[X0: $tType] : ( ( list(X0) * X0 ) > X0 ) ).

tff(func_def_4318,type,
    sK2989: 
      !>[X0: $tType] : ( fun(X0,$o) > nat ) ).

tff(func_def_4319,type,
    sK2990: 
      !>[X0: $tType] : ( X0 > nat ) ).

tff(func_def_4320,type,
    sK2991: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( fun(X2,fun(X1,X0)) * real ) > X2 ) ).

tff(func_def_4321,type,
    sK2992: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( fun(X2,fun(X1,X0)) * real ) > X1 ) ).

tff(func_def_4322,type,
    sK2993: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( fun(X2,fun(X1,X0)) > X2 ) ).

tff(func_def_4323,type,
    sK2994: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( fun(X2,fun(X1,X0)) > real ) ).

tff(func_def_4324,type,
    sK2995: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( fun(X2,fun(X1,X0)) > X1 ) ).

tff(func_def_4325,type,
    sK2996: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( fun(X2,fun(X1,X0)) > real ) ).

tff(func_def_4326,type,
    sK2997: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( fun(X2,fun(X1,X0)) > X2 ) ).

tff(func_def_4327,type,
    sK2998: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( fun(X2,fun(X1,X0)) > X1 ) ).

tff(func_def_4328,type,
    sK2999: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( fun(X2,fun(X1,X0)) > X2 ) ).

tff(func_def_4329,type,
    sK3000: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( fun(X2,fun(X1,X0)) > X1 ) ).

tff(func_def_4330,type,
    sK3001: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( fun(X2,fun(X1,X0)) > X1 ) ).

tff(func_def_4331,type,
    sK3002: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( fun(X2,fun(X1,X0)) > X2 ) ).

tff(func_def_4332,type,
    sK3003: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( fun(X2,fun(X1,X0)) > X2 ) ).

tff(func_def_4333,type,
    sK3004: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( fun(X2,fun(X1,X0)) > X1 ) ).

tff(func_def_4334,type,
    sK3005: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( fun(X2,fun(X1,X0)) > X2 ) ).

tff(func_def_4335,type,
    sK3006: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( fun(X2,fun(X1,X0)) > X2 ) ).

tff(func_def_4336,type,
    sK3007: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( fun(X2,fun(X1,X0)) > X1 ) ).

tff(func_def_4337,type,
    sK3008: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( fun(X2,fun(X1,X0)) > X2 ) ).

tff(func_def_4338,type,
    sK3009: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( fun(X2,fun(X1,X0)) > X1 ) ).

tff(func_def_4339,type,
    sK3010: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( fun(X2,fun(X1,X0)) > X1 ) ).

tff(func_def_4340,type,
    sK3011: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( fun(X2,fun(X1,X0)) > real ) ).

tff(func_def_4341,type,
    sK3012: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( fun(X2,fun(X1,X0)) > X2 ) ).

tff(func_def_4342,type,
    sK3013: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( fun(X2,fun(X1,X0)) > X1 ) ).

tff(func_def_4343,type,
    sK3014: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( fun(X2,fun(X1,X0)) > X2 ) ).

tff(func_def_4344,type,
    sK3015: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( fun(X2,fun(X1,X0)) > real ) ).

tff(func_def_4345,type,
    sK3016: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( fun(X2,fun(X1,X0)) > X1 ) ).

tff(func_def_4346,type,
    sK3017: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( fun(X2,fun(X1,X0)) * real ) > X2 ) ).

tff(func_def_4347,type,
    sK3018: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( fun(X2,fun(X1,X0)) * real ) > X1 ) ).

tff(func_def_4348,type,
    sK3019: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( fun(X2,fun(X1,X0)) > real ) ).

tff(func_def_4349,type,
    sK3020: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * real ) > X1 ) ).

tff(func_def_4350,type,
    sK3021: 
      !>[X0: $tType,X1: $tType] : ( fun(X1,X0) > real ) ).

tff(func_def_4351,type,
    sK3022: 
      !>[X0: $tType,X1: $tType] : ( fun(X1,X0) > X1 ) ).

tff(func_def_4352,type,
    sK3023: 
      !>[X0: $tType,X1: $tType] : ( fun(X1,X0) > X1 ) ).

tff(func_def_4353,type,
    sK3024: 
      !>[X0: $tType,X1: $tType] : ( fun(X1,X0) > X1 ) ).

tff(func_def_4354,type,
    sK3025: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,X0) * X0 ) > X1 ) ).

tff(func_def_4355,type,
    sK3026: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,X1) * X1 ) > X0 ) ).

tff(func_def_4356,type,
    sK3027: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_4357,type,
    sK3028: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_4358,type,
    sK3029: 
      !>[X0: $tType] : ( ( set(X0) * X0 * X0 ) > X0 ) ).

tff(func_def_4359,type,
    sK3030: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_4360,type,
    sK3031: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_4361,type,
    sK3032: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_4362,type,
    sK3033: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_4363,type,
    sK3034: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_4364,type,
    sK3035: 
      !>[X0: $tType] : ( ( X0 * set(X0) ) > X0 ) ).

tff(func_def_4365,type,
    sK3036: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_4366,type,
    sK3037: 
      !>[X0: $tType] : ( ( X0 * X0 * fun(X0,$o) ) > X0 ) ).

tff(func_def_4367,type,
    sK3038: 
      !>[X0: $tType] : ( ( X0 * fun(X0,$o) * X0 ) > X0 ) ).

tff(func_def_4368,type,
    sK3039: 
      !>[X0: $tType] : ( ( set(X0) * X0 * X0 ) > X0 ) ).

tff(func_def_4369,type,
    sK3040: 
      !>[X0: $tType] : ( ( fun(nat,X0) * X0 ) > nat ) ).

tff(func_def_4370,type,
    sK3041: 
      !>[X0: $tType] : ( fun(nat,X0) > nat ) ).

tff(func_def_4371,type,
    sK3042: 
      !>[X0: $tType] : ( fun(nat,X0) > nat ) ).

tff(func_def_4372,type,
    sK3043: 
      !>[X0: $tType] : ( fun(nat,X0) > nat ) ).

tff(func_def_4373,type,
    sK3044: 
      !>[X0: $tType,X1: $tType] : ( fun(X1,X0) > X1 ) ).

tff(func_def_4374,type,
    sK3045: 
      !>[X0: $tType,X1: $tType] : ( fun(X1,X0) > X1 ) ).

tff(func_def_4375,type,
    sK3046: 
      !>[X0: $tType,X1: $tType] : ( fun(X1,X0) > X1 ) ).

tff(func_def_4376,type,
    sK3047: 
      !>[X0: $tType,X1: $tType] : ( fun(X1,X0) > X1 ) ).

tff(func_def_4377,type,
    sK3048: 
      !>[X0: $tType] : ( fun(nat,X0) > nat ) ).

tff(func_def_4378,type,
    sK3049: 
      !>[X0: $tType] : ( fun(nat,X0) > nat ) ).

tff(func_def_4379,type,
    sK3050: 
      !>[X0: $tType] : ( fun(nat,X0) > X0 ) ).

tff(func_def_4380,type,
    sK3051: 
      !>[X0: $tType] : ( ( fun(real,X0) * real * real ) > X0 ) ).

tff(func_def_4381,type,
    sK3052: 
      !>[X0: $tType] : ( ( fun(real,X0) * real * real * X0 ) > real ) ).

tff(func_def_4382,type,
    sK3053: 
      !>[X0: $tType] : ( ( real * real * fun(real,X0) ) > real ) ).

tff(func_def_4383,type,
    sK3054: 
      !>[X0: $tType] : ( ( real * real * fun(real,X0) ) > X0 ) ).

tff(func_def_4384,type,
    sK3055: 
      !>[X0: $tType] : ( ( real * real * fun(real,X0) ) > real ) ).

tff(func_def_4385,type,
    sK3056: 
      !>[X0: $tType] : ( ( fun(real,X0) * real * real ) > X0 ) ).

tff(func_def_4386,type,
    sK3057: 
      !>[X0: $tType] : ( ( fun(real,X0) * real * real ) > real ) ).

tff(func_def_4387,type,
    sK3058: 
      !>[X0: $tType] : ( ( real * real * fun(real,X0) ) > real ) ).

tff(func_def_4388,type,
    sK3059: 
      !>[X0: $tType] : ( ( fun(real,X0) * real * real ) > X0 ) ).

tff(func_def_4389,type,
    sK3060: 
      !>[X0: $tType] : ( ( fun(real,X0) * real * real ) > real ) ).

tff(func_def_4390,type,
    sK3061: 
      !>[X0: $tType] : ( ( real * real * fun(real,X0) ) > real ) ).

tff(func_def_4391,type,
    sK3062: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * X0 * X0 ) > X0 ) ).

tff(func_def_4392,type,
    sK3063: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * X0 * X1 * X0 ) > X0 ) ).

tff(func_def_4393,type,
    sK3064: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * X0 * X0 ) > X0 ) ).

tff(func_def_4394,type,
    sK3065: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * X0 * X1 * X0 ) > X0 ) ).

tff(func_def_4395,type,
    sK3066: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,$o) * fun(X1,X0) * X0 ) > X1 ) ).

tff(func_def_4396,type,
    sK3067: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,$o) * fun(X1,X0) ) > X0 ) ).

tff(func_def_4397,type,
    sK3068: 
      !>[X0: $tType] : ( ( fun(X0,$o) * X0 ) > X0 ) ).

tff(func_def_4398,type,
    sK3069: 
      !>[X0: $tType] : ( fun(X0,$o) > X0 ) ).

tff(func_def_4399,type,
    sK3070: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_4400,type,
    sK3071: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_4401,type,
    sK3072: 
      !>[X0: $tType] : ( X0 > X0 ) ).

tff(func_def_4402,type,
    sK3073: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,$o)) * set(X0) * X0 ) > X0 ) ).

tff(func_def_4403,type,
    sK3074: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,$o)) * set(X0) * X0 ) > X0 ) ).

tff(func_def_4404,type,
    sK3075: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * fun(X1,$o) ) > X1 ) ).

tff(func_def_4405,type,
    sK3076: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * fun(X1,$o) ) > X1 ) ).

tff(func_def_4406,type,
    sK3077: 
      !>[X0: $tType] : ( fun(X0,$o) > X0 ) ).

tff(func_def_4407,type,
    sK3078: 
      !>[X0: $tType] : ( ( fun(X0,$o) * X0 ) > X0 ) ).

tff(func_def_4408,type,
    sK3079: 
      !>[X0: $tType] : ( fun(X0,$o) > X0 ) ).

tff(func_def_4409,type,
    sK3080: 
      !>[X0: $tType] : ( fun(X0,$o) > X0 ) ).

tff(func_def_4410,type,
    sK3081: 
      !>[X0: $tType] : ( ( set(X0) * set(X0) ) > nat ) ).

tff(func_def_4411,type,
    sK3082: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_4412,type,
    sK3083: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_4413,type,
    sK3084: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_4414,type,
    sK3085: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_4415,type,
    sK3086: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,fun(X1,$o)) * filter(X0) * filter(X1) ) > filter(product_prod(X0,X1)) ) ).

tff(func_def_4416,type,
    sK3087: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,fun(X1,$o)) * filter(X0) * filter(X1) ) > filter(product_prod(X0,X1)) ) ).

tff(func_def_4417,type,
    sK3088: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( set(X2) * fun(X2,set(X1)) * set(X0) ) > X2 ) ).

tff(func_def_4418,type,
    sK3089: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( set(product_prod(X0,X0)) * set(X2) * fun(X2,set(X1)) ) > X2 ) ).

tff(func_def_4419,type,
    sK3090: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( fun(X1,set(X0)) * set(product_prod(X2,X2)) ) > X1 ) ).

tff(func_def_4420,type,
    sK3091: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( set(product_prod(X1,X1)) * fun(X0,set(X2)) ) > X0 ) ).

tff(func_def_4421,type,
    sK3092: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_4422,type,
    sK3093: 
      !>[X0: $tType] : ( X0 > X0 ) ).

tff(func_def_4423,type,
    sK3094: 
      !>[X0: $tType] : ( X0 > X0 ) ).

tff(func_def_4424,type,
    sK3095: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) * set(product_prod(X0,X0)) ) > X0 ) ).

tff(func_def_4425,type,
    sK3096: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) * set(product_prod(X0,X0)) ) > nat ) ).

tff(func_def_4426,type,
    sK3097: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) * set(product_prod(X0,X0)) ) > X0 ) ).

tff(func_def_4427,type,
    sK3098: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) * set(product_prod(X0,X0)) ) > X0 ) ).

tff(func_def_4428,type,
    sK3099: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) * set(product_prod(X0,X0)) ) > list(X0) ) ).

tff(func_def_4429,type,
    sK3100: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) * set(product_prod(X0,X0)) ) > list(X0) ) ).

tff(func_def_4430,type,
    sK3101: 
      !>[X0: $tType] : ( ( X0 * list(X0) * list(X0) * set(product_prod(X0,X0)) ) > list(X0) ) ).

tff(func_def_4431,type,
    sK3102: 
      !>[X0: $tType] : ( ( X0 * list(X0) * list(X0) * set(product_prod(X0,X0)) ) > X0 ) ).

tff(func_def_4432,type,
    sK3103: 
      !>[X0: $tType] : ( ( list(X0) * X0 * list(X0) * set(product_prod(X0,X0)) ) > list(X0) ) ).

tff(func_def_4433,type,
    sK3104: 
      !>[X0: $tType] : ( ( list(X0) * X0 * list(X0) * set(product_prod(X0,X0)) ) > X0 ) ).

tff(func_def_4434,type,
    sK3105: ( nat * nat ) > nat ).

tff(func_def_4435,type,
    sK3106: ( nat * nat ) > nat ).

tff(func_def_4436,type,
    sK3107: ( nat * nat ) > nat ).

tff(func_def_4437,type,
    sK3108: ( nat * nat ) > nat ).

tff(func_def_4438,type,
    sK3109: real > int ).

tff(func_def_4439,type,
    sK3110: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( set(X2) * fun(X0,X1) * fun(X2,X0) ) > X2 ) ).

tff(func_def_4440,type,
    sK3111: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,X1) * X1 ) > X0 ) ).

tff(func_def_4441,type,
    sK3112: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * X0 * fun(X1,X0) ) > X1 ) ).

tff(func_def_4442,type,
    sK3113: 
      !>[X0: $tType] : ( ( fun(nat,X0) * X0 ) > nat ) ).

tff(func_def_4443,type,
    sK3114: 
      !>[X0: $tType,X1: $tType] : ( ( X1 * set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_4444,type,
    sK3115: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_4445,type,
    sK3116: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_4446,type,
    sK3117: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_4447,type,
    sK3118: 
      !>[X0: $tType] : ( fun(nat,X0) > nat ) ).

tff(func_def_4448,type,
    sK3119: 
      !>[X0: $tType] : ( fun(nat,X0) > nat ) ).

tff(func_def_4449,type,
    sK3120: 
      !>[X0: $tType] : ( fun(nat,X0) > nat ) ).

tff(func_def_4450,type,
    sK3121: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,X1) ) > X0 ) ).

tff(func_def_4451,type,
    sK3122: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,X1) ) > X0 ) ).

tff(func_def_4452,type,
    sK3123: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( set(X0) * set(X2) * fun(X2,X1) * fun(X2,X0) * fun(X0,X1) ) > X0 ) ).

tff(func_def_4453,type,
    sK3124: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_4454,type,
    sK3125: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,X1) ) > X0 ) ).

tff(func_def_4455,type,
    sK3126: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,X1) ) > X0 ) ).

tff(func_def_4456,type,
    sK3127: 
      !>[X0: $tType] : ( fun(nat,X0) > nat ) ).

tff(func_def_4457,type,
    sK3128: 
      !>[X0: $tType] : ( fun(nat,X0) > nat ) ).

tff(func_def_4458,type,
    sK3129: 
      !>[X0: $tType] : ( fun(nat,X0) > nat ) ).

tff(func_def_4459,type,
    sK3130: 
      !>[X0: $tType] : ( ( fun(nat,X0) * fun(nat,X0) ) > nat ) ).

tff(func_def_4460,type,
    sK3131: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_4461,type,
    sK3132: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,X1) ) > X0 ) ).

tff(func_def_4462,type,
    sK3133: 
      !>[X0: $tType] : ( ( fun(nat,X0) * set(nat) ) > nat ) ).

tff(func_def_4463,type,
    sK3134: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,X0) * fun(X1,X0) ) > X1 ) ).

tff(func_def_4464,type,
    sK3135: 
      !>[X0: $tType] : ( fun(X0,$o) > set(X0) ) ).

tff(func_def_4465,type,
    sK3136: 
      !>[X0: $tType] : ( ( fun(X0,X0) * fun(X0,$o) ) > X0 ) ).

tff(func_def_4466,type,
    sK3137: 
      !>[X0: $tType] : ( fun(X0,fun(X0,X0)) > X0 ) ).

tff(func_def_4467,type,
    sK3138: 
      !>[X0: $tType] : ( fun(X0,fun(X0,X0)) > X0 ) ).

tff(func_def_4468,type,
    sK3139: 
      !>[X0: $tType] : ( fun(X0,fun(X0,X0)) > X0 ) ).

tff(func_def_4469,type,
    sK3140: 
      !>[X0: $tType] : ( fun(X0,fun(X0,X0)) > X0 ) ).

tff(func_def_4470,type,
    sK3141: 
      !>[X0: $tType] : ( ( fun(X0,X0) * X0 ) > X0 ) ).

tff(func_def_4471,type,
    sK3142: 
      !>[X0: $tType] : ( ( fun(X0,X0) * fun(X0,X0) ) > X0 ) ).

tff(func_def_4472,type,
    sK3143: 
      !>[X0: $tType] : ( ( fun(X0,X0) * X0 ) > X0 ) ).

tff(func_def_4473,type,
    sK3144: 
      !>[X0: $tType] : ( ( real * fun(nat,X0) * fun(X0,X0) ) > X0 ) ).

tff(func_def_4474,type,
    sK3145: 
      !>[X0: $tType] : ( ( real * fun(nat,X0) * fun(X0,X0) ) > X0 ) ).

tff(func_def_4475,type,
    sK3146: 
      !>[X0: $tType] : ( ( real * fun(nat,X0) ) > X0 ) ).

tff(func_def_4476,type,
    sK3147: 
      !>[X0: $tType] : ( ( real * fun(nat,X0) * fun(X0,X0) ) > X0 ) ).

tff(func_def_4477,type,
    sK3148: 
      !>[X0: $tType] : ( fun(nat,X0) > X0 ) ).

tff(func_def_4478,type,
    sK3149: 
      !>[X0: $tType] : ( ( real * fun(nat,X0) ) > X0 ) ).

tff(func_def_4479,type,
    sK3150: 
      !>[X0: $tType] : ( fun(nat,X0) > X0 ) ).

tff(func_def_4480,type,
    sK3151: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_4481,type,
    sK3152: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_4482,type,
    sK3153: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_4483,type,
    sK3154: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_4484,type,
    sK3155: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_4485,type,
    sK3156: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_4486,type,
    sK3157: 
      !>[X0: $tType] : ( fun(X0,$o) > X0 ) ).

tff(func_def_4487,type,
    sK3158: 
      !>[X0: $tType] : ( ( fun(X0,$o) * fun(X0,$o) ) > X0 ) ).

tff(func_def_4488,type,
    sK3159: 
      !>[X0: $tType] : ( fun(X0,$o) > X0 ) ).

tff(func_def_4489,type,
    sK3160: 
      !>[X0: $tType] : ( ( fun(X0,$o) * fun(X0,$o) ) > X0 ) ).

tff(func_def_4490,type,
    sK3161: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * set(X0) * set(X0) ) > X0 ) ).

tff(func_def_4491,type,
    sK3162: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * product_prod(set(X0),set(X0)) ) > set(X0) ) ).

tff(func_def_4492,type,
    sK3163: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * product_prod(set(X0),set(X0)) ) > set(X0) ) ).

tff(func_def_4493,type,
    sK3164: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * product_prod(set(X0),set(X0)) * X0 ) > X0 ) ).

tff(func_def_4494,type,
    sK3165: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * list(X0) * list(X0) ) > list(X0) ) ).

tff(func_def_4495,type,
    sK3166: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * list(X0) * list(X0) ) > X0 ) ).

tff(func_def_4496,type,
    sK3167: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * list(X0) * list(X0) ) > X0 ) ).

tff(func_def_4497,type,
    sK3168: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * list(X0) * list(X0) ) > list(X0) ) ).

tff(func_def_4498,type,
    sK3169: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,X0) * fun(X1,X0) ) > X1 ) ).

tff(func_def_4499,type,
    sK3170: 
      !>[X0: $tType,X1: $tType] : ( ( fun(set(product_prod(X0,X1)),set(product_prod(X0,X1))) * fun(X0,fun(X1,$o)) ) > X0 ) ).

tff(func_def_4500,type,
    sK3171: 
      !>[X0: $tType,X1: $tType] : ( ( fun(set(product_prod(X0,X1)),set(product_prod(X0,X1))) * fun(X0,fun(X1,$o)) ) > X1 ) ).

tff(func_def_4501,type,
    sK3172: 
      !>[X0: $tType] : ( fun(X0,$o) > set(X0) ) ).

tff(func_def_4502,type,
    sK3173: 
      !>[X0: $tType] : ( ( fun(X0,X0) * fun(X0,$o) ) > X0 ) ).

tff(func_def_4503,type,
    sK3174: 
      !>[X0: $tType] : ( ( fun(X0,X0) * fun(X0,X0) ) > X0 ) ).

tff(func_def_4504,type,
    sK3175: 
      !>[X0: $tType] : ( ( fun(X0,X0) * X0 ) > X0 ) ).

tff(func_def_4505,type,
    sK3176: 
      !>[X0: $tType] : ( fun(X0,fun(X0,X0)) > X0 ) ).

tff(func_def_4506,type,
    sK3177: 
      !>[X0: $tType] : ( fun(X0,fun(X0,X0)) > X0 ) ).

tff(func_def_4507,type,
    sK3178: 
      !>[X0: $tType] : ( fun(X0,fun(X0,X0)) > X0 ) ).

tff(func_def_4508,type,
    sK3179: 
      !>[X0: $tType] : ( fun(X0,fun(X0,X0)) > X0 ) ).

tff(func_def_4509,type,
    sK3180: 
      !>[X0: $tType] : ( ( fun(X0,X0) * X0 ) > X0 ) ).

tff(func_def_4510,type,
    sK3181: 
      !>[X0: $tType] : ( ( fun(nat,X0) * fun(nat,X0) ) > nat ) ).

tff(func_def_4511,type,
    sK3182: 
      !>[X0: $tType] : ( ( real * fun(nat,X0) * nat ) > real ) ).

tff(func_def_4512,type,
    sK3183: ( fun(nat,real) * nat ) > nat ).

tff(func_def_4513,type,
    sK3184: ( fun(nat,real) * nat ) > nat ).

tff(func_def_4514,type,
    sK3185: fun(nat,real) > nat ).

tff(func_def_4515,type,
    sK3186: fun(nat,real) > nat ).

tff(func_def_4516,type,
    sK3187: ( fun(nat,real) * nat ) > nat ).

tff(func_def_4517,type,
    sK3188: ( fun(nat,real) * nat ) > nat ).

tff(func_def_4518,type,
    sK3189: 
      !>[X0: $tType] : ( set(X0) > set(X0) ) ).

tff(func_def_4519,type,
    sK3190: 
      !>[X0: $tType] : ( set(X0) > set(X0) ) ).

tff(func_def_4520,type,
    sK3191: 
      !>[X0: $tType] : ( set(X0) > set(X0) ) ).

tff(func_def_4521,type,
    sK3192: 
      !>[X0: $tType] : ( set(X0) > set(X0) ) ).

tff(func_def_4522,type,
    sK3193: 
      !>[X0: $tType] : ( set(X0) > set(X0) ) ).

tff(func_def_4523,type,
    sK3194: 
      !>[X0: $tType] : ( set(X0) > set(X0) ) ).

tff(func_def_4524,type,
    sK3195: 
      !>[X0: $tType] : ( set(set(X0)) > set(X0) ) ).

tff(func_def_4525,type,
    sK3196: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_4526,type,
    sK3197: ( vEBT_VEBT * extended_enat * vEBT_VEBT ) > option(product_prod(nat,nat)) ).

tff(func_def_4527,type,
    sK3198: ( vEBT_VEBT * extended_enat * vEBT_VEBT ) > nat ).

tff(func_def_4528,type,
    sK3199: ( vEBT_VEBT * extended_enat * vEBT_VEBT ) > list(vEBT_VEBT) ).

tff(func_def_4529,type,
    sK3200: ( vEBT_VEBT * extended_enat * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_4530,type,
    sK3201: ( vEBT_VEBT * extended_enat * vEBT_VEBT ) > nat ).

tff(func_def_4531,type,
    sK3202: ( vEBT_VEBT * extended_enat * vEBT_VEBT ) > option(product_prod(nat,nat)) ).

tff(func_def_4532,type,
    sK3203: ( vEBT_VEBT * extended_enat * vEBT_VEBT ) > nat ).

tff(func_def_4533,type,
    sK3204: ( vEBT_VEBT * extended_enat * vEBT_VEBT ) > list(vEBT_VEBT) ).

tff(func_def_4534,type,
    sK3205: ( vEBT_VEBT * extended_enat * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_4535,type,
    sK3206: ( vEBT_VEBT * extended_enat * vEBT_VEBT ) > $o ).

tff(func_def_4536,type,
    sK3207: ( vEBT_VEBT * extended_enat * vEBT_VEBT ) > $o ).

tff(func_def_4537,type,
    sK3208: product_prod(vEBT_VEBT,extended_enat) > option(product_prod(nat,nat)) ).

tff(func_def_4538,type,
    sK3209: product_prod(vEBT_VEBT,extended_enat) > nat ).

tff(func_def_4539,type,
    sK3210: product_prod(vEBT_VEBT,extended_enat) > list(vEBT_VEBT) ).

tff(func_def_4540,type,
    sK3211: product_prod(vEBT_VEBT,extended_enat) > vEBT_VEBT ).

tff(func_def_4541,type,
    sK3212: product_prod(vEBT_VEBT,extended_enat) > nat ).

tff(func_def_4542,type,
    sK3213: product_prod(vEBT_VEBT,extended_enat) > option(product_prod(nat,nat)) ).

tff(func_def_4543,type,
    sK3214: product_prod(vEBT_VEBT,extended_enat) > nat ).

tff(func_def_4544,type,
    sK3215: product_prod(vEBT_VEBT,extended_enat) > list(vEBT_VEBT) ).

tff(func_def_4545,type,
    sK3216: product_prod(vEBT_VEBT,extended_enat) > vEBT_VEBT ).

tff(func_def_4546,type,
    sK3217: product_prod(vEBT_VEBT,extended_enat) > $o ).

tff(func_def_4547,type,
    sK3218: product_prod(vEBT_VEBT,extended_enat) > $o ).

tff(func_def_4548,type,
    sK3219: product_prod(vEBT_VEBT,extended_enat) > extended_enat ).

tff(func_def_4549,type,
    sK3220: ( vEBT_VEBT * extended_enat * vEBT_VEBT ) > option(product_prod(nat,nat)) ).

tff(func_def_4550,type,
    sK3221: ( vEBT_VEBT * extended_enat * vEBT_VEBT ) > nat ).

tff(func_def_4551,type,
    sK3222: ( vEBT_VEBT * extended_enat * vEBT_VEBT ) > list(vEBT_VEBT) ).

tff(func_def_4552,type,
    sK3223: ( vEBT_VEBT * extended_enat * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_4553,type,
    sK3224: ( vEBT_VEBT * extended_enat * vEBT_VEBT ) > option(product_prod(nat,nat)) ).

tff(func_def_4554,type,
    sK3225: ( vEBT_VEBT * extended_enat * vEBT_VEBT ) > nat ).

tff(func_def_4555,type,
    sK3226: ( vEBT_VEBT * extended_enat * vEBT_VEBT ) > list(vEBT_VEBT) ).

tff(func_def_4556,type,
    sK3227: ( vEBT_VEBT * extended_enat * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_4557,type,
    sK3228: ( vEBT_VEBT * extended_enat * vEBT_VEBT ) > nat ).

tff(func_def_4558,type,
    sK3229: ( vEBT_VEBT * vEBT_VEBT ) > $o ).

tff(func_def_4559,type,
    sK3230: ( vEBT_VEBT * vEBT_VEBT ) > $o ).

tff(func_def_4560,type,
    sK3231: ( extended_enat * nat ) > nat ).

tff(func_def_4561,type,
    sK3232: ( nat * extended_enat ) > nat ).

tff(func_def_4562,type,
    sK3233: 
      !>[X0: $tType] : ( ( fun(X0,$o) * set(X0) ) > X0 ) ).

tff(func_def_4563,type,
    sK3234: 
      !>[X0: $tType] : ( ( X0 * fun(X0,X0) * fun(X0,$o) ) > X0 ) ).

tff(func_def_4564,type,
    sK3235: 
      !>[X0: $tType] : ( ( X0 * fun(X0,$o) ) > set(X0) ) ).

tff(func_def_4565,type,
    sK3236: 
      !>[X0: $tType] : set(X0) ).

tff(func_def_4566,type,
    sK3237: 
      !>[X0: $tType] : ( ( fun(X0,X0) * set(X0) ) > X0 ) ).

tff(func_def_4567,type,
    sK3238: 
      !>[X0: $tType] : ( ( X0 * fun(X0,X0) ) > X0 ) ).

tff(func_def_4568,type,
    sK3239: 
      !>[X0: $tType] : ( ( X0 * fun(X0,X0) ) > set(X0) ) ).

tff(func_def_4569,type,
    sK3240: 
      !>[X0: $tType] : ( ( fun(X0,X0) * X0 ) > set(X0) ) ).

tff(func_def_4570,type,
    sK3241: 
      !>[X0: $tType] : ( ( fun(X0,X0) * X0 ) > X0 ) ).

tff(func_def_4571,type,
    sK3242: 
      !>[X0: $tType] : ( ( set(X0) * fun(X0,X0) ) > X0 ) ).

tff(func_def_4572,type,
    sK3243: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_4573,type,
    sK3244: 
      !>[X0: $tType] : ( ( fun(set(X0),$o) * set(X0) ) > set(X0) ) ).

tff(func_def_4574,type,
    sK3245: 
      !>[X0: $tType] : ( ( fun(set(X0),$o) * set(X0) ) > X0 ) ).

tff(func_def_4575,type,
    sK3246: 
      !>[X0: $tType] : ( ( fun(nat,X0) * nat ) > nat ) ).

tff(func_def_4576,type,
    sK3247: 
      !>[X0: $tType] : ( fun(nat,X0) > nat ) ).

tff(func_def_4577,type,
    sK3248: 
      !>[X0: $tType] : ( ( fun(nat,X0) * nat ) > nat ) ).

tff(func_def_4578,type,
    sK3249: 
      !>[X0: $tType] : ( fun(nat,X0) > nat ) ).

tff(func_def_4579,type,
    sK3250: 
      !>[X0: $tType] : ( ( fun(nat,X0) * real * nat ) > nat ) ).

tff(func_def_4580,type,
    sK3251: 
      !>[X0: $tType] : ( fun(nat,X0) > real ) ).

tff(func_def_4581,type,
    sK3252: 
      !>[X0: $tType] : ( fun(nat,X0) > nat ) ).

tff(func_def_4582,type,
    sK3253: 
      !>[X0: $tType] : ( ( fun(nat,X0) * real * X0 ) > nat ) ).

tff(func_def_4583,type,
    sK3254: 
      !>[X0: $tType] : ( fun(nat,X0) > real ) ).

tff(func_def_4584,type,
    sK3255: 
      !>[X0: $tType] : ( fun(nat,X0) > X0 ) ).

tff(func_def_4585,type,
    sK3256: 
      !>[X0: $tType] : ( ( set(X0) * set(set(X0)) ) > set(set(X0)) ) ).

tff(func_def_4586,type,
    sK3257: 
      !>[X0: $tType] : ( set(set(X0)) > set(X0) ) ).

tff(func_def_4587,type,
    sK3258: 
      !>[X0: $tType] : ( set(X0) > set(set(X0)) ) ).

tff(func_def_4588,type,
    sK3259: 
      !>[X0: $tType] : ( ( set(X0) * set(set(X0)) ) > set(set(X0)) ) ).

tff(func_def_4589,type,
    sK3260: 
      !>[X0: $tType] : ( set(set(X0)) > set(X0) ) ).

tff(func_def_4590,type,
    sK3261: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * set(X0) * fun(X0,set(X1)) ) > set(X0) ) ).

tff(func_def_4591,type,
    sK3262: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,set(X1)) ) > X0 ) ).

tff(func_def_4592,type,
    sK3263: 
      !>[X0: $tType] : ( ( fun(X0,$o) * fun(X0,$o) * fun(X0,$o) ) > X0 ) ).

tff(func_def_4593,type,
    sK3264: 
      !>[X0: $tType] : ( ( filter(X0) * filter(X0) * fun(X0,$o) ) > fun(X0,$o) ) ).

tff(func_def_4594,type,
    sK3265: 
      !>[X0: $tType] : ( ( filter(X0) * filter(X0) * fun(X0,$o) ) > fun(X0,$o) ) ).

tff(func_def_4595,type,
    sK3266: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * fun(X1,$o) * fun(X0,$o) ) > X1 ) ).

tff(func_def_4596,type,
    sK3267: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * filter(X0) * fun(X1,$o) ) > fun(X0,$o) ) ).

tff(func_def_4597,type,
    sK3268: 
      !>[X0: $tType] : ( ( set(filter(X0)) * fun(X0,$o) ) > filter(X0) ) ).

tff(func_def_4598,type,
    sK3269: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * fun(X1,$o) * X1 ) > X1 ) ).

tff(func_def_4599,type,
    sK3270: 
      !>[X0: $tType] : ( ( set(X0) * list(X0) ) > X0 ) ).

tff(pred_def_1,type,
    type: 
      !>[X0: $tType] : $o ).

tff(pred_def_2,type,
    size: 
      !>[X0: $tType] : $o ).

tff(pred_def_3,type,
    dvd: 
      !>[X0: $tType] : $o ).

tff(pred_def_4,type,
    one: 
      !>[X0: $tType] : $o ).

tff(pred_def_5,type,
    idom: 
      !>[X0: $tType] : $o ).

tff(pred_def_6,type,
    ring: 
      !>[X0: $tType] : $o ).

tff(pred_def_7,type,
    plus: 
      !>[X0: $tType] : $o ).

tff(pred_def_8,type,
    zero: 
      !>[X0: $tType] : $o ).

tff(pred_def_9,type,
    numeral: 
      !>[X0: $tType] : $o ).

tff(pred_def_10,type,
    power: 
      !>[X0: $tType] : $o ).

tff(pred_def_11,type,
    field: 
      !>[X0: $tType] : $o ).

tff(pred_def_12,type,
    ring_gcd: 
      !>[X0: $tType] : $o ).

tff(pred_def_13,type,
    ring_1: 
      !>[X0: $tType] : $o ).

tff(pred_def_14,type,
    uminus: 
      !>[X0: $tType] : $o ).

tff(pred_def_15,type,
    bot: 
      !>[X0: $tType] : $o ).

tff(pred_def_16,type,
    ord: 
      !>[X0: $tType] : $o ).

tff(pred_def_17,type,
    top: 
      !>[X0: $tType] : $o ).

tff(pred_def_18,type,
    inverse: 
      !>[X0: $tType] : $o ).

tff(pred_def_19,type,
    semiring: 
      !>[X0: $tType] : $o ).

tff(pred_def_20,type,
    ring_char_0: 
      !>[X0: $tType] : $o ).

tff(pred_def_21,type,
    neg_numeral: 
      !>[X0: $tType] : $o ).

tff(pred_def_22,type,
    order: 
      !>[X0: $tType] : $o ).

tff(pred_def_23,type,
    comm_ring: 
      !>[X0: $tType] : $o ).

tff(pred_def_24,type,
    semiring_Gcd: 
      !>[X0: $tType] : $o ).

tff(pred_def_25,type,
    semiring_gcd: 
      !>[X0: $tType] : $o ).

tff(pred_def_26,type,
    group_add: 
      !>[X0: $tType] : $o ).

tff(pred_def_27,type,
    lattice: 
      !>[X0: $tType] : $o ).

tff(pred_def_28,type,
    no_bot: 
      !>[X0: $tType] : $o ).

tff(pred_def_29,type,
    no_top: 
      !>[X0: $tType] : $o ).

tff(pred_def_30,type,
    semiring_0: 
      !>[X0: $tType] : $o ).

tff(pred_def_31,type,
    semiring_1: 
      !>[X0: $tType] : $o ).

tff(pred_def_32,type,
    finite_finite: 
      !>[X0: $tType] : $o ).

tff(pred_def_33,type,
    monoid_add: 
      !>[X0: $tType] : $o ).

tff(pred_def_34,type,
    comm_ring_1: 
      !>[X0: $tType] : $o ).

tff(pred_def_35,type,
    ln: 
      !>[X0: $tType] : $o ).

tff(pred_def_36,type,
    monoid_mult: 
      !>[X0: $tType] : $o ).

tff(pred_def_37,type,
    linorder: 
      !>[X0: $tType] : $o ).

tff(pred_def_38,type,
    preorder: 
      !>[X0: $tType] : $o ).

tff(pred_def_39,type,
    ring_parity: 
      !>[X0: $tType] : $o ).

tff(pred_def_40,type,
    ordered_ring: 
      !>[X0: $tType] : $o ).

tff(pred_def_41,type,
    finite_lattice: 
      !>[X0: $tType] : $o ).

tff(pred_def_42,type,
    field_char_0: 
      !>[X0: $tType] : $o ).

tff(pred_def_43,type,
    ab_group_add: 
      !>[X0: $tType] : $o ).

tff(pred_def_44,type,
    semiring_char_0: 
      !>[X0: $tType] : $o ).

tff(pred_def_45,type,
    order_bot: 
      !>[X0: $tType] : $o ).

tff(pred_def_46,type,
    order_top: 
      !>[X0: $tType] : $o ).

tff(pred_def_47,type,
    wellorder: 
      !>[X0: $tType] : $o ).

tff(pred_def_48,type,
    comm_semiring: 
      !>[X0: $tType] : $o ).

tff(pred_def_49,type,
    zero_less_one: 
      !>[X0: $tType] : $o ).

tff(pred_def_50,type,
    division_ring: 
      !>[X0: $tType] : $o ).

tff(pred_def_51,type,
    semigroup_add: 
      !>[X0: $tType] : $o ).

tff(pred_def_52,type,
    semiring_numeral: 
      !>[X0: $tType] : $o ).

tff(pred_def_53,type,
    semidom_divide: 
      !>[X0: $tType] : $o ).

tff(pred_def_54,type,
    semidom_modulo: 
      !>[X0: $tType] : $o ).

tff(pred_def_55,type,
    semigroup_mult: 
      !>[X0: $tType] : $o ).

tff(pred_def_56,type,
    dense_order: 
      !>[X0: $tType] : $o ).

tff(pred_def_57,type,
    comm_semiring_0: 
      !>[X0: $tType] : $o ).

tff(pred_def_58,type,
    comm_semiring_1: 
      !>[X0: $tType] : $o ).

tff(pred_def_59,type,
    linordered_idom: 
      !>[X0: $tType] : $o ).

tff(pred_def_60,type,
    linordered_ring: 
      !>[X0: $tType] : $o ).

tff(pred_def_61,type,
    semiring_modulo: 
      !>[X0: $tType] : $o ).

tff(pred_def_62,type,
    comm_monoid_add: 
      !>[X0: $tType] : $o ).

tff(pred_def_63,type,
    semiring_parity: 
      !>[X0: $tType] : $o ).

tff(pred_def_64,type,
    ordered_ring_abs: 
      !>[X0: $tType] : $o ).

tff(pred_def_65,type,
    ordered_semiring: 
      !>[X0: $tType] : $o ).

tff(pred_def_66,type,
    linordered_field: 
      !>[X0: $tType] : $o ).

tff(pred_def_67,type,
    ab_semigroup_add: 
      !>[X0: $tType] : $o ).

tff(pred_def_68,type,
    comm_monoid_diff: 
      !>[X0: $tType] : $o ).

tff(pred_def_69,type,
    comm_monoid_mult: 
      !>[X0: $tType] : $o ).

tff(pred_def_70,type,
    algebraic_semidom: 
      !>[X0: $tType] : $o ).

tff(pred_def_71,type,
    semiring_1_cancel: 
      !>[X0: $tType] : $o ).

tff(pred_def_72,type,
    ab_semigroup_mult: 
      !>[X0: $tType] : $o ).

tff(pred_def_73,type,
    bounded_lattice: 
      !>[X0: $tType] : $o ).

tff(pred_def_74,type,
    distrib_lattice: 
      !>[X0: $tType] : $o ).

tff(pred_def_75,type,
    semilattice_inf: 
      !>[X0: $tType] : $o ).

tff(pred_def_76,type,
    semilattice_sup: 
      !>[X0: $tType] : $o ).

tff(pred_def_77,type,
    dense_linorder: 
      !>[X0: $tType] : $o ).

tff(pred_def_78,type,
    linordered_semidom: 
      !>[X0: $tType] : $o ).

tff(pred_def_79,type,
    ordered_semiring_0: 
      !>[X0: $tType] : $o ).

tff(pred_def_80,type,
    real_Vector_banach: 
      !>[X0: $tType] : $o ).

tff(pred_def_81,type,
    linordered_semiring: 
      !>[X0: $tType] : $o ).

tff(pred_def_82,type,
    comple9053668089753744459l_ccpo: 
      !>[X0: $tType] : $o ).

tff(pred_def_83,type,
    finite8700451911770168679attice: 
      !>[X0: $tType] : $o ).

tff(pred_def_84,type,
    cancel_semigroup_add: 
      !>[X0: $tType] : $o ).

tff(pred_def_85,type,
    ordered_ab_group_add: 
      !>[X0: $tType] : $o ).

tff(pred_def_86,type,
    linord6961819062388156250ring_1: 
      !>[X0: $tType] : $o ).

tff(pred_def_87,type,
    ordere2520102378445227354miring: 
      !>[X0: $tType] : $o ).

tff(pred_def_88,type,
    topological_t1_space: 
      !>[X0: $tType] : $o ).

tff(pred_def_89,type,
    topological_t2_space: 
      !>[X0: $tType] : $o ).

tff(pred_def_90,type,
    topological_t3_space: 
      !>[X0: $tType] : $o ).

tff(pred_def_91,type,
    topological_t4_space: 
      !>[X0: $tType] : $o ).

tff(pred_def_92,type,
    bit_semiring_bits: 
      !>[X0: $tType] : $o ).

tff(pred_def_93,type,
    bounded_lattice_bot: 
      !>[X0: $tType] : $o ).

tff(pred_def_94,type,
    topolo1633459387980952147up_add: 
      !>[X0: $tType] : $o ).

tff(pred_def_95,type,
    comm_s4317794764714335236cancel: 
      !>[X0: $tType] : $o ).

tff(pred_def_96,type,
    linord4710134922213307826strict: 
      !>[X0: $tType] : $o ).

tff(pred_def_97,type,
    cancel1802427076303600483id_add: 
      !>[X0: $tType] : $o ).

tff(pred_def_98,type,
    topolo6943815403480290642id_add: 
      !>[X0: $tType] : $o ).

tff(pred_def_99,type,
    real_V7773925162809079976_field: 
      !>[X0: $tType] : $o ).

tff(pred_def_100,type,
    ring_15535105094025558882visors: 
      !>[X0: $tType] : $o ).

tff(pred_def_101,type,
    cancel2418104881723323429up_add: 
      !>[X0: $tType] : $o ).

tff(pred_def_102,type,
    linord5086331880401160121up_add: 
      !>[X0: $tType] : $o ).

tff(pred_def_103,type,
    ordere6911136660526730532id_add: 
      !>[X0: $tType] : $o ).

tff(pred_def_104,type,
    topolo1898628316856586783d_mult: 
      !>[X0: $tType] : $o ).

tff(pred_def_105,type,
    real_V4867850818363320053vector: 
      !>[X0: $tType] : $o ).

tff(pred_def_106,type,
    archim2362893244070406136eiling: 
      !>[X0: $tType] : $o ).

tff(pred_def_107,type,
    semiri6843258321239162965malize: 
      !>[X0: $tType] : $o ).

tff(pred_def_108,type,
    ordere166539214618696060dd_abs: 
      !>[X0: $tType] : $o ).

tff(pred_def_109,type,
    ordere6658533253407199908up_add: 
      !>[X0: $tType] : $o ).

tff(pred_def_110,type,
    topolo1287966508704411220up_add: 
      !>[X0: $tType] : $o ).

tff(pred_def_111,type,
    real_V7819770556892013058_space: 
      !>[X0: $tType] : $o ).

tff(pred_def_112,type,
    semiri3467727345109120633visors: 
      !>[X0: $tType] : $o ).

tff(pred_def_113,type,
    boolea8198339166811842893lgebra: 
      !>[X0: $tType] : $o ).

tff(pred_def_114,type,
    linord8928482502909563296strict: 
      !>[X0: $tType] : $o ).

tff(pred_def_115,type,
    topolo8386298272705272623_space: 
      !>[X0: $tType] : $o ).

tff(pred_def_116,type,
    topolo7287701948861334536_space: 
      !>[X0: $tType] : $o ).

tff(pred_def_117,type,
    real_V8037385150606011577_space: 
      !>[X0: $tType] : $o ).

tff(pred_def_118,type,
    real_V2191834092415804123ebra_1: 
      !>[X0: $tType] : $o ).

tff(pred_def_119,type,
    linord181362715937106298miring: 
      !>[X0: $tType] : $o ).

tff(pred_def_120,type,
    semiri2026040879449505780visors: 
      !>[X0: $tType] : $o ).

tff(pred_def_121,type,
    topolo2564578578187576103pology: 
      !>[X0: $tType] : $o ).

tff(pred_def_122,type,
    bit_ri3973907225187159222ations: 
      !>[X0: $tType] : $o ).

tff(pred_def_123,type,
    comple6319245703460814977attice: 
      !>[X0: $tType] : $o ).

tff(pred_def_124,type,
    linord4140545234300271783up_add: 
      !>[X0: $tType] : $o ).

tff(pred_def_125,type,
    topolo5987344860129210374id_add: 
      !>[X0: $tType] : $o ).

tff(pred_def_126,type,
    unboun7993243217541854897norder: 
      !>[X0: $tType] : $o ).

tff(pred_def_127,type,
    real_V768167426530841204y_dist: 
      !>[X0: $tType] : $o ).

tff(pred_def_128,type,
    linord715952674999750819strict: 
      !>[X0: $tType] : $o ).

tff(pred_def_129,type,
    archim462609752435547400_field: 
      !>[X0: $tType] : $o ).

tff(pred_def_130,type,
    comple5582772986160207858norder: 
      !>[X0: $tType] : $o ).

tff(pred_def_131,type,
    real_V5047593784448816457lgebra: 
      !>[X0: $tType] : $o ).

tff(pred_def_132,type,
    bounde4346867609351753570nf_top: 
      !>[X0: $tType] : $o ).

tff(pred_def_133,type,
    bounde4967611905675639751up_bot: 
      !>[X0: $tType] : $o ).

tff(pred_def_134,type,
    real_V3459762299906320749_field: 
      !>[X0: $tType] : $o ).

tff(pred_def_135,type,
    topolo8865339358273720382pology: 
      !>[X0: $tType] : $o ).

tff(pred_def_136,type,
    topolo1944317154257567458pology: 
      !>[X0: $tType] : $o ).

tff(pred_def_137,type,
    topolo4958980785337419405_space: 
      !>[X0: $tType] : $o ).

tff(pred_def_138,type,
    canoni5634975068530333245id_add: 
      !>[X0: $tType] : $o ).

tff(pred_def_139,type,
    ordere8940638589300402666id_add: 
      !>[X0: $tType] : $o ).

tff(pred_def_140,type,
    strict7427464778891057005id_add: 
      !>[X0: $tType] : $o ).

tff(pred_def_141,type,
    real_V822414075346904944vector: 
      !>[X0: $tType] : $o ).

tff(pred_def_142,type,
    linord2810124833399127020strict: 
      !>[X0: $tType] : $o ).

tff(pred_def_143,type,
    bit_se359711467146920520ations: 
      !>[X0: $tType] : $o ).

tff(pred_def_144,type,
    ordere2412721322843649153imp_le: 
      !>[X0: $tType] : $o ).

tff(pred_def_145,type,
    ordere580206878836729694up_add: 
      !>[X0: $tType] : $o ).

tff(pred_def_146,type,
    ordere1170586879665033532d_diff: 
      !>[X0: $tType] : $o ).

tff(pred_def_147,type,
    strict9044650504122735259up_add: 
      !>[X0: $tType] : $o ).

tff(pred_def_148,type,
    real_V5355595471888546746vector: 
      !>[X0: $tType] : $o ).

tff(pred_def_149,type,
    real_V4412858255891104859lgebra: 
      !>[X0: $tType] : $o ).

tff(pred_def_150,type,
    euclid8851590272496341667cancel: 
      !>[X0: $tType] : $o ).

tff(pred_def_151,type,
    real_V2822296259951069270ebra_1: 
      !>[X0: $tType] : $o ).

tff(pred_def_152,type,
    unique1627219031080169319umeral: 
      !>[X0: $tType] : $o ).

tff(pred_def_153,type,
    comple592849572758109894attice: 
      !>[X0: $tType] : $o ).

tff(pred_def_154,type,
    real_V8999393235501362500lgebra: 
      !>[X0: $tType] : $o ).

tff(pred_def_155,type,
    topolo3112930676232923870pology: 
      !>[X0: $tType] : $o ).

tff(pred_def_156,type,
    euclid4440199948858584721cancel: 
      !>[X0: $tType] : $o ).

tff(pred_def_157,type,
    euclid3128863361964157862miring: 
      !>[X0: $tType] : $o ).

tff(pred_def_158,type,
    topolo8458572112393995274pology: 
      !>[X0: $tType] : $o ).

tff(pred_def_159,type,
    ordere1937475149494474687imp_le: 
      !>[X0: $tType] : $o ).

tff(pred_def_160,type,
    euclid8789492081693882211th_nat: 
      !>[X0: $tType] : $o ).

tff(pred_def_161,type,
    euclid5411537665997757685th_nat: 
      !>[X0: $tType] : $o ).

tff(pred_def_162,type,
    counta3822494911875563373attice: 
      !>[X0: $tType] : $o ).

tff(pred_def_163,type,
    semiri1453513574482234551roduct: 
      !>[X0: $tType] : $o ).

tff(pred_def_164,type,
    bit_un5681908812861735899ations: 
      !>[X0: $tType] : $o ).

tff(pred_def_165,type,
    condit1219197933456340205attice: 
      !>[X0: $tType] : $o ).

tff(pred_def_166,type,
    counta4013691401010221786attice: 
      !>[X0: $tType] : $o ).

tff(pred_def_167,type,
    condit6923001295902523014norder: 
      !>[X0: $tType] : $o ).

tff(pred_def_168,type,
    bNF_Cardinal_cfinite: 
      !>[X0: $tType] : ( set(product_prod(X0,X0)) > $o ) ).

tff(pred_def_169,type,
    bNF_Ca4139267488887388095finite: 
      !>[X0: $tType] : ( set(product_prod(X0,X0)) > $o ) ).

tff(pred_def_170,type,
    bNF_Ca8970107618336181345der_on: 
      !>[X0: $tType] : ( ( set(X0) * set(product_prod(X0,X0)) ) > $o ) ).

tff(pred_def_171,type,
    bNF_Ca7293521722713021262ofinal: 
      !>[X0: $tType] : ( ( set(X0) * set(product_prod(X0,X0)) ) > $o ) ).

tff(pred_def_172,type,
    bNF_Ca6246979054910435723ardSuc: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * set(product_prod(set(X0),set(X0))) ) > $o ) ).

tff(pred_def_173,type,
    bNF_Ca7133664381575040944arCard: 
      !>[X0: $tType] : ( set(product_prod(X0,X0)) > $o ) ).

tff(pred_def_174,type,
    bNF_Ca3754400796208372196lChain: 
      !>[X0: $tType,X1: $tType] : ( ( set(product_prod(X0,X0)) * fun(X0,X1) ) > $o ) ).

tff(pred_def_175,type,
    bNF_Gr1419584066657907630d_pred: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * set(product_prod(X1,X1)) * fun(X0,X1) ) > $o ) ).

tff(pred_def_176,type,
    bNF_Wellorder_embed: 
      !>[X0: $tType,X1: $tType] : ( ( set(product_prod(X0,X0)) * set(product_prod(X1,X1)) * fun(X0,X1) ) > $o ) ).

tff(pred_def_177,type,
    bNF_Wellorder_wo_rel: 
      !>[X0: $tType] : ( set(product_prod(X0,X0)) > $o ) ).

tff(pred_def_178,type,
    bNF_We4791949203932849705sMinim: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * set(X0) * X0 ) > $o ) ).

tff(pred_def_179,type,
    bit_se6407376104438227557le_bit: 
      !>[X0: $tType] : ( ( itself(X0) * nat ) > $o ) ).

tff(pred_def_180,type,
    boolea2506097494486148201lgebra: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,X0)) * fun(X0,fun(X0,X0)) * fun(X0,X0) * X0 * X0 ) > $o ) ).

tff(pred_def_181,type,
    comple1908693960933563346ssible: 
      !>[X0: $tType] : ( ( fun(set(X0),X0) * fun(X0,fun(X0,$o)) * fun(X0,$o) ) > $o ) ).

tff(pred_def_182,type,
    comple1602240252501008431_chain: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,$o)) * set(X0) ) > $o ) ).

tff(pred_def_183,type,
    condit941137186595557371_above: 
      !>[X0: $tType] : ( set(X0) > $o ) ).

tff(pred_def_184,type,
    condit1013018076250108175_below: 
      !>[X0: $tType] : ( set(X0) > $o ) ).

tff(pred_def_185,type,
    countable_countable: 
      !>[X0: $tType] : ( set(X0) > $o ) ).

tff(pred_def_186,type,
    has_derivative: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * fun(X0,X1) * filter(X0) ) > $o ) ).

tff(pred_def_187,type,
    has_field_derivative: 
      !>[X0: $tType] : ( ( fun(X0,X0) * X0 * filter(X0) ) > $o ) ).

tff(pred_def_188,type,
    has_ve8173657378732805170vative: 
      !>[X0: $tType] : ( ( fun(real,X0) * X0 * filter(real) ) > $o ) ).

tff(pred_def_189,type,
    eucl_rel_int: ( int * int * product_prod(int,int) ) > $o ).

tff(pred_def_190,type,
    unique5940410009612947441es_aux: 
      !>[X0: $tType] : ( product_prod(X0,X0) > $o ) ).

tff(pred_def_191,type,
    equiv_congruent: 
      !>[X0: $tType,X1: $tType] : ( ( set(product_prod(X0,X0)) * fun(X0,X1) ) > $o ) ).

tff(pred_def_192,type,
    equiv_congruent2: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( set(product_prod(X0,X0)) * set(product_prod(X1,X1)) * fun(X0,fun(X1,X2)) ) > $o ) ).

tff(pred_def_193,type,
    equiv_equiv: 
      !>[X0: $tType] : ( ( set(X0) * set(product_prod(X0,X0)) ) > $o ) ).

tff(pred_def_194,type,
    filterlim: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * filter(X1) * filter(X0) ) > $o ) ).

tff(pred_def_195,type,
    finite6289374366891150609ommute: 
      !>[X0: $tType,X1: $tType] : ( fun(X0,fun(X1,X1)) > $o ) ).

tff(pred_def_196,type,
    finite4664212375090638736ute_on: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,fun(X1,X1)) ) > $o ) ).

tff(pred_def_197,type,
    finite673082921795544331dem_on: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,fun(X1,X1)) ) > $o ) ).

tff(pred_def_198,type,
    finite_fold_graph: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,fun(X1,X1)) * X1 * set(X0) * X1 ) > $o ) ).

tff(pred_def_199,type,
    finite1890593828518410140dem_on: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,fun(X1,X1)) ) > $o ) ).

tff(pred_def_200,type,
    finite_folding_on: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,fun(X1,X1)) ) > $o ) ).

tff(pred_def_201,type,
    bij_betw: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * set(X0) * set(X1) ) > $o ) ).

tff(pred_def_202,type,
    inj_on: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * set(X0) ) > $o ) ).

tff(pred_def_203,type,
    fun_reduction_pair: 
      !>[X0: $tType] : ( product_prod(set(product_prod(X0,X0)),set(product_prod(X0,X0))) > $o ) ).

tff(pred_def_204,type,
    nO_MATCH: 
      !>[X0: $tType,X1: $tType] : ( ( X0 * X1 ) > $o ) ).

tff(pred_def_205,type,
    semila1105856199041335345_order: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,X0)) * X0 * fun(X0,fun(X0,$o)) * fun(X0,fun(X0,$o)) ) > $o ) ).

tff(pred_def_206,type,
    lattic501386751177426532rg_min: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * fun(X0,$o) * X0 ) > $o ) ).

tff(pred_def_207,type,
    lattic4895041142388067077er_set: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,X0)) * fun(X0,fun(X0,$o)) * fun(X0,fun(X0,$o)) ) > $o ) ).

tff(pred_def_208,type,
    lattic149705377957585745ce_set: 
      !>[X0: $tType] : ( fun(X0,fun(X0,X0)) > $o ) ).

tff(pred_def_209,type,
    bfun: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * filter(X0) ) > $o ) ).

tff(pred_def_210,type,
    distinct: 
      !>[X0: $tType] : ( list(X0) > $o ) ).

tff(pred_def_211,type,
    folding_insort_key: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,fun(X0,$o)) * fun(X0,fun(X0,$o)) * set(X1) * fun(X1,X0) ) > $o ) ).

tff(pred_def_212,type,
    lexordp: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,$o)) * list(X0) * list(X0) ) > $o ) ).

tff(pred_def_213,type,
    listrel1p: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,$o)) * list(X0) * list(X0) ) > $o ) ).

tff(pred_def_214,type,
    null: 
      !>[X0: $tType] : ( list(X0) > $o ) ).

tff(pred_def_215,type,
    ord_lexordp: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) ) > $o ) ).

tff(pred_def_216,type,
    sorted_wrt: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,$o)) * list(X0) ) > $o ) ).

tff(pred_def_217,type,
    ring_1_iszero: 
      !>[X0: $tType] : ( X0 > $o ) ).

tff(pred_def_218,type,
    order_inf_continuous: 
      !>[X0: $tType,X1: $tType] : ( fun(X0,X1) > $o ) ).

tff(pred_def_219,type,
    order_sup_continuous: 
      !>[X0: $tType,X1: $tType] : ( fun(X0,X1) > $o ) ).

tff(pred_def_220,type,
    order_679001287576687338der_on: 
      !>[X0: $tType] : ( ( set(X0) * set(product_prod(X0,X0)) ) > $o ) ).

tff(pred_def_221,type,
    order_ofilter: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * set(X0) ) > $o ) ).

tff(pred_def_222,type,
    order_7125193373082350890der_on: 
      !>[X0: $tType] : ( ( set(X0) * set(product_prod(X0,X0)) ) > $o ) ).

tff(pred_def_223,type,
    order_preorder_on: 
      !>[X0: $tType] : ( ( set(X0) * set(product_prod(X0,X0)) ) > $o ) ).

tff(pred_def_224,type,
    order_well_order_on: 
      !>[X0: $tType] : ( ( set(X0) * set(product_prod(X0,X0)) ) > $o ) ).

tff(pred_def_225,type,
    order_antimono: 
      !>[X0: $tType,X1: $tType] : ( fun(X0,X1) > $o ) ).

tff(pred_def_226,type,
    order_strict_mono: 
      !>[X0: $tType,X1: $tType] : ( fun(X0,X1) > $o ) ).

tff(pred_def_227,type,
    ordering_top: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,$o)) * fun(X0,fun(X0,$o)) * X0 ) > $o ) ).

tff(pred_def_228,type,
    cauchy: fun(nat,rat) > $o ).

tff(pred_def_229,type,
    vanishes: fun(nat,rat) > $o ).

tff(pred_def_230,type,
    real_V2442710119149674383linear: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( fun(X0,fun(X1,X2)) > $o ) ).

tff(pred_def_231,type,
    real_V3181309239436604168linear: 
      !>[X0: $tType,X1: $tType] : ( fun(X0,X1) > $o ) ).

tff(pred_def_232,type,
    real_V358717886546972837endent: 
      !>[X0: $tType] : ( set(X0) > $o ) ).

tff(pred_def_233,type,
    antisym: 
      !>[X0: $tType] : ( set(product_prod(X0,X0)) > $o ) ).

tff(pred_def_234,type,
    antisymp: 
      !>[X0: $tType] : ( fun(X0,fun(X0,$o)) > $o ) ).

tff(pred_def_235,type,
    irrefl: 
      !>[X0: $tType] : ( set(product_prod(X0,X0)) > $o ) ).

tff(pred_def_236,type,
    irreflp: 
      !>[X0: $tType] : ( fun(X0,fun(X0,$o)) > $o ) ).

tff(pred_def_237,type,
    refl_on: 
      !>[X0: $tType] : ( ( set(X0) * set(product_prod(X0,X0)) ) > $o ) ).

tff(pred_def_238,type,
    single_valued: 
      !>[X0: $tType,X1: $tType] : ( set(product_prod(X0,X1)) > $o ) ).

tff(pred_def_239,type,
    single_valuedp: 
      !>[X0: $tType,X1: $tType] : ( fun(X0,fun(X1,$o)) > $o ) ).

tff(pred_def_240,type,
    total_on: 
      !>[X0: $tType] : ( ( set(X0) * set(product_prod(X0,X0)) ) > $o ) ).

tff(pred_def_241,type,
    trans: 
      !>[X0: $tType] : ( set(product_prod(X0,X0)) > $o ) ).

tff(pred_def_242,type,
    transp: 
      !>[X0: $tType] : ( fun(X0,fun(X0,$o)) > $o ) ).

tff(pred_def_243,type,
    algebr8660921524188924756oprime: 
      !>[X0: $tType] : ( ( X0 * X0 ) > $o ) ).

tff(pred_def_244,type,
    dvd_dvd: 
      !>[X0: $tType] : ( ( X0 * X0 ) > $o ) ).

tff(pred_def_245,type,
    summable: 
      !>[X0: $tType] : ( fun(nat,X0) > $o ) ).

tff(pred_def_246,type,
    sums: 
      !>[X0: $tType] : ( ( fun(nat,X0) * X0 ) > $o ) ).

tff(pred_def_247,type,
    is_empty: 
      !>[X0: $tType] : ( set(X0) > $o ) ).

tff(pred_def_248,type,
    is_singleton: 
      !>[X0: $tType] : ( set(X0) > $o ) ).

tff(pred_def_249,type,
    pairwise: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,$o)) * set(X0) ) > $o ) ).

tff(pred_def_250,type,
    topolo3448309680560233919inuous: 
      !>[X0: $tType,X1: $tType] : ( ( filter(X0) * fun(X0,X1) ) > $o ) ).

tff(pred_def_251,type,
    topological_monoseq: 
      !>[X0: $tType] : ( fun(nat,X0) > $o ) ).

tff(pred_def_252,type,
    topolo1002775350975398744n_open: 
      !>[X0: $tType] : ( set(X0) > $o ) ).

tff(pred_def_253,type,
    topolo7761053866217962861closed: 
      !>[X0: $tType] : ( set(X0) > $o ) ).

tff(pred_def_254,type,
    topolo2193935891317330818ompact: 
      !>[X0: $tType] : ( set(X0) > $o ) ).

tff(pred_def_255,type,
    topolo1966860045006549960nected: 
      !>[X0: $tType] : ( set(X0) > $o ) ).

tff(pred_def_256,type,
    topolo6863149650580417670ergent: 
      !>[X0: $tType] : ( fun(nat,X0) > $o ) ).

tff(pred_def_257,type,
    topolo3814608138187158403Cauchy: 
      !>[X0: $tType] : ( fun(nat,X0) > $o ) ).

tff(pred_def_258,type,
    topolo6688025880775521714ounded: 
      !>[X0: $tType] : ( set(X0) > $o ) ).

tff(pred_def_259,type,
    topolo6026614971017936543ous_on: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,X1) ) > $o ) ).

tff(pred_def_260,type,
    bi_total: 
      !>[X0: $tType,X1: $tType] : ( fun(X0,fun(X1,$o)) > $o ) ).

tff(pred_def_261,type,
    bi_unique: 
      !>[X0: $tType,X1: $tType] : ( fun(X0,fun(X1,$o)) > $o ) ).

tff(pred_def_262,type,
    transitive_acyclic: 
      !>[X0: $tType] : ( set(product_prod(X0,X0)) > $o ) ).

tff(pred_def_263,type,
    type_definition: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * fun(X1,X0) * set(X1) ) > $o ) ).

tff(pred_def_264,type,
    vEBT_V5917875025757280293ildren: ( nat * list(vEBT_VEBT) * nat ) > $o ).

tff(pred_def_265,type,
    vEBT_VEBT_membermima: ( vEBT_VEBT * nat ) > $o ).

tff(pred_def_266,type,
    vEBT_V5719532721284313246member: ( vEBT_VEBT * nat ) > $o ).

tff(pred_def_267,type,
    vEBT_VEBT_valid: ( vEBT_VEBT * nat ) > $o ).

tff(pred_def_268,type,
    vEBT_invar_vebt: ( vEBT_VEBT * nat ) > $o ).

tff(pred_def_269,type,
    vEBT_VEBT_minNull: vEBT_VEBT > $o ).

tff(pred_def_270,type,
    vEBT_VEBT_greater: ( option(nat) * option(nat) ) > $o ).

tff(pred_def_271,type,
    vEBT_VEBT_less: ( option(nat) * option(nat) ) > $o ).

tff(pred_def_272,type,
    vEBT_VEBT_lesseq: ( option(nat) * option(nat) ) > $o ).

tff(pred_def_273,type,
    vEBT_VEBT_max_in_set: ( set(nat) * nat ) > $o ).

tff(pred_def_274,type,
    vEBT_VEBT_min_in_set: ( set(nat) * nat ) > $o ).

tff(pred_def_275,type,
    vEBT_is_pred_in_set: ( set(nat) * nat * nat ) > $o ).

tff(pred_def_276,type,
    vEBT_is_succ_in_set: ( set(nat) * nat * nat ) > $o ).

tff(pred_def_277,type,
    accp: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,$o)) * X0 ) > $o ) ).

tff(pred_def_278,type,
    wf: 
      !>[X0: $tType] : ( set(product_prod(X0,X0)) > $o ) ).

tff(pred_def_279,type,
    member: 
      !>[X0: $tType] : ( ( X0 * set(X0) ) > $o ) ).

tff(pred_def_280,type,
    ':=': 
      !>[X0: $tType] : ( ( X0 * X0 ) > $o ) ).

tff(pred_def_281,type,
    iG166: 
      !>[X0: $tType] : ( ( X0 * X0 * set(X0) * set(X0) ) > $o ) ).

tff(pred_def_282,type,
    iG267: ( list(vEBT_VEBT) * nat * nat ) > $o ).

tff(pred_def_283,type,
    iG269: ( list(vEBT_VEBT) * nat * nat ) > $o ).

tff(pred_def_284,type,
    iG271: ( list(vEBT_VEBT) * nat * nat ) > $o ).

tff(pred_def_285,type,
    iG314: ( list(vEBT_VEBT) * nat * nat ) > $o ).

tff(pred_def_286,type,
    iG316: ( list(vEBT_VEBT) * nat * nat ) > $o ).

tff(pred_def_287,type,
    iG318: 
      !>[X0: $tType] : ( ( num * X0 * X0 ) > $o ) ).

tff(pred_def_288,type,
    iG319: 
      !>[X0: $tType] : ( ( num * X0 * X0 ) > $o ) ).

tff(pred_def_289,type,
    iG322: 
      !>[X0: $tType] : ( ( X0 * num * X0 ) > $o ) ).

tff(pred_def_290,type,
    iG323: 
      !>[X0: $tType] : ( ( X0 * num * X0 ) > $o ) ).

tff(pred_def_291,type,
    iG452: ( nat * $o ) > $o ).

tff(pred_def_292,type,
    iG453: ( nat * $o * $o ) > $o ).

tff(pred_def_293,type,
    iG520: ( list(vEBT_VEBT) * nat * nat ) > $o ).

tff(pred_def_294,type,
    iG521: ( nat * $o ) > $o ).

tff(pred_def_295,type,
    iG522: ( nat * $o * $o ) > $o ).

tff(pred_def_296,type,
    iG526: ( list(vEBT_VEBT) * nat * nat ) > $o ).

tff(pred_def_297,type,
    iG527: ( nat * $o ) > $o ).

tff(pred_def_298,type,
    iG528: ( nat * $o * $o ) > $o ).

tff(pred_def_299,type,
    iG532: ( list(vEBT_VEBT) * nat * nat ) > $o ).

tff(pred_def_300,type,
    iG533: ( nat * $o ) > $o ).

tff(pred_def_301,type,
    iG534: ( nat * $o * $o ) > $o ).

tff(pred_def_302,type,
    iG538: ( list(vEBT_VEBT) * nat * nat ) > $o ).

tff(pred_def_303,type,
    iG539: ( nat * nat * nat * list(vEBT_VEBT) ) > $o ).

tff(pred_def_304,type,
    iG540: ( nat * nat * nat * nat * list(vEBT_VEBT) ) > $o ).

tff(pred_def_305,type,
    iG541: ( nat * nat * nat * nat * list(vEBT_VEBT) ) > $o ).

tff(pred_def_306,type,
    iG542: ( nat * nat * nat * nat * list(vEBT_VEBT) ) > $o ).

tff(pred_def_307,type,
    iG543: ( nat * $o ) > $o ).

tff(pred_def_308,type,
    iG544: ( nat * $o * $o ) > $o ).

tff(pred_def_309,type,
    iG548: ( list(vEBT_VEBT) * nat * nat ) > $o ).

tff(pred_def_310,type,
    iG550: ( list(vEBT_VEBT) * nat * nat ) > $o ).

tff(pred_def_311,type,
    iG554: ( list(vEBT_VEBT) * nat * nat ) > $o ).

tff(pred_def_312,type,
    iG556: ( list(vEBT_VEBT) * nat * nat ) > $o ).

tff(pred_def_313,type,
    iG564: ( list(vEBT_VEBT) * nat * nat ) > $o ).

tff(pred_def_314,type,
    iG565: ( nat * nat * nat * list(vEBT_VEBT) ) > $o ).

tff(pred_def_315,type,
    iG566: ( nat * nat * nat * nat * list(vEBT_VEBT) ) > $o ).

tff(pred_def_316,type,
    iG567: ( nat * nat * nat * nat * list(vEBT_VEBT) ) > $o ).

tff(pred_def_317,type,
    iG568: ( nat * nat * nat * nat * list(vEBT_VEBT) ) > $o ).

tff(pred_def_318,type,
    iG569: ( nat * $o ) > $o ).

tff(pred_def_319,type,
    iG570: ( nat * $o * $o ) > $o ).

tff(pred_def_320,type,
    iG574: ( list(vEBT_VEBT) * nat * nat ) > $o ).

tff(pred_def_321,type,
    iG575: ( nat * nat * nat * list(vEBT_VEBT) ) > $o ).

tff(pred_def_322,type,
    iG576: ( nat * nat * nat * nat * list(vEBT_VEBT) ) > $o ).

tff(pred_def_323,type,
    iG577: ( nat * nat * nat * nat * list(vEBT_VEBT) ) > $o ).

tff(pred_def_324,type,
    iG578: ( nat * nat * nat * nat * list(vEBT_VEBT) ) > $o ).

tff(pred_def_325,type,
    iG579: ( nat * $o ) > $o ).

tff(pred_def_326,type,
    iG580: ( nat * $o * $o ) > $o ).

tff(pred_def_327,type,
    iG699: ( list(vEBT_VEBT) * nat * nat ) > $o ).

tff(pred_def_328,type,
    iG700: ( nat * nat * nat * list(vEBT_VEBT) ) > $o ).

tff(pred_def_329,type,
    iG701: ( nat * nat * nat * nat * list(vEBT_VEBT) ) > $o ).

tff(pred_def_330,type,
    iG702: ( nat * nat * nat * nat * list(vEBT_VEBT) ) > $o ).

tff(pred_def_331,type,
    iG703: ( nat * nat * nat * nat * list(vEBT_VEBT) ) > $o ).

tff(pred_def_332,type,
    iG704: ( nat * $o ) > $o ).

tff(pred_def_333,type,
    iG705: ( nat * $o * $o ) > $o ).

tff(pred_def_334,type,
    iG736: ( list(vEBT_VEBT) * nat * nat ) > $o ).

tff(pred_def_335,type,
    iG737: ( nat * $o ) > $o ).

tff(pred_def_336,type,
    iG738: ( nat * $o * $o ) > $o ).

tff(pred_def_337,type,
    iG744: ( list(vEBT_VEBT) * nat * nat ) > $o ).

tff(pred_def_338,type,
    iG745: ( nat * $o ) > $o ).

tff(pred_def_339,type,
    iG746: ( nat * $o * $o ) > $o ).

tff(pred_def_340,type,
    iG754: ( list(vEBT_VEBT) * nat * nat ) > $o ).

tff(pred_def_341,type,
    iG755: ( nat * nat * nat * list(vEBT_VEBT) ) > $o ).

tff(pred_def_342,type,
    iG756: ( nat * nat * nat * nat * list(vEBT_VEBT) ) > $o ).

tff(pred_def_343,type,
    iG757: ( nat * nat * nat * nat * list(vEBT_VEBT) ) > $o ).

tff(pred_def_344,type,
    iG758: ( nat * nat * nat * nat * list(vEBT_VEBT) ) > $o ).

tff(pred_def_345,type,
    iG759: ( nat * $o ) > $o ).

tff(pred_def_346,type,
    iG760: ( nat * $o * $o ) > $o ).

tff(pred_def_347,type,
    iG769: ( list(vEBT_VEBT) * nat * nat ) > $o ).

tff(pred_def_348,type,
    iG775: ( list(vEBT_VEBT) * nat * nat ) > $o ).

tff(pred_def_349,type,
    iG777: ( list(vEBT_VEBT) * nat * nat ) > $o ).

tff(pred_def_350,type,
    iG783: ( list(vEBT_VEBT) * nat * nat ) > $o ).

tff(pred_def_351,type,
    iG785: ( list(vEBT_VEBT) * nat * nat ) > $o ).

tff(pred_def_352,type,
    iG788: ( int * int * int ) > $o ).

tff(pred_def_353,type,
    iG789: ( int * int * int ) > $o ).

tff(pred_def_354,type,
    iG811: 
      !>[X0: $tType] : ( ( num * X0 * X0 ) > $o ) ).

tff(pred_def_355,type,
    iG812: 
      !>[X0: $tType] : ( ( num * X0 * X0 ) > $o ) ).

tff(pred_def_356,type,
    iG825: 
      !>[X0: $tType] : ( ( X0 * num * X0 ) > $o ) ).

tff(pred_def_357,type,
    iG826: 
      !>[X0: $tType] : ( ( X0 * num * X0 ) > $o ) ).

tff(pred_def_358,type,
    iG1111: ( real * real * real ) > $o ).

tff(pred_def_359,type,
    iG1184: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) * list(X0) * list(X0) ) > $o ) ).

tff(pred_def_360,type,
    iG1259: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > $o ) ).

tff(pred_def_361,type,
    iG1358: ( nat * nat * list(vEBT_VEBT) * nat * nat ) > $o ).

tff(pred_def_362,type,
    sP1363: ( nat * nat * list(vEBT_VEBT) * nat * nat ) > $o ).

tff(pred_def_363,type,
    sP1364: ( vEBT_VEBT * list(vEBT_VEBT) * nat ) > $o ).

tff(pred_def_364,type,
    sP1365: ( nat * nat * list(vEBT_VEBT) * nat * nat ) > $o ).

tff(pred_def_365,type,
    sP1366: ( vEBT_VEBT * list(vEBT_VEBT) * nat ) > $o ).

tff(pred_def_366,type,
    sP1367: fun(int,$o) > $o ).

tff(pred_def_367,type,
    sP1368: 
      !>[X0: $tType] : ( ( X0 * X0 * X0 ) > $o ) ).

tff(pred_def_368,type,
    sP1369: 
      !>[X0: $tType] : ( ( X0 * X0 * X0 ) > $o ) ).

tff(pred_def_369,type,
    sP1370: 
      !>[X0: $tType] : ( ( X0 * X0 * X0 ) > $o ) ).

tff(pred_def_370,type,
    sP1371: ( fun(nat,$o) * nat * nat ) > $o ).

tff(pred_def_371,type,
    sP1372: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * set(X1) ) > $o ) ).

tff(pred_def_372,type,
    sP1373: 
      !>[X0: $tType] : ( ( fun(set(X0),$o) * set(X0) ) > $o ) ).

tff(pred_def_373,type,
    sP1374: 
      !>[X0: $tType] : ( ( set(X0) * set(X0) * X0 ) > $o ) ).

tff(pred_def_374,type,
    sP1375: 
      !>[X0: $tType] : ( ( set(X0) * set(X0) * X0 ) > $o ) ).

tff(pred_def_375,type,
    sP1376: 
      !>[X0: $tType,X1: $tType] : ( ( option(X0) * option(X1) * fun(option(X1),fun(option(X0),$o)) ) > $o ) ).

tff(pred_def_376,type,
    sP1377: ( nat * fun(nat,$o) * nat ) > $o ).

tff(pred_def_377,type,
    sP1378: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,filter(X1)) ) > $o ) ).

tff(pred_def_378,type,
    sP1379: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,fun(X1,$o)) * set(X1) * set(X0) ) > $o ) ).

tff(pred_def_379,type,
    sP1380: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * X0 * list(X0) ) > $o ) ).

tff(pred_def_380,type,
    sP1381: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * X0 * list(X0) ) > $o ) ).

tff(pred_def_381,type,
    sP1382: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * set(X0) * set(X1) * set(X1) ) > $o ) ).

tff(pred_def_382,type,
    sP1383: ( int * int * product_prod(int,int) ) > $o ).

tff(pred_def_383,type,
    sP1384: ( int * int * product_prod(int,int) ) > $o ).

tff(pred_def_384,type,
    sP1385: ( int * int * product_prod(int,int) ) > $o ).

tff(pred_def_385,type,
    sP1386: ( fun(nat,int) * nat * nat ) > $o ).

tff(pred_def_386,type,
    sP1387: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * fun(X1,$o) ) > $o ) ).

tff(pred_def_387,type,
    sP1388: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,filter(X1)) ) > $o ) ).

tff(pred_def_388,type,
    sP1389: 
      !>[X0: $tType] : ( set(filter(X0)) > $o ) ).

tff(pred_def_389,type,
    sP1390: 
      !>[X0: $tType] : ( ( X0 * X0 * set(product_prod(X0,X0)) ) > $o ) ).

tff(pred_def_390,type,
    sP1391: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,$o)) * $o * list(X0) ) > $o ) ).

tff(pred_def_391,type,
    sP1392: ( real * nat * real ) > $o ).

tff(pred_def_392,type,
    sP1393: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * fun(X1,$o) ) > $o ) ).

tff(pred_def_393,type,
    sP1394: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,$o)) * set(product_prod(X0,X0)) ) > $o ) ).

tff(pred_def_394,type,
    sP1395: 
      !>[X0: $tType] : ( ( X0 * X0 * set(product_prod(X0,X0)) ) > $o ) ).

tff(pred_def_395,type,
    sP1396: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * fun(X1,$o) ) > $o ) ).

tff(pred_def_396,type,
    sP1397: 
      !>[X0: $tType,X1: $tType] : ( ( list(X0) * list(X1) * set(product_prod(X0,X1)) ) > $o ) ).

tff(pred_def_397,type,
    sP1398: 
      !>[X0: $tType] : ( ( fun(real,X0) * real * real ) > $o ) ).

tff(pred_def_398,type,
    sP1399: 
      !>[X0: $tType] : ( ( fun(real,X0) * real * real ) > $o ) ).

tff(pred_def_399,type,
    sP1400: 
      !>[X0: $tType] : ( ( fun(real,X0) * real * real ) > $o ) ).

tff(pred_def_400,type,
    sP1401: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * X0 * X0 ) > $o ) ).

tff(pred_def_401,type,
    sP1402: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * X0 * X0 ) > $o ) ).

tff(pred_def_402,type,
    sP1403: ( vEBT_VEBT * extended_enat * vEBT_VEBT ) > $o ).

tff(pred_def_403,type,
    sP1404: ( vEBT_VEBT * extended_enat * vEBT_VEBT ) > $o ).

tff(pred_def_404,type,
    sP1405: ( vEBT_VEBT * extended_enat * vEBT_VEBT ) > $o ).

tff(pred_def_405,type,
    sP1406: 
      !>[X0: $tType] : ( ( X0 * fun(X0,X0) * fun(X0,$o) ) > $o ) ).

tff(pred_def_406,type,
    sP1407: 
      !>[X0: $tType] : $o ).

tff(pred_def_407,type,
    sP1408: 
      !>[X0: $tType] : ( ( X0 * fun(X0,X0) ) > $o ) ).

tff(pred_def_408,type,
    sP1409: 
      !>[X0: $tType] : $o ).

tff(pred_def_409,type,
    sP1410: 
      !>[X0: $tType] : ( set(X0) > $o ) ).

tff(pred_def_410,type,
    sP1411: 
      !>[X0: $tType] : $o ).

tff(f1,axiom,
    summary2 = summary,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_0__092_060open_062summary_A_061_Asummary_H_092_060close_062) ).

tff(f3,axiom,
    info = aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),aa(nat,product_prod(nat,nat),aa(nat,fun(nat,product_prod(nat,nat)),product_Pair(nat,nat),mi),ma)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_2_infsplit) ).

tff(f8,axiom,
    treeList2 = treeList,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_7__092_060open_062treeList_A_061_AtreeList_H_092_060close_062) ).

tff(f245,axiom,
    ( ( sa = vEBT_Node(info,deg,treeList,summary) )
    & ( deg = aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),na),m) )
    & ( aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),treeList) = aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),m) )
    & vEBT_invar_vebt(summary,m)
    & ! [X0: vEBT_VEBT] :
        ( member(vEBT_VEBT,X0,aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),treeList))
       => vEBT_invar_vebt(X0,na) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_244_sprop1) ).

tff(f9915,conjecture,
    sa = vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),aa(nat,product_prod(nat,nat),aa(nat,fun(nat,product_prod(nat,nat)),product_Pair(nat,nat),mi),ma)),deg,treeList2,summary2),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0) ).

tff(f9916,negated_conjecture,
    ( ( ~ sa ) = vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),aa(nat,product_prod(nat,nat),aa(nat,fun(nat,product_prod(nat,nat)),product_Pair(nat,nat),mi),ma)),deg,treeList2,summary2) ),
    inference(negated_conjecture,[status(cth)],[f9915]) ).

tff(f19939,plain,
    vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),aa(nat,product_prod(nat,nat),aa(nat,fun(nat,product_prod(nat,nat)),product_Pair(nat,nat),mi),ma)),deg,treeList2,summary2) != sa,
    inference(flattening,[],[f9916]) ).

tff(f20398,plain,
    ( ( sa = vEBT_Node(info,deg,treeList,summary) )
    & ( deg = aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),na),m) )
    & ( aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),treeList) = aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),m) )
    & vEBT_invar_vebt(summary,m)
    & ! [X0: vEBT_VEBT] :
        ( vEBT_invar_vebt(X0,na)
        | ~ member(vEBT_VEBT,X0,aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),treeList)) ) ),
    inference(ennf_transformation,[],[f245]) ).

tff(f28423,plain,
    vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),aa(nat,product_prod(nat,nat),aa(nat,fun(nat,product_prod(nat,nat)),product_Pair(nat,nat),mi),ma)),deg,treeList2,summary2) != sa,
    inference(cnf_transformation,[],[f19939]) ).

tff(f28500,plain,
    sa = vEBT_Node(info,deg,treeList,summary),
    inference(cnf_transformation,[],[f20398]) ).

tff(f28512,plain,
    info = aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),aa(nat,product_prod(nat,nat),aa(nat,fun(nat,product_prod(nat,nat)),product_Pair(nat,nat),mi),ma)),
    inference(cnf_transformation,[],[f3]) ).

tff(f28520,plain,
    summary2 = summary,
    inference(cnf_transformation,[],[f1]) ).

tff(f28528,plain,
    treeList2 = treeList,
    inference(cnf_transformation,[],[f8]) ).

tff(f37484,plain,
    sa != vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),aa(nat,product_prod(nat,nat),aa(nat,fun(nat,product_prod(nat,nat)),product_Pair(nat,nat),mi),ma)),deg,treeList,summary),
    inference(definition_unfolding,[],[f28423,f28528,f28520]) ).

tff(f39659,plain,
    sa != vEBT_Node(info,deg,treeList,summary),
    inference(forward_demodulation,[],[f37484,f28512]) ).

tff(f39660,plain,
    $false,
    inference(forward_subsumption_resolution,[],[f39659,f28500]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : ITP278_4 : TPTP v9.3.1. Bugfixed v9.3.0.
% 0.00/0.08  % Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.17/0.46  % Computer : n011.cluster.edu
% 0.17/0.46  % Model    : x86_64 x86_64
% 0.17/0.46  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.46  % Memory   : 8046.5625MB
% 0.17/0.46  % OS       : Linux 6.8.0-71-generic
% 0.17/0.46  % CPULimit : 300
% 0.17/0.46  % WCLimit  : 300
% 0.17/0.46  % DateTime : Sun Sep 27 12:47:00 UTC 2026
% 0.21/0.47  % CPUTime  : 
% 0.21/0.47  Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.21/0.51  Running first-order theorem proving
% 0.21/0.51  Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 21.54/4.56  % (2360843)Detected formulas, will run a generic FOF schedule.
% 21.54/4.56  % (2360853)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2516124420:s2a=on:i=139:gtg=position_2992 on theBenchmark for (2992ds/139Mi)
% 21.54/4.56  % (2360853)Instruction limit reached! 
% 21.54/4.56  % (2360853)------------------------------
% 21.54/4.56  % (2360853)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.54/4.56  % (2360853)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.54/4.56  % (2360853)CaDiCaL version: 2.1.3
% 21.54/4.56  % (2360853)Termination reason: Instruction limit
% 21.54/4.56  % (2360853)Termination phase: Property scanning
% 21.54/4.56  % (2360853)Time elapsed: 0.031 s
% 21.54/4.56  % (2360853)Peak memory usage: 97 MB
% 21.54/4.56  % (2360853)Instructions burned: 141 (million)
% 21.54/4.56  % (2360851)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=225809166:i=109:sd=1:ins=1:gsp=on:ss=axioms_2992 on theBenchmark for (2992ds/109Mi)
% 21.54/4.56  % (2360849)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=702082071:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2992 on theBenchmark for (2992ds/134677Mi)
% 21.54/4.56  % (2360850)lrs+1010_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:prc=on:sos=all:bsr=unit_only:sac=on:random_seed=1561499553:i=141695:sd=1:nm=32:gsp=on:ss=included_2992 on theBenchmark for (2992ds/141695Mi)
% 21.54/4.56  % (2360854)dis-21_1_sil=8000:lcm=predicate:random_seed=1324678049:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2992 on theBenchmark for (2992ds/129Mi)
% 21.54/4.56  % (2360848)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=2837148925:i=141193_2992 on theBenchmark for (2992ds/141193Mi)
% 21.54/4.56  % (2360852)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1479366638:i=119:av=off:ss=axioms_2992 on theBenchmark for (2992ds/119Mi)
% 21.54/4.56  % (2360851)Instruction limit reached! 
% 21.54/4.56  % (2360851)------------------------------
% 21.54/4.56  % (2360851)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.54/4.56  % (2360851)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.54/4.56  % (2360851)CaDiCaL version: 2.1.3
% 21.54/4.56  % (2360851)Termination reason: Instruction limit
% 21.54/4.56  % (2360851)Termination phase: Initialization
% 21.54/4.56  % (2360851)Time elapsed: 0.087 s
% 21.54/4.56  % (2360851)Peak memory usage: 100 MB
% 21.54/4.56  % (2360851)Instructions burned: 109 (million)
% 21.54/4.56  % (2360852)Instruction limit reached! 
% 21.54/4.56  % (2360852)------------------------------
% 21.54/4.56  % (2360852)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.54/4.56  % (2360852)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.54/4.56  % (2360852)CaDiCaL version: 2.1.3
% 21.54/4.56  % (2360852)Termination reason: Instruction limit
% 21.54/4.56  % (2360852)Termination phase: Initialization
% 21.54/4.56  % (2360852)Time elapsed: 0.104 s
% 21.54/4.56  % (2360852)Peak memory usage: 100 MB
% 21.54/4.56  % (2360852)Instructions burned: 119 (million)
% 21.54/4.56  % (2360854)Instruction limit reached! 
% 21.54/4.56  % (2360854)------------------------------
% 21.54/4.56  % (2360854)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.54/4.56  % (2360854)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.54/4.56  % (2360854)CaDiCaL version: 2.1.3
% 21.54/4.56  % (2360854)Termination reason: Instruction limit
% 21.54/4.56  % (2360854)Termination phase: Initialization
% 21.54/4.56  % (2360854)Time elapsed: 0.112 s
% 21.54/4.56  % (2360854)Peak memory usage: 100 MB
% 21.54/4.56  % (2360854)Instructions burned: 129 (million)
% 21.54/4.56  % (2360857)lrs+10_1_sil=8000:sp=occurrence:random_seed=1842001300:i=285:sd=3:ss=axioms:sgt=8_2990 on theBenchmark for (2990ds/285Mi)
% 21.54/4.56  % (2360857)Instruction limit reached! 
% 21.54/4.56  % (2360857)------------------------------
% 21.54/4.56  % (2360857)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.54/4.56  % (2360857)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.54/4.56  % (2360857)CaDiCaL version: 2.1.3
% 21.54/4.56  % (2360857)Termination reason: Instruction limit
% 21.54/4.56  % (2360857)Termination phase: Initialization
% 21.54/4.56  % (2360857)Time elapsed: 0.132 s
% 21.54/4.56  % (2360857)Peak memory usage: 104 MB
% 21.54/4.56  % (2360857)Instructions burned: 286 (million)
% 26.43/5.34  % (2360865)lrs+10_1_sil=32000:urr=on:br=off:random_seed=3313861031:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2989 on theBenchmark for (2989ds/157Mi)
% 26.43/5.34  % (2360867)dis+10_5:1_slsqr=1,4:sil=8000:fde=unused:erd=off:urr=full:fd=off:s2agt=8:br=off:slsq=on:random_seed=1279207259:s2a=on:i=248:s2at=1.23:gtg=position_2988 on theBenchmark for (2988ds/248Mi)
% 26.43/5.34  % (2360866)lrs+1011_1_sil=32000:sp=occurrence:random_seed=4131749974:i=325:sd=1:ss=axioms:sgt=32_2988 on theBenchmark for (2988ds/325Mi)
% 26.43/5.34  % (2360865)Instruction limit reached! 
% 26.43/5.34  % (2360865)------------------------------
% 26.43/5.34  % (2360865)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 26.43/5.34  % (2360865)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.43/5.34  % (2360865)CaDiCaL version: 2.1.3
% 26.43/5.34  % (2360865)Termination reason: Instruction limit
% 26.43/5.34  % (2360865)Termination phase: Property scanning
% 26.43/5.34  % (2360865)Time elapsed: 0.119 s
% 26.43/5.34  % (2360865)Peak memory usage: 97 MB
% 26.43/5.34  % (2360865)Instructions burned: 157 (million)
% 26.43/5.34  % (2360869)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=3526025972:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2986 on theBenchmark for (2986ds/294Mi)
% 26.43/5.34  % (2360867)Instruction limit reached! 
% 26.43/5.34  % (2360867)------------------------------
% 26.43/5.34  % (2360867)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 26.43/5.34  % (2360867)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.43/5.34  % (2360867)CaDiCaL version: 2.1.3
% 26.43/5.34  % (2360867)Termination reason: Instruction limit
% 26.43/5.34  % (2360867)Termination phase: Property scanning
% 26.43/5.34  % (2360867)Time elapsed: 0.187 s
% 26.43/5.34  % (2360867)Peak memory usage: 97 MB
% 26.43/5.34  % (2360867)Instructions burned: 248 (million)
% 26.43/5.34  % (2360869)Instruction limit reached! 
% 26.43/5.34  % (2360869)------------------------------
% 26.43/5.34  % (2360869)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 26.43/5.34  % (2360869)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.43/5.34  % (2360869)CaDiCaL version: 2.1.3
% 26.43/5.34  % (2360869)Termination reason: Instruction limit
% 26.43/5.34  % (2360869)Termination phase: Initialization
% 26.43/5.34  % (2360869)Time elapsed: 0.135 s
% 26.43/5.34  % (2360869)Peak memory usage: 104 MB
% 26.43/5.34  % (2360869)Instructions burned: 294 (million)
% 26.43/5.34  % (2360866)Instruction limit reached! 
% 26.43/5.34  % (2360866)------------------------------
% 26.43/5.34  % (2360866)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 26.43/5.34  % (2360866)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.43/5.34  % (2360866)CaDiCaL version: 2.1.3
% 26.43/5.34  % (2360866)Termination reason: Instruction limit
% 26.43/5.34  % (2360866)Termination phase: Initialization
% 26.43/5.34  % (2360866)Time elapsed: 0.289 s
% 26.43/5.34  % (2360866)Peak memory usage: 105 MB
% 26.43/5.34  % (2360866)Instructions burned: 325 (million)
% 26.43/5.34  % (2360873)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=2548164225:i=2350_2985 on theBenchmark for (2985ds/2350Mi)
% 26.43/5.34  % (2360875)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=3201891809:cts=off:i=113:fsr=off:ss=included:sgt=4_2984 on theBenchmark for (2984ds/113Mi)
% 26.43/5.34  % (2360876)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=2851898833:i=127:av=off:fsr=off:sup=off_2983 on theBenchmark for (2983ds/127Mi)
% 26.43/5.34  % (2360876)Instruction limit reached! 
% 26.43/5.34  % (2360876)------------------------------
% 26.43/5.34  % (2360876)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 26.43/5.34  % (2360876)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.43/5.34  % (2360876)CaDiCaL version: 2.1.3
% 26.43/5.34  % (2360876)Termination reason: Instruction limit
% 26.43/5.34  % (2360876)Termination phase: Initialization
% 26.43/5.34  % (2360876)Time elapsed: 0.059 s
% 26.43/5.34  % (2360876)Peak memory usage: 100 MB
% 26.43/5.34  % (2360876)Instructions burned: 127 (million)
% 26.43/5.34  % (2360877)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=2935588331:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2983 on theBenchmark for (2983ds/114Mi)
% 26.43/5.34  % (2360875)Instruction limit reached! 
% 26.43/5.34  % (2360875)------------------------------
% 26.43/5.34  % (2360875)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 34.45/6.37  % (2360875)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.45/6.37  % (2360875)CaDiCaL version: 2.1.3
% 34.45/6.37  % (2360875)Termination reason: Instruction limit
% 34.45/6.37  % (2360875)Termination phase: Initialization
% 34.45/6.37  % (2360875)Time elapsed: 0.100 s
% 34.45/6.37  % (2360875)Peak memory usage: 100 MB
% 34.45/6.37  % (2360875)Instructions burned: 114 (million)
% 34.45/6.37  % (2360877)Instruction limit reached! 
% 34.45/6.37  % (2360877)------------------------------
% 34.45/6.37  % (2360877)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 34.45/6.37  % (2360877)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.45/6.37  % (2360877)CaDiCaL version: 2.1.3
% 34.45/6.37  % (2360877)Termination reason: Instruction limit
% 34.45/6.37  % (2360877)Termination phase: Property scanning
% 34.45/6.37  % (2360877)Time elapsed: 0.087 s
% 34.45/6.37  % (2360877)Peak memory usage: 97 MB
% 34.45/6.37  % (2360877)Instructions burned: 114 (million)
% 34.45/6.37  % (2360881)lrs+10_1_sil=8000:sp=occurrence:random_seed=311572356:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2980 on theBenchmark for (2980ds/907Mi)
% 34.45/6.37  % (2360883)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=3842709270:i=437:sd=1:aac=none:ss=included_2980 on theBenchmark for (2980ds/437Mi)
% 34.45/6.37  % (2360884)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=2540071478:i=5202:ss=axioms:sgt=16_2979 on theBenchmark for (2979ds/5202Mi)
% 34.45/6.37  % (2360881)Instruction limit reached! 
% 34.45/6.37  % (2360881)------------------------------
% 34.45/6.37  % (2360881)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 34.45/6.37  % (2360881)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.45/6.37  % (2360881)CaDiCaL version: 2.1.3
% 34.45/6.37  % (2360881)Termination reason: Instruction limit
% 34.45/6.37  % (2360881)Termination phase: SInE selection
% 34.45/6.37  % (2360881)Time elapsed: 0.325 s
% 34.45/6.37  % (2360881)Peak memory usage: 107 MB
% 34.45/6.37  % (2360881)Instructions burned: 909 (million)
% 34.45/6.37  % (2360883)Instruction limit reached! 
% 34.45/6.37  % (2360883)------------------------------
% 34.45/6.37  % (2360883)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 34.45/6.37  % (2360883)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.45/6.37  % (2360883)CaDiCaL version: 2.1.3
% 34.45/6.37  % (2360883)Termination reason: Instruction limit
% 34.45/6.37  % (2360883)Termination phase: Property scanning
% 34.45/6.37  % (2360883)Time elapsed: 0.369 s
% 34.45/6.37  % (2360883)Peak memory usage: 107 MB
% 34.45/6.37  % (2360883)Instructions burned: 437 (million)
% 34.45/6.37  % (2360891)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=580690984:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2975 on theBenchmark for (2975ds/134Mi)
% 34.45/6.37  % (2360891)Instruction limit reached! 
% 34.45/6.37  % (2360891)------------------------------
% 34.45/6.37  % (2360891)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 34.45/6.37  % (2360891)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.45/6.37  % (2360891)CaDiCaL version: 2.1.3
% 34.45/6.37  % (2360891)Termination reason: Instruction limit
% 34.45/6.37  % (2360891)Termination phase: SInE selection
% 34.45/6.37  % (2360891)Time elapsed: 0.071 s
% 34.45/6.37  % (2360891)Peak memory usage: 97 MB
% 34.45/6.37  % (2360891)Instructions burned: 134 (million)
% 34.45/6.37  % (2360892)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=1828390174:st=8:i=592:sd=3:ep=RST:ss=axioms_2973 on theBenchmark for (2973ds/592Mi)
% 34.45/6.37  % (2360894)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=1554318110:st=3:i=13193:sd=3:ss=axioms_2972 on theBenchmark for (2972ds/13193Mi)
% 34.45/6.37  % (2360892)Instruction limit reached! 
% 34.45/6.37  % (2360892)------------------------------
% 34.45/6.37  % (2360892)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 34.45/6.37  % (2360892)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.45/6.37  % (2360892)CaDiCaL version: 2.1.3
% 34.45/6.37  % (2360892)Termination reason: Instruction limit
% 34.45/6.37  % (2360892)Termination phase: Property scanning
% 34.45/6.37  % (2360892)Time elapsed: 0.483 s
% 34.45/6.37  % (2360892)Peak memory usage: 107 MB
% 34.45/6.37  % (2360892)Instructions burned: 592 (million)
% 34.45/6.37  % (2360850)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 34.45/6.37  % (2360898)lrs+1666_7_slsqr=4,1:sil=8000:plsq=on:plsqc=1:sos=on:urr=on:plsql=on:rp=on:alpa=false:sac=on:slsq=on:random_seed=3433790941:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2966 on theBenchmark for (2966ds/125Mi)
% 55.04/9.21  % (2360898)Instruction limit reached! 
% 55.04/9.21  % (2360898)------------------------------
% 55.04/9.21  % (2360898)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 55.04/9.21  % (2360898)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 55.04/9.21  % (2360898)CaDiCaL version: 2.1.3
% 55.04/9.21  % (2360898)Termination reason: Instruction limit
% 55.04/9.21  % (2360898)Termination phase: Property scanning
% 55.04/9.21  % (2360898)Time elapsed: 0.092 s
% 55.04/9.21  % (2360898)Peak memory usage: 97 MB
% 55.04/9.21  % (2360898)Instructions burned: 126 (million)
% 55.04/9.21  % Exception at run slice level
% 55.04/9.21  User error: GNN currently only supports monomorphic FOL.
% 55.04/9.21  % (2360873)Instruction limit reached! 
% 55.04/9.21  % (2360873)------------------------------
% 55.04/9.21  % (2360873)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 55.04/9.21  % (2360873)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 55.04/9.21  % (2360873)CaDiCaL version: 2.1.3
% 55.04/9.21  % (2360873)Termination reason: Instruction limit
% 55.04/9.21  % (2360873)Termination phase: Property scanning
% 55.04/9.21  % (2360873)Time elapsed: 2.099 s
% 55.04/9.21  % (2360873)Peak memory usage: 126 MB
% 55.04/9.21  % (2360873)Instructions burned: 2350 (million)
% 55.04/9.21  % (2360902)lrs+10_1_sil=16000:plsq=on:plsqc=1:plsqr=32,1:sos=on:lcm=reverse:fd=off:newcnf=on:random_seed=2382174366:i=141:sd=1:gsp=on:sup=off:ss=axioms:sgt=8_2961 on theBenchmark for (2961ds/141Mi)
% 55.04/9.21  % (2360901)lrs+10_1024_to=lpo:sil=8000:tgt=full:sp=arity:slsq=on:random_seed=2958490892:i=134:gtgl=5:slsql=off:gtg=exists_sym_2962 on theBenchmark for (2962ds/134Mi)
% 55.04/9.21  % Exception at run slice level
% 55.04/9.21  User error: GNN currently only supports monomorphic FOL.
% 55.04/9.21  % Exception at run slice level
% 55.04/9.21  User error: GNN currently only supports monomorphic FOL.
% 55.04/9.21  % (2360901)Instruction limit reached! 
% 55.04/9.21  % (2360901)------------------------------
% 55.04/9.21  % (2360901)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 55.04/9.21  % (2360901)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 55.04/9.21  % (2360901)CaDiCaL version: 2.1.3
% 55.04/9.21  % (2360901)Termination reason: Instruction limit
% 55.04/9.21  % (2360901)Termination phase: Property scanning
% 55.04/9.21  % (2360901)Time elapsed: 0.096 s
% 55.04/9.21  % (2360901)Peak memory usage: 97 MB
% 55.04/9.21  % (2360901)Instructions burned: 134 (million)
% 55.04/9.21  % (2360902)Instruction limit reached! 
% 55.04/9.21  % (2360902)------------------------------
% 55.04/9.21  % (2360902)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 55.04/9.21  % (2360902)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 55.04/9.21  % (2360902)CaDiCaL version: 2.1.3
% 55.04/9.21  % (2360902)Termination reason: Instruction limit
% 55.04/9.21  % (2360902)Termination phase: Property scanning
% 55.04/9.21  % (2360902)Time elapsed: 0.121 s
% 55.04/9.21  % (2360902)Peak memory usage: 99 MB
% 55.04/9.21  % (2360902)Instructions burned: 141 (million)
% 55.04/9.21  % (2360903)lrs+1011_1_sil=8000:plsq=on:sp=occurrence:fs=off:random_seed=369121250:i=431:sd=1:fsr=off:sup=off:ss=axioms:sgt=64_2961 on theBenchmark for (2961ds/431Mi)
% 55.04/9.21  % Exception at run slice level
% 55.04/9.21  User error: GNN currently only supports monomorphic FOL.
% 55.04/9.21  % (2360906)lrs+1010_1_ncem=casc2026/models/loop6.pt:sil=64000:tgt=full:npcc=on:prc=on:urr=ec_only:bsr=on:fd=preordered:gs=on:sac=on:newcnf=on:random_seed=1548156555:i=6060:aac=none:ins=25_2959 on theBenchmark for (2959ds/6060Mi)
% 55.04/9.21  % (2360907)lrs+10_16_anc=all:slsqr=32,1:sil=8000:avsql=on:sp=unary_frequency:lcm=predicate:urr=full:rp=on:br=off:slsqc=4:flr=on:sac=on:slsq=on:avsqc=1:random_seed=4087099604:avsq=on:s2a=on:i=150:kws=precedence:nicw=on:gsp=on:rawr=on_2958 on theBenchmark for (2958ds/150Mi)
% 55.04/9.21  % (2360909)lrs+1010_1_ncem=casc2026/models/loop8.pt:sil=64000:tgt=ground:npcc=on:sp=arity:urr=on:random_seed=1292231120:i=14155:bd=all_2958 on theBenchmark for (2958ds/14155Mi)
% 55.04/9.21  % (2360911)lrs+10_1024_sil=16000:plsq=on:plsqr=32,1:sos=all:fs=off:gs=on:newcnf=on:random_seed=4131465297:i=667:av=off:fsr=off_2958 on theBenchmark for (2958ds/667Mi)
% 55.04/9.21  % (2360907)Instruction limit reached! 
% 69.06/11.23  % (2360907)------------------------------
% 69.06/11.23  % (2360907)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 69.06/11.23  % (2360907)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 69.06/11.23  % (2360907)CaDiCaL version: 2.1.3
% 69.06/11.23  % (2360907)Termination reason: Instruction limit
% 69.06/11.23  % (2360907)Termination phase: Initialization
% 69.06/11.23  % (2360907)Time elapsed: 0.128 s
% 69.06/11.23  % (2360907)Peak memory usage: 101 MB
% 69.06/11.23  % (2360907)Instructions burned: 150 (million)
% 69.06/11.23  % (2360912)ott-1011_3:1_anc=all_dependent:to=lpo:sil=8000:drc=ordering:sas=cadical:fdtod=off:sp=reverse_frequency:spb=goal_then_units:urr=full:lftc=20:newcnf=on:random_seed=3452584506:s2a=on:i=185:s2at=1.8:fdi=4_2957 on theBenchmark for (2957ds/185Mi)
% 69.06/11.23  % (2360903)Instruction limit reached! 
% 69.06/11.23  % (2360903)------------------------------
% 69.06/11.23  % (2360903)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 69.06/11.23  % (2360903)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 69.06/11.23  % (2360903)CaDiCaL version: 2.1.3
% 69.06/11.24  % (2360903)Termination reason: Instruction limit
% 69.06/11.24  % (2360903)Termination phase: Property scanning
% 69.06/11.24  % (2360903)Time elapsed: 0.367 s
% 69.06/11.24  % (2360903)Peak memory usage: 107 MB
% 69.06/11.24  % (2360903)Instructions burned: 432 (million)
% 69.06/11.24  % (2360912)Instruction limit reached! 
% 69.06/11.24  % (2360912)------------------------------
% 69.06/11.24  % (2360912)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 69.06/11.24  % (2360912)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 69.06/11.24  % (2360912)CaDiCaL version: 2.1.3
% 69.06/11.24  % (2360912)Termination reason: Instruction limit
% 69.06/11.24  % (2360912)Termination phase: SInE selection
% 69.06/11.24  % (2360912)Time elapsed: 0.163 s
% 69.06/11.24  % (2360912)Peak memory usage: 96 MB
% 69.06/11.24  % (2360912)Instructions burned: 185 (million)
% 69.06/11.24  % (2360918)dis+1010_14_anc=all:to=lpo:sil=8000:sp=arity:slsq=on:random_seed=3326516077:i=193:ins=10:fsr=off:ss=axioms:fsd=on_2955 on theBenchmark for (2955ds/193Mi)
% 69.06/11.24  % (2360920)dis+1011_7_sil=8000:sp=occurrence:sos=all:fd=off:random_seed=3515610294:st=5.3:i=4850:sd=4:av=off:sup=off:ss=included:sgt=16_2954 on theBenchmark for (2954ds/4850Mi)
% 69.06/11.24  % (2360918)Instruction limit reached! 
% 69.06/11.24  % (2360918)------------------------------
% 69.06/11.24  % (2360918)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 69.06/11.24  % (2360918)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 69.06/11.24  % (2360918)CaDiCaL version: 2.1.3
% 69.06/11.24  % (2360918)Termination reason: Instruction limit
% 69.06/11.24  % (2360918)Termination phase: Initialization
% 69.06/11.24  % (2360918)Time elapsed: 0.170 s
% 69.06/11.24  % (2360918)Peak memory usage: 102 MB
% 69.06/11.24  % (2360918)Instructions burned: 193 (million)
% 69.06/11.24  % (2360921)lrs+1011_1_ncem=casc2026/models/loop8.pt:sil=32000:tgt=ground:npcc=on:sp=const_frequency:acc=on:urr=on:random_seed=954286338:i=12111:sd=1:ss=included_2953 on theBenchmark for (2953ds/12111Mi)
% 69.06/11.24  % Exception at run slice level
% 69.06/11.24  User error: GNN currently only supports monomorphic FOL.
% 69.06/11.24  % (2360911)Instruction limit reached! 
% 69.06/11.24  % (2360911)------------------------------
% 69.06/11.24  % (2360911)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 69.06/11.24  % (2360911)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 69.06/11.24  % (2360911)CaDiCaL version: 2.1.3
% 69.06/11.24  % (2360911)Termination reason: Instruction limit
% 69.06/11.24  % (2360911)Termination phase: NewCNF
% 69.06/11.24  % (2360911)Time elapsed: 0.557 s
% 69.06/11.24  % (2360911)Peak memory usage: 114 MB
% 69.06/11.24  % (2360911)Instructions burned: 667 (million)
% 69.06/11.24  % (2360924)lrs-11_32_anc=all:sil=8000:spb=goal_then_units:sac=on:random_seed=3544529265:i=319:kws=precedence:fsr=off_2950 on theBenchmark for (2950ds/319Mi)
% 69.06/11.24  % (2360926)dis+2_1024_sil=8000:sp=reverse_arity:sos=on:lcm=reverse:sac=on:random_seed=3010895624:i=2064:ep=RST_2950 on theBenchmark for (2950ds/2064Mi)
% 69.06/11.24  % (2360927)dis-1011_128_sil=32000:random_seed=2963344777:i=3706:ep=RST:av=off_2949 on theBenchmark for (2949ds/3706Mi)
% 69.06/11.24  % (2360924)Instruction limit reached! 
% 69.06/11.24  % (2360924)------------------------------
% 69.06/11.24  % (2360924)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 69.06/11.24  % (2360924)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 84.08/13.36  % (2360924)CaDiCaL version: 2.1.3
% 84.08/13.36  % (2360924)Termination reason: Instruction limit
% 84.08/13.36  % (2360924)Termination phase: Initialization
% 84.08/13.36  % (2360924)Time elapsed: 0.278 s
% 84.08/13.36  % (2360924)Peak memory usage: 105 MB
% 84.08/13.36  % (2360924)Instructions burned: 319 (million)
% 84.08/13.36  % (2360931)lrs-1002_1_sil=8000:plsq=on:plsqr=32,1:sp=occurrence:sos=on:fs=off:gs=on:newcnf=on:random_seed=2731436006:i=757:sd=2:fsr=off:ss=axioms:sgt=40_2945 on theBenchmark for (2945ds/757Mi)
% 84.08/13.36  % Exception at run slice level
% 84.08/13.36  User error: GNN currently only supports monomorphic FOL.
% 84.08/13.36  % (2360937)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=64000:npcc=on:sp=occurrence:random_seed=3335024692:i=13913:ss=axioms:sgt=8_2939 on theBenchmark for (2939ds/13913Mi)
% 84.08/13.36  % (2360931)Instruction limit reached! 
% 84.08/13.36  % (2360931)------------------------------
% 84.08/13.36  % (2360931)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 84.08/13.36  % (2360931)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 84.08/13.36  % (2360931)CaDiCaL version: 2.1.3
% 84.08/13.36  % (2360931)Termination reason: Instruction limit
% 84.08/13.36  % (2360931)Termination phase: Saturation
% 84.08/13.36  % (2360931)Time elapsed: 0.628 s
% 84.08/13.36  % (2360931)Peak memory usage: 106 MB
% 84.08/13.36  % (2360931)Instructions burned: 757 (million)
% 84.08/13.36  % (2360939)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:sp=const_frequency:sos=all:lma=off:random_seed=1699392973:i=9925:aac=none_2935 on theBenchmark for (2935ds/9925Mi)
% 84.08/13.36  % (2360926)Instruction limit reached! 
% 84.08/13.36  % (2360926)------------------------------
% 84.08/13.36  % (2360926)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 84.08/13.36  % (2360926)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 84.08/13.36  % (2360926)CaDiCaL version: 2.1.3
% 84.08/13.36  % (2360926)Termination reason: Instruction limit
% 84.08/13.36  % (2360926)Termination phase: Property scanning
% 84.08/13.36  % (2360926)Time elapsed: 1.738 s
% 84.08/13.36  % (2360926)Peak memory usage: 126 MB
% 84.08/13.36  % (2360926)Instructions burned: 2064 (million)
% 84.08/13.36  % Exception at run slice level
% 84.08/13.36  User error: GNN currently only supports monomorphic FOL.
% 84.08/13.36  % Exception at run slice level
% 84.08/13.36  User error: GNN currently only supports monomorphic FOL.
% 84.08/13.36  % (2360942)dis-1010_50_to=lpo:sil=32000:sp=arity:sos=on:spb=goal_then_units:urr=ec_only:slsq=on:random_seed=1497429611:i=2479:sd=2:nm=16:fsr=off:ss=axioms_2929 on theBenchmark for (2929ds/2479Mi)
% 84.08/13.36  % (2360945)dis-1011_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:erd=off:lsd=100:bsr=unit_only:random_seed=750924325:st=1.5:i=11145:s2at=3:sd=3:fsr=off:ss=axioms_2927 on theBenchmark for (2927ds/11145Mi)
% 84.08/13.36  % (2360944)ott+1002_64_sil=16000:sp=const_min:nwc=0.5:random_seed=926008811:i=440:nm=2:av=off:gtg=exists_all:fdi=8:gsp=on_2927 on theBenchmark for (2927ds/440Mi)
% 84.08/13.36  % (2360944)Instruction limit reached! 
% 84.08/13.36  % (2360944)------------------------------
% 84.08/13.36  % (2360944)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 84.08/13.36  % (2360944)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 84.08/13.36  % (2360944)CaDiCaL version: 2.1.3
% 84.08/13.36  % (2360944)Termination reason: Instruction limit
% 84.08/13.36  % (2360944)Termination phase: Property scanning
% 84.08/13.36  % (2360944)Time elapsed: 0.335 s
% 84.08/13.36  % (2360944)Peak memory usage: 97 MB
% 84.08/13.36  % (2360944)Instructions burned: 440 (million)
% 84.08/13.36  % Exception at run slice level
% 84.08/13.36  User error: GNN currently only supports monomorphic FOL.
% 84.08/13.36  % (2360949)lrs+1002_1_to=lpo:ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:sp=unary_frequency:lcm=reverse:urr=on:bsr=on:random_seed=2892466322:cts=off:i=3034:av=off:er=known:fsd=on_2921 on theBenchmark for (2921ds/3034Mi)
% 84.08/13.36  % (2360951)lrs-1011_64:1_sil=8000:erd=off:urr=on:nwc=0.7:br=off:random_seed=1891614556:st=2:s2a=on:i=524:s2at=2:ss=axioms_2920 on theBenchmark for (2920ds/524Mi)
% 84.08/13.36  % (2360942)Refutation not found, incomplete strategy
% 84.08/13.36  % (2360942)------------------------------
% 84.08/13.36  % (2360942)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 84.08/13.36  % (2360942)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 84.08/13.36  % (2360942)CaDiCaL version: 2.1.3
% 84.08/13.36  % (2360942)Termination reason: Refutation not found, incomplete strategy
% 88.20/15.06  % (2360942)Time elapsed: 1.027 s
% 88.20/15.06  % (2360942)Peak memory usage: 113 MB
% 88.20/15.06  % (2360942)Instructions burned: 1187 (million)
% 88.20/15.06  % (2360927)Instruction limit reached! 
% 88.20/15.06  % (2360927)------------------------------
% 88.20/15.06  % (2360927)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 88.20/15.06  % (2360927)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 88.20/15.06  % (2360927)CaDiCaL version: 2.1.3
% 88.20/15.06  % (2360927)Termination reason: Instruction limit
% 88.20/15.06  % (2360927)Termination phase: Saturation
% 88.20/15.06  % (2360927)Time elapsed: 3.037 s
% 88.20/15.06  % (2360927)Peak memory usage: 137 MB
% 88.20/15.06  % (2360927)Instructions burned: 3707 (million)
% 88.20/15.06  % Exception at run slice level
% 88.20/15.06  User error: GNN currently only supports monomorphic FOL.
% 88.20/15.06  % (2360951)Instruction limit reached! 
% 88.20/15.06  % (2360951)------------------------------
% 88.20/15.06  % (2360951)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 88.20/15.06  % (2360951)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 88.20/15.06  % (2360951)CaDiCaL version: 2.1.3
% 88.20/15.06  % (2360951)Termination reason: Instruction limit
% 88.20/15.06  % (2360951)Termination phase: Property scanning
% 88.20/15.06  % (2360951)Time elapsed: 0.443 s
% 88.20/15.06  % (2360951)Peak memory usage: 107 MB
% 88.20/15.06  % (2360951)Instructions burned: 524 (million)
% 88.20/15.06  % (2360955)lrs+1011_16:1_sil=8000:acc=on:urr=on:fd=preordered:flr=on:random_seed=834623982:avsq=on:i=1016:avsqr=676809,524288:sd=1:ss=axioms_2916 on theBenchmark for (2916ds/1016Mi)
% 88.20/15.06  % (2360956)lrs+1010_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:drc=off:fde=none:s2agt=16:random_seed=2371214072:i=14123:bd=preordered:ins=4_2915 on theBenchmark for (2915ds/14123Mi)
% 88.20/15.06  % (2360942)------------------------------
% 88.20/15.06  % (2360942)------------------------------
% 88.20/15.06  % (2360958)dis+10_4096_slsqr=16,1:sil=32000:tgt=full:plsq=on:bsr=unit_only:slsqc=1:slsq=on:random_seed=1316907520:i=5781:kws=precedence:bd=all:rawr=on_2913 on theBenchmark for (2913ds/5781Mi)
% 88.20/15.06  % (2360960)lrs-1011_1_to=lpo:ncem=casc2026/models/loop7.pt:sil=64000:npcc=on:drc=off:sp=reverse_frequency:erd=off:urr=on:br=off:random_seed=3643455281:i=2448:gtgl=5:bd=preordered:gtg=all_2912 on theBenchmark for (2912ds/2448Mi)
% 88.20/15.06  % (2360920)Instruction limit reached! 
% 88.20/15.06  % (2360920)------------------------------
% 88.20/15.06  % (2360920)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 88.20/15.06  % (2360920)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 88.20/15.06  % (2360920)CaDiCaL version: 2.1.3
% 88.20/15.06  % (2360920)Termination reason: Instruction limit
% 88.20/15.06  % (2360920)Termination phase: Saturation
% 88.20/15.06  % (2360920)Time elapsed: 4.405 s
% 88.20/15.06  % (2360920)Peak memory usage: 151 MB
% 88.20/15.06  % (2360920)Instructions burned: 4850 (million)
% 88.20/15.06  % (2360955)Instruction limit reached! 
% 88.20/15.06  % (2360955)------------------------------
% 88.20/15.06  % (2360955)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 88.20/15.06  % (2360955)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 88.20/15.06  % (2360955)CaDiCaL version: 2.1.3
% 88.20/15.06  % (2360955)Termination reason: Instruction limit
% 88.20/15.06  % (2360955)Termination phase: Saturation
% 88.20/15.06  % (2360955)Time elapsed: 0.851 s
% 88.20/15.06  % (2360955)Peak memory usage: 112 MB
% 88.20/15.06  % (2360955)Instructions burned: 1016 (million)
% 88.20/15.06  % (2360963)lrs+1011_1_ncem=casc2026/models/loop5.pt:sil=32000:tgt=full:npcc=on:lcm=reverse:random_seed=3741696770:i=3223:kws=precedence:fgj=on:av=off_2907 on theBenchmark for (2907ds/3223Mi)
% 88.20/15.06  % Exception at run slice level
% 88.20/15.06  User error: GNN currently only supports monomorphic FOL.
% 88.20/15.06  % (2360964)lrs+1002_1_ncem=casc2026/models/loop4.pt:sil=8000:npcc=on:sp=occurrence:sos=on:random_seed=1798769101:st=5.6:i=2033:sd=3:ss=axioms_2904 on theBenchmark for (2904ds/2033Mi)
% 88.20/15.06  % (2360966)lrs-1010_1_ncem=casc2026/models/loop8.pt:sil=64000:npcc=on:bsd=on:random_seed=3705121974:i=2055:nm=16:gtg=position:ss=axioms:fsd=on_2903 on theBenchmark for (2903ds/2055Mi)
% 88.20/15.06  % Exception at run slice level
% 88.20/15.06  User error: GNN currently only supports monomorphic FOL.
% 88.20/15.06  % (2360969)dis+1010_1_ncem=casc2026/models/loop7.pt:sil=64000:tgt=full:npcc=on:fde=unused:sp=const_frequency:spb=goal:acc=on:random_seed=1524168035:i=21611:sd=3:ss=axioms_2898 on theBenchmark for (2898ds/21611Mi)
% 88.20/15.06  % (2360949)Instruction limit reached! 
% 88.20/15.06  % (2360949)------------------------------
% 88.20/15.06  % (2360949)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 88.20/15.06  % (2360949)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 88.20/15.06  % (2360949)CaDiCaL version: 2.1.3
% 88.20/15.06  % (2360949)Termination reason: Instruction limit
% 88.20/15.06  % (2360949)Termination phase: Saturation
% 88.20/15.06  % (2360949)Time elapsed: 2.467 s
% 88.20/15.06  % (2360949)Peak memory usage: 143 MB
% 88.20/15.06  % (2360949)Instructions burned: 3035 (million)
% 88.20/15.06  % (2360973)lrs+10_1_sil=8000:sp=occurrence:sos=all:lma=off:random_seed=3139991557:i=4835:sd=13:ss=axioms:sgt=23_2894 on theBenchmark for (2894ds/4835Mi)
% 88.20/15.06  % (2360960)Instruction limit reached! 
% 88.20/15.06  % (2360960)------------------------------
% 88.20/15.06  % (2360960)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 88.20/15.06  % (2360960)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 88.20/15.06  % (2360960)CaDiCaL version: 2.1.3
% 88.20/15.06  % (2360960)Termination reason: Instruction limit
% 88.20/15.06  % (2360960)Termination phase: Property scanning
% 88.20/15.06  % (2360960)Time elapsed: 2.077 s
% 88.20/15.06  % (2360960)Peak memory usage: 123 MB
% 88.20/15.06  % (2360960)Instructions burned: 2449 (million)
% 88.20/15.06  % Exception at run slice level
% 88.20/15.06  User error: GNN currently only supports monomorphic FOL.
% 88.20/15.06  % (2360977)lrs+10_1_to=lpo:sil=32000:plsq=on:plsqc=1:bsd=on:plsqr=64,1:sp=reverse_frequency:bsr=unit_only:plsql=on:fd=off:slsqc=4:newcnf=on:slsq=on:random_seed=2787551235:st=5:i=797:s2at=3:sd=4:bs=unit_only:av=off:sup=off:ss=included_2888 on theBenchmark for (2888ds/797Mi)
% 88.20/15.06  % (2360978)lrs-1011_5_sil=8000:sp=const_max:sos=on:lsd=50:rnwc=on:rp=on:nwc=2.6:alpa=false:random_seed=2162521308:i=2326:kws=inv_precedence:aac=none:nicw=on:bs=unit_only:nm=16:ins=2:fsd=on_2887 on theBenchmark for (2887ds/2326Mi)
% 88.20/15.06  % (2360964)Instruction limit reached! 
% 88.20/15.06  % (2360964)------------------------------
% 88.20/15.06  % (2360964)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 88.20/15.06  % (2360964)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 88.20/15.06  % (2360964)CaDiCaL version: 2.1.3
% 88.20/15.06  % (2360964)Termination reason: Instruction limit
% 88.20/15.06  % (2360964)Termination phase: Saturation
% 88.20/15.06  % (2360964)Time elapsed: 1.752 s
% 88.20/15.06  % (2360964)Peak memory usage: 129 MB
% 88.20/15.06  % (2360964)Instructions burned: 2033 (million)
% 88.20/15.06  % Exception at run slice level
% 88.20/15.06  User error: GNN currently only supports monomorphic FOL.
% 88.20/15.06  % (2360981)lrs+10_1_ncem=casc2026/models/loop5.pt:sil=8000:npcc=on:sos=all:urr=on:br=off:random_seed=3102310407:i=6038:nm=6_2884 on theBenchmark for (2884ds/6038Mi)
% 88.20/15.06  % (2360982)lrs+10_1_sil=32000:sp=occurrence:random_seed=3064372267:st=2:i=33334:sd=3:ss=included:sgt=32_2883 on theBenchmark for (2883ds/33334Mi)
% 88.20/15.06  % (2360977)Instruction limit reached! 
% 88.20/15.06  % (2360977)------------------------------
% 88.20/15.06  % (2360977)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 88.20/15.06  % (2360977)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 88.20/15.06  % (2360977)CaDiCaL version: 2.1.3
% 88.20/15.06  % (2360977)Termination reason: Instruction limit
% 88.20/15.06  % (2360977)Termination phase: NewCNF
% 88.20/15.06  % (2360977)Time elapsed: 0.713 s
% 88.20/15.06  % (2360977)Peak memory usage: 110 MB
% 88.20/15.06  % (2360977)Instructions burned: 798 (million)
% 88.20/15.06  % (2360963)Instruction limit reached! 
% 88.20/15.06  % (2360963)------------------------------
% 88.20/15.06  % (2360963)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 88.20/15.06  % (2360963)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 88.20/15.06  % (2360963)CaDiCaL version: 2.1.3
% 88.20/15.06  % (2360963)Termination reason: Instruction limit
% 88.20/15.06  % (2360963)Termination phase: Saturation
% 88.20/15.06  % (2360963)Time elapsed: 2.789 s
% 88.20/15.06  % (2360963)Peak memory usage: 146 MB
% 88.20/15.06  % (2360963)Instructions burned: 3223 (million)
% 88.20/15.06  % (2360986)lrs+10_4_sil=8000:plsq=on:plsqr=1,64:sp=occurrence:urr=on:bsr=on:br=off:random_seed=236711238:st=3.7:s2a=on:i=1008:s2at=1.2:sd=3:bd=all:av=off:fdi=8:sup=off:ss=axioms_2878 on theBenchmark for (2878ds/1008Mi)
% 88.20/15.06  % (2360978)Instruction limit reached! 
% 88.20/15.06  % (2360978)------------------------------
% 88.20/15.06  % (2360978)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 88.20/15.06  % (2360978)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 88.20/15.06  % (2360978)CaDiCaL version: 2.1.3
% 88.20/15.06  % (2360978)Termination reason: Instruction limit
% 88.20/15.06  % (2360978)Termination phase: Property scanning
% 88.20/15.06  % (2360978)Time elapsed: 1.045 s
% 88.20/15.06  % (2360978)Peak memory usage: 128 MB
% 88.20/15.06  % (2360978)Instructions burned: 2327 (million)
% 88.20/15.06  % (2360988)lrs+10_1_to=lpo:ncem=casc2026/models/loop6.pt:sil=128000:tgt=ground:npcc=on:fde=none:sp=const_frequency:spb=intro:gs=on:random_seed=2456015092:i=8327:s2at=5:bd=preordered_2876 on theBenchmark for (2876ds/8327Mi)
% 88.20/15.06  % (2360990)lrs+1002_1_slsqr=3,2:sil=8000:tgt=full:plsq=on:fde=unused:plsqc=1:plsqr=3,2:sp=reverse_arity:spb=intro:urr=on:plsql=on:s2agt=16:br=off:slsqc=2:slsq=on:random_seed=3272549681:s2a=on:i=1083:s2at=1.87328:slsql=off:ep=RSTC:fdi=16_2875 on theBenchmark for (2875ds/1083Mi)
% 88.20/15.06  % (2360990)Instruction limit reached! 
% 88.20/15.06  % (2360990)------------------------------
% 88.20/15.06  % (2360990)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 88.20/15.06  % (2360990)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 88.20/15.06  % (2360990)CaDiCaL version: 2.1.3
% 88.20/15.06  % (2360990)Termination reason: Instruction limit
% 88.20/15.06  % (2360990)Termination phase: Preprocessing 2
% 88.20/15.06  % (2360990)Time elapsed: 0.515 s
% 88.20/15.06  % (2360990)Peak memory usage: 111 MB
% 88.20/15.06  % (2360990)Instructions burned: 1084 (million)
% 88.20/15.06  % (2360986)Instruction limit reached! 
% 88.20/15.06  % (2360986)------------------------------
% 88.20/15.06  % (2360986)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 88.20/15.06  % (2360986)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 88.20/15.06  % (2360986)CaDiCaL version: 2.1.3
% 88.20/15.06  % (2360986)Termination reason: Instruction limit
% 88.20/15.06  % (2360986)Termination phase: SInE selection
% 88.20/15.06  % (2360986)Time elapsed: 0.864 s
% 88.20/15.06  % (2360986)Peak memory usage: 107 MB
% 88.20/15.06  % (2360986)Instructions burned: 1009 (million)
% 88.20/15.06  % (2360994)lrs-1004_3_to=lpo:sil=16000:drc=off:sims=off:spb=goal:fd=preordered:random_seed=3994942421:i=1084:sd=1:bd=preordered:av=off:fsr=off:ss=axioms:sgt=14_2867 on theBenchmark for (2867ds/1084Mi)
% 88.20/15.06  % (2360995)lrs+1010_1_ncem=casc2026/models/loop8.pt:sil=32000:tgt=full:npcc=on:erd=off:spb=goal:sac=on:newcnf=on:random_seed=1120645332:i=6995:s2at=5:gtg=all_2866 on theBenchmark for (2866ds/6995Mi)
% 88.20/15.06  % (2360973)First to succeed.
% 88.20/15.06  % (2360958)Instruction limit reached! 
% 88.20/15.06  % (2360958)------------------------------
% 88.20/15.06  % (2360958)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 88.20/15.06  % (2360958)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 88.20/15.06  % (2360958)CaDiCaL version: 2.1.3
% 88.20/15.06  % (2360958)Termination reason: Instruction limit
% 88.20/15.06  % (2360958)Termination phase: Saturation
% 88.20/15.06  % (2360958)Time elapsed: 4.783 s
% 88.20/15.06  % (2360958)Peak memory usage: 144 MB
% 88.20/15.06  % (2360958)Instructions burned: 5781 (million)
% 88.20/15.06  % (2360973)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2360843"
% 88.20/15.06  % (2360994)Also succeeded, but the first one will report.
% 88.20/15.06  % (2360999)lrs+10_1_sil=32000:sp=occurrence:sos=on:urr=on:rnwc=on:random_seed=4060037769:st=2:i=6225:sd=15:ss=axioms_2862 on theBenchmark for (2862ds/6225Mi)
% 88.20/15.06  % (2360973)Refutation found. Thanks to Tanya!
% 88.20/15.06  % SZS status Theorem for theBenchmark
% 88.20/15.06  % SZS output start Proof for theBenchmark
% See solution above
% 96.74/15.24  % (2360973)------------------------------
% 96.74/15.24  % (2360973)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 96.74/15.24  % (2360973)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 96.74/15.24  % (2360973)CaDiCaL version: 2.1.3
% 96.74/15.24  % (2360973)Termination reason: Refutation
% 96.74/15.24  % (2360973)Time elapsed: 2.867 s
% 96.74/15.24  % (2360973)Peak memory usage: 139 MB
% 96.74/15.24  % (2360973)Instructions burned: 3221 (million)
% 96.74/15.24  % (2360973)------------------------------
% 96.74/15.24  % (2360973)------------------------------
% 96.74/15.24  % (2360843)Success in time 14.188 s
% 96.74/15.24  % Vampire exiting
%------------------------------------------------------------------------------