Vampire---5.0.1.THM-Ref.s

%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : ITP245_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 : n014.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 11:31:40 AM UTC 2026

% Result   : Theorem 112.51s 18.68s
% Output   : Refutation 113.36s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   15
%            Number of leaves      :   10
% Syntax   : Number of formulae    :   55 (  26 unt;   0 typ;   2 def)
%            Number of atoms       :  155 (  89 equ)
%            Maximal formula atoms :    8 (   2 avg)
%            Number of connectives :  104 (  33   ~;  41   |;  25   &)
%                                         (   2 <=>;   3  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   13 (   4 avg)
%            Maximal term depth    :    9 (   2 avg)
%            Number of FOOLs       :   51 (  51 fml;   0 var)
%            Number of types       :   13 (  12 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of predicates  :  852 ( 849 usr;   9 prp; 0-7 aty)
%            Number of functors    : 3662 (3662 usr; 157 con; 0-8 aty)
%            Number of variables   :   64 (   0 sgn  64   !;   0   ?;  64   :)

% 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,
    option: $tType > $tType ).

tff(type_def_12,type,
    filter: $tType > $tType ).

tff(type_def_13,type,
    char: $tType ).

tff(type_def_14,type,
    real: $tType ).

tff(type_def_15,type,
    list: $tType > $tType ).

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

tff(type_def_17,type,
    rat: $tType ).

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

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

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

tff(type_def_21,type,
    itself: $tType > $tType ).

tff(type_def_22,type,
    fun: ( $tType * $tType ) > $tType ).

tff(type_def_23,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] : ( 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] : ( X0 > X1 ) ).

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

tff(func_def_947,type,
    aTP_Lamp_on: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_948,type,
    aTP_Lamp_oo: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_949,type,
    aTP_Lamp_op: 
      !>[X0: $tType,X1: $tType] : fun(X0,X1) ).

tff(func_def_950,type,
    aTP_Lamp_oq: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_951,type,
    aTP_Lamp_or: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_952,type,
    aTP_Lamp_os: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_953,type,
    aTP_Lamp_ot: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_954,type,
    aTP_Lamp_ou: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_955,type,
    aTP_Lamp_ov: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_956,type,
    aTP_Lamp_ow: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_957,type,
    aTP_Lamp_ox: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_958,type,
    aTP_Lamp_oy: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_959,type,
    aTP_Lamp_oz: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_960,type,
    aTP_Lamp_pa: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_961,type,
    aTP_Lamp_pb: 
      !>[X0: $tType,X1: $tType] : fun(X0,X1) ).

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

tff(func_def_963,type,
    aTP_Lamp_pd: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_964,type,
    aTP_Lamp_pe: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_965,type,
    aTP_Lamp_pf: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_966,type,
    aTP_Lamp_pg: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_967,type,
    aTP_Lamp_ph: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_968,type,
    aTP_Lamp_pi: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

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

tff(func_def_970,type,
    aTP_Lamp_pk: 
      !>[X0: $tType,X1: $tType] : fun(X0,X1) ).

tff(func_def_971,type,
    aTP_Lamp_pl: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_972,type,
    aTP_Lamp_pm: 
      !>[X0: $tType,X1: $tType] : fun(X0,X1) ).

tff(func_def_973,type,
    aTP_Lamp_pn: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

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

tff(func_def_975,type,
    aTP_Lamp_pp: 
      !>[X0: $tType,X1: $tType] : fun(X0,X1) ).

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

tff(func_def_977,type,
    aTP_Lamp_pr: 
      !>[X0: $tType,X1: $tType] : fun(X0,X1) ).

tff(func_def_978,type,
    aTP_Lamp_ps: 
      !>[X0: $tType,X1: $tType] : fun(X0,X1) ).

tff(func_def_979,type,
    aTP_Lamp_pt: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_980,type,
    aTP_Lamp_pu: 
      !>[X0: $tType,X1: $tType] : fun(X0,X1) ).

tff(func_def_981,type,
    aTP_Lamp_pv: 
      !>[X0: $tType,X1: $tType] : fun(X0,X1) ).

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

tff(func_def_983,type,
    aTP_Lamp_px: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_984,type,
    aTP_Lamp_py: 
      !>[X0: $tType,X1: $tType] : fun(X0,X1) ).

tff(func_def_985,type,
    aTP_Lamp_pz: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_986,type,
    aTP_Lamp_qa: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_987,type,
    aTP_Lamp_qb: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_988,type,
    aTP_Lamp_qc: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_989,type,
    aTP_Lamp_qd: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_990,type,
    aTP_Lamp_qe: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_991,type,
    aTP_Lamp_qf: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_992,type,
    aTP_Lamp_qg: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_993,type,
    aTP_Lamp_qh: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_994,type,
    aTP_Lamp_qi: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_995,type,
    aTP_Lamp_qj: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_996,type,
    aTP_Lamp_qk: 
      !>[X0: $tType,X1: $tType] : fun(X0,X1) ).

tff(func_def_997,type,
    aTP_Lamp_ql: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_998,type,
    aTP_Lamp_qm: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_999,type,
    aTP_Lamp_qn: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1000,type,
    aTP_Lamp_qo: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1001,type,
    aTP_Lamp_qp: 
      !>[X0: $tType,X1: $tType] : fun(X0,X1) ).

tff(func_def_1002,type,
    aTP_Lamp_qq: 
      !>[X0: $tType,X1: $tType] : fun(X0,X1) ).

tff(func_def_1003,type,
    aTP_Lamp_qr: 
      !>[X0: $tType,X1: $tType] : fun(X0,X1) ).

tff(func_def_1004,type,
    aTP_Lamp_qs: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1005,type,
    aTP_Lamp_qt: 
      !>[X0: $tType,X1: $tType] : fun(X0,X1) ).

tff(func_def_1006,type,
    aTP_Lamp_qu: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1007,type,
    aTP_Lamp_qv: 
      !>[X0: $tType,X1: $tType] : fun(X0,X1) ).

tff(func_def_1008,type,
    aTP_Lamp_qw: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1009,type,
    aTP_Lamp_qx: 
      !>[X0: $tType,X1: $tType] : fun(X0,X1) ).

tff(func_def_1010,type,
    aTP_Lamp_qy: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1011,type,
    aTP_Lamp_qz: 
      !>[X0: $tType,X1: $tType] : fun(X0,X1) ).

tff(func_def_1012,type,
    aTP_Lamp_ra: 
      !>[X0: $tType,X1: $tType] : fun(X0,X1) ).

tff(func_def_1013,type,
    aTP_Lamp_rb: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1014,type,
    aTP_Lamp_rc: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1015,type,
    aTP_Lamp_rd: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1016,type,
    aTP_Lamp_re: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1017,type,
    aTP_Lamp_rf: 
      !>[X0: $tType,X1: $tType] : fun(X0,X1) ).

tff(func_def_1018,type,
    aTP_Lamp_rg: 
      !>[X0: $tType,X1: $tType] : fun(X0,X1) ).

tff(func_def_1019,type,
    aTP_Lamp_rh: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1020,type,
    aTP_Lamp_ri: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1021,type,
    aTP_Lamp_rj: 
      !>[X0: $tType,X1: $tType] : fun(X0,X1) ).

tff(func_def_1022,type,
    aTP_Lamp_rk: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1023,type,
    aTP_Lamp_rl: 
      !>[X0: $tType,X1: $tType] : fun(X0,X1) ).

tff(func_def_1024,type,
    aTP_Lamp_rm: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1025,type,
    aTP_Lamp_rn: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1026,type,
    aTP_Lamp_ro: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1027,type,
    aTP_Lamp_rp: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1028,type,
    aTP_Lamp_rq: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1029,type,
    aTP_Lamp_rr: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1030,type,
    aTP_Lamp_rs: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1031,type,
    aTP_Lamp_rt: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1032,type,
    aTP_Lamp_ru: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1033,type,
    aTP_Lamp_rv: 
      !>[X0: $tType,X1: $tType] : fun(X0,X1) ).

tff(func_def_1034,type,
    aTP_Lamp_rw: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1035,type,
    aTP_Lamp_rx: 
      !>[X0: $tType,X1: $tType] : fun(X0,X1) ).

tff(func_def_1036,type,
    aTP_Lamp_ry: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1037,type,
    aTP_Lamp_rz: 
      !>[X0: $tType,X1: $tType] : fun(X0,X1) ).

tff(func_def_1038,type,
    aTP_Lamp_sa: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1039,type,
    aTP_Lamp_sb: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1040,type,
    aTP_Lamp_sc: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1041,type,
    aTP_Lamp_sd: 
      !>[X0: $tType,X1: $tType] : fun(X0,X1) ).

tff(func_def_1042,type,
    aTP_Lamp_se: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1043,type,
    aTP_Lamp_sf: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1044,type,
    aTP_Lamp_sg: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1045,type,
    aTP_Lamp_sh: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1046,type,
    aTP_Lamp_si: 
      !>[X0: $tType,X1: $tType] : fun(X0,X1) ).

tff(func_def_1047,type,
    aTP_Lamp_sj: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1048,type,
    aTP_Lamp_sk: 
      !>[X0: $tType,X1: $tType] : fun(X0,X1) ).

tff(func_def_1049,type,
    aTP_Lamp_sl: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1050,type,
    aTP_Lamp_sm: 
      !>[X0: $tType,X1: $tType] : fun(X0,X1) ).

tff(func_def_1051,type,
    aTP_Lamp_sn: 
      !>[X0: $tType,X1: $tType] : fun(X0,X1) ).

tff(func_def_1052,type,
    aTP_Lamp_so: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1053,type,
    aTP_Lamp_sp: 
      !>[X0: $tType,X1: $tType] : fun(X0,X1) ).

tff(func_def_1054,type,
    aTP_Lamp_sq: 
      !>[X0: $tType,X1: $tType] : fun(X0,X1) ).

tff(func_def_1055,type,
    aTP_Lamp_sr: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1056,type,
    aTP_Lamp_ss: 
      !>[X0: $tType,X1: $tType] : fun(X0,X1) ).

tff(func_def_1057,type,
    aTP_Lamp_st: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1058,type,
    aTP_Lamp_su: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1059,type,
    aTP_Lamp_sv: 
      !>[X0: $tType,X1: $tType] : fun(X0,X1) ).

tff(func_def_1060,type,
    aTP_Lamp_sw: 
      !>[X0: $tType,X1: $tType] : fun(X0,X1) ).

tff(func_def_1061,type,
    aTP_Lamp_sx: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1062,type,
    aTP_Lamp_sy: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1063,type,
    aTP_Lamp_sz: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1064,type,
    aTP_Lamp_ta: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1065,type,
    aTP_Lamp_tb: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1066,type,
    aTP_Lamp_tc: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1067,type,
    aTP_Lamp_td: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1068,type,
    aTP_Lamp_te: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1069,type,
    aTP_Lamp_tf: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1070,type,
    aTP_Lamp_tg: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1071,type,
    aTP_Lamp_th: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1072,type,
    aTP_Lamp_ti: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1073,type,
    aTP_Lamp_tj: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1074,type,
    aTP_Lamp_tk: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1075,type,
    aTP_Lamp_tl: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1076,type,
    aTP_Lamp_tm: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1077,type,
    aTP_Lamp_tn: 
      !>[X0: $tType,X1: $tType] : fun(X0,X1) ).

tff(func_def_1078,type,
    aTP_Lamp_to: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1079,type,
    aTP_Lamp_tp: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1080,type,
    aTP_Lamp_tq: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1081,type,
    aTP_Lamp_tr: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1082,type,
    aTP_Lamp_ts: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1083,type,
    aTP_Lamp_tt: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1084,type,
    aTP_Lamp_tu: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1085,type,
    aTP_Lamp_tv: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1086,type,
    aTP_Lamp_tw: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1087,type,
    aTP_Lamp_tx: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1088,type,
    aTP_Lamp_ty: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1089,type,
    aTP_Lamp_tz: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1090,type,
    aTP_Lamp_ua: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1091,type,
    aTP_Lamp_ub: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1092,type,
    aTP_Lamp_uc: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1093,type,
    aTP_Lamp_ud: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1094,type,
    aTP_Lamp_ue: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1095,type,
    aTP_Lamp_uf: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1096,type,
    aTP_Lamp_ug: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1097,type,
    aTP_Lamp_uh: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1098,type,
    aTP_Lamp_ui: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1099,type,
    aTP_Lamp_uj: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1100,type,
    aTP_Lamp_uk: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1101,type,
    aTP_Lamp_ul: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1102,type,
    aTP_Lamp_um: 
      !>[X0: $tType,X1: $tType] : fun(X0,X1) ).

tff(func_def_1103,type,
    aTP_Lamp_un: 
      !>[X0: $tType,X1: $tType] : fun(X0,X1) ).

tff(func_def_1104,type,
    aTP_Lamp_uo: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1105,type,
    aTP_Lamp_up: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1106,type,
    aTP_Lamp_uq: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1107,type,
    aTP_Lamp_ur: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1108,type,
    aTP_Lamp_us: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1109,type,
    aTP_Lamp_ut: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1110,type,
    aTP_Lamp_uu: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1111,type,
    aTP_Lamp_uv: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1112,type,
    aTP_Lamp_uw: 
      !>[X0: $tType,X1: $tType] : fun(X0,X1) ).

tff(func_def_1113,type,
    aTP_Lamp_ux: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1114,type,
    aTP_Lamp_uy: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1115,type,
    aTP_Lamp_uz: 
      !>[X0: $tType,X1: $tType] : fun(X0,X1) ).

tff(func_def_1116,type,
    aTP_Lamp_va: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1117,type,
    aTP_Lamp_vb: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1118,type,
    aTP_Lamp_vc: 
      !>[X0: $tType,X1: $tType] : fun(X0,X1) ).

tff(func_def_1119,type,
    aTP_Lamp_vd: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1120,type,
    aTP_Lamp_ve: 
      !>[X0: $tType,X1: $tType] : fun(X0,X1) ).

tff(func_def_1121,type,
    aTP_Lamp_vf: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1122,type,
    aTP_Lamp_vg: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1123,type,
    aTP_Lamp_vh: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1124,type,
    aTP_Lamp_vi: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1125,type,
    aTP_Lamp_vj: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1126,type,
    aTP_Lamp_vk: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1127,type,
    aTP_Lamp_vl: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1128,type,
    aTP_Lamp_vm: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1129,type,
    aTP_Lamp_vn: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1130,type,
    aTP_Lamp_vo: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1131,type,
    aTP_Lamp_vp: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1132,type,
    aTP_Lamp_vq: 
      !>[X0: $tType,X1: $tType] : fun(X0,X1) ).

tff(func_def_1133,type,
    aTP_Lamp_vr: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1134,type,
    aTP_Lamp_vs: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1135,type,
    aTP_Lamp_vt: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1136,type,
    aTP_Lamp_vu: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1137,type,
    aTP_Lamp_vv: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1138,type,
    aTP_Lamp_vw: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1139,type,
    aTP_Lamp_vx: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1140,type,
    aTP_Lamp_vy: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1141,type,
    aTP_Lamp_vz: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1142,type,
    aTP_Lamp_wa: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1143,type,
    aTP_Lamp_wb: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1144,type,
    aTP_Lamp_wc: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1145,type,
    aTP_Lamp_wd: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1146,type,
    aTP_Lamp_we: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1147,type,
    aTP_Lamp_wf: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1148,type,
    aTP_Lamp_wg: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1149,type,
    aTP_Lamp_wh: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1150,type,
    aTP_Lamp_wi: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1151,type,
    aTP_Lamp_wj: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1152,type,
    aTP_Lamp_wk: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1153,type,
    aTP_Lamp_wl: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1154,type,
    aTP_Lamp_wm: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1155,type,
    aTP_Lamp_wn: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1156,type,
    aTP_Lamp_wo: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1157,type,
    aTP_Lamp_wp: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1158,type,
    aTP_Lamp_wq: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1159,type,
    aTP_Lamp_wr: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1160,type,
    aTP_Lamp_ws: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1161,type,
    aTP_Lamp_wt: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1162,type,
    aTP_Lamp_wu: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1163,type,
    aTP_Lamp_wv: 
      !>[X0: $tType,X1: $tType] : fun(X0,X1) ).

tff(func_def_1164,type,
    aTP_Lamp_ww: 
      !>[X0: $tType,X1: $tType] : fun(X0,X1) ).

tff(func_def_1165,type,
    aTP_Lamp_wx: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1166,type,
    aTP_Lamp_wy: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1167,type,
    aTP_Lamp_wz: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1168,type,
    aTP_Lamp_xa: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1169,type,
    aTP_Lamp_xb: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1170,type,
    aTP_Lamp_xc: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1171,type,
    aTP_Lamp_xd: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1172,type,
    aTP_Lamp_xe: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1173,type,
    aTP_Lamp_xf: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1174,type,
    aTP_Lamp_xg: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1175,type,
    aTP_Lamp_xh: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1176,type,
    aTP_Lamp_xi: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1177,type,
    aTP_Lamp_xj: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1178,type,
    aTP_Lamp_xk: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1179,type,
    aTP_Lamp_xl: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1180,type,
    aTP_Lamp_xm: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1181,type,
    aTP_Lamp_xn: 
      !>[X0: $tType,X1: $tType] : fun(X0,X1) ).

tff(func_def_1182,type,
    aTP_Lamp_xo: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1183,type,
    aTP_Lamp_xp: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1184,type,
    aTP_Lamp_xq: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1185,type,
    aTP_Lamp_xr: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1186,type,
    aTP_Lamp_xs: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1187,type,
    aTP_Lamp_xt: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1188,type,
    aTP_Lamp_xu: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1189,type,
    aTP_Lamp_xv: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1190,type,
    aTP_Lamp_xw: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1191,type,
    aTP_Lamp_xx: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1192,type,
    aTP_Lamp_xy: 
      !>[X0: $tType,X1: $tType] : fun(X0,X1) ).

tff(func_def_1193,type,
    aTP_Lamp_xz: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1194,type,
    aTP_Lamp_ya: 
      !>[X0: $tType,X1: $tType] : fun(X0,X1) ).

tff(func_def_1195,type,
    aTP_Lamp_yb: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1196,type,
    aTP_Lamp_yc: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1197,type,
    aTP_Lamp_yd: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1198,type,
    aTP_Lamp_ye: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1199,type,
    aTP_Lamp_yf: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1200,type,
    aTP_Lamp_yg: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1201,type,
    aTP_Lamp_yh: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1202,type,
    aTP_Lamp_yi: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1203,type,
    aTP_Lamp_yj: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1204,type,
    aTP_Lamp_yk: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1205,type,
    aTP_Lamp_yl: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1206,type,
    aTP_Lamp_ym: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1207,type,
    aTP_Lamp_yn: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1208,type,
    aTP_Lamp_yo: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1209,type,
    aTP_Lamp_yp: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1210,type,
    aTP_Lamp_yq: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1211,type,
    aTP_Lamp_yr: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1212,type,
    aTP_Lamp_ys: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1213,type,
    aTP_Lamp_yt: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1214,type,
    aTP_Lamp_yu: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1215,type,
    aTP_Lamp_yv: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1216,type,
    aTP_Lamp_yw: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1217,type,
    aTP_Lamp_yx: 
      !>[X0: $tType,X1: $tType] : fun(X0,X1) ).

tff(func_def_1218,type,
    aTP_Lamp_yy: 
      !>[X0: $tType,X1: $tType] : fun(X0,X1) ).

tff(func_def_1219,type,
    aTP_Lamp_yz: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1220,type,
    aTP_Lamp_za: 
      !>[X0: $tType,X1: $tType] : fun(X0,X1) ).

tff(func_def_1221,type,
    aTP_Lamp_zb: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1222,type,
    aTP_Lamp_zc: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1223,type,
    aTP_Lamp_zd: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1224,type,
    aTP_Lamp_ze: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1225,type,
    aTP_Lamp_zf: 
      !>[X0: $tType,X1: $tType] : fun(X0,X1) ).

tff(func_def_1226,type,
    aTP_Lamp_zg: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1227,type,
    aTP_Lamp_zh: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1228,type,
    aTP_Lamp_zi: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1229,type,
    aTP_Lamp_zj: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1230,type,
    aTP_Lamp_zk: 
      !>[X0: $tType,X1: $tType] : fun(X0,X1) ).

tff(func_def_1231,type,
    aTP_Lamp_zl: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1232,type,
    aTP_Lamp_zm: 
      !>[X0: $tType,X1: $tType] : fun(X0,X1) ).

tff(func_def_1233,type,
    aTP_Lamp_zn: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1234,type,
    aTP_Lamp_zo: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1235,type,
    aTP_Lamp_zp: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1236,type,
    aTP_Lamp_zq: 
      !>[X0: $tType,X1: $tType] : fun(X0,X1) ).

tff(func_def_1237,type,
    aTP_Lamp_zr: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1238,type,
    aTP_Lamp_zs: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1239,type,
    aTP_Lamp_zt: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1240,type,
    aTP_Lamp_zu: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1241,type,
    aTP_Lamp_zv: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1242,type,
    aTP_Lamp_zw: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1243,type,
    aTP_Lamp_zx: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1244,type,
    aTP_Lamp_zy: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1245,type,
    aTP_Lamp_zz: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1246,type,
    archimedean_ceiling: 
      !>[X0: $tType] : ( X0 > int ) ).

tff(func_def_1247,type,
    archim6421214686448440834_floor: 
      !>[X0: $tType] : ( X0 > int ) ).

tff(func_def_1248,type,
    archimedean_frac: 
      !>[X0: $tType] : ( X0 > X0 ) ).

tff(func_def_1249,type,
    archimedean_round: 
      !>[X0: $tType] : ( X0 > int ) ).

tff(func_def_1250,type,
    bNF_Greatest_Succ: 
      !>[X0: $tType] : ( ( set(list(X0)) * list(X0) ) > set(X0) ) ).

tff(func_def_1251,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_1252,type,
    basic_BNF_size_prod: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,nat) * fun(X1,nat) * product_prod(X0,X1) ) > nat ) ).

tff(func_def_1253,type,
    binomial: nat > fun(nat,nat) ).

tff(func_def_1254,type,
    gbinomial: 
      !>[X0: $tType] : ( X0 > fun(nat,X0) ) ).

tff(func_def_1255,type,
    bit_and_int_rel: fun(product_prod(int,int),fun(product_prod(int,int),$o)) ).

tff(func_def_1256,type,
    bit_and_not_num: ( num * num ) > option(num) ).

tff(func_def_1257,type,
    bit_and_not_num_rel: fun(product_prod(num,num),fun(product_prod(num,num),$o)) ).

tff(func_def_1258,type,
    bit_concat_bit: ( nat * int ) > fun(int,int) ).

tff(func_def_1259,type,
    bit_or_not_num_neg: ( num * num ) > num ).

tff(func_def_1260,type,
    bit_or3848514188828904588eg_rel: fun(product_prod(num,num),fun(product_prod(num,num),$o)) ).

tff(func_def_1261,type,
    bit_ri4277139882892585799ns_not: 
      !>[X0: $tType] : fun(X0,X0) ).

tff(func_def_1262,type,
    bit_ri4674362597316999326ke_bit: 
      !>[X0: $tType] : ( nat > fun(X0,X0) ) ).

tff(func_def_1263,type,
    bit_se5824344872417868541ns_and: 
      !>[X0: $tType] : fun(X0,fun(X0,X0)) ).

tff(func_def_1264,type,
    bit_se4197421643247451524op_bit: 
      !>[X0: $tType] : ( nat > fun(X0,X0) ) ).

tff(func_def_1265,type,
    bit_se8732182000553998342ip_bit: 
      !>[X0: $tType] : ( ( nat * X0 ) > X0 ) ).

tff(func_def_1266,type,
    bit_se2239418461657761734s_mask: 
      !>[X0: $tType] : ( nat > X0 ) ).

tff(func_def_1267,type,
    bit_se1065995026697491101ons_or: 
      !>[X0: $tType] : fun(X0,fun(X0,X0)) ).

tff(func_def_1268,type,
    bit_se4730199178511100633sh_bit: 
      !>[X0: $tType] : ( nat > fun(X0,X0) ) ).

tff(func_def_1269,type,
    bit_se5668285175392031749et_bit: 
      !>[X0: $tType] : fun(nat,fun(X0,X0)) ).

tff(func_def_1270,type,
    bit_se2584673776208193580ke_bit: 
      !>[X0: $tType] : ( nat > fun(X0,X0) ) ).

tff(func_def_1271,type,
    bit_se2638667681897837118et_bit: 
      !>[X0: $tType] : fun(nat,fun(X0,X0)) ).

tff(func_def_1272,type,
    bit_se5824344971392196577ns_xor: 
      !>[X0: $tType] : fun(X0,fun(X0,X0)) ).

tff(func_def_1273,type,
    bit_se5641148757651400278ts_bit: 
      !>[X0: $tType] : ( X0 > fun(nat,$o) ) ).

tff(func_def_1274,type,
    bit_take_bit_num: ( nat * num ) > option(num) ).

tff(func_def_1275,type,
    bit_un1837492267222099188nd_num: fun(num,fun(num,option(num))) ).

tff(func_def_1276,type,
    bit_un5425074673868309765um_rel: fun(product_prod(num,num),fun(product_prod(num,num),$o)) ).

tff(func_def_1277,type,
    bit_un6178654185764691216or_num: fun(num,fun(num,option(num))) ).

tff(func_def_1278,type,
    bit_un3595099601533988841um_rel: fun(product_prod(num,num),fun(product_prod(num,num),$o)) ).

tff(func_def_1279,type,
    bit_un7362597486090784418nd_num: fun(num,fun(num,option(num))) ).

tff(func_def_1280,type,
    bit_un4731106466462545111um_rel: fun(product_prod(num,num),fun(product_prod(num,num),$o)) ).

tff(func_def_1281,type,
    bit_un2480387367778600638or_num: fun(num,fun(num,option(num))) ).

tff(func_def_1282,type,
    bit_un2901131394128224187um_rel: fun(product_prod(num,num),fun(product_prod(num,num),$o)) ).

tff(func_def_1283,type,
    code_bit_cut_integer: code_integer > product_prod(code_integer,$o) ).

tff(func_def_1284,type,
    code_divmod_abs: ( code_integer * code_integer ) > product_prod(code_integer,code_integer) ).

tff(func_def_1285,type,
    code_divmod_integer: ( code_integer * code_integer ) > product_prod(code_integer,code_integer) ).

tff(func_def_1286,type,
    code_dup: fun(code_integer,code_integer) ).

tff(func_def_1287,type,
    code_int_of_integer: fun(code_integer,int) ).

tff(func_def_1288,type,
    code_integer_of_int: fun(int,code_integer) ).

tff(func_def_1289,type,
    code_integer_of_num: fun(num,code_integer) ).

tff(func_def_1290,type,
    code_nat_of_integer: code_integer > nat ).

tff(func_def_1291,type,
    code_negative: fun(num,code_integer) ).

tff(func_def_1292,type,
    code_num_of_integer: code_integer > num ).

tff(func_def_1293,type,
    code_positive: fun(num,code_integer) ).

tff(func_def_1294,type,
    code_sub: fun(num,fun(num,code_integer)) ).

tff(func_def_1295,type,
    code_Target_negative: fun(num,int) ).

tff(func_def_1296,type,
    code_Target_positive: fun(num,int) ).

tff(func_def_1297,type,
    complete_Inf_Inf: 
      !>[X0: $tType] : fun(set(X0),X0) ).

tff(func_def_1298,type,
    complete_Sup_Sup: 
      !>[X0: $tType] : fun(set(X0),X0) ).

tff(func_def_1299,type,
    arg: complex > real ).

tff(func_def_1300,type,
    cis: real > complex ).

tff(func_def_1301,type,
    cnj: complex > complex ).

tff(func_def_1302,type,
    complex2: ( real * real ) > complex ).

tff(func_def_1303,type,
    im: complex > real ).

tff(func_def_1304,type,
    re: complex > real ).

tff(func_def_1305,type,
    csqrt: complex > complex ).

tff(func_def_1306,type,
    imaginary_unit: complex ).

tff(func_def_1307,type,
    adjust_div: product_prod(int,int) > int ).

tff(func_def_1308,type,
    adjust_mod: ( int * int ) > int ).

tff(func_def_1309,type,
    divmod_nat: ( nat * nat ) > product_prod(nat,nat) ).

tff(func_def_1310,type,
    unique8689654367752047608divmod: 
      !>[X0: $tType] : ( ( num * num ) > product_prod(X0,X0) ) ).

tff(func_def_1311,type,
    unique1321980374590559556d_step: 
      !>[X0: $tType] : ( ( num * product_prod(X0,X0) ) > product_prod(X0,X0) ) ).

tff(func_def_1312,type,
    comm_s3205402744901411588hammer: 
      !>[X0: $tType] : ( ( X0 * nat ) > X0 ) ).

tff(func_def_1313,type,
    semiring_char_0_fact: 
      !>[X0: $tType] : ( nat > X0 ) ).

tff(func_def_1314,type,
    inverse_inverse: 
      !>[X0: $tType] : fun(X0,X0) ).

tff(func_def_1315,type,
    at_bot: 
      !>[X0: $tType] : filter(X0) ).

tff(func_def_1316,type,
    at_top: 
      !>[X0: $tType] : filter(X0) ).

tff(func_def_1317,type,
    filtercomap: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * filter(X1) ) > filter(X0) ) ).

tff(func_def_1318,type,
    map_filter_on: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,X1) * filter(X0) ) > filter(X1) ) ).

tff(func_def_1319,type,
    principal: 
      !>[X0: $tType] : fun(set(X0),filter(X0)) ).

tff(func_def_1320,type,
    finite_Fpow: 
      !>[X0: $tType] : ( set(X0) > set(set(X0)) ) ).

tff(func_def_1321,type,
    finite_card: 
      !>[X0: $tType] : fun(set(X0),nat) ).

tff(func_def_1322,type,
    finite_finite2: 
      !>[X0: $tType] : fun(set(X0),$o) ).

tff(func_def_1323,type,
    finite_fold: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,fun(X1,X1)) * X1 * set(X0) ) > X1 ) ).

tff(func_def_1324,type,
    comp: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( fun(X0,X1) > fun(fun(X2,X0),fun(X2,X1)) ) ).

tff(func_def_1325,type,
    id: 
      !>[X0: $tType] : fun(X0,X0) ).

tff(func_def_1326,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_1327,type,
    the_inv_into: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,X1) * X1 ) > X0 ) ).

tff(func_def_1328,type,
    gcd_Gcd: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_1329,type,
    bezw: ( nat * nat ) > product_prod(int,int) ).

tff(func_def_1330,type,
    bezw_rel: fun(product_prod(nat,nat),fun(product_prod(nat,nat),$o)) ).

tff(func_def_1331,type,
    gcd_gcd: 
      !>[X0: $tType] : fun(X0,fun(X0,X0)) ).

tff(func_def_1332,type,
    gcd_nat_rel: fun(product_prod(nat,nat),fun(product_prod(nat,nat),$o)) ).

tff(func_def_1333,type,
    semiri4206861660011772517g_char: 
      !>[X0: $tType] : ( itself(X0) > nat ) ).

tff(func_def_1334,type,
    abs_abs: 
      !>[X0: $tType] : fun(X0,X0) ).

tff(func_def_1335,type,
    minus_minus: 
      !>[X0: $tType] : fun(X0,fun(X0,X0)) ).

tff(func_def_1336,type,
    one_one: 
      !>[X0: $tType] : X0 ).

tff(func_def_1337,type,
    plus_plus: 
      !>[X0: $tType] : fun(X0,fun(X0,X0)) ).

tff(func_def_1338,type,
    sgn_sgn: 
      !>[X0: $tType] : fun(X0,X0) ).

tff(func_def_1339,type,
    times_times: 
      !>[X0: $tType] : fun(X0,fun(X0,X0)) ).

tff(func_def_1340,type,
    uminus_uminus: 
      !>[X0: $tType] : fun(X0,X0) ).

tff(func_def_1341,type,
    zero_zero: 
      !>[X0: $tType] : X0 ).

tff(func_def_1342,type,
    groups7311177749621191930dd_sum: 
      !>[X0: $tType,X1: $tType] : ( fun(X0,X1) > fun(set(X0),X1) ) ).

tff(func_def_1343,type,
    groups1027152243600224163dd_sum: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * set(X0) ) > X1 ) ).

tff(func_def_1344,type,
    groups7121269368397514597t_prod: 
      !>[X0: $tType,X1: $tType] : fun(fun(X0,X1),fun(set(X0),X1)) ).

tff(func_def_1345,type,
    groups1962203154675924110t_prod: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * set(X0) ) > X1 ) ).

tff(func_def_1346,type,
    groups4207007520872428315er_sum: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * X1 * list(X0) ) > X1 ) ).

tff(func_def_1347,type,
    the: 
      !>[X0: $tType] : ( fun(X0,$o) > X0 ) ).

tff(func_def_1348,type,
    abs_Integ: fun(product_prod(nat,nat),int) ).

tff(func_def_1349,type,
    rep_Integ: fun(int,product_prod(nat,nat)) ).

tff(func_def_1350,type,
    int_ge_less_than: int > set(product_prod(int,int)) ).

tff(func_def_1351,type,
    int_ge_less_than2: int > set(product_prod(int,int)) ).

tff(func_def_1352,type,
    nat2: fun(int,nat) ).

tff(func_def_1353,type,
    ring_1_Ints: 
      !>[X0: $tType] : set(X0) ).

tff(func_def_1354,type,
    ring_1_of_int: 
      !>[X0: $tType] : fun(int,X0) ).

tff(func_def_1355,type,
    inf_inf: 
      !>[X0: $tType] : fun(X0,fun(X0,X0)) ).

tff(func_def_1356,type,
    sup_sup: 
      !>[X0: $tType] : fun(X0,fun(X0,X0)) ).

tff(func_def_1357,type,
    lattices_Min: 
      !>[X0: $tType] : ( fun(X0,fun(X0,$o)) > fun(set(X0),X0) ) ).

tff(func_def_1358,type,
    lattic643756798349783984er_Max: 
      !>[X0: $tType] : fun(set(X0),X0) ).

tff(func_def_1359,type,
    lattic7623131987881927897min_on: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * set(X0) ) > X0 ) ).

tff(func_def_1360,type,
    lattic7752659483105999362nf_fin: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_1361,type,
    lattic5882676163264333800up_fin: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_1362,type,
    at_infinity: 
      !>[X0: $tType] : filter(X0) ).

tff(func_def_1363,type,
    append: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) ) > list(X0) ) ).

tff(func_def_1364,type,
    concat: 
      !>[X0: $tType] : ( list(list(X0)) > list(X0) ) ).

tff(func_def_1365,type,
    count_list: 
      !>[X0: $tType] : ( list(X0) > fun(X0,nat) ) ).

tff(func_def_1366,type,
    enumerate: 
      !>[X0: $tType] : ( ( nat * list(X0) ) > list(product_prod(nat,X0)) ) ).

tff(func_def_1367,type,
    extract: 
      !>[X0: $tType] : ( ( fun(X0,$o) * list(X0) ) > option(product_prod(list(X0),product_prod(X0,list(X0)))) ) ).

tff(func_def_1368,type,
    lenlex: 
      !>[X0: $tType] : ( set(product_prod(X0,X0)) > set(product_prod(list(X0),list(X0))) ) ).

tff(func_def_1369,type,
    lex: 
      !>[X0: $tType] : ( set(product_prod(X0,X0)) > set(product_prod(list(X0),list(X0))) ) ).

tff(func_def_1370,type,
    lexn: 
      !>[X0: $tType] : ( set(product_prod(X0,X0)) > fun(nat,set(product_prod(list(X0),list(X0)))) ) ).

tff(func_def_1371,type,
    lexord: 
      !>[X0: $tType] : ( set(product_prod(X0,X0)) > set(product_prod(list(X0),list(X0))) ) ).

tff(func_def_1372,type,
    linorder_insort_key: 
      !>[X0: $tType,X1: $tType] : ( fun(X0,X1) > fun(X0,fun(list(X0),list(X0))) ) ).

tff(func_def_1373,type,
    linord144544945434240204of_set: 
      !>[X0: $tType,X1: $tType] : ( fun(X0,X1) > fun(set(X0),list(X0)) ) ).

tff(func_def_1374,type,
    linord4507533701916653071of_set: 
      !>[X0: $tType] : fun(set(X0),list(X0)) ).

tff(func_def_1375,type,
    cons: 
      !>[X0: $tType] : ( X0 > fun(list(X0),list(X0)) ) ).

tff(func_def_1376,type,
    nil: 
      !>[X0: $tType] : list(X0) ).

tff(func_def_1377,type,
    set2: 
      !>[X0: $tType] : fun(list(X0),set(X0)) ).

tff(func_def_1378,type,
    size_list: 
      !>[X0: $tType] : ( ( fun(X0,nat) * list(X0) ) > nat ) ).

tff(func_def_1379,type,
    list_update: 
      !>[X0: $tType] : ( ( list(X0) * nat * X0 ) > list(X0) ) ).

tff(func_def_1380,type,
    listrel1: 
      !>[X0: $tType] : ( set(product_prod(X0,X0)) > set(product_prod(list(X0),list(X0))) ) ).

tff(func_def_1381,type,
    listset: 
      !>[X0: $tType] : ( list(set(X0)) > set(list(X0)) ) ).

tff(func_def_1382,type,
    n_lists: 
      !>[X0: $tType] : ( ( nat * list(X0) ) > list(list(X0)) ) ).

tff(func_def_1383,type,
    nth: 
      !>[X0: $tType] : ( list(X0) > fun(nat,X0) ) ).

tff(func_def_1384,type,
    nths: 
      !>[X0: $tType] : ( ( list(X0) * set(nat) ) > list(X0) ) ).

tff(func_def_1385,type,
    product: 
      !>[X0: $tType,X1: $tType] : ( ( list(X0) * list(X1) ) > list(product_prod(X0,X1)) ) ).

tff(func_def_1386,type,
    product_lists: 
      !>[X0: $tType] : ( list(list(X0)) > list(list(X0)) ) ).

tff(func_def_1387,type,
    remdups: 
      !>[X0: $tType] : ( list(X0) > list(X0) ) ).

tff(func_def_1388,type,
    remove1: 
      !>[X0: $tType] : ( ( X0 * list(X0) ) > list(X0) ) ).

tff(func_def_1389,type,
    removeAll: 
      !>[X0: $tType] : ( ( X0 * list(X0) ) > list(X0) ) ).

tff(func_def_1390,type,
    replicate: 
      !>[X0: $tType] : ( ( nat * X0 ) > list(X0) ) ).

tff(func_def_1391,type,
    rotate1: 
      !>[X0: $tType] : ( list(X0) > list(X0) ) ).

tff(func_def_1392,type,
    set_Cons: 
      !>[X0: $tType] : ( ( set(X0) * set(list(X0)) ) > set(list(X0)) ) ).

tff(func_def_1393,type,
    shuffles: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) ) > set(list(X0)) ) ).

tff(func_def_1394,type,
    shuffles_rel: 
      !>[X0: $tType] : fun(product_prod(list(X0),list(X0)),fun(product_prod(list(X0),list(X0)),$o)) ).

tff(func_def_1395,type,
    splice: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) ) > list(X0) ) ).

tff(func_def_1396,type,
    splice_rel: 
      !>[X0: $tType] : fun(product_prod(list(X0),list(X0)),fun(product_prod(list(X0),list(X0)),$o)) ).

tff(func_def_1397,type,
    subseqs: 
      !>[X0: $tType] : ( list(X0) > list(list(X0)) ) ).

tff(func_def_1398,type,
    union: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) ) > list(X0) ) ).

tff(func_def_1399,type,
    upto: ( int * int ) > list(int) ).

tff(func_def_1400,type,
    upto_aux: ( int * int * list(int) ) > list(int) ).

tff(func_def_1401,type,
    upto_rel: fun(product_prod(int,int),fun(product_prod(int,int),$o)) ).

tff(func_def_1402,type,
    suc: fun(nat,nat) ).

tff(func_def_1403,type,
    compow: 
      !>[X0: $tType] : fun(nat,fun(X0,X0)) ).

tff(func_def_1404,type,
    funpow: 
      !>[X0: $tType] : fun(nat,fun(fun(X0,X0),fun(X0,X0))) ).

tff(func_def_1405,type,
    case_nat: 
      !>[X0: $tType] : ( ( X0 * fun(nat,X0) * nat ) > X0 ) ).

tff(func_def_1406,type,
    pred: nat > nat ).

tff(func_def_1407,type,
    rec_nat: 
      !>[X0: $tType] : ( ( X0 * fun(nat,fun(X0,X0)) ) > fun(nat,X0) ) ).

tff(func_def_1408,type,
    rec_set_nat: 
      !>[X0: $tType] : ( ( X0 * fun(nat,fun(X0,X0)) * nat ) > fun(X0,$o) ) ).

tff(func_def_1409,type,
    semiring_1_Nats: 
      !>[X0: $tType] : set(X0) ).

tff(func_def_1410,type,
    semiring_1_of_nat: 
      !>[X0: $tType] : fun(nat,X0) ).

tff(func_def_1411,type,
    semiri8178284476397505188at_aux: 
      !>[X0: $tType] : ( ( fun(X0,X0) * nat * X0 ) > X0 ) ).

tff(func_def_1412,type,
    size_size: 
      !>[X0: $tType] : fun(X0,nat) ).

tff(func_def_1413,type,
    nat_list_encode: list(nat) > nat ).

tff(func_def_1414,type,
    nat_list_encode_rel: fun(list(nat),fun(list(nat),$o)) ).

tff(func_def_1415,type,
    nat_prod_decode_aux: ( nat * nat ) > product_prod(nat,nat) ).

tff(func_def_1416,type,
    nat_pr5047031295181774490ux_rel: fun(product_prod(nat,nat),fun(product_prod(nat,nat),$o)) ).

tff(func_def_1417,type,
    nat_prod_encode: fun(product_prod(nat,nat),nat) ).

tff(func_def_1418,type,
    nat_set_decode: nat > set(nat) ).

tff(func_def_1419,type,
    nat_set_encode: fun(set(nat),nat) ).

tff(func_def_1420,type,
    nat_triangle: nat > nat ).

tff(func_def_1421,type,
    root: nat > fun(real,real) ).

tff(func_def_1422,type,
    sqrt: fun(real,real) ).

tff(func_def_1423,type,
    bitM: num > num ).

tff(func_def_1424,type,
    inc: num > num ).

tff(func_def_1425,type,
    neg_numeral_dbl: 
      !>[X0: $tType] : ( X0 > X0 ) ).

tff(func_def_1426,type,
    neg_numeral_dbl_dec: 
      !>[X0: $tType] : ( X0 > X0 ) ).

tff(func_def_1427,type,
    neg_numeral_dbl_inc: 
      !>[X0: $tType] : ( X0 > X0 ) ).

tff(func_def_1428,type,
    neg_numeral_sub: 
      !>[X0: $tType] : ( ( num * num ) > X0 ) ).

tff(func_def_1429,type,
    bit0: fun(num,num) ).

tff(func_def_1430,type,
    bit1: fun(num,num) ).

tff(func_def_1431,type,
    one2: num ).

tff(func_def_1432,type,
    case_num: 
      !>[X0: $tType] : ( ( X0 * fun(num,X0) * fun(num,X0) * num ) > X0 ) ).

tff(func_def_1433,type,
    size_num: num > nat ).

tff(func_def_1434,type,
    num_of_nat: nat > num ).

tff(func_def_1435,type,
    numeral_numeral: 
      !>[X0: $tType] : fun(num,X0) ).

tff(func_def_1436,type,
    pow: ( num * num ) > num ).

tff(func_def_1437,type,
    pred_numeral: num > nat ).

tff(func_def_1438,type,
    sqr: num > num ).

tff(func_def_1439,type,
    none: 
      !>[X0: $tType] : option(X0) ).

tff(func_def_1440,type,
    some: 
      !>[X0: $tType] : fun(X0,option(X0)) ).

tff(func_def_1441,type,
    case_option: 
      !>[X0: $tType,X1: $tType] : ( ( X0 * fun(X1,X0) * option(X1) ) > X0 ) ).

tff(func_def_1442,type,
    map_option: 
      !>[X0: $tType,X1: $tType] : ( fun(X0,X1) > fun(option(X0),option(X1)) ) ).

tff(func_def_1443,type,
    size_option: 
      !>[X0: $tType] : ( ( fun(X0,nat) * option(X0) ) > nat ) ).

tff(func_def_1444,type,
    the2: 
      !>[X0: $tType] : fun(option(X0),X0) ).

tff(func_def_1445,type,
    these: 
      !>[X0: $tType] : ( set(option(X0)) > set(X0) ) ).

tff(func_def_1446,type,
    order_532582986084564980_cclfp: 
      !>[X0: $tType] : ( fun(X0,X0) > X0 ) ).

tff(func_def_1447,type,
    bot_bot: 
      !>[X0: $tType] : X0 ).

tff(func_def_1448,type,
    least: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,$o)) * fun(X0,$o) ) > X0 ) ).

tff(func_def_1449,type,
    ord_less: 
      !>[X0: $tType] : fun(X0,fun(X0,$o)) ).

tff(func_def_1450,type,
    ord_less_eq: 
      !>[X0: $tType] : fun(X0,fun(X0,$o)) ).

tff(func_def_1451,type,
    ord_max: 
      !>[X0: $tType] : fun(X0,fun(X0,X0)) ).

tff(func_def_1452,type,
    order_Greatest: 
      !>[X0: $tType] : ( fun(X0,$o) > X0 ) ).

tff(func_def_1453,type,
    top_top: 
      !>[X0: $tType] : X0 ).

tff(func_def_1454,type,
    power_power: 
      !>[X0: $tType] : fun(X0,fun(nat,X0)) ).

tff(func_def_1455,type,
    product_Pair: 
      !>[X0: $tType,X1: $tType] : fun(X0,fun(X1,product_prod(X0,X1))) ).

tff(func_def_1456,type,
    product_apfst: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( fun(X0,X1) * product_prod(X0,X2) ) > product_prod(X1,X2) ) ).

tff(func_def_1457,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_1458,type,
    product_rec_prod: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( fun(X0,fun(X1,X2)) * product_prod(X0,X1) ) > X2 ) ).

tff(func_def_1459,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_1460,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_1461,type,
    product_fst: 
      !>[X0: $tType,X1: $tType] : fun(product_prod(X0,X1),X0) ).

tff(func_def_1462,type,
    product_snd: 
      !>[X0: $tType,X1: $tType] : fun(product_prod(X0,X1),X1) ).

tff(func_def_1463,type,
    fract: ( int * int ) > rat ).

tff(func_def_1464,type,
    frct: product_prod(int,int) > rat ).

tff(func_def_1465,type,
    field_char_0_Rats: 
      !>[X0: $tType] : set(X0) ).

tff(func_def_1466,type,
    normalize: product_prod(int,int) > product_prod(int,int) ).

tff(func_def_1467,type,
    of_int: int > rat ).

tff(func_def_1468,type,
    quotient_of: rat > product_prod(int,int) ).

tff(func_def_1469,type,
    real_Vector_Reals: 
      !>[X0: $tType] : set(X0) ).

tff(func_def_1470,type,
    real_V557655796197034286t_dist: 
      !>[X0: $tType] : ( ( X0 * X0 ) > real ) ).

tff(func_def_1471,type,
    real_V7770717601297561774m_norm: 
      !>[X0: $tType] : ( X0 > real ) ).

tff(func_def_1472,type,
    real_Vector_of_real: 
      !>[X0: $tType] : fun(real,X0) ).

tff(func_def_1473,type,
    real_V8093663219630862766scaleR: 
      !>[X0: $tType] : ( real > fun(X0,X0) ) ).

tff(func_def_1474,type,
    id_on: 
      !>[X0: $tType] : ( set(X0) > set(product_prod(X0,X0)) ) ).

tff(func_def_1475,type,
    divide_divide: 
      !>[X0: $tType] : fun(X0,fun(X0,X0)) ).

tff(func_def_1476,type,
    dvd_dvd: 
      !>[X0: $tType] : fun(X0,fun(X0,$o)) ).

tff(func_def_1477,type,
    modulo_modulo: 
      !>[X0: $tType] : ( ( X0 * X0 ) > X0 ) ).

tff(func_def_1478,type,
    zero_neq_one_of_bool: 
      !>[X0: $tType] : fun($o,X0) ).

tff(func_def_1479,type,
    suminf: 
      !>[X0: $tType] : ( fun(nat,X0) > X0 ) ).

tff(func_def_1480,type,
    sums: 
      !>[X0: $tType] : ( fun(nat,X0) > fun(X0,$o) ) ).

tff(func_def_1481,type,
    ball: 
      !>[X0: $tType] : fun(set(X0),fun(fun(X0,$o),$o)) ).

tff(func_def_1482,type,
    collect: 
      !>[X0: $tType] : fun(fun(X0,$o),set(X0)) ).

tff(func_def_1483,type,
    pow2: 
      !>[X0: $tType] : ( set(X0) > set(set(X0)) ) ).

tff(func_def_1484,type,
    filter2: 
      !>[X0: $tType] : ( ( fun(X0,$o) * set(X0) ) > set(X0) ) ).

tff(func_def_1485,type,
    image: 
      !>[X0: $tType,X1: $tType] : ( fun(X0,X1) > fun(set(X0),set(X1)) ) ).

tff(func_def_1486,type,
    insert: 
      !>[X0: $tType] : ( X0 > fun(set(X0),set(X0)) ) ).

tff(func_def_1487,type,
    the_elem: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_1488,type,
    set_fo6178422350223883121st_nat: 
      !>[X0: $tType] : ( ( fun(nat,fun(X0,X0)) * nat * nat * X0 ) > X0 ) ).

tff(func_def_1489,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_1490,type,
    set_ord_atLeast: 
      !>[X0: $tType] : fun(X0,set(X0)) ).

tff(func_def_1491,type,
    set_or1337092689740270186AtMost: 
      !>[X0: $tType] : ( ( X0 * X0 ) > set(X0) ) ).

tff(func_def_1492,type,
    set_or7035219750837199246ssThan: 
      !>[X0: $tType] : ( ( X0 * X0 ) > set(X0) ) ).

tff(func_def_1493,type,
    set_ord_atMost: 
      !>[X0: $tType] : fun(X0,set(X0)) ).

tff(func_def_1494,type,
    set_ord_greaterThan: 
      !>[X0: $tType] : fun(X0,set(X0)) ).

tff(func_def_1495,type,
    set_or3652927894154168847AtMost: 
      !>[X0: $tType] : ( ( X0 * X0 ) > set(X0) ) ).

tff(func_def_1496,type,
    set_or5935395276787703475ssThan: 
      !>[X0: $tType] : ( ( X0 * X0 ) > set(X0) ) ).

tff(func_def_1497,type,
    set_ord_lessThan: 
      !>[X0: $tType] : fun(X0,set(X0)) ).

tff(func_def_1498,type,
    ascii_of: char > char ).

tff(func_def_1499,type,
    char2: ( $o * $o * $o * $o * $o * $o * $o ) > fun($o,char) ).

tff(func_def_1500,type,
    char_of_integer: code_integer > char ).

tff(func_def_1501,type,
    comm_s6883823935334413003f_char: 
      !>[X0: $tType] : fun(char,X0) ).

tff(func_def_1502,type,
    integer_of_char: char > code_integer ).

tff(func_def_1503,type,
    unique5772411509450598832har_of: 
      !>[X0: $tType] : fun(X0,char) ).

tff(func_def_1504,type,
    topolo8378437560675496660pology: 
      !>[X0: $tType] : ( set(set(X0)) > fun(set(X0),$o) ) ).

tff(func_def_1505,type,
    topolo1002775350975398744n_open: 
      !>[X0: $tType] : fun(set(X0),$o) ).

tff(func_def_1506,type,
    topolo3827282254853284352ce_Lim: 
      !>[X0: $tType,X1: $tType] : ( ( filter(X0) * fun(X0,X1) ) > X1 ) ).

tff(func_def_1507,type,
    topolo174197925503356063within: 
      !>[X0: $tType] : ( ( X0 * set(X0) ) > filter(X0) ) ).

tff(func_def_1508,type,
    topolo7230453075368039082e_nhds: 
      !>[X0: $tType] : ( X0 > filter(X0) ) ).

tff(func_def_1509,type,
    topolo7806501430040627800ormity: 
      !>[X0: $tType] : filter(product_prod(X0,X0)) ).

tff(func_def_1510,type,
    arccos: fun(real,real) ).

tff(func_def_1511,type,
    arcosh: 
      !>[X0: $tType] : fun(X0,X0) ).

tff(func_def_1512,type,
    arcsin: fun(real,real) ).

tff(func_def_1513,type,
    arctan: fun(real,real) ).

tff(func_def_1514,type,
    arsinh: 
      !>[X0: $tType] : fun(X0,X0) ).

tff(func_def_1515,type,
    artanh: 
      !>[X0: $tType] : fun(X0,X0) ).

tff(func_def_1516,type,
    cos: 
      !>[X0: $tType] : ( X0 > X0 ) ).

tff(func_def_1517,type,
    cos_coeff: nat > real ).

tff(func_def_1518,type,
    cosh: 
      !>[X0: $tType] : ( X0 > X0 ) ).

tff(func_def_1519,type,
    cot: 
      !>[X0: $tType] : fun(X0,X0) ).

tff(func_def_1520,type,
    diffs: 
      !>[X0: $tType] : ( fun(nat,X0) > fun(nat,X0) ) ).

tff(func_def_1521,type,
    exp: 
      !>[X0: $tType] : fun(X0,X0) ).

tff(func_def_1522,type,
    ln_ln: 
      !>[X0: $tType] : fun(X0,X0) ).

tff(func_def_1523,type,
    log: real > fun(real,real) ).

tff(func_def_1524,type,
    pi: real ).

tff(func_def_1525,type,
    powr: 
      !>[X0: $tType] : ( ( X0 * X0 ) > X0 ) ).

tff(func_def_1526,type,
    sin: 
      !>[X0: $tType] : ( X0 > X0 ) ).

tff(func_def_1527,type,
    sin_coeff: nat > real ).

tff(func_def_1528,type,
    sinh: 
      !>[X0: $tType] : ( X0 > X0 ) ).

tff(func_def_1529,type,
    tan: 
      !>[X0: $tType] : fun(X0,X0) ).

tff(func_def_1530,type,
    tanh: 
      !>[X0: $tType] : fun(X0,X0) ).

tff(func_def_1531,type,
    vEBT_Leaf: ( $o * $o ) > vEBT_VEBT ).

tff(func_def_1532,type,
    vEBT_Node: ( option(product_prod(nat,nat)) * nat * list(vEBT_VEBT) * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_1533,type,
    vEBT_size_VEBT: fun(vEBT_VEBT,nat) ).

tff(func_def_1534,type,
    vEBT_V8194947554948674370ptions: vEBT_VEBT > fun(nat,$o) ).

tff(func_def_1535,type,
    vEBT_VEBT_high: ( nat * nat ) > nat ).

tff(func_def_1536,type,
    vEBT_VEBT_low: ( nat * nat ) > nat ).

tff(func_def_1537,type,
    vEBT_V4351362008482014158ma_rel: fun(product_prod(vEBT_VEBT,nat),fun(product_prod(vEBT_VEBT,nat),$o)) ).

tff(func_def_1538,type,
    vEBT_V5765760719290551771er_rel: fun(product_prod(vEBT_VEBT,nat),fun(product_prod(vEBT_VEBT,nat),$o)) ).

tff(func_def_1539,type,
    vEBT_VEBT_valid_rel: fun(product_prod(vEBT_VEBT,nat),fun(product_prod(vEBT_VEBT,nat),$o)) ).

tff(func_def_1540,type,
    vEBT_set_vebt: vEBT_VEBT > set(nat) ).

tff(func_def_1541,type,
    vEBT_vebt_buildup: nat > vEBT_VEBT ).

tff(func_def_1542,type,
    vEBT_v4011308405150292612up_rel: fun(nat,fun(nat,$o)) ).

tff(func_def_1543,type,
    vEBT_vebt_insert: ( vEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_1544,type,
    vEBT_vebt_insert_rel: fun(product_prod(vEBT_VEBT,nat),fun(product_prod(vEBT_VEBT,nat),$o)) ).

tff(func_def_1545,type,
    vEBT_VEBT_bit_concat: ( nat * nat * nat ) > nat ).

tff(func_def_1546,type,
    vEBT_V6963167321098673237ll_rel: fun(vEBT_VEBT,fun(vEBT_VEBT,$o)) ).

tff(func_def_1547,type,
    vEBT_VEBT_set_vebt: vEBT_VEBT > set(nat) ).

tff(func_def_1548,type,
    vEBT_vebt_member: vEBT_VEBT > fun(nat,$o) ).

tff(func_def_1549,type,
    vEBT_vebt_member_rel: fun(product_prod(vEBT_VEBT,nat),fun(product_prod(vEBT_VEBT,nat),$o)) ).

tff(func_def_1550,type,
    vEBT_VEBT_add: fun(option(nat),fun(option(nat),option(nat))) ).

tff(func_def_1551,type,
    vEBT_VEBT_mul: fun(option(nat),fun(option(nat),option(nat))) ).

tff(func_def_1552,type,
    vEBT_V2048590022279873568_shift: 
      !>[X0: $tType] : ( fun(X0,fun(X0,X0)) > fun(option(X0),fun(option(X0),option(X0))) ) ).

tff(func_def_1553,type,
    vEBT_V459564278314245337ft_rel: 
      !>[X0: $tType] : fun(product_prod(fun(X0,fun(X0,X0)),product_prod(option(X0),option(X0))),fun(product_prod(fun(X0,fun(X0,X0)),product_prod(option(X0),option(X0))),$o)) ).

tff(func_def_1554,type,
    vEBT_VEBT_power: fun(option(nat),fun(option(nat),option(nat))) ).

tff(func_def_1555,type,
    vEBT_vebt_maxt: vEBT_VEBT > option(nat) ).

tff(func_def_1556,type,
    vEBT_vebt_maxt_rel: fun(vEBT_VEBT,fun(vEBT_VEBT,$o)) ).

tff(func_def_1557,type,
    vEBT_vebt_mint: vEBT_VEBT > option(nat) ).

tff(func_def_1558,type,
    vEBT_vebt_mint_rel: fun(vEBT_VEBT,fun(vEBT_VEBT,$o)) ).

tff(func_def_1559,type,
    vEBT_vebt_succ: ( vEBT_VEBT * nat ) > option(nat) ).

tff(func_def_1560,type,
    vEBT_vebt_succ_rel: fun(product_prod(vEBT_VEBT,nat),fun(product_prod(vEBT_VEBT,nat),$o)) ).

tff(func_def_1561,type,
    accp: 
      !>[X0: $tType] : ( fun(X0,fun(X0,$o)) > fun(X0,$o) ) ).

tff(func_def_1562,type,
    finite_psubset: 
      !>[X0: $tType] : set(product_prod(set(X0),set(X0))) ).

tff(func_def_1563,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_1564,type,
    measure: 
      !>[X0: $tType] : ( fun(X0,nat) > set(product_prod(X0,X0)) ) ).

tff(func_def_1565,type,
    mlex_prod: 
      !>[X0: $tType] : ( ( fun(X0,nat) * set(product_prod(X0,X0)) ) > set(product_prod(X0,X0)) ) ).

tff(func_def_1566,type,
    pred_nat: set(product_prod(nat,nat)) ).

tff(func_def_1567,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_1568,type,
    aa: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * X0 ) > X1 ) ).

tff(func_def_1569,type,
    fChoice: 
      !>[X0: $tType] : ( fun(X0,$o) > X0 ) ).

tff(func_def_1570,type,
    fequal: 
      !>[X0: $tType] : fun(X0,fun(X0,$o)) ).

tff(func_def_1571,type,
    member: 
      !>[X0: $tType] : ( X0 > fun(set(X0),$o) ) ).

tff(func_def_1572,type,
    deg: nat ).

tff(func_def_1573,type,
    ia: nat ).

tff(func_def_1574,type,
    m: nat ).

tff(func_def_1575,type,
    ma: nat ).

tff(func_def_1576,type,
    mi: nat ).

tff(func_def_1577,type,
    na: nat ).

tff(func_def_1578,type,
    summary: vEBT_VEBT ).

tff(func_def_1579,type,
    treeList: list(vEBT_VEBT) ).

tff(func_def_1580,type,
    xa: nat ).

tff(func_def_1581,type,
    h0: nat ).

tff(func_def_1582,type,
    h1: nat ).

tff(func_def_1583,type,
    pos2: nat ).

tff(func_def_1584,type,
    m23: 
      !>[X0: $tType] : X0 ).

tff(func_def_1585,type,
    w4: 
      !>[X0: $tType] : X0 ).

tff(func_def_1586,type,
    pos5: nat ).

tff(func_def_1587,type,
    l6: nat ).

tff(func_def_1588,type,
    h7: nat ).

tff(func_def_1589,type,
    maxlow8: option(nat) ).

tff(func_def_1590,type,
    sc9: option(nat) ).

tff(func_def_1591,type,
    l10: nat ).

tff(func_def_1592,type,
    h11: nat ).

tff(func_def_1593,type,
    maxlow12: option(nat) ).

tff(func_def_1594,type,
    sc13: option(nat) ).

tff(func_def_1595,type,
    l14: nat ).

tff(func_def_1596,type,
    h15: nat ).

tff(func_def_1597,type,
    maxlow16: option(nat) ).

tff(func_def_1598,type,
    sc17: option(nat) ).

tff(func_def_1599,type,
    pos18: nat ).

tff(func_def_1600,type,
    pos19: nat ).

tff(func_def_1601,type,
    pos20: nat ).

tff(func_def_1602,type,
    l21: nat ).

tff(func_def_1603,type,
    h22: nat ).

tff(func_def_1604,type,
    maxlow23: option(nat) ).

tff(func_def_1605,type,
    sc24: option(nat) ).

tff(func_def_1606,type,
    pos25: nat ).

tff(func_def_1607,type,
    pos26: nat ).

tff(func_def_1608,type,
    pos27: nat ).

tff(func_def_1609,type,
    h28: nat ).

tff(func_def_1610,type,
    pos29: nat ).

tff(func_def_1611,type,
    pos30: nat ).

tff(func_def_1612,type,
    pos31: nat ).

tff(func_def_1613,type,
    pos32: nat ).

tff(func_def_1614,type,
    h33: nat ).

tff(func_def_1615,type,
    h34: nat ).

tff(func_def_1616,type,
    l35: nat ).

tff(func_def_1617,type,
    h36: nat ).

tff(func_def_1618,type,
    maxlow37: option(nat) ).

tff(func_def_1619,type,
    sc38: option(nat) ).

tff(func_def_1620,type,
    h39: nat ).

tff(func_def_1621,type,
    h40: nat ).

tff(func_def_1622,type,
    pos41: nat ).

tff(func_def_1623,type,
    pos42: nat ).

tff(func_def_1624,type,
    pos43: nat ).

tff(func_def_1625,type,
    h44: nat ).

tff(func_def_1626,type,
    pos45: nat ).

tff(func_def_1627,type,
    pos46: nat ).

tff(func_def_1628,type,
    pos47: nat ).

tff(func_def_1629,type,
    pos48: nat ).

tff(func_def_1630,type,
    pos49: nat ).

tff(func_def_1631,type,
    pos50: nat ).

tff(func_def_1632,type,
    xn51: nat ).

tff(func_def_1633,type,
    h52: nat ).

tff(func_def_1634,type,
    xn53: nat ).

tff(func_def_1635,type,
    h54: nat ).

tff(func_def_1636,type,
    xn55: nat ).

tff(func_def_1637,type,
    h56: nat ).

tff(func_def_1638,type,
    half57: nat ).

tff(func_def_1639,type,
    half58: nat ).

tff(func_def_1640,type,
    half59: nat ).

tff(func_def_1641,type,
    half60: nat ).

tff(func_def_1642,type,
    half61: nat ).

tff(func_def_1643,type,
    half62: nat ).

tff(func_def_1644,type,
    m263: 
      !>[X0: $tType] : X0 ).

tff(func_def_1645,type,
    w64: 
      !>[X0: $tType] : X0 ).

tff(func_def_1646,type,
    l65: 
      !>[X0: $tType] : X0 ).

tff(func_def_1647,type,
    d66: int ).

tff(func_def_1648,type,
    l67: 
      !>[X0: $tType] : X0 ).

tff(func_def_1649,type,
    l68: code_integer ).

tff(func_def_1650,type,
    k69: code_integer ).

tff(func_def_1651,type,
    k70: code_integer ).

tff(func_def_1652,type,
    pv71: nat ).

tff(func_def_1653,type,
    pv72: nat ).

tff(func_def_1654,type,
    a273: int ).

tff(func_def_1655,type,
    a274: int ).

tff(func_def_1656,type,
    n75: nat ).

tff(func_def_1657,type,
    m276: nat ).

tff(func_def_1658,type,
    n77: nat ).

tff(func_def_1659,type,
    m278: nat ).

tff(func_def_1660,type,
    n79: nat ).

tff(func_def_1661,type,
    m280: nat ).

tff(func_def_1662,type,
    n81: nat ).

tff(func_def_1663,type,
    m282: nat ).

tff(func_def_1664,type,
    n83: nat ).

tff(func_def_1665,type,
    m284: nat ).

tff(func_def_1666,type,
    n85: nat ).

tff(func_def_1667,type,
    m286: nat ).

tff(func_def_1668,type,
    n87: nat ).

tff(func_def_1669,type,
    m288: nat ).

tff(func_def_1670,type,
    a389: 
      !>[X0: $tType] : set(set(X0)) ).

tff(func_def_1671,type,
    l290: int ).

tff(func_def_1672,type,
    m391: a ).

tff(func_def_1673,type,
    l292: num ).

tff(func_def_1674,type,
    l393: num ).

tff(func_def_1675,type,
    l294: nat ).

tff(func_def_1676,type,
    l395: nat ).

tff(func_def_1679,type,
    iG96: $o ).

tff(func_def_1680,type,
    iG97: $o ).

tff(func_def_1681,type,
    iG98: $o ).

tff(func_def_1682,type,
    iG99: $o ).

tff(func_def_1683,type,
    iG100: $o ).

tff(func_def_1684,type,
    lG101: ( nat * nat ) > nat ).

tff(func_def_1685,type,
    iG102: ( list(vEBT_VEBT) * nat * nat ) > $o ).

tff(func_def_1686,type,
    iG103: ( nat * nat * nat * list(vEBT_VEBT) ) > $o ).

tff(func_def_1687,type,
    iG104: ( nat * nat * nat * nat * list(vEBT_VEBT) ) > $o ).

tff(func_def_1688,type,
    iG105: ( nat * nat * nat * nat * list(vEBT_VEBT) ) > $o ).

tff(func_def_1689,type,
    iG106: ( nat * nat * nat * nat * list(vEBT_VEBT) ) > $o ).

tff(func_def_1690,type,
    lG107: ( nat * nat ) > nat ).

tff(func_def_1691,type,
    iG109: ( nat * nat ) > nat ).

tff(func_def_1692,type,
    lG110: 
      !>[X0: $tType] : ( num > X0 ) ).

tff(func_def_1693,type,
    lG111: 
      !>[X0: $tType] : ( ( X0 * num ) > X0 ) ).

tff(func_def_1694,type,
    lG112: ( nat * nat ) > nat ).

tff(func_def_1695,type,
    iG114: option(nat) ).

tff(func_def_1696,type,
    iG115: option(nat) ).

tff(func_def_1697,type,
    iG116: option(nat) ).

tff(func_def_1698,type,
    lG117: ( nat * nat ) > nat ).

tff(func_def_1699,type,
    lG118: ( nat * nat ) > nat ).

tff(func_def_1700,type,
    lG119: ( list(vEBT_VEBT) * nat * nat ) > option(nat) ).

tff(func_def_1701,type,
    lG120: ( vEBT_VEBT * nat * nat ) > option(nat) ).

tff(func_def_1702,type,
    iG121: ( nat * nat * vEBT_VEBT * list(vEBT_VEBT) ) > option(nat) ).

tff(func_def_1703,type,
    iG122: ( nat * nat * list(vEBT_VEBT) * vEBT_VEBT ) > option(nat) ).

tff(func_def_1704,type,
    lG123: ( nat * nat ) > nat ).

tff(func_def_1705,type,
    lG124: ( nat * nat ) > nat ).

tff(func_def_1706,type,
    lG125: ( list(vEBT_VEBT) * nat * nat ) > option(nat) ).

tff(func_def_1707,type,
    lG126: ( vEBT_VEBT * nat * nat ) > option(nat) ).

tff(func_def_1708,type,
    iG127: ( nat * nat * vEBT_VEBT * list(vEBT_VEBT) ) > option(nat) ).

tff(func_def_1709,type,
    iG128: ( nat * nat * list(vEBT_VEBT) * vEBT_VEBT ) > option(nat) ).

tff(func_def_1710,type,
    iG129: ( list(vEBT_VEBT) * nat * nat * vEBT_VEBT ) > option(nat) ).

tff(func_def_1711,type,
    lG130: ( nat * nat ) > nat ).

tff(func_def_1712,type,
    lG131: ( nat * nat ) > nat ).

tff(func_def_1713,type,
    lG132: ( list(vEBT_VEBT) * nat * nat ) > option(nat) ).

tff(func_def_1714,type,
    lG133: ( vEBT_VEBT * nat * nat ) > option(nat) ).

tff(func_def_1715,type,
    iG134: ( nat * nat * vEBT_VEBT * list(vEBT_VEBT) ) > option(nat) ).

tff(func_def_1716,type,
    iG135: ( nat * nat * list(vEBT_VEBT) * vEBT_VEBT ) > option(nat) ).

tff(func_def_1717,type,
    iG136: ( list(vEBT_VEBT) * nat * nat * vEBT_VEBT ) > option(nat) ).

tff(func_def_1718,type,
    iG137: ( nat * nat * nat * list(vEBT_VEBT) * vEBT_VEBT ) > option(nat) ).

tff(func_def_1719,type,
    lG138: ( nat * nat ) > nat ).

tff(func_def_1720,type,
    lG140: ( nat * nat ) > nat ).

tff(func_def_1721,type,
    lG142: ( nat * nat ) > nat ).

tff(func_def_1722,type,
    iG144: 
      !>[X0: $tType] : ( ( X0 * num * X0 ) > product_prod(X0,X0) ) ).

tff(func_def_1723,type,
    iG145: 
      !>[X0: $tType] : ( ( X0 * X0 * X0 ) > X0 ) ).

tff(func_def_1724,type,
    iG146: 
      !>[X0: $tType] : ( ( X0 * X0 * X0 ) > X0 ) ).

tff(func_def_1725,type,
    iG147: 
      !>[X0: $tType] : ( X0 > X0 ) ).

tff(func_def_1726,type,
    iG148: ( nat * nat * nat ) > nat ).

tff(func_def_1727,type,
    iG151: 
      !>[X0: $tType] : ( nat > X0 ) ).

tff(func_def_1728,type,
    iG154: 
      !>[X0: $tType] : ( ( X0 * X0 * X0 ) > $o ) ).

tff(func_def_1729,type,
    iG155: 
      !>[X0: $tType] : ( ( X0 * X0 * X0 ) > $o ) ).

tff(func_def_1730,type,
    iG156: 
      !>[X0: $tType] : ( ( X0 * X0 * X0 ) > $o ) ).

tff(func_def_1731,type,
    iG157: 
      !>[X0: $tType] : ( ( X0 * X0 * X0 ) > $o ) ).

tff(func_def_1732,type,
    iG158: 
      !>[X0: $tType] : ( ( X0 * X0 * X0 ) > X0 ) ).

tff(func_def_1733,type,
    iG159: 
      !>[X0: $tType] : ( ( X0 * X0 * X0 ) > X0 ) ).

tff(func_def_1734,type,
    iG160: 
      !>[X0: $tType] : ( ( X0 * X0 * X0 ) > X0 ) ).

tff(func_def_1735,type,
    iG161: ( nat * nat ) > nat ).

tff(func_def_1736,type,
    iG162: 
      !>[X0: $tType] : ( ( X0 * X0 * X0 ) > $o ) ).

tff(func_def_1737,type,
    iG163: 
      !>[X0: $tType] : ( ( X0 * X0 * X0 ) > $o ) ).

tff(func_def_1738,type,
    iG164: 
      !>[X0: $tType] : ( ( X0 * X0 * X0 ) > $o ) ).

tff(func_def_1739,type,
    iG165: 
      !>[X0: $tType] : ( ( X0 * X0 * X0 ) > $o ) ).

tff(func_def_1740,type,
    iG168: 
      !>[X0: $tType] : ( ( X0 * num * X0 ) > $o ) ).

tff(func_def_1741,type,
    iG169: 
      !>[X0: $tType] : ( ( X0 * num * X0 ) > $o ) ).

tff(func_def_1742,type,
    iG170: 
      !>[X0: $tType] : ( ( X0 * num * X0 ) > $o ) ).

tff(func_def_1743,type,
    iG171: 
      !>[X0: $tType] : ( ( X0 * num * X0 ) > $o ) ).

tff(func_def_1744,type,
    iG172: ( nat * nat ) > nat ).

tff(func_def_1745,type,
    iG173: ( nat * nat ) > nat ).

tff(func_def_1746,type,
    iG174: ( nat * nat ) > nat ).

tff(func_def_1747,type,
    iG175: 
      !>[X0: $tType] : ( ( X0 * num * X0 ) > $o ) ).

tff(func_def_1748,type,
    iG176: 
      !>[X0: $tType] : ( ( X0 * num * X0 ) > $o ) ).

tff(func_def_1749,type,
    iG177: 
      !>[X0: $tType] : ( ( X0 * num * X0 ) > $o ) ).

tff(func_def_1750,type,
    iG178: 
      !>[X0: $tType] : ( ( X0 * num * X0 ) > $o ) ).

tff(func_def_1751,type,
    iG179: 
      !>[X0: $tType] : ( ( nat * nat * X0 ) > X0 ) ).

tff(func_def_1752,type,
    iG180: 
      !>[X0: $tType] : ( ( nat * X0 ) > X0 ) ).

tff(func_def_1753,type,
    lG181: ( nat * nat ) > nat ).

tff(func_def_1754,type,
    lG182: ( nat * nat ) > nat ).

tff(func_def_1755,type,
    lG183: ( list(vEBT_VEBT) * nat * nat ) > option(nat) ).

tff(func_def_1756,type,
    lG184: ( vEBT_VEBT * nat * nat ) > option(nat) ).

tff(func_def_1757,type,
    iG185: ( nat * nat * vEBT_VEBT * list(vEBT_VEBT) ) > option(nat) ).

tff(func_def_1758,type,
    iG186: ( nat * nat * list(vEBT_VEBT) * vEBT_VEBT ) > option(nat) ).

tff(func_def_1759,type,
    iG187: ( list(vEBT_VEBT) * nat * nat * vEBT_VEBT ) > option(nat) ).

tff(func_def_1760,type,
    iG188: ( nat * nat * nat * list(vEBT_VEBT) * vEBT_VEBT ) > option(nat) ).

tff(func_def_1761,type,
    bG189: $o > $o ).

tff(func_def_1762,type,
    bG190: $o > $o ).

tff(func_def_1763,type,
    iG191: $o > option(nat) ).

tff(func_def_1764,type,
    bG192: $o > $o ).

tff(func_def_1765,type,
    bG193: $o > $o ).

tff(func_def_1766,type,
    iG194: ( nat * nat ) > nat ).

tff(func_def_1767,type,
    bG195: $o > $o ).

tff(func_def_1768,type,
    bG196: $o > $o ).

tff(func_def_1769,type,
    bG197: $o > $o ).

tff(func_def_1770,type,
    bG198: $o > $o ).

tff(func_def_1771,type,
    bG199: $o > $o ).

tff(func_def_1772,type,
    bG200: $o > $o ).

tff(func_def_1773,type,
    bG201: $o > $o ).

tff(func_def_1774,type,
    bG202: $o > $o ).

tff(func_def_1775,type,
    bG203: $o > $o ).

tff(func_def_1776,type,
    bG204: $o > $o ).

tff(func_def_1777,type,
    bG205: $o > $o ).

tff(func_def_1778,type,
    bG206: $o > $o ).

tff(func_def_1779,type,
    bG207: $o > $o ).

tff(func_def_1780,type,
    bG208: $o > $o ).

tff(func_def_1781,type,
    bG209: $o > $o ).

tff(func_def_1782,type,
    bG210: $o > $o ).

tff(func_def_1783,type,
    iG211: ( int * int ) > int ).

tff(func_def_1784,type,
    bG212: $o > $o ).

tff(func_def_1785,type,
    bG213: $o > $o ).

tff(func_def_1786,type,
    bG214: $o > $o ).

tff(func_def_1787,type,
    bG215: $o > $o ).

tff(func_def_1788,type,
    bG216: $o > $o ).

tff(func_def_1789,type,
    bG217: $o > $o ).

tff(func_def_1790,type,
    bG218: $o > $o ).

tff(func_def_1791,type,
    bG219: $o > $o ).

tff(func_def_1792,type,
    bG220: $o > $o ).

tff(func_def_1793,type,
    bG221: $o > $o ).

tff(func_def_1794,type,
    bG222: $o > $o ).

tff(func_def_1795,type,
    bG223: $o > $o ).

tff(func_def_1796,type,
    bG224: $o > $o ).

tff(func_def_1797,type,
    bG225: $o > $o ).

tff(func_def_1798,type,
    bG226: $o > $o ).

tff(func_def_1799,type,
    bG227: $o > $o ).

tff(func_def_1800,type,
    bG228: $o > $o ).

tff(func_def_1801,type,
    bG229: $o > $o ).

tff(func_def_1802,type,
    iG230: ( nat * $o ) > $o ).

tff(func_def_1803,type,
    iG231: ( nat * $o * $o ) > $o ).

tff(func_def_1804,type,
    bG232: $o > $o ).

tff(func_def_1805,type,
    bG233: $o > $o ).

tff(func_def_1806,type,
    bG234: $o > $o ).

tff(func_def_1807,type,
    bG235: $o > $o ).

tff(func_def_1808,type,
    bG236: $o > $o ).

tff(func_def_1809,type,
    bG237: $o > $o ).

tff(func_def_1810,type,
    bG238: $o > $o ).

tff(func_def_1811,type,
    bG239: $o > $o ).

tff(func_def_1812,type,
    bG240: $o > $o ).

tff(func_def_1813,type,
    bG241: $o > $o ).

tff(func_def_1814,type,
    iG242: ( nat * $o * $o ) > vEBT_VEBT ).

tff(func_def_1815,type,
    iG243: ( nat * $o * $o ) > vEBT_VEBT ).

tff(func_def_1816,type,
    bG246: $o > $o ).

tff(func_def_1817,type,
    bG247: $o > $o ).

tff(func_def_1818,type,
    bG248: $o > $o ).

tff(func_def_1819,type,
    bG249: $o > $o ).

tff(func_def_1820,type,
    bG250: $o > $o ).

tff(func_def_1821,type,
    bG251: $o > $o ).

tff(func_def_1822,type,
    bG252: $o > $o ).

tff(func_def_1823,type,
    bG253: $o > $o ).

tff(func_def_1824,type,
    bG254: $o > $o ).

tff(func_def_1825,type,
    bG255: $o > $o ).

tff(func_def_1826,type,
    bG256: $o > $o ).

tff(func_def_1827,type,
    bG257: $o > $o ).

tff(func_def_1828,type,
    iG258: $o > option(nat) ).

tff(func_def_1829,type,
    bG259: $o > $o ).

tff(func_def_1830,type,
    bG260: $o > $o ).

tff(func_def_1831,type,
    iG261: $o > option(nat) ).

tff(func_def_1832,type,
    iG262: ( $o * $o ) > option(nat) ).

tff(func_def_1833,type,
    bG263: $o > $o ).

tff(func_def_1834,type,
    bG264: $o > $o ).

tff(func_def_1835,type,
    iG265: $o > option(nat) ).

tff(func_def_1836,type,
    iG266: ( $o * $o ) > option(nat) ).

tff(func_def_1837,type,
    bG267: $o > $o ).

tff(func_def_1838,type,
    bG268: $o > $o ).

tff(func_def_1839,type,
    bG269: $o > $o ).

tff(func_def_1840,type,
    bG270: $o > $o ).

tff(func_def_1841,type,
    bG271: $o > $o ).

tff(func_def_1842,type,
    bG272: $o > $o ).

tff(func_def_1843,type,
    bG273: $o > $o ).

tff(func_def_1844,type,
    bG274: $o > $o ).

tff(func_def_1845,type,
    bG275: $o > $o ).

tff(func_def_1846,type,
    bG276: $o > $o ).

tff(func_def_1847,type,
    iG277: $o > option(nat) ).

tff(func_def_1848,type,
    iG278: ( $o * $o ) > option(nat) ).

tff(func_def_1849,type,
    bG279: $o > $o ).

tff(func_def_1850,type,
    bG280: $o > $o ).

tff(func_def_1851,type,
    iG281: $o > option(nat) ).

tff(func_def_1852,type,
    iG282: ( $o * $o ) > option(nat) ).

tff(func_def_1853,type,
    bG283: $o > $o ).

tff(func_def_1854,type,
    bG284: $o > $o ).

tff(func_def_1855,type,
    lG285: ( nat * nat ) > nat ).

tff(func_def_1856,type,
    bG289: $o > $o ).

tff(func_def_1857,type,
    bG290: $o > $o ).

tff(func_def_1858,type,
    lG291: ( nat * nat ) > nat ).

tff(func_def_1859,type,
    bG295: $o > $o ).

tff(func_def_1860,type,
    bG296: $o > $o ).

tff(func_def_1861,type,
    lG297: ( nat * nat ) > nat ).

tff(func_def_1862,type,
    bG301: $o > $o ).

tff(func_def_1863,type,
    bG302: $o > $o ).

tff(func_def_1864,type,
    lG303: ( nat * nat ) > nat ).

tff(func_def_1865,type,
    bG311: $o > $o ).

tff(func_def_1866,type,
    bG312: $o > $o ).

tff(func_def_1867,type,
    lG313: ( nat * nat ) > nat ).

tff(func_def_1868,type,
    lG315: ( nat * nat ) > nat ).

tff(func_def_1869,type,
    bG317: $o > $o ).

tff(func_def_1870,type,
    bG318: $o > $o ).

tff(func_def_1871,type,
    lG319: ( nat * nat ) > nat ).

tff(func_def_1872,type,
    lG321: ( nat * nat ) > nat ).

tff(func_def_1873,type,
    bG323: $o > $o ).

tff(func_def_1874,type,
    bG324: $o > $o ).

tff(func_def_1875,type,
    lG325: ( nat * nat ) > nat ).

tff(func_def_1876,type,
    bG333: $o > $o ).

tff(func_def_1877,type,
    bG334: $o > $o ).

tff(func_def_1878,type,
    lG335: ( nat * nat ) > nat ).

tff(func_def_1879,type,
    bG343: $o > $o ).

tff(func_def_1880,type,
    bG344: $o > $o ).

tff(func_def_1881,type,
    lG345: ( nat * nat ) > nat ).

tff(func_def_1882,type,
    lG346: ( nat * nat ) > nat ).

tff(func_def_1883,type,
    lG347: ( list(vEBT_VEBT) * nat * nat ) > option(nat) ).

tff(func_def_1884,type,
    lG348: ( vEBT_VEBT * nat * nat ) > option(nat) ).

tff(func_def_1885,type,
    iG349: ( nat * nat * vEBT_VEBT * list(vEBT_VEBT) ) > option(nat) ).

tff(func_def_1886,type,
    iG350: ( nat * nat * list(vEBT_VEBT) * vEBT_VEBT ) > option(nat) ).

tff(func_def_1887,type,
    iG351: ( list(vEBT_VEBT) * nat * nat * vEBT_VEBT ) > option(nat) ).

tff(func_def_1888,type,
    iG352: ( nat * nat * nat * list(vEBT_VEBT) * vEBT_VEBT ) > option(nat) ).

tff(func_def_1889,type,
    bG353: $o > $o ).

tff(func_def_1890,type,
    bG354: $o > $o ).

tff(func_def_1891,type,
    bG355: $o > $o ).

tff(func_def_1892,type,
    bG356: $o > $o ).

tff(func_def_1893,type,
    bG357: $o > $o ).

tff(func_def_1894,type,
    bG358: $o > $o ).

tff(func_def_1895,type,
    iG359: $o > option(nat) ).

tff(func_def_1896,type,
    bG360: $o > $o ).

tff(func_def_1897,type,
    bG361: $o > $o ).

tff(func_def_1898,type,
    lG362: ( nat * nat ) > nat ).

tff(func_def_1899,type,
    bG370: $o > $o ).

tff(func_def_1900,type,
    bG371: $o > $o ).

tff(func_def_1901,type,
    bG372: $o > $o ).

tff(func_def_1902,type,
    bG373: $o > $o ).

tff(func_def_1903,type,
    lG374: ( nat * nat ) > nat ).

tff(func_def_1904,type,
    iG375: ( list(vEBT_VEBT) * nat * nat ) > $o ).

tff(func_def_1905,type,
    iG376: ( nat * nat * nat * list(vEBT_VEBT) ) > $o ).

tff(func_def_1906,type,
    iG377: ( nat * nat * nat * nat * list(vEBT_VEBT) ) > $o ).

tff(func_def_1907,type,
    iG378: ( nat * nat * nat * nat * list(vEBT_VEBT) ) > $o ).

tff(func_def_1908,type,
    iG379: ( nat * nat * nat * nat * list(vEBT_VEBT) ) > $o ).

tff(func_def_1909,type,
    bG380: $o > $o ).

tff(func_def_1910,type,
    bG381: $o > $o ).

tff(func_def_1911,type,
    bG382: $o > $o ).

tff(func_def_1912,type,
    bG383: $o > $o ).

tff(func_def_1913,type,
    iG384: ( nat * $o ) > $o ).

tff(func_def_1914,type,
    iG385: ( nat * $o * $o ) > $o ).

tff(func_def_1915,type,
    bG386: $o > $o ).

tff(func_def_1916,type,
    bG387: $o > $o ).

tff(func_def_1917,type,
    lG388: ( nat * nat ) > nat ).

tff(func_def_1918,type,
    bG392: $o > $o ).

tff(func_def_1919,type,
    bG393: $o > $o ).

tff(func_def_1920,type,
    bG394: $o > $o ).

tff(func_def_1921,type,
    bG395: $o > $o ).

tff(func_def_1922,type,
    lG396: ( nat * nat ) > nat ).

tff(func_def_1923,type,
    bG400: $o > $o ).

tff(func_def_1924,type,
    bG401: $o > $o ).

tff(func_def_1925,type,
    bG402: $o > $o ).

tff(func_def_1926,type,
    bG403: $o > $o ).

tff(func_def_1927,type,
    lG404: ( nat * nat ) > nat ).

tff(func_def_1928,type,
    bG405: ( nat * nat * list(vEBT_VEBT) ) > $o ).

tff(func_def_1929,type,
    iG406: ( list(vEBT_VEBT) * nat * nat ) > $o ).

tff(func_def_1930,type,
    bG407: $o > $o ).

tff(func_def_1931,type,
    bG408: $o > $o ).

tff(func_def_1932,type,
    bG409: $o > $o ).

tff(func_def_1933,type,
    bG410: $o > $o ).

tff(func_def_1934,type,
    iG411: ( nat * $o ) > $o ).

tff(func_def_1935,type,
    iG412: ( nat * $o * $o ) > $o ).

tff(func_def_1936,type,
    bG413: $o > $o ).

tff(func_def_1937,type,
    bG414: $o > $o ).

tff(func_def_1938,type,
    lG415: ( nat * nat ) > nat ).

tff(func_def_1939,type,
    bG423: $o > $o ).

tff(func_def_1940,type,
    bG424: $o > $o ).

tff(func_def_1941,type,
    bG425: $o > $o ).

tff(func_def_1942,type,
    bG426: $o > $o ).

tff(func_def_1943,type,
    lG427: ( nat * nat ) > nat ).

tff(func_def_1944,type,
    bG428: ( nat * nat * list(vEBT_VEBT) ) > $o ).

tff(func_def_1945,type,
    iG429: ( list(vEBT_VEBT) * nat * nat ) > $o ).

tff(func_def_1946,type,
    lG430: ( nat * nat ) > nat ).

tff(func_def_1947,type,
    bG432: $o > $o ).

tff(func_def_1948,type,
    bG433: $o > $o ).

tff(func_def_1949,type,
    bG434: $o > $o ).

tff(func_def_1950,type,
    bG435: $o > $o ).

tff(func_def_1951,type,
    lG436: ( nat * nat ) > nat ).

tff(func_def_1952,type,
    lG438: ( nat * nat ) > nat ).

tff(func_def_1953,type,
    bG440: $o > $o ).

tff(func_def_1954,type,
    bG441: $o > $o ).

tff(func_def_1955,type,
    bG442: $o > $o ).

tff(func_def_1956,type,
    bG443: $o > $o ).

tff(func_def_1957,type,
    lG444: ( nat * nat ) > nat ).

tff(func_def_1958,type,
    lG446: ( nat * nat ) > nat ).

tff(func_def_1959,type,
    iG448: 
      !>[X0: $tType] : ( ( nat * fun(nat,X0) * X0 ) > X0 ) ).

tff(func_def_1960,type,
    iG451: ( nat * nat * list(vEBT_VEBT) * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_1961,type,
    iG452: 
      !>[X0: $tType] : ( ( num * num ) > X0 ) ).

tff(func_def_1962,type,
    iG453: ( nat * nat * list(vEBT_VEBT) * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_1963,type,
    iG454: 
      !>[X0: $tType] : ( ( X0 * X0 ) > X0 ) ).

tff(func_def_1964,type,
    iG455: 
      !>[X0: $tType] : ( ( nat * nat * list(X0) * X0 ) > X0 ) ).

tff(func_def_1965,type,
    lG456: ( nat * nat ) > nat ).

tff(func_def_1966,type,
    iG457: ( nat * nat ) > nat ).

tff(func_def_1967,type,
    lG458: ( nat * nat * nat ) > nat ).

tff(func_def_1968,type,
    iG459: ( nat * nat ) > nat ).

tff(func_def_1969,type,
    iG460: ( nat * nat * nat * list(vEBT_VEBT) * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_1970,type,
    iG461: ( list(vEBT_VEBT) * nat * nat * nat * nat * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_1971,type,
    lG462: ( nat * nat ) > nat ).

tff(func_def_1972,type,
    iG463: ( nat * nat ) > nat ).

tff(func_def_1973,type,
    lG464: ( nat * nat * nat ) > nat ).

tff(func_def_1974,type,
    iG465: ( nat * nat ) > nat ).

tff(func_def_1975,type,
    iG466: ( nat * nat * nat * list(vEBT_VEBT) * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_1976,type,
    iG467: ( list(vEBT_VEBT) * nat * nat * nat * nat * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_1977,type,
    bG468: $o > $o ).

tff(func_def_1978,type,
    bG469: $o > $o ).

tff(func_def_1979,type,
    bG470: $o > $o ).

tff(func_def_1980,type,
    bG471: $o > $o ).

tff(func_def_1981,type,
    iG472: ( nat * $o * $o ) > vEBT_VEBT ).

tff(func_def_1982,type,
    iG473: ( nat * $o * $o ) > vEBT_VEBT ).

tff(func_def_1983,type,
    bG474: $o > $o ).

tff(func_def_1984,type,
    bG475: $o > $o ).

tff(func_def_1985,type,
    lG476: ( nat * nat ) > nat ).

tff(func_def_1986,type,
    iG477: ( nat * nat ) > nat ).

tff(func_def_1987,type,
    lG478: ( nat * nat * nat ) > nat ).

tff(func_def_1988,type,
    iG479: ( nat * nat ) > nat ).

tff(func_def_1989,type,
    iG480: ( nat * nat * nat * list(vEBT_VEBT) * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_1990,type,
    iG481: ( list(vEBT_VEBT) * nat * nat * nat * nat * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_1991,type,
    bG482: $o > $o ).

tff(func_def_1992,type,
    bG483: $o > $o ).

tff(func_def_1993,type,
    bG484: $o > $o ).

tff(func_def_1994,type,
    bG485: $o > $o ).

tff(func_def_1995,type,
    bG486: $o > $o ).

tff(func_def_1996,type,
    bG487: $o > $o ).

tff(func_def_1997,type,
    iG488: ( nat * $o * $o ) > vEBT_VEBT ).

tff(func_def_1998,type,
    iG489: ( nat * $o * $o ) > vEBT_VEBT ).

tff(func_def_1999,type,
    bG490: $o > $o ).

tff(func_def_2000,type,
    bG491: $o > $o ).

tff(func_def_2001,type,
    iG492: 
      !>[X0: $tType] : ( X0 > X0 ) ).

tff(func_def_2002,type,
    iG493: 
      !>[X0: $tType] : ( ( X0 * X0 ) > X0 ) ).

tff(func_def_2003,type,
    lG494: nat > nat ).

tff(func_def_2004,type,
    lG495: nat > nat ).

tff(func_def_2005,type,
    iG496: nat > vEBT_VEBT ).

tff(func_def_2006,type,
    bG497: $o > $o ).

tff(func_def_2007,type,
    bG498: $o > $o ).

tff(func_def_2008,type,
    bG499: $o > $o ).

tff(func_def_2009,type,
    bG500: $o > $o ).

tff(func_def_2010,type,
    bG501: $o > $o ).

tff(func_def_2011,type,
    bG502: $o > $o ).

tff(func_def_2012,type,
    bG503: ( $o * $o ) > $o ).

tff(func_def_2013,type,
    bG504: $o > $o ).

tff(func_def_2014,type,
    bG505: $o > $o ).

tff(func_def_2015,type,
    bG506: $o > $o ).

tff(func_def_2016,type,
    bG507: $o > $o ).

tff(func_def_2017,type,
    bG508: $o > $o ).

tff(func_def_2018,type,
    bG509: $o > $o ).

tff(func_def_2019,type,
    bG510: nat > $o ).

tff(func_def_2020,type,
    bG511: $o > $o ).

tff(func_def_2021,type,
    bG512: $o > $o ).

tff(func_def_2022,type,
    bG513: nat > $o ).

tff(func_def_2023,type,
    bG514: nat > $o ).

tff(func_def_2024,type,
    bG515: $o > $o ).

tff(func_def_2025,type,
    bG516: $o > $o ).

tff(func_def_2026,type,
    bG517: ( $o * $o ) > $o ).

tff(func_def_2027,type,
    bG518: $o > $o ).

tff(func_def_2028,type,
    bG519: $o > $o ).

tff(func_def_2029,type,
    bG520: $o > $o ).

tff(func_def_2030,type,
    bG521: $o > $o ).

tff(func_def_2031,type,
    bG522: $o > $o ).

tff(func_def_2032,type,
    iG523: 
      !>[X0: $tType] : ( $o > X0 ) ).

tff(func_def_2033,type,
    bG524: $o > $o ).

tff(func_def_2034,type,
    bG525: $o > $o ).

tff(func_def_2035,type,
    bG526: 
      !>[X0: $tType] : ( X0 > $o ) ).

tff(func_def_2036,type,
    bG527: $o > $o ).

tff(func_def_2037,type,
    bG528: $o > $o ).

tff(func_def_2038,type,
    bG529: 
      !>[X0: $tType] : ( ( nat * nat ) > $o ) ).

tff(func_def_2039,type,
    lG530: nat > nat ).

tff(func_def_2040,type,
    lG531: nat > nat ).

tff(func_def_2041,type,
    iG532: nat > vEBT_VEBT ).

tff(func_def_2042,type,
    bG533: int > $o ).

tff(func_def_2043,type,
    iG534: 
      !>[X0: $tType] : ( ( nat * X0 ) > X0 ) ).

tff(func_def_2044,type,
    lG535: nat > nat ).

tff(func_def_2045,type,
    lG536: nat > nat ).

tff(func_def_2046,type,
    iG537: nat > vEBT_VEBT ).

tff(func_def_2047,type,
    iG538: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * X1 * fun(X1,X0) ) > X0 ) ).

tff(func_def_2048,type,
    iG539: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * X1 * fun(X1,X0) ) > X0 ) ).

tff(func_def_2049,type,
    iG540: 
      !>[X0: $tType] : ( ( num * num ) > X0 ) ).

tff(func_def_2050,type,
    iG541: 
      !>[X0: $tType] : ( ( num * num ) > X0 ) ).

tff(func_def_2051,type,
    iG542: 
      !>[X0: $tType] : ( ( num * num ) > X0 ) ).

tff(func_def_2052,type,
    iG547: ( int * int ) > int ).

tff(func_def_2053,type,
    iG548: ( int * int ) > int ).

tff(func_def_2054,type,
    iG549: 
      !>[X0: $tType] : ( ( X0 * X0 * X0 ) > $o ) ).

tff(func_def_2055,type,
    iG550: 
      !>[X0: $tType] : ( ( X0 * X0 * X0 ) > $o ) ).

tff(func_def_2056,type,
    iG551: 
      !>[X0: $tType] : ( ( X0 * X0 * X0 ) > $o ) ).

tff(func_def_2057,type,
    iG552: 
      !>[X0: $tType] : ( ( X0 * X0 * X0 ) > $o ) ).

tff(func_def_2058,type,
    iG555: 
      !>[X0: $tType] : ( ( X0 * X0 * X0 ) > X0 ) ).

tff(func_def_2059,type,
    iG556: 
      !>[X0: $tType] : ( ( X0 * X0 * X0 ) > X0 ) ).

tff(func_def_2060,type,
    iG557: 
      !>[X0: $tType] : ( ( X0 * X0 * X0 ) > X0 ) ).

tff(func_def_2061,type,
    iG558: 
      !>[X0: $tType] : ( ( X0 * X0 * X0 ) > $o ) ).

tff(func_def_2062,type,
    iG559: 
      !>[X0: $tType] : ( ( X0 * X0 * X0 ) > $o ) ).

tff(func_def_2063,type,
    iG560: 
      !>[X0: $tType] : ( ( X0 * X0 * X0 ) > $o ) ).

tff(func_def_2064,type,
    iG561: 
      !>[X0: $tType] : ( ( X0 * X0 * X0 ) > $o ) ).

tff(func_def_2065,type,
    iG562: 
      !>[X0: $tType] : ( ( X0 * num * X0 ) > $o ) ).

tff(func_def_2066,type,
    iG563: 
      !>[X0: $tType] : ( ( X0 * num * X0 ) > $o ) ).

tff(func_def_2067,type,
    iG564: 
      !>[X0: $tType] : ( ( X0 * num * X0 ) > $o ) ).

tff(func_def_2068,type,
    iG565: 
      !>[X0: $tType] : ( ( X0 * num * X0 ) > $o ) ).

tff(func_def_2069,type,
    iG566: 
      !>[X0: $tType] : ( ( nat * X0 ) > X0 ) ).

tff(func_def_2070,type,
    iG567: ( int * int ) > int ).

tff(func_def_2071,type,
    iG568: ( int * int ) > int ).

tff(func_def_2072,type,
    iG569: ( int * int ) > int ).

tff(func_def_2073,type,
    iG570: ( int * int ) > int ).

tff(func_def_2074,type,
    iG571: 
      !>[X0: $tType] : ( ( X0 * num * X0 ) > $o ) ).

tff(func_def_2075,type,
    iG572: 
      !>[X0: $tType] : ( ( X0 * num * X0 ) > $o ) ).

tff(func_def_2076,type,
    iG573: 
      !>[X0: $tType] : ( ( X0 * num * X0 ) > $o ) ).

tff(func_def_2077,type,
    iG574: 
      !>[X0: $tType] : ( ( X0 * num * X0 ) > $o ) ).

tff(func_def_2078,type,
    iG575: 
      !>[X0: $tType] : ( nat > X0 ) ).

tff(func_def_2079,type,
    iG576: ( nat * nat ) > product_prod(nat,nat) ).

tff(func_def_2080,type,
    bG577: $o > $o ).

tff(func_def_2081,type,
    bG578: $o > $o ).

tff(func_def_2082,type,
    iG579: 
      !>[X0: $tType] : ( ( nat * nat * fun(nat,X0) ) > X0 ) ).

tff(func_def_2083,type,
    iG580: 
      !>[X0: $tType] : ( ( set(nat) * fun(nat,X0) ) > X0 ) ).

tff(func_def_2084,type,
    iG581: 
      !>[X0: $tType] : ( ( set(nat) * fun(nat,X0) * fun(nat,X0) ) > X0 ) ).

tff(func_def_2085,type,
    iG582: 
      !>[X0: $tType] : ( ( num * num ) > product_prod(X0,X0) ) ).

tff(func_def_2086,type,
    iG583: 
      !>[X0: $tType] : ( ( num * num ) > product_prod(X0,X0) ) ).

tff(func_def_2087,type,
    iG584: real > real ).

tff(func_def_2088,type,
    iG585: 
      !>[X0: $tType] : ( X0 > X0 ) ).

tff(func_def_2089,type,
    iG586: 
      !>[X0: $tType] : ( X0 > X0 ) ).

tff(func_def_2090,type,
    lG587: 
      !>[X0: $tType] : ( num > X0 ) ).

tff(func_def_2091,type,
    lG588: 
      !>[X0: $tType] : ( ( X0 * num ) > X0 ) ).

tff(func_def_2092,type,
    iG589: 
      !>[X0: $tType] : ( ( nat * nat * fun(nat,X0) ) > X0 ) ).

tff(func_def_2093,type,
    iG590: 
      !>[X0: $tType] : ( ( num * num ) > product_prod(X0,X0) ) ).

tff(func_def_2094,type,
    iG591: 
      !>[X0: $tType] : ( ( X0 * nat * nat ) > X0 ) ).

tff(func_def_2095,type,
    iG592: 
      !>[X0: $tType] : ( ( nat * nat * X0 ) > X0 ) ).

tff(func_def_2096,type,
    bG593: $o > $o ).

tff(func_def_2097,type,
    bG594: $o > $o ).

tff(func_def_2098,type,
    bG595: $o > $o ).

tff(func_def_2099,type,
    iG596: ( nat * nat ) > int ).

tff(func_def_2100,type,
    iG597: 
      !>[X0: $tType] : ( ( X0 * nat * nat ) > X0 ) ).

tff(func_def_2101,type,
    iG598: 
      !>[X0: $tType] : ( nat > X0 ) ).

tff(func_def_2102,type,
    iG599: 
      !>[X0: $tType] : ( ( X0 * nat ) > X0 ) ).

tff(func_def_2103,type,
    bG600: $o > $o ).

tff(func_def_2104,type,
    bG601: $o > $o ).

tff(func_def_2105,type,
    iG602: $o > option(nat) ).

tff(func_def_2106,type,
    iG603: ( $o * $o ) > option(nat) ).

tff(func_def_2107,type,
    bG604: $o > $o ).

tff(func_def_2108,type,
    bG605: $o > $o ).

tff(func_def_2109,type,
    bG606: $o > $o ).

tff(func_def_2110,type,
    bG607: $o > $o ).

tff(func_def_2111,type,
    iG608: $o > option(nat) ).

tff(func_def_2112,type,
    iG609: ( $o * $o ) > option(nat) ).

tff(func_def_2113,type,
    bG610: $o > $o ).

tff(func_def_2114,type,
    bG611: $o > $o ).

tff(func_def_2115,type,
    iG612: 
      !>[X0: $tType] : ( ( nat * nat * X0 * fun(nat,fun(X0,X0)) ) > X0 ) ).

tff(func_def_2116,type,
    iG613: 
      !>[X0: $tType] : ( ( nat * nat * X0 * fun(nat,fun(X0,X0)) ) > X0 ) ).

tff(func_def_2117,type,
    iG614: 
      !>[X0: $tType] : ( ( nat * nat * X0 * fun(nat,fun(X0,X0)) ) > X0 ) ).

tff(func_def_2118,type,
    iG615: 
      !>[X0: $tType] : ( ( nat * nat * X0 * fun(nat,fun(X0,X0)) ) > X0 ) ).

tff(func_def_2119,type,
    iG616: 
      !>[X0: $tType] : ( nat > X0 ) ).

tff(func_def_2120,type,
    iG617: nat > real ).

tff(func_def_2121,type,
    iG618: nat > real ).

tff(func_def_2122,type,
    iG619: ( nat * nat ) > nat ).

tff(func_def_2123,type,
    iG620: ( nat * nat ) > nat ).

tff(func_def_2124,type,
    iG621: 
      !>[X0: $tType] : ( ( X0 * nat ) > X0 ) ).

tff(func_def_2125,type,
    bG622: $o > $o ).

tff(func_def_2126,type,
    bG623: $o > $o ).

tff(func_def_2127,type,
    bG624: $o > $o ).

tff(func_def_2128,type,
    bG625: $o > $o ).

tff(func_def_2129,type,
    iG626: 
      !>[X0: $tType] : ( nat > X0 ) ).

tff(func_def_2130,type,
    iG627: 
      !>[X0: $tType] : ( ( nat * X0 ) > X0 ) ).

tff(func_def_2131,type,
    bG628: $o > $o ).

tff(func_def_2132,type,
    bG629: $o > $o ).

tff(func_def_2133,type,
    bG630: $o > $o ).

tff(func_def_2134,type,
    bG631: $o > $o ).

tff(func_def_2135,type,
    iG632: 
      !>[X0: $tType] : ( ( nat * X0 ) > X0 ) ).

tff(func_def_2136,type,
    iG633: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * X1 * fun(X1,X0) ) > X0 ) ).

tff(func_def_2137,type,
    iG634: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * X1 * fun(X1,X0) ) > X0 ) ).

tff(func_def_2138,type,
    iG635: 
      !>[X0: $tType] : ( ( nat * nat * fun(nat,X0) ) > X0 ) ).

tff(func_def_2139,type,
    iG636: int > real ).

tff(func_def_2140,type,
    lG637: 
      !>[X0: $tType] : ( int > X0 ) ).

tff(func_def_2141,type,
    iG638: 
      !>[X0: $tType] : ( int > X0 ) ).

tff(func_def_2142,type,
    iG639: 
      !>[X0: $tType] : ( int > X0 ) ).

tff(func_def_2143,type,
    iG640: 
      !>[X0: $tType] : ( int > X0 ) ).

tff(func_def_2144,type,
    iG641: 
      !>[X0: $tType] : ( X0 > X0 ) ).

tff(func_def_2145,type,
    iG642: 
      !>[X0: $tType] : ( X0 > int ) ).

tff(func_def_2146,type,
    iG643: 
      !>[X0: $tType] : ( ( X0 * X0 ) > X0 ) ).

tff(func_def_2147,type,
    iG644: 
      !>[X0: $tType] : ( X0 > int ) ).

tff(func_def_2148,type,
    iG645: 
      !>[X0: $tType] : ( ( X0 * X0 ) > X0 ) ).

tff(func_def_2149,type,
    iG646: 
      !>[X0: $tType] : ( ( X0 * X0 ) > int ) ).

tff(func_def_2150,type,
    iG647: 
      !>[X0: $tType] : ( ( $o * X0 * X0 ) > X0 ) ).

tff(func_def_2151,type,
    bG648: $o > $o ).

tff(func_def_2152,type,
    bG649: ( nat * nat ) > $o ).

tff(func_def_2153,type,
    iG650: ( int * int * nat * nat ) > int ).

tff(func_def_2154,type,
    iG651: ( int * int * nat * nat ) > int ).

tff(func_def_2155,type,
    bG652: 
      !>[X0: $tType] : ( X0 > $o ) ).

tff(func_def_2156,type,
    bG653: 
      !>[X0: $tType] : ( X0 > $o ) ).

tff(func_def_2157,type,
    bG654: 
      !>[X0: $tType] : ( X0 > $o ) ).

tff(func_def_2158,type,
    iG655: 
      !>[X0: $tType] : ( X0 > X0 ) ).

tff(func_def_2159,type,
    iG656: 
      !>[X0: $tType] : ( X0 > X0 ) ).

tff(func_def_2160,type,
    iG657: 
      !>[X0: $tType] : ( X0 > X0 ) ).

tff(func_def_2161,type,
    iG658: int > int ).

tff(func_def_2162,type,
    iG659: int > int ).

tff(func_def_2163,type,
    iG660: 
      !>[X0: $tType] : ( X0 > real ) ).

tff(func_def_2164,type,
    bG661: ( int * int ) > $o ).

tff(func_def_2165,type,
    bG662: ( nat * nat ) > $o ).

tff(func_def_2166,type,
    iG663: ( int * int * nat * nat ) > int ).

tff(func_def_2167,type,
    iG664: ( int * int * nat * nat ) > int ).

tff(func_def_2168,type,
    bG665: ( int * int ) > $o ).

tff(func_def_2169,type,
    iG666: ( int * int ) > int ).

tff(func_def_2170,type,
    iG667: ( int * int ) > int ).

tff(func_def_2171,type,
    bG668: ( int * int ) > $o ).

tff(func_def_2172,type,
    iG669: ( int * int ) > int ).

tff(func_def_2173,type,
    iG670: ( int * int ) > int ).

tff(func_def_2174,type,
    iG671: ( int * real ) > real ).

tff(func_def_2175,type,
    iG672: int > int ).

tff(func_def_2176,type,
    iG673: rat > rat ).

tff(func_def_2177,type,
    iG674: rat > rat ).

tff(func_def_2178,type,
    iG675: real > real ).

tff(func_def_2179,type,
    iG676: real > real ).

tff(func_def_2180,type,
    iG679: ( nat * nat ) > nat ).

tff(func_def_2181,type,
    lG680: ( int * int ) > int ).

tff(func_def_2182,type,
    iG681: ( int * int ) > nat ).

tff(func_def_2183,type,
    iG682: ( int * int ) > nat ).

tff(func_def_2184,type,
    bG683: nat > $o ).

tff(func_def_2185,type,
    iG684: ( int * nat ) > $o ).

tff(func_def_2186,type,
    iG685: ( int * real ) > real ).

tff(func_def_2187,type,
    iG686: 
      !>[X0: $tType] : ( ( nat * X0 ) > X0 ) ).

tff(func_def_2188,type,
    iG687: ( int * int ) > int ).

tff(func_def_2189,type,
    iG688: ( int * int ) > int ).

tff(func_def_2190,type,
    iG689: ( int * int ) > int ).

tff(func_def_2191,type,
    iG690: 
      !>[X0: $tType] : ( ( nat * nat ) > fun(X0,X0) ) ).

tff(func_def_2192,type,
    iG691: 
      !>[X0: $tType] : ( ( nat * nat * X0 ) > X0 ) ).

tff(func_def_2193,type,
    iG692: 
      !>[X0: $tType] : ( ( nat * nat * X0 ) > X0 ) ).

tff(func_def_2194,type,
    iG693: 
      !>[X0: $tType] : ( ( nat * nat * X0 ) > X0 ) ).

tff(func_def_2195,type,
    bG694: ( int * int ) > $o ).

tff(func_def_2196,type,
    iG695: 
      !>[X0: $tType] : ( ( X0 * nat ) > X0 ) ).

tff(func_def_2197,type,
    bG696: ( int * int ) > $o ).

tff(func_def_2198,type,
    bG697: ( int * int ) > $o ).

tff(func_def_2199,type,
    iG698: ( int * int ) > int ).

tff(func_def_2200,type,
    bG699: ( int * int ) > $o ).

tff(func_def_2201,type,
    bG700: ( int * int ) > $o ).

tff(func_def_2202,type,
    iG701: ( int * int ) > int ).

tff(func_def_2203,type,
    iG702: 
      !>[X0: $tType] : ( ( set(X0) * X0 * set(X0) ) > set(X0) ) ).

tff(func_def_2204,type,
    iG703: 
      !>[X0: $tType] : ( ( X0 * fun(X0,$o) ) > set(X0) ) ).

tff(func_def_2205,type,
    iG704: 
      !>[X0: $tType] : ( ( X0 * fun(X0,$o) ) > set(X0) ) ).

tff(func_def_2206,type,
    iG705: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * X1 * fun(X1,X0) ) > X0 ) ).

tff(func_def_2207,type,
    iG706: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * X1 * fun(X1,X0) ) > X0 ) ).

tff(func_def_2208,type,
    iG707: 
      !>[X0: $tType] : ( ( set(X0) * X0 * set(X0) ) > $o ) ).

tff(func_def_2209,type,
    iG708: 
      !>[X0: $tType] : ( ( set(X0) * X0 * set(X0) ) > $o ) ).

tff(func_def_2210,type,
    iG709: 
      !>[X0: $tType] : ( ( set(X0) * X0 * set(X0) ) > $o ) ).

tff(func_def_2211,type,
    iG710: 
      !>[X0: $tType] : ( ( nat * X0 ) > set(X0) ) ).

tff(func_def_2212,type,
    iG711: 
      !>[X0: $tType] : ( ( set(X0) * X0 * fun(X0,nat) ) > nat ) ).

tff(func_def_2213,type,
    iG712: ( int * int ) > set(int) ).

tff(func_def_2214,type,
    iG713: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * X1 * fun(X1,X0) ) > X0 ) ).

tff(func_def_2215,type,
    iG714: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * X1 * fun(X1,X0) * fun(X1,X0) ) > X0 ) ).

tff(func_def_2216,type,
    iG715: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * X1 * fun(X1,X0) * fun(X1,X0) ) > X0 ) ).

tff(func_def_2217,type,
    iG716: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * X1 * fun(X1,X0) ) > X0 ) ).

tff(func_def_2218,type,
    iG717: ( nat * nat ) > nat ).

tff(func_def_2219,type,
    bG718: ( nat * nat ) > $o ).

tff(func_def_2220,type,
    bG719: ( int * int ) > $o ).

tff(func_def_2221,type,
    bG720: ( int * int ) > $o ).

tff(func_def_2222,type,
    iG721: ( int * int ) > int ).

tff(func_def_2223,type,
    bG722: ( int * int ) > $o ).

tff(func_def_2224,type,
    bG723: ( int * int ) > $o ).

tff(func_def_2225,type,
    iG724: ( int * int ) > int ).

tff(func_def_2226,type,
    iG725: complex > real ).

tff(func_def_2227,type,
    iG726: ( int * int ) > int ).

tff(func_def_2228,type,
    iG727: ( int * int ) > int ).

tff(func_def_2229,type,
    iG728: ( int * int ) > int ).

tff(func_def_2230,type,
    bG729: $o > $o ).

tff(func_def_2231,type,
    iG730: 
      !>[X0: $tType] : ( ( nat * X0 ) > fun(nat,fun(X0,X0)) ) ).

tff(func_def_2232,type,
    bG731: 
      !>[X0: $tType] : ( X0 > $o ) ).

tff(func_def_2233,type,
    iG732: 
      !>[X0: $tType] : ( ( nat * X0 * X0 ) > $o ) ).

tff(func_def_2234,type,
    bG733: 
      !>[X0: $tType] : ( X0 > $o ) ).

tff(func_def_2235,type,
    iG734: 
      !>[X0: $tType] : ( ( nat * X0 ) > $o ) ).

tff(func_def_2236,type,
    bG735: ( int * int ) > $o ).

tff(func_def_2237,type,
    bG736: ( nat * int ) > $o ).

tff(func_def_2238,type,
    iG737: 
      !>[X0: $tType] : ( X0 > X0 ) ).

tff(func_def_2239,type,
    bG738: ( nat * nat ) > $o ).

tff(func_def_2240,type,
    iG739: ( nat * nat ) > nat ).

tff(func_def_2241,type,
    iG740: ( nat * nat ) > nat ).

tff(func_def_2242,type,
    bG741: nat > $o ).

tff(func_def_2243,type,
    bG742: nat > $o ).

tff(func_def_2244,type,
    iG743: ( nat * nat ) > nat ).

tff(func_def_2245,type,
    iG744: ( nat * nat ) > nat ).

tff(func_def_2246,type,
    bG745: ( nat * nat ) > $o ).

tff(func_def_2247,type,
    bG746: 
      !>[X0: $tType] : ( X0 > $o ) ).

tff(func_def_2248,type,
    bG747: 
      !>[X0: $tType] : ( X0 > $o ) ).

tff(func_def_2249,type,
    lG748: 
      !>[X0: $tType] : ( ( nat * X0 ) > X0 ) ).

tff(func_def_2250,type,
    iG749: 
      !>[X0: $tType] : ( ( nat * X0 ) > X0 ) ).

tff(func_def_2251,type,
    bG750: ( int * int ) > $o ).

tff(func_def_2252,type,
    iG751: ( int * int ) > int ).

tff(func_def_2253,type,
    iG752: ( int * int ) > int ).

tff(func_def_2254,type,
    iG753: ( int * int ) > int ).

tff(func_def_2255,type,
    iG754: ( int * int ) > int ).

tff(func_def_2256,type,
    iG755: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * X1 * fun(X1,X0) ) > X0 ) ).

tff(func_def_2257,type,
    iG756: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * X1 * fun(X1,X0) ) > X0 ) ).

tff(func_def_2258,type,
    iG757: 
      !>[X0: $tType] : ( ( nat * nat * fun(nat,X0) ) > X0 ) ).

tff(func_def_2259,type,
    iG758: 
      !>[X0: $tType] : ( ( nat * nat * fun(nat,X0) ) > X0 ) ).

tff(func_def_2260,type,
    iG759: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,X0) ) > X0 ) ).

tff(func_def_2261,type,
    iG760: ( nat * nat ) > set(nat) ).

tff(func_def_2262,type,
    iG761: 
      !>[X0: $tType] : ( ( nat * nat * fun(nat,X0) ) > X0 ) ).

tff(func_def_2263,type,
    iG762: 
      !>[X0: $tType] : ( ( nat * nat * fun(nat,X0) ) > X0 ) ).

tff(func_def_2264,type,
    iG763: ( num * nat ) > set(nat) ).

tff(func_def_2265,type,
    iG764: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * X1 * fun(X1,X0) ) > X0 ) ).

tff(func_def_2266,type,
    bG765: $o > $o ).

tff(func_def_2267,type,
    bG766: $o > $o ).

tff(func_def_2268,type,
    bG767: $o > $o ).

tff(func_def_2269,type,
    bG768: $o > $o ).

tff(func_def_2270,type,
    iG769: code_integer > code_integer ).

tff(func_def_2271,type,
    iG770: code_integer > code_integer ).

tff(func_def_2272,type,
    lG771: int > code_integer ).

tff(func_def_2273,type,
    iG772: int > code_integer ).

tff(func_def_2274,type,
    iG773: int > code_integer ).

tff(func_def_2275,type,
    iG774: int > code_integer ).

tff(func_def_2276,type,
    lG775: num > code_integer ).

tff(func_def_2277,type,
    iG776: code_integer > int ).

tff(func_def_2278,type,
    iG777: code_integer > int ).

tff(func_def_2279,type,
    lG778: num > code_integer ).

tff(func_def_2280,type,
    iG779: code_integer > num ).

tff(func_def_2281,type,
    iG780: code_integer > nat ).

tff(func_def_2282,type,
    bG781: code_integer > $o ).

tff(func_def_2283,type,
    iG782: code_integer > product_prod(code_integer,$o) ).

tff(func_def_2284,type,
    iG783: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > nat ) ).

tff(func_def_2285,type,
    iG784: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > nat ) ).

tff(func_def_2286,type,
    iG785: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * X1 * X0 * fun(X1,X0) ) > X0 ) ).

tff(func_def_2287,type,
    iG786: ( code_integer * code_integer ) > product_prod(code_integer,code_integer) ).

tff(func_def_2288,type,
    iG787: ( code_integer * code_integer ) > product_prod(code_integer,code_integer) ).

tff(func_def_2289,type,
    iG788: ( code_integer * code_integer ) > product_prod(code_integer,code_integer) ).

tff(func_def_2290,type,
    iG789: ( code_integer * code_integer ) > product_prod(code_integer,code_integer) ).

tff(func_def_2291,type,
    iG790: ( code_integer * code_integer ) > product_prod(code_integer,code_integer) ).

tff(func_def_2292,type,
    iG791: complex > real ).

tff(func_def_2293,type,
    iG792: complex > real ).

tff(func_def_2294,type,
    lG793: num > nat ).

tff(func_def_2295,type,
    lG794: num > nat ).

tff(func_def_2296,type,
    iG795: 
      !>[X0: $tType] : ( ( nat * fun(nat,X0) * X0 ) > X0 ) ).

tff(func_def_2297,type,
    iG796: ( nat * nat ) > product_prod(nat,nat) ).

tff(func_def_2298,type,
    iG797: ( nat * nat ) > product_prod(nat,nat) ).

tff(func_def_2299,type,
    bG798: $o > $o ).

tff(func_def_2300,type,
    bG799: ( nat * $o ) > $o ).

tff(func_def_2301,type,
    bG800: nat > $o ).

tff(func_def_2302,type,
    iG801: 
      !>[X0: $tType] : ( ( nat * X0 ) > X0 ) ).

tff(func_def_2303,type,
    iG802: ( nat * nat ) > product_prod(nat,nat) ).

tff(func_def_2304,type,
    bG803: nat > $o ).

tff(func_def_2305,type,
    iG804: ( nat * nat ) > product_prod(int,int) ).

tff(func_def_2306,type,
    iG805: ( nat * nat ) > product_prod(int,int) ).

tff(func_def_2307,type,
    iG806: ( nat * nat ) > product_prod(int,int) ).

tff(func_def_2308,type,
    iG807: ( int * int ) > int ).

tff(func_def_2309,type,
    lG808: product_prod(int,int) > int ).

tff(func_def_2310,type,
    lG809: product_prod(int,int) > int ).

tff(func_def_2311,type,
    iG810: product_prod(int,int) > product_prod(int,int) ).

tff(func_def_2312,type,
    iG811: product_prod(int,int) > product_prod(int,int) ).

tff(func_def_2313,type,
    iG812: ( nat * nat ) > nat ).

tff(func_def_2314,type,
    iG813: ( nat * nat ) > nat ).

tff(func_def_2315,type,
    iG814: ( nat * nat ) > nat ).

tff(func_def_2316,type,
    iG815: 
      !>[X0: $tType] : ( ( list(X0) * X0 ) > nat ) ).

tff(func_def_2317,type,
    iG816: ( code_integer * code_integer ) > product_prod(code_integer,code_integer) ).

tff(func_def_2318,type,
    iG817: ( code_integer * code_integer ) > product_prod(code_integer,code_integer) ).

tff(func_def_2319,type,
    iG818: ( code_integer * code_integer ) > product_prod(code_integer,code_integer) ).

tff(func_def_2320,type,
    iG819: 
      !>[X0: $tType] : ( ( X0 * X0 ) > set(X0) ) ).

tff(func_def_2321,type,
    iG820: nat > num ).

tff(func_def_2322,type,
    iG821: 
      !>[X0: $tType] : ( nat > X0 ) ).

tff(func_def_2323,type,
    iG822: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * X1 * fun(X1,X0) ) > X0 ) ).

tff(func_def_2324,type,
    iG823: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,X0) ) > X0 ) ).

tff(func_def_2325,type,
    lG824: nat > nat ).

tff(func_def_2326,type,
    lG825: nat > nat ).

tff(func_def_2327,type,
    bG826: ( vEBT_VEBT * list(vEBT_VEBT) ) > $o ).

tff(func_def_2328,type,
    bG827: $o > $o ).

tff(func_def_2329,type,
    bG828: $o > $o ).

tff(func_def_2330,type,
    lG829: nat > nat ).

tff(func_def_2331,type,
    lG830: nat > nat ).

tff(func_def_2332,type,
    bG831: ( vEBT_VEBT * list(vEBT_VEBT) ) > $o ).

tff(func_def_2333,type,
    bG832: $o > $o ).

tff(func_def_2334,type,
    bG833: $o > $o ).

tff(func_def_2335,type,
    bG834: $o > $o ).

tff(func_def_2336,type,
    bG835: $o > $o ).

tff(func_def_2337,type,
    iG836: 
      !>[X0: $tType,X1: $tType] : ( ( option(X1) * fun(X1,X0) * X0 ) > X0 ) ).

tff(func_def_2338,type,
    lG837: nat > nat ).

tff(func_def_2339,type,
    lG838: nat > nat ).

tff(func_def_2340,type,
    bG839: ( vEBT_VEBT * list(vEBT_VEBT) ) > $o ).

tff(func_def_2341,type,
    lG840: nat > nat ).

tff(func_def_2342,type,
    lG841: nat > nat ).

tff(func_def_2343,type,
    bG842: ( vEBT_VEBT * list(vEBT_VEBT) ) > $o ).

tff(func_def_2344,type,
    bG843: $o > $o ).

tff(func_def_2345,type,
    bG844: $o > $o ).

tff(func_def_2346,type,
    lG845: nat > nat ).

tff(func_def_2347,type,
    lG846: nat > nat ).

tff(func_def_2348,type,
    bG847: ( vEBT_VEBT * list(vEBT_VEBT) ) > $o ).

tff(func_def_2349,type,
    bG848: $o > $o ).

tff(func_def_2350,type,
    bG849: $o > $o ).

tff(func_def_2351,type,
    bG850: $o > $o ).

tff(func_def_2352,type,
    bG851: $o > $o ).

tff(func_def_2353,type,
    lG852: nat > nat ).

tff(func_def_2354,type,
    lG853: nat > nat ).

tff(func_def_2355,type,
    bG854: ( vEBT_VEBT * list(vEBT_VEBT) ) > $o ).

tff(func_def_2356,type,
    bG855: $o > $o ).

tff(func_def_2357,type,
    bG856: $o > $o ).

tff(func_def_2358,type,
    bG857: $o > $o ).

tff(func_def_2359,type,
    bG858: $o > $o ).

tff(func_def_2360,type,
    lG859: nat > nat ).

tff(func_def_2361,type,
    lG860: nat > nat ).

tff(func_def_2362,type,
    bG861: ( vEBT_VEBT * list(vEBT_VEBT) ) > $o ).

tff(func_def_2363,type,
    bG862: $o > $o ).

tff(func_def_2364,type,
    bG863: $o > $o ).

tff(func_def_2365,type,
    bG864: $o > $o ).

tff(func_def_2366,type,
    bG865: $o > $o ).

tff(func_def_2367,type,
    iG866: ( num * nat ) > option(num) ).

tff(func_def_2368,type,
    iG867: ( nat * nat ) > set(nat) ).

tff(func_def_2369,type,
    iG868: ( nat * nat * nat ) > set(nat) ).

tff(func_def_2370,type,
    iG869: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * X0 ) > set(X0) ) ).

tff(func_def_2371,type,
    iG870: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * X0 ) > X0 ) ).

tff(func_def_2372,type,
    iG871: 
      !>[X0: $tType] : ( ( X0 * X0 * X0 ) > set(X0) ) ).

tff(func_def_2373,type,
    iG872: 
      !>[X0: $tType] : ( ( X0 * X0 * X0 ) > set(X0) ) ).

tff(func_def_2374,type,
    iG873: 
      !>[X0: $tType] : ( ( X0 * X0 * X0 ) > set(X0) ) ).

tff(func_def_2375,type,
    iG874: 
      !>[X0: $tType] : ( ( X0 * X0 * X0 ) > set(X0) ) ).

tff(func_def_2376,type,
    iG875: 
      !>[X0: $tType] : ( ( X0 * X0 * X0 * X0 ) > set(X0) ) ).

tff(func_def_2377,type,
    iG876: 
      !>[X0: $tType] : ( ( X0 * X0 * X0 * X0 ) > set(X0) ) ).

tff(func_def_2378,type,
    iG877: 
      !>[X0: $tType] : ( ( X0 * X0 * X0 * X0 ) > set(X0) ) ).

tff(func_def_2379,type,
    iG878: 
      !>[X0: $tType] : ( ( X0 * X0 * X0 * X0 ) > set(X0) ) ).

tff(func_def_2380,type,
    iG879: 
      !>[X0: $tType] : ( ( X0 * X0 * X0 * X0 ) > set(X0) ) ).

tff(func_def_2381,type,
    iG880: 
      !>[X0: $tType] : ( ( X0 * X0 * X0 * X0 ) > set(X0) ) ).

tff(func_def_2382,type,
    iG881: 
      !>[X0: $tType] : ( ( X0 * X0 * X0 * X0 ) > set(X0) ) ).

tff(func_def_2383,type,
    iG882: 
      !>[X0: $tType] : ( ( X0 * X0 * X0 * X0 ) > set(X0) ) ).

tff(func_def_2384,type,
    iG883: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * set(X0) ) > set(X0) ) ).

tff(func_def_2385,type,
    iG884: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,set(X0)) * X0 ) > set(X0) ) ).

tff(func_def_2386,type,
    iG885: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,set(X0)) * X0 ) > set(X0) ) ).

tff(func_def_2387,type,
    iG886: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * set(X0) * fun(X1,set(X0)) ) > set(X0) ) ).

tff(func_def_2388,type,
    iG887: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,set(X0)) * set(X0) ) > set(X0) ) ).

tff(func_def_2389,type,
    iG888: 
      !>[X0: $tType] : ( ( set(set(X0)) * set(X0) ) > set(X0) ) ).

tff(func_def_2390,type,
    iG889: 
      !>[X0: $tType] : ( ( set(set(X0)) * set(X0) ) > set(X0) ) ).

tff(func_def_2391,type,
    iG890: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,set(X0)) * set(X0) ) > set(X0) ) ).

tff(func_def_2392,type,
    bG891: $o > $o ).

tff(func_def_2393,type,
    iG892: 
      !>[X0: $tType] : ( $o > set(X0) ) ).

tff(func_def_2394,type,
    iG893: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * set(X0) ) > set(X0) ) ).

tff(func_def_2395,type,
    iG894: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,set(X0)) * set(X0) ) > set(X0) ) ).

tff(func_def_2396,type,
    iG895: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * set(X0) * fun(X1,set(X0)) ) > set(X0) ) ).

tff(func_def_2397,type,
    iG896: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * set(X0) * fun(X1,set(X0)) ) > set(X0) ) ).

tff(func_def_2398,type,
    iG897: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,set(X0)) * set(X0) ) > set(X0) ) ).

tff(func_def_2399,type,
    iG898: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * X0 ) > X0 ) ).

tff(func_def_2400,type,
    iG899: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * set(X0) * fun(X1,set(X0)) ) > set(X0) ) ).

tff(func_def_2401,type,
    bG900: $o > $o ).

tff(func_def_2402,type,
    iG901: 
      !>[X0: $tType,X1: $tType] : ( $o > set(product_prod(X1,X0)) ) ).

tff(func_def_2403,type,
    iG902: real > set(real) ).

tff(func_def_2404,type,
    iG903: ( nat * real ) > real ).

tff(func_def_2405,type,
    bG904: 
      !>[X0: $tType] : ( X0 > $o ) ).

tff(func_def_2406,type,
    bG905: $o > $o ).

tff(func_def_2407,type,
    bG906: $o > $o ).

tff(func_def_2408,type,
    bG907: $o > $o ).

tff(func_def_2409,type,
    bG908: $o > $o ).

tff(func_def_2410,type,
    bG909: $o > $o ).

tff(func_def_2411,type,
    bG910: $o > $o ).

tff(func_def_2412,type,
    bG911: $o > $o ).

tff(func_def_2413,type,
    bG912: $o > $o ).

tff(func_def_2414,type,
    bG913: $o > $o ).

tff(func_def_2415,type,
    bG914: $o > $o ).

tff(func_def_2416,type,
    bG915: $o > $o ).

tff(func_def_2417,type,
    bG916: $o > $o ).

tff(func_def_2418,type,
    bG917: $o > $o ).

tff(func_def_2419,type,
    bG918: $o > $o ).

tff(func_def_2420,type,
    bG919: $o > $o ).

tff(func_def_2421,type,
    bG920: $o > $o ).

tff(func_def_2422,type,
    bG921: $o > $o ).

tff(func_def_2423,type,
    bG922: $o > $o ).

tff(func_def_2424,type,
    bG923: $o > $o ).

tff(func_def_2425,type,
    bG924: $o > $o ).

tff(func_def_2426,type,
    bG925: $o > $o ).

tff(func_def_2427,type,
    bG926: $o > $o ).

tff(func_def_2428,type,
    bG927: $o > $o ).

tff(func_def_2429,type,
    bG928: $o > $o ).

tff(func_def_2430,type,
    bG929: $o > $o ).

tff(func_def_2431,type,
    bG930: $o > $o ).

tff(func_def_2432,type,
    bG931: $o > $o ).

tff(func_def_2433,type,
    bG932: $o > $o ).

tff(func_def_2434,type,
    bG933: $o > $o ).

tff(func_def_2435,type,
    bG934: $o > $o ).

tff(func_def_2436,type,
    bG935: $o > $o ).

tff(func_def_2437,type,
    bG936: $o > $o ).

tff(func_def_2438,type,
    iG937: 
      !>[X0: $tType] : ( ( set(nat) * X0 ) > list(X0) ) ).

tff(func_def_2439,type,
    iG938: 
      !>[X0: $tType,X1: $tType] : ( ( X0 * fun(X0,X1) * X0 * list(X0) ) > list(X0) ) ).

tff(func_def_2440,type,
    iG939: 
      !>[X0: $tType] : ( ( X0 * X0 * list(X0) ) > list(X0) ) ).

tff(func_def_2441,type,
    iG940: 
      !>[X0: $tType] : ( ( X0 * X0 * list(X0) ) > list(X0) ) ).

tff(func_def_2442,type,
    iG941: 
      !>[X0: $tType] : ( ( list(X0) * X0 ) > list(X0) ) ).

tff(func_def_2443,type,
    iG942: 
      !>[X0: $tType] : ( ( X0 * X0 * list(X0) ) > nat ) ).

tff(func_def_2444,type,
    iG943: 
      !>[X0: $tType] : ( ( nat * list(X0) * X0 ) > X0 ) ).

tff(func_def_2445,type,
    iG944: 
      !>[X0: $tType] : ( nat > list(list(X0)) ) ).

tff(func_def_2446,type,
    iG946: 
      !>[X0: $tType] : ( ( list(X0) * X0 * list(X0) ) > list(X0) ) ).

tff(func_def_2447,type,
    iG947: 
      !>[X0: $tType] : ( ( list(X0) * nat * list(X0) ) > X0 ) ).

tff(func_def_2448,type,
    iG948: 
      !>[X0: $tType] : ( ( list(X0) * nat * X0 * list(X0) ) > list(X0) ) ).

tff(func_def_2449,type,
    iG949: 
      !>[X0: $tType] : ( ( set(nat) * X0 ) > list(X0) ) ).

tff(func_def_2450,type,
    iG950: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,set(X0)) * set(X0) ) > set(X0) ) ).

tff(func_def_2451,type,
    iG951: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * set(X0) * fun(X1,set(X0)) ) > set(X0) ) ).

tff(func_def_2452,type,
    iG952: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,set(X0)) * set(X0) ) > set(X0) ) ).

tff(func_def_2453,type,
    iG953: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * set(X0) * fun(X1,set(X0)) ) > set(X0) ) ).

tff(func_def_2454,type,
    lG954: 
      !>[X0: $tType] : ( list(X0) > set(set(X0)) ) ).

tff(func_def_2455,type,
    iG955: ( int * int * list(int) ) > list(int) ).

tff(func_def_2456,type,
    iG956: ( int * int ) > list(int) ).

tff(func_def_2457,type,
    iG957: ( int * int ) > list(int) ).

tff(func_def_2458,type,
    iG958: ( num * num ) > list(int) ).

tff(func_def_2459,type,
    iG959: ( num * num ) > list(int) ).

tff(func_def_2460,type,
    iG960: ( num * num ) > list(int) ).

tff(func_def_2461,type,
    iG961: ( num * num ) > list(int) ).

tff(func_def_2462,type,
    iG962: ( int * int ) > list(int) ).

tff(func_def_2463,type,
    iG963: ( int * int ) > list(int) ).

tff(func_def_2464,type,
    iG964: 
      !>[X0: $tType] : ( ( X0 * fun(X0,$o) * list(X0) ) > option(product_prod(list(X0),product_prod(X0,list(X0)))) ) ).

tff(func_def_2465,type,
    bG966: $o > $o ).

tff(func_def_2466,type,
    bG967: $o > $o ).

tff(func_def_2467,type,
    bG968: $o > $o ).

tff(func_def_2468,type,
    bG969: $o > $o ).

tff(func_def_2469,type,
    bG970: $o > $o ).

tff(func_def_2470,type,
    bG971: $o > $o ).

tff(func_def_2471,type,
    iG972: ( nat * nat ) > nat ).

tff(func_def_2472,type,
    iG973: 
      !>[X0: $tType] : ( ( X0 * set(X0) ) > X0 ) ).

tff(func_def_2473,type,
    iG974: 
      !>[X0: $tType] : ( ( X0 * set(X0) ) > X0 ) ).

tff(func_def_2474,type,
    iG975: 
      !>[X0: $tType] : ( ( X0 * set(X0) ) > X0 ) ).

tff(func_def_2475,type,
    iG976: 
      !>[X0: $tType] : ( ( X0 * set(X0) ) > X0 ) ).

tff(func_def_2476,type,
    iG977: 
      !>[X0: $tType] : ( ( X0 * set(X0) ) > X0 ) ).

tff(func_def_2477,type,
    iG978: 
      !>[X0: $tType] : ( ( X0 * set(X0) ) > X0 ) ).

tff(func_def_2478,type,
    iG979: 
      !>[X0: $tType] : ( ( nat * X0 ) > X0 ) ).

tff(func_def_2479,type,
    iG980: 
      !>[X0: $tType] : ( ( nat * nat ) > X0 ) ).

tff(func_def_2480,type,
    iG981: 
      !>[X0: $tType] : ( ( nat * X0 ) > X0 ) ).

tff(func_def_2481,type,
    iG982: ( nat * fun(nat,real) ) > real ).

tff(func_def_2482,type,
    iG983: ( int * int ) > product_prod(int,int) ).

tff(func_def_2483,type,
    iG984: 
      !>[X0: $tType] : ( ( nat * nat ) > X0 ) ).

tff(func_def_2484,type,
    lG985: code_integer > int ).

tff(func_def_2485,type,
    iG986: ( code_integer * code_integer ) > int ).

tff(func_def_2486,type,
    lG987: nat > a ).

tff(func_def_2487,type,
    iG988: ( nat * nat ) > a ).

tff(func_def_2488,type,
    bG989: $o > $o ).

tff(func_def_2489,type,
    bG990: $o > $o ).

tff(func_def_2490,type,
    lG991: code_integer > num ).

tff(func_def_2491,type,
    lG992: code_integer > num ).

tff(func_def_2492,type,
    iG993: ( code_integer * code_integer ) > num ).

tff(func_def_2493,type,
    lG994: code_integer > nat ).

tff(func_def_2494,type,
    lG995: code_integer > nat ).

tff(func_def_2495,type,
    iG996: ( code_integer * code_integer ) > nat ).

tff(func_def_2496,type,
    bG997: int > $o ).

tff(func_def_2497,type,
    iG998: ( nat * fun(nat,real) * fun(nat,real) ) > real ).

tff(func_def_2498,type,
    iG999: ( nat * fun(nat,real) * fun(nat,real) ) > real ).

tff(func_def_2499,type,
    iG1000: ( code_integer * num * code_integer ) > product_prod(code_integer,code_integer) ).

tff(func_def_2500,type,
    iG1001: ( nat * num * nat ) > product_prod(nat,nat) ).

tff(func_def_2501,type,
    iG1002: ( int * num * int ) > product_prod(int,int) ).

tff(func_def_2502,type,
    iG1003: 
      !>[X0: $tType] : ( ( X0 * num * X0 ) > product_prod(X0,X0) ) ).

tff(func_def_2503,type,
    iG1004: 
      !>[X0: $tType] : ( ( set(nat) * nat * fun(nat,X0) ) > X0 ) ).

tff(func_def_2504,type,
    iG1005: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * X1 * fun(X1,X0) ) > X0 ) ).

tff(func_def_2505,type,
    iG1006: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * X1 * fun(X1,X0) ) > X0 ) ).

tff(func_def_2506,type,
    iG1007: 
      !>[X0: $tType,X1: $tType] : ( ( X1 * X1 * fun(X1,X0) ) > X0 ) ).

tff(func_def_2507,type,
    iG1008: 
      !>[X0: $tType,X1: $tType] : ( ( X1 * X1 * fun(X1,X0) ) > X0 ) ).

tff(func_def_2508,type,
    iG1009: 
      !>[X0: $tType] : ( ( nat * nat * fun(nat,X0) ) > X0 ) ).

tff(func_def_2509,type,
    iG1010: 
      !>[X0: $tType,X1: $tType] : ( ( X1 * X1 * fun(X1,X0) ) > X0 ) ).

tff(func_def_2510,type,
    iG1011: 
      !>[X0: $tType,X1: $tType] : ( ( X1 * X1 * fun(X1,X0) ) > X0 ) ).

tff(func_def_2511,type,
    iG1012: ( code_integer * code_integer * code_integer ) > product_prod(code_integer,code_integer) ).

tff(func_def_2512,type,
    iG1013: ( code_integer * code_integer * code_integer ) > product_prod(code_integer,code_integer) ).

tff(func_def_2513,type,
    iG1014: ( code_integer * code_integer * code_integer ) > product_prod(code_integer,code_integer) ).

tff(func_def_2514,type,
    iG1015: 
      !>[X0: $tType] : ( ( X0 * fun(X0,$o) * set(X0) ) > set(X0) ) ).

tff(func_def_2515,type,
    iG1016: 
      !>[X0: $tType] : ( ( nat * fun(nat,$o) * fun(nat,X0) ) > X0 ) ).

tff(func_def_2516,type,
    iG1017: 
      !>[X0: $tType,X1: $tType] : ( ( X1 * fun(X1,$o) * fun(X1,X0) ) > X0 ) ).

tff(func_def_2517,type,
    iG1018: 
      !>[X0: $tType,X1: $tType] : ( ( X1 * fun(X1,$o) * fun(X1,X0) ) > X0 ) ).

tff(func_def_2518,type,
    bG1019: $o > $o ).

tff(func_def_2519,type,
    iG1020: 
      !>[X0: $tType] : ( ( $o * set(X0) * set(X0) ) > set(X0) ) ).

tff(func_def_2520,type,
    iG1021: 
      !>[X0: $tType] : ( ( nat * nat ) > X0 ) ).

tff(func_def_2521,type,
    iG1022: ( code_integer * code_integer * code_integer ) > code_integer ).

tff(func_def_2522,type,
    bG1023: code_integer > $o ).

tff(func_def_2523,type,
    bG1024: $o > $o ).

tff(func_def_2524,type,
    bG1025: $o > $o ).

tff(func_def_2525,type,
    bG1026: $o > $o ).

tff(func_def_2526,type,
    bG1027: $o > $o ).

tff(func_def_2527,type,
    bG1028: $o > $o ).

tff(func_def_2528,type,
    bG1029: $o > $o ).

tff(func_def_2529,type,
    bG1030: $o > $o ).

tff(func_def_2530,type,
    bG1031: $o > $o ).

tff(func_def_2531,type,
    iG1032: 
      !>[X0: $tType] : ( ( nat * nat * X0 * X0 ) > X0 ) ).

tff(func_def_2532,type,
    iG1033: 
      !>[X0: $tType] : ( ( nat * nat * X0 * X0 ) > X0 ) ).

tff(func_def_2533,type,
    iG1034: 
      !>[X0: $tType] : ( ( nat * nat * X0 * X0 ) > X0 ) ).

tff(func_def_2534,type,
    iG1035: 
      !>[X0: $tType] : ( ( nat * nat * fun(nat,X0) ) > X0 ) ).

tff(func_def_2535,type,
    iG1036: 
      !>[X0: $tType] : ( ( nat * nat * fun(nat,X0) * fun(nat,X0) ) > X0 ) ).

tff(func_def_2536,type,
    iG1037: 
      !>[X0: $tType] : ( ( nat * nat * fun(nat,X0) ) > X0 ) ).

tff(func_def_2537,type,
    iG1038: 
      !>[X0: $tType] : ( ( nat * nat * fun(nat,X0) * fun(nat,X0) ) > X0 ) ).

tff(func_def_2538,type,
    iG1039: 
      !>[X0: $tType,X1: $tType] : ( ( X1 * X1 * fun(X1,X0) * fun(X1,X0) ) > X0 ) ).

tff(func_def_2539,type,
    iG1040: 
      !>[X0: $tType] : ( ( nat * nat * fun(nat,X0) * fun(nat,X0) ) > X0 ) ).

tff(func_def_2540,type,
    iG1041: 
      !>[X0: $tType] : ( ( nat * nat * fun(nat,X0) * fun(nat,X0) ) > X0 ) ).

tff(func_def_2541,type,
    iG1042: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * X1 * fun(X1,X0) * fun(X1,X0) ) > X0 ) ).

tff(func_def_2542,type,
    iG1043: 
      !>[X0: $tType] : ( ( set(nat) * nat * fun(nat,X0) * fun(nat,X0) ) > X0 ) ).

tff(func_def_2543,type,
    iG1044: 
      !>[X0: $tType,X1: $tType] : ( ( X1 * X1 * fun(X1,X0) * fun(X1,X0) ) > X0 ) ).

tff(func_def_2544,type,
    iG1045: 
      !>[X0: $tType,X1: $tType] : ( ( X1 * X1 * fun(X1,X0) * fun(X1,X0) ) > X0 ) ).

tff(func_def_2545,type,
    iG1046: 
      !>[X0: $tType,X1: $tType] : ( ( X1 * X1 * X0 * fun(X1,X0) ) > X0 ) ).

tff(func_def_2546,type,
    iG1047: 
      !>[X0: $tType,X1: $tType] : ( ( X1 * fun(X1,$o) * fun(X1,X0) * fun(X1,X0) ) > X0 ) ).

tff(func_def_2547,type,
    iG1048: 
      !>[X0: $tType,X1: $tType] : ( ( X1 * fun(X1,$o) * fun(X1,X0) * fun(X1,X0) ) > X0 ) ).

tff(func_def_2548,type,
    iG1049: 
      !>[X0: $tType,X1: $tType] : ( ( X1 * fun(X1,$o) * fun(X1,X0) * fun(X1,X0) ) > X0 ) ).

tff(func_def_2549,type,
    iG1050: 
      !>[X0: $tType,X1: $tType] : ( ( X1 * fun(X1,$o) * fun(X1,X0) * fun(X1,X0) ) > X0 ) ).

tff(func_def_2550,type,
    iG1051: 
      !>[X0: $tType,X1: $tType] : ( ( X1 * fun(X1,$o) * fun(X1,X0) * fun(X1,X0) ) > X0 ) ).

tff(func_def_2551,type,
    bG1052: $o > $o ).

tff(func_def_2552,type,
    bG1053: $o > $o ).

tff(func_def_2553,type,
    bG1054: $o > $o ).

tff(func_def_2554,type,
    bG1055: $o > $o ).

tff(func_def_2555,type,
    bG1056: $o > $o ).

tff(func_def_2556,type,
    bG1057: $o > $o ).

tff(func_def_2557,type,
    iG1058: 
      !>[X0: $tType] : ( ( nat * nat ) > X0 ) ).

tff(func_def_2558,type,
    iG1059: 
      !>[X0: $tType] : ( ( nat * nat * X0 ) > X0 ) ).

tff(func_def_2559,type,
    bG1060: $o > $o ).

tff(func_def_2560,type,
    bG1061: $o > $o ).

tff(func_def_2561,type,
    bG1062: $o > $o ).

tff(func_def_2562,type,
    bG1063: $o > $o ).

tff(func_def_2563,type,
    bG1064: $o > $o ).

tff(func_def_2564,type,
    bG1065: $o > $o ).

tff(func_def_2565,type,
    bG1066: $o > $o ).

tff(func_def_2566,type,
    bG1067: $o > $o ).

tff(func_def_2567,type,
    bG1068: $o > $o ).

tff(func_def_2568,type,
    bG1069: $o > $o ).

tff(func_def_2569,type,
    bG1070: $o > $o ).

tff(func_def_2570,type,
    bG1071: $o > $o ).

tff(func_def_2571,type,
    bG1072: $o > $o ).

tff(func_def_2572,type,
    bG1073: $o > $o ).

tff(func_def_2573,type,
    bG1074: $o > $o ).

tff(func_def_2574,type,
    bG1075: $o > $o ).

tff(func_def_2575,type,
    bG1076: $o > $o ).

tff(func_def_2576,type,
    bG1077: $o > $o ).

tff(func_def_2577,type,
    bG1078: $o > $o ).

tff(func_def_2578,type,
    bG1079: $o > $o ).

tff(func_def_2579,type,
    bG1080: $o > $o ).

tff(func_def_2580,type,
    bG1081: $o > $o ).

tff(func_def_2581,type,
    bG1082: $o > $o ).

tff(func_def_2582,type,
    bG1083: $o > $o ).

tff(func_def_2583,type,
    bG1084: $o > $o ).

tff(func_def_2584,type,
    bG1085: $o > $o ).

tff(func_def_2585,type,
    bG1086: $o > $o ).

tff(func_def_2586,type,
    bG1087: $o > $o ).

tff(func_def_2587,type,
    bG1088: $o > $o ).

tff(func_def_2588,type,
    bG1089: $o > $o ).

tff(func_def_2589,type,
    bG1090: $o > $o ).

tff(func_def_2590,type,
    bG1091: $o > $o ).

tff(func_def_2591,type,
    bG1093: $o > $o ).

tff(func_def_2592,type,
    bG1094: $o > $o ).

tff(func_def_2593,type,
    bG1095: $o > $o ).

tff(func_def_2594,type,
    bG1096: $o > $o ).

tff(func_def_2595,type,
    bG1097: $o > $o ).

tff(func_def_2596,type,
    bG1098: $o > $o ).

tff(func_def_2597,type,
    bG1099: $o > $o ).

tff(func_def_2598,type,
    bG1100: $o > $o ).

tff(func_def_2599,type,
    bG1101: $o > $o ).

tff(func_def_2600,type,
    bG1102: $o > $o ).

tff(func_def_2601,type,
    bG1103: $o > $o ).

tff(func_def_2602,type,
    bG1104: $o > $o ).

tff(func_def_2603,type,
    bG1105: $o > $o ).

tff(func_def_2604,type,
    bG1106: $o > $o ).

tff(func_def_2605,type,
    bG1107: $o > $o ).

tff(func_def_2606,type,
    bG1108: $o > $o ).

tff(func_def_2607,type,
    bG1109: $o > $o ).

tff(func_def_2608,type,
    bG1110: $o > $o ).

tff(func_def_2609,type,
    bG1111: $o > $o ).

tff(func_def_2610,type,
    bG1112: $o > $o ).

tff(func_def_2611,type,
    bG1113: $o > $o ).

tff(func_def_2612,type,
    bG1114: $o > $o ).

tff(func_def_2613,type,
    bG1115: $o > $o ).

tff(func_def_2614,type,
    bG1116: $o > $o ).

tff(func_def_2615,type,
    bG1117: $o > $o ).

tff(func_def_2616,type,
    bG1118: $o > $o ).

tff(func_def_2617,type,
    bG1119: $o > $o ).

tff(func_def_2618,type,
    bG1120: $o > $o ).

tff(func_def_2619,type,
    bG1121: $o > $o ).

tff(func_def_2620,type,
    bG1122: $o > $o ).

tff(func_def_2621,type,
    bG1123: $o > $o ).

tff(func_def_2622,type,
    sK1205: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,X1) * X1 ) > X0 ) ).

tff(func_def_2623,type,
    sK1206: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * X0 * fun(X1,X0) ) > X1 ) ).

tff(func_def_2624,type,
    sK1207: 
      !>[X0: $tType,X1: $tType] : ( ( X1 * set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_2625,type,
    sK1208: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * fun(X1,X0) ) > X1 ) ).

tff(func_def_2626,type,
    sK1209: fun(nat,$o) > nat ).

tff(func_def_2627,type,
    sK1210: ( nat * fun(nat,$o) ) > nat ).

tff(func_def_2628,type,
    sK1211: ( nat * fun(nat,$o) ) > nat ).

tff(func_def_2629,type,
    sK1212: 
      !>[X0: $tType] : ( ( fun(X0,$o) * fun(X0,nat) ) > X0 ) ).

tff(func_def_2630,type,
    sK1213: 
      !>[X0: $tType] : ( ( fun(X0,$o) * fun(X0,nat) * nat ) > X0 ) ).

tff(func_def_2631,type,
    sK1214: 
      !>[X0: $tType] : ( ( fun(X0,$o) * fun(X0,nat) ) > X0 ) ).

tff(func_def_2632,type,
    sK1215: fun(nat,$o) > nat ).

tff(func_def_2633,type,
    sK1216: ( fun(nat,$o) * nat ) > nat ).

tff(func_def_2634,type,
    sK1217: ( fun(nat,$o) * nat ) > nat ).

tff(func_def_2635,type,
    sK1218: 
      !>[X0: $tType] : ( ( fun(X0,nat) * fun(X0,$o) ) > X0 ) ).

tff(func_def_2636,type,
    sK1219: 
      !>[X0: $tType] : ( ( fun(X0,nat) * fun(X0,$o) ) > X0 ) ).

tff(func_def_2637,type,
    sK1220: fun(nat,$o) > nat ).

tff(func_def_2638,type,
    sK1221: fun(nat,nat) > nat ).

tff(func_def_2639,type,
    sK1222: fun(nat,nat) > nat ).

tff(func_def_2640,type,
    sK1223: fun(nat,$o) > nat ).

tff(func_def_2641,type,
    sK1224: ( fun(nat,$o) * nat ) > nat ).

tff(func_def_2642,type,
    sK1225: 
      !>[X0: $tType] : ( ( fun(X0,$o) * fun(X0,nat) ) > X0 ) ).

tff(func_def_2643,type,
    sK1226: fun(nat,$o) > nat ).

tff(func_def_2644,type,
    sK1227: fun(nat,$o) > nat ).

tff(func_def_2645,type,
    sK1228: 
      !>[X0: $tType] : ( ( list(X0) * fun(X0,$o) ) > X0 ) ).

tff(func_def_2646,type,
    sK1229: 
      !>[X0: $tType] : ( ( X0 * list(X0) ) > nat ) ).

tff(func_def_2647,type,
    sK1230: 
      !>[X0: $tType] : ( ( list(X0) * fun(X0,$o) ) > nat ) ).

tff(func_def_2648,type,
    sK1231: 
      !>[X0: $tType] : ( ( list(X0) * fun(X0,$o) ) > nat ) ).

tff(func_def_2649,type,
    sK1232: 
      !>[X0: $tType] : ( ( list(X0) * fun(X0,$o) ) > X0 ) ).

tff(func_def_2650,type,
    sK1233: 
      !>[X0: $tType] : ( ( list(X0) * fun(X0,$o) ) > X0 ) ).

tff(func_def_2651,type,
    sK1234: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) ) > nat ) ).

tff(func_def_2652,type,
    sK1235: 
      !>[X0: $tType] : ( ( fun(nat,fun(X0,$o)) * nat ) > X0 ) ).

tff(func_def_2653,type,
    sK1236: 
      !>[X0: $tType] : ( ( nat * fun(nat,fun(X0,$o)) * list(X0) ) > nat ) ).

tff(func_def_2654,type,
    sK1237: 
      !>[X0: $tType] : ( ( nat * fun(nat,fun(X0,$o)) ) > list(X0) ) ).

tff(func_def_2655,type,
    sK1238: 
      !>[X0: $tType] : ( ( nat * fun(nat,fun(X0,$o)) ) > nat ) ).

tff(func_def_2656,type,
    sK1239: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) ) > nat ) ).

tff(func_def_2657,type,
    sK1240: 
      !>[X0: $tType] : ( ( list(X0) * nat ) > X0 ) ).

tff(func_def_2658,type,
    sK1241: 
      !>[X0: $tType] : ( ( list(X0) * nat ) > list(X0) ) ).

tff(func_def_2659,type,
    sK1242: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) ) > list(X0) ) ).

tff(func_def_2660,type,
    sK1243: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) ) > X0 ) ).

tff(func_def_2661,type,
    sK1244: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) ) > list(X0) ) ).

tff(func_def_2662,type,
    sK1245: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) ) > X0 ) ).

tff(func_def_2663,type,
    sK1246: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) ) > list(X0) ) ).

tff(func_def_2664,type,
    sK1247: 
      !>[X0: $tType] : ( ( nat * list(X0) ) > X0 ) ).

tff(func_def_2665,type,
    sK1248: 
      !>[X0: $tType] : ( ( nat * list(X0) ) > list(X0) ) ).

tff(func_def_2666,type,
    sK1249: 
      !>[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_2667,type,
    sK1250: 
      !>[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_2668,type,
    sK1251: 
      !>[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_2669,type,
    sK1252: 
      !>[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_2670,type,
    sK1253: 
      !>[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_2671,type,
    sK1254: 
      !>[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_2672,type,
    sK1255: 
      !>[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_2673,type,
    sK1256: 
      !>[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_2674,type,
    sK1257: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( fun(list(X1),fun(list(X0),fun(list(X2),$o))) > X1 ) ).

tff(func_def_2675,type,
    sK1258: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( fun(list(X1),fun(list(X0),fun(list(X2),$o))) > list(X1) ) ).

tff(func_def_2676,type,
    sK1259: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( fun(list(X1),fun(list(X0),fun(list(X2),$o))) > X0 ) ).

tff(func_def_2677,type,
    sK1260: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( fun(list(X1),fun(list(X0),fun(list(X2),$o))) > list(X0) ) ).

tff(func_def_2678,type,
    sK1261: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( fun(list(X1),fun(list(X0),fun(list(X2),$o))) > X2 ) ).

tff(func_def_2679,type,
    sK1262: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( fun(list(X1),fun(list(X0),fun(list(X2),$o))) > list(X2) ) ).

tff(func_def_2680,type,
    sK1263: 
      !>[X0: $tType,X1: $tType] : ( fun(list(X0),fun(list(X1),$o)) > X0 ) ).

tff(func_def_2681,type,
    sK1264: 
      !>[X0: $tType,X1: $tType] : ( fun(list(X0),fun(list(X1),$o)) > list(X0) ) ).

tff(func_def_2682,type,
    sK1265: 
      !>[X0: $tType,X1: $tType] : ( fun(list(X0),fun(list(X1),$o)) > X1 ) ).

tff(func_def_2683,type,
    sK1266: 
      !>[X0: $tType,X1: $tType] : ( fun(list(X0),fun(list(X1),$o)) > list(X1) ) ).

tff(func_def_2684,type,
    sK1267: 
      !>[X0: $tType] : ( ( nat * list(X0) ) > X0 ) ).

tff(func_def_2685,type,
    sK1268: 
      !>[X0: $tType] : ( ( nat * list(X0) ) > list(X0) ) ).

tff(func_def_2686,type,
    sK1269: 
      !>[X0: $tType] : ( ( list(X0) * nat ) > X0 ) ).

tff(func_def_2687,type,
    sK1270: 
      !>[X0: $tType] : ( ( list(X0) * nat ) > list(X0) ) ).

tff(func_def_2688,type,
    sK1271: 
      !>[X0: $tType] : ( set(list(X0)) > nat ) ).

tff(func_def_2689,type,
    sK1272: 
      !>[X0: $tType] : ( fun(list(X0),$o) > list(X0) ) ).

tff(func_def_2690,type,
    sK1273: 
      !>[X0: $tType] : ( nat > list(X0) ) ).

tff(func_def_2691,type,
    sK1274: fun(int,$o) > int ).

tff(func_def_2692,type,
    sK1275: fun(int,$o) > int ).

tff(func_def_2693,type,
    sK1276: fun(nat,$o) > nat ).

tff(func_def_2694,type,
    sK1277: fun(nat,$o) > nat ).

tff(func_def_2695,type,
    sK1278: ( nat * nat ) > nat ).

tff(func_def_2696,type,
    sK1279: ( nat * nat ) > nat ).

tff(func_def_2697,type,
    sK1280: 
      !>[X0: $tType] : ( ( fun(X0,$o) * X0 * fun(X0,nat) * nat ) > X0 ) ).

tff(func_def_2698,type,
    sK1281: 
      !>[X0: $tType] : ( ( fun(X0,$o) * fun(X0,nat) ) > X0 ) ).

tff(func_def_2699,type,
    sK1282: ( fun(real,fun(real,$o)) * real * real ) > real ).

tff(func_def_2700,type,
    sK1283: ( fun(real,fun(real,$o)) * real * real * real ) > real ).

tff(func_def_2701,type,
    sK1284: ( fun(real,fun(real,$o)) * real * real * real ) > real ).

tff(func_def_2702,type,
    sK1285: fun(real,fun(real,$o)) > real ).

tff(func_def_2703,type,
    sK1286: fun(real,fun(real,$o)) > real ).

tff(func_def_2704,type,
    sK1287: fun(real,fun(real,$o)) > real ).

tff(func_def_2705,type,
    sK1288: ( int * fun(int,$o) ) > int ).

tff(func_def_2706,type,
    sK1289: ( int * fun(int,$o) ) > int ).

tff(func_def_2707,type,
    sK1290: fun(int,$o) > int ).

tff(func_def_2708,type,
    sK1291: ( fun(int,$o) * fun(int,$o) * int ) > int ).

tff(func_def_2709,type,
    sK1292: ( int * fun(int,$o) ) > int ).

tff(func_def_2710,type,
    sK1293: ( int * fun(int,$o) ) > int ).

tff(func_def_2711,type,
    sK1294: fun(int,$o) > int ).

tff(func_def_2712,type,
    sK1295: ( fun(int,$o) * fun(int,$o) * int ) > int ).

tff(func_def_2713,type,
    sK1296: ( int * fun(int,$o) ) > int ).

tff(func_def_2714,type,
    sK1297: ( int * fun(int,$o) ) > int ).

tff(func_def_2715,type,
    sK1298: ( int * fun(int,$o) ) > int ).

tff(func_def_2716,type,
    sK1299: ( int * fun(int,$o) ) > int ).

tff(func_def_2717,type,
    sK1300: ( fun(int,$o) * int * int ) > int ).

tff(func_def_2718,type,
    sK1301: ( fun(int,$o) * int * int ) > int ).

tff(func_def_2719,type,
    sK1302: ( fun(int,$o) * int * int ) > int ).

tff(func_def_2720,type,
    sK1303: ( fun(int,$o) * int * int ) > int ).

tff(func_def_2721,type,
    sK1304: ( fun(nat,$o) * nat * nat ) > nat ).

tff(func_def_2722,type,
    sK1305: ( fun(nat,$o) * nat * nat ) > nat ).

tff(func_def_2723,type,
    sK1306: ( fun(nat,$o) * nat * nat ) > nat ).

tff(func_def_2724,type,
    sK1307: ( fun(nat,$o) * nat * nat ) > nat ).

tff(func_def_2725,type,
    sK1308: ( nat * nat ) > nat ).

tff(func_def_2726,type,
    sK1309: fun(nat,nat) > nat ).

tff(func_def_2727,type,
    sK1310: fun(nat,nat) > nat ).

tff(func_def_2728,type,
    sK1311: ( fun(nat,$o) * nat * nat ) > nat ).

tff(func_def_2729,type,
    sK1312: ( vEBT_VEBT * list(vEBT_VEBT) * nat ) > nat ).

tff(func_def_2730,type,
    sK1313: ( vEBT_VEBT * list(vEBT_VEBT) * nat ) > nat ).

tff(func_def_2731,type,
    sK1314: ( nat * nat * list(vEBT_VEBT) * nat * nat ) > nat ).

tff(func_def_2732,type,
    sK1315: ( nat * nat * list(vEBT_VEBT) * nat * nat ) > nat ).

tff(func_def_2733,type,
    sK1316: list(vEBT_VEBT) > vEBT_VEBT ).

tff(func_def_2734,type,
    sK1317: list(vEBT_VEBT) > nat ).

tff(func_def_2735,type,
    sK1318: ( list(vEBT_VEBT) * nat ) > vEBT_VEBT ).

tff(func_def_2736,type,
    sK1319: ( vEBT_VEBT * list(vEBT_VEBT) * nat ) > nat ).

tff(func_def_2737,type,
    sK1320: ( vEBT_VEBT * list(vEBT_VEBT) * nat ) > nat ).

tff(func_def_2738,type,
    sK1321: ( nat * nat * list(vEBT_VEBT) * nat * nat ) > nat ).

tff(func_def_2739,type,
    sK1322: ( nat * nat * list(vEBT_VEBT) * nat * nat ) > nat ).

tff(func_def_2740,type,
    sK1323: list(vEBT_VEBT) > vEBT_VEBT ).

tff(func_def_2741,type,
    sK1324: list(vEBT_VEBT) > nat ).

tff(func_def_2742,type,
    sK1325: ( list(vEBT_VEBT) * nat ) > vEBT_VEBT ).

tff(func_def_2743,type,
    sK1326: int > nat ).

tff(func_def_2744,type,
    sK1327: ( real * real ) > nat ).

tff(func_def_2745,type,
    sK1328: int > nat ).

tff(func_def_2746,type,
    sK1329: int > nat ).

tff(func_def_2747,type,
    sK1330: int > nat ).

tff(func_def_2748,type,
    sK1331: int > nat ).

tff(func_def_2749,type,
    sK1332: int > nat ).

tff(func_def_2750,type,
    sK1333: int > nat ).

tff(func_def_2751,type,
    sK1334: ( int * int ) > nat ).

tff(func_def_2752,type,
    sK1335: int > nat ).

tff(func_def_2753,type,
    sK1336: int > nat ).

tff(func_def_2754,type,
    sK1337: ( real * real ) > nat ).

tff(func_def_2755,type,
    sK1338: ( int * int ) > nat ).

tff(func_def_2756,type,
    sK1339: int > nat ).

tff(func_def_2757,type,
    sK1340: int > nat ).

tff(func_def_2758,type,
    sK1341: fun(int,$o) > nat ).

tff(func_def_2759,type,
    sK1342: fun(int,$o) > nat ).

tff(func_def_2760,type,
    sK1343: int > nat ).

tff(func_def_2761,type,
    sK1344: int > nat ).

tff(func_def_2762,type,
    sK1345: int > nat ).

tff(func_def_2763,type,
    sK1346: int > nat ).

tff(func_def_2764,type,
    sK1347: ( fun(int,$o) * int ) > int ).

tff(func_def_2765,type,
    sK1348: ( fun(int,$o) * int ) > int ).

tff(func_def_2766,type,
    sK1349: ( int * fun(int,$o) ) > int ).

tff(func_def_2767,type,
    sK1350: ( int * fun(int,$o) ) > int ).

tff(func_def_2768,type,
    sK1351: ( real * real ) > nat ).

tff(func_def_2769,type,
    sK1352: fun(nat,$o) > nat ).

tff(func_def_2770,type,
    sK1353: ( real * real ) > nat ).

tff(func_def_2771,type,
    sK1354: fun(nat,fun(nat,$o)) > nat ).

tff(func_def_2772,type,
    sK1355: fun(nat,fun(nat,$o)) > nat ).

tff(func_def_2773,type,
    sK1356: fun(nat,fun(nat,$o)) > nat ).

tff(func_def_2774,type,
    sK1357: fun(nat,fun(nat,$o)) > nat ).

tff(func_def_2775,type,
    sK1358: fun(nat,fun(nat,$o)) > nat ).

tff(func_def_2776,type,
    sK1359: ( nat * nat ) > nat ).

tff(func_def_2777,type,
    sK1360: ( nat * nat ) > nat ).

tff(func_def_2778,type,
    sK1361: ( nat * nat ) > nat ).

tff(func_def_2779,type,
    sK1362: ( nat * nat ) > nat ).

tff(func_def_2780,type,
    sK1363: ( nat * nat ) > nat ).

tff(func_def_2781,type,
    sK1364: nat > nat ).

tff(func_def_2782,type,
    sK1365: nat > nat ).

tff(func_def_2783,type,
    sK1366: fun(extended_enat,$o) > extended_enat ).

tff(func_def_2784,type,
    sK1367: set(real) > real ).

tff(func_def_2785,type,
    sK1368: ( set(real) * real ) > real ).

tff(func_def_2786,type,
    sK1369: ( set(real) * real ) > real ).

tff(func_def_2787,type,
    sK1370: rat > rat ).

tff(func_def_2788,type,
    sK1371: rat > rat ).

tff(func_def_2789,type,
    sK1372: 
      !>[X0: $tType] : ( ( nat * fun(X0,fun(X0,$o)) * X0 * X0 ) > X0 ) ).

tff(func_def_2790,type,
    sK1373: 
      !>[X0: $tType] : ( ( nat * fun(X0,fun(X0,$o)) * X0 * X0 ) > nat ) ).

tff(func_def_2791,type,
    sK1374: 
      !>[X0: $tType] : ( ( nat * fun(X0,fun(X0,$o)) * X0 * X0 ) > X0 ) ).

tff(func_def_2792,type,
    sK1375: 
      !>[X0: $tType] : ( ( nat * fun(X0,fun(X0,$o)) * X0 * X0 ) > nat ) ).

tff(func_def_2793,type,
    sK1376: 
      !>[X0: $tType] : ( ( nat * fun(X0,fun(X0,$o)) * X0 * X0 ) > X0 ) ).

tff(func_def_2794,type,
    sK1377: 
      !>[X0: $tType] : ( ( nat * fun(X0,fun(X0,$o)) * X0 * X0 ) > X0 ) ).

tff(func_def_2795,type,
    sK1378: 
      !>[X0: $tType] : ( ( nat * fun(X0,fun(X0,$o)) * X0 * X0 ) > X0 ) ).

tff(func_def_2796,type,
    sK1379: 
      !>[X0: $tType] : ( ( nat * fun(X0,fun(X0,$o)) * fun(nat,X0) ) > nat ) ).

tff(func_def_2797,type,
    sK1380: 
      !>[X0: $tType] : ( ( nat * fun(X0,fun(X0,$o)) * X0 * X0 ) > fun(nat,X0) ) ).

tff(func_def_2798,type,
    sK1381: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( set(X2) * fun(X0,X1) * fun(X2,X0) ) > X2 ) ).

tff(func_def_2799,type,
    sK1382: 
      !>[X0: $tType] : ( ( fun(nat,X0) * fun(nat,X0) ) > nat ) ).

tff(func_def_2800,type,
    sK1383: 
      !>[X0: $tType] : ( ( fun(nat,X0) * set(nat) ) > nat ) ).

tff(func_def_2801,type,
    sK1384: 
      !>[X0: $tType] : ( fun(nat,X0) > nat ) ).

tff(func_def_2802,type,
    sK1385: 
      !>[X0: $tType] : ( fun(nat,X0) > nat ) ).

tff(func_def_2803,type,
    sK1386: 
      !>[X0: $tType] : ( fun(nat,X0) > nat ) ).

tff(func_def_2804,type,
    sK1387: 
      !>[X0: $tType] : ( fun(nat,X0) > nat ) ).

tff(func_def_2805,type,
    sK1388: 
      !>[X0: $tType] : ( fun(nat,X0) > nat ) ).

tff(func_def_2806,type,
    sK1389: 
      !>[X0: $tType] : ( fun(nat,X0) > nat ) ).

tff(func_def_2807,type,
    sK1390: 
      !>[X0: $tType] : ( fun(nat,X0) > nat ) ).

tff(func_def_2808,type,
    sK1391: 
      !>[X0: $tType] : ( ( fun(nat,X0) * fun(nat,X0) ) > nat ) ).

tff(func_def_2809,type,
    sK1392: 
      !>[X0: $tType] : ( ( fun(nat,X0) * X0 ) > nat ) ).

tff(func_def_2810,type,
    sK1393: 
      !>[X0: $tType] : ( fun(nat,X0) > nat ) ).

tff(func_def_2811,type,
    sK1394: 
      !>[X0: $tType] : ( ( fun(nat,X0) * X0 ) > nat ) ).

tff(func_def_2812,type,
    sK1395: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_2813,type,
    sK1396: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_2814,type,
    sK1397: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_2815,type,
    sK1398: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,X1) ) > X0 ) ).

tff(func_def_2816,type,
    sK1399: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,X1) ) > X0 ) ).

tff(func_def_2817,type,
    sK1400: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,X1) ) > X0 ) ).

tff(func_def_2818,type,
    sK1401: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,X1) ) > X0 ) ).

tff(func_def_2819,type,
    sK1402: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( set(X0) * set(X2) * fun(X2,X1) * fun(X2,X0) * fun(X0,X1) ) > X0 ) ).

tff(func_def_2820,type,
    sK1403: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_2821,type,
    sK1404: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_2822,type,
    sK1405: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,X1) ) > X0 ) ).

tff(func_def_2823,type,
    sK1406: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,X0) * fun(X1,X0) ) > X1 ) ).

tff(func_def_2824,type,
    sK1407: 
      !>[X0: $tType] : ( ( fun(nat,set(X0)) * nat ) > nat ) ).

tff(func_def_2825,type,
    sK1408: 
      !>[X0: $tType] : ( ( fun(nat,set(X0)) * nat ) > nat ) ).

tff(func_def_2826,type,
    sK1409: 
      !>[X0: $tType] : ( ( fun(nat,set(X0)) * nat ) > nat ) ).

tff(func_def_2827,type,
    sK1410: 
      !>[X0: $tType] : ( ( fun(nat,set(X0)) * set(X0) ) > nat ) ).

tff(func_def_2828,type,
    sK1411: 
      !>[X0: $tType] : ( set(set(X0)) > set(X0) ) ).

tff(func_def_2829,type,
    sK1412: 
      !>[X0: $tType] : ( set(set(X0)) > set(X0) ) ).

tff(func_def_2830,type,
    sK1413: 
      !>[X0: $tType] : ( ( set(set(X0)) * nat ) > set(X0) ) ).

tff(func_def_2831,type,
    sK1414: 
      !>[X0: $tType] : ( set(set(X0)) > set(X0) ) ).

tff(func_def_2832,type,
    sK1415: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,X1) * X1 ) > X0 ) ).

tff(func_def_2833,type,
    sK1416: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,X1) * X1 ) > X0 ) ).

tff(func_def_2834,type,
    sK1417: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,X0) * real ) > X1 ) ).

tff(func_def_2835,type,
    sK1418: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_2836,type,
    sK1419: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_2837,type,
    sK1420: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_2838,type,
    sK1421: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_2839,type,
    sK1422: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_2840,type,
    sK1423: 
      !>[X0: $tType] : ( ( nat * set(X0) ) > X0 ) ).

tff(func_def_2841,type,
    sK1424: 
      !>[X0: $tType] : ( ( nat * set(X0) ) > set(X0) ) ).

tff(func_def_2842,type,
    sK1425: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_2843,type,
    sK1426: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_2844,type,
    sK1427: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_2845,type,
    sK1428: 
      !>[X0: $tType] : ( ( set(X0) * nat ) > X0 ) ).

tff(func_def_2846,type,
    sK1429: 
      !>[X0: $tType] : ( ( set(X0) * nat ) > set(X0) ) ).

tff(func_def_2847,type,
    sK1430: 
      !>[X0: $tType] : ( ( set(X0) * nat ) > X0 ) ).

tff(func_def_2848,type,
    sK1431: 
      !>[X0: $tType] : ( ( set(X0) * nat ) > set(X0) ) ).

tff(func_def_2849,type,
    sK1432: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_2850,type,
    sK1433: 
      !>[X0: $tType] : ( ( set(X0) * nat ) > set(X0) ) ).

tff(func_def_2851,type,
    sK1434: 
      !>[X0: $tType] : ( ( nat * set(X0) ) > set(X0) ) ).

tff(func_def_2852,type,
    sK1435: 
      !>[X0: $tType] : ( ( set(X0) * nat ) > X0 ) ).

tff(func_def_2853,type,
    sK1436: 
      !>[X0: $tType] : ( ( set(X0) * nat ) > set(X0) ) ).

tff(func_def_2854,type,
    sK1437: 
      !>[X0: $tType] : ( ( set(X0) * X0 * X0 ) > X0 ) ).

tff(func_def_2855,type,
    sK1438: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_2856,type,
    sK1439: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_2857,type,
    sK1440: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,fun(X1,$o)) * set(X1) * set(X0) ) > X0 ) ).

tff(func_def_2858,type,
    sK1441: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,fun(X1,$o)) * set(X1) * set(X0) ) > X0 ) ).

tff(func_def_2859,type,
    sK1442: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,fun(X1,$o)) * set(X1) * set(X0) ) > X1 ) ).

tff(func_def_2860,type,
    sK1443: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * set(X0) * fun(X0,fun(X1,$o)) ) > X0 ) ).

tff(func_def_2861,type,
    sK1444: 
      !>[X0: $tType] : ( ( set(X0) * nat ) > set(X0) ) ).

tff(func_def_2862,type,
    sK1445: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,X0) * fun(X1,real) ) > X1 ) ).

tff(func_def_2863,type,
    sK1446: 
      !>[X0: $tType] : ( ( set(X0) * fun(X0,nat) * X0 ) > X0 ) ).

tff(func_def_2864,type,
    sK1447: 
      !>[X0: $tType] : ( ( set(X0) * fun(X0,nat) ) > X0 ) ).

tff(func_def_2865,type,
    sK1448: 
      !>[X0: $tType] : ( ( fun(X0,nat) * set(X0) ) > X0 ) ).

tff(func_def_2866,type,
    sK1449: 
      !>[X0: $tType] : ( ( set(X0) * fun(X0,nat) * X0 ) > X0 ) ).

tff(func_def_2867,type,
    sK1450: 
      !>[X0: $tType] : ( ( set(X0) * fun(X0,nat) ) > X0 ) ).

tff(func_def_2868,type,
    sK1451: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,fun(X0,$o)) * fun(X1,fun(X0,$o)) ) > X1 ) ).

tff(func_def_2869,type,
    sK1452: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,fun(X0,$o)) * fun(X1,fun(X0,$o)) ) > X0 ) ).

tff(func_def_2870,type,
    sK1453: 
      !>[X0: $tType] : ( ( fun(X0,$o) * fun(X0,$o) ) > X0 ) ).

tff(func_def_2871,type,
    sK1454: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,X1) * set(X1) ) > X0 ) ).

tff(func_def_2872,type,
    sK1455: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * set(X0) * set(X1) ) > X0 ) ).

tff(func_def_2873,type,
    sK1456: 
      !>[X0: $tType,X1: $tType] : ( ( X0 * fun(X1,X0) * set(X1) ) > X1 ) ).

tff(func_def_2874,type,
    sK1457: 
      !>[X0: $tType] : ( ( set(X0) * set(X0) ) > X0 ) ).

tff(func_def_2875,type,
    sK1458: 
      !>[X0: $tType] : ( ( set(X0) * set(X0) ) > X0 ) ).

tff(func_def_2876,type,
    sK1459: 
      !>[X0: $tType] : ( ( set(X0) * set(X0) ) > X0 ) ).

tff(func_def_2877,type,
    sK1460: 
      !>[X0: $tType] : ( ( set(X0) * set(X0) ) > X0 ) ).

tff(func_def_2878,type,
    sK1461: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,set(X0)) ) > X1 ) ).

tff(func_def_2879,type,
    sK1462: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X1,X0) * set(X1) ) > set(X1) ) ).

tff(func_def_2880,type,
    sK1463: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * set(X1) * fun(set(X0),$o) ) > set(X0) ) ).

tff(func_def_2881,type,
    sK1464: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * set(X1) * fun(set(X0),$o) ) > set(X1) ) ).

tff(func_def_2882,type,
    sK1465: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * set(X1) * fun(set(X0),$o) ) > set(X1) ) ).

tff(func_def_2883,type,
    sK1466: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * set(X1) * fun(set(X0),$o) ) > set(X0) ) ).

tff(func_def_2884,type,
    sK1467: 
      !>[X0: $tType] : ( ( set(X0) * set(set(X0)) ) > set(set(X0)) ) ).

tff(func_def_2885,type,
    sK1468: 
      !>[X0: $tType] : ( ( set(X0) * fun(set(X0),$o) ) > set(X0) ) ).

tff(func_def_2886,type,
    sK1469: 
      !>[X0: $tType] : ( ( fun(set(X0),$o) * set(X0) ) > set(X0) ) ).

tff(func_def_2887,type,
    sK1470: 
      !>[X0: $tType] : ( ( set(X0) * fun(set(X0),$o) ) > set(X0) ) ).

tff(func_def_2888,type,
    sK1471: 
      !>[X0: $tType] : ( fun(set(X0),$o) > set(X0) ) ).

tff(func_def_2889,type,
    sK1472: 
      !>[X0: $tType] : ( fun(set(X0),$o) > X0 ) ).

tff(func_def_2890,type,
    sK1473: 
      !>[X0: $tType] : ( fun(set(X0),$o) > set(X0) ) ).

tff(func_def_2891,type,
    sK1474: 
      !>[X0: $tType] : ( ( set(X0) * fun(set(X0),$o) ) > X0 ) ).

tff(func_def_2892,type,
    sK1475: 
      !>[X0: $tType] : ( ( set(X0) * fun(set(X0),$o) ) > set(X0) ) ).

tff(func_def_2893,type,
    sK1476: 
      !>[X0: $tType] : ( ( set(X0) * fun(set(X0),$o) ) > X0 ) ).

tff(func_def_2894,type,
    sK1477: 
      !>[X0: $tType] : ( ( set(X0) * fun(set(X0),$o) ) > set(X0) ) ).

tff(func_def_2895,type,
    sK1478: 
      !>[X0: $tType] : ( fun(set(X0),$o) > X0 ) ).

tff(func_def_2896,type,
    sK1479: 
      !>[X0: $tType] : ( fun(set(X0),$o) > set(X0) ) ).

tff(func_def_2897,type,
    sK1480: 
      !>[X0: $tType] : ( fun(set(X0),$o) > X0 ) ).

tff(func_def_2898,type,
    sK1481: 
      !>[X0: $tType] : ( fun(set(X0),$o) > set(X0) ) ).

tff(func_def_2899,type,
    sK1482: 
      !>[X0: $tType,X1: $tType] : ( ( fun(set(X1),$o) * fun(X1,X0) ) > X1 ) ).

tff(func_def_2900,type,
    sK1483: 
      !>[X0: $tType,X1: $tType] : ( ( fun(set(X1),$o) * fun(X1,X0) ) > set(X1) ) ).

tff(func_def_2901,type,
    sK1484: set(nat) > nat ).

tff(func_def_2902,type,
    sK1485: ( set(nat) * nat ) > nat ).

tff(func_def_2903,type,
    sK1486: ( nat * set(nat) ) > nat ).

tff(func_def_2904,type,
    sK1487: set(nat) > nat ).

tff(func_def_2905,type,
    sK1488: ( set(nat) * nat ) > nat ).

tff(func_def_2906,type,
    sK1489: set(int) > int ).

tff(func_def_2907,type,
    sK1490: ( set(int) * int ) > int ).

tff(func_def_2908,type,
    sK1491: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_2909,type,
    sK1492: 
      !>[X0: $tType] : ( fun(X0,$o) > X0 ) ).

tff(func_def_2910,type,
    sK1493: ( set(nat) * nat ) > nat ).

tff(func_def_2911,type,
    sK1494: set(nat) > nat ).

tff(func_def_2912,type,
    sK1495: ( set(nat) * nat ) > nat ).

tff(func_def_2913,type,
    sK1496: ( set(nat) * nat ) > nat ).

tff(func_def_2914,type,
    sK1497: set(nat) > nat ).

tff(func_def_2915,type,
    sK1498: fun(nat,$o) > nat ).

tff(func_def_2916,type,
    sK1499: 
      !>[X0: $tType] : ( ( set(set(X0)) * X0 ) > set(X0) ) ).

tff(func_def_2917,type,
    sK1500: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,set(X1)) * set(X0) ) > X0 ) ).

tff(func_def_2918,type,
    sK1501: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,set(X1)) * set(X0) ) > X0 ) ).

tff(func_def_2919,type,
    sK1502: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_2920,type,
    sK1503: 
      !>[X0: $tType] : ( ( set(set(X0)) * set(X0) ) > set(X0) ) ).

tff(func_def_2921,type,
    sK1504: 
      !>[X0: $tType] : ( ( fun(nat,fun(X0,$o)) * fun(nat,fun(X0,fun(X0,$o))) ) > fun(nat,X0) ) ).

tff(func_def_2922,type,
    sK1505: 
      !>[X0: $tType] : ( ( fun(nat,fun(X0,$o)) * fun(nat,fun(X0,fun(X0,$o))) ) > X0 ) ).

tff(func_def_2923,type,
    sK1506: 
      !>[X0: $tType] : ( ( fun(nat,fun(X0,$o)) * fun(nat,fun(X0,fun(X0,$o))) ) > nat ) ).

tff(func_def_2924,type,
    sK1507: fun(nat,$o) > nat ).

tff(func_def_2925,type,
    sK1508: nat > nat ).

tff(func_def_2926,type,
    sK1509: ( real * nat ) > real ).

tff(func_def_2927,type,
    sK1510: ( fun(nat,$o) * nat ) > nat ).

tff(func_def_2928,type,
    sK1511: ( nat * nat ) > nat ).

tff(func_def_2929,type,
    sK1512: nat > nat ).

tff(func_def_2930,type,
    sK1513: ( nat * fun(nat,$o) ) > nat ).

tff(func_def_2931,type,
    sK1514: ( nat * fun(nat,$o) ) > nat ).

tff(func_def_2932,type,
    sK1515: nat > nat ).

tff(func_def_2933,type,
    sK1516: ( nat * fun(nat,$o) ) > nat ).

tff(func_def_2934,type,
    sK1517: ( nat * fun(nat,$o) ) > nat ).

tff(func_def_2935,type,
    sK1518: nat > nat ).

tff(func_def_2936,type,
    sK1519: nat > nat ).

tff(func_def_2937,type,
    sK1520: fun(nat,$o) > nat ).

tff(func_def_2938,type,
    sK1521: fun(nat,fun(nat,$o)) > nat ).

tff(func_def_2939,type,
    sK1522: fun(nat,fun(nat,$o)) > nat ).

tff(func_def_2940,type,
    sK1523: fun(nat,fun(nat,$o)) > nat ).

tff(func_def_2941,type,
    sK1524: fun(nat,fun(nat,$o)) > nat ).

tff(func_def_2942,type,
    sK1525: fun(nat,$o) > nat ).

tff(func_def_2943,type,
    sK1526: nat > nat ).

tff(func_def_2944,type,
    sK1527: ( nat * nat * fun(nat,$o) ) > nat ).

tff(func_def_2945,type,
    sK1528: ( nat * nat * fun(nat,$o) ) > nat ).

tff(func_def_2946,type,
    sK1529: nat > nat ).

tff(func_def_2947,type,
    sK1530: fun(nat,$o) > nat ).

tff(func_def_2948,type,
    sK1531: ( nat * fun(nat,$o) ) > nat ).

tff(func_def_2949,type,
    sK1532: fun(nat,fun(nat,$o)) > nat ).

tff(func_def_2950,type,
    sK1533: fun(nat,fun(nat,$o)) > nat ).

tff(func_def_2951,type,
    sK1534: fun(nat,fun(nat,$o)) > nat ).

tff(func_def_2952,type,
    sK1535: fun(nat,fun(nat,$o)) > nat ).

tff(func_def_2953,type,
    sK1536: fun(nat,fun(nat,$o)) > nat ).

tff(func_def_2954,type,
    sK1537: ( nat * fun(nat,$o) ) > nat ).

tff(func_def_2955,type,
    sK1538: ( nat * fun(nat,$o) ) > nat ).

tff(func_def_2956,type,
    sK1539: fun(nat,fun(nat,$o)) > nat ).

tff(func_def_2957,type,
    sK1540: fun(nat,fun(nat,$o)) > nat ).

tff(func_def_2958,type,
    sK1541: fun(nat,fun(nat,$o)) > nat ).

tff(func_def_2959,type,
    sK1542: fun(nat,fun(nat,$o)) > nat ).

tff(func_def_2960,type,
    sK1543: ( nat * nat ) > nat ).

tff(func_def_2961,type,
    sK1544: ( nat * fun(nat,$o) ) > nat ).

tff(func_def_2962,type,
    sK1545: ( nat * fun(nat,$o) ) > nat ).

tff(func_def_2963,type,
    sK1546: ( nat * fun(nat,$o) ) > nat ).

tff(func_def_2964,type,
    sK1547: ( nat * fun(nat,$o) ) > nat ).

tff(func_def_2965,type,
    sK1548: ( nat * nat ) > nat ).

tff(func_def_2966,type,
    sK1549: ( nat * nat ) > nat ).

tff(func_def_2967,type,
    sK1550: ( nat * real ) > real ).

tff(func_def_2968,type,
    sK1551: ( nat * real ) > real ).

tff(func_def_2969,type,
    sK1552: 
      !>[X0: $tType,X1: $tType] : ( ( real * fun(X1,X0) * real ) > X1 ) ).

tff(func_def_2970,type,
    sK1553: ( fun(real,real) * real ) > real ).

tff(func_def_2971,type,
    sK1554: ( fun(real,real) * real ) > real ).

tff(func_def_2972,type,
    sK1555: ( fun(real,real) * real ) > real ).

tff(func_def_2973,type,
    sK1556: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( fun(X2,X0) * X0 * X2 * fun(X2,X1) * X1 ) > X2 ) ).

tff(func_def_2974,type,
    sK1557: 
      !>[X0: $tType] : ( ( fun(X0,real) * X0 * fun(X0,real) ) > X0 ) ).

tff(func_def_2975,type,
    sK1558: 
      !>[X0: $tType] : ( ( X0 * fun(X0,real) ) > X0 ) ).

tff(func_def_2976,type,
    sK1559: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * X0 * X1 * real ) > real ) ).

tff(func_def_2977,type,
    sK1560: 
      !>[X0: $tType,X1: $tType] : ( ( X1 * fun(X1,X0) * X0 ) > real ) ).

tff(func_def_2978,type,
    sK1561: 
      !>[X0: $tType,X1: $tType] : ( ( X1 * fun(X1,X0) * X0 * real ) > X1 ) ).

tff(func_def_2979,type,
    sK1562: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * X0 * X1 ) > real ) ).

tff(func_def_2980,type,
    sK1563: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * X0 * X1 * real ) > X1 ) ).

tff(func_def_2981,type,
    sK1564: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * X0 * X1 * real ) > real ) ).

tff(func_def_2982,type,
    sK1565: 
      !>[X0: $tType,X1: $tType] : ( ( real * X1 * fun(X1,X0) * fun(X1,X0) ) > X1 ) ).

tff(func_def_2983,type,
    sK1566: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,set(X1)) * set(X0) ) > X0 ) ).

tff(func_def_2984,type,
    sK1567: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,set(X1)) * set(X0) ) > X0 ) ).

tff(func_def_2985,type,
    sK1568: 
      !>[X0: $tType,X1: $tType] : ( ( X0 * fun(X1,X0) ) > X1 ) ).

tff(func_def_2986,type,
    sK1569: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) * list(X0) * list(X0) ) > list(X0) ) ).

tff(func_def_2987,type,
    sK1570: 
      !>[X0: $tType] : ( fun(list(X0),$o) > X0 ) ).

tff(func_def_2988,type,
    sK1571: 
      !>[X0: $tType] : ( fun(list(X0),$o) > list(X0) ) ).

tff(func_def_2989,type,
    sK1572: 
      !>[X0: $tType] : ( list(X0) > list(X0) ) ).

tff(func_def_2990,type,
    sK1573: 
      !>[X0: $tType] : ( list(X0) > X0 ) ).

tff(func_def_2991,type,
    sK1574: 
      !>[X0: $tType] : ( ( X0 * list(X0) * list(X0) * list(X0) ) > list(X0) ) ).

tff(func_def_2992,type,
    sK1575: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) * X0 * list(X0) ) > list(X0) ) ).

tff(func_def_2993,type,
    sK1576: 
      !>[X0: $tType] : ( fun(list(X0),$o) > X0 ) ).

tff(func_def_2994,type,
    sK1577: 
      !>[X0: $tType] : ( fun(list(X0),$o) > list(X0) ) ).

tff(func_def_2995,type,
    sK1578: 
      !>[X0: $tType] : ( fun(list(X0),$o) > X0 ) ).

tff(func_def_2996,type,
    sK1579: 
      !>[X0: $tType] : ( ( X0 * list(X0) ) > list(X0) ) ).

tff(func_def_2997,type,
    sK1580: 
      !>[X0: $tType] : ( ( X0 * list(X0) ) > list(X0) ) ).

tff(func_def_2998,type,
    sK1581: 
      !>[X0: $tType] : ( ( X0 * list(X0) ) > list(X0) ) ).

tff(func_def_2999,type,
    sK1582: 
      !>[X0: $tType] : ( ( X0 * list(X0) ) > list(X0) ) ).

tff(func_def_3000,type,
    sK1583: 
      !>[X0: $tType] : ( ( list(X0) * fun(X0,$o) ) > list(X0) ) ).

tff(func_def_3001,type,
    sK1584: 
      !>[X0: $tType] : ( ( list(X0) * fun(X0,$o) ) > X0 ) ).

tff(func_def_3002,type,
    sK1585: 
      !>[X0: $tType] : ( ( list(X0) * fun(X0,$o) ) > list(X0) ) ).

tff(func_def_3003,type,
    sK1586: 
      !>[X0: $tType] : ( ( X0 * list(X0) ) > list(X0) ) ).

tff(func_def_3004,type,
    sK1587: 
      !>[X0: $tType] : ( ( X0 * list(X0) ) > list(X0) ) ).

tff(func_def_3005,type,
    sK1588: 
      !>[X0: $tType] : ( ( list(X0) * fun(X0,$o) ) > list(X0) ) ).

tff(func_def_3006,type,
    sK1589: 
      !>[X0: $tType] : ( ( list(X0) * fun(X0,$o) ) > X0 ) ).

tff(func_def_3007,type,
    sK1590: 
      !>[X0: $tType] : ( ( list(X0) * fun(X0,$o) ) > list(X0) ) ).

tff(func_def_3008,type,
    sK1591: 
      !>[X0: $tType] : ( ( X0 * list(X0) ) > list(X0) ) ).

tff(func_def_3009,type,
    sK1592: 
      !>[X0: $tType] : ( ( X0 * list(X0) ) > list(X0) ) ).

tff(func_def_3010,type,
    sK1593: 
      !>[X0: $tType] : ( ( list(X0) * fun(X0,$o) ) > list(X0) ) ).

tff(func_def_3011,type,
    sK1594: 
      !>[X0: $tType] : ( ( list(X0) * fun(X0,$o) ) > X0 ) ).

tff(func_def_3012,type,
    sK1595: 
      !>[X0: $tType] : ( ( list(X0) * fun(X0,$o) ) > list(X0) ) ).

tff(func_def_3013,type,
    sK1596: 
      !>[X0: $tType] : ( ( list(X0) * fun(X0,$o) ) > list(X0) ) ).

tff(func_def_3014,type,
    sK1597: 
      !>[X0: $tType] : ( ( list(X0) * fun(X0,$o) ) > X0 ) ).

tff(func_def_3015,type,
    sK1598: 
      !>[X0: $tType] : ( ( list(X0) * fun(X0,$o) ) > list(X0) ) ).

tff(func_def_3016,type,
    sK1599: 
      !>[X0: $tType] : ( ( list(X0) * fun(X0,$o) ) > list(X0) ) ).

tff(func_def_3017,type,
    sK1600: 
      !>[X0: $tType] : ( ( list(X0) * fun(X0,$o) ) > X0 ) ).

tff(func_def_3018,type,
    sK1601: 
      !>[X0: $tType] : ( ( list(X0) * fun(X0,$o) ) > list(X0) ) ).

tff(func_def_3019,type,
    sK1602: 
      !>[X0: $tType] : ( ( list(X0) * fun(X0,$o) ) > list(X0) ) ).

tff(func_def_3020,type,
    sK1603: 
      !>[X0: $tType] : ( ( list(X0) * fun(X0,$o) ) > X0 ) ).

tff(func_def_3021,type,
    sK1604: 
      !>[X0: $tType] : ( ( list(X0) * fun(X0,$o) ) > list(X0) ) ).

tff(func_def_3022,type,
    sK1605: 
      !>[X0: $tType] : ( ( X0 * list(X0) ) > list(X0) ) ).

tff(func_def_3023,type,
    sK1606: 
      !>[X0: $tType] : ( ( X0 * list(X0) ) > list(X0) ) ).

tff(func_def_3024,type,
    sK1607: 
      !>[X0: $tType] : ( ( X0 * list(X0) ) > list(X0) ) ).

tff(func_def_3025,type,
    sK1608: 
      !>[X0: $tType] : ( ( X0 * list(X0) ) > list(X0) ) ).

tff(func_def_3026,type,
    sK1609: 
      !>[X0: $tType] : ( ( list(X0) * fun(X0,$o) ) > X0 ) ).

tff(func_def_3027,type,
    sK1610: 
      !>[X0: $tType] : ( ( fun(X0,$o) * list(X0) ) > X0 ) ).

tff(func_def_3028,type,
    sK1611: 
      !>[X0: $tType] : ( ( list(X0) * fun(X0,$o) ) > list(X0) ) ).

tff(func_def_3029,type,
    sK1612: 
      !>[X0: $tType] : ( ( list(X0) * fun(X0,$o) ) > X0 ) ).

tff(func_def_3030,type,
    sK1613: 
      !>[X0: $tType] : ( ( list(X0) * fun(X0,$o) ) > list(X0) ) ).

tff(func_def_3031,type,
    sK1614: 
      !>[X0: $tType] : ( ( list(X0) * fun(X0,$o) ) > X0 ) ).

tff(func_def_3032,type,
    sK1615: 
      !>[X0: $tType] : ( ( fun(X0,$o) * list(X0) ) > X0 ) ).

tff(func_def_3033,type,
    sK1616: 
      !>[X0: $tType] : ( ( list(X0) * fun(X0,$o) ) > list(X0) ) ).

tff(func_def_3034,type,
    sK1617: 
      !>[X0: $tType] : ( ( list(X0) * fun(X0,$o) ) > X0 ) ).

tff(func_def_3035,type,
    sK1618: 
      !>[X0: $tType] : ( ( list(X0) * fun(X0,$o) ) > list(X0) ) ).

tff(func_def_3036,type,
    sK1619: 
      !>[X0: $tType] : ( product_prod(list(X0),list(X0)) > X0 ) ).

tff(func_def_3037,type,
    sK1620: 
      !>[X0: $tType] : ( product_prod(list(X0),list(X0)) > list(X0) ) ).

tff(func_def_3038,type,
    sK1621: 
      !>[X0: $tType] : ( product_prod(list(X0),list(X0)) > list(X0) ) ).

tff(func_def_3039,type,
    sK1622: 
      !>[X0: $tType] : ( product_prod(list(X0),list(X0)) > list(X0) ) ).

tff(func_def_3040,type,
    sK1623: 
      !>[X0: $tType] : ( product_prod(list(X0),list(X0)) > X0 ) ).

tff(func_def_3041,type,
    sK1624: 
      !>[X0: $tType] : ( product_prod(list(X0),list(X0)) > list(X0) ) ).

tff(func_def_3042,type,
    sK1625: 
      !>[X0: $tType] : ( product_prod(list(X0),list(X0)) > X0 ) ).

tff(func_def_3043,type,
    sK1626: 
      !>[X0: $tType] : ( product_prod(list(X0),list(X0)) > list(X0) ) ).

tff(func_def_3044,type,
    sK1627: 
      !>[X0: $tType] : ( product_prod(list(X0),list(X0)) > list(X0) ) ).

tff(func_def_3045,type,
    sK1628: 
      !>[X0: $tType] : ( product_prod(list(X0),list(X0)) > list(X0) ) ).

tff(func_def_3046,type,
    sK1629: 
      !>[X0: $tType] : ( product_prod(fun(X0,fun(X0,$o)),list(X0)) > fun(X0,fun(X0,$o)) ) ).

tff(func_def_3047,type,
    sK1630: 
      !>[X0: $tType] : ( product_prod(fun(X0,fun(X0,$o)),list(X0)) > X0 ) ).

tff(func_def_3048,type,
    sK1631: 
      !>[X0: $tType] : ( product_prod(fun(X0,fun(X0,$o)),list(X0)) > list(X0) ) ).

tff(func_def_3049,type,
    sK1632: 
      !>[X0: $tType] : ( product_prod(fun(X0,fun(X0,$o)),list(X0)) > fun(X0,fun(X0,$o)) ) ).

tff(func_def_3050,type,
    sK1633: 
      !>[X0: $tType,X1: $tType] : ( product_prod(fun(X1,X0),list(X1)) > fun(X1,X0) ) ).

tff(func_def_3051,type,
    sK1634: 
      !>[X0: $tType,X1: $tType] : ( product_prod(fun(X1,X0),list(X1)) > fun(X1,X0) ) ).

tff(func_def_3052,type,
    sK1635: 
      !>[X0: $tType,X1: $tType] : ( product_prod(fun(X1,X0),list(X1)) > X1 ) ).

tff(func_def_3053,type,
    sK1636: 
      !>[X0: $tType,X1: $tType] : ( product_prod(fun(X1,X0),list(X1)) > X1 ) ).

tff(func_def_3054,type,
    sK1637: 
      !>[X0: $tType,X1: $tType] : ( product_prod(fun(X1,X0),list(X1)) > list(X1) ) ).

tff(func_def_3055,type,
    sK1638: 
      !>[X0: $tType,X1: $tType] : ( product_prod(fun(X1,X0),list(X1)) > fun(X1,X0) ) ).

tff(func_def_3056,type,
    sK1639: 
      !>[X0: $tType,X1: $tType] : ( product_prod(fun(X1,X0),list(X1)) > X1 ) ).

tff(func_def_3057,type,
    sK1640: 
      !>[X0: $tType] : ( product_prod(fun(X0,fun(X0,$o)),list(X0)) > fun(X0,fun(X0,$o)) ) ).

tff(func_def_3058,type,
    sK1641: 
      !>[X0: $tType] : ( product_prod(fun(X0,fun(X0,$o)),list(X0)) > X0 ) ).

tff(func_def_3059,type,
    sK1642: 
      !>[X0: $tType] : ( product_prod(fun(X0,fun(X0,$o)),list(X0)) > X0 ) ).

tff(func_def_3060,type,
    sK1643: 
      !>[X0: $tType] : ( product_prod(fun(X0,fun(X0,$o)),list(X0)) > list(X0) ) ).

tff(func_def_3061,type,
    sK1644: 
      !>[X0: $tType] : ( product_prod(fun(X0,fun(X0,$o)),list(X0)) > fun(X0,fun(X0,$o)) ) ).

tff(func_def_3062,type,
    sK1645: 
      !>[X0: $tType] : ( product_prod(fun(X0,fun(X0,$o)),list(X0)) > X0 ) ).

tff(func_def_3063,type,
    sK1646: 
      !>[X0: $tType] : ( product_prod(fun(X0,fun(X0,$o)),list(X0)) > fun(X0,fun(X0,$o)) ) ).

tff(func_def_3064,type,
    sK1647: 
      !>[X0: $tType,X1: $tType] : ( product_prod(fun(X0,X1),product_prod(list(X0),list(X1))) > fun(X0,X1) ) ).

tff(func_def_3065,type,
    sK1648: 
      !>[X0: $tType,X1: $tType] : ( product_prod(fun(X0,X1),product_prod(list(X0),list(X1))) > X0 ) ).

tff(func_def_3066,type,
    sK1649: 
      !>[X0: $tType,X1: $tType] : ( product_prod(fun(X0,X1),product_prod(list(X0),list(X1))) > list(X0) ) ).

tff(func_def_3067,type,
    sK1650: 
      !>[X0: $tType,X1: $tType] : ( product_prod(fun(X0,X1),product_prod(list(X0),list(X1))) > list(X1) ) ).

tff(func_def_3068,type,
    sK1651: 
      !>[X0: $tType,X1: $tType] : ( product_prod(fun(X0,X1),product_prod(list(X0),list(X1))) > fun(X0,X1) ) ).

tff(func_def_3069,type,
    sK1652: 
      !>[X0: $tType,X1: $tType] : ( product_prod(fun(X0,X1),product_prod(list(X0),list(X1))) > list(X1) ) ).

tff(func_def_3070,type,
    sK1653: 
      !>[X0: $tType] : ( list(X0) > X0 ) ).

tff(func_def_3071,type,
    sK1654: 
      !>[X0: $tType] : ( list(X0) > list(X0) ) ).

tff(func_def_3072,type,
    sK1655: 
      !>[X0: $tType] : ( list(list(X0)) > X0 ) ).

tff(func_def_3073,type,
    sK1656: 
      !>[X0: $tType] : ( list(list(X0)) > list(X0) ) ).

tff(func_def_3074,type,
    sK1657: 
      !>[X0: $tType] : ( list(list(X0)) > list(list(X0)) ) ).

tff(func_def_3075,type,
    sK1658: 
      !>[X0: $tType] : ( list(list(X0)) > list(list(X0)) ) ).

tff(func_def_3076,type,
    sK1659: 
      !>[X0: $tType] : ( list(X0) > X0 ) ).

tff(func_def_3077,type,
    sK1660: 
      !>[X0: $tType] : ( list(X0) > X0 ) ).

tff(func_def_3078,type,
    sK1661: 
      !>[X0: $tType] : ( list(X0) > list(X0) ) ).

tff(func_def_3079,type,
    sK1662: 
      !>[X0: $tType] : ( list(X0) > X0 ) ).

tff(func_def_3080,type,
    sK1663: 
      !>[X0: $tType] : ( list(X0) > X0 ) ).

tff(func_def_3081,type,
    sK1664: 
      !>[X0: $tType] : ( list(X0) > list(X0) ) ).

tff(func_def_3082,type,
    sK1665: 
      !>[X0: $tType,X1: $tType] : ( fun(list(X0),fun(list(X1),$o)) > X0 ) ).

tff(func_def_3083,type,
    sK1666: 
      !>[X0: $tType,X1: $tType] : ( fun(list(X0),fun(list(X1),$o)) > list(X0) ) ).

tff(func_def_3084,type,
    sK1667: 
      !>[X0: $tType,X1: $tType] : ( fun(list(X0),fun(list(X1),$o)) > X1 ) ).

tff(func_def_3085,type,
    sK1668: 
      !>[X0: $tType,X1: $tType] : ( fun(list(X0),fun(list(X1),$o)) > list(X1) ) ).

tff(func_def_3086,type,
    sK1669: 
      !>[X0: $tType,X1: $tType] : ( fun(list(X0),fun(list(X1),$o)) > X1 ) ).

tff(func_def_3087,type,
    sK1670: 
      !>[X0: $tType,X1: $tType] : ( fun(list(X0),fun(list(X1),$o)) > list(X1) ) ).

tff(func_def_3088,type,
    sK1671: 
      !>[X0: $tType,X1: $tType] : ( fun(list(X0),fun(list(X1),$o)) > X0 ) ).

tff(func_def_3089,type,
    sK1672: 
      !>[X0: $tType,X1: $tType] : ( fun(list(X0),fun(list(X1),$o)) > list(X0) ) ).

tff(func_def_3090,type,
    sK1673: 
      !>[X0: $tType] : ( fun(list(X0),$o) > X0 ) ).

tff(func_def_3091,type,
    sK1674: 
      !>[X0: $tType] : ( fun(list(X0),$o) > list(X0) ) ).

tff(func_def_3092,type,
    sK1675: 
      !>[X0: $tType] : ( fun(list(X0),$o) > X0 ) ).

tff(func_def_3093,type,
    sK1676: 
      !>[X0: $tType] : ( ( X0 * list(X0) ) > X0 ) ).

tff(func_def_3094,type,
    sK1677: 
      !>[X0: $tType] : ( ( X0 * list(X0) ) > list(X0) ) ).

tff(func_def_3095,type,
    sK1678: 
      !>[X0: $tType] : ( ( X0 * list(X0) ) > list(X0) ) ).

tff(func_def_3096,type,
    sK1679: 
      !>[X0: $tType] : ( set(X0) > list(X0) ) ).

tff(func_def_3097,type,
    sK1680: 
      !>[X0: $tType] : ( ( list(X0) * set(X0) ) > X0 ) ).

tff(func_def_3098,type,
    sK1681: num > num ).

tff(func_def_3099,type,
    sK1682: num > num ).

tff(func_def_3100,type,
    sK1683: product_prod(num,num) > num ).

tff(func_def_3101,type,
    sK1684: product_prod(num,num) > num ).

tff(func_def_3102,type,
    sK1685: product_prod(num,num) > num ).

tff(func_def_3103,type,
    sK1686: product_prod(num,num) > num ).

tff(func_def_3104,type,
    sK1687: product_prod(num,num) > num ).

tff(func_def_3105,type,
    sK1688: product_prod(num,num) > num ).

tff(func_def_3106,type,
    sK1689: product_prod(num,num) > num ).

tff(func_def_3107,type,
    sK1690: product_prod(num,num) > num ).

tff(func_def_3108,type,
    sK1691: product_prod(num,num) > num ).

tff(func_def_3109,type,
    sK1692: product_prod(num,num) > num ).

tff(func_def_3110,type,
    sK1693: product_prod(num,num) > num ).

tff(func_def_3111,type,
    sK1694: product_prod(num,num) > num ).

tff(func_def_3112,type,
    sK1695: 
      !>[X0: $tType] : ( product_prod(fun(X0,fun(X0,$o)),product_prod(option(X0),option(X0))) > fun(X0,fun(X0,$o)) ) ).

tff(func_def_3113,type,
    sK1696: 
      !>[X0: $tType] : ( product_prod(fun(X0,fun(X0,$o)),product_prod(option(X0),option(X0))) > X0 ) ).

tff(func_def_3114,type,
    sK1697: 
      !>[X0: $tType] : ( product_prod(fun(X0,fun(X0,$o)),product_prod(option(X0),option(X0))) > X0 ) ).

tff(func_def_3115,type,
    sK1698: 
      !>[X0: $tType] : ( product_prod(fun(X0,fun(X0,$o)),product_prod(option(X0),option(X0))) > fun(X0,fun(X0,$o)) ) ).

tff(func_def_3116,type,
    sK1699: 
      !>[X0: $tType] : ( product_prod(fun(X0,fun(X0,$o)),product_prod(option(X0),option(X0))) > X0 ) ).

tff(func_def_3117,type,
    sK1700: 
      !>[X0: $tType] : ( product_prod(fun(X0,fun(X0,$o)),product_prod(option(X0),option(X0))) > fun(X0,fun(X0,$o)) ) ).

tff(func_def_3118,type,
    sK1701: 
      !>[X0: $tType] : ( product_prod(fun(X0,fun(X0,$o)),product_prod(option(X0),option(X0))) > option(X0) ) ).

tff(func_def_3119,type,
    sK1702: 
      !>[X0: $tType] : ( product_prod(fun(X0,fun(X0,X0)),product_prod(option(X0),option(X0))) > fun(X0,fun(X0,X0)) ) ).

tff(func_def_3120,type,
    sK1703: 
      !>[X0: $tType] : ( product_prod(fun(X0,fun(X0,X0)),product_prod(option(X0),option(X0))) > X0 ) ).

tff(func_def_3121,type,
    sK1704: 
      !>[X0: $tType] : ( product_prod(fun(X0,fun(X0,X0)),product_prod(option(X0),option(X0))) > X0 ) ).

tff(func_def_3122,type,
    sK1705: 
      !>[X0: $tType] : ( product_prod(fun(X0,fun(X0,X0)),product_prod(option(X0),option(X0))) > fun(X0,fun(X0,X0)) ) ).

tff(func_def_3123,type,
    sK1706: 
      !>[X0: $tType] : ( product_prod(fun(X0,fun(X0,X0)),product_prod(option(X0),option(X0))) > X0 ) ).

tff(func_def_3124,type,
    sK1707: 
      !>[X0: $tType] : ( product_prod(fun(X0,fun(X0,X0)),product_prod(option(X0),option(X0))) > fun(X0,fun(X0,X0)) ) ).

tff(func_def_3125,type,
    sK1708: 
      !>[X0: $tType] : ( product_prod(fun(X0,fun(X0,X0)),product_prod(option(X0),option(X0))) > option(X0) ) ).

tff(func_def_3126,type,
    sK1709: 
      !>[X0: $tType,X1: $tType] : ( ( option(X0) * option(X1) * fun(option(X1),fun(option(X0),$o)) ) > X1 ) ).

tff(func_def_3127,type,
    sK1710: 
      !>[X0: $tType,X1: $tType] : ( ( option(X0) * option(X1) * fun(option(X1),fun(option(X0),$o)) ) > X0 ) ).

tff(func_def_3128,type,
    sK1711: 
      !>[X0: $tType] : ( fun(option(X0),$o) > X0 ) ).

tff(func_def_3129,type,
    sK1712: 
      !>[X0: $tType] : ( fun(option(X0),$o) > option(X0) ) ).

tff(func_def_3130,type,
    sK1713: 
      !>[X0: $tType] : ( fun(option(X0),$o) > option(X0) ) ).

tff(func_def_3131,type,
    sK1714: 
      !>[X0: $tType] : ( fun(option(X0),$o) > X0 ) ).

tff(func_def_3132,type,
    sK1715: 
      !>[X0: $tType] : ( option(X0) > X0 ) ).

tff(func_def_3133,type,
    sK1716: 
      !>[X0: $tType] : ( option(X0) > X0 ) ).

tff(func_def_3134,type,
    sK1717: 
      !>[X0: $tType] : ( option(X0) > X0 ) ).

tff(func_def_3135,type,
    sK1718: 
      !>[X0: $tType,X1: $tType] : ( ( set(product_prod(X1,X0)) * set(product_prod(X1,X0)) ) > X1 ) ).

tff(func_def_3136,type,
    sK1719: 
      !>[X0: $tType,X1: $tType] : ( ( set(product_prod(X1,X0)) * set(product_prod(X1,X0)) ) > X0 ) ).

tff(func_def_3137,type,
    sK1720: 
      !>[X0: $tType,X1: $tType] : ( ( set(product_prod(X1,X0)) * set(product_prod(X1,X0)) ) > X1 ) ).

tff(func_def_3138,type,
    sK1721: 
      !>[X0: $tType,X1: $tType] : ( ( set(product_prod(X1,X0)) * set(product_prod(X1,X0)) ) > X0 ) ).

tff(func_def_3139,type,
    sK1722: product_prod(nat,nat) > nat ).

tff(func_def_3140,type,
    sK1723: product_prod(nat,nat) > nat ).

tff(func_def_3141,type,
    sK1724: 
      !>[X0: $tType,X1: $tType,X2: $tType,X3: $tType] : ( fun(product_prod(X3,product_prod(X2,product_prod(X1,X0))),$o) > X3 ) ).

tff(func_def_3142,type,
    sK1725: 
      !>[X0: $tType,X1: $tType,X2: $tType,X3: $tType] : ( fun(product_prod(X3,product_prod(X2,product_prod(X1,X0))),$o) > X2 ) ).

tff(func_def_3143,type,
    sK1726: 
      !>[X0: $tType,X1: $tType,X2: $tType,X3: $tType] : ( fun(product_prod(X3,product_prod(X2,product_prod(X1,X0))),$o) > X1 ) ).

tff(func_def_3144,type,
    sK1727: 
      !>[X0: $tType,X1: $tType,X2: $tType,X3: $tType] : ( fun(product_prod(X3,product_prod(X2,product_prod(X1,X0))),$o) > X0 ) ).

tff(func_def_3145,type,
    sK1728: 
      !>[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_3146,type,
    sK1729: 
      !>[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_3147,type,
    sK1730: 
      !>[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_3148,type,
    sK1731: 
      !>[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_3149,type,
    sK1732: 
      !>[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_3150,type,
    sK1733: 
      !>[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_3151,type,
    sK1734: 
      !>[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_3152,type,
    sK1735: 
      !>[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_3153,type,
    sK1736: 
      !>[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_3154,type,
    sK1737: 
      !>[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_3155,type,
    sK1738: 
      !>[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_3156,type,
    sK1739: 
      !>[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_3157,type,
    sK1740: 
      !>[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_3158,type,
    sK1741: 
      !>[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_3159,type,
    sK1742: 
      !>[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_3160,type,
    sK1743: 
      !>[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_3161,type,
    sK1744: 
      !>[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_3162,type,
    sK1745: 
      !>[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_3163,type,
    sK1746: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( product_prod(X0,product_prod(X1,X2)) > X0 ) ).

tff(func_def_3164,type,
    sK1747: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( product_prod(X0,product_prod(X1,X2)) > X1 ) ).

tff(func_def_3165,type,
    sK1748: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( product_prod(X0,product_prod(X1,X2)) > X2 ) ).

tff(func_def_3166,type,
    sK1749: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( fun(product_prod(X2,product_prod(X1,X0)),$o) > X2 ) ).

tff(func_def_3167,type,
    sK1750: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( fun(product_prod(X2,product_prod(X1,X0)),$o) > X1 ) ).

tff(func_def_3168,type,
    sK1751: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( fun(product_prod(X2,product_prod(X1,X0)),$o) > X0 ) ).

tff(func_def_3169,type,
    sK1752: 
      !>[X0: $tType,X1: $tType] : ( product_prod(X0,X1) > X0 ) ).

tff(func_def_3170,type,
    sK1753: 
      !>[X0: $tType,X1: $tType] : ( product_prod(X0,X1) > X1 ) ).

tff(func_def_3171,type,
    sK1754: 
      !>[X0: $tType,X1: $tType] : ( product_prod(X0,X1) > X0 ) ).

tff(func_def_3172,type,
    sK1755: 
      !>[X0: $tType,X1: $tType] : ( product_prod(X0,X1) > X1 ) ).

tff(func_def_3173,type,
    sK1756: 
      !>[X0: $tType,X1: $tType] : ( fun(product_prod(X1,X0),$o) > X1 ) ).

tff(func_def_3174,type,
    sK1757: 
      !>[X0: $tType,X1: $tType] : ( fun(product_prod(X1,X0),$o) > X0 ) ).

tff(func_def_3175,type,
    sK1758: 
      !>[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_3176,type,
    sK1759: 
      !>[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_3177,type,
    sK1760: 
      !>[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_3178,type,
    sK1761: 
      !>[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_3179,type,
    sK1762: 
      !>[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_3180,type,
    sK1763: 
      !>[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_3181,type,
    sK1764: 
      !>[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_3182,type,
    sK1765: 
      !>[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_3183,type,
    sK1766: 
      !>[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_3184,type,
    sK1767: 
      !>[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_3185,type,
    sK1768: 
      !>[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_3186,type,
    sK1769: 
      !>[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_3187,type,
    sK1770: 
      !>[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_3188,type,
    sK1771: 
      !>[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_3189,type,
    sK1772: 
      !>[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_3190,type,
    sK1773: 
      !>[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_3191,type,
    sK1774: 
      !>[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_3192,type,
    sK1775: 
      !>[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_3193,type,
    sK1776: 
      !>[X0: $tType,X1: $tType,X2: $tType,X3: $tType] : ( product_prod(X0,product_prod(X1,product_prod(X2,X3))) > X0 ) ).

tff(func_def_3194,type,
    sK1777: 
      !>[X0: $tType,X1: $tType,X2: $tType,X3: $tType] : ( product_prod(X0,product_prod(X1,product_prod(X2,X3))) > X1 ) ).

tff(func_def_3195,type,
    sK1778: 
      !>[X0: $tType,X1: $tType,X2: $tType,X3: $tType] : ( product_prod(X0,product_prod(X1,product_prod(X2,X3))) > X2 ) ).

tff(func_def_3196,type,
    sK1779: 
      !>[X0: $tType,X1: $tType,X2: $tType,X3: $tType] : ( product_prod(X0,product_prod(X1,product_prod(X2,X3))) > X3 ) ).

tff(func_def_3197,type,
    sK1780: 
      !>[X0: $tType] : ( product_prod(fun(nat,fun(X0,X0)),product_prod(nat,product_prod(nat,X0))) > fun(nat,fun(X0,X0)) ) ).

tff(func_def_3198,type,
    sK1781: 
      !>[X0: $tType] : ( product_prod(fun(nat,fun(X0,X0)),product_prod(nat,product_prod(nat,X0))) > nat ) ).

tff(func_def_3199,type,
    sK1782: 
      !>[X0: $tType] : ( product_prod(fun(nat,fun(X0,X0)),product_prod(nat,product_prod(nat,X0))) > nat ) ).

tff(func_def_3200,type,
    sK1783: 
      !>[X0: $tType] : ( product_prod(fun(nat,fun(X0,X0)),product_prod(nat,product_prod(nat,X0))) > X0 ) ).

tff(func_def_3201,type,
    sK1784: list(vEBT_VEBT) > vEBT_VEBT ).

tff(func_def_3202,type,
    sK1785: list(vEBT_VEBT) > nat ).

tff(func_def_3203,type,
    sK1786: vEBT_VEBT > nat ).

tff(func_def_3204,type,
    sK1787: ( list(vEBT_VEBT) * nat ) > vEBT_VEBT ).

tff(func_def_3205,type,
    sK1788: list(vEBT_VEBT) > vEBT_VEBT ).

tff(func_def_3206,type,
    sK1789: list(vEBT_VEBT) > nat ).

tff(func_def_3207,type,
    sK1790: vEBT_VEBT > nat ).

tff(func_def_3208,type,
    sK1791: ( list(vEBT_VEBT) * nat ) > vEBT_VEBT ).

tff(func_def_3209,type,
    sK1792: ( list(vEBT_VEBT) * nat ) > vEBT_VEBT ).

tff(func_def_3210,type,
    sK1793: ( vEBT_VEBT * nat ) > option(product_prod(nat,nat)) ).

tff(func_def_3211,type,
    sK1794: ( vEBT_VEBT * nat ) > list(vEBT_VEBT) ).

tff(func_def_3212,type,
    sK1795: ( vEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_3213,type,
    sK1796: vEBT_VEBT > nat ).

tff(func_def_3214,type,
    sK1797: fun(nat,fun(nat,$o)) > nat ).

tff(func_def_3215,type,
    sK1798: fun(nat,fun(nat,$o)) > nat ).

tff(func_def_3216,type,
    sK1799: fun(nat,fun(nat,$o)) > nat ).

tff(func_def_3217,type,
    sK1800: ( int * int ) > int ).

tff(func_def_3218,type,
    sK1801: ( int * int ) > int ).

tff(func_def_3219,type,
    sK1802: ( int * fun(int,fun(int,$o)) * int ) > int ).

tff(func_def_3220,type,
    sK1803: ( int * fun(int,fun(int,$o)) * int ) > int ).

tff(func_def_3221,type,
    sK1804: ( int * fun(int,fun(int,$o)) * int ) > int ).

tff(func_def_3222,type,
    sK1805: ( int * fun(int,fun(int,$o)) * int ) > int ).

tff(func_def_3223,type,
    sK1806: ( fun(int,$o) * int * int ) > int ).

tff(func_def_3224,type,
    sK1807: ( fun(int,$o) * int * int ) > int ).

tff(func_def_3225,type,
    sK1808: ( fun(int,$o) * int * int ) > int ).

tff(func_def_3226,type,
    sK1809: ( fun(int,$o) * int * int ) > int ).

tff(func_def_3227,type,
    sK1810: ( nat * nat * nat ) > nat ).

tff(func_def_3228,type,
    sK1811: ( nat * nat * nat ) > nat ).

tff(func_def_3229,type,
    sK1812: ( nat * nat * nat ) > nat ).

tff(func_def_3230,type,
    sK1813: ( nat * nat * nat ) > nat ).

tff(func_def_3231,type,
    sK1814: ( nat * nat * nat ) > nat ).

tff(func_def_3232,type,
    sK1815: ( nat * fun(nat,$o) * nat ) > nat ).

tff(func_def_3233,type,
    sK1816: ( nat * fun(nat,$o) * nat ) > nat ).

tff(func_def_3234,type,
    sK1817: ( nat * nat ) > nat ).

tff(func_def_3235,type,
    sK1818: ( fun(nat,$o) * nat ) > nat ).

tff(func_def_3236,type,
    sK1819: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_3237,type,
    sK1820: vEBT_VEBT > nat ).

tff(func_def_3238,type,
    sK1821: vEBT_VEBT > list(vEBT_VEBT) ).

tff(func_def_3239,type,
    sK1822: vEBT_VEBT > vEBT_VEBT ).

tff(func_def_3240,type,
    sK1823: nat > nat ).

tff(func_def_3241,type,
    sK1824: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( product_prod(X2,X1) * fun(X2,fun(X1,X0)) * fun(X2,fun(X1,X0)) ) > X2 ) ).

tff(func_def_3242,type,
    sK1825: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( product_prod(X2,X1) * fun(X2,fun(X1,X0)) * fun(X2,fun(X1,X0)) ) > X1 ) ).

tff(func_def_3243,type,
    sK1826: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( fun(X1,fun(X0,fun(X2,$o))) * product_prod(X1,X0) * X2 ) > X1 ) ).

tff(func_def_3244,type,
    sK1827: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( fun(X1,fun(X0,fun(X2,$o))) * product_prod(X1,X0) * X2 ) > X0 ) ).

tff(func_def_3245,type,
    sK1828: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,fun(X1,$o)) * product_prod(X0,X1) ) > X0 ) ).

tff(func_def_3246,type,
    sK1829: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,fun(X1,$o)) * product_prod(X0,X1) ) > X1 ) ).

tff(func_def_3247,type,
    sK1830: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( X1 * fun(X0,fun(X2,set(X1))) * product_prod(X0,X2) ) > X0 ) ).

tff(func_def_3248,type,
    sK1831: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( X1 * fun(X0,fun(X2,set(X1))) * product_prod(X0,X2) ) > X2 ) ).

tff(func_def_3249,type,
    sK1832: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( product_prod(X0,X1) * fun(X0,fun(X1,fun(X2,$o))) * X2 ) > X0 ) ).

tff(func_def_3250,type,
    sK1833: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( product_prod(X0,X1) * fun(X0,fun(X1,fun(X2,$o))) * X2 ) > X1 ) ).

tff(func_def_3251,type,
    sK1834: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( product_prod(X2,X1) * X0 * fun(X2,fun(X1,set(X0))) ) > X2 ) ).

tff(func_def_3252,type,
    sK1835: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( product_prod(X2,X1) * X0 * fun(X2,fun(X1,set(X0))) ) > X1 ) ).

tff(func_def_3253,type,
    sK1836: 
      !>[X0: $tType,X1: $tType] : ( ( product_prod(X1,X0) * fun(X1,fun(X0,$o)) ) > X1 ) ).

tff(func_def_3254,type,
    sK1837: 
      !>[X0: $tType,X1: $tType] : ( ( product_prod(X1,X0) * fun(X1,fun(X0,$o)) ) > X0 ) ).

tff(func_def_3255,type,
    sK1838: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( fun(X1,$o) * fun(X0,fun(X2,X1)) * product_prod(X0,X2) ) > X0 ) ).

tff(func_def_3256,type,
    sK1839: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( fun(X1,$o) * fun(X0,fun(X2,X1)) * product_prod(X0,X2) ) > X2 ) ).

tff(func_def_3257,type,
    sK1840: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( fun(X2,fun(X1,X0)) * fun(product_prod(X2,X1),X0) ) > X2 ) ).

tff(func_def_3258,type,
    sK1841: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( fun(X2,fun(X1,X0)) * fun(product_prod(X2,X1),X0) ) > X1 ) ).

tff(func_def_3259,type,
    sK1842: ( fun(nat,real) * real ) > real ).

tff(func_def_3260,type,
    sK1843: ( fun(nat,real) * real ) > nat ).

tff(func_def_3261,type,
    sK1844: fun(nat,real) > nat ).

tff(func_def_3262,type,
    sK1845: ( real * fun(real,real) ) > real ).

tff(func_def_3263,type,
    sK1846: ( fun(nat,$o) * nat ) > nat ).

tff(func_def_3264,type,
    sK1847: fun(nat,$o) > nat ).

tff(func_def_3265,type,
    sK1848: ( nat * fun(nat,$o) ) > nat ).

tff(func_def_3266,type,
    sK1849: 
      !>[X0: $tType] : ( ( fun(X0,$o) * X0 ) > X0 ) ).

tff(func_def_3267,type,
    sK1850: 
      !>[X0: $tType] : ( fun(X0,$o) > X0 ) ).

tff(func_def_3268,type,
    sK1851: 
      !>[X0: $tType] : ( ( X0 * fun(X0,$o) ) > X0 ) ).

tff(func_def_3269,type,
    sK1852: filter(nat) > nat ).

tff(func_def_3270,type,
    sK1853: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * fun(X1,$o) ) > X1 ) ).

tff(func_def_3271,type,
    sK1854: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * fun(X1,$o) ) > X1 ) ).

tff(func_def_3272,type,
    sK1855: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,$o) * fun(X0,$o) * fun(X0,X1) ) > X0 ) ).

tff(func_def_3273,type,
    sK1856: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * fun(X0,$o) * fun(X0,X1) ) > X0 ) ).

tff(func_def_3274,type,
    sK1857: 
      !>[X0: $tType] : ( fun(nat,X0) > nat ) ).

tff(func_def_3275,type,
    sK1858: 
      !>[X0: $tType] : ( ( fun(nat,X0) * X0 * real ) > nat ) ).

tff(func_def_3276,type,
    sK1859: 
      !>[X0: $tType] : ( ( fun(nat,X0) * X0 ) > real ) ).

tff(func_def_3277,type,
    sK1860: 
      !>[X0: $tType] : ( ( fun(nat,X0) * X0 * nat ) > nat ) ).

tff(func_def_3278,type,
    sK1861: 
      !>[X0: $tType] : ( ( fun(nat,X0) * X0 ) > real ) ).

tff(func_def_3279,type,
    sK1862: 
      !>[X0: $tType] : ( ( fun(nat,X0) * X0 * nat ) > nat ) ).

tff(func_def_3280,type,
    sK1863: 
      !>[X0: $tType] : ( ( fun(nat,X0) * X0 * real ) > nat ) ).

tff(func_def_3281,type,
    sK1864: ( int * set(int) * int ) > int ).

tff(func_def_3282,type,
    sK1865: ( int * set(int) * int ) > int ).

tff(func_def_3283,type,
    sK1866: ( int * set(int) * int ) > int ).

tff(func_def_3284,type,
    sK1867: ( int * set(int) * int ) > int ).

tff(func_def_3285,type,
    sK1868: ( int * set(int) * int ) > int ).

tff(func_def_3286,type,
    sK1869: ( int * set(int) * int ) > int ).

tff(func_def_3287,type,
    sK1870: ( int * set(int) * int ) > int ).

tff(func_def_3288,type,
    sK1871: ( int * set(int) * int ) > int ).

tff(func_def_3289,type,
    sK1872: ( nat * nat ) > nat ).

tff(func_def_3290,type,
    sK1873: ( nat * nat ) > nat ).

tff(func_def_3291,type,
    sK1874: ( nat * nat ) > nat ).

tff(func_def_3292,type,
    sK1875: ( nat * nat ) > nat ).

tff(func_def_3293,type,
    sK1876: ( nat * nat ) > nat ).

tff(func_def_3294,type,
    sK1877: ( nat * nat ) > nat ).

tff(func_def_3295,type,
    sK1878: ( nat * nat ) > nat ).

tff(func_def_3296,type,
    sK1879: ( nat * nat ) > nat ).

tff(func_def_3297,type,
    sK1880: ( nat * nat ) > nat ).

tff(func_def_3298,type,
    sK1881: ( nat * nat * nat ) > nat ).

tff(func_def_3299,type,
    sK1882: ( nat * nat * nat ) > nat ).

tff(func_def_3300,type,
    sK1883: 
      !>[X0: $tType] : ( fun(X0,fun(X0,$o)) > X0 ) ).

tff(func_def_3301,type,
    sK1884: 
      !>[X0: $tType] : ( fun(X0,fun(X0,$o)) > X0 ) ).

tff(func_def_3302,type,
    sK1885: 
      !>[X0: $tType] : ( fun(X0,fun(X0,$o)) > X0 ) ).

tff(func_def_3303,type,
    sK1886: 
      !>[X0: $tType] : ( fun(X0,fun(X0,$o)) > X0 ) ).

tff(func_def_3304,type,
    sK1887: 
      !>[X0: $tType] : ( fun(X0,fun(X0,$o)) > X0 ) ).

tff(func_def_3305,type,
    sK1888: 
      !>[X0: $tType] : ( fun(X0,fun(X0,$o)) > X0 ) ).

tff(func_def_3306,type,
    sK1889: 
      !>[X0: $tType] : ( fun(X0,fun(X0,$o)) > X0 ) ).

tff(func_def_3307,type,
    sK1890: 
      !>[X0: $tType] : ( fun(X0,fun(X0,$o)) > X0 ) ).

tff(func_def_3308,type,
    sK1891: 
      !>[X0: $tType] : ( fun(X0,fun(X0,$o)) > X0 ) ).

tff(func_def_3309,type,
    sK1892: 
      !>[X0: $tType] : ( X0 > X0 ) ).

tff(func_def_3310,type,
    sK1893: 
      !>[X0: $tType] : ( X0 > X0 ) ).

tff(func_def_3311,type,
    sK1894: 
      !>[X0: $tType] : ( X0 > X0 ) ).

tff(func_def_3312,type,
    sK1895: 
      !>[X0: $tType] : ( X0 > X0 ) ).

tff(func_def_3313,type,
    sK1896: 
      !>[X0: $tType] : ( ( fun(X0,$o) * fun(X0,$o) * fun(X0,$o) * fun(X0,$o) ) > X0 ) ).

tff(func_def_3314,type,
    sK1897: 
      !>[X0: $tType] : ( ( fun(X0,$o) * fun(X0,$o) * X0 ) > X0 ) ).

tff(func_def_3315,type,
    sK1898: 
      !>[X0: $tType] : ( ( fun(X0,$o) * fun(X0,$o) * X0 ) > X0 ) ).

tff(func_def_3316,type,
    sK1899: 
      !>[X0: $tType] : ( ( fun(X0,$o) * fun(X0,$o) * fun(X0,$o) * fun(X0,$o) ) > X0 ) ).

tff(func_def_3317,type,
    sK1900: 
      !>[X0: $tType] : ( ( fun(X0,$o) * fun(X0,$o) * X0 ) > X0 ) ).

tff(func_def_3318,type,
    sK1901: 
      !>[X0: $tType] : ( ( fun(X0,$o) * fun(X0,$o) * X0 ) > X0 ) ).

tff(func_def_3319,type,
    sK1902: 
      !>[X0: $tType] : ( X0 > X0 ) ).

tff(func_def_3320,type,
    sK1903: 
      !>[X0: $tType] : ( X0 > X0 ) ).

tff(func_def_3321,type,
    sK1904: 
      !>[X0: $tType] : ( X0 > X0 ) ).

tff(func_def_3322,type,
    sK1905: 
      !>[X0: $tType] : ( X0 > X0 ) ).

tff(func_def_3323,type,
    sK1906: 
      !>[X0: $tType] : ( ( fun(X0,$o) * fun(X0,$o) * fun(X0,$o) * fun(X0,$o) ) > X0 ) ).

tff(func_def_3324,type,
    sK1907: 
      !>[X0: $tType] : ( ( fun(X0,$o) * fun(X0,$o) * X0 ) > X0 ) ).

tff(func_def_3325,type,
    sK1908: 
      !>[X0: $tType] : ( ( fun(X0,$o) * fun(X0,$o) * X0 ) > X0 ) ).

tff(func_def_3326,type,
    sK1909: 
      !>[X0: $tType] : ( ( fun(X0,$o) * fun(X0,$o) * fun(X0,$o) * fun(X0,$o) ) > X0 ) ).

tff(func_def_3327,type,
    sK1910: 
      !>[X0: $tType] : ( ( fun(X0,$o) * fun(X0,$o) * X0 ) > X0 ) ).

tff(func_def_3328,type,
    sK1911: 
      !>[X0: $tType] : ( ( fun(X0,$o) * fun(X0,$o) * X0 ) > X0 ) ).

tff(func_def_3329,type,
    sK1912: 
      !>[X0: $tType] : ( X0 > X0 ) ).

tff(func_def_3330,type,
    sK1913: 
      !>[X0: $tType] : ( X0 > X0 ) ).

tff(func_def_3331,type,
    sK1914: 
      !>[X0: $tType] : ( X0 > X0 ) ).

tff(func_def_3332,type,
    sK1915: 
      !>[X0: $tType] : ( X0 > X0 ) ).

tff(func_def_3333,type,
    sK1916: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_3334,type,
    sK1917: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_3335,type,
    sK1918: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_3336,type,
    sK1919: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_3337,type,
    sK1920: 
      !>[X0: $tType] : ( fun(X0,fun(X0,$o)) > X0 ) ).

tff(func_def_3338,type,
    sK1921: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_3339,type,
    sK1922: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * set(X1) * fun(X1,X0) * fun(X1,X0) ) > X1 ) ).

tff(func_def_3340,type,
    sK1923: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_3341,type,
    sK1924: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_3342,type,
    sK1925: 
      !>[X0: $tType] : ( ( set(nat) * fun(nat,X0) * fun(nat,X0) ) > nat ) ).

tff(func_def_3343,type,
    sK1926: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_3344,type,
    sK1927: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_3345,type,
    sK1928: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_3346,type,
    sK1929: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_3347,type,
    sK1930: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_3348,type,
    sK1931: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_3349,type,
    sK1932: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,X0) * fun(X1,X0) ) > X1 ) ).

tff(func_def_3350,type,
    sK1933: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_3351,type,
    sK1934: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,X0) * fun(X1,X0) ) > X1 ) ).

tff(func_def_3352,type,
    sK1935: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_3353,type,
    sK1936: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * set(X0) * fun(X1,X0) * set(X1) * set(X1) ) > X1 ) ).

tff(func_def_3354,type,
    sK1937: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * fun(X0,X1) * set(X1) * set(X1) ) > X1 ) ).

tff(func_def_3355,type,
    sK1938: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * set(X0) * fun(X1,X0) * set(X1) * set(X1) ) > X1 ) ).

tff(func_def_3356,type,
    sK1939: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * fun(X0,X1) * set(X1) * set(X1) ) > X1 ) ).

tff(func_def_3357,type,
    sK1940: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( set(X0) * fun(X0,X2) * fun(X0,X1) * fun(X2,X1) ) > X0 ) ).

tff(func_def_3358,type,
    sK1941: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_3359,type,
    sK1942: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,X1) ) > X0 ) ).

tff(func_def_3360,type,
    sK1943: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,fun(X0,$o)) * set(X1) * fun(X1,X0) * fun(X1,X0) ) > X1 ) ).

tff(func_def_3361,type,
    sK1944: 
      !>[X0: $tType] : ( fun(X0,fun(X0,$o)) > X0 ) ).

tff(func_def_3362,type,
    sK1945: 
      !>[X0: $tType] : ( fun(X0,fun(X0,$o)) > X0 ) ).

tff(func_def_3363,type,
    sK1946: 
      !>[X0: $tType] : ( fun(X0,fun(X0,$o)) > X0 ) ).

tff(func_def_3364,type,
    sK1947: 
      !>[X0: $tType] : ( fun(X0,fun(X0,$o)) > X0 ) ).

tff(func_def_3365,type,
    sK1948: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_3366,type,
    sK1949: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * set(X1) * fun(X1,X0) * fun(X1,X0) ) > X1 ) ).

tff(func_def_3367,type,
    sK1950: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_3368,type,
    sK1951: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_3369,type,
    sK1952: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,X0) * fun(X1,X0) ) > X1 ) ).

tff(func_def_3370,type,
    sK1953: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_3371,type,
    sK1954: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,X0) * fun(X1,X0) ) > X1 ) ).

tff(func_def_3372,type,
    sK1955: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_3373,type,
    sK1956: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_3374,type,
    sK1957: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_3375,type,
    sK1958: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_3376,type,
    sK1959: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_3377,type,
    sK1960: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_3378,type,
    sK1961: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_3379,type,
    sK1962: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * set(X0) * fun(X1,X0) * set(X1) * set(X1) ) > X1 ) ).

tff(func_def_3380,type,
    sK1963: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * fun(X0,X1) * set(X1) * set(X1) ) > X1 ) ).

tff(func_def_3381,type,
    sK1964: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * set(X0) * fun(X1,X0) * set(X1) * set(X1) ) > X1 ) ).

tff(func_def_3382,type,
    sK1965: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * fun(X0,X1) * set(X1) * set(X1) ) > X1 ) ).

tff(func_def_3383,type,
    sK1966: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( set(X0) * fun(X0,X2) * fun(X0,X1) * fun(X2,X1) ) > X0 ) ).

tff(func_def_3384,type,
    sK1967: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_3385,type,
    sK1968: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,X1) ) > X0 ) ).

tff(func_def_3386,type,
    sK1969: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,fun(X0,$o)) * set(X1) * fun(X1,X0) * fun(X1,X0) ) > X1 ) ).

tff(func_def_3387,type,
    sK1970: 
      !>[X0: $tType] : ( fun(X0,fun(X0,$o)) > X0 ) ).

tff(func_def_3388,type,
    sK1971: 
      !>[X0: $tType] : ( fun(X0,fun(X0,$o)) > X0 ) ).

tff(func_def_3389,type,
    sK1972: 
      !>[X0: $tType] : ( fun(X0,fun(X0,$o)) > X0 ) ).

tff(func_def_3390,type,
    sK1973: 
      !>[X0: $tType] : ( fun(X0,fun(X0,$o)) > X0 ) ).

tff(func_def_3391,type,
    sK1974: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * set(X0) ) > X0 ) ).

tff(func_def_3392,type,
    sK1975: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,X1) ) > X0 ) ).

tff(func_def_3393,type,
    sK1976: 
      !>[X0: $tType] : ( ( X0 * X0 ) > nat ) ).

tff(func_def_3394,type,
    sK1977: 
      !>[X0: $tType] : ( ( X0 * X0 ) > nat ) ).

tff(func_def_3395,type,
    sK1978: 
      !>[X0: $tType] : ( ( X0 * X0 * fun(X0,X0) ) > X0 ) ).

tff(func_def_3396,type,
    sK1979: 
      !>[X0: $tType] : ( list(X0) > X0 ) ).

tff(func_def_3397,type,
    sK1980: 
      !>[X0: $tType] : ( list(X0) > list(X0) ) ).

tff(func_def_3398,type,
    sK1981: 
      !>[X0: $tType,X1: $tType] : ( ( X1 * X1 * fun(X1,X0) * fun(X1,X0) ) > X1 ) ).

tff(func_def_3399,type,
    sK1982: 
      !>[X0: $tType,X1: $tType] : ( ( X1 * X1 * fun(X1,X0) * fun(X1,X0) ) > X1 ) ).

tff(func_def_3400,type,
    sK1983: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * fun(X1,X0) ) > X1 ) ).

tff(func_def_3401,type,
    sK1984: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * fun(X1,X0) ) > X1 ) ).

tff(func_def_3402,type,
    sK1985: 
      !>[X0: $tType,X1: $tType] : ( fun(X1,X0) > X1 ) ).

tff(func_def_3403,type,
    sK1986: 
      !>[X0: $tType,X1: $tType] : ( fun(X1,X0) > X1 ) ).

tff(func_def_3404,type,
    sK1987: 
      !>[X0: $tType,X1: $tType] : ( fun(X0,X1) > X0 ) ).

tff(func_def_3405,type,
    sK1988: 
      !>[X0: $tType,X1: $tType] : ( fun(X0,X1) > X0 ) ).

tff(func_def_3406,type,
    sK1989: 
      !>[X0: $tType,X1: $tType] : ( fun(X0,X1) > X0 ) ).

tff(func_def_3407,type,
    sK1990: 
      !>[X0: $tType,X1: $tType] : ( fun(X0,X1) > X0 ) ).

tff(func_def_3408,type,
    sK1991: 
      !>[X0: $tType,X1: $tType] : ( fun(X1,X0) > X1 ) ).

tff(func_def_3409,type,
    sK1992: 
      !>[X0: $tType,X1: $tType] : ( fun(X1,X0) > X1 ) ).

tff(func_def_3410,type,
    sK1993: 
      !>[X0: $tType,X1: $tType] : ( X1 > X0 ) ).

tff(func_def_3411,type,
    sK1994: 
      !>[X0: $tType,X1: $tType] : ( X1 > X0 ) ).

tff(func_def_3412,type,
    sK1995: 
      !>[X0: $tType] : ( ( X0 * X0 ) > X0 ) ).

tff(func_def_3413,type,
    sK1996: 
      !>[X0: $tType] : ( ( X0 * X0 ) > X0 ) ).

tff(func_def_3414,type,
    sK1997: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_3415,type,
    sK1998: 
      !>[X0: $tType,X1: $tType] : ( fun(X1,X0) > X1 ) ).

tff(func_def_3416,type,
    sK1999: 
      !>[X0: $tType,X1: $tType] : ( fun(X1,X0) > X1 ) ).

tff(func_def_3417,type,
    sK2000: 
      !>[X0: $tType,X1: $tType] : ( fun(X0,X1) > X0 ) ).

tff(func_def_3418,type,
    sK2001: 
      !>[X0: $tType,X1: $tType] : ( fun(X0,X1) > X0 ) ).

tff(func_def_3419,type,
    sK2002: 
      !>[X0: $tType,X1: $tType] : ( fun(X1,X0) > X1 ) ).

tff(func_def_3420,type,
    sK2003: 
      !>[X0: $tType,X1: $tType] : ( fun(X1,X0) > X1 ) ).

tff(func_def_3421,type,
    sK2004: 
      !>[X0: $tType,X1: $tType] : ( fun(X0,X1) > X0 ) ).

tff(func_def_3422,type,
    sK2005: 
      !>[X0: $tType,X1: $tType] : ( fun(X0,X1) > X0 ) ).

tff(func_def_3423,type,
    sK2006: 
      !>[X0: $tType,X1: $tType] : ( fun(X1,X0) > X1 ) ).

tff(func_def_3424,type,
    sK2007: 
      !>[X0: $tType,X1: $tType] : ( fun(X1,X0) > X1 ) ).

tff(func_def_3425,type,
    sK2008: 
      !>[X0: $tType,X1: $tType] : ( fun(X0,X1) > X0 ) ).

tff(func_def_3426,type,
    sK2009: 
      !>[X0: $tType,X1: $tType] : ( fun(X0,X1) > X0 ) ).

tff(func_def_3427,type,
    sK2010: 
      !>[X0: $tType,X1: $tType] : ( fun(X0,X1) > X0 ) ).

tff(func_def_3428,type,
    sK2011: 
      !>[X0: $tType,X1: $tType] : ( fun(X0,X1) > X0 ) ).

tff(func_def_3429,type,
    sK2012: 
      !>[X0: $tType,X1: $tType] : ( fun(X1,X0) > X1 ) ).

tff(func_def_3430,type,
    sK2013: 
      !>[X0: $tType,X1: $tType] : ( fun(X1,X0) > X1 ) ).

tff(func_def_3431,type,
    sK2014: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_3432,type,
    sK2015: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_3433,type,
    sK2016: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_3434,type,
    sK2017: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_3435,type,
    sK2018: 
      !>[X0: $tType] : ( fun(nat,X0) > nat ) ).

tff(func_def_3436,type,
    sK2019: 
      !>[X0: $tType] : ( fun(nat,X0) > nat ) ).

tff(func_def_3437,type,
    sK2020: 
      !>[X0: $tType] : ( fun(nat,X0) > nat ) ).

tff(func_def_3438,type,
    sK2021: 
      !>[X0: $tType] : ( fun(nat,X0) > nat ) ).

tff(func_def_3439,type,
    sK2022: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,X0) * fun(X1,X0) ) > X1 ) ).

tff(func_def_3440,type,
    sK2023: 
      !>[X0: $tType] : ( fun(X0,fun(X0,X0)) > X0 ) ).

tff(func_def_3441,type,
    sK2024: 
      !>[X0: $tType] : ( fun(X0,fun(X0,X0)) > X0 ) ).

tff(func_def_3442,type,
    sK2025: 
      !>[X0: $tType] : ( fun(X0,fun(X0,X0)) > X0 ) ).

tff(func_def_3443,type,
    sK2026: 
      !>[X0: $tType] : ( fun(X0,fun(X0,X0)) > X0 ) ).

tff(func_def_3444,type,
    sK2027: 
      !>[X0: $tType] : ( fun(X0,fun(X0,X0)) > X0 ) ).

tff(func_def_3445,type,
    sK2028: 
      !>[X0: $tType] : ( fun(X0,fun(X0,X0)) > X0 ) ).

tff(func_def_3446,type,
    sK2029: 
      !>[X0: $tType] : ( fun(X0,fun(X0,X0)) > X0 ) ).

tff(func_def_3447,type,
    sK2030: 
      !>[X0: $tType] : ( fun(X0,fun(X0,X0)) > X0 ) ).

tff(func_def_3448,type,
    sK2031: 
      !>[X0: $tType] : ( fun(X0,fun(X0,X0)) > X0 ) ).

tff(func_def_3449,type,
    sK2032: 
      !>[X0: $tType] : ( fun(X0,fun(X0,X0)) > X0 ) ).

tff(func_def_3450,type,
    sK2033: 
      !>[X0: $tType] : ( fun(X0,fun(X0,X0)) > X0 ) ).

tff(func_def_3451,type,
    sK2034: 
      !>[X0: $tType] : ( fun(X0,fun(X0,X0)) > X0 ) ).

tff(func_def_3452,type,
    sK2035: 
      !>[X0: $tType] : ( fun(X0,fun(X0,X0)) > X0 ) ).

tff(func_def_3453,type,
    sK2036: 
      !>[X0: $tType] : ( fun(X0,fun(X0,X0)) > X0 ) ).

tff(func_def_3454,type,
    sK2037: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,X1) ) > X0 ) ).

tff(func_def_3455,type,
    sK2038: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_3456,type,
    sK2039: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * set(X0) ) > X0 ) ).

tff(func_def_3457,type,
    sK2040: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * set(X0) ) > X0 ) ).

tff(func_def_3458,type,
    sK2041: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,X0) * fun(X1,X0) ) > X1 ) ).

tff(func_def_3459,type,
    sK2042: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,X0) * fun(X1,X0) ) > X1 ) ).

tff(func_def_3460,type,
    sK2043: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,X1) * X1 ) > X0 ) ).

tff(func_def_3461,type,
    sK2044: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,X1) * X1 ) > X0 ) ).

tff(func_def_3462,type,
    sK2045: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * X1 * fun(X0,X1) ) > X0 ) ).

tff(func_def_3463,type,
    sK2046: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * X1 * fun(X0,X1) ) > X0 ) ).

tff(func_def_3464,type,
    sK2047: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( set(X0) * set(X2) * fun(X2,X1) * fun(X0,X1) ) > X2 ) ).

tff(func_def_3465,type,
    sK2048: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( set(X0) * set(X2) * fun(X2,X1) * fun(X0,X1) ) > X0 ) ).

tff(func_def_3466,type,
    sK2049: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( set(X0) * set(X2) * fun(X0,X1) * fun(X2,X1) ) > X2 ) ).

tff(func_def_3467,type,
    sK2050: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( set(X0) * set(X2) * fun(X0,X1) * fun(X2,X1) ) > X0 ) ).

tff(func_def_3468,type,
    sK2051: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * set(X0) * X1 ) > X0 ) ).

tff(func_def_3469,type,
    sK2052: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * fun(X1,X0) ) > X1 ) ).

tff(func_def_3470,type,
    sK2053: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,X1) * X1 ) > X0 ) ).

tff(func_def_3471,type,
    sK2054: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( set(X0) * set(X2) * fun(X0,X1) * fun(X2,X1) ) > X0 ) ).

tff(func_def_3472,type,
    sK2055: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,X1) * X1 ) > X1 ) ).

tff(func_def_3473,type,
    sK2056: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,X1) * X1 ) > X0 ) ).

tff(func_def_3474,type,
    sK2057: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * X0 * fun(X1,X0) ) > X1 ) ).

tff(func_def_3475,type,
    sK2058: 
      !>[X0: $tType,X1: $tType] : ( ( X0 * fun(X1,X0) * set(X1) ) > X1 ) ).

tff(func_def_3476,type,
    sK2059: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * fun(X1,X0) ) > X1 ) ).

tff(func_def_3477,type,
    sK2060: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( set(X2) * set(X0) * fun(X0,X1) * fun(X2,X1) ) > X2 ) ).

tff(func_def_3478,type,
    sK2061: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * X1 * fun(X0,X1) ) > X1 ) ).

tff(func_def_3479,type,
    sK2062: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * X1 * fun(X0,X1) ) > X0 ) ).

tff(func_def_3480,type,
    sK2063: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * set(X0) ) > X0 ) ).

tff(func_def_3481,type,
    sK2064: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * set(X0) ) > X0 ) ).

tff(func_def_3482,type,
    sK2065: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_3483,type,
    sK2066: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_3484,type,
    sK2067: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_3485,type,
    sK2068: 
      !>[X0: $tType] : ( ( X0 * set(X0) ) > X0 ) ).

tff(func_def_3486,type,
    sK2069: 
      !>[X0: $tType] : ( ( set(X0) * set(X0) ) > X0 ) ).

tff(func_def_3487,type,
    sK2070: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_3488,type,
    sK2071: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_3489,type,
    sK2072: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_3490,type,
    sK2073: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_3491,type,
    sK2074: 
      !>[X0: $tType] : ( ( set(X0) * set(X0) ) > X0 ) ).

tff(func_def_3492,type,
    sK2075: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_3493,type,
    sK2076: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_3494,type,
    sK2077: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * X0 * fun(X1,X0) ) > X1 ) ).

tff(func_def_3495,type,
    sK2078: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,X1) * X1 ) > X0 ) ).

tff(func_def_3496,type,
    sK2079: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_3497,type,
    sK2080: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_3498,type,
    sK2081: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_3499,type,
    sK2082: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_3500,type,
    sK2083: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_3501,type,
    sK2084: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_3502,type,
    sK2085: 
      !>[X0: $tType] : ( ( X0 * set(X0) ) > X0 ) ).

tff(func_def_3503,type,
    sK2086: 
      !>[X0: $tType] : ( ( X0 * set(X0) ) > X0 ) ).

tff(func_def_3504,type,
    sK2087: 
      !>[X0: $tType] : ( ( set(X0) * set(X0) * set(X0) ) > set(X0) ) ).

tff(func_def_3505,type,
    sK2088: 
      !>[X0: $tType] : ( ( set(X0) * set(X0) * set(X0) ) > set(X0) ) ).

tff(func_def_3506,type,
    sK2089: real > nat ).

tff(func_def_3507,type,
    sK2090: fun(real,$o) > nat ).

tff(func_def_3508,type,
    sK2091: fun(real,$o) > real ).

tff(func_def_3509,type,
    sK2092: fun(real,$o) > real ).

tff(func_def_3510,type,
    sK2093: fun(real,$o) > nat ).

tff(func_def_3511,type,
    sK2094: fun(real,$o) > real ).

tff(func_def_3512,type,
    sK2095: fun(real,$o) > real ).

tff(func_def_3513,type,
    sK2096: 
      !>[X0: $tType] : ( fun(nat,X0) > real ) ).

tff(func_def_3514,type,
    sK2097: 
      !>[X0: $tType] : ( ( fun(nat,X0) * nat ) > nat ) ).

tff(func_def_3515,type,
    sK2098: 
      !>[X0: $tType] : ( ( fun(nat,X0) * nat ) > nat ) ).

tff(func_def_3516,type,
    sK2099: 
      !>[X0: $tType] : ( ( fun(nat,X0) * real ) > nat ) ).

tff(func_def_3517,type,
    sK2100: 
      !>[X0: $tType] : ( ( real * nat * fun(nat,X0) ) > nat ) ).

tff(func_def_3518,type,
    sK2101: 
      !>[X0: $tType] : ( ( fun(nat,X0) * real ) > nat ) ).

tff(func_def_3519,type,
    sK2102: 
      !>[X0: $tType] : ( ( fun(nat,X0) * fun(nat,real) * nat ) > nat ) ).

tff(func_def_3520,type,
    sK2103: 
      !>[X0: $tType] : ( ( fun(nat,real) * nat * fun(nat,X0) ) > nat ) ).

tff(func_def_3521,type,
    sK2104: 
      !>[X0: $tType,X1: $tType] : ( fun(X0,X1) > real ) ).

tff(func_def_3522,type,
    sK2105: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * nat ) > X0 ) ).

tff(func_def_3523,type,
    sK2106: 
      !>[X0: $tType,X1: $tType] : ( fun(X0,X1) > nat ) ).

tff(func_def_3524,type,
    sK2107: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * real ) > X0 ) ).

tff(func_def_3525,type,
    sK2108: 
      !>[X0: $tType,X1: $tType] : ( fun(X0,X1) > real ) ).

tff(func_def_3526,type,
    sK2109: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * nat ) > X0 ) ).

tff(func_def_3527,type,
    sK2110: 
      !>[X0: $tType,X1: $tType] : ( fun(X0,X1) > nat ) ).

tff(func_def_3528,type,
    sK2111: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * real ) > X0 ) ).

tff(func_def_3529,type,
    sK2112: 
      !>[X0: $tType] : ( ( fun(X0,$o) * X0 * X0 ) > X0 ) ).

tff(func_def_3530,type,
    sK2113: 
      !>[X0: $tType] : ( ( fun(X0,$o) * X0 ) > X0 ) ).

tff(func_def_3531,type,
    sK2114: 
      !>[X0: $tType] : ( X0 > X0 ) ).

tff(func_def_3532,type,
    sK2115: 
      !>[X0: $tType] : ( X0 > X0 ) ).

tff(func_def_3533,type,
    sK2116: 
      !>[X0: $tType] : ( ( X0 * X0 ) > X0 ) ).

tff(func_def_3534,type,
    sK2117: 
      !>[X0: $tType] : ( ( X0 * X0 ) > X0 ) ).

tff(func_def_3535,type,
    sK2118: 
      !>[X0: $tType] : ( ( X0 * X0 ) > X0 ) ).

tff(func_def_3536,type,
    sK2119: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,X0) * fun(X1,X0) ) > X1 ) ).

tff(func_def_3537,type,
    sK2120: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_3538,type,
    sK2121: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,X0) * fun(X1,X0) ) > X1 ) ).

tff(func_def_3539,type,
    sK2122: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_3540,type,
    sK2123: 
      !>[X0: $tType] : ( ( nat * fun(nat,X0) * X0 ) > nat ) ).

tff(func_def_3541,type,
    sK2124: 
      !>[X0: $tType] : ( ( fun(int,$o) * X0 ) > int ) ).

tff(func_def_3542,type,
    sK2125: 
      !>[X0: $tType] : ( X0 > int ) ).

tff(func_def_3543,type,
    sK2126: 
      !>[X0: $tType] : ( X0 > nat ) ).

tff(func_def_3544,type,
    sK2127: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( set(X2) * fun(X2,set(X0)) * fun(X0,X1) * fun(X2,set(X1)) ) > X2 ) ).

tff(func_def_3545,type,
    sK2128: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,set(X0)) ) > X1 ) ).

tff(func_def_3546,type,
    sK2129: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,set(X0)) ) > X1 ) ).

tff(func_def_3547,type,
    sK2130: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * fun(X0,X1) * set(X1) ) > X1 ) ).

tff(func_def_3548,type,
    sK2131: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X1,X0) * fun(X0,X1) ) > X0 ) ).

tff(func_def_3549,type,
    sK2132: 
      !>[X0: $tType] : ( set(X0) > fun(nat,X0) ) ).

tff(func_def_3550,type,
    sK2133: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > fun(X0,X0) ) ).

tff(func_def_3551,type,
    sK2134: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * set(X1) * fun(set(X0),$o) ) > set(X1) ) ).

tff(func_def_3552,type,
    sK2135: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * set(X1) * fun(set(X0),$o) ) > set(X0) ) ).

tff(func_def_3553,type,
    sK2136: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X1,X0) * set(X1) ) > set(X1) ) ).

tff(func_def_3554,type,
    sK2137: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X1,X0) * set(X1) ) > set(X1) ) ).

tff(func_def_3555,type,
    sK2138: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( set(X2) * fun(X2,X0) * fun(X0,X1) ) > X2 ) ).

tff(func_def_3556,type,
    sK2139: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( set(X2) * fun(X2,X0) * fun(X0,X1) ) > X2 ) ).

tff(func_def_3557,type,
    sK2140: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * set(set(X1)) ) > set(X1) ) ).

tff(func_def_3558,type,
    sK2141: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * set(set(X1)) ) > set(X1) ) ).

tff(func_def_3559,type,
    sK2142: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * set(set(X1)) ) > X1 ) ).

tff(func_def_3560,type,
    sK2143: 
      !>[X0: $tType] : ( set(set(X0)) > set(X0) ) ).

tff(func_def_3561,type,
    sK2144: 
      !>[X0: $tType,X1: $tType] : ( fun(X1,X0) > X1 ) ).

tff(func_def_3562,type,
    sK2145: 
      !>[X0: $tType,X1: $tType] : ( fun(X1,X0) > X1 ) ).

tff(func_def_3563,type,
    sK2146: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * X1 * X1 ) > X1 ) ).

tff(func_def_3564,type,
    sK2147: 
      !>[X0: $tType] : ( ( X0 * fun(X0,$o) * X0 ) > X0 ) ).

tff(func_def_3565,type,
    sK2148: 
      !>[X0: $tType] : ( ( X0 * fun(X0,$o) ) > X0 ) ).

tff(func_def_3566,type,
    sK2149: 
      !>[X0: $tType] : ( ( fun(X0,$o) * X0 * X0 ) > X0 ) ).

tff(func_def_3567,type,
    sK2150: 
      !>[X0: $tType] : ( ( fun(X0,$o) * X0 ) > X0 ) ).

tff(func_def_3568,type,
    sK2151: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * fun(X1,$o) ) > X1 ) ).

tff(func_def_3569,type,
    sK2152: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * fun(X1,$o) ) > X1 ) ).

tff(func_def_3570,type,
    sK2153: 
      !>[X0: $tType] : ( ( fun(X0,$o) * X0 ) > X0 ) ).

tff(func_def_3571,type,
    sK2154: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,$o) * fun(X0,$o) * fun(X0,X1) ) > X0 ) ).

tff(func_def_3572,type,
    sK2155: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * fun(X0,$o) * fun(X0,X1) ) > X0 ) ).

tff(func_def_3573,type,
    sK2156: 
      !>[X0: $tType] : ( ( X0 * fun(X0,$o) * X0 ) > X0 ) ).

tff(func_def_3574,type,
    sK2157: 
      !>[X0: $tType] : ( ( X0 * fun(X0,$o) ) > X0 ) ).

tff(func_def_3575,type,
    sK2158: 
      !>[X0: $tType] : ( ( nat * fun(nat,X0) * fun(nat,X0) ) > nat ) ).

tff(func_def_3576,type,
    sK2159: 
      !>[X0: $tType] : ( ( fun(nat,X0) * fun(nat,X0) * nat ) > nat ) ).

tff(func_def_3577,type,
    sK2160: 
      !>[X0: $tType] : ( ( fun(nat,X0) * nat * X0 ) > nat ) ).

tff(func_def_3578,type,
    sK2161: 
      !>[X0: $tType] : ( ( fun(nat,X0) * nat * X0 ) > nat ) ).

tff(func_def_3579,type,
    sK2162: 
      !>[X0: $tType] : ( ( fun(nat,X0) * X0 * nat ) > nat ) ).

tff(func_def_3580,type,
    sK2163: 
      !>[X0: $tType] : ( ( fun(nat,X0) * X0 * nat ) > nat ) ).

tff(func_def_3581,type,
    sK2164: 
      !>[X0: $tType] : ( ( fun(real,X0) * real * real ) > X0 ) ).

tff(func_def_3582,type,
    sK2165: 
      !>[X0: $tType] : ( ( fun(real,X0) * real * real * X0 ) > real ) ).

tff(func_def_3583,type,
    sK2166: 
      !>[X0: $tType] : ( ( real * real * fun(real,X0) ) > real ) ).

tff(func_def_3584,type,
    sK2167: 
      !>[X0: $tType] : ( ( real * real * fun(real,X0) ) > X0 ) ).

tff(func_def_3585,type,
    sK2168: 
      !>[X0: $tType] : ( ( real * real * fun(real,X0) ) > real ) ).

tff(func_def_3586,type,
    sK2169: 
      !>[X0: $tType] : ( ( fun(real,X0) * real * real ) > X0 ) ).

tff(func_def_3587,type,
    sK2170: 
      !>[X0: $tType] : ( ( fun(real,X0) * real * real ) > real ) ).

tff(func_def_3588,type,
    sK2171: 
      !>[X0: $tType] : ( ( real * real * fun(real,X0) ) > real ) ).

tff(func_def_3589,type,
    sK2172: 
      !>[X0: $tType] : ( ( fun(real,X0) * real * real ) > X0 ) ).

tff(func_def_3590,type,
    sK2173: 
      !>[X0: $tType] : ( ( fun(real,X0) * real * real ) > real ) ).

tff(func_def_3591,type,
    sK2174: 
      !>[X0: $tType] : ( ( real * real * fun(real,X0) ) > real ) ).

tff(func_def_3592,type,
    sK2175: 
      !>[X0: $tType] : ( ( set(nat) * fun(nat,X0) ) > nat ) ).

tff(func_def_3593,type,
    sK2176: ( fun(nat,real) * nat ) > nat ).

tff(func_def_3594,type,
    sK2177: 
      !>[X0: $tType] : ( ( set(nat) * fun(nat,X0) ) > nat ) ).

tff(func_def_3595,type,
    sK2178: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,X1) * X1 ) > X0 ) ).

tff(func_def_3596,type,
    sK2179: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_3597,type,
    sK2180: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,X0) * X0 ) > X1 ) ).

tff(func_def_3598,type,
    sK2181: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_3599,type,
    sK2182: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_3600,type,
    sK2183: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_3601,type,
    sK2184: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_3602,type,
    sK2185: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_3603,type,
    sK2186: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_3604,type,
    sK2187: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_3605,type,
    sK2188: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_3606,type,
    sK2189: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_3607,type,
    sK2190: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_3608,type,
    sK2191: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_3609,type,
    sK2192: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_3610,type,
    sK2193: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_3611,type,
    sK2194: 
      !>[X0: $tType] : ( ( X0 * set(X0) ) > X0 ) ).

tff(func_def_3612,type,
    sK2195: 
      !>[X0: $tType] : ( ( X0 * X0 * fun(X0,$o) ) > X0 ) ).

tff(func_def_3613,type,
    sK2196: 
      !>[X0: $tType] : ( ( X0 * fun(X0,$o) * X0 ) > X0 ) ).

tff(func_def_3614,type,
    sK2197: 
      !>[X0: $tType] : ( ( set(X0) * X0 * X0 ) > X0 ) ).

tff(func_def_3615,type,
    sK2198: 
      !>[X0: $tType] : ( ( set(X0) * X0 * X0 ) > X0 ) ).

tff(func_def_3616,type,
    sK2199: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_3617,type,
    sK2200: set(int) > int ).

tff(func_def_3618,type,
    sK2201: set(nat) > nat ).

tff(func_def_3619,type,
    sK2202: set(nat) > nat ).

tff(func_def_3620,type,
    sK2203: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,filter(X1)) ) > X0 ) ).

tff(func_def_3621,type,
    sK2204: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,filter(X1)) ) > X0 ) ).

tff(func_def_3622,type,
    sK2205: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,filter(X0)) * fun(X0,$o) ) > X1 ) ).

tff(func_def_3623,type,
    sK2206: 
      !>[X0: $tType] : ( set(filter(X0)) > filter(X0) ) ).

tff(func_def_3624,type,
    sK2207: 
      !>[X0: $tType] : ( set(filter(X0)) > filter(X0) ) ).

tff(func_def_3625,type,
    sK2208: 
      !>[X0: $tType] : ( ( set(filter(X0)) * fun(X0,$o) ) > filter(X0) ) ).

tff(func_def_3626,type,
    sK2209: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,filter(X1)) ) > X0 ) ).

tff(func_def_3627,type,
    sK2210: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,filter(X1)) ) > X0 ) ).

tff(func_def_3628,type,
    sK2211: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,filter(X1)) ) > X0 ) ).

tff(func_def_3629,type,
    sK2212: 
      !>[X0: $tType] : ( ( set(X0) * fun(X0,$o) * fun(X0,$o) ) > X0 ) ).

tff(func_def_3630,type,
    sK2213: 
      !>[X0: $tType] : ( ( fun(nat,set(X0)) * fun(nat,set(X0)) * nat ) > nat ) ).

tff(func_def_3631,type,
    sK2214: 
      !>[X0: $tType] : ( ( fun(nat,set(X0)) * fun(nat,set(X0)) * nat ) > nat ) ).

tff(func_def_3632,type,
    sK2215: 
      !>[X0: $tType] : ( ( fun(nat,set(X0)) * set(X0) ) > nat ) ).

tff(func_def_3633,type,
    sK2216: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,set(X1)) * set(X1) ) > X0 ) ).

tff(func_def_3634,type,
    sK2217: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( fun(X1,fun(X0,fun(X2,$o))) * set(X1) * X0 * X2 ) > X1 ) ).

tff(func_def_3635,type,
    sK2218: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,fun(X1,$o)) * set(X0) * X1 ) > X0 ) ).

tff(func_def_3636,type,
    sK2219: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,set(X1)) * set(X0) * set(X1) ) > X0 ) ).

tff(func_def_3637,type,
    sK2220: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,set(X1)) * set(X1) ) > X0 ) ).

tff(func_def_3638,type,
    sK2221: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,set(X0)) * fun(X1,set(X0)) ) > X1 ) ).

tff(func_def_3639,type,
    sK2222: 
      !>[X0: $tType,X1: $tType] : ( ( X0 * fun(X1,set(X0)) * set(X1) ) > X1 ) ).

tff(func_def_3640,type,
    sK2223: 
      !>[X0: $tType,X1: $tType] : ( ( X0 * fun(X1,set(X0)) * set(X1) ) > X1 ) ).

tff(func_def_3641,type,
    sK2224: 
      !>[X0: $tType] : ( ( set(set(X0)) * set(X0) ) > set(X0) ) ).

tff(func_def_3642,type,
    sK2225: 
      !>[X0: $tType] : ( ( set(set(X0)) * set(set(X0)) ) > set(X0) ) ).

tff(func_def_3643,type,
    sK2226: 
      !>[X0: $tType] : ( ( set(X0) * fun(X0,nat) ) > X0 ) ).

tff(func_def_3644,type,
    sK2227: 
      !>[X0: $tType] : ( ( set(X0) * fun(X0,nat) ) > X0 ) ).

tff(func_def_3645,type,
    sK2228: ( nat * fun(nat,$o) ) > nat ).

tff(func_def_3646,type,
    sK2229: ( nat * fun(nat,$o) ) > nat ).

tff(func_def_3647,type,
    sK2230: ( nat * fun(nat,$o) ) > nat ).

tff(func_def_3648,type,
    sK2231: ( nat * fun(nat,$o) ) > nat ).

tff(func_def_3649,type,
    sK2232: fun(nat,$o) > int ).

tff(func_def_3650,type,
    sK2233: fun(nat,$o) > nat ).

tff(func_def_3651,type,
    sK2234: fun(nat,$o) > nat ).

tff(func_def_3652,type,
    sK2235: fun(nat,$o) > int ).

tff(func_def_3653,type,
    sK2236: ( real * real * fun(real,real) ) > real ).

tff(func_def_3654,type,
    sK2237: ( real * real * fun(real,real) * fun(real,real) ) > real ).

tff(func_def_3655,type,
    sK2238: ( int * set(int) * int ) > int ).

tff(func_def_3656,type,
    sK2239: ( int * set(int) * int ) > int ).

tff(func_def_3657,type,
    sK2240: ( int * set(int) * int ) > int ).

tff(func_def_3658,type,
    sK2241: ( int * set(int) * int ) > int ).

tff(func_def_3659,type,
    sK2242: ( int * set(int) * int ) > int ).

tff(func_def_3660,type,
    sK2243: ( int * set(int) * int ) > int ).

tff(func_def_3661,type,
    sK2244: ( int * set(int) * int ) > int ).

tff(func_def_3662,type,
    sK2245: ( int * set(int) * int ) > int ).

tff(func_def_3663,type,
    sK2246: ( int * set(int) * int ) > int ).

tff(func_def_3664,type,
    sK2247: ( int * set(int) * int ) > int ).

tff(func_def_3665,type,
    sK2248: ( int * set(int) * int ) > int ).

tff(func_def_3666,type,
    sK2249: ( int * set(int) * int ) > int ).

tff(func_def_3667,type,
    sK2250: ( int * set(int) * int ) > int ).

tff(func_def_3668,type,
    sK2251: ( int * set(int) * int ) > int ).

tff(func_def_3669,type,
    sK2252: ( int * set(int) * int ) > int ).

tff(func_def_3670,type,
    sK2253: ( int * set(int) * int ) > int ).

tff(func_def_3671,type,
    sK2254: ( int * set(int) * int ) > int ).

tff(func_def_3672,type,
    sK2255: ( int * set(int) * int ) > int ).

tff(func_def_3673,type,
    sK2256: ( int * set(int) * int ) > int ).

tff(func_def_3674,type,
    sK2257: ( int * set(int) * int ) > int ).

tff(func_def_3675,type,
    sK2258: fun(int,$o) > int ).

tff(func_def_3676,type,
    sK2259: ( int * fun(int,$o) ) > int ).

tff(func_def_3677,type,
    sK2260: ( int * fun(int,$o) ) > int ).

tff(func_def_3678,type,
    sK2261: ( int * fun(int,$o) ) > int ).

tff(func_def_3679,type,
    sK2262: ( int * fun(int,$o) * set(int) ) > int ).

tff(func_def_3680,type,
    sK2263: ( int * set(int) * int ) > int ).

tff(func_def_3681,type,
    sK2264: ( int * set(int) * int ) > int ).

tff(func_def_3682,type,
    sK2265: ( int * set(int) * fun(int,$o) ) > int ).

tff(func_def_3683,type,
    sK2266: ( int * fun(int,$o) * set(int) ) > int ).

tff(func_def_3684,type,
    sK2267: ( int * set(int) * int ) > int ).

tff(func_def_3685,type,
    sK2268: ( int * set(int) * int ) > int ).

tff(func_def_3686,type,
    sK2269: ( int * set(int) * fun(int,$o) ) > int ).

tff(func_def_3687,type,
    sK2270: ( int * fun(int,$o) * set(int) ) > int ).

tff(func_def_3688,type,
    sK2271: ( int * set(int) * int ) > int ).

tff(func_def_3689,type,
    sK2272: ( int * set(int) * int ) > int ).

tff(func_def_3690,type,
    sK2273: ( int * set(int) * fun(int,$o) ) > int ).

tff(func_def_3691,type,
    sK2274: ( int * fun(int,$o) * set(int) ) > int ).

tff(func_def_3692,type,
    sK2275: ( int * set(int) * int ) > int ).

tff(func_def_3693,type,
    sK2276: ( int * set(int) * int ) > int ).

tff(func_def_3694,type,
    sK2277: ( int * set(int) * fun(int,$o) ) > int ).

tff(func_def_3695,type,
    sK2278: ( int * set(int) * int ) > int ).

tff(func_def_3696,type,
    sK2279: ( int * set(int) * int ) > int ).

tff(func_def_3697,type,
    sK2280: ( int * set(int) * int ) > int ).

tff(func_def_3698,type,
    sK2281: ( int * set(int) * int ) > int ).

tff(func_def_3699,type,
    sK2282: fun(int,$o) > int ).

tff(func_def_3700,type,
    sK2283: ( int * fun(int,$o) ) > int ).

tff(func_def_3701,type,
    sK2284: ( int * set(int) * fun(int,$o) ) > int ).

tff(func_def_3702,type,
    sK2285: ( int * set(int) * fun(int,$o) ) > int ).

tff(func_def_3703,type,
    sK2286: ( int * fun(int,$o) ) > int ).

tff(func_def_3704,type,
    sK2287: ( int * fun(int,$o) ) > int ).

tff(func_def_3705,type,
    sK2288: ( int * fun(int,$o) * set(int) ) > int ).

tff(func_def_3706,type,
    sK2289: ( fun(int,$o) * fun(int,$o) * int ) > int ).

tff(func_def_3707,type,
    sK2290: fun(int,$o) > int ).

tff(func_def_3708,type,
    sK2291: ( int * fun(int,$o) ) > int ).

tff(func_def_3709,type,
    sK2292: ( int * set(int) * fun(int,$o) ) > int ).

tff(func_def_3710,type,
    sK2293: ( int * set(int) * fun(int,$o) ) > int ).

tff(func_def_3711,type,
    sK2294: ( int * fun(int,$o) ) > int ).

tff(func_def_3712,type,
    sK2295: ( int * fun(int,$o) ) > int ).

tff(func_def_3713,type,
    sK2296: ( int * fun(int,$o) * set(int) ) > int ).

tff(func_def_3714,type,
    sK2297: ( fun(int,$o) * fun(int,$o) * int ) > int ).

tff(func_def_3715,type,
    sK2298: ( nat * fun(nat,$o) ) > nat ).

tff(func_def_3716,type,
    sK2299: ( nat * fun(nat,$o) ) > nat ).

tff(func_def_3717,type,
    sK2300: ( nat * fun(nat,$o) ) > nat ).

tff(func_def_3718,type,
    sK2301: ( nat * fun(nat,$o) ) > nat ).

tff(func_def_3719,type,
    sK2302: set(int) > int ).

tff(func_def_3720,type,
    sK2303: set(nat) > nat ).

tff(func_def_3721,type,
    sK2304: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( set(X1) * fun(X1,fun(X0,fun(X2,$o))) * X0 * X2 ) > X1 ) ).

tff(func_def_3722,type,
    sK2305: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,fun(X1,$o)) * X1 ) > X0 ) ).

tff(func_def_3723,type,
    sK2306: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X1,set(X0)) * set(X1) ) > X1 ) ).

tff(func_def_3724,type,
    sK2307: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,set(X0)) * fun(X1,set(X0)) ) > X1 ) ).

tff(func_def_3725,type,
    sK2308: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * set(X0) * fun(X1,set(X0)) ) > X1 ) ).

tff(func_def_3726,type,
    sK2309: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * X0 * fun(X1,set(X0)) ) > X1 ) ).

tff(func_def_3727,type,
    sK2310: 
      !>[X0: $tType,X1: $tType] : ( ( X0 * fun(X1,set(X0)) * set(X1) ) > X1 ) ).

tff(func_def_3728,type,
    sK2311: 
      !>[X0: $tType] : ( ( set(set(X0)) * set(X0) ) > set(X0) ) ).

tff(func_def_3729,type,
    sK2312: ( real * real * fun(real,real) ) > real ).

tff(func_def_3730,type,
    sK2313: ( real * real * fun(real,real) * fun(real,real) ) > real ).

tff(func_def_3731,type,
    sK2314: ( fun(real,real) * real * real ) > real ).

tff(func_def_3732,type,
    sK2315: ( fun(real,real) * real * real ) > real ).

tff(func_def_3733,type,
    sK2316: ( fun(real,real) * real * real ) > real ).

tff(func_def_3734,type,
    sK2317: ( nat * fun(nat,int) * int ) > nat ).

tff(func_def_3735,type,
    sK2318: ( nat * fun(nat,int) ) > nat ).

tff(func_def_3736,type,
    sK2319: ( nat * fun(nat,int) * int ) > nat ).

tff(func_def_3737,type,
    sK2320: ( nat * fun(nat,int) ) > nat ).

tff(func_def_3738,type,
    sK2321: ( fun(nat,int) * nat * nat ) > nat ).

tff(func_def_3739,type,
    sK2322: ( nat * nat * fun(nat,int) * int ) > nat ).

tff(func_def_3740,type,
    sK2323: ( real * real * real ) > real ).

tff(func_def_3741,type,
    sK2324: ( real * real * real ) > real ).

tff(func_def_3742,type,
    sK2325: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,$o) * fun(X0,X1) * set(X1) ) > X0 ) ).

tff(func_def_3743,type,
    sK2326: 
      !>[X0: $tType] : ( ( set(X0) * fun(X0,$o) ) > X0 ) ).

tff(func_def_3744,type,
    sK2327: 
      !>[X0: $tType] : ( ( fun(X0,$o) * fun(X0,$o) ) > X0 ) ).

tff(func_def_3745,type,
    sK2328: 
      !>[X0: $tType] : ( ( fun(X0,$o) * fun(X0,$o) ) > X0 ) ).

tff(func_def_3746,type,
    sK2329: 
      !>[X0: $tType] : ( ( fun(X0,$o) * fun(X0,$o) ) > X0 ) ).

tff(func_def_3747,type,
    sK2330: real > int ).

tff(func_def_3748,type,
    sK2331: real > int ).

tff(func_def_3749,type,
    sK2332: real > int ).

tff(func_def_3750,type,
    sK2333: real > int ).

tff(func_def_3751,type,
    sK2334: ( real * real ) > real ).

tff(func_def_3752,type,
    sK2335: ( real * real ) > real ).

tff(func_def_3753,type,
    sK2336: real > nat ).

tff(func_def_3754,type,
    sK2337: real > nat ).

tff(func_def_3755,type,
    sK2338: real > nat ).

tff(func_def_3756,type,
    sK2339: ( real * real ) > real ).

tff(func_def_3757,type,
    sK2340: real > nat ).

tff(func_def_3758,type,
    sK2341: real > nat ).

tff(func_def_3759,type,
    sK2342: real > real ).

tff(func_def_3760,type,
    sK2343: real > real ).

tff(func_def_3761,type,
    sK2344: ( real * real ) > real ).

tff(func_def_3762,type,
    sK2345: real > nat ).

tff(func_def_3763,type,
    sK2346: real > nat ).

tff(func_def_3764,type,
    sK2347: real > nat ).

tff(func_def_3765,type,
    sK2348: real > real ).

tff(func_def_3766,type,
    sK2349: ( real * real ) > real ).

tff(func_def_3767,type,
    sK2350: ( real * real ) > real ).

tff(func_def_3768,type,
    sK2351: real ).

tff(func_def_3769,type,
    sK2352: ( set(nat) * nat ) > nat ).

tff(func_def_3770,type,
    sK2353: ( nat * set(nat) ) > nat ).

tff(func_def_3771,type,
    sK2354: ( set(nat) * nat * nat ) > nat ).

tff(func_def_3772,type,
    sK2355: ( vEBT_VEBT * nat * nat ) > nat ).

tff(func_def_3773,type,
    sK2356: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * set(X0) * fun(X1,fun(X0,$o)) * fun(X1,fun(X0,$o)) ) > X1 ) ).

tff(func_def_3774,type,
    sK2357: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * set(X0) * fun(X1,fun(X0,$o)) * fun(X1,fun(X0,$o)) ) > X0 ) ).

tff(func_def_3775,type,
    sK2358: 
      !>[X0: $tType,X1: $tType] : ( ( X1 * product_prod(X0,X1) ) > X0 ) ).

tff(func_def_3776,type,
    sK2359: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( fun(X1,fun(X2,$o)) * fun(X0,$o) * fun(X2,fun(X1,X0)) ) > X2 ) ).

tff(func_def_3777,type,
    sK2360: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( fun(X1,fun(X2,$o)) * fun(X0,$o) * fun(X2,fun(X1,X0)) ) > X1 ) ).

tff(func_def_3778,type,
    sK2361: 
      !>[X0: $tType,X1: $tType] : ( ( X0 * product_prod(X0,X1) ) > X1 ) ).

tff(func_def_3779,type,
    sK2362: ( real * real * fun(real,real) ) > real ).

tff(func_def_3780,type,
    sK2363: ( fun(real,real) * fun(real,real) * real * real ) > real ).

tff(func_def_3781,type,
    sK2364: ( fun(real,real) * fun(real,real) * real * real ) > real ).

tff(func_def_3782,type,
    sK2365: ( fun(real,real) * real * real ) > real ).

tff(func_def_3783,type,
    sK2366: ( fun(real,real) * real * real ) > real ).

tff(func_def_3784,type,
    sK2367: ( real * real * fun(real,real) * fun(real,real) * fun(real,real) * fun(real,real) ) > real ).

tff(func_def_3785,type,
    sK2368: 
      !>[X0: $tType] : ( ( fun(X0,X0) * X0 * fun(X0,X0) ) > X0 ) ).

tff(func_def_3786,type,
    sK2369: 
      !>[X0: $tType] : ( ( fun(X0,X0) * X0 * X0 ) > fun(X0,X0) ) ).

tff(func_def_3787,type,
    sK2370: ( fun(real,real) * real ) > real ).

tff(func_def_3788,type,
    sK2371: ( real * real * fun(real,real) ) > real ).

tff(func_def_3789,type,
    sK2372: ( real * real * fun(real,real) ) > real ).

tff(func_def_3790,type,
    sK2373: ( real * real * fun(real,real) ) > real ).

tff(func_def_3791,type,
    sK2374: ( real * real * fun(real,real) ) > real ).

tff(func_def_3792,type,
    sK2375: ( fun(real,real) * fun(real,real) * real * real ) > real ).

tff(func_def_3793,type,
    sK2376: ( real * real * fun(real,real) * fun(real,real) ) > real ).

tff(func_def_3794,type,
    sK2377: ( fun(real,real) * real * set(real) ) > real ).

tff(func_def_3795,type,
    sK2378: ( fun(real,real) * real * set(real) ) > real ).

tff(func_def_3796,type,
    sK2379: ( fun(real,real) * real * set(real) ) > real ).

tff(func_def_3797,type,
    sK2380: ( fun(real,real) * real * set(real) ) > real ).

tff(func_def_3798,type,
    sK2381: ( fun(real,real) * real ) > real ).

tff(func_def_3799,type,
    sK2382: ( fun(real,real) * real ) > real ).

tff(func_def_3800,type,
    sK2383: ( fun(real,real) * real ) > real ).

tff(func_def_3801,type,
    sK2384: ( fun(real,real) * real ) > real ).

tff(func_def_3802,type,
    sK2385: ( fun(real,real) * real ) > real ).

tff(func_def_3803,type,
    sK2386: ( fun(real,real) * real ) > real ).

tff(func_def_3804,type,
    sK2387: 
      !>[X0: $tType] : ( ( fun(X0,$o) * set(filter(X0)) ) > set(filter(X0)) ) ).

tff(func_def_3805,type,
    sK2388: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,$o) * fun(X1,filter(X0)) * set(X1) ) > set(X1) ) ).

tff(func_def_3806,type,
    sK2389: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,filter(X1)) * fun(X0,fun(X1,$o)) ) > X0 ) ).

tff(func_def_3807,type,
    sK2390: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X1,$o) * fun(X0,fun(X1,$o)) ) > X1 ) ).

tff(func_def_3808,type,
    sK2391: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X1,$o) * fun(X0,filter(X1)) ) > fun(X0,fun(X1,$o)) ) ).

tff(func_def_3809,type,
    sK2392: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X1,$o) * fun(X0,filter(X1)) * X1 ) > X0 ) ).

tff(func_def_3810,type,
    sK2393: 
      !>[X0: $tType] : ( ( filter(X0) * filter(X0) ) > fun(X0,$o) ) ).

tff(func_def_3811,type,
    sK2394: 
      !>[X0: $tType] : ( ( filter(X0) * filter(X0) ) > fun(X0,$o) ) ).

tff(func_def_3812,type,
    sK2395: 
      !>[X0: $tType] : ( fun(X0,$o) > X0 ) ).

tff(func_def_3813,type,
    sK2396: 
      !>[X0: $tType] : ( ( fun(X0,$o) * fun(X0,$o) * fun(X0,$o) ) > X0 ) ).

tff(func_def_3814,type,
    sK2397: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( fun(X2,X1) * fun(X0,filter(X1)) * set(X0) * filter(X2) ) > X0 ) ).

tff(func_def_3815,type,
    sK2398: 
      !>[X0: $tType] : ( set(filter(X0)) > set(filter(X0)) ) ).

tff(func_def_3816,type,
    sK2399: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,filter(X1)) ) > set(X0) ) ).

tff(func_def_3817,type,
    sK2400: int > nat ).

tff(func_def_3818,type,
    sK2401: 
      !>[X0: $tType] : ( X0 > nat ) ).

tff(func_def_3819,type,
    sK2402: 
      !>[X0: $tType] : ( ( X0 * X0 ) > nat ) ).

tff(func_def_3820,type,
    sK2403: 
      !>[X0: $tType] : ( ( nat * X0 ) > X0 ) ).

tff(func_def_3821,type,
    sK2404: ( fun(real,fun(real,real)) * fun(real,real) * real * real ) > real ).

tff(func_def_3822,type,
    sK2405: ( real * real * fun(real,real) * fun(real,fun(real,real)) ) > real ).

tff(func_def_3823,type,
    sK2406: ( real * real * fun(real,real) ) > real ).

tff(func_def_3824,type,
    sK2407: ( real * real * fun(real,real) ) > real ).

tff(func_def_3825,type,
    sK2408: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( set(X0) * fun(X0,set(X2)) * fun(X2,X1) ) > X0 ) ).

tff(func_def_3826,type,
    sK2409: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,set(X1)) ) > X0 ) ).

tff(func_def_3827,type,
    sK2410: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * fun(X1,$o) ) > X1 ) ).

tff(func_def_3828,type,
    sK2411: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * fun(X1,$o) ) > X1 ) ).

tff(func_def_3829,type,
    sK2412: 
      !>[X0: $tType] : ( ( fun(X0,$o) * X0 ) > X0 ) ).

tff(func_def_3830,type,
    sK2413: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,$o) * fun(X0,$o) * fun(X0,X1) ) > X0 ) ).

tff(func_def_3831,type,
    sK2414: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * fun(X0,$o) * fun(X0,X1) ) > X0 ) ).

tff(func_def_3832,type,
    sK2415: 
      !>[X0: $tType] : ( ( X0 * X0 * fun(X0,$o) ) > X0 ) ).

tff(func_def_3833,type,
    sK2416: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_3834,type,
    sK2417: 
      !>[X0: $tType] : ( ( X0 * X0 * fun(X0,$o) ) > X0 ) ).

tff(func_def_3835,type,
    sK2418: ( real * real * fun(real,real) ) > real ).

tff(func_def_3836,type,
    sK2419: 
      !>[X0: $tType] : ( ( X0 * fun(X0,$o) ) > X0 ) ).

tff(func_def_3837,type,
    sK2420: 
      !>[X0: $tType] : ( ( X0 * fun(X0,$o) ) > X0 ) ).

tff(func_def_3838,type,
    sK2421: 
      !>[X0: $tType] : ( ( fun(X0,$o) * X0 ) > X0 ) ).

tff(func_def_3839,type,
    sK2422: 
      !>[X0: $tType] : ( ( fun(X0,$o) * X0 ) > X0 ) ).

tff(func_def_3840,type,
    sK2423: 
      !>[X0: $tType] : ( ( X0 * fun(X0,$o) ) > X0 ) ).

tff(func_def_3841,type,
    sK2424: 
      !>[X0: $tType] : ( ( X0 * fun(X0,$o) ) > X0 ) ).

tff(func_def_3842,type,
    sK2425: 
      !>[X0: $tType] : ( ( fun(X0,$o) * X0 ) > X0 ) ).

tff(func_def_3843,type,
    sK2426: 
      !>[X0: $tType] : ( ( fun(X0,$o) * X0 ) > X0 ) ).

tff(func_def_3844,type,
    sK2427: 
      !>[X0: $tType] : ( ( X0 * nat ) > nat ) ).

tff(func_def_3845,type,
    sK2428: complex > complex ).

tff(func_def_3846,type,
    sK2429: complex > real ).

tff(func_def_3847,type,
    sK2430: real > real ).

tff(func_def_3848,type,
    sK2431: 
      !>[X0: $tType] : ( list(X0) > list(X0) ) ).

tff(func_def_3849,type,
    sK2432: 
      !>[X0: $tType] : ( list(X0) > X0 ) ).

tff(func_def_3850,type,
    sK2433: 
      !>[X0: $tType] : ( list(X0) > list(X0) ) ).

tff(func_def_3851,type,
    sK2434: 
      !>[X0: $tType] : ( list(X0) > list(X0) ) ).

tff(func_def_3852,type,
    sK2435: 
      !>[X0: $tType] : ( list(X0) > list(X0) ) ).

tff(func_def_3853,type,
    sK2436: 
      !>[X0: $tType] : ( list(X0) > list(X0) ) ).

tff(func_def_3854,type,
    sK2437: 
      !>[X0: $tType] : ( list(X0) > X0 ) ).

tff(func_def_3855,type,
    sK2438: 
      !>[X0: $tType] : ( ( list(X0) * X0 ) > nat ) ).

tff(func_def_3856,type,
    sK2439: 
      !>[X0: $tType] : ( list(X0) > nat ) ).

tff(func_def_3857,type,
    sK2440: 
      !>[X0: $tType] : ( list(X0) > nat ) ).

tff(func_def_3858,type,
    sK2441: 
      !>[X0: $tType] : ( set(X0) > list(X0) ) ).

tff(func_def_3859,type,
    sK2442: ( option(num) * num * num ) > num ).

tff(func_def_3860,type,
    sK2443: ( option(num) * num * num ) > num ).

tff(func_def_3861,type,
    sK2444: ( option(num) * num * num ) > num ).

tff(func_def_3862,type,
    sK2445: ( option(num) * num * num ) > num ).

tff(func_def_3863,type,
    sK2446: ( option(num) * num * num ) > num ).

tff(func_def_3864,type,
    sK2447: ( option(num) * num * num ) > num ).

tff(func_def_3865,type,
    sK2448: ( option(num) * num * num ) > num ).

tff(func_def_3866,type,
    sK2449: ( option(num) * num * num ) > num ).

tff(func_def_3867,type,
    sK2450: ( option(num) * num ) > num ).

tff(func_def_3868,type,
    sK2451: ( option(num) * num ) > num ).

tff(func_def_3869,type,
    sK2452: ( num * num * option(num) ) > num ).

tff(func_def_3870,type,
    sK2453: ( num * num * option(num) ) > num ).

tff(func_def_3871,type,
    sK2454: 
      !>[X0: $tType,X1: $tType] : ( ( option(X1) * fun(X1,X0) * fun(X1,X0) ) > X1 ) ).

tff(func_def_3872,type,
    sK2455: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * option(X0) * X1 ) > X0 ) ).

tff(func_def_3873,type,
    sK2456: ( fun(real,real) * fun(real,real) * real * real ) > real ).

tff(func_def_3874,type,
    sK2457: ( real * real * fun(real,real) ) > real ).

tff(func_def_3875,type,
    sK2458: ( fun(real,real) * real * real ) > real ).

tff(func_def_3876,type,
    sK2459: ( fun(real,real) * real * real ) > real ).

tff(func_def_3877,type,
    sK2460: ( fun(real,real) * real * real * real ) > real ).

tff(func_def_3878,type,
    sK2461: ( real * real * fun(real,real) ) > real ).

tff(func_def_3879,type,
    sK2462: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_3880,type,
    sK2463: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,X0) * X0 ) > X1 ) ).

tff(func_def_3881,type,
    sK2464: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( set(X2) * fun(X0,X1) * set(X0) * fun(X2,X1) ) > X2 ) ).

tff(func_def_3882,type,
    sK2465: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_3883,type,
    sK2466: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_3884,type,
    sK2467: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_3885,type,
    sK2468: 
      !>[X0: $tType] : ( ( set(X0) * set(X0) ) > X0 ) ).

tff(func_def_3886,type,
    sK2469: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_3887,type,
    sK2470: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * X0 * fun(X1,X0) ) > X1 ) ).

tff(func_def_3888,type,
    sK2471: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * X0 * fun(X1,X0) ) > X1 ) ).

tff(func_def_3889,type,
    sK2472: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,set(X0)) ) > X1 ) ).

tff(func_def_3890,type,
    sK2473: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_3891,type,
    sK2474: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_3892,type,
    sK2475: fun(nat,real) > real ).

tff(func_def_3893,type,
    sK2476: ( fun(nat,real) * real ) > nat ).

tff(func_def_3894,type,
    sK2477: ( fun(nat,real) * real ) > nat ).

tff(func_def_3895,type,
    sK2478: 
      !>[X0: $tType] : ( fun(nat,X0) > nat ) ).

tff(func_def_3896,type,
    sK2479: 
      !>[X0: $tType] : ( fun(nat,X0) > nat ) ).

tff(func_def_3897,type,
    sK2480: 
      !>[X0: $tType] : ( fun(nat,X0) > nat ) ).

tff(func_def_3898,type,
    sK2481: 
      !>[X0: $tType] : ( fun(nat,X0) > nat ) ).

tff(func_def_3899,type,
    sK2482: 
      !>[X0: $tType,X1: $tType] : ( fun(X1,X0) > X1 ) ).

tff(func_def_3900,type,
    sK2483: 
      !>[X0: $tType,X1: $tType] : ( fun(X1,X0) > X1 ) ).

tff(func_def_3901,type,
    sK2484: 
      !>[X0: $tType,X1: $tType] : ( fun(X1,X0) > X1 ) ).

tff(func_def_3902,type,
    sK2485: 
      !>[X0: $tType,X1: $tType] : ( fun(X1,X0) > X1 ) ).

tff(func_def_3903,type,
    sK2486: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,X0) * fun(X1,X0) ) > X1 ) ).

tff(func_def_3904,type,
    sK2487: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,X1) * X1 ) > X0 ) ).

tff(func_def_3905,type,
    sK2488: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( set(X0) * fun(X2,X1) * set(X2) * fun(X0,X1) ) > X0 ) ).

tff(func_def_3906,type,
    sK2489: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_3907,type,
    sK2490: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_3908,type,
    sK2491: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_3909,type,
    sK2492: 
      !>[X0: $tType] : ( ( set(X0) * set(X0) ) > X0 ) ).

tff(func_def_3910,type,
    sK2493: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_3911,type,
    sK2494: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,X0) * X0 ) > X1 ) ).

tff(func_def_3912,type,
    sK2495: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,set(X0)) ) > X1 ) ).

tff(func_def_3913,type,
    sK2496: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_3914,type,
    sK2497: 
      !>[X0: $tType] : ( X0 > fun(nat,X0) ) ).

tff(func_def_3915,type,
    sK2498: 
      !>[X0: $tType] : ( X0 > fun(nat,X0) ) ).

tff(func_def_3916,type,
    sK2499: 
      !>[X0: $tType] : ( X0 > X0 ) ).

tff(func_def_3917,type,
    sK2500: 
      !>[X0: $tType] : ( ( X0 * X0 ) > X0 ) ).

tff(func_def_3918,type,
    sK2501: 
      !>[X0: $tType] : ( ( X0 * X0 ) > X0 ) ).

tff(func_def_3919,type,
    sK2502: 
      !>[X0: $tType] : ( ( X0 * X0 * X0 ) > X0 ) ).

tff(func_def_3920,type,
    sK2503: 
      !>[X0: $tType] : ( ( X0 * X0 * X0 ) > X0 ) ).

tff(func_def_3921,type,
    sK2504: 
      !>[X0: $tType] : ( ( fun(int,$o) * X0 ) > int ) ).

tff(func_def_3922,type,
    sK2505: 
      !>[X0: $tType] : ( X0 > int ) ).

tff(func_def_3923,type,
    sK2506: ( fun(real,$o) * nat * real ) > real ).

tff(func_def_3924,type,
    sK2507: complex > real ).

tff(func_def_3925,type,
    sK2508: complex > real ).

tff(func_def_3926,type,
    sK2509: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_3927,type,
    sK2510: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_3928,type,
    sK2511: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_3929,type,
    sK2512: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_3930,type,
    sK2513: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_3931,type,
    sK2514: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_3932,type,
    sK2515: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_3933,type,
    sK2516: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_3934,type,
    sK2517: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_3935,type,
    sK2518: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_3936,type,
    sK2519: 
      !>[X0: $tType] : ( ( set(X0) * set(X0) ) > X0 ) ).

tff(func_def_3937,type,
    sK2520: 
      !>[X0: $tType] : ( ( set(X0) * set(X0) ) > X0 ) ).

tff(func_def_3938,type,
    sK2521: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_3939,type,
    sK2522: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_3940,type,
    sK2523: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_3941,type,
    sK2524: ( set(nat) * nat ) > nat ).

tff(func_def_3942,type,
    sK2525: int > nat ).

tff(func_def_3943,type,
    sK2526: int > int ).

tff(func_def_3944,type,
    sK2527: 
      !>[X0: $tType,X1: $tType] : ( ( real * fun(X1,X0) * set(X1) * X1 * fun(X1,X0) * fun(X1,real) ) > X1 ) ).

tff(func_def_3945,type,
    sK2528: 
      !>[X0: $tType] : ( ( fun(X0,X0) * X0 ) > X0 ) ).

tff(func_def_3946,type,
    sK2529: 
      !>[X0: $tType] : ( ( fun(nat,X0) * X0 ) > set(X0) ) ).

tff(func_def_3947,type,
    sK2530: 
      !>[X0: $tType] : ( ( fun(nat,X0) * X0 * nat ) > nat ) ).

tff(func_def_3948,type,
    sK2531: 
      !>[X0: $tType] : ( ( fun(nat,X0) * set(X0) ) > nat ) ).

tff(func_def_3949,type,
    sK2532: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_3950,type,
    sK2533: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_3951,type,
    sK2534: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_3952,type,
    sK2535: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > set(X0) ) ).

tff(func_def_3953,type,
    sK2536: 
      !>[X0: $tType] : ( X0 > fun(nat,set(X0)) ) ).

tff(func_def_3954,type,
    sK2537: 
      !>[X0: $tType] : ( ( X0 * set(X0) ) > nat ) ).

tff(func_def_3955,type,
    sK2538: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,set(X0)) ) > X1 ) ).

tff(func_def_3956,type,
    sK2539: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,set(X0)) ) > X1 ) ).

tff(func_def_3957,type,
    sK2540: ( real * fun(real,real) ) > real ).

tff(func_def_3958,type,
    sK2541: 
      !>[X0: $tType] : ( ( fun(X0,$o) * X0 ) > X0 ) ).

tff(func_def_3959,type,
    sK2542: 
      !>[X0: $tType] : ( fun(X0,$o) > X0 ) ).

tff(func_def_3960,type,
    sK2543: real > real ).

tff(func_def_3961,type,
    sK2544: real > real ).

tff(func_def_3962,type,
    sK2545: real > real ).

tff(func_def_3963,type,
    sK2546: real > real ).

tff(func_def_3964,type,
    sK2547: real > real ).

tff(func_def_3965,type,
    sK2548: 
      !>[X0: $tType] : ( ( fun(X0,$o) * X0 ) > X0 ) ).

tff(func_def_3966,type,
    sK2549: 
      !>[X0: $tType] : ( ( fun(X0,$o) * X0 ) > X0 ) ).

tff(func_def_3967,type,
    sK2550: 
      !>[X0: $tType] : ( ( X0 * X0 ) > X0 ) ).

tff(func_def_3968,type,
    sK2551: 
      !>[X0: $tType] : ( ( X0 * X0 ) > X0 ) ).

tff(func_def_3969,type,
    sK2552: 
      !>[X0: $tType] : ( ( X0 * X0 ) > X0 ) ).

tff(func_def_3970,type,
    sK2553: 
      !>[X0: $tType] : ( ( X0 * X0 ) > X0 ) ).

tff(func_def_3971,type,
    sK2554: 
      !>[X0: $tType] : ( ( X0 * X0 ) > X0 ) ).

tff(func_def_3972,type,
    sK2555: 
      !>[X0: $tType] : ( ( X0 * X0 ) > X0 ) ).

tff(func_def_3973,type,
    sK2556: fun(num,$o) > num ).

tff(func_def_3974,type,
    sK2557: ( num * num * num ) > num ).

tff(func_def_3975,type,
    sK2558: ( num * num * num ) > num ).

tff(func_def_3976,type,
    sK2559: num > num ).

tff(func_def_3977,type,
    sK2560: ( num * num * num ) > num ).

tff(func_def_3978,type,
    sK2561: ( num * num * num ) > num ).

tff(func_def_3979,type,
    sK2562: ( num * num * num ) > num ).

tff(func_def_3980,type,
    sK2563: ( num * num * num ) > num ).

tff(func_def_3981,type,
    sK2564: num > num ).

tff(func_def_3982,type,
    sK2565: ( num * num ) > num ).

tff(func_def_3983,type,
    sK2566: ( num * num ) > num ).

tff(func_def_3984,type,
    sK2567: ( num * num * num ) > num ).

tff(func_def_3985,type,
    sK2568: ( num * num * num ) > num ).

tff(func_def_3986,type,
    sK2569: 
      !>[X0: $tType] : ( ( fun(nat,X0) * set(X0) ) > nat ) ).

tff(func_def_3987,type,
    sK2570: 
      !>[X0: $tType] : ( ( fun(nat,X0) * set(X0) ) > nat ) ).

tff(func_def_3988,type,
    sK2571: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * set(X1) ) > X0 ) ).

tff(func_def_3989,type,
    sK2572: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * set(X1) * X0 ) > X1 ) ).

tff(func_def_3990,type,
    sK2573: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_3991,type,
    sK2574: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_3992,type,
    sK2575: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * set(X0) * X1 ) > X1 ) ).

tff(func_def_3993,type,
    sK2576: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * set(X0) * X1 ) > X0 ) ).

tff(func_def_3994,type,
    sK2577: 
      !>[X0: $tType,X1: $tType] : ( ( X0 * fun(X1,X0) * set(X1) ) > X0 ) ).

tff(func_def_3995,type,
    sK2578: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * set(X1) * X0 ) > X1 ) ).

tff(func_def_3996,type,
    sK2579: 
      !>[X0: $tType,X1: $tType] : ( ( X0 * fun(X1,X0) * set(X1) ) > X1 ) ).

tff(func_def_3997,type,
    sK2580: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * set(X0) * X1 ) > X0 ) ).

tff(func_def_3998,type,
    sK2581: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * set(X0) ) > X1 ) ).

tff(func_def_3999,type,
    sK2582: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * set(X0) * X1 ) > X0 ) ).

tff(func_def_4000,type,
    sK2583: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_4001,type,
    sK2584: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_4002,type,
    sK2585: 
      !>[X0: $tType] : ( ( X0 * set(X0) ) > X0 ) ).

tff(func_def_4003,type,
    sK2586: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_4004,type,
    sK2587: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_4005,type,
    sK2588: 
      !>[X0: $tType] : ( ( X0 * set(X0) ) > X0 ) ).

tff(func_def_4006,type,
    sK2589: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_4007,type,
    sK2590: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_4008,type,
    sK2591: 
      !>[X0: $tType] : ( ( set(list(X0)) * list(X0) * list(X0) ) > X0 ) ).

tff(func_def_4009,type,
    sK2592: 
      !>[X0: $tType] : ( ( set(list(X0)) * list(X0) * list(X0) ) > list(X0) ) ).

tff(func_def_4010,type,
    sK2593: 
      !>[X0: $tType] : ( ( set(list(X0)) * list(X0) * list(X0) ) > X0 ) ).

tff(func_def_4011,type,
    sK2594: 
      !>[X0: $tType] : ( ( set(list(X0)) * list(X0) * list(X0) ) > list(X0) ) ).

tff(func_def_4012,type,
    sK2595: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) * list(X0) ) > X0 ) ).

tff(func_def_4013,type,
    sK2596: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) * list(X0) ) > list(X0) ) ).

tff(func_def_4014,type,
    sK2597: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) * list(X0) ) > X0 ) ).

tff(func_def_4015,type,
    sK2598: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) * list(X0) ) > list(X0) ) ).

tff(func_def_4016,type,
    sK2599: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) * list(X0) ) > X0 ) ).

tff(func_def_4017,type,
    sK2600: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) * list(X0) ) > list(X0) ) ).

tff(func_def_4018,type,
    sK2601: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) * list(X0) ) > X0 ) ).

tff(func_def_4019,type,
    sK2602: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) * list(X0) ) > list(X0) ) ).

tff(func_def_4020,type,
    sK2603: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,$o) * fun(X1,X0) * X0 ) > X1 ) ).

tff(func_def_4021,type,
    sK2604: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,$o) * fun(X1,X0) ) > X0 ) ).

tff(func_def_4022,type,
    sK2605: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,$o) * fun(X1,X0) * X0 ) > X1 ) ).

tff(func_def_4023,type,
    sK2606: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,$o) * fun(X1,X0) ) > X0 ) ).

tff(func_def_4024,type,
    sK2607: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,$o) * fun(X1,X0) * X0 ) > X1 ) ).

tff(func_def_4025,type,
    sK2608: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,$o) * fun(X1,X0) ) > X0 ) ).

tff(func_def_4026,type,
    sK2609: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,$o) * fun(X1,X0) * X0 ) > X1 ) ).

tff(func_def_4027,type,
    sK2610: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,$o) * fun(X1,X0) ) > X0 ) ).

tff(func_def_4028,type,
    sK2611: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,$o) * fun(X1,X0) * X0 * set(X0) * set(X0) ) > X1 ) ).

tff(func_def_4029,type,
    sK2612: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,$o) * fun(X1,X0) * X0 * set(X0) ) > set(X0) ) ).

tff(func_def_4030,type,
    sK2613: 
      !>[X0: $tType] : ( ( fun(nat,X0) * X0 ) > real ) ).

tff(func_def_4031,type,
    sK2614: 
      !>[X0: $tType] : ( ( fun(nat,X0) * X0 * nat ) > nat ) ).

tff(func_def_4032,type,
    sK2615: 
      !>[X0: $tType] : ( ( fun(nat,X0) * X0 * real ) > nat ) ).

tff(func_def_4033,type,
    sK2616: 
      !>[X0: $tType] : ( ( fun(nat,X0) * X0 * real ) > nat ) ).

tff(func_def_4034,type,
    sK2617: 
      !>[X0: $tType] : ( ( fun(nat,X0) * X0 ) > real ) ).

tff(func_def_4035,type,
    sK2618: 
      !>[X0: $tType] : ( ( fun(nat,X0) * X0 * nat ) > nat ) ).

tff(func_def_4036,type,
    sK2619: 
      !>[X0: $tType] : ( ( fun(nat,X0) * X0 ) > real ) ).

tff(func_def_4037,type,
    sK2620: 
      !>[X0: $tType] : ( ( fun(nat,X0) * X0 * nat ) > nat ) ).

tff(func_def_4038,type,
    sK2621: 
      !>[X0: $tType] : ( ( fun(nat,X0) * X0 * real ) > nat ) ).

tff(func_def_4039,type,
    sK2622: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * X1 * set(X1) * real * fun(X1,X0) ) > X1 ) ).

tff(func_def_4040,type,
    sK2623: 
      !>[X0: $tType] : ( ( fun(X0,$o) * X0 * set(X0) * real ) > X0 ) ).

tff(func_def_4041,type,
    sK2624: 
      !>[X0: $tType] : ( ( fun(X0,$o) * X0 * set(X0) ) > real ) ).

tff(func_def_4042,type,
    sK2625: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( fun(X2,X0) * X0 * X2 * fun(X2,X1) * X1 ) > X2 ) ).

tff(func_def_4043,type,
    sK2626: 
      !>[X0: $tType] : ( ( fun(nat,X0) * real * nat ) > nat ) ).

tff(func_def_4044,type,
    sK2627: 
      !>[X0: $tType] : ( fun(nat,X0) > real ) ).

tff(func_def_4045,type,
    sK2628: 
      !>[X0: $tType] : ( fun(nat,X0) > nat ) ).

tff(func_def_4046,type,
    sK2629: 
      !>[X0: $tType] : ( ( fun(nat,X0) * real * X0 ) > nat ) ).

tff(func_def_4047,type,
    sK2630: 
      !>[X0: $tType] : ( fun(nat,X0) > real ) ).

tff(func_def_4048,type,
    sK2631: 
      !>[X0: $tType] : ( fun(nat,X0) > X0 ) ).

tff(func_def_4049,type,
    sK2632: 
      !>[X0: $tType] : ( ( fun(nat,X0) * nat ) > nat ) ).

tff(func_def_4050,type,
    sK2633: 
      !>[X0: $tType] : ( fun(nat,X0) > nat ) ).

tff(func_def_4051,type,
    sK2634: 
      !>[X0: $tType] : ( ( fun(nat,X0) * nat ) > nat ) ).

tff(func_def_4052,type,
    sK2635: 
      !>[X0: $tType] : ( fun(nat,X0) > nat ) ).

tff(func_def_4053,type,
    sK2636: 
      !>[X0: $tType] : ( ( fun(nat,X0) * real ) > nat ) ).

tff(func_def_4054,type,
    sK2637: 
      !>[X0: $tType] : ( fun(nat,X0) > real ) ).

tff(func_def_4055,type,
    sK2638: 
      !>[X0: $tType] : ( ( real * fun(nat,X0) ) > nat ) ).

tff(func_def_4056,type,
    sK2639: 
      !>[X0: $tType] : ( fun(nat,X0) > real ) ).

tff(func_def_4057,type,
    sK2640: 
      !>[X0: $tType] : ( fun(nat,X0) > real ) ).

tff(func_def_4058,type,
    sK2641: 
      !>[X0: $tType] : ( ( fun(nat,X0) * real ) > nat ) ).

tff(func_def_4059,type,
    sK2642: 
      !>[X0: $tType] : ( ( fun(X0,$o) * X0 ) > X0 ) ).

tff(func_def_4060,type,
    sK2643: 
      !>[X0: $tType] : ( fun(X0,$o) > X0 ) ).

tff(func_def_4061,type,
    sK2644: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_4062,type,
    sK2645: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_4063,type,
    sK2646: 
      !>[X0: $tType] : ( X0 > X0 ) ).

tff(func_def_4064,type,
    sK2647: 
      !>[X0: $tType] : ( ( fun(X0,$o) * X0 ) > X0 ) ).

tff(func_def_4065,type,
    sK2648: 
      !>[X0: $tType] : ( fun(X0,$o) > X0 ) ).

tff(func_def_4066,type,
    sK2649: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_4067,type,
    sK2650: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_4068,type,
    sK2651: 
      !>[X0: $tType] : ( X0 > X0 ) ).

tff(func_def_4069,type,
    sK2652: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * X0 * X1 * set(X1) ) > fun(nat,X1) ) ).

tff(func_def_4070,type,
    sK2653: 
      !>[X0: $tType] : ( ( X0 * set(X0) * fun(nat,X0) ) > nat ) ).

tff(func_def_4071,type,
    sK2654: complex > real ).

tff(func_def_4072,type,
    sK2655: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * real ) > X1 ) ).

tff(func_def_4073,type,
    sK2656: 
      !>[X0: $tType,X1: $tType] : ( fun(X1,X0) > real ) ).

tff(func_def_4074,type,
    sK2657: 
      !>[X0: $tType,X1: $tType] : ( fun(X1,X0) > X1 ) ).

tff(func_def_4075,type,
    sK2658: 
      !>[X0: $tType,X1: $tType] : ( fun(X1,X0) > X1 ) ).

tff(func_def_4076,type,
    sK2659: 
      !>[X0: $tType,X1: $tType] : ( fun(X1,X0) > X1 ) ).

tff(func_def_4077,type,
    sK2660: 
      !>[X0: $tType,X1: $tType] : ( fun(X1,X0) > real ) ).

tff(func_def_4078,type,
    sK2661: 
      !>[X0: $tType,X1: $tType] : ( fun(X1,X0) > real ) ).

tff(func_def_4079,type,
    sK2662: ( fun(real,real) * real ) > real ).

tff(func_def_4080,type,
    sK2663: fun(real,real) > real ).

tff(func_def_4081,type,
    sK2664: 
      !>[X0: $tType,X1: $tType] : ( fun(X1,X0) > real ) ).

tff(func_def_4082,type,
    sK2665: 
      !>[X0: $tType] : ( ( fun(X0,$o) * real ) > X0 ) ).

tff(func_def_4083,type,
    sK2666: 
      !>[X0: $tType] : ( fun(X0,$o) > real ) ).

tff(func_def_4084,type,
    sK2667: 
      !>[X0: $tType] : ( ( fun(X0,$o) * real ) > X0 ) ).

tff(func_def_4085,type,
    sK2668: 
      !>[X0: $tType] : ( fun(X0,$o) > real ) ).

tff(func_def_4086,type,
    sK2669: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_4087,type,
    sK2670: 
      !>[X0: $tType] : ( X0 > X0 ) ).

tff(func_def_4088,type,
    sK2671: 
      !>[X0: $tType] : ( X0 > X0 ) ).

tff(func_def_4089,type,
    sK2672: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) * list(X0) ) > X0 ) ).

tff(func_def_4090,type,
    sK2673: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) * list(X0) ) > list(X0) ) ).

tff(func_def_4091,type,
    sK2674: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) ) > nat ) ).

tff(func_def_4092,type,
    sK2675: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) ) > list(X0) ) ).

tff(func_def_4093,type,
    sK2676: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) ) > nat ) ).

tff(func_def_4094,type,
    sK2677: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) ) > nat ) ).

tff(func_def_4095,type,
    sK2678: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) ) > list(X0) ) ).

tff(func_def_4096,type,
    sK2679: 
      !>[X0: $tType] : ( ( list(X0) * X0 ) > X0 ) ).

tff(func_def_4097,type,
    sK2680: 
      !>[X0: $tType] : ( ( list(X0) * X0 ) > X0 ) ).

tff(func_def_4098,type,
    sK2681: 
      !>[X0: $tType] : ( ( nat * X0 * fun(X0,$o) ) > X0 ) ).

tff(func_def_4099,type,
    sK2682: 
      !>[X0: $tType] : ( ( nat * X0 * fun(X0,$o) ) > X0 ) ).

tff(func_def_4100,type,
    sK2683: 
      !>[X0: $tType] : ( ( list(list(X0)) * list(X0) * list(X0) ) > list(list(X0)) ) ).

tff(func_def_4101,type,
    sK2684: 
      !>[X0: $tType] : ( ( list(list(X0)) * list(X0) * list(X0) ) > list(X0) ) ).

tff(func_def_4102,type,
    sK2685: 
      !>[X0: $tType] : ( ( list(list(X0)) * list(X0) * list(X0) ) > list(X0) ) ).

tff(func_def_4103,type,
    sK2686: 
      !>[X0: $tType] : ( ( list(list(X0)) * list(X0) * list(X0) ) > list(list(X0)) ) ).

tff(func_def_4104,type,
    sK2687: 
      !>[X0: $tType] : ( list(list(X0)) > list(X0) ) ).

tff(func_def_4105,type,
    sK2688: 
      !>[X0: $tType] : ( list(list(X0)) > list(X0) ) ).

tff(func_def_4106,type,
    sK2689: 
      !>[X0: $tType] : ( list(list(X0)) > list(X0) ) ).

tff(func_def_4107,type,
    sK2690: 
      !>[X0: $tType] : ( list(list(X0)) > list(X0) ) ).

tff(func_def_4108,type,
    sK2691: 
      !>[X0: $tType] : ( list(list(X0)) > list(X0) ) ).

tff(func_def_4109,type,
    sK2692: 
      !>[X0: $tType] : ( list(list(X0)) > list(X0) ) ).

tff(func_def_4110,type,
    sK2693: 
      !>[X0: $tType] : ( list(list(X0)) > list(X0) ) ).

tff(func_def_4111,type,
    sK2694: 
      !>[X0: $tType] : ( list(list(X0)) > list(X0) ) ).

tff(func_def_4112,type,
    sK2695: 
      !>[X0: $tType] : ( ( list(list(X0)) * nat ) > list(X0) ) ).

tff(func_def_4113,type,
    sK2696: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_4114,type,
    sK2697: 
      !>[X0: $tType] : ( ( X0 * list(X0) * list(X0) ) > list(X0) ) ).

tff(func_def_4115,type,
    sK2698: 
      !>[X0: $tType] : ( ( X0 * list(X0) * list(X0) ) > list(X0) ) ).

tff(func_def_4116,type,
    sK2699: 
      !>[X0: $tType,X1: $tType] : ( ( list(X1) * fun(X1,X0) * X1 ) > X1 ) ).

tff(pred_def_1,type,
    bounded_lattice: 
      !>[X0: $tType] : $o ).

tff(pred_def_2,type,
    type: 
      !>[X0: $tType] : $o ).

tff(pred_def_3,type,
    size: 
      !>[X0: $tType] : $o ).

tff(pred_def_4,type,
    dvd: 
      !>[X0: $tType] : $o ).

tff(pred_def_5,type,
    one: 
      !>[X0: $tType] : $o ).

tff(pred_def_6,type,
    idom: 
      !>[X0: $tType] : $o ).

tff(pred_def_7,type,
    ring: 
      !>[X0: $tType] : $o ).

tff(pred_def_8,type,
    plus: 
      !>[X0: $tType] : $o ).

tff(pred_def_9,type,
    zero: 
      !>[X0: $tType] : $o ).

tff(pred_def_10,type,
    numeral: 
      !>[X0: $tType] : $o ).

tff(pred_def_11,type,
    power: 
      !>[X0: $tType] : $o ).

tff(pred_def_12,type,
    field: 
      !>[X0: $tType] : $o ).

tff(pred_def_13,type,
    ring_gcd: 
      !>[X0: $tType] : $o ).

tff(pred_def_14,type,
    minus: 
      !>[X0: $tType] : $o ).

tff(pred_def_15,type,
    abs_if: 
      !>[X0: $tType] : $o ).

tff(pred_def_16,type,
    ring_1: 
      !>[X0: $tType] : $o ).

tff(pred_def_17,type,
    uminus: 
      !>[X0: $tType] : $o ).

tff(pred_def_18,type,
    ord: 
      !>[X0: $tType] : $o ).

tff(pred_def_19,type,
    inverse: 
      !>[X0: $tType] : $o ).

tff(pred_def_20,type,
    semiring: 
      !>[X0: $tType] : $o ).

tff(pred_def_21,type,
    ring_char_0: 
      !>[X0: $tType] : $o ).

tff(pred_def_22,type,
    neg_numeral: 
      !>[X0: $tType] : $o ).

tff(pred_def_23,type,
    order: 
      !>[X0: $tType] : $o ).

tff(pred_def_24,type,
    comm_ring: 
      !>[X0: $tType] : $o ).

tff(pred_def_25,type,
    mult_zero: 
      !>[X0: $tType] : $o ).

tff(pred_def_26,type,
    semiring_Gcd: 
      !>[X0: $tType] : $o ).

tff(pred_def_27,type,
    semiring_gcd: 
      !>[X0: $tType] : $o ).

tff(pred_def_28,type,
    group_add: 
      !>[X0: $tType] : $o ).

tff(pred_def_29,type,
    lattice: 
      !>[X0: $tType] : $o ).

tff(pred_def_30,type,
    no_bot: 
      !>[X0: $tType] : $o ).

tff(pred_def_31,type,
    no_top: 
      !>[X0: $tType] : $o ).

tff(pred_def_32,type,
    semiring_0: 
      !>[X0: $tType] : $o ).

tff(pred_def_33,type,
    semiring_1: 
      !>[X0: $tType] : $o ).

tff(pred_def_34,type,
    finite_finite: 
      !>[X0: $tType] : $o ).

tff(pred_def_35,type,
    monoid_add: 
      !>[X0: $tType] : $o ).

tff(pred_def_36,type,
    comm_ring_1: 
      !>[X0: $tType] : $o ).

tff(pred_def_37,type,
    idom_divide: 
      !>[X0: $tType] : $o ).

tff(pred_def_38,type,
    idom_modulo: 
      !>[X0: $tType] : $o ).

tff(pred_def_39,type,
    ln: 
      !>[X0: $tType] : $o ).

tff(pred_def_40,type,
    monoid_mult: 
      !>[X0: $tType] : $o ).

tff(pred_def_41,type,
    linorder: 
      !>[X0: $tType] : $o ).

tff(pred_def_42,type,
    preorder: 
      !>[X0: $tType] : $o ).

tff(pred_def_43,type,
    ring_parity: 
      !>[X0: $tType] : $o ).

tff(pred_def_44,type,
    idom_abs_sgn: 
      !>[X0: $tType] : $o ).

tff(pred_def_45,type,
    ordered_ring: 
      !>[X0: $tType] : $o ).

tff(pred_def_46,type,
    zero_neq_one: 
      !>[X0: $tType] : $o ).

tff(pred_def_47,type,
    field_char_0: 
      !>[X0: $tType] : $o ).

tff(pred_def_48,type,
    ab_group_add: 
      !>[X0: $tType] : $o ).

tff(pred_def_49,type,
    semiring_char_0: 
      !>[X0: $tType] : $o ).

tff(pred_def_50,type,
    order_bot: 
      !>[X0: $tType] : $o ).

tff(pred_def_51,type,
    order_top: 
      !>[X0: $tType] : $o ).

tff(pred_def_52,type,
    wellorder: 
      !>[X0: $tType] : $o ).

tff(pred_def_53,type,
    comm_semiring: 
      !>[X0: $tType] : $o ).

tff(pred_def_54,type,
    zero_less_one: 
      !>[X0: $tType] : $o ).

tff(pred_def_55,type,
    division_ring: 
      !>[X0: $tType] : $o ).

tff(pred_def_56,type,
    field_abs_sgn: 
      !>[X0: $tType] : $o ).

tff(pred_def_57,type,
    semigroup_add: 
      !>[X0: $tType] : $o ).

tff(pred_def_58,type,
    semiring_numeral: 
      !>[X0: $tType] : $o ).

tff(pred_def_59,type,
    semidom_divide: 
      !>[X0: $tType] : $o ).

tff(pred_def_60,type,
    semidom_modulo: 
      !>[X0: $tType] : $o ).

tff(pred_def_61,type,
    complete_Inf: 
      !>[X0: $tType] : $o ).

tff(pred_def_62,type,
    complete_Sup: 
      !>[X0: $tType] : $o ).

tff(pred_def_63,type,
    semigroup_mult: 
      !>[X0: $tType] : $o ).

tff(pred_def_64,type,
    dense_order: 
      !>[X0: $tType] : $o ).

tff(pred_def_65,type,
    comm_semiring_0: 
      !>[X0: $tType] : $o ).

tff(pred_def_66,type,
    comm_semiring_1: 
      !>[X0: $tType] : $o ).

tff(pred_def_67,type,
    linordered_idom: 
      !>[X0: $tType] : $o ).

tff(pred_def_68,type,
    linordered_ring: 
      !>[X0: $tType] : $o ).

tff(pred_def_69,type,
    semiring_modulo: 
      !>[X0: $tType] : $o ).

tff(pred_def_70,type,
    comm_monoid_add: 
      !>[X0: $tType] : $o ).

tff(pred_def_71,type,
    semiring_parity: 
      !>[X0: $tType] : $o ).

tff(pred_def_72,type,
    ordered_ring_abs: 
      !>[X0: $tType] : $o ).

tff(pred_def_73,type,
    ordered_semiring: 
      !>[X0: $tType] : $o ).

tff(pred_def_74,type,
    linordered_field: 
      !>[X0: $tType] : $o ).

tff(pred_def_75,type,
    ab_semigroup_add: 
      !>[X0: $tType] : $o ).

tff(pred_def_76,type,
    comm_monoid_diff: 
      !>[X0: $tType] : $o ).

tff(pred_def_77,type,
    comm_monoid_mult: 
      !>[X0: $tType] : $o ).

tff(pred_def_78,type,
    algebraic_semidom: 
      !>[X0: $tType] : $o ).

tff(pred_def_79,type,
    semiring_1_cancel: 
      !>[X0: $tType] : $o ).

tff(pred_def_80,type,
    ab_semigroup_mult: 
      !>[X0: $tType] : $o ).

tff(pred_def_81,type,
    distrib_lattice: 
      !>[X0: $tType] : $o ).

tff(pred_def_82,type,
    semilattice_inf: 
      !>[X0: $tType] : $o ).

tff(pred_def_83,type,
    semilattice_sup: 
      !>[X0: $tType] : $o ).

tff(pred_def_84,type,
    dense_linorder: 
      !>[X0: $tType] : $o ).

tff(pred_def_85,type,
    linordered_semidom: 
      !>[X0: $tType] : $o ).

tff(pred_def_86,type,
    ordered_semiring_0: 
      !>[X0: $tType] : $o ).

tff(pred_def_87,type,
    real_Vector_banach: 
      !>[X0: $tType] : $o ).

tff(pred_def_88,type,
    linordered_semiring: 
      !>[X0: $tType] : $o ).

tff(pred_def_89,type,
    finite8700451911770168679attice: 
      !>[X0: $tType] : $o ).

tff(pred_def_90,type,
    cancel_semigroup_add: 
      !>[X0: $tType] : $o ).

tff(pred_def_91,type,
    ordered_ab_group_add: 
      !>[X0: $tType] : $o ).

tff(pred_def_92,type,
    linord6961819062388156250ring_1: 
      !>[X0: $tType] : $o ).

tff(pred_def_93,type,
    ordere2520102378445227354miring: 
      !>[X0: $tType] : $o ).

tff(pred_def_94,type,
    topological_t1_space: 
      !>[X0: $tType] : $o ).

tff(pred_def_95,type,
    topological_t2_space: 
      !>[X0: $tType] : $o ).

tff(pred_def_96,type,
    bit_semiring_bits: 
      !>[X0: $tType] : $o ).

tff(pred_def_97,type,
    topolo1633459387980952147up_add: 
      !>[X0: $tType] : $o ).

tff(pred_def_98,type,
    real_V6936659425649961206t_norm: 
      !>[X0: $tType] : $o ).

tff(pred_def_99,type,
    comm_s4317794764714335236cancel: 
      !>[X0: $tType] : $o ).

tff(pred_def_100,type,
    linord4710134922213307826strict: 
      !>[X0: $tType] : $o ).

tff(pred_def_101,type,
    cancel1802427076303600483id_add: 
      !>[X0: $tType] : $o ).

tff(pred_def_102,type,
    topolo6943815403480290642id_add: 
      !>[X0: $tType] : $o ).

tff(pred_def_103,type,
    real_V7773925162809079976_field: 
      !>[X0: $tType] : $o ).

tff(pred_def_104,type,
    ring_15535105094025558882visors: 
      !>[X0: $tType] : $o ).

tff(pred_def_105,type,
    cancel2418104881723323429up_add: 
      !>[X0: $tType] : $o ).

tff(pred_def_106,type,
    linord5086331880401160121up_add: 
      !>[X0: $tType] : $o ).

tff(pred_def_107,type,
    ordere6911136660526730532id_add: 
      !>[X0: $tType] : $o ).

tff(pred_def_108,type,
    topolo1898628316856586783d_mult: 
      !>[X0: $tType] : $o ).

tff(pred_def_109,type,
    real_V4867850818363320053vector: 
      !>[X0: $tType] : $o ).

tff(pred_def_110,type,
    archim2362893244070406136eiling: 
      !>[X0: $tType] : $o ).

tff(pred_def_111,type,
    semiri6843258321239162965malize: 
      !>[X0: $tType] : $o ).

tff(pred_def_112,type,
    ordere166539214618696060dd_abs: 
      !>[X0: $tType] : $o ).

tff(pred_def_113,type,
    ordere6658533253407199908up_add: 
      !>[X0: $tType] : $o ).

tff(pred_def_114,type,
    topolo1287966508704411220up_add: 
      !>[X0: $tType] : $o ).

tff(pred_def_115,type,
    real_V7819770556892013058_space: 
      !>[X0: $tType] : $o ).

tff(pred_def_116,type,
    real_V6157519004096292374lgebra: 
      !>[X0: $tType] : $o ).

tff(pred_def_117,type,
    semiri3467727345109120633visors: 
      !>[X0: $tType] : $o ).

tff(pred_def_118,type,
    boolea8198339166811842893lgebra: 
      !>[X0: $tType] : $o ).

tff(pred_def_119,type,
    linord8928482502909563296strict: 
      !>[X0: $tType] : $o ).

tff(pred_def_120,type,
    topolo8386298272705272623_space: 
      !>[X0: $tType] : $o ).

tff(pred_def_121,type,
    topolo7287701948861334536_space: 
      !>[X0: $tType] : $o ).

tff(pred_def_122,type,
    euclid5891614535332579305n_ring: 
      !>[X0: $tType] : $o ).

tff(pred_def_123,type,
    topolo4211221413907600880p_mult: 
      !>[X0: $tType] : $o ).

tff(pred_def_124,type,
    real_V8037385150606011577_space: 
      !>[X0: $tType] : $o ).

tff(pred_def_125,type,
    real_V2191834092415804123ebra_1: 
      !>[X0: $tType] : $o ).

tff(pred_def_126,type,
    linord181362715937106298miring: 
      !>[X0: $tType] : $o ).

tff(pred_def_127,type,
    semiri2026040879449505780visors: 
      !>[X0: $tType] : $o ).

tff(pred_def_128,type,
    topolo2564578578187576103pology: 
      !>[X0: $tType] : $o ).

tff(pred_def_129,type,
    bit_ri3973907225187159222ations: 
      !>[X0: $tType] : $o ).

tff(pred_def_130,type,
    comple6319245703460814977attice: 
      !>[X0: $tType] : $o ).

tff(pred_def_131,type,
    linord4140545234300271783up_add: 
      !>[X0: $tType] : $o ).

tff(pred_def_132,type,
    topolo5987344860129210374id_add: 
      !>[X0: $tType] : $o ).

tff(pred_def_133,type,
    unboun7993243217541854897norder: 
      !>[X0: $tType] : $o ).

tff(pred_def_134,type,
    real_V768167426530841204y_dist: 
      !>[X0: $tType] : $o ).

tff(pred_def_135,type,
    linord715952674999750819strict: 
      !>[X0: $tType] : $o ).

tff(pred_def_136,type,
    topolo569519726778239578ormity: 
      !>[X0: $tType] : $o ).

tff(pred_def_137,type,
    archim462609752435547400_field: 
      !>[X0: $tType] : $o ).

tff(pred_def_138,type,
    comple5582772986160207858norder: 
      !>[X0: $tType] : $o ).

tff(pred_def_139,type,
    topolo4987421752381908075d_mult: 
      !>[X0: $tType] : $o ).

tff(pred_def_140,type,
    real_V5047593784448816457lgebra: 
      !>[X0: $tType] : $o ).

tff(pred_def_141,type,
    bounde4346867609351753570nf_top: 
      !>[X0: $tType] : $o ).

tff(pred_def_142,type,
    bounde4967611905675639751up_bot: 
      !>[X0: $tType] : $o ).

tff(pred_def_143,type,
    real_V3459762299906320749_field: 
      !>[X0: $tType] : $o ).

tff(pred_def_144,type,
    topolo8865339358273720382pology: 
      !>[X0: $tType] : $o ).

tff(pred_def_145,type,
    topolo1944317154257567458pology: 
      !>[X0: $tType] : $o ).

tff(pred_def_146,type,
    topolo4958980785337419405_space: 
      !>[X0: $tType] : $o ).

tff(pred_def_147,type,
    euclid3725896446679973847miring: 
      !>[X0: $tType] : $o ).

tff(pred_def_148,type,
    canoni5634975068530333245id_add: 
      !>[X0: $tType] : $o ).

tff(pred_def_149,type,
    ordere8940638589300402666id_add: 
      !>[X0: $tType] : $o ).

tff(pred_def_150,type,
    strict7427464778891057005id_add: 
      !>[X0: $tType] : $o ).

tff(pred_def_151,type,
    real_V822414075346904944vector: 
      !>[X0: $tType] : $o ).

tff(pred_def_152,type,
    linord2810124833399127020strict: 
      !>[X0: $tType] : $o ).

tff(pred_def_153,type,
    bit_se359711467146920520ations: 
      !>[X0: $tType] : $o ).

tff(pred_def_154,type,
    ordere2412721322843649153imp_le: 
      !>[X0: $tType] : $o ).

tff(pred_def_155,type,
    ordere580206878836729694up_add: 
      !>[X0: $tType] : $o ).

tff(pred_def_156,type,
    ordere1170586879665033532d_diff: 
      !>[X0: $tType] : $o ).

tff(pred_def_157,type,
    strict9044650504122735259up_add: 
      !>[X0: $tType] : $o ).

tff(pred_def_158,type,
    real_V5355595471888546746vector: 
      !>[X0: $tType] : $o ).

tff(pred_def_159,type,
    real_V4412858255891104859lgebra: 
      !>[X0: $tType] : $o ).

tff(pred_def_160,type,
    semiri6575147826004484403cancel: 
      !>[X0: $tType] : $o ).

tff(pred_def_161,type,
    euclid8851590272496341667cancel: 
      !>[X0: $tType] : $o ).

tff(pred_def_162,type,
    real_V2822296259951069270ebra_1: 
      !>[X0: $tType] : $o ).

tff(pred_def_163,type,
    unique1627219031080169319umeral: 
      !>[X0: $tType] : $o ).

tff(pred_def_164,type,
    comple489889107523837845lgebra: 
      !>[X0: $tType] : $o ).

tff(pred_def_165,type,
    comple592849572758109894attice: 
      !>[X0: $tType] : $o ).

tff(pred_def_166,type,
    real_V8999393235501362500lgebra: 
      !>[X0: $tType] : $o ).

tff(pred_def_167,type,
    topolo3112930676232923870pology: 
      !>[X0: $tType] : $o ).

tff(pred_def_168,type,
    euclid4440199948858584721cancel: 
      !>[X0: $tType] : $o ).

tff(pred_def_169,type,
    euclid3128863361964157862miring: 
      !>[X0: $tType] : $o ).

tff(pred_def_170,type,
    topolo8458572112393995274pology: 
      !>[X0: $tType] : $o ).

tff(pred_def_171,type,
    ordere1937475149494474687imp_le: 
      !>[X0: $tType] : $o ).

tff(pred_def_172,type,
    condit5016429287641298734tinuum: 
      !>[X0: $tType] : $o ).

tff(pred_def_173,type,
    euclid8789492081693882211th_nat: 
      !>[X0: $tType] : $o ).

tff(pred_def_174,type,
    euclid5411537665997757685th_nat: 
      !>[X0: $tType] : $o ).

tff(pred_def_175,type,
    counta3822494911875563373attice: 
      !>[X0: $tType] : $o ).

tff(pred_def_176,type,
    semiri1453513574482234551roduct: 
      !>[X0: $tType] : $o ).

tff(pred_def_177,type,
    bit_un5681908812861735899ations: 
      !>[X0: $tType] : $o ).

tff(pred_def_178,type,
    condit1219197933456340205attice: 
      !>[X0: $tType] : $o ).

tff(pred_def_179,type,
    condit6923001295902523014norder: 
      !>[X0: $tType] : $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,
    boolea3799213064322606851m_diff: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,X0)) * fun(X0,fun(X0,X0)) * fun(X0,X0) * X0 * X0 * fun(X0,fun(X0,X0)) ) > $o ) ).

tff(pred_def_182,type,
    condit941137186595557371_above: 
      !>[X0: $tType] : ( set(X0) > $o ) ).

tff(pred_def_183,type,
    condit1013018076250108175_below: 
      !>[X0: $tType] : ( set(X0) > $o ) ).

tff(pred_def_184,type,
    differentiable: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * filter(X0) ) > $o ) ).

tff(pred_def_185,type,
    has_derivative: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * fun(X0,X1) * filter(X0) ) > $o ) ).

tff(pred_def_186,type,
    has_field_derivative: 
      !>[X0: $tType] : ( ( fun(X0,X0) * X0 * filter(X0) ) > $o ) ).

tff(pred_def_187,type,
    eucl_rel_int: ( int * int * product_prod(int,int) ) > $o ).

tff(pred_def_188,type,
    unique5940410009612947441es_aux: 
      !>[X0: $tType] : ( product_prod(X0,X0) > $o ) ).

tff(pred_def_189,type,
    eventually: 
      !>[X0: $tType] : ( ( fun(X0,$o) * filter(X0) ) > $o ) ).

tff(pred_def_190,type,
    filterlim: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * filter(X1) * filter(X0) ) > $o ) ).

tff(pred_def_191,type,
    bij_betw: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * set(X0) * set(X1) ) > $o ) ).

tff(pred_def_192,type,
    strict_mono_on: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * set(X0) ) > $o ) ).

tff(pred_def_193,type,
    nO_MATCH: 
      !>[X0: $tType,X1: $tType] : ( ( X0 * X1 ) > $o ) ).

tff(pred_def_194,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_195,type,
    bfun: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * filter(X0) ) > $o ) ).

tff(pred_def_196,type,
    distinct: 
      !>[X0: $tType] : ( list(X0) > $o ) ).

tff(pred_def_197,type,
    lexordp: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,$o)) * list(X0) * list(X0) ) > $o ) ).

tff(pred_def_198,type,
    listrel1p: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,$o)) * list(X0) * list(X0) ) > $o ) ).

tff(pred_def_199,type,
    ring_1_iszero: 
      !>[X0: $tType] : ( X0 > $o ) ).

tff(pred_def_200,type,
    order_antimono: 
      !>[X0: $tType,X1: $tType] : ( fun(X0,X1) > $o ) ).

tff(pred_def_201,type,
    real_V3181309239436604168linear: 
      !>[X0: $tType,X1: $tType] : ( fun(X0,X1) > $o ) ).

tff(pred_def_202,type,
    real_V4916620083959148203axioms: 
      !>[X0: $tType,X1: $tType] : ( fun(X0,X1) > $o ) ).

tff(pred_def_203,type,
    summable: 
      !>[X0: $tType] : ( fun(nat,X0) > $o ) ).

tff(pred_def_204,type,
    topolo3448309680560233919inuous: 
      !>[X0: $tType,X1: $tType] : ( ( filter(X0) * fun(X0,X1) ) > $o ) ).

tff(pred_def_205,type,
    topolo81223032696312382ous_on: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,X1) ) > $o ) ).

tff(pred_def_206,type,
    topological_monoseq: 
      !>[X0: $tType] : ( fun(nat,X0) > $o ) ).

tff(pred_def_207,type,
    topolo3814608138187158403Cauchy: 
      !>[X0: $tType] : ( fun(nat,X0) > $o ) ).

tff(pred_def_208,type,
    topolo6688025880775521714ounded: 
      !>[X0: $tType] : ( set(X0) > $o ) ).

tff(pred_def_209,type,
    vEBT_V5917875025757280293ildren: ( nat * list(vEBT_VEBT) * nat ) > $o ).

tff(pred_def_210,type,
    vEBT_VEBT_membermima: ( vEBT_VEBT * nat ) > $o ).

tff(pred_def_211,type,
    vEBT_V5719532721284313246member: ( vEBT_VEBT * nat ) > $o ).

tff(pred_def_212,type,
    vEBT_VEBT_valid: ( vEBT_VEBT * nat ) > $o ).

tff(pred_def_213,type,
    vEBT_invar_vebt: ( vEBT_VEBT * nat ) > $o ).

tff(pred_def_214,type,
    vEBT_VEBT_minNull: vEBT_VEBT > $o ).

tff(pred_def_215,type,
    vEBT_VEBT_greater: ( option(nat) * option(nat) ) > $o ).

tff(pred_def_216,type,
    vEBT_VEBT_less: ( option(nat) * option(nat) ) > $o ).

tff(pred_def_217,type,
    vEBT_VEBT_lesseq: ( option(nat) * option(nat) ) > $o ).

tff(pred_def_218,type,
    vEBT_VEBT_max_in_set: ( set(nat) * nat ) > $o ).

tff(pred_def_219,type,
    vEBT_VEBT_min_in_set: ( set(nat) * nat ) > $o ).

tff(pred_def_220,type,
    vEBT_is_succ_in_set: ( set(nat) * nat * nat ) > $o ).

tff(pred_def_221,type,
    ':=': 
      !>[X0: $tType] : ( ( X0 * X0 ) > $o ) ).

tff(pred_def_222,type,
    iG108: ( list(vEBT_VEBT) * nat * nat ) > $o ).

tff(pred_def_223,type,
    iG113: ( list(vEBT_VEBT) * nat * nat ) > $o ).

tff(pred_def_224,type,
    iG139: ( list(vEBT_VEBT) * nat * nat ) > $o ).

tff(pred_def_225,type,
    iG141: ( list(vEBT_VEBT) * nat * nat ) > $o ).

tff(pred_def_226,type,
    iG143: ( list(vEBT_VEBT) * nat * nat ) > $o ).

tff(pred_def_227,type,
    iG149: 
      !>[X0: $tType] : ( ( num * X0 * X0 ) > $o ) ).

tff(pred_def_228,type,
    iG150: 
      !>[X0: $tType] : ( ( num * X0 * X0 ) > $o ) ).

tff(pred_def_229,type,
    iG152: 
      !>[X0: $tType] : ( ( X0 * X0 * X0 ) > $o ) ).

tff(pred_def_230,type,
    iG153: 
      !>[X0: $tType] : ( ( X0 * X0 * X0 ) > $o ) ).

tff(pred_def_231,type,
    iG166: 
      !>[X0: $tType] : ( ( X0 * num * X0 ) > $o ) ).

tff(pred_def_232,type,
    iG167: 
      !>[X0: $tType] : ( ( X0 * num * X0 ) > $o ) ).

tff(pred_def_233,type,
    iG244: ( nat * $o ) > $o ).

tff(pred_def_234,type,
    iG245: ( nat * $o * $o ) > $o ).

tff(pred_def_235,type,
    iG286: ( list(vEBT_VEBT) * nat * nat ) > $o ).

tff(pred_def_236,type,
    iG287: ( nat * $o ) > $o ).

tff(pred_def_237,type,
    iG288: ( nat * $o * $o ) > $o ).

tff(pred_def_238,type,
    iG292: ( list(vEBT_VEBT) * nat * nat ) > $o ).

tff(pred_def_239,type,
    iG293: ( nat * $o ) > $o ).

tff(pred_def_240,type,
    iG294: ( nat * $o * $o ) > $o ).

tff(pred_def_241,type,
    iG298: ( list(vEBT_VEBT) * nat * nat ) > $o ).

tff(pred_def_242,type,
    iG299: ( nat * $o ) > $o ).

tff(pred_def_243,type,
    iG300: ( nat * $o * $o ) > $o ).

tff(pred_def_244,type,
    iG304: ( list(vEBT_VEBT) * nat * nat ) > $o ).

tff(pred_def_245,type,
    iG305: ( nat * nat * nat * list(vEBT_VEBT) ) > $o ).

tff(pred_def_246,type,
    iG306: ( nat * nat * nat * nat * list(vEBT_VEBT) ) > $o ).

tff(pred_def_247,type,
    iG307: ( nat * nat * nat * nat * list(vEBT_VEBT) ) > $o ).

tff(pred_def_248,type,
    iG308: ( nat * nat * nat * nat * list(vEBT_VEBT) ) > $o ).

tff(pred_def_249,type,
    iG309: ( nat * $o ) > $o ).

tff(pred_def_250,type,
    iG310: ( nat * $o * $o ) > $o ).

tff(pred_def_251,type,
    iG314: ( list(vEBT_VEBT) * nat * nat ) > $o ).

tff(pred_def_252,type,
    iG316: ( list(vEBT_VEBT) * nat * nat ) > $o ).

tff(pred_def_253,type,
    iG320: ( list(vEBT_VEBT) * nat * nat ) > $o ).

tff(pred_def_254,type,
    iG322: ( list(vEBT_VEBT) * nat * nat ) > $o ).

tff(pred_def_255,type,
    iG326: ( list(vEBT_VEBT) * nat * nat ) > $o ).

tff(pred_def_256,type,
    iG327: ( nat * nat * nat * list(vEBT_VEBT) ) > $o ).

tff(pred_def_257,type,
    iG328: ( nat * nat * nat * nat * list(vEBT_VEBT) ) > $o ).

tff(pred_def_258,type,
    iG329: ( nat * nat * nat * nat * list(vEBT_VEBT) ) > $o ).

tff(pred_def_259,type,
    iG330: ( nat * nat * nat * nat * list(vEBT_VEBT) ) > $o ).

tff(pred_def_260,type,
    iG331: ( nat * $o ) > $o ).

tff(pred_def_261,type,
    iG332: ( nat * $o * $o ) > $o ).

tff(pred_def_262,type,
    iG336: ( list(vEBT_VEBT) * nat * nat ) > $o ).

tff(pred_def_263,type,
    iG337: ( nat * nat * nat * list(vEBT_VEBT) ) > $o ).

tff(pred_def_264,type,
    iG338: ( nat * nat * nat * nat * list(vEBT_VEBT) ) > $o ).

tff(pred_def_265,type,
    iG339: ( nat * nat * nat * nat * list(vEBT_VEBT) ) > $o ).

tff(pred_def_266,type,
    iG340: ( nat * nat * nat * nat * list(vEBT_VEBT) ) > $o ).

tff(pred_def_267,type,
    iG341: ( nat * $o ) > $o ).

tff(pred_def_268,type,
    iG342: ( nat * $o * $o ) > $o ).

tff(pred_def_269,type,
    iG363: ( list(vEBT_VEBT) * nat * nat ) > $o ).

tff(pred_def_270,type,
    iG364: ( nat * nat * nat * list(vEBT_VEBT) ) > $o ).

tff(pred_def_271,type,
    iG365: ( nat * nat * nat * nat * list(vEBT_VEBT) ) > $o ).

tff(pred_def_272,type,
    iG366: ( nat * nat * nat * nat * list(vEBT_VEBT) ) > $o ).

tff(pred_def_273,type,
    iG367: ( nat * nat * nat * nat * list(vEBT_VEBT) ) > $o ).

tff(pred_def_274,type,
    iG368: ( nat * $o ) > $o ).

tff(pred_def_275,type,
    iG369: ( nat * $o * $o ) > $o ).

tff(pred_def_276,type,
    iG389: ( list(vEBT_VEBT) * nat * nat ) > $o ).

tff(pred_def_277,type,
    iG390: ( nat * $o ) > $o ).

tff(pred_def_278,type,
    iG391: ( nat * $o * $o ) > $o ).

tff(pred_def_279,type,
    iG397: ( list(vEBT_VEBT) * nat * nat ) > $o ).

tff(pred_def_280,type,
    iG398: ( nat * $o ) > $o ).

tff(pred_def_281,type,
    iG399: ( nat * $o * $o ) > $o ).

tff(pred_def_282,type,
    iG416: ( list(vEBT_VEBT) * nat * nat ) > $o ).

tff(pred_def_283,type,
    iG417: ( nat * nat * nat * list(vEBT_VEBT) ) > $o ).

tff(pred_def_284,type,
    iG418: ( nat * nat * nat * nat * list(vEBT_VEBT) ) > $o ).

tff(pred_def_285,type,
    iG419: ( nat * nat * nat * nat * list(vEBT_VEBT) ) > $o ).

tff(pred_def_286,type,
    iG420: ( nat * nat * nat * nat * list(vEBT_VEBT) ) > $o ).

tff(pred_def_287,type,
    iG421: ( nat * $o ) > $o ).

tff(pred_def_288,type,
    iG422: ( nat * $o * $o ) > $o ).

tff(pred_def_289,type,
    iG431: ( list(vEBT_VEBT) * nat * nat ) > $o ).

tff(pred_def_290,type,
    iG437: ( list(vEBT_VEBT) * nat * nat ) > $o ).

tff(pred_def_291,type,
    iG439: ( list(vEBT_VEBT) * nat * nat ) > $o ).

tff(pred_def_292,type,
    iG445: ( list(vEBT_VEBT) * nat * nat ) > $o ).

tff(pred_def_293,type,
    iG447: ( list(vEBT_VEBT) * nat * nat ) > $o ).

tff(pred_def_294,type,
    iG449: ( int * int * int ) > $o ).

tff(pred_def_295,type,
    iG450: ( int * int * int ) > $o ).

tff(pred_def_296,type,
    iG543: 
      !>[X0: $tType] : ( ( num * X0 * X0 ) > $o ) ).

tff(pred_def_297,type,
    iG544: 
      !>[X0: $tType] : ( ( num * X0 * X0 ) > $o ) ).

tff(pred_def_298,type,
    iG545: 
      !>[X0: $tType] : ( ( X0 * X0 * X0 ) > $o ) ).

tff(pred_def_299,type,
    iG546: 
      !>[X0: $tType] : ( ( X0 * X0 * X0 ) > $o ) ).

tff(pred_def_300,type,
    iG553: 
      !>[X0: $tType] : ( ( X0 * num * X0 ) > $o ) ).

tff(pred_def_301,type,
    iG554: 
      !>[X0: $tType] : ( ( X0 * num * X0 ) > $o ) ).

tff(pred_def_302,type,
    iG677: ( int * nat ) > $o ).

tff(pred_def_303,type,
    iG678: ( int * nat ) > $o ).

tff(pred_def_304,type,
    iG945: 
      !>[X0: $tType] : ( ( list(list(X0)) * list(X0) * list(X0) ) > $o ) ).

tff(pred_def_305,type,
    iG965: ( real * real * real ) > $o ).

tff(pred_def_306,type,
    iG1092: ( nat * nat * list(vEBT_VEBT) * nat * nat ) > $o ).

tff(pred_def_307,type,
    sP1124: fun(int,$o) > $o ).

tff(pred_def_308,type,
    sP1125: ( fun(real,fun(real,$o)) * real * real ) > $o ).

tff(pred_def_309,type,
    sP1126: ( fun(int,$o) * int * int ) > $o ).

tff(pred_def_310,type,
    sP1127: ( fun(int,$o) * int * int ) > $o ).

tff(pred_def_311,type,
    sP1128: ( fun(nat,$o) * nat * nat ) > $o ).

tff(pred_def_312,type,
    sP1129: ( nat * nat * list(vEBT_VEBT) * nat * nat ) > $o ).

tff(pred_def_313,type,
    sP1130: ( vEBT_VEBT * list(vEBT_VEBT) * nat ) > $o ).

tff(pred_def_314,type,
    sP1131: ( nat * nat * list(vEBT_VEBT) * nat * nat ) > $o ).

tff(pred_def_315,type,
    sP1132: ( vEBT_VEBT * list(vEBT_VEBT) * nat ) > $o ).

tff(pred_def_316,type,
    sP1133: ( fun(int,$o) * int ) > $o ).

tff(pred_def_317,type,
    sP1134: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,fun(X1,$o)) * set(X1) * set(X0) ) > $o ) ).

tff(pred_def_318,type,
    sP1135: 
      !>[X0: $tType] : ( ( fun(set(X0),$o) * set(X0) ) > $o ) ).

tff(pred_def_319,type,
    sP1136: 
      !>[X0: $tType,X1: $tType] : ( ( option(X0) * option(X1) * fun(option(X1),fun(option(X0),$o)) ) > $o ) ).

tff(pred_def_320,type,
    sP1137: ( fun(int,$o) * int * int ) > $o ).

tff(pred_def_321,type,
    sP1138: ( fun(int,$o) * int * int ) > $o ).

tff(pred_def_322,type,
    sP1139: ( nat * fun(nat,$o) * nat ) > $o ).

tff(pred_def_323,type,
    sP1140: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * fun(X1,$o) ) > $o ) ).

tff(pred_def_324,type,
    sP1141: 
      !>[X0: $tType] : ( ( X0 * X0 * X0 ) > $o ) ).

tff(pred_def_325,type,
    sP1142: 
      !>[X0: $tType] : ( ( X0 * X0 * X0 ) > $o ) ).

tff(pred_def_326,type,
    sP1143: 
      !>[X0: $tType] : ( ( X0 * X0 * X0 ) > $o ) ).

tff(pred_def_327,type,
    sP1144: 
      !>[X0: $tType] : ( ( fun(X0,$o) * fun(X0,$o) * fun(X0,$o) * fun(X0,$o) ) > $o ) ).

tff(pred_def_328,type,
    sP1145: 
      !>[X0: $tType] : ( ( fun(X0,$o) * fun(X0,$o) * fun(X0,$o) * fun(X0,$o) ) > $o ) ).

tff(pred_def_329,type,
    sP1146: 
      !>[X0: $tType] : ( ( fun(X0,$o) * fun(X0,$o) * fun(X0,$o) * fun(X0,$o) ) > $o ) ).

tff(pred_def_330,type,
    sP1147: 
      !>[X0: $tType] : ( ( fun(X0,$o) * fun(X0,$o) * fun(X0,$o) * fun(X0,$o) ) > $o ) ).

tff(pred_def_331,type,
    sP1148: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * fun(X0,X1) * set(X1) * set(X1) ) > $o ) ).

tff(pred_def_332,type,
    sP1149: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * set(X0) * fun(X1,X0) * set(X1) * set(X1) ) > $o ) ).

tff(pred_def_333,type,
    sP1150: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * fun(X0,X1) * set(X1) * set(X1) ) > $o ) ).

tff(pred_def_334,type,
    sP1151: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * set(X0) * fun(X1,X0) * set(X1) * set(X1) ) > $o ) ).

tff(pred_def_335,type,
    sP1152: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * fun(X0,X1) * set(X1) * set(X1) ) > $o ) ).

tff(pred_def_336,type,
    sP1153: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * set(X0) * fun(X1,X0) * set(X1) * set(X1) ) > $o ) ).

tff(pred_def_337,type,
    sP1154: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * fun(X0,X1) * set(X1) * set(X1) ) > $o ) ).

tff(pred_def_338,type,
    sP1155: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * set(X0) * fun(X1,X0) * set(X1) * set(X1) ) > $o ) ).

tff(pred_def_339,type,
    sP1156: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * set(set(X1)) ) > $o ) ).

tff(pred_def_340,type,
    sP1157: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * fun(X1,$o) ) > $o ) ).

tff(pred_def_341,type,
    sP1158: 
      !>[X0: $tType] : ( ( fun(real,X0) * real * real ) > $o ) ).

tff(pred_def_342,type,
    sP1159: 
      !>[X0: $tType] : ( ( fun(real,X0) * real * real ) > $o ) ).

tff(pred_def_343,type,
    sP1160: 
      !>[X0: $tType] : ( ( fun(real,X0) * real * real ) > $o ) ).

tff(pred_def_344,type,
    sP1161: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,filter(X1)) ) > $o ) ).

tff(pred_def_345,type,
    sP1162: 
      !>[X0: $tType] : ( set(filter(X0)) > $o ) ).

tff(pred_def_346,type,
    sP1163: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,filter(X1)) ) > $o ) ).

tff(pred_def_347,type,
    sP1164: ( int * fun(int,$o) * fun(int,$o) * set(int) ) > $o ).

tff(pred_def_348,type,
    sP1165: ( int * fun(int,$o) * set(int) ) > $o ).

tff(pred_def_349,type,
    sP1166: ( int * fun(int,$o) * fun(int,$o) * set(int) ) > $o ).

tff(pred_def_350,type,
    sP1167: ( int * fun(int,$o) * set(int) ) > $o ).

tff(pred_def_351,type,
    sP1168: ( int * fun(int,$o) * fun(int,$o) * set(int) ) > $o ).

tff(pred_def_352,type,
    sP1169: ( int * fun(int,$o) * set(int) ) > $o ).

tff(pred_def_353,type,
    sP1170: ( int * fun(int,$o) * fun(int,$o) * set(int) ) > $o ).

tff(pred_def_354,type,
    sP1171: ( int * fun(int,$o) * set(int) ) > $o ).

tff(pred_def_355,type,
    sP1172: ( int * fun(int,$o) * set(int) * fun(int,$o) ) > $o ).

tff(pred_def_356,type,
    sP1173: ( int * fun(int,$o) * set(int) * fun(int,$o) ) > $o ).

tff(pred_def_357,type,
    sP1174: ( fun(nat,int) * nat * nat ) > $o ).

tff(pred_def_358,type,
    sP1175: ( fun(real,real) * real * real ) > $o ).

tff(pred_def_359,type,
    sP1176: ( fun(real,real) * real * real ) > $o ).

tff(pred_def_360,type,
    sP1177: ( fun(real,real) * fun(real,real) * real * real ) > $o ).

tff(pred_def_361,type,
    sP1178: ( fun(real,real) * fun(real,real) * real * real ) > $o ).

tff(pred_def_362,type,
    sP1179: ( fun(real,real) * fun(real,real) * real * real ) > $o ).

tff(pred_def_363,type,
    sP1180: ( real * nat * real ) > $o ).

tff(pred_def_364,type,
    sP1181: ( fun(real,fun(real,real)) * fun(real,real) * real * real ) > $o ).

tff(pred_def_365,type,
    sP1182: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * fun(X1,$o) ) > $o ) ).

tff(pred_def_366,type,
    sP1183: ( option(num) * num * num ) > $o ).

tff(pred_def_367,type,
    sP1184: ( option(num) * num * num ) > $o ).

tff(pred_def_368,type,
    sP1185: ( option(num) * num * num ) > $o ).

tff(pred_def_369,type,
    sP1186: ( option(num) * num * num ) > $o ).

tff(pred_def_370,type,
    sP1187: ( option(num) * num * num ) > $o ).

tff(pred_def_371,type,
    sP1188: ( option(num) * num * num ) > $o ).

tff(pred_def_372,type,
    sP1189: ( option(num) * num * num ) > $o ).

tff(pred_def_373,type,
    sP1190: ( option(num) * num * num ) > $o ).

tff(pred_def_374,type,
    sP1191: ( fun(real,real) * fun(real,real) * real * real ) > $o ).

tff(pred_def_375,type,
    sP1192: ( fun(real,real) * real * real ) > $o ).

tff(pred_def_376,type,
    sP1193: ( num * num * num ) > $o ).

tff(pred_def_377,type,
    sP1194: ( num * num * num ) > $o ).

tff(pred_def_378,type,
    sP1195: ( num * num * num ) > $o ).

tff(pred_def_379,type,
    sP1196: ( num * num * num ) > $o ).

tff(pred_def_380,type,
    sP1197: ( num * num * num ) > $o ).

tff(pred_def_381,type,
    sP1198: ( num * num * num ) > $o ).

tff(pred_def_382,type,
    sP1199: ( num * num * num ) > $o ).

tff(pred_def_383,type,
    sP1200: ( num * num * num ) > $o ).

tff(pred_def_384,type,
    sP1201: 
      !>[X0: $tType] : ( ( set(list(X0)) * list(X0) * list(X0) ) > $o ) ).

tff(pred_def_385,type,
    sP1202: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) * list(X0) ) > $o ) ).

tff(pred_def_386,type,
    sP1203: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) * list(X0) ) > $o ) ).

tff(pred_def_387,type,
    sP1204: 
      !>[X0: $tType] : ( list(list(X0)) > $o ) ).

tff(f3,axiom,
    ( aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),xa),ia)
    & aa(nat,$o,vEBT_vebt_member(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)),ia) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_2__092_060open_062x_A_060_Ai_A_092_060and_062_Avebt__member_A_INode_A_ISome_A_Imi_M_Ama_J_J_Adeg_AtreeList_Asummary_J_Ai_092_060close_062) ).

tff(f7,axiom,
    aa(nat,nat,aa(nat,fun(nat,nat),divide_divide(nat),deg),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))) = na,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_6__092_060open_062deg_Adiv_A2_A_061_An_092_060close_062) ).

tff(f13,axiom,
    ! [X0: nat,X1: nat] : ( vEBT_VEBT_high(X0,X1) = aa(nat,nat,aa(nat,fun(nat,nat),divide_divide(nat),X0),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),X1)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_12_high__def) ).

tff(f31,axiom,
    ! [X0: nat,X1: nat,X2: nat,X3: list(vEBT_VEBT),X4: vEBT_VEBT,X5: nat] :
      ( aa(nat,$o,vEBT_vebt_member(vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),aa(nat,product_prod(nat,nat),aa(nat,fun(nat,product_prod(nat,nat)),product_Pair(nat,nat),X0),X1)),X2,X3,X4)),X5)
     => ( aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),X2)
        & ( ( X5 = X0 )
          | ( X5 = X1 )
          | ( aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X5),X1)
            & aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X0),X5)
            & aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),vEBT_VEBT_high(X5,aa(nat,nat,aa(nat,fun(nat,nat),divide_divide(nat),X2),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))))),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X3))
            & aa(nat,$o,vEBT_vebt_member(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X3),vEBT_VEBT_high(X5,aa(nat,nat,aa(nat,fun(nat,nat),divide_divide(nat),X2),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))))),vEBT_VEBT_low(X5,aa(nat,nat,aa(nat,fun(nat,nat),divide_divide(nat),X2),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))))) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_30_member__inv) ).

tff(f181,axiom,
    ! [X0: nat,X1: nat] : ( vEBT_VEBT_low(X0,X1) = modulo_modulo(nat,X0,aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),X1)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_180_low__def) ).

tff(f4483,axiom,
    ! [X0: nat,X1: nat] : ( aa(nat,nat,bit_se2584673776208193580ke_bit(nat,X0),X1) = modulo_modulo(nat,X1,aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),X0)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_4482_take__bit__nat__def) ).

tff(f5446,axiom,
    ! [X0: nat,X1: nat] : ( aa(nat,nat,bit_se4197421643247451524op_bit(nat,X0),X1) = aa(nat,nat,aa(nat,fun(nat,nat),divide_divide(nat),X1),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),X0)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_5445_drop__bit__nat__def) ).

tff(f10260,conjecture,
    ( ( ia = mi )
    | ( ia = ma )
    | ( aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),vEBT_VEBT_high(ia,aa(nat,nat,aa(nat,fun(nat,nat),divide_divide(nat),deg),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))))),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),treeList))
      & aa(nat,$o,vEBT_vebt_member(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,treeList),vEBT_VEBT_high(ia,aa(nat,nat,aa(nat,fun(nat,nat),divide_divide(nat),deg),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))))),vEBT_VEBT_low(ia,aa(nat,nat,aa(nat,fun(nat,nat),divide_divide(nat),deg),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))))) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0) ).

tff(f10261,negated_conjecture,
    ~ ( ( ia = mi )
      | ( ia = ma )
      | ( aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),vEBT_VEBT_high(ia,aa(nat,nat,aa(nat,fun(nat,nat),divide_divide(nat),deg),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))))),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),treeList))
        & aa(nat,$o,vEBT_vebt_member(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,treeList),vEBT_VEBT_high(ia,aa(nat,nat,aa(nat,fun(nat,nat),divide_divide(nat),deg),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))))),vEBT_VEBT_low(ia,aa(nat,nat,aa(nat,fun(nat,nat),divide_divide(nat),deg),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))))) ) ),
    inference(negated_conjecture,[status(cth)],[f10260]) ).

tff(f10264,plain,
    ( aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),xa),ia)
    & aa(nat,$o,vEBT_vebt_member(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)),ia) ),
    inference(rectify,[],[f3]) ).

tff(f10265,plain,
    ( ( aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),xa),ia) = $true )
    & ( aa(nat,$o,vEBT_vebt_member(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)),ia) = $true ) ),
    inference(fool_elimination,[],[f10264]) ).

tff(f10300,plain,
    ! [X0: nat,X1: nat,X2: nat,X3: list(vEBT_VEBT),X4: vEBT_VEBT,X5: nat] :
      ( aa(nat,$o,vEBT_vebt_member(vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),aa(nat,product_prod(nat,nat),aa(nat,fun(nat,product_prod(nat,nat)),product_Pair(nat,nat),X0),X1)),X2,X3,X4)),X5)
     => ( aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),X2)
        & ( ( X5 = X0 )
          | ( X5 = X1 )
          | ( aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X5),X1)
            & aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X0),X5)
            & aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),vEBT_VEBT_high(X5,aa(nat,nat,aa(nat,fun(nat,nat),divide_divide(nat),X2),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))))),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X3))
            & aa(nat,$o,vEBT_vebt_member(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X3),vEBT_VEBT_high(X5,aa(nat,nat,aa(nat,fun(nat,nat),divide_divide(nat),X2),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))))),vEBT_VEBT_low(X5,aa(nat,nat,aa(nat,fun(nat,nat),divide_divide(nat),X2),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))))) ) ) ) ),
    inference(rectify,[],[f31]) ).

tff(f10301,plain,
    ! [X0: nat,X1: nat,X2: nat,X3: list(vEBT_VEBT),X4: vEBT_VEBT,X5: nat] :
      ( ( aa(nat,$o,vEBT_vebt_member(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),X0),X1)),X2,X3,X4)),X5) = $true )
     => ( ( aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),X2) = $true )
        & ( ( X0 = X5 )
          | ( X1 = X5 )
          | ( ( aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X5),X1) = $true )
            & ( aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X0),X5) = $true )
            & ( aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),vEBT_VEBT_high(X5,aa(nat,nat,aa(nat,fun(nat,nat),divide_divide(nat),X2),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))))),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X3)) = $true )
            & ( aa(nat,$o,vEBT_vebt_member(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X3),vEBT_VEBT_high(X5,aa(nat,nat,aa(nat,fun(nat,nat),divide_divide(nat),X2),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))))),vEBT_VEBT_low(X5,aa(nat,nat,aa(nat,fun(nat,nat),divide_divide(nat),X2),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))))) = $true ) ) ) ) ),
    inference(fool_elimination,[],[f10300]) ).

tff(f21188,plain,
    ~ ( ( ia = mi )
      | ( ia = ma )
      | ( aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),vEBT_VEBT_high(ia,aa(nat,nat,aa(nat,fun(nat,nat),divide_divide(nat),deg),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))))),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),treeList))
        & aa(nat,$o,vEBT_vebt_member(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,treeList),vEBT_VEBT_high(ia,aa(nat,nat,aa(nat,fun(nat,nat),divide_divide(nat),deg),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))))),vEBT_VEBT_low(ia,aa(nat,nat,aa(nat,fun(nat,nat),divide_divide(nat),deg),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))))) ) ),
    inference(rectify,[],[f10261]) ).

tff(f21189,plain,
    ~ ( ( mi = ia )
      | ( ma = ia )
      | ( ( aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),vEBT_VEBT_high(ia,aa(nat,nat,aa(nat,fun(nat,nat),divide_divide(nat),deg),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))))),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),treeList)) = $true )
        & ( aa(nat,$o,vEBT_vebt_member(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,treeList),vEBT_VEBT_high(ia,aa(nat,nat,aa(nat,fun(nat,nat),divide_divide(nat),deg),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))))),vEBT_VEBT_low(ia,aa(nat,nat,aa(nat,fun(nat,nat),divide_divide(nat),deg),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))))) = $true ) ) ),
    inference(fool_elimination,[],[f21188]) ).

tff(f21533,plain,
    ( ( mi != ia )
    & ( ma != ia )
    & ( ( aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),vEBT_VEBT_high(ia,aa(nat,nat,aa(nat,fun(nat,nat),divide_divide(nat),deg),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))))),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),treeList)) != $true )
      | ( aa(nat,$o,vEBT_vebt_member(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,treeList),vEBT_VEBT_high(ia,aa(nat,nat,aa(nat,fun(nat,nat),divide_divide(nat),deg),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))))),vEBT_VEBT_low(ia,aa(nat,nat,aa(nat,fun(nat,nat),divide_divide(nat),deg),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))))) != $true ) ) ),
    inference(ennf_transformation,[],[f21189]) ).

tff(f21783,plain,
    ! [X0: nat,X1: nat,X2: nat,X3: list(vEBT_VEBT),X4: vEBT_VEBT,X5: nat] :
      ( ( ( aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),X2) = $true )
        & ( ( X0 = X5 )
          | ( X1 = X5 )
          | ( ( aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X5),X1) = $true )
            & ( aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),X0),X5) = $true )
            & ( aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),vEBT_VEBT_high(X5,aa(nat,nat,aa(nat,fun(nat,nat),divide_divide(nat),X2),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))))),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X3)) = $true )
            & ( aa(nat,$o,vEBT_vebt_member(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X3),vEBT_VEBT_high(X5,aa(nat,nat,aa(nat,fun(nat,nat),divide_divide(nat),X2),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))))),vEBT_VEBT_low(X5,aa(nat,nat,aa(nat,fun(nat,nat),divide_divide(nat),X2),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))))) = $true ) ) ) )
      | ( aa(nat,$o,vEBT_vebt_member(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),X0),X1)),X2,X3,X4)),X5) != $true ) ),
    inference(ennf_transformation,[],[f10301]) ).

tff(f28928,plain,
    ( ( aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),vEBT_VEBT_high(ia,aa(nat,nat,aa(nat,fun(nat,nat),divide_divide(nat),deg),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))))),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),treeList)) != $true )
    | ( aa(nat,$o,vEBT_vebt_member(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,treeList),vEBT_VEBT_high(ia,aa(nat,nat,aa(nat,fun(nat,nat),divide_divide(nat),deg),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))))),vEBT_VEBT_low(ia,aa(nat,nat,aa(nat,fun(nat,nat),divide_divide(nat),deg),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))))) != $true ) ),
    inference(cnf_transformation,[],[f21533]) ).

tff(f28929,plain,
    ma != ia,
    inference(cnf_transformation,[],[f21533]) ).

tff(f28930,plain,
    mi != ia,
    inference(cnf_transformation,[],[f21533]) ).

tff(f29460,plain,
    ! [X2: nat,X3: list(vEBT_VEBT),X0: nat,X1: nat,X4: vEBT_VEBT,X5: nat] :
      ( ( X0 = X5 )
      | ( X1 = X5 )
      | ( aa(nat,$o,vEBT_vebt_member(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X3),vEBT_VEBT_high(X5,aa(nat,nat,aa(nat,fun(nat,nat),divide_divide(nat),X2),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))))),vEBT_VEBT_low(X5,aa(nat,nat,aa(nat,fun(nat,nat),divide_divide(nat),X2),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))))) = $true )
      | ( aa(nat,$o,vEBT_vebt_member(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),X0),X1)),X2,X3,X4)),X5) != $true ) ),
    inference(cnf_transformation,[],[f21783]) ).

tff(f29461,plain,
    ! [X2: nat,X3: list(vEBT_VEBT),X0: nat,X1: nat,X4: vEBT_VEBT,X5: nat] :
      ( ( X0 = X5 )
      | ( X1 = X5 )
      | ( aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),vEBT_VEBT_high(X5,aa(nat,nat,aa(nat,fun(nat,nat),divide_divide(nat),X2),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))))),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X3)) = $true )
      | ( aa(nat,$o,vEBT_vebt_member(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),X0),X1)),X2,X3,X4)),X5) != $true ) ),
    inference(cnf_transformation,[],[f21783]) ).

tff(f29465,plain,
    ! [X0: nat,X1: nat] : ( vEBT_VEBT_high(X0,X1) = aa(nat,nat,aa(nat,fun(nat,nat),divide_divide(nat),X0),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),X1)) ),
    inference(cnf_transformation,[],[f13]) ).

tff(f29502,plain,
    ! [X0: nat,X1: nat] : ( vEBT_VEBT_low(X0,X1) = modulo_modulo(nat,X0,aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),X1)) ),
    inference(cnf_transformation,[],[f181]) ).

tff(f29525,plain,
    aa(nat,$o,vEBT_vebt_member(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)),ia) = $true,
    inference(cnf_transformation,[],[f10265]) ).

tff(f31075,plain,
    aa(nat,nat,aa(nat,fun(nat,nat),divide_divide(nat),deg),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))) = na,
    inference(cnf_transformation,[],[f7]) ).

tff(f34314,plain,
    ! [X0: nat,X1: nat] : ( aa(nat,nat,bit_se2584673776208193580ke_bit(nat,X0),X1) = modulo_modulo(nat,X1,aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),X0)) ),
    inference(cnf_transformation,[],[f4483]) ).

tff(f34975,plain,
    ! [X0: nat,X1: nat] : ( aa(nat,nat,bit_se4197421643247451524op_bit(nat,X0),X1) = aa(nat,nat,aa(nat,fun(nat,nat),divide_divide(nat),X1),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),X0)) ),
    inference(cnf_transformation,[],[f5446]) ).

tff(f37122,plain,
    ( ( $true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),aa(nat,nat,aa(nat,fun(nat,nat),divide_divide(nat),ia),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),aa(nat,nat,aa(nat,fun(nat,nat),divide_divide(nat),deg),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))))),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),treeList)) )
    | ( $true != aa(nat,$o,vEBT_vebt_member(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,treeList),aa(nat,nat,aa(nat,fun(nat,nat),divide_divide(nat),ia),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),aa(nat,nat,aa(nat,fun(nat,nat),divide_divide(nat),deg),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))))))),modulo_modulo(nat,ia,aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),aa(nat,nat,aa(nat,fun(nat,nat),divide_divide(nat),deg),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))))) ) ),
    inference(definition_unfolding,[],[f28928,f29465,f29465,f29502]) ).

tff(f37128,plain,
    ! [X2: nat,X3: list(vEBT_VEBT),X0: nat,X1: nat,X4: vEBT_VEBT,X5: nat] :
      ( ( aa(nat,$o,vEBT_vebt_member(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),X0),X1)),X2,X3,X4)),X5) != $true )
      | ( X1 = X5 )
      | ( $true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),aa(nat,nat,aa(nat,fun(nat,nat),divide_divide(nat),X5),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),aa(nat,nat,aa(nat,fun(nat,nat),divide_divide(nat),X2),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))))),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),X3)) )
      | ( X0 = X5 ) ),
    inference(definition_unfolding,[],[f29461,f29465]) ).

tff(f37129,plain,
    ! [X2: nat,X3: list(vEBT_VEBT),X0: nat,X1: nat,X4: vEBT_VEBT,X5: nat] :
      ( ( aa(nat,$o,vEBT_vebt_member(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),X0),X1)),X2,X3,X4)),X5) != $true )
      | ( X1 = X5 )
      | ( $true = aa(nat,$o,vEBT_vebt_member(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,X3),aa(nat,nat,aa(nat,fun(nat,nat),divide_divide(nat),X5),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),aa(nat,nat,aa(nat,fun(nat,nat),divide_divide(nat),X2),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))))))),modulo_modulo(nat,X5,aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),aa(nat,nat,aa(nat,fun(nat,nat),divide_divide(nat),X2),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))))) )
      | ( X0 = X5 ) ),
    inference(definition_unfolding,[],[f29460,f29465,f29502]) ).

tff(f38105,plain,
    ( ( $true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),aa(nat,nat,bit_se4197421643247451524op_bit(nat,aa(nat,nat,aa(nat,fun(nat,nat),divide_divide(nat),deg),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))),ia)),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),treeList)) )
    | ( $true != aa(nat,$o,vEBT_vebt_member(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,treeList),aa(nat,nat,aa(nat,fun(nat,nat),divide_divide(nat),ia),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),aa(nat,nat,aa(nat,fun(nat,nat),divide_divide(nat),deg),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))))))),modulo_modulo(nat,ia,aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),aa(nat,nat,aa(nat,fun(nat,nat),divide_divide(nat),deg),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))))) ) ),
    inference(forward_demodulation,[],[f37122,f34975]) ).

tff(f38106,plain,
    ( ( $true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),aa(nat,nat,bit_se4197421643247451524op_bit(nat,na),ia)),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),treeList)) )
    | ( $true != aa(nat,$o,vEBT_vebt_member(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,treeList),aa(nat,nat,aa(nat,fun(nat,nat),divide_divide(nat),ia),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),aa(nat,nat,aa(nat,fun(nat,nat),divide_divide(nat),deg),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))))))),modulo_modulo(nat,ia,aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),aa(nat,nat,aa(nat,fun(nat,nat),divide_divide(nat),deg),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))))) ) ),
    inference(forward_demodulation,[],[f38105,f31075]) ).

tff(f38107,plain,
    ( ( $true != aa(nat,$o,vEBT_vebt_member(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,treeList),aa(nat,nat,aa(nat,fun(nat,nat),divide_divide(nat),ia),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),aa(nat,nat,aa(nat,fun(nat,nat),divide_divide(nat),deg),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))))))),aa(nat,nat,bit_se2584673776208193580ke_bit(nat,aa(nat,nat,aa(nat,fun(nat,nat),divide_divide(nat),deg),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))),ia)) )
    | ( $true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),aa(nat,nat,bit_se4197421643247451524op_bit(nat,na),ia)),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),treeList)) ) ),
    inference(forward_demodulation,[],[f38106,f34314]) ).

tff(f38108,plain,
    ( ( $true != aa(nat,$o,vEBT_vebt_member(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,treeList),aa(nat,nat,aa(nat,fun(nat,nat),divide_divide(nat),ia),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),na)))),aa(nat,nat,bit_se2584673776208193580ke_bit(nat,na),ia)) )
    | ( $true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),aa(nat,nat,bit_se4197421643247451524op_bit(nat,na),ia)),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),treeList)) ) ),
    inference(forward_demodulation,[],[f38107,f31075]) ).

tff(f38109,plain,
    ( ( $true != aa(nat,$o,vEBT_vebt_member(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,treeList),aa(nat,nat,bit_se4197421643247451524op_bit(nat,na),ia))),aa(nat,nat,bit_se2584673776208193580ke_bit(nat,na),ia)) )
    | ( $true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),aa(nat,nat,bit_se4197421643247451524op_bit(nat,na),ia)),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),treeList)) ) ),
    inference(forward_demodulation,[],[f38108,f34975]) ).

tff(f38111,definition,
    ( spl2700_1
  <=> ( $true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),aa(nat,nat,bit_se4197421643247451524op_bit(nat,na),ia)),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),treeList)) ) ),
    introduced(definition,[new_symbols(definition,[spl2700_1])],[avatar_definition]) ).

tff(f38113,plain,
    ( ( $true != aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),aa(nat,nat,bit_se4197421643247451524op_bit(nat,na),ia)),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),treeList)) )
    | spl2700_1 ),
    inference(avatar_component_clause,[],[f38111]) ).

tff(f38115,definition,
    ( spl2700_2
  <=> ( $true = aa(nat,$o,vEBT_vebt_member(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,treeList),aa(nat,nat,bit_se4197421643247451524op_bit(nat,na),ia))),aa(nat,nat,bit_se2584673776208193580ke_bit(nat,na),ia)) ) ),
    introduced(definition,[new_symbols(definition,[spl2700_2])],[avatar_definition]) ).

tff(f38118,plain,
    ( ~ spl2700_1
    | ~ spl2700_2 ),
    inference(avatar_split_clause,[],[f38109,f38115,f38111]) ).

tff(f39839,plain,
    $true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),aa(nat,nat,aa(nat,fun(nat,nat),divide_divide(nat),ia),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),aa(nat,nat,aa(nat,fun(nat,nat),divide_divide(nat),deg),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))))),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),treeList)),
    inference(unit_resulting_resolution,[],[f37128,f28929,f29525,f28930]) ).

tff(f39840,plain,
    $true = aa(nat,$o,vEBT_vebt_member(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,treeList),aa(nat,nat,aa(nat,fun(nat,nat),divide_divide(nat),ia),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),aa(nat,nat,aa(nat,fun(nat,nat),divide_divide(nat),deg),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))))))),modulo_modulo(nat,ia,aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),aa(nat,nat,aa(nat,fun(nat,nat),divide_divide(nat),deg),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))))),
    inference(unit_resulting_resolution,[],[f37129,f28929,f29525,f28930]) ).

tff(f40817,plain,
    $true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),aa(nat,nat,bit_se4197421643247451524op_bit(nat,aa(nat,nat,aa(nat,fun(nat,nat),divide_divide(nat),deg),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))),ia)),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),treeList)),
    inference(forward_demodulation,[],[f39839,f34975]) ).

tff(f40818,plain,
    $true = aa(nat,$o,vEBT_vebt_member(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,treeList),aa(nat,nat,aa(nat,fun(nat,nat),divide_divide(nat),ia),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),aa(nat,nat,aa(nat,fun(nat,nat),divide_divide(nat),deg),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))))))),aa(nat,nat,bit_se2584673776208193580ke_bit(nat,aa(nat,nat,aa(nat,fun(nat,nat),divide_divide(nat),deg),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))),ia)),
    inference(forward_demodulation,[],[f39840,f34314]) ).

tff(f41150,plain,
    $true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less(nat),aa(nat,nat,bit_se4197421643247451524op_bit(nat,na),ia)),aa(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),treeList)),
    inference(forward_demodulation,[],[f40817,f31075]) ).

tff(f41151,plain,
    $true = aa(nat,$o,vEBT_vebt_member(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,treeList),aa(nat,nat,aa(nat,fun(nat,nat),divide_divide(nat),ia),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),na)))),aa(nat,nat,bit_se2584673776208193580ke_bit(nat,na),ia)),
    inference(forward_demodulation,[],[f40818,f31075]) ).

tff(f41313,plain,
    ( $false
    | spl2700_1 ),
    inference(forward_subsumption_resolution,[],[f41150,f38113]) ).

tff(f41314,plain,
    spl2700_1,
    inference(avatar_contradiction_clause,[],[f41313]) ).

tff(f41315,plain,
    $true = aa(nat,$o,vEBT_vebt_member(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,treeList),aa(nat,nat,bit_se4197421643247451524op_bit(nat,na),ia))),aa(nat,nat,bit_se2584673776208193580ke_bit(nat,na),ia)),
    inference(forward_demodulation,[],[f41151,f34975]) ).

tff(f41318,plain,
    spl2700_2,
    inference(avatar_split_clause,[],[f41315,f38115]) ).

cnf(s1,plain,
    ( ~ spl2700_1
    | ~ spl2700_2 ),
    inference(sat_conversion,[],[f38118]) ).

cnf(s2,plain,
    spl2700_1,
    inference(sat_conversion,[],[f41314]) ).

cnf(s3,plain,
    spl2700_2,
    inference(sat_conversion,[],[f41318]) ).

cnf(s4,plain,
    $false,
    inference(rat,[],[s1,s3,s2]) ).

tff(f41319,plain,
    $false,
    inference(avatar_sat_refutation,[],[s4]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : ITP245_4 : TPTP v9.3.1. Bugfixed v9.3.0.
% 0.00/0.06  % Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.39  % Computer : n014.cluster.edu
% 0.12/0.39  % Model    : x86_64 x86_64
% 0.12/0.39  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.39  % Memory   : 8046.5625MB
% 0.12/0.39  % OS       : Linux 6.8.0-71-generic
% 0.12/0.39  % CPULimit : 300
% 0.12/0.39  % WCLimit  : 300
% 0.12/0.39  % DateTime : Sun Sep 27 12:34:33 UTC 2026
% 0.12/0.39  % CPUTime  : 
% 0.12/0.39  Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.46  Running first-order theorem proving
% 0.12/0.46  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
% 16.78/4.92  % (754917)Detected formulas, will run a generic FOF schedule.
% 16.78/4.92  % (754950)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2374431336:i=109:sd=1:ins=1:gsp=on:ss=axioms_2982 on theBenchmark for (2982ds/109Mi)
% 16.78/4.92  % (754953)dis-21_1_sil=8000:lcm=predicate:random_seed=2741325737:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2982 on theBenchmark for (2982ds/129Mi)
% 16.78/4.92  % (754950)Instruction limit reached! 
% 16.78/4.92  % (754950)------------------------------
% 16.78/4.92  % (754950)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.78/4.92  % (754950)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.78/4.92  % (754950)CaDiCaL version: 2.1.3
% 16.78/4.92  % (754950)Termination reason: Instruction limit
% 16.78/4.92  % (754950)Termination phase: Initialization
% 16.78/4.92  % (754950)Time elapsed: 0.051 s
% 16.78/4.92  % (754950)Peak memory usage: 100 MB
% 16.78/4.92  % (754950)Instructions burned: 111 (million)
% 16.78/4.92  % (754948)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=479497182:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2982 on theBenchmark for (2982ds/134677Mi)
% 16.78/4.92  % (754949)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=1512353088:i=141695:sd=1:nm=32:gsp=on:ss=included_2982 on theBenchmark for (2982ds/141695Mi)
% 16.78/4.92  % (754947)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=2571303159:i=141193_2982 on theBenchmark for (2982ds/141193Mi)
% 16.78/4.92  % (754952)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1612325678:s2a=on:i=139:gtg=position_2982 on theBenchmark for (2982ds/139Mi)
% 16.78/4.92  % (754951)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3591377572:i=119:av=off:ss=axioms_2982 on theBenchmark for (2982ds/119Mi)
% 16.78/4.92  % (754953)Instruction limit reached! 
% 16.78/4.92  % (754953)------------------------------
% 16.78/4.92  % (754953)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.78/4.92  % (754953)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.78/4.92  % (754953)CaDiCaL version: 2.1.3
% 16.78/4.92  % (754953)Termination reason: Instruction limit
% 16.78/4.92  % (754953)Termination phase: Initialization
% 16.78/4.92  % (754953)Time elapsed: 0.085 s
% 16.78/4.92  % (754953)Peak memory usage: 100 MB
% 16.78/4.92  % (754953)Instructions burned: 130 (million)
% 16.78/4.92  % (754951)Instruction limit reached! 
% 16.78/4.92  % (754951)------------------------------
% 16.78/4.92  % (754951)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.78/4.92  % (754951)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.78/4.92  % (754951)CaDiCaL version: 2.1.3
% 16.78/4.92  % (754951)Termination reason: Instruction limit
% 16.78/4.92  % (754951)Termination phase: Initialization
% 16.78/4.92  % (754951)Time elapsed: 0.102 s
% 16.78/4.92  % (754951)Peak memory usage: 100 MB
% 16.78/4.92  % (754951)Instructions burned: 119 (million)
% 16.78/4.92  % (754952)Instruction limit reached! 
% 16.78/4.92  % (754952)------------------------------
% 16.78/4.92  % (754952)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.78/4.92  % (754952)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.78/4.92  % (754952)CaDiCaL version: 2.1.3
% 16.78/4.92  % (754952)Termination reason: Instruction limit
% 16.78/4.92  % (754952)Termination phase: Property scanning
% 16.78/4.92  % (754952)Time elapsed: 0.107 s
% 16.78/4.92  % (754952)Peak memory usage: 97 MB
% 16.78/4.92  % (754952)Instructions burned: 140 (million)
% 16.78/4.92  % (754956)lrs+10_1_sil=8000:sp=occurrence:random_seed=4242410656:i=285:sd=3:ss=axioms:sgt=8_2980 on theBenchmark for (2980ds/285Mi)
% 16.78/4.92  % (754962)lrs+10_1_sil=32000:urr=on:br=off:random_seed=1261842367:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2980 on theBenchmark for (2980ds/157Mi)
% 16.78/4.92  % (754956)Instruction limit reached! 
% 16.78/4.92  % (754956)------------------------------
% 16.78/4.92  % (754956)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.78/4.92  % (754956)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.78/4.92  % (754956)CaDiCaL version: 2.1.3
% 16.78/4.92  % (754956)Termination reason: Instruction limit
% 16.78/4.92  % (754956)Termination phase: Initialization
% 23.95/5.94  % (754956)Time elapsed: 0.129 s
% 23.95/5.94  % (754956)Peak memory usage: 103 MB
% 23.95/5.94  % (754956)Instructions burned: 287 (million)
% 23.95/5.94  % (754964)lrs+1011_1_sil=32000:sp=occurrence:random_seed=457355502:i=325:sd=1:ss=axioms:sgt=32_2979 on theBenchmark for (2979ds/325Mi)
% 23.95/5.94  % (754965)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=2814589060:s2a=on:i=248:s2at=1.23:gtg=position_2979 on theBenchmark for (2979ds/248Mi)
% 23.95/5.94  % (754962)Instruction limit reached! 
% 23.95/5.94  % (754962)------------------------------
% 23.95/5.94  % (754962)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.95/5.94  % (754962)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.95/5.94  % (754962)CaDiCaL version: 2.1.3
% 23.95/5.94  % (754962)Termination reason: Instruction limit
% 23.95/5.94  % (754962)Termination phase: Property scanning
% 23.95/5.94  % (754962)Time elapsed: 0.123 s
% 23.95/5.94  % (754962)Peak memory usage: 97 MB
% 23.95/5.94  % (754962)Instructions burned: 158 (million)
% 23.95/5.94  % (754967)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=3921125941:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2978 on theBenchmark for (2978ds/294Mi)
% 23.95/5.94  % (754970)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=2142201041:i=2350_2977 on theBenchmark for (2977ds/2350Mi)
% 23.95/5.94  % (754965)Instruction limit reached! 
% 23.95/5.94  % (754965)------------------------------
% 23.95/5.94  % (754965)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.95/5.94  % (754965)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.95/5.94  % (754965)CaDiCaL version: 2.1.3
% 23.95/5.94  % (754965)Termination reason: Instruction limit
% 23.95/5.94  % (754965)Termination phase: Property scanning
% 23.95/5.94  % (754965)Time elapsed: 0.192 s
% 23.95/5.94  % (754965)Peak memory usage: 97 MB
% 23.95/5.94  % (754965)Instructions burned: 249 (million)
% 23.95/5.94  % (754964)Instruction limit reached! 
% 23.95/5.94  % (754964)------------------------------
% 23.95/5.94  % (754964)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.95/5.94  % (754964)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.95/5.94  % (754964)CaDiCaL version: 2.1.3
% 23.95/5.94  % (754964)Termination reason: Instruction limit
% 23.95/5.94  % (754964)Termination phase: Initialization
% 23.95/5.94  % (754964)Time elapsed: 0.275 s
% 23.95/5.94  % (754964)Peak memory usage: 105 MB
% 23.95/5.94  % (754964)Instructions burned: 326 (million)
% 23.95/5.94  % (754967)Instruction limit reached! 
% 23.95/5.94  % (754967)------------------------------
% 23.95/5.94  % (754967)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.95/5.94  % (754967)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.95/5.94  % (754967)CaDiCaL version: 2.1.3
% 23.95/5.94  % (754967)Termination reason: Instruction limit
% 23.95/5.94  % (754967)Termination phase: Initialization
% 23.95/5.94  % (754967)Time elapsed: 0.247 s
% 23.95/5.94  % (754967)Peak memory usage: 104 MB
% 23.95/5.94  % (754967)Instructions burned: 294 (million)
% 23.95/5.94  % (754973)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=1814314042:cts=off:i=113:fsr=off:ss=included:sgt=4_2975 on theBenchmark for (2975ds/113Mi)
% 23.95/5.94  % (754974)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=784112382:i=127:av=off:fsr=off:sup=off_2974 on theBenchmark for (2974ds/127Mi)
% 23.95/5.94  % (754973)Instruction limit reached! 
% 23.95/5.94  % (754973)------------------------------
% 23.95/5.94  % (754973)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.95/5.94  % (754973)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.95/5.94  % (754973)CaDiCaL version: 2.1.3
% 23.95/5.94  % (754973)Termination reason: Instruction limit
% 23.95/5.94  % (754973)Termination phase: Initialization
% 23.95/5.94  % (754973)Time elapsed: 0.096 s
% 23.95/5.94  % (754973)Peak memory usage: 100 MB
% 23.95/5.94  % (754973)Instructions burned: 113 (million)
% 23.95/5.94  % (754975)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=3963611957:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2973 on theBenchmark for (2973ds/114Mi)
% 23.95/5.94  % (754974)Instruction limit reached! 
% 23.95/5.94  % (754974)------------------------------
% 23.95/5.94  % (754974)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.95/5.94  % (754974)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.75/6.78  % (754974)CaDiCaL version: 2.1.3
% 28.75/6.78  % (754974)Termination reason: Instruction limit
% 28.75/6.78  % (754974)Termination phase: Initialization
% 28.75/6.78  % (754974)Time elapsed: 0.109 s
% 28.75/6.78  % (754974)Peak memory usage: 100 MB
% 28.75/6.78  % (754974)Instructions burned: 128 (million)
% 28.75/6.78  % (754975)Instruction limit reached! 
% 28.75/6.78  % (754975)------------------------------
% 28.75/6.78  % (754975)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 28.75/6.78  % (754975)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.75/6.78  % (754975)CaDiCaL version: 2.1.3
% 28.75/6.78  % (754975)Termination reason: Instruction limit
% 28.75/6.78  % (754975)Termination phase: Property scanning
% 28.75/6.78  % (754975)Time elapsed: 0.050 s
% 28.75/6.78  % (754975)Peak memory usage: 97 MB
% 28.75/6.78  % (754975)Instructions burned: 115 (million)
% 28.75/6.78  % (754983)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=2260869992:i=5202:ss=axioms:sgt=16_2971 on theBenchmark for (2971ds/5202Mi)
% 28.75/6.78  % (754981)lrs+10_1_sil=8000:sp=occurrence:random_seed=1805086731:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2972 on theBenchmark for (2972ds/907Mi)
% 28.75/6.78  % (754982)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=671535873:i=437:sd=1:aac=none:ss=included_2972 on theBenchmark for (2972ds/437Mi)
% 28.75/6.78  % (754982)Instruction limit reached! 
% 28.75/6.78  % (754982)------------------------------
% 28.75/6.78  % (754982)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 28.75/6.78  % (754982)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.75/6.78  % (754982)CaDiCaL version: 2.1.3
% 28.75/6.78  % (754982)Termination reason: Instruction limit
% 28.75/6.78  % (754982)Termination phase: Property scanning
% 28.75/6.78  % (754982)Time elapsed: 0.370 s
% 28.75/6.78  % (754982)Peak memory usage: 107 MB
% 28.75/6.78  % (754982)Instructions burned: 437 (million)
% 28.75/6.78  % (754970)Instruction limit reached! 
% 28.75/6.78  % (754970)------------------------------
% 28.75/6.78  % (754970)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 28.75/6.78  % (754970)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.75/6.78  % (754970)CaDiCaL version: 2.1.3
% 28.75/6.78  % (754970)Termination reason: Instruction limit
% 28.75/6.78  % (754970)Termination phase: Property scanning
% 28.75/6.78  % (754970)Time elapsed: 1.060 s
% 28.75/6.78  % (754970)Peak memory usage: 124 MB
% 28.75/6.78  % (754970)Instructions burned: 2352 (million)
% 28.75/6.78  % (754987)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=2454474789:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2966 on theBenchmark for (2966ds/134Mi)
% 28.75/6.78  % (754987)Instruction limit reached! 
% 28.75/6.78  % (754987)------------------------------
% 28.75/6.78  % (754987)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 28.75/6.78  % (754987)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.75/6.78  % (754987)CaDiCaL version: 2.1.3
% 28.75/6.78  % (754987)Termination reason: Instruction limit
% 28.75/6.78  % (754987)Termination phase: Preprocessing 1
% 28.75/6.78  % (754987)Time elapsed: 0.070 s
% 28.75/6.78  % (754987)Peak memory usage: 97 MB
% 28.75/6.78  % (754987)Instructions burned: 135 (million)
% 28.75/6.78  % (754981)Instruction limit reached! 
% 28.75/6.78  % (754981)------------------------------
% 28.75/6.78  % (754981)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 28.75/6.78  % (754981)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.75/6.78  % (754981)CaDiCaL version: 2.1.3
% 28.75/6.78  % (754981)Termination reason: Instruction limit
% 28.75/6.78  % (754981)Termination phase: SInE selection
% 28.75/6.78  % (754981)Time elapsed: 0.747 s
% 28.75/6.78  % (754981)Peak memory usage: 107 MB
% 28.75/6.78  % (754981)Instructions burned: 907 (million)
% 28.75/6.78  % (754988)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=546023967:st=8:i=592:sd=3:ep=RST:ss=axioms_2965 on theBenchmark for (2965ds/592Mi)
% 28.75/6.78  % (754990)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=1845179830:st=3:i=13193:sd=3:ss=axioms_2963 on theBenchmark for (2963ds/13193Mi)
% 28.75/6.78  % (754992)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=1668947406:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2962 on theBenchmark for (2962ds/125Mi)
% 28.75/6.78  % (754992)Instruction limit reached! 
% 28.75/6.78  % (754992)------------------------------
% 49.41/9.92  % (754992)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 49.41/9.92  % (754992)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 49.41/9.92  % (754992)CaDiCaL version: 2.1.3
% 49.41/9.92  % (754992)Termination reason: Instruction limit
% 49.41/9.92  % (754992)Termination phase: Property scanning
% 49.41/9.92  % (754992)Time elapsed: 0.069 s
% 49.41/9.92  % (754992)Peak memory usage: 97 MB
% 49.41/9.92  % (754992)Instructions burned: 125 (million)
% 49.41/9.92  % (754995)lrs+10_1024_to=lpo:sil=8000:tgt=full:sp=arity:slsq=on:random_seed=2202336353:i=134:gtgl=5:slsql=off:gtg=exists_sym_2960 on theBenchmark for (2960ds/134Mi)
% 49.41/9.92  % (754988)Instruction limit reached! 
% 49.41/9.92  % (754988)------------------------------
% 49.41/9.92  % (754988)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 49.41/9.92  % (754988)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 49.41/9.92  % (754988)CaDiCaL version: 2.1.3
% 49.41/9.92  % (754988)Termination reason: Instruction limit
% 49.41/9.92  % (754988)Termination phase: Property scanning
% 49.41/9.92  % (754988)Time elapsed: 0.487 s
% 49.41/9.92  % (754988)Peak memory usage: 107 MB
% 49.41/9.92  % (754988)Instructions burned: 593 (million)
% 49.41/9.92  % (754995)Instruction limit reached! 
% 49.41/9.92  % (754995)------------------------------
% 49.41/9.92  % (754995)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 49.41/9.92  % (754995)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 49.41/9.92  % (754995)CaDiCaL version: 2.1.3
% 49.41/9.92  % (754995)Termination reason: Instruction limit
% 49.41/9.92  % (754995)Termination phase: Property scanning
% 49.41/9.92  % (754995)Time elapsed: 0.104 s
% 49.41/9.92  % (754995)Peak memory usage: 97 MB
% 49.41/9.92  % (754995)Instructions burned: 135 (million)
% 49.41/9.92  % (754949)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 49.41/9.92  % (754997)lrs+10_1_sil=16000:plsq=on:plsqc=1:plsqr=32,1:sos=on:lcm=reverse:fd=off:newcnf=on:random_seed=4239046015:i=141:sd=1:gsp=on:sup=off:ss=axioms:sgt=8_2957 on theBenchmark for (2957ds/141Mi)
% 49.41/9.92  % (754998)lrs+1011_1_sil=8000:plsq=on:sp=occurrence:fs=off:random_seed=2737588355:i=431:sd=1:fsr=off:sup=off:ss=axioms:sgt=64_2957 on theBenchmark for (2957ds/431Mi)
% 49.41/9.92  % (754997)Instruction limit reached! 
% 49.41/9.92  % (754997)------------------------------
% 49.41/9.92  % (754997)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 49.41/9.92  % (754997)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 49.41/9.92  % (754997)CaDiCaL version: 2.1.3
% 49.41/9.92  % (754997)Termination reason: Instruction limit
% 49.41/9.92  % (754997)Termination phase: Property scanning
% 49.41/9.92  % (754997)Time elapsed: 0.136 s
% 49.41/9.92  % (754997)Peak memory usage: 99 MB
% 49.41/9.92  % (754997)Instructions burned: 141 (million)
% 49.41/9.92  % (755003)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=587322184:i=6060:aac=none:ins=25_2954 on theBenchmark for (2954ds/6060Mi)
% 49.41/9.92  % Exception at run slice level
% 49.41/9.92  User error: GNN currently only supports monomorphic FOL.
% 49.41/9.92  % Exception at run slice level
% 49.41/9.92  User error: GNN currently only supports monomorphic FOL.
% 49.41/9.92  % (754998)Instruction limit reached! 
% 49.41/9.92  % (754998)------------------------------
% 49.41/9.92  % (754998)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 49.41/9.92  % (754998)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 49.41/9.92  % (754998)CaDiCaL version: 2.1.3
% 49.41/9.92  % (754998)Termination reason: Instruction limit
% 49.41/9.92  % (754998)Termination phase: Property scanning
% 49.41/9.92  % (754998)Time elapsed: 0.364 s
% 49.41/9.92  % (754998)Peak memory usage: 107 MB
% 49.41/9.92  % (754998)Instructions burned: 432 (million)
% 49.41/9.92  % Exception at run slice level
% 49.41/9.92  User error: GNN currently only supports monomorphic FOL.
% 49.41/9.92  % (755005)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=139940710:avsq=on:s2a=on:i=150:kws=precedence:nicw=on:gsp=on:rawr=on_2952 on theBenchmark for (2952ds/150Mi)
% 49.41/9.92  % (755008)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=5551164:s2a=on:i=185:s2at=1.8:fdi=4_2951 on theBenchmark for (2951ds/185Mi)
% 69.04/12.50  % (755006)lrs+1010_1_ncem=casc2026/models/loop8.pt:sil=64000:tgt=ground:npcc=on:sp=arity:urr=on:random_seed=692418422:i=14155:bd=all_2952 on theBenchmark for (2952ds/14155Mi)
% 69.04/12.50  % (755007)lrs+10_1024_sil=16000:plsq=on:plsqr=32,1:sos=all:fs=off:gs=on:newcnf=on:random_seed=4153067316:i=667:av=off:fsr=off_2951 on theBenchmark for (2951ds/667Mi)
% 69.04/12.50  % Exception at run slice level
% 69.04/12.50  User error: GNN currently only supports monomorphic FOL.
% 69.04/12.50  % (755008)Instruction limit reached! 
% 69.04/12.50  % (755008)------------------------------
% 69.04/12.50  % (755008)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 69.04/12.50  % (755008)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 69.04/12.50  % (755008)CaDiCaL version: 2.1.3
% 69.04/12.50  % (755008)Termination reason: Instruction limit
% 69.04/12.50  % (755008)Termination phase: SInE selection
% 69.04/12.50  % (755008)Time elapsed: 0.086 s
% 69.04/12.50  % (755008)Peak memory usage: 97 MB
% 69.04/12.50  % (755008)Instructions burned: 186 (million)
% 69.04/12.50  % (755005)Instruction limit reached! 
% 69.04/12.50  % (755005)------------------------------
% 69.04/12.50  % (755005)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 69.04/12.50  % (755005)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 69.04/12.50  % (755005)CaDiCaL version: 2.1.3
% 69.04/12.50  % (755005)Termination reason: Instruction limit
% 69.04/12.50  % (755005)Termination phase: Initialization
% 69.04/12.50  % (755005)Time elapsed: 0.128 s
% 69.04/12.50  % (755005)Peak memory usage: 101 MB
% 69.04/12.50  % (755005)Instructions burned: 151 (million)
% 69.04/12.50  % (755015)dis+1010_14_anc=all:to=lpo:sil=8000:sp=arity:slsq=on:random_seed=1518895793:i=193:ins=10:fsr=off:ss=axioms:fsd=on_2950 on theBenchmark for (2950ds/193Mi)
% 69.04/12.50  % (755015)Instruction limit reached! 
% 69.04/12.50  % (755015)------------------------------
% 69.04/12.50  % (755015)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 69.04/12.50  % (755015)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 69.04/12.50  % (755015)CaDiCaL version: 2.1.3
% 69.04/12.50  % (755015)Termination reason: Instruction limit
% 69.04/12.50  % (755015)Termination phase: Initialization
% 69.04/12.50  % (755015)Time elapsed: 0.089 s
% 69.04/12.50  % (755015)Peak memory usage: 101 MB
% 69.04/12.50  % (755015)Instructions burned: 195 (million)
% 69.04/12.50  % (755017)lrs+1011_1_ncem=casc2026/models/loop8.pt:sil=32000:tgt=ground:npcc=on:sp=const_frequency:acc=on:urr=on:random_seed=1301078519:i=12111:sd=1:ss=included_2949 on theBenchmark for (2949ds/12111Mi)
% 69.04/12.50  % (755016)dis+1011_7_sil=8000:sp=occurrence:sos=all:fd=off:random_seed=1045963380:st=5.3:i=4850:sd=4:av=off:sup=off:ss=included:sgt=16_2949 on theBenchmark for (2949ds/4850Mi)
% 69.04/12.50  % (755020)lrs-11_32_anc=all:sil=8000:spb=goal_then_units:sac=on:random_seed=1614400046:i=319:kws=precedence:fsr=off_2947 on theBenchmark for (2947ds/319Mi)
% 69.04/12.50  % (755020)Instruction limit reached! 
% 69.04/12.50  % (755020)------------------------------
% 69.04/12.50  % (755020)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 69.04/12.50  % (755020)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 69.04/12.50  % (755020)CaDiCaL version: 2.1.3
% 69.04/12.50  % (755020)Termination reason: Instruction limit
% 69.04/12.50  % (755020)Termination phase: Initialization
% 69.04/12.50  % (755020)Time elapsed: 0.147 s
% 69.04/12.50  % (755020)Peak memory usage: 104 MB
% 69.04/12.50  % (755020)Instructions burned: 321 (million)
% 69.04/12.50  % (755007)Instruction limit reached! 
% 69.04/12.50  % (755007)------------------------------
% 69.04/12.50  % (755007)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 69.04/12.50  % (755007)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 69.04/12.50  % (755007)CaDiCaL version: 2.1.3
% 69.04/12.50  % (755007)Termination reason: Instruction limit
% 69.04/12.50  % (755007)Termination phase: NewCNF
% 69.04/12.50  % (755007)Time elapsed: 0.619 s
% 69.04/12.50  % (755007)Peak memory usage: 119 MB
% 69.04/12.50  % (755007)Instructions burned: 668 (million)
% 69.04/12.50  % Exception at run slice level
% 69.04/12.50  User error: GNN currently only supports monomorphic FOL.
% 69.04/12.50  % (755027)dis+2_1024_sil=8000:sp=reverse_arity:sos=on:lcm=reverse:sac=on:random_seed=3162337921:i=2064:ep=RST_2944 on theBenchmark for (2944ds/2064Mi)
% 69.04/12.50  % (755028)dis-1011_128_sil=32000:random_seed=2744883202:i=3706:ep=RST:av=off_2944 on theBenchmark for (2944ds/3706Mi)
% 83.03/14.58  % (755029)lrs-1002_1_sil=8000:plsq=on:plsqr=32,1:sp=occurrence:sos=on:fs=off:gs=on:newcnf=on:random_seed=2274829757:i=757:sd=2:fsr=off:ss=axioms:sgt=40_2943 on theBenchmark for (2943ds/757Mi)
% 83.03/14.58  % (755029)Instruction limit reached! 
% 83.03/14.58  % (755029)------------------------------
% 83.03/14.58  % (755029)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 83.03/14.58  % (755029)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 83.03/14.58  % (755029)CaDiCaL version: 2.1.3
% 83.03/14.58  % (755029)Termination reason: Instruction limit
% 83.03/14.58  % (755029)Termination phase: Property scanning
% 83.03/14.58  % (755029)Time elapsed: 0.613 s
% 83.03/14.58  % (755029)Peak memory usage: 106 MB
% 83.03/14.58  % (755029)Instructions burned: 758 (million)
% 83.03/14.58  % (755027)Instruction limit reached! 
% 83.03/14.58  % (755027)------------------------------
% 83.03/14.58  % (755027)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 83.03/14.58  % (755027)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 83.03/14.58  % (755027)CaDiCaL version: 2.1.3
% 83.03/14.58  % (755027)Termination reason: Instruction limit
% 83.03/14.58  % (755027)Termination phase: Property scanning
% 83.03/14.58  % (755027)Time elapsed: 0.773 s
% 83.03/14.58  % (755027)Peak memory usage: 123 MB
% 83.03/14.58  % (755027)Instructions burned: 2065 (million)
% 83.03/14.58  % (755034)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:sp=const_frequency:sos=all:lma=off:random_seed=3453433259:i=9925:aac=none_2935 on theBenchmark for (2935ds/9925Mi)
% 83.03/14.58  % (755033)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=64000:npcc=on:sp=occurrence:random_seed=1494265699:i=13913:ss=axioms:sgt=8_2935 on theBenchmark for (2935ds/13913Mi)
% 83.03/14.58  % Exception at run slice level
% 83.03/14.58  User error: GNN currently only supports monomorphic FOL.
% 83.03/14.58  % (755016)Refutation not found, incomplete strategy
% 83.03/14.58  % (755016)------------------------------
% 83.03/14.58  % (755016)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 83.03/14.58  % (755016)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 83.03/14.58  % (755016)CaDiCaL version: 2.1.3
% 83.03/14.58  % (755016)Termination reason: Refutation not found, incomplete strategy
% 83.03/14.58  % (755016)Time elapsed: 2.636 s
% 83.03/14.58  % (755016)Peak memory usage: 140 MB
% 83.03/14.58  % (755016)Instructions burned: 3124 (million)
% 83.03/14.58  % (755037)dis-1010_50_to=lpo:sil=32000:sp=arity:sos=on:spb=goal_then_units:urr=ec_only:slsq=on:random_seed=1740201114:i=2479:sd=2:nm=16:fsr=off:ss=axioms_2922 on theBenchmark for (2922ds/2479Mi)
% 83.03/14.58  % Exception at run slice level
% 83.03/14.58  User error: GNN currently only supports monomorphic FOL.
% 83.03/14.58  % Exception at run slice level
% 83.03/14.58  User error: GNN currently only supports monomorphic FOL.
% 83.03/14.58  % (755016)------------------------------
% 83.03/14.58  % (755016)------------------------------
% 83.03/14.58  % (755043)ott+1002_64_sil=16000:sp=const_min:nwc=0.5:random_seed=1455652556:i=440:nm=2:av=off:gtg=exists_all:fdi=8:gsp=on_2915 on theBenchmark for (2915ds/440Mi)
% 83.03/14.58  % (755044)dis-1011_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:erd=off:lsd=100:bsr=unit_only:random_seed=2485295854:st=1.5:i=11145:s2at=3:sd=3:fsr=off:ss=axioms_2914 on theBenchmark for (2914ds/11145Mi)
% 83.03/14.58  % Exception at run slice level
% 83.03/14.58  User error: GNN currently only supports monomorphic FOL.
% 83.03/14.58  % Exception at run slice level
% 83.03/14.58  User error: GNN currently only supports monomorphic FOL.
% 83.03/14.58  % (755028)Instruction limit reached! 
% 83.03/14.58  % (755028)------------------------------
% 83.03/14.58  % (755028)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 83.03/14.58  % (755028)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 83.03/14.58  % (755028)CaDiCaL version: 2.1.3
% 83.03/14.58  % (755028)Termination reason: Instruction limit
% 83.03/14.58  % (755028)Termination phase: Saturation
% 83.03/14.58  % (755028)Time elapsed: 2.995 s
% 83.03/14.58  % (755028)Peak memory usage: 132 MB
% 83.03/14.58  % (755028)Instructions burned: 3707 (million)
% 83.03/14.58  % (755045)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=2713567559:cts=off:i=3034:av=off:er=known:fsd=on_2913 on theBenchmark for (2913ds/3034Mi)
% 83.03/14.58  % (755049)lrs+1011_16:1_sil=8000:acc=on:urr=on:fd=preordered:flr=on:random_seed=225256990:avsq=on:i=1016:avsqr=676809,524288:sd=1:ss=axioms_2912 on theBenchmark for (2912ds/1016Mi)
% 95.00/16.16  % (755048)lrs-1011_64:1_sil=8000:erd=off:urr=on:nwc=0.7:br=off:random_seed=2715651776:st=2:s2a=on:i=524:s2at=2:ss=axioms_2912 on theBenchmark for (2912ds/524Mi)
% 95.00/16.16  % (755050)lrs+1010_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:drc=off:fde=none:s2agt=16:random_seed=4038295487:i=14123:bd=preordered:ins=4_2911 on theBenchmark for (2911ds/14123Mi)
% 95.00/16.16  % (755043)Instruction limit reached! 
% 95.00/16.16  % (755043)------------------------------
% 95.00/16.16  % (755043)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 95.00/16.16  % (755043)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 95.00/16.16  % (755043)CaDiCaL version: 2.1.3
% 95.00/16.16  % (755043)Termination reason: Instruction limit
% 95.00/16.16  % (755043)Termination phase: Property scanning
% 95.00/16.16  % (755043)Time elapsed: 0.346 s
% 95.00/16.16  % (755043)Peak memory usage: 97 MB
% 95.00/16.16  % (755043)Instructions burned: 444 (million)
% 95.00/16.16  % (755055)dis+10_4096_slsqr=16,1:sil=32000:tgt=full:plsq=on:bsr=unit_only:slsqc=1:slsq=on:random_seed=1563054970:i=5781:kws=precedence:bd=all:rawr=on_2909 on theBenchmark for (2909ds/5781Mi)
% 95.00/16.16  % (755048)Instruction limit reached! 
% 95.00/16.16  % (755048)------------------------------
% 95.00/16.16  % (755048)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 95.00/16.16  % (755048)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 95.00/16.16  % (755048)CaDiCaL version: 2.1.3
% 95.00/16.16  % (755048)Termination reason: Instruction limit
% 95.00/16.16  % (755048)Termination phase: Property scanning
% 95.00/16.16  % (755048)Time elapsed: 0.436 s
% 95.00/16.16  % (755048)Peak memory usage: 107 MB
% 95.00/16.16  % (755048)Instructions burned: 524 (million)
% 95.00/16.16  % (755057)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=357478153:i=2448:gtgl=5:bd=preordered:gtg=all_2905 on theBenchmark for (2905ds/2448Mi)
% 95.00/16.16  % Exception at run slice level
% 95.00/16.16  User error: GNN currently only supports monomorphic FOL.
% 95.00/16.16  % (755049)Instruction limit reached! 
% 95.00/16.16  % (755049)------------------------------
% 95.00/16.16  % (755049)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 95.00/16.16  % (755049)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 95.00/16.16  % (755049)CaDiCaL version: 2.1.3
% 95.00/16.16  % (755049)Termination reason: Instruction limit
% 95.00/16.16  % (755049)Termination phase: Saturation
% 95.00/16.16  % (755049)Time elapsed: 0.854 s
% 95.00/16.16  % (755049)Peak memory usage: 111 MB
% 95.00/16.16  % (755049)Instructions burned: 1016 (million)
% 95.00/16.16  % (755059)lrs+1011_1_ncem=casc2026/models/loop5.pt:sil=32000:tgt=full:npcc=on:lcm=reverse:random_seed=312997476:i=3223:kws=precedence:fgj=on:av=off_2902 on theBenchmark for (2902ds/3223Mi)
% 95.00/16.16  % (755060)lrs+1002_1_ncem=casc2026/models/loop4.pt:sil=8000:npcc=on:sp=occurrence:sos=on:random_seed=3947541416:st=5.6:i=2033:sd=3:ss=axioms_2902 on theBenchmark for (2902ds/2033Mi)
% 95.00/16.16  % (755037)Instruction limit reached! 
% 95.00/16.16  % (755037)------------------------------
% 95.00/16.16  % (755037)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 95.00/16.16  % (755037)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 95.00/16.16  % (755037)CaDiCaL version: 2.1.3
% 95.00/16.16  % (755037)Termination reason: Instruction limit
% 95.00/16.16  % (755037)Termination phase: Saturation
% 95.00/16.16  % (755037)Time elapsed: 2.088 s
% 95.00/16.16  % (755037)Peak memory usage: 119 MB
% 95.00/16.16  % (755037)Instructions burned: 2480 (million)
% 95.00/16.16  % (755065)lrs-1010_1_ncem=casc2026/models/loop8.pt:sil=64000:npcc=on:bsd=on:random_seed=2037468395:i=2055:nm=16:gtg=position:ss=axioms:fsd=on_2899 on theBenchmark for (2899ds/2055Mi)
% 95.00/16.16  % Exception at run slice level
% 95.00/16.16  User error: GNN currently only supports monomorphic FOL.
% 95.00/16.16  % (755045)Instruction limit reached! 
% 95.00/16.16  % (755045)------------------------------
% 95.00/16.16  % (755045)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 95.00/16.16  % (755045)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 95.00/16.16  % (755045)CaDiCaL version: 2.1.3
% 95.00/16.16  % (755045)Termination reason: Instruction limit
% 95.00/16.16  % (755045)Termination phase: Saturation
% 95.00/16.16  % (755045)Time elapsed: 2.641 s
% 95.00/16.16  % (755045)Peak memory usage: 141 MB
% 95.00/16.16  % (755045)Instructions burned: 3034 (million)
% 95.00/16.16  % (755071)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=2454916946:i=21611:sd=3:ss=axioms_2886 on theBenchmark for (2886ds/21611Mi)
% 112.51/18.68  % (755057)Instruction limit reached! 
% 112.51/18.68  % (755057)------------------------------
% 112.51/18.68  % (755057)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 112.51/18.68  % (755057)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 112.51/18.68  % (755057)CaDiCaL version: 2.1.3
% 112.51/18.68  % (755057)Termination reason: Instruction limit
% 112.51/18.68  % (755057)Termination phase: Property scanning
% 112.51/18.68  % (755057)Time elapsed: 2.031 s
% 112.51/18.68  % (755057)Peak memory usage: 122 MB
% 112.51/18.68  % (755057)Instructions burned: 2449 (million)
% 112.51/18.68  % (755072)lrs+10_1_sil=8000:sp=occurrence:sos=all:lma=off:random_seed=4034946406:i=4835:sd=13:ss=axioms:sgt=23_2885 on theBenchmark for (2885ds/4835Mi)
% 112.51/18.68  % Exception at run slice level
% 112.51/18.68  User error: GNN currently only supports monomorphic FOL.
% 112.51/18.68  % (755060)Instruction limit reached! 
% 112.51/18.68  % (755060)------------------------------
% 112.51/18.68  % (755060)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 112.51/18.68  % (755060)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 112.51/18.68  % (755060)CaDiCaL version: 2.1.3
% 112.51/18.68  % (755060)Termination reason: Instruction limit
% 112.51/18.68  % (755060)Termination phase: Saturation
% 112.51/18.68  % (755060)Time elapsed: 1.791 s
% 112.51/18.68  % (755060)Peak memory usage: 125 MB
% 112.51/18.68  % (755060)Instructions burned: 2033 (million)
% 112.51/18.68  % (755075)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=3894420021:st=5:i=797:s2at=3:sd=4:bs=unit_only:av=off:sup=off:ss=included_2883 on theBenchmark for (2883ds/797Mi)
% 112.51/18.68  % (755076)lrs-1011_5_sil=8000:sp=const_max:sos=on:lsd=50:rnwc=on:rp=on:nwc=2.6:alpa=false:random_seed=139366240:i=2326:kws=inv_precedence:aac=none:nicw=on:bs=unit_only:nm=16:ins=2:fsd=on_2882 on theBenchmark for (2882ds/2326Mi)
% 112.51/18.68  % (755065)Instruction limit reached! 
% 112.51/18.68  % (755065)------------------------------
% 112.51/18.68  % (755065)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 112.51/18.68  % (755065)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 112.51/18.68  % (755065)CaDiCaL version: 2.1.3
% 112.51/18.68  % (755065)Termination reason: Instruction limit
% 112.51/18.68  % (755065)Termination phase: Saturation
% 112.51/18.68  % (755065)Time elapsed: 1.782 s
% 112.51/18.68  % (755065)Peak memory usage: 129 MB
% 112.51/18.68  % (755065)Instructions burned: 2056 (million)
% 112.51/18.68  % (755077)lrs+10_1_ncem=casc2026/models/loop5.pt:sil=8000:npcc=on:sos=all:urr=on:br=off:random_seed=995195235:i=6038:nm=6_2882 on theBenchmark for (2882ds/6038Mi)
% 112.51/18.68  % (755083)lrs+10_1_sil=32000:sp=occurrence:random_seed=3206296877:st=2:i=33334:sd=3:ss=included:sgt=32_2880 on theBenchmark for (2880ds/33334Mi)
% 112.51/18.68  % (755075)Instruction limit reached! 
% 112.51/18.68  % (755075)------------------------------
% 112.51/18.68  % (755075)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 112.51/18.68  % (755075)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 112.51/18.68  % (755075)CaDiCaL version: 2.1.3
% 112.51/18.68  % (755075)Termination reason: Instruction limit
% 112.51/18.68  % (755075)Termination phase: NewCNF
% 112.51/18.68  % (755075)Time elapsed: 0.714 s
% 112.51/18.68  % (755075)Peak memory usage: 113 MB
% 112.51/18.68  % (755075)Instructions burned: 798 (million)
% 112.51/18.68  % (755085)lrs+10_4_sil=8000:plsq=on:plsqr=1,64:sp=occurrence:urr=on:bsr=on:br=off:random_seed=2382064482:st=3.7:s2a=on:i=1008:s2at=1.2:sd=3:bd=all:av=off:fdi=8:sup=off:ss=axioms_2874 on theBenchmark for (2874ds/1008Mi)
% 112.51/18.68  % Exception at run slice level
% 112.51/18.68  User error: GNN currently only supports monomorphic FOL.
% 112.51/18.68  % (755087)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=3983647662:i=8327:s2at=5:bd=preordered_2868 on theBenchmark for (2868ds/8327Mi)
% 112.51/18.68  % (755085)Instruction limit reached! 
% 112.51/18.68  % (755085)------------------------------
% 112.51/18.68  % (755085)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 112.51/18.68  % (755085)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 112.51/18.68  % (755085)CaDiCaL version: 2.1.3
% 112.51/18.68  % (755085)Termination reason: Instruction limit
% 112.51/18.68  % (755085)Termination phase: SInE selection
% 112.51/18.68  % (755085)Time elapsed: 0.851 s
% 112.51/18.68  % (755085)Peak memory usage: 108 MB
% 112.51/18.68  % (755085)Instructions burned: 1008 (million)
% 112.51/18.68  % (755091)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=631919673:s2a=on:i=1083:s2at=1.87328:slsql=off:ep=RSTC:fdi=16_2863 on theBenchmark for (2863ds/1083Mi)
% 112.51/18.68  % (755076)Instruction limit reached! 
% 112.51/18.68  % (755076)------------------------------
% 112.51/18.68  % (755076)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 112.51/18.68  % (755076)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 112.51/18.68  % (755076)CaDiCaL version: 2.1.3
% 112.51/18.68  % (755076)Termination reason: Instruction limit
% 112.51/18.68  % (755076)Termination phase: Property scanning
% 112.51/18.68  % (755076)Time elapsed: 1.943 s
% 112.51/18.68  % (755076)Peak memory usage: 125 MB
% 112.51/18.68  % (755076)Instructions burned: 2326 (million)
% 112.51/18.68  % (755072)Instruction limit reached! 
% 112.51/18.68  % (755072)------------------------------
% 112.51/18.68  % (755072)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 112.51/18.68  % (755072)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 112.51/18.68  % (755072)CaDiCaL version: 2.1.3
% 112.51/18.68  % (755072)Termination reason: Instruction limit
% 112.51/18.68  % (755072)Termination phase: Saturation
% 112.51/18.68  % (755072)Time elapsed: 2.253 s
% 112.51/18.68  % (755072)Peak memory usage: 137 MB
% 112.51/18.68  % (755072)Instructions burned: 4836 (million)
% 112.51/18.68  % (755094)lrs+1010_1_ncem=casc2026/models/loop8.pt:sil=32000:tgt=full:npcc=on:erd=off:spb=goal:sac=on:newcnf=on:random_seed=3113820896:i=6995:s2at=5:gtg=all_2861 on theBenchmark for (2861ds/6995Mi)
% 112.51/18.68  % (755093)lrs-1004_3_to=lpo:sil=16000:drc=off:sims=off:spb=goal:fd=preordered:random_seed=61430155:i=1084:sd=1:bd=preordered:av=off:fsr=off:ss=axioms:sgt=14_2861 on theBenchmark for (2861ds/1084Mi)
% 112.51/18.68  % (755055)Instruction limit reached! 
% 112.51/18.68  % (755055)------------------------------
% 112.51/18.68  % (755055)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 112.51/18.68  % (755055)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 112.51/18.68  % (755055)CaDiCaL version: 2.1.3
% 112.51/18.68  % (755055)Termination reason: Instruction limit
% 112.51/18.68  % (755055)Termination phase: Saturation
% 112.51/18.68  % (755055)Time elapsed: 5.184 s
% 112.51/18.68  % (755055)Peak memory usage: 141 MB
% 112.51/18.68  % (755055)Instructions burned: 5781 (million)
% 112.51/18.68  % (755097)lrs+10_1_sil=32000:sp=occurrence:sos=on:urr=on:rnwc=on:random_seed=591655530:st=2:i=6225:sd=15:ss=axioms_2855 on theBenchmark for (2855ds/6225Mi)
% 112.51/18.68  % (755091)Instruction limit reached! 
% 112.51/18.68  % (755091)------------------------------
% 112.51/18.68  % (755091)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 112.51/18.68  % (755091)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 112.51/18.68  % (755091)CaDiCaL version: 2.1.3
% 112.51/18.68  % (755091)Termination reason: Instruction limit
% 112.51/18.68  % (755091)Termination phase: Preprocessing 2
% 112.51/18.68  % (755091)Time elapsed: 0.923 s
% 112.51/18.68  % (755091)Peak memory usage: 109 MB
% 112.51/18.68  % (755091)Instructions burned: 1083 (million)
% 112.51/18.68  % Exception at run slice level
% 112.51/18.68  User error: GNN currently only supports monomorphic FOL.
% 112.51/18.68  % (755093)Instruction limit reached! 
% 112.51/18.68  % (755093)------------------------------
% 112.51/18.68  % (755093)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 112.51/18.68  % (755093)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 112.51/18.68  % (755093)CaDiCaL version: 2.1.3
% 112.51/18.68  % (755093)Termination reason: Instruction limit
% 112.51/18.68  % (755093)Termination phase: Saturation
% 112.51/18.68  % (755093)Time elapsed: 0.904 s
% 112.51/18.68  % (755093)Peak memory usage: 111 MB
% 112.51/18.68  % (755093)Instructions burned: 1084 (million)
% 112.51/18.68  % (755099)dis-1011_1_ncem=casc2026/models/loop7.pt:sil=64000:npcc=on:lcm=reverse:random_seed=2703181284:cond=fast:i=3372:sd=1:nm=16:gtg=position:ss=axioms_2852 on theBenchmark for (2852ds/3372Mi)
% 112.51/18.68  % (755100)lrs+1010_1_ncem=casc2026/models/loop8.pt:sil=64000:npcc=on:sos=all:random_seed=72842231:st=2.3:i=26457:sd=10:ss=included:sgt=8_2852 on theBenchmark for (2852ds/26457Mi)
% 112.51/18.68  % (755102)lrs+10_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:tgt=ground:npcc=on:sp=const_frequency:acc=on:urr=on:foolp=on:s2agt=20:sac=on:random_seed=1297610840:i=13494:s2at=1.31:bd=all:ins=10:gtg=exists_top_2850 on theBenchmark for (2850ds/13494Mi)
% 112.51/18.68  % Exception at run slice level
% 112.51/18.68  User error: Immediate (shared) subterms of term/literal aa(X0,fun(X2,X1),X3,X4) = sF3791(X0,X2,X1,X3,X4) have different types/not well-typed!
% 112.51/18.68  % (755105)dis-1010_1_ncem=casc2026/models/loop5.pt:sil=32000:npcc=on:fde=unused:sp=const_min:spb=goal_then_units:lcm=predicate:acc=on:flr=on:random_seed=2780597801:i=2503:nm=4:gsp=on:ss=axioms:sgt=15_2846 on theBenchmark for (2846ds/2503Mi)
% 112.51/18.68  % Exception at run slice level
% 112.51/18.68  User error: GNN currently only supports monomorphic FOL.
% 112.51/18.68  % (755105)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 112.51/18.68  % (755109)lrs+1011_1_ncem=casc2026/models/loop1.pt:sil=16000:npcc=on:sos=on:lsd=10:random_seed=4029123130:i=2559:sd=1:ep=RSTC:ss=axioms_2838 on theBenchmark for (2838ds/2559Mi)
% 112.51/18.68  % Exception at run slice level
% 112.51/18.68  User error: GNN currently only supports monomorphic FOL.
% 112.51/18.68  % (755111)ott+1_1_ncem=casc2026/models/loop8.pt:sil=64000:tgt=full:npcc=on:fdtod=off:random_seed=2370050246:i=30753:av=off:ss=included_2835 on theBenchmark for (2835ds/30753Mi)
% 112.51/18.68  % Exception at run slice level
% 112.51/18.68  User error: GNN currently only supports monomorphic FOL.
% 112.51/18.68  % (755113)lrs+10_1024_sil=64000:plsq=on:plsqc=4:plsqr=128,1:urr=on:plsql=on:br=off:random_seed=765452958:i=26473:ep=RSTC_2832 on theBenchmark for (2832ds/26473Mi)
% 112.51/18.68  % (755097)First to succeed.
% 112.51/18.68  % (755097)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-754917"
% 112.51/18.68  % (755097)Refutation found. Thanks to Tanya!
% 112.51/18.68  % SZS status Theorem for theBenchmark
% 112.51/18.68  % SZS output start Proof for theBenchmark
% See solution above
% 113.36/19.00  % (755097)------------------------------
% 113.36/19.00  % (755097)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 113.36/19.00  % (755097)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 113.36/19.00  % (755097)CaDiCaL version: 2.1.3
% 113.36/19.00  % (755097)Termination reason: Refutation
% 113.36/19.00  % (755097)Time elapsed: 2.565 s
% 113.36/19.00  % (755097)Peak memory usage: 136 MB
% 113.36/19.00  % (755097)Instructions burned: 2927 (million)
% 113.36/19.00  % (755097)------------------------------
% 113.36/19.00  % (755097)------------------------------
% 113.36/19.00  % (754917)Success in time 17.695 s
% 113.36/19.00  % Vampire exiting
%------------------------------------------------------------------------------