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Vampire---5.0.1.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : ITP257_4 : TPTP v9.3.1. Bugfixed v9.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM

% Computer : n015.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Tue Sep 29 11:32:07 AM UTC 2026

% Result   : Theorem 52.65s 9.27s
% Output   : Refutation 53.30s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :    8
% Syntax   : Number of formulae    :   28 (  28 unt;   0 typ;   0 def)
%            Number of atoms       :   28 (  27 equ)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :   10 (  10   ~;   0   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    3 (   2 avg)
%            Maximal term depth    :   18 (   2 avg)
%            Number of FOOLs       :    1 (   1 fml;   0 var)
%            Number of types       :   13 (  12 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of predicates  :  882 ( 880 usr;   1 prp; 0-7 aty)
%            Number of functors    : 3465 (3465 usr; 238 con; 0-8 aty)
%            Number of variables   :   12 (  12   !;   0   ?;  12   :)

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

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

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

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

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

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

tff(type_def_11,type,
    option: $tType > $tType ).

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

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

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

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

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

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

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

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

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

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

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

tff(type_def_23,type,
    a: $tType ).

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

tff(func_def_794,type,
    aTP_Lamp_hg: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_795,type,
    aTP_Lamp_hh: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_796,type,
    aTP_Lamp_hi: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_797,type,
    aTP_Lamp_hj: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_798,type,
    aTP_Lamp_hk: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_799,type,
    aTP_Lamp_hl: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_800,type,
    aTP_Lamp_hm: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_801,type,
    aTP_Lamp_hn: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_802,type,
    aTP_Lamp_ho: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_803,type,
    aTP_Lamp_hp: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_804,type,
    aTP_Lamp_hq: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_805,type,
    aTP_Lamp_hr: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_806,type,
    aTP_Lamp_hs: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_807,type,
    aTP_Lamp_ht: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_808,type,
    aTP_Lamp_hu: 
      !>[X0: $tType,X1: $tType] : fun(X0,X1) ).

tff(func_def_809,type,
    aTP_Lamp_hv: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_810,type,
    aTP_Lamp_hw: 
      !>[X0: $tType,X1: $tType] : fun(X0,X1) ).

tff(func_def_811,type,
    aTP_Lamp_hx: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_812,type,
    aTP_Lamp_hy: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_813,type,
    aTP_Lamp_hz: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_814,type,
    aTP_Lamp_ia: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_815,type,
    aTP_Lamp_ib: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_816,type,
    aTP_Lamp_ic: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_817,type,
    aTP_Lamp_id: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_818,type,
    aTP_Lamp_ie: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_819,type,
    aTP_Lamp_if: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_820,type,
    aTP_Lamp_ig: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_821,type,
    aTP_Lamp_ih: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_822,type,
    aTP_Lamp_ii: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_823,type,
    aTP_Lamp_ij: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_824,type,
    aTP_Lamp_ik: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_825,type,
    aTP_Lamp_il: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_826,type,
    aTP_Lamp_im: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_827,type,
    aTP_Lamp_in: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_828,type,
    aTP_Lamp_io: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_829,type,
    aTP_Lamp_ip: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_830,type,
    aTP_Lamp_iq: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_831,type,
    aTP_Lamp_ir: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_832,type,
    aTP_Lamp_is: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_833,type,
    aTP_Lamp_it: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_834,type,
    aTP_Lamp_iu: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_835,type,
    aTP_Lamp_iv: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_836,type,
    aTP_Lamp_iw: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_837,type,
    aTP_Lamp_ix: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_838,type,
    aTP_Lamp_iy: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_839,type,
    aTP_Lamp_iz: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_840,type,
    aTP_Lamp_ja: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_841,type,
    aTP_Lamp_jb: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_842,type,
    aTP_Lamp_jc: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_843,type,
    aTP_Lamp_jd: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_844,type,
    aTP_Lamp_je: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_845,type,
    aTP_Lamp_jf: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_846,type,
    aTP_Lamp_jg: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_847,type,
    aTP_Lamp_jh: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_848,type,
    aTP_Lamp_ji: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_849,type,
    aTP_Lamp_jj: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_850,type,
    aTP_Lamp_jk: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_851,type,
    aTP_Lamp_jl: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_852,type,
    aTP_Lamp_jm: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_853,type,
    aTP_Lamp_jn: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_854,type,
    aTP_Lamp_jo: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_855,type,
    aTP_Lamp_jp: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_856,type,
    aTP_Lamp_jq: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_857,type,
    aTP_Lamp_jr: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_858,type,
    aTP_Lamp_js: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_859,type,
    aTP_Lamp_jt: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_860,type,
    aTP_Lamp_ju: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_861,type,
    aTP_Lamp_jv: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_862,type,
    aTP_Lamp_jw: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_863,type,
    aTP_Lamp_jx: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_864,type,
    aTP_Lamp_jy: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_865,type,
    aTP_Lamp_jz: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_866,type,
    aTP_Lamp_ka: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_867,type,
    aTP_Lamp_kb: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_868,type,
    aTP_Lamp_kc: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_869,type,
    aTP_Lamp_kd: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_870,type,
    aTP_Lamp_ke: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_871,type,
    aTP_Lamp_kf: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_872,type,
    aTP_Lamp_kg: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_873,type,
    aTP_Lamp_kh: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_874,type,
    aTP_Lamp_ki: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_875,type,
    aTP_Lamp_kj: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_876,type,
    aTP_Lamp_kk: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_877,type,
    aTP_Lamp_kl: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_878,type,
    aTP_Lamp_km: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_879,type,
    aTP_Lamp_kn: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_880,type,
    aTP_Lamp_ko: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_881,type,
    aTP_Lamp_kp: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_882,type,
    aTP_Lamp_kq: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_883,type,
    aTP_Lamp_kr: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_884,type,
    aTP_Lamp_ks: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_885,type,
    aTP_Lamp_kt: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_886,type,
    aTP_Lamp_ku: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_887,type,
    aTP_Lamp_kv: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_888,type,
    aTP_Lamp_kw: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_889,type,
    aTP_Lamp_kx: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_890,type,
    aTP_Lamp_ky: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_891,type,
    aTP_Lamp_kz: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_892,type,
    aTP_Lamp_la: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_893,type,
    aTP_Lamp_lb: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_894,type,
    aTP_Lamp_lc: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_895,type,
    aTP_Lamp_ld: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_896,type,
    aTP_Lamp_le: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_897,type,
    aTP_Lamp_lf: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_898,type,
    aTP_Lamp_lg: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_899,type,
    aTP_Lamp_lh: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_900,type,
    aTP_Lamp_li: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_901,type,
    aTP_Lamp_lj: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_902,type,
    aTP_Lamp_lk: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_903,type,
    aTP_Lamp_ll: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_904,type,
    aTP_Lamp_lm: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_905,type,
    aTP_Lamp_ln: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_906,type,
    aTP_Lamp_lo: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_907,type,
    aTP_Lamp_lp: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_908,type,
    aTP_Lamp_lq: 
      !>[X0: $tType,X1: $tType] : fun(X0,X1) ).

tff(func_def_909,type,
    aTP_Lamp_lr: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_910,type,
    aTP_Lamp_ls: 
      !>[X0: $tType,X1: $tType] : fun(X0,X1) ).

tff(func_def_911,type,
    aTP_Lamp_lt: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_912,type,
    aTP_Lamp_lu: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_913,type,
    aTP_Lamp_lv: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_914,type,
    aTP_Lamp_lw: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_915,type,
    aTP_Lamp_lx: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_916,type,
    aTP_Lamp_ly: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_917,type,
    aTP_Lamp_lz: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_918,type,
    aTP_Lamp_ma: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_919,type,
    aTP_Lamp_mb: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_920,type,
    aTP_Lamp_mc: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_921,type,
    aTP_Lamp_md: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_922,type,
    aTP_Lamp_me: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_923,type,
    aTP_Lamp_mf: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_924,type,
    aTP_Lamp_mg: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_925,type,
    aTP_Lamp_mh: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_926,type,
    aTP_Lamp_mi: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_927,type,
    aTP_Lamp_mj: 
      !>[X0: $tType,X1: $tType] : fun(X0,X1) ).

tff(func_def_928,type,
    aTP_Lamp_mk: 
      !>[X0: $tType,X1: $tType] : fun(X0,X1) ).

tff(func_def_929,type,
    aTP_Lamp_ml: 
      !>[X0: $tType,X1: $tType] : fun(X0,X1) ).

tff(func_def_930,type,
    aTP_Lamp_mm: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_931,type,
    aTP_Lamp_mn: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_932,type,
    aTP_Lamp_mo: 
      !>[X0: $tType,X1: $tType] : fun(X0,X1) ).

tff(func_def_933,type,
    aTP_Lamp_mp: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_934,type,
    aTP_Lamp_mq: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_935,type,
    aTP_Lamp_mr: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_936,type,
    aTP_Lamp_ms: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_937,type,
    aTP_Lamp_mt: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_938,type,
    aTP_Lamp_mu: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_939,type,
    aTP_Lamp_mv: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_940,type,
    aTP_Lamp_mw: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_941,type,
    aTP_Lamp_mx: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_942,type,
    aTP_Lamp_my: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_943,type,
    aTP_Lamp_mz: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_944,type,
    aTP_Lamp_na: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_945,type,
    aTP_Lamp_nb: 
      !>[X0: $tType,X1: $tType] : fun(X0,X1) ).

tff(func_def_946,type,
    aTP_Lamp_nc: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_947,type,
    aTP_Lamp_nd: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_948,type,
    aTP_Lamp_ne: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_949,type,
    aTP_Lamp_nf: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_950,type,
    aTP_Lamp_ng: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_951,type,
    aTP_Lamp_nh: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_952,type,
    aTP_Lamp_ni: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_953,type,
    aTP_Lamp_nj: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_954,type,
    aTP_Lamp_nk: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_955,type,
    aTP_Lamp_nl: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_956,type,
    aTP_Lamp_nm: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_957,type,
    aTP_Lamp_nn: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_958,type,
    aTP_Lamp_no: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_959,type,
    aTP_Lamp_np: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_960,type,
    aTP_Lamp_nq: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_961,type,
    aTP_Lamp_nr: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_962,type,
    aTP_Lamp_ns: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_963,type,
    aTP_Lamp_nt: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_964,type,
    aTP_Lamp_nu: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_965,type,
    aTP_Lamp_nv: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_966,type,
    aTP_Lamp_nw: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_967,type,
    aTP_Lamp_nx: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_968,type,
    aTP_Lamp_ny: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_969,type,
    aTP_Lamp_nz: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_970,type,
    aTP_Lamp_oa: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_971,type,
    aTP_Lamp_ob: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_972,type,
    aTP_Lamp_oc: 
      !>[X0: $tType,X1: $tType] : fun(X0,X1) ).

tff(func_def_973,type,
    aTP_Lamp_od: 
      !>[X0: $tType,X1: $tType] : fun(X0,X1) ).

tff(func_def_974,type,
    aTP_Lamp_oe: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_975,type,
    aTP_Lamp_of: 
      !>[X0: $tType,X1: $tType] : fun(X0,X1) ).

tff(func_def_976,type,
    aTP_Lamp_og: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_977,type,
    aTP_Lamp_oh: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_978,type,
    aTP_Lamp_oi: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_979,type,
    aTP_Lamp_oj: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_980,type,
    aTP_Lamp_ok: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_981,type,
    aTP_Lamp_ol: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_982,type,
    aTP_Lamp_om: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_983,type,
    aTP_Lamp_on: 
      !>[X0: $tType,X1: $tType] : fun(X0,X1) ).

tff(func_def_984,type,
    aTP_Lamp_oo: 
      !>[X0: $tType,X1: $tType] : fun(X0,X1) ).

tff(func_def_985,type,
    aTP_Lamp_op: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_986,type,
    aTP_Lamp_oq: 
      !>[X0: $tType,X1: $tType] : fun(X0,X1) ).

tff(func_def_987,type,
    aTP_Lamp_or: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_988,type,
    aTP_Lamp_os: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_989,type,
    aTP_Lamp_ot: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_990,type,
    aTP_Lamp_ou: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_991,type,
    aTP_Lamp_ov: 
      !>[X0: $tType,X1: $tType] : fun(X0,X1) ).

tff(func_def_992,type,
    aTP_Lamp_ow: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_993,type,
    aTP_Lamp_ox: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_994,type,
    aTP_Lamp_oy: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_995,type,
    aTP_Lamp_oz: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_996,type,
    aTP_Lamp_pa: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_997,type,
    aTP_Lamp_pb: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_998,type,
    aTP_Lamp_pc: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_999,type,
    aTP_Lamp_pd: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1000,type,
    aTP_Lamp_pe: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1001,type,
    aTP_Lamp_pf: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1002,type,
    aTP_Lamp_pg: 
      !>[X0: $tType,X1: $tType] : fun(X0,X1) ).

tff(func_def_1003,type,
    aTP_Lamp_ph: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1004,type,
    aTP_Lamp_pi: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1005,type,
    aTP_Lamp_pj: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1006,type,
    aTP_Lamp_pk: 
      !>[X0: $tType,X1: $tType] : fun(X0,X1) ).

tff(func_def_1007,type,
    aTP_Lamp_pl: 
      !>[X0: $tType,X1: $tType] : fun(X0,X1) ).

tff(func_def_1008,type,
    aTP_Lamp_pm: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1009,type,
    aTP_Lamp_pn: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1010,type,
    aTP_Lamp_po: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1011,type,
    aTP_Lamp_pp: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1012,type,
    aTP_Lamp_pq: 
      !>[X0: $tType,X1: $tType] : fun(X0,X1) ).

tff(func_def_1013,type,
    aTP_Lamp_pr: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1014,type,
    aTP_Lamp_ps: 
      !>[X0: $tType,X1: $tType] : fun(X0,X1) ).

tff(func_def_1015,type,
    aTP_Lamp_pt: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1016,type,
    aTP_Lamp_pu: 
      !>[X0: $tType,X1: $tType] : fun(X0,X1) ).

tff(func_def_1017,type,
    aTP_Lamp_pv: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1018,type,
    aTP_Lamp_pw: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1019,type,
    aTP_Lamp_px: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1020,type,
    aTP_Lamp_py: 
      !>[X0: $tType,X1: $tType] : fun(X0,X1) ).

tff(func_def_1021,type,
    aTP_Lamp_pz: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1022,type,
    aTP_Lamp_qa: 
      !>[X0: $tType,X1: $tType] : fun(X0,X1) ).

tff(func_def_1023,type,
    aTP_Lamp_qb: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1024,type,
    aTP_Lamp_qc: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1025,type,
    aTP_Lamp_qd: 
      !>[X0: $tType,X1: $tType] : fun(X0,X1) ).

tff(func_def_1026,type,
    aTP_Lamp_qe: 
      !>[X0: $tType,X1: $tType] : fun(X0,X1) ).

tff(func_def_1027,type,
    aTP_Lamp_qf: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1028,type,
    aTP_Lamp_qg: 
      !>[X0: $tType,X1: $tType] : fun(X0,X1) ).

tff(func_def_1029,type,
    aTP_Lamp_qh: 
      !>[X0: $tType,X1: $tType] : fun(X0,X1) ).

tff(func_def_1030,type,
    aTP_Lamp_qi: 
      !>[X0: $tType,X1: $tType] : fun(X0,X1) ).

tff(func_def_1031,type,
    aTP_Lamp_qj: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1032,type,
    aTP_Lamp_qk: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1033,type,
    aTP_Lamp_ql: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1034,type,
    aTP_Lamp_qm: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1035,type,
    aTP_Lamp_qn: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1036,type,
    aTP_Lamp_qo: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1037,type,
    aTP_Lamp_qp: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1038,type,
    aTP_Lamp_qq: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1039,type,
    aTP_Lamp_qr: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1040,type,
    aTP_Lamp_qs: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1041,type,
    aTP_Lamp_qt: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1042,type,
    aTP_Lamp_qu: 
      !>[X0: $tType,X1: $tType] : fun(X0,X1) ).

tff(func_def_1043,type,
    aTP_Lamp_qv: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1044,type,
    aTP_Lamp_qw: 
      !>[X0: $tType,X1: $tType] : fun(X0,X1) ).

tff(func_def_1045,type,
    aTP_Lamp_qx: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1046,type,
    aTP_Lamp_qy: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1047,type,
    aTP_Lamp_qz: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1048,type,
    aTP_Lamp_ra: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1049,type,
    aTP_Lamp_rb: 
      !>[X0: $tType,X1: $tType] : fun(X0,X1) ).

tff(func_def_1050,type,
    aTP_Lamp_rc: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1051,type,
    aTP_Lamp_rd: 
      !>[X0: $tType,X1: $tType] : fun(X0,X1) ).

tff(func_def_1052,type,
    aTP_Lamp_re: 
      !>[X0: $tType,X1: $tType] : fun(X0,X1) ).

tff(func_def_1053,type,
    aTP_Lamp_rf: 
      !>[X0: $tType,X1: $tType] : fun(X0,X1) ).

tff(func_def_1054,type,
    aTP_Lamp_rg: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1055,type,
    aTP_Lamp_rh: 
      !>[X0: $tType,X1: $tType] : fun(X0,X1) ).

tff(func_def_1056,type,
    aTP_Lamp_ri: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1057,type,
    aTP_Lamp_rj: 
      !>[X0: $tType,X1: $tType] : fun(X0,X1) ).

tff(func_def_1058,type,
    aTP_Lamp_rk: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1059,type,
    aTP_Lamp_rl: 
      !>[X0: $tType,X1: $tType] : fun(X0,X1) ).

tff(func_def_1060,type,
    aTP_Lamp_rm: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1061,type,
    aTP_Lamp_rn: 
      !>[X0: $tType,X1: $tType] : fun(X0,X1) ).

tff(func_def_1062,type,
    aTP_Lamp_ro: 
      !>[X0: $tType,X1: $tType] : fun(X0,X1) ).

tff(func_def_1063,type,
    aTP_Lamp_rp: 
      !>[X0: $tType,X1: $tType] : fun(X0,X1) ).

tff(func_def_1064,type,
    aTP_Lamp_rq: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1065,type,
    aTP_Lamp_rr: 
      !>[X0: $tType,X1: $tType] : fun(X0,X1) ).

tff(func_def_1066,type,
    aTP_Lamp_rs: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1067,type,
    aTP_Lamp_rt: 
      !>[X0: $tType,X1: $tType] : fun(X0,X1) ).

tff(func_def_1068,type,
    aTP_Lamp_ru: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1069,type,
    aTP_Lamp_rv: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1070,type,
    aTP_Lamp_rw: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1071,type,
    aTP_Lamp_rx: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1072,type,
    aTP_Lamp_ry: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1073,type,
    aTP_Lamp_rz: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1074,type,
    aTP_Lamp_sa: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1075,type,
    aTP_Lamp_sb: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1076,type,
    aTP_Lamp_sc: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1077,type,
    aTP_Lamp_sd: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1078,type,
    aTP_Lamp_se: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1079,type,
    aTP_Lamp_sf: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1080,type,
    aTP_Lamp_sg: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1081,type,
    aTP_Lamp_sh: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1082,type,
    aTP_Lamp_si: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1083,type,
    aTP_Lamp_sj: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1084,type,
    aTP_Lamp_sk: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1085,type,
    aTP_Lamp_sl: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1086,type,
    aTP_Lamp_sm: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1087,type,
    aTP_Lamp_sn: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1088,type,
    aTP_Lamp_so: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1089,type,
    aTP_Lamp_sp: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1090,type,
    aTP_Lamp_sq: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1091,type,
    aTP_Lamp_sr: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1092,type,
    aTP_Lamp_ss: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1093,type,
    aTP_Lamp_st: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1094,type,
    aTP_Lamp_su: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1095,type,
    aTP_Lamp_sv: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1096,type,
    aTP_Lamp_sw: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1097,type,
    aTP_Lamp_sx: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1098,type,
    aTP_Lamp_sy: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1099,type,
    aTP_Lamp_sz: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1100,type,
    aTP_Lamp_ta: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1101,type,
    aTP_Lamp_tb: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1102,type,
    aTP_Lamp_tc: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1103,type,
    aTP_Lamp_td: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1104,type,
    aTP_Lamp_te: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1105,type,
    aTP_Lamp_tf: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1106,type,
    aTP_Lamp_tg: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1107,type,
    aTP_Lamp_th: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1108,type,
    aTP_Lamp_ti: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1109,type,
    aTP_Lamp_tj: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1110,type,
    aTP_Lamp_tk: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1111,type,
    aTP_Lamp_tl: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1112,type,
    aTP_Lamp_tm: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1113,type,
    aTP_Lamp_tn: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1114,type,
    aTP_Lamp_to: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1115,type,
    aTP_Lamp_tp: 
      !>[X0: $tType,X1: $tType] : fun(X0,X1) ).

tff(func_def_1116,type,
    aTP_Lamp_tq: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1117,type,
    aTP_Lamp_tr: 
      !>[X0: $tType,X1: $tType] : fun(X0,X1) ).

tff(func_def_1118,type,
    aTP_Lamp_ts: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1119,type,
    aTP_Lamp_tt: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1120,type,
    aTP_Lamp_tu: 
      !>[X0: $tType,X1: $tType] : fun(X0,X1) ).

tff(func_def_1121,type,
    aTP_Lamp_tv: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1122,type,
    aTP_Lamp_tw: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1123,type,
    aTP_Lamp_tx: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1124,type,
    aTP_Lamp_ty: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1125,type,
    aTP_Lamp_tz: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1126,type,
    aTP_Lamp_ua: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1127,type,
    aTP_Lamp_ub: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1128,type,
    aTP_Lamp_uc: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1129,type,
    aTP_Lamp_ud: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1130,type,
    aTP_Lamp_ue: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1131,type,
    aTP_Lamp_uf: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1132,type,
    aTP_Lamp_ug: 
      !>[X0: $tType,X1: $tType] : fun(X0,X1) ).

tff(func_def_1133,type,
    aTP_Lamp_uh: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1134,type,
    aTP_Lamp_ui: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1135,type,
    aTP_Lamp_uj: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1136,type,
    aTP_Lamp_uk: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1137,type,
    aTP_Lamp_ul: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1138,type,
    aTP_Lamp_um: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1139,type,
    aTP_Lamp_un: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1140,type,
    aTP_Lamp_uo: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1141,type,
    aTP_Lamp_up: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1142,type,
    aTP_Lamp_uq: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1143,type,
    aTP_Lamp_ur: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1144,type,
    aTP_Lamp_us: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1145,type,
    aTP_Lamp_ut: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1146,type,
    aTP_Lamp_uu: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1147,type,
    aTP_Lamp_uv: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1148,type,
    aTP_Lamp_uw: 
      !>[X0: $tType,X1: $tType] : fun(X0,X1) ).

tff(func_def_1149,type,
    aTP_Lamp_ux: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1150,type,
    aTP_Lamp_uy: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1151,type,
    aTP_Lamp_uz: 
      !>[X0: $tType,X1: $tType] : fun(X0,X1) ).

tff(func_def_1152,type,
    aTP_Lamp_va: 
      !>[X0: $tType,X1: $tType] : fun(X0,X1) ).

tff(func_def_1153,type,
    aTP_Lamp_vb: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1154,type,
    aTP_Lamp_vc: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1155,type,
    aTP_Lamp_vd: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1156,type,
    aTP_Lamp_ve: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1157,type,
    aTP_Lamp_vf: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1158,type,
    aTP_Lamp_vg: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1159,type,
    aTP_Lamp_vh: 
      !>[X0: $tType,X1: $tType] : fun(X0,X1) ).

tff(func_def_1160,type,
    aTP_Lamp_vi: 
      !>[X0: $tType,X1: $tType] : fun(X0,X1) ).

tff(func_def_1161,type,
    aTP_Lamp_vj: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1162,type,
    aTP_Lamp_vk: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1163,type,
    aTP_Lamp_vl: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1164,type,
    aTP_Lamp_vm: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1165,type,
    aTP_Lamp_vn: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1166,type,
    aTP_Lamp_vo: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1167,type,
    aTP_Lamp_vp: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1168,type,
    aTP_Lamp_vq: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1169,type,
    aTP_Lamp_vr: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1170,type,
    aTP_Lamp_vs: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1171,type,
    aTP_Lamp_vt: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1172,type,
    aTP_Lamp_vu: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1173,type,
    aTP_Lamp_vv: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1174,type,
    aTP_Lamp_vw: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1175,type,
    aTP_Lamp_vx: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1176,type,
    aTP_Lamp_vy: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1177,type,
    aTP_Lamp_vz: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1178,type,
    aTP_Lamp_wa: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1179,type,
    aTP_Lamp_wb: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1180,type,
    aTP_Lamp_wc: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1181,type,
    aTP_Lamp_wd: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1182,type,
    aTP_Lamp_we: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1183,type,
    aTP_Lamp_wf: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1184,type,
    aTP_Lamp_wg: 
      !>[X0: $tType,X1: $tType] : fun(X0,X1) ).

tff(func_def_1185,type,
    aTP_Lamp_wh: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1186,type,
    aTP_Lamp_wi: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1187,type,
    aTP_Lamp_wj: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1188,type,
    aTP_Lamp_wk: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1189,type,
    aTP_Lamp_wl: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1190,type,
    aTP_Lamp_wm: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1191,type,
    aTP_Lamp_wn: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1192,type,
    aTP_Lamp_wo: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1193,type,
    aTP_Lamp_wp: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1194,type,
    aTP_Lamp_wq: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1195,type,
    aTP_Lamp_wr: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1196,type,
    aTP_Lamp_ws: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1197,type,
    aTP_Lamp_wt: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1198,type,
    aTP_Lamp_wu: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1199,type,
    aTP_Lamp_wv: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1200,type,
    aTP_Lamp_ww: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1201,type,
    aTP_Lamp_wx: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1202,type,
    aTP_Lamp_wy: 
      !>[X0: $tType,X1: $tType] : fun(X0,X1) ).

tff(func_def_1203,type,
    aTP_Lamp_wz: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1204,type,
    aTP_Lamp_xa: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1205,type,
    aTP_Lamp_xb: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1206,type,
    aTP_Lamp_xc: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1207,type,
    aTP_Lamp_xd: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1208,type,
    aTP_Lamp_xe: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1209,type,
    aTP_Lamp_xf: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1210,type,
    aTP_Lamp_xg: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1211,type,
    aTP_Lamp_xh: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1212,type,
    aTP_Lamp_xi: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1213,type,
    aTP_Lamp_xj: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1214,type,
    aTP_Lamp_xk: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1215,type,
    aTP_Lamp_xl: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1216,type,
    aTP_Lamp_xm: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1217,type,
    aTP_Lamp_xn: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1218,type,
    aTP_Lamp_xo: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1219,type,
    aTP_Lamp_xp: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1220,type,
    aTP_Lamp_xq: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1221,type,
    aTP_Lamp_xr: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1222,type,
    aTP_Lamp_xs: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1223,type,
    aTP_Lamp_xt: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1224,type,
    aTP_Lamp_xu: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1225,type,
    aTP_Lamp_xv: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1226,type,
    aTP_Lamp_xw: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1227,type,
    aTP_Lamp_xx: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1228,type,
    aTP_Lamp_xy: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1229,type,
    aTP_Lamp_xz: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1230,type,
    aTP_Lamp_ya: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1231,type,
    aTP_Lamp_yb: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1232,type,
    aTP_Lamp_yc: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1233,type,
    aTP_Lamp_yd: 
      !>[X0: $tType,X1: $tType] : fun(X0,X1) ).

tff(func_def_1234,type,
    aTP_Lamp_ye: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1235,type,
    aTP_Lamp_yf: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1236,type,
    aTP_Lamp_yg: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1237,type,
    aTP_Lamp_yh: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1238,type,
    aTP_Lamp_yi: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1239,type,
    aTP_Lamp_yj: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1240,type,
    aTP_Lamp_yk: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1241,type,
    aTP_Lamp_yl: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1242,type,
    aTP_Lamp_ym: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1243,type,
    aTP_Lamp_yn: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1244,type,
    aTP_Lamp_yo: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1245,type,
    aTP_Lamp_yp: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1246,type,
    aTP_Lamp_yq: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1247,type,
    aTP_Lamp_yr: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1248,type,
    aTP_Lamp_ys: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1249,type,
    aTP_Lamp_yt: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1250,type,
    aTP_Lamp_yu: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1251,type,
    aTP_Lamp_yv: 
      !>[X0: $tType,X1: $tType] : fun(X0,X1) ).

tff(func_def_1252,type,
    aTP_Lamp_yw: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1253,type,
    aTP_Lamp_yx: 
      !>[X0: $tType,X1: $tType] : fun(X0,X1) ).

tff(func_def_1254,type,
    aTP_Lamp_yy: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1255,type,
    aTP_Lamp_yz: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1256,type,
    aTP_Lamp_za: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1257,type,
    aTP_Lamp_zb: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1258,type,
    aTP_Lamp_zc: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1259,type,
    aTP_Lamp_zd: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1260,type,
    aTP_Lamp_ze: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1261,type,
    aTP_Lamp_zf: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1262,type,
    aTP_Lamp_zg: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1263,type,
    aTP_Lamp_zh: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1264,type,
    aTP_Lamp_zi: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1265,type,
    aTP_Lamp_zj: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1266,type,
    aTP_Lamp_zk: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1267,type,
    aTP_Lamp_zl: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1268,type,
    aTP_Lamp_zm: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1269,type,
    aTP_Lamp_zn: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1270,type,
    aTP_Lamp_zo: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1271,type,
    aTP_Lamp_zp: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1272,type,
    aTP_Lamp_zq: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1273,type,
    aTP_Lamp_zr: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1274,type,
    aTP_Lamp_zs: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1275,type,
    aTP_Lamp_zt: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1276,type,
    aTP_Lamp_zu: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1277,type,
    aTP_Lamp_zv: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1278,type,
    aTP_Lamp_zw: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1279,type,
    aTP_Lamp_zx: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1280,type,
    aTP_Lamp_zy: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1281,type,
    aTP_Lamp_zz: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1282,type,
    archimedean_ceiling: 
      !>[X0: $tType] : ( X0 > int ) ).

tff(func_def_1283,type,
    archim6421214686448440834_floor: 
      !>[X0: $tType] : ( X0 > int ) ).

tff(func_def_1284,type,
    archimedean_frac: 
      !>[X0: $tType] : ( X0 > X0 ) ).

tff(func_def_1285,type,
    archimedean_round: 
      !>[X0: $tType] : ( X0 > int ) ).

tff(func_def_1286,type,
    bNF_Greatest_Succ: 
      !>[X0: $tType] : ( ( set(list(X0)) * list(X0) ) > set(X0) ) ).

tff(func_def_1287,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_1288,type,
    basic_BNF_size_prod: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,nat) * fun(X1,nat) * product_prod(X0,X1) ) > nat ) ).

tff(func_def_1289,type,
    binomial: nat > fun(nat,nat) ).

tff(func_def_1290,type,
    gbinomial: 
      !>[X0: $tType] : ( X0 > fun(nat,X0) ) ).

tff(func_def_1291,type,
    bit_and_int_rel: fun(product_prod(int,int),fun(product_prod(int,int),$o)) ).

tff(func_def_1292,type,
    bit_and_not_num: ( num * num ) > option(num) ).

tff(func_def_1293,type,
    bit_concat_bit: ( nat * int ) > fun(int,int) ).

tff(func_def_1294,type,
    bit_or_not_num_neg: ( num * num ) > num ).

tff(func_def_1295,type,
    bit_ri4277139882892585799ns_not: 
      !>[X0: $tType] : fun(X0,X0) ).

tff(func_def_1296,type,
    bit_ri4674362597316999326ke_bit: 
      !>[X0: $tType] : ( nat > fun(X0,X0) ) ).

tff(func_def_1297,type,
    bit_se5824344872417868541ns_and: 
      !>[X0: $tType] : fun(X0,fun(X0,X0)) ).

tff(func_def_1298,type,
    bit_se4197421643247451524op_bit: 
      !>[X0: $tType] : ( ( nat * X0 ) > X0 ) ).

tff(func_def_1299,type,
    bit_se8732182000553998342ip_bit: 
      !>[X0: $tType] : ( ( nat * X0 ) > X0 ) ).

tff(func_def_1300,type,
    bit_se2239418461657761734s_mask: 
      !>[X0: $tType] : ( nat > X0 ) ).

tff(func_def_1301,type,
    bit_se1065995026697491101ons_or: 
      !>[X0: $tType] : fun(X0,fun(X0,X0)) ).

tff(func_def_1302,type,
    bit_se4730199178511100633sh_bit: 
      !>[X0: $tType] : ( ( nat * X0 ) > X0 ) ).

tff(func_def_1303,type,
    bit_se5668285175392031749et_bit: 
      !>[X0: $tType] : fun(nat,fun(X0,X0)) ).

tff(func_def_1304,type,
    bit_se2584673776208193580ke_bit: 
      !>[X0: $tType] : ( nat > fun(X0,X0) ) ).

tff(func_def_1305,type,
    bit_se2638667681897837118et_bit: 
      !>[X0: $tType] : fun(nat,fun(X0,X0)) ).

tff(func_def_1306,type,
    bit_se5824344971392196577ns_xor: 
      !>[X0: $tType] : fun(X0,fun(X0,X0)) ).

tff(func_def_1307,type,
    bit_se5641148757651400278ts_bit: 
      !>[X0: $tType] : ( X0 > fun(nat,$o) ) ).

tff(func_def_1308,type,
    bit_take_bit_num: ( nat * num ) > option(num) ).

tff(func_def_1309,type,
    bit_un1837492267222099188nd_num: fun(num,fun(num,option(num))) ).

tff(func_def_1310,type,
    bit_un6178654185764691216or_num: fun(num,fun(num,option(num))) ).

tff(func_def_1311,type,
    bit_un7362597486090784418nd_num: fun(num,fun(num,option(num))) ).

tff(func_def_1312,type,
    bit_un2480387367778600638or_num: fun(num,fun(num,option(num))) ).

tff(func_def_1313,type,
    code_bit_cut_integer: code_integer > product_prod(code_integer,$o) ).

tff(func_def_1314,type,
    code_divmod_abs: ( code_integer * code_integer ) > product_prod(code_integer,code_integer) ).

tff(func_def_1315,type,
    code_divmod_integer: ( code_integer * code_integer ) > product_prod(code_integer,code_integer) ).

tff(func_def_1316,type,
    code_int_of_integer: code_integer > int ).

tff(func_def_1317,type,
    code_integer_of_int: int > code_integer ).

tff(func_def_1318,type,
    code_integer_of_num: num > code_integer ).

tff(func_def_1319,type,
    code_nat_of_integer: code_integer > nat ).

tff(func_def_1320,type,
    code_num_of_integer: code_integer > num ).

tff(func_def_1321,type,
    complete_Inf_Inf: 
      !>[X0: $tType] : fun(set(X0),X0) ).

tff(func_def_1322,type,
    complete_Sup_Sup: 
      !>[X0: $tType] : fun(set(X0),X0) ).

tff(func_def_1323,type,
    arg: complex > real ).

tff(func_def_1324,type,
    cis: real > complex ).

tff(func_def_1325,type,
    cnj: complex > complex ).

tff(func_def_1326,type,
    complex2: ( real * real ) > complex ).

tff(func_def_1327,type,
    im: complex > real ).

tff(func_def_1328,type,
    re: complex > real ).

tff(func_def_1329,type,
    csqrt: complex > complex ).

tff(func_def_1330,type,
    imaginary_unit: complex ).

tff(func_def_1331,type,
    countable_to_nat_on: 
      !>[X0: $tType] : ( set(X0) > fun(X0,nat) ) ).

tff(func_def_1332,type,
    adjust_div: product_prod(int,int) > int ).

tff(func_def_1333,type,
    adjust_mod: ( int * int ) > int ).

tff(func_def_1334,type,
    divmod_nat: ( nat * nat ) > product_prod(nat,nat) ).

tff(func_def_1335,type,
    unique8689654367752047608divmod: 
      !>[X0: $tType] : ( ( num * num ) > product_prod(X0,X0) ) ).

tff(func_def_1336,type,
    unique1321980374590559556d_step: 
      !>[X0: $tType] : ( ( num * product_prod(X0,X0) ) > product_prod(X0,X0) ) ).

tff(func_def_1337,type,
    comm_s3205402744901411588hammer: 
      !>[X0: $tType] : ( ( X0 * nat ) > X0 ) ).

tff(func_def_1338,type,
    semiring_char_0_fact: 
      !>[X0: $tType] : ( nat > X0 ) ).

tff(func_def_1339,type,
    inverse_inverse: 
      !>[X0: $tType] : fun(X0,X0) ).

tff(func_def_1340,type,
    at_bot: 
      !>[X0: $tType] : filter(X0) ).

tff(func_def_1341,type,
    at_top: 
      !>[X0: $tType] : filter(X0) ).

tff(func_def_1342,type,
    filtercomap: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * filter(X1) ) > filter(X0) ) ).

tff(func_def_1343,type,
    filtermap: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * filter(X0) ) > filter(X1) ) ).

tff(func_def_1344,type,
    map_filter_on: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,X1) * filter(X0) ) > filter(X1) ) ).

tff(func_def_1345,type,
    principal: 
      !>[X0: $tType] : fun(set(X0),filter(X0)) ).

tff(func_def_1346,type,
    prod_filter: 
      !>[X0: $tType,X1: $tType] : ( ( filter(X0) * filter(X1) ) > filter(product_prod(X0,X1)) ) ).

tff(func_def_1347,type,
    finite_Fpow: 
      !>[X0: $tType] : ( set(X0) > set(set(X0)) ) ).

tff(func_def_1348,type,
    finite_card: 
      !>[X0: $tType] : fun(set(X0),nat) ).

tff(func_def_1349,type,
    finite_finite2: 
      !>[X0: $tType] : fun(set(X0),$o) ).

tff(func_def_1350,type,
    comp: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( fun(X0,X1) > fun(fun(X2,X0),fun(X2,X1)) ) ).

tff(func_def_1351,type,
    the_inv_into: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,X1) * X1 ) > X0 ) ).

tff(func_def_1352,type,
    gcd_Gcd: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_1353,type,
    bezw: ( nat * nat ) > product_prod(int,int) ).

tff(func_def_1354,type,
    bezw_rel: fun(product_prod(nat,nat),fun(product_prod(nat,nat),$o)) ).

tff(func_def_1355,type,
    gcd_gcd: 
      !>[X0: $tType] : fun(X0,fun(X0,X0)) ).

tff(func_def_1356,type,
    gcd_nat_rel: fun(product_prod(nat,nat),fun(product_prod(nat,nat),$o)) ).

tff(func_def_1357,type,
    semiri4206861660011772517g_char: 
      !>[X0: $tType] : ( itself(X0) > nat ) ).

tff(func_def_1358,type,
    abs_abs: 
      !>[X0: $tType] : fun(X0,X0) ).

tff(func_def_1359,type,
    minus_minus: 
      !>[X0: $tType] : fun(X0,fun(X0,X0)) ).

tff(func_def_1360,type,
    one_one: 
      !>[X0: $tType] : X0 ).

tff(func_def_1361,type,
    plus_plus: 
      !>[X0: $tType] : fun(X0,fun(X0,X0)) ).

tff(func_def_1362,type,
    sgn_sgn: 
      !>[X0: $tType] : fun(X0,X0) ).

tff(func_def_1363,type,
    times_times: 
      !>[X0: $tType] : fun(X0,fun(X0,X0)) ).

tff(func_def_1364,type,
    uminus_uminus: 
      !>[X0: $tType] : fun(X0,X0) ).

tff(func_def_1365,type,
    zero_zero: 
      !>[X0: $tType] : X0 ).

tff(func_def_1366,type,
    groups7311177749621191930dd_sum: 
      !>[X0: $tType,X1: $tType] : ( fun(X0,X1) > fun(set(X0),X1) ) ).

tff(func_def_1367,type,
    groups1027152243600224163dd_sum: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * set(X0) ) > X1 ) ).

tff(func_def_1368,type,
    groups7121269368397514597t_prod: 
      !>[X0: $tType,X1: $tType] : fun(fun(X0,X1),fun(set(X0),X1)) ).

tff(func_def_1369,type,
    groups4207007520872428315er_sum: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * X1 * list(X0) ) > X1 ) ).

tff(func_def_1370,type,
    the: 
      !>[X0: $tType] : ( fun(X0,$o) > X0 ) ).

tff(func_def_1371,type,
    abs_Integ: product_prod(nat,nat) > int ).

tff(func_def_1372,type,
    rep_Integ: int > product_prod(nat,nat) ).

tff(func_def_1373,type,
    int_ge_less_than: int > set(product_prod(int,int)) ).

tff(func_def_1374,type,
    int_ge_less_than2: int > set(product_prod(int,int)) ).

tff(func_def_1375,type,
    nat2: fun(int,nat) ).

tff(func_def_1376,type,
    ring_1_Ints: 
      !>[X0: $tType] : set(X0) ).

tff(func_def_1377,type,
    ring_1_of_int: 
      !>[X0: $tType] : ( int > X0 ) ).

tff(func_def_1378,type,
    inf_inf: 
      !>[X0: $tType] : fun(X0,fun(X0,X0)) ).

tff(func_def_1379,type,
    sup_sup: 
      !>[X0: $tType] : ( ( X0 * X0 ) > X0 ) ).

tff(func_def_1380,type,
    lattices_Min: 
      !>[X0: $tType] : ( fun(X0,fun(X0,$o)) > fun(set(X0),X0) ) ).

tff(func_def_1381,type,
    lattic643756798349783984er_Max: 
      !>[X0: $tType] : fun(set(X0),X0) ).

tff(func_def_1382,type,
    lattic7623131987881927897min_on: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * set(X0) ) > X0 ) ).

tff(func_def_1383,type,
    at_infinity: 
      !>[X0: $tType] : filter(X0) ).

tff(func_def_1384,type,
    append: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) ) > list(X0) ) ).

tff(func_def_1385,type,
    concat: 
      !>[X0: $tType] : ( list(list(X0)) > list(X0) ) ).

tff(func_def_1386,type,
    count_list: 
      !>[X0: $tType] : ( list(X0) > fun(X0,nat) ) ).

tff(func_def_1387,type,
    drop: 
      !>[X0: $tType] : ( ( nat * list(X0) ) > list(X0) ) ).

tff(func_def_1388,type,
    enumerate: 
      !>[X0: $tType] : ( ( nat * list(X0) ) > list(product_prod(nat,X0)) ) ).

tff(func_def_1389,type,
    extract: 
      !>[X0: $tType] : ( ( fun(X0,$o) * list(X0) ) > option(product_prod(list(X0),product_prod(X0,list(X0)))) ) ).

tff(func_def_1390,type,
    lenlex: 
      !>[X0: $tType] : ( set(product_prod(X0,X0)) > set(product_prod(list(X0),list(X0))) ) ).

tff(func_def_1391,type,
    lex: 
      !>[X0: $tType] : ( set(product_prod(X0,X0)) > set(product_prod(list(X0),list(X0))) ) ).

tff(func_def_1392,type,
    lexn: 
      !>[X0: $tType] : ( set(product_prod(X0,X0)) > fun(nat,set(product_prod(list(X0),list(X0)))) ) ).

tff(func_def_1393,type,
    lexord: 
      !>[X0: $tType] : ( set(product_prod(X0,X0)) > set(product_prod(list(X0),list(X0))) ) ).

tff(func_def_1394,type,
    cons: 
      !>[X0: $tType] : ( X0 > fun(list(X0),list(X0)) ) ).

tff(func_def_1395,type,
    nil: 
      !>[X0: $tType] : list(X0) ).

tff(func_def_1396,type,
    hd: 
      !>[X0: $tType] : ( list(X0) > X0 ) ).

tff(func_def_1397,type,
    set2: 
      !>[X0: $tType] : fun(list(X0),set(X0)) ).

tff(func_def_1398,type,
    size_list: 
      !>[X0: $tType] : ( ( fun(X0,nat) * list(X0) ) > nat ) ).

tff(func_def_1399,type,
    list_update: 
      !>[X0: $tType] : ( ( list(X0) * nat * X0 ) > list(X0) ) ).

tff(func_def_1400,type,
    listrel1: 
      !>[X0: $tType] : ( set(product_prod(X0,X0)) > set(product_prod(list(X0),list(X0))) ) ).

tff(func_def_1401,type,
    listset: 
      !>[X0: $tType] : ( list(set(X0)) > set(list(X0)) ) ).

tff(func_def_1402,type,
    n_lists: 
      !>[X0: $tType] : ( ( nat * list(X0) ) > list(list(X0)) ) ).

tff(func_def_1403,type,
    nth: 
      !>[X0: $tType] : ( list(X0) > fun(nat,X0) ) ).

tff(func_def_1404,type,
    product: 
      !>[X0: $tType,X1: $tType] : ( ( list(X0) * list(X1) ) > list(product_prod(X0,X1)) ) ).

tff(func_def_1405,type,
    product_lists: 
      !>[X0: $tType] : ( list(list(X0)) > list(list(X0)) ) ).

tff(func_def_1406,type,
    remdups: 
      !>[X0: $tType] : ( list(X0) > list(X0) ) ).

tff(func_def_1407,type,
    remdups_adj: 
      !>[X0: $tType] : ( list(X0) > list(X0) ) ).

tff(func_def_1408,type,
    remove1: 
      !>[X0: $tType] : ( ( X0 * list(X0) ) > list(X0) ) ).

tff(func_def_1409,type,
    removeAll: 
      !>[X0: $tType] : ( ( X0 * list(X0) ) > list(X0) ) ).

tff(func_def_1410,type,
    replicate: 
      !>[X0: $tType] : ( ( nat * X0 ) > list(X0) ) ).

tff(func_def_1411,type,
    rotate1: 
      !>[X0: $tType] : ( list(X0) > list(X0) ) ).

tff(func_def_1412,type,
    set_Cons: 
      !>[X0: $tType] : ( ( set(X0) * set(list(X0)) ) > set(list(X0)) ) ).

tff(func_def_1413,type,
    shuffles: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) ) > set(list(X0)) ) ).

tff(func_def_1414,type,
    subseqs: 
      !>[X0: $tType] : ( list(X0) > list(list(X0)) ) ).

tff(func_def_1415,type,
    take: 
      !>[X0: $tType] : ( ( nat * list(X0) ) > list(X0) ) ).

tff(func_def_1416,type,
    union: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) ) > list(X0) ) ).

tff(func_def_1417,type,
    upto: ( int * int ) > list(int) ).

tff(func_def_1418,type,
    upto_aux: ( int * int * list(int) ) > list(int) ).

tff(func_def_1419,type,
    upto_rel: fun(product_prod(int,int),fun(product_prod(int,int),$o)) ).

tff(func_def_1420,type,
    suc: fun(nat,nat) ).

tff(func_def_1421,type,
    compow: 
      !>[X0: $tType] : fun(nat,fun(X0,X0)) ).

tff(func_def_1422,type,
    funpow: 
      !>[X0: $tType] : fun(nat,fun(fun(X0,X0),fun(X0,X0))) ).

tff(func_def_1423,type,
    case_nat: 
      !>[X0: $tType] : ( ( X0 * fun(nat,X0) * nat ) > X0 ) ).

tff(func_def_1424,type,
    pred: nat > nat ).

tff(func_def_1425,type,
    rec_nat: 
      !>[X0: $tType] : ( ( X0 * fun(nat,fun(X0,X0)) ) > fun(nat,X0) ) ).

tff(func_def_1426,type,
    rec_set_nat: 
      !>[X0: $tType] : ( ( X0 * fun(nat,fun(X0,X0)) * nat ) > fun(X0,$o) ) ).

tff(func_def_1427,type,
    semiring_1_of_nat: 
      !>[X0: $tType] : fun(nat,X0) ).

tff(func_def_1428,type,
    semiri8178284476397505188at_aux: 
      !>[X0: $tType] : ( ( fun(X0,X0) * nat * X0 ) > X0 ) ).

tff(func_def_1429,type,
    size_size: 
      !>[X0: $tType] : fun(X0,nat) ).

tff(func_def_1430,type,
    nat_prod_decode_aux: ( nat * nat ) > product_prod(nat,nat) ).

tff(func_def_1431,type,
    nat_pr5047031295181774490ux_rel: fun(product_prod(nat,nat),fun(product_prod(nat,nat),$o)) ).

tff(func_def_1432,type,
    nat_prod_encode: fun(product_prod(nat,nat),nat) ).

tff(func_def_1433,type,
    nat_set_decode: nat > set(nat) ).

tff(func_def_1434,type,
    nat_set_encode: fun(set(nat),nat) ).

tff(func_def_1435,type,
    nat_triangle: nat > nat ).

tff(func_def_1436,type,
    root: nat > fun(real,real) ).

tff(func_def_1437,type,
    sqrt: fun(real,real) ).

tff(func_def_1438,type,
    bitM: num > num ).

tff(func_def_1439,type,
    inc: num > num ).

tff(func_def_1440,type,
    neg_numeral_dbl: 
      !>[X0: $tType] : ( X0 > X0 ) ).

tff(func_def_1441,type,
    neg_numeral_dbl_dec: 
      !>[X0: $tType] : ( X0 > X0 ) ).

tff(func_def_1442,type,
    neg_numeral_dbl_inc: 
      !>[X0: $tType] : ( X0 > X0 ) ).

tff(func_def_1443,type,
    neg_numeral_sub: 
      !>[X0: $tType] : ( ( num * num ) > X0 ) ).

tff(func_def_1444,type,
    bit0: fun(num,num) ).

tff(func_def_1445,type,
    bit1: fun(num,num) ).

tff(func_def_1446,type,
    one2: num ).

tff(func_def_1447,type,
    case_num: 
      !>[X0: $tType] : ( ( X0 * fun(num,X0) * fun(num,X0) * num ) > X0 ) ).

tff(func_def_1448,type,
    size_num: num > nat ).

tff(func_def_1449,type,
    num_of_nat: nat > num ).

tff(func_def_1450,type,
    numeral_numeral: 
      !>[X0: $tType] : fun(num,X0) ).

tff(func_def_1451,type,
    pow: ( num * num ) > num ).

tff(func_def_1452,type,
    pred_numeral: num > nat ).

tff(func_def_1453,type,
    none: 
      !>[X0: $tType] : option(X0) ).

tff(func_def_1454,type,
    some: 
      !>[X0: $tType] : fun(X0,option(X0)) ).

tff(func_def_1455,type,
    case_option: 
      !>[X0: $tType,X1: $tType] : ( ( X0 * fun(X1,X0) * option(X1) ) > X0 ) ).

tff(func_def_1456,type,
    map_option: 
      !>[X0: $tType,X1: $tType] : ( fun(X0,X1) > fun(option(X0),option(X1)) ) ).

tff(func_def_1457,type,
    rec_option: 
      !>[X0: $tType,X1: $tType] : ( ( X0 * fun(X1,X0) ) > fun(option(X1),X0) ) ).

tff(func_def_1458,type,
    size_option: 
      !>[X0: $tType] : ( fun(X0,nat) > fun(option(X0),nat) ) ).

tff(func_def_1459,type,
    the2: 
      !>[X0: $tType] : fun(option(X0),X0) ).

tff(func_def_1460,type,
    these: 
      !>[X0: $tType] : ( set(option(X0)) > set(X0) ) ).

tff(func_def_1461,type,
    order_532582986084564980_cclfp: 
      !>[X0: $tType] : ( fun(X0,X0) > X0 ) ).

tff(func_def_1462,type,
    bot_bot: 
      !>[X0: $tType] : X0 ).

tff(func_def_1463,type,
    least: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,$o)) * fun(X0,$o) ) > X0 ) ).

tff(func_def_1464,type,
    ord_less: 
      !>[X0: $tType] : fun(X0,fun(X0,$o)) ).

tff(func_def_1465,type,
    ord_less_eq: 
      !>[X0: $tType] : fun(X0,fun(X0,$o)) ).

tff(func_def_1466,type,
    ord_max: 
      !>[X0: $tType] : fun(X0,fun(X0,X0)) ).

tff(func_def_1467,type,
    order_Greatest: 
      !>[X0: $tType] : ( fun(X0,$o) > X0 ) ).

tff(func_def_1468,type,
    top_top: 
      !>[X0: $tType] : X0 ).

tff(func_def_1469,type,
    power_power: 
      !>[X0: $tType] : fun(X0,fun(nat,X0)) ).

tff(func_def_1470,type,
    product_Pair: 
      !>[X0: $tType,X1: $tType] : fun(X0,fun(X1,product_prod(X0,X1))) ).

tff(func_def_1471,type,
    product_apfst: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( fun(X0,X1) * product_prod(X0,X2) ) > product_prod(X1,X2) ) ).

tff(func_def_1472,type,
    product_apsnd: 
      !>[X0: $tType,X1: $tType,X2: $tType] : fun(fun(X0,X1),fun(product_prod(X2,X0),product_prod(X2,X1))) ).

tff(func_def_1473,type,
    product_rec_prod: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( fun(X0,fun(X1,X2)) * product_prod(X0,X1) ) > X2 ) ).

tff(func_def_1474,type,
    product_rec_set_prod: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( fun(X0,fun(X1,X2)) * product_prod(X0,X1) ) > fun(X2,$o) ) ).

tff(func_def_1475,type,
    product_case_prod: 
      !>[X0: $tType,X1: $tType,X2: $tType] : fun(fun(X0,fun(X1,X2)),fun(product_prod(X0,X1),X2)) ).

tff(func_def_1476,type,
    product_fst: 
      !>[X0: $tType,X1: $tType] : fun(product_prod(X0,X1),X0) ).

tff(func_def_1477,type,
    product_snd: 
      !>[X0: $tType,X1: $tType] : fun(product_prod(X0,X1),X1) ).

tff(func_def_1478,type,
    frct: product_prod(int,int) > rat ).

tff(func_def_1479,type,
    normalize: product_prod(int,int) > product_prod(int,int) ).

tff(func_def_1480,type,
    of_int: int > rat ).

tff(func_def_1481,type,
    quotient_of: rat > product_prod(int,int) ).

tff(func_def_1482,type,
    real_Vector_Reals: 
      !>[X0: $tType] : set(X0) ).

tff(func_def_1483,type,
    real_V557655796197034286t_dist: 
      !>[X0: $tType] : ( ( X0 * X0 ) > real ) ).

tff(func_def_1484,type,
    real_V7770717601297561774m_norm: 
      !>[X0: $tType] : ( X0 > real ) ).

tff(func_def_1485,type,
    real_Vector_of_real: 
      !>[X0: $tType] : fun(real,X0) ).

tff(func_def_1486,type,
    real_V8093663219630862766scaleR: 
      !>[X0: $tType] : ( real > fun(X0,X0) ) ).

tff(func_def_1487,type,
    divide_divide: 
      !>[X0: $tType] : fun(X0,fun(X0,X0)) ).

tff(func_def_1488,type,
    dvd_dvd: 
      !>[X0: $tType] : fun(X0,fun(X0,$o)) ).

tff(func_def_1489,type,
    modulo_modulo: 
      !>[X0: $tType] : ( ( X0 * X0 ) > X0 ) ).

tff(func_def_1490,type,
    zero_neq_one_of_bool: 
      !>[X0: $tType] : fun($o,X0) ).

tff(func_def_1491,type,
    suminf: 
      !>[X0: $tType] : ( fun(nat,X0) > X0 ) ).

tff(func_def_1492,type,
    sums: 
      !>[X0: $tType] : ( fun(nat,X0) > fun(X0,$o) ) ).

tff(func_def_1493,type,
    ball: 
      !>[X0: $tType] : fun(set(X0),fun(fun(X0,$o),$o)) ).

tff(func_def_1494,type,
    collect: 
      !>[X0: $tType] : fun(fun(X0,$o),set(X0)) ).

tff(func_def_1495,type,
    pow2: 
      !>[X0: $tType] : ( set(X0) > set(set(X0)) ) ).

tff(func_def_1496,type,
    image: 
      !>[X0: $tType,X1: $tType] : ( fun(X0,X1) > fun(set(X0),set(X1)) ) ).

tff(func_def_1497,type,
    insert: 
      !>[X0: $tType] : ( X0 > fun(set(X0),set(X0)) ) ).

tff(func_def_1498,type,
    the_elem: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_1499,type,
    set_fo6178422350223883121st_nat: 
      !>[X0: $tType] : ( ( fun(nat,fun(X0,X0)) * nat * nat * X0 ) > X0 ) ).

tff(func_def_1500,type,
    set_ord_atLeast: 
      !>[X0: $tType] : fun(X0,set(X0)) ).

tff(func_def_1501,type,
    set_or1337092689740270186AtMost: 
      !>[X0: $tType] : ( ( X0 * X0 ) > set(X0) ) ).

tff(func_def_1502,type,
    set_or7035219750837199246ssThan: 
      !>[X0: $tType] : ( ( X0 * X0 ) > set(X0) ) ).

tff(func_def_1503,type,
    set_ord_atMost: 
      !>[X0: $tType] : fun(X0,set(X0)) ).

tff(func_def_1504,type,
    set_ord_greaterThan: 
      !>[X0: $tType] : fun(X0,set(X0)) ).

tff(func_def_1505,type,
    set_or3652927894154168847AtMost: 
      !>[X0: $tType] : ( ( X0 * X0 ) > set(X0) ) ).

tff(func_def_1506,type,
    set_or5935395276787703475ssThan: 
      !>[X0: $tType] : ( ( X0 * X0 ) > set(X0) ) ).

tff(func_def_1507,type,
    set_ord_lessThan: 
      !>[X0: $tType] : fun(X0,set(X0)) ).

tff(func_def_1508,type,
    ascii_of: char > char ).

tff(func_def_1509,type,
    char2: ( $o * $o * $o * $o * $o * $o * $o ) > fun($o,char) ).

tff(func_def_1510,type,
    char_of_integer: code_integer > char ).

tff(func_def_1511,type,
    comm_s6883823935334413003f_char: 
      !>[X0: $tType] : fun(char,X0) ).

tff(func_def_1512,type,
    integer_of_char: char > code_integer ).

tff(func_def_1513,type,
    unique5772411509450598832har_of: 
      !>[X0: $tType] : fun(X0,char) ).

tff(func_def_1514,type,
    topolo8378437560675496660pology: 
      !>[X0: $tType] : ( set(set(X0)) > fun(set(X0),$o) ) ).

tff(func_def_1515,type,
    topolo1002775350975398744n_open: 
      !>[X0: $tType] : fun(set(X0),$o) ).

tff(func_def_1516,type,
    topolo3827282254853284352ce_Lim: 
      !>[X0: $tType,X1: $tType] : ( ( filter(X0) * fun(X0,X1) ) > X1 ) ).

tff(func_def_1517,type,
    topolo174197925503356063within: 
      !>[X0: $tType] : ( ( X0 * set(X0) ) > filter(X0) ) ).

tff(func_def_1518,type,
    topolo7230453075368039082e_nhds: 
      !>[X0: $tType] : ( X0 > filter(X0) ) ).

tff(func_def_1519,type,
    topolo7806501430040627800ormity: 
      !>[X0: $tType] : filter(product_prod(X0,X0)) ).

tff(func_def_1520,type,
    arccos: fun(real,real) ).

tff(func_def_1521,type,
    arcosh: 
      !>[X0: $tType] : fun(X0,X0) ).

tff(func_def_1522,type,
    arcsin: fun(real,real) ).

tff(func_def_1523,type,
    arctan: fun(real,real) ).

tff(func_def_1524,type,
    arsinh: 
      !>[X0: $tType] : fun(X0,X0) ).

tff(func_def_1525,type,
    artanh: 
      !>[X0: $tType] : fun(X0,X0) ).

tff(func_def_1526,type,
    cos: 
      !>[X0: $tType] : ( X0 > X0 ) ).

tff(func_def_1527,type,
    cos_coeff: nat > real ).

tff(func_def_1528,type,
    cosh: 
      !>[X0: $tType] : ( X0 > X0 ) ).

tff(func_def_1529,type,
    cot: 
      !>[X0: $tType] : fun(X0,X0) ).

tff(func_def_1530,type,
    diffs: 
      !>[X0: $tType] : ( fun(nat,X0) > fun(nat,X0) ) ).

tff(func_def_1531,type,
    exp: 
      !>[X0: $tType] : fun(X0,X0) ).

tff(func_def_1532,type,
    ln_ln: 
      !>[X0: $tType] : fun(X0,X0) ).

tff(func_def_1533,type,
    log: real > fun(real,real) ).

tff(func_def_1534,type,
    pi: real ).

tff(func_def_1535,type,
    powr: 
      !>[X0: $tType] : ( ( X0 * X0 ) > X0 ) ).

tff(func_def_1536,type,
    sin: 
      !>[X0: $tType] : ( X0 > X0 ) ).

tff(func_def_1537,type,
    sin_coeff: nat > real ).

tff(func_def_1538,type,
    sinh: 
      !>[X0: $tType] : ( X0 > X0 ) ).

tff(func_def_1539,type,
    tan: 
      !>[X0: $tType] : fun(X0,X0) ).

tff(func_def_1540,type,
    tanh: 
      !>[X0: $tType] : fun(X0,X0) ).

tff(func_def_1541,type,
    transitive_ntrancl: 
      !>[X0: $tType] : ( ( nat * set(product_prod(X0,X0)) ) > set(product_prod(X0,X0)) ) ).

tff(func_def_1542,type,
    transitive_rtrancl: 
      !>[X0: $tType] : ( set(product_prod(X0,X0)) > set(product_prod(X0,X0)) ) ).

tff(func_def_1543,type,
    transitive_trancl: 
      !>[X0: $tType] : ( set(product_prod(X0,X0)) > set(product_prod(X0,X0)) ) ).

tff(func_def_1544,type,
    vEBT_Leaf: ( $o * $o ) > vEBT_VEBT ).

tff(func_def_1545,type,
    vEBT_Node: ( option(product_prod(nat,nat)) * nat * list(vEBT_VEBT) * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_1546,type,
    vEBT_size_VEBT: fun(vEBT_VEBT,nat) ).

tff(func_def_1547,type,
    vEBT_V8194947554948674370ptions: vEBT_VEBT > fun(nat,$o) ).

tff(func_def_1548,type,
    vEBT_VEBT_high: ( nat * nat ) > nat ).

tff(func_def_1549,type,
    vEBT_VEBT_low: ( nat * nat ) > nat ).

tff(func_def_1550,type,
    vEBT_V4351362008482014158ma_rel: fun(product_prod(vEBT_VEBT,nat),fun(product_prod(vEBT_VEBT,nat),$o)) ).

tff(func_def_1551,type,
    vEBT_V5765760719290551771er_rel: fun(product_prod(vEBT_VEBT,nat),fun(product_prod(vEBT_VEBT,nat),$o)) ).

tff(func_def_1552,type,
    vEBT_VEBT_valid_rel: fun(product_prod(vEBT_VEBT,nat),fun(product_prod(vEBT_VEBT,nat),$o)) ).

tff(func_def_1553,type,
    vEBT_set_vebt: vEBT_VEBT > set(nat) ).

tff(func_def_1554,type,
    vEBT_vebt_buildup: nat > vEBT_VEBT ).

tff(func_def_1555,type,
    vEBT_v4011308405150292612up_rel: fun(nat,fun(nat,$o)) ).

tff(func_def_1556,type,
    vEBT_vebt_delete: ( vEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_1557,type,
    vEBT_vebt_delete_rel: fun(product_prod(vEBT_VEBT,nat),fun(product_prod(vEBT_VEBT,nat),$o)) ).

tff(func_def_1558,type,
    vEBT_vebt_insert: ( vEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_1559,type,
    vEBT_vebt_insert_rel: fun(product_prod(vEBT_VEBT,nat),fun(product_prod(vEBT_VEBT,nat),$o)) ).

tff(func_def_1560,type,
    vEBT_VEBT_bit_concat: ( nat * nat * nat ) > nat ).

tff(func_def_1561,type,
    vEBT_V6963167321098673237ll_rel: fun(vEBT_VEBT,fun(vEBT_VEBT,$o)) ).

tff(func_def_1562,type,
    vEBT_VEBT_set_vebt: vEBT_VEBT > set(nat) ).

tff(func_def_1563,type,
    vEBT_vebt_member: vEBT_VEBT > fun(nat,$o) ).

tff(func_def_1564,type,
    vEBT_vebt_member_rel: fun(product_prod(vEBT_VEBT,nat),fun(product_prod(vEBT_VEBT,nat),$o)) ).

tff(func_def_1565,type,
    vEBT_VEBT_add: fun(option(nat),fun(option(nat),option(nat))) ).

tff(func_def_1566,type,
    vEBT_VEBT_mul: fun(option(nat),fun(option(nat),option(nat))) ).

tff(func_def_1567,type,
    vEBT_V2048590022279873568_shift: 
      !>[X0: $tType] : ( fun(X0,fun(X0,X0)) > fun(option(X0),fun(option(X0),option(X0))) ) ).

tff(func_def_1568,type,
    vEBT_VEBT_power: fun(option(nat),fun(option(nat),option(nat))) ).

tff(func_def_1569,type,
    vEBT_vebt_maxt: vEBT_VEBT > option(nat) ).

tff(func_def_1570,type,
    vEBT_vebt_maxt_rel: fun(vEBT_VEBT,fun(vEBT_VEBT,$o)) ).

tff(func_def_1571,type,
    vEBT_vebt_mint: vEBT_VEBT > option(nat) ).

tff(func_def_1572,type,
    vEBT_vebt_mint_rel: fun(vEBT_VEBT,fun(vEBT_VEBT,$o)) ).

tff(func_def_1573,type,
    vEBT_vebt_pred: ( vEBT_VEBT * nat ) > option(nat) ).

tff(func_def_1574,type,
    vEBT_vebt_pred_rel: fun(product_prod(vEBT_VEBT,nat),fun(product_prod(vEBT_VEBT,nat),$o)) ).

tff(func_def_1575,type,
    vEBT_vebt_succ: ( vEBT_VEBT * nat ) > option(nat) ).

tff(func_def_1576,type,
    vEBT_vebt_succ_rel: fun(product_prod(vEBT_VEBT,nat),fun(product_prod(vEBT_VEBT,nat),$o)) ).

tff(func_def_1577,type,
    finite_psubset: 
      !>[X0: $tType] : set(product_prod(set(X0),set(X0))) ).

tff(func_def_1578,type,
    lex_prod: 
      !>[X0: $tType,X1: $tType] : ( ( set(product_prod(X0,X0)) * set(product_prod(X1,X1)) ) > set(product_prod(product_prod(X0,X1),product_prod(X0,X1))) ) ).

tff(func_def_1579,type,
    measure: 
      !>[X0: $tType] : ( fun(X0,nat) > set(product_prod(X0,X0)) ) ).

tff(func_def_1580,type,
    mlex_prod: 
      !>[X0: $tType] : ( ( fun(X0,nat) * set(product_prod(X0,X0)) ) > set(product_prod(X0,X0)) ) ).

tff(func_def_1581,type,
    same_fst: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,$o) * fun(X0,set(product_prod(X1,X1))) ) > set(product_prod(product_prod(X0,X1),product_prod(X0,X1))) ) ).

tff(func_def_1582,type,
    aa: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * X0 ) > X1 ) ).

tff(func_def_1583,type,
    fChoice: 
      !>[X0: $tType] : ( fun(X0,$o) > X0 ) ).

tff(func_def_1584,type,
    fequal: 
      !>[X0: $tType] : fun(X0,fun(X0,$o)) ).

tff(func_def_1585,type,
    member: 
      !>[X0: $tType] : ( X0 > fun(set(X0),$o) ) ).

tff(func_def_1586,type,
    deg: nat ).

tff(func_def_1587,type,
    lx: nat ).

tff(func_def_1588,type,
    m: nat ).

tff(func_def_1589,type,
    ma: nat ).

tff(func_def_1590,type,
    maxi: nat ).

tff(func_def_1591,type,
    maxs: nat ).

tff(func_def_1592,type,
    mi: nat ).

tff(func_def_1593,type,
    na: nat ).

tff(func_def_1594,type,
    summary: vEBT_VEBT ).

tff(func_def_1595,type,
    summin: nat ).

tff(func_def_1596,type,
    treeList: list(vEBT_VEBT) ).

tff(func_def_1597,type,
    xa: nat ).

tff(func_def_1598,type,
    ya: nat ).

tff(func_def_1599,type,
    maxs20: option(nat) ).

tff(func_def_1600,type,
    maxs21: option(nat) ).

tff(func_def_1601,type,
    maxs22: option(nat) ).

tff(func_def_1602,type,
    newnode3: vEBT_VEBT ).

tff(func_def_1603,type,
    newlist4: list(vEBT_VEBT) ).

tff(func_def_1604,type,
    sn5: vEBT_VEBT ).

tff(func_def_1605,type,
    maxs26: option(nat) ).

tff(func_def_1606,type,
    maxs27: option(nat) ).

tff(func_def_1607,type,
    sn8: vEBT_VEBT ).

tff(func_def_1608,type,
    maxs29: option(nat) ).

tff(func_def_1609,type,
    xn10: nat ).

tff(func_def_1610,type,
    h11: nat ).

tff(func_def_1611,type,
    newnode12: vEBT_VEBT ).

tff(func_def_1612,type,
    newlist13: list(vEBT_VEBT) ).

tff(func_def_1613,type,
    sn14: vEBT_VEBT ).

tff(func_def_1614,type,
    maxs215: option(nat) ).

tff(func_def_1615,type,
    maxs216: option(nat) ).

tff(func_def_1616,type,
    sn17: vEBT_VEBT ).

tff(func_def_1617,type,
    maxs218: option(nat) ).

tff(func_def_1618,type,
    newnode19: vEBT_VEBT ).

tff(func_def_1619,type,
    newlist20: list(vEBT_VEBT) ).

tff(func_def_1620,type,
    sn21: vEBT_VEBT ).

tff(func_def_1621,type,
    maxs222: option(nat) ).

tff(func_def_1622,type,
    xn23: nat ).

tff(func_def_1623,type,
    minn24: nat ).

tff(func_def_1624,type,
    h25: nat ).

tff(func_def_1625,type,
    newnode26: vEBT_VEBT ).

tff(func_def_1626,type,
    newlist27: list(vEBT_VEBT) ).

tff(func_def_1627,type,
    sn28: vEBT_VEBT ).

tff(func_def_1628,type,
    maxs229: option(nat) ).

tff(func_def_1629,type,
    l30: nat ).

tff(func_def_1630,type,
    h31: nat ).

tff(func_def_1631,type,
    maxlow32: option(nat) ).

tff(func_def_1632,type,
    sc33: option(nat) ).

tff(func_def_1633,type,
    l34: nat ).

tff(func_def_1634,type,
    h35: nat ).

tff(func_def_1635,type,
    maxlow36: option(nat) ).

tff(func_def_1636,type,
    sc37: option(nat) ).

tff(func_def_1637,type,
    l38: nat ).

tff(func_def_1638,type,
    h39: nat ).

tff(func_def_1639,type,
    minlow40: option(nat) ).

tff(func_def_1640,type,
    pr41: option(nat) ).

tff(func_def_1641,type,
    l42: nat ).

tff(func_def_1642,type,
    h43: nat ).

tff(func_def_1643,type,
    minlow44: option(nat) ).

tff(func_def_1644,type,
    pr45: option(nat) ).

tff(func_def_1645,type,
    maxs246: option(nat) ).

tff(func_def_1646,type,
    maxs247: option(nat) ).

tff(func_def_1647,type,
    m248: 
      !>[X0: $tType] : X0 ).

tff(func_def_1648,type,
    w49: 
      !>[X0: $tType] : X0 ).

tff(func_def_1649,type,
    xn50: nat ).

tff(func_def_1650,type,
    minn51: nat ).

tff(func_def_1651,type,
    h52: nat ).

tff(func_def_1652,type,
    newnode53: vEBT_VEBT ).

tff(func_def_1653,type,
    newlist54: list(vEBT_VEBT) ).

tff(func_def_1654,type,
    sn55: vEBT_VEBT ).

tff(func_def_1655,type,
    maxs256: option(nat) ).

tff(func_def_1656,type,
    l57: nat ).

tff(func_def_1657,type,
    h58: nat ).

tff(func_def_1658,type,
    maxlow59: option(nat) ).

tff(func_def_1659,type,
    sc60: option(nat) ).

tff(func_def_1660,type,
    l61: nat ).

tff(func_def_1661,type,
    h62: nat ).

tff(func_def_1662,type,
    minlow63: option(nat) ).

tff(func_def_1663,type,
    pr64: option(nat) ).

tff(func_def_1664,type,
    h65: nat ).

tff(func_def_1665,type,
    xn66: nat ).

tff(func_def_1666,type,
    h67: nat ).

tff(func_def_1667,type,
    pos68: nat ).

tff(func_def_1668,type,
    pos69: nat ).

tff(func_def_1669,type,
    pos70: nat ).

tff(func_def_1670,type,
    l71: nat ).

tff(func_def_1671,type,
    h72: nat ).

tff(func_def_1672,type,
    maxlow73: option(nat) ).

tff(func_def_1673,type,
    sc74: option(nat) ).

tff(func_def_1674,type,
    l75: nat ).

tff(func_def_1675,type,
    h76: nat ).

tff(func_def_1676,type,
    minlow77: option(nat) ).

tff(func_def_1677,type,
    pr78: option(nat) ).

tff(func_def_1678,type,
    xn79: nat ).

tff(func_def_1679,type,
    minn80: nat ).

tff(func_def_1680,type,
    h81: nat ).

tff(func_def_1681,type,
    newnode82: vEBT_VEBT ).

tff(func_def_1682,type,
    newlist83: list(vEBT_VEBT) ).

tff(func_def_1683,type,
    sn84: vEBT_VEBT ).

tff(func_def_1684,type,
    maxs285: option(nat) ).

tff(func_def_1685,type,
    pos86: nat ).

tff(func_def_1686,type,
    pos87: nat ).

tff(func_def_1687,type,
    pos88: nat ).

tff(func_def_1688,type,
    pos89: nat ).

tff(func_def_1689,type,
    pos90: nat ).

tff(func_def_1690,type,
    pos91: nat ).

tff(func_def_1691,type,
    pos92: nat ).

tff(func_def_1692,type,
    h93: nat ).

tff(func_def_1693,type,
    h94: nat ).

tff(func_def_1694,type,
    h95: nat ).

tff(func_def_1695,type,
    pos96: nat ).

tff(func_def_1696,type,
    pos97: nat ).

tff(func_def_1697,type,
    xn98: nat ).

tff(func_def_1698,type,
    h99: nat ).

tff(func_def_1699,type,
    l100: nat ).

tff(func_def_1700,type,
    h101: nat ).

tff(func_def_1701,type,
    maxlow102: option(nat) ).

tff(func_def_1702,type,
    sc103: option(nat) ).

tff(func_def_1703,type,
    l104: nat ).

tff(func_def_1704,type,
    h105: nat ).

tff(func_def_1705,type,
    minlow106: option(nat) ).

tff(func_def_1706,type,
    pr107: option(nat) ).

tff(func_def_1707,type,
    xn108: nat ).

tff(func_def_1708,type,
    minn109: nat ).

tff(func_def_1709,type,
    h110: nat ).

tff(func_def_1710,type,
    newnode111: vEBT_VEBT ).

tff(func_def_1711,type,
    newlist112: list(vEBT_VEBT) ).

tff(func_def_1712,type,
    sn113: vEBT_VEBT ).

tff(func_def_1713,type,
    maxs2114: option(nat) ).

tff(func_def_1714,type,
    xn115: nat ).

tff(func_def_1715,type,
    h116: nat ).

tff(func_def_1716,type,
    h117: nat ).

tff(func_def_1717,type,
    h118: nat ).

tff(func_def_1718,type,
    pos119: nat ).

tff(func_def_1719,type,
    pos120: nat ).

tff(func_def_1720,type,
    pos121: nat ).

tff(func_def_1721,type,
    h122: nat ).

tff(func_def_1722,type,
    pos123: nat ).

tff(func_def_1723,type,
    pos124: nat ).

tff(func_def_1724,type,
    pos125: nat ).

tff(func_def_1725,type,
    pos126: nat ).

tff(func_def_1726,type,
    pos127: nat ).

tff(func_def_1727,type,
    pos128: nat ).

tff(func_def_1728,type,
    half129: nat ).

tff(func_def_1729,type,
    half130: nat ).

tff(func_def_1730,type,
    half131: nat ).

tff(func_def_1731,type,
    half132: nat ).

tff(func_def_1732,type,
    half133: nat ).

tff(func_def_1733,type,
    half134: nat ).

tff(func_def_1734,type,
    m2135: 
      !>[X0: $tType] : X0 ).

tff(func_def_1735,type,
    w136: 
      !>[X0: $tType] : X0 ).

tff(func_def_1736,type,
    l137: 
      !>[X0: $tType] : X0 ).

tff(func_def_1737,type,
    d138: int ).

tff(func_def_1738,type,
    l139: 
      !>[X0: $tType] : X0 ).

tff(func_def_1739,type,
    l140: code_integer ).

tff(func_def_1740,type,
    k141: code_integer ).

tff(func_def_1741,type,
    k142: code_integer ).

tff(func_def_1742,type,
    pv143: nat ).

tff(func_def_1743,type,
    pv144: nat ).

tff(func_def_1744,type,
    newnode145: vEBT_VEBT ).

tff(func_def_1745,type,
    newlist146: list(vEBT_VEBT) ).

tff(func_def_1746,type,
    sn147: vEBT_VEBT ).

tff(func_def_1747,type,
    maxs2148: option(nat) ).

tff(func_def_1748,type,
    a2149: int ).

tff(func_def_1749,type,
    a2150: int ).

tff(func_def_1750,type,
    n151: nat ).

tff(func_def_1751,type,
    m2152: nat ).

tff(func_def_1752,type,
    n153: nat ).

tff(func_def_1753,type,
    m2154: nat ).

tff(func_def_1754,type,
    n155: nat ).

tff(func_def_1755,type,
    m2156: nat ).

tff(func_def_1756,type,
    n157: nat ).

tff(func_def_1757,type,
    m2158: nat ).

tff(func_def_1758,type,
    n159: nat ).

tff(func_def_1759,type,
    m2160: nat ).

tff(func_def_1760,type,
    n161: nat ).

tff(func_def_1761,type,
    m2162: nat ).

tff(func_def_1762,type,
    n163: nat ).

tff(func_def_1763,type,
    m2164: nat ).

tff(func_def_1764,type,
    l2165: int ).

tff(func_def_1765,type,
    m3166: a ).

tff(func_def_1766,type,
    l2167: num ).

tff(func_def_1767,type,
    l3168: num ).

tff(func_def_1768,type,
    l2169: nat ).

tff(func_def_1769,type,
    l3170: nat ).

tff(func_def_1772,type,
    iG171: nat ).

tff(func_def_1773,type,
    iG172: 
      !>[X0: $tType] : ( ( nat * nat * list(X0) * X0 ) > X0 ) ).

tff(func_def_1774,type,
    iG173: ( nat * nat * nat * list(vEBT_VEBT) * nat ) > nat ).

tff(func_def_1775,type,
    iG174: ( nat * nat * nat * list(vEBT_VEBT) * nat ) > nat ).

tff(func_def_1776,type,
    iG175: nat ).

tff(func_def_1777,type,
    iG176: nat ).

tff(func_def_1778,type,
    iG177: nat ).

tff(func_def_1779,type,
    iG178: nat ).

tff(func_def_1780,type,
    iG179: nat ).

tff(func_def_1781,type,
    iG180: nat ).

tff(func_def_1782,type,
    lG181: ( list(vEBT_VEBT) * nat * nat ) > vEBT_VEBT ).

tff(func_def_1783,type,
    lG182: ( list(vEBT_VEBT) * nat * nat ) > list(vEBT_VEBT) ).

tff(func_def_1784,type,
    lG183: ( vEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_1785,type,
    lG184: ( vEBT_VEBT * nat ) > option(nat) ).

tff(func_def_1786,type,
    iG185: ( nat * vEBT_VEBT * nat * list(vEBT_VEBT) * nat * nat ) > nat ).

tff(func_def_1787,type,
    iG186: ( nat * nat * nat * vEBT_VEBT * nat * list(vEBT_VEBT) * nat * nat ) > nat ).

tff(func_def_1788,type,
    iG187: ( nat * nat * nat * nat * list(vEBT_VEBT) * nat ) > nat ).

tff(func_def_1789,type,
    iG188: ( nat * nat * list(vEBT_VEBT) * vEBT_VEBT * nat * nat * nat * nat ) > vEBT_VEBT ).

tff(func_def_1790,type,
    lG189: vEBT_VEBT > option(nat) ).

tff(func_def_1791,type,
    iG190: ( vEBT_VEBT * list(vEBT_VEBT) * nat * nat ) > nat ).

tff(func_def_1792,type,
    iG191: ( nat * nat * vEBT_VEBT * list(vEBT_VEBT) * nat * nat ) > nat ).

tff(func_def_1793,type,
    lG192: ( vEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_1794,type,
    lG193: ( vEBT_VEBT * nat ) > option(nat) ).

tff(func_def_1795,type,
    iG194: ( nat * vEBT_VEBT * list(vEBT_VEBT) * nat * nat ) > nat ).

tff(func_def_1796,type,
    iG195: ( nat * nat * nat * vEBT_VEBT * list(vEBT_VEBT) * nat * nat ) > nat ).

tff(func_def_1797,type,
    iG196: ( nat * nat * nat * list(vEBT_VEBT) * nat ) > nat ).

tff(func_def_1798,type,
    iG197: ( vEBT_VEBT * vEBT_VEBT * list(vEBT_VEBT) * nat * nat * nat * nat * nat ) > vEBT_VEBT ).

tff(func_def_1799,type,
    lG198: ( nat * list(vEBT_VEBT) * vEBT_VEBT ) > nat ).

tff(func_def_1800,type,
    lG199: ( list(vEBT_VEBT) * vEBT_VEBT * nat ) > nat ).

tff(func_def_1801,type,
    lG200: ( list(vEBT_VEBT) * vEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_1802,type,
    lG201: ( list(vEBT_VEBT) * vEBT_VEBT * nat ) > list(vEBT_VEBT) ).

tff(func_def_1803,type,
    lG202: ( list(vEBT_VEBT) * vEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_1804,type,
    lG203: ( list(vEBT_VEBT) * vEBT_VEBT * nat ) > option(nat) ).

tff(func_def_1805,type,
    iG204: ( nat * vEBT_VEBT * list(vEBT_VEBT) ) > nat ).

tff(func_def_1806,type,
    iG205: ( nat * vEBT_VEBT * list(vEBT_VEBT) * nat ) > nat ).

tff(func_def_1807,type,
    iG206: ( nat * vEBT_VEBT * list(vEBT_VEBT) * nat ) > nat ).

tff(func_def_1808,type,
    iG207: ( nat * vEBT_VEBT * list(vEBT_VEBT) * nat ) > vEBT_VEBT ).

tff(func_def_1809,type,
    iG208: ( list(vEBT_VEBT) * nat * vEBT_VEBT * nat * nat ) > vEBT_VEBT ).

tff(func_def_1810,type,
    lG209: vEBT_VEBT > option(nat) ).

tff(func_def_1811,type,
    iG210: ( vEBT_VEBT * list(vEBT_VEBT) * nat * nat ) > nat ).

tff(func_def_1812,type,
    iG211: ( nat * nat * vEBT_VEBT * list(vEBT_VEBT) * nat ) > nat ).

tff(func_def_1813,type,
    lG212: ( vEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_1814,type,
    lG213: ( vEBT_VEBT * nat ) > option(nat) ).

tff(func_def_1815,type,
    iG214: ( nat * vEBT_VEBT * list(vEBT_VEBT) * nat * nat ) > nat ).

tff(func_def_1816,type,
    iG215: ( nat * nat * nat * vEBT_VEBT * list(vEBT_VEBT) * nat ) > nat ).

tff(func_def_1817,type,
    iG216: ( nat * nat * nat * list(vEBT_VEBT) * nat ) > nat ).

tff(func_def_1818,type,
    iG217: ( vEBT_VEBT * vEBT_VEBT * list(vEBT_VEBT) * nat * nat * nat * nat ) > vEBT_VEBT ).

tff(func_def_1819,type,
    lG218: ( list(vEBT_VEBT) * nat * nat ) > vEBT_VEBT ).

tff(func_def_1820,type,
    lG219: ( list(vEBT_VEBT) * nat * nat ) > list(vEBT_VEBT) ).

tff(func_def_1821,type,
    lG220: ( vEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_1822,type,
    lG221: ( vEBT_VEBT * nat ) > option(nat) ).

tff(func_def_1823,type,
    iG222: ( nat * vEBT_VEBT * nat * list(vEBT_VEBT) * nat * nat ) > nat ).

tff(func_def_1824,type,
    iG223: ( nat * nat * nat * vEBT_VEBT * nat * list(vEBT_VEBT) * nat ) > nat ).

tff(func_def_1825,type,
    iG224: ( nat * nat * nat * nat * list(vEBT_VEBT) * nat ) > nat ).

tff(func_def_1826,type,
    iG225: ( nat * nat * list(vEBT_VEBT) * vEBT_VEBT * nat * nat * nat ) > vEBT_VEBT ).

tff(func_def_1827,type,
    lG226: ( nat * list(vEBT_VEBT) * vEBT_VEBT * nat * nat ) > nat ).

tff(func_def_1828,type,
    iG227: ( nat * nat * vEBT_VEBT * list(vEBT_VEBT) * nat ) > nat ).

tff(func_def_1829,type,
    lG228: ( nat * list(vEBT_VEBT) * vEBT_VEBT * nat * nat ) > nat ).

tff(func_def_1830,type,
    iG229: ( nat * nat * vEBT_VEBT * list(vEBT_VEBT) * nat ) > nat ).

tff(func_def_1831,type,
    lG230: ( list(vEBT_VEBT) * vEBT_VEBT * nat * nat * nat ) > nat ).

tff(func_def_1832,type,
    lG231: ( list(vEBT_VEBT) * vEBT_VEBT * nat * nat * nat ) > vEBT_VEBT ).

tff(func_def_1833,type,
    lG232: ( list(vEBT_VEBT) * vEBT_VEBT * nat * nat * nat ) > list(vEBT_VEBT) ).

tff(func_def_1834,type,
    lG233: ( list(vEBT_VEBT) * vEBT_VEBT * nat * nat * nat ) > vEBT_VEBT ).

tff(func_def_1835,type,
    lG234: ( list(vEBT_VEBT) * vEBT_VEBT * nat * nat * nat ) > option(nat) ).

tff(func_def_1836,type,
    iG235: ( nat * nat * nat * vEBT_VEBT * list(vEBT_VEBT) ) > nat ).

tff(func_def_1837,type,
    iG236: ( nat * nat * nat * vEBT_VEBT * list(vEBT_VEBT) * nat ) > nat ).

tff(func_def_1838,type,
    iG237: ( nat * nat * nat * vEBT_VEBT * list(vEBT_VEBT) * nat ) > nat ).

tff(func_def_1839,type,
    iG238: ( nat * nat * nat * vEBT_VEBT * list(vEBT_VEBT) * nat ) > vEBT_VEBT ).

tff(func_def_1840,type,
    iG239: ( list(vEBT_VEBT) * nat * nat * nat * vEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_1841,type,
    lG240: ( nat * nat ) > nat ).

tff(func_def_1842,type,
    lG241: ( nat * nat ) > nat ).

tff(func_def_1843,type,
    lG242: ( list(vEBT_VEBT) * nat * nat ) > option(nat) ).

tff(func_def_1844,type,
    lG243: ( vEBT_VEBT * nat * nat ) > option(nat) ).

tff(func_def_1845,type,
    iG244: ( nat * nat * vEBT_VEBT * list(vEBT_VEBT) ) > option(nat) ).

tff(func_def_1846,type,
    iG245: ( nat * nat * list(vEBT_VEBT) * vEBT_VEBT ) > option(nat) ).

tff(func_def_1847,type,
    lG246: ( nat * nat ) > nat ).

tff(func_def_1848,type,
    lG247: ( nat * nat ) > nat ).

tff(func_def_1849,type,
    lG248: ( list(vEBT_VEBT) * nat * nat ) > option(nat) ).

tff(func_def_1850,type,
    lG249: ( vEBT_VEBT * nat * nat ) > option(nat) ).

tff(func_def_1851,type,
    iG250: ( nat * nat * vEBT_VEBT * list(vEBT_VEBT) ) > option(nat) ).

tff(func_def_1852,type,
    iG251: ( nat * nat * list(vEBT_VEBT) * vEBT_VEBT ) > option(nat) ).

tff(func_def_1853,type,
    iG252: ( list(vEBT_VEBT) * nat * nat * vEBT_VEBT ) > option(nat) ).

tff(func_def_1854,type,
    lG253: ( nat * nat ) > nat ).

tff(func_def_1855,type,
    lG254: ( nat * nat ) > nat ).

tff(func_def_1856,type,
    lG255: ( list(vEBT_VEBT) * nat * nat ) > option(nat) ).

tff(func_def_1857,type,
    lG256: ( vEBT_VEBT * nat * nat ) > option(nat) ).

tff(func_def_1858,type,
    iG257: ( nat * nat ) > option(nat) ).

tff(func_def_1859,type,
    iG258: ( nat * nat * vEBT_VEBT * list(vEBT_VEBT) * nat ) > option(nat) ).

tff(func_def_1860,type,
    iG259: ( nat * nat * list(vEBT_VEBT) * vEBT_VEBT * nat ) > option(nat) ).

tff(func_def_1861,type,
    iG260: ( list(vEBT_VEBT) * nat * nat * vEBT_VEBT * nat ) > option(nat) ).

tff(func_def_1862,type,
    lG261: ( nat * nat ) > nat ).

tff(func_def_1863,type,
    lG262: ( nat * nat ) > nat ).

tff(func_def_1864,type,
    lG263: ( list(vEBT_VEBT) * nat * nat ) > option(nat) ).

tff(func_def_1865,type,
    lG264: ( vEBT_VEBT * nat * nat ) > option(nat) ).

tff(func_def_1866,type,
    iG265: ( nat * nat ) > option(nat) ).

tff(func_def_1867,type,
    iG266: ( nat * nat * vEBT_VEBT * list(vEBT_VEBT) * nat ) > option(nat) ).

tff(func_def_1868,type,
    iG267: ( nat * nat * list(vEBT_VEBT) * vEBT_VEBT * nat ) > option(nat) ).

tff(func_def_1869,type,
    iG268: nat ).

tff(func_def_1870,type,
    iG269: nat ).

tff(func_def_1871,type,
    iG270: nat ).

tff(func_def_1872,type,
    iG271: nat ).

tff(func_def_1873,type,
    iG272: nat ).

tff(func_def_1874,type,
    lG273: 
      !>[X0: $tType] : ( num > X0 ) ).

tff(func_def_1875,type,
    lG274: 
      !>[X0: $tType] : ( ( X0 * num ) > X0 ) ).

tff(func_def_1876,type,
    lG275: ( nat * list(vEBT_VEBT) * vEBT_VEBT * nat * nat ) > nat ).

tff(func_def_1877,type,
    iG276: ( nat * nat * vEBT_VEBT * list(vEBT_VEBT) * nat ) > nat ).

tff(func_def_1878,type,
    lG277: ( nat * list(vEBT_VEBT) * vEBT_VEBT * nat * nat ) > nat ).

tff(func_def_1879,type,
    iG278: ( nat * nat * vEBT_VEBT * list(vEBT_VEBT) * nat ) > nat ).

tff(func_def_1880,type,
    lG279: ( list(vEBT_VEBT) * vEBT_VEBT * nat * nat * nat ) > nat ).

tff(func_def_1881,type,
    lG280: ( list(vEBT_VEBT) * vEBT_VEBT * nat * nat * nat ) > vEBT_VEBT ).

tff(func_def_1882,type,
    lG281: ( list(vEBT_VEBT) * vEBT_VEBT * nat * nat * nat ) > list(vEBT_VEBT) ).

tff(func_def_1883,type,
    lG282: ( list(vEBT_VEBT) * vEBT_VEBT * nat * nat * nat ) > vEBT_VEBT ).

tff(func_def_1884,type,
    lG283: ( list(vEBT_VEBT) * vEBT_VEBT * nat * nat * nat ) > option(nat) ).

tff(func_def_1885,type,
    iG284: ( nat * nat * nat * vEBT_VEBT * list(vEBT_VEBT) ) > nat ).

tff(func_def_1886,type,
    iG285: ( nat * nat * nat * vEBT_VEBT * list(vEBT_VEBT) * nat ) > nat ).

tff(func_def_1887,type,
    iG286: ( nat * nat * nat * vEBT_VEBT * list(vEBT_VEBT) * nat ) > nat ).

tff(func_def_1888,type,
    iG287: ( nat * nat * nat * vEBT_VEBT * list(vEBT_VEBT) * nat ) > vEBT_VEBT ).

tff(func_def_1889,type,
    iG288: ( list(vEBT_VEBT) * nat * nat * nat * vEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_1890,type,
    iG289: ( nat * nat * nat * vEBT_VEBT * list(vEBT_VEBT) * nat ) > vEBT_VEBT ).

tff(func_def_1891,type,
    iG290: ( nat * nat * nat * vEBT_VEBT * list(vEBT_VEBT) * nat ) > vEBT_VEBT ).

tff(func_def_1892,type,
    lG291: ( nat * nat ) > nat ).

tff(func_def_1893,type,
    lG292: ( nat * nat ) > nat ).

tff(func_def_1894,type,
    lG293: ( list(vEBT_VEBT) * nat * nat ) > option(nat) ).

tff(func_def_1895,type,
    lG294: ( vEBT_VEBT * nat * nat ) > option(nat) ).

tff(func_def_1896,type,
    iG295: ( nat * nat * vEBT_VEBT * list(vEBT_VEBT) ) > option(nat) ).

tff(func_def_1897,type,
    iG296: ( nat * nat * list(vEBT_VEBT) * vEBT_VEBT ) > option(nat) ).

tff(func_def_1898,type,
    iG297: ( list(vEBT_VEBT) * nat * nat * vEBT_VEBT ) > option(nat) ).

tff(func_def_1899,type,
    iG298: ( nat * nat * nat * list(vEBT_VEBT) * vEBT_VEBT ) > option(nat) ).

tff(func_def_1900,type,
    lG299: ( nat * nat ) > nat ).

tff(func_def_1901,type,
    lG300: ( nat * nat ) > nat ).

tff(func_def_1902,type,
    lG301: ( list(vEBT_VEBT) * nat * nat ) > option(nat) ).

tff(func_def_1903,type,
    lG302: ( vEBT_VEBT * nat * nat ) > option(nat) ).

tff(func_def_1904,type,
    iG303: ( nat * nat ) > option(nat) ).

tff(func_def_1905,type,
    iG304: ( nat * nat * vEBT_VEBT * list(vEBT_VEBT) * nat ) > option(nat) ).

tff(func_def_1906,type,
    iG305: ( nat * nat * list(vEBT_VEBT) * vEBT_VEBT * nat ) > option(nat) ).

tff(func_def_1907,type,
    iG306: ( list(vEBT_VEBT) * nat * nat * vEBT_VEBT * nat ) > option(nat) ).

tff(func_def_1908,type,
    iG307: ( nat * nat * nat * list(vEBT_VEBT) * vEBT_VEBT * nat ) > option(nat) ).

tff(func_def_1909,type,
    lG308: ( nat * nat ) > nat ).

tff(func_def_1910,type,
    iG309: ( list(vEBT_VEBT) * nat * nat ) > $o ).

tff(func_def_1911,type,
    iG310: ( nat * nat * nat * list(vEBT_VEBT) ) > $o ).

tff(func_def_1912,type,
    iG311: ( nat * nat * nat * nat * list(vEBT_VEBT) ) > $o ).

tff(func_def_1913,type,
    iG312: ( nat * nat * nat * nat * list(vEBT_VEBT) ) > $o ).

tff(func_def_1914,type,
    iG313: ( nat * nat * nat * nat * list(vEBT_VEBT) ) > $o ).

tff(func_def_1915,type,
    iG314: ( nat * nat * list(vEBT_VEBT) * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_1916,type,
    iG315: ( nat * nat * list(vEBT_VEBT) * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_1917,type,
    iG316: 
      !>[X0: $tType] : ( ( num * num ) > X0 ) ).

tff(func_def_1918,type,
    lG317: ( nat * nat ) > nat ).

tff(func_def_1919,type,
    iG318: ( nat * nat ) > nat ).

tff(func_def_1920,type,
    lG319: ( nat * nat * nat ) > nat ).

tff(func_def_1921,type,
    iG320: ( nat * nat ) > nat ).

tff(func_def_1922,type,
    iG321: ( nat * nat * nat * list(vEBT_VEBT) * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_1923,type,
    iG322: ( list(vEBT_VEBT) * nat * nat * nat * nat * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_1924,type,
    lG323: ( nat * nat ) > nat ).

tff(func_def_1925,type,
    lG325: ( nat * nat ) > nat ).

tff(func_def_1926,type,
    lG327: ( nat * nat ) > nat ).

tff(func_def_1927,type,
    iG329: 
      !>[X0: $tType] : ( ( X0 * num * X0 ) > product_prod(X0,X0) ) ).

tff(func_def_1928,type,
    lG330: ( nat * nat ) > nat ).

tff(func_def_1929,type,
    lG331: ( nat * nat ) > nat ).

tff(func_def_1930,type,
    lG332: ( list(vEBT_VEBT) * nat * nat ) > option(nat) ).

tff(func_def_1931,type,
    lG333: ( vEBT_VEBT * nat * nat ) > option(nat) ).

tff(func_def_1932,type,
    iG334: ( nat * nat * vEBT_VEBT * list(vEBT_VEBT) ) > option(nat) ).

tff(func_def_1933,type,
    iG335: ( nat * nat * list(vEBT_VEBT) * vEBT_VEBT ) > option(nat) ).

tff(func_def_1934,type,
    iG336: ( list(vEBT_VEBT) * nat * nat * vEBT_VEBT ) > option(nat) ).

tff(func_def_1935,type,
    iG337: ( nat * nat * nat * list(vEBT_VEBT) * vEBT_VEBT ) > option(nat) ).

tff(func_def_1936,type,
    bG338: $o > $o ).

tff(func_def_1937,type,
    bG339: $o > $o ).

tff(func_def_1938,type,
    iG340: $o > option(nat) ).

tff(func_def_1939,type,
    bG341: $o > $o ).

tff(func_def_1940,type,
    bG342: $o > $o ).

tff(func_def_1941,type,
    lG343: ( nat * nat ) > nat ).

tff(func_def_1942,type,
    lG344: ( nat * nat ) > nat ).

tff(func_def_1943,type,
    lG345: ( list(vEBT_VEBT) * nat * nat ) > option(nat) ).

tff(func_def_1944,type,
    lG346: ( vEBT_VEBT * nat * nat ) > option(nat) ).

tff(func_def_1945,type,
    iG347: ( nat * nat ) > option(nat) ).

tff(func_def_1946,type,
    iG348: ( nat * nat * vEBT_VEBT * list(vEBT_VEBT) * nat ) > option(nat) ).

tff(func_def_1947,type,
    iG349: ( nat * nat * list(vEBT_VEBT) * vEBT_VEBT * nat ) > option(nat) ).

tff(func_def_1948,type,
    iG350: ( list(vEBT_VEBT) * nat * nat * vEBT_VEBT * nat ) > option(nat) ).

tff(func_def_1949,type,
    iG351: ( nat * nat * nat * list(vEBT_VEBT) * vEBT_VEBT * nat ) > option(nat) ).

tff(func_def_1950,type,
    iG352: $o > option(nat) ).

tff(func_def_1951,type,
    iG353: ( $o * $o ) > option(nat) ).

tff(func_def_1952,type,
    bG354: $o > $o ).

tff(func_def_1953,type,
    bG355: $o > $o ).

tff(func_def_1954,type,
    iG356: $o > option(nat) ).

tff(func_def_1955,type,
    bG357: $o > $o ).

tff(func_def_1956,type,
    bG358: $o > $o ).

tff(func_def_1957,type,
    bG359: $o > $o ).

tff(func_def_1958,type,
    bG360: $o > $o ).

tff(func_def_1959,type,
    lG361: ( nat * list(vEBT_VEBT) * vEBT_VEBT * nat * nat ) > nat ).

tff(func_def_1960,type,
    iG362: ( nat * nat * vEBT_VEBT * list(vEBT_VEBT) * nat ) > nat ).

tff(func_def_1961,type,
    lG363: ( nat * list(vEBT_VEBT) * vEBT_VEBT * nat * nat ) > nat ).

tff(func_def_1962,type,
    iG364: ( nat * nat * vEBT_VEBT * list(vEBT_VEBT) * nat ) > nat ).

tff(func_def_1963,type,
    lG365: ( list(vEBT_VEBT) * vEBT_VEBT * nat * nat * nat ) > nat ).

tff(func_def_1964,type,
    lG366: ( list(vEBT_VEBT) * vEBT_VEBT * nat * nat * nat ) > vEBT_VEBT ).

tff(func_def_1965,type,
    lG367: ( list(vEBT_VEBT) * vEBT_VEBT * nat * nat * nat ) > list(vEBT_VEBT) ).

tff(func_def_1966,type,
    lG368: ( list(vEBT_VEBT) * vEBT_VEBT * nat * nat * nat ) > vEBT_VEBT ).

tff(func_def_1967,type,
    lG369: ( list(vEBT_VEBT) * vEBT_VEBT * nat * nat * nat ) > option(nat) ).

tff(func_def_1968,type,
    iG370: ( nat * nat * nat * vEBT_VEBT * list(vEBT_VEBT) ) > nat ).

tff(func_def_1969,type,
    iG371: ( nat * nat * nat * vEBT_VEBT * list(vEBT_VEBT) * nat ) > nat ).

tff(func_def_1970,type,
    iG372: ( nat * nat * nat * vEBT_VEBT * list(vEBT_VEBT) * nat ) > nat ).

tff(func_def_1971,type,
    iG373: ( nat * nat * nat * vEBT_VEBT * list(vEBT_VEBT) * nat ) > vEBT_VEBT ).

tff(func_def_1972,type,
    iG374: ( list(vEBT_VEBT) * nat * nat * nat * vEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_1973,type,
    iG375: ( nat * nat * nat * vEBT_VEBT * list(vEBT_VEBT) * nat ) > vEBT_VEBT ).

tff(func_def_1974,type,
    iG376: ( nat * nat * nat * vEBT_VEBT * list(vEBT_VEBT) * nat ) > vEBT_VEBT ).

tff(func_def_1975,type,
    bG377: $o > $o ).

tff(func_def_1976,type,
    bG378: $o > $o ).

tff(func_def_1977,type,
    bG379: $o > $o ).

tff(func_def_1978,type,
    bG380: $o > $o ).

tff(func_def_1979,type,
    bG381: $o > $o ).

tff(func_def_1980,type,
    bG382: $o > $o ).

tff(func_def_1981,type,
    bG383: $o > $o ).

tff(func_def_1982,type,
    bG384: $o > $o ).

tff(func_def_1983,type,
    bG385: $o > $o ).

tff(func_def_1984,type,
    bG386: $o > $o ).

tff(func_def_1985,type,
    bG387: $o > $o ).

tff(func_def_1986,type,
    bG388: $o > $o ).

tff(func_def_1987,type,
    bG389: $o > $o ).

tff(func_def_1988,type,
    bG390: $o > $o ).

tff(func_def_1989,type,
    bG391: $o > $o ).

tff(func_def_1990,type,
    bG392: $o > $o ).

tff(func_def_1991,type,
    bG393: $o > $o ).

tff(func_def_1992,type,
    bG394: $o > $o ).

tff(func_def_1993,type,
    bG395: $o > $o ).

tff(func_def_1994,type,
    bG396: $o > $o ).

tff(func_def_1995,type,
    bG397: $o > $o ).

tff(func_def_1996,type,
    bG398: $o > $o ).

tff(func_def_1997,type,
    iG399: 
      !>[X0: $tType] : ( ( X0 * X0 * X0 ) > X0 ) ).

tff(func_def_1998,type,
    iG400: 
      !>[X0: $tType] : ( ( X0 * X0 * X0 ) > X0 ) ).

tff(func_def_1999,type,
    iG401: 
      !>[X0: $tType] : ( X0 > X0 ) ).

tff(func_def_2000,type,
    iG402: ( nat * nat * nat ) > nat ).

tff(func_def_2001,type,
    iG405: ( nat * nat ) > nat ).

tff(func_def_2002,type,
    bG406: $o > $o ).

tff(func_def_2003,type,
    bG407: $o > $o ).

tff(func_def_2004,type,
    bG408: $o > $o ).

tff(func_def_2005,type,
    bG409: $o > $o ).

tff(func_def_2006,type,
    bG412: $o > $o ).

tff(func_def_2007,type,
    bG413: $o > $o ).

tff(func_def_2008,type,
    bG414: $o > $o ).

tff(func_def_2009,type,
    bG415: $o > $o ).

tff(func_def_2010,type,
    bG416: $o > $o ).

tff(func_def_2011,type,
    bG417: $o > $o ).

tff(func_def_2012,type,
    bG418: $o > $o ).

tff(func_def_2013,type,
    bG419: $o > $o ).

tff(func_def_2014,type,
    bG420: $o > $o ).

tff(func_def_2015,type,
    bG421: $o > $o ).

tff(func_def_2016,type,
    bG422: $o > $o ).

tff(func_def_2017,type,
    bG423: $o > $o ).

tff(func_def_2018,type,
    bG424: $o > $o ).

tff(func_def_2019,type,
    bG425: $o > $o ).

tff(func_def_2020,type,
    iG426: 
      !>[X0: $tType] : ( nat > X0 ) ).

tff(func_def_2021,type,
    bG427: $o > $o ).

tff(func_def_2022,type,
    bG428: $o > $o ).

tff(func_def_2023,type,
    iG429: ( nat * $o ) > $o ).

tff(func_def_2024,type,
    iG430: ( nat * $o * $o ) > $o ).

tff(func_def_2025,type,
    bG431: $o > $o ).

tff(func_def_2026,type,
    bG432: $o > $o ).

tff(func_def_2027,type,
    bG433: $o > $o ).

tff(func_def_2028,type,
    bG434: $o > $o ).

tff(func_def_2029,type,
    bG435: $o > $o ).

tff(func_def_2030,type,
    bG436: $o > $o ).

tff(func_def_2031,type,
    bG437: $o > $o ).

tff(func_def_2032,type,
    bG438: $o > $o ).

tff(func_def_2033,type,
    bG439: $o > $o ).

tff(func_def_2034,type,
    bG440: $o > $o ).

tff(func_def_2035,type,
    bG441: $o > $o ).

tff(func_def_2036,type,
    bG442: $o > $o ).

tff(func_def_2037,type,
    iG443: ( nat * $o * $o ) > vEBT_VEBT ).

tff(func_def_2038,type,
    iG444: ( nat * $o * $o ) > vEBT_VEBT ).

tff(func_def_2039,type,
    bG445: $o > $o ).

tff(func_def_2040,type,
    bG446: $o > $o ).

tff(func_def_2041,type,
    bG447: $o > $o ).

tff(func_def_2042,type,
    bG448: $o > $o ).

tff(func_def_2043,type,
    bG449: $o > $o ).

tff(func_def_2044,type,
    bG450: $o > $o ).

tff(func_def_2045,type,
    bG451: $o > $o ).

tff(func_def_2046,type,
    bG452: $o > $o ).

tff(func_def_2047,type,
    bG453: $o > $o ).

tff(func_def_2048,type,
    bG454: $o > $o ).

tff(func_def_2049,type,
    bG455: $o > $o ).

tff(func_def_2050,type,
    bG456: $o > $o ).

tff(func_def_2051,type,
    bG457: $o > $o ).

tff(func_def_2052,type,
    bG458: $o > $o ).

tff(func_def_2053,type,
    bG459: $o > $o ).

tff(func_def_2054,type,
    bG460: $o > $o ).

tff(func_def_2055,type,
    bG461: $o > $o ).

tff(func_def_2056,type,
    bG462: $o > $o ).

tff(func_def_2057,type,
    bG463: $o > $o ).

tff(func_def_2058,type,
    bG464: $o > $o ).

tff(func_def_2059,type,
    bG465: $o > $o ).

tff(func_def_2060,type,
    bG466: $o > $o ).

tff(func_def_2061,type,
    bG467: $o > $o ).

tff(func_def_2062,type,
    bG468: $o > $o ).

tff(func_def_2063,type,
    bG469: $o > $o ).

tff(func_def_2064,type,
    bG470: $o > $o ).

tff(func_def_2065,type,
    iG471: ( nat * nat ) > nat ).

tff(func_def_2066,type,
    bG472: $o > $o ).

tff(func_def_2067,type,
    bG473: $o > $o ).

tff(func_def_2068,type,
    bG474: $o > $o ).

tff(func_def_2069,type,
    bG475: $o > $o ).

tff(func_def_2070,type,
    bG476: $o > $o ).

tff(func_def_2071,type,
    bG477: $o > $o ).

tff(func_def_2072,type,
    iG478: $o > option(nat) ).

tff(func_def_2073,type,
    iG479: ( $o * $o ) > option(nat) ).

tff(func_def_2074,type,
    bG480: $o > $o ).

tff(func_def_2075,type,
    bG481: $o > $o ).

tff(func_def_2076,type,
    iG482: $o > option(nat) ).

tff(func_def_2077,type,
    iG483: ( $o * $o ) > option(nat) ).

tff(func_def_2078,type,
    bG484: $o > $o ).

tff(func_def_2079,type,
    bG485: $o > $o ).

tff(func_def_2080,type,
    iG486: $o > option(nat) ).

tff(func_def_2081,type,
    bG487: $o > $o ).

tff(func_def_2082,type,
    bG488: $o > $o ).

tff(func_def_2083,type,
    iG489: $o > option(nat) ).

tff(func_def_2084,type,
    bG492: $o > $o ).

tff(func_def_2085,type,
    bG493: $o > $o ).

tff(func_def_2086,type,
    iG494: $o > option(nat) ).

tff(func_def_2087,type,
    iG495: ( $o * $o ) > option(nat) ).

tff(func_def_2088,type,
    bG496: $o > $o ).

tff(func_def_2089,type,
    bG497: $o > $o ).

tff(func_def_2090,type,
    bG498: $o > $o ).

tff(func_def_2091,type,
    bG499: $o > $o ).

tff(func_def_2092,type,
    bG500: $o > $o ).

tff(func_def_2093,type,
    bG501: $o > $o ).

tff(func_def_2094,type,
    iG502: 
      !>[X0: $tType] : ( ( X0 * X0 * X0 ) > $o ) ).

tff(func_def_2095,type,
    iG503: 
      !>[X0: $tType] : ( ( X0 * X0 * X0 ) > $o ) ).

tff(func_def_2096,type,
    iG504: 
      !>[X0: $tType] : ( ( X0 * X0 * X0 ) > $o ) ).

tff(func_def_2097,type,
    iG505: 
      !>[X0: $tType] : ( ( X0 * X0 * X0 ) > $o ) ).

tff(func_def_2098,type,
    iG508: 
      !>[X0: $tType] : ( ( X0 * X0 * X0 ) > X0 ) ).

tff(func_def_2099,type,
    iG509: 
      !>[X0: $tType] : ( ( X0 * X0 * X0 ) > X0 ) ).

tff(func_def_2100,type,
    iG510: 
      !>[X0: $tType] : ( ( X0 * X0 * X0 ) > X0 ) ).

tff(func_def_2101,type,
    bG511: $o > $o ).

tff(func_def_2102,type,
    bG512: $o > $o ).

tff(func_def_2103,type,
    bG513: $o > $o ).

tff(func_def_2104,type,
    bG514: $o > $o ).

tff(func_def_2105,type,
    iG515: $o > option(nat) ).

tff(func_def_2106,type,
    iG516: ( $o * $o ) > option(nat) ).

tff(func_def_2107,type,
    bG517: $o > $o ).

tff(func_def_2108,type,
    bG518: $o > $o ).

tff(func_def_2109,type,
    iG519: $o > option(nat) ).

tff(func_def_2110,type,
    iG520: ( $o * $o ) > option(nat) ).

tff(func_def_2111,type,
    bG521: $o > $o ).

tff(func_def_2112,type,
    bG522: $o > $o ).

tff(func_def_2113,type,
    iG523: 
      !>[X0: $tType] : ( ( X0 * X0 * X0 ) > $o ) ).

tff(func_def_2114,type,
    iG524: 
      !>[X0: $tType] : ( ( X0 * X0 * X0 ) > $o ) ).

tff(func_def_2115,type,
    iG525: 
      !>[X0: $tType] : ( ( X0 * X0 * X0 ) > $o ) ).

tff(func_def_2116,type,
    iG526: 
      !>[X0: $tType] : ( ( X0 * X0 * X0 ) > $o ) ).

tff(func_def_2117,type,
    iG527: 
      !>[X0: $tType] : ( ( X0 * num * X0 ) > $o ) ).

tff(func_def_2118,type,
    iG528: 
      !>[X0: $tType] : ( ( X0 * num * X0 ) > $o ) ).

tff(func_def_2119,type,
    iG529: 
      !>[X0: $tType] : ( ( X0 * num * X0 ) > $o ) ).

tff(func_def_2120,type,
    iG530: 
      !>[X0: $tType] : ( ( X0 * num * X0 ) > $o ) ).

tff(func_def_2121,type,
    iG531: ( nat * nat ) > nat ).

tff(func_def_2122,type,
    iG532: ( nat * nat ) > nat ).

tff(func_def_2123,type,
    lG533: ( nat * nat ) > nat ).

tff(func_def_2124,type,
    bG537: $o > $o ).

tff(func_def_2125,type,
    bG538: $o > $o ).

tff(func_def_2126,type,
    lG539: ( nat * nat ) > nat ).

tff(func_def_2127,type,
    bG543: $o > $o ).

tff(func_def_2128,type,
    bG544: $o > $o ).

tff(func_def_2129,type,
    lG545: ( nat * nat ) > nat ).

tff(func_def_2130,type,
    bG549: $o > $o ).

tff(func_def_2131,type,
    bG550: $o > $o ).

tff(func_def_2132,type,
    iG551: ( nat * nat ) > nat ).

tff(func_def_2133,type,
    lG552: ( nat * nat ) > nat ).

tff(func_def_2134,type,
    lG554: ( nat * nat ) > nat ).

tff(func_def_2135,type,
    bG556: $o > $o ).

tff(func_def_2136,type,
    bG557: $o > $o ).

tff(func_def_2137,type,
    lG558: ( nat * nat ) > nat ).

tff(func_def_2138,type,
    lG560: ( nat * nat ) > nat ).

tff(func_def_2139,type,
    bG562: $o > $o ).

tff(func_def_2140,type,
    bG563: $o > $o ).

tff(func_def_2141,type,
    iG564: 
      !>[X0: $tType] : ( ( X0 * num * X0 ) > $o ) ).

tff(func_def_2142,type,
    iG565: 
      !>[X0: $tType] : ( ( X0 * num * X0 ) > $o ) ).

tff(func_def_2143,type,
    iG566: 
      !>[X0: $tType] : ( ( X0 * num * X0 ) > $o ) ).

tff(func_def_2144,type,
    iG567: 
      !>[X0: $tType] : ( ( X0 * num * X0 ) > $o ) ).

tff(func_def_2145,type,
    iG568: 
      !>[X0: $tType] : ( ( nat * nat * X0 ) > X0 ) ).

tff(func_def_2146,type,
    iG569: 
      !>[X0: $tType] : ( ( nat * X0 ) > X0 ) ).

tff(func_def_2147,type,
    lG570: ( nat * nat ) > nat ).

tff(func_def_2148,type,
    bG578: $o > $o ).

tff(func_def_2149,type,
    bG579: $o > $o ).

tff(func_def_2150,type,
    lG580: ( nat * nat ) > nat ).

tff(func_def_2151,type,
    bG588: $o > $o ).

tff(func_def_2152,type,
    bG589: $o > $o ).

tff(func_def_2153,type,
    lG590: ( nat * nat ) > nat ).

tff(func_def_2154,type,
    bG598: $o > $o ).

tff(func_def_2155,type,
    bG599: $o > $o ).

tff(func_def_2156,type,
    lG600: ( nat * nat ) > nat ).

tff(func_def_2157,type,
    lG602: ( nat * nat ) > nat ).

tff(func_def_2158,type,
    bG604: $o > $o ).

tff(func_def_2159,type,
    bG605: $o > $o ).

tff(func_def_2160,type,
    bG606: $o > $o ).

tff(func_def_2161,type,
    bG607: $o > $o ).

tff(func_def_2162,type,
    lG608: ( nat * nat ) > nat ).

tff(func_def_2163,type,
    iG609: ( nat * nat ) > nat ).

tff(func_def_2164,type,
    lG610: ( nat * nat * nat ) > nat ).

tff(func_def_2165,type,
    iG611: ( nat * nat ) > nat ).

tff(func_def_2166,type,
    iG612: ( nat * nat * nat * list(vEBT_VEBT) * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_2167,type,
    iG613: ( list(vEBT_VEBT) * nat * nat * nat * nat * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_2168,type,
    bG614: $o > $o ).

tff(func_def_2169,type,
    bG615: $o > $o ).

tff(func_def_2170,type,
    bG616: $o > $o ).

tff(func_def_2171,type,
    bG617: $o > $o ).

tff(func_def_2172,type,
    iG618: ( nat * $o * $o ) > vEBT_VEBT ).

tff(func_def_2173,type,
    iG619: ( nat * $o * $o ) > vEBT_VEBT ).

tff(func_def_2174,type,
    bG620: $o > $o ).

tff(func_def_2175,type,
    bG621: $o > $o ).

tff(func_def_2176,type,
    iG622: ( nat * nat ) > nat ).

tff(func_def_2177,type,
    lG623: ( nat * nat ) > nat ).

tff(func_def_2178,type,
    lG624: ( nat * nat ) > nat ).

tff(func_def_2179,type,
    lG625: ( list(vEBT_VEBT) * nat * nat ) > option(nat) ).

tff(func_def_2180,type,
    lG626: ( vEBT_VEBT * nat * nat ) > option(nat) ).

tff(func_def_2181,type,
    iG627: ( nat * nat * vEBT_VEBT * list(vEBT_VEBT) ) > option(nat) ).

tff(func_def_2182,type,
    iG628: ( nat * nat * list(vEBT_VEBT) * vEBT_VEBT ) > option(nat) ).

tff(func_def_2183,type,
    iG629: ( list(vEBT_VEBT) * nat * nat * vEBT_VEBT ) > option(nat) ).

tff(func_def_2184,type,
    iG630: ( nat * nat * nat * list(vEBT_VEBT) * vEBT_VEBT ) > option(nat) ).

tff(func_def_2185,type,
    bG631: $o > $o ).

tff(func_def_2186,type,
    bG632: $o > $o ).

tff(func_def_2187,type,
    bG633: $o > $o ).

tff(func_def_2188,type,
    bG634: $o > $o ).

tff(func_def_2189,type,
    bG635: $o > $o ).

tff(func_def_2190,type,
    bG636: $o > $o ).

tff(func_def_2191,type,
    iG637: $o > option(nat) ).

tff(func_def_2192,type,
    bG638: $o > $o ).

tff(func_def_2193,type,
    bG639: $o > $o ).

tff(func_def_2194,type,
    lG640: ( nat * nat ) > nat ).

tff(func_def_2195,type,
    lG641: ( nat * nat ) > nat ).

tff(func_def_2196,type,
    lG642: ( list(vEBT_VEBT) * nat * nat ) > option(nat) ).

tff(func_def_2197,type,
    lG643: ( vEBT_VEBT * nat * nat ) > option(nat) ).

tff(func_def_2198,type,
    iG644: ( nat * nat ) > option(nat) ).

tff(func_def_2199,type,
    iG645: ( nat * nat * vEBT_VEBT * list(vEBT_VEBT) * nat ) > option(nat) ).

tff(func_def_2200,type,
    iG646: ( nat * nat * list(vEBT_VEBT) * vEBT_VEBT * nat ) > option(nat) ).

tff(func_def_2201,type,
    iG647: ( list(vEBT_VEBT) * nat * nat * vEBT_VEBT * nat ) > option(nat) ).

tff(func_def_2202,type,
    iG648: ( nat * nat * nat * list(vEBT_VEBT) * vEBT_VEBT * nat ) > option(nat) ).

tff(func_def_2203,type,
    bG649: $o > $o ).

tff(func_def_2204,type,
    bG650: $o > $o ).

tff(func_def_2205,type,
    iG651: $o > option(nat) ).

tff(func_def_2206,type,
    iG652: ( $o * $o ) > option(nat) ).

tff(func_def_2207,type,
    bG653: $o > $o ).

tff(func_def_2208,type,
    bG654: $o > $o ).

tff(func_def_2209,type,
    bG655: $o > $o ).

tff(func_def_2210,type,
    bG656: $o > $o ).

tff(func_def_2211,type,
    iG657: $o > option(nat) ).

tff(func_def_2212,type,
    bG658: $o > $o ).

tff(func_def_2213,type,
    bG659: $o > $o ).

tff(func_def_2214,type,
    bG660: $o > $o ).

tff(func_def_2215,type,
    bG661: $o > $o ).

tff(func_def_2216,type,
    bG662: $o > $o ).

tff(func_def_2217,type,
    bG663: $o > $o ).

tff(func_def_2218,type,
    lG664: ( nat * list(vEBT_VEBT) * vEBT_VEBT * nat * nat ) > nat ).

tff(func_def_2219,type,
    iG665: ( nat * nat * vEBT_VEBT * list(vEBT_VEBT) * nat ) > nat ).

tff(func_def_2220,type,
    lG666: ( nat * list(vEBT_VEBT) * vEBT_VEBT * nat * nat ) > nat ).

tff(func_def_2221,type,
    iG667: ( nat * nat * vEBT_VEBT * list(vEBT_VEBT) * nat ) > nat ).

tff(func_def_2222,type,
    lG668: ( list(vEBT_VEBT) * vEBT_VEBT * nat * nat * nat ) > nat ).

tff(func_def_2223,type,
    lG669: ( list(vEBT_VEBT) * vEBT_VEBT * nat * nat * nat ) > vEBT_VEBT ).

tff(func_def_2224,type,
    lG670: ( list(vEBT_VEBT) * vEBT_VEBT * nat * nat * nat ) > list(vEBT_VEBT) ).

tff(func_def_2225,type,
    lG671: ( list(vEBT_VEBT) * vEBT_VEBT * nat * nat * nat ) > vEBT_VEBT ).

tff(func_def_2226,type,
    lG672: ( list(vEBT_VEBT) * vEBT_VEBT * nat * nat * nat ) > option(nat) ).

tff(func_def_2227,type,
    iG673: ( nat * nat * nat * vEBT_VEBT * list(vEBT_VEBT) ) > nat ).

tff(func_def_2228,type,
    iG674: ( nat * nat * nat * vEBT_VEBT * list(vEBT_VEBT) * nat ) > nat ).

tff(func_def_2229,type,
    iG675: ( nat * nat * nat * vEBT_VEBT * list(vEBT_VEBT) * nat ) > nat ).

tff(func_def_2230,type,
    iG676: ( nat * nat * nat * vEBT_VEBT * list(vEBT_VEBT) * nat ) > vEBT_VEBT ).

tff(func_def_2231,type,
    iG677: ( list(vEBT_VEBT) * nat * nat * nat * vEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_2232,type,
    iG678: ( nat * nat * nat * vEBT_VEBT * list(vEBT_VEBT) * nat ) > vEBT_VEBT ).

tff(func_def_2233,type,
    iG679: ( nat * nat * nat * vEBT_VEBT * list(vEBT_VEBT) * nat ) > vEBT_VEBT ).

tff(func_def_2234,type,
    bG680: $o > $o ).

tff(func_def_2235,type,
    bG681: $o > $o ).

tff(func_def_2236,type,
    bG682: $o > $o ).

tff(func_def_2237,type,
    bG683: $o > $o ).

tff(func_def_2238,type,
    bG684: $o > $o ).

tff(func_def_2239,type,
    bG685: $o > $o ).

tff(func_def_2240,type,
    bG686: $o > $o ).

tff(func_def_2241,type,
    bG687: $o > $o ).

tff(func_def_2242,type,
    bG688: $o > $o ).

tff(func_def_2243,type,
    bG689: $o > $o ).

tff(func_def_2244,type,
    bG690: $o > $o ).

tff(func_def_2245,type,
    bG691: $o > $o ).

tff(func_def_2246,type,
    bG692: $o > $o ).

tff(func_def_2247,type,
    bG693: $o > $o ).

tff(func_def_2248,type,
    bG694: $o > $o ).

tff(func_def_2249,type,
    bG695: $o > $o ).

tff(func_def_2250,type,
    iG696: ( int * int ) > int ).

tff(func_def_2251,type,
    iG697: 
      !>[X0: $tType] : ( ( X0 * X0 ) > X0 ) ).

tff(func_def_2252,type,
    lG698: ( nat * nat ) > nat ).

tff(func_def_2253,type,
    iG699: ( nat * nat ) > nat ).

tff(func_def_2254,type,
    lG700: ( nat * nat * nat ) > nat ).

tff(func_def_2255,type,
    iG701: ( nat * nat ) > nat ).

tff(func_def_2256,type,
    iG702: ( nat * nat * nat * list(vEBT_VEBT) * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_2257,type,
    iG703: ( list(vEBT_VEBT) * nat * nat * nat * nat * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_2258,type,
    bG704: $o > $o ).

tff(func_def_2259,type,
    bG705: $o > $o ).

tff(func_def_2260,type,
    bG706: $o > $o ).

tff(func_def_2261,type,
    bG707: $o > $o ).

tff(func_def_2262,type,
    bG708: $o > $o ).

tff(func_def_2263,type,
    bG709: $o > $o ).

tff(func_def_2264,type,
    iG710: ( nat * $o * $o ) > vEBT_VEBT ).

tff(func_def_2265,type,
    iG711: ( nat * $o * $o ) > vEBT_VEBT ).

tff(func_def_2266,type,
    bG712: $o > $o ).

tff(func_def_2267,type,
    bG713: $o > $o ).

tff(func_def_2268,type,
    lG714: ( nat * nat ) > nat ).

tff(func_def_2269,type,
    iG715: ( list(vEBT_VEBT) * nat * nat ) > $o ).

tff(func_def_2270,type,
    iG716: ( nat * nat * nat * list(vEBT_VEBT) ) > $o ).

tff(func_def_2271,type,
    iG717: ( nat * nat * nat * nat * list(vEBT_VEBT) ) > $o ).

tff(func_def_2272,type,
    iG718: ( nat * nat * nat * nat * list(vEBT_VEBT) ) > $o ).

tff(func_def_2273,type,
    iG719: ( nat * nat * nat * nat * list(vEBT_VEBT) ) > $o ).

tff(func_def_2274,type,
    bG720: $o > $o ).

tff(func_def_2275,type,
    bG721: $o > $o ).

tff(func_def_2276,type,
    bG722: $o > $o ).

tff(func_def_2277,type,
    bG723: $o > $o ).

tff(func_def_2278,type,
    iG724: ( nat * $o ) > $o ).

tff(func_def_2279,type,
    iG725: ( nat * $o * $o ) > $o ).

tff(func_def_2280,type,
    bG726: $o > $o ).

tff(func_def_2281,type,
    bG727: $o > $o ).

tff(func_def_2282,type,
    lG728: ( nat * nat ) > nat ).

tff(func_def_2283,type,
    bG736: $o > $o ).

tff(func_def_2284,type,
    bG737: $o > $o ).

tff(func_def_2285,type,
    bG738: $o > $o ).

tff(func_def_2286,type,
    bG739: $o > $o ).

tff(func_def_2287,type,
    lG740: ( nat * nat ) > nat ).

tff(func_def_2288,type,
    bG741: ( nat * nat * list(vEBT_VEBT) ) > $o ).

tff(func_def_2289,type,
    iG742: ( list(vEBT_VEBT) * nat * nat ) > $o ).

tff(func_def_2290,type,
    bG743: $o > $o ).

tff(func_def_2291,type,
    bG744: $o > $o ).

tff(func_def_2292,type,
    bG745: $o > $o ).

tff(func_def_2293,type,
    bG746: $o > $o ).

tff(func_def_2294,type,
    iG747: ( nat * $o ) > $o ).

tff(func_def_2295,type,
    iG748: ( nat * $o * $o ) > $o ).

tff(func_def_2296,type,
    bG749: $o > $o ).

tff(func_def_2297,type,
    bG750: $o > $o ).

tff(func_def_2298,type,
    lG751: ( nat * nat ) > nat ).

tff(func_def_2299,type,
    bG755: $o > $o ).

tff(func_def_2300,type,
    bG756: $o > $o ).

tff(func_def_2301,type,
    bG757: $o > $o ).

tff(func_def_2302,type,
    bG758: $o > $o ).

tff(func_def_2303,type,
    lG759: ( nat * nat ) > nat ).

tff(func_def_2304,type,
    bG763: $o > $o ).

tff(func_def_2305,type,
    bG764: $o > $o ).

tff(func_def_2306,type,
    bG765: $o > $o ).

tff(func_def_2307,type,
    bG766: $o > $o ).

tff(func_def_2308,type,
    lG767: ( nat * nat ) > nat ).

tff(func_def_2309,type,
    bG775: $o > $o ).

tff(func_def_2310,type,
    bG776: $o > $o ).

tff(func_def_2311,type,
    bG777: $o > $o ).

tff(func_def_2312,type,
    bG778: $o > $o ).

tff(func_def_2313,type,
    lG779: ( nat * nat ) > nat ).

tff(func_def_2314,type,
    bG780: ( nat * nat * list(vEBT_VEBT) ) > $o ).

tff(func_def_2315,type,
    iG781: ( list(vEBT_VEBT) * nat * nat ) > $o ).

tff(func_def_2316,type,
    lG782: ( nat * nat ) > nat ).

tff(func_def_2317,type,
    bG784: $o > $o ).

tff(func_def_2318,type,
    bG785: $o > $o ).

tff(func_def_2319,type,
    bG786: $o > $o ).

tff(func_def_2320,type,
    bG787: $o > $o ).

tff(func_def_2321,type,
    lG788: ( nat * nat ) > nat ).

tff(func_def_2322,type,
    lG790: ( nat * nat ) > nat ).

tff(func_def_2323,type,
    lG792: ( nat * nat ) > nat ).

tff(func_def_2324,type,
    lG794: ( nat * nat ) > nat ).

tff(func_def_2325,type,
    bG796: $o > $o ).

tff(func_def_2326,type,
    bG797: $o > $o ).

tff(func_def_2327,type,
    bG798: $o > $o ).

tff(func_def_2328,type,
    bG799: $o > $o ).

tff(func_def_2329,type,
    iG800: 
      !>[X0: $tType] : ( ( nat * fun(nat,X0) * X0 ) > X0 ) ).

tff(func_def_2330,type,
    iG803: 
      !>[X0: $tType] : ( X0 > X0 ) ).

tff(func_def_2331,type,
    iG804: 
      !>[X0: $tType] : ( ( X0 * X0 ) > X0 ) ).

tff(func_def_2332,type,
    lG805: nat > nat ).

tff(func_def_2333,type,
    lG806: nat > nat ).

tff(func_def_2334,type,
    iG807: nat > vEBT_VEBT ).

tff(func_def_2335,type,
    bG808: $o > $o ).

tff(func_def_2336,type,
    bG809: $o > $o ).

tff(func_def_2337,type,
    bG810: $o > $o ).

tff(func_def_2338,type,
    bG811: $o > $o ).

tff(func_def_2339,type,
    bG812: $o > $o ).

tff(func_def_2340,type,
    bG813: $o > $o ).

tff(func_def_2341,type,
    bG814: $o > $o ).

tff(func_def_2342,type,
    bG815: $o > $o ).

tff(func_def_2343,type,
    bG816: $o > $o ).

tff(func_def_2344,type,
    bG817: nat > $o ).

tff(func_def_2345,type,
    bG818: $o > $o ).

tff(func_def_2346,type,
    bG819: $o > $o ).

tff(func_def_2347,type,
    bG820: nat > $o ).

tff(func_def_2348,type,
    bG821: nat > $o ).

tff(func_def_2349,type,
    bG822: ( $o * $o ) > $o ).

tff(func_def_2350,type,
    bG823: $o > $o ).

tff(func_def_2351,type,
    bG824: $o > $o ).

tff(func_def_2352,type,
    bG825: $o > $o ).

tff(func_def_2353,type,
    bG826: $o > $o ).

tff(func_def_2354,type,
    bG827: $o > $o ).

tff(func_def_2355,type,
    bG828: $o > $o ).

tff(func_def_2356,type,
    bG829: $o > $o ).

tff(func_def_2357,type,
    iG830: 
      !>[X0: $tType] : ( $o > X0 ) ).

tff(func_def_2358,type,
    bG831: 
      !>[X0: $tType] : ( X0 > $o ) ).

tff(func_def_2359,type,
    bG832: $o > $o ).

tff(func_def_2360,type,
    bG833: $o > $o ).

tff(func_def_2361,type,
    bG834: 
      !>[X0: $tType] : ( ( nat * nat ) > $o ) ).

tff(func_def_2362,type,
    lG835: nat > nat ).

tff(func_def_2363,type,
    lG836: nat > nat ).

tff(func_def_2364,type,
    iG837: nat > vEBT_VEBT ).

tff(func_def_2365,type,
    iG838: 
      !>[X0: $tType] : ( ( nat * X0 ) > X0 ) ).

tff(func_def_2366,type,
    lG839: nat > nat ).

tff(func_def_2367,type,
    lG840: nat > nat ).

tff(func_def_2368,type,
    iG841: nat > vEBT_VEBT ).

tff(func_def_2369,type,
    iG842: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * X1 * fun(X1,X0) ) > X0 ) ).

tff(func_def_2370,type,
    iG843: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * X1 * fun(X1,X0) ) > X0 ) ).

tff(func_def_2371,type,
    iG844: 
      !>[X0: $tType] : ( ( num * num ) > X0 ) ).

tff(func_def_2372,type,
    iG845: 
      !>[X0: $tType] : ( ( num * num ) > X0 ) ).

tff(func_def_2373,type,
    iG846: 
      !>[X0: $tType] : ( ( num * num ) > X0 ) ).

tff(func_def_2374,type,
    iG851: ( int * int ) > int ).

tff(func_def_2375,type,
    iG852: ( int * int ) > int ).

tff(func_def_2376,type,
    iG853: 
      !>[X0: $tType] : ( ( X0 * X0 * X0 ) > $o ) ).

tff(func_def_2377,type,
    iG854: 
      !>[X0: $tType] : ( ( X0 * X0 * X0 ) > $o ) ).

tff(func_def_2378,type,
    iG855: 
      !>[X0: $tType] : ( ( X0 * X0 * X0 ) > $o ) ).

tff(func_def_2379,type,
    iG856: 
      !>[X0: $tType] : ( ( X0 * X0 * X0 ) > $o ) ).

tff(func_def_2380,type,
    iG859: 
      !>[X0: $tType] : ( ( X0 * X0 * X0 ) > X0 ) ).

tff(func_def_2381,type,
    iG860: 
      !>[X0: $tType] : ( ( X0 * X0 * X0 ) > X0 ) ).

tff(func_def_2382,type,
    iG861: 
      !>[X0: $tType] : ( ( X0 * X0 * X0 ) > X0 ) ).

tff(func_def_2383,type,
    iG862: 
      !>[X0: $tType] : ( ( X0 * X0 * X0 ) > $o ) ).

tff(func_def_2384,type,
    iG863: 
      !>[X0: $tType] : ( ( X0 * X0 * X0 ) > $o ) ).

tff(func_def_2385,type,
    iG864: 
      !>[X0: $tType] : ( ( X0 * X0 * X0 ) > $o ) ).

tff(func_def_2386,type,
    iG865: 
      !>[X0: $tType] : ( ( X0 * X0 * X0 ) > $o ) ).

tff(func_def_2387,type,
    iG866: 
      !>[X0: $tType] : ( ( X0 * num * X0 ) > $o ) ).

tff(func_def_2388,type,
    iG867: 
      !>[X0: $tType] : ( ( X0 * num * X0 ) > $o ) ).

tff(func_def_2389,type,
    iG868: 
      !>[X0: $tType] : ( ( X0 * num * X0 ) > $o ) ).

tff(func_def_2390,type,
    iG869: 
      !>[X0: $tType] : ( ( X0 * num * X0 ) > $o ) ).

tff(func_def_2391,type,
    iG870: 
      !>[X0: $tType] : ( ( nat * X0 ) > X0 ) ).

tff(func_def_2392,type,
    iG871: ( int * int ) > int ).

tff(func_def_2393,type,
    iG872: ( int * int ) > int ).

tff(func_def_2394,type,
    iG873: ( int * int ) > int ).

tff(func_def_2395,type,
    iG874: ( int * int ) > int ).

tff(func_def_2396,type,
    iG875: 
      !>[X0: $tType] : ( ( X0 * num * X0 ) > $o ) ).

tff(func_def_2397,type,
    iG876: 
      !>[X0: $tType] : ( ( X0 * num * X0 ) > $o ) ).

tff(func_def_2398,type,
    iG877: 
      !>[X0: $tType] : ( ( X0 * num * X0 ) > $o ) ).

tff(func_def_2399,type,
    iG878: 
      !>[X0: $tType] : ( ( X0 * num * X0 ) > $o ) ).

tff(func_def_2400,type,
    iG879: 
      !>[X0: $tType] : ( nat > X0 ) ).

tff(func_def_2401,type,
    iG880: ( nat * nat ) > product_prod(nat,nat) ).

tff(func_def_2402,type,
    iG881: 
      !>[X0: $tType] : ( ( nat * nat * fun(nat,X0) ) > X0 ) ).

tff(func_def_2403,type,
    iG882: 
      !>[X0: $tType] : ( ( set(nat) * fun(nat,X0) ) > X0 ) ).

tff(func_def_2404,type,
    iG883: 
      !>[X0: $tType] : ( ( set(nat) * fun(nat,X0) * fun(nat,X0) ) > X0 ) ).

tff(func_def_2405,type,
    iG884: 
      !>[X0: $tType] : ( ( num * num ) > product_prod(X0,X0) ) ).

tff(func_def_2406,type,
    iG885: 
      !>[X0: $tType] : ( ( num * num ) > product_prod(X0,X0) ) ).

tff(func_def_2407,type,
    iG886: real > real ).

tff(func_def_2408,type,
    iG887: 
      !>[X0: $tType] : ( X0 > X0 ) ).

tff(func_def_2409,type,
    iG888: 
      !>[X0: $tType] : ( X0 > X0 ) ).

tff(func_def_2410,type,
    lG889: 
      !>[X0: $tType] : ( num > X0 ) ).

tff(func_def_2411,type,
    lG890: 
      !>[X0: $tType] : ( ( X0 * num ) > X0 ) ).

tff(func_def_2412,type,
    iG891: 
      !>[X0: $tType] : ( ( nat * nat * fun(nat,X0) ) > X0 ) ).

tff(func_def_2413,type,
    iG892: 
      !>[X0: $tType] : ( ( num * num ) > product_prod(X0,X0) ) ).

tff(func_def_2414,type,
    bG893: $o > $o ).

tff(func_def_2415,type,
    iG894: int > int ).

tff(func_def_2416,type,
    iG895: 
      !>[X0: $tType] : ( ( X0 * nat * nat ) > X0 ) ).

tff(func_def_2417,type,
    iG896: 
      !>[X0: $tType] : ( ( nat * nat * X0 ) > X0 ) ).

tff(func_def_2418,type,
    lG897: 
      !>[X0: $tType] : ( int > X0 ) ).

tff(func_def_2419,type,
    iG898: 
      !>[X0: $tType] : ( int > X0 ) ).

tff(func_def_2420,type,
    iG899: 
      !>[X0: $tType] : ( int > X0 ) ).

tff(func_def_2421,type,
    iG900: 
      !>[X0: $tType] : ( int > X0 ) ).

tff(func_def_2422,type,
    bG901: $o > $o ).

tff(func_def_2423,type,
    bG902: $o > $o ).

tff(func_def_2424,type,
    iG903: ( nat * nat ) > int ).

tff(func_def_2425,type,
    iG904: 
      !>[X0: $tType] : ( ( X0 * nat * nat ) > X0 ) ).

tff(func_def_2426,type,
    iG905: 
      !>[X0: $tType] : ( nat > X0 ) ).

tff(func_def_2427,type,
    iG906: 
      !>[X0: $tType] : ( ( X0 * nat ) > X0 ) ).

tff(func_def_2428,type,
    iG907: int > real ).

tff(func_def_2429,type,
    iG908: 
      !>[X0: $tType] : ( nat > X0 ) ).

tff(func_def_2430,type,
    iG909: nat > real ).

tff(func_def_2431,type,
    iG910: nat > real ).

tff(func_def_2432,type,
    iG911: 
      !>[X0: $tType] : ( nat > X0 ) ).

tff(func_def_2433,type,
    iG912: 
      !>[X0: $tType] : ( ( nat * X0 ) > X0 ) ).

tff(func_def_2434,type,
    iG913: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * X1 * fun(X1,X0) ) > X0 ) ).

tff(func_def_2435,type,
    iG914: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * X1 * fun(X1,X0) ) > X0 ) ).

tff(func_def_2436,type,
    iG915: 
      !>[X0: $tType] : ( ( nat * nat * fun(nat,X0) ) > X0 ) ).

tff(func_def_2437,type,
    iG916: 
      !>[X0: $tType] : ( ( nat * nat * X0 * fun(nat,fun(X0,X0)) ) > X0 ) ).

tff(func_def_2438,type,
    iG917: 
      !>[X0: $tType] : ( ( nat * nat * X0 * fun(nat,fun(X0,X0)) ) > X0 ) ).

tff(func_def_2439,type,
    iG918: ( nat * nat ) > nat ).

tff(func_def_2440,type,
    iG919: ( nat * nat ) > nat ).

tff(func_def_2441,type,
    iG920: 
      !>[X0: $tType] : ( ( nat * X0 ) > X0 ) ).

tff(func_def_2442,type,
    iG923: 
      !>[X0: $tType] : ( ( X0 * nat ) > X0 ) ).

tff(func_def_2443,type,
    iG924: 
      !>[X0: $tType] : ( X0 > X0 ) ).

tff(func_def_2444,type,
    iG925: 
      !>[X0: $tType] : ( X0 > int ) ).

tff(func_def_2445,type,
    iG926: 
      !>[X0: $tType] : ( ( X0 * X0 ) > X0 ) ).

tff(func_def_2446,type,
    iG927: 
      !>[X0: $tType] : ( X0 > int ) ).

tff(func_def_2447,type,
    iG928: 
      !>[X0: $tType] : ( ( X0 * X0 ) > X0 ) ).

tff(func_def_2448,type,
    iG929: 
      !>[X0: $tType] : ( ( X0 * X0 ) > int ) ).

tff(func_def_2449,type,
    bG930: ( nat * nat ) > $o ).

tff(func_def_2450,type,
    iG931: ( int * int * nat * nat ) > int ).

tff(func_def_2451,type,
    iG932: ( int * int * nat * nat ) > int ).

tff(func_def_2452,type,
    bG933: 
      !>[X0: $tType] : ( X0 > $o ) ).

tff(func_def_2453,type,
    iG934: 
      !>[X0: $tType] : ( X0 > X0 ) ).

tff(func_def_2454,type,
    iG935: 
      !>[X0: $tType] : ( X0 > X0 ) ).

tff(func_def_2455,type,
    iG936: 
      !>[X0: $tType] : ( X0 > X0 ) ).

tff(func_def_2456,type,
    iG937: int > int ).

tff(func_def_2457,type,
    iG938: int > int ).

tff(func_def_2458,type,
    iG939: 
      !>[X0: $tType] : ( X0 > real ) ).

tff(func_def_2459,type,
    bG940: ( int * int ) > $o ).

tff(func_def_2460,type,
    bG941: ( nat * nat ) > $o ).

tff(func_def_2461,type,
    iG942: ( int * int * nat * nat ) > int ).

tff(func_def_2462,type,
    iG943: ( int * int * nat * nat ) > int ).

tff(func_def_2463,type,
    iG944: real > real ).

tff(func_def_2464,type,
    iG945: real > real ).

tff(func_def_2465,type,
    iG946: 
      !>[X0: $tType] : ( ( $o * X0 * X0 ) > X0 ) ).

tff(func_def_2466,type,
    bG947: $o > $o ).

tff(func_def_2467,type,
    bG948: ( int * int ) > $o ).

tff(func_def_2468,type,
    iG949: ( int * int ) > int ).

tff(func_def_2469,type,
    iG950: ( int * int ) > int ).

tff(func_def_2470,type,
    bG951: ( int * int ) > $o ).

tff(func_def_2471,type,
    iG952: ( int * int ) > int ).

tff(func_def_2472,type,
    iG953: ( int * int ) > int ).

tff(func_def_2473,type,
    iG954: ( nat * nat ) > nat ).

tff(func_def_2474,type,
    lG955: ( int * int ) > int ).

tff(func_def_2475,type,
    iG956: ( int * int ) > nat ).

tff(func_def_2476,type,
    iG957: ( int * int ) > nat ).

tff(func_def_2477,type,
    iG958: 
      !>[X0: $tType] : ( int > X0 ) ).

tff(func_def_2478,type,
    iG959: ( int * real ) > real ).

tff(func_def_2479,type,
    iG960: ( int * real ) > real ).

tff(func_def_2480,type,
    iG961: complex > real ).

tff(func_def_2481,type,
    iG962: 
      !>[X0: $tType] : ( ( nat * X0 ) > X0 ) ).

tff(func_def_2482,type,
    iG963: rat > rat ).

tff(func_def_2483,type,
    iG964: rat > rat ).

tff(func_def_2484,type,
    iG965: rat > rat ).

tff(func_def_2485,type,
    iG966: 
      !>[X0: $tType] : ( ( nat * nat ) > fun(X0,X0) ) ).

tff(func_def_2486,type,
    iG967: 
      !>[X0: $tType] : ( ( nat * nat * X0 ) > X0 ) ).

tff(func_def_2487,type,
    iG968: 
      !>[X0: $tType] : ( ( nat * nat * X0 ) > X0 ) ).

tff(func_def_2488,type,
    iG969: 
      !>[X0: $tType] : ( ( nat * nat * X0 ) > X0 ) ).

tff(func_def_2489,type,
    iG970: 
      !>[X0: $tType] : ( ( X0 * nat ) > X0 ) ).

tff(func_def_2490,type,
    iG971: ( int * int ) > int ).

tff(func_def_2491,type,
    iG972: ( int * int ) > int ).

tff(func_def_2492,type,
    iG973: ( int * int ) > int ).

tff(func_def_2493,type,
    bG974: $o > $o ).

tff(func_def_2494,type,
    iG975: 
      !>[X0: $tType] : ( ( nat * X0 ) > fun(nat,fun(X0,X0)) ) ).

tff(func_def_2495,type,
    bG976: 
      !>[X0: $tType] : ( X0 > $o ) ).

tff(func_def_2496,type,
    iG977: 
      !>[X0: $tType] : ( ( nat * X0 * X0 ) > $o ) ).

tff(func_def_2497,type,
    bG978: 
      !>[X0: $tType] : ( X0 > $o ) ).

tff(func_def_2498,type,
    iG979: 
      !>[X0: $tType] : ( ( nat * X0 ) > $o ) ).

tff(func_def_2499,type,
    bG980: ( int * int ) > $o ).

tff(func_def_2500,type,
    bG981: ( nat * int ) > $o ).

tff(func_def_2501,type,
    bG982: ( int * int ) > $o ).

tff(func_def_2502,type,
    bG983: ( int * int ) > $o ).

tff(func_def_2503,type,
    iG984: ( int * int ) > int ).

tff(func_def_2504,type,
    bG985: ( int * int ) > $o ).

tff(func_def_2505,type,
    bG986: ( int * int ) > $o ).

tff(func_def_2506,type,
    iG987: ( int * int ) > int ).

tff(func_def_2507,type,
    iG988: ( int * int ) > int ).

tff(func_def_2508,type,
    iG989: ( int * int ) > int ).

tff(func_def_2509,type,
    iG990: ( int * int ) > int ).

tff(func_def_2510,type,
    iG991: 
      !>[X0: $tType] : ( ( set(X0) * X0 * set(X0) ) > set(X0) ) ).

tff(func_def_2511,type,
    iG992: 
      !>[X0: $tType] : ( ( X0 * fun(X0,$o) ) > set(X0) ) ).

tff(func_def_2512,type,
    iG993: 
      !>[X0: $tType] : ( ( X0 * fun(X0,$o) ) > set(X0) ) ).

tff(func_def_2513,type,
    iG994: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * X1 * fun(X1,X0) ) > X0 ) ).

tff(func_def_2514,type,
    iG995: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * X1 * fun(X1,X0) ) > X0 ) ).

tff(func_def_2515,type,
    iG996: 
      !>[X0: $tType] : ( ( set(X0) * X0 * set(X0) ) > $o ) ).

tff(func_def_2516,type,
    iG997: 
      !>[X0: $tType] : ( ( set(X0) * X0 * set(X0) ) > $o ) ).

tff(func_def_2517,type,
    iG998: 
      !>[X0: $tType] : ( ( set(X0) * X0 * set(X0) ) > $o ) ).

tff(func_def_2518,type,
    iG999: 
      !>[X0: $tType] : ( ( nat * X0 ) > set(X0) ) ).

tff(func_def_2519,type,
    iG1000: 
      !>[X0: $tType] : ( ( set(X0) * X0 * fun(X0,nat) ) > nat ) ).

tff(func_def_2520,type,
    iG1001: ( int * int ) > set(int) ).

tff(func_def_2521,type,
    iG1002: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * X1 * fun(X1,X0) ) > X0 ) ).

tff(func_def_2522,type,
    iG1003: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * X1 * fun(X1,X0) * fun(X1,X0) ) > X0 ) ).

tff(func_def_2523,type,
    iG1004: 
      !>[X0: $tType] : ( X0 > X0 ) ).

tff(func_def_2524,type,
    iG1005: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * X1 * fun(X1,X0) * fun(X1,X0) ) > X0 ) ).

tff(func_def_2525,type,
    iG1006: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * X1 * fun(X1,X0) ) > X0 ) ).

tff(func_def_2526,type,
    iG1007: ( nat * nat ) > nat ).

tff(func_def_2527,type,
    bG1008: ( nat * nat ) > $o ).

tff(func_def_2528,type,
    bG1009: ( int * int ) > $o ).

tff(func_def_2529,type,
    bG1010: ( int * int ) > $o ).

tff(func_def_2530,type,
    bG1011: ( int * int ) > $o ).

tff(func_def_2531,type,
    iG1012: ( int * int ) > int ).

tff(func_def_2532,type,
    bG1013: ( int * int ) > $o ).

tff(func_def_2533,type,
    bG1014: ( int * int ) > $o ).

tff(func_def_2534,type,
    iG1015: ( int * int ) > int ).

tff(func_def_2535,type,
    bG1016: ( nat * nat ) > $o ).

tff(func_def_2536,type,
    iG1017: ( nat * nat ) > nat ).

tff(func_def_2537,type,
    iG1018: ( nat * nat ) > nat ).

tff(func_def_2538,type,
    bG1019: nat > $o ).

tff(func_def_2539,type,
    bG1020: nat > $o ).

tff(func_def_2540,type,
    iG1021: ( nat * nat ) > nat ).

tff(func_def_2541,type,
    iG1022: ( nat * nat ) > nat ).

tff(func_def_2542,type,
    bG1023: ( nat * nat ) > $o ).

tff(func_def_2543,type,
    bG1024: 
      !>[X0: $tType] : ( X0 > $o ) ).

tff(func_def_2544,type,
    bG1025: 
      !>[X0: $tType] : ( X0 > $o ) ).

tff(func_def_2545,type,
    iG1026: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * X1 * fun(X1,X0) ) > X0 ) ).

tff(func_def_2546,type,
    iG1027: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * X1 * fun(X1,X0) ) > X0 ) ).

tff(func_def_2547,type,
    iG1028: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,X0) ) > X0 ) ).

tff(func_def_2548,type,
    iG1029: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * X1 * fun(X1,X0) ) > X0 ) ).

tff(func_def_2549,type,
    lG1030: 
      !>[X0: $tType] : ( ( nat * X0 ) > X0 ) ).

tff(func_def_2550,type,
    iG1031: 
      !>[X0: $tType] : ( ( nat * X0 ) > X0 ) ).

tff(func_def_2551,type,
    bG1032: ( int * int ) > $o ).

tff(func_def_2552,type,
    iG1033: ( int * int ) > int ).

tff(func_def_2553,type,
    iG1034: ( int * int ) > int ).

tff(func_def_2554,type,
    iG1035: ( int * int ) > int ).

tff(func_def_2555,type,
    iG1036: ( int * int ) > int ).

tff(func_def_2556,type,
    iG1037: 
      !>[X0: $tType] : ( ( nat * nat * fun(nat,X0) ) > X0 ) ).

tff(func_def_2557,type,
    iG1038: 
      !>[X0: $tType] : ( ( nat * nat * fun(nat,X0) ) > X0 ) ).

tff(func_def_2558,type,
    iG1039: ( nat * nat ) > set(nat) ).

tff(func_def_2559,type,
    iG1040: 
      !>[X0: $tType] : ( ( nat * nat * fun(nat,X0) ) > X0 ) ).

tff(func_def_2560,type,
    iG1041: 
      !>[X0: $tType] : ( ( nat * nat * fun(nat,X0) ) > X0 ) ).

tff(func_def_2561,type,
    iG1042: ( num * nat ) > set(nat) ).

tff(func_def_2562,type,
    bG1043: $o > $o ).

tff(func_def_2563,type,
    bG1044: $o > $o ).

tff(func_def_2564,type,
    bG1045: $o > $o ).

tff(func_def_2565,type,
    bG1046: $o > $o ).

tff(func_def_2566,type,
    iG1047: code_integer > code_integer ).

tff(func_def_2567,type,
    iG1048: code_integer > code_integer ).

tff(func_def_2568,type,
    iG1049: complex > real ).

tff(func_def_2569,type,
    iG1050: complex > real ).

tff(func_def_2570,type,
    lG1051: int > code_integer ).

tff(func_def_2571,type,
    iG1052: int > code_integer ).

tff(func_def_2572,type,
    iG1053: int > code_integer ).

tff(func_def_2573,type,
    iG1054: int > code_integer ).

tff(func_def_2574,type,
    iG1055: code_integer > code_integer ).

tff(func_def_2575,type,
    lG1056: num > code_integer ).

tff(func_def_2576,type,
    iG1057: code_integer > int ).

tff(func_def_2577,type,
    iG1058: code_integer > int ).

tff(func_def_2578,type,
    bG1059: code_integer > $o ).

tff(func_def_2579,type,
    lG1060: num > code_integer ).

tff(func_def_2580,type,
    iG1061: code_integer > num ).

tff(func_def_2581,type,
    iG1062: code_integer > product_prod(code_integer,$o) ).

tff(func_def_2582,type,
    iG1063: code_integer > nat ).

tff(func_def_2583,type,
    iG1064: ( code_integer * code_integer ) > product_prod(code_integer,code_integer) ).

tff(func_def_2584,type,
    iG1065: ( code_integer * code_integer ) > product_prod(code_integer,code_integer) ).

tff(func_def_2585,type,
    iG1066: ( code_integer * code_integer ) > product_prod(code_integer,code_integer) ).

tff(func_def_2586,type,
    iG1067: ( code_integer * code_integer ) > product_prod(code_integer,code_integer) ).

tff(func_def_2587,type,
    iG1068: ( code_integer * code_integer ) > product_prod(code_integer,code_integer) ).

tff(func_def_2588,type,
    iG1069: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > nat ) ).

tff(func_def_2589,type,
    iG1070: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > nat ) ).

tff(func_def_2590,type,
    iG1071: 
      !>[X0: $tType] : ( ( nat * fun(nat,X0) * X0 ) > X0 ) ).

tff(func_def_2591,type,
    iG1072: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * X1 * X0 * fun(X1,X0) ) > X0 ) ).

tff(func_def_2592,type,
    lG1073: num > nat ).

tff(func_def_2593,type,
    lG1074: num > nat ).

tff(func_def_2594,type,
    iG1075: nat ).

tff(func_def_2595,type,
    iG1076: nat ).

tff(func_def_2596,type,
    iG1077: nat ).

tff(func_def_2597,type,
    iG1078: vEBT_VEBT ).

tff(func_def_2598,type,
    bG1079: $o > $o ).

tff(func_def_2599,type,
    bG1080: ( nat * $o ) > $o ).

tff(func_def_2600,type,
    bG1081: nat > $o ).

tff(func_def_2601,type,
    iG1083: 
      !>[X0: $tType] : ( ( nat * list(X0) * X0 ) > list(X0) ) ).

tff(func_def_2602,type,
    iG1084: 
      !>[X0: $tType] : ( ( nat * list(X0) * X0 ) > list(X0) ) ).

tff(func_def_2603,type,
    iG1085: 
      !>[X0: $tType] : ( ( X0 * X0 * list(X0) ) > nat ) ).

tff(func_def_2604,type,
    iG1086: 
      !>[X0: $tType] : ( ( list(X0) * nat * list(X0) ) > X0 ) ).

tff(func_def_2605,type,
    iG1087: 
      !>[X0: $tType] : ( ( list(X0) * nat * X0 * list(X0) ) > list(X0) ) ).

tff(func_def_2606,type,
    iG1088: 
      !>[X0: $tType] : ( ( nat * list(X0) * X0 ) > X0 ) ).

tff(func_def_2607,type,
    iG1089: 
      !>[X0: $tType] : ( ( nat * X0 ) > X0 ) ).

tff(func_def_2608,type,
    bG1090: nat > $o ).

tff(func_def_2609,type,
    iG1091: 
      !>[X0: $tType] : ( nat > list(list(X0)) ) ).

tff(func_def_2610,type,
    iG1092: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) ) > X0 ) ).

tff(func_def_2611,type,
    iG1094: ( int * int * list(int) ) > list(int) ).

tff(func_def_2612,type,
    iG1095: 
      !>[X0: $tType] : ( ( X0 * fun(X0,$o) * list(X0) ) > option(product_prod(list(X0),product_prod(X0,list(X0)))) ) ).

tff(func_def_2613,type,
    iG1096: 
      !>[X0: $tType,X1: $tType] : ( ( option(X1) * fun(X1,X0) * X0 ) > X0 ) ).

tff(func_def_2614,type,
    iG1097: ( int * int ) > int ).

tff(func_def_2615,type,
    iG1098: ( nat * nat ) > product_prod(int,int) ).

tff(func_def_2616,type,
    iG1099: ( nat * nat ) > product_prod(int,int) ).

tff(func_def_2617,type,
    bG1100: $o > $o ).

tff(func_def_2618,type,
    iG1101: ( nat * nat ) > product_prod(int,int) ).

tff(func_def_2619,type,
    bG1102: $o > $o ).

tff(func_def_2620,type,
    lG1103: product_prod(int,int) > int ).

tff(func_def_2621,type,
    lG1104: product_prod(int,int) > int ).

tff(func_def_2622,type,
    iG1105: product_prod(int,int) > product_prod(int,int) ).

tff(func_def_2623,type,
    iG1106: product_prod(int,int) > product_prod(int,int) ).

tff(func_def_2624,type,
    iG1107: ( int * int ) > list(int) ).

tff(func_def_2625,type,
    iG1108: ( int * int ) > list(int) ).

tff(func_def_2626,type,
    iG1109: ( num * nat ) > option(num) ).

tff(func_def_2627,type,
    iG1110: ( num * num ) > list(int) ).

tff(func_def_2628,type,
    iG1111: ( num * num ) > list(int) ).

tff(func_def_2629,type,
    iG1112: ( num * num ) > list(int) ).

tff(func_def_2630,type,
    iG1113: ( num * num ) > list(int) ).

tff(func_def_2631,type,
    iG1114: ( int * int ) > list(int) ).

tff(func_def_2632,type,
    iG1115: ( int * int ) > list(int) ).

tff(func_def_2633,type,
    iG1116: 
      !>[X0: $tType] : ( nat > X0 ) ).

tff(func_def_2634,type,
    iG1117: nat > num ).

tff(func_def_2635,type,
    iG1118: ( nat * nat ) > nat ).

tff(func_def_2636,type,
    iG1119: ( nat * nat ) > product_prod(nat,nat) ).

tff(func_def_2637,type,
    iG1120: ( nat * nat ) > product_prod(nat,nat) ).

tff(func_def_2638,type,
    iG1121: ( nat * nat ) > product_prod(nat,nat) ).

tff(func_def_2639,type,
    bG1122: $o > $o ).

tff(func_def_2640,type,
    bG1123: $o > $o ).

tff(func_def_2641,type,
    iG1124: $o > option(nat) ).

tff(func_def_2642,type,
    iG1125: ( $o * $o ) > option(nat) ).

tff(func_def_2643,type,
    bG1126: $o > $o ).

tff(func_def_2644,type,
    bG1127: $o > $o ).

tff(func_def_2645,type,
    bG1128: $o > $o ).

tff(func_def_2646,type,
    bG1129: $o > $o ).

tff(func_def_2647,type,
    iG1130: $o > option(nat) ).

tff(func_def_2648,type,
    iG1131: ( $o * $o ) > option(nat) ).

tff(func_def_2649,type,
    bG1132: $o > $o ).

tff(func_def_2650,type,
    bG1133: $o > $o ).

tff(func_def_2651,type,
    bG1134: $o > $o ).

tff(func_def_2652,type,
    bG1135: $o > $o ).

tff(func_def_2653,type,
    bG1136: $o > $o ).

tff(func_def_2654,type,
    bG1137: $o > $o ).

tff(func_def_2655,type,
    bG1138: $o > $o ).

tff(func_def_2656,type,
    bG1139: $o > $o ).

tff(func_def_2657,type,
    bG1140: $o > $o ).

tff(func_def_2658,type,
    bG1141: $o > $o ).

tff(func_def_2659,type,
    iG1142: ( code_integer * code_integer ) > product_prod(code_integer,code_integer) ).

tff(func_def_2660,type,
    iG1143: ( code_integer * code_integer ) > product_prod(code_integer,code_integer) ).

tff(func_def_2661,type,
    iG1144: ( code_integer * code_integer ) > product_prod(code_integer,code_integer) ).

tff(func_def_2662,type,
    iG1145: 
      !>[X0: $tType] : ( ( X0 * X0 * list(X0) ) > list(X0) ) ).

tff(func_def_2663,type,
    iG1146: 
      !>[X0: $tType] : ( ( list(X0) * X0 * list(X0) ) > list(X0) ) ).

tff(func_def_2664,type,
    iG1147: 
      !>[X0: $tType] : ( ( X0 * X0 ) > set(X0) ) ).

tff(func_def_2665,type,
    iG1148: 
      !>[X0: $tType] : ( ( list(X0) * X0 ) > nat ) ).

tff(func_def_2666,type,
    iG1149: 
      !>[X0: $tType] : ( ( X0 * X0 * list(X0) ) > list(X0) ) ).

tff(func_def_2667,type,
    iG1150: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * X0 ) > set(X0) ) ).

tff(func_def_2668,type,
    iG1151: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * X0 ) > X0 ) ).

tff(func_def_2669,type,
    iG1152: 
      !>[X0: $tType] : ( ( X0 * X0 * X0 ) > set(X0) ) ).

tff(func_def_2670,type,
    iG1153: 
      !>[X0: $tType] : ( ( X0 * X0 * X0 ) > set(X0) ) ).

tff(func_def_2671,type,
    iG1154: 
      !>[X0: $tType] : ( ( X0 * X0 * X0 ) > set(X0) ) ).

tff(func_def_2672,type,
    iG1155: 
      !>[X0: $tType] : ( ( X0 * X0 * X0 ) > set(X0) ) ).

tff(func_def_2673,type,
    iG1156: 
      !>[X0: $tType] : ( ( X0 * X0 * X0 * X0 ) > set(X0) ) ).

tff(func_def_2674,type,
    iG1157: 
      !>[X0: $tType] : ( ( X0 * X0 * X0 * X0 ) > set(X0) ) ).

tff(func_def_2675,type,
    iG1158: 
      !>[X0: $tType] : ( ( X0 * X0 * X0 * X0 ) > set(X0) ) ).

tff(func_def_2676,type,
    iG1159: 
      !>[X0: $tType] : ( ( X0 * X0 * X0 * X0 ) > set(X0) ) ).

tff(func_def_2677,type,
    iG1160: 
      !>[X0: $tType] : ( ( X0 * X0 * X0 * X0 ) > set(X0) ) ).

tff(func_def_2678,type,
    iG1161: 
      !>[X0: $tType] : ( ( X0 * X0 * X0 * X0 ) > set(X0) ) ).

tff(func_def_2679,type,
    iG1162: 
      !>[X0: $tType] : ( ( X0 * X0 * X0 * X0 ) > set(X0) ) ).

tff(func_def_2680,type,
    iG1163: 
      !>[X0: $tType] : ( ( X0 * X0 * X0 * X0 ) > set(X0) ) ).

tff(func_def_2681,type,
    iG1164: ( nat * nat ) > set(nat) ).

tff(func_def_2682,type,
    iG1165: ( nat * nat * nat ) > set(nat) ).

tff(func_def_2683,type,
    iG1166: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * set(X0) ) > set(X0) ) ).

tff(func_def_2684,type,
    iG1167: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,set(X0)) * X0 ) > set(X0) ) ).

tff(func_def_2685,type,
    iG1168: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,set(X0)) * X0 ) > set(X0) ) ).

tff(func_def_2686,type,
    iG1169: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,set(X0)) * set(X0) ) > set(X0) ) ).

tff(func_def_2687,type,
    iG1170: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * set(X0) * fun(X1,set(X0)) ) > set(X0) ) ).

tff(func_def_2688,type,
    iG1171: 
      !>[X0: $tType] : ( ( set(set(X0)) * set(X0) ) > set(X0) ) ).

tff(func_def_2689,type,
    iG1172: 
      !>[X0: $tType] : ( ( set(set(X0)) * set(X0) ) > set(X0) ) ).

tff(func_def_2690,type,
    iG1173: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,set(X0)) * set(X0) ) > set(X0) ) ).

tff(func_def_2691,type,
    iG1174: 
      !>[X0: $tType] : ( ( list(X0) * X0 ) > list(X0) ) ).

tff(func_def_2692,type,
    bG1175: $o > $o ).

tff(func_def_2693,type,
    iG1176: 
      !>[X0: $tType] : ( $o > set(X0) ) ).

tff(func_def_2694,type,
    iG1177: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * set(X0) ) > set(X0) ) ).

tff(func_def_2695,type,
    iG1178: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,set(X0)) * set(X0) ) > set(X0) ) ).

tff(func_def_2696,type,
    iG1179: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * set(X0) * fun(X1,set(X0)) ) > set(X0) ) ).

tff(func_def_2697,type,
    iG1180: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * set(X0) * fun(X1,set(X0)) ) > set(X0) ) ).

tff(func_def_2698,type,
    iG1181: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,set(X0)) * set(X0) ) > set(X0) ) ).

tff(func_def_2699,type,
    iG1182: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * X0 ) > X0 ) ).

tff(func_def_2700,type,
    iG1183: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * set(X0) * fun(X1,set(X0)) ) > set(X0) ) ).

tff(func_def_2701,type,
    bG1184: $o > $o ).

tff(func_def_2702,type,
    iG1185: 
      !>[X0: $tType,X1: $tType] : ( $o > set(product_prod(X1,X0)) ) ).

tff(func_def_2703,type,
    iG1186: real > set(real) ).

tff(func_def_2704,type,
    iG1187: ( nat * real ) > real ).

tff(func_def_2705,type,
    bG1188: 
      !>[X0: $tType] : ( X0 > $o ) ).

tff(func_def_2706,type,
    bG1189: $o > $o ).

tff(func_def_2707,type,
    bG1190: $o > $o ).

tff(func_def_2708,type,
    bG1191: $o > $o ).

tff(func_def_2709,type,
    bG1192: $o > $o ).

tff(func_def_2710,type,
    bG1193: $o > $o ).

tff(func_def_2711,type,
    bG1194: $o > $o ).

tff(func_def_2712,type,
    bG1195: $o > $o ).

tff(func_def_2713,type,
    bG1196: $o > $o ).

tff(func_def_2714,type,
    bG1197: $o > $o ).

tff(func_def_2715,type,
    bG1198: $o > $o ).

tff(func_def_2716,type,
    bG1199: $o > $o ).

tff(func_def_2717,type,
    bG1200: $o > $o ).

tff(func_def_2718,type,
    bG1201: $o > $o ).

tff(func_def_2719,type,
    bG1202: $o > $o ).

tff(func_def_2720,type,
    bG1203: $o > $o ).

tff(func_def_2721,type,
    bG1204: $o > $o ).

tff(func_def_2722,type,
    bG1205: $o > $o ).

tff(func_def_2723,type,
    bG1206: $o > $o ).

tff(func_def_2724,type,
    bG1207: $o > $o ).

tff(func_def_2725,type,
    bG1208: $o > $o ).

tff(func_def_2726,type,
    bG1209: $o > $o ).

tff(func_def_2727,type,
    bG1210: $o > $o ).

tff(func_def_2728,type,
    bG1211: $o > $o ).

tff(func_def_2729,type,
    bG1212: $o > $o ).

tff(func_def_2730,type,
    bG1213: $o > $o ).

tff(func_def_2731,type,
    bG1214: $o > $o ).

tff(func_def_2732,type,
    bG1215: $o > $o ).

tff(func_def_2733,type,
    bG1216: $o > $o ).

tff(func_def_2734,type,
    bG1217: $o > $o ).

tff(func_def_2735,type,
    bG1218: $o > $o ).

tff(func_def_2736,type,
    bG1219: $o > $o ).

tff(func_def_2737,type,
    bG1220: $o > $o ).

tff(func_def_2738,type,
    bG1222: $o > $o ).

tff(func_def_2739,type,
    iG1223: ( nat * nat ) > nat ).

tff(func_def_2740,type,
    iG1224: 
      !>[X0: $tType] : ( ( X0 * set(X0) ) > X0 ) ).

tff(func_def_2741,type,
    iG1225: 
      !>[X0: $tType] : ( ( X0 * set(X0) ) > X0 ) ).

tff(func_def_2742,type,
    bG1226: $o > $o ).

tff(func_def_2743,type,
    bG1227: $o > $o ).

tff(func_def_2744,type,
    bG1228: $o > $o ).

tff(func_def_2745,type,
    bG1229: $o > $o ).

tff(func_def_2746,type,
    bG1230: $o > $o ).

tff(func_def_2747,type,
    lG1231: nat > nat ).

tff(func_def_2748,type,
    lG1232: nat > nat ).

tff(func_def_2749,type,
    bG1233: ( vEBT_VEBT * list(vEBT_VEBT) ) > $o ).

tff(func_def_2750,type,
    bG1234: $o > $o ).

tff(func_def_2751,type,
    bG1235: $o > $o ).

tff(func_def_2752,type,
    lG1236: nat > nat ).

tff(func_def_2753,type,
    lG1237: nat > nat ).

tff(func_def_2754,type,
    bG1238: ( vEBT_VEBT * list(vEBT_VEBT) ) > $o ).

tff(func_def_2755,type,
    bG1239: $o > $o ).

tff(func_def_2756,type,
    bG1240: $o > $o ).

tff(func_def_2757,type,
    lG1241: nat > nat ).

tff(func_def_2758,type,
    lG1242: nat > nat ).

tff(func_def_2759,type,
    bG1243: ( vEBT_VEBT * list(vEBT_VEBT) ) > $o ).

tff(func_def_2760,type,
    lG1244: nat > nat ).

tff(func_def_2761,type,
    lG1245: nat > nat ).

tff(func_def_2762,type,
    bG1246: ( vEBT_VEBT * list(vEBT_VEBT) ) > $o ).

tff(func_def_2763,type,
    bG1247: $o > $o ).

tff(func_def_2764,type,
    bG1248: $o > $o ).

tff(func_def_2765,type,
    lG1249: nat > nat ).

tff(func_def_2766,type,
    lG1250: nat > nat ).

tff(func_def_2767,type,
    bG1251: ( vEBT_VEBT * list(vEBT_VEBT) ) > $o ).

tff(func_def_2768,type,
    bG1252: $o > $o ).

tff(func_def_2769,type,
    bG1253: $o > $o ).

tff(func_def_2770,type,
    bG1254: $o > $o ).

tff(func_def_2771,type,
    bG1255: $o > $o ).

tff(func_def_2772,type,
    lG1256: nat > nat ).

tff(func_def_2773,type,
    lG1257: nat > nat ).

tff(func_def_2774,type,
    bG1258: ( vEBT_VEBT * list(vEBT_VEBT) ) > $o ).

tff(func_def_2775,type,
    bG1259: $o > $o ).

tff(func_def_2776,type,
    bG1260: $o > $o ).

tff(func_def_2777,type,
    bG1261: $o > $o ).

tff(func_def_2778,type,
    bG1262: $o > $o ).

tff(func_def_2779,type,
    lG1263: nat > nat ).

tff(func_def_2780,type,
    lG1264: nat > nat ).

tff(func_def_2781,type,
    bG1265: ( vEBT_VEBT * list(vEBT_VEBT) ) > $o ).

tff(func_def_2782,type,
    bG1266: $o > $o ).

tff(func_def_2783,type,
    bG1267: $o > $o ).

tff(func_def_2784,type,
    bG1268: $o > $o ).

tff(func_def_2785,type,
    bG1269: $o > $o ).

tff(func_def_2786,type,
    iG1270: 
      !>[X0: $tType] : ( ( X0 * X0 * list(X0) ) > list(X0) ) ).

tff(func_def_2787,type,
    iG1271: 
      !>[X0: $tType] : ( ( X0 * X0 * list(X0) ) > list(X0) ) ).

tff(func_def_2788,type,
    iG1272: 
      !>[X0: $tType] : ( ( X0 * X0 ) > list(X0) ) ).

tff(func_def_2789,type,
    iG1273: 
      !>[X0: $tType] : ( ( nat * X0 ) > list(X0) ) ).

tff(func_def_2790,type,
    bG1274: $o > $o ).

tff(func_def_2791,type,
    iG1275: 
      !>[X0: $tType] : ( ( nat * X0 ) > X0 ) ).

tff(func_def_2792,type,
    iG1276: 
      !>[X0: $tType] : ( ( nat * nat ) > X0 ) ).

tff(func_def_2793,type,
    iG1277: 
      !>[X0: $tType] : ( ( nat * X0 ) > X0 ) ).

tff(func_def_2794,type,
    iG1278: ( nat * fun(nat,real) ) > real ).

tff(func_def_2795,type,
    iG1279: ( int * int ) > product_prod(int,int) ).

tff(func_def_2796,type,
    iG1280: 
      !>[X0: $tType] : ( ( nat * nat ) > X0 ) ).

tff(func_def_2797,type,
    bG1281: 
      !>[X0: $tType] : ( ( set(X0) * fun(X0,nat) ) > $o ) ).

tff(func_def_2798,type,
    bG1282: 
      !>[X0: $tType] : ( ( set(X0) * fun(X0,nat) ) > $o ) ).

tff(func_def_2799,type,
    iG1283: 
      !>[X0: $tType] : ( ( set(X0) * fun(X0,nat) ) > $o ) ).

tff(func_def_2800,type,
    lG1284: code_integer > int ).

tff(func_def_2801,type,
    iG1285: ( code_integer * code_integer ) > int ).

tff(func_def_2802,type,
    lG1286: nat > a ).

tff(func_def_2803,type,
    iG1287: ( nat * nat ) > a ).

tff(func_def_2804,type,
    bG1288: $o > $o ).

tff(func_def_2805,type,
    bG1289: $o > $o ).

tff(func_def_2806,type,
    lG1290: code_integer > num ).

tff(func_def_2807,type,
    lG1291: code_integer > num ).

tff(func_def_2808,type,
    iG1292: ( code_integer * code_integer ) > num ).

tff(func_def_2809,type,
    lG1293: code_integer > nat ).

tff(func_def_2810,type,
    lG1294: code_integer > nat ).

tff(func_def_2811,type,
    iG1295: ( code_integer * code_integer ) > nat ).

tff(func_def_2812,type,
    bG1296: int > $o ).

tff(func_def_2813,type,
    iG1297: ( nat * fun(nat,real) * fun(nat,real) ) > real ).

tff(func_def_2814,type,
    iG1298: ( nat * fun(nat,real) * fun(nat,real) ) > real ).

tff(func_def_2815,type,
    iG1299: ( code_integer * num * code_integer ) > product_prod(code_integer,code_integer) ).

tff(func_def_2816,type,
    iG1300: ( nat * num * nat ) > product_prod(nat,nat) ).

tff(func_def_2817,type,
    iG1301: ( int * num * int ) > product_prod(int,int) ).

tff(func_def_2818,type,
    iG1302: 
      !>[X0: $tType] : ( ( X0 * num * X0 ) > product_prod(X0,X0) ) ).

tff(func_def_2819,type,
    iG1303: 
      !>[X0: $tType] : ( ( set(nat) * nat * fun(nat,X0) ) > X0 ) ).

tff(func_def_2820,type,
    iG1304: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * X1 * fun(X1,X0) ) > X0 ) ).

tff(func_def_2821,type,
    iG1305: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * X1 * fun(X1,X0) ) > X0 ) ).

tff(func_def_2822,type,
    iG1306: 
      !>[X0: $tType,X1: $tType] : ( ( X1 * X1 * fun(X1,X0) ) > X0 ) ).

tff(func_def_2823,type,
    iG1307: 
      !>[X0: $tType,X1: $tType] : ( ( X1 * X1 * fun(X1,X0) ) > X0 ) ).

tff(func_def_2824,type,
    iG1308: 
      !>[X0: $tType] : ( ( nat * nat * fun(nat,X0) ) > X0 ) ).

tff(func_def_2825,type,
    iG1309: 
      !>[X0: $tType,X1: $tType] : ( ( X1 * X1 * fun(X1,X0) ) > X0 ) ).

tff(func_def_2826,type,
    iG1310: 
      !>[X0: $tType,X1: $tType] : ( ( X1 * X1 * fun(X1,X0) ) > X0 ) ).

tff(func_def_2827,type,
    iG1311: ( code_integer * code_integer * code_integer ) > product_prod(code_integer,code_integer) ).

tff(func_def_2828,type,
    iG1312: ( code_integer * code_integer * code_integer ) > product_prod(code_integer,code_integer) ).

tff(func_def_2829,type,
    iG1313: ( code_integer * code_integer * code_integer ) > product_prod(code_integer,code_integer) ).

tff(func_def_2830,type,
    iG1314: 
      !>[X0: $tType] : ( ( nat * fun(nat,$o) * fun(nat,X0) ) > X0 ) ).

tff(func_def_2831,type,
    iG1315: 
      !>[X0: $tType,X1: $tType] : ( ( X1 * fun(X1,$o) * fun(X1,X0) ) > X0 ) ).

tff(func_def_2832,type,
    iG1316: 
      !>[X0: $tType,X1: $tType] : ( ( X1 * fun(X1,$o) * fun(X1,X0) ) > X0 ) ).

tff(func_def_2833,type,
    iG1317: 
      !>[X0: $tType] : ( ( nat * nat ) > X0 ) ).

tff(func_def_2834,type,
    iG1318: ( code_integer * code_integer * code_integer ) > code_integer ).

tff(func_def_2835,type,
    bG1319: code_integer > $o ).

tff(func_def_2836,type,
    bG1320: $o > $o ).

tff(func_def_2837,type,
    bG1321: $o > $o ).

tff(func_def_2838,type,
    bG1322: $o > $o ).

tff(func_def_2839,type,
    bG1323: $o > $o ).

tff(func_def_2840,type,
    bG1324: $o > $o ).

tff(func_def_2841,type,
    bG1325: $o > $o ).

tff(func_def_2842,type,
    bG1326: $o > $o ).

tff(func_def_2843,type,
    iG1327: 
      !>[X0: $tType] : ( ( nat * nat * X0 * X0 ) > X0 ) ).

tff(func_def_2844,type,
    iG1328: 
      !>[X0: $tType] : ( ( nat * nat * X0 * X0 ) > X0 ) ).

tff(func_def_2845,type,
    iG1329: 
      !>[X0: $tType] : ( ( nat * nat * X0 * X0 ) > X0 ) ).

tff(func_def_2846,type,
    iG1330: 
      !>[X0: $tType] : ( ( nat * nat * fun(nat,X0) ) > X0 ) ).

tff(func_def_2847,type,
    iG1331: 
      !>[X0: $tType] : ( ( nat * nat * fun(nat,X0) * fun(nat,X0) ) > X0 ) ).

tff(func_def_2848,type,
    iG1332: 
      !>[X0: $tType] : ( ( nat * nat * fun(nat,X0) ) > X0 ) ).

tff(func_def_2849,type,
    iG1333: 
      !>[X0: $tType] : ( ( nat * nat * fun(nat,X0) * fun(nat,X0) ) > X0 ) ).

tff(func_def_2850,type,
    iG1334: 
      !>[X0: $tType,X1: $tType] : ( ( X1 * X1 * fun(X1,X0) * fun(X1,X0) ) > X0 ) ).

tff(func_def_2851,type,
    iG1335: 
      !>[X0: $tType] : ( ( nat * nat * fun(nat,X0) * fun(nat,X0) ) > X0 ) ).

tff(func_def_2852,type,
    iG1336: 
      !>[X0: $tType] : ( ( nat * nat * fun(nat,X0) * fun(nat,X0) ) > X0 ) ).

tff(func_def_2853,type,
    iG1337: 
      !>[X0: $tType] : ( ( set(nat) * nat * fun(nat,X0) * fun(nat,X0) ) > X0 ) ).

tff(func_def_2854,type,
    iG1338: 
      !>[X0: $tType,X1: $tType] : ( ( X1 * X1 * fun(X1,X0) * fun(X1,X0) ) > X0 ) ).

tff(func_def_2855,type,
    iG1339: 
      !>[X0: $tType,X1: $tType] : ( ( X1 * X1 * fun(X1,X0) * fun(X1,X0) ) > X0 ) ).

tff(func_def_2856,type,
    iG1340: 
      !>[X0: $tType,X1: $tType] : ( ( X1 * X1 * X0 * fun(X1,X0) ) > X0 ) ).

tff(func_def_2857,type,
    iG1341: 
      !>[X0: $tType,X1: $tType] : ( ( X1 * fun(X1,$o) * fun(X1,X0) * fun(X1,X0) ) > X0 ) ).

tff(func_def_2858,type,
    iG1342: 
      !>[X0: $tType,X1: $tType] : ( ( X1 * fun(X1,$o) * fun(X1,X0) * fun(X1,X0) ) > X0 ) ).

tff(func_def_2859,type,
    iG1343: 
      !>[X0: $tType,X1: $tType] : ( ( X1 * fun(X1,$o) * fun(X1,X0) * fun(X1,X0) ) > X0 ) ).

tff(func_def_2860,type,
    iG1344: 
      !>[X0: $tType,X1: $tType] : ( ( X1 * fun(X1,$o) * fun(X1,X0) * fun(X1,X0) ) > X0 ) ).

tff(func_def_2861,type,
    bG1345: $o > $o ).

tff(func_def_2862,type,
    bG1346: $o > $o ).

tff(func_def_2863,type,
    bG1347: $o > $o ).

tff(func_def_2864,type,
    bG1348: $o > $o ).

tff(func_def_2865,type,
    bG1349: $o > $o ).

tff(func_def_2866,type,
    bG1350: $o > $o ).

tff(func_def_2867,type,
    iG1351: 
      !>[X0: $tType] : ( ( nat * nat ) > X0 ) ).

tff(func_def_2868,type,
    iG1352: 
      !>[X0: $tType] : ( ( nat * nat * X0 ) > X0 ) ).

tff(func_def_2869,type,
    bG1353: $o > $o ).

tff(func_def_2870,type,
    bG1354: $o > $o ).

tff(func_def_2871,type,
    bG1355: $o > $o ).

tff(func_def_2872,type,
    bG1356: $o > $o ).

tff(func_def_2873,type,
    bG1357: $o > $o ).

tff(func_def_2874,type,
    bG1358: $o > $o ).

tff(func_def_2875,type,
    bG1359: $o > $o ).

tff(func_def_2876,type,
    bG1360: $o > $o ).

tff(func_def_2877,type,
    bG1361: $o > $o ).

tff(func_def_2878,type,
    bG1362: $o > $o ).

tff(func_def_2879,type,
    bG1363: $o > $o ).

tff(func_def_2880,type,
    bG1364: $o > $o ).

tff(func_def_2881,type,
    bG1365: $o > $o ).

tff(func_def_2882,type,
    bG1366: $o > $o ).

tff(func_def_2883,type,
    bG1367: $o > $o ).

tff(func_def_2884,type,
    bG1368: $o > $o ).

tff(func_def_2885,type,
    bG1369: $o > $o ).

tff(func_def_2886,type,
    bG1370: $o > $o ).

tff(func_def_2887,type,
    bG1371: $o > $o ).

tff(func_def_2888,type,
    bG1372: $o > $o ).

tff(func_def_2889,type,
    bG1373: $o > $o ).

tff(func_def_2890,type,
    bG1374: $o > $o ).

tff(func_def_2891,type,
    bG1375: $o > $o ).

tff(func_def_2892,type,
    bG1376: $o > $o ).

tff(func_def_2893,type,
    bG1377: $o > $o ).

tff(func_def_2894,type,
    bG1378: $o > $o ).

tff(func_def_2895,type,
    bG1379: $o > $o ).

tff(func_def_2896,type,
    bG1380: $o > $o ).

tff(func_def_2897,type,
    bG1381: $o > $o ).

tff(func_def_2898,type,
    bG1382: $o > $o ).

tff(func_def_2899,type,
    bG1383: $o > $o ).

tff(func_def_2900,type,
    bG1384: $o > $o ).

tff(func_def_2901,type,
    bG1386: $o > $o ).

tff(func_def_2902,type,
    bG1387: $o > $o ).

tff(func_def_2903,type,
    bG1388: $o > $o ).

tff(func_def_2904,type,
    bG1389: $o > $o ).

tff(func_def_2905,type,
    bG1390: $o > $o ).

tff(func_def_2906,type,
    bG1391: $o > $o ).

tff(func_def_2907,type,
    bG1392: $o > $o ).

tff(func_def_2908,type,
    bG1393: $o > $o ).

tff(func_def_2909,type,
    bG1394: $o > $o ).

tff(func_def_2910,type,
    bG1395: $o > $o ).

tff(func_def_2911,type,
    bG1396: $o > $o ).

tff(func_def_2912,type,
    bG1397: $o > $o ).

tff(func_def_2913,type,
    bG1398: $o > $o ).

tff(func_def_2914,type,
    bG1399: $o > $o ).

tff(func_def_2915,type,
    bG1400: $o > $o ).

tff(func_def_2916,type,
    bG1401: $o > $o ).

tff(func_def_2917,type,
    bG1402: $o > $o ).

tff(func_def_2918,type,
    bG1403: $o > $o ).

tff(func_def_2919,type,
    bG1404: $o > $o ).

tff(func_def_2920,type,
    bG1405: $o > $o ).

tff(func_def_2921,type,
    bG1406: $o > $o ).

tff(func_def_2922,type,
    bG1407: $o > $o ).

tff(func_def_2923,type,
    bG1408: $o > $o ).

tff(func_def_2924,type,
    bG1409: $o > $o ).

tff(func_def_2925,type,
    bG1410: $o > $o ).

tff(func_def_2926,type,
    bG1411: $o > $o ).

tff(func_def_2927,type,
    bG1412: $o > $o ).

tff(func_def_2928,type,
    bG1413: $o > $o ).

tff(func_def_2929,type,
    bG1414: $o > $o ).

tff(func_def_2930,type,
    bG1415: $o > $o ).

tff(func_def_2931,type,
    bG1416: $o > $o ).

tff(func_def_2932,type,
    sK1465: 
      !>[X0: $tType] : ( ( fun(X0,$o) * X0 * fun(X0,nat) * nat ) > X0 ) ).

tff(func_def_2933,type,
    sK1466: 
      !>[X0: $tType] : ( ( fun(X0,$o) * fun(X0,nat) ) > X0 ) ).

tff(func_def_2934,type,
    sK1467: fun(nat,fun(nat,$o)) > nat ).

tff(func_def_2935,type,
    sK1468: fun(nat,fun(nat,$o)) > nat ).

tff(func_def_2936,type,
    sK1469: fun(nat,fun(nat,$o)) > nat ).

tff(func_def_2937,type,
    sK1470: fun(nat,fun(nat,$o)) > nat ).

tff(func_def_2938,type,
    sK1471: fun(nat,fun(nat,$o)) > nat ).

tff(func_def_2939,type,
    sK1472: ( nat * nat ) > nat ).

tff(func_def_2940,type,
    sK1473: fun(nat,nat) > nat ).

tff(func_def_2941,type,
    sK1474: fun(nat,nat) > nat ).

tff(func_def_2942,type,
    sK1475: ( nat * nat ) > nat ).

tff(func_def_2943,type,
    sK1476: ( nat * nat ) > nat ).

tff(func_def_2944,type,
    sK1477: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) ) > nat ) ).

tff(func_def_2945,type,
    sK1478: 
      !>[X0: $tType] : ( ( fun(nat,fun(X0,$o)) * nat ) > X0 ) ).

tff(func_def_2946,type,
    sK1479: 
      !>[X0: $tType] : ( ( nat * fun(nat,fun(X0,$o)) * list(X0) ) > nat ) ).

tff(func_def_2947,type,
    sK1480: 
      !>[X0: $tType] : ( ( nat * fun(nat,fun(X0,$o)) ) > list(X0) ) ).

tff(func_def_2948,type,
    sK1481: 
      !>[X0: $tType] : ( ( nat * fun(nat,fun(X0,$o)) ) > nat ) ).

tff(func_def_2949,type,
    sK1482: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) ) > nat ) ).

tff(func_def_2950,type,
    sK1483: fun(nat,$o) > nat ).

tff(func_def_2951,type,
    sK1484: ( nat * real ) > real ).

tff(func_def_2952,type,
    sK1485: ( nat * real ) > real ).

tff(func_def_2953,type,
    sK1486: ( real * real ) > nat ).

tff(func_def_2954,type,
    sK1487: ( real * real ) > nat ).

tff(func_def_2955,type,
    sK1488: ( nat * nat ) > nat ).

tff(func_def_2956,type,
    sK1489: ( nat * nat ) > nat ).

tff(func_def_2957,type,
    sK1490: ( fun(nat,$o) * nat * nat ) > nat ).

tff(func_def_2958,type,
    sK1491: ( fun(nat,$o) * nat * nat ) > nat ).

tff(func_def_2959,type,
    sK1492: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * fun(X1,X0) ) > X1 ) ).

tff(func_def_2960,type,
    sK1493: nat ).

tff(func_def_2961,type,
    sK1494: nat ).

tff(func_def_2962,type,
    sK1495: nat ).

tff(func_def_2963,type,
    sK1496: nat ).

tff(func_def_2964,type,
    sK1497: nat ).

tff(func_def_2965,type,
    sK1498: nat ).

tff(func_def_2966,type,
    sK1499: int > nat ).

tff(func_def_2967,type,
    sK1500: ( real * real ) > nat ).

tff(func_def_2968,type,
    sK1501: int > nat ).

tff(func_def_2969,type,
    sK1502: int > nat ).

tff(func_def_2970,type,
    sK1503: int > nat ).

tff(func_def_2971,type,
    sK1504: int > nat ).

tff(func_def_2972,type,
    sK1505: int > nat ).

tff(func_def_2973,type,
    sK1506: ( int * int ) > nat ).

tff(func_def_2974,type,
    sK1507: int > nat ).

tff(func_def_2975,type,
    sK1508: int > nat ).

tff(func_def_2976,type,
    sK1509: ( real * real ) > nat ).

tff(func_def_2977,type,
    sK1510: int > nat ).

tff(func_def_2978,type,
    sK1511: int > nat ).

tff(func_def_2979,type,
    sK1512: fun(int,$o) > nat ).

tff(func_def_2980,type,
    sK1513: fun(int,$o) > nat ).

tff(func_def_2981,type,
    sK1514: int > nat ).

tff(func_def_2982,type,
    sK1515: int > nat ).

tff(func_def_2983,type,
    sK1516: fun(extended_enat,$o) > extended_enat ).

tff(func_def_2984,type,
    sK1517: rat > rat ).

tff(func_def_2985,type,
    sK1518: rat > rat ).

tff(func_def_2986,type,
    sK1519: fun(int,$o) > int ).

tff(func_def_2987,type,
    sK1520: ( fun(int,$o) * fun(int,$o) * int ) > int ).

tff(func_def_2988,type,
    sK1521: ( int * fun(int,$o) ) > int ).

tff(func_def_2989,type,
    sK1522: ( int * fun(int,$o) ) > int ).

tff(func_def_2990,type,
    sK1523: fun(int,$o) > int ).

tff(func_def_2991,type,
    sK1524: ( fun(int,$o) * fun(int,$o) * int ) > int ).

tff(func_def_2992,type,
    sK1525: ( int * fun(int,$o) ) > int ).

tff(func_def_2993,type,
    sK1526: ( int * fun(int,$o) ) > int ).

tff(func_def_2994,type,
    sK1527: ( int * fun(int,$o) ) > int ).

tff(func_def_2995,type,
    sK1528: ( int * fun(int,$o) ) > int ).

tff(func_def_2996,type,
    sK1529: ( fun(int,$o) * int ) > int ).

tff(func_def_2997,type,
    sK1530: ( fun(int,$o) * int ) > int ).

tff(func_def_2998,type,
    sK1531: ( int * fun(int,$o) ) > int ).

tff(func_def_2999,type,
    sK1532: ( int * fun(int,$o) ) > int ).

tff(func_def_3000,type,
    sK1533: ( int * fun(int,$o) ) > int ).

tff(func_def_3001,type,
    sK1534: ( int * fun(int,$o) ) > int ).

tff(func_def_3002,type,
    sK1535: ( fun(int,$o) * int * int ) > int ).

tff(func_def_3003,type,
    sK1536: ( fun(int,$o) * int * int ) > int ).

tff(func_def_3004,type,
    sK1537: ( fun(int,$o) * int * int ) > int ).

tff(func_def_3005,type,
    sK1538: ( fun(int,$o) * int * int ) > int ).

tff(func_def_3006,type,
    sK1539: 
      !>[X0: $tType] : ( ( nat * set(product_prod(X0,X0)) * fun(nat,X0) ) > nat ) ).

tff(func_def_3007,type,
    sK1540: 
      !>[X0: $tType] : ( ( X0 * X0 * nat * set(product_prod(X0,X0)) ) > fun(nat,X0) ) ).

tff(func_def_3008,type,
    sK1541: 
      !>[X0: $tType] : ( ( X0 * X0 * nat * set(product_prod(X0,X0)) ) > X0 ) ).

tff(func_def_3009,type,
    sK1542: 
      !>[X0: $tType] : ( ( X0 * X0 * nat * set(product_prod(X0,X0)) ) > nat ) ).

tff(func_def_3010,type,
    sK1543: 
      !>[X0: $tType] : ( ( X0 * X0 * nat * set(product_prod(X0,X0)) ) > X0 ) ).

tff(func_def_3011,type,
    sK1544: 
      !>[X0: $tType] : ( ( X0 * X0 * nat * set(product_prod(X0,X0)) ) > nat ) ).

tff(func_def_3012,type,
    sK1545: 
      !>[X0: $tType] : ( ( X0 * X0 * nat * set(product_prod(X0,X0)) ) > X0 ) ).

tff(func_def_3013,type,
    sK1546: 
      !>[X0: $tType] : ( ( X0 * X0 * nat * set(product_prod(X0,X0)) ) > X0 ) ).

tff(func_def_3014,type,
    sK1547: 
      !>[X0: $tType] : ( ( X0 * X0 * nat * set(product_prod(X0,X0)) ) > X0 ) ).

tff(func_def_3015,type,
    sK1548: 
      !>[X0: $tType] : ( ( nat * set(product_prod(X0,X0)) * X0 * X0 ) > X0 ) ).

tff(func_def_3016,type,
    sK1549: 
      !>[X0: $tType] : ( ( nat * fun(X0,fun(X0,$o)) * X0 * X0 ) > X0 ) ).

tff(func_def_3017,type,
    sK1550: 
      !>[X0: $tType] : ( ( nat * fun(X0,fun(X0,$o)) * X0 * X0 ) > nat ) ).

tff(func_def_3018,type,
    sK1551: 
      !>[X0: $tType] : ( ( nat * fun(X0,fun(X0,$o)) * X0 * X0 ) > X0 ) ).

tff(func_def_3019,type,
    sK1552: 
      !>[X0: $tType] : ( ( nat * fun(X0,fun(X0,$o)) * X0 * X0 ) > nat ) ).

tff(func_def_3020,type,
    sK1553: 
      !>[X0: $tType] : ( ( nat * fun(X0,fun(X0,$o)) * X0 * X0 ) > X0 ) ).

tff(func_def_3021,type,
    sK1554: 
      !>[X0: $tType] : ( ( nat * fun(X0,fun(X0,$o)) * X0 * X0 ) > X0 ) ).

tff(func_def_3022,type,
    sK1555: 
      !>[X0: $tType] : ( ( nat * fun(X0,fun(X0,$o)) * X0 * X0 ) > X0 ) ).

tff(func_def_3023,type,
    sK1556: 
      !>[X0: $tType] : ( ( nat * fun(X0,fun(X0,$o)) * fun(nat,X0) ) > nat ) ).

tff(func_def_3024,type,
    sK1557: 
      !>[X0: $tType] : ( ( nat * fun(X0,fun(X0,$o)) * X0 * X0 ) > fun(nat,X0) ) ).

tff(func_def_3025,type,
    sK1558: 
      !>[X0: $tType] : ( ( fun(nat,fun(X0,$o)) * fun(nat,fun(X0,fun(X0,$o))) ) > fun(nat,X0) ) ).

tff(func_def_3026,type,
    sK1559: 
      !>[X0: $tType] : ( ( fun(nat,fun(X0,$o)) * fun(nat,fun(X0,fun(X0,$o))) ) > X0 ) ).

tff(func_def_3027,type,
    sK1560: 
      !>[X0: $tType] : ( ( fun(nat,fun(X0,$o)) * fun(nat,fun(X0,fun(X0,$o))) ) > nat ) ).

tff(func_def_3028,type,
    sK1561: fun(nat,$o) > nat ).

tff(func_def_3029,type,
    sK1562: nat > nat ).

tff(func_def_3030,type,
    sK1563: ( real * nat ) > real ).

tff(func_def_3031,type,
    sK1564: fun(nat,$o) > nat ).

tff(func_def_3032,type,
    sK1565: fun(nat,$o) > nat ).

tff(func_def_3033,type,
    sK1566: ( fun(nat,$o) * nat * nat ) > nat ).

tff(func_def_3034,type,
    sK1567: fun(nat,$o) > nat ).

tff(func_def_3035,type,
    sK1568: ( fun(nat,$o) * nat ) > nat ).

tff(func_def_3036,type,
    sK1569: ( nat * nat ) > nat ).

tff(func_def_3037,type,
    sK1570: nat > nat ).

tff(func_def_3038,type,
    sK1571: ( nat * fun(nat,$o) ) > nat ).

tff(func_def_3039,type,
    sK1572: ( nat * fun(nat,$o) ) > nat ).

tff(func_def_3040,type,
    sK1573: nat > nat ).

tff(func_def_3041,type,
    sK1574: ( nat * fun(nat,$o) ) > nat ).

tff(func_def_3042,type,
    sK1575: ( nat * fun(nat,$o) ) > nat ).

tff(func_def_3043,type,
    sK1576: nat > nat ).

tff(func_def_3044,type,
    sK1577: fun(nat,$o) > nat ).

tff(func_def_3045,type,
    sK1578: fun(nat,fun(nat,$o)) > nat ).

tff(func_def_3046,type,
    sK1579: fun(nat,fun(nat,$o)) > nat ).

tff(func_def_3047,type,
    sK1580: fun(nat,fun(nat,$o)) > nat ).

tff(func_def_3048,type,
    sK1581: fun(nat,fun(nat,$o)) > nat ).

tff(func_def_3049,type,
    sK1582: fun(nat,$o) > nat ).

tff(func_def_3050,type,
    sK1583: nat > nat ).

tff(func_def_3051,type,
    sK1584: nat > nat ).

tff(func_def_3052,type,
    sK1585: ( nat * nat ) > nat ).

tff(func_def_3053,type,
    sK1586: ( nat * nat ) > nat ).

tff(func_def_3054,type,
    sK1587: ( nat * nat ) > nat ).

tff(func_def_3055,type,
    sK1588: ( nat * nat * fun(nat,$o) ) > nat ).

tff(func_def_3056,type,
    sK1589: ( nat * nat * fun(nat,$o) ) > nat ).

tff(func_def_3057,type,
    sK1590: fun(nat,fun(nat,$o)) > nat ).

tff(func_def_3058,type,
    sK1591: fun(nat,fun(nat,$o)) > nat ).

tff(func_def_3059,type,
    sK1592: fun(nat,fun(nat,$o)) > nat ).

tff(func_def_3060,type,
    sK1593: fun(nat,fun(nat,$o)) > nat ).

tff(func_def_3061,type,
    sK1594: fun(nat,fun(nat,$o)) > nat ).

tff(func_def_3062,type,
    sK1595: ( nat * fun(nat,$o) ) > nat ).

tff(func_def_3063,type,
    sK1596: fun(nat,$o) > nat ).

tff(func_def_3064,type,
    sK1597: nat > nat ).

tff(func_def_3065,type,
    sK1598: ( nat * fun(nat,$o) ) > nat ).

tff(func_def_3066,type,
    sK1599: ( nat * fun(nat,$o) ) > nat ).

tff(func_def_3067,type,
    sK1600: fun(nat,fun(nat,$o)) > nat ).

tff(func_def_3068,type,
    sK1601: fun(nat,fun(nat,$o)) > nat ).

tff(func_def_3069,type,
    sK1602: fun(nat,fun(nat,$o)) > nat ).

tff(func_def_3070,type,
    sK1603: fun(nat,fun(nat,$o)) > nat ).

tff(func_def_3071,type,
    sK1604: ( nat * nat ) > nat ).

tff(func_def_3072,type,
    sK1605: ( nat * fun(nat,$o) ) > nat ).

tff(func_def_3073,type,
    sK1606: ( nat * fun(nat,$o) ) > nat ).

tff(func_def_3074,type,
    sK1607: ( nat * fun(nat,$o) ) > nat ).

tff(func_def_3075,type,
    sK1608: ( nat * fun(nat,$o) ) > nat ).

tff(func_def_3076,type,
    sK1609: ( nat * nat ) > nat ).

tff(func_def_3077,type,
    sK1610: ( nat * nat ) > nat ).

tff(func_def_3078,type,
    sK1611: fun(nat,$o) > nat ).

tff(func_def_3079,type,
    sK1612: nat > nat ).

tff(func_def_3080,type,
    sK1613: nat > nat ).

tff(func_def_3081,type,
    sK1614: ( nat * fun(nat,$o) ) > nat ).

tff(func_def_3082,type,
    sK1615: ( nat * fun(nat,$o) ) > nat ).

tff(func_def_3083,type,
    sK1616: 
      !>[X0: $tType] : ( ( fun(X0,$o) * fun(X0,nat) ) > X0 ) ).

tff(func_def_3084,type,
    sK1617: 
      !>[X0: $tType] : ( ( fun(X0,$o) * fun(X0,nat) * nat ) > X0 ) ).

tff(func_def_3085,type,
    sK1618: ( fun(nat,$o) * nat ) > nat ).

tff(func_def_3086,type,
    sK1619: 
      !>[X0: $tType] : ( ( fun(X0,nat) * fun(X0,$o) ) > X0 ) ).

tff(func_def_3087,type,
    sK1620: 
      !>[X0: $tType] : ( ( fun(X0,nat) * fun(X0,$o) ) > X0 ) ).

tff(func_def_3088,type,
    sK1621: fun(nat,$o) > nat ).

tff(func_def_3089,type,
    sK1622: fun(nat,nat) > nat ).

tff(func_def_3090,type,
    sK1623: fun(nat,nat) > nat ).

tff(func_def_3091,type,
    sK1624: 
      !>[X0: $tType] : ( ( fun(X0,$o) * fun(X0,nat) ) > X0 ) ).

tff(func_def_3092,type,
    sK1625: fun(nat,$o) > nat ).

tff(func_def_3093,type,
    sK1626: fun(nat,$o) > nat ).

tff(func_def_3094,type,
    sK1627: 
      !>[X0: $tType] : ( ( fun(X0,$o) * fun(X0,nat) ) > X0 ) ).

tff(func_def_3095,type,
    sK1628: fun(nat,$o) > nat ).

tff(func_def_3096,type,
    sK1629: ( fun(nat,$o) * nat ) > nat ).

tff(func_def_3097,type,
    sK1630: fun(nat,$o) > nat ).

tff(func_def_3098,type,
    sK1631: ( fun(nat,$o) * nat ) > nat ).

tff(func_def_3099,type,
    sK1632: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) ) > list(X0) ) ).

tff(func_def_3100,type,
    sK1633: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) ) > X0 ) ).

tff(func_def_3101,type,
    sK1634: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) ) > list(X0) ) ).

tff(func_def_3102,type,
    sK1635: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) ) > X0 ) ).

tff(func_def_3103,type,
    sK1636: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) ) > list(X0) ) ).

tff(func_def_3104,type,
    sK1637: 
      !>[X0: $tType] : ( ( list(X0) * nat ) > X0 ) ).

tff(func_def_3105,type,
    sK1638: 
      !>[X0: $tType] : ( ( list(X0) * nat ) > list(X0) ) ).

tff(func_def_3106,type,
    sK1639: 
      !>[X0: $tType] : ( fun(list(X0),$o) > X0 ) ).

tff(func_def_3107,type,
    sK1640: 
      !>[X0: $tType] : ( fun(list(X0),$o) > list(X0) ) ).

tff(func_def_3108,type,
    sK1641: 
      !>[X0: $tType] : ( list(X0) > list(X0) ) ).

tff(func_def_3109,type,
    sK1642: 
      !>[X0: $tType] : ( list(X0) > X0 ) ).

tff(func_def_3110,type,
    sK1643: 
      !>[X0: $tType] : ( ( X0 * list(X0) * list(X0) * list(X0) ) > list(X0) ) ).

tff(func_def_3111,type,
    sK1644: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) * X0 * list(X0) ) > list(X0) ) ).

tff(func_def_3112,type,
    sK1645: 
      !>[X0: $tType] : ( fun(list(X0),$o) > X0 ) ).

tff(func_def_3113,type,
    sK1646: 
      !>[X0: $tType] : ( fun(list(X0),$o) > list(X0) ) ).

tff(func_def_3114,type,
    sK1647: 
      !>[X0: $tType] : ( fun(list(X0),$o) > X0 ) ).

tff(func_def_3115,type,
    sK1648: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) * list(X0) * list(X0) ) > list(X0) ) ).

tff(func_def_3116,type,
    sK1649: 
      !>[X0: $tType] : ( ( list(X0) * fun(X0,$o) ) > X0 ) ).

tff(func_def_3117,type,
    sK1650: 
      !>[X0: $tType] : ( ( fun(X0,$o) * list(X0) ) > X0 ) ).

tff(func_def_3118,type,
    sK1651: 
      !>[X0: $tType] : ( ( list(X0) * fun(X0,$o) ) > list(X0) ) ).

tff(func_def_3119,type,
    sK1652: 
      !>[X0: $tType] : ( ( list(X0) * fun(X0,$o) ) > X0 ) ).

tff(func_def_3120,type,
    sK1653: 
      !>[X0: $tType] : ( ( list(X0) * fun(X0,$o) ) > list(X0) ) ).

tff(func_def_3121,type,
    sK1654: 
      !>[X0: $tType] : ( ( list(X0) * fun(X0,$o) ) > X0 ) ).

tff(func_def_3122,type,
    sK1655: 
      !>[X0: $tType] : ( ( fun(X0,$o) * list(X0) ) > X0 ) ).

tff(func_def_3123,type,
    sK1656: 
      !>[X0: $tType] : ( ( list(X0) * fun(X0,$o) ) > list(X0) ) ).

tff(func_def_3124,type,
    sK1657: 
      !>[X0: $tType] : ( ( list(X0) * fun(X0,$o) ) > X0 ) ).

tff(func_def_3125,type,
    sK1658: 
      !>[X0: $tType] : ( ( list(X0) * fun(X0,$o) ) > list(X0) ) ).

tff(func_def_3126,type,
    sK1659: 
      !>[X0: $tType] : ( ( X0 * list(X0) ) > list(X0) ) ).

tff(func_def_3127,type,
    sK1660: 
      !>[X0: $tType] : ( ( X0 * list(X0) ) > list(X0) ) ).

tff(func_def_3128,type,
    sK1661: 
      !>[X0: $tType] : ( ( X0 * list(X0) ) > list(X0) ) ).

tff(func_def_3129,type,
    sK1662: 
      !>[X0: $tType] : ( ( X0 * list(X0) ) > list(X0) ) ).

tff(func_def_3130,type,
    sK1663: 
      !>[X0: $tType] : ( ( list(X0) * fun(X0,$o) ) > list(X0) ) ).

tff(func_def_3131,type,
    sK1664: 
      !>[X0: $tType] : ( ( list(X0) * fun(X0,$o) ) > X0 ) ).

tff(func_def_3132,type,
    sK1665: 
      !>[X0: $tType] : ( ( list(X0) * fun(X0,$o) ) > list(X0) ) ).

tff(func_def_3133,type,
    sK1666: 
      !>[X0: $tType] : ( ( list(X0) * fun(X0,$o) ) > list(X0) ) ).

tff(func_def_3134,type,
    sK1667: 
      !>[X0: $tType] : ( ( list(X0) * fun(X0,$o) ) > X0 ) ).

tff(func_def_3135,type,
    sK1668: 
      !>[X0: $tType] : ( ( list(X0) * fun(X0,$o) ) > list(X0) ) ).

tff(func_def_3136,type,
    sK1669: 
      !>[X0: $tType] : ( ( list(X0) * fun(X0,$o) ) > list(X0) ) ).

tff(func_def_3137,type,
    sK1670: 
      !>[X0: $tType] : ( ( list(X0) * fun(X0,$o) ) > X0 ) ).

tff(func_def_3138,type,
    sK1671: 
      !>[X0: $tType] : ( ( list(X0) * fun(X0,$o) ) > list(X0) ) ).

tff(func_def_3139,type,
    sK1672: 
      !>[X0: $tType] : ( ( list(X0) * fun(X0,$o) ) > list(X0) ) ).

tff(func_def_3140,type,
    sK1673: 
      !>[X0: $tType] : ( ( list(X0) * fun(X0,$o) ) > X0 ) ).

tff(func_def_3141,type,
    sK1674: 
      !>[X0: $tType] : ( ( list(X0) * fun(X0,$o) ) > list(X0) ) ).

tff(func_def_3142,type,
    sK1675: 
      !>[X0: $tType] : ( ( X0 * list(X0) ) > list(X0) ) ).

tff(func_def_3143,type,
    sK1676: 
      !>[X0: $tType] : ( ( X0 * list(X0) ) > list(X0) ) ).

tff(func_def_3144,type,
    sK1677: 
      !>[X0: $tType] : ( ( list(X0) * fun(X0,$o) ) > list(X0) ) ).

tff(func_def_3145,type,
    sK1678: 
      !>[X0: $tType] : ( ( list(X0) * fun(X0,$o) ) > X0 ) ).

tff(func_def_3146,type,
    sK1679: 
      !>[X0: $tType] : ( ( list(X0) * fun(X0,$o) ) > list(X0) ) ).

tff(func_def_3147,type,
    sK1680: 
      !>[X0: $tType] : ( ( X0 * list(X0) ) > list(X0) ) ).

tff(func_def_3148,type,
    sK1681: 
      !>[X0: $tType] : ( ( X0 * list(X0) ) > list(X0) ) ).

tff(func_def_3149,type,
    sK1682: 
      !>[X0: $tType] : ( ( list(X0) * fun(X0,$o) ) > list(X0) ) ).

tff(func_def_3150,type,
    sK1683: 
      !>[X0: $tType] : ( ( list(X0) * fun(X0,$o) ) > X0 ) ).

tff(func_def_3151,type,
    sK1684: 
      !>[X0: $tType] : ( ( list(X0) * fun(X0,$o) ) > list(X0) ) ).

tff(func_def_3152,type,
    sK1685: 
      !>[X0: $tType] : ( ( X0 * list(X0) ) > list(X0) ) ).

tff(func_def_3153,type,
    sK1686: 
      !>[X0: $tType] : ( ( X0 * list(X0) ) > list(X0) ) ).

tff(func_def_3154,type,
    sK1687: 
      !>[X0: $tType] : ( ( X0 * list(X0) ) > list(X0) ) ).

tff(func_def_3155,type,
    sK1688: 
      !>[X0: $tType] : ( ( X0 * list(X0) ) > list(X0) ) ).

tff(func_def_3156,type,
    sK1689: 
      !>[X0: $tType] : ( set(list(X0)) > nat ) ).

tff(func_def_3157,type,
    sK1690: 
      !>[X0: $tType] : ( fun(list(X0),$o) > list(X0) ) ).

tff(func_def_3158,type,
    sK1691: 
      !>[X0: $tType] : ( nat > list(X0) ) ).

tff(func_def_3159,type,
    sK1692: 
      !>[X0: $tType] : ( ( nat * list(X0) ) > X0 ) ).

tff(func_def_3160,type,
    sK1693: 
      !>[X0: $tType] : ( ( nat * list(X0) ) > list(X0) ) ).

tff(func_def_3161,type,
    sK1694: 
      !>[X0: $tType] : ( ( nat * list(X0) ) > X0 ) ).

tff(func_def_3162,type,
    sK1695: 
      !>[X0: $tType] : ( ( nat * list(X0) ) > list(X0) ) ).

tff(func_def_3163,type,
    sK1696: 
      !>[X0: $tType] : ( ( list(X0) * nat ) > X0 ) ).

tff(func_def_3164,type,
    sK1697: 
      !>[X0: $tType] : ( ( list(X0) * nat ) > list(X0) ) ).

tff(func_def_3165,type,
    sK1698: 
      !>[X0: $tType] : ( product_prod(list(X0),list(X0)) > X0 ) ).

tff(func_def_3166,type,
    sK1699: 
      !>[X0: $tType] : ( product_prod(list(X0),list(X0)) > list(X0) ) ).

tff(func_def_3167,type,
    sK1700: 
      !>[X0: $tType] : ( product_prod(list(X0),list(X0)) > list(X0) ) ).

tff(func_def_3168,type,
    sK1701: 
      !>[X0: $tType] : ( product_prod(list(X0),list(X0)) > list(X0) ) ).

tff(func_def_3169,type,
    sK1702: 
      !>[X0: $tType] : ( product_prod(list(X0),list(X0)) > X0 ) ).

tff(func_def_3170,type,
    sK1703: 
      !>[X0: $tType] : ( product_prod(list(X0),list(X0)) > list(X0) ) ).

tff(func_def_3171,type,
    sK1704: 
      !>[X0: $tType] : ( product_prod(list(X0),list(X0)) > X0 ) ).

tff(func_def_3172,type,
    sK1705: 
      !>[X0: $tType] : ( product_prod(list(X0),list(X0)) > list(X0) ) ).

tff(func_def_3173,type,
    sK1706: 
      !>[X0: $tType] : ( product_prod(list(X0),list(X0)) > list(X0) ) ).

tff(func_def_3174,type,
    sK1707: 
      !>[X0: $tType] : ( product_prod(list(X0),list(X0)) > list(X0) ) ).

tff(func_def_3175,type,
    sK1708: 
      !>[X0: $tType] : ( product_prod(fun(X0,fun(X0,$o)),list(X0)) > fun(X0,fun(X0,$o)) ) ).

tff(func_def_3176,type,
    sK1709: 
      !>[X0: $tType] : ( product_prod(fun(X0,fun(X0,$o)),list(X0)) > X0 ) ).

tff(func_def_3177,type,
    sK1710: 
      !>[X0: $tType] : ( product_prod(fun(X0,fun(X0,$o)),list(X0)) > list(X0) ) ).

tff(func_def_3178,type,
    sK1711: 
      !>[X0: $tType] : ( product_prod(fun(X0,fun(X0,$o)),list(X0)) > fun(X0,fun(X0,$o)) ) ).

tff(func_def_3179,type,
    sK1712: 
      !>[X0: $tType,X1: $tType] : ( product_prod(fun(X1,X0),list(X1)) > fun(X1,X0) ) ).

tff(func_def_3180,type,
    sK1713: 
      !>[X0: $tType,X1: $tType] : ( product_prod(fun(X1,X0),list(X1)) > fun(X1,X0) ) ).

tff(func_def_3181,type,
    sK1714: 
      !>[X0: $tType,X1: $tType] : ( product_prod(fun(X1,X0),list(X1)) > X1 ) ).

tff(func_def_3182,type,
    sK1715: 
      !>[X0: $tType,X1: $tType] : ( product_prod(fun(X1,X0),list(X1)) > X1 ) ).

tff(func_def_3183,type,
    sK1716: 
      !>[X0: $tType,X1: $tType] : ( product_prod(fun(X1,X0),list(X1)) > list(X1) ) ).

tff(func_def_3184,type,
    sK1717: 
      !>[X0: $tType,X1: $tType] : ( product_prod(fun(X1,X0),list(X1)) > fun(X1,X0) ) ).

tff(func_def_3185,type,
    sK1718: 
      !>[X0: $tType,X1: $tType] : ( product_prod(fun(X1,X0),list(X1)) > X1 ) ).

tff(func_def_3186,type,
    sK1719: 
      !>[X0: $tType] : ( product_prod(fun(X0,fun(X0,$o)),list(X0)) > fun(X0,fun(X0,$o)) ) ).

tff(func_def_3187,type,
    sK1720: 
      !>[X0: $tType] : ( product_prod(fun(X0,fun(X0,$o)),list(X0)) > X0 ) ).

tff(func_def_3188,type,
    sK1721: 
      !>[X0: $tType] : ( product_prod(fun(X0,fun(X0,$o)),list(X0)) > X0 ) ).

tff(func_def_3189,type,
    sK1722: 
      !>[X0: $tType] : ( product_prod(fun(X0,fun(X0,$o)),list(X0)) > list(X0) ) ).

tff(func_def_3190,type,
    sK1723: 
      !>[X0: $tType] : ( product_prod(fun(X0,fun(X0,$o)),list(X0)) > fun(X0,fun(X0,$o)) ) ).

tff(func_def_3191,type,
    sK1724: 
      !>[X0: $tType] : ( product_prod(fun(X0,fun(X0,$o)),list(X0)) > X0 ) ).

tff(func_def_3192,type,
    sK1725: 
      !>[X0: $tType] : ( product_prod(fun(X0,fun(X0,$o)),list(X0)) > fun(X0,fun(X0,$o)) ) ).

tff(func_def_3193,type,
    sK1726: 
      !>[X0: $tType,X1: $tType] : ( product_prod(fun(X0,X1),product_prod(list(X0),list(X1))) > fun(X0,X1) ) ).

tff(func_def_3194,type,
    sK1727: 
      !>[X0: $tType,X1: $tType] : ( product_prod(fun(X0,X1),product_prod(list(X0),list(X1))) > X0 ) ).

tff(func_def_3195,type,
    sK1728: 
      !>[X0: $tType,X1: $tType] : ( product_prod(fun(X0,X1),product_prod(list(X0),list(X1))) > list(X0) ) ).

tff(func_def_3196,type,
    sK1729: 
      !>[X0: $tType,X1: $tType] : ( product_prod(fun(X0,X1),product_prod(list(X0),list(X1))) > list(X1) ) ).

tff(func_def_3197,type,
    sK1730: 
      !>[X0: $tType,X1: $tType] : ( product_prod(fun(X0,X1),product_prod(list(X0),list(X1))) > fun(X0,X1) ) ).

tff(func_def_3198,type,
    sK1731: 
      !>[X0: $tType,X1: $tType] : ( product_prod(fun(X0,X1),product_prod(list(X0),list(X1))) > list(X1) ) ).

tff(func_def_3199,type,
    sK1732: 
      !>[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_3200,type,
    sK1733: 
      !>[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_3201,type,
    sK1734: 
      !>[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_3202,type,
    sK1735: 
      !>[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_3203,type,
    sK1736: 
      !>[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_3204,type,
    sK1737: 
      !>[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_3205,type,
    sK1738: 
      !>[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_3206,type,
    sK1739: 
      !>[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_3207,type,
    sK1740: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( fun(list(X1),fun(list(X0),fun(list(X2),$o))) > X1 ) ).

tff(func_def_3208,type,
    sK1741: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( fun(list(X1),fun(list(X0),fun(list(X2),$o))) > list(X1) ) ).

tff(func_def_3209,type,
    sK1742: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( fun(list(X1),fun(list(X0),fun(list(X2),$o))) > X0 ) ).

tff(func_def_3210,type,
    sK1743: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( fun(list(X1),fun(list(X0),fun(list(X2),$o))) > list(X0) ) ).

tff(func_def_3211,type,
    sK1744: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( fun(list(X1),fun(list(X0),fun(list(X2),$o))) > X2 ) ).

tff(func_def_3212,type,
    sK1745: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( fun(list(X1),fun(list(X0),fun(list(X2),$o))) > list(X2) ) ).

tff(func_def_3213,type,
    sK1746: 
      !>[X0: $tType,X1: $tType] : ( fun(list(X0),fun(list(X1),$o)) > X0 ) ).

tff(func_def_3214,type,
    sK1747: 
      !>[X0: $tType,X1: $tType] : ( fun(list(X0),fun(list(X1),$o)) > list(X0) ) ).

tff(func_def_3215,type,
    sK1748: 
      !>[X0: $tType,X1: $tType] : ( fun(list(X0),fun(list(X1),$o)) > X1 ) ).

tff(func_def_3216,type,
    sK1749: 
      !>[X0: $tType,X1: $tType] : ( fun(list(X0),fun(list(X1),$o)) > list(X1) ) ).

tff(func_def_3217,type,
    sK1750: 
      !>[X0: $tType] : ( list(X0) > X0 ) ).

tff(func_def_3218,type,
    sK1751: 
      !>[X0: $tType] : ( list(X0) > list(X0) ) ).

tff(func_def_3219,type,
    sK1752: 
      !>[X0: $tType] : ( list(list(X0)) > X0 ) ).

tff(func_def_3220,type,
    sK1753: 
      !>[X0: $tType] : ( list(list(X0)) > list(X0) ) ).

tff(func_def_3221,type,
    sK1754: 
      !>[X0: $tType] : ( list(list(X0)) > list(list(X0)) ) ).

tff(func_def_3222,type,
    sK1755: 
      !>[X0: $tType] : ( list(list(X0)) > list(list(X0)) ) ).

tff(func_def_3223,type,
    sK1756: 
      !>[X0: $tType] : ( list(X0) > X0 ) ).

tff(func_def_3224,type,
    sK1757: 
      !>[X0: $tType] : ( list(X0) > X0 ) ).

tff(func_def_3225,type,
    sK1758: 
      !>[X0: $tType] : ( list(X0) > list(X0) ) ).

tff(func_def_3226,type,
    sK1759: 
      !>[X0: $tType] : ( list(X0) > X0 ) ).

tff(func_def_3227,type,
    sK1760: 
      !>[X0: $tType] : ( list(X0) > X0 ) ).

tff(func_def_3228,type,
    sK1761: 
      !>[X0: $tType] : ( list(X0) > list(X0) ) ).

tff(func_def_3229,type,
    sK1762: 
      !>[X0: $tType,X1: $tType] : ( fun(list(X0),fun(list(X1),$o)) > X0 ) ).

tff(func_def_3230,type,
    sK1763: 
      !>[X0: $tType,X1: $tType] : ( fun(list(X0),fun(list(X1),$o)) > list(X0) ) ).

tff(func_def_3231,type,
    sK1764: 
      !>[X0: $tType,X1: $tType] : ( fun(list(X0),fun(list(X1),$o)) > X1 ) ).

tff(func_def_3232,type,
    sK1765: 
      !>[X0: $tType,X1: $tType] : ( fun(list(X0),fun(list(X1),$o)) > list(X1) ) ).

tff(func_def_3233,type,
    sK1766: 
      !>[X0: $tType,X1: $tType] : ( fun(list(X0),fun(list(X1),$o)) > X1 ) ).

tff(func_def_3234,type,
    sK1767: 
      !>[X0: $tType,X1: $tType] : ( fun(list(X0),fun(list(X1),$o)) > list(X1) ) ).

tff(func_def_3235,type,
    sK1768: 
      !>[X0: $tType,X1: $tType] : ( fun(list(X0),fun(list(X1),$o)) > X0 ) ).

tff(func_def_3236,type,
    sK1769: 
      !>[X0: $tType,X1: $tType] : ( fun(list(X0),fun(list(X1),$o)) > list(X0) ) ).

tff(func_def_3237,type,
    sK1770: 
      !>[X0: $tType] : ( fun(list(X0),$o) > X0 ) ).

tff(func_def_3238,type,
    sK1771: 
      !>[X0: $tType] : ( fun(list(X0),$o) > list(X0) ) ).

tff(func_def_3239,type,
    sK1772: 
      !>[X0: $tType] : ( fun(list(X0),$o) > X0 ) ).

tff(func_def_3240,type,
    sK1773: 
      !>[X0: $tType] : ( ( X0 * list(X0) ) > X0 ) ).

tff(func_def_3241,type,
    sK1774: 
      !>[X0: $tType] : ( ( X0 * list(X0) ) > list(X0) ) ).

tff(func_def_3242,type,
    sK1775: 
      !>[X0: $tType] : ( ( X0 * list(X0) ) > list(X0) ) ).

tff(func_def_3243,type,
    sK1776: 
      !>[X0: $tType] : ( set(X0) > list(X0) ) ).

tff(func_def_3244,type,
    sK1777: 
      !>[X0: $tType] : ( ( list(X0) * set(X0) ) > X0 ) ).

tff(func_def_3245,type,
    sK1778: 
      !>[X0: $tType] : ( ( list(X0) * fun(X0,$o) ) > X0 ) ).

tff(func_def_3246,type,
    sK1779: 
      !>[X0: $tType] : ( ( X0 * list(X0) ) > nat ) ).

tff(func_def_3247,type,
    sK1780: 
      !>[X0: $tType] : ( ( list(X0) * fun(X0,$o) ) > nat ) ).

tff(func_def_3248,type,
    sK1781: 
      !>[X0: $tType] : ( ( list(X0) * fun(X0,$o) ) > nat ) ).

tff(func_def_3249,type,
    sK1782: 
      !>[X0: $tType] : ( ( list(X0) * fun(X0,$o) ) > X0 ) ).

tff(func_def_3250,type,
    sK1783: 
      !>[X0: $tType] : ( ( list(X0) * fun(X0,$o) ) > X0 ) ).

tff(func_def_3251,type,
    sK1784: 
      !>[X0: $tType] : ( ( set(set(X0)) * X0 ) > set(X0) ) ).

tff(func_def_3252,type,
    sK1785: 
      !>[X0: $tType] : ( ( set(X0) * fun(set(X0),$o) ) > set(X0) ) ).

tff(func_def_3253,type,
    sK1786: 
      !>[X0: $tType] : ( ( set(X0) * fun(set(X0),$o) ) > set(X0) ) ).

tff(func_def_3254,type,
    sK1787: 
      !>[X0: $tType] : ( ( fun(set(X0),$o) * set(X0) ) > set(X0) ) ).

tff(func_def_3255,type,
    sK1788: 
      !>[X0: $tType] : ( fun(set(X0),$o) > X0 ) ).

tff(func_def_3256,type,
    sK1789: 
      !>[X0: $tType] : ( fun(set(X0),$o) > set(X0) ) ).

tff(func_def_3257,type,
    sK1790: 
      !>[X0: $tType] : ( fun(set(X0),$o) > set(X0) ) ).

tff(func_def_3258,type,
    sK1791: 
      !>[X0: $tType] : ( ( set(X0) * fun(set(X0),$o) ) > X0 ) ).

tff(func_def_3259,type,
    sK1792: 
      !>[X0: $tType] : ( ( set(X0) * fun(set(X0),$o) ) > set(X0) ) ).

tff(func_def_3260,type,
    sK1793: 
      !>[X0: $tType] : ( ( set(X0) * fun(set(X0),$o) ) > X0 ) ).

tff(func_def_3261,type,
    sK1794: 
      !>[X0: $tType] : ( ( set(X0) * fun(set(X0),$o) ) > set(X0) ) ).

tff(func_def_3262,type,
    sK1795: 
      !>[X0: $tType] : ( ( set(X0) * set(X0) ) > X0 ) ).

tff(func_def_3263,type,
    sK1796: 
      !>[X0: $tType] : ( ( set(X0) * set(X0) ) > X0 ) ).

tff(func_def_3264,type,
    sK1797: 
      !>[X0: $tType] : ( ( set(X0) * set(X0) ) > X0 ) ).

tff(func_def_3265,type,
    sK1798: 
      !>[X0: $tType] : ( ( set(X0) * set(X0) ) > X0 ) ).

tff(func_def_3266,type,
    sK1799: set(real) > real ).

tff(func_def_3267,type,
    sK1800: ( set(real) * real ) > real ).

tff(func_def_3268,type,
    sK1801: ( set(real) * real ) > real ).

tff(func_def_3269,type,
    sK1802: 
      !>[X0: $tType] : ( product_prod(fun(X0,fun(X0,$o)),product_prod(option(X0),option(X0))) > fun(X0,fun(X0,$o)) ) ).

tff(func_def_3270,type,
    sK1803: 
      !>[X0: $tType] : ( product_prod(fun(X0,fun(X0,$o)),product_prod(option(X0),option(X0))) > X0 ) ).

tff(func_def_3271,type,
    sK1804: 
      !>[X0: $tType] : ( product_prod(fun(X0,fun(X0,$o)),product_prod(option(X0),option(X0))) > X0 ) ).

tff(func_def_3272,type,
    sK1805: 
      !>[X0: $tType] : ( product_prod(fun(X0,fun(X0,$o)),product_prod(option(X0),option(X0))) > fun(X0,fun(X0,$o)) ) ).

tff(func_def_3273,type,
    sK1806: 
      !>[X0: $tType] : ( product_prod(fun(X0,fun(X0,$o)),product_prod(option(X0),option(X0))) > X0 ) ).

tff(func_def_3274,type,
    sK1807: 
      !>[X0: $tType] : ( product_prod(fun(X0,fun(X0,$o)),product_prod(option(X0),option(X0))) > fun(X0,fun(X0,$o)) ) ).

tff(func_def_3275,type,
    sK1808: 
      !>[X0: $tType] : ( product_prod(fun(X0,fun(X0,$o)),product_prod(option(X0),option(X0))) > option(X0) ) ).

tff(func_def_3276,type,
    sK1809: 
      !>[X0: $tType] : ( product_prod(fun(X0,fun(X0,X0)),product_prod(option(X0),option(X0))) > fun(X0,fun(X0,X0)) ) ).

tff(func_def_3277,type,
    sK1810: 
      !>[X0: $tType] : ( product_prod(fun(X0,fun(X0,X0)),product_prod(option(X0),option(X0))) > X0 ) ).

tff(func_def_3278,type,
    sK1811: 
      !>[X0: $tType] : ( product_prod(fun(X0,fun(X0,X0)),product_prod(option(X0),option(X0))) > X0 ) ).

tff(func_def_3279,type,
    sK1812: 
      !>[X0: $tType] : ( product_prod(fun(X0,fun(X0,X0)),product_prod(option(X0),option(X0))) > fun(X0,fun(X0,X0)) ) ).

tff(func_def_3280,type,
    sK1813: 
      !>[X0: $tType] : ( product_prod(fun(X0,fun(X0,X0)),product_prod(option(X0),option(X0))) > X0 ) ).

tff(func_def_3281,type,
    sK1814: 
      !>[X0: $tType] : ( product_prod(fun(X0,fun(X0,X0)),product_prod(option(X0),option(X0))) > fun(X0,fun(X0,X0)) ) ).

tff(func_def_3282,type,
    sK1815: 
      !>[X0: $tType] : ( product_prod(fun(X0,fun(X0,X0)),product_prod(option(X0),option(X0))) > option(X0) ) ).

tff(func_def_3283,type,
    sK1816: 
      !>[X0: $tType] : ( option(X0) > X0 ) ).

tff(func_def_3284,type,
    sK1817: 
      !>[X0: $tType] : ( fun(option(X0),$o) > option(X0) ) ).

tff(func_def_3285,type,
    sK1818: 
      !>[X0: $tType] : ( fun(option(X0),$o) > X0 ) ).

tff(func_def_3286,type,
    sK1819: 
      !>[X0: $tType] : ( fun(option(X0),$o) > X0 ) ).

tff(func_def_3287,type,
    sK1820: 
      !>[X0: $tType] : ( fun(option(X0),$o) > option(X0) ) ).

tff(func_def_3288,type,
    sK1821: 
      !>[X0: $tType,X1: $tType] : ( ( option(X0) * option(X1) * fun(option(X1),fun(option(X0),$o)) ) > X1 ) ).

tff(func_def_3289,type,
    sK1822: 
      !>[X0: $tType,X1: $tType] : ( ( option(X0) * option(X1) * fun(option(X1),fun(option(X0),$o)) ) > X0 ) ).

tff(func_def_3290,type,
    sK1823: 
      !>[X0: $tType] : ( option(X0) > X0 ) ).

tff(func_def_3291,type,
    sK1824: 
      !>[X0: $tType] : ( option(X0) > X0 ) ).

tff(func_def_3292,type,
    sK1825: ( fun(real,fun(real,$o)) * real * real ) > real ).

tff(func_def_3293,type,
    sK1826: ( fun(real,fun(real,$o)) * real * real * real ) > real ).

tff(func_def_3294,type,
    sK1827: ( fun(real,fun(real,$o)) * real * real * real ) > real ).

tff(func_def_3295,type,
    sK1828: fun(real,fun(real,$o)) > real ).

tff(func_def_3296,type,
    sK1829: fun(real,fun(real,$o)) > real ).

tff(func_def_3297,type,
    sK1830: fun(real,fun(real,$o)) > real ).

tff(func_def_3298,type,
    sK1831: ( fun(nat,$o) * nat * nat ) > nat ).

tff(func_def_3299,type,
    sK1832: ( fun(nat,$o) * nat * nat ) > nat ).

tff(func_def_3300,type,
    sK1833: fun(nat,fun(nat,$o)) > nat ).

tff(func_def_3301,type,
    sK1834: fun(nat,fun(nat,$o)) > nat ).

tff(func_def_3302,type,
    sK1835: fun(nat,fun(nat,$o)) > nat ).

tff(func_def_3303,type,
    sK1836: ( fun(int,$o) * int * int ) > int ).

tff(func_def_3304,type,
    sK1837: ( fun(int,$o) * int * int ) > int ).

tff(func_def_3305,type,
    sK1838: ( fun(int,$o) * int * int ) > int ).

tff(func_def_3306,type,
    sK1839: ( fun(int,$o) * int * int ) > int ).

tff(func_def_3307,type,
    sK1840: ( int * fun(int,fun(int,$o)) * int ) > int ).

tff(func_def_3308,type,
    sK1841: ( int * fun(int,fun(int,$o)) * int ) > int ).

tff(func_def_3309,type,
    sK1842: ( int * fun(int,fun(int,$o)) * int ) > int ).

tff(func_def_3310,type,
    sK1843: ( int * fun(int,fun(int,$o)) * int ) > int ).

tff(func_def_3311,type,
    sK1844: ( nat * nat * nat ) > nat ).

tff(func_def_3312,type,
    sK1845: ( nat * nat * nat ) > nat ).

tff(func_def_3313,type,
    sK1846: ( nat * nat * nat ) > nat ).

tff(func_def_3314,type,
    sK1847: ( fun(nat,$o) * nat ) > nat ).

tff(func_def_3315,type,
    sK1848: ( nat * fun(nat,$o) * nat ) > nat ).

tff(func_def_3316,type,
    sK1849: ( nat * fun(nat,$o) * nat ) > nat ).

tff(func_def_3317,type,
    sK1850: ( nat * nat * nat ) > nat ).

tff(func_def_3318,type,
    sK1851: ( nat * nat * nat ) > nat ).

tff(func_def_3319,type,
    sK1852: ( nat * nat ) > nat ).

tff(func_def_3320,type,
    sK1853: 
      !>[X0: $tType,X1: $tType] : ( ( set(product_prod(X1,X0)) * set(product_prod(X1,X0)) ) > X1 ) ).

tff(func_def_3321,type,
    sK1854: 
      !>[X0: $tType,X1: $tType] : ( ( set(product_prod(X1,X0)) * set(product_prod(X1,X0)) ) > X0 ) ).

tff(func_def_3322,type,
    sK1855: 
      !>[X0: $tType,X1: $tType] : ( ( set(product_prod(X1,X0)) * set(product_prod(X1,X0)) ) > X1 ) ).

tff(func_def_3323,type,
    sK1856: 
      !>[X0: $tType,X1: $tType] : ( ( set(product_prod(X1,X0)) * set(product_prod(X1,X0)) ) > X0 ) ).

tff(func_def_3324,type,
    sK1857: product_prod(nat,nat) > nat ).

tff(func_def_3325,type,
    sK1858: product_prod(nat,nat) > nat ).

tff(func_def_3326,type,
    sK1859: 
      !>[X0: $tType,X1: $tType,X2: $tType,X3: $tType,X4: $tType] : ( fun(product_prod(X4,product_prod(X3,product_prod(X2,product_prod(X1,X0)))),$o) > X4 ) ).

tff(func_def_3327,type,
    sK1860: 
      !>[X0: $tType,X1: $tType,X2: $tType,X3: $tType,X4: $tType] : ( fun(product_prod(X4,product_prod(X3,product_prod(X2,product_prod(X1,X0)))),$o) > X3 ) ).

tff(func_def_3328,type,
    sK1861: 
      !>[X0: $tType,X1: $tType,X2: $tType,X3: $tType,X4: $tType] : ( fun(product_prod(X4,product_prod(X3,product_prod(X2,product_prod(X1,X0)))),$o) > X2 ) ).

tff(func_def_3329,type,
    sK1862: 
      !>[X0: $tType,X1: $tType,X2: $tType,X3: $tType,X4: $tType] : ( fun(product_prod(X4,product_prod(X3,product_prod(X2,product_prod(X1,X0)))),$o) > X1 ) ).

tff(func_def_3330,type,
    sK1863: 
      !>[X0: $tType,X1: $tType,X2: $tType,X3: $tType,X4: $tType] : ( fun(product_prod(X4,product_prod(X3,product_prod(X2,product_prod(X1,X0)))),$o) > X0 ) ).

tff(func_def_3331,type,
    sK1864: 
      !>[X0: $tType,X1: $tType,X2: $tType,X3: $tType,X4: $tType,X5: $tType] : ( fun(product_prod(X5,product_prod(X4,product_prod(X3,product_prod(X2,product_prod(X1,X0))))),$o) > X5 ) ).

tff(func_def_3332,type,
    sK1865: 
      !>[X0: $tType,X1: $tType,X2: $tType,X3: $tType,X4: $tType,X5: $tType] : ( fun(product_prod(X5,product_prod(X4,product_prod(X3,product_prod(X2,product_prod(X1,X0))))),$o) > X4 ) ).

tff(func_def_3333,type,
    sK1866: 
      !>[X0: $tType,X1: $tType,X2: $tType,X3: $tType,X4: $tType,X5: $tType] : ( fun(product_prod(X5,product_prod(X4,product_prod(X3,product_prod(X2,product_prod(X1,X0))))),$o) > X3 ) ).

tff(func_def_3334,type,
    sK1867: 
      !>[X0: $tType,X1: $tType,X2: $tType,X3: $tType,X4: $tType,X5: $tType] : ( fun(product_prod(X5,product_prod(X4,product_prod(X3,product_prod(X2,product_prod(X1,X0))))),$o) > X2 ) ).

tff(func_def_3335,type,
    sK1868: 
      !>[X0: $tType,X1: $tType,X2: $tType,X3: $tType,X4: $tType,X5: $tType] : ( fun(product_prod(X5,product_prod(X4,product_prod(X3,product_prod(X2,product_prod(X1,X0))))),$o) > X1 ) ).

tff(func_def_3336,type,
    sK1869: 
      !>[X0: $tType,X1: $tType,X2: $tType,X3: $tType,X4: $tType,X5: $tType] : ( fun(product_prod(X5,product_prod(X4,product_prod(X3,product_prod(X2,product_prod(X1,X0))))),$o) > X0 ) ).

tff(func_def_3337,type,
    sK1870: 
      !>[X0: $tType,X1: $tType,X2: $tType,X3: $tType,X4: $tType,X5: $tType,X6: $tType] : ( fun(product_prod(X6,product_prod(X5,product_prod(X4,product_prod(X3,product_prod(X2,product_prod(X1,X0)))))),$o) > X6 ) ).

tff(func_def_3338,type,
    sK1871: 
      !>[X0: $tType,X1: $tType,X2: $tType,X3: $tType,X4: $tType,X5: $tType,X6: $tType] : ( fun(product_prod(X6,product_prod(X5,product_prod(X4,product_prod(X3,product_prod(X2,product_prod(X1,X0)))))),$o) > X5 ) ).

tff(func_def_3339,type,
    sK1872: 
      !>[X0: $tType,X1: $tType,X2: $tType,X3: $tType,X4: $tType,X5: $tType,X6: $tType] : ( fun(product_prod(X6,product_prod(X5,product_prod(X4,product_prod(X3,product_prod(X2,product_prod(X1,X0)))))),$o) > X4 ) ).

tff(func_def_3340,type,
    sK1873: 
      !>[X0: $tType,X1: $tType,X2: $tType,X3: $tType,X4: $tType,X5: $tType,X6: $tType] : ( fun(product_prod(X6,product_prod(X5,product_prod(X4,product_prod(X3,product_prod(X2,product_prod(X1,X0)))))),$o) > X3 ) ).

tff(func_def_3341,type,
    sK1874: 
      !>[X0: $tType,X1: $tType,X2: $tType,X3: $tType,X4: $tType,X5: $tType,X6: $tType] : ( fun(product_prod(X6,product_prod(X5,product_prod(X4,product_prod(X3,product_prod(X2,product_prod(X1,X0)))))),$o) > X2 ) ).

tff(func_def_3342,type,
    sK1875: 
      !>[X0: $tType,X1: $tType,X2: $tType,X3: $tType,X4: $tType,X5: $tType,X6: $tType] : ( fun(product_prod(X6,product_prod(X5,product_prod(X4,product_prod(X3,product_prod(X2,product_prod(X1,X0)))))),$o) > X1 ) ).

tff(func_def_3343,type,
    sK1876: 
      !>[X0: $tType,X1: $tType,X2: $tType,X3: $tType,X4: $tType,X5: $tType,X6: $tType] : ( fun(product_prod(X6,product_prod(X5,product_prod(X4,product_prod(X3,product_prod(X2,product_prod(X1,X0)))))),$o) > X0 ) ).

tff(func_def_3344,type,
    sK1877: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( product_prod(X0,product_prod(X1,X2)) > X0 ) ).

tff(func_def_3345,type,
    sK1878: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( product_prod(X0,product_prod(X1,X2)) > X1 ) ).

tff(func_def_3346,type,
    sK1879: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( product_prod(X0,product_prod(X1,X2)) > X2 ) ).

tff(func_def_3347,type,
    sK1880: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( fun(product_prod(X2,product_prod(X1,X0)),$o) > X2 ) ).

tff(func_def_3348,type,
    sK1881: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( fun(product_prod(X2,product_prod(X1,X0)),$o) > X1 ) ).

tff(func_def_3349,type,
    sK1882: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( fun(product_prod(X2,product_prod(X1,X0)),$o) > X0 ) ).

tff(func_def_3350,type,
    sK1883: 
      !>[X0: $tType,X1: $tType] : ( product_prod(X0,X1) > X0 ) ).

tff(func_def_3351,type,
    sK1884: 
      !>[X0: $tType,X1: $tType] : ( product_prod(X0,X1) > X1 ) ).

tff(func_def_3352,type,
    sK1885: 
      !>[X0: $tType,X1: $tType] : ( product_prod(X0,X1) > X0 ) ).

tff(func_def_3353,type,
    sK1886: 
      !>[X0: $tType,X1: $tType] : ( product_prod(X0,X1) > X1 ) ).

tff(func_def_3354,type,
    sK1887: 
      !>[X0: $tType,X1: $tType] : ( fun(product_prod(X1,X0),$o) > X1 ) ).

tff(func_def_3355,type,
    sK1888: 
      !>[X0: $tType,X1: $tType] : ( fun(product_prod(X1,X0),$o) > X0 ) ).

tff(func_def_3356,type,
    sK1889: 
      !>[X0: $tType,X1: $tType,X2: $tType,X3: $tType] : ( fun(product_prod(X3,product_prod(X2,product_prod(X1,X0))),$o) > X3 ) ).

tff(func_def_3357,type,
    sK1890: 
      !>[X0: $tType,X1: $tType,X2: $tType,X3: $tType] : ( fun(product_prod(X3,product_prod(X2,product_prod(X1,X0))),$o) > X2 ) ).

tff(func_def_3358,type,
    sK1891: 
      !>[X0: $tType,X1: $tType,X2: $tType,X3: $tType] : ( fun(product_prod(X3,product_prod(X2,product_prod(X1,X0))),$o) > X1 ) ).

tff(func_def_3359,type,
    sK1892: 
      !>[X0: $tType,X1: $tType,X2: $tType,X3: $tType] : ( fun(product_prod(X3,product_prod(X2,product_prod(X1,X0))),$o) > X0 ) ).

tff(func_def_3360,type,
    sK1893: 
      !>[X0: $tType,X1: $tType,X2: $tType,X3: $tType,X4: $tType,X5: $tType,X6: $tType] : ( product_prod(X0,product_prod(X1,product_prod(X2,product_prod(X3,product_prod(X4,product_prod(X5,X6)))))) > X0 ) ).

tff(func_def_3361,type,
    sK1894: 
      !>[X0: $tType,X1: $tType,X2: $tType,X3: $tType,X4: $tType,X5: $tType,X6: $tType] : ( product_prod(X0,product_prod(X1,product_prod(X2,product_prod(X3,product_prod(X4,product_prod(X5,X6)))))) > X1 ) ).

tff(func_def_3362,type,
    sK1895: 
      !>[X0: $tType,X1: $tType,X2: $tType,X3: $tType,X4: $tType,X5: $tType,X6: $tType] : ( product_prod(X0,product_prod(X1,product_prod(X2,product_prod(X3,product_prod(X4,product_prod(X5,X6)))))) > X2 ) ).

tff(func_def_3363,type,
    sK1896: 
      !>[X0: $tType,X1: $tType,X2: $tType,X3: $tType,X4: $tType,X5: $tType,X6: $tType] : ( product_prod(X0,product_prod(X1,product_prod(X2,product_prod(X3,product_prod(X4,product_prod(X5,X6)))))) > X3 ) ).

tff(func_def_3364,type,
    sK1897: 
      !>[X0: $tType,X1: $tType,X2: $tType,X3: $tType,X4: $tType,X5: $tType,X6: $tType] : ( product_prod(X0,product_prod(X1,product_prod(X2,product_prod(X3,product_prod(X4,product_prod(X5,X6)))))) > X4 ) ).

tff(func_def_3365,type,
    sK1898: 
      !>[X0: $tType,X1: $tType,X2: $tType,X3: $tType,X4: $tType,X5: $tType,X6: $tType] : ( product_prod(X0,product_prod(X1,product_prod(X2,product_prod(X3,product_prod(X4,product_prod(X5,X6)))))) > X5 ) ).

tff(func_def_3366,type,
    sK1899: 
      !>[X0: $tType,X1: $tType,X2: $tType,X3: $tType,X4: $tType,X5: $tType,X6: $tType] : ( product_prod(X0,product_prod(X1,product_prod(X2,product_prod(X3,product_prod(X4,product_prod(X5,X6)))))) > X6 ) ).

tff(func_def_3367,type,
    sK1900: 
      !>[X0: $tType,X1: $tType,X2: $tType,X3: $tType,X4: $tType,X5: $tType] : ( product_prod(X0,product_prod(X1,product_prod(X2,product_prod(X3,product_prod(X4,X5))))) > X0 ) ).

tff(func_def_3368,type,
    sK1901: 
      !>[X0: $tType,X1: $tType,X2: $tType,X3: $tType,X4: $tType,X5: $tType] : ( product_prod(X0,product_prod(X1,product_prod(X2,product_prod(X3,product_prod(X4,X5))))) > X1 ) ).

tff(func_def_3369,type,
    sK1902: 
      !>[X0: $tType,X1: $tType,X2: $tType,X3: $tType,X4: $tType,X5: $tType] : ( product_prod(X0,product_prod(X1,product_prod(X2,product_prod(X3,product_prod(X4,X5))))) > X2 ) ).

tff(func_def_3370,type,
    sK1903: 
      !>[X0: $tType,X1: $tType,X2: $tType,X3: $tType,X4: $tType,X5: $tType] : ( product_prod(X0,product_prod(X1,product_prod(X2,product_prod(X3,product_prod(X4,X5))))) > X3 ) ).

tff(func_def_3371,type,
    sK1904: 
      !>[X0: $tType,X1: $tType,X2: $tType,X3: $tType,X4: $tType,X5: $tType] : ( product_prod(X0,product_prod(X1,product_prod(X2,product_prod(X3,product_prod(X4,X5))))) > X4 ) ).

tff(func_def_3372,type,
    sK1905: 
      !>[X0: $tType,X1: $tType,X2: $tType,X3: $tType,X4: $tType,X5: $tType] : ( product_prod(X0,product_prod(X1,product_prod(X2,product_prod(X3,product_prod(X4,X5))))) > X5 ) ).

tff(func_def_3373,type,
    sK1906: 
      !>[X0: $tType,X1: $tType,X2: $tType,X3: $tType,X4: $tType] : ( product_prod(X0,product_prod(X1,product_prod(X2,product_prod(X3,X4)))) > X0 ) ).

tff(func_def_3374,type,
    sK1907: 
      !>[X0: $tType,X1: $tType,X2: $tType,X3: $tType,X4: $tType] : ( product_prod(X0,product_prod(X1,product_prod(X2,product_prod(X3,X4)))) > X1 ) ).

tff(func_def_3375,type,
    sK1908: 
      !>[X0: $tType,X1: $tType,X2: $tType,X3: $tType,X4: $tType] : ( product_prod(X0,product_prod(X1,product_prod(X2,product_prod(X3,X4)))) > X2 ) ).

tff(func_def_3376,type,
    sK1909: 
      !>[X0: $tType,X1: $tType,X2: $tType,X3: $tType,X4: $tType] : ( product_prod(X0,product_prod(X1,product_prod(X2,product_prod(X3,X4)))) > X3 ) ).

tff(func_def_3377,type,
    sK1910: 
      !>[X0: $tType,X1: $tType,X2: $tType,X3: $tType,X4: $tType] : ( product_prod(X0,product_prod(X1,product_prod(X2,product_prod(X3,X4)))) > X4 ) ).

tff(func_def_3378,type,
    sK1911: 
      !>[X0: $tType,X1: $tType,X2: $tType,X3: $tType] : ( product_prod(X0,product_prod(X1,product_prod(X2,X3))) > X0 ) ).

tff(func_def_3379,type,
    sK1912: 
      !>[X0: $tType,X1: $tType,X2: $tType,X3: $tType] : ( product_prod(X0,product_prod(X1,product_prod(X2,X3))) > X1 ) ).

tff(func_def_3380,type,
    sK1913: 
      !>[X0: $tType,X1: $tType,X2: $tType,X3: $tType] : ( product_prod(X0,product_prod(X1,product_prod(X2,X3))) > X2 ) ).

tff(func_def_3381,type,
    sK1914: 
      !>[X0: $tType,X1: $tType,X2: $tType,X3: $tType] : ( product_prod(X0,product_prod(X1,product_prod(X2,X3))) > X3 ) ).

tff(func_def_3382,type,
    sK1915: 
      !>[X0: $tType] : ( product_prod(fun(nat,fun(X0,X0)),product_prod(nat,product_prod(nat,X0))) > fun(nat,fun(X0,X0)) ) ).

tff(func_def_3383,type,
    sK1916: 
      !>[X0: $tType] : ( product_prod(fun(nat,fun(X0,X0)),product_prod(nat,product_prod(nat,X0))) > nat ) ).

tff(func_def_3384,type,
    sK1917: 
      !>[X0: $tType] : ( product_prod(fun(nat,fun(X0,X0)),product_prod(nat,product_prod(nat,X0))) > nat ) ).

tff(func_def_3385,type,
    sK1918: 
      !>[X0: $tType] : ( product_prod(fun(nat,fun(X0,X0)),product_prod(nat,product_prod(nat,X0))) > X0 ) ).

tff(func_def_3386,type,
    sK1919: ( vEBT_VEBT * list(vEBT_VEBT) * nat ) > nat ).

tff(func_def_3387,type,
    sK1920: ( vEBT_VEBT * list(vEBT_VEBT) * nat ) > nat ).

tff(func_def_3388,type,
    sK1921: ( nat * nat * list(vEBT_VEBT) * nat * nat ) > nat ).

tff(func_def_3389,type,
    sK1922: ( nat * nat * list(vEBT_VEBT) * nat * nat ) > nat ).

tff(func_def_3390,type,
    sK1923: list(vEBT_VEBT) > vEBT_VEBT ).

tff(func_def_3391,type,
    sK1924: list(vEBT_VEBT) > nat ).

tff(func_def_3392,type,
    sK1925: ( list(vEBT_VEBT) * nat ) > vEBT_VEBT ).

tff(func_def_3393,type,
    sK1926: list(vEBT_VEBT) > vEBT_VEBT ).

tff(func_def_3394,type,
    sK1927: list(vEBT_VEBT) > nat ).

tff(func_def_3395,type,
    sK1928: vEBT_VEBT > nat ).

tff(func_def_3396,type,
    sK1929: ( list(vEBT_VEBT) * nat ) > vEBT_VEBT ).

tff(func_def_3397,type,
    sK1930: ( vEBT_VEBT * list(vEBT_VEBT) * nat ) > nat ).

tff(func_def_3398,type,
    sK1931: ( vEBT_VEBT * list(vEBT_VEBT) * nat ) > nat ).

tff(func_def_3399,type,
    sK1932: ( nat * nat * list(vEBT_VEBT) * nat * nat ) > nat ).

tff(func_def_3400,type,
    sK1933: ( nat * nat * list(vEBT_VEBT) * nat * nat ) > nat ).

tff(func_def_3401,type,
    sK1934: list(vEBT_VEBT) > vEBT_VEBT ).

tff(func_def_3402,type,
    sK1935: list(vEBT_VEBT) > nat ).

tff(func_def_3403,type,
    sK1936: ( list(vEBT_VEBT) * nat ) > vEBT_VEBT ).

tff(func_def_3404,type,
    sK1937: list(vEBT_VEBT) > vEBT_VEBT ).

tff(func_def_3405,type,
    sK1938: list(vEBT_VEBT) > nat ).

tff(func_def_3406,type,
    sK1939: vEBT_VEBT > nat ).

tff(func_def_3407,type,
    sK1940: ( list(vEBT_VEBT) * nat ) > vEBT_VEBT ).

tff(func_def_3408,type,
    sK1941: ( vEBT_VEBT * nat ) > option(product_prod(nat,nat)) ).

tff(func_def_3409,type,
    sK1942: ( vEBT_VEBT * nat ) > list(vEBT_VEBT) ).

tff(func_def_3410,type,
    sK1943: ( vEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_3411,type,
    sK1944: ( list(vEBT_VEBT) * nat ) > vEBT_VEBT ).

tff(func_def_3412,type,
    sK1945: nat > nat ).

tff(func_def_3413,type,
    sK1946: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_3414,type,
    sK1947: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( product_prod(X2,X1) * fun(X2,fun(X1,X0)) * fun(X2,fun(X1,X0)) ) > X2 ) ).

tff(func_def_3415,type,
    sK1948: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( product_prod(X2,X1) * fun(X2,fun(X1,X0)) * fun(X2,fun(X1,X0)) ) > X1 ) ).

tff(func_def_3416,type,
    sK1949: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( fun(X1,fun(X0,fun(X2,$o))) * product_prod(X1,X0) * X2 ) > X1 ) ).

tff(func_def_3417,type,
    sK1950: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( fun(X1,fun(X0,fun(X2,$o))) * product_prod(X1,X0) * X2 ) > X0 ) ).

tff(func_def_3418,type,
    sK1951: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,fun(X1,$o)) * product_prod(X0,X1) ) > X0 ) ).

tff(func_def_3419,type,
    sK1952: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,fun(X1,$o)) * product_prod(X0,X1) ) > X1 ) ).

tff(func_def_3420,type,
    sK1953: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( X1 * fun(X0,fun(X2,set(X1))) * product_prod(X0,X2) ) > X0 ) ).

tff(func_def_3421,type,
    sK1954: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( X1 * fun(X0,fun(X2,set(X1))) * product_prod(X0,X2) ) > X2 ) ).

tff(func_def_3422,type,
    sK1955: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( product_prod(X0,X1) * fun(X0,fun(X1,fun(X2,$o))) * X2 ) > X0 ) ).

tff(func_def_3423,type,
    sK1956: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( product_prod(X0,X1) * fun(X0,fun(X1,fun(X2,$o))) * X2 ) > X1 ) ).

tff(func_def_3424,type,
    sK1957: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( product_prod(X2,X1) * X0 * fun(X2,fun(X1,set(X0))) ) > X2 ) ).

tff(func_def_3425,type,
    sK1958: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( product_prod(X2,X1) * X0 * fun(X2,fun(X1,set(X0))) ) > X1 ) ).

tff(func_def_3426,type,
    sK1959: 
      !>[X0: $tType,X1: $tType] : ( ( product_prod(X1,X0) * fun(X1,fun(X0,$o)) ) > X1 ) ).

tff(func_def_3427,type,
    sK1960: 
      !>[X0: $tType,X1: $tType] : ( ( product_prod(X1,X0) * fun(X1,fun(X0,$o)) ) > X0 ) ).

tff(func_def_3428,type,
    sK1961: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( fun(X1,$o) * fun(X0,fun(X2,X1)) * product_prod(X0,X2) ) > X0 ) ).

tff(func_def_3429,type,
    sK1962: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( fun(X1,$o) * fun(X0,fun(X2,X1)) * product_prod(X0,X2) ) > X2 ) ).

tff(func_def_3430,type,
    sK1963: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( fun(X2,fun(X1,X0)) * fun(product_prod(X2,X1),X0) ) > X2 ) ).

tff(func_def_3431,type,
    sK1964: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( fun(X2,fun(X1,X0)) * fun(product_prod(X2,X1),X0) ) > X1 ) ).

tff(func_def_3432,type,
    sK1965: fun(int,$o) > int ).

tff(func_def_3433,type,
    sK1966: fun(int,$o) > int ).

tff(func_def_3434,type,
    sK1967: 
      !>[X0: $tType] : ( fun(X0,fun(X0,$o)) > X0 ) ).

tff(func_def_3435,type,
    sK1968: 
      !>[X0: $tType] : ( ( set(nat) * fun(nat,X0) * fun(nat,X0) ) > nat ) ).

tff(func_def_3436,type,
    sK1969: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_3437,type,
    sK1970: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_3438,type,
    sK1971: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_3439,type,
    sK1972: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_3440,type,
    sK1973: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_3441,type,
    sK1974: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_3442,type,
    sK1975: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,X0) * fun(X1,X0) ) > X1 ) ).

tff(func_def_3443,type,
    sK1976: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_3444,type,
    sK1977: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,X0) * fun(X1,X0) ) > X1 ) ).

tff(func_def_3445,type,
    sK1978: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_3446,type,
    sK1979: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * set(X0) * fun(X1,X0) * set(X1) * set(X1) ) > X1 ) ).

tff(func_def_3447,type,
    sK1980: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * fun(X0,X1) * set(X1) * set(X1) ) > X1 ) ).

tff(func_def_3448,type,
    sK1981: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * set(X0) * fun(X1,X0) * set(X1) * set(X1) ) > X1 ) ).

tff(func_def_3449,type,
    sK1982: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * fun(X0,X1) * set(X1) * set(X1) ) > X1 ) ).

tff(func_def_3450,type,
    sK1983: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( set(X0) * fun(X0,X2) * fun(X0,X1) * fun(X2,X1) ) > X0 ) ).

tff(func_def_3451,type,
    sK1984: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_3452,type,
    sK1985: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,X1) ) > X0 ) ).

tff(func_def_3453,type,
    sK1986: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,fun(X0,$o)) * set(X1) * fun(X1,X0) * fun(X1,X0) ) > X1 ) ).

tff(func_def_3454,type,
    sK1987: 
      !>[X0: $tType] : ( fun(X0,fun(X0,$o)) > X0 ) ).

tff(func_def_3455,type,
    sK1988: 
      !>[X0: $tType] : ( fun(X0,fun(X0,$o)) > X0 ) ).

tff(func_def_3456,type,
    sK1989: 
      !>[X0: $tType] : ( fun(X0,fun(X0,$o)) > X0 ) ).

tff(func_def_3457,type,
    sK1990: 
      !>[X0: $tType] : ( fun(X0,fun(X0,$o)) > X0 ) ).

tff(func_def_3458,type,
    sK1991: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_3459,type,
    sK1992: 
      !>[X0: $tType,X1: $tType] : ( fun(X0,X1) > X0 ) ).

tff(func_def_3460,type,
    sK1993: 
      !>[X0: $tType,X1: $tType] : ( fun(X0,X1) > X0 ) ).

tff(func_def_3461,type,
    sK1994: 
      !>[X0: $tType,X1: $tType] : ( fun(X1,X0) > X1 ) ).

tff(func_def_3462,type,
    sK1995: 
      !>[X0: $tType,X1: $tType] : ( fun(X1,X0) > X1 ) ).

tff(func_def_3463,type,
    sK1996: 
      !>[X0: $tType,X1: $tType] : ( fun(X0,X1) > X0 ) ).

tff(func_def_3464,type,
    sK1997: 
      !>[X0: $tType,X1: $tType] : ( fun(X0,X1) > X0 ) ).

tff(func_def_3465,type,
    sK1998: 
      !>[X0: $tType,X1: $tType] : ( fun(X1,X0) > X1 ) ).

tff(func_def_3466,type,
    sK1999: 
      !>[X0: $tType,X1: $tType] : ( fun(X1,X0) > X1 ) ).

tff(func_def_3467,type,
    sK2000: 
      !>[X0: $tType,X1: $tType] : ( fun(X0,X1) > X0 ) ).

tff(func_def_3468,type,
    sK2001: 
      !>[X0: $tType,X1: $tType] : ( fun(X0,X1) > X0 ) ).

tff(func_def_3469,type,
    sK2002: 
      !>[X0: $tType,X1: $tType] : ( fun(X1,X0) > X1 ) ).

tff(func_def_3470,type,
    sK2003: 
      !>[X0: $tType,X1: $tType] : ( fun(X1,X0) > X1 ) ).

tff(func_def_3471,type,
    sK2004: 
      !>[X0: $tType,X1: $tType] : ( fun(X0,X1) > X0 ) ).

tff(func_def_3472,type,
    sK2005: 
      !>[X0: $tType,X1: $tType] : ( fun(X0,X1) > X0 ) ).

tff(func_def_3473,type,
    sK2006: 
      !>[X0: $tType,X1: $tType] : ( fun(X1,X0) > X1 ) ).

tff(func_def_3474,type,
    sK2007: 
      !>[X0: $tType,X1: $tType] : ( fun(X1,X0) > X1 ) ).

tff(func_def_3475,type,
    sK2008: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_3476,type,
    sK2009: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_3477,type,
    sK2010: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_3478,type,
    sK2011: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_3479,type,
    sK2012: 
      !>[X0: $tType] : ( fun(nat,X0) > nat ) ).

tff(func_def_3480,type,
    sK2013: 
      !>[X0: $tType] : ( fun(nat,X0) > nat ) ).

tff(func_def_3481,type,
    sK2014: 
      !>[X0: $tType] : ( fun(nat,X0) > nat ) ).

tff(func_def_3482,type,
    sK2015: 
      !>[X0: $tType] : ( fun(nat,X0) > nat ) ).

tff(func_def_3483,type,
    sK2016: 
      !>[X0: $tType] : ( ( fun(X0,$o) * X0 ) > X0 ) ).

tff(func_def_3484,type,
    sK2017: 
      !>[X0: $tType] : ( fun(X0,$o) > X0 ) ).

tff(func_def_3485,type,
    sK2018: 
      !>[X0: $tType] : ( ( X0 * fun(X0,$o) ) > X0 ) ).

tff(func_def_3486,type,
    sK2019: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * fun(X1,$o) ) > X1 ) ).

tff(func_def_3487,type,
    sK2020: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * fun(X1,$o) ) > X1 ) ).

tff(func_def_3488,type,
    sK2021: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,$o) * fun(X0,$o) * fun(X0,X1) ) > X0 ) ).

tff(func_def_3489,type,
    sK2022: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * fun(X0,$o) * fun(X0,X1) ) > X0 ) ).

tff(func_def_3490,type,
    sK2023: 
      !>[X0: $tType] : ( fun(set(X0),$o) > X0 ) ).

tff(func_def_3491,type,
    sK2024: 
      !>[X0: $tType] : ( fun(set(X0),$o) > set(X0) ) ).

tff(func_def_3492,type,
    sK2025: 
      !>[X0: $tType] : ( fun(set(X0),$o) > X0 ) ).

tff(func_def_3493,type,
    sK2026: 
      !>[X0: $tType] : ( fun(set(X0),$o) > set(X0) ) ).

tff(func_def_3494,type,
    sK2027: 
      !>[X0: $tType,X1: $tType] : ( ( fun(set(X1),$o) * fun(X1,X0) ) > X1 ) ).

tff(func_def_3495,type,
    sK2028: 
      !>[X0: $tType,X1: $tType] : ( ( fun(set(X1),$o) * fun(X1,X0) ) > set(X1) ) ).

tff(func_def_3496,type,
    sK2029: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_3497,type,
    sK2030: 
      !>[X0: $tType] : ( fun(X0,fun(X0,$o)) > X0 ) ).

tff(func_def_3498,type,
    sK2031: 
      !>[X0: $tType] : ( fun(X0,fun(X0,$o)) > X0 ) ).

tff(func_def_3499,type,
    sK2032: 
      !>[X0: $tType] : ( fun(X0,fun(X0,$o)) > X0 ) ).

tff(func_def_3500,type,
    sK2033: 
      !>[X0: $tType] : ( fun(X0,fun(X0,$o)) > X0 ) ).

tff(func_def_3501,type,
    sK2034: 
      !>[X0: $tType] : ( fun(X0,fun(X0,$o)) > X0 ) ).

tff(func_def_3502,type,
    sK2035: 
      !>[X0: $tType] : ( fun(X0,fun(X0,$o)) > X0 ) ).

tff(func_def_3503,type,
    sK2036: 
      !>[X0: $tType] : ( fun(X0,fun(X0,$o)) > X0 ) ).

tff(func_def_3504,type,
    sK2037: 
      !>[X0: $tType] : ( fun(X0,fun(X0,$o)) > X0 ) ).

tff(func_def_3505,type,
    sK2038: 
      !>[X0: $tType] : ( fun(X0,fun(X0,$o)) > X0 ) ).

tff(func_def_3506,type,
    sK2039: 
      !>[X0: $tType] : ( X0 > X0 ) ).

tff(func_def_3507,type,
    sK2040: 
      !>[X0: $tType] : ( X0 > X0 ) ).

tff(func_def_3508,type,
    sK2041: 
      !>[X0: $tType] : ( X0 > X0 ) ).

tff(func_def_3509,type,
    sK2042: 
      !>[X0: $tType] : ( X0 > X0 ) ).

tff(func_def_3510,type,
    sK2043: 
      !>[X0: $tType] : ( X0 > X0 ) ).

tff(func_def_3511,type,
    sK2044: 
      !>[X0: $tType] : ( X0 > X0 ) ).

tff(func_def_3512,type,
    sK2045: 
      !>[X0: $tType] : ( X0 > X0 ) ).

tff(func_def_3513,type,
    sK2046: 
      !>[X0: $tType] : ( X0 > X0 ) ).

tff(func_def_3514,type,
    sK2047: 
      !>[X0: $tType] : ( ( fun(X0,$o) * fun(X0,$o) * fun(X0,$o) * fun(X0,$o) ) > X0 ) ).

tff(func_def_3515,type,
    sK2048: 
      !>[X0: $tType] : ( ( fun(X0,$o) * fun(X0,$o) * X0 ) > X0 ) ).

tff(func_def_3516,type,
    sK2049: 
      !>[X0: $tType] : ( ( fun(X0,$o) * fun(X0,$o) * X0 ) > X0 ) ).

tff(func_def_3517,type,
    sK2050: 
      !>[X0: $tType] : ( ( fun(X0,$o) * fun(X0,$o) * fun(X0,$o) * fun(X0,$o) ) > X0 ) ).

tff(func_def_3518,type,
    sK2051: 
      !>[X0: $tType] : ( ( fun(X0,$o) * fun(X0,$o) * X0 ) > X0 ) ).

tff(func_def_3519,type,
    sK2052: 
      !>[X0: $tType] : ( ( fun(X0,$o) * fun(X0,$o) * X0 ) > X0 ) ).

tff(func_def_3520,type,
    sK2053: 
      !>[X0: $tType] : ( X0 > X0 ) ).

tff(func_def_3521,type,
    sK2054: 
      !>[X0: $tType] : ( X0 > X0 ) ).

tff(func_def_3522,type,
    sK2055: 
      !>[X0: $tType] : ( X0 > X0 ) ).

tff(func_def_3523,type,
    sK2056: 
      !>[X0: $tType] : ( X0 > X0 ) ).

tff(func_def_3524,type,
    sK2057: 
      !>[X0: $tType] : ( ( fun(X0,$o) * fun(X0,$o) * fun(X0,$o) * fun(X0,$o) ) > X0 ) ).

tff(func_def_3525,type,
    sK2058: 
      !>[X0: $tType] : ( ( fun(X0,$o) * fun(X0,$o) * X0 ) > X0 ) ).

tff(func_def_3526,type,
    sK2059: 
      !>[X0: $tType] : ( ( fun(X0,$o) * fun(X0,$o) * X0 ) > X0 ) ).

tff(func_def_3527,type,
    sK2060: 
      !>[X0: $tType] : ( ( fun(X0,$o) * fun(X0,$o) * fun(X0,$o) * fun(X0,$o) ) > X0 ) ).

tff(func_def_3528,type,
    sK2061: 
      !>[X0: $tType] : ( ( fun(X0,$o) * fun(X0,$o) * X0 ) > X0 ) ).

tff(func_def_3529,type,
    sK2062: 
      !>[X0: $tType] : ( ( fun(X0,$o) * fun(X0,$o) * X0 ) > X0 ) ).

tff(func_def_3530,type,
    sK2063: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * set(X1) * fun(X1,X0) * fun(X1,X0) ) > X1 ) ).

tff(func_def_3531,type,
    sK2064: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_3532,type,
    sK2065: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_3533,type,
    sK2066: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_3534,type,
    sK2067: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_3535,type,
    sK2068: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_3536,type,
    sK2069: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_3537,type,
    sK2070: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_3538,type,
    sK2071: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_3539,type,
    sK2072: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,X0) * fun(X1,X0) ) > X1 ) ).

tff(func_def_3540,type,
    sK2073: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_3541,type,
    sK2074: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,X0) * fun(X1,X0) ) > X1 ) ).

tff(func_def_3542,type,
    sK2075: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_3543,type,
    sK2076: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * set(X0) * fun(X1,X0) * set(X1) * set(X1) ) > X1 ) ).

tff(func_def_3544,type,
    sK2077: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * fun(X0,X1) * set(X1) * set(X1) ) > X1 ) ).

tff(func_def_3545,type,
    sK2078: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * set(X0) * fun(X1,X0) * set(X1) * set(X1) ) > X1 ) ).

tff(func_def_3546,type,
    sK2079: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * fun(X0,X1) * set(X1) * set(X1) ) > X1 ) ).

tff(func_def_3547,type,
    sK2080: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( set(X0) * fun(X0,X2) * fun(X0,X1) * fun(X2,X1) ) > X0 ) ).

tff(func_def_3548,type,
    sK2081: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_3549,type,
    sK2082: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,X1) ) > X0 ) ).

tff(func_def_3550,type,
    sK2083: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,fun(X0,$o)) * set(X1) * fun(X1,X0) * fun(X1,X0) ) > X1 ) ).

tff(func_def_3551,type,
    sK2084: 
      !>[X0: $tType] : ( fun(X0,fun(X0,$o)) > X0 ) ).

tff(func_def_3552,type,
    sK2085: 
      !>[X0: $tType] : ( fun(X0,fun(X0,$o)) > X0 ) ).

tff(func_def_3553,type,
    sK2086: 
      !>[X0: $tType] : ( fun(X0,fun(X0,$o)) > X0 ) ).

tff(func_def_3554,type,
    sK2087: 
      !>[X0: $tType] : ( fun(X0,fun(X0,$o)) > X0 ) ).

tff(func_def_3555,type,
    sK2088: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,X1) ) > X0 ) ).

tff(func_def_3556,type,
    sK2089: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * set(X0) ) > X0 ) ).

tff(func_def_3557,type,
    sK2090: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * set(X0) ) > X0 ) ).

tff(func_def_3558,type,
    sK2091: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * set(X0) ) > X0 ) ).

tff(func_def_3559,type,
    sK2092: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,X0) * fun(X1,X0) ) > X1 ) ).

tff(func_def_3560,type,
    sK2093: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,X0) * fun(X1,X0) ) > X1 ) ).

tff(func_def_3561,type,
    sK2094: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,X1) * X1 ) > X0 ) ).

tff(func_def_3562,type,
    sK2095: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,X1) * X1 ) > X0 ) ).

tff(func_def_3563,type,
    sK2096: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * X1 * fun(X0,X1) ) > X0 ) ).

tff(func_def_3564,type,
    sK2097: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * X1 * fun(X0,X1) ) > X0 ) ).

tff(func_def_3565,type,
    sK2098: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,X1) * X1 ) > X1 ) ).

tff(func_def_3566,type,
    sK2099: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,X1) * X1 ) > X0 ) ).

tff(func_def_3567,type,
    sK2100: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( set(X0) * set(X2) * fun(X0,X1) * fun(X2,X1) ) > X0 ) ).

tff(func_def_3568,type,
    sK2101: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,X1) * X1 ) > X0 ) ).

tff(func_def_3569,type,
    sK2102: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * fun(X1,X0) ) > X1 ) ).

tff(func_def_3570,type,
    sK2103: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * set(X0) * X1 ) > X0 ) ).

tff(func_def_3571,type,
    sK2104: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * X1 * fun(X0,X1) ) > X1 ) ).

tff(func_def_3572,type,
    sK2105: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * X1 * fun(X0,X1) ) > X0 ) ).

tff(func_def_3573,type,
    sK2106: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( set(X2) * set(X0) * fun(X0,X1) * fun(X2,X1) ) > X2 ) ).

tff(func_def_3574,type,
    sK2107: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * fun(X1,X0) ) > X1 ) ).

tff(func_def_3575,type,
    sK2108: 
      !>[X0: $tType,X1: $tType] : ( ( X0 * fun(X1,X0) * set(X1) ) > X1 ) ).

tff(func_def_3576,type,
    sK2109: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * X0 * fun(X1,X0) ) > X1 ) ).

tff(func_def_3577,type,
    sK2110: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( set(X0) * set(X2) * fun(X0,X1) * fun(X2,X1) ) > X2 ) ).

tff(func_def_3578,type,
    sK2111: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( set(X0) * set(X2) * fun(X0,X1) * fun(X2,X1) ) > X0 ) ).

tff(func_def_3579,type,
    sK2112: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( set(X0) * set(X2) * fun(X2,X1) * fun(X0,X1) ) > X2 ) ).

tff(func_def_3580,type,
    sK2113: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( set(X0) * set(X2) * fun(X2,X1) * fun(X0,X1) ) > X0 ) ).

tff(func_def_3581,type,
    sK2114: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * set(X0) ) > X0 ) ).

tff(func_def_3582,type,
    sK2115: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * set(X0) ) > X0 ) ).

tff(func_def_3583,type,
    sK2116: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_3584,type,
    sK2117: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_3585,type,
    sK2118: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_3586,type,
    sK2119: 
      !>[X0: $tType] : ( ( X0 * set(X0) ) > X0 ) ).

tff(func_def_3587,type,
    sK2120: 
      !>[X0: $tType] : ( ( set(X0) * set(X0) ) > X0 ) ).

tff(func_def_3588,type,
    sK2121: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_3589,type,
    sK2122: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_3590,type,
    sK2123: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_3591,type,
    sK2124: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_3592,type,
    sK2125: 
      !>[X0: $tType] : ( ( set(X0) * set(X0) ) > X0 ) ).

tff(func_def_3593,type,
    sK2126: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_3594,type,
    sK2127: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_3595,type,
    sK2128: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * X0 * fun(X1,X0) ) > X1 ) ).

tff(func_def_3596,type,
    sK2129: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,X1) * X1 ) > X0 ) ).

tff(func_def_3597,type,
    sK2130: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_3598,type,
    sK2131: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_3599,type,
    sK2132: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_3600,type,
    sK2133: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_3601,type,
    sK2134: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_3602,type,
    sK2135: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_3603,type,
    sK2136: 
      !>[X0: $tType] : ( ( X0 * set(X0) ) > X0 ) ).

tff(func_def_3604,type,
    sK2137: 
      !>[X0: $tType] : ( ( X0 * set(X0) ) > X0 ) ).

tff(func_def_3605,type,
    sK2138: 
      !>[X0: $tType] : ( ( fun(X0,real) * X0 * fun(X0,real) ) > X0 ) ).

tff(func_def_3606,type,
    sK2139: 
      !>[X0: $tType] : ( ( X0 * fun(X0,real) ) > X0 ) ).

tff(func_def_3607,type,
    sK2140: 
      !>[X0: $tType] : ( ( X0 * X0 ) > X0 ) ).

tff(func_def_3608,type,
    sK2141: 
      !>[X0: $tType] : ( ( X0 * X0 ) > X0 ) ).

tff(func_def_3609,type,
    sK2142: 
      !>[X0: $tType] : ( ( X0 * X0 ) > X0 ) ).

tff(func_def_3610,type,
    sK2143: 
      !>[X0: $tType] : ( X0 > X0 ) ).

tff(func_def_3611,type,
    sK2144: 
      !>[X0: $tType] : ( X0 > X0 ) ).

tff(func_def_3612,type,
    sK2145: 
      !>[X0: $tType] : ( X0 > nat ) ).

tff(func_def_3613,type,
    sK2146: fun(real,$o) > nat ).

tff(func_def_3614,type,
    sK2147: fun(real,$o) > real ).

tff(func_def_3615,type,
    sK2148: fun(real,$o) > real ).

tff(func_def_3616,type,
    sK2149: real > nat ).

tff(func_def_3617,type,
    sK2150: fun(real,$o) > nat ).

tff(func_def_3618,type,
    sK2151: fun(real,$o) > real ).

tff(func_def_3619,type,
    sK2152: fun(real,$o) > real ).

tff(func_def_3620,type,
    sK2153: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * set(X1) * fun(set(X0),$o) ) > set(X0) ) ).

tff(func_def_3621,type,
    sK2154: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * set(X1) * fun(set(X0),$o) ) > set(X1) ) ).

tff(func_def_3622,type,
    sK2155: 
      !>[X0: $tType] : ( set(X0) > fun(nat,X0) ) ).

tff(func_def_3623,type,
    sK2156: 
      !>[X0: $tType] : ( set(X0) > fun(nat,X0) ) ).

tff(func_def_3624,type,
    sK2157: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * set(X1) * fun(set(X0),$o) ) > set(X1) ) ).

tff(func_def_3625,type,
    sK2158: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * set(X1) * fun(set(X0),$o) ) > set(X0) ) ).

tff(func_def_3626,type,
    sK2159: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * set(X0) ) > fun(X1,X0) ) ).

tff(func_def_3627,type,
    sK2160: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * set(X1) ) > fun(X0,X1) ) ).

tff(func_def_3628,type,
    sK2161: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,X0) * X0 ) > X1 ) ).

tff(func_def_3629,type,
    sK2162: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * set(X0) * fun(X1,X0) ) > X0 ) ).

tff(func_def_3630,type,
    sK2163: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( set(X2) * fun(X1,X0) * fun(X2,set(X1)) ) > X2 ) ).

tff(func_def_3631,type,
    sK2164: 
      !>[X0: $tType,X1: $tType] : ( fun(X1,X0) > X1 ) ).

tff(func_def_3632,type,
    sK2165: 
      !>[X0: $tType,X1: $tType] : ( fun(X1,X0) > X1 ) ).

tff(func_def_3633,type,
    sK2166: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * set(X1) ) > X1 ) ).

tff(func_def_3634,type,
    sK2167: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * set(X1) ) > X1 ) ).

tff(func_def_3635,type,
    sK2168: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_3636,type,
    sK2169: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_3637,type,
    sK2170: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( set(X2) * fun(X2,set(X1)) * fun(X1,X0) ) > X2 ) ).

tff(func_def_3638,type,
    sK2171: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,set(X0)) ) > X1 ) ).

tff(func_def_3639,type,
    sK2172: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,set(X0)) ) > X1 ) ).

tff(func_def_3640,type,
    sK2173: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X1,X0) * set(X1) ) > set(X1) ) ).

tff(func_def_3641,type,
    sK2174: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * set(X0) ) > fun(X1,X0) ) ).

tff(func_def_3642,type,
    sK2175: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * set(X0) ) > fun(X0,X1) ) ).

tff(func_def_3643,type,
    sK2176: 
      !>[X0: $tType,X1: $tType] : ( ( X0 * fun(X1,X0) ) > X1 ) ).

tff(func_def_3644,type,
    sK2177: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_3645,type,
    sK2178: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X1,X0) * set(X1) ) > set(X1) ) ).

tff(func_def_3646,type,
    sK2179: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * set(X1) * fun(set(X0),$o) ) > set(X0) ) ).

tff(func_def_3647,type,
    sK2180: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * set(X1) * fun(set(X0),$o) ) > set(X1) ) ).

tff(func_def_3648,type,
    sK2181: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * set(X1) * fun(set(X0),$o) ) > set(X1) ) ).

tff(func_def_3649,type,
    sK2182: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * set(X1) * fun(set(X0),$o) ) > set(X0) ) ).

tff(func_def_3650,type,
    sK2183: set(nat) > nat ).

tff(func_def_3651,type,
    sK2184: ( set(nat) * nat ) > nat ).

tff(func_def_3652,type,
    sK2185: set(nat) > nat ).

tff(func_def_3653,type,
    sK2186: ( set(nat) * nat ) > nat ).

tff(func_def_3654,type,
    sK2187: ( nat * set(nat) ) > nat ).

tff(func_def_3655,type,
    sK2188: 
      !>[X0: $tType] : ( ( set(X0) * fun(X0,nat) * X0 ) > X0 ) ).

tff(func_def_3656,type,
    sK2189: 
      !>[X0: $tType] : ( ( set(X0) * fun(X0,nat) ) > X0 ) ).

tff(func_def_3657,type,
    sK2190: 
      !>[X0: $tType] : ( ( set(X0) * fun(X0,nat) * X0 ) > X0 ) ).

tff(func_def_3658,type,
    sK2191: 
      !>[X0: $tType] : ( ( set(X0) * fun(X0,nat) ) > X0 ) ).

tff(func_def_3659,type,
    sK2192: 
      !>[X0: $tType] : ( fun(set(X0),$o) > set(X0) ) ).

tff(func_def_3660,type,
    sK2193: ( set(nat) * nat ) > nat ).

tff(func_def_3661,type,
    sK2194: set(nat) > nat ).

tff(func_def_3662,type,
    sK2195: ( set(nat) * nat ) > nat ).

tff(func_def_3663,type,
    sK2196: ( set(nat) * nat ) > nat ).

tff(func_def_3664,type,
    sK2197: set(nat) > nat ).

tff(func_def_3665,type,
    sK2198: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X1,X0) * set(X1) ) > set(X1) ) ).

tff(func_def_3666,type,
    sK2199: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * set(X0) * set(X1) ) > X0 ) ).

tff(func_def_3667,type,
    sK2200: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X1,X0) * set(X1) ) > set(X1) ) ).

tff(func_def_3668,type,
    sK2201: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,X1) * set(X1) ) > X0 ) ).

tff(func_def_3669,type,
    sK2202: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * set(X1) * fun(set(X0),$o) ) > set(X1) ) ).

tff(func_def_3670,type,
    sK2203: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * set(X1) * fun(set(X0),$o) ) > set(X0) ) ).

tff(func_def_3671,type,
    sK2204: 
      !>[X0: $tType,X1: $tType] : ( ( X0 * fun(X1,X0) * set(X1) ) > X1 ) ).

tff(func_def_3672,type,
    sK2205: ( fun(nat,real) * fun(nat,nat) ) > nat ).

tff(func_def_3673,type,
    sK2206: fun(nat,real) > nat ).

tff(func_def_3674,type,
    sK2207: fun(nat,real) > nat ).

tff(func_def_3675,type,
    sK2208: fun(nat,real) > nat ).

tff(func_def_3676,type,
    sK2209: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( set(X2) * fun(X2,X0) * fun(X0,X1) ) > X2 ) ).

tff(func_def_3677,type,
    sK2210: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( set(X2) * fun(X2,X0) * fun(X0,X1) ) > X2 ) ).

tff(func_def_3678,type,
    sK2211: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * set(set(X1)) ) > set(X1) ) ).

tff(func_def_3679,type,
    sK2212: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * set(set(X1)) ) > set(X1) ) ).

tff(func_def_3680,type,
    sK2213: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * set(set(X1)) ) > X1 ) ).

tff(func_def_3681,type,
    sK2214: 
      !>[X0: $tType] : ( set(set(X0)) > set(X0) ) ).

tff(func_def_3682,type,
    sK2215: 
      !>[X0: $tType,X1: $tType] : ( fun(X1,X0) > X1 ) ).

tff(func_def_3683,type,
    sK2216: 
      !>[X0: $tType,X1: $tType] : ( fun(X1,X0) > X1 ) ).

tff(func_def_3684,type,
    sK2217: ( int * set(int) * int ) > int ).

tff(func_def_3685,type,
    sK2218: ( int * set(int) * int ) > int ).

tff(func_def_3686,type,
    sK2219: ( int * set(int) * int ) > int ).

tff(func_def_3687,type,
    sK2220: ( int * set(int) * int ) > int ).

tff(func_def_3688,type,
    sK2221: ( int * set(int) * int ) > int ).

tff(func_def_3689,type,
    sK2222: ( int * set(int) * int ) > int ).

tff(func_def_3690,type,
    sK2223: ( int * set(int) * int ) > int ).

tff(func_def_3691,type,
    sK2224: ( int * set(int) * int ) > int ).

tff(func_def_3692,type,
    sK2225: fun(int,$o) > int ).

tff(func_def_3693,type,
    sK2226: ( int * fun(int,$o) ) > int ).

tff(func_def_3694,type,
    sK2227: ( int * set(int) * fun(int,$o) ) > int ).

tff(func_def_3695,type,
    sK2228: ( int * set(int) * fun(int,$o) ) > int ).

tff(func_def_3696,type,
    sK2229: ( int * fun(int,$o) ) > int ).

tff(func_def_3697,type,
    sK2230: ( int * fun(int,$o) ) > int ).

tff(func_def_3698,type,
    sK2231: ( int * fun(int,$o) * set(int) ) > int ).

tff(func_def_3699,type,
    sK2232: ( fun(int,$o) * fun(int,$o) * int ) > int ).

tff(func_def_3700,type,
    sK2233: fun(int,$o) > int ).

tff(func_def_3701,type,
    sK2234: ( int * fun(int,$o) ) > int ).

tff(func_def_3702,type,
    sK2235: ( int * set(int) * fun(int,$o) ) > int ).

tff(func_def_3703,type,
    sK2236: ( int * set(int) * fun(int,$o) ) > int ).

tff(func_def_3704,type,
    sK2237: ( int * fun(int,$o) ) > int ).

tff(func_def_3705,type,
    sK2238: ( int * fun(int,$o) ) > int ).

tff(func_def_3706,type,
    sK2239: ( int * fun(int,$o) * set(int) ) > int ).

tff(func_def_3707,type,
    sK2240: ( fun(int,$o) * fun(int,$o) * int ) > int ).

tff(func_def_3708,type,
    sK2241: ( int * set(int) * int ) > int ).

tff(func_def_3709,type,
    sK2242: ( int * set(int) * int ) > int ).

tff(func_def_3710,type,
    sK2243: ( int * set(int) * int ) > int ).

tff(func_def_3711,type,
    sK2244: ( int * set(int) * int ) > int ).

tff(func_def_3712,type,
    sK2245: ( int * set(int) * int ) > int ).

tff(func_def_3713,type,
    sK2246: ( int * set(int) * int ) > int ).

tff(func_def_3714,type,
    sK2247: ( int * set(int) * int ) > int ).

tff(func_def_3715,type,
    sK2248: ( int * set(int) * int ) > int ).

tff(func_def_3716,type,
    sK2249: ( int * set(int) * int ) > int ).

tff(func_def_3717,type,
    sK2250: ( int * set(int) * int ) > int ).

tff(func_def_3718,type,
    sK2251: ( int * set(int) * int ) > int ).

tff(func_def_3719,type,
    sK2252: ( int * set(int) * int ) > int ).

tff(func_def_3720,type,
    sK2253: ( int * set(int) * int ) > int ).

tff(func_def_3721,type,
    sK2254: ( int * set(int) * int ) > int ).

tff(func_def_3722,type,
    sK2255: ( int * set(int) * int ) > int ).

tff(func_def_3723,type,
    sK2256: ( int * set(int) * int ) > int ).

tff(func_def_3724,type,
    sK2257: ( int * set(int) * int ) > int ).

tff(func_def_3725,type,
    sK2258: ( int * set(int) * int ) > int ).

tff(func_def_3726,type,
    sK2259: ( int * set(int) * int ) > int ).

tff(func_def_3727,type,
    sK2260: ( int * set(int) * int ) > int ).

tff(func_def_3728,type,
    sK2261: ( int * set(int) * int ) > int ).

tff(func_def_3729,type,
    sK2262: ( int * set(int) * int ) > int ).

tff(func_def_3730,type,
    sK2263: ( int * set(int) * int ) > int ).

tff(func_def_3731,type,
    sK2264: ( int * set(int) * int ) > int ).

tff(func_def_3732,type,
    sK2265: fun(int,$o) > int ).

tff(func_def_3733,type,
    sK2266: ( int * fun(int,$o) ) > int ).

tff(func_def_3734,type,
    sK2267: ( int * fun(int,$o) ) > int ).

tff(func_def_3735,type,
    sK2268: ( int * fun(int,$o) ) > int ).

tff(func_def_3736,type,
    sK2269: ( int * fun(int,$o) * set(int) ) > int ).

tff(func_def_3737,type,
    sK2270: ( int * set(int) * int ) > int ).

tff(func_def_3738,type,
    sK2271: ( int * set(int) * int ) > int ).

tff(func_def_3739,type,
    sK2272: ( int * set(int) * fun(int,$o) ) > int ).

tff(func_def_3740,type,
    sK2273: ( int * fun(int,$o) * set(int) ) > int ).

tff(func_def_3741,type,
    sK2274: ( int * set(int) * int ) > int ).

tff(func_def_3742,type,
    sK2275: ( int * set(int) * int ) > int ).

tff(func_def_3743,type,
    sK2276: ( int * set(int) * fun(int,$o) ) > int ).

tff(func_def_3744,type,
    sK2277: ( int * fun(int,$o) * set(int) ) > int ).

tff(func_def_3745,type,
    sK2278: ( int * set(int) * int ) > int ).

tff(func_def_3746,type,
    sK2279: ( int * set(int) * int ) > int ).

tff(func_def_3747,type,
    sK2280: ( int * set(int) * fun(int,$o) ) > int ).

tff(func_def_3748,type,
    sK2281: ( int * fun(int,$o) * set(int) ) > int ).

tff(func_def_3749,type,
    sK2282: ( int * set(int) * int ) > int ).

tff(func_def_3750,type,
    sK2283: ( int * set(int) * int ) > int ).

tff(func_def_3751,type,
    sK2284: ( int * set(int) * fun(int,$o) ) > int ).

tff(func_def_3752,type,
    sK2285: ( nat * fun(nat,$o) ) > nat ).

tff(func_def_3753,type,
    sK2286: ( nat * fun(nat,$o) ) > nat ).

tff(func_def_3754,type,
    sK2287: ( nat * fun(nat,$o) ) > nat ).

tff(func_def_3755,type,
    sK2288: ( nat * fun(nat,$o) ) > nat ).

tff(func_def_3756,type,
    sK2289: 
      !>[X0: $tType] : ( ( fun(X0,nat) * set(X0) ) > X0 ) ).

tff(func_def_3757,type,
    sK2290: ( nat * nat ) > nat ).

tff(func_def_3758,type,
    sK2291: ( nat * nat ) > nat ).

tff(func_def_3759,type,
    sK2292: ( nat * nat ) > nat ).

tff(func_def_3760,type,
    sK2293: ( nat * nat ) > nat ).

tff(func_def_3761,type,
    sK2294: ( nat * nat ) > nat ).

tff(func_def_3762,type,
    sK2295: ( nat * nat ) > nat ).

tff(func_def_3763,type,
    sK2296: ( nat * nat ) > nat ).

tff(func_def_3764,type,
    sK2297: ( nat * nat ) > nat ).

tff(func_def_3765,type,
    sK2298: ( nat * nat ) > nat ).

tff(func_def_3766,type,
    sK2299: ( nat * nat * nat ) > nat ).

tff(func_def_3767,type,
    sK2300: ( nat * nat * nat ) > nat ).

tff(func_def_3768,type,
    sK2301: 
      !>[X0: $tType,X1: $tType] : ( ( X0 * product_prod(X0,X1) ) > X1 ) ).

tff(func_def_3769,type,
    sK2302: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,set(X1)) * set(X1) ) > X0 ) ).

tff(func_def_3770,type,
    sK2303: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( fun(X1,fun(X0,fun(X2,$o))) * set(X1) * X0 * X2 ) > X1 ) ).

tff(func_def_3771,type,
    sK2304: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,fun(X1,$o)) * set(X0) * X1 ) > X0 ) ).

tff(func_def_3772,type,
    sK2305: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,set(X0)) * fun(X1,set(X0)) ) > X1 ) ).

tff(func_def_3773,type,
    sK2306: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,set(X1)) * set(X1) ) > X0 ) ).

tff(func_def_3774,type,
    sK2307: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,set(X1)) * set(X0) * set(X1) ) > X0 ) ).

tff(func_def_3775,type,
    sK2308: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,set(X1)) * set(X0) ) > X0 ) ).

tff(func_def_3776,type,
    sK2309: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,set(X1)) * set(X0) ) > X0 ) ).

tff(func_def_3777,type,
    sK2310: 
      !>[X0: $tType,X1: $tType] : ( ( X0 * fun(X1,set(X0)) * set(X1) ) > X1 ) ).

tff(func_def_3778,type,
    sK2311: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,set(X0)) ) > X1 ) ).

tff(func_def_3779,type,
    sK2312: 
      !>[X0: $tType,X1: $tType] : ( ( X0 * fun(X1,set(X0)) * set(X1) ) > X1 ) ).

tff(func_def_3780,type,
    sK2313: 
      !>[X0: $tType] : ( ( set(set(X0)) * set(X0) ) > set(X0) ) ).

tff(func_def_3781,type,
    sK2314: 
      !>[X0: $tType] : ( ( set(set(X0)) * set(set(X0)) ) > set(X0) ) ).

tff(func_def_3782,type,
    sK2315: 
      !>[X0: $tType] : ( ( set(X0) * set(set(X0)) ) > set(set(X0)) ) ).

tff(func_def_3783,type,
    sK2316: 
      !>[X0: $tType] : ( ( set(X0) * fun(X0,$o) ) > X0 ) ).

tff(func_def_3784,type,
    sK2317: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,$o) * fun(X0,X1) * set(X1) ) > X0 ) ).

tff(func_def_3785,type,
    sK2318: 
      !>[X0: $tType] : ( fun(X0,$o) > X0 ) ).

tff(func_def_3786,type,
    sK2319: 
      !>[X0: $tType] : ( ( fun(X0,$o) * fun(X0,$o) ) > X0 ) ).

tff(func_def_3787,type,
    sK2320: 
      !>[X0: $tType] : ( ( fun(X0,$o) * fun(X0,$o) ) > X0 ) ).

tff(func_def_3788,type,
    sK2321: 
      !>[X0: $tType] : ( ( fun(X0,$o) * fun(X0,$o) ) > X0 ) ).

tff(func_def_3789,type,
    sK2322: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,set(X1)) * set(X0) ) > X0 ) ).

tff(func_def_3790,type,
    sK2323: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,set(X1)) * set(X0) ) > X0 ) ).

tff(func_def_3791,type,
    sK2324: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( set(X1) * fun(X1,fun(X0,fun(X2,$o))) * X0 * X2 ) > X1 ) ).

tff(func_def_3792,type,
    sK2325: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,fun(X1,$o)) * X1 ) > X0 ) ).

tff(func_def_3793,type,
    sK2326: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * set(X0) * fun(X1,set(X0)) ) > X1 ) ).

tff(func_def_3794,type,
    sK2327: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,set(X0)) * fun(X1,set(X0)) ) > X1 ) ).

tff(func_def_3795,type,
    sK2328: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X1,set(X0)) * set(X1) ) > X1 ) ).

tff(func_def_3796,type,
    sK2329: 
      !>[X0: $tType,X1: $tType] : ( ( X0 * fun(X1,set(X0)) * set(X1) ) > X1 ) ).

tff(func_def_3797,type,
    sK2330: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * X0 * fun(X1,set(X0)) ) > X1 ) ).

tff(func_def_3798,type,
    sK2331: 
      !>[X0: $tType] : ( ( set(set(X0)) * set(X0) ) > set(X0) ) ).

tff(func_def_3799,type,
    sK2332: 
      !>[X0: $tType] : ( ( set(set(X0)) * set(X0) ) > set(X0) ) ).

tff(func_def_3800,type,
    sK2333: ( fun(real,real) * real ) > real ).

tff(func_def_3801,type,
    sK2334: ( fun(real,real) * real ) > real ).

tff(func_def_3802,type,
    sK2335: ( fun(real,real) * real ) > real ).

tff(func_def_3803,type,
    sK2336: set(int) > int ).

tff(func_def_3804,type,
    sK2337: ( set(int) * int ) > int ).

tff(func_def_3805,type,
    sK2338: ( nat * fun(nat,int) * int ) > nat ).

tff(func_def_3806,type,
    sK2339: ( nat * fun(nat,int) ) > nat ).

tff(func_def_3807,type,
    sK2340: ( nat * fun(nat,int) * int ) > nat ).

tff(func_def_3808,type,
    sK2341: ( nat * fun(nat,int) ) > nat ).

tff(func_def_3809,type,
    sK2342: ( fun(nat,int) * nat * nat ) > nat ).

tff(func_def_3810,type,
    sK2343: ( nat * nat * fun(nat,int) * int ) > nat ).

tff(func_def_3811,type,
    sK2344: ( real * real * real ) > real ).

tff(func_def_3812,type,
    sK2345: ( real * real * real ) > real ).

tff(func_def_3813,type,
    sK2346: 
      !>[X0: $tType] : ( ( fun(nat,set(X0)) * fun(nat,set(X0)) * nat ) > nat ) ).

tff(func_def_3814,type,
    sK2347: 
      !>[X0: $tType] : ( ( fun(nat,set(X0)) * fun(nat,set(X0)) * nat ) > nat ) ).

tff(func_def_3815,type,
    sK2348: 
      !>[X0: $tType] : ( ( fun(nat,set(X0)) * set(X0) ) > nat ) ).

tff(func_def_3816,type,
    sK2349: ( nat * fun(nat,$o) ) > nat ).

tff(func_def_3817,type,
    sK2350: ( nat * fun(nat,$o) ) > nat ).

tff(func_def_3818,type,
    sK2351: ( nat * fun(nat,$o) ) > nat ).

tff(func_def_3819,type,
    sK2352: ( nat * fun(nat,$o) ) > nat ).

tff(func_def_3820,type,
    sK2353: 
      !>[X0: $tType] : ( ( fun(X0,$o) * fun(X0,$o) * fun(X0,$o) ) > X0 ) ).

tff(func_def_3821,type,
    sK2354: ( fun(nat,$o) * nat ) > nat ).

tff(func_def_3822,type,
    sK2355: fun(nat,$o) > nat ).

tff(func_def_3823,type,
    sK2356: ( nat * fun(nat,$o) ) > nat ).

tff(func_def_3824,type,
    sK2357: ( fun(nat,real) * real ) > real ).

tff(func_def_3825,type,
    sK2358: ( fun(nat,real) * real ) > nat ).

tff(func_def_3826,type,
    sK2359: fun(nat,real) > nat ).

tff(func_def_3827,type,
    sK2360: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,filter(X1)) ) > X0 ) ).

tff(func_def_3828,type,
    sK2361: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,filter(X1)) ) > X0 ) ).

tff(func_def_3829,type,
    sK2362: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,filter(X0)) * fun(X0,$o) ) > X1 ) ).

tff(func_def_3830,type,
    sK2363: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,$o) * fun(X1,filter(X0)) * set(X1) ) > set(X1) ) ).

tff(func_def_3831,type,
    sK2364: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,filter(X1)) * fun(X0,fun(X1,$o)) ) > X0 ) ).

tff(func_def_3832,type,
    sK2365: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X1,$o) * fun(X0,fun(X1,$o)) ) > X1 ) ).

tff(func_def_3833,type,
    sK2366: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X1,$o) * fun(X0,filter(X1)) ) > fun(X0,fun(X1,$o)) ) ).

tff(func_def_3834,type,
    sK2367: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X1,$o) * fun(X0,filter(X1)) * X1 ) > X0 ) ).

tff(func_def_3835,type,
    sK2368: 
      !>[X0: $tType] : ( fun(X0,$o) > X0 ) ).

tff(func_def_3836,type,
    sK2369: filter(nat) > nat ).

tff(func_def_3837,type,
    sK2370: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( fun(X2,X1) * fun(X0,filter(X1)) * set(X0) * filter(X2) ) > X0 ) ).

tff(func_def_3838,type,
    sK2371: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,filter(X1)) ) > X0 ) ).

tff(func_def_3839,type,
    sK2372: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,filter(X1)) ) > X0 ) ).

tff(func_def_3840,type,
    sK2373: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,filter(X1)) ) > X0 ) ).

tff(func_def_3841,type,
    sK2374: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,filter(X1)) ) > set(X0) ) ).

tff(func_def_3842,type,
    sK2375: 
      !>[X0: $tType] : ( ( set(X0) * fun(X0,nat) ) > X0 ) ).

tff(func_def_3843,type,
    sK2376: 
      !>[X0: $tType] : ( ( set(X0) * fun(X0,nat) ) > X0 ) ).

tff(func_def_3844,type,
    sK2377: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_3845,type,
    sK2378: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_3846,type,
    sK2379: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_3847,type,
    sK2380: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_3848,type,
    sK2381: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * set(X1) * fun(X1,X0) * fun(X1,X0) ) > X1 ) ).

tff(func_def_3849,type,
    sK2382: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_3850,type,
    sK2383: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * set(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_3851,type,
    sK2384: 
      !>[X0: $tType] : ( ( set(X0) * fun(X0,$o) * fun(X0,$o) ) > X0 ) ).

tff(func_def_3852,type,
    sK2385: 
      !>[X0: $tType] : ( ( fun(nat,set(X0)) * nat ) > nat ) ).

tff(func_def_3853,type,
    sK2386: 
      !>[X0: $tType] : ( ( fun(nat,set(X0)) * nat ) > nat ) ).

tff(func_def_3854,type,
    sK2387: 
      !>[X0: $tType] : ( ( fun(nat,set(X0)) * nat ) > nat ) ).

tff(func_def_3855,type,
    sK2388: 
      !>[X0: $tType] : ( ( fun(nat,set(X0)) * set(X0) ) > nat ) ).

tff(func_def_3856,type,
    sK2389: 
      !>[X0: $tType] : ( set(set(X0)) > set(X0) ) ).

tff(func_def_3857,type,
    sK2390: 
      !>[X0: $tType] : ( set(set(X0)) > set(X0) ) ).

tff(func_def_3858,type,
    sK2391: 
      !>[X0: $tType] : ( ( set(set(X0)) * nat ) > set(X0) ) ).

tff(func_def_3859,type,
    sK2392: 
      !>[X0: $tType] : ( set(set(X0)) > set(X0) ) ).

tff(func_def_3860,type,
    sK2393: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,X1) * X1 ) > X0 ) ).

tff(func_def_3861,type,
    sK2394: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,X0) * real ) > X1 ) ).

tff(func_def_3862,type,
    sK2395: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_3863,type,
    sK2396: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_3864,type,
    sK2397: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_3865,type,
    sK2398: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_3866,type,
    sK2399: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_3867,type,
    sK2400: 
      !>[X0: $tType] : ( ( nat * set(X0) ) > X0 ) ).

tff(func_def_3868,type,
    sK2401: 
      !>[X0: $tType] : ( ( nat * set(X0) ) > set(X0) ) ).

tff(func_def_3869,type,
    sK2402: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_3870,type,
    sK2403: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_3871,type,
    sK2404: 
      !>[X0: $tType] : ( ( set(X0) * nat ) > X0 ) ).

tff(func_def_3872,type,
    sK2405: 
      !>[X0: $tType] : ( ( set(X0) * nat ) > set(X0) ) ).

tff(func_def_3873,type,
    sK2406: 
      !>[X0: $tType] : ( ( set(X0) * nat ) > X0 ) ).

tff(func_def_3874,type,
    sK2407: 
      !>[X0: $tType] : ( ( set(X0) * nat ) > set(X0) ) ).

tff(func_def_3875,type,
    sK2408: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_3876,type,
    sK2409: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_3877,type,
    sK2410: 
      !>[X0: $tType] : ( ( nat * set(X0) ) > set(X0) ) ).

tff(func_def_3878,type,
    sK2411: 
      !>[X0: $tType] : ( ( set(X0) * nat ) > set(X0) ) ).

tff(func_def_3879,type,
    sK2412: 
      !>[X0: $tType] : ( ( set(X0) * nat ) > X0 ) ).

tff(func_def_3880,type,
    sK2413: 
      !>[X0: $tType] : ( ( set(X0) * nat ) > set(X0) ) ).

tff(func_def_3881,type,
    sK2414: 
      !>[X0: $tType] : ( ( set(X0) * X0 * X0 ) > X0 ) ).

tff(func_def_3882,type,
    sK2415: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_3883,type,
    sK2416: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_3884,type,
    sK2417: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,fun(X1,$o)) * set(X1) * set(X0) ) > X0 ) ).

tff(func_def_3885,type,
    sK2418: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,fun(X1,$o)) * set(X1) * set(X0) ) > X0 ) ).

tff(func_def_3886,type,
    sK2419: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,fun(X1,$o)) * set(X1) * set(X0) ) > X1 ) ).

tff(func_def_3887,type,
    sK2420: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * set(X0) * fun(X0,fun(X1,$o)) ) > X0 ) ).

tff(func_def_3888,type,
    sK2421: 
      !>[X0: $tType] : ( ( set(X0) * nat ) > set(X0) ) ).

tff(func_def_3889,type,
    sK2422: 
      !>[X0: $tType] : ( fun(nat,X0) > real ) ).

tff(func_def_3890,type,
    sK2423: 
      !>[X0: $tType] : ( ( fun(nat,X0) * nat ) > nat ) ).

tff(func_def_3891,type,
    sK2424: 
      !>[X0: $tType] : ( ( fun(nat,X0) * nat ) > nat ) ).

tff(func_def_3892,type,
    sK2425: 
      !>[X0: $tType] : ( ( fun(nat,X0) * real ) > nat ) ).

tff(func_def_3893,type,
    sK2426: 
      !>[X0: $tType] : ( ( real * nat * fun(nat,X0) ) > nat ) ).

tff(func_def_3894,type,
    sK2427: 
      !>[X0: $tType] : ( ( fun(nat,X0) * real ) > nat ) ).

tff(func_def_3895,type,
    sK2428: 
      !>[X0: $tType] : ( ( fun(nat,X0) * fun(nat,real) * nat ) > nat ) ).

tff(func_def_3896,type,
    sK2429: 
      !>[X0: $tType] : ( ( fun(nat,real) * nat * fun(nat,X0) ) > nat ) ).

tff(func_def_3897,type,
    sK2430: 
      !>[X0: $tType] : ( ( set(nat) * fun(nat,X0) ) > nat ) ).

tff(func_def_3898,type,
    sK2431: ( fun(nat,real) * nat ) > nat ).

tff(func_def_3899,type,
    sK2432: ( real * fun(real,real) ) > real ).

tff(func_def_3900,type,
    sK2433: ( fun(real,real) * real * real ) > real ).

tff(func_def_3901,type,
    sK2434: ( fun(real,real) * real * real ) > real ).

tff(func_def_3902,type,
    sK2435: ( fun(real,real) * real ) > real ).

tff(func_def_3903,type,
    sK2436: ( fun(real,real) * fun(real,real) * real * real ) > real ).

tff(func_def_3904,type,
    sK2437: ( real * real * fun(real,real) * fun(real,real) ) > real ).

tff(func_def_3905,type,
    sK2438: ( real * real * fun(real,real) ) > real ).

tff(func_def_3906,type,
    sK2439: ( real * real * fun(real,real) ) > real ).

tff(func_def_3907,type,
    sK2440: ( fun(real,real) * real ) > real ).

tff(func_def_3908,type,
    sK2441: ( fun(real,real) * real ) > real ).

tff(func_def_3909,type,
    sK2442: ( fun(real,real) * real ) > real ).

tff(func_def_3910,type,
    sK2443: ( fun(real,real) * real ) > real ).

tff(func_def_3911,type,
    sK2444: ( fun(real,real) * real * real ) > real ).

tff(func_def_3912,type,
    sK2445: ( fun(real,real) * real * set(real) ) > real ).

tff(func_def_3913,type,
    sK2446: ( fun(real,real) * real * set(real) ) > real ).

tff(func_def_3914,type,
    sK2447: ( fun(real,real) * real * set(real) ) > real ).

tff(func_def_3915,type,
    sK2448: ( fun(real,real) * real * set(real) ) > real ).

tff(func_def_3916,type,
    sK2449: ( fun(real,real) * real ) > real ).

tff(func_def_3917,type,
    sK2450: ( fun(real,real) * real ) > real ).

tff(func_def_3918,type,
    sK2451: ( real * real * fun(real,real) ) > real ).

tff(func_def_3919,type,
    sK2452: ( real * real * fun(real,real) ) > real ).

tff(func_def_3920,type,
    sK2453: ( real * real * fun(real,real) ) > real ).

tff(func_def_3921,type,
    sK2454: ( real * real * fun(real,real) * fun(real,real) ) > real ).

tff(func_def_3922,type,
    sK2455: 
      !>[X0: $tType] : ( fun(nat,X0) > nat ) ).

tff(func_def_3923,type,
    sK2456: 
      !>[X0: $tType] : ( ( fun(nat,X0) * X0 * real ) > nat ) ).

tff(func_def_3924,type,
    sK2457: 
      !>[X0: $tType] : ( ( fun(nat,X0) * X0 ) > real ) ).

tff(func_def_3925,type,
    sK2458: 
      !>[X0: $tType] : ( ( fun(nat,X0) * X0 * nat ) > nat ) ).

tff(func_def_3926,type,
    sK2459: 
      !>[X0: $tType] : ( ( fun(nat,X0) * X0 ) > real ) ).

tff(func_def_3927,type,
    sK2460: 
      !>[X0: $tType] : ( ( fun(nat,X0) * X0 * nat ) > nat ) ).

tff(func_def_3928,type,
    sK2461: 
      !>[X0: $tType] : ( ( fun(nat,X0) * X0 * real ) > nat ) ).

tff(func_def_3929,type,
    sK2462: 
      !>[X0: $tType,X1: $tType] : ( ( real * fun(X1,X0) * real ) > X1 ) ).

tff(func_def_3930,type,
    sK2463: 
      !>[X0: $tType,X1: $tType] : ( ( real * X1 * fun(X1,X0) * fun(X1,X0) ) > X1 ) ).

tff(func_def_3931,type,
    sK2464: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * X0 * X1 ) > real ) ).

tff(func_def_3932,type,
    sK2465: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * X0 * X1 * real ) > X1 ) ).

tff(func_def_3933,type,
    sK2466: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * X0 * X1 * real ) > real ) ).

tff(func_def_3934,type,
    sK2467: 
      !>[X0: $tType,X1: $tType] : ( ( X1 * fun(X1,X0) * X0 ) > real ) ).

tff(func_def_3935,type,
    sK2468: 
      !>[X0: $tType,X1: $tType] : ( ( X1 * fun(X1,X0) * X0 * real ) > X1 ) ).

tff(func_def_3936,type,
    sK2469: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * X0 * X1 * real ) > real ) ).

tff(func_def_3937,type,
    sK2470: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( fun(X2,X0) * X0 * X2 * fun(X2,X1) * X1 ) > X2 ) ).

tff(func_def_3938,type,
    sK2471: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,X0) * fun(X1,real) ) > X1 ) ).

tff(func_def_3939,type,
    sK2472: 
      !>[X0: $tType,X1: $tType] : ( fun(X0,X1) > real ) ).

tff(func_def_3940,type,
    sK2473: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * nat ) > X0 ) ).

tff(func_def_3941,type,
    sK2474: 
      !>[X0: $tType,X1: $tType] : ( fun(X0,X1) > nat ) ).

tff(func_def_3942,type,
    sK2475: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * real ) > X0 ) ).

tff(func_def_3943,type,
    sK2476: 
      !>[X0: $tType,X1: $tType] : ( fun(X0,X1) > real ) ).

tff(func_def_3944,type,
    sK2477: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * nat ) > X0 ) ).

tff(func_def_3945,type,
    sK2478: 
      !>[X0: $tType,X1: $tType] : ( fun(X0,X1) > nat ) ).

tff(func_def_3946,type,
    sK2479: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * real ) > X0 ) ).

tff(func_def_3947,type,
    sK2480: product_prod(num,num) > num ).

tff(func_def_3948,type,
    sK2481: product_prod(num,num) > num ).

tff(func_def_3949,type,
    sK2482: product_prod(num,num) > num ).

tff(func_def_3950,type,
    sK2483: product_prod(num,num) > num ).

tff(func_def_3951,type,
    sK2484: product_prod(num,num) > num ).

tff(func_def_3952,type,
    sK2485: product_prod(num,num) > num ).

tff(func_def_3953,type,
    sK2486: product_prod(num,num) > num ).

tff(func_def_3954,type,
    sK2487: product_prod(num,num) > num ).

tff(func_def_3955,type,
    sK2488: product_prod(num,num) > num ).

tff(func_def_3956,type,
    sK2489: product_prod(num,num) > num ).

tff(func_def_3957,type,
    sK2490: product_prod(num,num) > num ).

tff(func_def_3958,type,
    sK2491: product_prod(num,num) > num ).

tff(func_def_3959,type,
    sK2492: num > num ).

tff(func_def_3960,type,
    sK2493: num > num ).

tff(func_def_3961,type,
    sK2494: vEBT_VEBT > nat ).

tff(func_def_3962,type,
    sK2495: 
      !>[X0: $tType] : ( ( nat * list(X0) * list(X0) ) > nat ) ).

tff(func_def_3963,type,
    sK2496: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) ) > nat ) ).

tff(func_def_3964,type,
    sK2497: 
      !>[X0: $tType] : ( ( list(X0) * set(nat) ) > nat ) ).

tff(func_def_3965,type,
    sK2498: 
      !>[X0: $tType] : ( list(X0) > list(X0) ) ).

tff(func_def_3966,type,
    sK2499: 
      !>[X0: $tType] : ( list(X0) > list(X0) ) ).

tff(func_def_3967,type,
    sK2500: 
      !>[X0: $tType] : ( list(X0) > list(X0) ) ).

tff(func_def_3968,type,
    sK2501: 
      !>[X0: $tType] : ( list(X0) > X0 ) ).

tff(func_def_3969,type,
    sK2502: 
      !>[X0: $tType] : ( list(X0) > list(X0) ) ).

tff(func_def_3970,type,
    sK2503: 
      !>[X0: $tType] : ( list(X0) > X0 ) ).

tff(func_def_3971,type,
    sK2504: 
      !>[X0: $tType] : ( list(X0) > list(X0) ) ).

tff(func_def_3972,type,
    sK2505: 
      !>[X0: $tType] : ( ( list(X0) * X0 ) > nat ) ).

tff(func_def_3973,type,
    sK2506: 
      !>[X0: $tType] : ( list(X0) > nat ) ).

tff(func_def_3974,type,
    sK2507: 
      !>[X0: $tType] : ( list(X0) > nat ) ).

tff(func_def_3975,type,
    sK2508: 
      !>[X0: $tType] : ( set(X0) > list(X0) ) ).

tff(pred_def_1,type,
    bounded_lattice: 
      !>[X0: $tType] : $o ).

tff(pred_def_2,type,
    type: 
      !>[X0: $tType] : $o ).

tff(pred_def_3,type,
    size: 
      !>[X0: $tType] : $o ).

tff(pred_def_4,type,
    dvd: 
      !>[X0: $tType] : $o ).

tff(pred_def_5,type,
    one: 
      !>[X0: $tType] : $o ).

tff(pred_def_6,type,
    idom: 
      !>[X0: $tType] : $o ).

tff(pred_def_7,type,
    ring: 
      !>[X0: $tType] : $o ).

tff(pred_def_8,type,
    plus: 
      !>[X0: $tType] : $o ).

tff(pred_def_9,type,
    zero: 
      !>[X0: $tType] : $o ).

tff(pred_def_10,type,
    numeral: 
      !>[X0: $tType] : $o ).

tff(pred_def_11,type,
    power: 
      !>[X0: $tType] : $o ).

tff(pred_def_12,type,
    field: 
      !>[X0: $tType] : $o ).

tff(pred_def_13,type,
    ring_gcd: 
      !>[X0: $tType] : $o ).

tff(pred_def_14,type,
    minus: 
      !>[X0: $tType] : $o ).

tff(pred_def_15,type,
    abs_if: 
      !>[X0: $tType] : $o ).

tff(pred_def_16,type,
    ring_1: 
      !>[X0: $tType] : $o ).

tff(pred_def_17,type,
    uminus: 
      !>[X0: $tType] : $o ).

tff(pred_def_18,type,
    ord: 
      !>[X0: $tType] : $o ).

tff(pred_def_19,type,
    inverse: 
      !>[X0: $tType] : $o ).

tff(pred_def_20,type,
    semiring: 
      !>[X0: $tType] : $o ).

tff(pred_def_21,type,
    ring_char_0: 
      !>[X0: $tType] : $o ).

tff(pred_def_22,type,
    neg_numeral: 
      !>[X0: $tType] : $o ).

tff(pred_def_23,type,
    order: 
      !>[X0: $tType] : $o ).

tff(pred_def_24,type,
    comm_ring: 
      !>[X0: $tType] : $o ).

tff(pred_def_25,type,
    mult_zero: 
      !>[X0: $tType] : $o ).

tff(pred_def_26,type,
    semiring_Gcd: 
      !>[X0: $tType] : $o ).

tff(pred_def_27,type,
    semiring_gcd: 
      !>[X0: $tType] : $o ).

tff(pred_def_28,type,
    group_add: 
      !>[X0: $tType] : $o ).

tff(pred_def_29,type,
    lattice: 
      !>[X0: $tType] : $o ).

tff(pred_def_30,type,
    no_bot: 
      !>[X0: $tType] : $o ).

tff(pred_def_31,type,
    no_top: 
      !>[X0: $tType] : $o ).

tff(pred_def_32,type,
    semiring_0: 
      !>[X0: $tType] : $o ).

tff(pred_def_33,type,
    semiring_1: 
      !>[X0: $tType] : $o ).

tff(pred_def_34,type,
    finite_finite: 
      !>[X0: $tType] : $o ).

tff(pred_def_35,type,
    monoid_add: 
      !>[X0: $tType] : $o ).

tff(pred_def_36,type,
    comm_ring_1: 
      !>[X0: $tType] : $o ).

tff(pred_def_37,type,
    idom_divide: 
      !>[X0: $tType] : $o ).

tff(pred_def_38,type,
    idom_modulo: 
      !>[X0: $tType] : $o ).

tff(pred_def_39,type,
    ln: 
      !>[X0: $tType] : $o ).

tff(pred_def_40,type,
    monoid_mult: 
      !>[X0: $tType] : $o ).

tff(pred_def_41,type,
    linorder: 
      !>[X0: $tType] : $o ).

tff(pred_def_42,type,
    preorder: 
      !>[X0: $tType] : $o ).

tff(pred_def_43,type,
    ring_parity: 
      !>[X0: $tType] : $o ).

tff(pred_def_44,type,
    idom_abs_sgn: 
      !>[X0: $tType] : $o ).

tff(pred_def_45,type,
    ordered_ring: 
      !>[X0: $tType] : $o ).

tff(pred_def_46,type,
    zero_neq_one: 
      !>[X0: $tType] : $o ).

tff(pred_def_47,type,
    field_char_0: 
      !>[X0: $tType] : $o ).

tff(pred_def_48,type,
    ab_group_add: 
      !>[X0: $tType] : $o ).

tff(pred_def_49,type,
    semiring_char_0: 
      !>[X0: $tType] : $o ).

tff(pred_def_50,type,
    order_bot: 
      !>[X0: $tType] : $o ).

tff(pred_def_51,type,
    order_top: 
      !>[X0: $tType] : $o ).

tff(pred_def_52,type,
    wellorder: 
      !>[X0: $tType] : $o ).

tff(pred_def_53,type,
    comm_semiring: 
      !>[X0: $tType] : $o ).

tff(pred_def_54,type,
    zero_less_one: 
      !>[X0: $tType] : $o ).

tff(pred_def_55,type,
    division_ring: 
      !>[X0: $tType] : $o ).

tff(pred_def_56,type,
    field_abs_sgn: 
      !>[X0: $tType] : $o ).

tff(pred_def_57,type,
    semigroup_add: 
      !>[X0: $tType] : $o ).

tff(pred_def_58,type,
    semiring_numeral: 
      !>[X0: $tType] : $o ).

tff(pred_def_59,type,
    semidom_divide: 
      !>[X0: $tType] : $o ).

tff(pred_def_60,type,
    semidom_modulo: 
      !>[X0: $tType] : $o ).

tff(pred_def_61,type,
    complete_Inf: 
      !>[X0: $tType] : $o ).

tff(pred_def_62,type,
    complete_Sup: 
      !>[X0: $tType] : $o ).

tff(pred_def_63,type,
    semigroup_mult: 
      !>[X0: $tType] : $o ).

tff(pred_def_64,type,
    dense_order: 
      !>[X0: $tType] : $o ).

tff(pred_def_65,type,
    comm_semiring_0: 
      !>[X0: $tType] : $o ).

tff(pred_def_66,type,
    comm_semiring_1: 
      !>[X0: $tType] : $o ).

tff(pred_def_67,type,
    linordered_idom: 
      !>[X0: $tType] : $o ).

tff(pred_def_68,type,
    linordered_ring: 
      !>[X0: $tType] : $o ).

tff(pred_def_69,type,
    semiring_modulo: 
      !>[X0: $tType] : $o ).

tff(pred_def_70,type,
    comm_monoid_add: 
      !>[X0: $tType] : $o ).

tff(pred_def_71,type,
    semiring_parity: 
      !>[X0: $tType] : $o ).

tff(pred_def_72,type,
    ordered_ring_abs: 
      !>[X0: $tType] : $o ).

tff(pred_def_73,type,
    ordered_semiring: 
      !>[X0: $tType] : $o ).

tff(pred_def_74,type,
    linordered_field: 
      !>[X0: $tType] : $o ).

tff(pred_def_75,type,
    ab_semigroup_add: 
      !>[X0: $tType] : $o ).

tff(pred_def_76,type,
    comm_monoid_diff: 
      !>[X0: $tType] : $o ).

tff(pred_def_77,type,
    comm_monoid_mult: 
      !>[X0: $tType] : $o ).

tff(pred_def_78,type,
    algebraic_semidom: 
      !>[X0: $tType] : $o ).

tff(pred_def_79,type,
    semiring_1_cancel: 
      !>[X0: $tType] : $o ).

tff(pred_def_80,type,
    ab_semigroup_mult: 
      !>[X0: $tType] : $o ).

tff(pred_def_81,type,
    semilattice_inf: 
      !>[X0: $tType] : $o ).

tff(pred_def_82,type,
    semilattice_sup: 
      !>[X0: $tType] : $o ).

tff(pred_def_83,type,
    dense_linorder: 
      !>[X0: $tType] : $o ).

tff(pred_def_84,type,
    linordered_semidom: 
      !>[X0: $tType] : $o ).

tff(pred_def_85,type,
    ordered_semiring_0: 
      !>[X0: $tType] : $o ).

tff(pred_def_86,type,
    real_Vector_banach: 
      !>[X0: $tType] : $o ).

tff(pred_def_87,type,
    linordered_semiring: 
      !>[X0: $tType] : $o ).

tff(pred_def_88,type,
    finite8700451911770168679attice: 
      !>[X0: $tType] : $o ).

tff(pred_def_89,type,
    cancel_semigroup_add: 
      !>[X0: $tType] : $o ).

tff(pred_def_90,type,
    ordered_ab_group_add: 
      !>[X0: $tType] : $o ).

tff(pred_def_91,type,
    linord6961819062388156250ring_1: 
      !>[X0: $tType] : $o ).

tff(pred_def_92,type,
    ordere2520102378445227354miring: 
      !>[X0: $tType] : $o ).

tff(pred_def_93,type,
    topological_t1_space: 
      !>[X0: $tType] : $o ).

tff(pred_def_94,type,
    topological_t2_space: 
      !>[X0: $tType] : $o ).

tff(pred_def_95,type,
    topological_t3_space: 
      !>[X0: $tType] : $o ).

tff(pred_def_96,type,
    topological_t4_space: 
      !>[X0: $tType] : $o ).

tff(pred_def_97,type,
    bit_semiring_bits: 
      !>[X0: $tType] : $o ).

tff(pred_def_98,type,
    topolo1633459387980952147up_add: 
      !>[X0: $tType] : $o ).

tff(pred_def_99,type,
    real_V6936659425649961206t_norm: 
      !>[X0: $tType] : $o ).

tff(pred_def_100,type,
    comm_s4317794764714335236cancel: 
      !>[X0: $tType] : $o ).

tff(pred_def_101,type,
    linord4710134922213307826strict: 
      !>[X0: $tType] : $o ).

tff(pred_def_102,type,
    cancel1802427076303600483id_add: 
      !>[X0: $tType] : $o ).

tff(pred_def_103,type,
    topolo6943815403480290642id_add: 
      !>[X0: $tType] : $o ).

tff(pred_def_104,type,
    real_V7773925162809079976_field: 
      !>[X0: $tType] : $o ).

tff(pred_def_105,type,
    ring_15535105094025558882visors: 
      !>[X0: $tType] : $o ).

tff(pred_def_106,type,
    cancel2418104881723323429up_add: 
      !>[X0: $tType] : $o ).

tff(pred_def_107,type,
    linord5086331880401160121up_add: 
      !>[X0: $tType] : $o ).

tff(pred_def_108,type,
    ordere6911136660526730532id_add: 
      !>[X0: $tType] : $o ).

tff(pred_def_109,type,
    topolo1898628316856586783d_mult: 
      !>[X0: $tType] : $o ).

tff(pred_def_110,type,
    real_V4867850818363320053vector: 
      !>[X0: $tType] : $o ).

tff(pred_def_111,type,
    archim2362893244070406136eiling: 
      !>[X0: $tType] : $o ).

tff(pred_def_112,type,
    semiri6843258321239162965malize: 
      !>[X0: $tType] : $o ).

tff(pred_def_113,type,
    ordere166539214618696060dd_abs: 
      !>[X0: $tType] : $o ).

tff(pred_def_114,type,
    ordere6658533253407199908up_add: 
      !>[X0: $tType] : $o ).

tff(pred_def_115,type,
    topolo1287966508704411220up_add: 
      !>[X0: $tType] : $o ).

tff(pred_def_116,type,
    real_V7819770556892013058_space: 
      !>[X0: $tType] : $o ).

tff(pred_def_117,type,
    real_V6157519004096292374lgebra: 
      !>[X0: $tType] : $o ).

tff(pred_def_118,type,
    semiri3467727345109120633visors: 
      !>[X0: $tType] : $o ).

tff(pred_def_119,type,
    boolea8198339166811842893lgebra: 
      !>[X0: $tType] : $o ).

tff(pred_def_120,type,
    linord8928482502909563296strict: 
      !>[X0: $tType] : $o ).

tff(pred_def_121,type,
    topolo8386298272705272623_space: 
      !>[X0: $tType] : $o ).

tff(pred_def_122,type,
    topolo7287701948861334536_space: 
      !>[X0: $tType] : $o ).

tff(pred_def_123,type,
    euclid5891614535332579305n_ring: 
      !>[X0: $tType] : $o ).

tff(pred_def_124,type,
    topolo4211221413907600880p_mult: 
      !>[X0: $tType] : $o ).

tff(pred_def_125,type,
    real_V8037385150606011577_space: 
      !>[X0: $tType] : $o ).

tff(pred_def_126,type,
    real_V2191834092415804123ebra_1: 
      !>[X0: $tType] : $o ).

tff(pred_def_127,type,
    linord181362715937106298miring: 
      !>[X0: $tType] : $o ).

tff(pred_def_128,type,
    semiri2026040879449505780visors: 
      !>[X0: $tType] : $o ).

tff(pred_def_129,type,
    topolo2564578578187576103pology: 
      !>[X0: $tType] : $o ).

tff(pred_def_130,type,
    bit_ri3973907225187159222ations: 
      !>[X0: $tType] : $o ).

tff(pred_def_131,type,
    comple6319245703460814977attice: 
      !>[X0: $tType] : $o ).

tff(pred_def_132,type,
    linord4140545234300271783up_add: 
      !>[X0: $tType] : $o ).

tff(pred_def_133,type,
    topolo5987344860129210374id_add: 
      !>[X0: $tType] : $o ).

tff(pred_def_134,type,
    unboun7993243217541854897norder: 
      !>[X0: $tType] : $o ).

tff(pred_def_135,type,
    real_V768167426530841204y_dist: 
      !>[X0: $tType] : $o ).

tff(pred_def_136,type,
    linord715952674999750819strict: 
      !>[X0: $tType] : $o ).

tff(pred_def_137,type,
    topolo569519726778239578ormity: 
      !>[X0: $tType] : $o ).

tff(pred_def_138,type,
    archim462609752435547400_field: 
      !>[X0: $tType] : $o ).

tff(pred_def_139,type,
    comple5582772986160207858norder: 
      !>[X0: $tType] : $o ).

tff(pred_def_140,type,
    topolo4987421752381908075d_mult: 
      !>[X0: $tType] : $o ).

tff(pred_def_141,type,
    real_V5047593784448816457lgebra: 
      !>[X0: $tType] : $o ).

tff(pred_def_142,type,
    bounde4346867609351753570nf_top: 
      !>[X0: $tType] : $o ).

tff(pred_def_143,type,
    real_V3459762299906320749_field: 
      !>[X0: $tType] : $o ).

tff(pred_def_144,type,
    topolo8865339358273720382pology: 
      !>[X0: $tType] : $o ).

tff(pred_def_145,type,
    topolo1944317154257567458pology: 
      !>[X0: $tType] : $o ).

tff(pred_def_146,type,
    topolo4958980785337419405_space: 
      !>[X0: $tType] : $o ).

tff(pred_def_147,type,
    euclid3725896446679973847miring: 
      !>[X0: $tType] : $o ).

tff(pred_def_148,type,
    canoni5634975068530333245id_add: 
      !>[X0: $tType] : $o ).

tff(pred_def_149,type,
    ordere8940638589300402666id_add: 
      !>[X0: $tType] : $o ).

tff(pred_def_150,type,
    strict7427464778891057005id_add: 
      !>[X0: $tType] : $o ).

tff(pred_def_151,type,
    real_V822414075346904944vector: 
      !>[X0: $tType] : $o ).

tff(pred_def_152,type,
    linord2810124833399127020strict: 
      !>[X0: $tType] : $o ).

tff(pred_def_153,type,
    bit_se359711467146920520ations: 
      !>[X0: $tType] : $o ).

tff(pred_def_154,type,
    ordere2412721322843649153imp_le: 
      !>[X0: $tType] : $o ).

tff(pred_def_155,type,
    ordere580206878836729694up_add: 
      !>[X0: $tType] : $o ).

tff(pred_def_156,type,
    ordere1170586879665033532d_diff: 
      !>[X0: $tType] : $o ).

tff(pred_def_157,type,
    strict9044650504122735259up_add: 
      !>[X0: $tType] : $o ).

tff(pred_def_158,type,
    real_V5355595471888546746vector: 
      !>[X0: $tType] : $o ).

tff(pred_def_159,type,
    real_V4412858255891104859lgebra: 
      !>[X0: $tType] : $o ).

tff(pred_def_160,type,
    semiri6575147826004484403cancel: 
      !>[X0: $tType] : $o ).

tff(pred_def_161,type,
    euclid8851590272496341667cancel: 
      !>[X0: $tType] : $o ).

tff(pred_def_162,type,
    real_V2822296259951069270ebra_1: 
      !>[X0: $tType] : $o ).

tff(pred_def_163,type,
    unique1627219031080169319umeral: 
      !>[X0: $tType] : $o ).

tff(pred_def_164,type,
    comple489889107523837845lgebra: 
      !>[X0: $tType] : $o ).

tff(pred_def_165,type,
    comple592849572758109894attice: 
      !>[X0: $tType] : $o ).

tff(pred_def_166,type,
    real_V8999393235501362500lgebra: 
      !>[X0: $tType] : $o ).

tff(pred_def_167,type,
    topolo3112930676232923870pology: 
      !>[X0: $tType] : $o ).

tff(pred_def_168,type,
    euclid4440199948858584721cancel: 
      !>[X0: $tType] : $o ).

tff(pred_def_169,type,
    euclid3128863361964157862miring: 
      !>[X0: $tType] : $o ).

tff(pred_def_170,type,
    topolo8458572112393995274pology: 
      !>[X0: $tType] : $o ).

tff(pred_def_171,type,
    ordere1937475149494474687imp_le: 
      !>[X0: $tType] : $o ).

tff(pred_def_172,type,
    condit5016429287641298734tinuum: 
      !>[X0: $tType] : $o ).

tff(pred_def_173,type,
    euclid8789492081693882211th_nat: 
      !>[X0: $tType] : $o ).

tff(pred_def_174,type,
    euclid5411537665997757685th_nat: 
      !>[X0: $tType] : $o ).

tff(pred_def_175,type,
    counta3822494911875563373attice: 
      !>[X0: $tType] : $o ).

tff(pred_def_176,type,
    semiri1453513574482234551roduct: 
      !>[X0: $tType] : $o ).

tff(pred_def_177,type,
    bit_un5681908812861735899ations: 
      !>[X0: $tType] : $o ).

tff(pred_def_178,type,
    condit1219197933456340205attice: 
      !>[X0: $tType] : $o ).

tff(pred_def_179,type,
    condit6923001295902523014norder: 
      !>[X0: $tType] : $o ).

tff(pred_def_180,type,
    boolea2506097494486148201lgebra: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,X0)) * fun(X0,fun(X0,X0)) * fun(X0,X0) * X0 * X0 ) > $o ) ).

tff(pred_def_181,type,
    boolea3799213064322606851m_diff: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,X0)) * fun(X0,fun(X0,X0)) * fun(X0,X0) * X0 * X0 * fun(X0,fun(X0,X0)) ) > $o ) ).

tff(pred_def_182,type,
    condit941137186595557371_above: 
      !>[X0: $tType] : ( set(X0) > $o ) ).

tff(pred_def_183,type,
    condit1013018076250108175_below: 
      !>[X0: $tType] : ( set(X0) > $o ) ).

tff(pred_def_184,type,
    differentiable: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * filter(X0) ) > $o ) ).

tff(pred_def_185,type,
    has_derivative: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * fun(X0,X1) * filter(X0) ) > $o ) ).

tff(pred_def_186,type,
    has_field_derivative: 
      !>[X0: $tType] : ( ( fun(X0,X0) * X0 * filter(X0) ) > $o ) ).

tff(pred_def_187,type,
    eucl_rel_int: ( int * int * product_prod(int,int) ) > $o ).

tff(pred_def_188,type,
    unique5940410009612947441es_aux: 
      !>[X0: $tType] : ( product_prod(X0,X0) > $o ) ).

tff(pred_def_189,type,
    eventually: 
      !>[X0: $tType] : ( ( fun(X0,$o) * filter(X0) ) > $o ) ).

tff(pred_def_190,type,
    filterlim: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * filter(X1) * filter(X0) ) > $o ) ).

tff(pred_def_191,type,
    bij_betw: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * set(X0) * set(X1) ) > $o ) ).

tff(pred_def_192,type,
    inj_on: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * set(X0) ) > $o ) ).

tff(pred_def_193,type,
    strict_mono_on: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * set(X0) ) > $o ) ).

tff(pred_def_194,type,
    nO_MATCH: 
      !>[X0: $tType,X1: $tType] : ( ( X0 * X1 ) > $o ) ).

tff(pred_def_195,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_196,type,
    bfun: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * filter(X0) ) > $o ) ).

tff(pred_def_197,type,
    distinct: 
      !>[X0: $tType] : ( list(X0) > $o ) ).

tff(pred_def_198,type,
    lexordp: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,$o)) * list(X0) * list(X0) ) > $o ) ).

tff(pred_def_199,type,
    listrel1p: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,$o)) * list(X0) * list(X0) ) > $o ) ).

tff(pred_def_200,type,
    order_antimono: 
      !>[X0: $tType,X1: $tType] : ( fun(X0,X1) > $o ) ).

tff(pred_def_201,type,
    order_mono: 
      !>[X0: $tType,X1: $tType] : ( fun(X0,X1) > $o ) ).

tff(pred_def_202,type,
    order_strict_mono: 
      !>[X0: $tType,X1: $tType] : ( fun(X0,X1) > $o ) ).

tff(pred_def_203,type,
    real_V3181309239436604168linear: 
      !>[X0: $tType,X1: $tType] : ( fun(X0,X1) > $o ) ).

tff(pred_def_204,type,
    real_V4916620083959148203axioms: 
      !>[X0: $tType,X1: $tType] : ( fun(X0,X1) > $o ) ).

tff(pred_def_205,type,
    irrefl: 
      !>[X0: $tType] : ( set(product_prod(X0,X0)) > $o ) ).

tff(pred_def_206,type,
    summable: 
      !>[X0: $tType] : ( fun(nat,X0) > $o ) ).

tff(pred_def_207,type,
    topolo3448309680560233919inuous: 
      !>[X0: $tType,X1: $tType] : ( ( filter(X0) * fun(X0,X1) ) > $o ) ).

tff(pred_def_208,type,
    topolo81223032696312382ous_on: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,X1) ) > $o ) ).

tff(pred_def_209,type,
    topological_monoseq: 
      !>[X0: $tType] : ( fun(nat,X0) > $o ) ).

tff(pred_def_210,type,
    topolo7761053866217962861closed: 
      !>[X0: $tType] : ( set(X0) > $o ) ).

tff(pred_def_211,type,
    topolo2193935891317330818ompact: 
      !>[X0: $tType] : ( set(X0) > $o ) ).

tff(pred_def_212,type,
    topolo3814608138187158403Cauchy: 
      !>[X0: $tType] : ( fun(nat,X0) > $o ) ).

tff(pred_def_213,type,
    topolo6773858410816713723filter: 
      !>[X0: $tType] : ( filter(X0) > $o ) ).

tff(pred_def_214,type,
    topolo6688025880775521714ounded: 
      !>[X0: $tType] : ( set(X0) > $o ) ).

tff(pred_def_215,type,
    topolo6026614971017936543ous_on: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,X1) ) > $o ) ).

tff(pred_def_216,type,
    vEBT_V5917875025757280293ildren: ( nat * list(vEBT_VEBT) * nat ) > $o ).

tff(pred_def_217,type,
    vEBT_VEBT_membermima: ( vEBT_VEBT * nat ) > $o ).

tff(pred_def_218,type,
    vEBT_V5719532721284313246member: ( vEBT_VEBT * nat ) > $o ).

tff(pred_def_219,type,
    vEBT_VEBT_valid: ( vEBT_VEBT * nat ) > $o ).

tff(pred_def_220,type,
    vEBT_invar_vebt: ( vEBT_VEBT * nat ) > $o ).

tff(pred_def_221,type,
    vEBT_VEBT_minNull: vEBT_VEBT > $o ).

tff(pred_def_222,type,
    vEBT_VEBT_greater: ( option(nat) * option(nat) ) > $o ).

tff(pred_def_223,type,
    vEBT_VEBT_less: ( option(nat) * option(nat) ) > $o ).

tff(pred_def_224,type,
    vEBT_VEBT_lesseq: ( option(nat) * option(nat) ) > $o ).

tff(pred_def_225,type,
    vEBT_VEBT_max_in_set: ( set(nat) * nat ) > $o ).

tff(pred_def_226,type,
    vEBT_VEBT_min_in_set: ( set(nat) * nat ) > $o ).

tff(pred_def_227,type,
    vEBT_is_pred_in_set: ( set(nat) * nat * nat ) > $o ).

tff(pred_def_228,type,
    vEBT_is_succ_in_set: ( set(nat) * nat * nat ) > $o ).

tff(pred_def_229,type,
    accp: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,$o)) * X0 ) > $o ) ).

tff(pred_def_230,type,
    ':=': 
      !>[X0: $tType] : ( ( X0 * X0 ) > $o ) ).

tff(pred_def_231,type,
    iG324: ( list(vEBT_VEBT) * nat * nat ) > $o ).

tff(pred_def_232,type,
    iG326: ( list(vEBT_VEBT) * nat * nat ) > $o ).

tff(pred_def_233,type,
    iG328: ( list(vEBT_VEBT) * nat * nat ) > $o ).

tff(pred_def_234,type,
    iG403: 
      !>[X0: $tType] : ( ( num * X0 * X0 ) > $o ) ).

tff(pred_def_235,type,
    iG404: 
      !>[X0: $tType] : ( ( num * X0 * X0 ) > $o ) ).

tff(pred_def_236,type,
    iG410: ( nat * $o ) > $o ).

tff(pred_def_237,type,
    iG411: ( nat * $o * $o ) > $o ).

tff(pred_def_238,type,
    iG490: 
      !>[X0: $tType] : ( ( X0 * X0 * X0 ) > $o ) ).

tff(pred_def_239,type,
    iG491: 
      !>[X0: $tType] : ( ( X0 * X0 * X0 ) > $o ) ).

tff(pred_def_240,type,
    iG506: 
      !>[X0: $tType] : ( ( X0 * num * X0 ) > $o ) ).

tff(pred_def_241,type,
    iG507: 
      !>[X0: $tType] : ( ( X0 * num * X0 ) > $o ) ).

tff(pred_def_242,type,
    iG534: ( list(vEBT_VEBT) * nat * nat ) > $o ).

tff(pred_def_243,type,
    iG535: ( nat * $o ) > $o ).

tff(pred_def_244,type,
    iG536: ( nat * $o * $o ) > $o ).

tff(pred_def_245,type,
    iG540: ( list(vEBT_VEBT) * nat * nat ) > $o ).

tff(pred_def_246,type,
    iG541: ( nat * $o ) > $o ).

tff(pred_def_247,type,
    iG542: ( nat * $o * $o ) > $o ).

tff(pred_def_248,type,
    iG546: ( list(vEBT_VEBT) * nat * nat ) > $o ).

tff(pred_def_249,type,
    iG547: ( nat * $o ) > $o ).

tff(pred_def_250,type,
    iG548: ( nat * $o * $o ) > $o ).

tff(pred_def_251,type,
    iG553: ( list(vEBT_VEBT) * nat * nat ) > $o ).

tff(pred_def_252,type,
    iG555: ( list(vEBT_VEBT) * nat * nat ) > $o ).

tff(pred_def_253,type,
    iG559: ( list(vEBT_VEBT) * nat * nat ) > $o ).

tff(pred_def_254,type,
    iG561: ( list(vEBT_VEBT) * nat * nat ) > $o ).

tff(pred_def_255,type,
    iG571: ( list(vEBT_VEBT) * nat * nat ) > $o ).

tff(pred_def_256,type,
    iG572: ( nat * nat * nat * list(vEBT_VEBT) ) > $o ).

tff(pred_def_257,type,
    iG573: ( nat * nat * nat * nat * list(vEBT_VEBT) ) > $o ).

tff(pred_def_258,type,
    iG574: ( nat * nat * nat * nat * list(vEBT_VEBT) ) > $o ).

tff(pred_def_259,type,
    iG575: ( nat * nat * nat * nat * list(vEBT_VEBT) ) > $o ).

tff(pred_def_260,type,
    iG576: ( nat * $o ) > $o ).

tff(pred_def_261,type,
    iG577: ( nat * $o * $o ) > $o ).

tff(pred_def_262,type,
    iG581: ( list(vEBT_VEBT) * nat * nat ) > $o ).

tff(pred_def_263,type,
    iG582: ( nat * nat * nat * list(vEBT_VEBT) ) > $o ).

tff(pred_def_264,type,
    iG583: ( nat * nat * nat * nat * list(vEBT_VEBT) ) > $o ).

tff(pred_def_265,type,
    iG584: ( nat * nat * nat * nat * list(vEBT_VEBT) ) > $o ).

tff(pred_def_266,type,
    iG585: ( nat * nat * nat * nat * list(vEBT_VEBT) ) > $o ).

tff(pred_def_267,type,
    iG586: ( nat * $o ) > $o ).

tff(pred_def_268,type,
    iG587: ( nat * $o * $o ) > $o ).

tff(pred_def_269,type,
    iG591: ( list(vEBT_VEBT) * nat * nat ) > $o ).

tff(pred_def_270,type,
    iG592: ( nat * nat * nat * list(vEBT_VEBT) ) > $o ).

tff(pred_def_271,type,
    iG593: ( nat * nat * nat * nat * list(vEBT_VEBT) ) > $o ).

tff(pred_def_272,type,
    iG594: ( nat * nat * nat * nat * list(vEBT_VEBT) ) > $o ).

tff(pred_def_273,type,
    iG595: ( nat * nat * nat * nat * list(vEBT_VEBT) ) > $o ).

tff(pred_def_274,type,
    iG596: ( nat * $o ) > $o ).

tff(pred_def_275,type,
    iG597: ( nat * $o * $o ) > $o ).

tff(pred_def_276,type,
    iG601: ( list(vEBT_VEBT) * nat * nat ) > $o ).

tff(pred_def_277,type,
    iG603: ( list(vEBT_VEBT) * nat * nat ) > $o ).

tff(pred_def_278,type,
    iG729: ( list(vEBT_VEBT) * nat * nat ) > $o ).

tff(pred_def_279,type,
    iG730: ( nat * nat * nat * list(vEBT_VEBT) ) > $o ).

tff(pred_def_280,type,
    iG731: ( nat * nat * nat * nat * list(vEBT_VEBT) ) > $o ).

tff(pred_def_281,type,
    iG732: ( nat * nat * nat * nat * list(vEBT_VEBT) ) > $o ).

tff(pred_def_282,type,
    iG733: ( nat * nat * nat * nat * list(vEBT_VEBT) ) > $o ).

tff(pred_def_283,type,
    iG734: ( nat * $o ) > $o ).

tff(pred_def_284,type,
    iG735: ( nat * $o * $o ) > $o ).

tff(pred_def_285,type,
    iG752: ( list(vEBT_VEBT) * nat * nat ) > $o ).

tff(pred_def_286,type,
    iG753: ( nat * $o ) > $o ).

tff(pred_def_287,type,
    iG754: ( nat * $o * $o ) > $o ).

tff(pred_def_288,type,
    iG760: ( list(vEBT_VEBT) * nat * nat ) > $o ).

tff(pred_def_289,type,
    iG761: ( nat * $o ) > $o ).

tff(pred_def_290,type,
    iG762: ( nat * $o * $o ) > $o ).

tff(pred_def_291,type,
    iG768: ( list(vEBT_VEBT) * nat * nat ) > $o ).

tff(pred_def_292,type,
    iG769: ( nat * nat * nat * list(vEBT_VEBT) ) > $o ).

tff(pred_def_293,type,
    iG770: ( nat * nat * nat * nat * list(vEBT_VEBT) ) > $o ).

tff(pred_def_294,type,
    iG771: ( nat * nat * nat * nat * list(vEBT_VEBT) ) > $o ).

tff(pred_def_295,type,
    iG772: ( nat * nat * nat * nat * list(vEBT_VEBT) ) > $o ).

tff(pred_def_296,type,
    iG773: ( nat * $o ) > $o ).

tff(pred_def_297,type,
    iG774: ( nat * $o * $o ) > $o ).

tff(pred_def_298,type,
    iG783: ( list(vEBT_VEBT) * nat * nat ) > $o ).

tff(pred_def_299,type,
    iG789: ( list(vEBT_VEBT) * nat * nat ) > $o ).

tff(pred_def_300,type,
    iG791: ( list(vEBT_VEBT) * nat * nat ) > $o ).

tff(pred_def_301,type,
    iG793: ( list(vEBT_VEBT) * nat * nat ) > $o ).

tff(pred_def_302,type,
    iG795: ( list(vEBT_VEBT) * nat * nat ) > $o ).

tff(pred_def_303,type,
    iG801: ( int * int * int ) > $o ).

tff(pred_def_304,type,
    iG802: ( int * int * int ) > $o ).

tff(pred_def_305,type,
    iG847: 
      !>[X0: $tType] : ( ( num * X0 * X0 ) > $o ) ).

tff(pred_def_306,type,
    iG848: 
      !>[X0: $tType] : ( ( num * X0 * X0 ) > $o ) ).

tff(pred_def_307,type,
    iG849: 
      !>[X0: $tType] : ( ( X0 * X0 * X0 ) > $o ) ).

tff(pred_def_308,type,
    iG850: 
      !>[X0: $tType] : ( ( X0 * X0 * X0 ) > $o ) ).

tff(pred_def_309,type,
    iG857: 
      !>[X0: $tType] : ( ( X0 * num * X0 ) > $o ) ).

tff(pred_def_310,type,
    iG858: 
      !>[X0: $tType] : ( ( X0 * num * X0 ) > $o ) ).

tff(pred_def_311,type,
    iG921: 
      !>[X0: $tType] : ( ( real * X0 * X0 * real ) > $o ) ).

tff(pred_def_312,type,
    iG922: 
      !>[X0: $tType] : ( ( real * X0 * real * X0 ) > $o ) ).

tff(pred_def_313,type,
    iG1082: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) * list(X0) * list(X0) ) > $o ) ).

tff(pred_def_314,type,
    iG1093: 
      !>[X0: $tType] : ( ( list(list(X0)) * list(X0) * list(X0) ) > $o ) ).

tff(pred_def_315,type,
    iG1221: ( real * real * real ) > $o ).

tff(pred_def_316,type,
    iG1385: ( nat * nat * list(vEBT_VEBT) * nat * nat ) > $o ).

tff(pred_def_317,type,
    sP1417: ( fun(nat,$o) * nat * nat ) > $o ).

tff(pred_def_318,type,
    sP1418: ( fun(int,$o) * int ) > $o ).

tff(pred_def_319,type,
    sP1419: ( fun(int,$o) * int * int ) > $o ).

tff(pred_def_320,type,
    sP1420: ( fun(int,$o) * int * int ) > $o ).

tff(pred_def_321,type,
    sP1421: 
      !>[X0: $tType] : ( ( fun(set(X0),$o) * set(X0) ) > $o ) ).

tff(pred_def_322,type,
    sP1422: 
      !>[X0: $tType,X1: $tType] : ( ( option(X0) * option(X1) * fun(option(X1),fun(option(X0),$o)) ) > $o ) ).

tff(pred_def_323,type,
    sP1423: ( fun(real,fun(real,$o)) * real * real ) > $o ).

tff(pred_def_324,type,
    sP1424: ( fun(int,$o) * int * int ) > $o ).

tff(pred_def_325,type,
    sP1425: ( fun(int,$o) * int * int ) > $o ).

tff(pred_def_326,type,
    sP1426: ( nat * fun(nat,$o) * nat ) > $o ).

tff(pred_def_327,type,
    sP1427: ( nat * nat * list(vEBT_VEBT) * nat * nat ) > $o ).

tff(pred_def_328,type,
    sP1428: ( vEBT_VEBT * list(vEBT_VEBT) * nat ) > $o ).

tff(pred_def_329,type,
    sP1429: ( nat * nat * list(vEBT_VEBT) * nat * nat ) > $o ).

tff(pred_def_330,type,
    sP1430: ( vEBT_VEBT * list(vEBT_VEBT) * nat ) > $o ).

tff(pred_def_331,type,
    sP1431: fun(int,$o) > $o ).

tff(pred_def_332,type,
    sP1432: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * fun(X0,X1) * set(X1) * set(X1) ) > $o ) ).

tff(pred_def_333,type,
    sP1433: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * set(X0) * fun(X1,X0) * set(X1) * set(X1) ) > $o ) ).

tff(pred_def_334,type,
    sP1434: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * fun(X0,X1) * set(X1) * set(X1) ) > $o ) ).

tff(pred_def_335,type,
    sP1435: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * set(X0) * fun(X1,X0) * set(X1) * set(X1) ) > $o ) ).

tff(pred_def_336,type,
    sP1436: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * fun(X1,$o) ) > $o ) ).

tff(pred_def_337,type,
    sP1437: 
      !>[X0: $tType] : ( ( X0 * X0 * X0 ) > $o ) ).

tff(pred_def_338,type,
    sP1438: 
      !>[X0: $tType] : ( ( X0 * X0 * X0 ) > $o ) ).

tff(pred_def_339,type,
    sP1439: 
      !>[X0: $tType] : ( ( X0 * X0 * X0 ) > $o ) ).

tff(pred_def_340,type,
    sP1440: 
      !>[X0: $tType] : ( ( fun(X0,$o) * fun(X0,$o) * fun(X0,$o) * fun(X0,$o) ) > $o ) ).

tff(pred_def_341,type,
    sP1441: 
      !>[X0: $tType] : ( ( fun(X0,$o) * fun(X0,$o) * fun(X0,$o) * fun(X0,$o) ) > $o ) ).

tff(pred_def_342,type,
    sP1442: 
      !>[X0: $tType] : ( ( fun(X0,$o) * fun(X0,$o) * fun(X0,$o) * fun(X0,$o) ) > $o ) ).

tff(pred_def_343,type,
    sP1443: 
      !>[X0: $tType] : ( ( fun(X0,$o) * fun(X0,$o) * fun(X0,$o) * fun(X0,$o) ) > $o ) ).

tff(pred_def_344,type,
    sP1444: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * fun(X0,X1) * set(X1) * set(X1) ) > $o ) ).

tff(pred_def_345,type,
    sP1445: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * set(X0) * fun(X1,X0) * set(X1) * set(X1) ) > $o ) ).

tff(pred_def_346,type,
    sP1446: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * fun(X0,X1) * set(X1) * set(X1) ) > $o ) ).

tff(pred_def_347,type,
    sP1447: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * set(X0) * fun(X1,X0) * set(X1) * set(X1) ) > $o ) ).

tff(pred_def_348,type,
    sP1448: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * set(X1) ) > $o ) ).

tff(pred_def_349,type,
    sP1449: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * set(set(X1)) ) > $o ) ).

tff(pred_def_350,type,
    sP1450: ( int * fun(int,$o) * set(int) * fun(int,$o) ) > $o ).

tff(pred_def_351,type,
    sP1451: ( int * fun(int,$o) * set(int) * fun(int,$o) ) > $o ).

tff(pred_def_352,type,
    sP1452: ( int * fun(int,$o) * fun(int,$o) * set(int) ) > $o ).

tff(pred_def_353,type,
    sP1453: ( int * fun(int,$o) * set(int) ) > $o ).

tff(pred_def_354,type,
    sP1454: ( int * fun(int,$o) * fun(int,$o) * set(int) ) > $o ).

tff(pred_def_355,type,
    sP1455: ( int * fun(int,$o) * set(int) ) > $o ).

tff(pred_def_356,type,
    sP1456: ( int * fun(int,$o) * fun(int,$o) * set(int) ) > $o ).

tff(pred_def_357,type,
    sP1457: ( int * fun(int,$o) * set(int) ) > $o ).

tff(pred_def_358,type,
    sP1458: ( int * fun(int,$o) * fun(int,$o) * set(int) ) > $o ).

tff(pred_def_359,type,
    sP1459: ( int * fun(int,$o) * set(int) ) > $o ).

tff(pred_def_360,type,
    sP1460: ( fun(nat,int) * nat * nat ) > $o ).

tff(pred_def_361,type,
    sP1461: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,filter(X1)) ) > $o ) ).

tff(pred_def_362,type,
    sP1462: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,filter(X1)) ) > $o ) ).

tff(pred_def_363,type,
    sP1463: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,fun(X1,$o)) * set(X1) * set(X0) ) > $o ) ).

tff(pred_def_364,type,
    sP1464: ( fun(real,real) * fun(real,real) * real * real ) > $o ).

tff(f6,axiom,
    ! [X0: nat,X1: nat] : ( vEBT_VEBT_high(X0,X1) = aa(nat,nat,aa(nat,fun(nat,nat),divide_divide(nat),X0),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),X1)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_5_high__def) ).

tff(f7,axiom,
    aa(nat,nat,aa(nat,fun(nat,nat),divide_divide(nat),deg),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))) = na,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_6__092_060open_062deg_Adiv_A2_A_061_An_092_060close_062) ).

tff(f14,axiom,
    aa(option(nat),nat,the2(nat),vEBT_vebt_maxt(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,list_update(vEBT_VEBT,treeList,vEBT_VEBT_high(aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),summin),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),na))),lx),na),vEBT_vebt_delete(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,treeList),vEBT_VEBT_high(aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),summin),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),na))),lx),na)),vEBT_VEBT_low(aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),summin),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),na))),lx),na)))),aa(option(nat),nat,the2(nat),vEBT_vebt_maxt(vEBT_vebt_delete(summary,vEBT_VEBT_high(aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),summin),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),na))),lx),na))))))) = aa(option(nat),nat,the2(nat),vEBT_vebt_maxt(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,treeList),maxs))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_13__092_060open_062the_A_Ivebt__maxt_A_ItreeList_A_091high_A_Isummin_A_K_A2_A_094_An_A_L_Alx_J_An_A_058_061_Avebt__delete_A_ItreeList_A_B_Ahigh_A_Isummin_A_K_A2_A_094_An_A_L_Alx_J_An_J_A_Ilow_A_Isummin_A_K_A2_A_094_An_A_L_Alx_J_An_J_093_A_B_Athe_A_Ivebt__maxt_A_Ivebt__delete_Asummary_A_Ihigh_A_Isummin_A_K_A2_A_094_An_A_L_Alx_J_An_J_J_J_J_J_A_061_Athe_A_Ivebt__maxt_A_ItreeList_A_B_Amaxs_J_J_092_060close_062) ).

tff(f17,axiom,
    aa(nat,option(nat),some(nat),maxi) = vEBT_vebt_maxt(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,treeList),maxs)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_16__092_060open_062Some_Amaxi_A_061_Avebt__maxt_A_ItreeList_A_B_Amaxs_J_092_060close_062) ).

tff(f19,axiom,
    aa(nat,option(nat),some(nat),maxs) = vEBT_vebt_maxt(vEBT_vebt_delete(summary,vEBT_VEBT_high(aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),summin),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),na))),lx),na))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_18__092_060open_062Some_Amaxs_A_061_Avebt__maxt_A_Ivebt__delete_Asummary_A_Ihigh_A_Isummin_A_K_A2_A_094_An_A_L_Alx_J_An_J_J_092_060close_062) ).

tff(f159,axiom,
    ! [X0: $tType,X1: X0] : ( aa(option(X0),X0,the2(X0),aa(X0,option(X0),some(X0),X1)) = X1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_158_option_Osel) ).

tff(f755,axiom,
    ! [X0: nat,X1: nat] : ( vEBT_VEBT_low(X0,X1) = modulo_modulo(nat,X0,aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),X1)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_754_low__def) ).

tff(f10280,conjecture,
    aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),aa(nat,nat,aa(nat,fun(nat,nat),divide_divide(nat),deg),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))))),aa(option(nat),nat,the2(nat),vEBT_vebt_maxt(vEBT_vebt_delete(summary,vEBT_VEBT_high(aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),summin),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),na))),lx),na)))))),aa(option(nat),nat,the2(nat),vEBT_vebt_maxt(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,list_update(vEBT_VEBT,treeList,vEBT_VEBT_high(aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),summin),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),na))),lx),na),vEBT_vebt_delete(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,treeList),vEBT_VEBT_high(aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),summin),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),na))),lx),na)),vEBT_VEBT_low(aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),summin),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),na))),lx),na)))),aa(option(nat),nat,the2(nat),vEBT_vebt_maxt(vEBT_vebt_delete(summary,vEBT_VEBT_high(aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),summin),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),na))),lx),na)))))))) = aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),na)),maxs)),maxi),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0) ).

tff(f10281,negated_conjecture,
    ( ( ~ aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),aa(nat,nat,aa(nat,fun(nat,nat),divide_divide(nat),deg),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))))),aa(option(nat),nat,the2(nat),vEBT_vebt_maxt(vEBT_vebt_delete(summary,vEBT_VEBT_high(aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),summin),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),na))),lx),na)))))),aa(option(nat),nat,the2(nat),vEBT_vebt_maxt(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,list_update(vEBT_VEBT,treeList,vEBT_VEBT_high(aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),summin),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),na))),lx),na),vEBT_vebt_delete(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,treeList),vEBT_VEBT_high(aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),summin),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),na))),lx),na)),vEBT_VEBT_low(aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),summin),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),na))),lx),na)))),aa(option(nat),nat,the2(nat),vEBT_vebt_maxt(vEBT_vebt_delete(summary,vEBT_VEBT_high(aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),summin),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),na))),lx),na)))))))) ) = aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),na)),maxs)),maxi) ),
    inference(negated_conjecture,[status(cth)],[f10280]) ).

tff(f21571,plain,
    aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),aa(nat,nat,aa(nat,fun(nat,nat),divide_divide(nat),deg),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))))),aa(option(nat),nat,the2(nat),vEBT_vebt_maxt(vEBT_vebt_delete(summary,vEBT_VEBT_high(aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),summin),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),na))),lx),na)))))),aa(option(nat),nat,the2(nat),vEBT_vebt_maxt(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,list_update(vEBT_VEBT,treeList,vEBT_VEBT_high(aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),summin),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),na))),lx),na),vEBT_vebt_delete(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,treeList),vEBT_VEBT_high(aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),summin),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),na))),lx),na)),vEBT_VEBT_low(aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),summin),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),na))),lx),na)))),aa(option(nat),nat,the2(nat),vEBT_vebt_maxt(vEBT_vebt_delete(summary,vEBT_VEBT_high(aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),summin),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),na))),lx),na)))))))) != aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),na)),maxs)),maxi),
    inference(flattening,[],[f10281]) ).

tff(f25368,plain,
    aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),aa(nat,nat,aa(nat,fun(nat,nat),divide_divide(nat),deg),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))))),aa(option(nat),nat,the2(nat),vEBT_vebt_maxt(vEBT_vebt_delete(summary,vEBT_VEBT_high(aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),summin),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),na))),lx),na)))))),aa(option(nat),nat,the2(nat),vEBT_vebt_maxt(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,list_update(vEBT_VEBT,treeList,vEBT_VEBT_high(aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),summin),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),na))),lx),na),vEBT_vebt_delete(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,treeList),vEBT_VEBT_high(aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),summin),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),na))),lx),na)),vEBT_VEBT_low(aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),summin),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),na))),lx),na)))),aa(option(nat),nat,the2(nat),vEBT_vebt_maxt(vEBT_vebt_delete(summary,vEBT_VEBT_high(aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),summin),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),na))),lx),na)))))))) != aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),na)),maxs)),maxi),
    inference(cnf_transformation,[],[f21571]) ).

tff(f25549,plain,
    ! [X0: $tType,X1: X0] : ( aa(option(X0),X0,the2(X0),aa(X0,option(X0),some(X0),X1)) = X1 ),
    inference(cnf_transformation,[],[f159]) ).

tff(f25618,plain,
    ! [X0: nat,X1: nat] : ( vEBT_VEBT_high(X0,X1) = aa(nat,nat,aa(nat,fun(nat,nat),divide_divide(nat),X0),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),X1)) ),
    inference(cnf_transformation,[],[f6]) ).

tff(f25620,plain,
    ! [X0: nat,X1: nat] : ( vEBT_VEBT_low(X0,X1) = modulo_modulo(nat,X0,aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),X1)) ),
    inference(cnf_transformation,[],[f755]) ).

tff(f25633,plain,
    na = aa(nat,nat,aa(nat,fun(nat,nat),divide_divide(nat),deg),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),
    inference(cnf_transformation,[],[f7]) ).

tff(f25635,plain,
    vEBT_vebt_maxt(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,treeList),maxs)) = aa(nat,option(nat),some(nat),maxi),
    inference(cnf_transformation,[],[f17]) ).

tff(f25640,plain,
    vEBT_vebt_maxt(vEBT_vebt_delete(summary,vEBT_VEBT_high(aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),summin),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),na))),lx),na))) = aa(nat,option(nat),some(nat),maxs),
    inference(cnf_transformation,[],[f19]) ).

tff(f25644,plain,
    aa(option(nat),nat,the2(nat),vEBT_vebt_maxt(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,list_update(vEBT_VEBT,treeList,vEBT_VEBT_high(aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),summin),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),na))),lx),na),vEBT_vebt_delete(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,treeList),vEBT_VEBT_high(aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),summin),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),na))),lx),na)),vEBT_VEBT_low(aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),summin),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),na))),lx),na)))),aa(option(nat),nat,the2(nat),vEBT_vebt_maxt(vEBT_vebt_delete(summary,vEBT_VEBT_high(aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),summin),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),na))),lx),na))))))) = aa(option(nat),nat,the2(nat),vEBT_vebt_maxt(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,treeList),maxs))),
    inference(cnf_transformation,[],[f14]) ).

tff(f29316,plain,
    aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),na)),maxs)),maxi) != aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),aa(nat,nat,aa(nat,fun(nat,nat),divide_divide(nat),deg),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))))),aa(option(nat),nat,the2(nat),vEBT_vebt_maxt(vEBT_vebt_delete(summary,aa(nat,nat,aa(nat,fun(nat,nat),divide_divide(nat),aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),summin),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),na))),lx)),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),na))))))),aa(option(nat),nat,the2(nat),vEBT_vebt_maxt(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,list_update(vEBT_VEBT,treeList,aa(nat,nat,aa(nat,fun(nat,nat),divide_divide(nat),aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),summin),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),na))),lx)),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),na)),vEBT_vebt_delete(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,treeList),aa(nat,nat,aa(nat,fun(nat,nat),divide_divide(nat),aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),summin),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),na))),lx)),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),na))),modulo_modulo(nat,aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),summin),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),na))),lx),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),na))))),aa(option(nat),nat,the2(nat),vEBT_vebt_maxt(vEBT_vebt_delete(summary,aa(nat,nat,aa(nat,fun(nat,nat),divide_divide(nat),aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),summin),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),na))),lx)),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),na))))))))),
    inference(definition_unfolding,[],[f25368,f25618,f25618,f25618,f25620,f25618]) ).

tff(f29325,plain,
    aa(nat,option(nat),some(nat),maxs) = vEBT_vebt_maxt(vEBT_vebt_delete(summary,aa(nat,nat,aa(nat,fun(nat,nat),divide_divide(nat),aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),summin),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),na))),lx)),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),na)))),
    inference(definition_unfolding,[],[f25640,f25618]) ).

tff(f29328,plain,
    aa(option(nat),nat,the2(nat),vEBT_vebt_maxt(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,treeList),maxs))) = aa(option(nat),nat,the2(nat),vEBT_vebt_maxt(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,list_update(vEBT_VEBT,treeList,aa(nat,nat,aa(nat,fun(nat,nat),divide_divide(nat),aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),summin),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),na))),lx)),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),na)),vEBT_vebt_delete(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,treeList),aa(nat,nat,aa(nat,fun(nat,nat),divide_divide(nat),aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),summin),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),na))),lx)),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),na))),modulo_modulo(nat,aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),summin),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),na))),lx),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),na))))),aa(option(nat),nat,the2(nat),vEBT_vebt_maxt(vEBT_vebt_delete(summary,aa(nat,nat,aa(nat,fun(nat,nat),divide_divide(nat),aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),summin),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),na))),lx)),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),na)))))))),
    inference(definition_unfolding,[],[f25644,f25618,f25618,f25620,f25618]) ).

tff(f29836,plain,
    aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),na)),maxs)),maxi) != aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),aa(nat,nat,aa(nat,fun(nat,nat),divide_divide(nat),deg),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))))),aa(option(nat),nat,the2(nat),vEBT_vebt_maxt(vEBT_vebt_delete(summary,aa(nat,nat,aa(nat,fun(nat,nat),divide_divide(nat),aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),summin),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),na))),lx)),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),na))))))),aa(option(nat),nat,the2(nat),vEBT_vebt_maxt(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,treeList),maxs)))),
    inference(forward_demodulation,[],[f29316,f29328]) ).

tff(f29837,plain,
    aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),na)),maxs)),maxi) != aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),aa(nat,nat,aa(nat,fun(nat,nat),divide_divide(nat),deg),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))))),aa(option(nat),nat,the2(nat),vEBT_vebt_maxt(vEBT_vebt_delete(summary,aa(nat,nat,aa(nat,fun(nat,nat),divide_divide(nat),aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),summin),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),na))),lx)),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),na))))))),aa(option(nat),nat,the2(nat),aa(nat,option(nat),some(nat),maxi))),
    inference(forward_demodulation,[],[f29836,f25635]) ).

tff(f29838,plain,
    aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),na)),maxs)),maxi) != aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),aa(nat,nat,aa(nat,fun(nat,nat),divide_divide(nat),deg),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))))),aa(option(nat),nat,the2(nat),vEBT_vebt_maxt(vEBT_vebt_delete(summary,aa(nat,nat,aa(nat,fun(nat,nat),divide_divide(nat),aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),summin),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),na))),lx)),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),na))))))),maxi),
    inference(forward_demodulation,[],[f29837,f25549]) ).

tff(f29839,plain,
    aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),na)),maxs)),maxi) != aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),aa(nat,nat,aa(nat,fun(nat,nat),divide_divide(nat),deg),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))))),aa(option(nat),nat,the2(nat),aa(nat,option(nat),some(nat),maxs)))),maxi),
    inference(forward_demodulation,[],[f29838,f29325]) ).

tff(f29840,plain,
    aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),na)),maxs)),maxi) != aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),aa(nat,nat,aa(nat,fun(nat,nat),divide_divide(nat),deg),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))))),maxs)),maxi),
    inference(forward_demodulation,[],[f29839,f25549]) ).

tff(f29841,plain,
    aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),na)),maxs)),maxi) != aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),aa(nat,nat,aa(nat,fun(nat,nat),times_times(nat),aa(nat,nat,aa(nat,fun(nat,nat),power_power(nat),aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))),na)),maxs)),maxi),
    inference(forward_demodulation,[],[f29840,f25633]) ).

tff(f29842,plain,
    $false,
    inference(trivial_inequality_removal,[],[f29841]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : ITP257_4 : TPTP v9.3.1. Bugfixed v9.3.0.
% 0.00/0.06  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.38  % Computer : n015.cluster.edu
% 0.11/0.38  % Model    : x86_64 x86_64
% 0.11/0.38  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.38  % Memory   : 8046.5625MB
% 0.11/0.38  % OS       : Linux 6.8.0-71-generic
% 0.11/0.39  % CPULimit : 300
% 0.11/0.39  % WCLimit  : 300
% 0.11/0.39  % DateTime : Sun Sep 27 12:42:45 UTC 2026
% 0.11/0.39  % CPUTime  : 
% 0.11/0.39  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.43  Running first-order theorem proving
% 0.11/0.43  Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 11.51/3.54  % (1618994)Detected formulas, will run a generic FOF schedule.
% 11.51/3.54  % (1619005)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=2030124684:i=141193_2988 on theBenchmark for (2988ds/141193Mi)
% 11.51/3.54  % (1619009)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3044133292:i=119:av=off:ss=axioms_2988 on theBenchmark for (2988ds/119Mi)
% 11.51/3.54  % (1619007)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=2003501823:i=141695:sd=1:nm=32:gsp=on:ss=included_2988 on theBenchmark for (2988ds/141695Mi)
% 11.51/3.54  % (1619010)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1584143783:s2a=on:i=139:gtg=position_2988 on theBenchmark for (2988ds/139Mi)
% 11.51/3.54  % (1619011)dis-21_1_sil=8000:lcm=predicate:random_seed=4105530556:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2988 on theBenchmark for (2988ds/129Mi)
% 11.51/3.54  % (1619006)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=3056993251:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2988 on theBenchmark for (2988ds/134677Mi)
% 11.51/3.54  % (1619008)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=4104125619:i=109:sd=1:ins=1:gsp=on:ss=axioms_2988 on theBenchmark for (2988ds/109Mi)
% 11.51/3.54  % (1619008)Instruction limit reached! 
% 11.51/3.54  % (1619008)------------------------------
% 11.51/3.54  % (1619008)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.51/3.54  % (1619008)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.51/3.54  % (1619008)CaDiCaL version: 2.1.3
% 11.51/3.54  % (1619008)Termination reason: Instruction limit
% 11.51/3.54  % (1619008)Termination phase: Initialization
% 11.51/3.54  % (1619008)Time elapsed: 0.052 s
% 11.51/3.54  % (1619008)Peak memory usage: 100 MB
% 11.51/3.54  % (1619008)Instructions burned: 109 (million)
% 11.51/3.54  % (1619010)Instruction limit reached! 
% 11.51/3.54  % (1619010)------------------------------
% 11.51/3.54  % (1619010)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.51/3.54  % (1619010)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.51/3.54  % (1619010)CaDiCaL version: 2.1.3
% 11.51/3.54  % (1619010)Termination reason: Instruction limit
% 11.51/3.54  % (1619010)Termination phase: Property scanning
% 11.51/3.54  % (1619010)Time elapsed: 0.055 s
% 11.51/3.54  % (1619010)Peak memory usage: 97 MB
% 11.51/3.54  % (1619010)Instructions burned: 142 (million)
% 11.51/3.54  % (1619009)Instruction limit reached! 
% 11.51/3.54  % (1619009)------------------------------
% 11.51/3.54  % (1619009)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.51/3.54  % (1619009)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.51/3.54  % (1619009)CaDiCaL version: 2.1.3
% 11.51/3.54  % (1619009)Termination reason: Instruction limit
% 11.51/3.54  % (1619009)Termination phase: Initialization
% 11.51/3.54  % (1619009)Time elapsed: 0.057 s
% 11.51/3.54  % (1619009)Peak memory usage: 100 MB
% 11.51/3.54  % (1619009)Instructions burned: 121 (million)
% 11.51/3.54  % (1619011)Instruction limit reached! 
% 11.51/3.54  % (1619011)------------------------------
% 11.51/3.54  % (1619011)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.51/3.54  % (1619011)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.51/3.54  % (1619011)CaDiCaL version: 2.1.3
% 11.51/3.54  % (1619011)Termination reason: Instruction limit
% 11.51/3.54  % (1619011)Termination phase: Initialization
% 11.51/3.54  % (1619011)Time elapsed: 0.061 s
% 11.51/3.54  % (1619011)Peak memory usage: 100 MB
% 11.51/3.54  % (1619011)Instructions burned: 129 (million)
% 11.51/3.54  % (1619020)lrs+10_1_sil=32000:urr=on:br=off:random_seed=2938318685:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2986 on theBenchmark for (2986ds/157Mi)
% 11.51/3.54  % (1619019)lrs+10_1_sil=8000:sp=occurrence:random_seed=3831724533:i=285:sd=3:ss=axioms:sgt=8_2986 on theBenchmark for (2986ds/285Mi)
% 11.51/3.54  % (1619022)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=3015809193:s2a=on:i=248:s2at=1.23:gtg=position_2986 on theBenchmark for (2986ds/248Mi)
% 11.51/3.54  % (1619021)lrs+1011_1_sil=32000:sp=occurrence:random_seed=2828230120:i=325:sd=1:ss=axioms:sgt=32_2986 on theBenchmark for (2986ds/325Mi)
% 11.51/3.54  % (1619020)Instruction limit reached! 
% 15.22/4.09  % (1619020)------------------------------
% 15.22/4.09  % (1619020)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.22/4.09  % (1619020)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.22/4.09  % (1619020)CaDiCaL version: 2.1.3
% 15.22/4.09  % (1619020)Termination reason: Instruction limit
% 15.22/4.09  % (1619020)Termination phase: Property scanning
% 15.22/4.09  % (1619020)Time elapsed: 0.061 s
% 15.22/4.09  % (1619020)Peak memory usage: 97 MB
% 15.22/4.09  % (1619020)Instructions burned: 157 (million)
% 15.22/4.09  % (1619022)Instruction limit reached! 
% 15.22/4.09  % (1619022)------------------------------
% 15.22/4.09  % (1619022)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.22/4.09  % (1619022)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.22/4.09  % (1619022)CaDiCaL version: 2.1.3
% 15.22/4.09  % (1619022)Termination reason: Instruction limit
% 15.22/4.09  % (1619022)Termination phase: Property scanning
% 15.22/4.09  % (1619022)Time elapsed: 0.097 s
% 15.22/4.09  % (1619022)Peak memory usage: 97 MB
% 15.22/4.09  % (1619022)Instructions burned: 248 (million)
% 15.22/4.09  % (1619019)Instruction limit reached! 
% 15.22/4.09  % (1619019)------------------------------
% 15.22/4.09  % (1619019)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.22/4.09  % (1619019)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.22/4.09  % (1619019)CaDiCaL version: 2.1.3
% 15.22/4.09  % (1619019)Termination reason: Instruction limit
% 15.22/4.09  % (1619019)Termination phase: Initialization
% 15.22/4.09  % (1619019)Time elapsed: 0.135 s
% 15.22/4.09  % (1619019)Peak memory usage: 103 MB
% 15.22/4.09  % (1619019)Instructions burned: 287 (million)
% 15.22/4.09  % (1619021)Instruction limit reached! 
% 15.22/4.09  % (1619021)------------------------------
% 15.22/4.09  % (1619021)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.22/4.09  % (1619021)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.22/4.09  % (1619021)CaDiCaL version: 2.1.3
% 15.22/4.09  % (1619021)Termination reason: Instruction limit
% 15.22/4.09  % (1619021)Termination phase: Initialization
% 15.22/4.09  % (1619021)Time elapsed: 0.153 s
% 15.22/4.09  % (1619021)Peak memory usage: 104 MB
% 15.22/4.09  % (1619021)Instructions burned: 327 (million)
% 15.22/4.09  % (1619027)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=1733812425:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2984 on theBenchmark for (2984ds/294Mi)
% 15.22/4.09  % (1619028)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=1870525487:i=2350_2983 on theBenchmark for (2983ds/2350Mi)
% 15.22/4.09  % (1619029)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=1055419230:cts=off:i=113:fsr=off:ss=included:sgt=4_2983 on theBenchmark for (2983ds/113Mi)
% 15.22/4.09  % (1619030)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=2198395000:i=127:av=off:fsr=off:sup=off_2983 on theBenchmark for (2983ds/127Mi)
% 15.22/4.09  % (1619029)Instruction limit reached! 
% 15.22/4.09  % (1619029)------------------------------
% 15.22/4.09  % (1619029)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.22/4.09  % (1619029)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.22/4.09  % (1619029)CaDiCaL version: 2.1.3
% 15.22/4.09  % (1619029)Termination reason: Instruction limit
% 15.22/4.09  % (1619029)Termination phase: Initialization
% 15.22/4.09  % (1619029)Time elapsed: 0.055 s
% 15.22/4.09  % (1619029)Peak memory usage: 100 MB
% 15.22/4.09  % (1619029)Instructions burned: 114 (million)
% 15.22/4.09  % (1619027)Instruction limit reached! 
% 15.22/4.09  % (1619027)------------------------------
% 15.22/4.09  % (1619027)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.22/4.09  % (1619027)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.22/4.09  % (1619027)CaDiCaL version: 2.1.3
% 15.22/4.09  % (1619027)Termination reason: Instruction limit
% 15.22/4.09  % (1619027)Termination phase: Initialization
% 15.22/4.09  % (1619027)Time elapsed: 0.138 s
% 15.22/4.09  % (1619027)Peak memory usage: 104 MB
% 15.22/4.09  % (1619027)Instructions burned: 294 (million)
% 15.22/4.09  % (1619030)Instruction limit reached! 
% 15.22/4.09  % (1619030)------------------------------
% 15.22/4.09  % (1619030)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.22/4.09  % (1619030)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.22/4.09  % (1619030)CaDiCaL version: 2.1.3
% 18.73/4.64  % (1619030)Termination reason: Instruction limit
% 18.73/4.64  % (1619030)Termination phase: Initialization
% 18.73/4.64  % (1619030)Time elapsed: 0.062 s
% 18.73/4.64  % (1619030)Peak memory usage: 100 MB
% 18.73/4.64  % (1619030)Instructions burned: 128 (million)
% 18.73/4.64  % (1619035)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=3411272555:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2981 on theBenchmark for (2981ds/114Mi)
% 18.73/4.64  % (1619036)lrs+10_1_sil=8000:sp=occurrence:random_seed=1808609712:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2981 on theBenchmark for (2981ds/907Mi)
% 18.73/4.64  % (1619037)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=3081132244:i=437:sd=1:aac=none:ss=included_2980 on theBenchmark for (2980ds/437Mi)
% 18.73/4.64  % (1619035)Instruction limit reached! 
% 18.73/4.64  % (1619035)------------------------------
% 18.73/4.64  % (1619035)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.73/4.64  % (1619035)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.73/4.64  % (1619035)CaDiCaL version: 2.1.3
% 18.73/4.64  % (1619035)Termination reason: Instruction limit
% 18.73/4.64  % (1619035)Termination phase: Property scanning
% 18.73/4.64  % (1619035)Time elapsed: 0.045 s
% 18.73/4.64  % (1619035)Peak memory usage: 97 MB
% 18.73/4.64  % (1619035)Instructions burned: 115 (million)
% 18.73/4.64  % Exception at run slice level
% 18.73/4.64  User error: GNN currently only supports monomorphic FOL.
% 18.73/4.64  % (1619041)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=1356328707:i=5202:ss=axioms:sgt=16_2979 on theBenchmark for (2979ds/5202Mi)
% 18.73/4.64  % (1619037)Instruction limit reached! 
% 18.73/4.64  % (1619037)------------------------------
% 18.73/4.64  % (1619037)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.73/4.64  % (1619037)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.73/4.64  % (1619037)CaDiCaL version: 2.1.3
% 18.73/4.64  % (1619037)Termination reason: Instruction limit
% 18.73/4.64  % (1619037)Termination phase: Initialization
% 18.73/4.64  % (1619037)Time elapsed: 0.210 s
% 18.73/4.64  % (1619037)Peak memory usage: 107 MB
% 18.73/4.64  % (1619037)Instructions burned: 438 (million)
% 18.73/4.64  % (1619042)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=1985707198:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2978 on theBenchmark for (2978ds/134Mi)
% 18.73/4.64  % (1619042)Instruction limit reached! 
% 18.73/4.64  % (1619042)------------------------------
% 18.73/4.64  % (1619042)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.73/4.64  % (1619042)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.73/4.64  % (1619042)CaDiCaL version: 2.1.3
% 18.73/4.64  % (1619042)Termination reason: Instruction limit
% 18.73/4.64  % (1619042)Termination phase: SInE selection
% 18.73/4.64  % (1619042)Time elapsed: 0.045 s
% 18.73/4.64  % (1619042)Peak memory usage: 97 MB
% 18.73/4.64  % (1619042)Instructions burned: 136 (million)
% 18.73/4.64  % (1619044)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=3625967094:st=8:i=592:sd=3:ep=RST:ss=axioms_2977 on theBenchmark for (2977ds/592Mi)
% 18.73/4.64  % (1619036)Instruction limit reached! 
% 18.73/4.64  % (1619036)------------------------------
% 18.73/4.64  % (1619036)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.73/4.64  % (1619036)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.73/4.64  % (1619036)CaDiCaL version: 2.1.3
% 18.73/4.64  % (1619036)Termination reason: Instruction limit
% 18.73/4.64  % (1619036)Termination phase: SInE selection
% 18.73/4.64  % (1619036)Time elapsed: 0.423 s
% 18.73/4.64  % (1619036)Peak memory usage: 108 MB
% 18.73/4.64  % (1619036)Instructions burned: 908 (million)
% 18.73/4.64  % (1619046)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=3073400155:st=3:i=13193:sd=3:ss=axioms_2976 on theBenchmark for (2976ds/13193Mi)
% 18.73/4.64  % (1619048)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=4006657849:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2975 on theBenchmark for (2975ds/125Mi)
% 18.73/4.64  % (1619048)Instruction limit reached! 
% 18.73/4.64  % (1619048)------------------------------
% 18.73/4.64  % (1619048)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.73/4.64  % (1619048)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.73/4.64  % (1619048)CaDiCaL version: 2.1.3
% 18.73/4.64  % (1619048)Termination reason: Instruction limit
% 31.19/6.21  % (1619048)Termination phase: Property scanning
% 31.19/6.21  % (1619048)Time elapsed: 0.049 s
% 31.19/6.21  % (1619048)Peak memory usage: 97 MB
% 31.19/6.21  % (1619048)Instructions burned: 126 (million)
% 31.19/6.21  % (1619044)Instruction limit reached! 
% 31.19/6.21  % (1619044)------------------------------
% 31.19/6.21  % (1619044)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 31.19/6.21  % (1619044)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 31.19/6.21  % (1619044)CaDiCaL version: 2.1.3
% 31.19/6.21  % (1619044)Termination reason: Instruction limit
% 31.19/6.21  % (1619044)Termination phase: Property scanning
% 31.19/6.21  % (1619044)Time elapsed: 0.273 s
% 31.19/6.21  % (1619044)Peak memory usage: 108 MB
% 31.19/6.21  % (1619044)Instructions burned: 594 (million)
% 31.19/6.21  % (1619007)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 31.19/6.21  % (1619051)lrs+10_1024_to=lpo:sil=8000:tgt=full:sp=arity:slsq=on:random_seed=1706859563:i=134:gtgl=5:slsql=off:gtg=exists_sym_2973 on theBenchmark for (2973ds/134Mi)
% 31.19/6.21  % (1619051)Instruction limit reached! 
% 31.19/6.21  % (1619051)------------------------------
% 31.19/6.21  % (1619051)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 31.19/6.21  % (1619051)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 31.19/6.21  % (1619051)CaDiCaL version: 2.1.3
% 31.19/6.21  % (1619051)Termination reason: Instruction limit
% 31.19/6.21  % (1619051)Termination phase: Property scanning
% 31.19/6.21  % (1619051)Time elapsed: 0.053 s
% 31.19/6.21  % (1619051)Peak memory usage: 97 MB
% 31.19/6.21  % (1619051)Instructions burned: 135 (million)
% 31.19/6.21  % (1619052)lrs+10_1_sil=16000:plsq=on:plsqc=1:plsqr=32,1:sos=on:lcm=reverse:fd=off:newcnf=on:random_seed=2553265516:i=141:sd=1:gsp=on:sup=off:ss=axioms:sgt=8_2972 on theBenchmark for (2972ds/141Mi)
% 31.19/6.21  % (1619028)Instruction limit reached! 
% 31.19/6.21  % (1619028)------------------------------
% 31.19/6.21  % (1619028)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 31.19/6.21  % (1619028)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 31.19/6.21  % (1619028)CaDiCaL version: 2.1.3
% 31.19/6.21  % (1619028)Termination reason: Instruction limit
% 31.19/6.21  % (1619028)Termination phase: Property scanning
% 31.19/6.21  % (1619028)Time elapsed: 1.131 s
% 31.19/6.21  % (1619028)Peak memory usage: 127 MB
% 31.19/6.21  % (1619028)Instructions burned: 2352 (million)
% 31.19/6.21  % (1619052)Instruction limit reached! 
% 31.19/6.21  % (1619052)------------------------------
% 31.19/6.21  % (1619052)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 31.19/6.21  % (1619052)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 31.19/6.21  % (1619052)CaDiCaL version: 2.1.3
% 31.19/6.21  % (1619052)Termination reason: Instruction limit
% 31.19/6.21  % (1619052)Termination phase: Preprocessing 1
% 31.19/6.21  % (1619052)Time elapsed: 0.087 s
% 31.19/6.21  % (1619052)Peak memory usage: 97 MB
% 31.19/6.21  % (1619052)Instructions burned: 141 (million)
% 31.19/6.21  % (1619054)lrs+1011_1_sil=8000:plsq=on:sp=occurrence:fs=off:random_seed=867146956:i=431:sd=1:fsr=off:sup=off:ss=axioms:sgt=64_2971 on theBenchmark for (2971ds/431Mi)
% 31.19/6.21  % (1619056)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=3260319487:i=6060:aac=none:ins=25_2970 on theBenchmark for (2970ds/6060Mi)
% 31.19/6.21  % Exception at run slice level
% 31.19/6.21  User error: GNN currently only supports monomorphic FOL.
% 31.19/6.21  % (1619057)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=3049786930:avsq=on:s2a=on:i=150:kws=precedence:nicw=on:gsp=on:rawr=on_2970 on theBenchmark for (2970ds/150Mi)
% 31.19/6.21  % Exception at run slice level
% 31.19/6.21  User error: GNN currently only supports monomorphic FOL.
% 31.19/6.21  % (1619057)Instruction limit reached! 
% 31.19/6.21  % (1619057)------------------------------
% 31.19/6.21  % (1619057)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 31.19/6.21  % (1619057)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 31.19/6.21  % (1619057)CaDiCaL version: 2.1.3
% 31.19/6.21  % (1619057)Termination reason: Instruction limit
% 31.19/6.21  % (1619057)Termination phase: Initialization
% 31.19/6.21  % (1619057)Time elapsed: 0.073 s
% 31.19/6.21  % (1619057)Peak memory usage: 101 MB
% 41.73/7.75  % (1619057)Instructions burned: 153 (million)
% 41.73/7.75  % (1619054)Instruction limit reached! 
% 41.73/7.75  % (1619054)------------------------------
% 41.73/7.75  % (1619054)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 41.73/7.75  % (1619054)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 41.73/7.75  % (1619054)CaDiCaL version: 2.1.3
% 41.73/7.75  % (1619054)Termination reason: Instruction limit
% 41.73/7.75  % (1619054)Termination phase: Initialization
% 41.73/7.75  % (1619054)Time elapsed: 0.206 s
% 41.73/7.75  % (1619054)Peak memory usage: 107 MB
% 41.73/7.75  % (1619054)Instructions burned: 432 (million)
% 41.73/7.75  % (1619060)lrs+1010_1_ncem=casc2026/models/loop8.pt:sil=64000:tgt=ground:npcc=on:sp=arity:urr=on:random_seed=1488296006:i=14155:bd=all_2968 on theBenchmark for (2968ds/14155Mi)
% 41.73/7.75  % (1619062)lrs+10_1024_sil=16000:plsq=on:plsqr=32,1:sos=all:fs=off:gs=on:newcnf=on:random_seed=2685514711:i=667:av=off:fsr=off_2968 on theBenchmark for (2968ds/667Mi)
% 41.73/7.75  % Exception at run slice level
% 41.73/7.75  User error: GNN currently only supports monomorphic FOL.
% 41.73/7.75  % (1619063)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=3930265808:s2a=on:i=185:s2at=1.8:fdi=4_2967 on theBenchmark for (2967ds/185Mi)
% 41.73/7.75  % (1619064)dis+1010_14_anc=all:to=lpo:sil=8000:sp=arity:slsq=on:random_seed=2532325060:i=193:ins=10:fsr=off:ss=axioms:fsd=on_2967 on theBenchmark for (2967ds/193Mi)
% 41.73/7.75  % (1619062)Instruction limit reached! 
% 41.73/7.75  % (1619062)------------------------------
% 41.73/7.75  % (1619062)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 41.73/7.75  % (1619062)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 41.73/7.75  % (1619062)CaDiCaL version: 2.1.3
% 41.73/7.75  % (1619062)Termination reason: Instruction limit
% 41.73/7.75  % (1619062)Termination phase: NewCNF
% 41.73/7.75  % (1619062)Time elapsed: 0.177 s
% 41.73/7.75  % (1619062)Peak memory usage: 115 MB
% 41.73/7.75  % (1619062)Instructions burned: 668 (million)
% 41.73/7.75  % (1619063)Instruction limit reached! 
% 41.73/7.75  % (1619063)------------------------------
% 41.73/7.75  % (1619063)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 41.73/7.75  % (1619063)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 41.73/7.75  % (1619063)CaDiCaL version: 2.1.3
% 41.73/7.75  % (1619063)Termination reason: Instruction limit
% 41.73/7.75  % (1619063)Termination phase: SInE selection
% 41.73/7.75  % (1619063)Time elapsed: 0.098 s
% 41.73/7.75  % (1619063)Peak memory usage: 97 MB
% 41.73/7.75  % (1619063)Instructions burned: 186 (million)
% 41.73/7.75  % Exception at run slice level
% 41.73/7.75  User error: GNN currently only supports monomorphic FOL.
% 41.73/7.75  % (1619067)dis+1011_7_sil=8000:sp=occurrence:sos=all:fd=off:random_seed=2764879431:st=5.3:i=4850:sd=4:av=off:sup=off:ss=included:sgt=16_2966 on theBenchmark for (2966ds/4850Mi)
% 41.73/7.75  % (1619064)Instruction limit reached! 
% 41.73/7.75  % (1619064)------------------------------
% 41.73/7.75  % (1619064)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 41.73/7.75  % (1619064)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 41.73/7.75  % (1619064)CaDiCaL version: 2.1.3
% 41.73/7.75  % (1619064)Termination reason: Instruction limit
% 41.73/7.75  % (1619064)Termination phase: Initialization
% 41.73/7.75  % (1619064)Time elapsed: 0.091 s
% 41.73/7.75  % (1619064)Peak memory usage: 102 MB
% 41.73/7.75  % (1619064)Instructions burned: 193 (million)
% 41.73/7.75  % (1619070)lrs+1011_1_ncem=casc2026/models/loop8.pt:sil=32000:tgt=ground:npcc=on:sp=const_frequency:acc=on:urr=on:random_seed=391183925:i=12111:sd=1:ss=included_2965 on theBenchmark for (2965ds/12111Mi)
% 41.73/7.75  % (1619072)lrs-11_32_anc=all:sil=8000:spb=goal_then_units:sac=on:random_seed=1636988837:i=319:kws=precedence:fsr=off_2965 on theBenchmark for (2965ds/319Mi)
% 41.73/7.75  % (1619073)dis+2_1024_sil=8000:sp=reverse_arity:sos=on:lcm=reverse:sac=on:random_seed=3629952534:i=2064:ep=RST_2965 on theBenchmark for (2965ds/2064Mi)
% 41.73/7.75  % (1619074)dis-1011_128_sil=32000:random_seed=1590274223:i=3706:ep=RST:av=off_2964 on theBenchmark for (2964ds/3706Mi)
% 41.73/7.75  % (1619072)Instruction limit reached! 
% 41.73/7.75  % (1619072)------------------------------
% 41.73/7.75  % (1619072)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 41.73/7.75  % (1619072)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 45.71/8.63  % (1619072)CaDiCaL version: 2.1.3
% 45.71/8.63  % (1619072)Termination reason: Instruction limit
% 45.71/8.63  % (1619072)Termination phase: Initialization
% 45.71/8.63  % (1619072)Time elapsed: 0.149 s
% 45.71/8.63  % (1619072)Peak memory usage: 104 MB
% 45.71/8.63  % (1619072)Instructions burned: 319 (million)
% 45.71/8.63  % (1619079)lrs-1002_1_sil=8000:plsq=on:plsqr=32,1:sp=occurrence:sos=on:fs=off:gs=on:newcnf=on:random_seed=1653713311:i=757:sd=2:fsr=off:ss=axioms:sgt=40_2962 on theBenchmark for (2962ds/757Mi)
% 45.71/8.63  % (1619079)Instruction limit reached! 
% 45.71/8.63  % (1619079)------------------------------
% 45.71/8.63  % (1619079)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 45.71/8.63  % (1619079)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 45.71/8.63  % (1619079)CaDiCaL version: 2.1.3
% 45.71/8.63  % (1619079)Termination reason: Instruction limit
% 45.71/8.63  % (1619079)Termination phase: Property scanning
% 45.71/8.63  % (1619079)Time elapsed: 0.349 s
% 45.71/8.63  % (1619079)Peak memory usage: 110 MB
% 45.71/8.63  % (1619079)Instructions burned: 759 (million)
% 45.71/8.63  % (1619081)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=64000:npcc=on:sp=occurrence:random_seed=2885500804:i=13913:ss=axioms:sgt=8_2957 on theBenchmark for (2957ds/13913Mi)
% 45.71/8.63  % Exception at run slice level
% 45.71/8.63  User error: GNN currently only supports monomorphic FOL.
% 45.71/8.63  % (1619073)Instruction limit reached! 
% 45.71/8.63  % (1619073)------------------------------
% 45.71/8.63  % (1619073)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 45.71/8.63  % (1619073)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 45.71/8.63  % (1619073)CaDiCaL version: 2.1.3
% 45.71/8.63  % (1619073)Termination reason: Instruction limit
% 45.71/8.63  % (1619073)Termination phase: Property scanning
% 45.71/8.63  % (1619073)Time elapsed: 0.971 s
% 45.71/8.63  % (1619073)Peak memory usage: 127 MB
% 45.71/8.63  % (1619073)Instructions burned: 2066 (million)
% 45.71/8.63  % (1619083)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:sp=const_frequency:sos=all:lma=off:random_seed=3040481555:i=9925:aac=none_2954 on theBenchmark for (2954ds/9925Mi)
% 45.71/8.63  % (1619084)dis-1010_50_to=lpo:sil=32000:sp=arity:sos=on:spb=goal_then_units:urr=ec_only:slsq=on:random_seed=2170137830:i=2479:sd=2:nm=16:fsr=off:ss=axioms_2953 on theBenchmark for (2953ds/2479Mi)
% 45.71/8.63  % Exception at run slice level
% 45.71/8.63  User error: GNN currently only supports monomorphic FOL.
% 45.71/8.63  % (1619067)Refutation not found, incomplete strategy
% 45.71/8.63  % (1619067)------------------------------
% 45.71/8.63  % (1619067)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 45.71/8.63  % (1619067)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 45.71/8.63  % (1619067)CaDiCaL version: 2.1.3
% 45.71/8.63  % (1619067)Termination reason: Refutation not found, incomplete strategy
% 45.71/8.63  % (1619067)Time elapsed: 1.550 s
% 45.71/8.63  % (1619067)Peak memory usage: 144 MB
% 45.71/8.63  % (1619067)Instructions burned: 3306 (million)
% 45.71/8.63  % (1619087)ott+1002_64_sil=16000:sp=const_min:nwc=0.5:random_seed=1016110612:i=440:nm=2:av=off:gtg=exists_all:fdi=8:gsp=on_2950 on theBenchmark for (2950ds/440Mi)
% 45.71/8.63  % Exception at run slice level
% 45.71/8.63  User error: GNN currently only supports monomorphic FOL.
% 45.71/8.63  % (1619087)Instruction limit reached! 
% 45.71/8.63  % (1619087)------------------------------
% 45.71/8.63  % (1619087)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 45.71/8.63  % (1619087)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 45.71/8.63  % (1619087)CaDiCaL version: 2.1.3
% 45.71/8.63  % (1619087)Termination reason: Instruction limit
% 45.71/8.63  % (1619087)Termination phase: Property scanning
% 45.71/8.63  % (1619087)Time elapsed: 0.181 s
% 45.71/8.63  % (1619087)Peak memory usage: 97 MB
% 45.71/8.63  % (1619087)Instructions burned: 445 (million)
% 45.71/8.63  % (1619067)------------------------------
% 45.71/8.63  % (1619067)------------------------------
% 45.71/8.63  % (1619074)Instruction limit reached! 
% 45.71/8.63  % (1619074)------------------------------
% 45.71/8.63  % (1619074)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 45.71/8.63  % (1619074)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 45.71/8.63  % (1619074)CaDiCaL version: 2.1.3
% 45.71/8.63  % (1619074)Termination reason: Instruction limit
% 45.71/8.63  % (1619074)Termination phase: Saturation
% 45.71/8.63  % (1619074)Time elapsed: 1.678 s
% 52.65/9.27  % (1619074)Peak memory usage: 137 MB
% 52.65/9.27  % (1619074)Instructions burned: 3707 (million)
% 52.65/9.27  % (1619089)dis-1011_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:erd=off:lsd=100:bsr=unit_only:random_seed=2266943728:st=1.5:i=11145:s2at=3:sd=3:fsr=off:ss=axioms_2948 on theBenchmark for (2948ds/11145Mi)
% 52.65/9.27  % (1619090)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=1515869840:cts=off:i=3034:av=off:er=known:fsd=on_2947 on theBenchmark for (2947ds/3034Mi)
% 52.65/9.27  % (1619091)lrs-1011_64:1_sil=8000:erd=off:urr=on:nwc=0.7:br=off:random_seed=3386665834:st=2:s2a=on:i=524:s2at=2:ss=axioms_2947 on theBenchmark for (2947ds/524Mi)
% 52.65/9.27  % (1619093)lrs+1011_16:1_sil=8000:acc=on:urr=on:fd=preordered:flr=on:random_seed=1075104183:avsq=on:i=1016:avsqr=676809,524288:sd=1:ss=axioms_2946 on theBenchmark for (2946ds/1016Mi)
% 52.65/9.27  % Exception at run slice level
% 52.65/9.27  User error: GNN currently only supports monomorphic FOL.
% 52.65/9.27  % Exception at run slice level
% 52.65/9.27  User error: GNN currently only supports monomorphic FOL.
% 52.65/9.27  % (1619098)dis+10_4096_slsqr=16,1:sil=32000:tgt=full:plsq=on:bsr=unit_only:slsqc=1:slsq=on:random_seed=3382233712:i=5781:kws=precedence:bd=all:rawr=on_2944 on theBenchmark for (2944ds/5781Mi)
% 52.65/9.27  % (1619097)lrs+1010_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:drc=off:fde=none:s2agt=16:random_seed=1914234862:i=14123:bd=preordered:ins=4_2944 on theBenchmark for (2944ds/14123Mi)
% 52.65/9.27  % (1619091)Instruction limit reached! 
% 52.65/9.27  % (1619091)------------------------------
% 52.65/9.27  % (1619091)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 52.65/9.27  % (1619091)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 52.65/9.27  % (1619091)CaDiCaL version: 2.1.3
% 52.65/9.27  % (1619091)Termination reason: Instruction limit
% 52.65/9.27  % (1619091)Termination phase: Property scanning
% 52.65/9.27  % (1619091)Time elapsed: 0.246 s
% 52.65/9.27  % (1619091)Peak memory usage: 108 MB
% 52.65/9.27  % (1619091)Instructions burned: 526 (million)
% 52.65/9.27  % (1619101)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=2550898617:i=2448:gtgl=5:bd=preordered:gtg=all_2943 on theBenchmark for (2943ds/2448Mi)
% 52.65/9.27  % (1619093)Instruction limit reached! 
% 52.65/9.27  % (1619093)------------------------------
% 52.65/9.27  % (1619093)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 52.65/9.27  % (1619093)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 52.65/9.27  % (1619093)CaDiCaL version: 2.1.3
% 52.65/9.27  % (1619093)Termination reason: Instruction limit
% 52.65/9.27  % (1619093)Termination phase: Saturation
% 52.65/9.27  % (1619093)Time elapsed: 0.475 s
% 52.65/9.27  % (1619093)Peak memory usage: 111 MB
% 52.65/9.27  % (1619093)Instructions burned: 1016 (million)
% 52.65/9.27  % (1619084)Instruction limit reached! 
% 52.65/9.27  % (1619084)------------------------------
% 52.65/9.27  % (1619084)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 52.65/9.27  % (1619084)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 52.65/9.27  % (1619084)CaDiCaL version: 2.1.3
% 52.65/9.27  % (1619084)Termination reason: Instruction limit
% 52.65/9.27  % (1619084)Termination phase: Saturation
% 52.65/9.27  % (1619084)Time elapsed: 1.265 s
% 52.65/9.27  % (1619084)Peak memory usage: 119 MB
% 52.65/9.27  % (1619084)Instructions burned: 2480 (million)
% 52.65/9.27  % (1619103)lrs+1011_1_ncem=casc2026/models/loop5.pt:sil=32000:tgt=full:npcc=on:lcm=reverse:random_seed=1268547002:i=3223:kws=precedence:fgj=on:av=off_2940 on theBenchmark for (2940ds/3223Mi)
% 52.65/9.27  % (1619104)lrs+1002_1_ncem=casc2026/models/loop4.pt:sil=8000:npcc=on:sp=occurrence:sos=on:random_seed=1726956883:st=5.6:i=2033:sd=3:ss=axioms_2939 on theBenchmark for (2939ds/2033Mi)
% 52.65/9.27  % Exception at run slice level
% 52.65/9.27  User error: GNN currently only supports monomorphic FOL.
% 52.65/9.27  % (1619107)lrs-1010_1_ncem=casc2026/models/loop8.pt:sil=64000:npcc=on:bsd=on:random_seed=2954598966:i=2055:nm=16:gtg=position:ss=axioms:fsd=on_2934 on theBenchmark for (2934ds/2055Mi)
% 52.65/9.27  % (1619090)Instruction limit reached! 
% 52.65/9.27  % (1619090)------------------------------
% 52.65/9.27  % (1619090)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 52.65/9.27  % (1619090)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 52.65/9.27  % (1619090)CaDiCaL version: 2.1.3
% 52.65/9.27  % (1619090)Termination reason: Instruction limit
% 52.65/9.27  % (1619090)Termination phase: Saturation
% 52.65/9.27  % (1619090)Time elapsed: 1.466 s
% 52.65/9.27  % (1619090)Peak memory usage: 143 MB
% 52.65/9.27  % (1619090)Instructions burned: 3034 (million)
% 52.65/9.27  % (1619101)Instruction limit reached! 
% 52.65/9.27  % (1619101)------------------------------
% 52.65/9.27  % (1619101)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 52.65/9.27  % (1619101)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 52.65/9.27  % (1619101)CaDiCaL version: 2.1.3
% 52.65/9.27  % (1619101)Termination reason: Instruction limit
% 52.65/9.27  % (1619101)Termination phase: Property scanning
% 52.65/9.27  % (1619101)Time elapsed: 1.138 s
% 52.65/9.27  % (1619101)Peak memory usage: 124 MB
% 52.65/9.27  % (1619101)Instructions burned: 2449 (million)
% 52.65/9.27  % (1619109)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=4089837953:i=21611:sd=3:ss=axioms_2931 on theBenchmark for (2931ds/21611Mi)
% 52.65/9.27  % (1619110)lrs+10_1_sil=8000:sp=occurrence:sos=all:lma=off:random_seed=941823522:i=4835:sd=13:ss=axioms:sgt=23_2929 on theBenchmark for (2929ds/4835Mi)
% 52.65/9.27  % (1619104)Instruction limit reached! 
% 52.65/9.27  % (1619104)------------------------------
% 52.65/9.27  % (1619104)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 52.65/9.27  % (1619104)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 52.65/9.27  % (1619104)CaDiCaL version: 2.1.3
% 52.65/9.27  % (1619104)Termination reason: Instruction limit
% 52.65/9.27  % (1619104)Termination phase: Property scanning
% 52.65/9.27  % (1619104)Time elapsed: 0.969 s
% 52.65/9.27  % (1619104)Peak memory usage: 116 MB
% 52.65/9.27  % (1619104)Instructions burned: 2034 (million)
% 52.65/9.27  % (1619098)Instruction limit reached! 
% 52.65/9.27  % (1619098)------------------------------
% 52.65/9.27  % (1619098)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 52.65/9.27  % (1619098)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 52.65/9.27  % (1619098)CaDiCaL version: 2.1.3
% 52.65/9.27  % (1619098)Termination reason: Instruction limit
% 52.65/9.27  % (1619098)Termination phase: Saturation
% 52.65/9.27  % (1619098)Time elapsed: 1.540 s
% 52.65/9.27  % (1619098)Peak memory usage: 142 MB
% 52.65/9.27  % (1619098)Instructions burned: 5783 (million)
% 52.65/9.27  % Exception at run slice level
% 52.65/9.27  User error: GNN currently only supports monomorphic FOL.
% 52.65/9.27  % (1619114)lrs-1011_5_sil=8000:sp=const_max:sos=on:lsd=50:rnwc=on:rp=on:nwc=2.6:alpa=false:random_seed=3420684065:i=2326:kws=inv_precedence:aac=none:nicw=on:bs=unit_only:nm=16:ins=2:fsd=on_2927 on theBenchmark for (2927ds/2326Mi)
% 52.65/9.27  % (1619113)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=499639485:st=5:i=797:s2at=3:sd=4:bs=unit_only:av=off:sup=off:ss=included_2927 on theBenchmark for (2927ds/797Mi)
% 52.65/9.27  % (1619115)lrs+10_1_ncem=casc2026/models/loop5.pt:sil=8000:npcc=on:sos=all:urr=on:br=off:random_seed=2036358125:i=6038:nm=6_2927 on theBenchmark for (2927ds/6038Mi)
% 52.65/9.27  % (1619107)Instruction limit reached! 
% 52.65/9.27  % (1619107)------------------------------
% 52.65/9.27  % (1619107)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 52.65/9.27  % (1619107)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 52.65/9.27  % (1619107)CaDiCaL version: 2.1.3
% 52.65/9.27  % (1619107)Termination reason: Instruction limit
% 52.65/9.27  % (1619107)Termination phase: Saturation
% 52.65/9.27  % (1619107)Time elapsed: 1.011 s
% 52.65/9.27  % (1619107)Peak memory usage: 128 MB
% 52.65/9.27  % (1619107)Instructions burned: 2056 (million)
% 52.65/9.27  % (1619103)Instruction limit reached! 
% 52.65/9.27  % (1619103)------------------------------
% 52.65/9.27  % (1619103)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 52.65/9.27  % (1619103)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 52.65/9.27  % (1619103)CaDiCaL version: 2.1.3
% 52.65/9.27  % (1619103)Termination reason: Instruction limit
% 52.65/9.27  % (1619103)Termination phase: Saturation
% 52.65/9.27  % (1619103)Time elapsed: 1.587 s
% 52.65/9.27  % (1619103)Peak memory usage: 146 MB
% 52.65/9.27  % (1619103)Instructions burned: 3223 (million)
% 52.65/9.27  % (1619113)Instruction limit reached! 
% 52.65/9.27  % (1619113)------------------------------
% 52.65/9.27  % (1619113)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 52.65/9.27  % (1619113)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 52.65/9.27  % (1619113)CaDiCaL version: 2.1.3
% 52.65/9.27  % (1619113)Termination reason: Instruction limit
% 52.65/9.27  % (1619113)Termination phase: NewCNF
% 52.65/9.27  % (1619113)Time elapsed: 0.424 s
% 52.65/9.27  % (1619113)Peak memory usage: 111 MB
% 52.65/9.27  % (1619113)Instructions burned: 797 (million)
% 52.65/9.27  % (1619119)lrs+10_1_sil=32000:sp=occurrence:random_seed=1683067400:st=2:i=33334:sd=3:ss=included:sgt=32_2922 on theBenchmark for (2922ds/33334Mi)
% 52.65/9.27  % (1619120)lrs+10_4_sil=8000:plsq=on:plsqr=1,64:sp=occurrence:urr=on:bsr=on:br=off:random_seed=2163288160:st=3.7:s2a=on:i=1008:s2at=1.2:sd=3:bd=all:av=off:fdi=8:sup=off:ss=axioms_2922 on theBenchmark for (2922ds/1008Mi)
% 52.65/9.27  % (1619114)Instruction limit reached! 
% 52.65/9.27  % (1619114)------------------------------
% 52.65/9.27  % (1619114)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 52.65/9.27  % (1619114)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 52.65/9.27  % (1619114)CaDiCaL version: 2.1.3
% 52.65/9.27  % (1619114)Termination reason: Instruction limit
% 52.65/9.27  % (1619114)Termination phase: Property scanning
% 52.65/9.27  % (1619114)Time elapsed: 0.593 s
% 52.65/9.27  % (1619114)Peak memory usage: 128 MB
% 52.65/9.27  % (1619114)Instructions burned: 2330 (million)
% 52.65/9.27  % (1619121)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=77905273:i=8327:s2at=5:bd=preordered_2922 on theBenchmark for (2922ds/8327Mi)
% 52.65/9.27  % (1619125)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=1088161499:s2a=on:i=1083:s2at=1.87328:slsql=off:ep=RSTC:fdi=16_2920 on theBenchmark for (2920ds/1083Mi)
% 52.65/9.27  % Exception at run slice level
% 52.65/9.27  User error: GNN currently only supports monomorphic FOL.
% 52.65/9.27  % (1619110)First to succeed.
% 52.65/9.27  % (1619110)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-1618994"
% 52.65/9.27  % (1619127)lrs-1004_3_to=lpo:sil=16000:drc=off:sims=off:spb=goal:fd=preordered:random_seed=2480651554:i=1084:sd=1:bd=preordered:av=off:fsr=off:ss=axioms:sgt=14_2919 on theBenchmark for (2919ds/1084Mi)
% 52.65/9.27  % (1619125)Instruction limit reached! 
% 52.65/9.27  % (1619125)------------------------------
% 52.65/9.27  % (1619125)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 52.65/9.27  % (1619125)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 52.65/9.27  % (1619125)CaDiCaL version: 2.1.3
% 52.65/9.27  % (1619125)Termination reason: Instruction limit
% 52.65/9.27  % (1619125)Termination phase: Preprocessing 1
% 52.65/9.27  % (1619125)Time elapsed: 0.283 s
% 52.65/9.27  % (1619125)Peak memory usage: 110 MB
% 52.65/9.27  % (1619125)Instructions burned: 1084 (million)
% 52.65/9.27  % (1619120)Instruction limit reached! 
% 52.65/9.27  % (1619120)------------------------------
% 52.65/9.27  % (1619120)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 52.65/9.27  % (1619120)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 52.65/9.27  % (1619120)CaDiCaL version: 2.1.3
% 52.65/9.27  % (1619120)Termination reason: Instruction limit
% 52.65/9.27  % (1619120)Termination phase: SInE selection
% 52.65/9.27  % (1619120)Time elapsed: 0.468 s
% 52.65/9.27  % (1619120)Peak memory usage: 108 MB
% 52.65/9.27  % (1619120)Instructions burned: 1010 (million)
% 52.65/9.27  % (1619110)Refutation found. Thanks to Tanya!
% 52.65/9.27  % SZS status Theorem for theBenchmark
% 52.65/9.27  % SZS output start Proof for theBenchmark
% See solution above
% 53.30/9.47  % (1619110)------------------------------
% 53.30/9.47  % (1619110)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 53.30/9.47  % (1619110)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 53.30/9.47  % (1619110)CaDiCaL version: 2.1.3
% 53.30/9.47  % (1619110)Termination reason: Refutation
% 53.30/9.47  % (1619110)Time elapsed: 0.958 s
% 53.30/9.47  % (1619110)Peak memory usage: 123 MB
% 53.30/9.47  % (1619110)Instructions burned: 1979 (million)
% 53.30/9.47  % (1619110)------------------------------
% 53.30/9.47  % (1619110)------------------------------
% 53.30/9.47  % (1618994)Success in time 8.405 s
% 53.30/9.47  % Vampire exiting
%------------------------------------------------------------------------------