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Vampire---5.0.1.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : ITP221_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 : n003.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 11:30:36 AM UTC 2026

% Result   : Theorem 68.64s 11.53s
% Output   : Refutation 70.07s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   21
%            Number of leaves      :   19
% Syntax   : Number of formulae    :  105 (  40 unt;   0 typ;   6 def)
%            Number of atoms       :  185 (  41 equ)
%            Maximal formula atoms :    6 (   1 avg)
%            Number of connectives :  121 (  48   ~;  60   |;   4   &)
%                                         (   7 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   2 avg)
%            Maximal term depth    :    8 (   2 avg)
%            Number of FOOLs       :   12 (  12 fml;   0 var)
%            Number of types       :   13 (  12 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of predicates  :  809 ( 806 usr;   6 prp; 0-9 aty)
%            Number of functors    : 4245 (4245 usr; 102 con; 0-10 aty)
%            Number of variables   :   44 (   0 sgn  44   !;   0   ?;  44   :)

% 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,
    fun: ( $tType * $tType ) > $tType ).

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

tff(func_def_808,type,
    archimedean_ceiling: 
      !>[X0: $tType] : ( X0 > int ) ).

tff(func_def_809,type,
    archim6421214686448440834_floor: 
      !>[X0: $tType] : ( X0 > int ) ).

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

tff(func_def_811,type,
    archimedean_round: 
      !>[X0: $tType] : ( X0 > int ) ).

tff(func_def_812,type,
    bNF_Gr: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,X1) ) > set(product_prod(X0,X1)) ) ).

tff(func_def_813,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_814,type,
    bNF_Gr4221423524335903396lImage: 
      !>[X0: $tType,X1: $tType] : ( ( set(product_prod(X0,X0)) * fun(X0,X1) ) > set(product_prod(X1,X1)) ) ).

tff(func_def_815,type,
    bNF_Gr7122648621184425601vImage: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * set(product_prod(X1,X1)) * fun(X0,X1) ) > set(product_prod(X0,X0)) ) ).

tff(func_def_816,type,
    bNF_Wellorder_Func: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * set(X1) ) > set(fun(X0,X1)) ) ).

tff(func_def_817,type,
    bNF_We4925052301507509544nc_map: 
      !>[X0: $tType,X1: $tType,X2: $tType,X3: $tType] : ( ( set(X0) * fun(X1,X2) * fun(X0,X3) ) > fun(fun(X3,X1),fun(X0,X2)) ) ).

tff(func_def_818,type,
    basic_BNF_size_prod: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,nat) * fun(X1,nat) * product_prod(X0,X1) ) > nat ) ).

tff(func_def_819,type,
    binomial: nat > fun(nat,nat) ).

tff(func_def_820,type,
    gbinomial: 
      !>[X0: $tType] : ( X0 > fun(nat,X0) ) ).

tff(func_def_821,type,
    bit_and_int_rel: fun(product_prod(int,int),fun(product_prod(int,int),$o)) ).

tff(func_def_822,type,
    bit_and_not_num: ( num * num ) > option(num) ).

tff(func_def_823,type,
    bit_and_not_num_rel: fun(product_prod(num,num),fun(product_prod(num,num),$o)) ).

tff(func_def_824,type,
    bit_concat_bit: ( nat * int ) > fun(int,int) ).

tff(func_def_825,type,
    bit_or_not_num_neg: ( num * num ) > num ).

tff(func_def_826,type,
    bit_or3848514188828904588eg_rel: fun(product_prod(num,num),fun(product_prod(num,num),$o)) ).

tff(func_def_827,type,
    bit_ri4277139882892585799ns_not: 
      !>[X0: $tType] : fun(X0,X0) ).

tff(func_def_828,type,
    bit_ri4674362597316999326ke_bit: 
      !>[X0: $tType] : ( nat > fun(X0,X0) ) ).

tff(func_def_829,type,
    bit_se5824344872417868541ns_and: 
      !>[X0: $tType] : fun(X0,fun(X0,X0)) ).

tff(func_def_830,type,
    bit_se4197421643247451524op_bit: 
      !>[X0: $tType] : ( nat > fun(X0,X0) ) ).

tff(func_def_831,type,
    bit_se8732182000553998342ip_bit: 
      !>[X0: $tType] : ( ( nat * X0 ) > X0 ) ).

tff(func_def_832,type,
    bit_se2239418461657761734s_mask: 
      !>[X0: $tType] : ( nat > X0 ) ).

tff(func_def_833,type,
    bit_se1065995026697491101ons_or: 
      !>[X0: $tType] : fun(X0,fun(X0,X0)) ).

tff(func_def_834,type,
    bit_se4730199178511100633sh_bit: 
      !>[X0: $tType] : ( nat > fun(X0,X0) ) ).

tff(func_def_835,type,
    bit_se5668285175392031749et_bit: 
      !>[X0: $tType] : fun(nat,fun(X0,X0)) ).

tff(func_def_836,type,
    bit_se2584673776208193580ke_bit: 
      !>[X0: $tType] : ( nat > fun(X0,X0) ) ).

tff(func_def_837,type,
    bit_se2638667681897837118et_bit: 
      !>[X0: $tType] : fun(nat,fun(X0,X0)) ).

tff(func_def_838,type,
    bit_se5824344971392196577ns_xor: 
      !>[X0: $tType] : fun(X0,fun(X0,X0)) ).

tff(func_def_839,type,
    bit_se5641148757651400278ts_bit: 
      !>[X0: $tType] : ( X0 > fun(nat,$o) ) ).

tff(func_def_840,type,
    bit_take_bit_num: ( nat * num ) > option(num) ).

tff(func_def_841,type,
    bit_un1837492267222099188nd_num: fun(num,fun(num,option(num))) ).

tff(func_def_842,type,
    bit_un5425074673868309765um_rel: fun(product_prod(num,num),fun(product_prod(num,num),$o)) ).

tff(func_def_843,type,
    bit_un6178654185764691216or_num: fun(num,fun(num,option(num))) ).

tff(func_def_844,type,
    bit_un3595099601533988841um_rel: fun(product_prod(num,num),fun(product_prod(num,num),$o)) ).

tff(func_def_845,type,
    bit_un7362597486090784418nd_num: fun(num,fun(num,option(num))) ).

tff(func_def_846,type,
    bit_un4731106466462545111um_rel: fun(product_prod(num,num),fun(product_prod(num,num),$o)) ).

tff(func_def_847,type,
    bit_un2480387367778600638or_num: fun(num,fun(num,option(num))) ).

tff(func_def_848,type,
    bit_un2901131394128224187um_rel: fun(product_prod(num,num),fun(product_prod(num,num),$o)) ).

tff(func_def_849,type,
    code_bit_cut_integer: code_integer > product_prod(code_integer,$o) ).

tff(func_def_850,type,
    code_divmod_abs: ( code_integer * code_integer ) > product_prod(code_integer,code_integer) ).

tff(func_def_851,type,
    code_divmod_integer: ( code_integer * code_integer ) > product_prod(code_integer,code_integer) ).

tff(func_def_852,type,
    code_int_of_integer: code_integer > int ).

tff(func_def_853,type,
    code_integer_of_int: int > code_integer ).

tff(func_def_854,type,
    code_integer_of_num: num > code_integer ).

tff(func_def_855,type,
    code_nat_of_integer: code_integer > nat ).

tff(func_def_856,type,
    code_num_of_integer: code_integer > num ).

tff(func_def_857,type,
    complete_Inf_Inf: 
      !>[X0: $tType] : fun(set(X0),X0) ).

tff(func_def_858,type,
    complete_Sup_Sup: 
      !>[X0: $tType] : fun(set(X0),X0) ).

tff(func_def_859,type,
    arg: complex > real ).

tff(func_def_860,type,
    cis: real > complex ).

tff(func_def_861,type,
    cnj: complex > complex ).

tff(func_def_862,type,
    complex2: ( real * real ) > complex ).

tff(func_def_863,type,
    im: complex > real ).

tff(func_def_864,type,
    re: complex > real ).

tff(func_def_865,type,
    csqrt: complex > complex ).

tff(func_def_866,type,
    imaginary_unit: complex ).

tff(func_def_867,type,
    rcis: ( real * real ) > complex ).

tff(func_def_868,type,
    adjust_div: product_prod(int,int) > int ).

tff(func_def_869,type,
    adjust_mod: ( int * int ) > int ).

tff(func_def_870,type,
    divmod_nat: ( nat * nat ) > product_prod(nat,nat) ).

tff(func_def_871,type,
    unique8689654367752047608divmod: 
      !>[X0: $tType] : ( ( num * num ) > product_prod(X0,X0) ) ).

tff(func_def_872,type,
    unique1321980374590559556d_step: 
      !>[X0: $tType] : ( ( num * product_prod(X0,X0) ) > product_prod(X0,X0) ) ).

tff(func_def_873,type,
    comm_s3205402744901411588hammer: 
      !>[X0: $tType] : ( ( X0 * nat ) > X0 ) ).

tff(func_def_874,type,
    semiring_char_0_fact: 
      !>[X0: $tType] : ( nat > X0 ) ).

tff(func_def_875,type,
    inverse_inverse: 
      !>[X0: $tType] : fun(X0,X0) ).

tff(func_def_876,type,
    at_bot: 
      !>[X0: $tType] : filter(X0) ).

tff(func_def_877,type,
    at_top: 
      !>[X0: $tType] : filter(X0) ).

tff(func_def_878,type,
    finite5375528669736107172at_top: 
      !>[X0: $tType] : ( set(X0) > filter(set(X0)) ) ).

tff(func_def_879,type,
    map_filter_on: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,X1) * filter(X0) ) > filter(X1) ) ).

tff(func_def_880,type,
    principal: 
      !>[X0: $tType] : ( set(X0) > filter(X0) ) ).

tff(func_def_881,type,
    finite_Fpow: 
      !>[X0: $tType] : ( set(X0) > set(set(X0)) ) ).

tff(func_def_882,type,
    finite_card: 
      !>[X0: $tType] : fun(set(X0),nat) ).

tff(func_def_883,type,
    finite_finite: 
      !>[X0: $tType] : fun(set(X0),$o) ).

tff(func_def_884,type,
    finite_fold: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,fun(X1,X1)) * X1 * set(X0) ) > X1 ) ).

tff(func_def_885,type,
    finite_folding_F: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,fun(X1,X1)) * X1 ) > fun(set(X0),X1) ) ).

tff(func_def_886,type,
    comp: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( fun(X0,X1) > fun(fun(X2,X0),fun(X2,X1)) ) ).

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

tff(func_def_888,type,
    id: 
      !>[X0: $tType] : fun(X0,X0) ).

tff(func_def_889,type,
    map_fun: 
      !>[X0: $tType,X1: $tType,X2: $tType,X3: $tType] : ( ( fun(X0,X1) * fun(X2,X3) * fun(X1,X2) ) > fun(X0,X3) ) ).

tff(func_def_890,type,
    the_inv_into: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,X1) * X1 ) > X0 ) ).

tff(func_def_891,type,
    gcd_Gcd: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_892,type,
    bezw: ( nat * nat ) > product_prod(int,int) ).

tff(func_def_893,type,
    bezw_rel: fun(product_prod(nat,nat),fun(product_prod(nat,nat),$o)) ).

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

tff(func_def_895,type,
    gcd_nat_rel: fun(product_prod(nat,nat),fun(product_prod(nat,nat),$o)) ).

tff(func_def_896,type,
    abs_abs: 
      !>[X0: $tType] : fun(X0,X0) ).

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

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

tff(func_def_899,type,
    plus_plus: 
      !>[X0: $tType] : fun(X0,fun(X0,X0)) ).

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

tff(func_def_901,type,
    times_times: 
      !>[X0: $tType] : fun(X0,fun(X0,X0)) ).

tff(func_def_902,type,
    uminus_uminus: 
      !>[X0: $tType] : fun(X0,X0) ).

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

tff(func_def_904,type,
    groups7311177749621191930dd_sum: 
      !>[X0: $tType,X1: $tType] : ( fun(X0,X1) > fun(set(X0),X1) ) ).

tff(func_def_905,type,
    groups1027152243600224163dd_sum: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * set(X0) ) > X1 ) ).

tff(func_def_906,type,
    groups7121269368397514597t_prod: 
      !>[X0: $tType,X1: $tType] : fun(fun(X0,X1),fun(set(X0),X1)) ).

tff(func_def_907,type,
    groups1962203154675924110t_prod: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * set(X0) ) > X1 ) ).

tff(func_def_908,type,
    groups4207007520872428315er_sum: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * X1 * list(X0) ) > X1 ) ).

tff(func_def_909,type,
    groups8242544230860333062m_list: 
      !>[X0: $tType] : ( list(X0) > X0 ) ).

tff(func_def_910,type,
    groups5270119922927024881d_list: 
      !>[X0: $tType] : ( list(X0) > X0 ) ).

tff(func_def_911,type,
    the: 
      !>[X0: $tType] : ( fun(X0,$o) > X0 ) ).

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

tff(func_def_913,type,
    abs_Integ: product_prod(nat,nat) > int ).

tff(func_def_914,type,
    rep_Integ: int > product_prod(nat,nat) ).

tff(func_def_915,type,
    int_ge_less_than: int > set(product_prod(int,int)) ).

tff(func_def_916,type,
    int_ge_less_than2: int > set(product_prod(int,int)) ).

tff(func_def_917,type,
    nat2: int > nat ).

tff(func_def_918,type,
    ring_1_Ints: 
      !>[X0: $tType] : set(X0) ).

tff(func_def_919,type,
    ring_1_of_int: 
      !>[X0: $tType] : ( int > X0 ) ).

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

tff(func_def_921,type,
    sup_sup: 
      !>[X0: $tType] : fun(X0,fun(X0,X0)) ).

tff(func_def_922,type,
    lattices_Max: 
      !>[X0: $tType] : ( fun(X0,fun(X0,$o)) > fun(set(X0),X0) ) ).

tff(func_def_923,type,
    lattices_Min: 
      !>[X0: $tType] : ( fun(X0,fun(X0,$o)) > fun(set(X0),X0) ) ).

tff(func_def_924,type,
    lattic643756798349783984er_Max: 
      !>[X0: $tType] : fun(set(X0),X0) ).

tff(func_def_925,type,
    lattic643756798350308766er_Min: 
      !>[X0: $tType] : fun(set(X0),X0) ).

tff(func_def_926,type,
    lattic7623131987881927897min_on: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * set(X0) ) > X0 ) ).

tff(func_def_927,type,
    lattic7752659483105999362nf_fin: 
      !>[X0: $tType] : fun(set(X0),X0) ).

tff(func_def_928,type,
    lattic5882676163264333800up_fin: 
      !>[X0: $tType] : fun(set(X0),X0) ).

tff(func_def_929,type,
    at_infinity: 
      !>[X0: $tType] : filter(X0) ).

tff(func_def_930,type,
    bleast: 
      !>[X0: $tType] : ( ( set(X0) * fun(X0,$o) ) > X0 ) ).

tff(func_def_931,type,
    abort_Bleast: 
      !>[X0: $tType] : ( ( set(X0) * fun(X0,$o) ) > X0 ) ).

tff(func_def_932,type,
    append: 
      !>[X0: $tType] : fun(list(X0),fun(list(X0),list(X0))) ).

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

tff(func_def_934,type,
    arg_min_list_rel: 
      !>[X0: $tType,X1: $tType] : fun(product_prod(fun(X0,X1),list(X0)),fun(product_prod(fun(X0,X1),list(X0)),$o)) ).

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

tff(func_def_936,type,
    butlast: 
      !>[X0: $tType] : fun(list(X0),list(X0)) ).

tff(func_def_937,type,
    concat: 
      !>[X0: $tType] : ( list(list(X0)) > list(X0) ) ).

tff(func_def_938,type,
    coset: 
      !>[X0: $tType] : ( list(X0) > set(X0) ) ).

tff(func_def_939,type,
    count_list: 
      !>[X0: $tType] : ( list(X0) > fun(X0,nat) ) ).

tff(func_def_940,type,
    drop: 
      !>[X0: $tType] : ( ( nat * list(X0) ) > list(X0) ) ).

tff(func_def_941,type,
    dropWhile: 
      !>[X0: $tType] : ( ( fun(X0,$o) * list(X0) ) > list(X0) ) ).

tff(func_def_942,type,
    enumerate: 
      !>[X0: $tType] : ( ( nat * list(X0) ) > list(product_prod(nat,X0)) ) ).

tff(func_def_943,type,
    extract: 
      !>[X0: $tType] : ( ( fun(X0,$o) * list(X0) ) > option(product_prod(list(X0),product_prod(X0,list(X0)))) ) ).

tff(func_def_944,type,
    filter2: 
      !>[X0: $tType] : ( fun(X0,$o) > fun(list(X0),list(X0)) ) ).

tff(func_def_945,type,
    find: 
      !>[X0: $tType] : ( ( fun(X0,$o) * list(X0) ) > option(X0) ) ).

tff(func_def_946,type,
    fold: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,fun(X1,X1)) * list(X0) ) > fun(X1,X1) ) ).

tff(func_def_947,type,
    foldr: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,fun(X1,X1)) * list(X0) ) > fun(X1,X1) ) ).

tff(func_def_948,type,
    lenlex: 
      !>[X0: $tType] : ( set(product_prod(X0,X0)) > set(product_prod(list(X0),list(X0))) ) ).

tff(func_def_949,type,
    lex: 
      !>[X0: $tType] : ( set(product_prod(X0,X0)) > set(product_prod(list(X0),list(X0))) ) ).

tff(func_def_950,type,
    lexn: 
      !>[X0: $tType] : ( set(product_prod(X0,X0)) > fun(nat,set(product_prod(list(X0),list(X0)))) ) ).

tff(func_def_951,type,
    lexord: 
      !>[X0: $tType] : ( set(product_prod(X0,X0)) > set(product_prod(list(X0),list(X0))) ) ).

tff(func_def_952,type,
    insort_key: 
      !>[X0: $tType,X1: $tType] : ( fun(X0,fun(X0,$o)) > fun(fun(X1,X0),fun(X1,fun(list(X1),list(X1)))) ) ).

tff(func_def_953,type,
    sorted8670434370408473282of_set: 
      !>[X0: $tType,X1: $tType] : ( fun(X0,fun(X0,$o)) > fun(fun(X1,X0),fun(set(X1),list(X1))) ) ).

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

tff(func_def_955,type,
    linorder_sort_key: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * list(X0) ) > list(X0) ) ).

tff(func_def_956,type,
    linord144544945434240204of_set: 
      !>[X0: $tType,X1: $tType] : ( fun(X0,X1) > fun(set(X0),list(X0)) ) ).

tff(func_def_957,type,
    linord4507533701916653071of_set: 
      !>[X0: $tType] : fun(set(X0),list(X0)) ).

tff(func_def_958,type,
    cons: 
      !>[X0: $tType] : fun(X0,fun(list(X0),list(X0))) ).

tff(func_def_959,type,
    nil: 
      !>[X0: $tType] : list(X0) ).

tff(func_def_960,type,
    case_list: 
      !>[X0: $tType,X1: $tType] : ( ( X0 * fun(X1,fun(list(X1),X0)) ) > fun(list(X1),X0) ) ).

tff(func_def_961,type,
    hd: 
      !>[X0: $tType] : fun(list(X0),X0) ).

tff(func_def_962,type,
    list_all2: 
      !>[X0: $tType,X1: $tType] : ( fun(X0,fun(X1,$o)) > fun(list(X0),fun(list(X1),$o)) ) ).

tff(func_def_963,type,
    map: 
      !>[X0: $tType,X1: $tType] : ( fun(X0,X1) > fun(list(X0),list(X1)) ) ).

tff(func_def_964,type,
    set2: 
      !>[X0: $tType] : fun(list(X0),set(X0)) ).

tff(func_def_965,type,
    size_list: 
      !>[X0: $tType] : ( fun(X0,nat) > fun(list(X0),nat) ) ).

tff(func_def_966,type,
    tl: 
      !>[X0: $tType] : fun(list(X0),list(X0)) ).

tff(func_def_967,type,
    list_update: 
      !>[X0: $tType] : ( ( list(X0) * nat * X0 ) > list(X0) ) ).

tff(func_def_968,type,
    listrel: 
      !>[X0: $tType,X1: $tType] : ( set(product_prod(X0,X1)) > set(product_prod(list(X0),list(X1))) ) ).

tff(func_def_969,type,
    listrel1: 
      !>[X0: $tType] : ( set(product_prod(X0,X0)) > set(product_prod(list(X0),list(X0))) ) ).

tff(func_def_970,type,
    listrelp: 
      !>[X0: $tType,X1: $tType] : ( fun(X0,fun(X1,$o)) > fun(list(X0),fun(list(X1),$o)) ) ).

tff(func_def_971,type,
    lists: 
      !>[X0: $tType] : ( set(X0) > set(list(X0)) ) ).

tff(func_def_972,type,
    listset: 
      !>[X0: $tType] : ( list(set(X0)) > set(list(X0)) ) ).

tff(func_def_973,type,
    map_filter: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,option(X1)) * list(X0) ) > list(X1) ) ).

tff(func_def_974,type,
    min_list: 
      !>[X0: $tType] : ( list(X0) > X0 ) ).

tff(func_def_975,type,
    min_list_rel: 
      !>[X0: $tType] : fun(list(X0),fun(list(X0),$o)) ).

tff(func_def_976,type,
    n_lists: 
      !>[X0: $tType] : ( ( nat * list(X0) ) > list(list(X0)) ) ).

tff(func_def_977,type,
    nth: 
      !>[X0: $tType] : ( list(X0) > fun(nat,X0) ) ).

tff(func_def_978,type,
    nths: 
      !>[X0: $tType] : ( ( list(X0) * set(nat) ) > list(X0) ) ).

tff(func_def_979,type,
    partition: 
      !>[X0: $tType] : ( ( fun(X0,$o) * list(X0) ) > product_prod(list(X0),list(X0)) ) ).

tff(func_def_980,type,
    product: 
      !>[X0: $tType,X1: $tType] : ( ( list(X0) * list(X1) ) > list(product_prod(X0,X1)) ) ).

tff(func_def_981,type,
    product_lists: 
      !>[X0: $tType] : ( list(list(X0)) > list(list(X0)) ) ).

tff(func_def_982,type,
    remdups: 
      !>[X0: $tType] : ( list(X0) > list(X0) ) ).

tff(func_def_983,type,
    remdups_adj: 
      !>[X0: $tType] : ( list(X0) > list(X0) ) ).

tff(func_def_984,type,
    remdups_adj_rel: 
      !>[X0: $tType] : fun(list(X0),fun(list(X0),$o)) ).

tff(func_def_985,type,
    remove1: 
      !>[X0: $tType] : ( ( X0 * list(X0) ) > list(X0) ) ).

tff(func_def_986,type,
    removeAll: 
      !>[X0: $tType] : ( X0 > fun(list(X0),list(X0)) ) ).

tff(func_def_987,type,
    replicate: 
      !>[X0: $tType] : ( ( nat * X0 ) > list(X0) ) ).

tff(func_def_988,type,
    rev: 
      !>[X0: $tType] : fun(list(X0),list(X0)) ).

tff(func_def_989,type,
    rotate: 
      !>[X0: $tType] : ( nat > fun(list(X0),list(X0)) ) ).

tff(func_def_990,type,
    rotate1: 
      !>[X0: $tType] : fun(list(X0),list(X0)) ).

tff(func_def_991,type,
    set_Cons: 
      !>[X0: $tType] : ( ( set(X0) * set(list(X0)) ) > set(list(X0)) ) ).

tff(func_def_992,type,
    shuffles: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) ) > set(list(X0)) ) ).

tff(func_def_993,type,
    shuffles_rel: 
      !>[X0: $tType] : fun(product_prod(list(X0),list(X0)),fun(product_prod(list(X0),list(X0)),$o)) ).

tff(func_def_994,type,
    sorted_wrt_rel: 
      !>[X0: $tType] : fun(product_prod(fun(X0,fun(X0,$o)),list(X0)),fun(product_prod(fun(X0,fun(X0,$o)),list(X0)),$o)) ).

tff(func_def_995,type,
    splice: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) ) > list(X0) ) ).

tff(func_def_996,type,
    splice_rel: 
      !>[X0: $tType] : fun(product_prod(list(X0),list(X0)),fun(product_prod(list(X0),list(X0)),$o)) ).

tff(func_def_997,type,
    subseqs: 
      !>[X0: $tType] : ( list(X0) > list(list(X0)) ) ).

tff(func_def_998,type,
    take: 
      !>[X0: $tType] : ( ( nat * list(X0) ) > list(X0) ) ).

tff(func_def_999,type,
    takeWhile: 
      !>[X0: $tType] : ( ( fun(X0,$o) * list(X0) ) > list(X0) ) ).

tff(func_def_1000,type,
    transpose: 
      !>[X0: $tType] : ( list(list(X0)) > list(list(X0)) ) ).

tff(func_def_1001,type,
    transpose_rel: 
      !>[X0: $tType] : fun(list(list(X0)),fun(list(list(X0)),$o)) ).

tff(func_def_1002,type,
    union: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) ) > list(X0) ) ).

tff(func_def_1003,type,
    upt: ( nat * nat ) > list(nat) ).

tff(func_def_1004,type,
    upto: ( int * int ) > list(int) ).

tff(func_def_1005,type,
    upto_aux: ( int * int * list(int) ) > list(int) ).

tff(func_def_1006,type,
    upto_rel: fun(product_prod(int,int),fun(product_prod(int,int),$o)) ).

tff(func_def_1007,type,
    zip: 
      !>[X0: $tType,X1: $tType] : ( ( list(X0) * list(X1) ) > list(product_prod(X0,X1)) ) ).

tff(func_def_1008,type,
    dom: 
      !>[X0: $tType,X1: $tType] : ( fun(X0,option(X1)) > set(X0) ) ).

tff(func_def_1009,type,
    graph: 
      !>[X0: $tType,X1: $tType] : ( fun(X0,option(X1)) > set(product_prod(X0,X1)) ) ).

tff(func_def_1010,type,
    map_of: 
      !>[X0: $tType,X1: $tType] : ( list(product_prod(X0,X1)) > fun(X0,option(X1)) ) ).

tff(func_def_1011,type,
    map_upds: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,option(X1)) * list(X0) * list(X1) ) > fun(X0,option(X1)) ) ).

tff(func_def_1012,type,
    ran: 
      !>[X0: $tType,X1: $tType] : ( fun(X0,option(X1)) > set(X1) ) ).

tff(func_def_1013,type,
    restrict_map: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,option(X1)) * set(X0) ) > fun(X0,option(X1)) ) ).

tff(func_def_1014,type,
    suc: fun(nat,nat) ).

tff(func_def_1015,type,
    compow: 
      !>[X0: $tType] : fun(nat,fun(X0,X0)) ).

tff(func_def_1016,type,
    funpow: 
      !>[X0: $tType] : fun(nat,fun(fun(X0,X0),fun(X0,X0))) ).

tff(func_def_1017,type,
    case_nat: 
      !>[X0: $tType] : ( ( X0 * fun(nat,X0) * nat ) > X0 ) ).

tff(func_def_1018,type,
    pred: nat > nat ).

tff(func_def_1019,type,
    rec_nat: 
      !>[X0: $tType] : ( ( X0 * fun(nat,fun(X0,X0)) ) > fun(nat,X0) ) ).

tff(func_def_1020,type,
    rec_set_nat: 
      !>[X0: $tType] : ( ( X0 * fun(nat,fun(X0,X0)) * nat ) > fun(X0,$o) ) ).

tff(func_def_1021,type,
    semiring_1_Nats: 
      !>[X0: $tType] : set(X0) ).

tff(func_def_1022,type,
    semiring_1_of_nat: 
      !>[X0: $tType] : fun(nat,X0) ).

tff(func_def_1023,type,
    semiri8178284476397505188at_aux: 
      !>[X0: $tType] : ( ( fun(X0,X0) * nat * X0 ) > X0 ) ).

tff(func_def_1024,type,
    size_size: 
      !>[X0: $tType] : fun(X0,nat) ).

tff(func_def_1025,type,
    nat_list_encode: list(nat) > nat ).

tff(func_def_1026,type,
    nat_list_encode_rel: fun(list(nat),fun(list(nat),$o)) ).

tff(func_def_1027,type,
    nat_prod_decode_aux: ( nat * nat ) > product_prod(nat,nat) ).

tff(func_def_1028,type,
    nat_pr5047031295181774490ux_rel: fun(product_prod(nat,nat),fun(product_prod(nat,nat),$o)) ).

tff(func_def_1029,type,
    nat_prod_encode: fun(product_prod(nat,nat),nat) ).

tff(func_def_1030,type,
    nat_set_decode: nat > set(nat) ).

tff(func_def_1031,type,
    nat_set_encode: fun(set(nat),nat) ).

tff(func_def_1032,type,
    nat_triangle: nat > nat ).

tff(func_def_1033,type,
    root: nat > fun(real,real) ).

tff(func_def_1034,type,
    sqrt: fun(real,real) ).

tff(func_def_1035,type,
    bitM: num > num ).

tff(func_def_1036,type,
    inc: num > num ).

tff(func_def_1037,type,
    neg_numeral_dbl: 
      !>[X0: $tType] : ( X0 > X0 ) ).

tff(func_def_1038,type,
    neg_numeral_dbl_dec: 
      !>[X0: $tType] : ( X0 > X0 ) ).

tff(func_def_1039,type,
    neg_numeral_dbl_inc: 
      !>[X0: $tType] : ( X0 > X0 ) ).

tff(func_def_1040,type,
    neg_numeral_sub: 
      !>[X0: $tType] : ( ( num * num ) > X0 ) ).

tff(func_def_1041,type,
    bit0: fun(num,num) ).

tff(func_def_1042,type,
    bit1: fun(num,num) ).

tff(func_def_1043,type,
    one2: num ).

tff(func_def_1044,type,
    case_num: 
      !>[X0: $tType] : ( ( X0 * fun(num,X0) * fun(num,X0) * num ) > X0 ) ).

tff(func_def_1045,type,
    size_num: num > nat ).

tff(func_def_1046,type,
    num_of_nat: nat > num ).

tff(func_def_1047,type,
    numeral_numeral: 
      !>[X0: $tType] : fun(num,X0) ).

tff(func_def_1048,type,
    pow: ( num * num ) > num ).

tff(func_def_1049,type,
    pred_numeral: num > nat ).

tff(func_def_1050,type,
    sqr: num > num ).

tff(func_def_1051,type,
    none: 
      !>[X0: $tType] : option(X0) ).

tff(func_def_1052,type,
    some: 
      !>[X0: $tType] : fun(X0,option(X0)) ).

tff(func_def_1053,type,
    case_option: 
      !>[X0: $tType,X1: $tType] : ( ( X0 * fun(X1,X0) * option(X1) ) > X0 ) ).

tff(func_def_1054,type,
    map_option: 
      !>[X0: $tType,X1: $tType] : ( fun(X0,X1) > fun(option(X0),option(X1)) ) ).

tff(func_def_1055,type,
    size_option: 
      !>[X0: $tType] : ( ( fun(X0,nat) * option(X0) ) > nat ) ).

tff(func_def_1056,type,
    the2: 
      !>[X0: $tType] : fun(option(X0),X0) ).

tff(func_def_1057,type,
    these: 
      !>[X0: $tType] : ( set(option(X0)) > set(X0) ) ).

tff(func_def_1058,type,
    bot_bot: 
      !>[X0: $tType] : X0 ).

tff(func_def_1059,type,
    max: 
      !>[X0: $tType] : ( fun(X0,fun(X0,$o)) > fun(X0,fun(X0,X0)) ) ).

tff(func_def_1060,type,
    min: 
      !>[X0: $tType] : ( fun(X0,fun(X0,$o)) > fun(X0,fun(X0,X0)) ) ).

tff(func_def_1061,type,
    ord_less: 
      !>[X0: $tType] : fun(X0,fun(X0,$o)) ).

tff(func_def_1062,type,
    ord_less_eq: 
      !>[X0: $tType] : fun(X0,fun(X0,$o)) ).

tff(func_def_1063,type,
    ord_max: 
      !>[X0: $tType] : fun(X0,fun(X0,X0)) ).

tff(func_def_1064,type,
    ord_min: 
      !>[X0: $tType] : fun(X0,fun(X0,X0)) ).

tff(func_def_1065,type,
    order_Greatest: 
      !>[X0: $tType] : ( fun(X0,$o) > X0 ) ).

tff(func_def_1066,type,
    top_top: 
      !>[X0: $tType] : X0 ).

tff(func_def_1067,type,
    power2: 
      !>[X0: $tType] : ( ( X0 * fun(X0,fun(X0,X0)) ) > fun(X0,fun(nat,X0)) ) ).

tff(func_def_1068,type,
    power_power: 
      !>[X0: $tType] : ( X0 > fun(nat,X0) ) ).

tff(func_def_1069,type,
    product_Pair: 
      !>[X0: $tType,X1: $tType] : ( X0 > fun(X1,product_prod(X0,X1)) ) ).

tff(func_def_1070,type,
    product_Sigma: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,set(X1)) ) > set(product_prod(X0,X1)) ) ).

tff(func_def_1071,type,
    product_apsnd: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( fun(X0,X1) * product_prod(X2,X0) ) > product_prod(X2,X1) ) ).

tff(func_def_1072,type,
    product_case_prod: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( fun(X0,fun(X1,X2)) > fun(product_prod(X0,X1),X2) ) ).

tff(func_def_1073,type,
    product_fst: 
      !>[X0: $tType,X1: $tType] : fun(product_prod(X0,X1),X0) ).

tff(func_def_1074,type,
    product_snd: 
      !>[X0: $tType,X1: $tType] : fun(product_prod(X0,X1),X1) ).

tff(func_def_1075,type,
    product_product: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * set(X1) ) > set(product_prod(X0,X1)) ) ).

tff(func_def_1076,type,
    fract: ( int * int ) > rat ).

tff(func_def_1077,type,
    rep_Rat: fun(rat,product_prod(int,int)) ).

tff(func_def_1078,type,
    field_char_0_Rats: 
      !>[X0: $tType] : set(X0) ).

tff(func_def_1079,type,
    field_char_0_of_rat: 
      !>[X0: $tType] : fun(rat,X0) ).

tff(func_def_1080,type,
    normalize: product_prod(int,int) > product_prod(int,int) ).

tff(func_def_1081,type,
    positive: fun(rat,$o) ).

tff(func_def_1082,type,
    real_Vector_Reals: 
      !>[X0: $tType] : set(X0) ).

tff(func_def_1083,type,
    real_V557655796197034286t_dist: 
      !>[X0: $tType] : ( ( X0 * X0 ) > real ) ).

tff(func_def_1084,type,
    real_V7770717601297561774m_norm: 
      !>[X0: $tType] : ( X0 > real ) ).

tff(func_def_1085,type,
    real_Vector_of_real: 
      !>[X0: $tType] : ( real > X0 ) ).

tff(func_def_1086,type,
    real_V8093663219630862766scaleR: 
      !>[X0: $tType] : ( real > fun(X0,X0) ) ).

tff(func_def_1087,type,
    id2: 
      !>[X0: $tType] : set(product_prod(X0,X0)) ).

tff(func_def_1088,type,
    id_on: 
      !>[X0: $tType] : ( set(X0) > set(product_prod(X0,X0)) ) ).

tff(func_def_1089,type,
    relcomp: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( set(product_prod(X0,X1)) * set(product_prod(X1,X2)) ) > set(product_prod(X0,X2)) ) ).

tff(func_def_1090,type,
    divide_divide: 
      !>[X0: $tType] : ( ( X0 * X0 ) > X0 ) ).

tff(func_def_1091,type,
    modulo_modulo: 
      !>[X0: $tType] : ( ( X0 * X0 ) > X0 ) ).

tff(func_def_1092,type,
    zero_neq_one_of_bool: 
      !>[X0: $tType] : fun($o,X0) ).

tff(func_def_1093,type,
    suminf: 
      !>[X0: $tType] : ( fun(nat,X0) > X0 ) ).

tff(func_def_1094,type,
    collect: 
      !>[X0: $tType] : ( fun(X0,$o) > set(X0) ) ).

tff(func_def_1095,type,
    pow2: 
      !>[X0: $tType] : ( set(X0) > set(set(X0)) ) ).

tff(func_def_1096,type,
    image: 
      !>[X0: $tType,X1: $tType] : ( fun(X0,X1) > fun(set(X0),set(X1)) ) ).

tff(func_def_1097,type,
    insert: 
      !>[X0: $tType] : fun(X0,fun(set(X0),set(X0))) ).

tff(func_def_1098,type,
    remove: 
      !>[X0: $tType] : fun(X0,fun(set(X0),set(X0))) ).

tff(func_def_1099,type,
    the_elem: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_1100,type,
    set_fo6178422350223883121st_nat: 
      !>[X0: $tType] : ( ( fun(nat,fun(X0,X0)) * nat * nat * X0 ) > X0 ) ).

tff(func_def_1101,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_1102,type,
    set_ord_atLeast: 
      !>[X0: $tType] : fun(X0,set(X0)) ).

tff(func_def_1103,type,
    set_or1337092689740270186AtMost: 
      !>[X0: $tType] : ( ( X0 * X0 ) > set(X0) ) ).

tff(func_def_1104,type,
    set_or7035219750837199246ssThan: 
      !>[X0: $tType] : ( ( X0 * X0 ) > set(X0) ) ).

tff(func_def_1105,type,
    set_ord_atMost: 
      !>[X0: $tType] : fun(X0,set(X0)) ).

tff(func_def_1106,type,
    set_ord_greaterThan: 
      !>[X0: $tType] : fun(X0,set(X0)) ).

tff(func_def_1107,type,
    set_or3652927894154168847AtMost: 
      !>[X0: $tType] : ( ( X0 * X0 ) > set(X0) ) ).

tff(func_def_1108,type,
    set_or5935395276787703475ssThan: 
      !>[X0: $tType] : ( ( X0 * X0 ) > set(X0) ) ).

tff(func_def_1109,type,
    set_ord_lessThan: 
      !>[X0: $tType] : fun(X0,set(X0)) ).

tff(func_def_1110,type,
    ascii_of: char > char ).

tff(func_def_1111,type,
    char2: ( $o * $o * $o * $o * $o * $o * $o * $o ) > char ).

tff(func_def_1112,type,
    comm_s6883823935334413003f_char: 
      !>[X0: $tType] : fun(char,X0) ).

tff(func_def_1113,type,
    integer_of_char: char > code_integer ).

tff(func_def_1114,type,
    unique5772411509450598832har_of: 
      !>[X0: $tType] : fun(X0,char) ).

tff(func_def_1115,type,
    topolo3827282254853284352ce_Lim: 
      !>[X0: $tType,X1: $tType] : ( ( filter(X0) * fun(X0,X1) ) > X1 ) ).

tff(func_def_1116,type,
    topolo174197925503356063within: 
      !>[X0: $tType] : ( ( X0 * set(X0) ) > filter(X0) ) ).

tff(func_def_1117,type,
    topolo7230453075368039082e_nhds: 
      !>[X0: $tType] : ( X0 > filter(X0) ) ).

tff(func_def_1118,type,
    topolo7806501430040627800ormity: 
      !>[X0: $tType] : filter(product_prod(X0,X0)) ).

tff(func_def_1119,type,
    arccos: fun(real,real) ).

tff(func_def_1120,type,
    arcosh: 
      !>[X0: $tType] : fun(X0,X0) ).

tff(func_def_1121,type,
    arcsin: fun(real,real) ).

tff(func_def_1122,type,
    arctan: fun(real,real) ).

tff(func_def_1123,type,
    arsinh: 
      !>[X0: $tType] : fun(X0,X0) ).

tff(func_def_1124,type,
    artanh: 
      !>[X0: $tType] : fun(X0,X0) ).

tff(func_def_1125,type,
    cos: 
      !>[X0: $tType] : ( X0 > X0 ) ).

tff(func_def_1126,type,
    cos_coeff: nat > real ).

tff(func_def_1127,type,
    cosh: 
      !>[X0: $tType] : ( X0 > X0 ) ).

tff(func_def_1128,type,
    cot: 
      !>[X0: $tType] : fun(X0,X0) ).

tff(func_def_1129,type,
    diffs: 
      !>[X0: $tType] : ( fun(nat,X0) > fun(nat,X0) ) ).

tff(func_def_1130,type,
    exp: 
      !>[X0: $tType] : ( X0 > X0 ) ).

tff(func_def_1131,type,
    ln_ln: 
      !>[X0: $tType] : fun(X0,X0) ).

tff(func_def_1132,type,
    log: real > fun(real,real) ).

tff(func_def_1133,type,
    pi: real ).

tff(func_def_1134,type,
    powr: 
      !>[X0: $tType] : ( ( X0 * X0 ) > X0 ) ).

tff(func_def_1135,type,
    sin: 
      !>[X0: $tType] : ( X0 > X0 ) ).

tff(func_def_1136,type,
    sin_coeff: nat > real ).

tff(func_def_1137,type,
    sinh: 
      !>[X0: $tType] : ( X0 > X0 ) ).

tff(func_def_1138,type,
    tan: 
      !>[X0: $tType] : fun(X0,X0) ).

tff(func_def_1139,type,
    tanh: 
      !>[X0: $tType] : fun(X0,X0) ).

tff(func_def_1140,type,
    transitive_ntrancl: 
      !>[X0: $tType] : ( ( nat * set(product_prod(X0,X0)) ) > set(product_prod(X0,X0)) ) ).

tff(func_def_1141,type,
    transitive_rtrancl: 
      !>[X0: $tType] : ( set(product_prod(X0,X0)) > set(product_prod(X0,X0)) ) ).

tff(func_def_1142,type,
    transitive_trancl: 
      !>[X0: $tType] : ( set(product_prod(X0,X0)) > set(product_prod(X0,X0)) ) ).

tff(func_def_1143,type,
    vEBT_Leaf: ( $o * $o ) > vEBT_VEBT ).

tff(func_def_1144,type,
    vEBT_Node: ( option(product_prod(nat,nat)) * nat * list(vEBT_VEBT) * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_1145,type,
    vEBT_case_VEBT: 
      !>[X0: $tType] : ( ( fun(option(product_prod(nat,nat)),fun(nat,fun(list(vEBT_VEBT),fun(vEBT_VEBT,X0)))) * fun($o,fun($o,X0)) * vEBT_VEBT ) > X0 ) ).

tff(func_def_1146,type,
    vEBT_size_VEBT: fun(vEBT_VEBT,nat) ).

tff(func_def_1147,type,
    vEBT_V8194947554948674370ptions: vEBT_VEBT > fun(nat,$o) ).

tff(func_def_1148,type,
    vEBT_VEBT_high: ( nat * nat ) > nat ).

tff(func_def_1149,type,
    vEBT_VEBT_low: ( nat * nat ) > nat ).

tff(func_def_1150,type,
    vEBT_V4351362008482014158ma_rel: fun(product_prod(vEBT_VEBT,nat),fun(product_prod(vEBT_VEBT,nat),$o)) ).

tff(func_def_1151,type,
    vEBT_V5765760719290551771er_rel: fun(product_prod(vEBT_VEBT,nat),fun(product_prod(vEBT_VEBT,nat),$o)) ).

tff(func_def_1152,type,
    vEBT_VEBT_valid_rel: fun(product_prod(vEBT_VEBT,nat),fun(product_prod(vEBT_VEBT,nat),$o)) ).

tff(func_def_1153,type,
    vEBT_set_vebt: vEBT_VEBT > set(nat) ).

tff(func_def_1154,type,
    vEBT_vebt_buildup: nat > vEBT_VEBT ).

tff(func_def_1155,type,
    vEBT_v4011308405150292612up_rel: fun(nat,fun(nat,$o)) ).

tff(func_def_1156,type,
    accp: 
      !>[X0: $tType] : ( fun(X0,fun(X0,$o)) > fun(X0,$o) ) ).

tff(func_def_1157,type,
    finite_psubset: 
      !>[X0: $tType] : set(product_prod(set(X0),set(X0))) ).

tff(func_def_1158,type,
    max_ext: 
      !>[X0: $tType] : ( set(product_prod(X0,X0)) > set(product_prod(set(X0),set(X0))) ) ).

tff(func_def_1159,type,
    measure: 
      !>[X0: $tType] : ( fun(X0,nat) > set(product_prod(X0,X0)) ) ).

tff(func_def_1160,type,
    min_ext: 
      !>[X0: $tType] : ( set(product_prod(X0,X0)) > set(product_prod(set(X0),set(X0))) ) ).

tff(func_def_1161,type,
    mlex_prod: 
      !>[X0: $tType] : ( ( fun(X0,nat) * set(product_prod(X0,X0)) ) > set(product_prod(X0,X0)) ) ).

tff(func_def_1162,type,
    pred_nat: set(product_prod(nat,nat)) ).

tff(func_def_1163,type,
    aa: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * X0 ) > X1 ) ).

tff(func_def_1164,type,
    fChoice: 
      !>[X0: $tType] : ( fun(X0,$o) > X0 ) ).

tff(func_def_1165,type,
    fNot: fun($o,$o) ).

tff(func_def_1166,type,
    fequal: 
      !>[X0: $tType] : fun(X0,fun(X0,$o)) ).

tff(func_def_1167,type,
    deg: nat ).

tff(func_def_1168,type,
    info: option(product_prod(nat,nat)) ).

tff(func_def_1169,type,
    m: nat ).

tff(func_def_1170,type,
    ma: nat ).

tff(func_def_1171,type,
    mi: nat ).

tff(func_def_1172,type,
    n: nat ).

tff(func_def_1173,type,
    na: nat ).

tff(func_def_1174,type,
    summary: vEBT_VEBT ).

tff(func_def_1175,type,
    treeList: list(vEBT_VEBT) ).

tff(func_def_1176,type,
    x: nat ).

tff(func_def_1177,type,
    pos0: nat ).

tff(func_def_1178,type,
    pos1: nat ).

tff(func_def_1179,type,
    pos2: nat ).

tff(func_def_1180,type,
    pos3: nat ).

tff(func_def_1181,type,
    m24: 
      !>[X0: $tType] : X0 ).

tff(func_def_1182,type,
    m25: 
      !>[X0: $tType] : X0 ).

tff(func_def_1183,type,
    w6: 
      !>[X0: $tType] : X0 ).

tff(func_def_1184,type,
    w7: 
      !>[X0: $tType] : X0 ).

tff(func_def_1185,type,
    d8: int ).

tff(func_def_1186,type,
    l9: 
      !>[X0: $tType] : X0 ).

tff(func_def_1187,type,
    pos10: nat ).

tff(func_def_1188,type,
    pos11: nat ).

tff(func_def_1189,type,
    pos12: nat ).

tff(func_def_1190,type,
    pos13: nat ).

tff(func_def_1191,type,
    pos14: nat ).

tff(func_def_1192,type,
    pos15: nat ).

tff(func_def_1193,type,
    pos16: nat ).

tff(func_def_1194,type,
    pos17: nat ).

tff(func_def_1195,type,
    l18: 
      !>[X0: $tType] : X0 ).

tff(func_def_1196,type,
    half19: nat ).

tff(func_def_1197,type,
    half20: nat ).

tff(func_def_1198,type,
    half21: nat ).

tff(func_def_1199,type,
    half22: nat ).

tff(func_def_1200,type,
    pos23: nat ).

tff(func_def_1201,type,
    pos24: nat ).

tff(func_def_1202,type,
    pos25: nat ).

tff(func_def_1203,type,
    pos26: nat ).

tff(func_def_1204,type,
    pos27: nat ).

tff(func_def_1205,type,
    pos28: nat ).

tff(func_def_1206,type,
    pos29: nat ).

tff(func_def_1207,type,
    pos30: nat ).

tff(func_def_1208,type,
    pos31: nat ).

tff(func_def_1209,type,
    half32: nat ).

tff(func_def_1210,type,
    half33: nat ).

tff(func_def_1211,type,
    pv34: nat ).

tff(func_def_1212,type,
    pv35: nat ).

tff(func_def_1213,type,
    l36: code_integer ).

tff(func_def_1214,type,
    a237: int ).

tff(func_def_1215,type,
    a238: int ).

tff(func_def_1216,type,
    n239: nat ).

tff(func_def_1217,type,
    m240: nat ).

tff(func_def_1218,type,
    n241: nat ).

tff(func_def_1219,type,
    m242: nat ).

tff(func_def_1220,type,
    n243: nat ).

tff(func_def_1221,type,
    m244: nat ).

tff(func_def_1222,type,
    n245: nat ).

tff(func_def_1223,type,
    m246: nat ).

tff(func_def_1224,type,
    n247: nat ).

tff(func_def_1225,type,
    m248: nat ).

tff(func_def_1226,type,
    n249: nat ).

tff(func_def_1227,type,
    m250: nat ).

tff(func_def_1228,type,
    n251: nat ).

tff(func_def_1229,type,
    m252: nat ).

tff(func_def_1230,type,
    k53: code_integer ).

tff(func_def_1231,type,
    a354: 
      !>[X0: $tType] : set(set(X0)) ).

tff(func_def_1232,type,
    m255: 
      !>[X0: $tType] : X0 ).

tff(func_def_1233,type,
    m256: 
      !>[X0: $tType] : X0 ).

tff(func_def_1234,type,
    m257: 
      !>[X0: $tType] : X0 ).

tff(func_def_1235,type,
    xss58: 
      !>[X0: $tType] : list(list(X0)) ).

tff(func_def_1236,type,
    l259: int ).

tff(func_def_1237,type,
    m360: a ).

tff(func_def_1238,type,
    l261: num ).

tff(func_def_1239,type,
    l362: num ).

tff(func_def_1240,type,
    l263: nat ).

tff(func_def_1241,type,
    l364: nat ).

tff(func_def_1244,type,
    iG65: 
      !>[X0: $tType] : ( X0 > X0 ) ).

tff(func_def_1245,type,
    iG66: 
      !>[X0: $tType] : ( nat > X0 ) ).

tff(func_def_1246,type,
    iG67: ( nat * nat ) > nat ).

tff(func_def_1247,type,
    iG68: ( nat * nat ) > nat ).

tff(func_def_1248,type,
    bG69: $o > $o ).

tff(func_def_1249,type,
    bG70: $o > $o ).

tff(func_def_1250,type,
    bG71: $o > $o ).

tff(func_def_1251,type,
    bG72: $o > $o ).

tff(func_def_1252,type,
    bG73: $o > $o ).

tff(func_def_1253,type,
    bG74: $o > $o ).

tff(func_def_1254,type,
    bG75: $o > $o ).

tff(func_def_1255,type,
    bG76: $o > $o ).

tff(func_def_1256,type,
    bG77: $o > $o ).

tff(func_def_1257,type,
    bG78: $o > $o ).

tff(func_def_1258,type,
    bG79: $o > $o ).

tff(func_def_1259,type,
    bG80: $o > $o ).

tff(func_def_1260,type,
    bG81: $o > $o ).

tff(func_def_1261,type,
    bG82: $o > $o ).

tff(func_def_1262,type,
    iG83: ( int * int ) > int ).

tff(func_def_1263,type,
    bG84: $o > $o ).

tff(func_def_1264,type,
    bG85: $o > $o ).

tff(func_def_1265,type,
    bG86: $o > $o ).

tff(func_def_1266,type,
    bG87: $o > $o ).

tff(func_def_1267,type,
    bG88: $o > $o ).

tff(func_def_1268,type,
    bG89: $o > $o ).

tff(func_def_1269,type,
    bG90: $o > $o ).

tff(func_def_1270,type,
    bG91: $o > $o ).

tff(func_def_1271,type,
    bG92: $o > $o ).

tff(func_def_1272,type,
    bG93: $o > $o ).

tff(func_def_1273,type,
    bG96: $o > $o ).

tff(func_def_1274,type,
    bG97: $o > $o ).

tff(func_def_1275,type,
    bG98: $o > $o ).

tff(func_def_1276,type,
    bG99: $o > $o ).

tff(func_def_1277,type,
    bG100: $o > $o ).

tff(func_def_1278,type,
    iG101: ( nat * nat * nat ) > nat ).

tff(func_def_1279,type,
    bG102: $o > $o ).

tff(func_def_1280,type,
    bG103: $o > $o ).

tff(func_def_1281,type,
    bG104: $o > $o ).

tff(func_def_1282,type,
    iG105: 
      !>[X0: $tType] : ( ( X0 * X0 * X0 ) > X0 ) ).

tff(func_def_1283,type,
    iG106: 
      !>[X0: $tType] : ( ( X0 * X0 * X0 ) > X0 ) ).

tff(func_def_1284,type,
    bG107: $o > $o ).

tff(func_def_1285,type,
    bG108: $o > $o ).

tff(func_def_1286,type,
    bG109: nat > $o ).

tff(func_def_1287,type,
    bG112: $o > $o ).

tff(func_def_1288,type,
    bG113: $o > $o ).

tff(func_def_1289,type,
    bG114: nat > $o ).

tff(func_def_1290,type,
    bG115: nat > $o ).

tff(func_def_1291,type,
    bG116: ( $o * $o ) > $o ).

tff(func_def_1292,type,
    bG117: $o > $o ).

tff(func_def_1293,type,
    bG118: $o > $o ).

tff(func_def_1294,type,
    bG119: $o > $o ).

tff(func_def_1295,type,
    bG120: $o > $o ).

tff(func_def_1296,type,
    bG121: 
      !>[X0: $tType] : ( X0 > $o ) ).

tff(func_def_1297,type,
    bG122: $o > $o ).

tff(func_def_1298,type,
    bG123: $o > $o ).

tff(func_def_1299,type,
    bG124: $o > $o ).

tff(func_def_1300,type,
    bG125: $o > $o ).

tff(func_def_1301,type,
    bG126: $o > $o ).

tff(func_def_1302,type,
    iG127: 
      !>[X0: $tType] : ( $o > X0 ) ).

tff(func_def_1303,type,
    bG130: $o > $o ).

tff(func_def_1304,type,
    bG131: $o > $o ).

tff(func_def_1305,type,
    bG132: $o > $o ).

tff(func_def_1306,type,
    bG133: $o > $o ).

tff(func_def_1307,type,
    iG134: 
      !>[X0: $tType] : ( ( X0 * X0 * X0 ) > $o ) ).

tff(func_def_1308,type,
    iG135: 
      !>[X0: $tType] : ( ( X0 * X0 * X0 ) > $o ) ).

tff(func_def_1309,type,
    iG136: 
      !>[X0: $tType] : ( ( X0 * X0 * X0 ) > $o ) ).

tff(func_def_1310,type,
    iG137: 
      !>[X0: $tType] : ( ( X0 * X0 * X0 ) > $o ) ).

tff(func_def_1311,type,
    iG140: 
      !>[X0: $tType] : ( ( X0 * X0 * X0 ) > X0 ) ).

tff(func_def_1312,type,
    iG141: 
      !>[X0: $tType] : ( ( X0 * X0 * X0 ) > X0 ) ).

tff(func_def_1313,type,
    iG142: 
      !>[X0: $tType] : ( ( X0 * X0 * X0 ) > $o ) ).

tff(func_def_1314,type,
    iG143: 
      !>[X0: $tType] : ( ( X0 * X0 * X0 ) > $o ) ).

tff(func_def_1315,type,
    iG144: 
      !>[X0: $tType] : ( ( X0 * X0 * X0 ) > $o ) ).

tff(func_def_1316,type,
    iG145: 
      !>[X0: $tType] : ( ( X0 * X0 * X0 ) > $o ) ).

tff(func_def_1317,type,
    iG146: 
      !>[X0: $tType] : ( ( X0 * num * X0 ) > $o ) ).

tff(func_def_1318,type,
    iG147: 
      !>[X0: $tType] : ( ( X0 * num * X0 ) > $o ) ).

tff(func_def_1319,type,
    iG148: 
      !>[X0: $tType] : ( ( X0 * num * X0 ) > $o ) ).

tff(func_def_1320,type,
    iG149: 
      !>[X0: $tType] : ( ( X0 * num * X0 ) > $o ) ).

tff(func_def_1321,type,
    bG150: $o > $o ).

tff(func_def_1322,type,
    bG151: $o > $o ).

tff(func_def_1323,type,
    iG152: 
      !>[X0: $tType] : ( ( X0 * num * X0 ) > $o ) ).

tff(func_def_1324,type,
    iG153: 
      !>[X0: $tType] : ( ( X0 * num * X0 ) > $o ) ).

tff(func_def_1325,type,
    iG154: 
      !>[X0: $tType] : ( ( X0 * num * X0 ) > $o ) ).

tff(func_def_1326,type,
    iG155: 
      !>[X0: $tType] : ( ( X0 * num * X0 ) > $o ) ).

tff(func_def_1327,type,
    iG156: 
      !>[X0: $tType] : ( X0 > X0 ) ).

tff(func_def_1328,type,
    bG157: $o > $o ).

tff(func_def_1329,type,
    bG158: $o > $o ).

tff(func_def_1330,type,
    bG159: 
      !>[X0: $tType] : ( X0 > $o ) ).

tff(func_def_1331,type,
    bG162: int > $o ).

tff(func_def_1332,type,
    bG163: $o > $o ).

tff(func_def_1333,type,
    bG164: $o > $o ).

tff(func_def_1334,type,
    iG165: ( nat * nat ) > nat ).

tff(func_def_1335,type,
    iG166: 
      !>[X0: $tType] : ( ( X0 * X0 * X0 ) > X0 ) ).

tff(func_def_1336,type,
    iG167: ( nat * nat ) > nat ).

tff(func_def_1337,type,
    iG168: ( nat * nat ) > nat ).

tff(func_def_1338,type,
    iG169: ( nat * nat ) > nat ).

tff(func_def_1339,type,
    iG170: 
      !>[X0: $tType] : ( ( nat * nat * X0 ) > X0 ) ).

tff(func_def_1340,type,
    iG171: 
      !>[X0: $tType] : ( ( nat * X0 ) > X0 ) ).

tff(func_def_1341,type,
    bG172: 
      !>[X0: $tType] : ( ( nat * nat ) > $o ) ).

tff(func_def_1342,type,
    iG173: 
      !>[X0: $tType] : ( ( X0 * num * X0 ) > product_prod(X0,X0) ) ).

tff(func_def_1343,type,
    iG174: 
      !>[X0: $tType] : ( ( nat * fun(nat,X0) * X0 ) > X0 ) ).

tff(func_def_1344,type,
    iG175: 
      !>[X0: $tType] : ( ( nat * X0 ) > X0 ) ).

tff(func_def_1345,type,
    iG176: 
      !>[X0: $tType] : ( ( nat * X0 ) > X0 ) ).

tff(func_def_1346,type,
    bG177: nat > $o ).

tff(func_def_1347,type,
    bG178: nat > $o ).

tff(func_def_1348,type,
    bG179: $o > $o ).

tff(func_def_1349,type,
    bG180: $o > $o ).

tff(func_def_1350,type,
    iG183: 
      !>[X0: $tType] : ( ( nat * nat ) > fun(X0,X0) ) ).

tff(func_def_1351,type,
    iG184: 
      !>[X0: $tType] : ( ( nat * nat * X0 ) > X0 ) ).

tff(func_def_1352,type,
    iG185: 
      !>[X0: $tType] : ( ( nat * nat * X0 ) > X0 ) ).

tff(func_def_1353,type,
    iG186: 
      !>[X0: $tType] : ( ( nat * nat * X0 ) > X0 ) ).

tff(func_def_1354,type,
    iG189: ( int * int ) > int ).

tff(func_def_1355,type,
    iG190: ( int * int ) > int ).

tff(func_def_1356,type,
    iG191: 
      !>[X0: $tType] : ( ( X0 * X0 * X0 ) > $o ) ).

tff(func_def_1357,type,
    iG192: 
      !>[X0: $tType] : ( ( X0 * X0 * X0 ) > $o ) ).

tff(func_def_1358,type,
    iG193: 
      !>[X0: $tType] : ( ( X0 * X0 * X0 ) > $o ) ).

tff(func_def_1359,type,
    iG194: 
      !>[X0: $tType] : ( ( X0 * X0 * X0 ) > $o ) ).

tff(func_def_1360,type,
    iG197: 
      !>[X0: $tType] : ( ( X0 * X0 * X0 ) > X0 ) ).

tff(func_def_1361,type,
    iG198: 
      !>[X0: $tType] : ( ( X0 * X0 * X0 ) > X0 ) ).

tff(func_def_1362,type,
    iG199: 
      !>[X0: $tType] : ( ( X0 * X0 * X0 ) > X0 ) ).

tff(func_def_1363,type,
    iG200: 
      !>[X0: $tType] : ( ( X0 * X0 * X0 ) > $o ) ).

tff(func_def_1364,type,
    iG201: 
      !>[X0: $tType] : ( ( X0 * X0 * X0 ) > $o ) ).

tff(func_def_1365,type,
    iG202: 
      !>[X0: $tType] : ( ( X0 * X0 * X0 ) > $o ) ).

tff(func_def_1366,type,
    iG203: 
      !>[X0: $tType] : ( ( X0 * X0 * X0 ) > $o ) ).

tff(func_def_1367,type,
    iG204: 
      !>[X0: $tType] : ( ( X0 * num * X0 ) > $o ) ).

tff(func_def_1368,type,
    iG205: 
      !>[X0: $tType] : ( ( X0 * num * X0 ) > $o ) ).

tff(func_def_1369,type,
    iG206: 
      !>[X0: $tType] : ( ( X0 * num * X0 ) > $o ) ).

tff(func_def_1370,type,
    iG207: 
      !>[X0: $tType] : ( ( X0 * num * X0 ) > $o ) ).

tff(func_def_1371,type,
    iG208: 
      !>[X0: $tType] : ( ( nat * X0 ) > X0 ) ).

tff(func_def_1372,type,
    iG209: ( int * int ) > int ).

tff(func_def_1373,type,
    iG210: ( int * int ) > int ).

tff(func_def_1374,type,
    iG211: ( int * int ) > int ).

tff(func_def_1375,type,
    iG212: ( int * int ) > int ).

tff(func_def_1376,type,
    iG213: 
      !>[X0: $tType] : ( ( X0 * num * X0 ) > $o ) ).

tff(func_def_1377,type,
    iG214: 
      !>[X0: $tType] : ( ( X0 * num * X0 ) > $o ) ).

tff(func_def_1378,type,
    iG215: 
      !>[X0: $tType] : ( ( X0 * num * X0 ) > $o ) ).

tff(func_def_1379,type,
    iG216: 
      !>[X0: $tType] : ( ( X0 * num * X0 ) > $o ) ).

tff(func_def_1380,type,
    iG217: 
      !>[X0: $tType] : ( nat > X0 ) ).

tff(func_def_1381,type,
    iG218: ( nat * nat ) > nat ).

tff(func_def_1382,type,
    iG219: ( nat * nat ) > nat ).

tff(func_def_1383,type,
    bG220: ( nat * nat ) > $o ).

tff(func_def_1384,type,
    iG221: 
      !>[X0: $tType] : ( ( X0 * nat ) > X0 ) ).

tff(func_def_1385,type,
    bG222: 
      !>[X0: $tType] : ( X0 > $o ) ).

tff(func_def_1386,type,
    bG223: 
      !>[X0: $tType] : ( X0 > $o ) ).

tff(func_def_1387,type,
    bG224: 
      !>[X0: $tType] : ( X0 > $o ) ).

tff(func_def_1388,type,
    bG225: 
      !>[X0: $tType] : ( X0 > $o ) ).

tff(func_def_1389,type,
    bG226: nat > $o ).

tff(func_def_1390,type,
    bG227: nat > $o ).

tff(func_def_1391,type,
    iG228: ( nat * nat ) > int ).

tff(func_def_1392,type,
    bG229: ( int * int ) > $o ).

tff(func_def_1393,type,
    iG230: 
      !>[X0: $tType] : ( ( num * num ) > product_prod(X0,X0) ) ).

tff(func_def_1394,type,
    iG231: 
      !>[X0: $tType] : ( ( num * num ) > product_prod(X0,X0) ) ).

tff(func_def_1395,type,
    iG232: 
      !>[X0: $tType] : ( ( num * num ) > product_prod(X0,X0) ) ).

tff(func_def_1396,type,
    iG233: 
      !>[X0: $tType] : ( nat > X0 ) ).

tff(func_def_1397,type,
    bG234: $o > $o ).

tff(func_def_1398,type,
    bG235: $o > $o ).

tff(func_def_1399,type,
    bG236: $o > $o ).

tff(func_def_1400,type,
    iG237: 
      !>[X0: $tType] : ( X0 > X0 ) ).

tff(func_def_1401,type,
    iG238: 
      !>[X0: $tType] : ( X0 > X0 ) ).

tff(func_def_1402,type,
    iG239: real > real ).

tff(func_def_1403,type,
    iG240: 
      !>[X0: $tType] : ( ( nat * X0 ) > fun(nat,fun(X0,X0)) ) ).

tff(func_def_1404,type,
    iG241: 
      !>[X0: $tType] : ( nat > X0 ) ).

tff(func_def_1405,type,
    bG242: 
      !>[X0: $tType] : ( X0 > $o ) ).

tff(func_def_1406,type,
    iG243: 
      !>[X0: $tType] : ( ( nat * X0 * X0 ) > $o ) ).

tff(func_def_1407,type,
    bG244: 
      !>[X0: $tType] : ( X0 > $o ) ).

tff(func_def_1408,type,
    iG245: 
      !>[X0: $tType] : ( ( nat * X0 ) > $o ) ).

tff(func_def_1409,type,
    bG246: ( nat * int ) > $o ).

tff(func_def_1410,type,
    iG247: nat > real ).

tff(func_def_1411,type,
    iG248: ( nat * nat ) > nat ).

tff(func_def_1412,type,
    iG249: ( nat * nat ) > nat ).

tff(func_def_1413,type,
    iG250: nat > real ).

tff(func_def_1414,type,
    iG251: int > int ).

tff(func_def_1415,type,
    iG252: 
      !>[X0: $tType] : ( ( nat * nat * X0 * fun(nat,fun(X0,X0)) ) > X0 ) ).

tff(func_def_1416,type,
    iG253: 
      !>[X0: $tType] : ( ( nat * nat * X0 * fun(nat,fun(X0,X0)) ) > X0 ) ).

tff(func_def_1417,type,
    iG254: ( int * int ) > int ).

tff(func_def_1418,type,
    iG255: ( int * int ) > int ).

tff(func_def_1419,type,
    iG256: ( int * int ) > int ).

tff(func_def_1420,type,
    iG257: ( int * int ) > int ).

tff(func_def_1421,type,
    bG258: ( nat * nat ) > $o ).

tff(func_def_1422,type,
    iG259: ( int * int * nat * nat ) > int ).

tff(func_def_1423,type,
    iG260: ( int * int * nat * nat ) > int ).

tff(func_def_1424,type,
    bG261: ( nat * nat ) > $o ).

tff(func_def_1425,type,
    iG262: ( int * int * nat * nat ) > int ).

tff(func_def_1426,type,
    iG263: ( int * int * nat * nat ) > int ).

tff(func_def_1427,type,
    iG264: ( int * int ) > int ).

tff(func_def_1428,type,
    iG265: ( int * int ) > int ).

tff(func_def_1429,type,
    iG266: ( int * int ) > int ).

tff(func_def_1430,type,
    bG267: 
      !>[X0: $tType] : ( X0 > $o ) ).

tff(func_def_1431,type,
    bG268: 
      !>[X0: $tType] : ( X0 > $o ) ).

tff(func_def_1432,type,
    bG269: 
      !>[X0: $tType] : ( X0 > $o ) ).

tff(func_def_1433,type,
    iG270: 
      !>[X0: $tType] : ( X0 > X0 ) ).

tff(func_def_1434,type,
    iG271: 
      !>[X0: $tType] : ( X0 > X0 ) ).

tff(func_def_1435,type,
    iG272: 
      !>[X0: $tType] : ( X0 > X0 ) ).

tff(func_def_1436,type,
    iG273: int > int ).

tff(func_def_1437,type,
    iG274: int > int ).

tff(func_def_1438,type,
    iG275: 
      !>[X0: $tType] : ( X0 > real ) ).

tff(func_def_1439,type,
    bG276: ( int * int ) > $o ).

tff(func_def_1440,type,
    bG277: int > $o ).

tff(func_def_1441,type,
    bG278: ( int * int ) > $o ).

tff(func_def_1442,type,
    bG279: ( int * int ) > $o ).

tff(func_def_1443,type,
    iG280: ( int * int ) > int ).

tff(func_def_1444,type,
    iG281: ( int * int ) > int ).

tff(func_def_1445,type,
    bG282: ( int * int ) > $o ).

tff(func_def_1446,type,
    iG283: ( int * int ) > int ).

tff(func_def_1447,type,
    iG284: ( int * int ) > int ).

tff(func_def_1448,type,
    iG285: int > int ).

tff(func_def_1449,type,
    iG286: real > real ).

tff(func_def_1450,type,
    iG287: real > real ).

tff(func_def_1451,type,
    iG290: ( nat * nat ) > nat ).

tff(func_def_1452,type,
    iG292: ( nat * nat ) > nat ).

tff(func_def_1453,type,
    bG293: ( nat * nat ) > $o ).

tff(func_def_1454,type,
    iG294: 
      !>[X0: $tType] : ( X0 > X0 ) ).

tff(func_def_1455,type,
    iG295: int > real ).

tff(func_def_1456,type,
    iG296: 
      !>[X0: $tType] : ( int > X0 ) ).

tff(func_def_1457,type,
    iG297: ( int * real ) > real ).

tff(func_def_1458,type,
    iG298: 
      !>[X0: $tType] : ( X0 > int ) ).

tff(func_def_1459,type,
    iG299: ( int * real ) > real ).

tff(func_def_1460,type,
    iG300: 
      !>[X0: $tType] : ( ( X0 * X0 ) > X0 ) ).

tff(func_def_1461,type,
    iG301: 
      !>[X0: $tType] : ( ( X0 * X0 ) > int ) ).

tff(func_def_1462,type,
    iG302: 
      !>[X0: $tType] : ( X0 > X0 ) ).

tff(func_def_1463,type,
    lG303: ( nat * nat ) > nat ).

tff(func_def_1464,type,
    lG305: ( nat * nat ) > nat ).

tff(func_def_1465,type,
    bG307: $o > $o ).

tff(func_def_1466,type,
    bG308: $o > $o ).

tff(func_def_1467,type,
    lG309: ( nat * nat ) > nat ).

tff(func_def_1468,type,
    lG311: ( nat * nat ) > nat ).

tff(func_def_1469,type,
    bG313: $o > $o ).

tff(func_def_1470,type,
    bG314: $o > $o ).

tff(func_def_1471,type,
    lG315: 
      !>[X0: $tType] : ( num > X0 ) ).

tff(func_def_1472,type,
    lG316: 
      !>[X0: $tType] : ( num > X0 ) ).

tff(func_def_1473,type,
    lG317: 
      !>[X0: $tType] : ( ( X0 * num ) > X0 ) ).

tff(func_def_1474,type,
    lG318: 
      !>[X0: $tType] : ( ( X0 * num ) > X0 ) ).

tff(func_def_1475,type,
    lG319: ( int * int ) > int ).

tff(func_def_1476,type,
    iG320: ( int * int ) > nat ).

tff(func_def_1477,type,
    iG321: ( int * int ) > nat ).

tff(func_def_1478,type,
    lG322: 
      !>[X0: $tType] : ( ( nat * X0 ) > X0 ) ).

tff(func_def_1479,type,
    iG323: 
      !>[X0: $tType] : ( ( nat * X0 ) > X0 ) ).

tff(func_def_1480,type,
    iG324: 
      !>[X0: $tType] : ( ( nat * X0 ) > X0 ) ).

tff(func_def_1481,type,
    iG325: 
      !>[X0: $tType] : ( ( nat * X0 ) > X0 ) ).

tff(func_def_1482,type,
    lG326: ( nat * nat ) > nat ).

tff(func_def_1483,type,
    lG328: ( nat * nat ) > nat ).

tff(func_def_1484,type,
    lG330: ( nat * nat ) > nat ).

tff(func_def_1485,type,
    lG332: ( nat * nat ) > nat ).

tff(func_def_1486,type,
    bG336: $o > $o ).

tff(func_def_1487,type,
    bG337: $o > $o ).

tff(func_def_1488,type,
    lG338: ( nat * nat ) > nat ).

tff(func_def_1489,type,
    bG342: $o > $o ).

tff(func_def_1490,type,
    bG343: $o > $o ).

tff(func_def_1491,type,
    lG344: ( nat * nat ) > nat ).

tff(func_def_1492,type,
    bG348: $o > $o ).

tff(func_def_1493,type,
    bG349: $o > $o ).

tff(func_def_1494,type,
    lG350: ( nat * nat ) > nat ).

tff(func_def_1495,type,
    lG352: ( nat * nat ) > nat ).

tff(func_def_1496,type,
    lG354: 
      !>[X0: $tType] : ( int > X0 ) ).

tff(func_def_1497,type,
    iG355: 
      !>[X0: $tType] : ( int > X0 ) ).

tff(func_def_1498,type,
    iG356: 
      !>[X0: $tType] : ( int > X0 ) ).

tff(func_def_1499,type,
    iG357: 
      !>[X0: $tType] : ( int > X0 ) ).

tff(func_def_1500,type,
    iG358: complex > real ).

tff(func_def_1501,type,
    iG359: complex > real ).

tff(func_def_1502,type,
    lG360: nat > nat ).

tff(func_def_1503,type,
    lG361: nat > nat ).

tff(func_def_1504,type,
    iG362: nat > vEBT_VEBT ).

tff(func_def_1505,type,
    lG363: nat > nat ).

tff(func_def_1506,type,
    lG364: nat > nat ).

tff(func_def_1507,type,
    iG365: nat > vEBT_VEBT ).

tff(func_def_1508,type,
    lG366: ( nat * nat ) > nat ).

tff(func_def_1509,type,
    bG367: ( nat * nat * list(vEBT_VEBT) ) > $o ).

tff(func_def_1510,type,
    iG368: ( list(vEBT_VEBT) * nat * nat ) > $o ).

tff(func_def_1511,type,
    lG369: ( nat * nat ) > nat ).

tff(func_def_1512,type,
    bG371: $o > $o ).

tff(func_def_1513,type,
    bG372: $o > $o ).

tff(func_def_1514,type,
    bG373: $o > $o ).

tff(func_def_1515,type,
    bG374: $o > $o ).

tff(func_def_1516,type,
    lG375: ( nat * nat ) > nat ).

tff(func_def_1517,type,
    lG377: ( nat * nat ) > nat ).

tff(func_def_1518,type,
    bG379: $o > $o ).

tff(func_def_1519,type,
    bG380: $o > $o ).

tff(func_def_1520,type,
    bG381: $o > $o ).

tff(func_def_1521,type,
    bG382: $o > $o ).

tff(func_def_1522,type,
    lG383: ( nat * nat ) > nat ).

tff(func_def_1523,type,
    lG385: ( nat * nat ) > nat ).

tff(func_def_1524,type,
    lG387: ( nat * nat ) > nat ).

tff(func_def_1525,type,
    bG391: $o > $o ).

tff(func_def_1526,type,
    bG392: $o > $o ).

tff(func_def_1527,type,
    bG393: $o > $o ).

tff(func_def_1528,type,
    bG394: $o > $o ).

tff(func_def_1529,type,
    lG395: ( nat * nat ) > nat ).

tff(func_def_1530,type,
    bG399: $o > $o ).

tff(func_def_1531,type,
    bG400: $o > $o ).

tff(func_def_1532,type,
    bG401: $o > $o ).

tff(func_def_1533,type,
    bG402: $o > $o ).

tff(func_def_1534,type,
    lG403: ( nat * nat ) > nat ).

tff(func_def_1535,type,
    bG404: ( nat * nat * list(vEBT_VEBT) ) > $o ).

tff(func_def_1536,type,
    iG405: ( list(vEBT_VEBT) * nat * nat ) > $o ).

tff(func_def_1537,type,
    bG406: $o > $o ).

tff(func_def_1538,type,
    bG407: $o > $o ).

tff(func_def_1539,type,
    bG408: $o > $o ).

tff(func_def_1540,type,
    bG409: $o > $o ).

tff(func_def_1541,type,
    iG410: ( nat * $o ) > $o ).

tff(func_def_1542,type,
    iG411: ( nat * $o * $o ) > $o ).

tff(func_def_1543,type,
    bG412: $o > $o ).

tff(func_def_1544,type,
    bG413: $o > $o ).

tff(func_def_1545,type,
    iG414: complex > real ).

tff(func_def_1546,type,
    iG415: 
      !>[X0: $tType] : ( ( X0 * nat ) > X0 ) ).

tff(func_def_1547,type,
    iG416: 
      !>[X0: $tType] : ( ( X0 * nat ) > X0 ) ).

tff(func_def_1548,type,
    iG417: 
      !>[X0: $tType] : ( ( X0 * nat * nat ) > X0 ) ).

tff(func_def_1549,type,
    iG418: 
      !>[X0: $tType] : ( ( nat * nat * X0 ) > X0 ) ).

tff(func_def_1550,type,
    iG419: 
      !>[X0: $tType] : ( ( nat * nat * fun(nat,X0) ) > X0 ) ).

tff(func_def_1551,type,
    iG420: 
      !>[X0: $tType] : ( ( nat * nat * fun(nat,X0) ) > X0 ) ).

tff(func_def_1552,type,
    iG421: 
      !>[X0: $tType] : ( ( X0 * nat * nat ) > X0 ) ).

tff(func_def_1553,type,
    lG422: nat > nat ).

tff(func_def_1554,type,
    lG423: nat > nat ).

tff(func_def_1555,type,
    iG424: nat > vEBT_VEBT ).

tff(func_def_1556,type,
    iG425: 
      !>[X0: $tType] : ( ( nat * nat * fun(nat,X0) ) > X0 ) ).

tff(func_def_1557,type,
    iG426: ( nat * nat ) > product_prod(nat,nat) ).

tff(func_def_1558,type,
    iG427: 
      !>[X0: $tType] : ( nat > X0 ) ).

tff(func_def_1559,type,
    iG428: 
      !>[X0: $tType] : ( ( nat * nat * fun(nat,X0) ) > X0 ) ).

tff(func_def_1560,type,
    iG429: 
      !>[X0: $tType] : ( ( nat * nat * fun(nat,X0) ) > X0 ) ).

tff(func_def_1561,type,
    iG430: 
      !>[X0: $tType] : ( ( nat * nat * fun(nat,X0) ) > X0 ) ).

tff(func_def_1562,type,
    iG431: 
      !>[X0: $tType] : ( ( nat * nat * fun(nat,X0) ) > X0 ) ).

tff(func_def_1563,type,
    bG432: $o > $o ).

tff(func_def_1564,type,
    bG433: $o > $o ).

tff(func_def_1565,type,
    iG434: 
      !>[X0: $tType] : ( ( nat * nat * X0 * fun(nat,fun(X0,X0)) ) > X0 ) ).

tff(func_def_1566,type,
    iG435: 
      !>[X0: $tType] : ( ( nat * nat * X0 * fun(nat,fun(X0,X0)) ) > X0 ) ).

tff(func_def_1567,type,
    lG436: num > nat ).

tff(func_def_1568,type,
    bG437: ( int * int ) > $o ).

tff(func_def_1569,type,
    lG438: num > nat ).

tff(func_def_1570,type,
    iG439: code_integer > code_integer ).

tff(func_def_1571,type,
    iG440: code_integer > code_integer ).

tff(func_def_1572,type,
    iG441: 
      !>[X0: $tType] : ( ( nat * fun(nat,X0) * X0 ) > X0 ) ).

tff(func_def_1573,type,
    bG442: 
      !>[X0: $tType] : ( X0 > $o ) ).

tff(func_def_1574,type,
    bG443: 
      !>[X0: $tType] : ( X0 > $o ) ).

tff(func_def_1575,type,
    lG444: int > code_integer ).

tff(func_def_1576,type,
    iG445: int > code_integer ).

tff(func_def_1577,type,
    iG446: int > code_integer ).

tff(func_def_1578,type,
    iG447: int > code_integer ).

tff(func_def_1579,type,
    iG448: code_integer > code_integer ).

tff(func_def_1580,type,
    bG449: nat > $o ).

tff(func_def_1581,type,
    bG450: nat > $o ).

tff(func_def_1582,type,
    bG451: ( nat * nat ) > $o ).

tff(func_def_1583,type,
    iG452: ( int * int ) > int ).

tff(func_def_1584,type,
    iG453: ( int * int ) > int ).

tff(func_def_1585,type,
    iG454: ( int * int ) > int ).

tff(func_def_1586,type,
    bG455: ( $o * $o ) > $o ).

tff(func_def_1587,type,
    bG456: $o > $o ).

tff(func_def_1588,type,
    bG457: $o > $o ).

tff(func_def_1589,type,
    iG458: 
      !>[X0: $tType] : ( ( num * num ) > X0 ) ).

tff(func_def_1590,type,
    iG459: 
      !>[X0: $tType] : ( ( num * num ) > X0 ) ).

tff(func_def_1591,type,
    iG460: 
      !>[X0: $tType] : ( ( num * num ) > X0 ) ).

tff(func_def_1592,type,
    iG461: 
      !>[X0: $tType] : ( ( num * num ) > X0 ) ).

tff(func_def_1593,type,
    iG462: 
      !>[X0: $tType] : ( ( X0 * X0 ) > X0 ) ).

tff(func_def_1594,type,
    iG463: 
      !>[X0: $tType] : ( ( X0 * X0 ) > X0 ) ).

tff(func_def_1595,type,
    iG464: ( nat * nat ) > nat ).

tff(func_def_1596,type,
    iG465: ( nat * nat ) > nat ).

tff(func_def_1597,type,
    bG466: code_integer > $o ).

tff(func_def_1598,type,
    iG467: rat > rat ).

tff(func_def_1599,type,
    iG468: rat > rat ).

tff(func_def_1600,type,
    iG469: rat > rat ).

tff(func_def_1601,type,
    iG470: code_integer > product_prod(code_integer,$o) ).

tff(func_def_1602,type,
    iG471: ( nat * nat ) > product_prod(nat,nat) ).

tff(func_def_1603,type,
    iG472: ( nat * nat ) > product_prod(nat,nat) ).

tff(func_def_1604,type,
    iG473: ( nat * nat ) > product_prod(nat,nat) ).

tff(func_def_1605,type,
    iG474: ( code_integer * code_integer ) > product_prod(code_integer,code_integer) ).

tff(func_def_1606,type,
    iG475: ( code_integer * code_integer ) > product_prod(code_integer,code_integer) ).

tff(func_def_1607,type,
    iG476: ( code_integer * code_integer ) > product_prod(code_integer,code_integer) ).

tff(func_def_1608,type,
    iG477: ( code_integer * code_integer ) > product_prod(code_integer,code_integer) ).

tff(func_def_1609,type,
    iG478: ( code_integer * code_integer ) > product_prod(code_integer,code_integer) ).

tff(func_def_1610,type,
    iG479: 
      !>[X0: $tType] : ( ( set(nat) * fun(nat,X0) * fun(nat,X0) ) > X0 ) ).

tff(func_def_1611,type,
    iG480: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * X1 * fun(X1,X0) ) > X0 ) ).

tff(func_def_1612,type,
    iG481: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * X1 * fun(X1,X0) ) > X0 ) ).

tff(func_def_1613,type,
    iG482: 
      !>[X0: $tType] : ( ( set(nat) * fun(nat,X0) ) > X0 ) ).

tff(func_def_1614,type,
    iG483: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > nat ) ).

tff(func_def_1615,type,
    iG484: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * X1 * fun(X1,X0) ) > X0 ) ).

tff(func_def_1616,type,
    iG485: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * X1 * X0 * fun(X1,X0) ) > X0 ) ).

tff(func_def_1617,type,
    iG486: ( int * int ) > int ).

tff(func_def_1618,type,
    bG487: ( int * int ) > $o ).

tff(func_def_1619,type,
    bG488: ( int * int ) > $o ).

tff(func_def_1620,type,
    iG489: ( int * int ) > int ).

tff(func_def_1621,type,
    bG490: ( int * int ) > $o ).

tff(func_def_1622,type,
    bG491: ( int * int ) > $o ).

tff(func_def_1623,type,
    iG492: ( int * int ) > int ).

tff(func_def_1624,type,
    iG493: ( nat * nat ) > product_prod(int,int) ).

tff(func_def_1625,type,
    iG494: 
      !>[X0: $tType] : ( ( set(X0) * X0 * set(X0) ) > $o ) ).

tff(func_def_1626,type,
    iG495: 
      !>[X0: $tType] : ( ( set(X0) * X0 * set(X0) ) > $o ) ).

tff(func_def_1627,type,
    iG496: 
      !>[X0: $tType] : ( ( set(X0) * X0 * set(X0) ) > $o ) ).

tff(func_def_1628,type,
    iG497: 
      !>[X0: $tType] : ( ( nat * X0 ) > set(X0) ) ).

tff(func_def_1629,type,
    iG498: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > nat ) ).

tff(func_def_1630,type,
    iG499: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * X1 * fun(X1,X0) * fun(X1,X0) ) > X0 ) ).

tff(func_def_1631,type,
    iG500: ( int * int ) > set(int) ).

tff(func_def_1632,type,
    iG501: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * X1 * fun(X1,X0) ) > X0 ) ).

tff(func_def_1633,type,
    iG502: ( nat * nat ) > product_prod(int,int) ).

tff(func_def_1634,type,
    iG503: ( nat * nat ) > product_prod(int,int) ).

tff(func_def_1635,type,
    bG504: ( int * int ) > $o ).

tff(func_def_1636,type,
    bG505: ( int * int ) > $o ).

tff(func_def_1637,type,
    iG506: ( int * int ) > int ).

tff(func_def_1638,type,
    bG507: ( int * int ) > $o ).

tff(func_def_1639,type,
    bG508: ( int * int ) > $o ).

tff(func_def_1640,type,
    iG509: ( int * int ) > int ).

tff(func_def_1641,type,
    iG510: ( nat * nat ) > set(nat) ).

tff(func_def_1642,type,
    iG511: ( num * nat ) > set(nat) ).

tff(func_def_1643,type,
    lG512: product_prod(int,int) > int ).

tff(func_def_1644,type,
    lG513: product_prod(int,int) > int ).

tff(func_def_1645,type,
    iG514: product_prod(int,int) > product_prod(int,int) ).

tff(func_def_1646,type,
    iG515: product_prod(int,int) > product_prod(int,int) ).

tff(func_def_1647,type,
    iG516: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * X1 * fun(X1,X0) ) > X0 ) ).

tff(func_def_1648,type,
    iG517: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * X1 * fun(X1,X0) ) > X0 ) ).

tff(func_def_1649,type,
    iG518: ( int * int ) > int ).

tff(func_def_1650,type,
    iG519: ( nat * nat ) > nat ).

tff(func_def_1651,type,
    iG520: ( nat * nat ) > nat ).

tff(func_def_1652,type,
    iG521: 
      !>[X0: $tType] : ( ( nat * nat * list(X0) * X0 ) > X0 ) ).

tff(func_def_1653,type,
    iG522: ( code_integer * code_integer ) > code_integer ).

tff(func_def_1654,type,
    iG523: ( nat * nat ) > nat ).

tff(func_def_1655,type,
    bG524: $o > $o ).

tff(func_def_1656,type,
    bG525: ( nat * $o ) > $o ).

tff(func_def_1657,type,
    bG526: nat > $o ).

tff(func_def_1658,type,
    iG527: 
      !>[X0: $tType] : ( ( nat * X0 ) > X0 ) ).

tff(func_def_1659,type,
    bG528: nat > $o ).

tff(func_def_1660,type,
    iG529: 
      !>[X0: $tType] : ( ( list(X0) * X0 ) > nat ) ).

tff(func_def_1661,type,
    iG530: code_integer > nat ).

tff(func_def_1662,type,
    iG531: code_integer > int ).

tff(func_def_1663,type,
    iG532: code_integer > int ).

tff(func_def_1664,type,
    iG533: nat > num ).

tff(func_def_1665,type,
    iG534: 
      !>[X0: $tType] : ( nat > X0 ) ).

tff(func_def_1666,type,
    lG535: nat > nat ).

tff(func_def_1667,type,
    lG536: nat > nat ).

tff(func_def_1668,type,
    bG537: ( vEBT_VEBT * list(vEBT_VEBT) ) > $o ).

tff(func_def_1669,type,
    bG538: $o > $o ).

tff(func_def_1670,type,
    bG539: $o > $o ).

tff(func_def_1671,type,
    lG540: nat > nat ).

tff(func_def_1672,type,
    lG541: nat > nat ).

tff(func_def_1673,type,
    bG542: ( vEBT_VEBT * list(vEBT_VEBT) ) > $o ).

tff(func_def_1674,type,
    bG543: $o > $o ).

tff(func_def_1675,type,
    bG544: $o > $o ).

tff(func_def_1676,type,
    lG545: nat > nat ).

tff(func_def_1677,type,
    lG546: nat > nat ).

tff(func_def_1678,type,
    bG547: ( vEBT_VEBT * list(vEBT_VEBT) ) > $o ).

tff(func_def_1679,type,
    bG548: $o > $o ).

tff(func_def_1680,type,
    bG549: $o > $o ).

tff(func_def_1681,type,
    bG550: $o > $o ).

tff(func_def_1682,type,
    lG551: nat > nat ).

tff(func_def_1683,type,
    lG552: nat > nat ).

tff(func_def_1684,type,
    bG553: ( vEBT_VEBT * list(vEBT_VEBT) ) > $o ).

tff(func_def_1685,type,
    lG554: nat > nat ).

tff(func_def_1686,type,
    lG555: nat > nat ).

tff(func_def_1687,type,
    bG556: ( vEBT_VEBT * list(vEBT_VEBT) ) > $o ).

tff(func_def_1688,type,
    bG557: $o > $o ).

tff(func_def_1689,type,
    bG558: $o > $o ).

tff(func_def_1690,type,
    bG559: $o > $o ).

tff(func_def_1691,type,
    bG560: $o > $o ).

tff(func_def_1692,type,
    lG561: nat > nat ).

tff(func_def_1693,type,
    lG562: nat > nat ).

tff(func_def_1694,type,
    bG563: ( vEBT_VEBT * list(vEBT_VEBT) ) > $o ).

tff(func_def_1695,type,
    bG564: $o > $o ).

tff(func_def_1696,type,
    bG565: $o > $o ).

tff(func_def_1697,type,
    bG566: $o > $o ).

tff(func_def_1698,type,
    bG567: $o > $o ).

tff(func_def_1699,type,
    lG568: nat > nat ).

tff(func_def_1700,type,
    lG569: nat > nat ).

tff(func_def_1701,type,
    bG570: ( vEBT_VEBT * list(vEBT_VEBT) ) > $o ).

tff(func_def_1702,type,
    bG571: $o > $o ).

tff(func_def_1703,type,
    bG572: $o > $o ).

tff(func_def_1704,type,
    bG573: $o > $o ).

tff(func_def_1705,type,
    bG574: $o > $o ).

tff(func_def_1706,type,
    iG575: ( num * nat ) > option(num) ).

tff(func_def_1707,type,
    iG576: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * X1 * fun(X1,X0) ) > X0 ) ).

tff(func_def_1708,type,
    iG577: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,X0) ) > X0 ) ).

tff(func_def_1709,type,
    lG578: num > code_integer ).

tff(func_def_1710,type,
    iG579: ( nat * nat ) > set(nat) ).

tff(func_def_1711,type,
    iG580: ( nat * nat * nat ) > set(nat) ).

tff(func_def_1712,type,
    iG581: 
      !>[X0: $tType] : ( ( X0 * X0 ) > set(X0) ) ).

tff(func_def_1713,type,
    iG582: 
      !>[X0: $tType] : ( ( X0 * X0 * X0 ) > set(X0) ) ).

tff(func_def_1714,type,
    iG583: 
      !>[X0: $tType] : ( ( X0 * X0 * X0 ) > set(X0) ) ).

tff(func_def_1715,type,
    iG584: 
      !>[X0: $tType] : ( ( X0 * X0 * X0 ) > set(X0) ) ).

tff(func_def_1716,type,
    iG585: 
      !>[X0: $tType] : ( ( X0 * X0 * X0 ) > set(X0) ) ).

tff(func_def_1717,type,
    iG586: 
      !>[X0: $tType] : ( ( X0 * X0 * X0 * X0 ) > set(X0) ) ).

tff(func_def_1718,type,
    iG587: 
      !>[X0: $tType] : ( ( X0 * X0 * X0 * X0 ) > set(X0) ) ).

tff(func_def_1719,type,
    iG588: 
      !>[X0: $tType] : ( ( X0 * X0 * X0 * X0 ) > set(X0) ) ).

tff(func_def_1720,type,
    iG589: 
      !>[X0: $tType] : ( ( X0 * X0 * X0 * X0 ) > set(X0) ) ).

tff(func_def_1721,type,
    iG590: 
      !>[X0: $tType] : ( ( X0 * X0 * X0 * X0 ) > set(X0) ) ).

tff(func_def_1722,type,
    iG591: 
      !>[X0: $tType] : ( ( X0 * X0 * X0 * X0 ) > set(X0) ) ).

tff(func_def_1723,type,
    iG592: 
      !>[X0: $tType] : ( ( X0 * X0 * X0 * X0 ) > set(X0) ) ).

tff(func_def_1724,type,
    iG593: 
      !>[X0: $tType] : ( ( X0 * X0 * X0 * X0 ) > set(X0) ) ).

tff(func_def_1725,type,
    iG594: ( nat * real ) > real ).

tff(func_def_1726,type,
    bG596: 
      !>[X0: $tType] : ( X0 > $o ) ).

tff(func_def_1727,type,
    bG597: $o > $o ).

tff(func_def_1728,type,
    bG598: $o > $o ).

tff(func_def_1729,type,
    bG599: $o > $o ).

tff(func_def_1730,type,
    bG600: $o > $o ).

tff(func_def_1731,type,
    bG601: $o > $o ).

tff(func_def_1732,type,
    bG602: $o > $o ).

tff(func_def_1733,type,
    bG603: $o > $o ).

tff(func_def_1734,type,
    bG604: $o > $o ).

tff(func_def_1735,type,
    bG605: $o > $o ).

tff(func_def_1736,type,
    bG606: $o > $o ).

tff(func_def_1737,type,
    bG607: $o > $o ).

tff(func_def_1738,type,
    bG608: $o > $o ).

tff(func_def_1739,type,
    bG609: $o > $o ).

tff(func_def_1740,type,
    bG610: $o > $o ).

tff(func_def_1741,type,
    bG611: $o > $o ).

tff(func_def_1742,type,
    bG612: $o > $o ).

tff(func_def_1743,type,
    bG613: $o > $o ).

tff(func_def_1744,type,
    bG614: $o > $o ).

tff(func_def_1745,type,
    bG615: $o > $o ).

tff(func_def_1746,type,
    bG616: $o > $o ).

tff(func_def_1747,type,
    bG617: $o > $o ).

tff(func_def_1748,type,
    bG618: $o > $o ).

tff(func_def_1749,type,
    bG619: $o > $o ).

tff(func_def_1750,type,
    bG620: $o > $o ).

tff(func_def_1751,type,
    bG621: $o > $o ).

tff(func_def_1752,type,
    bG622: $o > $o ).

tff(func_def_1753,type,
    bG623: $o > $o ).

tff(func_def_1754,type,
    bG624: $o > $o ).

tff(func_def_1755,type,
    bG625: $o > $o ).

tff(func_def_1756,type,
    bG626: $o > $o ).

tff(func_def_1757,type,
    bG627: $o > $o ).

tff(func_def_1758,type,
    bG628: $o > $o ).

tff(func_def_1759,type,
    iG629: 
      !>[X0: $tType] : ( ( set(nat) * X0 ) > list(X0) ) ).

tff(func_def_1760,type,
    iG630: 
      !>[X0: $tType] : ( ( X0 * X0 * list(X0) ) > list(X0) ) ).

tff(func_def_1761,type,
    iG631: 
      !>[X0: $tType] : ( ( X0 * X0 * list(X0) ) > list(X0) ) ).

tff(func_def_1762,type,
    iG632: 
      !>[X0: $tType,X1: $tType] : ( ( X0 * fun(X0,X1) * X0 * list(X0) ) > list(X0) ) ).

tff(func_def_1763,type,
    iG633: 
      !>[X0: $tType] : ( ( list(X0) * X0 ) > list(X0) ) ).

tff(func_def_1764,type,
    iG634: 
      !>[X0: $tType] : ( ( X0 * X0 * list(X0) ) > nat ) ).

tff(func_def_1765,type,
    iG635: 
      !>[X0: $tType] : ( ( nat * list(X0) * X0 ) > X0 ) ).

tff(func_def_1766,type,
    iG636: 
      !>[X0: $tType] : ( nat > list(list(X0)) ) ).

tff(func_def_1767,type,
    iG638: 
      !>[X0: $tType] : ( ( list(X0) * X0 * list(X0) ) > list(X0) ) ).

tff(func_def_1768,type,
    iG639: 
      !>[X0: $tType] : ( ( list(X0) * nat * list(X0) ) > X0 ) ).

tff(func_def_1769,type,
    iG640: 
      !>[X0: $tType] : ( ( list(X0) * nat * X0 * list(X0) ) > list(X0) ) ).

tff(func_def_1770,type,
    iG641: 
      !>[X0: $tType] : ( ( set(nat) * X0 ) > list(X0) ) ).

tff(func_def_1771,type,
    iG642: ( int * int * list(int) ) > list(int) ).

tff(func_def_1772,type,
    iG643: ( int * int ) > list(int) ).

tff(func_def_1773,type,
    iG644: ( num * num ) > list(int) ).

tff(func_def_1774,type,
    iG645: ( num * num ) > list(int) ).

tff(func_def_1775,type,
    iG646: ( num * num ) > list(int) ).

tff(func_def_1776,type,
    iG647: ( num * num ) > list(int) ).

tff(func_def_1777,type,
    iG648: ( int * int ) > list(int) ).

tff(func_def_1778,type,
    iG649: ( int * int ) > list(int) ).

tff(func_def_1779,type,
    lG650: 
      !>[X0: $tType] : ( list(X0) > set(set(X0)) ) ).

tff(func_def_1780,type,
    iG651: ( int * int ) > list(int) ).

tff(func_def_1781,type,
    iG652: 
      !>[X0: $tType] : ( ( X0 * X0 * list(X0) ) > list(X0) ) ).

tff(func_def_1782,type,
    iG653: 
      !>[X0: $tType] : ( ( X0 * X0 * list(X0) ) > list(X0) ) ).

tff(func_def_1783,type,
    iG654: 
      !>[X0: $tType] : ( ( X0 * X0 ) > list(X0) ) ).

tff(func_def_1784,type,
    iG655: 
      !>[X0: $tType] : ( ( nat * X0 ) > list(X0) ) ).

tff(func_def_1785,type,
    iG656: 
      !>[X0: $tType] : ( ( X0 * X0 * list(X0) ) > list(X0) ) ).

tff(func_def_1786,type,
    iG657: 
      !>[X0: $tType] : ( ( nat * list(X0) * X0 ) > list(X0) ) ).

tff(func_def_1787,type,
    iG658: 
      !>[X0: $tType] : ( ( nat * list(X0) * X0 ) > list(X0) ) ).

tff(func_def_1788,type,
    iG660: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) ) > X0 ) ).

tff(func_def_1789,type,
    iG661: 
      !>[X0: $tType] : ( ( num * num ) > X0 ) ).

tff(func_def_1790,type,
    iG662: 
      !>[X0: $tType] : ( ( num * num ) > X0 ) ).

tff(func_def_1791,type,
    iG663: 
      !>[X0: $tType] : ( ( num * num ) > X0 ) ).

tff(func_def_1792,type,
    iG664: 
      !>[X0: $tType] : ( ( num * num ) > X0 ) ).

tff(func_def_1793,type,
    iG665: 
      !>[X0: $tType] : ( ( X0 * X0 ) > X0 ) ).

tff(func_def_1794,type,
    iG666: 
      !>[X0: $tType] : ( ( X0 * X0 ) > X0 ) ).

tff(func_def_1795,type,
    iG667: 
      !>[X0: $tType] : ( ( X0 * X0 * X0 ) > X0 ) ).

tff(func_def_1796,type,
    iG668: 
      !>[X0: $tType] : ( ( X0 * X0 * X0 ) > X0 ) ).

tff(func_def_1797,type,
    iG669: 
      !>[X0: $tType] : ( ( X0 * X0 * X0 ) > X0 ) ).

tff(func_def_1798,type,
    iG670: 
      !>[X0: $tType] : ( ( X0 * X0 * X0 ) > X0 ) ).

tff(func_def_1799,type,
    iG671: 
      !>[X0: $tType] : ( ( X0 * X0 * X0 ) > X0 ) ).

tff(func_def_1800,type,
    iG672: 
      !>[X0: $tType] : ( ( X0 * X0 * X0 ) > X0 ) ).

tff(func_def_1801,type,
    iG673: 
      !>[X0: $tType] : ( ( list(X0) * fun(X0,nat) ) > nat ) ).

tff(func_def_1802,type,
    iG674: 
      !>[X0: $tType] : ( list(X0) > nat ) ).

tff(func_def_1803,type,
    iG675: 
      !>[X0: $tType,X1: $tType] : ( ( list(X1) * fun(X1,fun(list(X1),X0)) * X0 ) > X0 ) ).

tff(func_def_1804,type,
    lG676: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * X1 * list(X1) ) > X1 ) ).

tff(func_def_1805,type,
    iG677: 
      !>[X0: $tType,X1: $tType] : ( ( list(X0) * X0 * fun(X0,X1) * X0 ) > X0 ) ).

tff(func_def_1806,type,
    lG678: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * X1 * list(X1) ) > X1 ) ).

tff(func_def_1807,type,
    iG679: 
      !>[X0: $tType,X1: $tType] : ( ( list(X0) * X0 * fun(X0,X1) * X0 ) > X0 ) ).

tff(func_def_1808,type,
    lG680: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * X1 * list(X1) ) > X1 ) ).

tff(func_def_1809,type,
    iG681: 
      !>[X0: $tType,X1: $tType] : ( ( list(X0) * X0 * fun(X0,X1) * X0 ) > X0 ) ).

tff(func_def_1810,type,
    iG682: code_integer > num ).

tff(func_def_1811,type,
    iG683: 
      !>[X0: $tType] : ( ( X0 * set(X0) ) > X0 ) ).

tff(func_def_1812,type,
    iG684: 
      !>[X0: $tType] : ( ( X0 * set(X0) ) > X0 ) ).

tff(func_def_1813,type,
    iG685: ( nat * nat ) > nat ).

tff(func_def_1814,type,
    iG686: 
      !>[X0: $tType] : ( ( X0 * set(X0) ) > X0 ) ).

tff(func_def_1815,type,
    iG687: 
      !>[X0: $tType] : ( ( X0 * set(X0) ) > X0 ) ).

tff(func_def_1816,type,
    iG688: ( num * num ) > list(nat) ).

tff(func_def_1817,type,
    iG689: ( nat * nat ) > list(nat) ).

tff(func_def_1818,type,
    iG690: ( nat * nat ) > list(nat) ).

tff(func_def_1819,type,
    iG691: 
      !>[X0: $tType,X1: $tType] : ( ( list(X1) * X1 * fun(X1,X0) ) > option(X0) ) ).

tff(func_def_1820,type,
    lG692: 
      !>[X0: $tType] : ( list(X0) > list(list(X0)) ) ).

tff(func_def_1821,type,
    iG693: 
      !>[X0: $tType] : ( ( X0 * fun(X0,$o) * list(X0) ) > option(product_prod(list(X0),product_prod(X0,list(X0)))) ) ).

tff(func_def_1822,type,
    iG694: 
      !>[X0: $tType] : ( ( X0 * fun(X0,$o) * nat ) > list(X0) ) ).

tff(func_def_1823,type,
    iG695: 
      !>[X0: $tType] : ( ( X0 * fun(X0,$o) * list(X0) ) > list(X0) ) ).

tff(func_def_1824,type,
    iG696: 
      !>[X0: $tType] : ( ( list(X0) * X0 ) > X0 ) ).

tff(func_def_1825,type,
    iG697: 
      !>[X0: $tType] : ( list(list(X0)) > nat ) ).

tff(func_def_1826,type,
    iG698: 
      !>[X0: $tType] : ( ( X0 * fun(X0,$o) * nat ) > list(X0) ) ).

tff(func_def_1827,type,
    iG699: 
      !>[X0: $tType] : ( ( X0 * fun(X0,$o) * list(X0) ) > list(X0) ) ).

tff(func_def_1828,type,
    iG700: 
      !>[X0: $tType] : ( ( fun(X0,$o) * list(X0) * list(X0) ) > list(X0) ) ).

tff(func_def_1829,type,
    iG701: 
      !>[X0: $tType] : ( ( X0 * fun(X0,$o) * nat ) > list(X0) ) ).

tff(func_def_1830,type,
    iG702: 
      !>[X0: $tType] : ( ( X0 * fun(X0,$o) * list(X0) ) > list(X0) ) ).

tff(func_def_1831,type,
    iG703: 
      !>[X0: $tType] : ( ( X0 * fun(X0,$o) * list(X0) ) > option(X0) ) ).

tff(func_def_1832,type,
    iG704: 
      !>[X0: $tType] : ( ( fun(X0,$o) * list(X0) * list(X0) ) > list(X0) ) ).

tff(func_def_1833,type,
    iG705: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * X1 * fun(X1,option(X0)) ) > option(X0) ) ).

tff(func_def_1834,type,
    iG706: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * X1 * fun(X1,option(X0)) ) > fun(X1,option(X0)) ) ).

tff(func_def_1835,type,
    iG707: 
      !>[X0: $tType,X1: $tType] : ( ( option(X1) * fun(X1,X0) * X0 ) > X0 ) ).

tff(func_def_1836,type,
    iG708: 
      !>[X0: $tType,X1: $tType] : ( ( list(X1) * list(X0) * X1 * X0 * fun(X1,option(X0)) ) > fun(X1,option(X0)) ) ).

tff(func_def_1837,type,
    iG709: 
      !>[X0: $tType] : ( ( X0 * set(X0) ) > X0 ) ).

tff(func_def_1838,type,
    iG710: 
      !>[X0: $tType] : ( ( X0 * set(X0) ) > X0 ) ).

tff(func_def_1839,type,
    iG711: 
      !>[X0: $tType] : ( ( X0 * set(X0) ) > X0 ) ).

tff(func_def_1840,type,
    iG712: 
      !>[X0: $tType] : ( ( X0 * set(X0) ) > X0 ) ).

tff(func_def_1841,type,
    iG713: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) ) > list(X0) ) ).

tff(func_def_1842,type,
    iG714: 
      !>[X0: $tType] : ( ( list(X0) * X0 ) > list(X0) ) ).

tff(func_def_1843,type,
    iG715: 
      !>[X0: $tType] : ( ( nat * list(X0) * X0 ) > list(X0) ) ).

tff(func_def_1844,type,
    iG716: 
      !>[X0: $tType] : ( ( nat * X0 * fun(X0,fun(X0,X0)) * X0 ) > X0 ) ).

tff(func_def_1845,type,
    iG717: 
      !>[X0: $tType,X1: $tType] : ( ( option(X1) * fun(X0,option(X1)) * X0 ) > set(X0) ) ).

tff(func_def_1846,type,
    iG718: 
      !>[X0: $tType] : ( ( nat * X0 ) > X0 ) ).

tff(func_def_1847,type,
    iG719: 
      !>[X0: $tType] : ( ( nat * nat ) > X0 ) ).

tff(func_def_1848,type,
    iG720: 
      !>[X0: $tType] : ( ( nat * X0 ) > X0 ) ).

tff(func_def_1849,type,
    iG721: ( nat * fun(nat,real) ) > real ).

tff(func_def_1850,type,
    iG722: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( product_prod(X1,X2) * product_prod(X2,X0) ) > list(product_prod(X1,X0)) ) ).

tff(func_def_1851,type,
    iG723: 
      !>[X0: $tType] : ( ( nat * nat ) > X0 ) ).

tff(func_def_1852,type,
    lG724: code_integer > int ).

tff(func_def_1853,type,
    iG725: ( code_integer * code_integer ) > int ).

tff(func_def_1854,type,
    lG726: nat > a ).

tff(func_def_1855,type,
    iG727: ( nat * nat ) > a ).

tff(func_def_1856,type,
    lG728: code_integer > num ).

tff(func_def_1857,type,
    lG729: code_integer > num ).

tff(func_def_1858,type,
    iG730: ( code_integer * code_integer ) > num ).

tff(func_def_1859,type,
    lG731: code_integer > nat ).

tff(func_def_1860,type,
    lG732: code_integer > nat ).

tff(func_def_1861,type,
    iG733: ( code_integer * code_integer ) > nat ).

tff(func_def_1862,type,
    bG734: int > $o ).

tff(func_def_1863,type,
    iG735: ( nat * fun(nat,real) * fun(nat,real) ) > real ).

tff(func_def_1864,type,
    iG736: ( nat * fun(nat,real) * fun(nat,real) ) > real ).

tff(func_def_1865,type,
    iG737: ( code_integer * num * code_integer ) > product_prod(code_integer,code_integer) ).

tff(func_def_1866,type,
    iG738: ( nat * num * nat ) > product_prod(nat,nat) ).

tff(func_def_1867,type,
    iG739: ( int * num * int ) > product_prod(int,int) ).

tff(func_def_1868,type,
    iG740: 
      !>[X0: $tType] : ( ( X0 * num * X0 ) > product_prod(X0,X0) ) ).

tff(func_def_1869,type,
    iG741: 
      !>[X0: $tType] : ( ( X0 * X0 * list(X0) ) > list(X0) ) ).

tff(func_def_1870,type,
    iG742: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * X1 * fun(X1,X0) ) > X0 ) ).

tff(func_def_1871,type,
    iG743: 
      !>[X0: $tType,X1: $tType] : ( ( X1 * X1 * fun(X1,X0) ) > X0 ) ).

tff(func_def_1872,type,
    iG744: 
      !>[X0: $tType,X1: $tType] : ( ( X1 * X1 * fun(X1,X0) ) > X0 ) ).

tff(func_def_1873,type,
    iG745: ( code_integer * code_integer * code_integer ) > product_prod(code_integer,code_integer) ).

tff(func_def_1874,type,
    iG746: ( code_integer * code_integer * code_integer ) > product_prod(code_integer,code_integer) ).

tff(func_def_1875,type,
    iG747: 
      !>[X0: $tType,X1: $tType] : ( ( X1 * fun(X1,$o) * fun(X1,X0) ) > X0 ) ).

tff(func_def_1876,type,
    iG748: 
      !>[X0: $tType,X1: $tType] : ( ( X1 * fun(X1,$o) * fun(X1,fun(X0,X0)) ) > fun(X0,X0) ) ).

tff(func_def_1877,type,
    iG749: 
      !>[X0: $tType,X1: $tType] : ( ( X1 * fun(X1,$o) * fun(X1,X0) ) > option(X0) ) ).

tff(func_def_1878,type,
    iG750: 
      !>[X0: $tType] : ( ( nat * nat ) > X0 ) ).

tff(func_def_1879,type,
    iG751: ( code_integer * code_integer * code_integer ) > code_integer ).

tff(func_def_1880,type,
    bG752: code_integer > $o ).

tff(func_def_1881,type,
    iG753: 
      !>[X0: $tType] : ( ( nat * nat * X0 * X0 ) > X0 ) ).

tff(func_def_1882,type,
    iG754: 
      !>[X0: $tType] : ( ( nat * nat * X0 * X0 ) > X0 ) ).

tff(func_def_1883,type,
    iG755: 
      !>[X0: $tType] : ( ( nat * nat * X0 * X0 ) > X0 ) ).

tff(func_def_1884,type,
    iG756: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,X1) * X1 * X0 ) > X0 ) ).

tff(func_def_1885,type,
    iG757: 
      !>[X0: $tType] : ( ( nat * nat * fun(nat,X0) ) > X0 ) ).

tff(func_def_1886,type,
    iG758: 
      !>[X0: $tType] : ( ( nat * nat * fun(nat,X0) * fun(nat,X0) ) > X0 ) ).

tff(func_def_1887,type,
    iG759: 
      !>[X0: $tType] : ( ( nat * nat * fun(nat,X0) ) > X0 ) ).

tff(func_def_1888,type,
    iG760: 
      !>[X0: $tType] : ( ( nat * nat * fun(nat,X0) * fun(nat,X0) ) > X0 ) ).

tff(func_def_1889,type,
    iG761: 
      !>[X0: $tType,X1: $tType] : ( ( X1 * X1 * fun(X1,X0) * fun(X1,X0) ) > X0 ) ).

tff(func_def_1890,type,
    iG762: 
      !>[X0: $tType] : ( ( nat * nat * fun(nat,X0) * fun(nat,X0) ) > X0 ) ).

tff(func_def_1891,type,
    iG763: 
      !>[X0: $tType] : ( ( nat * nat * fun(nat,X0) * fun(nat,X0) ) > X0 ) ).

tff(func_def_1892,type,
    iG764: 
      !>[X0: $tType] : ( ( set(nat) * nat * fun(nat,X0) * fun(nat,X0) ) > X0 ) ).

tff(func_def_1893,type,
    iG765: 
      !>[X0: $tType,X1: $tType] : ( ( X1 * X1 * fun(X1,X0) * fun(X1,X0) ) > X0 ) ).

tff(func_def_1894,type,
    iG766: 
      !>[X0: $tType,X1: $tType] : ( ( X1 * X1 * X0 * fun(X1,X0) ) > X0 ) ).

tff(func_def_1895,type,
    iG767: 
      !>[X0: $tType] : ( ( X0 * fun(X0,$o) * list(X0) * list(X0) ) > product_prod(list(X0),list(X0)) ) ).

tff(func_def_1896,type,
    iG768: 
      !>[X0: $tType,X1: $tType] : ( ( X1 * fun(X1,$o) * fun(X1,X0) * fun(X1,X0) ) > X0 ) ).

tff(func_def_1897,type,
    iG769: 
      !>[X0: $tType] : ( ( nat * nat ) > X0 ) ).

tff(func_def_1898,type,
    iG770: 
      !>[X0: $tType] : ( ( nat * nat * X0 ) > X0 ) ).

tff(func_def_1899,type,
    bG771: $o > $o ).

tff(func_def_1900,type,
    bG772: $o > $o ).

tff(func_def_1901,type,
    bG773: $o > $o ).

tff(func_def_1902,type,
    bG774: $o > $o ).

tff(func_def_1903,type,
    bG776: $o > $o ).

tff(func_def_1904,type,
    bG777: $o > $o ).

tff(func_def_1905,type,
    sK998: ( nat * nat * list(vEBT_VEBT) * nat * nat ) > nat ).

tff(func_def_1906,type,
    sK999: list(vEBT_VEBT) > vEBT_VEBT ).

tff(func_def_1907,type,
    sK1000: list(vEBT_VEBT) > nat ).

tff(func_def_1908,type,
    sK1001: 
      !>[X0: $tType] : ( ( fun(X0,$o) * list(X0) ) > X0 ) ).

tff(func_def_1909,type,
    sK1002: 
      !>[X0: $tType] : ( ( fun(X0,$o) * list(X0) ) > X0 ) ).

tff(func_def_1910,type,
    sK1003: 
      !>[X0: $tType] : ( ( list(list(X0)) * list(X0) * list(X0) ) > list(list(X0)) ) ).

tff(func_def_1911,type,
    sK1004: 
      !>[X0: $tType] : ( ( list(list(X0)) * list(X0) * list(X0) ) > list(X0) ) ).

tff(func_def_1912,type,
    sK1005: 
      !>[X0: $tType] : ( ( list(list(X0)) * list(X0) * list(X0) ) > list(X0) ) ).

tff(func_def_1913,type,
    sK1006: 
      !>[X0: $tType] : ( ( list(list(X0)) * list(X0) * list(X0) ) > list(list(X0)) ) ).

tff(func_def_1914,type,
    sK1007: vEBT_VEBT > nat ).

tff(func_def_1915,type,
    sK1008: list(vEBT_VEBT) > vEBT_VEBT ).

tff(func_def_1916,type,
    sK1009: list(vEBT_VEBT) > nat ).

tff(func_def_1917,type,
    sK1010: vEBT_VEBT > nat ).

tff(func_def_1918,type,
    sK1011: list(vEBT_VEBT) > vEBT_VEBT ).

tff(func_def_1919,type,
    sK1012: list(vEBT_VEBT) > nat ).

tff(func_def_1920,type,
    sK1013: vEBT_VEBT > nat ).

tff(func_def_1921,type,
    sK1014: list(vEBT_VEBT) > vEBT_VEBT ).

tff(func_def_1922,type,
    sK1015: list(vEBT_VEBT) > nat ).

tff(func_def_1923,type,
    sK1016: vEBT_VEBT > nat ).

tff(func_def_1924,type,
    sK1017: list(vEBT_VEBT) > vEBT_VEBT ).

tff(func_def_1925,type,
    sK1018: list(vEBT_VEBT) > nat ).

tff(func_def_1926,type,
    sK1019: vEBT_VEBT > nat ).

tff(func_def_1927,type,
    sK1020: list(vEBT_VEBT) > vEBT_VEBT ).

tff(func_def_1928,type,
    sK1021: list(vEBT_VEBT) > nat ).

tff(func_def_1929,type,
    sK1022: vEBT_VEBT > nat ).

tff(func_def_1930,type,
    sK1023: list(vEBT_VEBT) > vEBT_VEBT ).

tff(func_def_1931,type,
    sK1024: list(vEBT_VEBT) > nat ).

tff(func_def_1932,type,
    sK1025: vEBT_VEBT > nat ).

tff(func_def_1933,type,
    sK1026: list(vEBT_VEBT) > vEBT_VEBT ).

tff(func_def_1934,type,
    sK1027: list(vEBT_VEBT) > nat ).

tff(func_def_1935,type,
    sK1028: nat > nat ).

tff(func_def_1936,type,
    sK1029: nat > nat ).

tff(func_def_1937,type,
    sK1030: nat > nat ).

tff(func_def_1938,type,
    sK1031: 
      !>[X0: $tType] : ( ( list(X0) * fun(X0,$o) ) > X0 ) ).

tff(func_def_1939,type,
    sK1032: ( list(vEBT_VEBT) * nat ) > vEBT_VEBT ).

tff(func_def_1940,type,
    sK1033: 
      !>[X0: $tType] : ( ( fun(X0,$o) * fun(X0,$o) ) > X0 ) ).

tff(func_def_1941,type,
    sK1034: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * fun(X1,X0) ) > X1 ) ).

tff(func_def_1942,type,
    sK1035: ( nat * nat ) > nat ).

tff(func_def_1943,type,
    sK1036: ( nat * nat ) > nat ).

tff(func_def_1944,type,
    sK1037: fun(extended_enat,$o) > extended_enat ).

tff(func_def_1945,type,
    sK1038: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * fun(X1,$o) ) > X1 ) ).

tff(func_def_1946,type,
    sK1039: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * fun(X1,$o) ) > X1 ) ).

tff(func_def_1947,type,
    sK1040: fun(nat,$o) > nat ).

tff(func_def_1948,type,
    sK1041: fun(nat,$o) > nat ).

tff(func_def_1949,type,
    sK1042: 
      !>[X0: $tType] : ( ( fun(X0,$o) * fun(X0,nat) ) > X0 ) ).

tff(func_def_1950,type,
    sK1043: fun(nat,$o) > nat ).

tff(func_def_1951,type,
    sK1044: ( fun(nat,$o) * nat ) > nat ).

tff(func_def_1952,type,
    sK1045: ( nat * nat ) > nat ).

tff(func_def_1953,type,
    sK1046: ( nat * nat ) > nat ).

tff(func_def_1954,type,
    sK1047: ( nat * fun(nat,$o) ) > nat ).

tff(func_def_1955,type,
    sK1048: ( nat * fun(nat,$o) ) > nat ).

tff(func_def_1956,type,
    sK1049: ( nat * fun(nat,$o) ) > nat ).

tff(func_def_1957,type,
    sK1050: ( nat * fun(nat,$o) ) > nat ).

tff(func_def_1958,type,
    sK1051: ( nat * nat ) > nat ).

tff(func_def_1959,type,
    sK1052: fun(nat,fun(nat,$o)) > nat ).

tff(func_def_1960,type,
    sK1053: fun(nat,fun(nat,$o)) > nat ).

tff(func_def_1961,type,
    sK1054: fun(nat,fun(nat,$o)) > nat ).

tff(func_def_1962,type,
    sK1055: fun(nat,fun(nat,$o)) > nat ).

tff(func_def_1963,type,
    sK1056: ( nat * fun(nat,$o) ) > nat ).

tff(func_def_1964,type,
    sK1057: ( nat * fun(nat,$o) ) > nat ).

tff(func_def_1965,type,
    sK1058: nat > nat ).

tff(func_def_1966,type,
    sK1059: fun(nat,$o) > nat ).

tff(func_def_1967,type,
    sK1060: ( nat * fun(nat,$o) ) > nat ).

tff(func_def_1968,type,
    sK1061: fun(nat,fun(nat,$o)) > nat ).

tff(func_def_1969,type,
    sK1062: fun(nat,fun(nat,$o)) > nat ).

tff(func_def_1970,type,
    sK1063: fun(nat,fun(nat,$o)) > nat ).

tff(func_def_1971,type,
    sK1064: fun(nat,fun(nat,$o)) > nat ).

tff(func_def_1972,type,
    sK1065: fun(nat,fun(nat,$o)) > nat ).

tff(func_def_1973,type,
    sK1066: fun(nat,nat) > nat ).

tff(func_def_1974,type,
    sK1067: fun(nat,nat) > nat ).

tff(func_def_1975,type,
    sK1068: ( nat * nat ) > nat ).

tff(func_def_1976,type,
    sK1069: ( nat * nat ) > nat ).

tff(func_def_1977,type,
    sK1070: 
      !>[X0: $tType] : ( fun(nat,X0) > nat ) ).

tff(func_def_1978,type,
    sK1071: 
      !>[X0: $tType] : ( fun(nat,X0) > nat ) ).

tff(func_def_1979,type,
    sK1072: 
      !>[X0: $tType] : ( fun(nat,X0) > nat ) ).

tff(func_def_1980,type,
    sK1073: 
      !>[X0: $tType] : ( fun(nat,X0) > nat ) ).

tff(func_def_1981,type,
    sK1074: ( nat * nat * fun(nat,$o) ) > nat ).

tff(func_def_1982,type,
    sK1075: ( nat * nat * fun(nat,$o) ) > nat ).

tff(func_def_1983,type,
    sK1076: ( nat * nat ) > nat ).

tff(func_def_1984,type,
    sK1077: ( nat * nat ) > nat ).

tff(func_def_1985,type,
    sK1078: ( nat * nat ) > nat ).

tff(func_def_1986,type,
    sK1079: fun(nat,nat) > nat ).

tff(func_def_1987,type,
    sK1080: fun(nat,nat) > nat ).

tff(func_def_1988,type,
    sK1081: 
      !>[X0: $tType] : ( ( list(X0) * fun(X0,$o) ) > X0 ) ).

tff(func_def_1989,type,
    sK1082: 
      !>[X0: $tType] : ( ( X0 * list(X0) ) > nat ) ).

tff(func_def_1990,type,
    sK1083: 
      !>[X0: $tType] : ( ( list(X0) * fun(X0,$o) ) > nat ) ).

tff(func_def_1991,type,
    sK1084: 
      !>[X0: $tType] : ( ( list(X0) * fun(X0,$o) ) > nat ) ).

tff(func_def_1992,type,
    sK1085: 
      !>[X0: $tType] : ( ( list(X0) * fun(X0,$o) ) > X0 ) ).

tff(func_def_1993,type,
    sK1086: ( real * real ) > nat ).

tff(func_def_1994,type,
    sK1087: set(real) > real ).

tff(func_def_1995,type,
    sK1088: ( set(real) * real ) > real ).

tff(func_def_1996,type,
    sK1089: ( set(real) * real ) > real ).

tff(func_def_1997,type,
    sK1090: 
      !>[X0: $tType] : ( X0 > X0 ) ).

tff(func_def_1998,type,
    sK1091: 
      !>[X0: $tType] : ( X0 > X0 ) ).

tff(func_def_1999,type,
    sK1092: 
      !>[X0: $tType] : ( ( list(X0) * set(X0) ) > X0 ) ).

tff(func_def_2000,type,
    sK1093: 
      !>[X0: $tType] : ( nat > list(X0) ) ).

tff(func_def_2001,type,
    sK1094: 
      !>[X0: $tType] : ( ( X0 * X0 ) > X0 ) ).

tff(func_def_2002,type,
    sK1095: 
      !>[X0: $tType] : ( ( X0 * X0 ) > X0 ) ).

tff(func_def_2003,type,
    sK1096: 
      !>[X0: $tType] : ( fun(list(X0),$o) > list(X0) ) ).

tff(func_def_2004,type,
    sK1097: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) ) > nat ) ).

tff(func_def_2005,type,
    sK1098: 
      !>[X0: $tType] : ( ( fun(nat,fun(X0,$o)) * nat ) > X0 ) ).

tff(func_def_2006,type,
    sK1099: 
      !>[X0: $tType] : ( ( nat * fun(nat,fun(X0,$o)) * list(X0) ) > nat ) ).

tff(func_def_2007,type,
    sK1100: 
      !>[X0: $tType] : ( ( nat * fun(nat,fun(X0,$o)) ) > list(X0) ) ).

tff(func_def_2008,type,
    sK1101: 
      !>[X0: $tType] : ( ( nat * fun(nat,fun(X0,$o)) ) > nat ) ).

tff(func_def_2009,type,
    sK1102: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) ) > nat ) ).

tff(func_def_2010,type,
    sK1103: list(vEBT_VEBT) > vEBT_VEBT ).

tff(func_def_2011,type,
    sK1104: list(vEBT_VEBT) > nat ).

tff(func_def_2012,type,
    sK1105: vEBT_VEBT > nat ).

tff(func_def_2013,type,
    sK1106: ( list(vEBT_VEBT) * nat ) > vEBT_VEBT ).

tff(func_def_2014,type,
    sK1107: list(vEBT_VEBT) > vEBT_VEBT ).

tff(func_def_2015,type,
    sK1108: list(vEBT_VEBT) > nat ).

tff(func_def_2016,type,
    sK1109: vEBT_VEBT > nat ).

tff(func_def_2017,type,
    sK1110: ( list(vEBT_VEBT) * nat ) > vEBT_VEBT ).

tff(func_def_2018,type,
    sK1111: 
      !>[X0: $tType] : ( ( fun(X0,$o) * X0 * fun(X0,nat) * nat ) > X0 ) ).

tff(func_def_2019,type,
    sK1112: 
      !>[X0: $tType] : ( ( fun(X0,$o) * fun(X0,nat) ) > X0 ) ).

tff(func_def_2020,type,
    sK1113: ( fun(nat,$o) * nat ) > nat ).

tff(func_def_2021,type,
    sK1114: fun(nat,$o) > nat ).

tff(func_def_2022,type,
    sK1115: ( fun(nat,$o) * nat ) > nat ).

tff(func_def_2023,type,
    sK1116: 
      !>[X0: $tType] : ( ( fun(X0,$o) * fun(X0,nat) ) > X0 ) ).

tff(func_def_2024,type,
    sK1117: 
      !>[X0: $tType] : ( ( fun(X0,$o) * fun(X0,nat) ) > X0 ) ).

tff(func_def_2025,type,
    sK1118: 
      !>[X0: $tType] : ( ( fun(X0,$o) * fun(X0,nat) * nat ) > X0 ) ).

tff(func_def_2026,type,
    sK1119: 
      !>[X0: $tType] : ( ( set(X0) * set(X0) ) > X0 ) ).

tff(func_def_2027,type,
    sK1120: ( vEBT_VEBT * list(vEBT_VEBT) * nat ) > nat ).

tff(func_def_2028,type,
    sK1121: ( vEBT_VEBT * list(vEBT_VEBT) * nat ) > nat ).

tff(func_def_2029,type,
    sK1122: ( nat * nat * list(vEBT_VEBT) * nat * nat ) > nat ).

tff(func_def_2030,type,
    sK1123: ( nat * nat * list(vEBT_VEBT) * nat * nat ) > nat ).

tff(func_def_2031,type,
    sK1124: list(vEBT_VEBT) > vEBT_VEBT ).

tff(func_def_2032,type,
    sK1125: list(vEBT_VEBT) > nat ).

tff(func_def_2033,type,
    sK1126: ( list(vEBT_VEBT) * nat ) > vEBT_VEBT ).

tff(func_def_2034,type,
    sK1127: 
      !>[X0: $tType] : ( ( X0 * X0 ) > X0 ) ).

tff(func_def_2035,type,
    sK1128: nat > nat ).

tff(func_def_2036,type,
    sK1129: nat > nat ).

tff(func_def_2037,type,
    sK1130: fun(nat,$o) > nat ).

tff(func_def_2038,type,
    sK1131: fun(nat,fun(nat,$o)) > nat ).

tff(func_def_2039,type,
    sK1132: fun(nat,fun(nat,$o)) > nat ).

tff(func_def_2040,type,
    sK1133: fun(nat,fun(nat,$o)) > nat ).

tff(func_def_2041,type,
    sK1134: fun(nat,fun(nat,$o)) > nat ).

tff(func_def_2042,type,
    sK1135: fun(nat,$o) > nat ).

tff(func_def_2043,type,
    sK1136: nat > nat ).

tff(func_def_2044,type,
    sK1137: 
      !>[X0: $tType] : ( ( fun(X0,nat) * fun(X0,$o) ) > X0 ) ).

tff(func_def_2045,type,
    sK1138: 
      !>[X0: $tType] : ( ( fun(X0,nat) * fun(X0,$o) ) > X0 ) ).

tff(func_def_2046,type,
    sK1139: fun(nat,$o) > nat ).

tff(func_def_2047,type,
    sK1140: 
      !>[X0: $tType] : ( ( X0 * X0 ) > X0 ) ).

tff(func_def_2048,type,
    sK1141: ( nat * fun(nat,$o) ) > nat ).

tff(func_def_2049,type,
    sK1142: ( nat * fun(nat,$o) ) > nat ).

tff(func_def_2050,type,
    sK1143: nat > nat ).

tff(func_def_2051,type,
    sK1144: ( nat * fun(nat,$o) ) > nat ).

tff(func_def_2052,type,
    sK1145: ( nat * fun(nat,$o) ) > nat ).

tff(func_def_2053,type,
    sK1146: nat > nat ).

tff(func_def_2054,type,
    sK1147: ( nat * nat ) > nat ).

tff(func_def_2055,type,
    sK1148: ( fun(nat,$o) * nat ) > nat ).

tff(func_def_2056,type,
    sK1149: ( nat * nat ) > nat ).

tff(func_def_2057,type,
    sK1150: 
      !>[X0: $tType,X1: $tType] : ( fun(X0,X1) > X0 ) ).

tff(func_def_2058,type,
    sK1151: 
      !>[X0: $tType,X1: $tType] : ( fun(X0,X1) > X0 ) ).

tff(func_def_2059,type,
    sK1152: 
      !>[X0: $tType,X1: $tType] : ( fun(X1,X0) > X1 ) ).

tff(func_def_2060,type,
    sK1153: 
      !>[X0: $tType,X1: $tType] : ( fun(X1,X0) > X1 ) ).

tff(func_def_2061,type,
    sK1154: 
      !>[X0: $tType,X1: $tType] : ( fun(X0,X1) > X0 ) ).

tff(func_def_2062,type,
    sK1155: 
      !>[X0: $tType,X1: $tType] : ( fun(X0,X1) > X0 ) ).

tff(func_def_2063,type,
    sK1156: 
      !>[X0: $tType,X1: $tType] : ( fun(X1,X0) > X1 ) ).

tff(func_def_2064,type,
    sK1157: 
      !>[X0: $tType,X1: $tType] : ( fun(X1,X0) > X1 ) ).

tff(func_def_2065,type,
    sK1158: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * fun(X1,X0) ) > X1 ) ).

tff(func_def_2066,type,
    sK1159: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * fun(X1,X0) ) > X1 ) ).

tff(func_def_2067,type,
    sK1160: 
      !>[X0: $tType] : ( fun(X0,fun(X0,$o)) > X0 ) ).

tff(func_def_2068,type,
    sK1161: 
      !>[X0: $tType] : ( fun(X0,fun(X0,$o)) > X0 ) ).

tff(func_def_2069,type,
    sK1162: 
      !>[X0: $tType] : ( fun(X0,fun(X0,$o)) > X0 ) ).

tff(func_def_2070,type,
    sK1163: 
      !>[X0: $tType] : ( fun(X0,fun(X0,$o)) > X0 ) ).

tff(func_def_2071,type,
    sK1164: 
      !>[X0: $tType,X1: $tType] : ( fun(X0,X1) > X0 ) ).

tff(func_def_2072,type,
    sK1165: 
      !>[X0: $tType,X1: $tType] : ( fun(X0,X1) > X0 ) ).

tff(func_def_2073,type,
    sK1166: 
      !>[X0: $tType,X1: $tType] : ( fun(X1,X0) > X1 ) ).

tff(func_def_2074,type,
    sK1167: 
      !>[X0: $tType,X1: $tType] : ( fun(X1,X0) > X1 ) ).

tff(func_def_2075,type,
    sK1168: 
      !>[X0: $tType,X1: $tType] : ( fun(X0,X1) > X0 ) ).

tff(func_def_2076,type,
    sK1169: 
      !>[X0: $tType,X1: $tType] : ( fun(X0,X1) > X0 ) ).

tff(func_def_2077,type,
    sK1170: 
      !>[X0: $tType,X1: $tType] : ( fun(X1,X0) > X1 ) ).

tff(func_def_2078,type,
    sK1171: 
      !>[X0: $tType,X1: $tType] : ( fun(X1,X0) > X1 ) ).

tff(func_def_2079,type,
    sK1172: 
      !>[X0: $tType] : ( fun(X0,fun(X0,$o)) > X0 ) ).

tff(func_def_2080,type,
    sK1173: 
      !>[X0: $tType] : ( fun(X0,fun(X0,$o)) > X0 ) ).

tff(func_def_2081,type,
    sK1174: 
      !>[X0: $tType] : ( fun(X0,fun(X0,$o)) > X0 ) ).

tff(func_def_2082,type,
    sK1175: 
      !>[X0: $tType] : ( fun(X0,fun(X0,$o)) > X0 ) ).

tff(func_def_2083,type,
    sK1176: 
      !>[X0: $tType] : ( fun(X0,fun(X0,$o)) > X0 ) ).

tff(func_def_2084,type,
    sK1177: 
      !>[X0: $tType] : ( fun(X0,$o) > X0 ) ).

tff(func_def_2085,type,
    sK1178: 
      !>[X0: $tType] : ( ( fun(X0,$o) * X0 ) > X0 ) ).

tff(func_def_2086,type,
    sK1179: 
      !>[X0: $tType] : ( fun(X0,$o) > X0 ) ).

tff(func_def_2087,type,
    sK1180: 
      !>[X0: $tType] : ( fun(X0,$o) > X0 ) ).

tff(func_def_2088,type,
    sK1181: 
      !>[X0: $tType] : ( ( X0 * X0 ) > X0 ) ).

tff(func_def_2089,type,
    sK1182: 
      !>[X0: $tType] : ( X0 > X0 ) ).

tff(func_def_2090,type,
    sK1183: 
      !>[X0: $tType] : ( X0 > X0 ) ).

tff(func_def_2091,type,
    sK1184: 
      !>[X0: $tType] : ( ( X0 * X0 ) > X0 ) ).

tff(func_def_2092,type,
    sK1185: 
      !>[X0: $tType] : ( ( set(X0) * set(X0) ) > X0 ) ).

tff(func_def_2093,type,
    sK1186: 
      !>[X0: $tType] : ( ( set(X0) * set(X0) ) > X0 ) ).

tff(func_def_2094,type,
    sK1187: 
      !>[X0: $tType] : ( ( fun(X0,$o) * fun(X0,$o) ) > X0 ) ).

tff(func_def_2095,type,
    sK1188: 
      !>[X0: $tType] : ( ( fun(X0,$o) * fun(X0,$o) ) > X0 ) ).

tff(func_def_2096,type,
    sK1189: ( fun(nat,$o) * nat ) > nat ).

tff(func_def_2097,type,
    sK1190: fun(nat,$o) > nat ).

tff(func_def_2098,type,
    sK1191: 
      !>[X0: $tType,X1: $tType] : ( fun(X0,X1) > X0 ) ).

tff(func_def_2099,type,
    sK1192: 
      !>[X0: $tType,X1: $tType] : ( fun(X0,X1) > X0 ) ).

tff(func_def_2100,type,
    sK1193: 
      !>[X0: $tType,X1: $tType] : ( fun(X1,X0) > X1 ) ).

tff(func_def_2101,type,
    sK1194: 
      !>[X0: $tType,X1: $tType] : ( fun(X1,X0) > X1 ) ).

tff(func_def_2102,type,
    sK1195: 
      !>[X0: $tType,X1: $tType] : ( fun(X0,X1) > X0 ) ).

tff(func_def_2103,type,
    sK1196: 
      !>[X0: $tType,X1: $tType] : ( fun(X0,X1) > X0 ) ).

tff(func_def_2104,type,
    sK1197: 
      !>[X0: $tType,X1: $tType] : ( fun(X1,X0) > X1 ) ).

tff(func_def_2105,type,
    sK1198: 
      !>[X0: $tType,X1: $tType] : ( fun(X1,X0) > X1 ) ).

tff(func_def_2106,type,
    sK1199: 
      !>[X0: $tType] : ( ( X0 * X0 * X0 ) > X0 ) ).

tff(func_def_2107,type,
    sK1200: 
      !>[X0: $tType] : ( ( X0 * X0 * X0 ) > X0 ) ).

tff(func_def_2108,type,
    sK1201: 
      !>[X0: $tType] : ( ( X0 * X0 ) > X0 ) ).

tff(func_def_2109,type,
    sK1202: 
      !>[X0: $tType] : ( ( X0 * X0 ) > X0 ) ).

tff(func_def_2110,type,
    sK1203: ( vEBT_VEBT * list(vEBT_VEBT) * nat ) > nat ).

tff(func_def_2111,type,
    sK1204: ( vEBT_VEBT * list(vEBT_VEBT) * nat ) > nat ).

tff(func_def_2112,type,
    sK1205: ( nat * nat * list(vEBT_VEBT) * nat * nat ) > nat ).

tff(func_def_2113,type,
    sK1206: ( nat * nat * list(vEBT_VEBT) * nat * nat ) > nat ).

tff(func_def_2114,type,
    sK1207: list(vEBT_VEBT) > vEBT_VEBT ).

tff(func_def_2115,type,
    sK1208: list(vEBT_VEBT) > nat ).

tff(func_def_2116,type,
    sK1209: ( list(vEBT_VEBT) * nat ) > vEBT_VEBT ).

tff(func_def_2117,type,
    sK1210: ( list(vEBT_VEBT) * nat ) > vEBT_VEBT ).

tff(func_def_2118,type,
    sK1211: ( vEBT_VEBT * nat ) > list(vEBT_VEBT) ).

tff(func_def_2119,type,
    sK1212: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_2120,type,
    sK1213: ( vEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_2121,type,
    sK1214: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_2122,type,
    sK1215: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_2123,type,
    sK1216: ( list(vEBT_VEBT) * nat ) > vEBT_VEBT ).

tff(func_def_2124,type,
    sK1217: ( vEBT_VEBT * nat ) > list(vEBT_VEBT) ).

tff(func_def_2125,type,
    sK1218: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_2126,type,
    sK1219: ( vEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_2127,type,
    sK1220: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_2128,type,
    sK1221: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_2129,type,
    sK1222: ( list(vEBT_VEBT) * nat ) > vEBT_VEBT ).

tff(func_def_2130,type,
    sK1223: vEBT_VEBT > nat ).

tff(func_def_2131,type,
    sK1224: list(vEBT_VEBT) > vEBT_VEBT ).

tff(func_def_2132,type,
    sK1225: list(vEBT_VEBT) > nat ).

tff(func_def_2133,type,
    sK1226: ( vEBT_VEBT * nat ) > list(vEBT_VEBT) ).

tff(func_def_2134,type,
    sK1227: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_2135,type,
    sK1228: ( vEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_2136,type,
    sK1229: ( list(vEBT_VEBT) * nat ) > vEBT_VEBT ).

tff(func_def_2137,type,
    sK1230: vEBT_VEBT > nat ).

tff(func_def_2138,type,
    sK1231: list(vEBT_VEBT) > vEBT_VEBT ).

tff(func_def_2139,type,
    sK1232: list(vEBT_VEBT) > nat ).

tff(func_def_2140,type,
    sK1233: ( vEBT_VEBT * nat ) > list(vEBT_VEBT) ).

tff(func_def_2141,type,
    sK1234: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_2142,type,
    sK1235: ( vEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_2143,type,
    sK1236: ( vEBT_VEBT * list(vEBT_VEBT) * nat ) > nat ).

tff(func_def_2144,type,
    sK1237: ( vEBT_VEBT * list(vEBT_VEBT) * nat ) > nat ).

tff(func_def_2145,type,
    sK1238: ( list(vEBT_VEBT) * nat ) > nat ).

tff(func_def_2146,type,
    sK1239: list(vEBT_VEBT) > vEBT_VEBT ).

tff(func_def_2147,type,
    sK1240: list(vEBT_VEBT) > nat ).

tff(func_def_2148,type,
    sK1241: ( nat * nat * list(vEBT_VEBT) * nat ) > nat ).

tff(func_def_2149,type,
    sK1242: ( nat * nat * list(vEBT_VEBT) * nat ) > nat ).

tff(func_def_2150,type,
    sK1243: ( vEBT_VEBT * list(vEBT_VEBT) * nat ) > nat ).

tff(func_def_2151,type,
    sK1244: ( vEBT_VEBT * list(vEBT_VEBT) * nat ) > nat ).

tff(func_def_2152,type,
    sK1245: ( list(vEBT_VEBT) * nat ) > nat ).

tff(func_def_2153,type,
    sK1246: list(vEBT_VEBT) > vEBT_VEBT ).

tff(func_def_2154,type,
    sK1247: list(vEBT_VEBT) > nat ).

tff(func_def_2155,type,
    sK1248: ( nat * nat * list(vEBT_VEBT) * nat ) > nat ).

tff(func_def_2156,type,
    sK1249: ( nat * nat * list(vEBT_VEBT) * nat ) > nat ).

tff(func_def_2157,type,
    sK1250: vEBT_VEBT > $o ).

tff(func_def_2158,type,
    sK1251: vEBT_VEBT > $o ).

tff(func_def_2159,type,
    sK1252: ( nat * vEBT_VEBT ) > list(vEBT_VEBT) ).

tff(func_def_2160,type,
    sK1253: ( nat * vEBT_VEBT ) > nat ).

tff(func_def_2161,type,
    sK1254: ( nat * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_2162,type,
    sK1255: ( nat * vEBT_VEBT ) > nat ).

tff(func_def_2163,type,
    sK1256: ( nat * vEBT_VEBT ) > nat ).

tff(func_def_2164,type,
    sK1257: ( nat * vEBT_VEBT ) > nat ).

tff(func_def_2165,type,
    sK1258: ( nat * vEBT_VEBT ) > nat ).

tff(func_def_2166,type,
    sK1259: ( nat * vEBT_VEBT ) > list(vEBT_VEBT) ).

tff(func_def_2167,type,
    sK1260: ( nat * vEBT_VEBT ) > nat ).

tff(func_def_2168,type,
    sK1261: ( nat * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_2169,type,
    sK1262: ( nat * vEBT_VEBT ) > nat ).

tff(func_def_2170,type,
    sK1263: ( nat * vEBT_VEBT ) > nat ).

tff(func_def_2171,type,
    sK1264: ( nat * vEBT_VEBT ) > nat ).

tff(func_def_2172,type,
    sK1265: ( nat * vEBT_VEBT ) > nat ).

tff(func_def_2173,type,
    sK1266: ( nat * vEBT_VEBT ) > list(vEBT_VEBT) ).

tff(func_def_2174,type,
    sK1267: ( nat * vEBT_VEBT ) > nat ).

tff(func_def_2175,type,
    sK1268: ( nat * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_2176,type,
    sK1269: ( nat * vEBT_VEBT ) > nat ).

tff(func_def_2177,type,
    sK1270: ( nat * vEBT_VEBT ) > nat ).

tff(func_def_2178,type,
    sK1271: ( nat * vEBT_VEBT ) > list(vEBT_VEBT) ).

tff(func_def_2179,type,
    sK1272: ( nat * vEBT_VEBT ) > nat ).

tff(func_def_2180,type,
    sK1273: ( nat * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_2181,type,
    sK1274: ( nat * vEBT_VEBT ) > nat ).

tff(func_def_2182,type,
    sK1275: ( nat * vEBT_VEBT ) > nat ).

tff(func_def_2183,type,
    sK1276: ( list(vEBT_VEBT) * nat ) > nat ).

tff(func_def_2184,type,
    sK1277: ( list(vEBT_VEBT) * nat ) > nat ).

tff(func_def_2185,type,
    sK1278: vEBT_VEBT > $o ).

tff(func_def_2186,type,
    sK1279: vEBT_VEBT > $o ).

tff(func_def_2187,type,
    sK1280: fun(nat,$o) > nat ).

tff(func_def_2188,type,
    sK1281: 
      !>[X0: $tType] : ( option(X0) > X0 ) ).

tff(func_def_2189,type,
    sK1282: 
      !>[X0: $tType] : ( option(X0) > X0 ) ).

tff(func_def_2190,type,
    sK1283: vEBT_VEBT > $o ).

tff(func_def_2191,type,
    sK1284: vEBT_VEBT > $o ).

tff(func_def_2192,type,
    sK1285: vEBT_VEBT > option(product_prod(nat,nat)) ).

tff(func_def_2193,type,
    sK1286: vEBT_VEBT > nat ).

tff(func_def_2194,type,
    sK1287: vEBT_VEBT > list(vEBT_VEBT) ).

tff(func_def_2195,type,
    sK1288: vEBT_VEBT > vEBT_VEBT ).

tff(func_def_2196,type,
    sK1289: ( real * nat ) > real ).

tff(func_def_2197,type,
    sK1290: ( nat * real ) > real ).

tff(func_def_2198,type,
    sK1291: ( nat * real ) > real ).

tff(func_def_2199,type,
    sK1292: ( real * real ) > nat ).

tff(func_def_2200,type,
    sK1293: 
      !>[X0: $tType] : ( option(X0) > X0 ) ).

tff(func_def_2201,type,
    sK1294: 
      !>[X0: $tType] : ( fun(option(X0),$o) > option(X0) ) ).

tff(func_def_2202,type,
    sK1295: 
      !>[X0: $tType] : ( fun(option(X0),$o) > X0 ) ).

tff(func_def_2203,type,
    sK1296: 
      !>[X0: $tType] : ( fun(option(X0),$o) > X0 ) ).

tff(func_def_2204,type,
    sK1297: 
      !>[X0: $tType] : ( fun(option(X0),$o) > option(X0) ) ).

tff(func_def_2205,type,
    sK1298: 
      !>[X0: $tType,X1: $tType] : ( ( option(X0) * option(X1) * fun(option(X1),fun(option(X0),$o)) ) > X1 ) ).

tff(func_def_2206,type,
    sK1299: 
      !>[X0: $tType,X1: $tType] : ( ( option(X0) * option(X1) * fun(option(X1),fun(option(X0),$o)) ) > X0 ) ).

tff(func_def_2207,type,
    sK1300: fun(nat,fun(nat,$o)) > nat ).

tff(func_def_2208,type,
    sK1301: fun(nat,fun(nat,$o)) > nat ).

tff(func_def_2209,type,
    sK1302: fun(nat,fun(nat,$o)) > nat ).

tff(func_def_2210,type,
    sK1303: ( int * fun(int,$o) ) > int ).

tff(func_def_2211,type,
    sK1304: ( fun(int,$o) * int * int ) > int ).

tff(func_def_2212,type,
    sK1305: ( fun(int,$o) * int * int ) > int ).

tff(func_def_2213,type,
    sK1306: ( fun(int,$o) * int * int ) > int ).

tff(func_def_2214,type,
    sK1307: ( fun(int,$o) * int * int ) > int ).

tff(func_def_2215,type,
    sK1308: ( int * int ) > int ).

tff(func_def_2216,type,
    sK1309: ( int * int ) > int ).

tff(func_def_2217,type,
    sK1310: ( int * fun(int,$o) ) > int ).

tff(func_def_2218,type,
    sK1311: ( nat * nat * nat ) > nat ).

tff(func_def_2219,type,
    sK1312: ( nat * nat * nat ) > nat ).

tff(func_def_2220,type,
    sK1313: ( nat * nat ) > nat ).

tff(func_def_2221,type,
    sK1314: ( nat * nat ) > nat ).

tff(func_def_2222,type,
    sK1315: ( nat * nat ) > nat ).

tff(func_def_2223,type,
    sK1316: 
      !>[X0: $tType] : ( ( X0 * X0 ) > X0 ) ).

tff(func_def_2224,type,
    sK1317: 
      !>[X0: $tType] : ( ( X0 * X0 ) > X0 ) ).

tff(func_def_2225,type,
    sK1318: ( nat * nat ) > nat ).

tff(func_def_2226,type,
    sK1319: ( nat * nat ) > nat ).

tff(func_def_2227,type,
    sK1320: ( nat * nat ) > nat ).

tff(func_def_2228,type,
    sK1321: 
      !>[X0: $tType] : ( ( X0 * X0 ) > X0 ) ).

tff(func_def_2229,type,
    sK1322: 
      !>[X0: $tType] : ( product_prod(fun(nat,fun(X0,X0)),product_prod(nat,product_prod(nat,X0))) > fun(nat,fun(X0,X0)) ) ).

tff(func_def_2230,type,
    sK1323: 
      !>[X0: $tType] : ( product_prod(fun(nat,fun(X0,X0)),product_prod(nat,product_prod(nat,X0))) > nat ) ).

tff(func_def_2231,type,
    sK1324: 
      !>[X0: $tType] : ( product_prod(fun(nat,fun(X0,X0)),product_prod(nat,product_prod(nat,X0))) > nat ) ).

tff(func_def_2232,type,
    sK1325: 
      !>[X0: $tType] : ( product_prod(fun(nat,fun(X0,X0)),product_prod(nat,product_prod(nat,X0))) > X0 ) ).

tff(func_def_2233,type,
    sK1326: ( fun(int,$o) * int * int ) > int ).

tff(func_def_2234,type,
    sK1327: ( fun(int,$o) * int * int ) > int ).

tff(func_def_2235,type,
    sK1328: ( fun(int,$o) * int * int ) > int ).

tff(func_def_2236,type,
    sK1329: ( fun(int,$o) * int * int ) > int ).

tff(func_def_2237,type,
    sK1330: ( int * fun(int,fun(int,$o)) * int ) > int ).

tff(func_def_2238,type,
    sK1331: ( int * fun(int,fun(int,$o)) * int ) > int ).

tff(func_def_2239,type,
    sK1332: ( int * fun(int,fun(int,$o)) * int ) > int ).

tff(func_def_2240,type,
    sK1333: ( int * fun(int,fun(int,$o)) * int ) > int ).

tff(func_def_2241,type,
    sK1334: 
      !>[X0: $tType] : ( ( X0 * X0 ) > X0 ) ).

tff(func_def_2242,type,
    sK1335: 
      !>[X0: $tType] : ( X0 > X0 ) ).

tff(func_def_2243,type,
    sK1336: 
      !>[X0: $tType] : ( ( X0 * X0 * X0 ) > X0 ) ).

tff(func_def_2244,type,
    sK1337: ( nat * nat ) > nat ).

tff(func_def_2245,type,
    sK1338: ( nat * nat * nat ) > nat ).

tff(func_def_2246,type,
    sK1339: ( nat * nat * nat ) > nat ).

tff(func_def_2247,type,
    sK1340: 
      !>[X0: $tType] : ( fun(X0,$o) > X0 ) ).

tff(func_def_2248,type,
    sK1341: 
      !>[X0: $tType] : ( fun(X0,$o) > $o ) ).

tff(func_def_2249,type,
    sK1342: 
      !>[X0: $tType] : ( fun(X0,$o) > X0 ) ).

tff(func_def_2250,type,
    sK1343: 
      !>[X0: $tType] : ( X0 > X0 ) ).

tff(func_def_2251,type,
    sK1344: product_prod(vEBT_VEBT,nat) > option(product_prod(nat,nat)) ).

tff(func_def_2252,type,
    sK1345: product_prod(vEBT_VEBT,nat) > nat ).

tff(func_def_2253,type,
    sK1346: product_prod(vEBT_VEBT,nat) > list(vEBT_VEBT) ).

tff(func_def_2254,type,
    sK1347: product_prod(vEBT_VEBT,nat) > vEBT_VEBT ).

tff(func_def_2255,type,
    sK1348: product_prod(vEBT_VEBT,nat) > nat ).

tff(func_def_2256,type,
    sK1349: product_prod(vEBT_VEBT,nat) > $o ).

tff(func_def_2257,type,
    sK1350: product_prod(vEBT_VEBT,nat) > $o ).

tff(func_def_2258,type,
    sK1351: product_prod(vEBT_VEBT,nat) > nat ).

tff(func_def_2259,type,
    sK1352: ( nat * nat * nat ) > nat ).

tff(func_def_2260,type,
    sK1353: ( nat * nat * nat ) > nat ).

tff(func_def_2261,type,
    sK1354: ( nat * nat * nat ) > nat ).

tff(func_def_2262,type,
    sK1355: 
      !>[X0: $tType] : ( ( X0 * X0 ) > X0 ) ).

tff(func_def_2263,type,
    sK1356: ( fun(nat,$o) * nat * nat ) > nat ).

tff(func_def_2264,type,
    sK1357: ( fun(nat,$o) * nat * nat ) > nat ).

tff(func_def_2265,type,
    sK1358: ( nat * fun(nat,$o) * nat ) > nat ).

tff(func_def_2266,type,
    sK1359: ( nat * fun(nat,$o) * nat ) > nat ).

tff(func_def_2267,type,
    sK1360: product_prod(vEBT_VEBT,nat) > option(product_prod(nat,nat)) ).

tff(func_def_2268,type,
    sK1361: product_prod(vEBT_VEBT,nat) > nat ).

tff(func_def_2269,type,
    sK1362: product_prod(vEBT_VEBT,nat) > list(vEBT_VEBT) ).

tff(func_def_2270,type,
    sK1363: product_prod(vEBT_VEBT,nat) > vEBT_VEBT ).

tff(func_def_2271,type,
    sK1364: product_prod(vEBT_VEBT,nat) > nat ).

tff(func_def_2272,type,
    sK1365: product_prod(vEBT_VEBT,nat) > option(product_prod(nat,nat)) ).

tff(func_def_2273,type,
    sK1366: product_prod(vEBT_VEBT,nat) > list(vEBT_VEBT) ).

tff(func_def_2274,type,
    sK1367: product_prod(vEBT_VEBT,nat) > vEBT_VEBT ).

tff(func_def_2275,type,
    sK1368: product_prod(vEBT_VEBT,nat) > nat ).

tff(func_def_2276,type,
    sK1369: product_prod(vEBT_VEBT,nat) > $o ).

tff(func_def_2277,type,
    sK1370: product_prod(vEBT_VEBT,nat) > $o ).

tff(func_def_2278,type,
    sK1371: product_prod(vEBT_VEBT,nat) > nat ).

tff(func_def_2279,type,
    sK1372: ( fun(nat,$o) * nat * nat ) > nat ).

tff(func_def_2280,type,
    sK1373: fun(nat,$o) > nat ).

tff(func_def_2281,type,
    sK1374: fun(nat,$o) > nat ).

tff(func_def_2282,type,
    sK1375: fun(nat,fun(nat,$o)) > nat ).

tff(func_def_2283,type,
    sK1376: fun(nat,fun(nat,$o)) > nat ).

tff(func_def_2284,type,
    sK1377: fun(nat,fun(nat,$o)) > nat ).

tff(func_def_2285,type,
    sK1378: fun(nat,fun(nat,$o)) > nat ).

tff(func_def_2286,type,
    sK1379: fun(nat,fun(nat,$o)) > nat ).

tff(func_def_2287,type,
    sK1380: product_prod(vEBT_VEBT,nat) > nat ).

tff(func_def_2288,type,
    sK1381: product_prod(vEBT_VEBT,nat) > list(vEBT_VEBT) ).

tff(func_def_2289,type,
    sK1382: product_prod(vEBT_VEBT,nat) > vEBT_VEBT ).

tff(func_def_2290,type,
    sK1383: product_prod(vEBT_VEBT,nat) > nat ).

tff(func_def_2291,type,
    sK1384: product_prod(vEBT_VEBT,nat) > nat ).

tff(func_def_2292,type,
    sK1385: product_prod(vEBT_VEBT,nat) > nat ).

tff(func_def_2293,type,
    sK1386: product_prod(vEBT_VEBT,nat) > nat ).

tff(func_def_2294,type,
    sK1387: product_prod(vEBT_VEBT,nat) > list(vEBT_VEBT) ).

tff(func_def_2295,type,
    sK1388: product_prod(vEBT_VEBT,nat) > vEBT_VEBT ).

tff(func_def_2296,type,
    sK1389: product_prod(vEBT_VEBT,nat) > nat ).

tff(func_def_2297,type,
    sK1390: product_prod(vEBT_VEBT,nat) > nat ).

tff(func_def_2298,type,
    sK1391: product_prod(vEBT_VEBT,nat) > nat ).

tff(func_def_2299,type,
    sK1392: product_prod(vEBT_VEBT,nat) > list(vEBT_VEBT) ).

tff(func_def_2300,type,
    sK1393: product_prod(vEBT_VEBT,nat) > vEBT_VEBT ).

tff(func_def_2301,type,
    sK1394: product_prod(vEBT_VEBT,nat) > nat ).

tff(func_def_2302,type,
    sK1395: product_prod(vEBT_VEBT,nat) > list(vEBT_VEBT) ).

tff(func_def_2303,type,
    sK1396: product_prod(vEBT_VEBT,nat) > vEBT_VEBT ).

tff(func_def_2304,type,
    sK1397: product_prod(vEBT_VEBT,nat) > nat ).

tff(func_def_2305,type,
    sK1398: product_prod(vEBT_VEBT,nat) > $o ).

tff(func_def_2306,type,
    sK1399: product_prod(vEBT_VEBT,nat) > $o ).

tff(func_def_2307,type,
    sK1400: product_prod(vEBT_VEBT,nat) > nat ).

tff(func_def_2308,type,
    sK1401: ( int * fun(int,$o) ) > int ).

tff(func_def_2309,type,
    sK1402: 
      !>[X0: $tType] : ( ( fun(X0,$o) * X0 ) > X0 ) ).

tff(func_def_2310,type,
    sK1403: 
      !>[X0: $tType] : ( ( fun(X0,$o) * X0 ) > X0 ) ).

tff(func_def_2311,type,
    sK1404: 
      !>[X0: $tType,X1: $tType] : ( X1 > X0 ) ).

tff(func_def_2312,type,
    sK1405: 
      !>[X0: $tType] : ( X0 > X0 ) ).

tff(func_def_2313,type,
    sK1406: 
      !>[X0: $tType] : ( X0 > X0 ) ).

tff(func_def_2314,type,
    sK1407: 
      !>[X0: $tType] : ( X0 > X0 ) ).

tff(func_def_2315,type,
    sK1408: 
      !>[X0: $tType] : ( X0 > X0 ) ).

tff(func_def_2316,type,
    sK1409: 
      !>[X0: $tType] : ( ( fun(X0,$o) * fun(X0,$o) * fun(X0,$o) * fun(X0,$o) ) > X0 ) ).

tff(func_def_2317,type,
    sK1410: 
      !>[X0: $tType] : ( ( fun(X0,$o) * fun(X0,$o) * X0 ) > X0 ) ).

tff(func_def_2318,type,
    sK1411: 
      !>[X0: $tType] : ( ( fun(X0,$o) * fun(X0,$o) * X0 ) > X0 ) ).

tff(func_def_2319,type,
    sK1412: 
      !>[X0: $tType] : ( ( fun(X0,$o) * fun(X0,$o) * fun(X0,$o) * fun(X0,$o) ) > X0 ) ).

tff(func_def_2320,type,
    sK1413: 
      !>[X0: $tType] : ( ( fun(X0,$o) * fun(X0,$o) * X0 ) > X0 ) ).

tff(func_def_2321,type,
    sK1414: 
      !>[X0: $tType] : ( ( fun(X0,$o) * fun(X0,$o) * X0 ) > X0 ) ).

tff(func_def_2322,type,
    sK1415: 
      !>[X0: $tType,X1: $tType] : ( X1 > X0 ) ).

tff(func_def_2323,type,
    sK1416: 
      !>[X0: $tType] : ( X0 > X0 ) ).

tff(func_def_2324,type,
    sK1417: 
      !>[X0: $tType] : ( X0 > X0 ) ).

tff(func_def_2325,type,
    sK1418: 
      !>[X0: $tType] : ( X0 > X0 ) ).

tff(func_def_2326,type,
    sK1419: 
      !>[X0: $tType] : ( X0 > X0 ) ).

tff(func_def_2327,type,
    sK1420: 
      !>[X0: $tType] : ( ( fun(X0,$o) * fun(X0,$o) * fun(X0,$o) * fun(X0,$o) ) > X0 ) ).

tff(func_def_2328,type,
    sK1421: 
      !>[X0: $tType] : ( ( fun(X0,$o) * fun(X0,$o) * X0 ) > X0 ) ).

tff(func_def_2329,type,
    sK1422: 
      !>[X0: $tType] : ( ( fun(X0,$o) * fun(X0,$o) * X0 ) > X0 ) ).

tff(func_def_2330,type,
    sK1423: 
      !>[X0: $tType] : ( ( fun(X0,$o) * fun(X0,$o) * fun(X0,$o) * fun(X0,$o) ) > X0 ) ).

tff(func_def_2331,type,
    sK1424: 
      !>[X0: $tType] : ( ( fun(X0,$o) * fun(X0,$o) * X0 ) > X0 ) ).

tff(func_def_2332,type,
    sK1425: 
      !>[X0: $tType] : ( ( fun(X0,$o) * fun(X0,$o) * X0 ) > X0 ) ).

tff(func_def_2333,type,
    sK1426: 
      !>[X0: $tType] : ( X0 > X0 ) ).

tff(func_def_2334,type,
    sK1427: 
      !>[X0: $tType] : ( X0 > X0 ) ).

tff(func_def_2335,type,
    sK1428: 
      !>[X0: $tType] : ( X0 > X0 ) ).

tff(func_def_2336,type,
    sK1429: 
      !>[X0: $tType] : ( X0 > X0 ) ).

tff(func_def_2337,type,
    sK1430: nat > nat ).

tff(func_def_2338,type,
    sK1431: 
      !>[X0: $tType] : ( ( X0 * X0 ) > X0 ) ).

tff(func_def_2339,type,
    sK1432: 
      !>[X0: $tType] : ( ( X0 * X0 ) > X0 ) ).

tff(func_def_2340,type,
    sK1433: 
      !>[X0: $tType] : ( ( X0 * X0 ) > X0 ) ).

tff(func_def_2341,type,
    sK1434: 
      !>[X0: $tType] : ( ( X0 * X0 ) > X0 ) ).

tff(func_def_2342,type,
    sK1435: 
      !>[X0: $tType] : ( ( list(list(X0)) * nat ) > list(X0) ) ).

tff(func_def_2343,type,
    sK1436: fun(nat,$o) > nat ).

tff(func_def_2344,type,
    sK1437: ( int * fun(int,$o) ) > int ).

tff(func_def_2345,type,
    sK1438: ( int * fun(int,$o) ) > int ).

tff(func_def_2346,type,
    sK1439: ( fun(nat,$o) * nat * nat ) > nat ).

tff(func_def_2347,type,
    sK1440: ( fun(nat,$o) * nat * nat ) > nat ).

tff(func_def_2348,type,
    sK1441: fun(int,$o) > int ).

tff(func_def_2349,type,
    sK1442: ( fun(int,$o) * fun(int,$o) * int ) > int ).

tff(func_def_2350,type,
    sK1443: ( int * fun(int,$o) ) > int ).

tff(func_def_2351,type,
    sK1444: ( int * fun(int,$o) ) > int ).

tff(func_def_2352,type,
    sK1445: fun(int,$o) > int ).

tff(func_def_2353,type,
    sK1446: ( fun(int,$o) * fun(int,$o) * int ) > int ).

tff(func_def_2354,type,
    sK1447: ( int * fun(int,$o) ) > int ).

tff(func_def_2355,type,
    sK1448: ( int * fun(int,$o) ) > int ).

tff(func_def_2356,type,
    sK1449: ( fun(int,$o) * int ) > int ).

tff(func_def_2357,type,
    sK1450: ( fun(int,$o) * int ) > int ).

tff(func_def_2358,type,
    sK1451: ( int * fun(int,$o) ) > int ).

tff(func_def_2359,type,
    sK1452: 
      !>[X0: $tType] : ( ( fun(nat,X0) * fun(nat,X0) ) > nat ) ).

tff(func_def_2360,type,
    sK1453: 
      !>[X0: $tType] : ( ( set(X0) * set(X0) ) > X0 ) ).

tff(func_def_2361,type,
    sK1454: product_prod(num,num) > num ).

tff(func_def_2362,type,
    sK1455: product_prod(num,num) > num ).

tff(func_def_2363,type,
    sK1456: product_prod(num,num) > num ).

tff(func_def_2364,type,
    sK1457: product_prod(num,num) > num ).

tff(func_def_2365,type,
    sK1458: product_prod(num,num) > num ).

tff(func_def_2366,type,
    sK1459: product_prod(num,num) > num ).

tff(func_def_2367,type,
    sK1460: product_prod(num,num) > num ).

tff(func_def_2368,type,
    sK1461: product_prod(num,num) > num ).

tff(func_def_2369,type,
    sK1462: product_prod(num,num) > num ).

tff(func_def_2370,type,
    sK1463: product_prod(num,num) > num ).

tff(func_def_2371,type,
    sK1464: product_prod(num,num) > num ).

tff(func_def_2372,type,
    sK1465: product_prod(num,num) > num ).

tff(func_def_2373,type,
    sK1466: num > num ).

tff(func_def_2374,type,
    sK1467: num > num ).

tff(func_def_2375,type,
    sK1468: ( real * real ) > nat ).

tff(func_def_2376,type,
    sK1469: ( real * real ) > nat ).

tff(func_def_2377,type,
    sK1470: fun(int,$o) > int ).

tff(func_def_2378,type,
    sK1471: fun(int,$o) > int ).

tff(func_def_2379,type,
    sK1472: 
      !>[X0: $tType] : ( X0 > nat ) ).

tff(func_def_2380,type,
    sK1473: int > nat ).

tff(func_def_2381,type,
    sK1474: int > nat ).

tff(func_def_2382,type,
    sK1475: fun(int,$o) > nat ).

tff(func_def_2383,type,
    sK1476: fun(int,$o) > nat ).

tff(func_def_2384,type,
    sK1477: int > nat ).

tff(func_def_2385,type,
    sK1478: int > nat ).

tff(func_def_2386,type,
    sK1479: int > nat ).

tff(func_def_2387,type,
    sK1480: int > nat ).

tff(func_def_2388,type,
    sK1481: int > nat ).

tff(func_def_2389,type,
    sK1482: ( int * int ) > nat ).

tff(func_def_2390,type,
    sK1483: int > nat ).

tff(func_def_2391,type,
    sK1484: int > nat ).

tff(func_def_2392,type,
    sK1485: int > nat ).

tff(func_def_2393,type,
    sK1486: ( int * int ) > nat ).

tff(func_def_2394,type,
    sK1487: int > nat ).

tff(func_def_2395,type,
    sK1488: int > nat ).

tff(func_def_2396,type,
    sK1489: int > nat ).

tff(func_def_2397,type,
    sK1490: 
      !>[X0: $tType] : ( X0 > nat ) ).

tff(func_def_2398,type,
    sK1491: 
      !>[X0: $tType] : ( X0 > nat ) ).

tff(func_def_2399,type,
    sK1492: fun(nat,$o) > nat ).

tff(func_def_2400,type,
    sK1493: ( fun(real,fun(real,$o)) * real * real ) > real ).

tff(func_def_2401,type,
    sK1494: ( fun(real,fun(real,$o)) * real * real * real ) > real ).

tff(func_def_2402,type,
    sK1495: ( fun(real,fun(real,$o)) * real * real * real ) > real ).

tff(func_def_2403,type,
    sK1496: fun(real,fun(real,$o)) > real ).

tff(func_def_2404,type,
    sK1497: fun(real,fun(real,$o)) > real ).

tff(func_def_2405,type,
    sK1498: fun(real,fun(real,$o)) > real ).

tff(func_def_2406,type,
    sK1499: 
      !>[X0: $tType] : ( ( X0 * X0 ) > nat ) ).

tff(func_def_2407,type,
    sK1500: fun(num,$o) > num ).

tff(func_def_2408,type,
    sK1501: 
      !>[X0: $tType,X1: $tType] : ( fun(X0,X1) > real ) ).

tff(func_def_2409,type,
    sK1502: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * nat ) > X0 ) ).

tff(func_def_2410,type,
    sK1503: 
      !>[X0: $tType,X1: $tType] : ( fun(X0,X1) > nat ) ).

tff(func_def_2411,type,
    sK1504: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * real ) > X0 ) ).

tff(func_def_2412,type,
    sK1505: 
      !>[X0: $tType,X1: $tType] : ( fun(X0,X1) > real ) ).

tff(func_def_2413,type,
    sK1506: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * nat ) > X0 ) ).

tff(func_def_2414,type,
    sK1507: 
      !>[X0: $tType,X1: $tType] : ( fun(X0,X1) > nat ) ).

tff(func_def_2415,type,
    sK1508: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * real ) > X0 ) ).

tff(func_def_2416,type,
    sK1509: 
      !>[X0: $tType] : ( ( X0 * nat ) > nat ) ).

tff(func_def_2417,type,
    sK1510: 
      !>[X0: $tType] : ( ( X0 * X0 ) > nat ) ).

tff(func_def_2418,type,
    sK1511: 
      !>[X0: $tType] : ( X0 > X0 ) ).

tff(func_def_2419,type,
    sK1512: ( real * real * real ) > real ).

tff(func_def_2420,type,
    sK1513: ( real * real * real ) > real ).

tff(func_def_2421,type,
    sK1514: 
      !>[X0: $tType] : ( X0 > nat ) ).

tff(func_def_2422,type,
    sK1515: int > nat ).

tff(func_def_2423,type,
    sK1516: 
      !>[X0: $tType] : ( X0 > nat ) ).

tff(func_def_2424,type,
    sK1517: 
      !>[X0: $tType] : ( fun(X0,fun(X0,$o)) > X0 ) ).

tff(func_def_2425,type,
    sK1518: ( fun(nat,int) * nat * nat ) > nat ).

tff(func_def_2426,type,
    sK1519: ( nat * nat * fun(nat,int) * int ) > nat ).

tff(func_def_2427,type,
    sK1520: ( nat * fun(nat,int) * int ) > nat ).

tff(func_def_2428,type,
    sK1521: ( nat * fun(nat,int) ) > nat ).

tff(func_def_2429,type,
    sK1522: ( nat * fun(nat,int) * int ) > nat ).

tff(func_def_2430,type,
    sK1523: ( nat * fun(nat,int) ) > nat ).

tff(func_def_2431,type,
    sK1524: 
      !>[X0: $tType] : ( ( X0 * X0 ) > nat ) ).

tff(func_def_2432,type,
    sK1525: real > real ).

tff(func_def_2433,type,
    sK1526: real > real ).

tff(func_def_2434,type,
    sK1527: ( int * int * product_prod(int,int) ) > int ).

tff(func_def_2435,type,
    sK1528: ( int * int * product_prod(int,int) ) > int ).

tff(func_def_2436,type,
    sK1529: ( int * int * product_prod(int,int) ) > int ).

tff(func_def_2437,type,
    sK1530: ( int * int * product_prod(int,int) ) > int ).

tff(func_def_2438,type,
    sK1531: ( int * int * product_prod(int,int) ) > int ).

tff(func_def_2439,type,
    sK1532: ( int * int * product_prod(int,int) ) > int ).

tff(func_def_2440,type,
    sK1533: ( int * int * product_prod(int,int) ) > int ).

tff(func_def_2441,type,
    sK1534: ( int * int * product_prod(int,int) ) > int ).

tff(func_def_2442,type,
    sK1535: ( int * int * product_prod(int,int) ) > int ).

tff(func_def_2443,type,
    sK1536: ( int * int * product_prod(int,int) ) > int ).

tff(func_def_2444,type,
    sK1537: ( int * int * product_prod(int,int) ) > int ).

tff(func_def_2445,type,
    sK1538: fun(nat,$o) > nat ).

tff(func_def_2446,type,
    sK1539: fun(nat,$o) > int ).

tff(func_def_2447,type,
    sK1540: fun(nat,$o) > int ).

tff(func_def_2448,type,
    sK1541: fun(nat,$o) > nat ).

tff(func_def_2449,type,
    sK1542: ( fun(nat,$o) * int ) > nat ).

tff(func_def_2450,type,
    sK1543: real > real ).

tff(func_def_2451,type,
    sK1544: ( real * real ) > real ).

tff(func_def_2452,type,
    sK1545: real ).

tff(func_def_2453,type,
    sK1546: real > real ).

tff(func_def_2454,type,
    sK1547: ( real * real ) > real ).

tff(func_def_2455,type,
    sK1548: ( real * real ) > real ).

tff(func_def_2456,type,
    sK1549: ( real * real ) > real ).

tff(func_def_2457,type,
    sK1550: real > real ).

tff(func_def_2458,type,
    sK1551: real > nat ).

tff(func_def_2459,type,
    sK1552: real > nat ).

tff(func_def_2460,type,
    sK1553: real > nat ).

tff(func_def_2461,type,
    sK1554: real > nat ).

tff(func_def_2462,type,
    sK1555: real > nat ).

tff(func_def_2463,type,
    sK1556: real > nat ).

tff(func_def_2464,type,
    sK1557: real > nat ).

tff(func_def_2465,type,
    sK1558: real > nat ).

tff(func_def_2466,type,
    sK1559: complex > real ).

tff(func_def_2467,type,
    sK1560: real > real ).

tff(func_def_2468,type,
    sK1561: real > real ).

tff(func_def_2469,type,
    sK1562: real > real ).

tff(func_def_2470,type,
    sK1563: real > real ).

tff(func_def_2471,type,
    sK1564: real > real ).

tff(func_def_2472,type,
    sK1565: 
      !>[X0: $tType] : ( X0 > int ) ).

tff(func_def_2473,type,
    sK1566: 
      !>[X0: $tType] : ( X0 > int ) ).

tff(func_def_2474,type,
    sK1567: 
      !>[X0: $tType] : ( X0 > int ) ).

tff(func_def_2475,type,
    sK1568: 
      !>[X0: $tType] : ( X0 > int ) ).

tff(func_def_2476,type,
    sK1569: 
      !>[X0: $tType] : ( X0 > int ) ).

tff(func_def_2477,type,
    sK1570: 
      !>[X0: $tType] : ( ( fun(int,$o) * X0 ) > int ) ).

tff(func_def_2478,type,
    sK1571: 
      !>[X0: $tType] : ( X0 > int ) ).

tff(func_def_2479,type,
    sK1572: 
      !>[X0: $tType] : ( X0 > int ) ).

tff(func_def_2480,type,
    sK1573: 
      !>[X0: $tType] : ( ( fun(int,$o) * X0 ) > int ) ).

tff(func_def_2481,type,
    sK1574: real > int ).

tff(func_def_2482,type,
    sK1575: real > int ).

tff(func_def_2483,type,
    sK1576: real > int ).

tff(func_def_2484,type,
    sK1577: real > int ).

tff(func_def_2485,type,
    sK1578: 
      !>[X0: $tType] : ( X0 > nat ) ).

tff(func_def_2486,type,
    sK1579: fun(real,$o) > nat ).

tff(func_def_2487,type,
    sK1580: fun(real,$o) > real ).

tff(func_def_2488,type,
    sK1581: fun(real,$o) > real ).

tff(func_def_2489,type,
    sK1582: fun(real,$o) > nat ).

tff(func_def_2490,type,
    sK1583: fun(real,$o) > real ).

tff(func_def_2491,type,
    sK1584: fun(real,$o) > real ).

tff(func_def_2492,type,
    sK1585: real > nat ).

tff(func_def_2493,type,
    sK1586: 
      !>[X0: $tType] : ( X0 > nat ) ).

tff(func_def_2494,type,
    sK1587: 
      !>[X0: $tType] : ( ( nat * X0 ) > X0 ) ).

tff(func_def_2495,type,
    sK1588: fun(nat,real) > nat ).

tff(func_def_2496,type,
    sK1589: ( fun(nat,real) * nat ) > nat ).

tff(func_def_2497,type,
    sK1590: ( fun(nat,real) * nat ) > nat ).

tff(func_def_2498,type,
    sK1591: ( fun(nat,real) * nat ) > nat ).

tff(func_def_2499,type,
    sK1592: ( nat * vEBT_VEBT ) > nat ).

tff(func_def_2500,type,
    sK1593: ( nat * vEBT_VEBT ) > nat ).

tff(func_def_2501,type,
    sK1594: ( nat * vEBT_VEBT ) > nat ).

tff(func_def_2502,type,
    sK1595: ( nat * vEBT_VEBT ) > list(vEBT_VEBT) ).

tff(func_def_2503,type,
    sK1596: ( nat * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_2504,type,
    sK1597: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_2505,type,
    sK1598: ( vEBT_VEBT * nat ) > list(vEBT_VEBT) ).

tff(func_def_2506,type,
    sK1599: ( vEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_2507,type,
    sK1600: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_2508,type,
    sK1601: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_2509,type,
    sK1602: ( vEBT_VEBT * nat ) > list(vEBT_VEBT) ).

tff(func_def_2510,type,
    sK1603: ( vEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_2511,type,
    sK1604: vEBT_VEBT > list(vEBT_VEBT) ).

tff(func_def_2512,type,
    sK1605: vEBT_VEBT > vEBT_VEBT ).

tff(func_def_2513,type,
    sK1606: vEBT_VEBT > $o ).

tff(func_def_2514,type,
    sK1607: vEBT_VEBT > $o ).

tff(func_def_2515,type,
    sK1608: ( nat * $o * vEBT_VEBT ) > nat ).

tff(func_def_2516,type,
    sK1609: ( nat * $o * vEBT_VEBT ) > list(vEBT_VEBT) ).

tff(func_def_2517,type,
    sK1610: ( nat * $o * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_2518,type,
    sK1611: ( nat * $o * vEBT_VEBT ) > nat ).

tff(func_def_2519,type,
    sK1612: ( nat * $o * vEBT_VEBT ) > nat ).

tff(func_def_2520,type,
    sK1613: ( nat * $o * vEBT_VEBT ) > list(vEBT_VEBT) ).

tff(func_def_2521,type,
    sK1614: ( nat * $o * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_2522,type,
    sK1615: ( nat * $o * vEBT_VEBT ) > nat ).

tff(func_def_2523,type,
    sK1616: ( nat * $o * vEBT_VEBT ) > nat ).

tff(func_def_2524,type,
    sK1617: ( nat * $o * vEBT_VEBT ) > nat ).

tff(func_def_2525,type,
    sK1618: ( nat * $o * vEBT_VEBT ) > list(vEBT_VEBT) ).

tff(func_def_2526,type,
    sK1619: ( nat * $o * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_2527,type,
    sK1620: vEBT_VEBT > list(vEBT_VEBT) ).

tff(func_def_2528,type,
    sK1621: vEBT_VEBT > vEBT_VEBT ).

tff(func_def_2529,type,
    sK1622: vEBT_VEBT > $o ).

tff(func_def_2530,type,
    sK1623: vEBT_VEBT > $o ).

tff(func_def_2531,type,
    sK1624: 
      !>[X0: $tType] : ( ( fun(nat,X0) * real ) > nat ) ).

tff(func_def_2532,type,
    sK1625: 
      !>[X0: $tType] : ( fun(nat,X0) > real ) ).

tff(func_def_2533,type,
    sK1626: 
      !>[X0: $tType] : ( ( fun(nat,X0) * nat ) > nat ) ).

tff(func_def_2534,type,
    sK1627: 
      !>[X0: $tType] : ( ( fun(nat,X0) * nat ) > nat ) ).

tff(func_def_2535,type,
    sK1628: 
      !>[X0: $tType] : ( fun(nat,X0) > real ) ).

tff(func_def_2536,type,
    sK1629: 
      !>[X0: $tType] : ( ( fun(nat,X0) * nat ) > nat ) ).

tff(func_def_2537,type,
    sK1630: 
      !>[X0: $tType] : ( ( fun(nat,X0) * nat ) > nat ) ).

tff(func_def_2538,type,
    sK1631: 
      !>[X0: $tType] : ( ( fun(nat,X0) * real ) > nat ) ).

tff(func_def_2539,type,
    sK1632: ( nat * $o * vEBT_VEBT ) > option(product_prod(nat,nat)) ).

tff(func_def_2540,type,
    sK1633: ( nat * $o * vEBT_VEBT ) > nat ).

tff(func_def_2541,type,
    sK1634: ( nat * $o * vEBT_VEBT ) > list(vEBT_VEBT) ).

tff(func_def_2542,type,
    sK1635: ( nat * $o * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_2543,type,
    sK1636: ( nat * $o * vEBT_VEBT ) > $o ).

tff(func_def_2544,type,
    sK1637: ( nat * $o * vEBT_VEBT ) > $o ).

tff(func_def_2545,type,
    sK1638: vEBT_VEBT > option(product_prod(nat,nat)) ).

tff(func_def_2546,type,
    sK1639: vEBT_VEBT > list(vEBT_VEBT) ).

tff(func_def_2547,type,
    sK1640: vEBT_VEBT > vEBT_VEBT ).

tff(func_def_2548,type,
    sK1641: ( vEBT_VEBT * nat ) > option(product_prod(nat,nat)) ).

tff(func_def_2549,type,
    sK1642: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_2550,type,
    sK1643: ( vEBT_VEBT * nat ) > list(vEBT_VEBT) ).

tff(func_def_2551,type,
    sK1644: ( vEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_2552,type,
    sK1645: ( vEBT_VEBT * nat ) > $o ).

tff(func_def_2553,type,
    sK1646: ( vEBT_VEBT * nat ) > $o ).

tff(func_def_2554,type,
    sK1647: ( vEBT_VEBT * nat ) > option(product_prod(nat,nat)) ).

tff(func_def_2555,type,
    sK1648: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_2556,type,
    sK1649: ( vEBT_VEBT * nat ) > list(vEBT_VEBT) ).

tff(func_def_2557,type,
    sK1650: ( vEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_2558,type,
    sK1651: vEBT_VEBT > option(product_prod(nat,nat)) ).

tff(func_def_2559,type,
    sK1652: vEBT_VEBT > list(vEBT_VEBT) ).

tff(func_def_2560,type,
    sK1653: vEBT_VEBT > vEBT_VEBT ).

tff(func_def_2561,type,
    sK1654: ( vEBT_VEBT * nat ) > $o ).

tff(func_def_2562,type,
    sK1655: ( vEBT_VEBT * nat ) > $o ).

tff(func_def_2563,type,
    sK1656: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_2564,type,
    sK1657: ( vEBT_VEBT * nat ) > list(vEBT_VEBT) ).

tff(func_def_2565,type,
    sK1658: ( vEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_2566,type,
    sK1659: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_2567,type,
    sK1660: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_2568,type,
    sK1661: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_2569,type,
    sK1662: ( vEBT_VEBT * nat ) > list(vEBT_VEBT) ).

tff(func_def_2570,type,
    sK1663: ( vEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_2571,type,
    sK1664: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_2572,type,
    sK1665: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_2573,type,
    sK1666: ( vEBT_VEBT * nat ) > list(vEBT_VEBT) ).

tff(func_def_2574,type,
    sK1667: ( vEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_2575,type,
    sK1668: 
      !>[X0: $tType] : ( ( fun(X0,$o) * fun(X0,$o) ) > X0 ) ).

tff(func_def_2576,type,
    sK1669: ( nat * vEBT_VEBT ) > nat ).

tff(func_def_2577,type,
    sK1670: 
      !>[X0: $tType] : ( ( nat * X0 * fun(X0,$o) ) > X0 ) ).

tff(func_def_2578,type,
    sK1671: 
      !>[X0: $tType] : ( ( nat * X0 * fun(X0,$o) ) > X0 ) ).

tff(func_def_2579,type,
    sK1672: 
      !>[X0: $tType] : ( ( fun(nat,X0) * fun(nat,real) * nat ) > nat ) ).

tff(func_def_2580,type,
    sK1673: 
      !>[X0: $tType] : ( ( fun(nat,real) * nat * fun(nat,X0) ) > nat ) ).

tff(func_def_2581,type,
    sK1674: 
      !>[X0: $tType] : ( ( fun(nat,X0) * fun(nat,X0) ) > nat ) ).

tff(func_def_2582,type,
    sK1675: 
      !>[X0: $tType] : ( ( fun(nat,complex) * nat * fun(nat,X0) ) > nat ) ).

tff(func_def_2583,type,
    sK1676: fun(nat,complex) > nat ).

tff(func_def_2584,type,
    sK1677: fun(nat,complex) > nat ).

tff(func_def_2585,type,
    sK1678: 
      !>[X0: $tType] : ( fun(nat,X0) > nat ) ).

tff(func_def_2586,type,
    sK1679: 
      !>[X0: $tType] : ( fun(nat,X0) > nat ) ).

tff(func_def_2587,type,
    sK1680: 
      !>[X0: $tType] : ( fun(nat,X0) > nat ) ).

tff(func_def_2588,type,
    sK1681: 
      !>[X0: $tType] : ( fun(nat,X0) > nat ) ).

tff(func_def_2589,type,
    sK1682: 
      !>[X0: $tType] : ( ( list(X0) * X0 ) > X0 ) ).

tff(func_def_2590,type,
    sK1683: 
      !>[X0: $tType] : ( ( list(X0) * X0 ) > X0 ) ).

tff(func_def_2591,type,
    sK1684: 
      !>[X0: $tType] : ( ( fun(nat,X0) * fun(nat,real) * nat ) > nat ) ).

tff(func_def_2592,type,
    sK1685: ( fun(nat,real) * fun(nat,real) * nat ) > nat ).

tff(func_def_2593,type,
    sK1686: 
      !>[X0: $tType] : ( fun(nat,X0) > nat ) ).

tff(func_def_2594,type,
    sK1687: 
      !>[X0: $tType] : ( fun(nat,X0) > nat ) ).

tff(func_def_2595,type,
    sK1688: 
      !>[X0: $tType] : ( fun(nat,X0) > nat ) ).

tff(func_def_2596,type,
    sK1689: 
      !>[X0: $tType] : ( ( real * fun(nat,X0) ) > nat ) ).

tff(func_def_2597,type,
    sK1690: fun(nat,real) > nat ).

tff(func_def_2598,type,
    sK1691: fun(nat,real) > nat ).

tff(func_def_2599,type,
    sK1692: 
      !>[X0: $tType] : ( ( real * fun(nat,X0) * real ) > nat ) ).

tff(func_def_2600,type,
    sK1693: 
      !>[X0: $tType] : ( ( real * nat * fun(nat,X0) ) > nat ) ).

tff(func_def_2601,type,
    sK1694: ( nat * $o * vEBT_VEBT ) > list(vEBT_VEBT) ).

tff(func_def_2602,type,
    sK1695: ( nat * $o * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_2603,type,
    sK1696: ( nat * $o * vEBT_VEBT ) > $o ).

tff(func_def_2604,type,
    sK1697: ( nat * $o * vEBT_VEBT ) > $o ).

tff(func_def_2605,type,
    sK1698: ( nat * $o * vEBT_VEBT ) > nat ).

tff(func_def_2606,type,
    sK1699: ( nat * $o * vEBT_VEBT ) > nat ).

tff(func_def_2607,type,
    sK1700: ( nat * $o * vEBT_VEBT ) > list(vEBT_VEBT) ).

tff(func_def_2608,type,
    sK1701: ( nat * $o * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_2609,type,
    sK1702: ( nat * $o * vEBT_VEBT ) > nat ).

tff(func_def_2610,type,
    sK1703: ( nat * $o * vEBT_VEBT ) > nat ).

tff(func_def_2611,type,
    sK1704: ( nat * $o * vEBT_VEBT ) > nat ).

tff(func_def_2612,type,
    sK1705: ( nat * $o * vEBT_VEBT ) > list(vEBT_VEBT) ).

tff(func_def_2613,type,
    sK1706: ( nat * $o * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_2614,type,
    sK1707: ( vEBT_VEBT * nat * $o ) > nat ).

tff(func_def_2615,type,
    sK1708: ( vEBT_VEBT * nat * $o ) > list(vEBT_VEBT) ).

tff(func_def_2616,type,
    sK1709: ( vEBT_VEBT * nat * $o ) > vEBT_VEBT ).

tff(func_def_2617,type,
    sK1710: ( nat * vEBT_VEBT ) > nat ).

tff(func_def_2618,type,
    sK1711: ( nat * vEBT_VEBT ) > list(vEBT_VEBT) ).

tff(func_def_2619,type,
    sK1712: ( nat * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_2620,type,
    sK1713: ( nat * vEBT_VEBT ) > nat ).

tff(func_def_2621,type,
    sK1714: ( nat * vEBT_VEBT ) > nat ).

tff(func_def_2622,type,
    sK1715: ( nat * vEBT_VEBT ) > list(vEBT_VEBT) ).

tff(func_def_2623,type,
    sK1716: ( nat * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_2624,type,
    sK1717: ( nat * vEBT_VEBT ) > nat ).

tff(func_def_2625,type,
    sK1718: ( nat * vEBT_VEBT ) > nat ).

tff(func_def_2626,type,
    sK1719: ( nat * vEBT_VEBT ) > nat ).

tff(func_def_2627,type,
    sK1720: ( nat * vEBT_VEBT ) > list(vEBT_VEBT) ).

tff(func_def_2628,type,
    sK1721: ( nat * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_2629,type,
    sK1722: ( vEBT_VEBT * nat ) > list(vEBT_VEBT) ).

tff(func_def_2630,type,
    sK1723: ( vEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_2631,type,
    sK1724: ( vEBT_VEBT * nat ) > $o ).

tff(func_def_2632,type,
    sK1725: ( vEBT_VEBT * nat ) > $o ).

tff(func_def_2633,type,
    sK1726: 
      !>[X0: $tType] : ( ( fun(nat,X0) * fun(nat,X0) ) > nat ) ).

tff(func_def_2634,type,
    sK1727: 
      !>[X0: $tType] : ( ( nat * fun(nat,X0) ) > nat ) ).

tff(func_def_2635,type,
    sK1728: ( nat * vEBT_VEBT ) > nat ).

tff(func_def_2636,type,
    sK1729: ( nat * vEBT_VEBT ) > nat ).

tff(func_def_2637,type,
    sK1730: ( nat * vEBT_VEBT ) > nat ).

tff(func_def_2638,type,
    sK1731: ( nat * vEBT_VEBT ) > list(vEBT_VEBT) ).

tff(func_def_2639,type,
    sK1732: ( nat * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_2640,type,
    sK1733: ( nat * vEBT_VEBT ) > nat ).

tff(func_def_2641,type,
    sK1734: ( nat * vEBT_VEBT ) > nat ).

tff(func_def_2642,type,
    sK1735: ( nat * vEBT_VEBT ) > list(vEBT_VEBT) ).

tff(func_def_2643,type,
    sK1736: ( nat * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_2644,type,
    sK1737: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_2645,type,
    sK1738: ( vEBT_VEBT * nat ) > list(vEBT_VEBT) ).

tff(func_def_2646,type,
    sK1739: ( vEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_2647,type,
    sK1740: ( nat * vEBT_VEBT ) > $o ).

tff(func_def_2648,type,
    sK1741: ( nat * vEBT_VEBT ) > $o ).

tff(func_def_2649,type,
    sK1742: ( vEBT_VEBT * nat ) > option(product_prod(nat,nat)) ).

tff(func_def_2650,type,
    sK1743: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_2651,type,
    sK1744: ( vEBT_VEBT * nat ) > list(vEBT_VEBT) ).

tff(func_def_2652,type,
    sK1745: ( vEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_2653,type,
    sK1746: ( vEBT_VEBT * nat ) > option(product_prod(nat,nat)) ).

tff(func_def_2654,type,
    sK1747: ( vEBT_VEBT * nat ) > list(vEBT_VEBT) ).

tff(func_def_2655,type,
    sK1748: ( vEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_2656,type,
    sK1749: ( nat * vEBT_VEBT ) > $o ).

tff(func_def_2657,type,
    sK1750: ( nat * vEBT_VEBT ) > $o ).

tff(func_def_2658,type,
    sK1751: ( vEBT_VEBT * nat ) > option(product_prod(nat,nat)) ).

tff(func_def_2659,type,
    sK1752: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_2660,type,
    sK1753: ( vEBT_VEBT * nat ) > list(vEBT_VEBT) ).

tff(func_def_2661,type,
    sK1754: ( vEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_2662,type,
    sK1755: ( nat * $o * vEBT_VEBT ) > option(product_prod(nat,nat)) ).

tff(func_def_2663,type,
    sK1756: ( nat * $o * vEBT_VEBT ) > list(vEBT_VEBT) ).

tff(func_def_2664,type,
    sK1757: ( nat * $o * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_2665,type,
    sK1758: ( nat * $o * vEBT_VEBT ) > $o ).

tff(func_def_2666,type,
    sK1759: ( nat * $o * vEBT_VEBT ) > $o ).

tff(func_def_2667,type,
    sK1760: ( vEBT_VEBT * nat * $o ) > option(product_prod(nat,nat)) ).

tff(func_def_2668,type,
    sK1761: ( vEBT_VEBT * nat * $o ) > nat ).

tff(func_def_2669,type,
    sK1762: ( vEBT_VEBT * nat * $o ) > list(vEBT_VEBT) ).

tff(func_def_2670,type,
    sK1763: ( vEBT_VEBT * nat * $o ) > vEBT_VEBT ).

tff(func_def_2671,type,
    sK1764: 
      !>[X0: $tType] : ( fun(nat,X0) > X0 ) ).

tff(func_def_2672,type,
    sK1765: 
      !>[X0: $tType] : ( ( real * fun(nat,X0) ) > X0 ) ).

tff(func_def_2673,type,
    sK1766: 
      !>[X0: $tType] : ( fun(nat,X0) > nat ) ).

tff(func_def_2674,type,
    sK1767: 
      !>[X0: $tType] : ( fun(nat,X0) > nat ) ).

tff(func_def_2675,type,
    sK1768: 
      !>[X0: $tType] : ( fun(nat,X0) > nat ) ).

tff(func_def_2676,type,
    sK1769: 
      !>[X0: $tType] : ( fun(nat,X0) > nat ) ).

tff(func_def_2677,type,
    sK1770: 
      !>[X0: $tType] : ( fun(nat,X0) > nat ) ).

tff(func_def_2678,type,
    sK1771: 
      !>[X0: $tType] : ( fun(nat,X0) > nat ) ).

tff(func_def_2679,type,
    sK1772: 
      !>[X0: $tType] : ( fun(nat,X0) > nat ) ).

tff(func_def_2680,type,
    sK1773: 
      !>[X0: $tType] : ( fun(nat,X0) > nat ) ).

tff(func_def_2681,type,
    sK1774: 
      !>[X0: $tType] : ( fun(nat,X0) > nat ) ).

tff(func_def_2682,type,
    sK1775: 
      !>[X0: $tType] : ( fun(nat,X0) > nat ) ).

tff(func_def_2683,type,
    sK1776: 
      !>[X0: $tType] : ( fun(nat,X0) > nat ) ).

tff(func_def_2684,type,
    sK1777: 
      !>[X0: $tType] : ( fun(nat,X0) > nat ) ).

tff(func_def_2685,type,
    sK1778: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,X0) * fun(X1,real) ) > X1 ) ).

tff(func_def_2686,type,
    sK1779: 
      !>[X0: $tType] : ( ( fun(nat,X0) * nat * fun(nat,X0) ) > nat ) ).

tff(func_def_2687,type,
    sK1780: 
      !>[X0: $tType] : ( ( fun(nat,X0) * nat * fun(nat,X0) ) > X0 ) ).

tff(func_def_2688,type,
    sK1781: 
      !>[X0: $tType] : ( ( fun(nat,X0) * X0 ) > nat ) ).

tff(func_def_2689,type,
    sK1782: 
      !>[X0: $tType] : ( fun(nat,X0) > nat ) ).

tff(func_def_2690,type,
    sK1783: 
      !>[X0: $tType] : ( ( fun(nat,X0) * nat ) > nat ) ).

tff(func_def_2691,type,
    sK1784: 
      !>[X0: $tType] : ( ( fun(nat,X0) * nat ) > X0 ) ).

tff(func_def_2692,type,
    sK1785: 
      !>[X0: $tType] : ( ( fun(nat,X0) * nat ) > X0 ) ).

tff(func_def_2693,type,
    sK1786: 
      !>[X0: $tType] : ( ( nat * fun(nat,X0) ) > nat ) ).

tff(func_def_2694,type,
    sK1787: 
      !>[X0: $tType] : ( ( nat * fun(nat,X0) ) > nat ) ).

tff(func_def_2695,type,
    sK1788: ( nat * fun(nat,nat) ) > nat ).

tff(func_def_2696,type,
    sK1789: ( nat * fun(nat,nat) ) > nat ).

tff(func_def_2697,type,
    sK1790: 
      !>[X0: $tType] : ( ( real * fun(nat,X0) * nat ) > real ) ).

tff(func_def_2698,type,
    sK1791: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,X1) * X1 * X1 ) > X0 ) ).

tff(func_def_2699,type,
    sK1792: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,X1) ) > X0 ) ).

tff(func_def_2700,type,
    sK1793: ( nat * real ) > real ).

tff(func_def_2701,type,
    sK1794: 
      !>[X0: $tType] : ( ( fun(X0,nat) * fun(X0,nat) ) > X0 ) ).

tff(func_def_2702,type,
    sK1795: 
      !>[X0: $tType] : ( ( set(X0) * fun(X0,nat) * fun(X0,nat) ) > X0 ) ).

tff(func_def_2703,type,
    sK1796: 
      !>[X0: $tType] : ( ( fun(X0,nat) * set(X0) ) > X0 ) ).

tff(func_def_2704,type,
    sK1797: 
      !>[X0: $tType] : ( ( fun(nat,X0) * X0 ) > nat ) ).

tff(func_def_2705,type,
    sK1798: 
      !>[X0: $tType] : ( ( fun(nat,X0) * X0 ) > nat ) ).

tff(func_def_2706,type,
    sK1799: 
      !>[X0: $tType] : ( fun(nat,X0) > nat ) ).

tff(func_def_2707,type,
    sK1800: 
      !>[X0: $tType] : ( ( fun(nat,X0) * nat ) > nat ) ).

tff(func_def_2708,type,
    sK1801: 
      !>[X0: $tType] : ( ( fun(nat,X0) * X0 * nat ) > fun(nat,X0) ) ).

tff(func_def_2709,type,
    sK1802: 
      !>[X0: $tType] : ( ( fun(nat,X0) * nat * X0 ) > fun(nat,X0) ) ).

tff(func_def_2710,type,
    sK1803: 
      !>[X0: $tType] : ( ( nat * fun(nat,X0) * X0 ) > nat ) ).

tff(func_def_2711,type,
    sK1804: 
      !>[X0: $tType] : ( ( fun(nat,X0) * nat ) > nat ) ).

tff(func_def_2712,type,
    sK1805: ( real * fun(real,real) * fun(nat,real) * nat ) > real ).

tff(func_def_2713,type,
    sK1806: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,X0) * fun(X1,X0) ) > X1 ) ).

tff(func_def_2714,type,
    sK1807: ( real * nat ) > real ).

tff(func_def_2715,type,
    sK1808: ( fun(nat,real) * nat ) > nat ).

tff(func_def_2716,type,
    sK1809: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,X1) ) > X0 ) ).

tff(func_def_2717,type,
    sK1810: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_2718,type,
    sK1811: 
      !>[X0: $tType] : ( ( set(nat) * fun(nat,X0) * fun(nat,X0) ) > nat ) ).

tff(func_def_2719,type,
    sK1812: ( real * nat ) > real ).

tff(func_def_2720,type,
    sK1813: ( real * nat ) > real ).

tff(func_def_2721,type,
    sK1814: ( real * nat ) > real ).

tff(func_def_2722,type,
    sK1815: ( real * nat ) > real ).

tff(func_def_2723,type,
    sK1816: ( real * nat ) > real ).

tff(func_def_2724,type,
    sK1817: ( nat * real ) > real ).

tff(func_def_2725,type,
    sK1818: ( real * nat ) > real ).

tff(func_def_2726,type,
    sK1819: ( nat * fun(nat,$o) ) > nat ).

tff(func_def_2727,type,
    sK1820: ( nat * fun(nat,$o) ) > nat ).

tff(func_def_2728,type,
    sK1821: ( nat * fun(nat,$o) ) > nat ).

tff(func_def_2729,type,
    sK1822: ( nat * fun(nat,$o) ) > nat ).

tff(func_def_2730,type,
    sK1823: 
      !>[X0: $tType] : ( ( fun(nat,X0) * real ) > nat ) ).

tff(func_def_2731,type,
    sK1824: 
      !>[X0: $tType] : ( ( fun(nat,X0) * nat ) > nat ) ).

tff(func_def_2732,type,
    sK1825: 
      !>[X0: $tType] : ( ( fun(nat,X0) * nat * X0 ) > X0 ) ).

tff(func_def_2733,type,
    sK1826: ( nat * vEBT_VEBT ) > nat ).

tff(func_def_2734,type,
    sK1827: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * set(X0) ) > X0 ) ).

tff(func_def_2735,type,
    sK1828: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,X1) ) > X0 ) ).

tff(func_def_2736,type,
    sK1829: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_2737,type,
    sK1830: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,X0) * fun(X1,X0) ) > X1 ) ).

tff(func_def_2738,type,
    sK1831: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_2739,type,
    sK1832: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_2740,type,
    sK1833: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,X1) ) > X0 ) ).

tff(func_def_2741,type,
    sK1834: fun(int,$o) > int ).

tff(func_def_2742,type,
    sK1835: ( int * fun(int,$o) ) > int ).

tff(func_def_2743,type,
    sK1836: ( int * fun(int,$o) ) > int ).

tff(func_def_2744,type,
    sK1837: ( int * fun(int,$o) ) > int ).

tff(func_def_2745,type,
    sK1838: ( int * set(int) * int ) > int ).

tff(func_def_2746,type,
    sK1839: ( int * set(int) * int ) > int ).

tff(func_def_2747,type,
    sK1840: ( int * set(int) * int ) > int ).

tff(func_def_2748,type,
    sK1841: ( int * set(int) * int ) > int ).

tff(func_def_2749,type,
    sK1842: ( int * set(int) * int ) > int ).

tff(func_def_2750,type,
    sK1843: ( int * set(int) * int ) > int ).

tff(func_def_2751,type,
    sK1844: ( int * set(int) * int ) > int ).

tff(func_def_2752,type,
    sK1845: ( int * set(int) * int ) > int ).

tff(func_def_2753,type,
    sK1846: ( int * set(int) * int ) > int ).

tff(func_def_2754,type,
    sK1847: ( int * set(int) * int ) > int ).

tff(func_def_2755,type,
    sK1848: ( int * set(int) * int ) > int ).

tff(func_def_2756,type,
    sK1849: ( int * set(int) * int ) > int ).

tff(func_def_2757,type,
    sK1850: ( int * set(int) * int ) > int ).

tff(func_def_2758,type,
    sK1851: ( int * set(int) * int ) > int ).

tff(func_def_2759,type,
    sK1852: ( int * set(int) * int ) > int ).

tff(func_def_2760,type,
    sK1853: ( int * set(int) * int ) > int ).

tff(func_def_2761,type,
    sK1854: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_2762,type,
    sK1855: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_2763,type,
    sK1856: ( int * set(int) * int ) > int ).

tff(func_def_2764,type,
    sK1857: ( int * set(int) * int ) > int ).

tff(func_def_2765,type,
    sK1858: ( int * set(int) * int ) > int ).

tff(func_def_2766,type,
    sK1859: ( int * set(int) * int ) > int ).

tff(func_def_2767,type,
    sK1860: ( int * set(int) * int ) > int ).

tff(func_def_2768,type,
    sK1861: ( int * set(int) * int ) > int ).

tff(func_def_2769,type,
    sK1862: ( int * set(int) * int ) > int ).

tff(func_def_2770,type,
    sK1863: ( int * set(int) * int ) > int ).

tff(func_def_2771,type,
    sK1864: fun(int,$o) > int ).

tff(func_def_2772,type,
    sK1865: ( int * fun(int,$o) ) > int ).

tff(func_def_2773,type,
    sK1866: ( int * set(int) * fun(int,$o) ) > int ).

tff(func_def_2774,type,
    sK1867: ( int * set(int) * fun(int,$o) ) > int ).

tff(func_def_2775,type,
    sK1868: ( int * fun(int,$o) ) > int ).

tff(func_def_2776,type,
    sK1869: ( int * fun(int,$o) ) > int ).

tff(func_def_2777,type,
    sK1870: ( int * fun(int,$o) * set(int) ) > int ).

tff(func_def_2778,type,
    sK1871: ( fun(int,$o) * fun(int,$o) * int ) > int ).

tff(func_def_2779,type,
    sK1872: fun(int,$o) > int ).

tff(func_def_2780,type,
    sK1873: ( int * fun(int,$o) ) > int ).

tff(func_def_2781,type,
    sK1874: ( int * set(int) * fun(int,$o) ) > int ).

tff(func_def_2782,type,
    sK1875: ( int * set(int) * fun(int,$o) ) > int ).

tff(func_def_2783,type,
    sK1876: ( int * fun(int,$o) ) > int ).

tff(func_def_2784,type,
    sK1877: ( int * fun(int,$o) ) > int ).

tff(func_def_2785,type,
    sK1878: ( int * fun(int,$o) * set(int) ) > int ).

tff(func_def_2786,type,
    sK1879: ( fun(int,$o) * fun(int,$o) * int ) > int ).

tff(func_def_2787,type,
    sK1880: 
      !>[X0: $tType,X1: $tType] : ( ( set(product_prod(X1,X0)) * set(product_prod(X1,X0)) ) > X1 ) ).

tff(func_def_2788,type,
    sK1881: 
      !>[X0: $tType,X1: $tType] : ( ( set(product_prod(X1,X0)) * set(product_prod(X1,X0)) ) > X0 ) ).

tff(func_def_2789,type,
    sK1882: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,fun(X0,$o)) * fun(X1,fun(X0,$o)) ) > X1 ) ).

tff(func_def_2790,type,
    sK1883: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,fun(X0,$o)) * fun(X1,fun(X0,$o)) ) > X0 ) ).

tff(func_def_2791,type,
    sK1884: 
      !>[X0: $tType] : ( ( list(X0) * fun(X0,nat) * fun(X0,nat) ) > X0 ) ).

tff(func_def_2792,type,
    sK1885: ( nat * fun(nat,$o) ) > nat ).

tff(func_def_2793,type,
    sK1886: ( nat * fun(nat,$o) ) > nat ).

tff(func_def_2794,type,
    sK1887: ( nat * fun(nat,$o) ) > nat ).

tff(func_def_2795,type,
    sK1888: ( nat * fun(nat,$o) ) > nat ).

tff(func_def_2796,type,
    sK1889: 
      !>[X0: $tType,X1: $tType] : ( ( X1 * X1 * fun(X1,X0) * fun(X1,X0) ) > X1 ) ).

tff(func_def_2797,type,
    sK1890: 
      !>[X0: $tType,X1: $tType] : ( ( X1 * X1 * fun(X1,X0) * fun(X1,X0) ) > X1 ) ).

tff(func_def_2798,type,
    sK1891: 
      !>[X0: $tType] : ( fun(nat,X0) > real ) ).

tff(func_def_2799,type,
    sK1892: 
      !>[X0: $tType] : ( ( fun(nat,X0) * nat ) > nat ) ).

tff(func_def_2800,type,
    sK1893: 
      !>[X0: $tType] : ( ( fun(nat,X0) * nat ) > nat ) ).

tff(func_def_2801,type,
    sK1894: 
      !>[X0: $tType] : ( ( fun(nat,X0) * real ) > nat ) ).

tff(func_def_2802,type,
    sK1895: 
      !>[X0: $tType] : ( ( fun(X0,$o) * fun(X0,fun(X0,$o)) ) > X0 ) ).

tff(func_def_2803,type,
    sK1896: 
      !>[X0: $tType] : ( ( fun(X0,$o) * fun(X0,fun(X0,$o)) ) > X0 ) ).

tff(func_def_2804,type,
    sK1897: 
      !>[X0: $tType] : ( ( fun(X0,$o) * fun(X0,fun(X0,$o)) * fun(X0,$o) ) > X0 ) ).

tff(func_def_2805,type,
    sK1898: 
      !>[X0: $tType] : ( ( fun(nat,X0) * nat ) > nat ) ).

tff(func_def_2806,type,
    sK1899: 
      !>[X0: $tType] : ( ( fun(nat,X0) * nat ) > nat ) ).

tff(func_def_2807,type,
    sK1900: 
      !>[X0: $tType] : ( ( nat * fun(nat,X0) ) > nat ) ).

tff(func_def_2808,type,
    sK1901: 
      !>[X0: $tType] : ( ( nat * fun(nat,X0) ) > nat ) ).

tff(func_def_2809,type,
    sK1902: ( fun(nat,nat) * nat ) > nat ).

tff(func_def_2810,type,
    sK1903: ( fun(nat,nat) * nat ) > nat ).

tff(func_def_2811,type,
    sK1904: ( nat * fun(nat,nat) ) > nat ).

tff(func_def_2812,type,
    sK1905: ( nat * fun(nat,nat) ) > nat ).

tff(func_def_2813,type,
    sK1906: 
      !>[X0: $tType] : ( fun(fun(nat,fun(X0,X0)),fun(nat,fun(nat,fun(X0,$o)))) > fun(nat,fun(X0,X0)) ) ).

tff(func_def_2814,type,
    sK1907: 
      !>[X0: $tType] : ( fun(fun(nat,fun(X0,X0)),fun(nat,fun(nat,fun(X0,$o)))) > nat ) ).

tff(func_def_2815,type,
    sK1908: 
      !>[X0: $tType] : ( fun(fun(nat,fun(X0,X0)),fun(nat,fun(nat,fun(X0,$o)))) > nat ) ).

tff(func_def_2816,type,
    sK1909: 
      !>[X0: $tType] : ( fun(fun(nat,fun(X0,X0)),fun(nat,fun(nat,fun(X0,$o)))) > X0 ) ).

tff(func_def_2817,type,
    sK1910: fun(int,fun(int,$o)) > int ).

tff(func_def_2818,type,
    sK1911: fun(int,fun(int,$o)) > int ).

tff(func_def_2819,type,
    sK1912: 
      !>[X0: $tType] : ( ( X0 * X0 ) > nat ) ).

tff(func_def_2820,type,
    sK1913: ( num * num * num ) > num ).

tff(func_def_2821,type,
    sK1914: ( num * num * num ) > num ).

tff(func_def_2822,type,
    sK1915: num > num ).

tff(func_def_2823,type,
    sK1916: ( num * num * num ) > num ).

tff(func_def_2824,type,
    sK1917: ( num * num * num ) > num ).

tff(func_def_2825,type,
    sK1918: ( num * num * num ) > num ).

tff(func_def_2826,type,
    sK1919: ( num * num * num ) > num ).

tff(func_def_2827,type,
    sK1920: num > num ).

tff(func_def_2828,type,
    sK1921: ( num * num ) > num ).

tff(func_def_2829,type,
    sK1922: ( num * num ) > num ).

tff(func_def_2830,type,
    sK1923: ( num * num * num ) > num ).

tff(func_def_2831,type,
    sK1924: ( num * num * num ) > num ).

tff(func_def_2832,type,
    sK1925: ( num * num * num ) > num ).

tff(func_def_2833,type,
    sK1926: ( num * num * num ) > num ).

tff(func_def_2834,type,
    sK1927: ( num * num * num ) > num ).

tff(func_def_2835,type,
    sK1928: ( num * num * num ) > num ).

tff(func_def_2836,type,
    sK1929: ( num * num * num ) > num ).

tff(func_def_2837,type,
    sK1930: ( num * num * num ) > num ).

tff(func_def_2838,type,
    sK1931: ( num * num * num ) > num ).

tff(func_def_2839,type,
    sK1932: ( num * num * num ) > num ).

tff(func_def_2840,type,
    sK1933: ( num * num ) > num ).

tff(func_def_2841,type,
    sK1934: ( num * num ) > num ).

tff(func_def_2842,type,
    sK1935: ( num * num * num ) > num ).

tff(func_def_2843,type,
    sK1936: ( num * num * num ) > num ).

tff(func_def_2844,type,
    sK1937: 
      !>[X0: $tType] : ( ( set(X0) * fun(X0,$o) ) > X0 ) ).

tff(func_def_2845,type,
    sK1938: 
      !>[X0: $tType] : ( ( set(X0) * fun(X0,$o) * fun(X0,$o) ) > X0 ) ).

tff(func_def_2846,type,
    sK1939: rat > rat ).

tff(func_def_2847,type,
    sK1940: rat > rat ).

tff(func_def_2848,type,
    sK1941: 
      !>[X0: $tType] : ( ( set(X0) * fun(X0,nat) ) > X0 ) ).

tff(func_def_2849,type,
    sK1942: 
      !>[X0: $tType] : ( ( set(X0) * fun(X0,nat) ) > X0 ) ).

tff(func_def_2850,type,
    sK1943: 
      !>[X0: $tType] : ( set(X0) > list(X0) ) ).

tff(func_def_2851,type,
    sK1944: ( set(nat) * nat ) > nat ).

tff(func_def_2852,type,
    sK1945: set(nat) > nat ).

tff(func_def_2853,type,
    sK1946: fun(nat,nat) > nat ).

tff(func_def_2854,type,
    sK1947: ( set(nat) * nat ) > nat ).

tff(func_def_2855,type,
    sK1948: ( set(nat) * nat ) > nat ).

tff(func_def_2856,type,
    sK1949: set(nat) > nat ).

tff(func_def_2857,type,
    sK1950: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_2858,type,
    sK1951: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( set(X0) * set(X2) * fun(X2,X1) * fun(X2,X0) * fun(X0,X1) ) > X0 ) ).

tff(func_def_2859,type,
    sK1952: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_2860,type,
    sK1953: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,X1) ) > X0 ) ).

tff(func_def_2861,type,
    sK1954: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,X1) ) > X0 ) ).

tff(func_def_2862,type,
    sK1955: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,X0) * fun(X1,X0) ) > X1 ) ).

tff(func_def_2863,type,
    sK1956: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,fun(X0,$o)) * set(X1) * fun(X1,X0) * fun(X1,X0) ) > X1 ) ).

tff(func_def_2864,type,
    sK1957: 
      !>[X0: $tType] : ( fun(X0,fun(X0,$o)) > X0 ) ).

tff(func_def_2865,type,
    sK1958: 
      !>[X0: $tType] : ( fun(X0,fun(X0,$o)) > X0 ) ).

tff(func_def_2866,type,
    sK1959: 
      !>[X0: $tType] : ( fun(X0,fun(X0,$o)) > X0 ) ).

tff(func_def_2867,type,
    sK1960: 
      !>[X0: $tType] : ( fun(X0,fun(X0,$o)) > X0 ) ).

tff(func_def_2868,type,
    sK1961: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,fun(X0,$o)) * set(X1) * fun(X1,X0) * fun(X1,X0) ) > X1 ) ).

tff(func_def_2869,type,
    sK1962: 
      !>[X0: $tType] : ( fun(X0,fun(X0,$o)) > X0 ) ).

tff(func_def_2870,type,
    sK1963: 
      !>[X0: $tType] : ( fun(X0,fun(X0,$o)) > X0 ) ).

tff(func_def_2871,type,
    sK1964: 
      !>[X0: $tType] : ( fun(X0,fun(X0,$o)) > X0 ) ).

tff(func_def_2872,type,
    sK1965: 
      !>[X0: $tType] : ( fun(X0,fun(X0,$o)) > X0 ) ).

tff(func_def_2873,type,
    sK1966: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,X0) * fun(X1,X0) ) > X1 ) ).

tff(func_def_2874,type,
    sK1967: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * set(X0) * fun(X1,X0) * set(X1) * set(X1) ) > X1 ) ).

tff(func_def_2875,type,
    sK1968: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * fun(X0,X1) * set(X1) * set(X1) ) > X1 ) ).

tff(func_def_2876,type,
    sK1969: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * set(X0) * fun(X1,X0) * set(X1) * set(X1) ) > X1 ) ).

tff(func_def_2877,type,
    sK1970: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * fun(X0,X1) * set(X1) * set(X1) ) > X1 ) ).

tff(func_def_2878,type,
    sK1971: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( set(X0) * fun(X0,X2) * fun(X0,X1) * fun(X2,X1) ) > X0 ) ).

tff(func_def_2879,type,
    sK1972: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_2880,type,
    sK1973: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,X1) ) > X0 ) ).

tff(func_def_2881,type,
    sK1974: 
      !>[X0: $tType] : ( ( set(X0) * fun(X0,nat) * X0 ) > X0 ) ).

tff(func_def_2882,type,
    sK1975: 
      !>[X0: $tType] : ( ( set(X0) * fun(X0,nat) ) > X0 ) ).

tff(func_def_2883,type,
    sK1976: 
      !>[X0: $tType] : ( ( set(X0) * fun(X0,nat) * X0 ) > X0 ) ).

tff(func_def_2884,type,
    sK1977: 
      !>[X0: $tType] : ( ( set(X0) * fun(X0,nat) ) > X0 ) ).

tff(func_def_2885,type,
    sK1978: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,X1) ) > X0 ) ).

tff(func_def_2886,type,
    sK1979: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,X1) ) > X0 ) ).

tff(func_def_2887,type,
    sK1980: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_2888,type,
    sK1981: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_2889,type,
    sK1982: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_2890,type,
    sK1983: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_2891,type,
    sK1984: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_2892,type,
    sK1985: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_2893,type,
    sK1986: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_2894,type,
    sK1987: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_2895,type,
    sK1988: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,X0) * fun(X1,X0) ) > X1 ) ).

tff(func_def_2896,type,
    sK1989: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_2897,type,
    sK1990: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,X0) * fun(X1,X0) ) > X1 ) ).

tff(func_def_2898,type,
    sK1991: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_2899,type,
    sK1992: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_2900,type,
    sK1993: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_2901,type,
    sK1994: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_2902,type,
    sK1995: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_2903,type,
    sK1996: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_2904,type,
    sK1997: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_2905,type,
    sK1998: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,X0) * fun(X1,X0) ) > X1 ) ).

tff(func_def_2906,type,
    sK1999: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_2907,type,
    sK2000: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,X0) * fun(X1,X0) ) > X1 ) ).

tff(func_def_2908,type,
    sK2001: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_2909,type,
    sK2002: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_2910,type,
    sK2003: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( set(X0) * fun(X0,X2) * fun(X2,X1) ) > X0 ) ).

tff(func_def_2911,type,
    sK2004: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_2912,type,
    sK2005: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_2913,type,
    sK2006: 
      !>[X0: $tType] : ( ( fun(nat,X0) * set(nat) ) > nat ) ).

tff(func_def_2914,type,
    sK2007: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_2915,type,
    sK2008: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_2916,type,
    sK2009: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_2917,type,
    sK2010: 
      !>[X0: $tType] : ( ( set(X0) * fun(X0,real) ) > X0 ) ).

tff(func_def_2918,type,
    sK2011: 
      !>[X0: $tType] : ( ( fun(nat,X0) * nat ) > nat ) ).

tff(func_def_2919,type,
    sK2012: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,$o) * fun(X0,fun(X1,$o)) ) > X1 ) ).

tff(func_def_2920,type,
    sK2013: 
      !>[X0: $tType] : ( set(list(X0)) > nat ) ).

tff(func_def_2921,type,
    sK2014: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_2922,type,
    sK2015: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_2923,type,
    sK2016: 
      !>[X0: $tType] : ( fun(set(X0),$o) > set(X0) ) ).

tff(func_def_2924,type,
    sK2017: set(nat) > nat ).

tff(func_def_2925,type,
    sK2018: set(nat) > nat ).

tff(func_def_2926,type,
    sK2019: set(nat) > nat ).

tff(func_def_2927,type,
    sK2020: set(int) > int ).

tff(func_def_2928,type,
    sK2021: ( set(int) * int ) > int ).

tff(func_def_2929,type,
    sK2022: set(int) > int ).

tff(func_def_2930,type,
    sK2023: ( set(int) * int ) > int ).

tff(func_def_2931,type,
    sK2024: ( nat * set(nat) ) > nat ).

tff(func_def_2932,type,
    sK2025: set(nat) > nat ).

tff(func_def_2933,type,
    sK2026: ( set(nat) * nat ) > nat ).

tff(func_def_2934,type,
    sK2027: set(nat) > nat ).

tff(func_def_2935,type,
    sK2028: ( set(nat) * nat ) > nat ).

tff(func_def_2936,type,
    sK2029: ( fun(real,$o) * nat * real ) > real ).

tff(func_def_2937,type,
    sK2030: 
      !>[X0: $tType] : ( ( nat * set(X0) ) > X0 ) ).

tff(func_def_2938,type,
    sK2031: 
      !>[X0: $tType] : ( ( nat * set(X0) ) > set(X0) ) ).

tff(func_def_2939,type,
    sK2032: 
      !>[X0: $tType] : ( ( set(X0) * nat ) > X0 ) ).

tff(func_def_2940,type,
    sK2033: 
      !>[X0: $tType] : ( ( set(X0) * nat ) > set(X0) ) ).

tff(func_def_2941,type,
    sK2034: 
      !>[X0: $tType] : ( ( set(X0) * nat ) > set(X0) ) ).

tff(func_def_2942,type,
    sK2035: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,fun(X1,$o)) * set(X1) * set(X0) ) > X0 ) ).

tff(func_def_2943,type,
    sK2036: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,fun(X1,$o)) * set(X1) * set(X0) ) > X0 ) ).

tff(func_def_2944,type,
    sK2037: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,fun(X1,$o)) * set(X1) * set(X0) ) > X1 ) ).

tff(func_def_2945,type,
    sK2038: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * set(X0) * fun(X0,fun(X1,$o)) ) > X0 ) ).

tff(func_def_2946,type,
    sK2039: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * set(X1) ) > fun(X0,X1) ) ).

tff(func_def_2947,type,
    sK2040: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * set(X1) ) > fun(X0,X1) ) ).

tff(func_def_2948,type,
    sK2041: 
      !>[X0: $tType] : ( ( set(X0) * X0 * X0 ) > X0 ) ).

tff(func_def_2949,type,
    sK2042: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_2950,type,
    sK2043: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_2951,type,
    sK2044: 
      !>[X0: $tType] : ( ( nat * set(X0) ) > set(X0) ) ).

tff(func_def_2952,type,
    sK2045: 
      !>[X0: $tType] : ( ( set(X0) * nat ) > set(X0) ) ).

tff(func_def_2953,type,
    sK2046: 
      !>[X0: $tType] : ( set(X0) > fun(X0,nat) ) ).

tff(func_def_2954,type,
    sK2047: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,X1) * X1 ) > X0 ) ).

tff(func_def_2955,type,
    sK2048: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * X0 * fun(X1,X0) ) > X1 ) ).

tff(func_def_2956,type,
    sK2049: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_2957,type,
    sK2050: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_2958,type,
    sK2051: 
      !>[X0: $tType] : ( set(X0) > fun(nat,X0) ) ).

tff(func_def_2959,type,
    sK2052: 
      !>[X0: $tType] : ( set(X0) > fun(nat,X0) ) ).

tff(func_def_2960,type,
    sK2053: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,X0) * real ) > X1 ) ).

tff(func_def_2961,type,
    sK2054: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,X1) * X1 ) > X0 ) ).

tff(func_def_2962,type,
    sK2055: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,X1) * X1 ) > X0 ) ).

tff(func_def_2963,type,
    sK2056: 
      !>[X0: $tType] : ( set(X0) > list(X0) ) ).

tff(func_def_2964,type,
    sK2057: 
      !>[X0: $tType] : ( list(X0) > nat ) ).

tff(func_def_2965,type,
    sK2058: 
      !>[X0: $tType] : ( list(X0) > nat ) ).

tff(func_def_2966,type,
    sK2059: 
      !>[X0: $tType] : ( ( list(X0) * X0 ) > nat ) ).

tff(func_def_2967,type,
    sK2060: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_2968,type,
    sK2061: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_2969,type,
    sK2062: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_2970,type,
    sK2063: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_2971,type,
    sK2064: 
      !>[X0: $tType,X1: $tType] : ( ( fun(set(X1),$o) * fun(X1,X0) ) > X1 ) ).

tff(func_def_2972,type,
    sK2065: 
      !>[X0: $tType,X1: $tType] : ( ( fun(set(X1),$o) * fun(X1,X0) ) > set(X1) ) ).

tff(func_def_2973,type,
    sK2066: 
      !>[X0: $tType] : ( fun(set(X0),$o) > X0 ) ).

tff(func_def_2974,type,
    sK2067: 
      !>[X0: $tType] : ( fun(set(X0),$o) > set(X0) ) ).

tff(func_def_2975,type,
    sK2068: 
      !>[X0: $tType] : ( fun(set(X0),$o) > X0 ) ).

tff(func_def_2976,type,
    sK2069: 
      !>[X0: $tType] : ( fun(set(X0),$o) > set(X0) ) ).

tff(func_def_2977,type,
    sK2070: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,X0) * fun(X1,X0) ) > X1 ) ).

tff(func_def_2978,type,
    sK2071: 
      !>[X0: $tType] : ( ( set(X0) * fun(set(X0),$o) ) > X0 ) ).

tff(func_def_2979,type,
    sK2072: 
      !>[X0: $tType] : ( ( set(X0) * fun(set(X0),$o) ) > set(X0) ) ).

tff(func_def_2980,type,
    sK2073: 
      !>[X0: $tType] : ( ( set(X0) * fun(set(X0),$o) ) > X0 ) ).

tff(func_def_2981,type,
    sK2074: 
      !>[X0: $tType] : ( ( set(X0) * fun(set(X0),$o) ) > set(X0) ) ).

tff(func_def_2982,type,
    sK2075: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_2983,type,
    sK2076: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_2984,type,
    sK2077: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_2985,type,
    sK2078: 
      !>[X0: $tType] : ( ( set(X0) * fun(set(X0),$o) ) > set(X0) ) ).

tff(func_def_2986,type,
    sK2079: 
      !>[X0: $tType] : ( ( fun(set(X0),$o) * set(X0) ) > set(X0) ) ).

tff(func_def_2987,type,
    sK2080: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_2988,type,
    sK2081: 
      !>[X0: $tType] : ( ( set(X0) * nat ) > X0 ) ).

tff(func_def_2989,type,
    sK2082: 
      !>[X0: $tType] : ( ( set(X0) * nat ) > set(X0) ) ).

tff(func_def_2990,type,
    sK2083: 
      !>[X0: $tType] : ( ( set(X0) * nat ) > X0 ) ).

tff(func_def_2991,type,
    sK2084: 
      !>[X0: $tType] : ( ( set(X0) * nat ) > set(X0) ) ).

tff(func_def_2992,type,
    sK2085: 
      !>[X0: $tType] : ( ( set(X0) * fun(set(X0),$o) ) > set(X0) ) ).

tff(func_def_2993,type,
    sK2086: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,X0) * fun(X1,X0) ) > X1 ) ).

tff(func_def_2994,type,
    sK2087: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_2995,type,
    sK2088: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_2996,type,
    sK2089: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_2997,type,
    sK2090: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_2998,type,
    sK2091: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_2999,type,
    sK2092: 
      !>[X0: $tType,X1: $tType] : ( ( X1 * set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_3000,type,
    sK2093: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,X1) * X1 ) > X0 ) ).

tff(func_def_3001,type,
    sK2094: fun(int,fun(int,$o)) > int ).

tff(func_def_3002,type,
    sK2095: fun(int,fun(int,$o)) > int ).

tff(func_def_3003,type,
    sK2096: ( int * int * int ) > int ).

tff(func_def_3004,type,
    sK2097: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,X0) * fun(X1,X0) ) > X1 ) ).

tff(func_def_3005,type,
    sK2098: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_3006,type,
    sK2099: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,X0) * fun(X1,X0) ) > X1 ) ).

tff(func_def_3007,type,
    sK2100: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_3008,type,
    sK2101: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_3009,type,
    sK2102: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_3010,type,
    sK2103: ( nat * nat ) > nat ).

tff(func_def_3011,type,
    sK2104: ( nat * nat ) > nat ).

tff(func_def_3012,type,
    sK2105: ( nat * nat ) > nat ).

tff(func_def_3013,type,
    sK2106: ( nat * nat ) > nat ).

tff(func_def_3014,type,
    sK2107: ( nat * fun(nat,$o) ) > nat ).

tff(func_def_3015,type,
    sK2108: ( nat * fun(nat,$o) ) > nat ).

tff(func_def_3016,type,
    sK2109: set(nat) > fun(nat,nat) ).

tff(func_def_3017,type,
    sK2110: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * set(X1) ) > X1 ) ).

tff(func_def_3018,type,
    sK2111: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * set(X1) ) > X1 ) ).

tff(func_def_3019,type,
    sK2112: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_3020,type,
    sK2113: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_3021,type,
    sK2114: 
      !>[X0: $tType] : ( ( fun(nat,fun(X0,$o)) * fun(nat,fun(X0,fun(X0,$o))) ) > fun(nat,X0) ) ).

tff(func_def_3022,type,
    sK2115: 
      !>[X0: $tType] : ( ( fun(nat,fun(X0,$o)) * fun(nat,fun(X0,fun(X0,$o))) ) > X0 ) ).

tff(func_def_3023,type,
    sK2116: 
      !>[X0: $tType] : ( ( fun(nat,fun(X0,$o)) * fun(nat,fun(X0,fun(X0,$o))) ) > nat ) ).

tff(func_def_3024,type,
    sK2117: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * real ) > X1 ) ).

tff(func_def_3025,type,
    sK2118: 
      !>[X0: $tType,X1: $tType] : ( fun(X1,X0) > real ) ).

tff(func_def_3026,type,
    sK2119: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * real ) > X1 ) ).

tff(func_def_3027,type,
    sK2120: 
      !>[X0: $tType] : ( ( nat * fun(X0,fun(X0,$o)) * fun(nat,X0) ) > nat ) ).

tff(func_def_3028,type,
    sK2121: 
      !>[X0: $tType] : ( ( nat * fun(X0,fun(X0,$o)) * X0 * X0 ) > fun(nat,X0) ) ).

tff(func_def_3029,type,
    sK2122: 
      !>[X0: $tType] : ( ( nat * fun(X0,fun(X0,$o)) * X0 * X0 ) > X0 ) ).

tff(func_def_3030,type,
    sK2123: 
      !>[X0: $tType] : ( ( nat * fun(X0,fun(X0,$o)) * X0 * X0 ) > X0 ) ).

tff(func_def_3031,type,
    sK2124: 
      !>[X0: $tType] : ( ( nat * fun(X0,fun(X0,$o)) * X0 * X0 ) > X0 ) ).

tff(func_def_3032,type,
    sK2125: 
      !>[X0: $tType] : ( ( nat * fun(X0,fun(X0,$o)) * X0 * X0 ) > X0 ) ).

tff(func_def_3033,type,
    sK2126: 
      !>[X0: $tType] : ( ( nat * fun(X0,fun(X0,$o)) * X0 * X0 ) > nat ) ).

tff(func_def_3034,type,
    sK2127: 
      !>[X0: $tType] : ( ( nat * fun(X0,fun(X0,$o)) * X0 * X0 ) > X0 ) ).

tff(func_def_3035,type,
    sK2128: 
      !>[X0: $tType] : ( ( nat * fun(X0,fun(X0,$o)) * X0 * X0 ) > nat ) ).

tff(func_def_3036,type,
    sK2129: 
      !>[X0: $tType] : ( set(set(X0)) > set(X0) ) ).

tff(func_def_3037,type,
    sK2130: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_3038,type,
    sK2131: 
      !>[X0: $tType] : ( set(set(X0)) > set(X0) ) ).

tff(func_def_3039,type,
    sK2132: 
      !>[X0: $tType] : ( ( set(X0) * X0 * X0 ) > X0 ) ).

tff(func_def_3040,type,
    sK2133: 
      !>[X0: $tType] : ( ( set(X0) * X0 * X0 ) > X0 ) ).

tff(func_def_3041,type,
    sK2134: 
      !>[X0: $tType] : ( ( set(X0) * set(set(X0)) ) > set(set(X0)) ) ).

tff(func_def_3042,type,
    sK2135: 
      !>[X0: $tType] : ( X0 > X0 ) ).

tff(func_def_3043,type,
    sK2136: 
      !>[X0: $tType] : ( ( X0 * X0 * fun(X0,$o) ) > X0 ) ).

tff(func_def_3044,type,
    sK2137: 
      !>[X0: $tType] : ( ( X0 * fun(X0,$o) * X0 ) > X0 ) ).

tff(func_def_3045,type,
    sK2138: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_3046,type,
    sK2139: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_3047,type,
    sK2140: 
      !>[X0: $tType] : ( ( X0 * set(X0) ) > X0 ) ).

tff(func_def_3048,type,
    sK2141: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_3049,type,
    sK2142: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_3050,type,
    sK2143: 
      !>[X0: $tType] : ( ( X0 * set(X0) ) > X0 ) ).

tff(func_def_3051,type,
    sK2144: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_3052,type,
    sK2145: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_3053,type,
    sK2146: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_3054,type,
    sK2147: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_3055,type,
    sK2148: 
      !>[X0: $tType] : ( ( X0 * set(X0) ) > X0 ) ).

tff(func_def_3056,type,
    sK2149: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_3057,type,
    sK2150: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_3058,type,
    sK2151: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_3059,type,
    sK2152: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_3060,type,
    sK2153: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_3061,type,
    sK2154: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_3062,type,
    sK2155: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_3063,type,
    sK2156: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_3064,type,
    sK2157: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_3065,type,
    sK2158: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_3066,type,
    sK2159: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_3067,type,
    sK2160: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_3068,type,
    sK2161: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_3069,type,
    sK2162: 
      !>[X0: $tType] : ( ( set(X0) * set(X0) ) > X0 ) ).

tff(func_def_3070,type,
    sK2163: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_3071,type,
    sK2164: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_3072,type,
    sK2165: 
      !>[X0: $tType] : ( ( X0 * set(X0) ) > X0 ) ).

tff(func_def_3073,type,
    sK2166: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_3074,type,
    sK2167: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_3075,type,
    sK2168: 
      !>[X0: $tType] : ( ( set(X0) * set(X0) ) > X0 ) ).

tff(func_def_3076,type,
    sK2169: 
      !>[X0: $tType] : ( ( X0 * set(X0) ) > X0 ) ).

tff(func_def_3077,type,
    sK2170: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_3078,type,
    sK2171: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_3079,type,
    sK2172: 
      !>[X0: $tType] : ( ( set(set(X0)) * set(X0) ) > set(X0) ) ).

tff(func_def_3080,type,
    sK2173: 
      !>[X0: $tType] : ( ( set(set(X0)) * set(set(X0)) ) > set(X0) ) ).

tff(func_def_3081,type,
    sK2174: 
      !>[X0: $tType] : ( ( set(set(X0)) * set(X0) ) > set(X0) ) ).

tff(func_def_3082,type,
    sK2175: 
      !>[X0: $tType] : ( ( X0 * set(X0) ) > X0 ) ).

tff(func_def_3083,type,
    sK2176: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_3084,type,
    sK2177: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_3085,type,
    sK2178: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_3086,type,
    sK2179: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_3087,type,
    sK2180: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_3088,type,
    sK2181: 
      !>[X0: $tType] : ( ( set(set(X0)) * set(X0) ) > set(X0) ) ).

tff(func_def_3089,type,
    sK2182: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_3090,type,
    sK2183: ( vEBT_VEBT * nat ) > option(product_prod(nat,nat)) ).

tff(func_def_3091,type,
    sK2184: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_3092,type,
    sK2185: ( vEBT_VEBT * nat ) > list(vEBT_VEBT) ).

tff(func_def_3093,type,
    sK2186: ( vEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_3094,type,
    sK2187: ( vEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_3095,type,
    sK2188: vEBT_VEBT > $o ).

tff(func_def_3096,type,
    sK2189: vEBT_VEBT > $o ).

tff(func_def_3097,type,
    sK2190: ( nat * vEBT_VEBT ) > option(product_prod(nat,nat)) ).

tff(func_def_3098,type,
    sK2191: ( nat * vEBT_VEBT ) > nat ).

tff(func_def_3099,type,
    sK2192: ( nat * vEBT_VEBT ) > list(vEBT_VEBT) ).

tff(func_def_3100,type,
    sK2193: ( nat * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_3101,type,
    sK2194: vEBT_VEBT > $o ).

tff(func_def_3102,type,
    sK2195: vEBT_VEBT > $o ).

tff(func_def_3103,type,
    sK2196: ( nat * $o * vEBT_VEBT ) > option(product_prod(nat,nat)) ).

tff(func_def_3104,type,
    sK2197: ( nat * $o * vEBT_VEBT ) > nat ).

tff(func_def_3105,type,
    sK2198: ( nat * $o * vEBT_VEBT ) > list(vEBT_VEBT) ).

tff(func_def_3106,type,
    sK2199: ( nat * $o * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_3107,type,
    sK2200: ( nat * $o * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_3108,type,
    sK2201: vEBT_VEBT > $o ).

tff(func_def_3109,type,
    sK2202: vEBT_VEBT > $o ).

tff(func_def_3110,type,
    sK2203: 
      !>[X0: $tType] : ( ( fun(X0,$o) * option(X0) ) > X0 ) ).

tff(func_def_3111,type,
    sK2204: ( nat * list(vEBT_VEBT) ) > vEBT_VEBT ).

tff(func_def_3112,type,
    sK2205: ( nat * $o * vEBT_VEBT ) > $o ).

tff(func_def_3113,type,
    sK2206: ( nat * $o * vEBT_VEBT ) > $o ).

tff(func_def_3114,type,
    sK2207: ( nat * list(vEBT_VEBT) ) > vEBT_VEBT ).

tff(func_def_3115,type,
    sK2208: ( vEBT_VEBT * nat * $o ) > option(product_prod(nat,nat)) ).

tff(func_def_3116,type,
    sK2209: ( vEBT_VEBT * nat * $o ) > nat ).

tff(func_def_3117,type,
    sK2210: ( vEBT_VEBT * nat * $o ) > list(vEBT_VEBT) ).

tff(func_def_3118,type,
    sK2211: ( vEBT_VEBT * nat * $o ) > vEBT_VEBT ).

tff(func_def_3119,type,
    sK2212: ( nat * vEBT_VEBT ) > option(product_prod(nat,nat)) ).

tff(func_def_3120,type,
    sK2213: ( nat * vEBT_VEBT ) > nat ).

tff(func_def_3121,type,
    sK2214: ( nat * vEBT_VEBT ) > list(vEBT_VEBT) ).

tff(func_def_3122,type,
    sK2215: ( nat * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_3123,type,
    sK2216: ( vEBT_VEBT * nat ) > $o ).

tff(func_def_3124,type,
    sK2217: ( vEBT_VEBT * nat ) > $o ).

tff(func_def_3125,type,
    sK2218: ( nat * vEBT_VEBT ) > option(product_prod(nat,nat)) ).

tff(func_def_3126,type,
    sK2219: ( nat * vEBT_VEBT ) > nat ).

tff(func_def_3127,type,
    sK2220: ( nat * vEBT_VEBT ) > list(vEBT_VEBT) ).

tff(func_def_3128,type,
    sK2221: ( nat * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_3129,type,
    sK2222: ( nat * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_3130,type,
    sK2223: ( vEBT_VEBT * nat ) > $o ).

tff(func_def_3131,type,
    sK2224: ( vEBT_VEBT * nat ) > $o ).

tff(func_def_3132,type,
    sK2225: ( fun(nat,$o) * nat ) > nat ).

tff(func_def_3133,type,
    sK2226: ( fun(nat,$o) * nat ) > nat ).

tff(func_def_3134,type,
    sK2227: ( fun(nat,$o) * nat ) > nat ).

tff(func_def_3135,type,
    sK2228: 
      !>[X0: $tType] : ( ( fun(X0,$o) * X0 ) > X0 ) ).

tff(func_def_3136,type,
    sK2229: 
      !>[X0: $tType] : ( ( fun(X0,$o) * fun(X0,$o) ) > X0 ) ).

tff(func_def_3137,type,
    sK2230: 
      !>[X0: $tType] : ( ( fun(X0,$o) * X0 ) > X0 ) ).

tff(func_def_3138,type,
    sK2231: 
      !>[X0: $tType] : ( ( set(X0) * fun(X0,$o) ) > X0 ) ).

tff(func_def_3139,type,
    sK2232: 
      !>[X0: $tType] : ( fun(X0,fun(X0,$o)) > X0 ) ).

tff(func_def_3140,type,
    sK2233: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_3141,type,
    sK2234: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_3142,type,
    sK2235: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,X0) * fun(X1,X0) ) > X1 ) ).

tff(func_def_3143,type,
    sK2236: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_3144,type,
    sK2237: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,X0) * fun(X1,X0) ) > X1 ) ).

tff(func_def_3145,type,
    sK2238: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_3146,type,
    sK2239: ( option(num) * num * num ) > num ).

tff(func_def_3147,type,
    sK2240: ( option(num) * num * num ) > num ).

tff(func_def_3148,type,
    sK2241: ( option(num) * num * num ) > num ).

tff(func_def_3149,type,
    sK2242: ( option(num) * num * num ) > num ).

tff(func_def_3150,type,
    sK2243: ( option(num) * num * num ) > num ).

tff(func_def_3151,type,
    sK2244: ( option(num) * num * num ) > num ).

tff(func_def_3152,type,
    sK2245: ( option(num) * num * num ) > num ).

tff(func_def_3153,type,
    sK2246: ( option(num) * num * num ) > num ).

tff(func_def_3154,type,
    sK2247: num > num ).

tff(func_def_3155,type,
    sK2248: num > num ).

tff(func_def_3156,type,
    sK2249: ( num * num * option(num) ) > num ).

tff(func_def_3157,type,
    sK2250: ( num * num * option(num) ) > num ).

tff(func_def_3158,type,
    sK2251: ( option(num) * num * num ) > num ).

tff(func_def_3159,type,
    sK2252: ( option(num) * num * num ) > num ).

tff(func_def_3160,type,
    sK2253: ( option(num) * num * num ) > num ).

tff(func_def_3161,type,
    sK2254: ( option(num) * num * num ) > num ).

tff(func_def_3162,type,
    sK2255: ( option(num) * num * num ) > num ).

tff(func_def_3163,type,
    sK2256: ( option(num) * num * num ) > num ).

tff(func_def_3164,type,
    sK2257: ( option(num) * num * num ) > num ).

tff(func_def_3165,type,
    sK2258: ( option(num) * num * num ) > num ).

tff(func_def_3166,type,
    sK2259: ( option(num) * num ) > num ).

tff(func_def_3167,type,
    sK2260: ( option(num) * num ) > num ).

tff(func_def_3168,type,
    sK2261: ( num * num * option(num) ) > num ).

tff(func_def_3169,type,
    sK2262: ( num * num * option(num) ) > num ).

tff(func_def_3170,type,
    sK2263: ( option(num) * num * num ) > num ).

tff(func_def_3171,type,
    sK2264: ( option(num) * num * num ) > num ).

tff(func_def_3172,type,
    sK2265: num > num ).

tff(func_def_3173,type,
    sK2266: ( option(num) * num * num ) > num ).

tff(func_def_3174,type,
    sK2267: ( option(num) * num * num ) > num ).

tff(func_def_3175,type,
    sK2268: ( option(num) * num * num ) > num ).

tff(func_def_3176,type,
    sK2269: ( option(num) * num * num ) > num ).

tff(func_def_3177,type,
    sK2270: num > num ).

tff(func_def_3178,type,
    sK2271: num > num ).

tff(func_def_3179,type,
    sK2272: num > num ).

tff(func_def_3180,type,
    sK2273: ( num * num * option(num) ) > num ).

tff(func_def_3181,type,
    sK2274: ( num * num * option(num) ) > num ).

tff(func_def_3182,type,
    sK2275: ( option(num) * num * num ) > num ).

tff(func_def_3183,type,
    sK2276: ( option(num) * num * num ) > num ).

tff(func_def_3184,type,
    sK2277: ( option(num) * num * num ) > num ).

tff(func_def_3185,type,
    sK2278: ( option(num) * num * num ) > num ).

tff(func_def_3186,type,
    sK2279: ( option(num) * num * num ) > num ).

tff(func_def_3187,type,
    sK2280: ( option(num) * num * num ) > num ).

tff(func_def_3188,type,
    sK2281: ( option(num) * num * num ) > num ).

tff(func_def_3189,type,
    sK2282: ( option(num) * num * num ) > num ).

tff(func_def_3190,type,
    sK2283: ( option(num) * num ) > num ).

tff(func_def_3191,type,
    sK2284: ( option(num) * num ) > num ).

tff(func_def_3192,type,
    sK2285: ( num * num * option(num) ) > num ).

tff(func_def_3193,type,
    sK2286: ( num * num * option(num) ) > num ).

tff(func_def_3194,type,
    sK2287: ( option(num) * num * num ) > num ).

tff(func_def_3195,type,
    sK2288: ( option(num) * num * num ) > num ).

tff(func_def_3196,type,
    sK2289: ( option(num) * num * num ) > num ).

tff(func_def_3197,type,
    sK2290: ( option(num) * num * num ) > num ).

tff(func_def_3198,type,
    sK2291: ( option(num) * num * num ) > num ).

tff(func_def_3199,type,
    sK2292: ( option(num) * num * num ) > num ).

tff(func_def_3200,type,
    sK2293: ( option(num) * num * num ) > num ).

tff(func_def_3201,type,
    sK2294: ( option(num) * num * num ) > num ).

tff(func_def_3202,type,
    sK2295: ( option(num) * num ) > num ).

tff(func_def_3203,type,
    sK2296: ( option(num) * num ) > num ).

tff(func_def_3204,type,
    sK2297: ( num * num * option(num) ) > num ).

tff(func_def_3205,type,
    sK2298: ( num * num * option(num) ) > num ).

tff(func_def_3206,type,
    sK2299: ( option(num) * num * num ) > num ).

tff(func_def_3207,type,
    sK2300: ( option(num) * num * num ) > num ).

tff(func_def_3208,type,
    sK2301: ( option(num) * num * num ) > num ).

tff(func_def_3209,type,
    sK2302: ( option(num) * num * num ) > num ).

tff(func_def_3210,type,
    sK2303: ( option(num) * num * num ) > num ).

tff(func_def_3211,type,
    sK2304: ( option(num) * num * num ) > num ).

tff(func_def_3212,type,
    sK2305: ( option(num) * num * num ) > num ).

tff(func_def_3213,type,
    sK2306: ( option(num) * num * num ) > num ).

tff(func_def_3214,type,
    sK2307: ( option(num) * num ) > num ).

tff(func_def_3215,type,
    sK2308: ( option(num) * num ) > num ).

tff(func_def_3216,type,
    sK2309: ( num * num * option(num) ) > num ).

tff(func_def_3217,type,
    sK2310: ( num * num * option(num) ) > num ).

tff(func_def_3218,type,
    sK2311: 
      !>[X0: $tType] : ( list(list(X0)) > list(X0) ) ).

tff(func_def_3219,type,
    sK2312: 
      !>[X0: $tType] : ( ( list(X0) * set(nat) ) > nat ) ).

tff(func_def_3220,type,
    sK2313: 
      !>[X0: $tType] : ( list(list(X0)) > list(X0) ) ).

tff(func_def_3221,type,
    sK2314: 
      !>[X0: $tType] : ( list(list(X0)) > list(X0) ) ).

tff(func_def_3222,type,
    sK2315: 
      !>[X0: $tType] : ( list(list(X0)) > list(X0) ) ).

tff(func_def_3223,type,
    sK2316: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * set(X0) ) > X1 ) ).

tff(func_def_3224,type,
    sK2317: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * set(X0) * X1 ) > X0 ) ).

tff(func_def_3225,type,
    sK2318: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( set(X0) * set(X2) * fun(X0,X1) * fun(X2,X1) ) > X2 ) ).

tff(func_def_3226,type,
    sK2319: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( set(X0) * set(X2) * fun(X0,X1) * fun(X2,X1) ) > X0 ) ).

tff(func_def_3227,type,
    sK2320: ( real * real ) > real ).

tff(func_def_3228,type,
    sK2321: real > real ).

tff(func_def_3229,type,
    sK2322: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * set(X1) * fun(set(X0),$o) ) > set(X1) ) ).

tff(func_def_3230,type,
    sK2323: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * set(X1) * fun(set(X0),$o) ) > set(X0) ) ).

tff(func_def_3231,type,
    sK2324: 
      !>[X0: $tType] : ( ( set(X0) * fun(X0,$o) * fun(X0,$o) ) > X0 ) ).

tff(func_def_3232,type,
    sK2325: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,X1) * set(X1) ) > X0 ) ).

tff(func_def_3233,type,
    sK2326: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X1,X0) * set(X1) ) > set(X1) ) ).

tff(func_def_3234,type,
    sK2327: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * set(X0) * set(X1) ) > X0 ) ).

tff(func_def_3235,type,
    sK2328: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X1,X0) * set(X1) ) > set(X1) ) ).

tff(func_def_3236,type,
    sK2329: real > real ).

tff(func_def_3237,type,
    sK2330: 
      !>[X0: $tType] : ( fun(X0,fun(X0,X0)) > X0 ) ).

tff(func_def_3238,type,
    sK2331: 
      !>[X0: $tType] : ( fun(X0,fun(X0,X0)) > X0 ) ).

tff(func_def_3239,type,
    sK2332: 
      !>[X0: $tType] : ( fun(X0,fun(X0,X0)) > X0 ) ).

tff(func_def_3240,type,
    sK2333: 
      !>[X0: $tType] : ( fun(X0,fun(X0,X0)) > X0 ) ).

tff(func_def_3241,type,
    sK2334: 
      !>[X0: $tType] : ( fun(X0,fun(X0,X0)) > X0 ) ).

tff(func_def_3242,type,
    sK2335: 
      !>[X0: $tType] : ( fun(X0,fun(X0,X0)) > X0 ) ).

tff(func_def_3243,type,
    sK2336: 
      !>[X0: $tType] : ( fun(X0,fun(X0,X0)) > X0 ) ).

tff(func_def_3244,type,
    sK2337: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,$o) * fun(X0,X1) * set(X1) ) > X0 ) ).

tff(func_def_3245,type,
    sK2338: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( set(X0) * set(X2) * fun(X2,X1) * fun(X0,X1) ) > X2 ) ).

tff(func_def_3246,type,
    sK2339: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( set(X0) * set(X2) * fun(X2,X1) * fun(X0,X1) ) > X0 ) ).

tff(func_def_3247,type,
    sK2340: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * set(X1) * fun(set(X0),$o) ) > set(X1) ) ).

tff(func_def_3248,type,
    sK2341: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * set(X1) * fun(set(X0),$o) ) > set(X0) ) ).

tff(func_def_3249,type,
    sK2342: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * set(X1) * fun(set(X0),$o) ) > set(X0) ) ).

tff(func_def_3250,type,
    sK2343: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * set(X1) * fun(set(X0),$o) ) > set(X1) ) ).

tff(func_def_3251,type,
    sK2344: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X1,X0) * set(X1) ) > set(X1) ) ).

tff(func_def_3252,type,
    sK2345: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * fun(X0,X1) * set(X1) ) > X1 ) ).

tff(func_def_3253,type,
    sK2346: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X1,X0) * fun(X0,X1) ) > X0 ) ).

tff(func_def_3254,type,
    sK2347: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * set(X0) * X1 ) > X0 ) ).

tff(func_def_3255,type,
    sK2348: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * fun(X1,X0) ) > X1 ) ).

tff(func_def_3256,type,
    sK2349: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,X1) * X1 ) > X0 ) ).

tff(func_def_3257,type,
    sK2350: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( set(X0) * set(X2) * fun(X0,X1) * fun(X2,X1) ) > X0 ) ).

tff(func_def_3258,type,
    sK2351: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,X1) * X1 ) > X1 ) ).

tff(func_def_3259,type,
    sK2352: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,X1) * X1 ) > X0 ) ).

tff(func_def_3260,type,
    sK2353: 
      !>[X0: $tType,X1: $tType] : ( ( X0 * fun(X1,X0) * set(X1) ) > X1 ) ).

tff(func_def_3261,type,
    sK2354: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * X0 * fun(X1,X0) ) > X1 ) ).

tff(func_def_3262,type,
    sK2355: 
      !>[X0: $tType,X1: $tType] : ( ( X0 * fun(X1,X0) * set(X1) ) > X1 ) ).

tff(func_def_3263,type,
    sK2356: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * fun(X1,X0) ) > X1 ) ).

tff(func_def_3264,type,
    sK2357: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( set(X2) * set(X0) * fun(X0,X1) * fun(X2,X1) ) > X2 ) ).

tff(func_def_3265,type,
    sK2358: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * X1 * fun(X0,X1) ) > X1 ) ).

tff(func_def_3266,type,
    sK2359: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * X1 * fun(X0,X1) ) > X0 ) ).

tff(func_def_3267,type,
    sK2360: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * set(X0) * X1 ) > X0 ) ).

tff(func_def_3268,type,
    sK2361: 
      !>[X0: $tType] : ( set(X0) > nat ) ).

tff(func_def_3269,type,
    sK2362: 
      !>[X0: $tType] : ( set(X0) > fun(nat,X0) ) ).

tff(func_def_3270,type,
    sK2363: 
      !>[X0: $tType,X1: $tType] : ( ( X0 * fun(X1,X0) * set(X1) ) > X0 ) ).

tff(func_def_3271,type,
    sK2364: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * set(X1) * X0 ) > X1 ) ).

tff(func_def_3272,type,
    sK2365: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * set(X0) * X1 ) > X1 ) ).

tff(func_def_3273,type,
    sK2366: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * set(X0) * X1 ) > X0 ) ).

tff(func_def_3274,type,
    sK2367: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,X1) * X1 ) > X0 ) ).

tff(func_def_3275,type,
    sK2368: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * X1 * fun(X0,X1) ) > X0 ) ).

tff(func_def_3276,type,
    sK2369: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * X1 * fun(X0,X1) ) > X0 ) ).

tff(func_def_3277,type,
    sK2370: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * X0 * fun(X1,X0) ) > X1 ) ).

tff(func_def_3278,type,
    sK2371: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,X1) * X1 ) > X0 ) ).

tff(func_def_3279,type,
    sK2372: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,X1) * X1 ) > X0 ) ).

tff(func_def_3280,type,
    sK2373: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,X0) * fun(X1,X0) ) > X1 ) ).

tff(func_def_3281,type,
    sK2374: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,X0) * fun(X1,X0) ) > X1 ) ).

tff(func_def_3282,type,
    sK2375: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * set(X1) * fun(X1,X0) * fun(X1,X0) ) > X1 ) ).

tff(func_def_3283,type,
    sK2376: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_3284,type,
    sK2377: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_3285,type,
    sK2378: 
      !>[X0: $tType] : ( list(list(X0)) > list(X0) ) ).

tff(func_def_3286,type,
    sK2379: 
      !>[X0: $tType] : ( list(list(X0)) > list(X0) ) ).

tff(func_def_3287,type,
    sK2380: 
      !>[X0: $tType] : ( list(list(X0)) > list(X0) ) ).

tff(func_def_3288,type,
    sK2381: 
      !>[X0: $tType] : ( list(list(X0)) > list(X0) ) ).

tff(func_def_3289,type,
    sK2382: 
      !>[X0: $tType] : ( list(list(X0)) > list(X0) ) ).

tff(func_def_3290,type,
    sK2383: set(int) > int ).

tff(func_def_3291,type,
    sK2384: set(int) > int ).

tff(func_def_3292,type,
    sK2385: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,set(X0)) * fun(X1,set(X0)) ) > X1 ) ).

tff(func_def_3293,type,
    sK2386: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,set(X1)) * set(X1) ) > X0 ) ).

tff(func_def_3294,type,
    sK2387: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,set(X1)) * set(X0) * set(X1) ) > X0 ) ).

tff(func_def_3295,type,
    sK2388: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * set(X0) * fun(X1,set(X0)) ) > X1 ) ).

tff(func_def_3296,type,
    sK2389: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,set(X0)) * fun(X1,set(X0)) ) > X1 ) ).

tff(func_def_3297,type,
    sK2390: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X1,set(X0)) * set(X1) ) > X1 ) ).

tff(func_def_3298,type,
    sK2391: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( set(X2) * fun(X2,set(X0)) * fun(X0,X1) * fun(X2,set(X1)) ) > X2 ) ).

tff(func_def_3299,type,
    sK2392: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,set(X0)) ) > X1 ) ).

tff(func_def_3300,type,
    sK2393: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,set(X0)) ) > X1 ) ).

tff(func_def_3301,type,
    sK2394: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * set(X0) * fun(X1,fun(X0,$o)) * fun(X1,fun(X0,$o)) ) > X1 ) ).

tff(func_def_3302,type,
    sK2395: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * set(X0) * fun(X1,fun(X0,$o)) * fun(X1,fun(X0,$o)) ) > X0 ) ).

tff(func_def_3303,type,
    sK2396: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,filter(X1)) ) > set(X0) ) ).

tff(func_def_3304,type,
    sK2397: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,filter(X1)) ) > X0 ) ).

tff(func_def_3305,type,
    sK2398: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,filter(X1)) ) > X0 ) ).

tff(func_def_3306,type,
    sK2399: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,filter(X1)) ) > X0 ) ).

tff(func_def_3307,type,
    sK2400: 
      !>[X0: $tType] : ( set(filter(X0)) > set(filter(X0)) ) ).

tff(func_def_3308,type,
    sK2401: fun(nat,real) > nat ).

tff(func_def_3309,type,
    sK2402: 
      !>[X0: $tType] : ( ( fun(nat,set(X0)) * nat ) > nat ) ).

tff(func_def_3310,type,
    sK2403: 
      !>[X0: $tType] : ( ( fun(nat,set(X0)) * nat ) > nat ) ).

tff(func_def_3311,type,
    sK2404: 
      !>[X0: $tType] : ( ( fun(nat,set(X0)) * nat ) > nat ) ).

tff(func_def_3312,type,
    sK2405: 
      !>[X0: $tType] : ( ( fun(nat,set(X0)) * set(X0) ) > nat ) ).

tff(func_def_3313,type,
    sK2406: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_3314,type,
    sK2407: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_3315,type,
    sK2408: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * set(X1) ) > X0 ) ).

tff(func_def_3316,type,
    sK2409: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * set(X1) * X0 ) > X1 ) ).

tff(func_def_3317,type,
    sK2410: 
      !>[X0: $tType] : ( ( fun(nat,set(X0)) * set(X0) ) > nat ) ).

tff(func_def_3318,type,
    sK2411: 
      !>[X0: $tType] : ( ( fun(nat,set(X0)) * fun(nat,set(X0)) * nat ) > nat ) ).

tff(func_def_3319,type,
    sK2412: 
      !>[X0: $tType] : ( ( fun(nat,set(X0)) * fun(nat,set(X0)) * nat ) > nat ) ).

tff(func_def_3320,type,
    sK2413: ( fun(real,real) * fun(real,real) * real * real ) > real ).

tff(func_def_3321,type,
    sK2414: ( real * real * fun(real,real) * fun(real,real) ) > real ).

tff(func_def_3322,type,
    sK2415: ( real * real * fun(real,real) ) > real ).

tff(func_def_3323,type,
    sK2416: ( real * real * fun(real,real) ) > real ).

tff(func_def_3324,type,
    sK2417: ( real * real * fun(real,real) ) > real ).

tff(func_def_3325,type,
    sK2418: ( real * real * fun(real,real) ) > real ).

tff(func_def_3326,type,
    sK2419: ( real * real * fun(real,real) ) > real ).

tff(func_def_3327,type,
    sK2420: ( real * real * fun(real,real) * fun(real,real) ) > real ).

tff(func_def_3328,type,
    sK2421: ( real * real * fun(real,real) ) > real ).

tff(func_def_3329,type,
    sK2422: ( fun(real,real) * real * real ) > real ).

tff(func_def_3330,type,
    sK2423: ( fun(real,real) * real ) > real ).

tff(func_def_3331,type,
    sK2424: ( fun(real,real) * real ) > real ).

tff(func_def_3332,type,
    sK2425: ( fun(real,real) * real ) > real ).

tff(func_def_3333,type,
    sK2426: ( fun(real,real) * real ) > real ).

tff(func_def_3334,type,
    sK2427: ( fun(real,real) * real * set(real) ) > real ).

tff(func_def_3335,type,
    sK2428: ( fun(real,real) * real * set(real) ) > real ).

tff(func_def_3336,type,
    sK2429: ( fun(real,real) * real * set(real) ) > real ).

tff(func_def_3337,type,
    sK2430: ( fun(real,real) * real * set(real) ) > real ).

tff(func_def_3338,type,
    sK2431: ( fun(real,real) * real ) > real ).

tff(func_def_3339,type,
    sK2432: ( fun(real,real) * real * real ) > real ).

tff(func_def_3340,type,
    sK2433: ( fun(real,real) * real * real ) > real ).

tff(func_def_3341,type,
    sK2434: 
      !>[X0: $tType] : ( fun(nat,X0) > X0 ) ).

tff(func_def_3342,type,
    sK2435: 
      !>[X0: $tType] : ( ( real * fun(nat,X0) * fun(X0,X0) ) > X0 ) ).

tff(func_def_3343,type,
    sK2436: ( fun(real,fun(nat,real)) * real * real * fun(nat,real) ) > nat ).

tff(func_def_3344,type,
    sK2437: ( fun(real,fun(nat,real)) * real * real * fun(nat,real) ) > real ).

tff(func_def_3345,type,
    sK2438: ( fun(real,fun(nat,real)) * real * real * fun(nat,real) ) > real ).

tff(func_def_3346,type,
    sK2439: ( fun(real,fun(nat,real)) * real * real ) > real ).

tff(func_def_3347,type,
    sK2440: ( fun(real,fun(nat,real)) * fun(real,fun(nat,real)) * real ) > nat ).

tff(func_def_3348,type,
    sK2441: 
      !>[X0: $tType] : ( ( real * fun(nat,X0) ) > X0 ) ).

tff(func_def_3349,type,
    sK2442: ( real * fun(nat,real) ) > real ).

tff(func_def_3350,type,
    sK2443: ( fun(nat,fun(real,real)) * fun(real,real) * real * nat ) > real ).

tff(func_def_3351,type,
    sK2444: fun(nat,fun(real,real)) > nat ).

tff(func_def_3352,type,
    sK2445: fun(nat,fun(real,real)) > real ).

tff(func_def_3353,type,
    sK2446: ( fun(nat,fun(real,real)) * fun(real,real) * real * nat ) > real ).

tff(func_def_3354,type,
    sK2447: fun(nat,fun(real,real)) > nat ).

tff(func_def_3355,type,
    sK2448: fun(nat,fun(real,real)) > real ).

tff(func_def_3356,type,
    sK2449: ( fun(nat,fun(real,real)) * nat * real ) > nat ).

tff(func_def_3357,type,
    sK2450: ( fun(nat,fun(real,real)) * nat * real ) > real ).

tff(func_def_3358,type,
    sK2451: ( real * nat * fun(nat,fun(real,real)) * fun(real,real) ) > real ).

tff(func_def_3359,type,
    sK2452: ( fun(nat,fun(real,real)) * nat * real ) > nat ).

tff(func_def_3360,type,
    sK2453: ( fun(nat,fun(real,real)) * nat * real ) > real ).

tff(func_def_3361,type,
    sK2454: ( real * fun(nat,fun(real,real)) * fun(real,real) * nat ) > real ).

tff(func_def_3362,type,
    sK2455: ( fun(nat,fun(real,real)) * nat * real ) > nat ).

tff(func_def_3363,type,
    sK2456: ( fun(nat,fun(real,real)) * nat * real ) > real ).

tff(func_def_3364,type,
    sK2457: ( real * nat * fun(nat,fun(real,real)) * fun(real,real) ) > real ).

tff(func_def_3365,type,
    sK2458: ( fun(nat,fun(real,real)) * fun(real,real) * nat * real ) > real ).

tff(func_def_3366,type,
    sK2459: fun(nat,fun(real,real)) > nat ).

tff(func_def_3367,type,
    sK2460: fun(nat,fun(real,real)) > real ).

tff(func_def_3368,type,
    sK2461: ( fun(nat,fun(real,real)) * fun(real,real) * nat * real ) > real ).

tff(func_def_3369,type,
    sK2462: ( fun(nat,fun(real,real)) * nat * real ) > nat ).

tff(func_def_3370,type,
    sK2463: ( fun(nat,fun(real,real)) * nat * real ) > real ).

tff(func_def_3371,type,
    sK2464: ( fun(nat,fun(real,real)) * nat * real * real ) > nat ).

tff(func_def_3372,type,
    sK2465: ( fun(nat,fun(real,real)) * nat * real * real ) > real ).

tff(func_def_3373,type,
    sK2466: ( nat * fun(nat,fun(real,real)) * fun(real,real) * real * real ) > real ).

tff(func_def_3374,type,
    sK2467: ( fun(nat,fun(real,real)) * nat * real * real ) > nat ).

tff(func_def_3375,type,
    sK2468: ( fun(nat,fun(real,real)) * nat * real * real ) > real ).

tff(func_def_3376,type,
    sK2469: ( nat * fun(nat,fun(real,real)) * fun(real,real) * real * real ) > real ).

tff(func_def_3377,type,
    sK2470: ( nat * fun(nat,fun(real,real)) * fun(real,real) * real * real ) > real ).

tff(func_def_3378,type,
    sK2471: ( nat * fun(nat,fun(real,real)) * real * real ) > nat ).

tff(func_def_3379,type,
    sK2472: ( nat * fun(nat,fun(real,real)) * real * real ) > real ).

tff(func_def_3380,type,
    sK2473: ( nat * real * fun(nat,fun(real,real)) ) > nat ).

tff(func_def_3381,type,
    sK2474: ( nat * real * fun(nat,fun(real,real)) ) > real ).

tff(func_def_3382,type,
    sK2475: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,X1) * fun(X0,fun(X0,X1)) ) > X0 ) ).

tff(func_def_3383,type,
    sK2476: 
      !>[X0: $tType] : ( product_prod(list(X0),list(X0)) > X0 ) ).

tff(func_def_3384,type,
    sK2477: 
      !>[X0: $tType] : ( product_prod(list(X0),list(X0)) > list(X0) ) ).

tff(func_def_3385,type,
    sK2478: 
      !>[X0: $tType] : ( product_prod(list(X0),list(X0)) > list(X0) ) ).

tff(func_def_3386,type,
    sK2479: 
      !>[X0: $tType] : ( product_prod(list(X0),list(X0)) > list(X0) ) ).

tff(func_def_3387,type,
    sK2480: 
      !>[X0: $tType] : ( product_prod(list(X0),list(X0)) > X0 ) ).

tff(func_def_3388,type,
    sK2481: 
      !>[X0: $tType] : ( product_prod(list(X0),list(X0)) > list(X0) ) ).

tff(func_def_3389,type,
    sK2482: 
      !>[X0: $tType] : ( product_prod(list(X0),list(X0)) > X0 ) ).

tff(func_def_3390,type,
    sK2483: 
      !>[X0: $tType] : ( product_prod(list(X0),list(X0)) > list(X0) ) ).

tff(func_def_3391,type,
    sK2484: 
      !>[X0: $tType] : ( product_prod(list(X0),list(X0)) > list(X0) ) ).

tff(func_def_3392,type,
    sK2485: 
      !>[X0: $tType] : ( product_prod(list(X0),list(X0)) > list(X0) ) ).

tff(func_def_3393,type,
    sK2486: 
      !>[X0: $tType] : ( product_prod(fun(X0,fun(X0,$o)),list(X0)) > fun(X0,fun(X0,$o)) ) ).

tff(func_def_3394,type,
    sK2487: 
      !>[X0: $tType] : ( product_prod(fun(X0,fun(X0,$o)),list(X0)) > X0 ) ).

tff(func_def_3395,type,
    sK2488: 
      !>[X0: $tType] : ( product_prod(fun(X0,fun(X0,$o)),list(X0)) > list(X0) ) ).

tff(func_def_3396,type,
    sK2489: 
      !>[X0: $tType] : ( product_prod(fun(X0,fun(X0,$o)),list(X0)) > fun(X0,fun(X0,$o)) ) ).

tff(func_def_3397,type,
    sK2490: 
      !>[X0: $tType,X1: $tType] : ( product_prod(fun(X1,X0),list(X1)) > fun(X1,X0) ) ).

tff(func_def_3398,type,
    sK2491: 
      !>[X0: $tType,X1: $tType] : ( product_prod(fun(X1,X0),list(X1)) > fun(X1,X0) ) ).

tff(func_def_3399,type,
    sK2492: 
      !>[X0: $tType,X1: $tType] : ( product_prod(fun(X1,X0),list(X1)) > X1 ) ).

tff(func_def_3400,type,
    sK2493: 
      !>[X0: $tType,X1: $tType] : ( product_prod(fun(X1,X0),list(X1)) > X1 ) ).

tff(func_def_3401,type,
    sK2494: 
      !>[X0: $tType,X1: $tType] : ( product_prod(fun(X1,X0),list(X1)) > list(X1) ) ).

tff(func_def_3402,type,
    sK2495: 
      !>[X0: $tType,X1: $tType] : ( product_prod(fun(X1,X0),list(X1)) > fun(X1,X0) ) ).

tff(func_def_3403,type,
    sK2496: 
      !>[X0: $tType,X1: $tType] : ( product_prod(fun(X1,X0),list(X1)) > X1 ) ).

tff(func_def_3404,type,
    sK2497: 
      !>[X0: $tType] : ( product_prod(fun(X0,fun(X0,$o)),list(X0)) > fun(X0,fun(X0,$o)) ) ).

tff(func_def_3405,type,
    sK2498: 
      !>[X0: $tType] : ( product_prod(fun(X0,fun(X0,$o)),list(X0)) > X0 ) ).

tff(func_def_3406,type,
    sK2499: 
      !>[X0: $tType] : ( product_prod(fun(X0,fun(X0,$o)),list(X0)) > X0 ) ).

tff(func_def_3407,type,
    sK2500: 
      !>[X0: $tType] : ( product_prod(fun(X0,fun(X0,$o)),list(X0)) > list(X0) ) ).

tff(func_def_3408,type,
    sK2501: 
      !>[X0: $tType] : ( product_prod(fun(X0,fun(X0,$o)),list(X0)) > fun(X0,fun(X0,$o)) ) ).

tff(func_def_3409,type,
    sK2502: 
      !>[X0: $tType] : ( product_prod(fun(X0,fun(X0,$o)),list(X0)) > X0 ) ).

tff(func_def_3410,type,
    sK2503: 
      !>[X0: $tType] : ( product_prod(fun(X0,fun(X0,$o)),list(X0)) > fun(X0,fun(X0,$o)) ) ).

tff(func_def_3411,type,
    sK2504: 
      !>[X0: $tType,X1: $tType] : ( product_prod(fun(X0,X1),product_prod(list(X0),list(X1))) > fun(X0,X1) ) ).

tff(func_def_3412,type,
    sK2505: 
      !>[X0: $tType,X1: $tType] : ( product_prod(fun(X0,X1),product_prod(list(X0),list(X1))) > X0 ) ).

tff(func_def_3413,type,
    sK2506: 
      !>[X0: $tType,X1: $tType] : ( product_prod(fun(X0,X1),product_prod(list(X0),list(X1))) > list(X0) ) ).

tff(func_def_3414,type,
    sK2507: 
      !>[X0: $tType,X1: $tType] : ( product_prod(fun(X0,X1),product_prod(list(X0),list(X1))) > list(X1) ) ).

tff(func_def_3415,type,
    sK2508: 
      !>[X0: $tType,X1: $tType] : ( product_prod(fun(X0,X1),product_prod(list(X0),list(X1))) > fun(X0,X1) ) ).

tff(func_def_3416,type,
    sK2509: 
      !>[X0: $tType,X1: $tType] : ( product_prod(fun(X0,X1),product_prod(list(X0),list(X1))) > list(X1) ) ).

tff(func_def_3417,type,
    sK2510: 
      !>[X0: $tType] : ( fun(list(X0),fun(list(X0),$o)) > X0 ) ).

tff(func_def_3418,type,
    sK2511: 
      !>[X0: $tType] : ( fun(list(X0),fun(list(X0),$o)) > list(X0) ) ).

tff(func_def_3419,type,
    sK2512: 
      !>[X0: $tType] : ( fun(list(X0),fun(list(X0),$o)) > X0 ) ).

tff(func_def_3420,type,
    sK2513: 
      !>[X0: $tType] : ( fun(list(X0),fun(list(X0),$o)) > list(X0) ) ).

tff(func_def_3421,type,
    sK2514: 
      !>[X0: $tType] : ( fun(list(X0),fun(list(X0),$o)) > list(X0) ) ).

tff(func_def_3422,type,
    sK2515: 
      !>[X0: $tType] : ( fun(list(X0),fun(list(X0),$o)) > list(X0) ) ).

tff(func_def_3423,type,
    sK2516: 
      !>[X0: $tType] : ( fun(list(X0),$o) > X0 ) ).

tff(func_def_3424,type,
    sK2517: 
      !>[X0: $tType] : ( fun(list(X0),$o) > list(X0) ) ).

tff(func_def_3425,type,
    sK2518: 
      !>[X0: $tType] : ( fun(list(X0),$o) > X0 ) ).

tff(func_def_3426,type,
    sK2519: 
      !>[X0: $tType,X1: $tType] : ( fun(list(X0),fun(list(X1),$o)) > X0 ) ).

tff(func_def_3427,type,
    sK2520: 
      !>[X0: $tType,X1: $tType] : ( fun(list(X0),fun(list(X1),$o)) > list(X0) ) ).

tff(func_def_3428,type,
    sK2521: 
      !>[X0: $tType,X1: $tType] : ( fun(list(X0),fun(list(X1),$o)) > X1 ) ).

tff(func_def_3429,type,
    sK2522: 
      !>[X0: $tType,X1: $tType] : ( fun(list(X0),fun(list(X1),$o)) > list(X1) ) ).

tff(func_def_3430,type,
    sK2523: 
      !>[X0: $tType,X1: $tType] : ( fun(list(X0),fun(list(X1),$o)) > X1 ) ).

tff(func_def_3431,type,
    sK2524: 
      !>[X0: $tType,X1: $tType] : ( fun(list(X0),fun(list(X1),$o)) > list(X1) ) ).

tff(func_def_3432,type,
    sK2525: 
      !>[X0: $tType,X1: $tType] : ( fun(list(X0),fun(list(X1),$o)) > X0 ) ).

tff(func_def_3433,type,
    sK2526: 
      !>[X0: $tType,X1: $tType] : ( fun(list(X0),fun(list(X1),$o)) > list(X0) ) ).

tff(func_def_3434,type,
    sK2527: 
      !>[X0: $tType] : ( list(X0) > X0 ) ).

tff(func_def_3435,type,
    sK2528: 
      !>[X0: $tType] : ( list(X0) > list(X0) ) ).

tff(func_def_3436,type,
    sK2529: 
      !>[X0: $tType] : ( list(X0) > X0 ) ).

tff(func_def_3437,type,
    sK2530: 
      !>[X0: $tType] : ( list(X0) > X0 ) ).

tff(func_def_3438,type,
    sK2531: 
      !>[X0: $tType] : ( list(X0) > list(X0) ) ).

tff(func_def_3439,type,
    sK2532: 
      !>[X0: $tType] : ( list(X0) > X0 ) ).

tff(func_def_3440,type,
    sK2533: 
      !>[X0: $tType] : ( list(list(X0)) > X0 ) ).

tff(func_def_3441,type,
    sK2534: 
      !>[X0: $tType] : ( list(list(X0)) > list(X0) ) ).

tff(func_def_3442,type,
    sK2535: 
      !>[X0: $tType] : ( list(list(X0)) > list(list(X0)) ) ).

tff(func_def_3443,type,
    sK2536: 
      !>[X0: $tType] : ( list(list(X0)) > list(list(X0)) ) ).

tff(func_def_3444,type,
    sK2537: 
      !>[X0: $tType] : ( list(X0) > X0 ) ).

tff(func_def_3445,type,
    sK2538: 
      !>[X0: $tType] : ( list(X0) > list(X0) ) ).

tff(func_def_3446,type,
    sK2539: 
      !>[X0: $tType] : ( list(X0) > X0 ) ).

tff(func_def_3447,type,
    sK2540: 
      !>[X0: $tType] : ( list(X0) > list(X0) ) ).

tff(func_def_3448,type,
    sK2541: 
      !>[X0: $tType,X1: $tType] : ( fun(list(X0),fun(list(X1),$o)) > X0 ) ).

tff(func_def_3449,type,
    sK2542: 
      !>[X0: $tType,X1: $tType] : ( fun(list(X0),fun(list(X1),$o)) > list(X0) ) ).

tff(func_def_3450,type,
    sK2543: 
      !>[X0: $tType,X1: $tType] : ( fun(list(X0),fun(list(X1),$o)) > X1 ) ).

tff(func_def_3451,type,
    sK2544: 
      !>[X0: $tType,X1: $tType] : ( fun(list(X0),fun(list(X1),$o)) > list(X1) ) ).

tff(func_def_3452,type,
    sK2545: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( fun(list(X1),fun(list(X0),fun(list(X2),$o))) > X1 ) ).

tff(func_def_3453,type,
    sK2546: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( fun(list(X1),fun(list(X0),fun(list(X2),$o))) > list(X1) ) ).

tff(func_def_3454,type,
    sK2547: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( fun(list(X1),fun(list(X0),fun(list(X2),$o))) > X0 ) ).

tff(func_def_3455,type,
    sK2548: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( fun(list(X1),fun(list(X0),fun(list(X2),$o))) > list(X0) ) ).

tff(func_def_3456,type,
    sK2549: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( fun(list(X1),fun(list(X0),fun(list(X2),$o))) > X2 ) ).

tff(func_def_3457,type,
    sK2550: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( fun(list(X1),fun(list(X0),fun(list(X2),$o))) > list(X2) ) ).

tff(func_def_3458,type,
    sK2551: 
      !>[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_3459,type,
    sK2552: 
      !>[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_3460,type,
    sK2553: 
      !>[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_3461,type,
    sK2554: 
      !>[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_3462,type,
    sK2555: 
      !>[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_3463,type,
    sK2556: 
      !>[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_3464,type,
    sK2557: 
      !>[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_3465,type,
    sK2558: 
      !>[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_3466,type,
    sK2559: 
      !>[X0: $tType] : ( ( X0 * list(X0) ) > X0 ) ).

tff(func_def_3467,type,
    sK2560: 
      !>[X0: $tType] : ( ( X0 * list(X0) ) > list(X0) ) ).

tff(func_def_3468,type,
    sK2561: 
      !>[X0: $tType] : ( ( X0 * list(X0) ) > list(X0) ) ).

tff(func_def_3469,type,
    sK2562: 
      !>[X0: $tType] : ( ( nat * list(X0) ) > X0 ) ).

tff(func_def_3470,type,
    sK2563: 
      !>[X0: $tType] : ( ( nat * list(X0) ) > list(X0) ) ).

tff(func_def_3471,type,
    sK2564: 
      !>[X0: $tType] : ( ( list(X0) * nat ) > X0 ) ).

tff(func_def_3472,type,
    sK2565: 
      !>[X0: $tType] : ( ( list(X0) * nat ) > list(X0) ) ).

tff(func_def_3473,type,
    sK2566: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) * list(X0) ) > X0 ) ).

tff(func_def_3474,type,
    sK2567: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) * list(X0) ) > list(X0) ) ).

tff(func_def_3475,type,
    sK2568: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) * list(X0) ) > X0 ) ).

tff(func_def_3476,type,
    sK2569: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) * list(X0) ) > list(X0) ) ).

tff(func_def_3477,type,
    sK2570: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) * list(X0) ) > X0 ) ).

tff(func_def_3478,type,
    sK2571: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) * list(X0) ) > list(X0) ) ).

tff(func_def_3479,type,
    sK2572: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) * list(X0) ) > X0 ) ).

tff(func_def_3480,type,
    sK2573: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) * list(X0) ) > list(X0) ) ).

tff(func_def_3481,type,
    sK2574: 
      !>[X0: $tType] : ( ( nat * list(X0) ) > X0 ) ).

tff(func_def_3482,type,
    sK2575: 
      !>[X0: $tType] : ( ( nat * list(X0) ) > list(X0) ) ).

tff(func_def_3483,type,
    sK2576: 
      !>[X0: $tType,X1: $tType] : ( ( list(X1) * fun(X1,X0) * X1 ) > X1 ) ).

tff(func_def_3484,type,
    sK2577: 
      !>[X0: $tType] : ( ( list(list(X0)) * list(X0) * list(X0) ) > list(list(X0)) ) ).

tff(func_def_3485,type,
    sK2578: 
      !>[X0: $tType] : ( ( list(list(X0)) * list(X0) * list(X0) ) > list(X0) ) ).

tff(func_def_3486,type,
    sK2579: 
      !>[X0: $tType] : ( ( list(list(X0)) * list(X0) * list(X0) ) > list(X0) ) ).

tff(func_def_3487,type,
    sK2580: 
      !>[X0: $tType] : ( ( list(list(X0)) * list(X0) * list(X0) ) > list(list(X0)) ) ).

tff(func_def_3488,type,
    sK2581: 
      !>[X0: $tType] : ( fun(list(X0),$o) > X0 ) ).

tff(func_def_3489,type,
    sK2582: 
      !>[X0: $tType] : ( fun(list(X0),$o) > list(X0) ) ).

tff(func_def_3490,type,
    sK2583: 
      !>[X0: $tType] : ( fun(list(X0),$o) > X0 ) ).

tff(func_def_3491,type,
    sK2584: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) * X0 * list(X0) ) > list(X0) ) ).

tff(func_def_3492,type,
    sK2585: 
      !>[X0: $tType] : ( ( X0 * list(X0) * list(X0) * list(X0) ) > list(X0) ) ).

tff(func_def_3493,type,
    sK2586: 
      !>[X0: $tType] : ( list(X0) > list(X0) ) ).

tff(func_def_3494,type,
    sK2587: 
      !>[X0: $tType] : ( list(X0) > X0 ) ).

tff(func_def_3495,type,
    sK2588: 
      !>[X0: $tType] : ( fun(list(X0),$o) > X0 ) ).

tff(func_def_3496,type,
    sK2589: 
      !>[X0: $tType] : ( fun(list(X0),$o) > list(X0) ) ).

tff(func_def_3497,type,
    sK2590: 
      !>[X0: $tType] : ( ( list(X0) * fun(X0,$o) ) > X0 ) ).

tff(func_def_3498,type,
    sK2591: 
      !>[X0: $tType] : ( ( fun(X0,$o) * list(X0) ) > X0 ) ).

tff(func_def_3499,type,
    sK2592: 
      !>[X0: $tType] : ( ( list(X0) * fun(X0,$o) ) > list(X0) ) ).

tff(func_def_3500,type,
    sK2593: 
      !>[X0: $tType] : ( ( list(X0) * fun(X0,$o) ) > X0 ) ).

tff(func_def_3501,type,
    sK2594: 
      !>[X0: $tType] : ( ( list(X0) * fun(X0,$o) ) > list(X0) ) ).

tff(func_def_3502,type,
    sK2595: 
      !>[X0: $tType] : ( ( list(X0) * fun(X0,$o) ) > X0 ) ).

tff(func_def_3503,type,
    sK2596: 
      !>[X0: $tType] : ( ( fun(X0,$o) * list(X0) ) > X0 ) ).

tff(func_def_3504,type,
    sK2597: 
      !>[X0: $tType] : ( ( list(X0) * fun(X0,$o) ) > list(X0) ) ).

tff(func_def_3505,type,
    sK2598: 
      !>[X0: $tType] : ( ( list(X0) * fun(X0,$o) ) > X0 ) ).

tff(func_def_3506,type,
    sK2599: 
      !>[X0: $tType] : ( ( list(X0) * fun(X0,$o) ) > list(X0) ) ).

tff(func_def_3507,type,
    sK2600: 
      !>[X0: $tType] : ( ( X0 * list(X0) ) > list(X0) ) ).

tff(func_def_3508,type,
    sK2601: 
      !>[X0: $tType] : ( ( X0 * list(X0) ) > list(X0) ) ).

tff(func_def_3509,type,
    sK2602: 
      !>[X0: $tType] : ( ( X0 * list(X0) ) > list(X0) ) ).

tff(func_def_3510,type,
    sK2603: 
      !>[X0: $tType] : ( ( X0 * list(X0) ) > list(X0) ) ).

tff(func_def_3511,type,
    sK2604: 
      !>[X0: $tType] : ( ( list(X0) * fun(X0,$o) ) > list(X0) ) ).

tff(func_def_3512,type,
    sK2605: 
      !>[X0: $tType] : ( ( list(X0) * fun(X0,$o) ) > X0 ) ).

tff(func_def_3513,type,
    sK2606: 
      !>[X0: $tType] : ( ( list(X0) * fun(X0,$o) ) > list(X0) ) ).

tff(func_def_3514,type,
    sK2607: 
      !>[X0: $tType] : ( ( list(X0) * fun(X0,$o) ) > list(X0) ) ).

tff(func_def_3515,type,
    sK2608: 
      !>[X0: $tType] : ( ( list(X0) * fun(X0,$o) ) > X0 ) ).

tff(func_def_3516,type,
    sK2609: 
      !>[X0: $tType] : ( ( list(X0) * fun(X0,$o) ) > list(X0) ) ).

tff(func_def_3517,type,
    sK2610: 
      !>[X0: $tType] : ( ( list(X0) * fun(X0,$o) ) > list(X0) ) ).

tff(func_def_3518,type,
    sK2611: 
      !>[X0: $tType] : ( ( list(X0) * fun(X0,$o) ) > X0 ) ).

tff(func_def_3519,type,
    sK2612: 
      !>[X0: $tType] : ( ( list(X0) * fun(X0,$o) ) > list(X0) ) ).

tff(func_def_3520,type,
    sK2613: 
      !>[X0: $tType] : ( ( list(X0) * fun(X0,$o) ) > list(X0) ) ).

tff(func_def_3521,type,
    sK2614: 
      !>[X0: $tType] : ( ( list(X0) * fun(X0,$o) ) > X0 ) ).

tff(func_def_3522,type,
    sK2615: 
      !>[X0: $tType] : ( ( list(X0) * fun(X0,$o) ) > list(X0) ) ).

tff(func_def_3523,type,
    sK2616: 
      !>[X0: $tType] : ( ( X0 * list(X0) ) > list(X0) ) ).

tff(func_def_3524,type,
    sK2617: 
      !>[X0: $tType] : ( ( X0 * list(X0) ) > list(X0) ) ).

tff(func_def_3525,type,
    sK2618: 
      !>[X0: $tType] : ( ( list(X0) * fun(X0,$o) ) > list(X0) ) ).

tff(func_def_3526,type,
    sK2619: 
      !>[X0: $tType] : ( ( list(X0) * fun(X0,$o) ) > X0 ) ).

tff(func_def_3527,type,
    sK2620: 
      !>[X0: $tType] : ( ( list(X0) * fun(X0,$o) ) > list(X0) ) ).

tff(func_def_3528,type,
    sK2621: 
      !>[X0: $tType] : ( ( X0 * list(X0) ) > list(X0) ) ).

tff(func_def_3529,type,
    sK2622: 
      !>[X0: $tType] : ( ( X0 * list(X0) ) > list(X0) ) ).

tff(func_def_3530,type,
    sK2623: 
      !>[X0: $tType] : ( ( list(X0) * fun(X0,$o) ) > list(X0) ) ).

tff(func_def_3531,type,
    sK2624: 
      !>[X0: $tType] : ( ( list(X0) * fun(X0,$o) ) > X0 ) ).

tff(func_def_3532,type,
    sK2625: 
      !>[X0: $tType] : ( ( list(X0) * fun(X0,$o) ) > list(X0) ) ).

tff(func_def_3533,type,
    sK2626: 
      !>[X0: $tType] : ( ( X0 * list(X0) ) > list(X0) ) ).

tff(func_def_3534,type,
    sK2627: 
      !>[X0: $tType] : ( ( X0 * list(X0) ) > list(X0) ) ).

tff(func_def_3535,type,
    sK2628: 
      !>[X0: $tType] : ( ( X0 * list(X0) ) > list(X0) ) ).

tff(func_def_3536,type,
    sK2629: 
      !>[X0: $tType] : ( ( X0 * list(X0) ) > list(X0) ) ).

tff(func_def_3537,type,
    sK2630: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) * list(X0) * list(X0) ) > list(X0) ) ).

tff(func_def_3538,type,
    sK2631: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) ) > nat ) ).

tff(func_def_3539,type,
    sK2632: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) ) > nat ) ).

tff(func_def_3540,type,
    sK2633: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) ) > list(X0) ) ).

tff(func_def_3541,type,
    sK2634: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) ) > list(X0) ) ).

tff(func_def_3542,type,
    sK2635: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) ) > X0 ) ).

tff(func_def_3543,type,
    sK2636: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) ) > list(X0) ) ).

tff(func_def_3544,type,
    sK2637: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) ) > X0 ) ).

tff(func_def_3545,type,
    sK2638: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) ) > list(X0) ) ).

tff(func_def_3546,type,
    sK2639: 
      !>[X0: $tType] : ( list(X0) > list(X0) ) ).

tff(func_def_3547,type,
    sK2640: 
      !>[X0: $tType] : ( list(X0) > list(X0) ) ).

tff(func_def_3548,type,
    sK2641: 
      !>[X0: $tType] : ( list(X0) > list(X0) ) ).

tff(func_def_3549,type,
    sK2642: 
      !>[X0: $tType] : ( list(X0) > X0 ) ).

tff(func_def_3550,type,
    sK2643: 
      !>[X0: $tType] : ( list(X0) > list(X0) ) ).

tff(func_def_3551,type,
    sK2644: 
      !>[X0: $tType] : ( list(X0) > X0 ) ).

tff(func_def_3552,type,
    sK2645: 
      !>[X0: $tType] : ( list(X0) > list(X0) ) ).

tff(func_def_3553,type,
    sK2646: 
      !>[X0: $tType] : ( ( X0 * list(X0) * list(X0) ) > list(X0) ) ).

tff(func_def_3554,type,
    sK2647: 
      !>[X0: $tType] : ( ( X0 * list(X0) * list(X0) ) > list(X0) ) ).

tff(func_def_3555,type,
    sK2648: 
      !>[X0: $tType] : ( ( list(X0) * nat ) > X0 ) ).

tff(func_def_3556,type,
    sK2649: 
      !>[X0: $tType] : ( ( list(X0) * nat ) > list(X0) ) ).

tff(func_def_3557,type,
    sK2650: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) ) > nat ) ).

tff(func_def_3558,type,
    sK2651: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) ) > list(X0) ) ).

tff(func_def_3559,type,
    sK2652: 
      !>[X0: $tType] : ( ( set(list(X0)) * list(X0) * list(X0) ) > X0 ) ).

tff(func_def_3560,type,
    sK2653: 
      !>[X0: $tType] : ( ( set(list(X0)) * list(X0) * list(X0) ) > list(X0) ) ).

tff(func_def_3561,type,
    sK2654: 
      !>[X0: $tType] : ( ( set(list(X0)) * list(X0) * list(X0) ) > X0 ) ).

tff(func_def_3562,type,
    sK2655: 
      !>[X0: $tType] : ( ( set(list(X0)) * list(X0) * list(X0) ) > list(X0) ) ).

tff(func_def_3563,type,
    sK2656: 
      !>[X0: $tType] : ( fun(X0,fun(X0,X0)) > X0 ) ).

tff(func_def_3564,type,
    sK2657: 
      !>[X0: $tType] : ( fun(X0,fun(X0,X0)) > X0 ) ).

tff(func_def_3565,type,
    sK2658: 
      !>[X0: $tType] : ( fun(X0,fun(X0,X0)) > X0 ) ).

tff(func_def_3566,type,
    sK2659: 
      !>[X0: $tType] : ( fun(X0,fun(X0,X0)) > X0 ) ).

tff(func_def_3567,type,
    sK2660: 
      !>[X0: $tType] : ( fun(X0,fun(X0,X0)) > X0 ) ).

tff(func_def_3568,type,
    sK2661: 
      !>[X0: $tType] : ( fun(X0,fun(X0,X0)) > X0 ) ).

tff(func_def_3569,type,
    sK2662: 
      !>[X0: $tType] : ( fun(X0,fun(X0,X0)) > X0 ) ).

tff(func_def_3570,type,
    sK2663: 
      !>[X0: $tType] : ( ( set(X0) * set(X0) * set(X0) ) > set(X0) ) ).

tff(func_def_3571,type,
    sK2664: 
      !>[X0: $tType] : ( ( set(X0) * set(X0) * set(X0) ) > set(X0) ) ).

tff(func_def_3572,type,
    sK2665: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_3573,type,
    sK2666: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_3574,type,
    sK2667: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_3575,type,
    sK2668: 
      !>[X0: $tType] : ( ( set(list(X0)) * list(X0) * list(X0) ) > X0 ) ).

tff(func_def_3576,type,
    sK2669: 
      !>[X0: $tType] : ( ( set(list(X0)) * list(X0) * list(X0) ) > list(X0) ) ).

tff(func_def_3577,type,
    sK2670: 
      !>[X0: $tType] : ( ( set(list(X0)) * list(X0) * list(X0) ) > X0 ) ).

tff(func_def_3578,type,
    sK2671: 
      !>[X0: $tType] : ( ( set(list(X0)) * list(X0) * list(X0) ) > list(X0) ) ).

tff(func_def_3579,type,
    sK2672: 
      !>[X0: $tType] : ( set(product_prod(X0,X0)) > X0 ) ).

tff(func_def_3580,type,
    sK2673: 
      !>[X0: $tType] : ( set(product_prod(X0,X0)) > X0 ) ).

tff(func_def_3581,type,
    sK2674: 
      !>[X0: $tType] : ( fun(list(X0),fun(list(X0),$o)) > X0 ) ).

tff(func_def_3582,type,
    sK2675: 
      !>[X0: $tType] : ( fun(list(X0),fun(list(X0),$o)) > list(X0) ) ).

tff(func_def_3583,type,
    sK2676: 
      !>[X0: $tType] : ( fun(list(X0),fun(list(X0),$o)) > list(X0) ) ).

tff(func_def_3584,type,
    sK2677: 
      !>[X0: $tType] : ( fun(list(X0),fun(list(X0),$o)) > list(X0) ) ).

tff(func_def_3585,type,
    sK2678: 
      !>[X0: $tType] : ( set(product_prod(X0,X0)) > X0 ) ).

tff(func_def_3586,type,
    sK2679: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) * list(X0) ) > X0 ) ).

tff(func_def_3587,type,
    sK2680: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) * list(X0) ) > list(X0) ) ).

tff(func_def_3588,type,
    sK2681: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( set(X1) * fun(X2,fun(X1,X0)) * filter(X2) ) > X1 ) ).

tff(func_def_3589,type,
    sK2682: 
      !>[X0: $tType] : ( ( fun(X0,real) * X0 * fun(X0,real) ) > X0 ) ).

tff(func_def_3590,type,
    sK2683: 
      !>[X0: $tType] : ( ( X0 * fun(X0,real) ) > X0 ) ).

tff(func_def_3591,type,
    sK2684: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( fun(X2,X0) * X0 * X2 * fun(X2,X1) * X1 ) > X2 ) ).

tff(func_def_3592,type,
    sK2685: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * X0 * X1 * real ) > real ) ).

tff(func_def_3593,type,
    sK2686: 
      !>[X0: $tType,X1: $tType] : ( ( X1 * fun(X1,X0) * X0 ) > real ) ).

tff(func_def_3594,type,
    sK2687: 
      !>[X0: $tType,X1: $tType] : ( ( X1 * fun(X1,X0) * X0 * real ) > X1 ) ).

tff(func_def_3595,type,
    sK2688: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * X0 * X1 ) > real ) ).

tff(func_def_3596,type,
    sK2689: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * X0 * X1 * real ) > X1 ) ).

tff(func_def_3597,type,
    sK2690: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * X0 * X1 * real ) > real ) ).

tff(func_def_3598,type,
    sK2691: 
      !>[X0: $tType,X1: $tType] : ( ( real * X1 * fun(X1,X0) * fun(X1,X0) ) > X1 ) ).

tff(func_def_3599,type,
    sK2692: ( fun(real,real) * real ) > real ).

tff(func_def_3600,type,
    sK2693: ( fun(real,real) * real ) > real ).

tff(func_def_3601,type,
    sK2694: ( fun(real,real) * real ) > real ).

tff(func_def_3602,type,
    sK2695: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * X0 * X1 * real ) > X1 ) ).

tff(func_def_3603,type,
    sK2696: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) * list(X0) ) > X0 ) ).

tff(func_def_3604,type,
    sK2697: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) * list(X0) ) > list(X0) ) ).

tff(func_def_3605,type,
    sK2698: 
      !>[X0: $tType,X1: $tType] : ( ( real * fun(X1,X0) * real ) > X1 ) ).

tff(func_def_3606,type,
    sK2699: 
      !>[X0: $tType] : ( ( real * fun(nat,X0) * fun(X0,X0) ) > X0 ) ).

tff(func_def_3607,type,
    sK2700: 
      !>[X0: $tType] : ( ( real * fun(nat,X0) * fun(X0,X0) ) > X0 ) ).

tff(func_def_3608,type,
    sK2701: 
      !>[X0: $tType,X1: $tType] : ( ( real * fun(nat,real) * fun(X1,fun(nat,X0)) ) > X1 ) ).

tff(func_def_3609,type,
    sK2702: 
      !>[X0: $tType,X1: $tType] : ( ( real * fun(nat,real) * fun(X1,fun(nat,X0)) ) > nat ) ).

tff(func_def_3610,type,
    sK2703: 
      !>[X0: $tType] : ( X0 > fun(nat,X0) ) ).

tff(func_def_3611,type,
    sK2704: 
      !>[X0: $tType] : ( X0 > fun(nat,X0) ) ).

tff(func_def_3612,type,
    sK2705: 
      !>[X0: $tType] : ( ( nat * fun(nat,X0) * fun(nat,X0) ) > nat ) ).

tff(func_def_3613,type,
    sK2706: 
      !>[X0: $tType] : ( ( fun(nat,X0) * fun(nat,X0) * nat ) > nat ) ).

tff(func_def_3614,type,
    sK2707: 
      !>[X0: $tType] : ( ( fun(nat,X0) * nat * X0 ) > nat ) ).

tff(func_def_3615,type,
    sK2708: 
      !>[X0: $tType] : ( ( fun(nat,X0) * nat * X0 ) > nat ) ).

tff(func_def_3616,type,
    sK2709: 
      !>[X0: $tType] : ( ( fun(nat,X0) * X0 * nat ) > nat ) ).

tff(func_def_3617,type,
    sK2710: 
      !>[X0: $tType] : ( ( fun(nat,X0) * X0 * nat ) > nat ) ).

tff(func_def_3618,type,
    sK2711: 
      !>[X0: $tType] : ( ( fun(nat,X0) * set(X0) ) > nat ) ).

tff(func_def_3619,type,
    sK2712: 
      !>[X0: $tType] : ( ( fun(nat,X0) * set(X0) ) > nat ) ).

tff(func_def_3620,type,
    sK2713: fun(nat,real) > real ).

tff(func_def_3621,type,
    sK2714: ( fun(nat,real) * real ) > nat ).

tff(func_def_3622,type,
    sK2715: ( fun(nat,real) * fun(nat,real) ) > real ).

tff(func_def_3623,type,
    sK2716: ( fun(nat,real) * fun(nat,real) ) > nat ).

tff(func_def_3624,type,
    sK2717: fun(nat,real) > nat ).

tff(func_def_3625,type,
    sK2718: fun(nat,real) > nat ).

tff(func_def_3626,type,
    sK2719: fun(nat,real) > real ).

tff(func_def_3627,type,
    sK2720: ( fun(nat,real) * nat ) > nat ).

tff(func_def_3628,type,
    sK2721: ( fun(nat,real) * real ) > real ).

tff(func_def_3629,type,
    sK2722: ( fun(nat,real) * real ) > nat ).

tff(func_def_3630,type,
    sK2723: fun(nat,real) > nat ).

tff(func_def_3631,type,
    sK2724: 
      !>[X0: $tType] : ( ( fun(nat,X0) * X0 * real ) > nat ) ).

tff(func_def_3632,type,
    sK2725: 
      !>[X0: $tType] : ( ( fun(nat,X0) * X0 ) > real ) ).

tff(func_def_3633,type,
    sK2726: 
      !>[X0: $tType] : ( ( fun(nat,X0) * X0 * nat ) > nat ) ).

tff(func_def_3634,type,
    sK2727: 
      !>[X0: $tType] : ( ( fun(nat,X0) * X0 ) > real ) ).

tff(func_def_3635,type,
    sK2728: 
      !>[X0: $tType] : ( ( fun(nat,X0) * X0 * nat ) > nat ) ).

tff(func_def_3636,type,
    sK2729: 
      !>[X0: $tType] : ( ( fun(nat,X0) * X0 * real ) > nat ) ).

tff(func_def_3637,type,
    sK2730: 
      !>[X0: $tType] : ( fun(nat,X0) > nat ) ).

tff(func_def_3638,type,
    sK2731: 
      !>[X0: $tType] : ( fun(nat,X0) > nat ) ).

tff(func_def_3639,type,
    sK2732: fun(nat,real) > nat ).

tff(func_def_3640,type,
    sK2733: fun(nat,real) > nat ).

tff(func_def_3641,type,
    sK2734: ( fun(nat,real) * real ) > fun(nat,int) ).

tff(func_def_3642,type,
    sK2735: fun(nat,real) > fun(nat,int) ).

tff(func_def_3643,type,
    sK2736: fun(nat,real) > nat ).

tff(func_def_3644,type,
    sK2737: fun(nat,real) > nat ).

tff(func_def_3645,type,
    sK2738: fun(nat,real) > nat ).

tff(func_def_3646,type,
    sK2739: fun(nat,real) > nat ).

tff(func_def_3647,type,
    sK2740: fun(nat,real) > real ).

tff(func_def_3648,type,
    sK2741: fun(nat,real) > nat ).

tff(func_def_3649,type,
    sK2742: fun(nat,real) > nat ).

tff(func_def_3650,type,
    sK2743: fun(nat,real) > nat ).

tff(func_def_3651,type,
    sK2744: fun(nat,real) > nat ).

tff(func_def_3652,type,
    sK2745: fun(nat,real) > nat ).

tff(func_def_3653,type,
    sK2746: fun(nat,real) > nat ).

tff(func_def_3654,type,
    sK2747: filter(nat) > nat ).

tff(func_def_3655,type,
    sK2748: ( fun(nat,$o) * nat ) > nat ).

tff(func_def_3656,type,
    sK2749: fun(nat,$o) > nat ).

tff(func_def_3657,type,
    sK2750: ( nat * fun(nat,$o) ) > nat ).

tff(func_def_3658,type,
    sK2751: 
      !>[X0: $tType] : ( ( fun(X0,$o) * X0 ) > X0 ) ).

tff(func_def_3659,type,
    sK2752: 
      !>[X0: $tType] : ( fun(X0,$o) > X0 ) ).

tff(func_def_3660,type,
    sK2753: 
      !>[X0: $tType] : ( ( X0 * fun(X0,$o) ) > X0 ) ).

tff(func_def_3661,type,
    sK2754: 
      !>[X0: $tType] : ( ( fun(X0,$o) * X0 ) > X0 ) ).

tff(func_def_3662,type,
    sK2755: 
      !>[X0: $tType] : ( fun(X0,$o) > X0 ) ).

tff(func_def_3663,type,
    sK2756: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,fun(X0,$o)) * filter(X1) ) > fun(X1,X0) ) ).

tff(func_def_3664,type,
    sK2757: 
      !>[X0: $tType] : ( ( filter(X0) * filter(X0) ) > fun(X0,$o) ) ).

tff(func_def_3665,type,
    sK2758: 
      !>[X0: $tType] : ( ( filter(X0) * filter(X0) ) > fun(X0,$o) ) ).

tff(func_def_3666,type,
    sK2759: 
      !>[X0: $tType] : ( ( fun(X0,$o) * X0 ) > X0 ) ).

tff(func_def_3667,type,
    sK2760: 
      !>[X0: $tType] : ( fun(X0,$o) > X0 ) ).

tff(func_def_3668,type,
    sK2761: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * fun(X1,$o) ) > X1 ) ).

tff(func_def_3669,type,
    sK2762: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * fun(X1,$o) ) > X1 ) ).

tff(func_def_3670,type,
    sK2763: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,$o) * fun(X0,$o) * fun(X0,X1) ) > X0 ) ).

tff(func_def_3671,type,
    sK2764: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * fun(X0,$o) * fun(X0,X1) ) > X0 ) ).

tff(func_def_3672,type,
    sK2765: 
      !>[X0: $tType] : ( ( X0 * fun(X0,$o) * X0 ) > X0 ) ).

tff(func_def_3673,type,
    sK2766: 
      !>[X0: $tType] : ( ( X0 * fun(X0,$o) ) > X0 ) ).

tff(func_def_3674,type,
    sK2767: 
      !>[X0: $tType] : ( ( fun(X0,$o) * X0 * X0 ) > X0 ) ).

tff(func_def_3675,type,
    sK2768: 
      !>[X0: $tType] : ( ( fun(X0,$o) * X0 ) > X0 ) ).

tff(func_def_3676,type,
    sK2769: 
      !>[X0: $tType,X1: $tType] : ( fun(X1,X0) > real ) ).

tff(func_def_3677,type,
    sK2770: 
      !>[X0: $tType,X1: $tType] : ( ( X0 * fun(X1,X0) * filter(X1) ) > X0 ) ).

tff(func_def_3678,type,
    sK2771: 
      !>[X0: $tType,X1: $tType] : ( ( X0 * fun(X1,X0) * filter(X1) ) > X0 ) ).

tff(func_def_3679,type,
    sK2772: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * X0 * filter(X1) ) > X0 ) ).

tff(func_def_3680,type,
    sK2773: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * X0 * filter(X1) ) > X0 ) ).

tff(func_def_3681,type,
    sK2774: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * filter(X1) ) > X0 ) ).

tff(func_def_3682,type,
    sK2775: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * filter(X1) * X0 ) > X0 ) ).

tff(func_def_3683,type,
    sK2776: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * filter(X1) ) > X0 ) ).

tff(func_def_3684,type,
    sK2777: 
      !>[X0: $tType] : ( set(filter(X0)) > filter(X0) ) ).

tff(func_def_3685,type,
    sK2778: 
      !>[X0: $tType] : ( set(filter(X0)) > filter(X0) ) ).

tff(func_def_3686,type,
    sK2779: 
      !>[X0: $tType] : ( ( set(filter(X0)) * fun(X0,$o) ) > filter(X0) ) ).

tff(func_def_3687,type,
    sK2780: 
      !>[X0: $tType] : ( ( X0 * X0 * fun(X0,$o) ) > X0 ) ).

tff(func_def_3688,type,
    sK2781: 
      !>[X0: $tType,X1: $tType] : ( fun(X1,X0) > real ) ).

tff(func_def_3689,type,
    sK2782: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * X0 * filter(X1) ) > X0 ) ).

tff(func_def_3690,type,
    sK2783: 
      !>[X0: $tType,X1: $tType] : ( ( X0 * fun(X1,X0) * filter(X1) ) > X0 ) ).

tff(func_def_3691,type,
    sK2784: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * filter(X1) * X0 ) > X0 ) ).

tff(func_def_3692,type,
    sK2785: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,$o) * fun(X1,filter(X0)) * set(X1) ) > set(X1) ) ).

tff(func_def_3693,type,
    sK2786: 
      !>[X0: $tType,X1: $tType] : ( fun(X1,X0) > real ) ).

tff(func_def_3694,type,
    sK2787: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * real ) > X1 ) ).

tff(func_def_3695,type,
    sK2788: 
      !>[X0: $tType,X1: $tType] : ( fun(X1,X0) > real ) ).

tff(func_def_3696,type,
    sK2789: 
      !>[X0: $tType,X1: $tType] : ( fun(X1,X0) > X1 ) ).

tff(func_def_3697,type,
    sK2790: 
      !>[X0: $tType,X1: $tType] : ( fun(X1,X0) > X1 ) ).

tff(func_def_3698,type,
    sK2791: 
      !>[X0: $tType,X1: $tType] : ( fun(X1,X0) > X1 ) ).

tff(func_def_3699,type,
    sK2792: 
      !>[X0: $tType] : ( ( fun(X0,$o) * set(filter(X0)) ) > set(filter(X0)) ) ).

tff(func_def_3700,type,
    sK2793: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * fun(X1,$o) ) > X1 ) ).

tff(func_def_3701,type,
    sK2794: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * fun(X1,$o) ) > X1 ) ).

tff(func_def_3702,type,
    sK2795: 
      !>[X0: $tType] : ( ( fun(X0,$o) * X0 ) > X0 ) ).

tff(func_def_3703,type,
    sK2796: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,$o) * fun(X0,$o) * fun(X0,X1) ) > X0 ) ).

tff(func_def_3704,type,
    sK2797: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * fun(X0,$o) * fun(X0,X1) ) > X0 ) ).

tff(func_def_3705,type,
    sK2798: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,filter(X1)) ) > X0 ) ).

tff(func_def_3706,type,
    sK2799: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,filter(X1)) ) > X0 ) ).

tff(func_def_3707,type,
    sK2800: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,filter(X0)) * fun(X0,$o) ) > X1 ) ).

tff(func_def_3708,type,
    sK2801: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * fun(X1,X0) * X1 * fun(X1,X0) ) > X1 ) ).

tff(func_def_3709,type,
    sK2802: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * fun(X1,X0) * X1 ) > fun(X1,X0) ) ).

tff(func_def_3710,type,
    sK2803: 
      !>[X0: $tType,X1: $tType] : ( ( X1 * set(X1) * fun(X1,X0) * fun(X1,X0) * fun(X1,X0) ) > X1 ) ).

tff(func_def_3711,type,
    sK2804: 
      !>[X0: $tType,X1: $tType] : ( ( X1 * set(X1) * fun(X1,X0) * fun(X1,X0) ) > fun(X1,X0) ) ).

tff(func_def_3712,type,
    sK2805: 
      !>[X0: $tType] : ( X0 > fun(nat,set(X0)) ) ).

tff(func_def_3713,type,
    sK2806: 
      !>[X0: $tType] : ( ( X0 * set(X0) ) > nat ) ).

tff(func_def_3714,type,
    sK2807: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_3715,type,
    sK2808: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > set(X0) ) ).

tff(func_def_3716,type,
    sK2809: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_3717,type,
    sK2810: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_3718,type,
    sK2811: 
      !>[X0: $tType,X1: $tType] : ( fun(X1,fun(X0,$o)) > X1 ) ).

tff(func_def_3719,type,
    sK2812: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_3720,type,
    sK2813: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_3721,type,
    sK2814: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_3722,type,
    sK2815: 
      !>[X0: $tType] : ( X0 > fun(nat,set(X0)) ) ).

tff(func_def_3723,type,
    sK2816: 
      !>[X0: $tType] : ( ( fun(nat,X0) * X0 ) > set(X0) ) ).

tff(func_def_3724,type,
    sK2817: 
      !>[X0: $tType] : ( ( fun(nat,X0) * X0 * nat ) > nat ) ).

tff(func_def_3725,type,
    sK2818: 
      !>[X0: $tType] : ( ( fun(nat,X0) * set(X0) ) > nat ) ).

tff(func_def_3726,type,
    sK2819: 
      !>[X0: $tType] : ( ( fun(X0,$o) * real ) > X0 ) ).

tff(func_def_3727,type,
    sK2820: 
      !>[X0: $tType] : ( fun(X0,$o) > real ) ).

tff(func_def_3728,type,
    sK2821: 
      !>[X0: $tType] : ( ( fun(X0,$o) * real ) > X0 ) ).

tff(func_def_3729,type,
    sK2822: 
      !>[X0: $tType] : ( fun(X0,$o) > real ) ).

tff(func_def_3730,type,
    sK2823: ( real * fun(real,real) ) > real ).

tff(func_def_3731,type,
    sK2824: 
      !>[X0: $tType,X1: $tType] : ( ( real * fun(X1,X0) * filter(X1) ) > real ) ).

tff(func_def_3732,type,
    sK2825: 
      !>[X0: $tType,X1: $tType] : ( ( real * fun(X1,X0) * set(X1) * X1 * fun(X1,X0) * fun(X1,real) ) > X1 ) ).

tff(func_def_3733,type,
    sK2826: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * filter(X1) ) > real ) ).

tff(func_def_3734,type,
    sK2827: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * filter(X1) ) > X0 ) ).

tff(func_def_3735,type,
    sK2828: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * filter(X1) ) > real ) ).

tff(func_def_3736,type,
    sK2829: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_3737,type,
    sK2830: 
      !>[X0: $tType] : ( ( set(X0) * real ) > X0 ) ).

tff(func_def_3738,type,
    sK2831: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > real ) ).

tff(func_def_3739,type,
    sK2832: 
      !>[X0: $tType] : ( ( fun(nat,X0) * real ) > nat ) ).

tff(func_def_3740,type,
    sK2833: 
      !>[X0: $tType] : ( ( fun(X0,$o) * X0 * set(X0) * real ) > X0 ) ).

tff(func_def_3741,type,
    sK2834: 
      !>[X0: $tType] : ( ( fun(X0,$o) * X0 * set(X0) ) > real ) ).

tff(func_def_3742,type,
    sK2835: 
      !>[X0: $tType] : ( ( fun(X0,$o) * X0 * real ) > X0 ) ).

tff(func_def_3743,type,
    sK2836: 
      !>[X0: $tType] : ( ( fun(X0,$o) * X0 ) > real ) ).

tff(func_def_3744,type,
    sK2837: 
      !>[X0: $tType] : ( ( fun(X0,X0) * X0 * set(X0) * real * fun(X0,X0) ) > X0 ) ).

tff(func_def_3745,type,
    sK2838: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * X1 * set(X1) * real * fun(X1,X0) ) > X1 ) ).

tff(func_def_3746,type,
    sK2839: 
      !>[X0: $tType] : ( fun(nat,X0) > real ) ).

tff(func_def_3747,type,
    sK2840: 
      !>[X0: $tType] : ( ( fun(nat,X0) * nat ) > nat ) ).

tff(func_def_3748,type,
    sK2841: 
      !>[X0: $tType] : ( ( fun(nat,X0) * nat ) > nat ) ).

tff(func_def_3749,type,
    sK2842: 
      !>[X0: $tType] : ( ( fun(nat,X0) * real ) > nat ) ).

tff(func_def_3750,type,
    sK2843: 
      !>[X0: $tType] : ( fun(nat,X0) > real ) ).

tff(func_def_3751,type,
    sK2844: 
      !>[X0: $tType] : ( ( fun(nat,X0) * nat ) > nat ) ).

tff(func_def_3752,type,
    sK2845: 
      !>[X0: $tType] : ( ( fun(nat,X0) * real ) > nat ) ).

tff(func_def_3753,type,
    sK2846: 
      !>[X0: $tType] : ( fun(nat,X0) > real ) ).

tff(func_def_3754,type,
    sK2847: 
      !>[X0: $tType] : ( ( fun(nat,X0) * nat ) > nat ) ).

tff(func_def_3755,type,
    sK2848: 
      !>[X0: $tType] : ( ( fun(nat,X0) * nat ) > nat ) ).

tff(func_def_3756,type,
    sK2849: 
      !>[X0: $tType] : ( ( fun(nat,X0) * real ) > nat ) ).

tff(func_def_3757,type,
    sK2850: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( fun(X2,X0) * X0 * X2 * fun(X2,X1) * X1 ) > X2 ) ).

tff(func_def_3758,type,
    sK2851: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * X1 * set(X1) * real * fun(X1,X0) ) > X1 ) ).

tff(func_def_3759,type,
    sK2852: 
      !>[X0: $tType] : ( ( fun(X0,$o) * X0 * set(X0) * real ) > X0 ) ).

tff(func_def_3760,type,
    sK2853: 
      !>[X0: $tType] : ( ( fun(X0,$o) * X0 * set(X0) ) > real ) ).

tff(func_def_3761,type,
    sK2854: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * X1 * set(X1) * real * fun(X1,X0) ) > X1 ) ).

tff(func_def_3762,type,
    sK2855: 
      !>[X0: $tType] : ( fun(nat,X0) > real ) ).

tff(func_def_3763,type,
    sK2856: 
      !>[X0: $tType] : ( ( fun(nat,X0) * nat ) > nat ) ).

tff(func_def_3764,type,
    sK2857: 
      !>[X0: $tType] : ( ( fun(nat,X0) * nat ) > nat ) ).

tff(func_def_3765,type,
    sK2858: 
      !>[X0: $tType] : ( ( fun(nat,X0) * real ) > nat ) ).

tff(func_def_3766,type,
    sK2859: 
      !>[X0: $tType] : ( fun(nat,X0) > real ) ).

tff(func_def_3767,type,
    sK2860: 
      !>[X0: $tType] : ( ( fun(nat,X0) * nat ) > nat ) ).

tff(func_def_3768,type,
    sK2861: 
      !>[X0: $tType] : ( ( fun(nat,X0) * nat ) > nat ) ).

tff(func_def_3769,type,
    sK2862: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * X0 * filter(X1) ) > real ) ).

tff(func_def_3770,type,
    sK2863: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * X0 * filter(X1) ) > real ) ).

tff(func_def_3771,type,
    sK2864: 
      !>[X0: $tType] : ( ( fun(nat,X0) * real ) > nat ) ).

tff(func_def_3772,type,
    sK2865: 
      !>[X0: $tType] : ( fun(nat,X0) > real ) ).

tff(func_def_3773,type,
    sK2866: 
      !>[X0: $tType] : ( ( real * fun(nat,X0) ) > nat ) ).

tff(func_def_3774,type,
    sK2867: 
      !>[X0: $tType] : ( fun(nat,X0) > real ) ).

tff(func_def_3775,type,
    sK2868: 
      !>[X0: $tType] : ( fun(nat,X0) > real ) ).

tff(func_def_3776,type,
    sK2869: 
      !>[X0: $tType] : ( ( fun(nat,X0) * nat ) > nat ) ).

tff(func_def_3777,type,
    sK2870: 
      !>[X0: $tType] : ( fun(nat,X0) > nat ) ).

tff(func_def_3778,type,
    sK2871: 
      !>[X0: $tType] : ( ( fun(nat,X0) * nat ) > nat ) ).

tff(func_def_3779,type,
    sK2872: 
      !>[X0: $tType] : ( fun(nat,X0) > nat ) ).

tff(func_def_3780,type,
    sK2873: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * X1 * real * fun(X1,X0) ) > X1 ) ).

tff(func_def_3781,type,
    sK2874: 
      !>[X0: $tType,X1: $tType] : ( ( X1 * fun(X1,X0) * X0 ) > real ) ).

tff(func_def_3782,type,
    sK2875: 
      !>[X0: $tType,X1: $tType] : ( ( X1 * fun(X1,X0) * X0 * real ) > X1 ) ).

tff(func_def_3783,type,
    sK2876: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * X0 * X1 * real ) > real ) ).

tff(func_def_3784,type,
    sK2877: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * X0 * X1 ) > real ) ).

tff(func_def_3785,type,
    sK2878: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * X0 * X1 * real ) > X1 ) ).

tff(func_def_3786,type,
    sK2879: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * X0 * X1 * real ) > real ) ).

tff(func_def_3787,type,
    sK2880: 
      !>[X0: $tType] : ( ( fun(nat,X0) * X0 ) > real ) ).

tff(func_def_3788,type,
    sK2881: 
      !>[X0: $tType] : ( ( fun(nat,X0) * X0 * nat ) > nat ) ).

tff(func_def_3789,type,
    sK2882: 
      !>[X0: $tType] : ( ( fun(nat,X0) * X0 * real ) > nat ) ).

tff(func_def_3790,type,
    sK2883: 
      !>[X0: $tType] : ( ( fun(nat,X0) * X0 ) > real ) ).

tff(func_def_3791,type,
    sK2884: 
      !>[X0: $tType] : ( ( fun(nat,X0) * X0 * nat ) > nat ) ).

tff(func_def_3792,type,
    sK2885: 
      !>[X0: $tType] : ( ( fun(nat,X0) * X0 * real ) > nat ) ).

tff(func_def_3793,type,
    sK2886: 
      !>[X0: $tType] : ( fun(nat,X0) > nat ) ).

tff(func_def_3794,type,
    sK2887: 
      !>[X0: $tType] : ( ( fun(nat,X0) * nat ) > nat ) ).

tff(func_def_3795,type,
    sK2888: 
      !>[X0: $tType] : ( ( fun(nat,X0) * nat ) > nat ) ).

tff(func_def_3796,type,
    sK2889: 
      !>[X0: $tType] : ( ( fun(nat,X0) * nat ) > nat ) ).

tff(func_def_3797,type,
    sK2890: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * X0 * X1 * real ) > X1 ) ).

tff(func_def_3798,type,
    sK2891: 
      !>[X0: $tType] : ( ( fun(nat,X0) * real * nat ) > nat ) ).

tff(func_def_3799,type,
    sK2892: 
      !>[X0: $tType] : ( fun(nat,X0) > real ) ).

tff(func_def_3800,type,
    sK2893: 
      !>[X0: $tType] : ( fun(nat,X0) > nat ) ).

tff(func_def_3801,type,
    sK2894: 
      !>[X0: $tType] : ( ( fun(nat,X0) * real * X0 ) > nat ) ).

tff(func_def_3802,type,
    sK2895: 
      !>[X0: $tType] : ( fun(nat,X0) > real ) ).

tff(func_def_3803,type,
    sK2896: 
      !>[X0: $tType] : ( fun(nat,X0) > X0 ) ).

tff(func_def_3804,type,
    sK2897: 
      !>[X0: $tType] : ( ( fun(nat,X0) * X0 ) > real ) ).

tff(func_def_3805,type,
    sK2898: 
      !>[X0: $tType] : ( ( fun(nat,X0) * X0 * nat ) > nat ) ).

tff(func_def_3806,type,
    sK2899: 
      !>[X0: $tType] : ( ( fun(nat,X0) * X0 * real ) > nat ) ).

tff(func_def_3807,type,
    sK2900: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * filter(X1) ) > real ) ).

tff(func_def_3808,type,
    sK2901: 
      !>[X0: $tType] : ( set(X0) > real ) ).

tff(func_def_3809,type,
    sK2902: 
      !>[X0: $tType] : ( ( set(X0) * real ) > set(X0) ) ).

tff(func_def_3810,type,
    sK2903: 
      !>[X0: $tType] : ( ( fun(X0,$o) * X0 ) > X0 ) ).

tff(func_def_3811,type,
    sK2904: 
      !>[X0: $tType] : ( fun(X0,$o) > X0 ) ).

tff(func_def_3812,type,
    sK2905: 
      !>[X0: $tType] : ( ( fun(X0,$o) * X0 ) > X0 ) ).

tff(func_def_3813,type,
    sK2906: 
      !>[X0: $tType] : ( fun(X0,$o) > X0 ) ).

tff(func_def_3814,type,
    sK2907: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * filter(X1) ) > X0 ) ).

tff(func_def_3815,type,
    sK2908: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * filter(X1) * X0 ) > X0 ) ).

tff(func_def_3816,type,
    sK2909: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * filter(X1) ) > X0 ) ).

tff(func_def_3817,type,
    sK2910: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * filter(X1) * X0 ) > X0 ) ).

tff(func_def_3818,type,
    sK2911: ( real * fun(real,real) ) > real ).

tff(func_def_3819,type,
    sK2912: 
      !>[X0: $tType] : ( ( fun(X0,$o) * X0 * X0 ) > X0 ) ).

tff(func_def_3820,type,
    sK2913: 
      !>[X0: $tType] : ( ( fun(X0,$o) * X0 ) > X0 ) ).

tff(func_def_3821,type,
    sK2914: 
      !>[X0: $tType] : ( ( X0 * fun(X0,$o) * X0 ) > X0 ) ).

tff(func_def_3822,type,
    sK2915: 
      !>[X0: $tType] : ( ( X0 * fun(X0,$o) ) > X0 ) ).

tff(func_def_3823,type,
    sK2916: 
      !>[X0: $tType] : ( ( X0 * X0 ) > X0 ) ).

tff(func_def_3824,type,
    sK2917: 
      !>[X0: $tType] : ( ( X0 * X0 ) > X0 ) ).

tff(func_def_3825,type,
    sK2918: 
      !>[X0: $tType] : ( ( X0 * X0 * fun(X0,$o) ) > X0 ) ).

tff(func_def_3826,type,
    sK2919: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * fun(X1,$o) ) > X1 ) ).

tff(func_def_3827,type,
    sK2920: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * fun(X1,$o) ) > X1 ) ).

tff(func_def_3828,type,
    sK2921: 
      !>[X0: $tType] : ( ( fun(X0,$o) * X0 ) > X0 ) ).

tff(func_def_3829,type,
    sK2922: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,$o) * fun(X0,$o) * fun(X0,X1) ) > X0 ) ).

tff(func_def_3830,type,
    sK2923: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * fun(X0,$o) * fun(X0,X1) ) > X0 ) ).

tff(func_def_3831,type,
    sK2924: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_3832,type,
    sK2925: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_3833,type,
    sK2926: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_3834,type,
    sK2927: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_3835,type,
    sK2928: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_3836,type,
    sK2929: 
      !>[X0: $tType] : ( ( X0 * X0 * fun(X0,$o) ) > fun(nat,X0) ) ).

tff(func_def_3837,type,
    sK2930: 
      !>[X0: $tType,X1: $tType] : ( fun(X1,X0) > X1 ) ).

tff(func_def_3838,type,
    sK2931: 
      !>[X0: $tType,X1: $tType] : ( fun(X1,X0) > X1 ) ).

tff(func_def_3839,type,
    sK2932: 
      !>[X0: $tType,X1: $tType] : ( fun(X1,X0) > X1 ) ).

tff(func_def_3840,type,
    sK2933: 
      !>[X0: $tType,X1: $tType] : ( fun(X1,X0) > X1 ) ).

tff(func_def_3841,type,
    sK2934: 
      !>[X0: $tType] : ( fun(nat,X0) > nat ) ).

tff(func_def_3842,type,
    sK2935: 
      !>[X0: $tType] : ( fun(nat,X0) > nat ) ).

tff(func_def_3843,type,
    sK2936: 
      !>[X0: $tType] : ( fun(nat,X0) > nat ) ).

tff(func_def_3844,type,
    sK2937: 
      !>[X0: $tType] : ( fun(nat,X0) > nat ) ).

tff(func_def_3845,type,
    sK2938: ( fun(nat,real) * real ) > nat ).

tff(func_def_3846,type,
    sK2939: fun(nat,real) > real ).

tff(func_def_3847,type,
    sK2940: ( fun(nat,real) * real ) > nat ).

tff(func_def_3848,type,
    sK2941: 
      !>[X0: $tType,X1: $tType] : ( ( X1 * X1 * fun(X1,X0) * X0 ) > fun(nat,X1) ) ).

tff(func_def_3849,type,
    sK2942: 
      !>[X0: $tType] : ( filter(X0) > real ) ).

tff(func_def_3850,type,
    sK2943: 
      !>[X0: $tType] : ( ( filter(X0) * fun(X0,$o) ) > X0 ) ).

tff(func_def_3851,type,
    sK2944: 
      !>[X0: $tType] : ( ( filter(X0) * fun(X0,$o) ) > X0 ) ).

tff(func_def_3852,type,
    sK2945: 
      !>[X0: $tType] : ( ( filter(X0) * real ) > fun(X0,$o) ) ).

tff(func_def_3853,type,
    sK2946: 
      !>[X0: $tType] : ( ( fun(X0,$o) * list(X0) ) > X0 ) ).

tff(func_def_3854,type,
    sK2947: 
      !>[X0: $tType] : ( ( fun(X0,$o) * list(X0) ) > X0 ) ).

tff(func_def_3855,type,
    sK2948: 
      !>[X0: $tType] : ( list(X0) > X0 ) ).

tff(func_def_3856,type,
    sK2949: 
      !>[X0: $tType] : ( list(X0) > list(X0) ) ).

tff(func_def_3857,type,
    sK2950: 
      !>[X0: $tType] : ( set(product_prod(X0,X0)) > X0 ) ).

tff(func_def_3858,type,
    sK2951: 
      !>[X0: $tType] : ( set(product_prod(X0,X0)) > X0 ) ).

tff(func_def_3859,type,
    sK2952: 
      !>[X0: $tType] : ( set(product_prod(X0,X0)) > X0 ) ).

tff(func_def_3860,type,
    sK2953: 
      !>[X0: $tType] : ( ( X0 * X0 * nat * set(product_prod(X0,X0)) ) > X0 ) ).

tff(func_def_3861,type,
    sK2954: 
      !>[X0: $tType] : ( ( X0 * X0 * nat * set(product_prod(X0,X0)) ) > X0 ) ).

tff(func_def_3862,type,
    sK2955: 
      !>[X0: $tType] : ( ( X0 * X0 * nat * set(product_prod(X0,X0)) ) > X0 ) ).

tff(func_def_3863,type,
    sK2956: 
      !>[X0: $tType] : ( ( X0 * X0 * nat * set(product_prod(X0,X0)) ) > X0 ) ).

tff(func_def_3864,type,
    sK2957: 
      !>[X0: $tType] : ( ( X0 * X0 * nat * set(product_prod(X0,X0)) ) > nat ) ).

tff(func_def_3865,type,
    sK2958: 
      !>[X0: $tType] : ( ( X0 * X0 * nat * set(product_prod(X0,X0)) ) > X0 ) ).

tff(func_def_3866,type,
    sK2959: 
      !>[X0: $tType] : ( ( X0 * X0 * nat * set(product_prod(X0,X0)) ) > nat ) ).

tff(func_def_3867,type,
    sK2960: 
      !>[X0: $tType] : ( ( list(X0) * set(product_prod(X0,X0)) ) > X0 ) ).

tff(func_def_3868,type,
    sK2961: 
      !>[X0: $tType] : ( ( list(X0) * set(product_prod(X0,X0)) ) > X0 ) ).

tff(func_def_3869,type,
    sK2962: 
      !>[X0: $tType] : ( ( list(X0) * set(product_prod(X0,X0)) ) > X0 ) ).

tff(func_def_3870,type,
    sK2963: 
      !>[X0: $tType] : ( set(product_prod(X0,X0)) > X0 ) ).

tff(func_def_3871,type,
    sK2964: 
      !>[X0: $tType] : ( ( nat * set(product_prod(X0,X0)) * fun(nat,X0) ) > nat ) ).

tff(func_def_3872,type,
    sK2965: 
      !>[X0: $tType] : ( ( X0 * X0 * nat * set(product_prod(X0,X0)) ) > fun(nat,X0) ) ).

tff(func_def_3873,type,
    sK2966: 
      !>[X0: $tType] : ( ( list(X0) * set(product_prod(X0,X0)) ) > X0 ) ).

tff(func_def_3874,type,
    sK2967: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * X0 * X0 ) > X0 ) ).

tff(func_def_3875,type,
    sK2968: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * X0 * X1 * X0 ) > X0 ) ).

tff(func_def_3876,type,
    sK2969: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * X0 * X0 ) > X0 ) ).

tff(func_def_3877,type,
    sK2970: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * X0 * X1 * X0 ) > X0 ) ).

tff(func_def_3878,type,
    sK2971: ( fun(real,real) * real * real ) > real ).

tff(func_def_3879,type,
    sK2972: ( fun(real,real) * real * real ) > real ).

tff(func_def_3880,type,
    sK2973: ( fun(real,real) * real * real * real ) > real ).

tff(func_def_3881,type,
    sK2974: ( real * real * fun(real,real) ) > real ).

tff(func_def_3882,type,
    sK2975: 
      !>[X0: $tType] : ( ( product_prod(X0,X0) * set(product_prod(X0,X0)) ) > nat ) ).

tff(func_def_3883,type,
    sK2976: 
      !>[X0: $tType] : ( ( real * real * fun(real,X0) ) > X0 ) ).

tff(func_def_3884,type,
    sK2977: 
      !>[X0: $tType] : ( ( real * real * fun(real,X0) ) > real ) ).

tff(func_def_3885,type,
    sK2978: 
      !>[X0: $tType] : ( ( fun(real,X0) * real * real ) > X0 ) ).

tff(func_def_3886,type,
    sK2979: 
      !>[X0: $tType] : ( ( fun(real,X0) * real * real ) > real ) ).

tff(func_def_3887,type,
    sK2980: 
      !>[X0: $tType] : ( ( real * real * fun(real,X0) ) > real ) ).

tff(func_def_3888,type,
    sK2981: 
      !>[X0: $tType] : ( ( fun(real,X0) * real * real ) > X0 ) ).

tff(func_def_3889,type,
    sK2982: 
      !>[X0: $tType] : ( ( fun(real,X0) * real * real ) > real ) ).

tff(func_def_3890,type,
    sK2983: 
      !>[X0: $tType] : ( ( real * real * fun(real,X0) ) > real ) ).

tff(func_def_3891,type,
    sK2984: ( fun(real,real) * fun(real,real) * real * real ) > real ).

tff(func_def_3892,type,
    sK2985: ( real * real * fun(real,real) ) > real ).

tff(func_def_3893,type,
    sK2986: 
      !>[X0: $tType] : ( ( fun(real,X0) * real * real ) > X0 ) ).

tff(func_def_3894,type,
    sK2987: 
      !>[X0: $tType] : ( ( fun(real,X0) * real * real * X0 ) > real ) ).

tff(func_def_3895,type,
    sK2988: 
      !>[X0: $tType] : ( ( real * real * fun(real,X0) ) > real ) ).

tff(func_def_3896,type,
    sK2989: ( fun(real,real) * fun(real,real) * real * real ) > real ).

tff(func_def_3897,type,
    sK2990: 
      !>[X0: $tType] : ( fun(nat,X0) > X0 ) ).

tff(func_def_3898,type,
    sK2991: ( real * real * fun(real,real) ) > real ).

tff(func_def_3899,type,
    sK2992: ( real * real * fun(real,real) ) > real ).

tff(func_def_3900,type,
    sK2993: ( real * real * fun(real,real) * fun(real,real) ) > real ).

tff(func_def_3901,type,
    sK2994: ( fun(real,real) * fun(real,real) * real * real ) > real ).

tff(func_def_3902,type,
    sK2995: ( fun(real,real) * fun(real,real) * real * real ) > real ).

tff(func_def_3903,type,
    sK2996: ( fun(real,real) * real * real ) > real ).

tff(func_def_3904,type,
    sK2997: ( fun(real,real) * real * real ) > real ).

tff(func_def_3905,type,
    sK2998: ( real * real * fun(real,real) * fun(real,real) * fun(real,real) * fun(real,real) ) > real ).

tff(func_def_3906,type,
    sK2999: 
      !>[X0: $tType,X1: $tType] : ( ( X1 * fun(X1,X0) * real ) > X1 ) ).

tff(func_def_3907,type,
    sK3000: 
      !>[X0: $tType,X1: $tType] : ( ( X1 * fun(X1,X0) * real ) > X1 ) ).

tff(func_def_3908,type,
    sK3001: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * set(X1) * fun(X1,set(X0)) ) > set(X1) ) ).

tff(func_def_3909,type,
    sK3002: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,set(X0)) ) > X1 ) ).

tff(func_def_3910,type,
    sK3003: ( fun(real,real) * real * real ) > real ).

tff(func_def_3911,type,
    sK3004: ( fun(real,real) * real * real ) > real ).

tff(func_def_3912,type,
    sK3005: ( fun(real,real) * real * real ) > real ).

tff(func_def_3913,type,
    sK3006: ( fun(real,real) * fun(real,real) * real * real ) > real ).

tff(func_def_3914,type,
    sK3007: ( fun(real,real) * fun(real,real) * real * real ) > real ).

tff(func_def_3915,type,
    sK3008: ( fun(real,real) * fun(real,real) * real * real ) > real ).

tff(func_def_3916,type,
    sK3009: ( real * real * fun(real,real) ) > real ).

tff(func_def_3917,type,
    sK3010: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_3918,type,
    sK3011: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_3919,type,
    sK3012: 
      !>[X0: $tType] : ( set(X0) > set(set(X0)) ) ).

tff(func_def_3920,type,
    sK3013: 
      !>[X0: $tType] : ( ( set(X0) * set(set(X0)) ) > set(set(X0)) ) ).

tff(func_def_3921,type,
    sK3014: 
      !>[X0: $tType] : ( set(set(X0)) > set(X0) ) ).

tff(func_def_3922,type,
    sK3015: 
      !>[X0: $tType] : ( set(X0) > set(set(X0)) ) ).

tff(func_def_3923,type,
    sK3016: 
      !>[X0: $tType] : ( ( set(X0) * set(set(X0)) ) > set(set(X0)) ) ).

tff(func_def_3924,type,
    sK3017: 
      !>[X0: $tType] : ( set(set(X0)) > set(X0) ) ).

tff(func_def_3925,type,
    sK3018: ( real * real * fun(real,real) ) > real ).

tff(func_def_3926,type,
    sK3019: ( real * real * fun(real,real) ) > real ).

tff(func_def_3927,type,
    sK3020: ( real * real * fun(real,real) ) > real ).

tff(func_def_3928,type,
    sK3021: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_3929,type,
    sK3022: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * X0 * X1 * X0 ) > X0 ) ).

tff(func_def_3930,type,
    sK3023: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * X0 * X1 * X0 ) > X0 ) ).

tff(func_def_3931,type,
    sK3024: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * set(X1) ) > X1 ) ).

tff(func_def_3932,type,
    sK3025: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * set(X1) ) > X1 ) ).

tff(func_def_3933,type,
    sK3026: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_3934,type,
    sK3027: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_3935,type,
    sK3028: 
      !>[X0: $tType] : ( ( set(X0) * fun(X0,real) * fun(X0,real) ) > set(X0) ) ).

tff(func_def_3936,type,
    sK3029: ( set(real) * fun(real,real) ) > real ).

tff(func_def_3937,type,
    sK3030: ( real * real * fun(real,real) ) > real ).

tff(func_def_3938,type,
    sK3031: ( real * real * fun(real,real) ) > real ).

tff(func_def_3939,type,
    sK3032: 
      !>[X0: $tType] : ( ( set(X0) * fun(X0,real) ) > set(X0) ) ).

tff(func_def_3940,type,
    sK3033: 
      !>[X0: $tType] : ( ( set(X0) * fun(X0,real) * fun(X0,real) ) > X0 ) ).

tff(func_def_3941,type,
    sK3034: 
      !>[X0: $tType] : ( ( set(X0) * fun(X0,real) ) > X0 ) ).

tff(func_def_3942,type,
    sK3035: 
      !>[X0: $tType] : ( ( set(X0) * fun(X0,real) ) > X0 ) ).

tff(func_def_3943,type,
    sK3036: 
      !>[X0: $tType] : ( ( set(X0) * fun(X0,real) ) > X0 ) ).

tff(func_def_3944,type,
    sK3037: 
      !>[X0: $tType] : ( ( set(X0) * fun(X0,real) ) > X0 ) ).

tff(func_def_3945,type,
    sK3038: 
      !>[X0: $tType] : ( ( set(X0) * fun(X0,real) ) > X0 ) ).

tff(func_def_3946,type,
    sK3039: 
      !>[X0: $tType] : ( ( X0 * X0 * fun(X0,X0) ) > X0 ) ).

tff(func_def_3947,type,
    sK3040: ( set(real) * fun(real,real) ) > real ).

tff(func_def_3948,type,
    sK3041: ( fun(real,fun(real,real)) * fun(real,real) * real * real ) > real ).

tff(func_def_3949,type,
    sK3042: ( real * real * fun(real,fun(real,real)) ) > real ).

tff(func_def_3950,type,
    sK3043: ( fun(real,fun(real,real)) * fun(real,real) * real * real ) > real ).

tff(func_def_3951,type,
    sK3044: ( real * real * fun(real,real) * fun(real,fun(real,real)) ) > real ).

tff(func_def_3952,type,
    sK3045: ( real * real * fun(real,real) ) > real ).

tff(func_def_3953,type,
    sK3046: ( real * real * fun(real,real) ) > real ).

tff(func_def_3954,type,
    sK3047: ( real * real * fun(real,real) ) > real ).

tff(func_def_3955,type,
    sK3048: ( real * real * fun(real,real) ) > real ).

tff(func_def_3956,type,
    sK3049: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * X1 * X1 ) > X1 ) ).

tff(func_def_3957,type,
    sK3050: ( fun(real,real) * real * real ) > real ).

tff(func_def_3958,type,
    sK3051: ( real * real * fun(real,real) ) > real ).

tff(func_def_3959,type,
    sK3052: 
      !>[X0: $tType] : ( ( X0 * list(X0) * list(X0) * set(product_prod(X0,X0)) ) > list(X0) ) ).

tff(func_def_3960,type,
    sK3053: 
      !>[X0: $tType] : ( ( X0 * list(X0) * list(X0) * set(product_prod(X0,X0)) ) > X0 ) ).

tff(func_def_3961,type,
    sK3054: 
      !>[X0: $tType] : ( ( list(X0) * X0 * list(X0) * set(product_prod(X0,X0)) ) > list(X0) ) ).

tff(func_def_3962,type,
    sK3055: 
      !>[X0: $tType] : ( ( list(X0) * X0 * list(X0) * set(product_prod(X0,X0)) ) > X0 ) ).

tff(func_def_3963,type,
    sK3056: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) * set(product_prod(X0,X0)) ) > X0 ) ).

tff(func_def_3964,type,
    sK3057: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) * set(product_prod(X0,X0)) ) > X0 ) ).

tff(func_def_3965,type,
    sK3058: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) * set(product_prod(X0,X0)) ) > list(X0) ) ).

tff(func_def_3966,type,
    sK3059: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) * set(product_prod(X0,X0)) ) > list(X0) ) ).

tff(func_def_3967,type,
    sK3060: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) * set(product_prod(X0,X0)) ) > X0 ) ).

tff(func_def_3968,type,
    sK3061: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) * set(product_prod(X0,X0)) ) > nat ) ).

tff(func_def_3969,type,
    sK3062: 
      !>[X0: $tType] : ( ( X0 * X0 * fun(X0,$o) ) > fun(nat,X0) ) ).

tff(func_def_3970,type,
    sK3063: 
      !>[X0: $tType] : ( fun(nat,X0) > nat ) ).

tff(func_def_3971,type,
    sK3064: 
      !>[X0: $tType] : ( fun(nat,X0) > nat ) ).

tff(func_def_3972,type,
    sK3065: 
      !>[X0: $tType] : ( fun(nat,X0) > nat ) ).

tff(func_def_3973,type,
    sK3066: 
      !>[X0: $tType] : ( fun(nat,X0) > nat ) ).

tff(func_def_3974,type,
    sK3067: 
      !>[X0: $tType,X1: $tType] : ( fun(X1,X0) > X1 ) ).

tff(func_def_3975,type,
    sK3068: 
      !>[X0: $tType,X1: $tType] : ( fun(X1,X0) > X1 ) ).

tff(func_def_3976,type,
    sK3069: 
      !>[X0: $tType,X1: $tType] : ( fun(X1,X0) > X1 ) ).

tff(func_def_3977,type,
    sK3070: 
      !>[X0: $tType,X1: $tType] : ( fun(X1,X0) > X1 ) ).

tff(func_def_3978,type,
    sK3071: ( fun(nat,real) * real ) > nat ).

tff(func_def_3979,type,
    sK3072: fun(nat,real) > real ).

tff(func_def_3980,type,
    sK3073: ( fun(nat,real) * real ) > nat ).

tff(func_def_3981,type,
    sK3074: 
      !>[X0: $tType] : ( fun(nat,X0) > nat ) ).

tff(func_def_3982,type,
    sK3075: 
      !>[X0: $tType] : ( fun(nat,X0) > nat ) ).

tff(func_def_3983,type,
    sK3076: 
      !>[X0: $tType,X1: $tType] : ( ( X1 * X1 * fun(X1,X0) * X0 ) > fun(nat,X1) ) ).

tff(func_def_3984,type,
    sK3077: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) * fun(nat,nat) ) > nat ) ).

tff(func_def_3985,type,
    sK3078: 
      !>[X0: $tType] : ( ( list(X0) * fun(nat,nat) ) > nat ) ).

tff(func_def_3986,type,
    sK3079: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) ) > fun(nat,nat) ) ).

tff(func_def_3987,type,
    sK3080: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * set(X0) * fun(X0,set(X1)) ) > set(X0) ) ).

tff(func_def_3988,type,
    sK3081: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,set(X1)) ) > X0 ) ).

tff(func_def_3989,type,
    sK3082: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) ) > X0 ) ).

tff(func_def_3990,type,
    sK3083: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) ) > X0 ) ).

tff(func_def_3991,type,
    sK3084: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) ) > list(X0) ) ).

tff(func_def_3992,type,
    sK3085: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) ) > X0 ) ).

tff(func_def_3993,type,
    sK3086: 
      !>[X0: $tType] : ( ( set(X0) * set(set(X0)) ) > set(set(X0)) ) ).

tff(func_def_3994,type,
    sK3087: 
      !>[X0: $tType] : ( set(set(X0)) > set(X0) ) ).

tff(func_def_3995,type,
    sK3088: 
      !>[X0: $tType] : ( set(X0) > set(set(X0)) ) ).

tff(func_def_3996,type,
    sK3089: 
      !>[X0: $tType] : ( ( set(X0) * set(set(X0)) ) > set(set(X0)) ) ).

tff(func_def_3997,type,
    sK3090: 
      !>[X0: $tType] : ( set(set(X0)) > set(X0) ) ).

tff(func_def_3998,type,
    sK3091: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) ) > X0 ) ).

tff(func_def_3999,type,
    sK3092: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) ) > X0 ) ).

tff(func_def_4000,type,
    sK3093: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) ) > X0 ) ).

tff(func_def_4001,type,
    sK3094: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) ) > list(X0) ) ).

tff(func_def_4002,type,
    sK3095: fun(nat,real) > nat ).

tff(func_def_4003,type,
    sK3096: 
      !>[X0: $tType,X1: $tType] : ( fun(X1,X0) > X1 ) ).

tff(func_def_4004,type,
    sK3097: 
      !>[X0: $tType,X1: $tType] : ( fun(X1,X0) > X1 ) ).

tff(func_def_4005,type,
    sK3098: 
      !>[X0: $tType,X1: $tType] : ( fun(X1,X0) > X1 ) ).

tff(func_def_4006,type,
    sK3099: 
      !>[X0: $tType,X1: $tType] : ( fun(X1,X0) > X1 ) ).

tff(func_def_4007,type,
    sK3100: 
      !>[X0: $tType] : ( fun(nat,X0) > nat ) ).

tff(func_def_4008,type,
    sK3101: 
      !>[X0: $tType] : ( fun(nat,X0) > nat ) ).

tff(func_def_4009,type,
    sK3102: 
      !>[X0: $tType] : ( fun(nat,X0) > nat ) ).

tff(func_def_4010,type,
    sK3103: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * set(X1) ) > X1 ) ).

tff(func_def_4011,type,
    sK3104: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * set(X1) ) > X1 ) ).

tff(func_def_4012,type,
    sK3105: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_4013,type,
    sK3106: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_4014,type,
    sK3107: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X1,X0) * set(X1) ) > set(X1) ) ).

tff(func_def_4015,type,
    sK3108: 
      !>[X0: $tType,X1: $tType] : ( fun(X1,X0) > X1 ) ).

tff(func_def_4016,type,
    sK3109: 
      !>[X0: $tType,X1: $tType] : ( fun(X1,X0) > X1 ) ).

tff(func_def_4017,type,
    sK3110: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * set(X0) ) > fun(X1,X0) ) ).

tff(func_def_4018,type,
    sK3111: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * set(X0) ) > fun(X0,X1) ) ).

tff(func_def_4019,type,
    sK3112: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( set(X2) * fun(X2,set(X1)) * fun(X1,X0) ) > X2 ) ).

tff(func_def_4020,type,
    sK3113: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,set(X0)) ) > X1 ) ).

tff(func_def_4021,type,
    sK3114: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,set(X0)) ) > X1 ) ).

tff(func_def_4022,type,
    sK3115: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,X0) * X0 ) > X1 ) ).

tff(func_def_4023,type,
    sK3116: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * set(X0) * fun(X1,X0) ) > X0 ) ).

tff(func_def_4024,type,
    sK3117: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * set(X1) * fun(X1,set(X0)) ) > X1 ) ).

tff(func_def_4025,type,
    sK3118: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * set(X1) ) > fun(X0,X1) ) ).

tff(func_def_4026,type,
    sK3119: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * set(X0) ) > fun(X1,X0) ) ).

tff(func_def_4027,type,
    sK3120: 
      !>[X0: $tType] : ( ( fun(X0,X0) * X0 ) > nat ) ).

tff(func_def_4028,type,
    sK3121: fun(real,real) > real ).

tff(func_def_4029,type,
    sK3122: ( fun(real,real) * fun(real,real) ) > real ).

tff(func_def_4030,type,
    sK3123: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * set(X1) ) > fun(X0,X1) ) ).

tff(func_def_4031,type,
    sK3124: ( set(nat) * nat ) > nat ).

tff(func_def_4032,type,
    sK3125: 
      !>[X0: $tType] : ( set(X0) > nat ) ).

tff(func_def_4033,type,
    sK3126: 
      !>[X0: $tType] : ( set(X0) > fun(nat,X0) ) ).

tff(func_def_4034,type,
    sK3127: 
      !>[X0: $tType] : ( set(X0) > fun(X0,nat) ) ).

tff(func_def_4035,type,
    sK3128: 
      !>[X0: $tType] : ( set(X0) > nat ) ).

tff(func_def_4036,type,
    sK3129: 
      !>[X0: $tType] : ( ( list(X0) * set(nat) ) > nat ) ).

tff(func_def_4037,type,
    sK3130: 
      !>[X0: $tType] : ( set(X0) > fun(nat,X0) ) ).

tff(func_def_4038,type,
    sK3131: 
      !>[X0: $tType] : ( set(X0) > fun(nat,X0) ) ).

tff(func_def_4039,type,
    sK3132: 
      !>[X0: $tType] : ( ( nat * fun(X0,X0) * X0 ) > nat ) ).

tff(func_def_4040,type,
    sK3133: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * set(X1) * fun(set(X0),$o) ) > set(X0) ) ).

tff(func_def_4041,type,
    sK3134: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * set(X1) * fun(set(X0),$o) ) > set(X1) ) ).

tff(func_def_4042,type,
    sK3135: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * set(X1) * fun(set(X0),$o) ) > set(X1) ) ).

tff(func_def_4043,type,
    sK3136: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * set(X1) * fun(set(X0),$o) ) > set(X0) ) ).

tff(func_def_4044,type,
    sK3137: ( fun(nat,real) * fun(nat,nat) ) > nat ).

tff(func_def_4045,type,
    sK3138: fun(nat,real) > nat ).

tff(func_def_4046,type,
    sK3139: 
      !>[X0: $tType,X1: $tType] : ( fun(X1,X0) > X1 ) ).

tff(func_def_4047,type,
    sK3140: 
      !>[X0: $tType,X1: $tType] : ( fun(X1,X0) > X1 ) ).

tff(func_def_4048,type,
    sK3141: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( set(X2) * fun(X2,X0) * fun(X0,X1) ) > X2 ) ).

tff(func_def_4049,type,
    sK3142: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( set(X2) * fun(X2,X0) * fun(X0,X1) ) > X2 ) ).

tff(func_def_4050,type,
    sK3143: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( set(X2) * fun(X0,X1) * fun(X2,X0) ) > X2 ) ).

tff(func_def_4051,type,
    sK3144: fun(nat,real) > nat ).

tff(func_def_4052,type,
    sK3145: fun(nat,real) > nat ).

tff(func_def_4053,type,
    sK3146: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * set(set(X1)) ) > set(X1) ) ).

tff(func_def_4054,type,
    sK3147: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * set(set(X1)) ) > set(X1) ) ).

tff(func_def_4055,type,
    sK3148: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * set(set(X1)) ) > X1 ) ).

tff(func_def_4056,type,
    sK3149: 
      !>[X0: $tType] : ( set(set(X0)) > set(X0) ) ).

tff(func_def_4057,type,
    sK3150: 
      !>[X0: $tType,X1: $tType] : ( ( list(X1) * fun(X1,list(X0)) * fun(X1,list(X0)) ) > X1 ) ).

tff(func_def_4058,type,
    sK3151: 
      !>[X0: $tType,X1: $tType,X2: $tType,X3: $tType] : ( ( set(X0) * fun(X2,set(X1)) * fun(X3,X1) * fun(X0,set(X3)) * set(X2) ) > X2 ) ).

tff(func_def_4059,type,
    sK3152: 
      !>[X0: $tType,X1: $tType,X2: $tType,X3: $tType] : ( ( set(X0) * fun(X2,set(X1)) * fun(X3,X1) * fun(X0,set(X3)) * set(X2) * X0 ) > X3 ) ).

tff(func_def_4060,type,
    sK3153: 
      !>[X0: $tType,X1: $tType,X2: $tType,X3: $tType] : ( ( set(X0) * fun(X2,set(X1)) * fun(X3,X1) * fun(X0,set(X3)) * X2 ) > X0 ) ).

tff(func_def_4061,type,
    sK3154: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,set(X1)) ) > X0 ) ).

tff(func_def_4062,type,
    sK3155: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,set(X1)) ) > X0 ) ).

tff(func_def_4063,type,
    sK3156: 
      !>[X0: $tType] : ( set(X0) > filter(X0) ) ).

tff(func_def_4064,type,
    sK3157: 
      !>[X0: $tType] : ( ( set(X0) * filter(X0) ) > X0 ) ).

tff(func_def_4065,type,
    sK3158: 
      !>[X0: $tType] : ( fun(nat,X0) > fun(product_prod(X0,X0),$o) ) ).

tff(func_def_4066,type,
    sK3159: 
      !>[X0: $tType] : ( ( fun(nat,X0) * nat ) > nat ) ).

tff(func_def_4067,type,
    sK3160: 
      !>[X0: $tType] : ( ( fun(nat,X0) * nat ) > nat ) ).

tff(func_def_4068,type,
    sK3161: 
      !>[X0: $tType] : ( ( fun(nat,X0) * fun(product_prod(X0,X0),$o) ) > nat ) ).

tff(func_def_4069,type,
    sK3162: 
      !>[X0: $tType] : ( ( fun(product_prod(X0,X0),$o) * real ) > X0 ) ).

tff(func_def_4070,type,
    sK3163: 
      !>[X0: $tType] : ( ( fun(product_prod(X0,X0),$o) * real ) > X0 ) ).

tff(func_def_4071,type,
    sK3164: 
      !>[X0: $tType] : ( fun(product_prod(X0,X0),$o) > real ) ).

tff(func_def_4072,type,
    sK3165: 
      !>[X0: $tType] : ( X0 > nat ) ).

tff(func_def_4073,type,
    sK3166: 
      !>[X0: $tType] : ( fun(X0,$o) > nat ) ).

tff(func_def_4074,type,
    sK3167: fun(rat,$o) > int ).

tff(func_def_4075,type,
    sK3168: fun(rat,$o) > int ).

tff(func_def_4076,type,
    sK3169: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) ) > nat ) ).

tff(func_def_4077,type,
    sK3170: 
      !>[X0: $tType] : ( ( nat * list(X0) * list(X0) ) > nat ) ).

tff(func_def_4078,type,
    sK3171: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) * set(product_prod(X0,X0)) ) > nat ) ).

tff(func_def_4079,type,
    sK3172: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) ) > list(X0) ) ).

tff(func_def_4080,type,
    sK3173: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) ) > list(X0) ) ).

tff(func_def_4081,type,
    sK3174: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) ) > list(X0) ) ).

tff(func_def_4082,type,
    sK3175: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) * set(product_prod(X0,X0)) ) > nat ) ).

tff(func_def_4083,type,
    sK3176: 
      !>[X0: $tType] : ( list(X0) > X0 ) ).

tff(func_def_4084,type,
    sK3177: 
      !>[X0: $tType] : ( list(X0) > X0 ) ).

tff(func_def_4085,type,
    sK3178: 
      !>[X0: $tType,X1: $tType] : ( ( list(X0) * list(X1) * fun(list(product_prod(X0,X1)),$o) ) > list(X0) ) ).

tff(func_def_4086,type,
    sK3179: 
      !>[X0: $tType,X1: $tType] : ( ( list(X0) * list(X1) * fun(list(product_prod(X0,X1)),$o) ) > list(X1) ) ).

tff(func_def_4087,type,
    sK3180: 
      !>[X0: $tType,X1: $tType] : ( ( list(X0) * list(X1) * fun(list(product_prod(X0,X1)),$o) ) > nat ) ).

tff(func_def_4088,type,
    sK3181: 
      !>[X0: $tType,X1: $tType] : ( ( list(X0) * list(X1) * product_prod(X0,X1) * list(product_prod(X0,X1)) ) > X0 ) ).

tff(func_def_4089,type,
    sK3182: 
      !>[X0: $tType,X1: $tType] : ( ( list(X0) * list(X1) * product_prod(X0,X1) * list(product_prod(X0,X1)) ) > list(X0) ) ).

tff(func_def_4090,type,
    sK3183: 
      !>[X0: $tType,X1: $tType] : ( ( list(X0) * list(X1) * product_prod(X0,X1) * list(product_prod(X0,X1)) ) > X1 ) ).

tff(func_def_4091,type,
    sK3184: 
      !>[X0: $tType,X1: $tType] : ( ( list(X0) * list(X1) * product_prod(X0,X1) * list(product_prod(X0,X1)) ) > list(X1) ) ).

tff(func_def_4092,type,
    sK3185: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) ) > product_prod(X0,X0) ) ).

tff(func_def_4093,type,
    sK3186: 
      !>[X0: $tType,X1: $tType] : ( ( list(X0) * list(X1) * X1 ) > X0 ) ).

tff(func_def_4094,type,
    sK3187: 
      !>[X0: $tType,X1: $tType] : ( ( list(X0) * list(X1) * X0 ) > X1 ) ).

tff(func_def_4095,type,
    sK3188: 
      !>[X0: $tType] : ( ( list(list(X0)) * list(list(X0)) ) > product_prod(list(X0),list(X0)) ) ).

tff(func_def_4096,type,
    sK3189: 
      !>[X0: $tType] : ( ( list(list(X0)) * list(list(X0)) ) > product_prod(list(X0),list(X0)) ) ).

tff(func_def_4097,type,
    sK3190: 
      !>[X0: $tType,X1: $tType] : ( ( product_prod(X0,X1) * list(X0) * list(X1) ) > nat ) ).

tff(func_def_4098,type,
    sK3191: 
      !>[X0: $tType,X1: $tType] : ( ( list(X1) * list(X0) * set(product_prod(X1,X0)) ) > product_prod(X1,X0) ) ).

tff(func_def_4099,type,
    sK3192: 
      !>[X0: $tType,X1: $tType] : ( ( list(X1) * X0 * list(X0) * set(product_prod(X1,X0)) ) > X1 ) ).

tff(func_def_4100,type,
    sK3193: 
      !>[X0: $tType,X1: $tType] : ( ( list(X1) * X0 * list(X0) * set(product_prod(X1,X0)) ) > list(X1) ) ).

tff(func_def_4101,type,
    sK3194: 
      !>[X0: $tType,X1: $tType] : ( ( X1 * list(X1) * list(X0) * set(product_prod(X1,X0)) ) > X0 ) ).

tff(func_def_4102,type,
    sK3195: 
      !>[X0: $tType,X1: $tType] : ( ( X1 * list(X1) * list(X0) * set(product_prod(X1,X0)) ) > list(X0) ) ).

tff(func_def_4103,type,
    sK3196: 
      !>[X0: $tType,X1: $tType] : ( ( list(X1) * list(X0) * set(product_prod(X1,X0)) ) > X1 ) ).

tff(func_def_4104,type,
    sK3197: 
      !>[X0: $tType,X1: $tType] : ( ( list(X1) * list(X0) * set(product_prod(X1,X0)) ) > X0 ) ).

tff(func_def_4105,type,
    sK3198: 
      !>[X0: $tType,X1: $tType] : ( ( list(X1) * list(X0) * set(product_prod(X1,X0)) ) > list(X1) ) ).

tff(func_def_4106,type,
    sK3199: 
      !>[X0: $tType,X1: $tType] : ( ( list(X1) * list(X0) * set(product_prod(X1,X0)) ) > list(X0) ) ).

tff(func_def_4107,type,
    sK3200: 
      !>[X0: $tType,X1: $tType] : ( ( list(X0) * list(X1) * set(product_prod(X0,X1)) ) > X0 ) ).

tff(func_def_4108,type,
    sK3201: 
      !>[X0: $tType,X1: $tType] : ( ( list(X0) * list(X1) * set(product_prod(X0,X1)) ) > X1 ) ).

tff(func_def_4109,type,
    sK3202: 
      !>[X0: $tType,X1: $tType] : ( ( list(X0) * list(X1) * set(product_prod(X0,X1)) ) > list(X0) ) ).

tff(func_def_4110,type,
    sK3203: 
      !>[X0: $tType,X1: $tType] : ( ( list(X0) * list(X1) * set(product_prod(X0,X1)) ) > list(X1) ) ).

tff(func_def_4111,type,
    sK3204: 
      !>[X0: $tType,X1: $tType] : ( ( list(X1) * list(X0) * set(product_prod(X1,X0)) ) > nat ) ).

tff(func_def_4112,type,
    sK3205: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,fun(X1,$o)) * list(X0) * list(X1) ) > X0 ) ).

tff(func_def_4113,type,
    sK3206: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,fun(X1,$o)) * list(X0) * list(X1) ) > X1 ) ).

tff(func_def_4114,type,
    sK3207: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,fun(X1,$o)) * list(X0) * list(X1) ) > list(X0) ) ).

tff(func_def_4115,type,
    sK3208: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,fun(X1,$o)) * list(X0) * list(X1) ) > list(X1) ) ).

tff(func_def_4116,type,
    sK3209: 
      !>[X0: $tType,X1: $tType] : ( ( list(X0) * list(X1) * fun(X0,fun(X1,$o)) ) > X0 ) ).

tff(func_def_4117,type,
    sK3210: 
      !>[X0: $tType,X1: $tType] : ( ( list(X0) * list(X1) * fun(X0,fun(X1,$o)) ) > X1 ) ).

tff(func_def_4118,type,
    sK3211: 
      !>[X0: $tType,X1: $tType] : ( ( list(X0) * list(X1) * fun(X0,fun(X1,$o)) ) > list(X0) ) ).

tff(func_def_4119,type,
    sK3212: 
      !>[X0: $tType,X1: $tType] : ( ( list(X0) * list(X1) * fun(X0,fun(X1,$o)) ) > list(X1) ) ).

tff(func_def_4120,type,
    sK3213: 
      !>[X0: $tType] : ( ( list(X0) * X0 ) > X0 ) ).

tff(func_def_4121,type,
    sK3214: 
      !>[X0: $tType] : ( ( list(X0) * X0 ) > list(X0) ) ).

tff(func_def_4122,type,
    sK3215: 
      !>[X0: $tType,X1: $tType] : ( list(product_prod(X1,X0)) > X1 ) ).

tff(func_def_4123,type,
    sK3216: 
      !>[X0: $tType,X1: $tType] : ( ( list(X0) * list(X1) * X0 ) > X1 ) ).

tff(func_def_4124,type,
    sK3217: 
      !>[X0: $tType] : ( ( X0 * list(X0) ) > X0 ) ).

tff(func_def_4125,type,
    sK3218: 
      !>[X0: $tType] : ( ( X0 * list(X0) ) > list(X0) ) ).

tff(func_def_4126,type,
    sK3219: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * list(X1) * X1 ) > X1 ) ).

tff(func_def_4127,type,
    sK3220: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * list(X1) * X1 ) > X1 ) ).

tff(func_def_4128,type,
    sK3221: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * list(X1) * X1 ) > list(X1) ) ).

tff(func_def_4129,type,
    sK3222: 
      !>[X0: $tType] : ( ( list(X0) * X0 ) > X0 ) ).

tff(func_def_4130,type,
    sK3223: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * X0 * list(X0) ) > X0 ) ).

tff(func_def_4131,type,
    sK3224: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * X0 * list(X0) ) > X0 ) ).

tff(func_def_4132,type,
    sK3225: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * X0 * list(X0) ) > list(X0) ) ).

tff(func_def_4133,type,
    sK3226: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * X0 * list(X0) ) > X0 ) ).

tff(func_def_4134,type,
    sK3227: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,set(X0)) * set(X0) * filter(X1) ) > set(X0) ) ).

tff(func_def_4135,type,
    sK3228: 
      !>[X0: $tType] : ( ( set(X0) * fun(set(X0),$o) ) > set(X0) ) ).

tff(func_def_4136,type,
    sK3229: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_4137,type,
    sK3230: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_4138,type,
    sK3231: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_4139,type,
    sK3232: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_4140,type,
    sK3233: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_4141,type,
    sK3234: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_4142,type,
    sK3235: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_4143,type,
    sK3236: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_4144,type,
    sK3237: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_4145,type,
    sK3238: 
      !>[X0: $tType] : ( ( fun(set(X0),$o) * set(X0) * set(X0) ) > set(X0) ) ).

tff(func_def_4146,type,
    sK3239: 
      !>[X0: $tType] : ( ( fun(set(X0),$o) * set(X0) ) > set(X0) ) ).

tff(func_def_4147,type,
    sK3240: 
      !>[X0: $tType] : ( fun(X0,X0) > X0 ) ).

tff(func_def_4148,type,
    sK3241: 
      !>[X0: $tType] : ( fun(X0,X0) > X0 ) ).

tff(func_def_4149,type,
    sK3242: 
      !>[X0: $tType] : X0 ).

tff(func_def_4150,type,
    sK3243: 
      !>[X0: $tType] : X0 ).

tff(func_def_4151,type,
    sK3244: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_4152,type,
    sK3245: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_4153,type,
    sK3246: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_4154,type,
    sK3247: 
      !>[X0: $tType] : ( ( set(X0) * set(X0) ) > X0 ) ).

tff(func_def_4155,type,
    sK3248: 
      !>[X0: $tType] : ( ( set(X0) * set(X0) ) > X0 ) ).

tff(func_def_4156,type,
    sK3249: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_4157,type,
    sK3250: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_4158,type,
    sK3251: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_4159,type,
    sK3252: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_4160,type,
    sK3253: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_4161,type,
    sK3254: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_4162,type,
    sK3255: 
      !>[X0: $tType] : ( fun(X0,X0) > X0 ) ).

tff(func_def_4163,type,
    sK3256: 
      !>[X0: $tType] : ( fun(X0,X0) > X0 ) ).

tff(func_def_4164,type,
    sK3257: 
      !>[X0: $tType] : X0 ).

tff(func_def_4165,type,
    sK3258: 
      !>[X0: $tType] : X0 ).

tff(func_def_4166,type,
    sK3259: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * list(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_4167,type,
    sK3260: 
      !>[X0: $tType,X1: $tType] : ( ( list(product_prod(X1,X0)) * list(product_prod(X1,X0)) ) > X1 ) ).

tff(func_def_4168,type,
    sK3261: 
      !>[X0: $tType,X1: $tType] : ( ( list(X0) * list(X0) * fun(X1,X0) * list(X1) ) > list(X1) ) ).

tff(func_def_4169,type,
    sK3262: 
      !>[X0: $tType,X1: $tType] : ( ( list(X0) * list(X0) * fun(X1,X0) * list(X1) ) > list(X1) ) ).

tff(func_def_4170,type,
    sK3263: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * list(X1) * list(X0) * list(X0) ) > list(X1) ) ).

tff(func_def_4171,type,
    sK3264: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * list(X1) * list(X0) * list(X0) ) > list(X1) ) ).

tff(func_def_4172,type,
    sK3265: 
      !>[X0: $tType,X1: $tType] : ( ( X0 * list(X0) * fun(X1,X0) * list(X1) ) > X1 ) ).

tff(func_def_4173,type,
    sK3266: 
      !>[X0: $tType,X1: $tType] : ( ( X0 * list(X0) * fun(X1,X0) * list(X1) ) > list(X1) ) ).

tff(func_def_4174,type,
    sK3267: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * list(X0) * X1 * list(X1) ) > X0 ) ).

tff(func_def_4175,type,
    sK3268: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * list(X0) * X1 * list(X1) ) > list(X0) ) ).

tff(func_def_4176,type,
    sK3269: 
      !>[X0: $tType,X1: $tType] : ( ( X0 * list(X0) * fun(X1,X0) * list(X1) ) > X1 ) ).

tff(func_def_4177,type,
    sK3270: 
      !>[X0: $tType,X1: $tType] : ( ( X0 * list(X0) * fun(X1,X0) * list(X1) ) > list(X1) ) ).

tff(func_def_4178,type,
    sK3271: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * list(X0) * X1 * list(X1) ) > X0 ) ).

tff(func_def_4179,type,
    sK3272: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * list(X0) * X1 * list(X1) ) > list(X0) ) ).

tff(func_def_4180,type,
    sK3273: 
      !>[X0: $tType,X1: $tType] : ( ( list(X1) * fun(X1,X0) * fun(X1,X0) ) > X1 ) ).

tff(func_def_4181,type,
    sK3274: 
      !>[X0: $tType,X1: $tType] : ( ( list(X1) * fun(X1,X0) * fun(X1,X0) ) > X1 ) ).

tff(func_def_4182,type,
    sK3275: 
      !>[X0: $tType,X1: $tType] : ( ( list(X1) * list(X1) * fun(X1,X0) * fun(X1,X0) ) > X1 ) ).

tff(func_def_4183,type,
    sK3276: 
      !>[X0: $tType,X1: $tType] : ( ( list(X1) * list(X1) * fun(X1,X0) * fun(X1,X0) ) > X1 ) ).

tff(func_def_4184,type,
    sK3277: 
      !>[X0: $tType,X1: $tType] : ( ( list(X1) * fun(X1,X0) * fun(X1,X0) ) > X1 ) ).

tff(func_def_4185,type,
    sK3278: 
      !>[X0: $tType] : ( ( list(X0) * fun(X0,X0) ) > X0 ) ).

tff(func_def_4186,type,
    sK3279: 
      !>[X0: $tType,X1: $tType] : ( ( list(X1) * fun(X1,X0) * fun(X1,X0) ) > X1 ) ).

tff(func_def_4187,type,
    sK3280: 
      !>[X0: $tType,X1: $tType] : ( ( list(X0) * fun(X1,X0) ) > list(X1) ) ).

tff(func_def_4188,type,
    sK3281: 
      !>[X0: $tType,X1: $tType] : ( ( list(X0) * fun(X1,X0) ) > X0 ) ).

tff(func_def_4189,type,
    sK3282: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * X0 ) > X1 ) ).

tff(func_def_4190,type,
    sK3283: 
      !>[X0: $tType] : ( ( list(X0) * nat * fun(nat,X0) ) > nat ) ).

tff(func_def_4191,type,
    sK3284: 
      !>[X0: $tType] : ( ( list(list(X0)) * nat ) > nat ) ).

tff(func_def_4192,type,
    sK3285: 
      !>[X0: $tType] : ( list(X0) > X0 ) ).

tff(func_def_4193,type,
    sK3286: 
      !>[X0: $tType] : ( ( list(list(X0)) * list(list(X0)) ) > X0 ) ).

tff(func_def_4194,type,
    sK3287: 
      !>[X0: $tType] : ( ( list(list(X0)) * list(list(X0)) ) > list(X0) ) ).

tff(func_def_4195,type,
    sK3288: 
      !>[X0: $tType] : ( ( list(list(X0)) * list(list(X0)) ) > list(list(X0)) ) ).

tff(func_def_4196,type,
    sK3289: 
      !>[X0: $tType] : ( ( list(list(X0)) * list(list(X0)) ) > list(list(X0)) ) ).

tff(func_def_4197,type,
    sK3290: 
      !>[X0: $tType] : ( list(X0) > X0 ) ).

tff(func_def_4198,type,
    sK3291: 
      !>[X0: $tType] : ( list(X0) > X0 ) ).

tff(func_def_4199,type,
    sK3292: 
      !>[X0: $tType] : ( list(X0) > X0 ) ).

tff(func_def_4200,type,
    sK3293: 
      !>[X0: $tType] : ( list(X0) > X0 ) ).

tff(func_def_4201,type,
    sK3294: 
      !>[X0: $tType,X1: $tType] : ( ( list(X1) * fun(X1,X0) * fun(X1,X0) ) > X1 ) ).

tff(func_def_4202,type,
    sK3295: 
      !>[X0: $tType,X1: $tType] : ( ( list(X1) * fun(X1,X0) * fun(X1,X0) ) > X1 ) ).

tff(func_def_4203,type,
    sK3296: 
      !>[X0: $tType] : ( list(list(X0)) > list(X0) ) ).

tff(func_def_4204,type,
    sK3297: 
      !>[X0: $tType] : ( ( list(list(X0)) * list(list(X0)) ) > list(list(X0)) ) ).

tff(func_def_4205,type,
    sK3298: 
      !>[X0: $tType] : ( ( list(list(X0)) * list(list(X0)) ) > X0 ) ).

tff(func_def_4206,type,
    sK3299: 
      !>[X0: $tType] : ( ( list(list(X0)) * list(list(X0)) ) > list(X0) ) ).

tff(func_def_4207,type,
    sK3300: 
      !>[X0: $tType] : ( ( list(list(X0)) * list(list(X0)) ) > list(list(X0)) ) ).

tff(func_def_4208,type,
    sK3301: 
      !>[X0: $tType] : ( fun(list(list(X0)),$o) > list(list(X0)) ) ).

tff(func_def_4209,type,
    sK3302: 
      !>[X0: $tType] : ( fun(list(list(X0)),$o) > X0 ) ).

tff(func_def_4210,type,
    sK3303: 
      !>[X0: $tType] : ( fun(list(list(X0)),$o) > list(X0) ) ).

tff(func_def_4211,type,
    sK3304: 
      !>[X0: $tType] : ( fun(list(list(X0)),$o) > list(list(X0)) ) ).

tff(func_def_4212,type,
    sK3305: 
      !>[X0: $tType] : ( ( list(X0) * fun(X0,$o) ) > X0 ) ).

tff(func_def_4213,type,
    sK3306: 
      !>[X0: $tType] : ( ( list(X0) * fun(X0,$o) ) > X0 ) ).

tff(func_def_4214,type,
    sK3307: 
      !>[X0: $tType] : ( ( list(X0) * fun(X0,$o) * fun(X0,$o) ) > X0 ) ).

tff(func_def_4215,type,
    sK3308: 
      !>[X0: $tType] : ( ( fun(X0,$o) * list(X0) ) > X0 ) ).

tff(func_def_4216,type,
    sK3309: 
      !>[X0: $tType] : ( ( fun(X0,$o) * list(X0) ) > X0 ) ).

tff(func_def_4217,type,
    sK3310: 
      !>[X0: $tType] : ( ( fun(X0,$o) * list(X0) ) > X0 ) ).

tff(func_def_4218,type,
    sK3311: 
      !>[X0: $tType] : ( ( fun(X0,$o) * list(X0) ) > X0 ) ).

tff(func_def_4219,type,
    sK3312: 
      !>[X0: $tType] : ( ( fun(X0,$o) * list(X0) * X0 * list(X0) ) > list(X0) ) ).

tff(func_def_4220,type,
    sK3313: 
      !>[X0: $tType] : ( ( fun(X0,$o) * list(X0) * X0 * list(X0) ) > list(X0) ) ).

tff(func_def_4221,type,
    sK3314: 
      !>[X0: $tType] : ( ( fun(X0,$o) * list(X0) ) > X0 ) ).

tff(func_def_4222,type,
    sK3315: 
      !>[X0: $tType] : ( ( X0 * list(X0) * fun(X0,$o) * list(X0) ) > list(X0) ) ).

tff(func_def_4223,type,
    sK3316: 
      !>[X0: $tType] : ( ( X0 * list(X0) * fun(X0,$o) * list(X0) ) > list(X0) ) ).

tff(func_def_4224,type,
    sK3317: 
      !>[X0: $tType] : ( ( fun(X0,$o) * list(X0) * X0 * list(X0) ) > list(X0) ) ).

tff(func_def_4225,type,
    sK3318: 
      !>[X0: $tType] : ( ( fun(X0,$o) * list(X0) * X0 * list(X0) ) > list(X0) ) ).

tff(func_def_4226,type,
    sK3319: 
      !>[X0: $tType] : ( ( X0 * list(X0) * fun(X0,$o) * list(X0) ) > list(X0) ) ).

tff(func_def_4227,type,
    sK3320: 
      !>[X0: $tType] : ( ( X0 * list(X0) * fun(X0,$o) * list(X0) ) > list(X0) ) ).

tff(func_def_4228,type,
    sK3321: 
      !>[X0: $tType,X1: $tType] : ( ( list(X1) * fun(X1,$o) * fun(X1,X0) ) > X1 ) ).

tff(func_def_4229,type,
    sK3322: 
      !>[X0: $tType,X1: $tType] : ( ( list(X0) * fun(X0,fun(X1,X1)) * fun(X0,fun(X1,X1)) ) > X1 ) ).

tff(func_def_4230,type,
    sK3323: 
      !>[X0: $tType,X1: $tType] : ( ( list(X0) * fun(X0,fun(X1,X1)) * fun(X0,fun(X1,X1)) ) > X0 ) ).

tff(func_def_4231,type,
    sK3324: 
      !>[X0: $tType] : ( fun(nat,X0) > nat ) ).

tff(func_def_4232,type,
    sK3325: 
      !>[X0: $tType] : ( fun(nat,X0) > nat ) ).

tff(func_def_4233,type,
    sK3326: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,$o)) * list(X0) ) > X0 ) ).

tff(func_def_4234,type,
    sK3327: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,$o)) * list(X0) ) > list(X0) ) ).

tff(func_def_4235,type,
    sK3328: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,$o)) * list(X0) ) > X0 ) ).

tff(func_def_4236,type,
    sK3329: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,$o)) * X0 * list(X0) ) > X0 ) ).

tff(func_def_4237,type,
    sK3330: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,$o)) * list(X0) * list(X0) ) > X0 ) ).

tff(func_def_4238,type,
    sK3331: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,$o)) * list(X0) * list(X0) ) > X0 ) ).

tff(func_def_4239,type,
    sK3332: 
      !>[X0: $tType] : ( ( list(X0) * fun(X0,fun(X0,$o)) * fun(X0,fun(X0,$o)) ) > X0 ) ).

tff(func_def_4240,type,
    sK3333: 
      !>[X0: $tType] : ( ( list(X0) * fun(X0,fun(X0,$o)) * fun(X0,fun(X0,$o)) ) > X0 ) ).

tff(func_def_4241,type,
    sK3334: 
      !>[X0: $tType] : ( ( X0 * list(X0) ) > X0 ) ).

tff(func_def_4242,type,
    sK3335: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) ) > X0 ) ).

tff(func_def_4243,type,
    sK3336: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) ) > X0 ) ).

tff(func_def_4244,type,
    sK3337: 
      !>[X0: $tType] : ( ( X0 * list(X0) ) > X0 ) ).

tff(func_def_4245,type,
    sK3338: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,$o)) * list(X0) ) > nat ) ).

tff(func_def_4246,type,
    sK3339: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,$o)) * list(X0) ) > nat ) ).

tff(func_def_4247,type,
    sK3340: 
      !>[X0: $tType] : ( list(X0) > nat ) ).

tff(func_def_4248,type,
    sK3341: 
      !>[X0: $tType] : ( list(X0) > nat ) ).

tff(func_def_4249,type,
    sK3342: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,$o)) * list(X0) ) > X0 ) ).

tff(func_def_4250,type,
    sK3343: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,$o)) * list(X0) ) > list(X0) ) ).

tff(func_def_4251,type,
    sK3344: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,$o)) * $o * list(X0) ) > X0 ) ).

tff(func_def_4252,type,
    sK3345: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,$o)) * $o * list(X0) ) > list(X0) ) ).

tff(func_def_4253,type,
    sK3346: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,$o)) * $o * list(X0) ) > X0 ) ).

tff(func_def_4254,type,
    sK3347: 
      !>[X0: $tType] : ( set(X0) > list(X0) ) ).

tff(func_def_4255,type,
    sK3348: 
      !>[X0: $tType] : ( list(X0) > nat ) ).

tff(func_def_4256,type,
    sK3349: 
      !>[X0: $tType] : ( set(X0) > list(X0) ) ).

tff(func_def_4257,type,
    sK3350: 
      !>[X0: $tType] : ( list(X0) > nat ) ).

tff(func_def_4258,type,
    sK3351: 
      !>[X0: $tType] : ( list(X0) > nat ) ).

tff(func_def_4259,type,
    sK3352: 
      !>[X0: $tType] : ( ( list(X0) * X0 ) > X0 ) ).

tff(func_def_4260,type,
    sK3353: 
      !>[X0: $tType] : ( list(X0) > nat ) ).

tff(func_def_4261,type,
    sK3354: 
      !>[X0: $tType] : ( list(X0) > nat ) ).

tff(func_def_4262,type,
    sK3355: 
      !>[X0: $tType] : ( list(X0) > nat ) ).

tff(func_def_4263,type,
    sK3356: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,$o)) * $o * list(X0) ) > X0 ) ).

tff(func_def_4264,type,
    sK3357: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,$o)) * $o * list(X0) ) > list(X0) ) ).

tff(func_def_4265,type,
    sK3358: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,$o)) * $o * list(X0) ) > X0 ) ).

tff(func_def_4266,type,
    sK3359: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,$o)) * list(X0) ) > X0 ) ).

tff(func_def_4267,type,
    sK3360: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,$o)) * list(X0) ) > list(X0) ) ).

tff(func_def_4268,type,
    sK3361: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,$o)) * list(X0) ) > X0 ) ).

tff(func_def_4269,type,
    sK3362: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,$o)) * list(X0) ) > list(X0) ) ).

tff(func_def_4270,type,
    sK3363: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,$o)) * list(X0) ) > X0 ) ).

tff(func_def_4271,type,
    sK3364: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,fun(X0,$o)) * fun(X1,X0) * set(X1) ) > list(X1) ) ).

tff(func_def_4272,type,
    sK3365: 
      !>[X0: $tType] : ( ( fun(X0,$o) * list(X0) ) > X0 ) ).

tff(func_def_4273,type,
    sK3366: 
      !>[X0: $tType] : ( ( list(X0) * fun(X0,$o) ) > X0 ) ).

tff(func_def_4274,type,
    sK3367: 
      !>[X0: $tType] : ( ( list(X0) * fun(X0,$o) * fun(X0,$o) ) > X0 ) ).

tff(func_def_4275,type,
    sK3368: 
      !>[X0: $tType] : ( ( nat * fun(X0,$o) * list(X0) ) > nat ) ).

tff(func_def_4276,type,
    sK3369: 
      !>[X0: $tType] : ( ( nat * list(X0) * fun(X0,$o) ) > nat ) ).

tff(func_def_4277,type,
    sK3370: 
      !>[X0: $tType] : ( ( fun(X0,$o) * list(X0) ) > X0 ) ).

tff(func_def_4278,type,
    sK3371: 
      !>[X0: $tType] : ( ( list(X0) * fun(X0,$o) ) > X0 ) ).

tff(func_def_4279,type,
    sK3372: 
      !>[X0: $tType] : ( ( list(X0) * fun(X0,$o) * fun(X0,$o) ) > X0 ) ).

tff(func_def_4280,type,
    sK3373: 
      !>[X0: $tType] : ( ( list(X0) * fun(X0,$o) * fun(X0,$o) ) > X0 ) ).

tff(func_def_4281,type,
    sK3374: 
      !>[X0: $tType] : ( ( fun(X0,$o) * list(X0) ) > X0 ) ).

tff(func_def_4282,type,
    sK3375: 
      !>[X0: $tType] : ( ( fun(X0,$o) * list(X0) ) > X0 ) ).

tff(func_def_4283,type,
    sK3376: 
      !>[X0: $tType] : ( ( fun(X0,$o) * list(X0) ) > X0 ) ).

tff(func_def_4284,type,
    sK3377: 
      !>[X0: $tType] : ( ( fun(X0,$o) * list(X0) * nat ) > nat ) ).

tff(func_def_4285,type,
    sK3378: 
      !>[X0: $tType] : ( ( fun(X0,$o) * list(X0) * X0 ) > nat ) ).

tff(func_def_4286,type,
    sK3379: 
      !>[X0: $tType] : ( ( fun(X0,$o) * list(X0) * nat ) > nat ) ).

tff(func_def_4287,type,
    sK3380: 
      !>[X0: $tType] : ( ( X0 * fun(X0,$o) * list(X0) ) > nat ) ).

tff(func_def_4288,type,
    sK3381: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,option(X1)) * X0 * X1 ) > X0 ) ).

tff(func_def_4289,type,
    sK3382: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,set(X0)) * set(X1) ) > fun(X0,product_prod(X1,X0)) ) ).

tff(func_def_4290,type,
    sK3383: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,set(X0)) * fun(X1,set(X0)) ) > X1 ) ).

tff(func_def_4291,type,
    sK3384: 
      !>[X0: $tType] : ( ( set(X0) * set(product_prod(X0,X0)) ) > X0 ) ).

tff(func_def_4292,type,
    sK3385: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * set(X0) ) > X0 ) ).

tff(func_def_4293,type,
    sK3386: 
      !>[X0: $tType,X1: $tType] : ( set(product_prod(X1,X0)) > product_prod(X1,X0) ) ).

tff(func_def_4294,type,
    sK3387: 
      !>[X0: $tType,X1: $tType] : ( ( set(product_prod(X1,X0)) * product_prod(X1,X0) ) > set(X1) ) ).

tff(func_def_4295,type,
    sK3388: 
      !>[X0: $tType,X1: $tType] : ( ( set(product_prod(X1,X0)) * product_prod(X1,X0) ) > set(X0) ) ).

tff(func_def_4296,type,
    sK3389: 
      !>[X0: $tType,X1: $tType] : ( ( set(product_prod(X1,X0)) * product_prod(X1,X0) ) > set(X1) ) ).

tff(func_def_4297,type,
    sK3390: 
      !>[X0: $tType,X1: $tType] : ( ( set(product_prod(X1,X0)) * product_prod(X1,X0) ) > set(X0) ) ).

tff(func_def_4298,type,
    sK3391: 
      !>[X0: $tType,X1: $tType] : ( set(product_prod(X1,X0)) > product_prod(X1,X0) ) ).

tff(func_def_4299,type,
    sK3392: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_4300,type,
    sK3393: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_4301,type,
    sK3394: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_4302,type,
    sK3395: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_4303,type,
    sK3396: 
      !>[X0: $tType] : ( fun(X0,X0) > X0 ) ).

tff(func_def_4304,type,
    sK3397: 
      !>[X0: $tType] : ( fun(X0,X0) > X0 ) ).

tff(func_def_4305,type,
    sK3398: 
      !>[X0: $tType] : ( fun(X0,X0) > X0 ) ).

tff(func_def_4306,type,
    sK3399: 
      !>[X0: $tType] : ( fun(X0,X0) > X0 ) ).

tff(func_def_4307,type,
    sK3400: 
      !>[X0: $tType] : X0 ).

tff(func_def_4308,type,
    sK3401: 
      !>[X0: $tType] : X0 ).

tff(func_def_4309,type,
    sK3402: 
      !>[X0: $tType] : X0 ).

tff(func_def_4310,type,
    sK3403: 
      !>[X0: $tType] : X0 ).

tff(func_def_4311,type,
    sK3404: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,fun(X0,X0)) * fun(X1,fun(X0,X0)) * set(X1) ) > X1 ) ).

tff(func_def_4312,type,
    sK3405: 
      !>[X0: $tType,X1: $tType] : ( fun(X1,X0) > X1 ) ).

tff(func_def_4313,type,
    sK3406: 
      !>[X0: $tType,X1: $tType] : ( fun(X1,X0) > X1 ) ).

tff(func_def_4314,type,
    sK3407: 
      !>[X0: $tType] : ( ( list(X0) * set(X0) ) > X0 ) ).

tff(func_def_4315,type,
    sK3408: 
      !>[X0: $tType] : ( ( list(X0) * set(X0) ) > X0 ) ).

tff(func_def_4316,type,
    sK3409: 
      !>[X0: $tType] : ( ( list(X0) * set(X0) ) > X0 ) ).

tff(func_def_4317,type,
    sK3410: 
      !>[X0: $tType] : ( ( list(X0) * set(X0) ) > list(X0) ) ).

tff(func_def_4318,type,
    sK3411: 
      !>[X0: $tType] : ( ( list(X0) * set(X0) ) > X0 ) ).

tff(func_def_4319,type,
    sK3412: 
      !>[X0: $tType] : ( ( list(X0) * set(X0) ) > list(X0) ) ).

tff(func_def_4320,type,
    sK3413: ( list(nat) * nat ) > nat ).

tff(func_def_4321,type,
    sK3414: ( list(nat) * nat ) > list(nat) ).

tff(func_def_4322,type,
    sK3415: ( list(nat) * nat ) > nat ).

tff(func_def_4323,type,
    sK3416: ( list(nat) * nat ) > list(nat) ).

tff(func_def_4324,type,
    sK3417: 
      !>[X0: $tType,X1: $tType] : ( ( list(X1) * fun(X1,fun(X0,X0)) ) > X1 ) ).

tff(func_def_4325,type,
    sK3418: 
      !>[X0: $tType,X1: $tType] : ( ( list(X1) * fun(X1,fun(X0,X0)) ) > X1 ) ).

tff(func_def_4326,type,
    sK3419: 
      !>[X0: $tType,X1: $tType] : ( ( list(X1) * fun(X1,fun(X0,X0)) ) > X1 ) ).

tff(func_def_4327,type,
    sK3420: 
      !>[X0: $tType,X1: $tType] : ( ( list(X1) * fun(X1,fun(X0,X0)) ) > X1 ) ).

tff(func_def_4328,type,
    sK3421: 
      !>[X0: $tType,X1: $tType] : ( ( list(X0) * fun(X0,fun(X1,X1)) * fun(X0,fun(X1,X1)) ) > X0 ) ).

tff(func_def_4329,type,
    sK3422: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,$o) * fun(X1,$o) * fun(X0,fun(X1,X1)) ) > X0 ) ).

tff(func_def_4330,type,
    sK3423: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,$o) * fun(X1,$o) * fun(X0,fun(X1,X1)) ) > X1 ) ).

tff(func_def_4331,type,
    sK3424: 
      !>[X0: $tType] : ( ( list(X0) * fun(X0,$o) ) > X0 ) ).

tff(func_def_4332,type,
    sK3425: 
      !>[X0: $tType,X1: $tType] : ( ( list(X1) * fun(X1,fun(X0,X0)) ) > X1 ) ).

tff(func_def_4333,type,
    sK3426: 
      !>[X0: $tType,X1: $tType] : ( ( list(X1) * fun(X1,fun(X0,X0)) ) > X1 ) ).

tff(func_def_4334,type,
    sK3427: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( list(X0) * fun(X2,X1) * fun(X0,fun(X2,X2)) * fun(X0,fun(X1,X1)) ) > X0 ) ).

tff(func_def_4335,type,
    sK3428: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( list(X0) * fun(X2,X1) * fun(X0,fun(X2,X2)) * fun(X0,fun(X1,X1)) ) > X0 ) ).

tff(func_def_4336,type,
    sK3429: 
      !>[X0: $tType] : ( set(X0) > fun(nat,set(X0)) ) ).

tff(func_def_4337,type,
    sK3430: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * set(X1) ) > set(X1) ) ).

tff(func_def_4338,type,
    sK3431: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * set(X1) * fun(set(X0),$o) ) > set(X0) ) ).

tff(func_def_4339,type,
    sK3432: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * set(X1) * fun(set(X0),$o) ) > set(X1) ) ).

tff(func_def_4340,type,
    sK3433: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * set(X1) * fun(set(X0),$o) ) > set(X1) ) ).

tff(func_def_4341,type,
    sK3434: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * set(X1) * fun(set(X0),$o) ) > set(X0) ) ).

tff(func_def_4342,type,
    sK3435: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * set(X1) ) > set(X1) ) ).

tff(func_def_4343,type,
    sK3436: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X1,X0) * set(X1) ) > set(X1) ) ).

tff(func_def_4344,type,
    sK3437: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * set(X1) * fun(set(X0),$o) ) > set(X0) ) ).

tff(func_def_4345,type,
    sK3438: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * set(X1) * fun(set(X0),$o) ) > set(X1) ) ).

tff(func_def_4346,type,
    sK3439: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * set(X1) * fun(set(X0),$o) ) > set(X1) ) ).

tff(func_def_4347,type,
    sK3440: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * set(X1) * fun(set(X0),$o) ) > set(X0) ) ).

tff(func_def_4348,type,
    sK3441: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * X0 * fun(X1,X0) ) > X1 ) ).

tff(func_def_4349,type,
    sK3442: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * X0 * fun(X1,X0) ) > X1 ) ).

tff(func_def_4350,type,
    sK3443: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( set(X0) * set(X2) * fun(X0,X1) * fun(X2,X1) ) > X2 ) ).

tff(func_def_4351,type,
    sK3444: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( set(X0) * set(X2) * fun(X0,X1) * fun(X2,X1) ) > X0 ) ).

tff(func_def_4352,type,
    sK3445: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,X1) * X1 ) > X0 ) ).

tff(func_def_4353,type,
    sK3446: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,X1) * X1 ) > X0 ) ).

tff(func_def_4354,type,
    sK3447: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * X0 * fun(X1,X0) ) > X1 ) ).

tff(func_def_4355,type,
    sK3448: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,X1) * X1 ) > X0 ) ).

tff(func_def_4356,type,
    sK3449: 
      !>[X0: $tType] : ( ( set(X0) * set(X0) ) > X0 ) ).

tff(func_def_4357,type,
    sK3450: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_4358,type,
    sK3451: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_4359,type,
    sK3452: 
      !>[X0: $tType] : ( set(X0) > set(X0) ) ).

tff(func_def_4360,type,
    sK3453: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_4361,type,
    sK3454: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_4362,type,
    sK3455: 
      !>[X0: $tType] : ( ( set(X0) * set(X0) ) > X0 ) ).

tff(func_def_4363,type,
    sK3456: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_4364,type,
    sK3457: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_4365,type,
    sK3458: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,X0) * fun(X1,X0) ) > X1 ) ).

tff(func_def_4366,type,
    sK3459: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,X0) * fun(X1,X0) ) > X1 ) ).

tff(func_def_4367,type,
    sK3460: 
      !>[X0: $tType] : ( ( set(X0) * list(X0) ) > X0 ) ).

tff(func_def_4368,type,
    sK3461: 
      !>[X0: $tType,X1: $tType] : ( ( list(X0) * fun(X0,fun(X1,X1)) ) > X0 ) ).

tff(func_def_4369,type,
    sK3462: ( real * real ) > rat ).

tff(func_def_4370,type,
    sK3463: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,fun(X1,X1)) * set(X0) * X1 * X1 * X0 ) > X1 ) ).

tff(func_def_4371,type,
    sK3464: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,fun(X1,$o)) * list(X0) * list(X1) ) > list(product_prod(X0,X1)) ) ).

tff(func_def_4372,type,
    sK3465: 
      !>[X0: $tType,X1: $tType] : ( ( list(X0) * list(X1) * fun(X0,fun(X1,$o)) ) > nat ) ).

tff(func_def_4373,type,
    sK3466: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,fun(X1,$o)) * list(X0) * list(X1) ) > nat ) ).

tff(func_def_4374,type,
    sK3467: 
      !>[X0: $tType] : ( fun(X0,fun(X0,$o)) > X0 ) ).

tff(func_def_4375,type,
    sK3468: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,fun(X1,$o)) * fun(X0,fun(X1,$o)) ) > X0 ) ).

tff(func_def_4376,type,
    sK3469: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,fun(X1,$o)) * fun(X0,fun(X1,$o)) ) > X1 ) ).

tff(func_def_4377,type,
    sK3470: 
      !>[X0: $tType] : ( fun(X0,fun(X0,$o)) > X0 ) ).

tff(func_def_4378,type,
    sK3471: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( fun(X1,fun(X0,$o)) * fun(X0,fun(X2,$o)) * fun(X1,fun(X2,$o)) ) > X1 ) ).

tff(func_def_4379,type,
    sK3472: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( fun(X1,fun(X0,$o)) * fun(X0,fun(X2,$o)) * fun(X1,fun(X2,$o)) ) > X0 ) ).

tff(func_def_4380,type,
    sK3473: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( fun(X1,fun(X0,$o)) * fun(X0,fun(X2,$o)) * fun(X1,fun(X2,$o)) ) > X2 ) ).

tff(func_def_4381,type,
    sK3474: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,$o)) * fun(X0,fun(X0,$o)) ) > X0 ) ).

tff(func_def_4382,type,
    sK3475: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,$o)) * fun(X0,fun(X0,$o)) ) > X0 ) ).

tff(func_def_4383,type,
    sK3476: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,fun(X1,$o)) * X0 * list(X0) * list(X1) ) > X1 ) ).

tff(func_def_4384,type,
    sK3477: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,fun(X1,$o)) * X0 * list(X0) * list(X1) ) > list(X1) ) ).

tff(func_def_4385,type,
    sK3478: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,fun(X1,$o)) * list(X0) * X1 * list(X1) ) > X0 ) ).

tff(func_def_4386,type,
    sK3479: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,fun(X1,$o)) * list(X0) * X1 * list(X1) ) > list(X0) ) ).

tff(func_def_4387,type,
    sK3480: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,fun(X1,$o)) * list(X0) * list(X1) ) > X0 ) ).

tff(func_def_4388,type,
    sK3481: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,fun(X1,$o)) * list(X0) * list(X1) ) > list(X0) ) ).

tff(func_def_4389,type,
    sK3482: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,fun(X1,$o)) * list(X0) * list(X1) ) > X1 ) ).

tff(func_def_4390,type,
    sK3483: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,fun(X1,$o)) * list(X0) * list(X1) ) > list(X1) ) ).

tff(func_def_4391,type,
    sK3484: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,fun(X1,$o)) * fun(list(X0),fun(list(X1),$o)) ) > X0 ) ).

tff(func_def_4392,type,
    sK3485: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,fun(X1,$o)) * fun(list(X0),fun(list(X1),$o)) ) > list(X0) ) ).

tff(func_def_4393,type,
    sK3486: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,fun(X1,$o)) * fun(list(X0),fun(list(X1),$o)) ) > X1 ) ).

tff(func_def_4394,type,
    sK3487: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,fun(X1,$o)) * fun(list(X0),fun(list(X1),$o)) ) > list(X1) ) ).

tff(func_def_4395,type,
    sK3488: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,fun(X1,$o)) * fun(list(X0),fun(list(X1),$o)) ) > X0 ) ).

tff(func_def_4396,type,
    sK3489: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,fun(X1,$o)) * fun(list(X0),fun(list(X1),$o)) ) > list(X0) ) ).

tff(func_def_4397,type,
    sK3490: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,fun(X1,$o)) * fun(list(X0),fun(list(X1),$o)) ) > X1 ) ).

tff(func_def_4398,type,
    sK3491: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,fun(X1,$o)) * fun(list(X0),fun(list(X1),$o)) ) > list(X1) ) ).

tff(func_def_4399,type,
    sK3492: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,$o)) * list(X0) ) > X0 ) ).

tff(func_def_4400,type,
    sK3493: 
      !>[X0: $tType] : ( ( list(X0) * fun(X0,fun(X0,$o)) ) > X0 ) ).

tff(func_def_4401,type,
    sK3494: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,fun(X1,$o)) * list(X0) * list(X1) * fun(X0,fun(X1,$o)) ) > X0 ) ).

tff(func_def_4402,type,
    sK3495: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,fun(X1,$o)) * list(X0) * list(X1) * fun(X0,fun(X1,$o)) ) > X1 ) ).

tff(func_def_4403,type,
    sK3496: 
      !>[X0: $tType,X1: $tType] : ( ( list(X0) * list(X1) * fun(X0,fun(X1,$o)) * fun(X0,fun(X1,$o)) ) > X0 ) ).

tff(func_def_4404,type,
    sK3497: 
      !>[X0: $tType,X1: $tType] : ( ( list(X0) * list(X1) * fun(X0,fun(X1,$o)) * fun(X0,fun(X1,$o)) ) > X1 ) ).

tff(func_def_4405,type,
    sK3498: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,fun(X1,$o)) * list(X0) * list(X1) * list(X1) ) > list(X0) ) ).

tff(func_def_4406,type,
    sK3499: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,fun(X1,$o)) * list(X0) * list(X1) * list(X1) ) > list(X0) ) ).

tff(func_def_4407,type,
    sK3500: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,fun(X1,$o)) * list(X0) * list(X0) * list(X1) ) > list(X1) ) ).

tff(func_def_4408,type,
    sK3501: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,fun(X1,$o)) * list(X0) * list(X0) * list(X1) ) > list(X1) ) ).

tff(func_def_4409,type,
    sK3502: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,fun(X1,X1)) * X0 * set(X0) * X1 * X1 ) > X1 ) ).

tff(func_def_4410,type,
    sK3503: 
      !>[X0: $tType,X1: $tType] : ( ( list(X0) * list(X1) * fun(X0,fun(X1,$o)) ) > product_prod(X0,X1) ) ).

tff(func_def_4411,type,
    sK3504: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,fun(X0,$o)) * list(X1) * list(X0) ) > product_prod(X1,X0) ) ).

tff(func_def_4412,type,
    sK3505: 
      !>[X0: $tType,X1: $tType] : ( fun(X0,option(X1)) > X0 ) ).

tff(func_def_4413,type,
    sK3506: 
      !>[X0: $tType,X1: $tType] : ( fun(X0,option(X1)) > X0 ) ).

tff(func_def_4414,type,
    sK3507: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_4415,type,
    sK3508: 
      !>[X0: $tType,X1: $tType] : ( fun(fun(X1,option(X0)),$o) > X1 ) ).

tff(func_def_4416,type,
    sK3509: 
      !>[X0: $tType,X1: $tType] : ( fun(fun(X1,option(X0)),$o) > X0 ) ).

tff(func_def_4417,type,
    sK3510: 
      !>[X0: $tType,X1: $tType] : ( fun(fun(X1,option(X0)),$o) > fun(X1,option(X0)) ) ).

tff(func_def_4418,type,
    sK3511: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,option(X1)) * X0 ) > X1 ) ).

tff(func_def_4419,type,
    sK3512: 
      !>[X0: $tType] : ( X0 > int ) ).

tff(func_def_4420,type,
    sK3513: 
      !>[X0: $tType] : ( product_prod(X0,X0) > X0 ) ).

tff(func_def_4421,type,
    sK3514: 
      !>[X0: $tType] : ( product_prod(X0,X0) > X0 ) ).

tff(func_def_4422,type,
    sK3515: real > int ).

tff(func_def_4423,type,
    sK3516: real > nat ).

tff(func_def_4424,type,
    sK3517: real > int ).

tff(func_def_4425,type,
    sK3518: real > int ).

tff(func_def_4426,type,
    sK3519: 
      !>[X0: $tType] : ( product_prod(X0,X0) > X0 ) ).

tff(func_def_4427,type,
    sK3520: 
      !>[X0: $tType] : ( product_prod(X0,X0) > X0 ) ).

tff(func_def_4428,type,
    sK3521: 
      !>[X0: $tType] : ( product_prod(X0,X0) > X0 ) ).

tff(func_def_4429,type,
    sK3522: 
      !>[X0: $tType] : ( product_prod(X0,X0) > X0 ) ).

tff(func_def_4430,type,
    sK3523: 
      !>[X0: $tType] : ( product_prod(X0,X0) > X0 ) ).

tff(func_def_4431,type,
    sK3524: 
      !>[X0: $tType] : ( product_prod(X0,X0) > X0 ) ).

tff(func_def_4432,type,
    sK3525: 
      !>[X0: $tType] : ( product_prod(X0,X0) > X0 ) ).

tff(func_def_4433,type,
    sK3526: 
      !>[X0: $tType] : ( product_prod(X0,X0) > X0 ) ).

tff(func_def_4434,type,
    sK3527: 
      !>[X0: $tType] : ( product_prod(X0,X0) > X0 ) ).

tff(func_def_4435,type,
    sK3528: 
      !>[X0: $tType] : ( product_prod(X0,X0) > X0 ) ).

tff(func_def_4436,type,
    sK3529: ( set(int) * int ) > int ).

tff(func_def_4437,type,
    sK3530: 
      !>[X0: $tType] : ( ( set(set(X0)) * set(X0) ) > set(X0) ) ).

tff(func_def_4438,type,
    sK3531: 
      !>[X0: $tType] : ( ( fun(set(X0),$o) * set(X0) ) > set(X0) ) ).

tff(func_def_4439,type,
    sK3532: 
      !>[X0: $tType] : ( ( fun(set(X0),$o) * set(X0) ) > X0 ) ).

tff(func_def_4440,type,
    sK3533: 
      !>[X0: $tType] : ( ( fun(X0,$o) * X0 ) > X0 ) ).

tff(func_def_4441,type,
    sK3534: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,fun(X1,$o)) * X0 ) > X1 ) ).

tff(func_def_4442,type,
    sK3535: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,fun(X1,$o)) * X1 ) > X0 ) ).

tff(func_def_4443,type,
    sK3536: 
      !>[X0: $tType] : ( ( list(X0) * X0 ) > nat ) ).

tff(func_def_4444,type,
    sK3537: 
      !>[X0: $tType] : ( ( set(set(X0)) * fun(set(X0),X0) ) > set(X0) ) ).

tff(func_def_4445,type,
    sK3538: 
      !>[X0: $tType] : ( ( set(set(X0)) * set(X0) ) > fun(set(X0),X0) ) ).

tff(func_def_4446,type,
    sK3539: 
      !>[X0: $tType] : ( ( set(set(X0)) * fun(set(X0),X0) ) > set(X0) ) ).

tff(func_def_4447,type,
    sK3540: 
      !>[X0: $tType] : ( ( set(set(X0)) * set(X0) ) > fun(set(X0),X0) ) ).

tff(func_def_4448,type,
    sK3541: 
      !>[X0: $tType] : ( ( set(filter(X0)) * filter(X0) ) > filter(X0) ) ).

tff(func_def_4449,type,
    sK3542: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_4450,type,
    sK3543: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_4451,type,
    sK3544: 
      !>[X0: $tType] : ( ( fun(X0,$o) * X0 ) > X0 ) ).

tff(func_def_4452,type,
    sK3545: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,option(X1)) * X1 ) > X0 ) ).

tff(func_def_4453,type,
    sK3546: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * X0 ) > X1 ) ).

tff(func_def_4454,type,
    sK3547: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,option(X1)) * product_prod(X0,X1) ) > X0 ) ).

tff(func_def_4455,type,
    sK3548: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,option(X1)) * product_prod(X0,X1) ) > X1 ) ).

tff(func_def_4456,type,
    sK3549: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * list(X0) * list(X0) ) > list(X0) ) ).

tff(func_def_4457,type,
    sK3550: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * list(X0) * list(X0) ) > X0 ) ).

tff(func_def_4458,type,
    sK3551: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * list(X0) * list(X0) ) > X0 ) ).

tff(func_def_4459,type,
    sK3552: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * list(X0) * list(X0) ) > list(X0) ) ).

tff(func_def_4460,type,
    sK3553: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * list(X0) * list(X0) ) > list(X0) ) ).

tff(func_def_4461,type,
    sK3554: 
      !>[X0: $tType] : ( ( fun(X0,$o) * set(X0) ) > X0 ) ).

tff(func_def_4462,type,
    sK3555: 
      !>[X0: $tType] : ( ( X0 * fun(X0,X0) * fun(X0,$o) ) > X0 ) ).

tff(func_def_4463,type,
    sK3556: 
      !>[X0: $tType] : ( ( X0 * fun(X0,$o) ) > set(X0) ) ).

tff(func_def_4464,type,
    sK3557: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) ) > X0 ) ).

tff(func_def_4465,type,
    sK3558: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) ) > list(X0) ) ).

tff(func_def_4466,type,
    sK3559: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) ) > X0 ) ).

tff(func_def_4467,type,
    sK3560: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) ) > X0 ) ).

tff(func_def_4468,type,
    sK3561: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) ) > list(X0) ) ).

tff(func_def_4469,type,
    sK3562: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) ) > list(X0) ) ).

tff(func_def_4470,type,
    sK3563: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) * fun(list(X0),fun(list(X0),$o)) ) > X0 ) ).

tff(func_def_4471,type,
    sK3564: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) * fun(list(X0),fun(list(X0),$o)) ) > X0 ) ).

tff(func_def_4472,type,
    sK3565: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) * fun(list(X0),fun(list(X0),$o)) ) > list(X0) ) ).

tff(func_def_4473,type,
    sK3566: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) * fun(list(X0),fun(list(X0),$o)) ) > list(X0) ) ).

tff(func_def_4474,type,
    sK3567: 
      !>[X0: $tType,X1: $tType] : ( ( list(X0) * list(X1) * product_prod(X0,X1) ) > nat ) ).

tff(func_def_4475,type,
    sK3568: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,X0) * product_prod(X1,X0) ) > X1 ) ).

tff(func_def_4476,type,
    sK3569: 
      !>[X0: $tType] : ( ( list(X0) * set(nat) * X0 ) > nat ) ).

tff(func_def_4477,type,
    sK3570: 
      !>[X0: $tType] : ( ( set(X0) * X0 * X0 ) > X0 ) ).

tff(func_def_4478,type,
    sK3571: 
      !>[X0: $tType] : ( ( set(X0) * X0 * X0 ) > X0 ) ).

tff(func_def_4479,type,
    sK3572: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * set(X1) * X0 ) > X1 ) ).

tff(func_def_4480,type,
    sK3573: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,set(X0)) * fun(X1,$o) * set(X0) ) > X1 ) ).

tff(func_def_4481,type,
    sK3574: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * fun(X1,$o) * X0 ) > X1 ) ).

tff(func_def_4482,type,
    sK3575: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,$o) * fun(X1,X0) * X0 ) > X1 ) ).

tff(func_def_4483,type,
    sK3576: 
      !>[X0: $tType] : ( ( fun(nat,X0) * fun(nat,real) * nat ) > nat ) ).

tff(func_def_4484,type,
    sK3577: 
      !>[X0: $tType] : ( ( fun(nat,X0) * fun(nat,real) * nat ) > nat ) ).

tff(func_def_4485,type,
    sK3578: 
      !>[X0: $tType] : ( ( fun(nat,X0) * fun(nat,real) * nat ) > nat ) ).

tff(func_def_4486,type,
    sK3579: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,$o) * fun(X0,fun(X1,$o)) * X0 ) > X1 ) ).

tff(func_def_4487,type,
    sK3580: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,set(X0)) * fun(X1,$o) * X0 ) > X1 ) ).

tff(func_def_4488,type,
    sK3581: 
      !>[X0: $tType] : ( ( fun(X0,X0) * X0 * X0 ) > nat ) ).

tff(func_def_4489,type,
    sK3582: 
      !>[X0: $tType,X1: $tType] : ( ( set(product_prod(X1,X1)) * fun(X1,X0) * product_prod(X0,X0) ) > X1 ) ).

tff(func_def_4490,type,
    sK3583: 
      !>[X0: $tType,X1: $tType] : ( ( set(product_prod(X1,X1)) * fun(X1,X0) * product_prod(X0,X0) ) > X1 ) ).

tff(func_def_4491,type,
    sK3584: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * list(X0) * list(X0) ) > X0 ) ).

tff(func_def_4492,type,
    sK3585: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * list(X0) * list(X0) ) > list(X0) ) ).

tff(func_def_4493,type,
    sK3586: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * list(X0) * list(X0) ) > list(X0) ) ).

tff(func_def_4494,type,
    sK3587: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * list(X0) * list(X0) ) > X0 ) ).

tff(func_def_4495,type,
    sK3588: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * list(X0) * list(X0) ) > X0 ) ).

tff(func_def_4496,type,
    sK3589: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * list(X0) * list(X0) ) > list(X0) ) ).

tff(func_def_4497,type,
    sK3590: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * list(X0) * list(X0) ) > list(X0) ) ).

tff(func_def_4498,type,
    sK3591: 
      !>[X0: $tType] : ( ( set(X0) * set(X0) * X0 ) > X0 ) ).

tff(func_def_4499,type,
    sK3592: 
      !>[X0: $tType] : ( ( set(X0) * set(X0) * X0 ) > X0 ) ).

tff(func_def_4500,type,
    sK3593: 
      !>[X0: $tType] : ( ( set(X0) * set(X0) * X0 ) > X0 ) ).

tff(func_def_4501,type,
    sK3594: 
      !>[X0: $tType] : ( ( set(X0) * set(X0) * X0 ) > X0 ) ).

tff(func_def_4502,type,
    sK3595: 
      !>[X0: $tType] : ( ( set(X0) * set(list(X0)) * list(X0) ) > X0 ) ).

tff(func_def_4503,type,
    sK3596: 
      !>[X0: $tType] : ( ( set(X0) * set(list(X0)) * list(X0) ) > list(X0) ) ).

tff(func_def_4504,type,
    sK3597: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * list(X0) * list(X0) ) > list(X0) ) ).

tff(func_def_4505,type,
    sK3598: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * list(X0) * list(X0) ) > X0 ) ).

tff(func_def_4506,type,
    sK3599: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * list(X0) * list(X0) ) > X0 ) ).

tff(func_def_4507,type,
    sK3600: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * list(X0) * list(X0) ) > list(X0) ) ).

tff(func_def_4508,type,
    sK3601: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * list(X0) * list(X0) ) > list(X0) ) ).

tff(func_def_4509,type,
    sK3602: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * list(X0) * list(X0) ) > X0 ) ).

tff(func_def_4510,type,
    sK3603: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * list(X0) * list(X0) ) > X0 ) ).

tff(func_def_4511,type,
    sK3604: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * list(X0) * list(X0) ) > list(X0) ) ).

tff(func_def_4512,type,
    sK3605: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * list(X0) * list(X0) ) > list(X0) ) ).

tff(func_def_4513,type,
    sK3606: 
      !>[X0: $tType] : ( ( X0 * X0 ) > X0 ) ).

tff(func_def_4514,type,
    sK3607: 
      !>[X0: $tType] : ( ( X0 * X0 * fun(X0,fun(X0,$o)) * fun(X0,fun(X0,$o)) ) > X0 ) ).

tff(func_def_4515,type,
    sK3608: 
      !>[X0: $tType] : ( ( X0 * X0 * fun(X0,fun(X0,$o)) * fun(X0,fun(X0,$o)) ) > X0 ) ).

tff(func_def_4516,type,
    sK3609: 
      !>[X0: $tType] : ( ( X0 * X0 * fun(X0,fun(X0,$o)) * fun(X0,fun(X0,$o)) ) > X0 ) ).

tff(func_def_4517,type,
    sK3610: 
      !>[X0: $tType] : ( ( X0 * X0 * fun(X0,fun(X0,$o)) * fun(X0,fun(X0,$o)) ) > X0 ) ).

tff(func_def_4518,type,
    sK3611: 
      !>[X0: $tType] : ( ( X0 * X0 * fun(X0,fun(X0,$o)) * fun(X0,fun(X0,$o)) ) > X0 ) ).

tff(func_def_4519,type,
    sK3612: 
      !>[X0: $tType] : ( ( X0 * X0 * fun(X0,fun(X0,$o)) * fun(X0,fun(X0,$o)) ) > X0 ) ).

tff(func_def_4520,type,
    sK3613: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,$o)) * X0 * X0 ) > X0 ) ).

tff(func_def_4521,type,
    sK3614: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,$o)) * X0 * X0 ) > X0 ) ).

tff(func_def_4522,type,
    sK3615: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) ) > X0 ) ).

tff(func_def_4523,type,
    sK3616: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) ) > list(X0) ) ).

tff(func_def_4524,type,
    sK3617: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) * fun(X0,fun(X0,$o)) ) > X0 ) ).

tff(func_def_4525,type,
    sK3618: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) * fun(X0,fun(X0,$o)) ) > X0 ) ).

tff(func_def_4526,type,
    sK3619: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) * fun(X0,fun(X0,$o)) ) > list(X0) ) ).

tff(func_def_4527,type,
    sK3620: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) * fun(X0,fun(X0,$o)) ) > list(X0) ) ).

tff(func_def_4528,type,
    sK3621: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) * fun(X0,fun(X0,$o)) * fun(list(X0),fun(list(X0),$o)) ) > X0 ) ).

tff(func_def_4529,type,
    sK3622: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) * fun(X0,fun(X0,$o)) * fun(list(X0),fun(list(X0),$o)) ) > X0 ) ).

tff(func_def_4530,type,
    sK3623: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) * fun(X0,fun(X0,$o)) * fun(list(X0),fun(list(X0),$o)) ) > list(X0) ) ).

tff(func_def_4531,type,
    sK3624: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) * fun(X0,fun(X0,$o)) * fun(list(X0),fun(list(X0),$o)) ) > list(X0) ) ).

tff(func_def_4532,type,
    sK3625: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( set(product_prod(X0,X2)) * set(product_prod(X2,X1)) * X0 * X1 ) > X2 ) ).

tff(func_def_4533,type,
    sK3626: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( set(X2) * fun(X2,X1) * fun(X2,X0) * product_prod(X1,X0) ) > X2 ) ).

tff(func_def_4534,type,
    sK3627: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( fun(X0,$o) * fun(X2,$o) * fun(X0,fun(X2,X1)) * X1 ) > X0 ) ).

tff(func_def_4535,type,
    sK3628: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( fun(X0,$o) * fun(X2,$o) * fun(X0,fun(X2,X1)) * X1 ) > X2 ) ).

tff(func_def_4536,type,
    sK3629: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * set(product_prod(X1,X1)) * fun(X0,X1) * product_prod(X0,X0) ) > X0 ) ).

tff(func_def_4537,type,
    sK3630: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * set(product_prod(X1,X1)) * fun(X0,X1) * product_prod(X0,X0) ) > X0 ) ).

tff(func_def_4538,type,
    sK3631: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( fun(X0,X1) * fun(X2,X1) * set(X0) * set(X2) * X1 ) > X0 ) ).

tff(func_def_4539,type,
    sK3632: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( fun(X0,X1) * fun(X2,X1) * set(X0) * set(X2) * X1 ) > X2 ) ).

tff(func_def_4540,type,
    sK3633: ( list(vEBT_VEBT) * vEBT_VEBT * nat ) > nat ).

tff(func_def_4541,type,
    sK3634: ( list(vEBT_VEBT) * vEBT_VEBT * nat ) > nat ).

tff(func_def_4542,type,
    sK3635: ( list(vEBT_VEBT) * nat ) > nat ).

tff(func_def_4543,type,
    sK3636: 
      !>[X0: $tType] : ( fun(X0,$o) > X0 ) ).

tff(pred_def_1,type,
    type: 
      !>[X0: $tType] : $o ).

tff(pred_def_2,type,
    size: 
      !>[X0: $tType] : $o ).

tff(pred_def_3,type,
    dvd: 
      !>[X0: $tType] : $o ).

tff(pred_def_4,type,
    one: 
      !>[X0: $tType] : $o ).

tff(pred_def_5,type,
    idom: 
      !>[X0: $tType] : $o ).

tff(pred_def_6,type,
    ring: 
      !>[X0: $tType] : $o ).

tff(pred_def_7,type,
    plus: 
      !>[X0: $tType] : $o ).

tff(pred_def_8,type,
    zero: 
      !>[X0: $tType] : $o ).

tff(pred_def_9,type,
    numeral: 
      !>[X0: $tType] : $o ).

tff(pred_def_10,type,
    power: 
      !>[X0: $tType] : $o ).

tff(pred_def_11,type,
    field: 
      !>[X0: $tType] : $o ).

tff(pred_def_12,type,
    ring_gcd: 
      !>[X0: $tType] : $o ).

tff(pred_def_13,type,
    abs_if: 
      !>[X0: $tType] : $o ).

tff(pred_def_14,type,
    ring_1: 
      !>[X0: $tType] : $o ).

tff(pred_def_15,type,
    uminus: 
      !>[X0: $tType] : $o ).

tff(pred_def_16,type,
    ord: 
      !>[X0: $tType] : $o ).

tff(pred_def_17,type,
    inverse: 
      !>[X0: $tType] : $o ).

tff(pred_def_18,type,
    semiring: 
      !>[X0: $tType] : $o ).

tff(pred_def_19,type,
    ring_char_0: 
      !>[X0: $tType] : $o ).

tff(pred_def_20,type,
    neg_numeral: 
      !>[X0: $tType] : $o ).

tff(pred_def_21,type,
    order: 
      !>[X0: $tType] : $o ).

tff(pred_def_22,type,
    comm_ring: 
      !>[X0: $tType] : $o ).

tff(pred_def_23,type,
    mult_zero: 
      !>[X0: $tType] : $o ).

tff(pred_def_24,type,
    semiring_Gcd: 
      !>[X0: $tType] : $o ).

tff(pred_def_25,type,
    semiring_gcd: 
      !>[X0: $tType] : $o ).

tff(pred_def_26,type,
    group_add: 
      !>[X0: $tType] : $o ).

tff(pred_def_27,type,
    lattice: 
      !>[X0: $tType] : $o ).

tff(pred_def_28,type,
    no_bot: 
      !>[X0: $tType] : $o ).

tff(pred_def_29,type,
    no_top: 
      !>[X0: $tType] : $o ).

tff(pred_def_30,type,
    semiring_0: 
      !>[X0: $tType] : $o ).

tff(pred_def_31,type,
    semiring_1: 
      !>[X0: $tType] : $o ).

tff(pred_def_32,type,
    monoid_add: 
      !>[X0: $tType] : $o ).

tff(pred_def_33,type,
    comm_ring_1: 
      !>[X0: $tType] : $o ).

tff(pred_def_34,type,
    idom_divide: 
      !>[X0: $tType] : $o ).

tff(pred_def_35,type,
    idom_modulo: 
      !>[X0: $tType] : $o ).

tff(pred_def_36,type,
    ln: 
      !>[X0: $tType] : $o ).

tff(pred_def_37,type,
    monoid_mult: 
      !>[X0: $tType] : $o ).

tff(pred_def_38,type,
    linorder: 
      !>[X0: $tType] : $o ).

tff(pred_def_39,type,
    preorder: 
      !>[X0: $tType] : $o ).

tff(pred_def_40,type,
    ring_parity: 
      !>[X0: $tType] : $o ).

tff(pred_def_41,type,
    idom_abs_sgn: 
      !>[X0: $tType] : $o ).

tff(pred_def_42,type,
    ordered_ring: 
      !>[X0: $tType] : $o ).

tff(pred_def_43,type,
    zero_neq_one: 
      !>[X0: $tType] : $o ).

tff(pred_def_44,type,
    field_char_0: 
      !>[X0: $tType] : $o ).

tff(pred_def_45,type,
    ab_group_add: 
      !>[X0: $tType] : $o ).

tff(pred_def_46,type,
    semiring_char_0: 
      !>[X0: $tType] : $o ).

tff(pred_def_47,type,
    order_bot: 
      !>[X0: $tType] : $o ).

tff(pred_def_48,type,
    order_top: 
      !>[X0: $tType] : $o ).

tff(pred_def_49,type,
    wellorder: 
      !>[X0: $tType] : $o ).

tff(pred_def_50,type,
    comm_semiring: 
      !>[X0: $tType] : $o ).

tff(pred_def_51,type,
    zero_less_one: 
      !>[X0: $tType] : $o ).

tff(pred_def_52,type,
    division_ring: 
      !>[X0: $tType] : $o ).

tff(pred_def_53,type,
    field_abs_sgn: 
      !>[X0: $tType] : $o ).

tff(pred_def_54,type,
    semigroup_add: 
      !>[X0: $tType] : $o ).

tff(pred_def_55,type,
    semiring_numeral: 
      !>[X0: $tType] : $o ).

tff(pred_def_56,type,
    semidom_divide: 
      !>[X0: $tType] : $o ).

tff(pred_def_57,type,
    semidom_modulo: 
      !>[X0: $tType] : $o ).

tff(pred_def_58,type,
    semigroup_mult: 
      !>[X0: $tType] : $o ).

tff(pred_def_59,type,
    dense_order: 
      !>[X0: $tType] : $o ).

tff(pred_def_60,type,
    comm_semiring_0: 
      !>[X0: $tType] : $o ).

tff(pred_def_61,type,
    comm_semiring_1: 
      !>[X0: $tType] : $o ).

tff(pred_def_62,type,
    linordered_idom: 
      !>[X0: $tType] : $o ).

tff(pred_def_63,type,
    linordered_ring: 
      !>[X0: $tType] : $o ).

tff(pred_def_64,type,
    semiring_modulo: 
      !>[X0: $tType] : $o ).

tff(pred_def_65,type,
    comm_monoid_add: 
      !>[X0: $tType] : $o ).

tff(pred_def_66,type,
    semiring_parity: 
      !>[X0: $tType] : $o ).

tff(pred_def_67,type,
    ordered_ring_abs: 
      !>[X0: $tType] : $o ).

tff(pred_def_68,type,
    ordered_semiring: 
      !>[X0: $tType] : $o ).

tff(pred_def_69,type,
    linordered_field: 
      !>[X0: $tType] : $o ).

tff(pred_def_70,type,
    ab_semigroup_add: 
      !>[X0: $tType] : $o ).

tff(pred_def_71,type,
    comm_monoid_diff: 
      !>[X0: $tType] : $o ).

tff(pred_def_72,type,
    comm_monoid_mult: 
      !>[X0: $tType] : $o ).

tff(pred_def_73,type,
    algebraic_semidom: 
      !>[X0: $tType] : $o ).

tff(pred_def_74,type,
    semiring_1_cancel: 
      !>[X0: $tType] : $o ).

tff(pred_def_75,type,
    ab_semigroup_mult: 
      !>[X0: $tType] : $o ).

tff(pred_def_76,type,
    bounded_lattice: 
      !>[X0: $tType] : $o ).

tff(pred_def_77,type,
    distrib_lattice: 
      !>[X0: $tType] : $o ).

tff(pred_def_78,type,
    semilattice_inf: 
      !>[X0: $tType] : $o ).

tff(pred_def_79,type,
    semilattice_sup: 
      !>[X0: $tType] : $o ).

tff(pred_def_80,type,
    dense_linorder: 
      !>[X0: $tType] : $o ).

tff(pred_def_81,type,
    linordered_semidom: 
      !>[X0: $tType] : $o ).

tff(pred_def_82,type,
    ordered_semiring_0: 
      !>[X0: $tType] : $o ).

tff(pred_def_83,type,
    real_Vector_banach: 
      !>[X0: $tType] : $o ).

tff(pred_def_84,type,
    linordered_semiring: 
      !>[X0: $tType] : $o ).

tff(pred_def_85,type,
    comple9053668089753744459l_ccpo: 
      !>[X0: $tType] : $o ).

tff(pred_def_86,type,
    finite8700451911770168679attice: 
      !>[X0: $tType] : $o ).

tff(pred_def_87,type,
    cancel_semigroup_add: 
      !>[X0: $tType] : $o ).

tff(pred_def_88,type,
    ordered_ab_group_add: 
      !>[X0: $tType] : $o ).

tff(pred_def_89,type,
    linord6961819062388156250ring_1: 
      !>[X0: $tType] : $o ).

tff(pred_def_90,type,
    ordere2520102378445227354miring: 
      !>[X0: $tType] : $o ).

tff(pred_def_91,type,
    topological_t2_space: 
      !>[X0: $tType] : $o ).

tff(pred_def_92,type,
    topological_t3_space: 
      !>[X0: $tType] : $o ).

tff(pred_def_93,type,
    topological_t4_space: 
      !>[X0: $tType] : $o ).

tff(pred_def_94,type,
    bit_semiring_bits: 
      !>[X0: $tType] : $o ).

tff(pred_def_95,type,
    topolo1633459387980952147up_add: 
      !>[X0: $tType] : $o ).

tff(pred_def_96,type,
    comm_s4317794764714335236cancel: 
      !>[X0: $tType] : $o ).

tff(pred_def_97,type,
    linord4710134922213307826strict: 
      !>[X0: $tType] : $o ).

tff(pred_def_98,type,
    cancel1802427076303600483id_add: 
      !>[X0: $tType] : $o ).

tff(pred_def_99,type,
    topolo6943815403480290642id_add: 
      !>[X0: $tType] : $o ).

tff(pred_def_100,type,
    real_V7773925162809079976_field: 
      !>[X0: $tType] : $o ).

tff(pred_def_101,type,
    ring_15535105094025558882visors: 
      !>[X0: $tType] : $o ).

tff(pred_def_102,type,
    cancel2418104881723323429up_add: 
      !>[X0: $tType] : $o ).

tff(pred_def_103,type,
    linord5086331880401160121up_add: 
      !>[X0: $tType] : $o ).

tff(pred_def_104,type,
    ordere6911136660526730532id_add: 
      !>[X0: $tType] : $o ).

tff(pred_def_105,type,
    topolo1898628316856586783d_mult: 
      !>[X0: $tType] : $o ).

tff(pred_def_106,type,
    real_V4867850818363320053vector: 
      !>[X0: $tType] : $o ).

tff(pred_def_107,type,
    archim2362893244070406136eiling: 
      !>[X0: $tType] : $o ).

tff(pred_def_108,type,
    semiri6843258321239162965malize: 
      !>[X0: $tType] : $o ).

tff(pred_def_109,type,
    ordere166539214618696060dd_abs: 
      !>[X0: $tType] : $o ).

tff(pred_def_110,type,
    ordere6658533253407199908up_add: 
      !>[X0: $tType] : $o ).

tff(pred_def_111,type,
    topolo1287966508704411220up_add: 
      !>[X0: $tType] : $o ).

tff(pred_def_112,type,
    real_V7819770556892013058_space: 
      !>[X0: $tType] : $o ).

tff(pred_def_113,type,
    semiri3467727345109120633visors: 
      !>[X0: $tType] : $o ).

tff(pred_def_114,type,
    boolea8198339166811842893lgebra: 
      !>[X0: $tType] : $o ).

tff(pred_def_115,type,
    linord8928482502909563296strict: 
      !>[X0: $tType] : $o ).

tff(pred_def_116,type,
    topolo7287701948861334536_space: 
      !>[X0: $tType] : $o ).

tff(pred_def_117,type,
    euclid5891614535332579305n_ring: 
      !>[X0: $tType] : $o ).

tff(pred_def_118,type,
    topolo4211221413907600880p_mult: 
      !>[X0: $tType] : $o ).

tff(pred_def_119,type,
    real_V8037385150606011577_space: 
      !>[X0: $tType] : $o ).

tff(pred_def_120,type,
    real_V2191834092415804123ebra_1: 
      !>[X0: $tType] : $o ).

tff(pred_def_121,type,
    linord181362715937106298miring: 
      !>[X0: $tType] : $o ).

tff(pred_def_122,type,
    semiri2026040879449505780visors: 
      !>[X0: $tType] : $o ).

tff(pred_def_123,type,
    topolo2564578578187576103pology: 
      !>[X0: $tType] : $o ).

tff(pred_def_124,type,
    bit_ri3973907225187159222ations: 
      !>[X0: $tType] : $o ).

tff(pred_def_125,type,
    comple6319245703460814977attice: 
      !>[X0: $tType] : $o ).

tff(pred_def_126,type,
    linord4140545234300271783up_add: 
      !>[X0: $tType] : $o ).

tff(pred_def_127,type,
    topolo5987344860129210374id_add: 
      !>[X0: $tType] : $o ).

tff(pred_def_128,type,
    unboun7993243217541854897norder: 
      !>[X0: $tType] : $o ).

tff(pred_def_129,type,
    real_V768167426530841204y_dist: 
      !>[X0: $tType] : $o ).

tff(pred_def_130,type,
    linord715952674999750819strict: 
      !>[X0: $tType] : $o ).

tff(pred_def_131,type,
    archim462609752435547400_field: 
      !>[X0: $tType] : $o ).

tff(pred_def_132,type,
    comple5582772986160207858norder: 
      !>[X0: $tType] : $o ).

tff(pred_def_133,type,
    topolo4987421752381908075d_mult: 
      !>[X0: $tType] : $o ).

tff(pred_def_134,type,
    real_V5047593784448816457lgebra: 
      !>[X0: $tType] : $o ).

tff(pred_def_135,type,
    bounde4346867609351753570nf_top: 
      !>[X0: $tType] : $o ).

tff(pred_def_136,type,
    bounde4967611905675639751up_bot: 
      !>[X0: $tType] : $o ).

tff(pred_def_137,type,
    real_V3459762299906320749_field: 
      !>[X0: $tType] : $o ).

tff(pred_def_138,type,
    topolo1944317154257567458pology: 
      !>[X0: $tType] : $o ).

tff(pred_def_139,type,
    topolo4958980785337419405_space: 
      !>[X0: $tType] : $o ).

tff(pred_def_140,type,
    euclid3725896446679973847miring: 
      !>[X0: $tType] : $o ).

tff(pred_def_141,type,
    canoni5634975068530333245id_add: 
      !>[X0: $tType] : $o ).

tff(pred_def_142,type,
    ordere8940638589300402666id_add: 
      !>[X0: $tType] : $o ).

tff(pred_def_143,type,
    strict7427464778891057005id_add: 
      !>[X0: $tType] : $o ).

tff(pred_def_144,type,
    real_V822414075346904944vector: 
      !>[X0: $tType] : $o ).

tff(pred_def_145,type,
    linord2810124833399127020strict: 
      !>[X0: $tType] : $o ).

tff(pred_def_146,type,
    bit_se359711467146920520ations: 
      !>[X0: $tType] : $o ).

tff(pred_def_147,type,
    ordere2412721322843649153imp_le: 
      !>[X0: $tType] : $o ).

tff(pred_def_148,type,
    ordere580206878836729694up_add: 
      !>[X0: $tType] : $o ).

tff(pred_def_149,type,
    ordere1170586879665033532d_diff: 
      !>[X0: $tType] : $o ).

tff(pred_def_150,type,
    strict9044650504122735259up_add: 
      !>[X0: $tType] : $o ).

tff(pred_def_151,type,
    real_V5355595471888546746vector: 
      !>[X0: $tType] : $o ).

tff(pred_def_152,type,
    real_V4412858255891104859lgebra: 
      !>[X0: $tType] : $o ).

tff(pred_def_153,type,
    semiri6575147826004484403cancel: 
      !>[X0: $tType] : $o ).

tff(pred_def_154,type,
    euclid8851590272496341667cancel: 
      !>[X0: $tType] : $o ).

tff(pred_def_155,type,
    real_V2822296259951069270ebra_1: 
      !>[X0: $tType] : $o ).

tff(pred_def_156,type,
    unique1627219031080169319umeral: 
      !>[X0: $tType] : $o ).

tff(pred_def_157,type,
    comple592849572758109894attice: 
      !>[X0: $tType] : $o ).

tff(pred_def_158,type,
    real_V8999393235501362500lgebra: 
      !>[X0: $tType] : $o ).

tff(pred_def_159,type,
    topolo3112930676232923870pology: 
      !>[X0: $tType] : $o ).

tff(pred_def_160,type,
    euclid4440199948858584721cancel: 
      !>[X0: $tType] : $o ).

tff(pred_def_161,type,
    euclid3128863361964157862miring: 
      !>[X0: $tType] : $o ).

tff(pred_def_162,type,
    topolo8458572112393995274pology: 
      !>[X0: $tType] : $o ).

tff(pred_def_163,type,
    ordere1937475149494474687imp_le: 
      !>[X0: $tType] : $o ).

tff(pred_def_164,type,
    condit5016429287641298734tinuum: 
      !>[X0: $tType] : $o ).

tff(pred_def_165,type,
    euclid8789492081693882211th_nat: 
      !>[X0: $tType] : $o ).

tff(pred_def_166,type,
    euclid5411537665997757685th_nat: 
      !>[X0: $tType] : $o ).

tff(pred_def_167,type,
    counta3822494911875563373attice: 
      !>[X0: $tType] : $o ).

tff(pred_def_168,type,
    semiri1453513574482234551roduct: 
      !>[X0: $tType] : $o ).

tff(pred_def_169,type,
    bit_un5681908812861735899ations: 
      !>[X0: $tType] : $o ).

tff(pred_def_170,type,
    condit1219197933456340205attice: 
      !>[X0: $tType] : $o ).

tff(pred_def_171,type,
    counta4013691401010221786attice: 
      !>[X0: $tType] : $o ).

tff(pred_def_172,type,
    condit6923001295902523014norder: 
      !>[X0: $tType] : $o ).

tff(pred_def_173,type,
    boolea2506097494486148201lgebra: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,X0)) * fun(X0,fun(X0,X0)) * fun(X0,X0) * X0 * X0 ) > $o ) ).

tff(pred_def_174,type,
    boolea3799213064322606851m_diff: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,X0)) * fun(X0,fun(X0,X0)) * fun(X0,X0) * X0 * X0 * fun(X0,fun(X0,X0)) ) > $o ) ).

tff(pred_def_175,type,
    comple1602240252501008431_chain: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,$o)) * set(X0) ) > $o ) ).

tff(pred_def_176,type,
    countable_countable: 
      !>[X0: $tType] : ( set(X0) > $o ) ).

tff(pred_def_177,type,
    differentiable: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * filter(X0) ) > $o ) ).

tff(pred_def_178,type,
    has_derivative: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * fun(X0,X1) * filter(X0) ) > $o ) ).

tff(pred_def_179,type,
    has_field_derivative: 
      !>[X0: $tType] : ( ( fun(X0,X0) * X0 * filter(X0) ) > $o ) ).

tff(pred_def_180,type,
    eucl_rel_int: ( int * int * product_prod(int,int) ) > $o ).

tff(pred_def_181,type,
    unique5940410009612947441es_aux: 
      !>[X0: $tType] : ( product_prod(X0,X0) > $o ) ).

tff(pred_def_182,type,
    eventually: 
      !>[X0: $tType] : ( ( fun(X0,$o) * filter(X0) ) > $o ) ).

tff(pred_def_183,type,
    filterlim: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * filter(X1) * filter(X0) ) > $o ) ).

tff(pred_def_184,type,
    finite4664212375090638736ute_on: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,fun(X1,X1)) ) > $o ) ).

tff(pred_def_185,type,
    finite673082921795544331dem_on: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,fun(X1,X1)) ) > $o ) ).

tff(pred_def_186,type,
    finite_fold_graph: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,fun(X1,X1)) * X1 * set(X0) * X1 ) > $o ) ).

tff(pred_def_187,type,
    finite1890593828518410140dem_on: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,fun(X1,X1)) ) > $o ) ).

tff(pred_def_188,type,
    finite_folding_on: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,fun(X1,X1)) ) > $o ) ).

tff(pred_def_189,type,
    bij_betw: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * set(X0) * set(X1) ) > $o ) ).

tff(pred_def_190,type,
    inj_on: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * set(X0) ) > $o ) ).

tff(pred_def_191,type,
    strict_mono_on: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * set(X0) ) > $o ) ).

tff(pred_def_192,type,
    nO_MATCH: 
      !>[X0: $tType,X1: $tType] : ( ( X0 * X1 ) > $o ) ).

tff(pred_def_193,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_194,type,
    bfun: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * filter(X0) ) > $o ) ).

tff(pred_def_195,type,
    distinct: 
      !>[X0: $tType] : ( list(X0) > $o ) ).

tff(pred_def_196,type,
    folding_insort_key: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,fun(X0,$o)) * fun(X0,fun(X0,$o)) * set(X1) * fun(X1,X0) ) > $o ) ).

tff(pred_def_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,
    sorted_wrt: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,$o)) * list(X0) ) > $o ) ).

tff(pred_def_200,type,
    ring_1_iszero: 
      !>[X0: $tType] : ( X0 > $o ) ).

tff(pred_def_201,type,
    order_antimono: 
      !>[X0: $tType,X1: $tType] : ( fun(X0,X1) > $o ) ).

tff(pred_def_202,type,
    order_mono: 
      !>[X0: $tType,X1: $tType] : ( fun(X0,X1) > $o ) ).

tff(pred_def_203,type,
    order_strict_mono: 
      !>[X0: $tType,X1: $tType] : ( fun(X0,X1) > $o ) ).

tff(pred_def_204,type,
    real_V3181309239436604168linear: 
      !>[X0: $tType,X1: $tType] : ( fun(X0,X1) > $o ) ).

tff(pred_def_205,type,
    real_V4916620083959148203axioms: 
      !>[X0: $tType,X1: $tType] : ( fun(X0,X1) > $o ) ).

tff(pred_def_206,type,
    irrefl: 
      !>[X0: $tType] : ( set(product_prod(X0,X0)) > $o ) ).

tff(pred_def_207,type,
    refl_on: 
      !>[X0: $tType] : ( ( set(X0) * set(product_prod(X0,X0)) ) > $o ) ).

tff(pred_def_208,type,
    dvd_dvd: 
      !>[X0: $tType] : ( ( X0 * X0 ) > $o ) ).

tff(pred_def_209,type,
    summable: 
      !>[X0: $tType] : ( fun(nat,X0) > $o ) ).

tff(pred_def_210,type,
    sums: 
      !>[X0: $tType] : ( ( fun(nat,X0) * X0 ) > $o ) ).

tff(pred_def_211,type,
    topolo3448309680560233919inuous: 
      !>[X0: $tType,X1: $tType] : ( ( filter(X0) * fun(X0,X1) ) > $o ) ).

tff(pred_def_212,type,
    topolo81223032696312382ous_on: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,X1) ) > $o ) ).

tff(pred_def_213,type,
    topological_monoseq: 
      !>[X0: $tType] : ( fun(nat,X0) > $o ) ).

tff(pred_def_214,type,
    topolo1002775350975398744n_open: 
      !>[X0: $tType] : ( set(X0) > $o ) ).

tff(pred_def_215,type,
    topolo7761053866217962861closed: 
      !>[X0: $tType] : ( set(X0) > $o ) ).

tff(pred_def_216,type,
    topolo2193935891317330818ompact: 
      !>[X0: $tType] : ( set(X0) > $o ) ).

tff(pred_def_217,type,
    topolo3814608138187158403Cauchy: 
      !>[X0: $tType] : ( fun(nat,X0) > $o ) ).

tff(pred_def_218,type,
    topolo6773858410816713723filter: 
      !>[X0: $tType] : ( filter(X0) > $o ) ).

tff(pred_def_219,type,
    topolo2479028161051973599mplete: 
      !>[X0: $tType] : ( set(X0) > $o ) ).

tff(pred_def_220,type,
    topolo6688025880775521714ounded: 
      !>[X0: $tType] : ( set(X0) > $o ) ).

tff(pred_def_221,type,
    vEBT_V5917875025757280293ildren: ( nat * list(vEBT_VEBT) * nat ) > $o ).

tff(pred_def_222,type,
    vEBT_VEBT_membermima: ( vEBT_VEBT * nat ) > $o ).

tff(pred_def_223,type,
    vEBT_V5719532721284313246member: ( vEBT_VEBT * nat ) > $o ).

tff(pred_def_224,type,
    vEBT_VEBT_valid: ( vEBT_VEBT * nat ) > $o ).

tff(pred_def_225,type,
    vEBT_invar_vebt: ( vEBT_VEBT * nat ) > $o ).

tff(pred_def_226,type,
    member: 
      !>[X0: $tType] : ( ( X0 * set(X0) ) > $o ) ).

tff(pred_def_227,type,
    ':=': 
      !>[X0: $tType] : ( ( X0 * X0 ) > $o ) ).

tff(pred_def_228,type,
    iG94: ( nat * $o ) > $o ).

tff(pred_def_229,type,
    iG95: ( nat * $o * $o ) > $o ).

tff(pred_def_230,type,
    iG110: 
      !>[X0: $tType] : ( ( num * X0 * X0 ) > $o ) ).

tff(pred_def_231,type,
    iG111: 
      !>[X0: $tType] : ( ( num * X0 * X0 ) > $o ) ).

tff(pred_def_232,type,
    iG128: 
      !>[X0: $tType] : ( ( X0 * X0 * X0 ) > $o ) ).

tff(pred_def_233,type,
    iG129: 
      !>[X0: $tType] : ( ( X0 * X0 * X0 ) > $o ) ).

tff(pred_def_234,type,
    iG138: 
      !>[X0: $tType] : ( ( X0 * num * X0 ) > $o ) ).

tff(pred_def_235,type,
    iG139: 
      !>[X0: $tType] : ( ( X0 * num * X0 ) > $o ) ).

tff(pred_def_236,type,
    iG160: ( int * int * int ) > $o ).

tff(pred_def_237,type,
    iG161: ( int * int * int ) > $o ).

tff(pred_def_238,type,
    iG181: 
      !>[X0: $tType] : ( ( num * X0 * X0 ) > $o ) ).

tff(pred_def_239,type,
    iG182: 
      !>[X0: $tType] : ( ( num * X0 * X0 ) > $o ) ).

tff(pred_def_240,type,
    iG187: 
      !>[X0: $tType] : ( ( X0 * X0 * X0 ) > $o ) ).

tff(pred_def_241,type,
    iG188: 
      !>[X0: $tType] : ( ( X0 * X0 * X0 ) > $o ) ).

tff(pred_def_242,type,
    iG195: 
      !>[X0: $tType] : ( ( X0 * num * X0 ) > $o ) ).

tff(pred_def_243,type,
    iG196: 
      !>[X0: $tType] : ( ( X0 * num * X0 ) > $o ) ).

tff(pred_def_244,type,
    iG288: ( int * nat ) > $o ).

tff(pred_def_245,type,
    iG289: ( int * nat ) > $o ).

tff(pred_def_246,type,
    iG291: ( int * nat ) > $o ).

tff(pred_def_247,type,
    iG304: ( list(vEBT_VEBT) * nat * nat ) > $o ).

tff(pred_def_248,type,
    iG306: ( list(vEBT_VEBT) * nat * nat ) > $o ).

tff(pred_def_249,type,
    iG310: ( list(vEBT_VEBT) * nat * nat ) > $o ).

tff(pred_def_250,type,
    iG312: ( list(vEBT_VEBT) * nat * nat ) > $o ).

tff(pred_def_251,type,
    iG327: ( list(vEBT_VEBT) * nat * nat ) > $o ).

tff(pred_def_252,type,
    iG329: ( list(vEBT_VEBT) * nat * nat ) > $o ).

tff(pred_def_253,type,
    iG331: ( list(vEBT_VEBT) * nat * nat ) > $o ).

tff(pred_def_254,type,
    iG333: ( list(vEBT_VEBT) * nat * nat ) > $o ).

tff(pred_def_255,type,
    iG334: ( nat * $o ) > $o ).

tff(pred_def_256,type,
    iG335: ( nat * $o * $o ) > $o ).

tff(pred_def_257,type,
    iG339: ( list(vEBT_VEBT) * nat * nat ) > $o ).

tff(pred_def_258,type,
    iG340: ( nat * $o ) > $o ).

tff(pred_def_259,type,
    iG341: ( nat * $o * $o ) > $o ).

tff(pred_def_260,type,
    iG345: ( list(vEBT_VEBT) * nat * nat ) > $o ).

tff(pred_def_261,type,
    iG346: ( nat * $o ) > $o ).

tff(pred_def_262,type,
    iG347: ( nat * $o * $o ) > $o ).

tff(pred_def_263,type,
    iG351: ( list(vEBT_VEBT) * nat * nat ) > $o ).

tff(pred_def_264,type,
    iG353: ( list(vEBT_VEBT) * nat * nat ) > $o ).

tff(pred_def_265,type,
    iG370: ( list(vEBT_VEBT) * nat * nat ) > $o ).

tff(pred_def_266,type,
    iG376: ( list(vEBT_VEBT) * nat * nat ) > $o ).

tff(pred_def_267,type,
    iG378: ( list(vEBT_VEBT) * nat * nat ) > $o ).

tff(pred_def_268,type,
    iG384: ( list(vEBT_VEBT) * nat * nat ) > $o ).

tff(pred_def_269,type,
    iG386: ( list(vEBT_VEBT) * nat * nat ) > $o ).

tff(pred_def_270,type,
    iG388: ( list(vEBT_VEBT) * nat * nat ) > $o ).

tff(pred_def_271,type,
    iG389: ( nat * $o ) > $o ).

tff(pred_def_272,type,
    iG390: ( nat * $o * $o ) > $o ).

tff(pred_def_273,type,
    iG396: ( list(vEBT_VEBT) * nat * nat ) > $o ).

tff(pred_def_274,type,
    iG397: ( nat * $o ) > $o ).

tff(pred_def_275,type,
    iG398: ( nat * $o * $o ) > $o ).

tff(pred_def_276,type,
    iG595: ( real * real * real ) > $o ).

tff(pred_def_277,type,
    iG637: 
      !>[X0: $tType] : ( ( list(list(X0)) * list(X0) * list(X0) ) > $o ) ).

tff(pred_def_278,type,
    iG659: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) * list(X0) * list(X0) ) > $o ) ).

tff(pred_def_279,type,
    iG775: ( nat * nat * list(vEBT_VEBT) * nat * nat ) > $o ).

tff(pred_def_280,type,
    sP778: ( nat * nat * list(vEBT_VEBT) * nat * nat ) > $o ).

tff(pred_def_281,type,
    sP779: ( vEBT_VEBT * list(vEBT_VEBT) * nat ) > $o ).

tff(pred_def_282,type,
    sP780: 
      !>[X0: $tType] : ( ( X0 * X0 * X0 ) > $o ) ).

tff(pred_def_283,type,
    sP781: 
      !>[X0: $tType] : ( ( X0 * X0 * X0 ) > $o ) ).

tff(pred_def_284,type,
    sP782: 
      !>[X0: $tType] : ( ( X0 * X0 * X0 ) > $o ) ).

tff(pred_def_285,type,
    sP783: ( nat * nat * list(vEBT_VEBT) * nat * nat ) > $o ).

tff(pred_def_286,type,
    sP784: ( vEBT_VEBT * list(vEBT_VEBT) * nat ) > $o ).

tff(pred_def_287,type,
    sP785: ( nat * nat * list(vEBT_VEBT) * nat ) > $o ).

tff(pred_def_288,type,
    sP786: ( list(vEBT_VEBT) * nat * nat ) > $o ).

tff(pred_def_289,type,
    sP787: ( vEBT_VEBT * list(vEBT_VEBT) * nat ) > $o ).

tff(pred_def_290,type,
    sP788: ( nat * nat * list(vEBT_VEBT) * nat ) > $o ).

tff(pred_def_291,type,
    sP789: ( list(vEBT_VEBT) * nat * nat ) > $o ).

tff(pred_def_292,type,
    sP790: ( vEBT_VEBT * list(vEBT_VEBT) * nat ) > $o ).

tff(pred_def_293,type,
    sP791: ( vEBT_VEBT * nat ) > $o ).

tff(pred_def_294,type,
    sP792: ( vEBT_VEBT * nat ) > $o ).

tff(pred_def_295,type,
    sP793: ( vEBT_VEBT * nat ) > $o ).

tff(pred_def_296,type,
    sP794: ( vEBT_VEBT * nat ) > $o ).

tff(pred_def_297,type,
    sP795: ( nat * nat * list(vEBT_VEBT) * nat * nat ) > $o ).

tff(pred_def_298,type,
    sP796: ( vEBT_VEBT * list(vEBT_VEBT) * nat ) > $o ).

tff(pred_def_299,type,
    sP797: ( nat * nat * list(vEBT_VEBT) * nat * nat ) > $o ).

tff(pred_def_300,type,
    sP798: ( vEBT_VEBT * list(vEBT_VEBT) * nat ) > $o ).

tff(pred_def_301,type,
    sP799: ( nat * vEBT_VEBT ) > $o ).

tff(pred_def_302,type,
    sP800: ( nat * vEBT_VEBT ) > $o ).

tff(pred_def_303,type,
    sP801: ( nat * vEBT_VEBT ) > $o ).

tff(pred_def_304,type,
    sP802: ( nat * vEBT_VEBT ) > $o ).

tff(pred_def_305,type,
    sP803: 
      !>[X0: $tType,X1: $tType] : ( ( option(X0) * option(X1) * fun(option(X1),fun(option(X0),$o)) ) > $o ) ).

tff(pred_def_306,type,
    sP804: ( fun(int,$o) * int * int ) > $o ).

tff(pred_def_307,type,
    sP805: ( fun(int,$o) * int * int ) > $o ).

tff(pred_def_308,type,
    sP806: ( fun(int,$o) * int * int ) > $o ).

tff(pred_def_309,type,
    sP807: ( fun(int,$o) * int * int ) > $o ).

tff(pred_def_310,type,
    sP808: ( fun(nat,$o) * nat * nat ) > $o ).

tff(pred_def_311,type,
    sP809: ( nat * fun(nat,$o) * nat ) > $o ).

tff(pred_def_312,type,
    sP810: 
      !>[X0: $tType] : ( ( fun(X0,$o) * fun(X0,$o) * fun(X0,$o) * fun(X0,$o) ) > $o ) ).

tff(pred_def_313,type,
    sP811: 
      !>[X0: $tType] : ( ( fun(X0,$o) * fun(X0,$o) * fun(X0,$o) * fun(X0,$o) ) > $o ) ).

tff(pred_def_314,type,
    sP812: 
      !>[X0: $tType] : ( ( fun(X0,$o) * fun(X0,$o) * fun(X0,$o) * fun(X0,$o) ) > $o ) ).

tff(pred_def_315,type,
    sP813: 
      !>[X0: $tType] : ( ( fun(X0,$o) * fun(X0,$o) * fun(X0,$o) * fun(X0,$o) ) > $o ) ).

tff(pred_def_316,type,
    sP814: ( fun(int,$o) * int ) > $o ).

tff(pred_def_317,type,
    sP815: fun(int,$o) > $o ).

tff(pred_def_318,type,
    sP816: ( fun(real,fun(real,$o)) * real * real ) > $o ).

tff(pred_def_319,type,
    sP817: ( fun(nat,int) * nat * nat ) > $o ).

tff(pred_def_320,type,
    sP818: ( int * int * product_prod(int,int) ) > $o ).

tff(pred_def_321,type,
    sP819: ( int * int * product_prod(int,int) ) > $o ).

tff(pred_def_322,type,
    sP820: ( int * int * product_prod(int,int) ) > $o ).

tff(pred_def_323,type,
    sP821: ( nat * vEBT_VEBT ) > $o ).

tff(pred_def_324,type,
    sP822: ( nat * $o * vEBT_VEBT ) > $o ).

tff(pred_def_325,type,
    sP823: ( nat * $o * vEBT_VEBT ) > $o ).

tff(pred_def_326,type,
    sP824: ( nat * $o * vEBT_VEBT ) > $o ).

tff(pred_def_327,type,
    sP825: ( nat * $o * vEBT_VEBT ) > $o ).

tff(pred_def_328,type,
    sP826: ( nat * $o * vEBT_VEBT ) > $o ).

tff(pred_def_329,type,
    sP827: ( nat * $o * vEBT_VEBT ) > $o ).

tff(pred_def_330,type,
    sP828: ( nat * $o * vEBT_VEBT ) > $o ).

tff(pred_def_331,type,
    sP829: ( nat * $o * vEBT_VEBT ) > $o ).

tff(pred_def_332,type,
    sP830: ( nat * $o * vEBT_VEBT ) > $o ).

tff(pred_def_333,type,
    sP831: ( nat * vEBT_VEBT ) > $o ).

tff(pred_def_334,type,
    sP832: ( nat * vEBT_VEBT ) > $o ).

tff(pred_def_335,type,
    sP833: ( nat * vEBT_VEBT ) > $o ).

tff(pred_def_336,type,
    sP834: ( nat * vEBT_VEBT ) > $o ).

tff(pred_def_337,type,
    sP835: ( nat * vEBT_VEBT ) > $o ).

tff(pred_def_338,type,
    sP836: ( nat * vEBT_VEBT ) > $o ).

tff(pred_def_339,type,
    sP837: ( nat * vEBT_VEBT ) > $o ).

tff(pred_def_340,type,
    sP838: ( nat * $o * vEBT_VEBT ) > $o ).

tff(pred_def_341,type,
    sP839: ( nat * $o * vEBT_VEBT ) > $o ).

tff(pred_def_342,type,
    sP840: ( vEBT_VEBT * nat ) > $o ).

tff(pred_def_343,type,
    sP841: ( vEBT_VEBT * nat ) > $o ).

tff(pred_def_344,type,
    sP842: ( int * fun(int,$o) * set(int) * fun(int,$o) ) > $o ).

tff(pred_def_345,type,
    sP843: ( int * fun(int,$o) * set(int) * fun(int,$o) ) > $o ).

tff(pred_def_346,type,
    sP844: 
      !>[X0: $tType] : ( ( fun(X0,$o) * fun(X0,fun(X0,$o)) ) > $o ) ).

tff(pred_def_347,type,
    sP845: 
      !>[X0: $tType] : ( ( fun(nat,X0) * nat ) > $o ) ).

tff(pred_def_348,type,
    sP846: ( fun(nat,nat) * nat ) > $o ).

tff(pred_def_349,type,
    sP847: ( num * num * num ) > $o ).

tff(pred_def_350,type,
    sP848: ( num * num * num ) > $o ).

tff(pred_def_351,type,
    sP849: ( num * num * num ) > $o ).

tff(pred_def_352,type,
    sP850: ( num * num * num ) > $o ).

tff(pred_def_353,type,
    sP851: ( num * num * num ) > $o ).

tff(pred_def_354,type,
    sP852: ( num * num * num ) > $o ).

tff(pred_def_355,type,
    sP853: ( num * num * num ) > $o ).

tff(pred_def_356,type,
    sP854: ( num * num * num ) > $o ).

tff(pred_def_357,type,
    sP855: ( num * num * num ) > $o ).

tff(pred_def_358,type,
    sP856: ( num * num * num ) > $o ).

tff(pred_def_359,type,
    sP857: ( num * num * num ) > $o ).

tff(pred_def_360,type,
    sP858: ( num * num * num ) > $o ).

tff(pred_def_361,type,
    sP859: ( num * num * num ) > $o ).

tff(pred_def_362,type,
    sP860: ( num * num * num ) > $o ).

tff(pred_def_363,type,
    sP861: ( num * num * num ) > $o ).

tff(pred_def_364,type,
    sP862: ( num * num * num ) > $o ).

tff(pred_def_365,type,
    sP863: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * fun(X0,X1) * set(X1) * set(X1) ) > $o ) ).

tff(pred_def_366,type,
    sP864: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * set(X0) * fun(X1,X0) * set(X1) * set(X1) ) > $o ) ).

tff(pred_def_367,type,
    sP865: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * fun(X0,X1) * set(X1) * set(X1) ) > $o ) ).

tff(pred_def_368,type,
    sP866: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * set(X0) * fun(X1,X0) * set(X1) * set(X1) ) > $o ) ).

tff(pred_def_369,type,
    sP867: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,fun(X1,$o)) * set(X1) * set(X0) ) > $o ) ).

tff(pred_def_370,type,
    sP868: 
      !>[X0: $tType] : ( ( fun(set(X0),$o) * set(X0) ) > $o ) ).

tff(pred_def_371,type,
    sP869: ( int * int * fun(int,$o) ) > $o ).

tff(pred_def_372,type,
    sP870: ( int * int * fun(int,$o) ) > $o ).

tff(pred_def_373,type,
    sP871: ( int * int * fun(int,$o) ) > $o ).

tff(pred_def_374,type,
    sP872: ( nat * vEBT_VEBT ) > $o ).

tff(pred_def_375,type,
    sP873: ( nat * $o * vEBT_VEBT ) > $o ).

tff(pred_def_376,type,
    sP874: ( nat * nat * list(vEBT_VEBT) * vEBT_VEBT * option(product_prod(nat,nat)) * $o ) > $o ).

tff(pred_def_377,type,
    sP875: ( nat * $o * vEBT_VEBT ) > $o ).

tff(pred_def_378,type,
    sP876: ( nat * vEBT_VEBT ) > $o ).

tff(pred_def_379,type,
    sP877: ( nat * vEBT_VEBT ) > $o ).

tff(pred_def_380,type,
    sP878: ( option(num) * num * num ) > $o ).

tff(pred_def_381,type,
    sP879: ( option(num) * num * num ) > $o ).

tff(pred_def_382,type,
    sP880: ( option(num) * num * num ) > $o ).

tff(pred_def_383,type,
    sP881: ( option(num) * num * num ) > $o ).

tff(pred_def_384,type,
    sP882: ( option(num) * num * num ) > $o ).

tff(pred_def_385,type,
    sP883: ( option(num) * num * num ) > $o ).

tff(pred_def_386,type,
    sP884: ( option(num) * num * num ) > $o ).

tff(pred_def_387,type,
    sP885: ( option(num) * num * num ) > $o ).

tff(pred_def_388,type,
    sP886: ( option(num) * num * num ) > $o ).

tff(pred_def_389,type,
    sP887: ( option(num) * num * num ) > $o ).

tff(pred_def_390,type,
    sP888: ( option(num) * num * num ) > $o ).

tff(pred_def_391,type,
    sP889: ( option(num) * num * num ) > $o ).

tff(pred_def_392,type,
    sP890: ( option(num) * num * num ) > $o ).

tff(pred_def_393,type,
    sP891: ( option(num) * num * num ) > $o ).

tff(pred_def_394,type,
    sP892: ( option(num) * num * num ) > $o ).

tff(pred_def_395,type,
    sP893: ( option(num) * num * num ) > $o ).

tff(pred_def_396,type,
    sP894: ( option(num) * num * num ) > $o ).

tff(pred_def_397,type,
    sP895: ( option(num) * num * num ) > $o ).

tff(pred_def_398,type,
    sP896: ( option(num) * num * num ) > $o ).

tff(pred_def_399,type,
    sP897: ( option(num) * num * num ) > $o ).

tff(pred_def_400,type,
    sP898: ( option(num) * num * num ) > $o ).

tff(pred_def_401,type,
    sP899: ( option(num) * num * num ) > $o ).

tff(pred_def_402,type,
    sP900: ( option(num) * num * num ) > $o ).

tff(pred_def_403,type,
    sP901: ( option(num) * num * num ) > $o ).

tff(pred_def_404,type,
    sP902: ( option(num) * num * num ) > $o ).

tff(pred_def_405,type,
    sP903: ( option(num) * num * num ) > $o ).

tff(pred_def_406,type,
    sP904: ( option(num) * num * num ) > $o ).

tff(pred_def_407,type,
    sP905: ( option(num) * num * num ) > $o ).

tff(pred_def_408,type,
    sP906: ( option(num) * num * num ) > $o ).

tff(pred_def_409,type,
    sP907: ( option(num) * num * num ) > $o ).

tff(pred_def_410,type,
    sP908: ( option(num) * num * num ) > $o ).

tff(pred_def_411,type,
    sP909: ( option(num) * num * num ) > $o ).

tff(pred_def_412,type,
    sP910: ( option(num) * num * num ) > $o ).

tff(pred_def_413,type,
    sP911: ( option(num) * num * num ) > $o ).

tff(pred_def_414,type,
    sP912: ( option(num) * num * num ) > $o ).

tff(pred_def_415,type,
    sP913: ( option(num) * num * num ) > $o ).

tff(pred_def_416,type,
    sP914: ( option(num) * num * num ) > $o ).

tff(pred_def_417,type,
    sP915: ( option(num) * num * num ) > $o ).

tff(pred_def_418,type,
    sP916: ( option(num) * num * num ) > $o ).

tff(pred_def_419,type,
    sP917: ( option(num) * num * num ) > $o ).

tff(pred_def_420,type,
    sP918: ( option(num) * num * num ) > $o ).

tff(pred_def_421,type,
    sP919: ( option(num) * num * num ) > $o ).

tff(pred_def_422,type,
    sP920: ( option(num) * num * num ) > $o ).

tff(pred_def_423,type,
    sP921: ( option(num) * num * num ) > $o ).

tff(pred_def_424,type,
    sP922: ( option(num) * num * num ) > $o ).

tff(pred_def_425,type,
    sP923: ( option(num) * num * num ) > $o ).

tff(pred_def_426,type,
    sP924: ( option(num) * num * num ) > $o ).

tff(pred_def_427,type,
    sP925: ( option(num) * num * num ) > $o ).

tff(pred_def_428,type,
    sP926: 
      !>[X0: $tType] : ( list(list(X0)) > $o ) ).

tff(pred_def_429,type,
    sP927: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,filter(X1)) ) > $o ) ).

tff(pred_def_430,type,
    sP928: ( fun(real,real) * fun(real,real) * real * real ) > $o ).

tff(pred_def_431,type,
    sP929: ( fun(nat,fun(real,real)) * nat * real ) > $o ).

tff(pred_def_432,type,
    sP930: ( fun(nat,fun(real,real)) * nat * real ) > $o ).

tff(pred_def_433,type,
    sP931: ( fun(nat,fun(real,real)) * nat * real ) > $o ).

tff(pred_def_434,type,
    sP932: ( fun(nat,fun(real,real)) * nat * real * real ) > $o ).

tff(pred_def_435,type,
    sP933: ( fun(nat,fun(real,real)) * nat * real * real ) > $o ).

tff(pred_def_436,type,
    sP934: ( real * nat * real ) > $o ).

tff(pred_def_437,type,
    sP935: 
      !>[X0: $tType] : ( fun(list(X0),fun(list(X0),$o)) > $o ) ).

tff(pred_def_438,type,
    sP936: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) * list(X0) ) > $o ) ).

tff(pred_def_439,type,
    sP937: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) * list(X0) ) > $o ) ).

tff(pred_def_440,type,
    sP938: 
      !>[X0: $tType] : ( ( set(list(X0)) * list(X0) * list(X0) ) > $o ) ).

tff(pred_def_441,type,
    sP939: 
      !>[X0: $tType] : ( ( list(X0) * set(list(X0)) * list(X0) ) > $o ) ).

tff(pred_def_442,type,
    sP940: 
      !>[X0: $tType] : ( ( set(list(X0)) * list(X0) * list(X0) ) > $o ) ).

tff(pred_def_443,type,
    sP941: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) * list(X0) ) > $o ) ).

tff(pred_def_444,type,
    sP942: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * fun(X1,$o) ) > $o ) ).

tff(pred_def_445,type,
    sP943: 
      !>[X0: $tType] : ( set(filter(X0)) > $o ) ).

tff(pred_def_446,type,
    sP944: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * fun(X1,$o) ) > $o ) ).

tff(pred_def_447,type,
    sP945: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,filter(X1)) ) > $o ) ).

tff(pred_def_448,type,
    sP946: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * fun(X1,$o) ) > $o ) ).

tff(pred_def_449,type,
    sP947: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * X0 * X0 ) > $o ) ).

tff(pred_def_450,type,
    sP948: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * X0 * X0 ) > $o ) ).

tff(pred_def_451,type,
    sP949: ( fun(real,real) * real * real ) > $o ).

tff(pred_def_452,type,
    sP950: 
      !>[X0: $tType] : ( ( fun(real,X0) * real * real ) > $o ) ).

tff(pred_def_453,type,
    sP951: 
      !>[X0: $tType] : ( ( fun(real,X0) * real * real ) > $o ) ).

tff(pred_def_454,type,
    sP952: ( fun(real,real) * fun(real,real) * real * real ) > $o ).

tff(pred_def_455,type,
    sP953: 
      !>[X0: $tType] : ( ( fun(real,X0) * real * real ) > $o ) ).

tff(pred_def_456,type,
    sP954: ( fun(real,real) * real * real ) > $o ).

tff(pred_def_457,type,
    sP955: ( fun(real,real) * real * real ) > $o ).

tff(pred_def_458,type,
    sP956: ( fun(real,real) * fun(real,real) * real * real ) > $o ).

tff(pred_def_459,type,
    sP957: ( fun(real,real) * fun(real,real) * real * real ) > $o ).

tff(pred_def_460,type,
    sP958: ( fun(real,real) * fun(real,real) * real * real ) > $o ).

tff(pred_def_461,type,
    sP959: ( fun(real,real) * real * real ) > $o ).

tff(pred_def_462,type,
    sP960: ( fun(real,real) * real * real ) > $o ).

tff(pred_def_463,type,
    sP961: ( fun(real,real) * real * real ) > $o ).

tff(pred_def_464,type,
    sP962: 
      !>[X0: $tType] : ( set(X0) > $o ) ).

tff(pred_def_465,type,
    sP963: 
      !>[X0: $tType] : $o ).

tff(pred_def_466,type,
    sP964: ( real * real * fun(real,real) ) > $o ).

tff(pred_def_467,type,
    sP965: ( fun(real,fun(real,real)) * fun(real,real) * real * real ) > $o ).

tff(pred_def_468,type,
    sP966: ( fun(real,fun(real,real)) * fun(real,real) * real * real ) > $o ).

tff(pred_def_469,type,
    sP967: ( fun(real,real) * real * real ) > $o ).

tff(pred_def_470,type,
    sP968: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) ) > $o ) ).

tff(pred_def_471,type,
    sP969: 
      !>[X0: $tType] : ( set(X0) > $o ) ).

tff(pred_def_472,type,
    sP970: 
      !>[X0: $tType] : $o ).

tff(pred_def_473,type,
    sP971: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) ) > $o ) ).

tff(pred_def_474,type,
    sP972: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) ) > $o ) ).

tff(pred_def_475,type,
    sP973: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * set(X1) ) > $o ) ).

tff(pred_def_476,type,
    sP974: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * set(set(X1)) ) > $o ) ).

tff(pred_def_477,type,
    sP975: 
      !>[X0: $tType,X1: $tType,X2: $tType,X3: $tType] : ( ( set(X0) * fun(X2,set(X1)) * fun(X3,X1) * fun(X0,set(X3)) * set(X2) ) > $o ) ).

tff(pred_def_478,type,
    sP976: 
      !>[X0: $tType] : ( ( list(X0) * X0 * list(X0) * list(X0) ) > $o ) ).

tff(pred_def_479,type,
    sP977: 
      !>[X0: $tType,X1: $tType] : ( ( list(X0) * list(X1) * set(product_prod(X0,X1)) ) > $o ) ).

tff(pred_def_480,type,
    sP978: 
      !>[X0: $tType,X1: $tType] : ( ( list(X0) * list(X1) * fun(X0,fun(X1,$o)) ) > $o ) ).

tff(pred_def_481,type,
    sP979: 
      !>[X0: $tType] : ( ( X0 * list(X0) ) > $o ) ).

tff(pred_def_482,type,
    sP980: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * X0 * list(X0) ) > $o ) ).

tff(pred_def_483,type,
    sP981: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * X0 * list(X0) ) > $o ) ).

tff(pred_def_484,type,
    sP982: 
      !>[X0: $tType] : ( ( list(list(X0)) * list(list(X0)) ) > $o ) ).

tff(pred_def_485,type,
    sP983: 
      !>[X0: $tType] : ( ( list(list(X0)) * list(list(X0)) ) > $o ) ).

tff(pred_def_486,type,
    sP984: 
      !>[X0: $tType] : ( fun(list(list(X0)),$o) > $o ) ).

tff(pred_def_487,type,
    sP985: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,$o)) * $o * list(X0) ) > $o ) ).

tff(pred_def_488,type,
    sP986: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,$o)) * $o * list(X0) ) > $o ) ).

tff(pred_def_489,type,
    sP987: ( nat * list(nat) ) > $o ).

tff(pred_def_490,type,
    sP988: 
      !>[X0: $tType,X1: $tType] : ( ( list(X0) * list(X1) * fun(X1,fun(X0,$o)) ) > $o ) ).

tff(pred_def_491,type,
    sP989: 
      !>[X0: $tType] : ( ( X0 * fun(X0,X0) * fun(X0,$o) ) > $o ) ).

tff(pred_def_492,type,
    sP990: 
      !>[X0: $tType] : $o ).

tff(pred_def_493,type,
    sP991: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) * fun(list(X0),fun(list(X0),$o)) ) > $o ) ).

tff(pred_def_494,type,
    sP992: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) * fun(list(X0),fun(list(X0),$o)) ) > $o ) ).

tff(pred_def_495,type,
    sP993: 
      !>[X0: $tType] : $o ).

tff(pred_def_496,type,
    sP994: 
      !>[X0: $tType] : ( ( X0 * X0 * fun(X0,fun(X0,$o)) * fun(X0,fun(X0,$o)) ) > $o ) ).

tff(pred_def_497,type,
    sP995: 
      !>[X0: $tType] : ( ( X0 * X0 * fun(X0,fun(X0,$o)) * fun(X0,fun(X0,$o)) ) > $o ) ).

tff(pred_def_498,type,
    sP996: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) * fun(X0,fun(X0,$o)) * fun(list(X0),fun(list(X0),$o)) ) > $o ) ).

tff(pred_def_499,type,
    sP997: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) * fun(X0,fun(X0,$o)) * fun(list(X0),fun(list(X0),$o)) ) > $o ) ).

tff(f1,axiom,
    ! [X7: vEBT_VEBT,X8: nat] :
      ( aa(nat,$o,vEBT_V8194947554948674370ptions(X7),X8)
    <=> ( vEBT_V5719532721284313246member(X7,X8)
        | vEBT_VEBT_membermima(X7,X8) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_0_both__member__options__def) ).

tff(f8,axiom,
    ( vEBT_V5719532721284313246member(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,treeList),vEBT_VEBT_high(x,divide_divide(nat,deg,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))))),vEBT_VEBT_low(x,divide_divide(nat,deg,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))))
   => vEBT_V5719532721284313246member(vEBT_Node(info,deg,treeList,summary),x) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_7__092_060open_062naive__member_A_ItreeList_A_B_Ahigh_Ax_A_Ideg_Adiv_A2_J_J_A_Ilow_Ax_A_Ideg_Adiv_A2_J_J_A_092_060Longrightarrow_062_Anaive__member_A_INode_Ainfo_Adeg_AtreeList_Asummary_J_Ax_092_060close_062) ).

tff(f9,axiom,
    ( vEBT_VEBT_membermima(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,treeList),vEBT_VEBT_high(x,divide_divide(nat,deg,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))))),vEBT_VEBT_low(x,divide_divide(nat,deg,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))))
   => vEBT_VEBT_membermima(vEBT_Node(info,deg,treeList,summary),x) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_8__092_060open_062membermima_A_ItreeList_A_B_Ahigh_Ax_A_Ideg_Adiv_A2_J_J_A_Ilow_Ax_A_Ideg_Adiv_A2_J_J_A_092_060Longrightarrow_062_Amembermima_A_INode_Ainfo_Adeg_AtreeList_Asummary_J_Ax_092_060close_062) ).

tff(f11,axiom,
    ( vEBT_VEBT_membermima(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,treeList),vEBT_VEBT_high(x,divide_divide(nat,deg,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))))),vEBT_VEBT_low(x,divide_divide(nat,deg,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))))
    | vEBT_V5719532721284313246member(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,treeList),vEBT_VEBT_high(x,divide_divide(nat,deg,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))))),vEBT_VEBT_low(x,divide_divide(nat,deg,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))))) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_10__092_060open_062membermima_A_ItreeList_A_B_Ahigh_Ax_A_Ideg_Adiv_A2_J_J_A_Ilow_Ax_A_Ideg_Adiv_A2_J_J_A_092_060or_062_Anaive__member_A_ItreeList_A_B_Ahigh_Ax_A_Ideg_Adiv_A2_J_J_A_Ilow_Ax_A_Ideg_Adiv_A2_J_J_092_060close_062) ).

tff(f18,axiom,
    ! [X0: nat,X1: nat] : ( vEBT_VEBT_high(X0,X1) = divide_divide(nat,X0,aa(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_17_high__def) ).

tff(f56,axiom,
    aa(nat,nat,suc,one_one(nat)) = aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_55_Suc__1) ).

tff(f83,axiom,
    aa(num,nat,numeral_numeral(nat),one2) = one_one(nat),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_82_numerals_I1_J) ).

tff(f280,axiom,
    ! [X0: nat,X1: nat] : ( vEBT_VEBT_low(X0,X1) = modulo_modulo(nat,X0,aa(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_279_low__def) ).

tff(f656,axiom,
    aa(num,nat,numeral_numeral(nat),one2) = aa(nat,nat,suc,zero_zero(nat)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_655_numeral__1__eq__Suc__0) ).

tff(f2037,axiom,
    ! [X0: nat,X1: nat] : ( aa(nat,nat,bit_se2584673776208193580ke_bit(nat,X0),X1) = modulo_modulo(nat,X1,aa(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_2036_take__bit__nat__def) ).

tff(f2173,axiom,
    ! [X0: num] : ( pred_numeral(aa(num,num,bit1,X0)) = aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,X0)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_2172_pred__numeral__simps_I3_J) ).

tff(f3618,axiom,
    ! [X0: nat] : ( aa(nat,nat,bit_se4730199178511100633sh_bit(nat,X0),aa(nat,nat,suc,zero_zero(nat))) = aa(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_3617_push__bit__of__Suc__0) ).

tff(f9780,conjecture,
    aa(nat,$o,vEBT_V8194947554948674370ptions(vEBT_Node(info,deg,treeList,summary)),x),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0) ).

tff(f9781,negated_conjecture,
    ~ aa(nat,$o,vEBT_V8194947554948674370ptions(vEBT_Node(info,deg,treeList,summary)),x),
    inference(negated_conjecture,[status(cth)],[f9780]) ).

tff(f9782,plain,
    ! [X0: vEBT_VEBT,X1: nat] :
      ( aa(nat,$o,vEBT_V8194947554948674370ptions(X0),X1)
    <=> ( vEBT_V5719532721284313246member(X0,X1)
        | vEBT_VEBT_membermima(X0,X1) ) ),
    inference(rectify,[],[f1]) ).

tff(f9783,plain,
    ! [X0: vEBT_VEBT,X1: nat] :
      ( ( aa(nat,$o,vEBT_V8194947554948674370ptions(X0),X1) = $true )
    <=> ( vEBT_V5719532721284313246member(X0,X1)
        | vEBT_VEBT_membermima(X0,X1) ) ),
    inference(fool_elimination,[],[f9782]) ).

tff(f14982,definition,
    ! [X3: num] : ( pred_numeral(X3) = lG436(X3) ),
    introduced(definition,[new_symbols(definition,[lG436])],[fool_let_definition]) ).

tff(f14991,definition,
    ! [X3: num] : ( pred_numeral(X3) = lG438(X3) ),
    introduced(definition,[new_symbols(definition,[lG438])],[fool_let_definition]) ).

tff(f19928,plain,
    ~ aa(nat,$o,vEBT_V8194947554948674370ptions(vEBT_Node(info,deg,treeList,summary)),x),
    inference(rectify,[],[f9781]) ).

tff(f19929,plain,
    aa(nat,$o,vEBT_V8194947554948674370ptions(vEBT_Node(info,deg,treeList,summary)),x) != $true,
    inference(fool_elimination,[],[f19928]) ).

tff(f20453,plain,
    ! [X0: num] : ( pred_numeral(X0) = lG438(X0) ),
    inference(rectify,[],[f14991]) ).

tff(f20454,plain,
    ! [X0: num] : ( pred_numeral(X0) = lG436(X0) ),
    inference(rectify,[],[f14982]) ).

tff(f21381,plain,
    aa(nat,$o,vEBT_V8194947554948674370ptions(vEBT_Node(info,deg,treeList,summary)),x) != $true,
    inference(flattening,[],[f19929]) ).

tff(f21870,plain,
    ( vEBT_V5719532721284313246member(vEBT_Node(info,deg,treeList,summary),x)
    | ~ vEBT_V5719532721284313246member(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,treeList),vEBT_VEBT_high(x,divide_divide(nat,deg,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))))),vEBT_VEBT_low(x,divide_divide(nat,deg,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))))) ),
    inference(ennf_transformation,[],[f8]) ).

tff(f21871,plain,
    ( vEBT_VEBT_membermima(vEBT_Node(info,deg,treeList,summary),x)
    | ~ vEBT_VEBT_membermima(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,treeList),vEBT_VEBT_high(x,divide_divide(nat,deg,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))))),vEBT_VEBT_low(x,divide_divide(nat,deg,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))))) ),
    inference(ennf_transformation,[],[f9]) ).

tff(f31111,plain,
    ! [X0: vEBT_VEBT,X1: nat] :
      ( ( ( aa(nat,$o,vEBT_V8194947554948674370ptions(X0),X1) = $true )
        | ( ~ vEBT_V5719532721284313246member(X0,X1)
          & ~ vEBT_VEBT_membermima(X0,X1) ) )
      & ( vEBT_V5719532721284313246member(X0,X1)
        | vEBT_VEBT_membermima(X0,X1)
        | ( aa(nat,$o,vEBT_V8194947554948674370ptions(X0),X1) != $true ) ) ),
    inference(nnf_transformation,[],[f9783]) ).

tff(f31112,plain,
    ! [X0: vEBT_VEBT,X1: nat] :
      ( ( ( aa(nat,$o,vEBT_V8194947554948674370ptions(X0),X1) = $true )
        | ( ~ vEBT_V5719532721284313246member(X0,X1)
          & ~ vEBT_VEBT_membermima(X0,X1) ) )
      & ( vEBT_V5719532721284313246member(X0,X1)
        | vEBT_VEBT_membermima(X0,X1)
        | ( aa(nat,$o,vEBT_V8194947554948674370ptions(X0),X1) != $true ) ) ),
    inference(flattening,[],[f31111]) ).

tff(f36228,plain,
    ! [X0: num] : ( pred_numeral(X0) = lG438(X0) ),
    inference(cnf_transformation,[],[f20453]) ).

tff(f36232,plain,
    ! [X0: num] : ( pred_numeral(X0) = lG436(X0) ),
    inference(cnf_transformation,[],[f20454]) ).

tff(f37031,plain,
    ! [X0: vEBT_VEBT,X1: nat] :
      ( ~ vEBT_VEBT_membermima(X0,X1)
      | ( aa(nat,$o,vEBT_V8194947554948674370ptions(X0),X1) = $true ) ),
    inference(cnf_transformation,[],[f31112]) ).

tff(f37032,plain,
    ! [X0: vEBT_VEBT,X1: nat] :
      ( ~ vEBT_V5719532721284313246member(X0,X1)
      | ( aa(nat,$o,vEBT_V8194947554948674370ptions(X0),X1) = $true ) ),
    inference(cnf_transformation,[],[f31112]) ).

tff(f37043,plain,
    ( vEBT_V5719532721284313246member(vEBT_Node(info,deg,treeList,summary),x)
    | ~ vEBT_V5719532721284313246member(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,treeList),vEBT_VEBT_high(x,divide_divide(nat,deg,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))))),vEBT_VEBT_low(x,divide_divide(nat,deg,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))))) ),
    inference(cnf_transformation,[],[f21870]) ).

tff(f37044,plain,
    ( vEBT_VEBT_membermima(vEBT_Node(info,deg,treeList,summary),x)
    | ~ vEBT_VEBT_membermima(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,treeList),vEBT_VEBT_high(x,divide_divide(nat,deg,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))))),vEBT_VEBT_low(x,divide_divide(nat,deg,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))))) ),
    inference(cnf_transformation,[],[f21871]) ).

tff(f37046,plain,
    ( vEBT_VEBT_membermima(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,treeList),vEBT_VEBT_high(x,divide_divide(nat,deg,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))))),vEBT_VEBT_low(x,divide_divide(nat,deg,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))))
    | vEBT_V5719532721284313246member(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,treeList),vEBT_VEBT_high(x,divide_divide(nat,deg,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))))),vEBT_VEBT_low(x,divide_divide(nat,deg,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))))) ),
    inference(cnf_transformation,[],[f11]) ).

tff(f37055,plain,
    ! [X0: nat,X1: nat] : ( vEBT_VEBT_high(X0,X1) = divide_divide(nat,X0,aa(nat,nat,power_power(nat,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),X1)) ),
    inference(cnf_transformation,[],[f18]) ).

tff(f37103,plain,
    aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)) = aa(nat,nat,suc,one_one(nat)),
    inference(cnf_transformation,[],[f56]) ).

tff(f37132,plain,
    one_one(nat) = aa(num,nat,numeral_numeral(nat),one2),
    inference(cnf_transformation,[],[f83]) ).

tff(f37428,plain,
    ! [X0: nat,X1: nat] : ( vEBT_VEBT_low(X0,X1) = modulo_modulo(nat,X0,aa(nat,nat,power_power(nat,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),X1)) ),
    inference(cnf_transformation,[],[f280]) ).

tff(f38055,plain,
    aa(num,nat,numeral_numeral(nat),one2) = aa(nat,nat,suc,zero_zero(nat)),
    inference(cnf_transformation,[],[f656]) ).

tff(f40301,plain,
    ! [X0: nat,X1: nat] : ( aa(nat,nat,bit_se2584673776208193580ke_bit(nat,X0),X1) = modulo_modulo(nat,X1,aa(nat,nat,power_power(nat,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),X0)) ),
    inference(cnf_transformation,[],[f2037]) ).

tff(f40484,plain,
    ! [X0: num] : ( aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,X0)) = pred_numeral(aa(num,num,bit1,X0)) ),
    inference(cnf_transformation,[],[f2173]) ).

tff(f42290,plain,
    ! [X0: nat] : ( aa(nat,nat,power_power(nat,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),X0) = aa(nat,nat,bit_se4730199178511100633sh_bit(nat,X0),aa(nat,nat,suc,zero_zero(nat))) ),
    inference(cnf_transformation,[],[f3618]) ).

tff(f52062,plain,
    aa(nat,$o,vEBT_V8194947554948674370ptions(vEBT_Node(info,deg,treeList,summary)),x) != $true,
    inference(cnf_transformation,[],[f21381]) ).

tff(f52345,plain,
    ! [X0: num] : ( lG438(X0) = lG436(X0) ),
    inference(definition_unfolding,[],[f36232,f36228]) ).

tff(f52501,plain,
    ( vEBT_V5719532721284313246member(vEBT_Node(info,deg,treeList,summary),x)
    | ~ vEBT_V5719532721284313246member(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,treeList),divide_divide(nat,x,aa(nat,nat,power_power(nat,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),divide_divide(nat,deg,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))))),modulo_modulo(nat,x,aa(nat,nat,power_power(nat,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),divide_divide(nat,deg,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))))) ),
    inference(definition_unfolding,[],[f37043,f37055,f37428]) ).

tff(f52502,plain,
    ( vEBT_VEBT_membermima(vEBT_Node(info,deg,treeList,summary),x)
    | ~ vEBT_VEBT_membermima(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,treeList),divide_divide(nat,x,aa(nat,nat,power_power(nat,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),divide_divide(nat,deg,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))))),modulo_modulo(nat,x,aa(nat,nat,power_power(nat,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),divide_divide(nat,deg,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))))) ),
    inference(definition_unfolding,[],[f37044,f37055,f37428]) ).

tff(f52504,plain,
    ( vEBT_VEBT_membermima(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,treeList),divide_divide(nat,x,aa(nat,nat,power_power(nat,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),divide_divide(nat,deg,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))))),modulo_modulo(nat,x,aa(nat,nat,power_power(nat,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),divide_divide(nat,deg,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))))))
    | vEBT_V5719532721284313246member(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,treeList),divide_divide(nat,x,aa(nat,nat,power_power(nat,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),divide_divide(nat,deg,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))))),modulo_modulo(nat,x,aa(nat,nat,power_power(nat,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),divide_divide(nat,deg,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))))) ),
    inference(definition_unfolding,[],[f37046,f37055,f37428,f37055,f37428]) ).

tff(f52570,plain,
    ! [X0: num] : ( aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,X0)) = lG438(aa(num,num,bit1,X0)) ),
    inference(definition_unfolding,[],[f40484,f36228]) ).

tff(f58617,plain,
    ! [X0: nat,X1: nat] : ( aa(nat,nat,bit_se2584673776208193580ke_bit(nat,X0),X1) = modulo_modulo(nat,X1,aa(nat,nat,bit_se4730199178511100633sh_bit(nat,X0),aa(nat,nat,suc,zero_zero(nat)))) ),
    inference(forward_demodulation,[],[f40301,f42290]) ).

tff(f59311,plain,
    aa(nat,nat,suc,one_one(nat)) = lG438(aa(num,num,bit1,one2)),
    inference(forward_demodulation,[],[f37103,f52570]) ).

tff(f59342,plain,
    ( vEBT_VEBT_membermima(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,treeList),divide_divide(nat,x,aa(nat,nat,bit_se4730199178511100633sh_bit(nat,divide_divide(nat,deg,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))),aa(nat,nat,suc,zero_zero(nat))))),modulo_modulo(nat,x,aa(nat,nat,bit_se4730199178511100633sh_bit(nat,divide_divide(nat,deg,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))),aa(nat,nat,suc,zero_zero(nat)))))
    | vEBT_V5719532721284313246member(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,treeList),divide_divide(nat,x,aa(nat,nat,power_power(nat,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),divide_divide(nat,deg,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))))),modulo_modulo(nat,x,aa(nat,nat,power_power(nat,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),divide_divide(nat,deg,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))))) ),
    inference(forward_demodulation,[],[f52504,f42290]) ).

tff(f59344,plain,
    ( ~ vEBT_VEBT_membermima(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,treeList),divide_divide(nat,x,aa(nat,nat,bit_se4730199178511100633sh_bit(nat,divide_divide(nat,deg,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))),aa(nat,nat,suc,zero_zero(nat))))),modulo_modulo(nat,x,aa(nat,nat,bit_se4730199178511100633sh_bit(nat,divide_divide(nat,deg,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))),aa(nat,nat,suc,zero_zero(nat)))))
    | vEBT_VEBT_membermima(vEBT_Node(info,deg,treeList,summary),x) ),
    inference(forward_demodulation,[],[f52502,f42290]) ).

tff(f59345,plain,
    ( ~ vEBT_V5719532721284313246member(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,treeList),divide_divide(nat,x,aa(nat,nat,bit_se4730199178511100633sh_bit(nat,divide_divide(nat,deg,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))),aa(nat,nat,suc,zero_zero(nat))))),modulo_modulo(nat,x,aa(nat,nat,bit_se4730199178511100633sh_bit(nat,divide_divide(nat,deg,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))),aa(nat,nat,suc,zero_zero(nat)))))
    | vEBT_V5719532721284313246member(vEBT_Node(info,deg,treeList,summary),x) ),
    inference(forward_demodulation,[],[f52501,f42290]) ).

tff(f60901,plain,
    ! [X0: nat,X1: nat] : ( aa(nat,nat,bit_se2584673776208193580ke_bit(nat,X0),X1) = modulo_modulo(nat,X1,aa(nat,nat,bit_se4730199178511100633sh_bit(nat,X0),aa(num,nat,numeral_numeral(nat),one2))) ),
    inference(forward_demodulation,[],[f58617,f38055]) ).

tff(f61324,plain,
    aa(nat,nat,suc,one_one(nat)) = lG436(aa(num,num,bit1,one2)),
    inference(forward_demodulation,[],[f59311,f52345]) ).

tff(f61342,plain,
    ( vEBT_VEBT_membermima(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,treeList),divide_divide(nat,x,aa(nat,nat,bit_se4730199178511100633sh_bit(nat,divide_divide(nat,deg,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))),aa(num,nat,numeral_numeral(nat),one2)))),modulo_modulo(nat,x,aa(nat,nat,bit_se4730199178511100633sh_bit(nat,divide_divide(nat,deg,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))),aa(num,nat,numeral_numeral(nat),one2))))
    | vEBT_V5719532721284313246member(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,treeList),divide_divide(nat,x,aa(nat,nat,power_power(nat,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),divide_divide(nat,deg,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))))),modulo_modulo(nat,x,aa(nat,nat,power_power(nat,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),divide_divide(nat,deg,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))))) ),
    inference(forward_demodulation,[],[f59342,f38055]) ).

tff(f61344,plain,
    ( ~ vEBT_VEBT_membermima(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,treeList),divide_divide(nat,x,aa(nat,nat,bit_se4730199178511100633sh_bit(nat,divide_divide(nat,deg,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))),aa(num,nat,numeral_numeral(nat),one2)))),modulo_modulo(nat,x,aa(nat,nat,bit_se4730199178511100633sh_bit(nat,divide_divide(nat,deg,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))),aa(num,nat,numeral_numeral(nat),one2))))
    | vEBT_VEBT_membermima(vEBT_Node(info,deg,treeList,summary),x) ),
    inference(forward_demodulation,[],[f59344,f38055]) ).

tff(f61345,plain,
    ( ~ vEBT_V5719532721284313246member(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,treeList),divide_divide(nat,x,aa(nat,nat,bit_se4730199178511100633sh_bit(nat,divide_divide(nat,deg,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))),aa(num,nat,numeral_numeral(nat),one2)))),modulo_modulo(nat,x,aa(nat,nat,bit_se4730199178511100633sh_bit(nat,divide_divide(nat,deg,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))),aa(num,nat,numeral_numeral(nat),one2))))
    | vEBT_V5719532721284313246member(vEBT_Node(info,deg,treeList,summary),x) ),
    inference(forward_demodulation,[],[f59345,f38055]) ).

tff(f62217,plain,
    ! [X0: nat,X1: nat] : ( aa(nat,nat,bit_se2584673776208193580ke_bit(nat,X0),X1) = modulo_modulo(nat,X1,aa(nat,nat,bit_se4730199178511100633sh_bit(nat,X0),one_one(nat))) ),
    inference(forward_demodulation,[],[f60901,f37132]) ).

tff(f62461,plain,
    ( vEBT_VEBT_membermima(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,treeList),divide_divide(nat,x,aa(nat,nat,bit_se4730199178511100633sh_bit(nat,divide_divide(nat,deg,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))),one_one(nat)))),modulo_modulo(nat,x,aa(nat,nat,bit_se4730199178511100633sh_bit(nat,divide_divide(nat,deg,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))),one_one(nat))))
    | vEBT_V5719532721284313246member(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,treeList),divide_divide(nat,x,aa(nat,nat,power_power(nat,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),divide_divide(nat,deg,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))))),modulo_modulo(nat,x,aa(nat,nat,power_power(nat,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),divide_divide(nat,deg,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))))) ),
    inference(forward_demodulation,[],[f61342,f37132]) ).

tff(f62463,plain,
    ( ~ vEBT_VEBT_membermima(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,treeList),divide_divide(nat,x,aa(nat,nat,bit_se4730199178511100633sh_bit(nat,divide_divide(nat,deg,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))),one_one(nat)))),modulo_modulo(nat,x,aa(nat,nat,bit_se4730199178511100633sh_bit(nat,divide_divide(nat,deg,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))),one_one(nat))))
    | vEBT_VEBT_membermima(vEBT_Node(info,deg,treeList,summary),x) ),
    inference(forward_demodulation,[],[f61344,f37132]) ).

tff(f62464,plain,
    ( ~ vEBT_V5719532721284313246member(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,treeList),divide_divide(nat,x,aa(nat,nat,bit_se4730199178511100633sh_bit(nat,divide_divide(nat,deg,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))),one_one(nat)))),modulo_modulo(nat,x,aa(nat,nat,bit_se4730199178511100633sh_bit(nat,divide_divide(nat,deg,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))),one_one(nat))))
    | vEBT_V5719532721284313246member(vEBT_Node(info,deg,treeList,summary),x) ),
    inference(forward_demodulation,[],[f61345,f37132]) ).

tff(f63238,plain,
    ( vEBT_VEBT_membermima(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,treeList),divide_divide(nat,x,aa(nat,nat,bit_se4730199178511100633sh_bit(nat,divide_divide(nat,deg,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))),one_one(nat)))),aa(nat,nat,bit_se2584673776208193580ke_bit(nat,divide_divide(nat,deg,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))),x))
    | vEBT_V5719532721284313246member(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,treeList),divide_divide(nat,x,aa(nat,nat,power_power(nat,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),divide_divide(nat,deg,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))))),modulo_modulo(nat,x,aa(nat,nat,power_power(nat,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),divide_divide(nat,deg,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))))) ),
    inference(forward_demodulation,[],[f62461,f62217]) ).

tff(f63240,plain,
    ( ~ vEBT_VEBT_membermima(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,treeList),divide_divide(nat,x,aa(nat,nat,bit_se4730199178511100633sh_bit(nat,divide_divide(nat,deg,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))),one_one(nat)))),aa(nat,nat,bit_se2584673776208193580ke_bit(nat,divide_divide(nat,deg,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))),x))
    | vEBT_VEBT_membermima(vEBT_Node(info,deg,treeList,summary),x) ),
    inference(forward_demodulation,[],[f62463,f62217]) ).

tff(f63241,plain,
    ( ~ vEBT_V5719532721284313246member(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,treeList),divide_divide(nat,x,aa(nat,nat,bit_se4730199178511100633sh_bit(nat,divide_divide(nat,deg,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))),one_one(nat)))),aa(nat,nat,bit_se2584673776208193580ke_bit(nat,divide_divide(nat,deg,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))),x))
    | vEBT_V5719532721284313246member(vEBT_Node(info,deg,treeList,summary),x) ),
    inference(forward_demodulation,[],[f62464,f62217]) ).

tff(f63688,plain,
    ( vEBT_VEBT_membermima(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,treeList),divide_divide(nat,x,aa(nat,nat,bit_se4730199178511100633sh_bit(nat,divide_divide(nat,deg,lG438(aa(num,num,bit1,one2)))),one_one(nat)))),aa(nat,nat,bit_se2584673776208193580ke_bit(nat,divide_divide(nat,deg,lG438(aa(num,num,bit1,one2)))),x))
    | vEBT_V5719532721284313246member(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,treeList),divide_divide(nat,x,aa(nat,nat,power_power(nat,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),divide_divide(nat,deg,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))))),modulo_modulo(nat,x,aa(nat,nat,power_power(nat,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),divide_divide(nat,deg,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))))) ),
    inference(forward_demodulation,[],[f63238,f52570]) ).

tff(f63690,plain,
    ( ~ vEBT_VEBT_membermima(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,treeList),divide_divide(nat,x,aa(nat,nat,bit_se4730199178511100633sh_bit(nat,divide_divide(nat,deg,lG438(aa(num,num,bit1,one2)))),one_one(nat)))),aa(nat,nat,bit_se2584673776208193580ke_bit(nat,divide_divide(nat,deg,lG438(aa(num,num,bit1,one2)))),x))
    | vEBT_VEBT_membermima(vEBT_Node(info,deg,treeList,summary),x) ),
    inference(forward_demodulation,[],[f63240,f52570]) ).

tff(f63691,plain,
    ( ~ vEBT_V5719532721284313246member(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,treeList),divide_divide(nat,x,aa(nat,nat,bit_se4730199178511100633sh_bit(nat,divide_divide(nat,deg,lG438(aa(num,num,bit1,one2)))),one_one(nat)))),aa(nat,nat,bit_se2584673776208193580ke_bit(nat,divide_divide(nat,deg,lG438(aa(num,num,bit1,one2)))),x))
    | vEBT_V5719532721284313246member(vEBT_Node(info,deg,treeList,summary),x) ),
    inference(forward_demodulation,[],[f63241,f52570]) ).

tff(f64007,plain,
    ( vEBT_VEBT_membermima(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,treeList),divide_divide(nat,x,aa(nat,nat,bit_se4730199178511100633sh_bit(nat,divide_divide(nat,deg,lG436(aa(num,num,bit1,one2)))),one_one(nat)))),aa(nat,nat,bit_se2584673776208193580ke_bit(nat,divide_divide(nat,deg,lG436(aa(num,num,bit1,one2)))),x))
    | vEBT_V5719532721284313246member(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,treeList),divide_divide(nat,x,aa(nat,nat,power_power(nat,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),divide_divide(nat,deg,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))))),modulo_modulo(nat,x,aa(nat,nat,power_power(nat,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),divide_divide(nat,deg,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))))) ),
    inference(forward_demodulation,[],[f63688,f52345]) ).

tff(f64009,plain,
    ( ~ vEBT_VEBT_membermima(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,treeList),divide_divide(nat,x,aa(nat,nat,bit_se4730199178511100633sh_bit(nat,divide_divide(nat,deg,lG436(aa(num,num,bit1,one2)))),one_one(nat)))),aa(nat,nat,bit_se2584673776208193580ke_bit(nat,divide_divide(nat,deg,lG436(aa(num,num,bit1,one2)))),x))
    | vEBT_VEBT_membermima(vEBT_Node(info,deg,treeList,summary),x) ),
    inference(forward_demodulation,[],[f63690,f52345]) ).

tff(f64010,plain,
    ( ~ vEBT_V5719532721284313246member(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,treeList),divide_divide(nat,x,aa(nat,nat,bit_se4730199178511100633sh_bit(nat,divide_divide(nat,deg,lG436(aa(num,num,bit1,one2)))),one_one(nat)))),aa(nat,nat,bit_se2584673776208193580ke_bit(nat,divide_divide(nat,deg,lG436(aa(num,num,bit1,one2)))),x))
    | vEBT_V5719532721284313246member(vEBT_Node(info,deg,treeList,summary),x) ),
    inference(forward_demodulation,[],[f63691,f52345]) ).

tff(f64216,plain,
    ( vEBT_VEBT_membermima(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,treeList),divide_divide(nat,x,aa(nat,nat,bit_se4730199178511100633sh_bit(nat,divide_divide(nat,deg,aa(nat,nat,suc,one_one(nat)))),one_one(nat)))),aa(nat,nat,bit_se2584673776208193580ke_bit(nat,divide_divide(nat,deg,aa(nat,nat,suc,one_one(nat)))),x))
    | vEBT_V5719532721284313246member(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,treeList),divide_divide(nat,x,aa(nat,nat,power_power(nat,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),divide_divide(nat,deg,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))))),modulo_modulo(nat,x,aa(nat,nat,power_power(nat,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),divide_divide(nat,deg,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))))) ),
    inference(forward_demodulation,[],[f64007,f61324]) ).

tff(f64218,plain,
    ( ~ vEBT_VEBT_membermima(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,treeList),divide_divide(nat,x,aa(nat,nat,bit_se4730199178511100633sh_bit(nat,divide_divide(nat,deg,aa(nat,nat,suc,one_one(nat)))),one_one(nat)))),aa(nat,nat,bit_se2584673776208193580ke_bit(nat,divide_divide(nat,deg,aa(nat,nat,suc,one_one(nat)))),x))
    | vEBT_VEBT_membermima(vEBT_Node(info,deg,treeList,summary),x) ),
    inference(forward_demodulation,[],[f64009,f61324]) ).

tff(f64219,plain,
    ( ~ vEBT_V5719532721284313246member(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,treeList),divide_divide(nat,x,aa(nat,nat,bit_se4730199178511100633sh_bit(nat,divide_divide(nat,deg,aa(nat,nat,suc,one_one(nat)))),one_one(nat)))),aa(nat,nat,bit_se2584673776208193580ke_bit(nat,divide_divide(nat,deg,aa(nat,nat,suc,one_one(nat)))),x))
    | vEBT_V5719532721284313246member(vEBT_Node(info,deg,treeList,summary),x) ),
    inference(forward_demodulation,[],[f64010,f61324]) ).

tff(f64363,plain,
    ( vEBT_V5719532721284313246member(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,treeList),divide_divide(nat,x,aa(nat,nat,bit_se4730199178511100633sh_bit(nat,divide_divide(nat,deg,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))),aa(nat,nat,suc,zero_zero(nat))))),modulo_modulo(nat,x,aa(nat,nat,bit_se4730199178511100633sh_bit(nat,divide_divide(nat,deg,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))),aa(nat,nat,suc,zero_zero(nat)))))
    | vEBT_VEBT_membermima(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,treeList),divide_divide(nat,x,aa(nat,nat,bit_se4730199178511100633sh_bit(nat,divide_divide(nat,deg,aa(nat,nat,suc,one_one(nat)))),one_one(nat)))),aa(nat,nat,bit_se2584673776208193580ke_bit(nat,divide_divide(nat,deg,aa(nat,nat,suc,one_one(nat)))),x)) ),
    inference(forward_demodulation,[],[f64216,f42290]) ).

tff(f64365,definition,
    ( spl3637_23
  <=> vEBT_VEBT_membermima(vEBT_Node(info,deg,treeList,summary),x) ),
    introduced(definition,[new_symbols(definition,[spl3637_23])],[avatar_definition]) ).

tff(f64367,plain,
    ( vEBT_VEBT_membermima(vEBT_Node(info,deg,treeList,summary),x)
    | ~ spl3637_23 ),
    inference(avatar_component_clause,[],[f64365]) ).

tff(f64369,definition,
    ( spl3637_24
  <=> vEBT_VEBT_membermima(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,treeList),divide_divide(nat,x,aa(nat,nat,bit_se4730199178511100633sh_bit(nat,divide_divide(nat,deg,aa(nat,nat,suc,one_one(nat)))),one_one(nat)))),aa(nat,nat,bit_se2584673776208193580ke_bit(nat,divide_divide(nat,deg,aa(nat,nat,suc,one_one(nat)))),x)) ),
    introduced(definition,[new_symbols(definition,[spl3637_24])],[avatar_definition]) ).

tff(f64372,plain,
    ( spl3637_23
    | ~ spl3637_24 ),
    inference(avatar_split_clause,[],[f64218,f64369,f64365]) ).

tff(f64374,definition,
    ( spl3637_25
  <=> vEBT_V5719532721284313246member(vEBT_Node(info,deg,treeList,summary),x) ),
    introduced(definition,[new_symbols(definition,[spl3637_25])],[avatar_definition]) ).

tff(f64376,plain,
    ( vEBT_V5719532721284313246member(vEBT_Node(info,deg,treeList,summary),x)
    | ~ spl3637_25 ),
    inference(avatar_component_clause,[],[f64374]) ).

tff(f64378,definition,
    ( spl3637_26
  <=> vEBT_V5719532721284313246member(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,treeList),divide_divide(nat,x,aa(nat,nat,bit_se4730199178511100633sh_bit(nat,divide_divide(nat,deg,aa(nat,nat,suc,one_one(nat)))),one_one(nat)))),aa(nat,nat,bit_se2584673776208193580ke_bit(nat,divide_divide(nat,deg,aa(nat,nat,suc,one_one(nat)))),x)) ),
    introduced(definition,[new_symbols(definition,[spl3637_26])],[avatar_definition]) ).

tff(f64381,plain,
    ( spl3637_25
    | ~ spl3637_26 ),
    inference(avatar_split_clause,[],[f64219,f64378,f64374]) ).

tff(f64493,plain,
    ( vEBT_V5719532721284313246member(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,treeList),divide_divide(nat,x,aa(nat,nat,bit_se4730199178511100633sh_bit(nat,divide_divide(nat,deg,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))),aa(num,nat,numeral_numeral(nat),one2)))),modulo_modulo(nat,x,aa(nat,nat,bit_se4730199178511100633sh_bit(nat,divide_divide(nat,deg,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))),aa(num,nat,numeral_numeral(nat),one2))))
    | vEBT_VEBT_membermima(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,treeList),divide_divide(nat,x,aa(nat,nat,bit_se4730199178511100633sh_bit(nat,divide_divide(nat,deg,aa(nat,nat,suc,one_one(nat)))),one_one(nat)))),aa(nat,nat,bit_se2584673776208193580ke_bit(nat,divide_divide(nat,deg,aa(nat,nat,suc,one_one(nat)))),x)) ),
    inference(forward_demodulation,[],[f64363,f38055]) ).

tff(f64565,plain,
    ( vEBT_V5719532721284313246member(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,treeList),divide_divide(nat,x,aa(nat,nat,bit_se4730199178511100633sh_bit(nat,divide_divide(nat,deg,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))),one_one(nat)))),modulo_modulo(nat,x,aa(nat,nat,bit_se4730199178511100633sh_bit(nat,divide_divide(nat,deg,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))),one_one(nat))))
    | vEBT_VEBT_membermima(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,treeList),divide_divide(nat,x,aa(nat,nat,bit_se4730199178511100633sh_bit(nat,divide_divide(nat,deg,aa(nat,nat,suc,one_one(nat)))),one_one(nat)))),aa(nat,nat,bit_se2584673776208193580ke_bit(nat,divide_divide(nat,deg,aa(nat,nat,suc,one_one(nat)))),x)) ),
    inference(forward_demodulation,[],[f64493,f37132]) ).

tff(f64629,plain,
    ( vEBT_V5719532721284313246member(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,treeList),divide_divide(nat,x,aa(nat,nat,bit_se4730199178511100633sh_bit(nat,divide_divide(nat,deg,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))),one_one(nat)))),aa(nat,nat,bit_se2584673776208193580ke_bit(nat,divide_divide(nat,deg,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))),x))
    | vEBT_VEBT_membermima(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,treeList),divide_divide(nat,x,aa(nat,nat,bit_se4730199178511100633sh_bit(nat,divide_divide(nat,deg,aa(nat,nat,suc,one_one(nat)))),one_one(nat)))),aa(nat,nat,bit_se2584673776208193580ke_bit(nat,divide_divide(nat,deg,aa(nat,nat,suc,one_one(nat)))),x)) ),
    inference(forward_demodulation,[],[f64565,f62217]) ).

tff(f64687,plain,
    ( vEBT_V5719532721284313246member(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,treeList),divide_divide(nat,x,aa(nat,nat,bit_se4730199178511100633sh_bit(nat,divide_divide(nat,deg,lG438(aa(num,num,bit1,one2)))),one_one(nat)))),aa(nat,nat,bit_se2584673776208193580ke_bit(nat,divide_divide(nat,deg,lG438(aa(num,num,bit1,one2)))),x))
    | vEBT_VEBT_membermima(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,treeList),divide_divide(nat,x,aa(nat,nat,bit_se4730199178511100633sh_bit(nat,divide_divide(nat,deg,aa(nat,nat,suc,one_one(nat)))),one_one(nat)))),aa(nat,nat,bit_se2584673776208193580ke_bit(nat,divide_divide(nat,deg,aa(nat,nat,suc,one_one(nat)))),x)) ),
    inference(forward_demodulation,[],[f64629,f52570]) ).

tff(f64732,plain,
    ( vEBT_V5719532721284313246member(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,treeList),divide_divide(nat,x,aa(nat,nat,bit_se4730199178511100633sh_bit(nat,divide_divide(nat,deg,lG436(aa(num,num,bit1,one2)))),one_one(nat)))),aa(nat,nat,bit_se2584673776208193580ke_bit(nat,divide_divide(nat,deg,lG436(aa(num,num,bit1,one2)))),x))
    | vEBT_VEBT_membermima(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,treeList),divide_divide(nat,x,aa(nat,nat,bit_se4730199178511100633sh_bit(nat,divide_divide(nat,deg,aa(nat,nat,suc,one_one(nat)))),one_one(nat)))),aa(nat,nat,bit_se2584673776208193580ke_bit(nat,divide_divide(nat,deg,aa(nat,nat,suc,one_one(nat)))),x)) ),
    inference(forward_demodulation,[],[f64687,f52345]) ).

tff(f64757,plain,
    ( vEBT_V5719532721284313246member(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,treeList),divide_divide(nat,x,aa(nat,nat,bit_se4730199178511100633sh_bit(nat,divide_divide(nat,deg,aa(nat,nat,suc,one_one(nat)))),one_one(nat)))),aa(nat,nat,bit_se2584673776208193580ke_bit(nat,divide_divide(nat,deg,aa(nat,nat,suc,one_one(nat)))),x))
    | vEBT_VEBT_membermima(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,treeList),divide_divide(nat,x,aa(nat,nat,bit_se4730199178511100633sh_bit(nat,divide_divide(nat,deg,aa(nat,nat,suc,one_one(nat)))),one_one(nat)))),aa(nat,nat,bit_se2584673776208193580ke_bit(nat,divide_divide(nat,deg,aa(nat,nat,suc,one_one(nat)))),x)) ),
    inference(forward_demodulation,[],[f64732,f61324]) ).

tff(f64760,plain,
    ( spl3637_24
    | spl3637_26 ),
    inference(avatar_split_clause,[],[f64757,f64378,f64369]) ).

tff(f67707,plain,
    ( ( aa(nat,$o,vEBT_V8194947554948674370ptions(vEBT_Node(info,deg,treeList,summary)),x) = $true )
    | ~ spl3637_23 ),
    inference(resolution,[],[f37031,f64367]) ).

tff(f67708,plain,
    ( $false
    | ~ spl3637_23 ),
    inference(forward_subsumption_resolution,[],[f67707,f52062]) ).

tff(f67709,plain,
    ~ spl3637_23,
    inference(avatar_contradiction_clause,[],[f67708]) ).

tff(f67718,plain,
    ( ( aa(nat,$o,vEBT_V8194947554948674370ptions(vEBT_Node(info,deg,treeList,summary)),x) = $true )
    | ~ spl3637_25 ),
    inference(resolution,[],[f37032,f64376]) ).

tff(f67719,plain,
    ( $false
    | ~ spl3637_25 ),
    inference(forward_subsumption_resolution,[],[f67718,f52062]) ).

tff(f67720,plain,
    ~ spl3637_25,
    inference(avatar_contradiction_clause,[],[f67719]) ).

cnf(s12,plain,
    ( spl3637_23
    | ~ spl3637_24 ),
    inference(sat_conversion,[],[f64372]) ).

cnf(s13,plain,
    ( spl3637_25
    | ~ spl3637_26 ),
    inference(sat_conversion,[],[f64381]) ).

cnf(s17,plain,
    ( spl3637_24
    | spl3637_26 ),
    inference(sat_conversion,[],[f64760]) ).

cnf(s68,plain,
    ~ spl3637_23,
    inference(sat_conversion,[],[f67709]) ).

cnf(s69,plain,
    ~ spl3637_25,
    inference(sat_conversion,[],[f67720]) ).

cnf(s71,plain,
    ~ spl3637_26,
    inference(rat,[],[s13,s69]) ).

cnf(s72,plain,
    spl3637_24,
    inference(rat,[],[s17,s71]) ).

cnf(s73,plain,
    $false,
    inference(rat,[],[s12,s72,s68]) ).

tff(f67721,plain,
    $false,
    inference(avatar_sat_refutation,[],[s73]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : ITP221_4 : TPTP v9.3.1. Bugfixed v9.3.0.
% 0.00/0.07  % Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.13/0.43  % Computer : n003.cluster.edu
% 0.13/0.43  % Model    : x86_64 x86_64
% 0.13/0.43  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.43  % Memory   : 8046.5625MB
% 0.13/0.43  % OS       : Linux 6.8.0-71-generic
% 0.13/0.43  % CPULimit : 300
% 0.13/0.43  % WCLimit  : 300
% 0.13/0.43  % DateTime : Sun Sep 27 12:28:41 UTC 2026
% 0.13/0.43  % CPUTime  : 
% 0.13/0.43  Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.18/0.48  Running first-order theorem proving
% 0.18/0.48  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
% 11.89/3.42  % (459380)Detected formulas, will run a generic FOF schedule.
% 11.89/3.42  % (459386)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=64812132:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2990 on theBenchmark for (2990ds/134677Mi)
% 11.89/3.42  % (459390)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3759716042:s2a=on:i=139:gtg=position_2990 on theBenchmark for (2990ds/139Mi)
% 11.89/3.42  % (459387)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=4210340797:i=141695:sd=1:nm=32:gsp=on:ss=included_2990 on theBenchmark for (2990ds/141695Mi)
% 11.89/3.42  % (459388)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=235431947:i=109:sd=1:ins=1:gsp=on:ss=axioms_2990 on theBenchmark for (2990ds/109Mi)
% 11.89/3.42  % (459385)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=3665782468:i=141193_2990 on theBenchmark for (2990ds/141193Mi)
% 11.89/3.42  % (459389)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=104577195:i=119:av=off:ss=axioms_2990 on theBenchmark for (2990ds/119Mi)
% 11.89/3.42  % (459391)dis-21_1_sil=8000:lcm=predicate:random_seed=2561436727:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2990 on theBenchmark for (2990ds/129Mi)
% 11.89/3.42  % (459388)Instruction limit reached! 
% 11.89/3.42  % (459388)------------------------------
% 11.89/3.42  % (459388)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.89/3.42  % (459388)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.89/3.42  % (459388)CaDiCaL version: 2.1.3
% 11.89/3.42  % (459388)Termination reason: Instruction limit
% 11.89/3.42  % (459388)Termination phase: Initialization
% 11.89/3.42  % (459388)Time elapsed: 0.052 s
% 11.89/3.42  % (459388)Peak memory usage: 98 MB
% 11.89/3.42  % (459388)Instructions burned: 111 (million)
% 11.89/3.42  % (459389)Instruction limit reached! 
% 11.89/3.42  % (459389)------------------------------
% 11.89/3.42  % (459389)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.89/3.42  % (459389)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.89/3.42  % (459389)CaDiCaL version: 2.1.3
% 11.89/3.42  % (459389)Termination reason: Instruction limit
% 11.89/3.42  % (459389)Termination phase: Initialization
% 11.89/3.42  % (459389)Time elapsed: 0.055 s
% 11.89/3.42  % (459389)Peak memory usage: 98 MB
% 11.89/3.42  % (459389)Instructions burned: 120 (million)
% 11.89/3.42  % (459390)Instruction limit reached! 
% 11.89/3.42  % (459390)------------------------------
% 11.89/3.42  % (459390)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.89/3.42  % (459390)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.89/3.42  % (459390)CaDiCaL version: 2.1.3
% 11.89/3.42  % (459390)Termination reason: Instruction limit
% 11.89/3.42  % (459390)Termination phase: Property scanning
% 11.89/3.42  % (459390)Time elapsed: 0.055 s
% 11.89/3.42  % (459390)Peak memory usage: 95 MB
% 11.89/3.42  % (459390)Instructions burned: 141 (million)
% 11.89/3.42  % (459391)Instruction limit reached! 
% 11.89/3.42  % (459391)------------------------------
% 11.89/3.42  % (459391)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.89/3.42  % (459391)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.89/3.42  % (459391)CaDiCaL version: 2.1.3
% 11.89/3.42  % (459391)Termination reason: Instruction limit
% 11.89/3.42  % (459391)Termination phase: Initialization
% 11.89/3.42  % (459391)Time elapsed: 0.059 s
% 11.89/3.42  % (459391)Peak memory usage: 98 MB
% 11.89/3.42  % (459391)Instructions burned: 131 (million)
% 11.89/3.42  % (459400)lrs+10_1_sil=32000:urr=on:br=off:random_seed=4009090546:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2988 on theBenchmark for (2988ds/157Mi)
% 11.89/3.42  % (459399)lrs+10_1_sil=8000:sp=occurrence:random_seed=1122199456:i=285:sd=3:ss=axioms:sgt=8_2988 on theBenchmark for (2988ds/285Mi)
% 11.89/3.42  % (459401)lrs+1011_1_sil=32000:sp=occurrence:random_seed=3484590037:i=325:sd=1:ss=axioms:sgt=32_2988 on theBenchmark for (2988ds/325Mi)
% 11.89/3.42  % (459402)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=2359743443:s2a=on:i=248:s2at=1.23:gtg=position_2988 on theBenchmark for (2988ds/248Mi)
% 11.89/3.42  % (459400)Instruction limit reached! 
% 11.89/3.42  % (459400)------------------------------
% 13.59/3.82  % (459400)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.59/3.82  % (459400)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.59/3.82  % (459400)CaDiCaL version: 2.1.3
% 13.59/3.82  % (459400)Termination reason: Instruction limit
% 13.59/3.82  % (459400)Termination phase: Property scanning
% 13.59/3.82  % (459400)Time elapsed: 0.062 s
% 13.59/3.82  % (459400)Peak memory usage: 95 MB
% 13.59/3.82  % (459400)Instructions burned: 158 (million)
% 13.59/3.82  % (459402)Instruction limit reached! 
% 13.59/3.82  % (459402)------------------------------
% 13.59/3.82  % (459402)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.59/3.82  % (459402)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.59/3.82  % (459402)CaDiCaL version: 2.1.3
% 13.59/3.82  % (459402)Termination reason: Instruction limit
% 13.59/3.82  % (459402)Termination phase: Property scanning
% 13.59/3.82  % (459402)Time elapsed: 0.099 s
% 13.59/3.82  % (459402)Peak memory usage: 95 MB
% 13.59/3.82  % (459402)Instructions burned: 250 (million)
% 13.59/3.82  % (459399)Instruction limit reached! 
% 13.59/3.82  % (459399)------------------------------
% 13.59/3.82  % (459399)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.59/3.82  % (459399)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.59/3.82  % (459399)CaDiCaL version: 2.1.3
% 13.59/3.82  % (459399)Termination reason: Instruction limit
% 13.59/3.82  % (459399)Termination phase: Initialization
% 13.59/3.82  % (459399)Time elapsed: 0.135 s
% 13.59/3.82  % (459399)Peak memory usage: 102 MB
% 13.59/3.82  % (459399)Instructions burned: 285 (million)
% 13.59/3.82  % (459401)Instruction limit reached! 
% 13.59/3.82  % (459401)------------------------------
% 13.59/3.82  % (459401)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.59/3.82  % (459401)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.59/3.82  % (459401)CaDiCaL version: 2.1.3
% 13.59/3.82  % (459401)Termination reason: Instruction limit
% 13.59/3.82  % (459401)Termination phase: Initialization
% 13.59/3.82  % (459401)Time elapsed: 0.156 s
% 13.59/3.82  % (459401)Peak memory usage: 103 MB
% 13.59/3.82  % (459401)Instructions burned: 326 (million)
% 13.59/3.82  % (459407)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=659595030:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2986 on theBenchmark for (2986ds/294Mi)
% 13.59/3.82  % (459408)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=1409894214:i=2350_2985 on theBenchmark for (2985ds/2350Mi)
% 13.59/3.82  % (459409)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=504561089:cts=off:i=113:fsr=off:ss=included:sgt=4_2985 on theBenchmark for (2985ds/113Mi)
% 13.59/3.82  % (459410)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=1430022267:i=127:av=off:fsr=off:sup=off_2985 on theBenchmark for (2985ds/127Mi)
% 13.59/3.82  % (459409)Instruction limit reached! 
% 13.59/3.82  % (459409)------------------------------
% 13.59/3.82  % (459409)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.59/3.82  % (459409)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.59/3.82  % (459409)CaDiCaL version: 2.1.3
% 13.59/3.82  % (459409)Termination reason: Instruction limit
% 13.59/3.82  % (459409)Termination phase: Initialization
% 13.59/3.82  % (459409)Time elapsed: 0.054 s
% 13.59/3.82  % (459409)Peak memory usage: 98 MB
% 13.59/3.82  % (459409)Instructions burned: 115 (million)
% 13.59/3.82  % (459407)Instruction limit reached! 
% 13.59/3.82  % (459407)------------------------------
% 13.59/3.82  % (459407)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.59/3.82  % (459407)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.59/3.82  % (459407)CaDiCaL version: 2.1.3
% 13.59/3.82  % (459407)Termination reason: Instruction limit
% 13.59/3.82  % (459407)Termination phase: Initialization
% 13.59/3.82  % (459407)Time elapsed: 0.142 s
% 13.59/3.82  % (459407)Peak memory usage: 103 MB
% 13.59/3.82  % (459407)Instructions burned: 295 (million)
% 13.59/3.82  % (459410)Instruction limit reached! 
% 13.59/3.82  % (459410)------------------------------
% 13.59/3.82  % (459410)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.59/3.82  % (459410)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.59/3.82  % (459410)CaDiCaL version: 2.1.3
% 13.59/3.82  % (459410)Termination reason: Instruction limit
% 13.59/3.82  % (459410)Termination phase: Initialization
% 13.59/3.82  % (459410)Time elapsed: 0.060 s
% 19.45/4.51  % (459410)Peak memory usage: 98 MB
% 19.45/4.51  % (459410)Instructions burned: 128 (million)
% 19.45/4.51  % (459415)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=564042750:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2983 on theBenchmark for (2983ds/114Mi)
% 19.45/4.51  % (459416)lrs+10_1_sil=8000:sp=occurrence:random_seed=2359099173:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2983 on theBenchmark for (2983ds/907Mi)
% 19.45/4.51  % (459415)Instruction limit reached! 
% 19.45/4.51  % (459415)------------------------------
% 19.45/4.51  % (459415)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.45/4.51  % (459415)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.45/4.51  % (459415)CaDiCaL version: 2.1.3
% 19.45/4.51  % (459415)Termination reason: Instruction limit
% 19.45/4.51  % (459415)Termination phase: Property scanning
% 19.45/4.51  % (459415)Time elapsed: 0.045 s
% 19.45/4.51  % (459415)Peak memory usage: 95 MB
% 19.45/4.51  % (459415)Instructions burned: 115 (million)
% 19.45/4.51  % (459417)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=963190168:i=437:sd=1:aac=none:ss=included_2982 on theBenchmark for (2982ds/437Mi)
% 19.45/4.51  % (459421)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=1648466869:i=5202:ss=axioms:sgt=16_2981 on theBenchmark for (2981ds/5202Mi)
% 19.45/4.51  % (459417)Instruction limit reached! 
% 19.45/4.51  % (459417)------------------------------
% 19.45/4.51  % (459417)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.45/4.51  % (459417)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.45/4.51  % (459417)CaDiCaL version: 2.1.3
% 19.45/4.51  % (459417)Termination reason: Instruction limit
% 19.45/4.51  % (459417)Termination phase: Property scanning
% 19.45/4.51  % (459417)Time elapsed: 0.206 s
% 19.45/4.51  % (459417)Peak memory usage: 104 MB
% 19.45/4.51  % (459417)Instructions burned: 438 (million)
% 19.45/4.51  % Exception at run slice level
% 19.45/4.51  User error: GNN currently only supports monomorphic FOL.
% 19.45/4.51  % (459423)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=1677843223:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2979 on theBenchmark for (2979ds/134Mi)
% 19.45/4.51  % (459424)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=2435408952:st=8:i=592:sd=3:ep=RST:ss=axioms_2978 on theBenchmark for (2978ds/592Mi)
% 19.45/4.51  % (459416)Instruction limit reached! 
% 19.45/4.51  % (459416)------------------------------
% 19.45/4.51  % (459416)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.45/4.51  % (459416)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.45/4.51  % (459416)CaDiCaL version: 2.1.3
% 19.45/4.51  % (459416)Termination reason: Instruction limit
% 19.45/4.51  % (459416)Termination phase: Preprocessing 3
% 19.45/4.51  % (459416)Time elapsed: 0.448 s
% 19.45/4.51  % (459416)Peak memory usage: 108 MB
% 19.45/4.51  % (459416)Instructions burned: 907 (million)
% 19.45/4.51  % (459423)Instruction limit reached! 
% 19.45/4.51  % (459423)------------------------------
% 19.45/4.51  % (459423)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.45/4.51  % (459423)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.45/4.51  % (459423)CaDiCaL version: 2.1.3
% 19.45/4.51  % (459423)Termination reason: Instruction limit
% 19.45/4.51  % (459423)Termination phase: Preprocessing 1
% 19.45/4.51  % (459423)Time elapsed: 0.094 s
% 19.45/4.51  % (459423)Peak memory usage: 97 MB
% 19.45/4.51  % (459423)Instructions burned: 134 (million)
% 19.45/4.51  % (459387)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 19.45/4.51  % (459424)Instruction limit reached! 
% 19.45/4.51  % (459424)------------------------------
% 19.45/4.51  % (459424)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.45/4.51  % (459424)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.45/4.51  % (459424)CaDiCaL version: 2.1.3
% 19.45/4.51  % (459424)Termination reason: Instruction limit
% 19.45/4.51  % (459424)Termination phase: Property scanning
% 19.45/4.51  % (459424)Time elapsed: 0.146 s
% 19.45/4.51  % (459424)Peak memory usage: 104 MB
% 19.45/4.51  % (459424)Instructions burned: 596 (million)
% 19.45/4.51  % (459427)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=1123201666:st=3:i=13193:sd=3:ss=axioms_2976 on theBenchmark for (2976ds/13193Mi)
% 19.45/4.51  % (459428)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=1091367230:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2976 on theBenchmark for (2976ds/125Mi)
% 27.44/5.93  % (459429)lrs+10_1024_to=lpo:sil=8000:tgt=full:sp=arity:slsq=on:random_seed=3143755028:i=134:gtgl=5:slsql=off:gtg=exists_sym_2975 on theBenchmark for (2975ds/134Mi)
% 27.44/5.93  % (459428)Instruction limit reached! 
% 27.44/5.93  % (459428)------------------------------
% 27.44/5.93  % (459428)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 27.44/5.93  % (459428)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.44/5.93  % (459428)CaDiCaL version: 2.1.3
% 27.44/5.93  % (459428)Termination reason: Instruction limit
% 27.44/5.93  % (459428)Termination phase: Property scanning
% 27.44/5.93  % (459428)Time elapsed: 0.050 s
% 27.44/5.93  % (459428)Peak memory usage: 95 MB
% 27.44/5.93  % (459428)Instructions burned: 126 (million)
% 27.44/5.93  % (459429)Instruction limit reached! 
% 27.44/5.93  % (459429)------------------------------
% 27.44/5.93  % (459429)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 27.44/5.93  % (459429)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.44/5.93  % (459429)CaDiCaL version: 2.1.3
% 27.44/5.93  % (459429)Termination reason: Instruction limit
% 27.44/5.93  % (459429)Termination phase: Property scanning
% 27.44/5.93  % (459429)Time elapsed: 0.029 s
% 27.44/5.93  % (459429)Peak memory usage: 95 MB
% 27.44/5.93  % (459429)Instructions burned: 139 (million)
% 27.44/5.93  % Exception at run slice level
% 27.44/5.93  User error: GNN currently only supports monomorphic FOL.
% 27.44/5.93  % (459433)lrs+10_1_sil=16000:plsq=on:plsqc=1:plsqr=32,1:sos=on:lcm=reverse:fd=off:newcnf=on:random_seed=3318566792:i=141:sd=1:gsp=on:sup=off:ss=axioms:sgt=8_2974 on theBenchmark for (2974ds/141Mi)
% 27.44/5.93  % (459434)lrs+1011_1_sil=8000:plsq=on:sp=occurrence:fs=off:random_seed=3176932560:i=431:sd=1:fsr=off:sup=off:ss=axioms:sgt=64_2974 on theBenchmark for (2974ds/431Mi)
% 27.44/5.93  % Exception at run slice level
% 27.44/5.93  User error: GNN currently only supports monomorphic FOL.
% 27.44/5.93  % (459408)Instruction limit reached! 
% 27.44/5.93  % (459408)------------------------------
% 27.44/5.93  % (459408)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 27.44/5.93  % (459408)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.44/5.93  % (459408)CaDiCaL version: 2.1.3
% 27.44/5.93  % (459408)Termination reason: Instruction limit
% 27.44/5.93  % (459408)Termination phase: Property scanning
% 27.44/5.93  % (459408)Time elapsed: 1.111 s
% 27.44/5.93  % (459408)Peak memory usage: 121 MB
% 27.44/5.93  % (459408)Instructions burned: 2352 (million)
% 27.44/5.93  % (459433)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 27.44/5.93  % (459433)Refutation not found, incomplete strategy
% 27.44/5.93  % (459433)------------------------------
% 27.44/5.93  % (459433)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 27.44/5.93  % (459433)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.44/5.93  % (459433)CaDiCaL version: 2.1.3
% 27.44/5.93  % (459433)Termination reason: Refutation not found, incomplete strategy
% 27.44/5.93  % (459433)Time elapsed: 0.070 s
% 27.44/5.93  % (459433)Peak memory usage: 99 MB
% 27.44/5.93  % (459433)Instructions burned: 98 (million)
% 27.44/5.93  % (459435)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=4211176547:i=6060:aac=none:ins=25_2973 on theBenchmark for (2973ds/6060Mi)
% 27.44/5.93  % (459434)Instruction limit reached! 
% 27.44/5.93  % (459434)------------------------------
% 27.44/5.93  % (459434)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 27.44/5.93  % (459434)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.44/5.93  % (459434)CaDiCaL version: 2.1.3
% 27.44/5.93  % (459434)Termination reason: Instruction limit
% 27.44/5.93  % (459434)Termination phase: Property scanning
% 27.44/5.93  % (459434)Time elapsed: 0.112 s
% 27.44/5.93  % (459434)Peak memory usage: 104 MB
% 27.44/5.93  % (459434)Instructions burned: 432 (million)
% 27.44/5.93  % (459438)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=3157709622:avsq=on:s2a=on:i=150:kws=precedence:nicw=on:gsp=on:rawr=on_2972 on theBenchmark for (2972ds/150Mi)
% 27.44/5.93  % (459439)lrs+1010_1_ncem=casc2026/models/loop8.pt:sil=64000:tgt=ground:npcc=on:sp=arity:urr=on:random_seed=2902373998:i=14155:bd=all_2972 on theBenchmark for (2972ds/14155Mi)
% 40.24/7.41  % (459438)Instruction limit reached! 
% 40.24/7.41  % (459438)------------------------------
% 40.24/7.41  % (459438)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 40.24/7.41  % (459438)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 40.24/7.41  % (459438)CaDiCaL version: 2.1.3
% 40.24/7.41  % (459438)Termination reason: Instruction limit
% 40.24/7.41  % (459438)Termination phase: Initialization
% 40.24/7.41  % (459438)Time elapsed: 0.071 s
% 40.24/7.41  % (459438)Peak memory usage: 99 MB
% 40.24/7.41  % (459438)Instructions burned: 152 (million)
% 40.24/7.41  % (459441)lrs+10_1024_sil=16000:plsq=on:plsqr=32,1:sos=all:fs=off:gs=on:newcnf=on:random_seed=4148672423:i=667:av=off:fsr=off_2971 on theBenchmark for (2971ds/667Mi)
% 40.24/7.41  % (459433)------------------------------
% 40.24/7.41  % (459433)------------------------------
% 40.24/7.41  % Exception at run slice level
% 40.24/7.41  User error: GNN currently only supports monomorphic FOL.
% 40.24/7.41  % (459444)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=697447015:s2a=on:i=185:s2at=1.8:fdi=4_2970 on theBenchmark for (2970ds/185Mi)
% 40.24/7.41  % (459444)Instruction limit reached! 
% 40.24/7.41  % (459444)------------------------------
% 40.24/7.41  % (459444)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 40.24/7.41  % (459444)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 40.24/7.41  % (459444)CaDiCaL version: 2.1.3
% 40.24/7.41  % (459444)Termination reason: Instruction limit
% 40.24/7.41  % (459444)Termination phase: Preprocessing 1
% 40.24/7.41  % (459444)Time elapsed: 0.066 s
% 40.24/7.41  % (459444)Peak memory usage: 97 MB
% 40.24/7.41  % (459444)Instructions burned: 185 (million)
% 40.24/7.41  % (459446)dis+1010_14_anc=all:to=lpo:sil=8000:sp=arity:slsq=on:random_seed=1509467761:i=193:ins=10:fsr=off:ss=axioms:fsd=on_2969 on theBenchmark for (2969ds/193Mi)
% 40.24/7.41  % (459447)dis+1011_7_sil=8000:sp=occurrence:sos=all:fd=off:random_seed=4268280053:st=5.3:i=4850:sd=4:av=off:sup=off:ss=included:sgt=16_2969 on theBenchmark for (2969ds/4850Mi)
% 40.24/7.41  % (459446)Instruction limit reached! 
% 40.24/7.41  % (459446)------------------------------
% 40.24/7.41  % (459446)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 40.24/7.41  % (459446)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 40.24/7.41  % (459446)CaDiCaL version: 2.1.3
% 40.24/7.41  % (459446)Termination reason: Instruction limit
% 40.24/7.41  % (459446)Termination phase: Initialization
% 40.24/7.41  % (459446)Time elapsed: 0.092 s
% 40.24/7.41  % (459446)Peak memory usage: 100 MB
% 40.24/7.41  % (459446)Instructions burned: 193 (million)
% 40.24/7.41  % (459449)lrs+1011_1_ncem=casc2026/models/loop8.pt:sil=32000:tgt=ground:npcc=on:sp=const_frequency:acc=on:urr=on:random_seed=2940389449:i=12111:sd=1:ss=included_2968 on theBenchmark for (2968ds/12111Mi)
% 40.24/7.41  % (459441)Instruction limit reached! 
% 40.24/7.41  % (459441)------------------------------
% 40.24/7.41  % (459441)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 40.24/7.41  % (459441)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 40.24/7.41  % (459441)CaDiCaL version: 2.1.3
% 40.24/7.41  % (459441)Termination reason: Instruction limit
% 40.24/7.41  % (459441)Termination phase: Property scanning
% 40.24/7.41  % (459441)Time elapsed: 0.446 s
% 40.24/7.41  % (459441)Peak memory usage: 117 MB
% 40.24/7.41  % (459441)Instructions burned: 669 (million)
% 40.24/7.41  % (459453)lrs-11_32_anc=all:sil=8000:spb=goal_then_units:sac=on:random_seed=40681350:i=319:kws=precedence:fsr=off_2967 on theBenchmark for (2967ds/319Mi)
% 40.24/7.41  % Exception at run slice level
% 40.24/7.41  User error: GNN currently only supports monomorphic FOL.
% 40.24/7.41  % (459453)Instruction limit reached! 
% 40.24/7.41  % (459453)------------------------------
% 40.24/7.41  % (459453)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 40.24/7.41  % (459453)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 40.24/7.41  % (459453)CaDiCaL version: 2.1.3
% 40.24/7.41  % (459453)Termination reason: Instruction limit
% 40.24/7.41  % (459453)Termination phase: Initialization
% 40.24/7.41  % (459453)Time elapsed: 0.153 s
% 40.24/7.41  % (459453)Peak memory usage: 103 MB
% 40.24/7.41  % (459453)Instructions burned: 320 (million)
% 40.24/7.41  % (459455)dis+2_1024_sil=8000:sp=reverse_arity:sos=on:lcm=reverse:sac=on:random_seed=1779947932:i=2064:ep=RST_2965 on theBenchmark for (2965ds/2064Mi)
% 52.11/9.07  % (459456)dis-1011_128_sil=32000:random_seed=2044604717:i=3706:ep=RST:av=off_2964 on theBenchmark for (2964ds/3706Mi)
% 52.11/9.07  % (459457)lrs-1002_1_sil=8000:plsq=on:plsqr=32,1:sp=occurrence:sos=on:fs=off:gs=on:newcnf=on:random_seed=688857028:i=757:sd=2:fsr=off:ss=axioms:sgt=40_2964 on theBenchmark for (2964ds/757Mi)
% 52.11/9.07  % (459457)Instruction limit reached! 
% 52.11/9.07  % (459457)------------------------------
% 52.11/9.07  % (459457)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 52.11/9.07  % (459457)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 52.11/9.07  % (459457)CaDiCaL version: 2.1.3
% 52.11/9.07  % (459457)Termination reason: Instruction limit
% 52.11/9.07  % (459457)Termination phase: Saturation
% 52.11/9.07  % (459457)Time elapsed: 0.341 s
% 52.11/9.07  % (459457)Peak memory usage: 105 MB
% 52.11/9.07  % (459457)Instructions burned: 759 (million)
% 52.11/9.07  % Exception at run slice level
% 52.11/9.07  User error: GNN currently only supports monomorphic FOL.
% 52.11/9.07  % (459461)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=64000:npcc=on:sp=occurrence:random_seed=1434096762:i=13913:ss=axioms:sgt=8_2959 on theBenchmark for (2959ds/13913Mi)
% 52.11/9.07  % Exception at run slice level
% 52.11/9.07  User error: GNN currently only supports monomorphic FOL.
% 52.11/9.07  % (459462)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:sp=const_frequency:sos=all:lma=off:random_seed=1535541170:i=9925:aac=none_2958 on theBenchmark for (2958ds/9925Mi)
% 52.11/9.07  % Exception at run slice level
% 52.11/9.07  User error: GNN currently only supports monomorphic FOL.
% 52.11/9.07  % (459464)dis-1010_50_to=lpo:sil=32000:sp=arity:sos=on:spb=goal_then_units:urr=ec_only:slsq=on:random_seed=1354793663:i=2479:sd=2:nm=16:fsr=off:ss=axioms_2957 on theBenchmark for (2957ds/2479Mi)
% 52.11/9.07  % (459455)Instruction limit reached! 
% 52.11/9.07  % (459455)------------------------------
% 52.11/9.07  % (459455)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 52.11/9.07  % (459455)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 52.11/9.07  % (459455)CaDiCaL version: 2.1.3
% 52.11/9.07  % (459455)Termination reason: Instruction limit
% 52.11/9.07  % (459455)Termination phase: Property scanning
% 52.11/9.07  % (459455)Time elapsed: 0.944 s
% 52.11/9.07  % (459455)Peak memory usage: 120 MB
% 52.11/9.07  % (459455)Instructions burned: 2066 (million)
% 52.11/9.07  % (459466)ott+1002_64_sil=16000:sp=const_min:nwc=0.5:random_seed=3457255794:i=440:nm=2:av=off:gtg=exists_all:fdi=8:gsp=on_2956 on theBenchmark for (2956ds/440Mi)
% 52.11/9.07  % (459468)dis-1011_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:erd=off:lsd=100:bsr=unit_only:random_seed=3738071140:st=1.5:i=11145:s2at=3:sd=3:fsr=off:ss=axioms_2954 on theBenchmark for (2954ds/11145Mi)
% 52.11/9.07  % (459466)Instruction limit reached! 
% 52.11/9.07  % (459466)------------------------------
% 52.11/9.07  % (459466)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 52.11/9.07  % (459466)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 52.11/9.07  % (459466)CaDiCaL version: 2.1.3
% 52.11/9.07  % (459466)Termination reason: Instruction limit
% 52.11/9.07  % (459466)Termination phase: Property scanning
% 52.11/9.07  % (459466)Time elapsed: 0.179 s
% 52.11/9.07  % (459466)Peak memory usage: 95 MB
% 52.11/9.07  % (459466)Instructions burned: 441 (million)
% 52.11/9.07  % Exception at run slice level
% 52.11/9.07  User error: GNN currently only supports monomorphic FOL.
% 52.11/9.07  % (459471)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=2623457420:cts=off:i=3034:av=off:er=known:fsd=on_2952 on theBenchmark for (2952ds/3034Mi)
% 52.11/9.07  % (459472)lrs-1011_64:1_sil=8000:erd=off:urr=on:nwc=0.7:br=off:random_seed=380306111:st=2:s2a=on:i=524:s2at=2:ss=axioms_2952 on theBenchmark for (2952ds/524Mi)
% 52.11/9.07  % (459472)Instruction limit reached! 
% 52.11/9.07  % (459472)------------------------------
% 52.11/9.07  % (459472)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 52.11/9.07  % (459472)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 52.11/9.07  % (459472)CaDiCaL version: 2.1.3
% 52.11/9.07  % (459472)Termination reason: Instruction limit
% 52.11/9.07  % (459472)Termination phase: Property scanning
% 52.11/9.07  % (459472)Time elapsed: 0.130 s
% 52.11/9.07  % (459472)Peak memory usage: 104 MB
% 52.11/9.07  % (459472)Instructions burned: 528 (million)
% 59.20/10.06  % (459475)lrs+1011_16:1_sil=8000:acc=on:urr=on:fd=preordered:flr=on:random_seed=649421941:avsq=on:i=1016:avsqr=676809,524288:sd=1:ss=axioms_2949 on theBenchmark for (2949ds/1016Mi)
% 59.20/10.06  % (459475)Instruction limit reached! 
% 59.20/10.06  % (459475)------------------------------
% 59.20/10.06  % (459475)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 59.20/10.06  % (459475)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 59.20/10.06  % (459475)CaDiCaL version: 2.1.3
% 59.20/10.06  % (459475)Termination reason: Instruction limit
% 59.20/10.06  % (459475)Termination phase: Saturation
% 59.20/10.06  % (459475)Time elapsed: 0.262 s
% 59.20/10.06  % (459475)Peak memory usage: 109 MB
% 59.20/10.06  % (459475)Instructions burned: 1017 (million)
% 59.20/10.06  % (459456)Instruction limit reached! 
% 59.20/10.06  % (459456)------------------------------
% 59.20/10.06  % (459456)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 59.20/10.06  % (459456)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 59.20/10.06  % (459456)CaDiCaL version: 2.1.3
% 59.20/10.06  % (459456)Termination reason: Instruction limit
% 59.20/10.06  % (459456)Termination phase: Saturation
% 59.20/10.06  % (459456)Time elapsed: 1.769 s
% 59.20/10.06  % (459456)Peak memory usage: 136 MB
% 59.20/10.06  % (459456)Instructions burned: 3707 (million)
% 59.20/10.06  % (459477)lrs+1010_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:drc=off:fde=none:s2agt=16:random_seed=3577730005:i=14123:bd=preordered:ins=4_2946 on theBenchmark for (2946ds/14123Mi)
% 59.20/10.06  % (459479)dis+10_4096_slsqr=16,1:sil=32000:tgt=full:plsq=on:bsr=unit_only:slsqc=1:slsq=on:random_seed=3938185934:i=5781:kws=precedence:bd=all:rawr=on_2944 on theBenchmark for (2944ds/5781Mi)
% 59.20/10.06  % (459464)Instruction limit reached! 
% 59.20/10.06  % (459464)------------------------------
% 59.20/10.06  % (459464)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 59.20/10.06  % (459464)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 59.20/10.06  % (459464)CaDiCaL version: 2.1.3
% 59.20/10.06  % (459464)Termination reason: Instruction limit
% 59.20/10.06  % (459464)Termination phase: Saturation
% 59.20/10.06  % (459464)Time elapsed: 1.273 s
% 59.20/10.06  % (459464)Peak memory usage: 114 MB
% 59.20/10.06  % (459464)Instructions burned: 2480 (million)
% 59.20/10.06  % Exception at run slice level
% 59.20/10.06  User error: GNN currently only supports monomorphic FOL.
% 59.20/10.06  % Exception at run slice level
% 59.20/10.06  User error: GNN currently only supports monomorphic FOL.
% 59.20/10.06  % (459481)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=3760446522:i=2448:gtgl=5:bd=preordered:gtg=all_2943 on theBenchmark for (2943ds/2448Mi)
% 59.20/10.06  % (459482)lrs+1011_1_ncem=casc2026/models/loop5.pt:sil=32000:tgt=full:npcc=on:lcm=reverse:random_seed=430908696:i=3223:kws=precedence:fgj=on:av=off_2942 on theBenchmark for (2942ds/3223Mi)
% 59.20/10.06  % (459447)Instruction limit reached! 
% 59.20/10.06  % (459447)------------------------------
% 59.20/10.06  % (459447)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 59.20/10.06  % (459447)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 59.20/10.06  % (459447)CaDiCaL version: 2.1.3
% 59.20/10.06  % (459447)Termination reason: Instruction limit
% 59.20/10.06  % (459447)Termination phase: Saturation
% 59.20/10.06  % (459447)Time elapsed: 2.706 s
% 59.20/10.06  % (459447)Peak memory usage: 142 MB
% 59.20/10.06  % (459447)Instructions burned: 4851 (million)
% 59.20/10.06  % (459483)lrs+1002_1_ncem=casc2026/models/loop4.pt:sil=8000:npcc=on:sp=occurrence:sos=on:random_seed=410279586:st=5.6:i=2033:sd=3:ss=axioms_2942 on theBenchmark for (2942ds/2033Mi)
% 59.20/10.06  % (459487)lrs-1010_1_ncem=casc2026/models/loop8.pt:sil=64000:npcc=on:bsd=on:random_seed=1612771505:i=2055:nm=16:gtg=position:ss=axioms:fsd=on_2940 on theBenchmark for (2940ds/2055Mi)
% 59.20/10.06  % Exception at run slice level
% 59.20/10.06  User error: GNN currently only supports monomorphic FOL.
% 59.20/10.06  % Exception at run slice level
% 59.20/10.06  User error: GNN currently only supports monomorphic FOL.
% 59.20/10.06  % (459489)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=560158896:i=21611:sd=3:ss=axioms_2936 on theBenchmark for (2936ds/21611Mi)
% 59.20/10.06  % (459490)lrs+10_1_sil=8000:sp=occurrence:sos=all:lma=off:random_seed=533968080:i=4835:sd=13:ss=axioms:sgt=23_2936 on theBenchmark for (2936ds/4835Mi)
% 68.64/11.53  % Exception at run slice level
% 68.64/11.53  User error: GNN currently only supports monomorphic FOL.
% 68.64/11.53  % (459483)Instruction limit reached! 
% 68.64/11.53  % (459483)------------------------------
% 68.64/11.53  % (459483)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 68.64/11.53  % (459483)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 68.64/11.53  % (459483)CaDiCaL version: 2.1.3
% 68.64/11.53  % (459483)Termination reason: Instruction limit
% 68.64/11.53  % (459483)Termination phase: Saturation
% 68.64/11.53  % (459483)Time elapsed: 1.032 s
% 68.64/11.53  % (459483)Peak memory usage: 128 MB
% 68.64/11.53  % (459483)Instructions burned: 2034 (million)
% 68.64/11.53  % (459481)Instruction limit reached! 
% 68.64/11.53  % (459481)------------------------------
% 68.64/11.53  % (459481)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 68.64/11.53  % (459481)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 68.64/11.53  % (459481)CaDiCaL version: 2.1.3
% 68.64/11.53  % (459481)Termination reason: Instruction limit
% 68.64/11.53  % (459481)Termination phase: Function definition elimination
% 68.64/11.53  % (459481)Time elapsed: 1.140 s
% 68.64/11.53  % (459481)Peak memory usage: 120 MB
% 68.64/11.53  % (459481)Instructions burned: 2448 (million)
% 68.64/11.53  % Exception at run slice level
% 68.64/11.53  User error: GNN currently only supports monomorphic FOL.
% 68.64/11.53  % (459493)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=1019982410:st=5:i=797:s2at=3:sd=4:bs=unit_only:av=off:sup=off:ss=included_2930 on theBenchmark for (2930ds/797Mi)
% 68.64/11.53  % (459494)lrs-1011_5_sil=8000:sp=const_max:sos=on:lsd=50:rnwc=on:rp=on:nwc=2.6:alpa=false:random_seed=1028767749:i=2326:kws=inv_precedence:aac=none:nicw=on:bs=unit_only:nm=16:ins=2:fsd=on_2930 on theBenchmark for (2930ds/2326Mi)
% 68.64/11.53  % (459495)lrs+10_1_ncem=casc2026/models/loop5.pt:sil=8000:npcc=on:sos=all:urr=on:br=off:random_seed=3653181844:i=6038:nm=6_2929 on theBenchmark for (2929ds/6038Mi)
% 68.64/11.53  % (459497)lrs+10_1_sil=32000:sp=occurrence:random_seed=1626064209:st=2:i=33334:sd=3:ss=included:sgt=32_2929 on theBenchmark for (2929ds/33334Mi)
% 68.64/11.53  % (459493)Instruction limit reached! 
% 68.64/11.53  % (459493)------------------------------
% 68.64/11.53  % (459493)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 68.64/11.53  % (459493)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 68.64/11.53  % (459493)CaDiCaL version: 2.1.3
% 68.64/11.53  % (459493)Termination reason: Instruction limit
% 68.64/11.53  % (459493)Termination phase: NewCNF
% 68.64/11.53  % (459493)Time elapsed: 0.285 s
% 68.64/11.53  % (459493)Peak memory usage: 116 MB
% 68.64/11.53  % (459493)Instructions burned: 798 (million)
% 68.64/11.53  % Exception at run slice level
% 68.64/11.53  User error: GNN currently only supports monomorphic FOL.
% 68.64/11.53  % (459501)lrs+10_4_sil=8000:plsq=on:plsqr=1,64:sp=occurrence:urr=on:bsr=on:br=off:random_seed=1536215084:st=3.7:s2a=on:i=1008:s2at=1.2:sd=3:bd=all:av=off:fdi=8:sup=off:ss=axioms_2926 on theBenchmark for (2926ds/1008Mi)
% 68.64/11.53  % (459502)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=2295407763:i=8327:s2at=5:bd=preordered_2926 on theBenchmark for (2926ds/8327Mi)
% 68.64/11.53  % (459501)Instruction limit reached! 
% 68.64/11.53  % (459501)------------------------------
% 68.64/11.53  % (459501)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 68.64/11.53  % (459501)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 68.64/11.53  % (459501)CaDiCaL version: 2.1.3
% 68.64/11.53  % (459501)Termination reason: Instruction limit
% 68.64/11.53  % (459501)Termination phase: Preprocessing 1
% 68.64/11.53  % (459501)Time elapsed: 0.276 s
% 68.64/11.53  % (459501)Peak memory usage: 105 MB
% 68.64/11.53  % (459501)Instructions burned: 1008 (million)
% 68.64/11.53  % (459505)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=1152209999:s2a=on:i=1083:s2at=1.87328:slsql=off:ep=RSTC:fdi=16_2922 on theBenchmark for (2922ds/1083Mi)
% 68.64/11.53  % (459494)Instruction limit reached! 
% 68.64/11.53  % (459494)------------------------------
% 68.64/11.53  % (459494)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 68.64/11.53  % (459494)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 68.64/11.53  % (459494)CaDiCaL version: 2.1.3
% 68.64/11.53  % (459494)Termination reason: Instruction limit
% 68.64/11.53  % (459494)Termination phase: Property scanning
% 68.64/11.53  % (459494)Time elapsed: 1.051 s
% 68.64/11.53  % (459494)Peak memory usage: 122 MB
% 68.64/11.53  % (459494)Instructions burned: 2327 (million)
% 68.64/11.53  % (459505)Instruction limit reached! 
% 68.64/11.53  % (459505)------------------------------
% 68.64/11.53  % (459505)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 68.64/11.53  % (459505)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 68.64/11.53  % (459505)CaDiCaL version: 2.1.3
% 68.64/11.53  % (459505)Termination reason: Instruction limit
% 68.64/11.53  % (459505)Termination phase: Preprocessing 3
% 68.64/11.53  % (459505)Time elapsed: 0.301 s
% 68.64/11.53  % (459505)Peak memory usage: 112 MB
% 68.64/11.53  % (459505)Instructions burned: 1084 (million)
% 68.64/11.53  % (459508)lrs+1010_1_ncem=casc2026/models/loop8.pt:sil=32000:tgt=full:npcc=on:erd=off:spb=goal:sac=on:newcnf=on:random_seed=365465072:i=6995:s2at=5:gtg=all_2918 on theBenchmark for (2918ds/6995Mi)
% 68.64/11.53  % (459507)lrs-1004_3_to=lpo:sil=16000:drc=off:sims=off:spb=goal:fd=preordered:random_seed=1310632940:i=1084:sd=1:bd=preordered:av=off:fsr=off:ss=axioms:sgt=14_2918 on theBenchmark for (2918ds/1084Mi)
% 68.64/11.53  % (459479)Instruction limit reached! 
% 68.64/11.53  % (459479)------------------------------
% 68.64/11.53  % (459479)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 68.64/11.53  % (459479)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 68.64/11.53  % (459479)CaDiCaL version: 2.1.3
% 68.64/11.53  % (459479)Termination reason: Instruction limit
% 68.64/11.53  % (459479)Termination phase: Saturation
% 68.64/11.53  % (459479)Time elapsed: 2.791 s
% 68.64/11.53  % (459479)Peak memory usage: 142 MB
% 68.64/11.53  % (459479)Instructions burned: 5782 (million)
% 68.64/11.53  % Exception at run slice level
% 68.64/11.53  User error: GNN currently only supports monomorphic FOL.
% 68.64/11.53  % (459511)lrs+10_1_sil=32000:sp=occurrence:sos=on:urr=on:rnwc=on:random_seed=708435409:st=2:i=6225:sd=15:ss=axioms_2915 on theBenchmark for (2915ds/6225Mi)
% 68.64/11.53  % (459507)Instruction limit reached! 
% 68.64/11.53  % (459507)------------------------------
% 68.64/11.53  % (459507)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 68.64/11.53  % (459507)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 68.64/11.53  % (459507)CaDiCaL version: 2.1.3
% 68.64/11.53  % (459507)Termination reason: Instruction limit
% 68.64/11.53  % (459507)Termination phase: Saturation
% 68.64/11.53  % (459507)Time elapsed: 0.493 s
% 68.64/11.53  % (459507)Peak memory usage: 108 MB
% 68.64/11.53  % (459507)Instructions burned: 1087 (million)
% 68.64/11.53  % (459512)dis-1011_1_ncem=casc2026/models/loop7.pt:sil=64000:npcc=on:lcm=reverse:random_seed=2856700238:cond=fast:i=3372:sd=1:nm=16:gtg=position:ss=axioms_2913 on theBenchmark for (2913ds/3372Mi)
% 68.64/11.53  % Exception at run slice level
% 68.64/11.53  User error: Immediate (shared) subterms of term/literal aa(set(X2),set(X0),image(X2,X0,X3),X4) = sF3696(X2,X0,X3,X4) have different types/not well-typed!
% 68.64/11.53  % (459514)lrs+1010_1_ncem=casc2026/models/loop8.pt:sil=64000:npcc=on:sos=all:random_seed=681434149:st=2.3:i=26457:sd=10:ss=included:sgt=8_2912 on theBenchmark for (2912ds/26457Mi)
% 68.64/11.53  % Exception at run slice level
% 68.64/11.53  User error: GNN currently only supports monomorphic FOL.
% 68.64/11.53  % (459516)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=1514174506:i=13494:s2at=1.31:bd=all:ins=10:gtg=exists_top_2910 on theBenchmark for (2910ds/13494Mi)
% 68.64/11.53  % (459490)Instruction limit reached! 
% 68.64/11.53  % (459490)------------------------------
% 68.64/11.53  % (459490)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 68.64/11.53  % (459490)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 68.64/11.53  % (459490)CaDiCaL version: 2.1.3
% 68.64/11.53  % (459490)Termination reason: Instruction limit
% 68.64/11.53  % (459490)Termination phase: Saturation
% 68.64/11.53  % (459490)Time elapsed: 2.647 s
% 68.64/11.53  % (459490)Peak memory usage: 134 MB
% 68.64/11.53  % (459490)Instructions burned: 4836 (million)
% 68.64/11.53  % (459518)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=2637620014:i=2503:nm=4:gsp=on:ss=axioms:sgt=15_2910 on theBenchmark for (2910ds/2503Mi)
% 68.64/11.53  % (459521)lrs+1011_1_ncem=casc2026/models/loop1.pt:sil=16000:npcc=on:sos=on:lsd=10:random_seed=677206570:i=2559:sd=1:ep=RSTC:ss=axioms_2908 on theBenchmark for (2908ds/2559Mi)
% 68.64/11.53  % Exception at run slice level
% 68.64/11.53  User error: GNN currently only supports monomorphic FOL.
% 68.64/11.53  % (459518)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 68.64/11.53  % (459523)ott+1_1_ncem=casc2026/models/loop8.pt:sil=64000:tgt=full:npcc=on:fdtod=off:random_seed=3165281882:i=30753:av=off:ss=included_2902 on theBenchmark for (2902ds/30753Mi)
% 68.64/11.53  % Exception at run slice level
% 68.64/11.53  User error: GNN currently only supports monomorphic FOL.
% 68.64/11.53  % Exception at run slice level
% 68.64/11.53  User error: GNN currently only supports monomorphic FOL.
% 68.64/11.53  % (459525)lrs+10_1024_sil=64000:plsq=on:plsqc=4:plsqr=128,1:urr=on:plsql=on:br=off:random_seed=1814023364:i=26473:ep=RSTC_2900 on theBenchmark for (2900ds/26473Mi)
% 68.64/11.53  % Exception at run slice level
% 68.64/11.53  User error: GNN currently only supports monomorphic FOL.
% 68.64/11.53  % (459527)dis-1011_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=32000:tgt=ground:npcc=on:sp=arity:sos=on:erd=off:rp=on:gs=on:kmz=on:random_seed=2412665882:cts=off:i=2759:kws=inv_arity:fgj=on_2898 on theBenchmark for (2898ds/2759Mi)
% 68.64/11.53  % (459528)lrs-1011_1_anc=all_dependent:ncem=casc2026/models/loop7.pt:sil=32000:npcc=on:fde=unused:sp=weighted_frequency:sos=all:spb=goal_then_units:urr=ec_only:sac=on:random_seed=2824304961:st=1.2:i=5665:sd=2:ep=RSTC:gsp=on:ss=axioms_2898 on theBenchmark for (2898ds/5665Mi)
% 68.64/11.53  % (459497)First to succeed.
% 68.64/11.53  % (459497)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-459380"
% 68.64/11.53  % Exception at run slice level
% 68.64/11.53  User error: GNN currently only supports monomorphic FOL.
% 68.64/11.53  % (459497)Refutation found. Thanks to Tanya!
% 68.64/11.53  % SZS status Theorem for theBenchmark
% 68.64/11.53  % SZS output start Proof for theBenchmark
% See solution above
% 70.07/11.75  % (459497)------------------------------
% 70.07/11.75  % (459497)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 70.07/11.75  % (459497)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 70.07/11.75  % (459497)CaDiCaL version: 2.1.3
% 70.07/11.75  % (459497)Termination reason: Refutation
% 70.07/11.75  % (459497)Time elapsed: 3.118 s
% 70.07/11.75  % (459497)Peak memory usage: 145 MB
% 70.07/11.75  % (459497)Instructions burned: 5483 (million)
% 70.07/11.75  % (459497)------------------------------
% 70.07/11.75  % (459497)------------------------------
% 70.07/11.75  % (459380)Success in time 10.618 s
% 70.07/11.75  % Vampire exiting
%------------------------------------------------------------------------------