Vampire---5.0.1.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : ITP236_4 : TPTP v9.3.1. Bugfixed v9.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM

% Computer : n018.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Tue Sep 29 11:31:10 AM UTC 2026

% Result   : Theorem 31.36s 6.42s
% Output   : Refutation 33.17s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   32 (  15 unt;   0 typ;   2 def)
%            Number of atoms       :   69 (  22 equ)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :   45 (  18   ~;  11   |;   5   &)
%                                         (   2 <=>;   9  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   4 avg)
%            Maximal term depth    :    5 (   2 avg)
%            Number of FOOLs       :   22 (  22 fml;   0 var)
%            Number of types       :   13 (  12 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of predicates  :  646 ( 643 usr;   5 prp; 0-7 aty)
%            Number of functors    : 2399 (2399 usr; 110 con; 0-8 aty)
%            Number of variables   :   43 (   0 sgn  36   !;   7   ?;  43   :)

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

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

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

tff(type_def_8,type,
    product_unit: $tType ).

tff(type_def_9,type,
    product_prod: ( $tType * $tType ) > $tType ).

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

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

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

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

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

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

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

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

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

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

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

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

tff(type_def_22,type,
    itself: $tType > $tType ).

tff(type_def_23,type,
    fun: ( $tType * $tType ) > $tType ).

tff(type_def_24,type,
    a: $tType ).

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

tff(func_def_151,type,
    aTP_Lamp_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] : fun(X0,X1) ).

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

tff(func_def_959,type,
    aTP_Lamp_xt: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_960,type,
    aTP_Lamp_xu: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_961,type,
    aTP_Lamp_xv: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_962,type,
    aTP_Lamp_xw: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_963,type,
    aTP_Lamp_xx: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_964,type,
    aTP_Lamp_xy: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_965,type,
    aTP_Lamp_xz: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_966,type,
    aTP_Lamp_ya: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_967,type,
    aTP_Lamp_yb: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_968,type,
    aTP_Lamp_yc: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_969,type,
    aTP_Lamp_yd: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_970,type,
    aTP_Lamp_ye: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_971,type,
    aTP_Lamp_yf: 
      !>[X0: $tType,X1: $tType] : fun(X0,X1) ).

tff(func_def_972,type,
    aTP_Lamp_yg: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_973,type,
    aTP_Lamp_yh: 
      !>[X0: $tType,X1: $tType] : fun(X0,X1) ).

tff(func_def_974,type,
    aTP_Lamp_yi: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_975,type,
    aTP_Lamp_yj: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_976,type,
    aTP_Lamp_yk: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_977,type,
    aTP_Lamp_yl: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_978,type,
    aTP_Lamp_ym: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_979,type,
    aTP_Lamp_yn: 
      !>[X0: $tType,X1: $tType] : fun(X0,X1) ).

tff(func_def_980,type,
    aTP_Lamp_yo: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_981,type,
    aTP_Lamp_yp: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_982,type,
    aTP_Lamp_yq: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_983,type,
    aTP_Lamp_yr: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_984,type,
    aTP_Lamp_ys: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_985,type,
    aTP_Lamp_yt: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_986,type,
    aTP_Lamp_yu: 
      !>[X0: $tType,X1: $tType] : fun(X0,X1) ).

tff(func_def_987,type,
    aTP_Lamp_yv: 
      !>[X0: $tType,X1: $tType] : fun(X0,X1) ).

tff(func_def_988,type,
    aTP_Lamp_yw: 
      !>[X0: $tType,X1: $tType] : fun(X0,X1) ).

tff(func_def_989,type,
    aTP_Lamp_yx: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_990,type,
    aTP_Lamp_yy: 
      !>[X0: $tType,X1: $tType] : fun(X0,X1) ).

tff(func_def_991,type,
    aTP_Lamp_yz: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_992,type,
    aTP_Lamp_za: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_993,type,
    aTP_Lamp_zb: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_994,type,
    aTP_Lamp_zc: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_995,type,
    aTP_Lamp_zd: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_996,type,
    aTP_Lamp_ze: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_997,type,
    aTP_Lamp_zf: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_998,type,
    aTP_Lamp_zg: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_999,type,
    aTP_Lamp_zh: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1000,type,
    aTP_Lamp_zi: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1001,type,
    aTP_Lamp_zj: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1002,type,
    aTP_Lamp_zk: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1003,type,
    aTP_Lamp_zl: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1004,type,
    aTP_Lamp_zm: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1005,type,
    aTP_Lamp_zn: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1006,type,
    aTP_Lamp_zo: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1007,type,
    aTP_Lamp_zp: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1008,type,
    aTP_Lamp_zq: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1009,type,
    aTP_Lamp_zr: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1010,type,
    aTP_Lamp_zs: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1011,type,
    aTP_Lamp_zt: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1012,type,
    aTP_Lamp_zu: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1013,type,
    aTP_Lamp_zv: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1014,type,
    aTP_Lamp_zw: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1015,type,
    aTP_Lamp_zx: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1016,type,
    aTP_Lamp_zy: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1017,type,
    aTP_Lamp_zz: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).

tff(func_def_1018,type,
    archimedean_ceiling: 
      !>[X0: $tType] : ( X0 > int ) ).

tff(func_def_1019,type,
    archim6421214686448440834_floor: 
      !>[X0: $tType] : ( X0 > int ) ).

tff(func_def_1020,type,
    archimedean_frac: 
      !>[X0: $tType] : ( X0 > X0 ) ).

tff(func_def_1021,type,
    archimedean_round: 
      !>[X0: $tType] : ( X0 > int ) ).

tff(func_def_1022,type,
    bNF_Ca8665028551170535155natLeq: set(product_prod(nat,nat)) ).

tff(func_def_1023,type,
    bNF_Ca8459412986667044542atLess: set(product_prod(nat,nat)) ).

tff(func_def_1024,type,
    bNF_Gr: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,X1) ) > set(product_prod(X0,X1)) ) ).

tff(func_def_1025,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_1026,type,
    bNF_Wellorder_Func: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * set(X1) ) > set(fun(X0,X1)) ) ).

tff(func_def_1027,type,
    bNF_We4925052301507509544nc_map: 
      !>[X0: $tType,X1: $tType,X2: $tType,X3: $tType] : ( ( set(X0) * fun(X1,X2) * fun(X0,X3) ) > fun(fun(X3,X1),fun(X0,X2)) ) ).

tff(func_def_1028,type,
    bNF_Wellorder_bsqr: 
      !>[X0: $tType] : ( set(product_prod(X0,X0)) > set(product_prod(product_prod(X0,X0),product_prod(X0,X0))) ) ).

tff(func_def_1029,type,
    bNF_We1388413361240627857o_max2: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * X0 * X0 ) > X0 ) ).

tff(func_def_1030,type,
    basic_BNF_size_prod: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,nat) * fun(X1,nat) * product_prod(X0,X1) ) > nat ) ).

tff(func_def_1031,type,
    binomial: nat > fun(nat,nat) ).

tff(func_def_1032,type,
    gbinomial: 
      !>[X0: $tType] : ( X0 > fun(nat,X0) ) ).

tff(func_def_1033,type,
    bit_and_int_rel: fun(product_prod(int,int),fun(product_prod(int,int),$o)) ).

tff(func_def_1034,type,
    bit_and_not_num: ( num * num ) > option(num) ).

tff(func_def_1035,type,
    bit_concat_bit: ( nat * int * int ) > int ).

tff(func_def_1036,type,
    bit_ri4277139882892585799ns_not: 
      !>[X0: $tType] : fun(X0,X0) ).

tff(func_def_1037,type,
    bit_ri4674362597316999326ke_bit: 
      !>[X0: $tType] : ( nat > fun(X0,X0) ) ).

tff(func_def_1038,type,
    bit_se5824344872417868541ns_and: 
      !>[X0: $tType] : fun(X0,fun(X0,X0)) ).

tff(func_def_1039,type,
    bit_se4197421643247451524op_bit: 
      !>[X0: $tType] : ( nat > fun(X0,X0) ) ).

tff(func_def_1040,type,
    bit_se8732182000553998342ip_bit: 
      !>[X0: $tType] : ( ( nat * X0 ) > X0 ) ).

tff(func_def_1041,type,
    bit_se2239418461657761734s_mask: 
      !>[X0: $tType] : ( nat > X0 ) ).

tff(func_def_1042,type,
    bit_se1065995026697491101ons_or: 
      !>[X0: $tType] : fun(X0,fun(X0,X0)) ).

tff(func_def_1043,type,
    bit_se4730199178511100633sh_bit: 
      !>[X0: $tType] : ( nat > fun(X0,X0) ) ).

tff(func_def_1044,type,
    bit_se5668285175392031749et_bit: 
      !>[X0: $tType] : ( ( nat * X0 ) > X0 ) ).

tff(func_def_1045,type,
    bit_se2584673776208193580ke_bit: 
      !>[X0: $tType] : ( nat > fun(X0,X0) ) ).

tff(func_def_1046,type,
    bit_se2638667681897837118et_bit: 
      !>[X0: $tType] : ( ( nat * X0 ) > X0 ) ).

tff(func_def_1047,type,
    bit_se5824344971392196577ns_xor: 
      !>[X0: $tType] : fun(X0,fun(X0,X0)) ).

tff(func_def_1048,type,
    bit_se5641148757651400278ts_bit: 
      !>[X0: $tType] : ( X0 > fun(nat,$o) ) ).

tff(func_def_1049,type,
    bit_take_bit_num: ( nat * num ) > option(num) ).

tff(func_def_1050,type,
    bit_un7362597486090784418nd_num: ( num * num ) > option(num) ).

tff(func_def_1051,type,
    bit_un2480387367778600638or_num: ( num * num ) > option(num) ).

tff(func_def_1052,type,
    code_bit_cut_integer: code_integer > product_prod(code_integer,$o) ).

tff(func_def_1053,type,
    code_divmod_abs: ( code_integer * code_integer ) > product_prod(code_integer,code_integer) ).

tff(func_def_1054,type,
    code_divmod_integer: ( code_integer * code_integer ) > product_prod(code_integer,code_integer) ).

tff(func_def_1055,type,
    code_int_of_integer: code_integer > int ).

tff(func_def_1056,type,
    code_integer_of_int: int > code_integer ).

tff(func_def_1057,type,
    code_nat_of_integer: code_integer > nat ).

tff(func_def_1058,type,
    complete_Inf_Inf: 
      !>[X0: $tType] : fun(set(X0),X0) ).

tff(func_def_1059,type,
    complete_Sup_Sup: 
      !>[X0: $tType] : fun(set(X0),X0) ).

tff(func_def_1060,type,
    arg: complex > real ).

tff(func_def_1061,type,
    cis: real > complex ).

tff(func_def_1062,type,
    complex2: ( real * real ) > complex ).

tff(func_def_1063,type,
    countable_to_nat_on: 
      !>[X0: $tType] : ( set(X0) > fun(X0,nat) ) ).

tff(func_def_1064,type,
    adjust_div: product_prod(int,int) > int ).

tff(func_def_1065,type,
    divmod_nat: ( nat * nat ) > product_prod(nat,nat) ).

tff(func_def_1066,type,
    unique8689654367752047608divmod: 
      !>[X0: $tType] : ( ( num * num ) > product_prod(X0,X0) ) ).

tff(func_def_1067,type,
    unique1321980374590559556d_step: 
      !>[X0: $tType] : ( ( num * product_prod(X0,X0) ) > product_prod(X0,X0) ) ).

tff(func_def_1068,type,
    comm_s3205402744901411588hammer: 
      !>[X0: $tType] : ( ( X0 * nat ) > X0 ) ).

tff(func_def_1069,type,
    semiring_char_0_fact: 
      !>[X0: $tType] : ( nat > X0 ) ).

tff(func_def_1070,type,
    inverse_inverse: 
      !>[X0: $tType] : fun(X0,X0) ).

tff(func_def_1071,type,
    at_bot: 
      !>[X0: $tType] : filter(X0) ).

tff(func_def_1072,type,
    at_top: 
      !>[X0: $tType] : filter(X0) ).

tff(func_def_1073,type,
    filtercomap: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * filter(X1) ) > filter(X0) ) ).

tff(func_def_1074,type,
    filtermap: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * filter(X0) ) > filter(X1) ) ).

tff(func_def_1075,type,
    finite5375528669736107172at_top: 
      !>[X0: $tType] : ( set(X0) > filter(set(X0)) ) ).

tff(func_def_1076,type,
    map_filter_on: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,X1) * filter(X0) ) > filter(X1) ) ).

tff(func_def_1077,type,
    principal: 
      !>[X0: $tType] : ( set(X0) > filter(X0) ) ).

tff(func_def_1078,type,
    prod_filter: 
      !>[X0: $tType,X1: $tType] : ( ( filter(X0) * filter(X1) ) > filter(product_prod(X0,X1)) ) ).

tff(func_def_1079,type,
    finite_Fpow: 
      !>[X0: $tType] : ( set(X0) > set(set(X0)) ) ).

tff(func_def_1080,type,
    finite_card: 
      !>[X0: $tType] : fun(set(X0),nat) ).

tff(func_def_1081,type,
    finite_finite2: 
      !>[X0: $tType] : fun(set(X0),$o) ).

tff(func_def_1082,type,
    finite_fold: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,fun(X1,X1)) * X1 * set(X0) ) > X1 ) ).

tff(func_def_1083,type,
    finite_folding_F: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,fun(X1,X1)) * X1 ) > fun(set(X0),X1) ) ).

tff(func_def_1084,type,
    comp: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( fun(X0,X1) > fun(fun(X2,X0),fun(X2,X1)) ) ).

tff(func_def_1085,type,
    fun_upd: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * X0 * X1 ) > fun(X0,X1) ) ).

tff(func_def_1086,type,
    id: 
      !>[X0: $tType] : fun(X0,X0) ).

tff(func_def_1087,type,
    map_fun: 
      !>[X0: $tType,X1: $tType,X2: $tType,X3: $tType] : ( ( fun(X0,X1) * fun(X2,X3) ) > fun(fun(X1,X2),fun(X0,X3)) ) ).

tff(func_def_1088,type,
    the_inv_into: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,X1) * X1 ) > X0 ) ).

tff(func_def_1089,type,
    fun_max_strict: set(product_prod(set(product_prod(nat,nat)),set(product_prod(nat,nat)))) ).

tff(func_def_1090,type,
    fun_max_weak: set(product_prod(set(product_prod(nat,nat)),set(product_prod(nat,nat)))) ).

tff(func_def_1091,type,
    fun_min_strict: set(product_prod(set(product_prod(nat,nat)),set(product_prod(nat,nat)))) ).

tff(func_def_1092,type,
    fun_min_weak: set(product_prod(set(product_prod(nat,nat)),set(product_prod(nat,nat)))) ).

tff(func_def_1093,type,
    fun_pair_leq: set(product_prod(product_prod(nat,nat),product_prod(nat,nat))) ).

tff(func_def_1094,type,
    fun_pair_less: set(product_prod(product_prod(nat,nat),product_prod(nat,nat))) ).

tff(func_def_1095,type,
    gcd_Gcd: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_1096,type,
    bezw: ( nat * nat ) > product_prod(int,int) ).

tff(func_def_1097,type,
    bezw_rel: fun(product_prod(nat,nat),fun(product_prod(nat,nat),$o)) ).

tff(func_def_1098,type,
    gcd_gcd: 
      !>[X0: $tType] : fun(X0,fun(X0,X0)) ).

tff(func_def_1099,type,
    gcd_nat_rel: fun(product_prod(nat,nat),fun(product_prod(nat,nat),$o)) ).

tff(func_def_1100,type,
    semiri4206861660011772517g_char: 
      !>[X0: $tType] : ( itself(X0) > nat ) ).

tff(func_def_1101,type,
    abs_abs: 
      !>[X0: $tType] : fun(X0,X0) ).

tff(func_def_1102,type,
    minus_minus: 
      !>[X0: $tType] : fun(X0,fun(X0,X0)) ).

tff(func_def_1103,type,
    one_one: 
      !>[X0: $tType] : X0 ).

tff(func_def_1104,type,
    plus_plus: 
      !>[X0: $tType] : fun(X0,fun(X0,X0)) ).

tff(func_def_1105,type,
    sgn_sgn: 
      !>[X0: $tType] : fun(X0,X0) ).

tff(func_def_1106,type,
    times_times: 
      !>[X0: $tType] : fun(X0,fun(X0,X0)) ).

tff(func_def_1107,type,
    uminus_uminus: 
      !>[X0: $tType] : fun(X0,X0) ).

tff(func_def_1108,type,
    zero_zero: 
      !>[X0: $tType] : X0 ).

tff(func_def_1109,type,
    groups7311177749621191930dd_sum: 
      !>[X0: $tType,X1: $tType] : fun(fun(X0,X1),fun(set(X0),X1)) ).

tff(func_def_1110,type,
    groups1027152243600224163dd_sum: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * set(X0) ) > X1 ) ).

tff(func_def_1111,type,
    groups7121269368397514597t_prod: 
      !>[X0: $tType,X1: $tType] : fun(fun(X0,X1),fun(set(X0),X1)) ).

tff(func_def_1112,type,
    groups1962203154675924110t_prod: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * set(X0) ) > X1 ) ).

tff(func_def_1113,type,
    groups4207007520872428315er_sum: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * X1 * list(X0) ) > X1 ) ).

tff(func_def_1114,type,
    groups8242544230860333062m_list: 
      !>[X0: $tType] : ( list(X0) > X0 ) ).

tff(func_def_1115,type,
    the: 
      !>[X0: $tType] : ( fun(X0,$o) > X0 ) ).

tff(func_def_1116,type,
    undefined: 
      !>[X0: $tType] : X0 ).

tff(func_def_1117,type,
    abs_Integ: fun(product_prod(nat,nat),int) ).

tff(func_def_1118,type,
    rep_Integ: fun(int,product_prod(nat,nat)) ).

tff(func_def_1119,type,
    int_ge_less_than: int > set(product_prod(int,int)) ).

tff(func_def_1120,type,
    int_ge_less_than2: int > set(product_prod(int,int)) ).

tff(func_def_1121,type,
    nat2: fun(int,nat) ).

tff(func_def_1122,type,
    power_int: 
      !>[X0: $tType] : ( ( X0 * int ) > X0 ) ).

tff(func_def_1123,type,
    ring_1_Ints: 
      !>[X0: $tType] : set(X0) ).

tff(func_def_1124,type,
    ring_1_of_int: 
      !>[X0: $tType] : fun(int,X0) ).

tff(func_def_1125,type,
    inf_inf: 
      !>[X0: $tType] : fun(X0,fun(X0,X0)) ).

tff(func_def_1126,type,
    sup_sup: 
      !>[X0: $tType] : fun(X0,fun(X0,X0)) ).

tff(func_def_1127,type,
    lattices_Max: 
      !>[X0: $tType] : ( fun(X0,fun(X0,$o)) > fun(set(X0),X0) ) ).

tff(func_def_1128,type,
    lattices_Min: 
      !>[X0: $tType] : ( fun(X0,fun(X0,$o)) > fun(set(X0),X0) ) ).

tff(func_def_1129,type,
    lattic643756798349783984er_Max: 
      !>[X0: $tType] : fun(set(X0),X0) ).

tff(func_def_1130,type,
    lattic643756798350308766er_Min: 
      !>[X0: $tType] : fun(set(X0),X0) ).

tff(func_def_1131,type,
    lattic7623131987881927897min_on: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * set(X0) ) > X0 ) ).

tff(func_def_1132,type,
    lattic7752659483105999362nf_fin: 
      !>[X0: $tType] : fun(set(X0),X0) ).

tff(func_def_1133,type,
    lattic5882676163264333800up_fin: 
      !>[X0: $tType] : fun(set(X0),X0) ).

tff(func_def_1134,type,
    at_infinity: 
      !>[X0: $tType] : filter(X0) ).

tff(func_def_1135,type,
    append: 
      !>[X0: $tType] : fun(list(X0),fun(list(X0),list(X0))) ).

tff(func_def_1136,type,
    arg_min_list: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * list(X0) ) > X0 ) ).

tff(func_def_1137,type,
    bind: 
      !>[X0: $tType,X1: $tType] : ( ( list(X0) * fun(X0,list(X1)) ) > list(X1) ) ).

tff(func_def_1138,type,
    concat: 
      !>[X0: $tType] : ( list(list(X0)) > list(X0) ) ).

tff(func_def_1139,type,
    count_list: 
      !>[X0: $tType] : ( list(X0) > fun(X0,nat) ) ).

tff(func_def_1140,type,
    drop: 
      !>[X0: $tType] : ( ( nat * list(X0) ) > list(X0) ) ).

tff(func_def_1141,type,
    dropWhile: 
      !>[X0: $tType] : ( ( fun(X0,$o) * list(X0) ) > list(X0) ) ).

tff(func_def_1142,type,
    enumerate: 
      !>[X0: $tType] : ( ( nat * list(X0) ) > list(product_prod(nat,X0)) ) ).

tff(func_def_1143,type,
    extract: 
      !>[X0: $tType] : ( ( fun(X0,$o) * list(X0) ) > option(product_prod(list(X0),product_prod(X0,list(X0)))) ) ).

tff(func_def_1144,type,
    filter2: 
      !>[X0: $tType] : ( fun(X0,$o) > fun(list(X0),list(X0)) ) ).

tff(func_def_1145,type,
    find: 
      !>[X0: $tType] : ( ( fun(X0,$o) * list(X0) ) > option(X0) ) ).

tff(func_def_1146,type,
    foldl: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,fun(X1,X0)) * X0 * list(X1) ) > X0 ) ).

tff(func_def_1147,type,
    foldr: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,fun(X1,X1)) * list(X0) ) > fun(X1,X1) ) ).

tff(func_def_1148,type,
    gen_length: 
      !>[X0: $tType] : ( nat > fun(list(X0),nat) ) ).

tff(func_def_1149,type,
    lenlex: 
      !>[X0: $tType] : ( set(product_prod(X0,X0)) > set(product_prod(list(X0),list(X0))) ) ).

tff(func_def_1150,type,
    lex: 
      !>[X0: $tType] : ( set(product_prod(X0,X0)) > set(product_prod(list(X0),list(X0))) ) ).

tff(func_def_1151,type,
    lexn: 
      !>[X0: $tType] : ( set(product_prod(X0,X0)) > fun(nat,set(product_prod(list(X0),list(X0)))) ) ).

tff(func_def_1152,type,
    lexord: 
      !>[X0: $tType] : ( set(product_prod(X0,X0)) > set(product_prod(list(X0),list(X0))) ) ).

tff(func_def_1153,type,
    insort_key: 
      !>[X0: $tType,X1: $tType] : ( fun(X0,fun(X0,$o)) > fun(fun(X1,X0),fun(X1,fun(list(X1),list(X1)))) ) ).

tff(func_def_1154,type,
    sorted8670434370408473282of_set: 
      !>[X0: $tType,X1: $tType] : ( fun(X0,fun(X0,$o)) > fun(fun(X1,X0),fun(set(X1),list(X1))) ) ).

tff(func_def_1155,type,
    linorder_insort_key: 
      !>[X0: $tType,X1: $tType] : ( fun(X0,X1) > fun(X0,fun(list(X0),list(X0))) ) ).

tff(func_def_1156,type,
    linord144544945434240204of_set: 
      !>[X0: $tType,X1: $tType] : ( fun(X0,X1) > fun(set(X0),list(X0)) ) ).

tff(func_def_1157,type,
    linord4507533701916653071of_set: 
      !>[X0: $tType] : fun(set(X0),list(X0)) ).

tff(func_def_1158,type,
    cons: 
      !>[X0: $tType] : ( X0 > fun(list(X0),list(X0)) ) ).

tff(func_def_1159,type,
    nil: 
      !>[X0: $tType] : list(X0) ).

tff(func_def_1160,type,
    case_list: 
      !>[X0: $tType,X1: $tType] : ( ( X0 * fun(X1,fun(list(X1),X0)) ) > fun(list(X1),X0) ) ).

tff(func_def_1161,type,
    hd: 
      !>[X0: $tType] : fun(list(X0),X0) ).

tff(func_def_1162,type,
    map: 
      !>[X0: $tType,X1: $tType] : ( fun(X0,X1) > fun(list(X0),list(X1)) ) ).

tff(func_def_1163,type,
    set2: 
      !>[X0: $tType] : fun(list(X0),set(X0)) ).

tff(func_def_1164,type,
    size_list: 
      !>[X0: $tType] : ( fun(X0,nat) > fun(list(X0),nat) ) ).

tff(func_def_1165,type,
    tl: 
      !>[X0: $tType] : fun(list(X0),list(X0)) ).

tff(func_def_1166,type,
    list_update: 
      !>[X0: $tType] : ( ( list(X0) * nat * X0 ) > list(X0) ) ).

tff(func_def_1167,type,
    listrel: 
      !>[X0: $tType,X1: $tType] : ( set(product_prod(X0,X1)) > set(product_prod(list(X0),list(X1))) ) ).

tff(func_def_1168,type,
    listrel1: 
      !>[X0: $tType] : ( set(product_prod(X0,X0)) > set(product_prod(list(X0),list(X0))) ) ).

tff(func_def_1169,type,
    listrelp: 
      !>[X0: $tType,X1: $tType] : ( fun(X0,fun(X1,$o)) > fun(list(X0),fun(list(X1),$o)) ) ).

tff(func_def_1170,type,
    listset: 
      !>[X0: $tType] : ( list(set(X0)) > set(list(X0)) ) ).

tff(func_def_1171,type,
    map_filter: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,option(X1)) * list(X0) ) > list(X1) ) ).

tff(func_def_1172,type,
    map_project: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,option(X1)) * set(X0) ) > set(X1) ) ).

tff(func_def_1173,type,
    min_list: 
      !>[X0: $tType] : ( list(X0) > X0 ) ).

tff(func_def_1174,type,
    min_list_rel: 
      !>[X0: $tType] : fun(list(X0),fun(list(X0),$o)) ).

tff(func_def_1175,type,
    n_lists: 
      !>[X0: $tType] : ( ( nat * list(X0) ) > list(list(X0)) ) ).

tff(func_def_1176,type,
    nth: 
      !>[X0: $tType] : ( list(X0) > fun(nat,X0) ) ).

tff(func_def_1177,type,
    nths: 
      !>[X0: $tType] : ( ( list(X0) * set(nat) ) > list(X0) ) ).

tff(func_def_1178,type,
    partition: 
      !>[X0: $tType] : ( fun(X0,$o) > fun(list(X0),product_prod(list(X0),list(X0))) ) ).

tff(func_def_1179,type,
    product: 
      !>[X0: $tType,X1: $tType] : ( ( list(X0) * list(X1) ) > list(product_prod(X0,X1)) ) ).

tff(func_def_1180,type,
    product_lists: 
      !>[X0: $tType] : ( list(list(X0)) > list(list(X0)) ) ).

tff(func_def_1181,type,
    remdups: 
      !>[X0: $tType] : ( list(X0) > list(X0) ) ).

tff(func_def_1182,type,
    remdups_adj: 
      !>[X0: $tType] : ( list(X0) > list(X0) ) ).

tff(func_def_1183,type,
    remdups_adj_rel: 
      !>[X0: $tType] : fun(list(X0),fun(list(X0),$o)) ).

tff(func_def_1184,type,
    remove1: 
      !>[X0: $tType] : ( ( X0 * list(X0) ) > list(X0) ) ).

tff(func_def_1185,type,
    removeAll: 
      !>[X0: $tType] : ( X0 > fun(list(X0),list(X0)) ) ).

tff(func_def_1186,type,
    replicate: 
      !>[X0: $tType] : ( ( nat * X0 ) > list(X0) ) ).

tff(func_def_1187,type,
    rev: 
      !>[X0: $tType] : fun(list(X0),list(X0)) ).

tff(func_def_1188,type,
    rotate: 
      !>[X0: $tType] : ( nat > fun(list(X0),list(X0)) ) ).

tff(func_def_1189,type,
    rotate1: 
      !>[X0: $tType] : fun(list(X0),list(X0)) ).

tff(func_def_1190,type,
    set_Cons: 
      !>[X0: $tType] : ( ( set(X0) * set(list(X0)) ) > set(list(X0)) ) ).

tff(func_def_1191,type,
    shuffles: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) ) > set(list(X0)) ) ).

tff(func_def_1192,type,
    subseqs: 
      !>[X0: $tType] : ( list(X0) > list(list(X0)) ) ).

tff(func_def_1193,type,
    take: 
      !>[X0: $tType] : ( ( nat * list(X0) ) > list(X0) ) ).

tff(func_def_1194,type,
    takeWhile: 
      !>[X0: $tType] : ( ( fun(X0,$o) * list(X0) ) > list(X0) ) ).

tff(func_def_1195,type,
    transpose: 
      !>[X0: $tType] : ( list(list(X0)) > list(list(X0)) ) ).

tff(func_def_1196,type,
    transpose_rel: 
      !>[X0: $tType] : fun(list(list(X0)),fun(list(list(X0)),$o)) ).

tff(func_def_1197,type,
    union: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) ) > list(X0) ) ).

tff(func_def_1198,type,
    upt: ( nat * nat ) > list(nat) ).

tff(func_def_1199,type,
    upto: ( int * int ) > list(int) ).

tff(func_def_1200,type,
    upto_aux: ( int * int * list(int) ) > list(int) ).

tff(func_def_1201,type,
    upto_rel: fun(product_prod(int,int),fun(product_prod(int,int),$o)) ).

tff(func_def_1202,type,
    zip: 
      !>[X0: $tType,X1: $tType] : ( ( list(X0) * list(X1) ) > list(product_prod(X0,X1)) ) ).

tff(func_def_1203,type,
    dom: 
      !>[X0: $tType,X1: $tType] : ( fun(X0,option(X1)) > set(X0) ) ).

tff(func_def_1204,type,
    graph: 
      !>[X0: $tType,X1: $tType] : ( fun(X0,option(X1)) > set(product_prod(X0,X1)) ) ).

tff(func_def_1205,type,
    map_of: 
      !>[X0: $tType,X1: $tType] : ( list(product_prod(X0,X1)) > fun(X0,option(X1)) ) ).

tff(func_def_1206,type,
    map_upds: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,option(X1)) * list(X0) * list(X1) ) > fun(X0,option(X1)) ) ).

tff(func_def_1207,type,
    ran: 
      !>[X0: $tType,X1: $tType] : ( fun(X0,option(X1)) > set(X1) ) ).

tff(func_def_1208,type,
    restrict_map: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,option(X1)) * set(X0) ) > fun(X0,option(X1)) ) ).

tff(func_def_1209,type,
    suc: fun(nat,nat) ).

tff(func_def_1210,type,
    compow: 
      !>[X0: $tType] : fun(nat,fun(X0,X0)) ).

tff(func_def_1211,type,
    funpow: 
      !>[X0: $tType] : fun(nat,fun(fun(X0,X0),fun(X0,X0))) ).

tff(func_def_1212,type,
    case_nat: 
      !>[X0: $tType] : ( ( X0 * fun(nat,X0) * nat ) > X0 ) ).

tff(func_def_1213,type,
    pred: nat > nat ).

tff(func_def_1214,type,
    rec_nat: 
      !>[X0: $tType] : ( ( X0 * fun(nat,fun(X0,X0)) ) > fun(nat,X0) ) ).

tff(func_def_1215,type,
    rec_set_nat: 
      !>[X0: $tType] : ( ( X0 * fun(nat,fun(X0,X0)) * nat ) > fun(X0,$o) ) ).

tff(func_def_1216,type,
    semiring_1_Nats: 
      !>[X0: $tType] : set(X0) ).

tff(func_def_1217,type,
    semiring_1_of_nat: 
      !>[X0: $tType] : fun(nat,X0) ).

tff(func_def_1218,type,
    semiri8178284476397505188at_aux: 
      !>[X0: $tType] : ( ( fun(X0,X0) * nat * X0 ) > X0 ) ).

tff(func_def_1219,type,
    size_size: 
      !>[X0: $tType] : fun(X0,nat) ).

tff(func_def_1220,type,
    nat_list_encode: list(nat) > nat ).

tff(func_def_1221,type,
    nat_list_encode_rel: fun(list(nat),fun(list(nat),$o)) ).

tff(func_def_1222,type,
    nat_prod_decode_aux: ( nat * nat ) > product_prod(nat,nat) ).

tff(func_def_1223,type,
    nat_pr5047031295181774490ux_rel: fun(product_prod(nat,nat),fun(product_prod(nat,nat),$o)) ).

tff(func_def_1224,type,
    nat_prod_encode: fun(product_prod(nat,nat),nat) ).

tff(func_def_1225,type,
    nat_set_decode: nat > set(nat) ).

tff(func_def_1226,type,
    nat_set_encode: fun(set(nat),nat) ).

tff(func_def_1227,type,
    nat_triangle: nat > nat ).

tff(func_def_1228,type,
    root: nat > fun(real,real) ).

tff(func_def_1229,type,
    sqrt: fun(real,real) ).

tff(func_def_1230,type,
    bitM: num > num ).

tff(func_def_1231,type,
    inc: num > num ).

tff(func_def_1232,type,
    neg_numeral_dbl_dec: 
      !>[X0: $tType] : ( X0 > X0 ) ).

tff(func_def_1233,type,
    neg_numeral_sub: 
      !>[X0: $tType] : ( ( num * num ) > X0 ) ).

tff(func_def_1234,type,
    bit0: fun(num,num) ).

tff(func_def_1235,type,
    bit1: fun(num,num) ).

tff(func_def_1236,type,
    one2: num ).

tff(func_def_1237,type,
    case_num: 
      !>[X0: $tType] : ( ( X0 * fun(num,X0) * fun(num,X0) * num ) > X0 ) ).

tff(func_def_1238,type,
    size_num: num > nat ).

tff(func_def_1239,type,
    num_of_nat: nat > num ).

tff(func_def_1240,type,
    numeral_numeral: 
      !>[X0: $tType] : fun(num,X0) ).

tff(func_def_1241,type,
    pow: ( num * num ) > num ).

tff(func_def_1242,type,
    pred_numeral: num > nat ).

tff(func_def_1243,type,
    none: 
      !>[X0: $tType] : option(X0) ).

tff(func_def_1244,type,
    some: 
      !>[X0: $tType] : fun(X0,option(X0)) ).

tff(func_def_1245,type,
    case_option: 
      !>[X0: $tType,X1: $tType] : ( ( X0 * fun(X1,X0) * option(X1) ) > X0 ) ).

tff(func_def_1246,type,
    map_option: 
      !>[X0: $tType,X1: $tType] : ( fun(X0,X1) > fun(option(X0),option(X1)) ) ).

tff(func_def_1247,type,
    rec_option: 
      !>[X0: $tType,X1: $tType] : ( ( X0 * fun(X1,X0) ) > fun(option(X1),X0) ) ).

tff(func_def_1248,type,
    size_option: 
      !>[X0: $tType] : ( fun(X0,nat) > fun(option(X0),nat) ) ).

tff(func_def_1249,type,
    the2: 
      !>[X0: $tType] : fun(option(X0),X0) ).

tff(func_def_1250,type,
    these: 
      !>[X0: $tType] : ( set(option(X0)) > set(X0) ) ).

tff(func_def_1251,type,
    order_532582986084564980_cclfp: 
      !>[X0: $tType] : ( fun(X0,X0) > X0 ) ).

tff(func_def_1252,type,
    order_Above: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * set(X0) ) > set(X0) ) ).

tff(func_def_1253,type,
    order_Under: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * set(X0) ) > set(X0) ) ).

tff(func_def_1254,type,
    order_UnderS: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * set(X0) ) > set(X0) ) ).

tff(func_def_1255,type,
    order_aboveS: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * X0 ) > set(X0) ) ).

tff(func_def_1256,type,
    order_under: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * X0 ) > set(X0) ) ).

tff(func_def_1257,type,
    order_underS: 
      !>[X0: $tType] : ( ( set(product_prod(X0,X0)) * X0 ) > set(X0) ) ).

tff(func_def_1258,type,
    bot_bot: 
      !>[X0: $tType] : X0 ).

tff(func_def_1259,type,
    least: 
      !>[X0: $tType] : ( fun(X0,fun(X0,$o)) > fun(fun(X0,$o),X0) ) ).

tff(func_def_1260,type,
    max: 
      !>[X0: $tType] : ( fun(X0,fun(X0,$o)) > fun(X0,fun(X0,X0)) ) ).

tff(func_def_1261,type,
    min: 
      !>[X0: $tType] : ( fun(X0,fun(X0,$o)) > fun(X0,fun(X0,X0)) ) ).

tff(func_def_1262,type,
    ord_less: 
      !>[X0: $tType] : fun(X0,fun(X0,$o)) ).

tff(func_def_1263,type,
    ord_less_eq: 
      !>[X0: $tType] : fun(X0,fun(X0,$o)) ).

tff(func_def_1264,type,
    ord_max: 
      !>[X0: $tType] : fun(X0,fun(X0,X0)) ).

tff(func_def_1265,type,
    ord_min: 
      !>[X0: $tType] : fun(X0,fun(X0,X0)) ).

tff(func_def_1266,type,
    order_Greatest: 
      !>[X0: $tType] : ( fun(X0,$o) > X0 ) ).

tff(func_def_1267,type,
    top_top: 
      !>[X0: $tType] : X0 ).

tff(func_def_1268,type,
    partial_flat_lub: 
      !>[X0: $tType] : ( ( X0 * set(X0) ) > X0 ) ).

tff(func_def_1269,type,
    power_power: 
      !>[X0: $tType] : fun(X0,fun(nat,X0)) ).

tff(func_def_1270,type,
    product_Pair: 
      !>[X0: $tType,X1: $tType] : fun(X0,fun(X1,product_prod(X0,X1))) ).

tff(func_def_1271,type,
    product_Sigma: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,set(X1)) ) > set(product_prod(X0,X1)) ) ).

tff(func_def_1272,type,
    product_apfst: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( fun(X0,X1) > fun(product_prod(X0,X2),product_prod(X1,X2)) ) ).

tff(func_def_1273,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_1274,type,
    product_rec_prod: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( fun(X0,fun(X1,X2)) * product_prod(X0,X1) ) > X2 ) ).

tff(func_def_1275,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_1276,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_1277,type,
    product_fst: 
      !>[X0: $tType,X1: $tType] : fun(product_prod(X0,X1),X0) ).

tff(func_def_1278,type,
    product_snd: 
      !>[X0: $tType,X1: $tType] : fun(product_prod(X0,X1),X1) ).

tff(func_def_1279,type,
    product_product: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * set(X1) ) > set(product_prod(X0,X1)) ) ).

tff(func_def_1280,type,
    fract: ( int * int ) > rat ).

tff(func_def_1281,type,
    frct: product_prod(int,int) > rat ).

tff(func_def_1282,type,
    rep_Rat: fun(rat,product_prod(int,int)) ).

tff(func_def_1283,type,
    field_char_0_Rats: 
      !>[X0: $tType] : set(X0) ).

tff(func_def_1284,type,
    normalize: product_prod(int,int) > product_prod(int,int) ).

tff(func_def_1285,type,
    of_int: int > rat ).

tff(func_def_1286,type,
    positive: fun(rat,$o) ).

tff(func_def_1287,type,
    quotient_of: rat > product_prod(int,int) ).

tff(func_def_1288,type,
    real_V557655796197034286t_dist: 
      !>[X0: $tType] : ( ( X0 * X0 ) > real ) ).

tff(func_def_1289,type,
    real_V7770717601297561774m_norm: 
      !>[X0: $tType] : ( X0 > real ) ).

tff(func_def_1290,type,
    real_Vector_of_real: 
      !>[X0: $tType] : ( real > X0 ) ).

tff(func_def_1291,type,
    real_V8093663219630862766scaleR: 
      !>[X0: $tType] : ( real > fun(X0,X0) ) ).

tff(func_def_1292,type,
    field2: 
      !>[X0: $tType] : ( set(product_prod(X0,X0)) > set(X0) ) ).

tff(func_def_1293,type,
    id2: 
      !>[X0: $tType] : set(product_prod(X0,X0)) ).

tff(func_def_1294,type,
    id_on: 
      !>[X0: $tType] : ( set(X0) > set(product_prod(X0,X0)) ) ).

tff(func_def_1295,type,
    relcomp: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( set(product_prod(X0,X1)) * set(product_prod(X1,X2)) ) > set(product_prod(X0,X2)) ) ).

tff(func_def_1296,type,
    divide_divide: 
      !>[X0: $tType] : ( ( X0 * X0 ) > X0 ) ).

tff(func_def_1297,type,
    dvd_dvd: 
      !>[X0: $tType] : fun(X0,fun(X0,$o)) ).

tff(func_def_1298,type,
    modulo_modulo: 
      !>[X0: $tType] : ( ( X0 * X0 ) > X0 ) ).

tff(func_def_1299,type,
    zero_neq_one_of_bool: 
      !>[X0: $tType] : fun($o,X0) ).

tff(func_def_1300,type,
    suminf: 
      !>[X0: $tType] : ( fun(nat,X0) > X0 ) ).

tff(func_def_1301,type,
    collect: 
      !>[X0: $tType] : fun(fun(X0,$o),set(X0)) ).

tff(func_def_1302,type,
    pow2: 
      !>[X0: $tType] : ( set(X0) > set(set(X0)) ) ).

tff(func_def_1303,type,
    filter3: 
      !>[X0: $tType] : ( ( fun(X0,$o) * set(X0) ) > set(X0) ) ).

tff(func_def_1304,type,
    image: 
      !>[X0: $tType,X1: $tType] : ( fun(X0,X1) > fun(set(X0),set(X1)) ) ).

tff(func_def_1305,type,
    insert: 
      !>[X0: $tType] : fun(X0,fun(set(X0),set(X0))) ).

tff(func_def_1306,type,
    remove: 
      !>[X0: $tType] : fun(X0,fun(set(X0),set(X0))) ).

tff(func_def_1307,type,
    the_elem: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

tff(func_def_1308,type,
    vimage: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * set(X1) ) > set(X0) ) ).

tff(func_def_1309,type,
    set_fo6178422350223883121st_nat: 
      !>[X0: $tType] : ( ( fun(nat,fun(X0,X0)) * nat * nat * X0 ) > X0 ) ).

tff(func_def_1310,type,
    set_ord_atLeast: 
      !>[X0: $tType] : ( X0 > set(X0) ) ).

tff(func_def_1311,type,
    set_or1337092689740270186AtMost: 
      !>[X0: $tType] : ( ( X0 * X0 ) > set(X0) ) ).

tff(func_def_1312,type,
    set_or7035219750837199246ssThan: 
      !>[X0: $tType] : ( ( X0 * X0 ) > set(X0) ) ).

tff(func_def_1313,type,
    set_ord_atMost: 
      !>[X0: $tType] : ( X0 > set(X0) ) ).

tff(func_def_1314,type,
    set_ord_greaterThan: 
      !>[X0: $tType] : fun(X0,set(X0)) ).

tff(func_def_1315,type,
    set_or3652927894154168847AtMost: 
      !>[X0: $tType] : ( ( X0 * X0 ) > set(X0) ) ).

tff(func_def_1316,type,
    set_or5935395276787703475ssThan: 
      !>[X0: $tType] : ( ( X0 * X0 ) > set(X0) ) ).

tff(func_def_1317,type,
    set_ord_lessThan: 
      !>[X0: $tType] : ( X0 > set(X0) ) ).

tff(func_def_1318,type,
    topolo3827282254853284352ce_Lim: 
      !>[X0: $tType,X1: $tType] : ( ( filter(X0) * fun(X0,X1) ) > X1 ) ).

tff(func_def_1319,type,
    topolo174197925503356063within: 
      !>[X0: $tType] : ( ( X0 * set(X0) ) > filter(X0) ) ).

tff(func_def_1320,type,
    topolo7230453075368039082e_nhds: 
      !>[X0: $tType] : ( X0 > filter(X0) ) ).

tff(func_def_1321,type,
    topolo7806501430040627800ormity: 
      !>[X0: $tType] : filter(product_prod(X0,X0)) ).

tff(func_def_1322,type,
    arccos: fun(real,real) ).

tff(func_def_1323,type,
    arcosh: 
      !>[X0: $tType] : fun(X0,X0) ).

tff(func_def_1324,type,
    arcsin: fun(real,real) ).

tff(func_def_1325,type,
    arctan: real > real ).

tff(func_def_1326,type,
    arsinh: 
      !>[X0: $tType] : ( X0 > X0 ) ).

tff(func_def_1327,type,
    artanh: 
      !>[X0: $tType] : fun(X0,X0) ).

tff(func_def_1328,type,
    cos: 
      !>[X0: $tType] : ( X0 > X0 ) ).

tff(func_def_1329,type,
    cos_coeff: nat > real ).

tff(func_def_1330,type,
    cosh: 
      !>[X0: $tType] : ( X0 > X0 ) ).

tff(func_def_1331,type,
    cot: 
      !>[X0: $tType] : fun(X0,X0) ).

tff(func_def_1332,type,
    diffs: 
      !>[X0: $tType] : ( fun(nat,X0) > fun(nat,X0) ) ).

tff(func_def_1333,type,
    exp: 
      !>[X0: $tType] : ( X0 > X0 ) ).

tff(func_def_1334,type,
    ln_ln: 
      !>[X0: $tType] : fun(X0,X0) ).

tff(func_def_1335,type,
    log: real > fun(real,real) ).

tff(func_def_1336,type,
    pi: real ).

tff(func_def_1337,type,
    powr: 
      !>[X0: $tType] : ( ( X0 * X0 ) > X0 ) ).

tff(func_def_1338,type,
    sin: 
      !>[X0: $tType] : ( X0 > X0 ) ).

tff(func_def_1339,type,
    sin_coeff: nat > real ).

tff(func_def_1340,type,
    sinh: 
      !>[X0: $tType] : ( X0 > X0 ) ).

tff(func_def_1341,type,
    tan: 
      !>[X0: $tType] : fun(X0,X0) ).

tff(func_def_1342,type,
    tanh: 
      !>[X0: $tType] : fun(X0,X0) ).

tff(func_def_1343,type,
    transitive_ntrancl: 
      !>[X0: $tType] : ( ( nat * set(product_prod(X0,X0)) ) > set(product_prod(X0,X0)) ) ).

tff(func_def_1344,type,
    transitive_rtrancl: 
      !>[X0: $tType] : ( set(product_prod(X0,X0)) > set(product_prod(X0,X0)) ) ).

tff(func_def_1345,type,
    transitive_trancl: 
      !>[X0: $tType] : ( set(product_prod(X0,X0)) > set(product_prod(X0,X0)) ) ).

tff(func_def_1346,type,
    vEBT_Leaf: ( $o * $o ) > vEBT_VEBT ).

tff(func_def_1347,type,
    vEBT_Node: ( option(product_prod(nat,nat)) * nat * list(vEBT_VEBT) * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_1348,type,
    vEBT_size_VEBT: fun(vEBT_VEBT,nat) ).

tff(func_def_1349,type,
    vEBT_V8194947554948674370ptions: vEBT_VEBT > fun(nat,$o) ).

tff(func_def_1350,type,
    vEBT_VEBT_high: ( nat * nat ) > nat ).

tff(func_def_1351,type,
    vEBT_VEBT_low: ( nat * nat ) > nat ).

tff(func_def_1352,type,
    vEBT_V4351362008482014158ma_rel: fun(product_prod(vEBT_VEBT,nat),fun(product_prod(vEBT_VEBT,nat),$o)) ).

tff(func_def_1353,type,
    vEBT_V5765760719290551771er_rel: fun(product_prod(vEBT_VEBT,nat),fun(product_prod(vEBT_VEBT,nat),$o)) ).

tff(func_def_1354,type,
    vEBT_VEBT_valid_rel: fun(product_prod(vEBT_VEBT,nat),fun(product_prod(vEBT_VEBT,nat),$o)) ).

tff(func_def_1355,type,
    vEBT_set_vebt: vEBT_VEBT > set(nat) ).

tff(func_def_1356,type,
    vEBT_vebt_buildup: nat > vEBT_VEBT ).

tff(func_def_1357,type,
    vEBT_v4011308405150292612up_rel: fun(nat,fun(nat,$o)) ).

tff(func_def_1358,type,
    vEBT_VEBT_bit_concat: ( nat * nat * nat ) > nat ).

tff(func_def_1359,type,
    vEBT_V6963167321098673237ll_rel: fun(vEBT_VEBT,fun(vEBT_VEBT,$o)) ).

tff(func_def_1360,type,
    vEBT_VEBT_set_vebt: vEBT_VEBT > set(nat) ).

tff(func_def_1361,type,
    vEBT_vebt_member: vEBT_VEBT > fun(nat,$o) ).

tff(func_def_1362,type,
    vEBT_vebt_member_rel: fun(product_prod(vEBT_VEBT,nat),fun(product_prod(vEBT_VEBT,nat),$o)) ).

tff(func_def_1363,type,
    vEBT_VEBT_add: fun(option(nat),fun(option(nat),option(nat))) ).

tff(func_def_1364,type,
    vEBT_VEBT_mul: fun(option(nat),fun(option(nat),option(nat))) ).

tff(func_def_1365,type,
    vEBT_V2048590022279873568_shift: 
      !>[X0: $tType] : ( fun(X0,fun(X0,X0)) > fun(option(X0),fun(option(X0),option(X0))) ) ).

tff(func_def_1366,type,
    vEBT_VEBT_power: fun(option(nat),fun(option(nat),option(nat))) ).

tff(func_def_1367,type,
    vEBT_vebt_maxt: vEBT_VEBT > option(nat) ).

tff(func_def_1368,type,
    vEBT_vebt_maxt_rel: fun(vEBT_VEBT,fun(vEBT_VEBT,$o)) ).

tff(func_def_1369,type,
    vEBT_vebt_mint: vEBT_VEBT > option(nat) ).

tff(func_def_1370,type,
    vEBT_vebt_mint_rel: fun(vEBT_VEBT,fun(vEBT_VEBT,$o)) ).

tff(func_def_1371,type,
    finite_psubset: 
      !>[X0: $tType] : set(product_prod(set(X0),set(X0))) ).

tff(func_def_1372,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_1373,type,
    max_ext: 
      !>[X0: $tType] : ( set(product_prod(X0,X0)) > set(product_prod(set(X0),set(X0))) ) ).

tff(func_def_1374,type,
    max_extp: 
      !>[X0: $tType] : ( fun(X0,fun(X0,$o)) > fun(set(X0),fun(set(X0),$o)) ) ).

tff(func_def_1375,type,
    measure: 
      !>[X0: $tType] : ( fun(X0,nat) > set(product_prod(X0,X0)) ) ).

tff(func_def_1376,type,
    min_ext: 
      !>[X0: $tType] : ( set(product_prod(X0,X0)) > set(product_prod(set(X0),set(X0))) ) ).

tff(func_def_1377,type,
    mlex_prod: 
      !>[X0: $tType] : ( ( fun(X0,nat) * set(product_prod(X0,X0)) ) > set(product_prod(X0,X0)) ) ).

tff(func_def_1378,type,
    pred_nat: set(product_prod(nat,nat)) ).

tff(func_def_1379,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_1380,type,
    chains: 
      !>[X0: $tType] : ( set(set(X0)) > set(set(set(X0))) ) ).

tff(func_def_1381,type,
    aa: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * X0 ) > X1 ) ).

tff(func_def_1382,type,
    fChoice: 
      !>[X0: $tType] : ( fun(X0,$o) > X0 ) ).

tff(func_def_1383,type,
    fNot: fun($o,$o) ).

tff(func_def_1384,type,
    fequal: 
      !>[X0: $tType] : fun(X0,fun(X0,$o)) ).

tff(func_def_1385,type,
    deg: nat ).

tff(func_def_1386,type,
    m: nat ).

tff(func_def_1387,type,
    ma: nat ).

tff(func_def_1388,type,
    maxs: nat ).

tff(func_def_1389,type,
    mi: nat ).

tff(func_def_1390,type,
    n: nat ).

tff(func_def_1391,type,
    summary: vEBT_VEBT ).

tff(func_def_1392,type,
    treeList: list(vEBT_VEBT) ).

tff(func_def_1393,type,
    h0: nat ).

tff(func_def_1394,type,
    m21: 
      !>[X0: $tType] : X0 ).

tff(func_def_1395,type,
    m22: 
      !>[X0: $tType] : X0 ).

tff(func_def_1396,type,
    half3: nat ).

tff(func_def_1397,type,
    half4: nat ).

tff(func_def_1398,type,
    half5: nat ).

tff(func_def_1399,type,
    half6: nat ).

tff(func_def_1400,type,
    pos7: nat ).

tff(func_def_1401,type,
    pos8: nat ).

tff(func_def_1402,type,
    h9: nat ).

tff(func_def_1403,type,
    pos10: nat ).

tff(func_def_1404,type,
    pos11: nat ).

tff(func_def_1405,type,
    pos12: nat ).

tff(func_def_1406,type,
    pos13: nat ).

tff(func_def_1407,type,
    pos14: nat ).

tff(func_def_1408,type,
    pos15: nat ).

tff(func_def_1409,type,
    h16: nat ).

tff(func_def_1410,type,
    pos17: nat ).

tff(func_def_1411,type,
    pos18: nat ).

tff(func_def_1412,type,
    pos19: nat ).

tff(func_def_1413,type,
    pos20: nat ).

tff(func_def_1414,type,
    h21: nat ).

tff(func_def_1415,type,
    l22: 
      !>[X0: $tType] : X0 ).

tff(func_def_1416,type,
    h23: nat ).

tff(func_def_1417,type,
    h24: nat ).

tff(func_def_1418,type,
    h25: nat ).

tff(func_def_1419,type,
    pos26: nat ).

tff(func_def_1420,type,
    pos27: nat ).

tff(func_def_1421,type,
    pos28: nat ).

tff(func_def_1422,type,
    pos29: nat ).

tff(func_def_1423,type,
    pos30: nat ).

tff(func_def_1424,type,
    pos31: nat ).

tff(func_def_1425,type,
    pos32: nat ).

tff(func_def_1426,type,
    pos33: nat ).

tff(func_def_1427,type,
    pos34: nat ).

tff(func_def_1428,type,
    half35: nat ).

tff(func_def_1429,type,
    half36: nat ).

tff(func_def_1430,type,
    d37: int ).

tff(func_def_1431,type,
    l38: code_integer ).

tff(func_def_1432,type,
    pv39: nat ).

tff(func_def_1433,type,
    l40: 
      !>[X0: $tType] : X0 ).

tff(func_def_1434,type,
    a241: int ).

tff(func_def_1435,type,
    a242: int ).

tff(func_def_1436,type,
    n243: nat ).

tff(func_def_1437,type,
    m244: nat ).

tff(func_def_1438,type,
    n245: nat ).

tff(func_def_1439,type,
    m246: nat ).

tff(func_def_1440,type,
    n247: nat ).

tff(func_def_1441,type,
    m248: nat ).

tff(func_def_1442,type,
    n249: nat ).

tff(func_def_1443,type,
    m250: nat ).

tff(func_def_1444,type,
    n251: nat ).

tff(func_def_1445,type,
    m252: nat ).

tff(func_def_1446,type,
    n253: nat ).

tff(func_def_1447,type,
    m254: nat ).

tff(func_def_1448,type,
    n255: nat ).

tff(func_def_1449,type,
    m256: nat ).

tff(func_def_1450,type,
    m257: 
      !>[X0: $tType] : X0 ).

tff(func_def_1451,type,
    a358: 
      !>[X0: $tType] : set(set(X0)) ).

tff(func_def_1452,type,
    xss59: 
      !>[X0: $tType] : list(list(X0)) ).

tff(func_def_1453,type,
    m260: 
      !>[X0: $tType] : X0 ).

tff(func_def_1454,type,
    l261: int ).

tff(func_def_1455,type,
    m362: a ).

tff(func_def_1456,type,
    l263: nat ).

tff(func_def_1457,type,
    l364: nat ).

tff(func_def_1460,type,
    iG65: 
      !>[X0: $tType] : ( ( nat * nat * list(X0) * X0 ) > X0 ) ).

tff(func_def_1461,type,
    bG66: $o > $o ).

tff(func_def_1462,type,
    bG67: $o > $o ).

tff(func_def_1463,type,
    bG68: $o > $o ).

tff(func_def_1464,type,
    bG69: $o > $o ).

tff(func_def_1465,type,
    bG70: $o > $o ).

tff(func_def_1466,type,
    bG71: $o > $o ).

tff(func_def_1467,type,
    bG72: $o > $o ).

tff(func_def_1468,type,
    bG73: $o > $o ).

tff(func_def_1469,type,
    bG74: $o > $o ).

tff(func_def_1470,type,
    bG75: $o > $o ).

tff(func_def_1471,type,
    bG76: $o > $o ).

tff(func_def_1472,type,
    bG77: $o > $o ).

tff(func_def_1473,type,
    bG78: $o > $o ).

tff(func_def_1474,type,
    bG79: $o > $o ).

tff(func_def_1475,type,
    bG80: $o > $o ).

tff(func_def_1476,type,
    bG81: $o > $o ).

tff(func_def_1477,type,
    bG82: $o > $o ).

tff(func_def_1478,type,
    bG83: $o > $o ).

tff(func_def_1479,type,
    bG84: $o > $o ).

tff(func_def_1480,type,
    bG85: $o > $o ).

tff(func_def_1481,type,
    bG86: $o > $o ).

tff(func_def_1482,type,
    bG87: $o > $o ).

tff(func_def_1483,type,
    bG88: $o > $o ).

tff(func_def_1484,type,
    bG89: $o > $o ).

tff(func_def_1485,type,
    bG90: $o > $o ).

tff(func_def_1486,type,
    bG91: $o > $o ).

tff(func_def_1487,type,
    bG92: $o > $o ).

tff(func_def_1488,type,
    bG93: $o > $o ).

tff(func_def_1489,type,
    bG94: $o > $o ).

tff(func_def_1490,type,
    bG95: $o > $o ).

tff(func_def_1491,type,
    bG96: $o > $o ).

tff(func_def_1492,type,
    bG97: $o > $o ).

tff(func_def_1493,type,
    bG98: $o > $o ).

tff(func_def_1494,type,
    bG99: $o > $o ).

tff(func_def_1495,type,
    bG100: $o > $o ).

tff(func_def_1496,type,
    bG101: $o > $o ).

tff(func_def_1497,type,
    bG102: $o > $o ).

tff(func_def_1498,type,
    bG103: $o > $o ).

tff(func_def_1499,type,
    bG104: $o > $o ).

tff(func_def_1500,type,
    bG105: $o > $o ).

tff(func_def_1501,type,
    bG106: $o > $o ).

tff(func_def_1502,type,
    bG107: $o > $o ).

tff(func_def_1503,type,
    bG108: $o > $o ).

tff(func_def_1504,type,
    bG109: $o > $o ).

tff(func_def_1505,type,
    iG110: 
      !>[X0: $tType] : ( X0 > X0 ) ).

tff(func_def_1506,type,
    bG111: $o > $o ).

tff(func_def_1507,type,
    bG112: $o > $o ).

tff(func_def_1508,type,
    iG113: 
      !>[X0: $tType] : ( nat > X0 ) ).

tff(func_def_1509,type,
    bG114: $o > $o ).

tff(func_def_1510,type,
    bG115: $o > $o ).

tff(func_def_1511,type,
    iG116: ( nat * $o ) > $o ).

tff(func_def_1512,type,
    iG117: ( nat * $o * $o ) > $o ).

tff(func_def_1513,type,
    bG118: $o > $o ).

tff(func_def_1514,type,
    bG119: $o > $o ).

tff(func_def_1515,type,
    bG122: $o > $o ).

tff(func_def_1516,type,
    bG123: $o > $o ).

tff(func_def_1517,type,
    bG124: $o > $o ).

tff(func_def_1518,type,
    bG125: $o > $o ).

tff(func_def_1519,type,
    iG126: $o > option(nat) ).

tff(func_def_1520,type,
    iG127: ( $o * $o ) > option(nat) ).

tff(func_def_1521,type,
    bG128: $o > $o ).

tff(func_def_1522,type,
    bG129: $o > $o ).

tff(func_def_1523,type,
    iG130: $o > option(nat) ).

tff(func_def_1524,type,
    iG131: ( $o * $o ) > option(nat) ).

tff(func_def_1525,type,
    iG132: $o > option(nat) ).

tff(func_def_1526,type,
    iG133: ( $o * $o ) > option(nat) ).

tff(func_def_1527,type,
    bG134: $o > $o ).

tff(func_def_1528,type,
    bG135: $o > $o ).

tff(func_def_1529,type,
    iG136: $o > option(nat) ).

tff(func_def_1530,type,
    iG137: ( $o * $o ) > option(nat) ).

tff(func_def_1531,type,
    bG138: $o > $o ).

tff(func_def_1532,type,
    bG139: $o > $o ).

tff(func_def_1533,type,
    iG140: 
      !>[X0: $tType] : ( ( X0 * X0 * X0 ) > X0 ) ).

tff(func_def_1534,type,
    iG141: 
      !>[X0: $tType] : ( ( X0 * X0 * X0 ) > X0 ) ).

tff(func_def_1535,type,
    iG142: ( nat * nat * nat ) > nat ).

tff(func_def_1536,type,
    iG147: 
      !>[X0: $tType] : ( ( X0 * X0 * X0 ) > $o ) ).

tff(func_def_1537,type,
    iG148: 
      !>[X0: $tType] : ( ( X0 * X0 * X0 ) > $o ) ).

tff(func_def_1538,type,
    iG149: 
      !>[X0: $tType] : ( ( X0 * X0 * X0 ) > $o ) ).

tff(func_def_1539,type,
    iG150: 
      !>[X0: $tType] : ( ( X0 * X0 * X0 ) > $o ) ).

tff(func_def_1540,type,
    iG153: 
      !>[X0: $tType] : ( ( X0 * X0 * X0 ) > X0 ) ).

tff(func_def_1541,type,
    iG154: 
      !>[X0: $tType] : ( ( X0 * X0 * X0 ) > X0 ) ).

tff(func_def_1542,type,
    iG155: 
      !>[X0: $tType] : ( ( X0 * X0 * X0 ) > $o ) ).

tff(func_def_1543,type,
    iG156: 
      !>[X0: $tType] : ( ( X0 * X0 * X0 ) > $o ) ).

tff(func_def_1544,type,
    iG157: 
      !>[X0: $tType] : ( ( X0 * X0 * X0 ) > $o ) ).

tff(func_def_1545,type,
    iG158: 
      !>[X0: $tType] : ( ( X0 * X0 * X0 ) > $o ) ).

tff(func_def_1546,type,
    iG159: 
      !>[X0: $tType] : ( ( X0 * num * X0 ) > $o ) ).

tff(func_def_1547,type,
    iG160: 
      !>[X0: $tType] : ( ( X0 * num * X0 ) > $o ) ).

tff(func_def_1548,type,
    iG161: 
      !>[X0: $tType] : ( ( X0 * num * X0 ) > $o ) ).

tff(func_def_1549,type,
    iG162: 
      !>[X0: $tType] : ( ( X0 * num * X0 ) > $o ) ).

tff(func_def_1550,type,
    iG163: 
      !>[X0: $tType] : ( ( X0 * num * X0 ) > $o ) ).

tff(func_def_1551,type,
    iG164: 
      !>[X0: $tType] : ( ( X0 * num * X0 ) > $o ) ).

tff(func_def_1552,type,
    iG165: 
      !>[X0: $tType] : ( ( X0 * num * X0 ) > $o ) ).

tff(func_def_1553,type,
    iG166: 
      !>[X0: $tType] : ( ( X0 * num * X0 ) > $o ) ).

tff(func_def_1554,type,
    iG167: ( nat * nat ) > nat ).

tff(func_def_1555,type,
    iG168: 
      !>[X0: $tType] : ( X0 > X0 ) ).

tff(func_def_1556,type,
    iG169: ( nat * nat ) > nat ).

tff(func_def_1557,type,
    bG170: $o > $o ).

tff(func_def_1558,type,
    bG171: $o > $o ).

tff(func_def_1559,type,
    bG172: $o > $o ).

tff(func_def_1560,type,
    bG173: $o > $o ).

tff(func_def_1561,type,
    bG174: $o > $o ).

tff(func_def_1562,type,
    bG175: $o > $o ).

tff(func_def_1563,type,
    bG176: $o > $o ).

tff(func_def_1564,type,
    bG177: $o > $o ).

tff(func_def_1565,type,
    bG178: $o > $o ).

tff(func_def_1566,type,
    bG179: $o > $o ).

tff(func_def_1567,type,
    bG180: nat > $o ).

tff(func_def_1568,type,
    bG181: $o > $o ).

tff(func_def_1569,type,
    bG182: nat > $o ).

tff(func_def_1570,type,
    bG183: nat > $o ).

tff(func_def_1571,type,
    bG185: $o > $o ).

tff(func_def_1572,type,
    bG186: $o > $o ).

tff(func_def_1573,type,
    bG187: ( $o * $o ) > $o ).

tff(func_def_1574,type,
    bG188: $o > $o ).

tff(func_def_1575,type,
    bG189: $o > $o ).

tff(func_def_1576,type,
    bG190: $o > $o ).

tff(func_def_1577,type,
    bG191: $o > $o ).

tff(func_def_1578,type,
    bG192: $o > $o ).

tff(func_def_1579,type,
    bG193: $o > $o ).

tff(func_def_1580,type,
    bG194: $o > $o ).

tff(func_def_1581,type,
    iG195: 
      !>[X0: $tType] : ( $o > X0 ) ).

tff(func_def_1582,type,
    iG196: ( nat * nat ) > nat ).

tff(func_def_1583,type,
    iG197: 
      !>[X0: $tType] : ( ( X0 * X0 * X0 ) > X0 ) ).

tff(func_def_1584,type,
    bG198: 
      !>[X0: $tType] : ( ( nat * nat ) > $o ) ).

tff(func_def_1585,type,
    iG199: ( nat * nat ) > nat ).

tff(func_def_1586,type,
    iG200: ( nat * nat ) > nat ).

tff(func_def_1587,type,
    iG201: 
      !>[X0: $tType] : ( ( nat * X0 ) > set(X0) ) ).

tff(func_def_1588,type,
    iG202: ( nat * nat ) > nat ).

tff(func_def_1589,type,
    iG203: 
      !>[X0: $tType] : ( ( nat * nat * X0 ) > X0 ) ).

tff(func_def_1590,type,
    iG204: 
      !>[X0: $tType] : ( ( nat * X0 ) > X0 ) ).

tff(func_def_1591,type,
    bG205: $o > $o ).

tff(func_def_1592,type,
    bG206: $o > $o ).

tff(func_def_1593,type,
    iG207: ( int * int ) > int ).

tff(func_def_1594,type,
    iG210: 
      !>[X0: $tType] : ( ( X0 * num * X0 ) > product_prod(X0,X0) ) ).

tff(func_def_1595,type,
    iG211: 
      !>[X0: $tType] : ( ( nat * fun(nat,X0) * X0 ) > X0 ) ).

tff(func_def_1596,type,
    bG212: int > $o ).

tff(func_def_1597,type,
    iG213: 
      !>[X0: $tType] : ( ( nat * X0 ) > X0 ) ).

tff(func_def_1598,type,
    iG214: 
      !>[X0: $tType] : ( ( nat * X0 ) > X0 ) ).

tff(func_def_1599,type,
    iG217: 
      !>[X0: $tType] : ( ( set(X0) * X0 * set(X0) ) > set(X0) ) ).

tff(func_def_1600,type,
    iG218: 
      !>[X0: $tType] : ( ( nat * nat ) > fun(X0,X0) ) ).

tff(func_def_1601,type,
    iG219: 
      !>[X0: $tType] : ( ( nat * nat * X0 ) > X0 ) ).

tff(func_def_1602,type,
    iG220: 
      !>[X0: $tType] : ( ( nat * nat * X0 ) > X0 ) ).

tff(func_def_1603,type,
    iG221: 
      !>[X0: $tType] : ( ( nat * nat * X0 ) > X0 ) ).

tff(func_def_1604,type,
    iG222: ( int * int ) > int ).

tff(func_def_1605,type,
    iG223: ( int * int ) > int ).

tff(func_def_1606,type,
    iG226: 
      !>[X0: $tType] : ( ( set(X0) * X0 * set(X0) ) > $o ) ).

tff(func_def_1607,type,
    iG227: 
      !>[X0: $tType] : ( ( X0 * X0 * X0 ) > $o ) ).

tff(func_def_1608,type,
    iG228: 
      !>[X0: $tType] : ( ( X0 * X0 * X0 ) > $o ) ).

tff(func_def_1609,type,
    iG229: 
      !>[X0: $tType] : ( ( X0 * X0 * X0 ) > $o ) ).

tff(func_def_1610,type,
    iG230: 
      !>[X0: $tType] : ( ( X0 * X0 * X0 ) > $o ) ).

tff(func_def_1611,type,
    iG233: 
      !>[X0: $tType] : ( ( X0 * X0 * X0 ) > X0 ) ).

tff(func_def_1612,type,
    iG234: 
      !>[X0: $tType] : ( ( X0 * X0 * X0 ) > X0 ) ).

tff(func_def_1613,type,
    iG235: 
      !>[X0: $tType] : ( ( X0 * X0 * X0 ) > X0 ) ).

tff(func_def_1614,type,
    iG236: 
      !>[X0: $tType] : ( ( set(X0) * X0 * set(X0) ) > $o ) ).

tff(func_def_1615,type,
    iG237: 
      !>[X0: $tType] : ( ( set(X0) * X0 * set(X0) ) > $o ) ).

tff(func_def_1616,type,
    iG238: 
      !>[X0: $tType] : ( ( X0 * X0 * X0 ) > $o ) ).

tff(func_def_1617,type,
    iG239: 
      !>[X0: $tType] : ( ( X0 * X0 * X0 ) > $o ) ).

tff(func_def_1618,type,
    iG240: 
      !>[X0: $tType] : ( ( X0 * X0 * X0 ) > $o ) ).

tff(func_def_1619,type,
    iG241: 
      !>[X0: $tType] : ( ( X0 * X0 * X0 ) > $o ) ).

tff(func_def_1620,type,
    iG242: 
      !>[X0: $tType] : ( ( X0 * num * X0 ) > $o ) ).

tff(func_def_1621,type,
    iG243: 
      !>[X0: $tType] : ( ( X0 * num * X0 ) > $o ) ).

tff(func_def_1622,type,
    iG244: 
      !>[X0: $tType] : ( ( X0 * num * X0 ) > $o ) ).

tff(func_def_1623,type,
    iG245: 
      !>[X0: $tType] : ( ( X0 * num * X0 ) > $o ) ).

tff(func_def_1624,type,
    iG246: 
      !>[X0: $tType] : ( ( X0 * num * X0 ) > $o ) ).

tff(func_def_1625,type,
    iG247: 
      !>[X0: $tType] : ( ( X0 * num * X0 ) > $o ) ).

tff(func_def_1626,type,
    iG248: 
      !>[X0: $tType] : ( ( X0 * num * X0 ) > $o ) ).

tff(func_def_1627,type,
    iG249: 
      !>[X0: $tType] : ( ( X0 * num * X0 ) > $o ) ).

tff(func_def_1628,type,
    iG250: 
      !>[X0: $tType] : ( ( X0 * nat ) > X0 ) ).

tff(func_def_1629,type,
    bG251: ( int * int ) > $o ).

tff(func_def_1630,type,
    bG252: ( int * int ) > $o ).

tff(func_def_1631,type,
    iG253: ( int * int ) > int ).

tff(func_def_1632,type,
    bG254: ( int * int ) > $o ).

tff(func_def_1633,type,
    bG255: ( int * int ) > $o ).

tff(func_def_1634,type,
    iG256: ( int * int ) > int ).

tff(func_def_1635,type,
    iG257: ( int * int ) > set(int) ).

tff(func_def_1636,type,
    iG258: 
      !>[X0: $tType] : ( ( num * num ) > product_prod(X0,X0) ) ).

tff(func_def_1637,type,
    iG259: 
      !>[X0: $tType] : ( ( num * num ) > product_prod(X0,X0) ) ).

tff(func_def_1638,type,
    bG260: ( int * int ) > $o ).

tff(func_def_1639,type,
    bG261: ( int * int ) > $o ).

tff(func_def_1640,type,
    iG262: ( int * int ) > int ).

tff(func_def_1641,type,
    bG263: ( int * int ) > $o ).

tff(func_def_1642,type,
    bG264: ( int * int ) > $o ).

tff(func_def_1643,type,
    iG265: ( int * int ) > int ).

tff(func_def_1644,type,
    iG266: ( nat * nat ) > nat ).

tff(func_def_1645,type,
    bG267: ( nat * nat ) > $o ).

tff(func_def_1646,type,
    iG268: 
      !>[X0: $tType] : ( ( num * num ) > product_prod(X0,X0) ) ).

tff(func_def_1647,type,
    bG269: $o > $o ).

tff(func_def_1648,type,
    bG270: $o > $o ).

tff(func_def_1649,type,
    bG271: $o > $o ).

tff(func_def_1650,type,
    bG272: 
      !>[X0: $tType] : ( X0 > $o ) ).

tff(func_def_1651,type,
    iG273: 
      !>[X0: $tType] : ( ( nat * X0 * X0 ) > $o ) ).

tff(func_def_1652,type,
    bG274: 
      !>[X0: $tType] : ( X0 > $o ) ).

tff(func_def_1653,type,
    iG275: 
      !>[X0: $tType] : ( ( nat * X0 ) > $o ) ).

tff(func_def_1654,type,
    bG276: nat > $o ).

tff(func_def_1655,type,
    bG277: nat > $o ).

tff(func_def_1656,type,
    lG278: ( nat * nat ) > nat ).

tff(func_def_1657,type,
    bG286: $o > $o ).

tff(func_def_1658,type,
    bG287: $o > $o ).

tff(func_def_1659,type,
    iG288: 
      !>[X0: $tType] : ( ( X0 * fun(X0,$o) ) > set(X0) ) ).

tff(func_def_1660,type,
    iG289: 
      !>[X0: $tType] : ( ( X0 * fun(X0,$o) ) > set(X0) ) ).

tff(func_def_1661,type,
    lG290: 
      !>[X0: $tType] : ( num > X0 ) ).

tff(func_def_1662,type,
    lG291: 
      !>[X0: $tType] : ( num > X0 ) ).

tff(func_def_1663,type,
    lG292: nat > nat ).

tff(func_def_1664,type,
    lG293: nat > nat ).

tff(func_def_1665,type,
    iG294: nat > vEBT_VEBT ).

tff(func_def_1666,type,
    lG295: nat > nat ).

tff(func_def_1667,type,
    lG296: nat > nat ).

tff(func_def_1668,type,
    iG297: nat > vEBT_VEBT ).

tff(func_def_1669,type,
    lG298: ( nat * nat ) > nat ).

tff(func_def_1670,type,
    lG300: ( nat * nat ) > nat ).

tff(func_def_1671,type,
    lG302: ( nat * nat ) > nat ).

tff(func_def_1672,type,
    iG303: ( list(vEBT_VEBT) * nat * nat ) > $o ).

tff(func_def_1673,type,
    iG304: ( nat * nat * nat * list(vEBT_VEBT) ) > $o ).

tff(func_def_1674,type,
    iG305: ( nat * nat * nat * nat * list(vEBT_VEBT) ) > $o ).

tff(func_def_1675,type,
    iG306: ( nat * nat * nat * nat * list(vEBT_VEBT) ) > $o ).

tff(func_def_1676,type,
    iG307: ( nat * nat * nat * nat * list(vEBT_VEBT) ) > $o ).

tff(func_def_1677,type,
    lG308: ( nat * nat ) > nat ).

tff(func_def_1678,type,
    lG310: ( nat * nat ) > nat ).

tff(func_def_1679,type,
    bG314: $o > $o ).

tff(func_def_1680,type,
    bG315: $o > $o ).

tff(func_def_1681,type,
    lG316: ( nat * nat ) > nat ).

tff(func_def_1682,type,
    bG320: $o > $o ).

tff(func_def_1683,type,
    bG321: $o > $o ).

tff(func_def_1684,type,
    lG322: ( nat * nat ) > nat ).

tff(func_def_1685,type,
    bG326: $o > $o ).

tff(func_def_1686,type,
    bG327: $o > $o ).

tff(func_def_1687,type,
    lG328: ( nat * nat ) > nat ).

tff(func_def_1688,type,
    lG330: ( nat * nat ) > nat ).

tff(func_def_1689,type,
    iG332: ( nat * nat ) > nat ).

tff(func_def_1690,type,
    iG333: ( nat * nat ) > nat ).

tff(func_def_1691,type,
    bG334: ( nat * nat ) > $o ).

tff(func_def_1692,type,
    bG335: 
      !>[X0: $tType] : ( X0 > $o ) ).

tff(func_def_1693,type,
    bG336: 
      !>[X0: $tType] : ( X0 > $o ) ).

tff(func_def_1694,type,
    lG337: ( nat * nat ) > nat ).

tff(func_def_1695,type,
    bG345: $o > $o ).

tff(func_def_1696,type,
    bG346: $o > $o ).

tff(func_def_1697,type,
    lG347: ( nat * nat ) > nat ).

tff(func_def_1698,type,
    lG349: ( nat * nat ) > nat ).

tff(func_def_1699,type,
    bG351: $o > $o ).

tff(func_def_1700,type,
    bG352: $o > $o ).

tff(func_def_1701,type,
    lG353: ( nat * nat ) > nat ).

tff(func_def_1702,type,
    lG355: ( nat * nat ) > nat ).

tff(func_def_1703,type,
    bG357: $o > $o ).

tff(func_def_1704,type,
    bG358: $o > $o ).

tff(func_def_1705,type,
    lG359: ( nat * nat ) > nat ).

tff(func_def_1706,type,
    bG367: $o > $o ).

tff(func_def_1707,type,
    bG368: $o > $o ).

tff(func_def_1708,type,
    lG369: 
      !>[X0: $tType] : ( int > X0 ) ).

tff(func_def_1709,type,
    iG370: 
      !>[X0: $tType] : ( int > X0 ) ).

tff(func_def_1710,type,
    iG371: 
      !>[X0: $tType] : ( int > X0 ) ).

tff(func_def_1711,type,
    iG372: 
      !>[X0: $tType] : ( int > X0 ) ).

tff(func_def_1712,type,
    lG373: ( nat * nat ) > nat ).

tff(func_def_1713,type,
    iG374: ( list(vEBT_VEBT) * nat * nat ) > $o ).

tff(func_def_1714,type,
    iG375: ( nat * nat * nat * list(vEBT_VEBT) ) > $o ).

tff(func_def_1715,type,
    iG376: ( nat * nat * nat * nat * list(vEBT_VEBT) ) > $o ).

tff(func_def_1716,type,
    iG377: ( nat * nat * nat * nat * list(vEBT_VEBT) ) > $o ).

tff(func_def_1717,type,
    iG378: ( nat * nat * nat * nat * list(vEBT_VEBT) ) > $o ).

tff(func_def_1718,type,
    bG379: $o > $o ).

tff(func_def_1719,type,
    bG380: $o > $o ).

tff(func_def_1720,type,
    bG381: $o > $o ).

tff(func_def_1721,type,
    bG382: $o > $o ).

tff(func_def_1722,type,
    iG383: ( nat * $o ) > $o ).

tff(func_def_1723,type,
    iG384: ( nat * $o * $o ) > $o ).

tff(func_def_1724,type,
    bG385: $o > $o ).

tff(func_def_1725,type,
    bG386: $o > $o ).

tff(func_def_1726,type,
    lG387: ( nat * nat ) > nat ).

tff(func_def_1727,type,
    bG395: $o > $o ).

tff(func_def_1728,type,
    bG396: $o > $o ).

tff(func_def_1729,type,
    bG397: $o > $o ).

tff(func_def_1730,type,
    bG398: $o > $o ).

tff(func_def_1731,type,
    lG399: ( nat * nat ) > nat ).

tff(func_def_1732,type,
    bG407: $o > $o ).

tff(func_def_1733,type,
    bG408: $o > $o ).

tff(func_def_1734,type,
    bG409: $o > $o ).

tff(func_def_1735,type,
    bG410: $o > $o ).

tff(func_def_1736,type,
    lG411: ( nat * nat ) > nat ).

tff(func_def_1737,type,
    bG412: ( nat * nat * list(vEBT_VEBT) ) > $o ).

tff(func_def_1738,type,
    iG413: ( list(vEBT_VEBT) * nat * nat ) > $o ).

tff(func_def_1739,type,
    bG414: $o > $o ).

tff(func_def_1740,type,
    bG415: $o > $o ).

tff(func_def_1741,type,
    bG416: $o > $o ).

tff(func_def_1742,type,
    bG417: $o > $o ).

tff(func_def_1743,type,
    iG418: ( nat * $o ) > $o ).

tff(func_def_1744,type,
    iG419: ( nat * $o * $o ) > $o ).

tff(func_def_1745,type,
    bG420: $o > $o ).

tff(func_def_1746,type,
    bG421: $o > $o ).

tff(func_def_1747,type,
    lG422: ( nat * nat ) > nat ).

tff(func_def_1748,type,
    bG426: $o > $o ).

tff(func_def_1749,type,
    bG427: $o > $o ).

tff(func_def_1750,type,
    bG428: $o > $o ).

tff(func_def_1751,type,
    bG429: $o > $o ).

tff(func_def_1752,type,
    lG430: ( nat * nat ) > nat ).

tff(func_def_1753,type,
    bG434: $o > $o ).

tff(func_def_1754,type,
    bG435: $o > $o ).

tff(func_def_1755,type,
    bG436: $o > $o ).

tff(func_def_1756,type,
    bG437: $o > $o ).

tff(func_def_1757,type,
    lG438: ( nat * nat ) > nat ).

tff(func_def_1758,type,
    lG440: ( nat * nat ) > nat ).

tff(func_def_1759,type,
    bG442: $o > $o ).

tff(func_def_1760,type,
    bG443: $o > $o ).

tff(func_def_1761,type,
    bG444: $o > $o ).

tff(func_def_1762,type,
    bG445: $o > $o ).

tff(func_def_1763,type,
    lG446: ( nat * nat ) > nat ).

tff(func_def_1764,type,
    bG447: ( nat * nat * list(vEBT_VEBT) ) > $o ).

tff(func_def_1765,type,
    iG448: ( list(vEBT_VEBT) * nat * nat ) > $o ).

tff(func_def_1766,type,
    lG449: ( nat * nat ) > nat ).

tff(func_def_1767,type,
    bG451: $o > $o ).

tff(func_def_1768,type,
    bG452: $o > $o ).

tff(func_def_1769,type,
    bG453: $o > $o ).

tff(func_def_1770,type,
    bG454: $o > $o ).

tff(func_def_1771,type,
    lG455: ( nat * nat ) > nat ).

tff(func_def_1772,type,
    lG457: ( nat * nat ) > nat ).

tff(func_def_1773,type,
    lG459: nat > nat ).

tff(func_def_1774,type,
    lG460: nat > nat ).

tff(func_def_1775,type,
    iG461: nat > vEBT_VEBT ).

tff(func_def_1776,type,
    iG462: ( nat * nat ) > product_prod(nat,nat) ).

tff(func_def_1777,type,
    bG463: $o > $o ).

tff(func_def_1778,type,
    bG464: $o > $o ).

tff(func_def_1779,type,
    iG465: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * X1 * fun(X1,X0) ) > X0 ) ).

tff(func_def_1780,type,
    iG466: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * X1 * fun(X1,X0) ) > X0 ) ).

tff(func_def_1781,type,
    iG467: 
      !>[X0: $tType] : ( ( nat * nat * fun(nat,X0) ) > X0 ) ).

tff(func_def_1782,type,
    iG468: 
      !>[X0: $tType] : ( ( set(nat) * fun(nat,X0) ) > X0 ) ).

tff(func_def_1783,type,
    iG469: 
      !>[X0: $tType] : ( ( set(nat) * fun(nat,X0) * fun(nat,X0) ) > X0 ) ).

tff(func_def_1784,type,
    iG470: 
      !>[X0: $tType] : ( X0 > X0 ) ).

tff(func_def_1785,type,
    iG471: 
      !>[X0: $tType] : ( X0 > X0 ) ).

tff(func_def_1786,type,
    iG472: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * X1 * fun(X1,X0) ) > X0 ) ).

tff(func_def_1787,type,
    iG473: real > real ).

tff(func_def_1788,type,
    iG474: int > int ).

tff(func_def_1789,type,
    iG475: 
      !>[X0: $tType] : ( ( set(X0) * X0 * fun(X0,nat) ) > nat ) ).

tff(func_def_1790,type,
    iG476: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * X1 * fun(X1,X0) ) > X0 ) ).

tff(func_def_1791,type,
    iG477: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * X1 * fun(X1,X0) * fun(X1,X0) ) > X0 ) ).

tff(func_def_1792,type,
    iG478: 
      !>[X0: $tType] : ( ( nat * nat * fun(nat,X0) ) > X0 ) ).

tff(func_def_1793,type,
    iG479: 
      !>[X0: $tType] : ( ( X0 * nat * nat ) > X0 ) ).

tff(func_def_1794,type,
    iG480: 
      !>[X0: $tType] : ( ( nat * nat * X0 ) > X0 ) ).

tff(func_def_1795,type,
    bG481: $o > $o ).

tff(func_def_1796,type,
    bG482: $o > $o ).

tff(func_def_1797,type,
    bG483: $o > $o ).

tff(func_def_1798,type,
    iG484: ( nat * nat ) > int ).

tff(func_def_1799,type,
    iG485: 
      !>[X0: $tType] : ( ( X0 * nat * nat ) > X0 ) ).

tff(func_def_1800,type,
    iG486: 
      !>[X0: $tType] : ( nat > X0 ) ).

tff(func_def_1801,type,
    iG487: 
      !>[X0: $tType] : ( X0 > X0 ) ).

tff(func_def_1802,type,
    iG488: 
      !>[X0: $tType] : ( nat > X0 ) ).

tff(func_def_1803,type,
    iG489: nat > real ).

tff(func_def_1804,type,
    iG490: 
      !>[X0: $tType] : ( X0 > int ) ).

tff(func_def_1805,type,
    iG491: 
      !>[X0: $tType] : ( ( X0 * X0 ) > X0 ) ).

tff(func_def_1806,type,
    iG492: 
      !>[X0: $tType] : ( ( X0 * X0 ) > X0 ) ).

tff(func_def_1807,type,
    iG493: 
      !>[X0: $tType] : ( ( X0 * X0 ) > int ) ).

tff(func_def_1808,type,
    iG494: 
      !>[X0: $tType] : ( nat > X0 ) ).

tff(func_def_1809,type,
    iG495: ( nat * nat ) > nat ).

tff(func_def_1810,type,
    iG496: ( nat * nat ) > nat ).

tff(func_def_1811,type,
    iG497: 
      !>[X0: $tType] : ( ( nat * X0 ) > X0 ) ).

tff(func_def_1812,type,
    iG498: 
      !>[X0: $tType] : ( ( nat * X0 ) > X0 ) ).

tff(func_def_1813,type,
    iG499: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * X1 * fun(X1,X0) ) > X0 ) ).

tff(func_def_1814,type,
    iG500: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * X1 * fun(X1,X0) ) > X0 ) ).

tff(func_def_1815,type,
    iG501: 
      !>[X0: $tType] : ( ( nat * nat * fun(nat,X0) ) > X0 ) ).

tff(func_def_1816,type,
    iG502: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * X1 * fun(X1,X0) ) > X0 ) ).

tff(func_def_1817,type,
    iG503: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * X1 * fun(X1,X0) * fun(X1,X0) ) > X0 ) ).

tff(func_def_1818,type,
    iG504: 
      !>[X0: $tType] : ( ( nat * nat * X0 * fun(nat,fun(X0,X0)) ) > X0 ) ).

tff(func_def_1819,type,
    iG505: 
      !>[X0: $tType] : ( ( nat * nat * X0 * fun(nat,fun(X0,X0)) ) > X0 ) ).

tff(func_def_1820,type,
    iG506: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * X1 * fun(X1,X0) ) > X0 ) ).

tff(func_def_1821,type,
    iG507: 
      !>[X0: $tType] : ( ( X0 * nat ) > X0 ) ).

tff(func_def_1822,type,
    bG510: ( nat * nat ) > $o ).

tff(func_def_1823,type,
    iG511: ( int * int * nat * nat ) > int ).

tff(func_def_1824,type,
    iG512: ( int * int * nat * nat ) > int ).

tff(func_def_1825,type,
    iG513: ( int * real ) > real ).

tff(func_def_1826,type,
    bG514: $o > $o ).

tff(func_def_1827,type,
    bG515: $o > $o ).

tff(func_def_1828,type,
    bG516: 
      !>[X0: $tType] : ( X0 > $o ) ).

tff(func_def_1829,type,
    bG517: 
      !>[X0: $tType] : ( X0 > $o ) ).

tff(func_def_1830,type,
    bG518: 
      !>[X0: $tType] : ( X0 > $o ) ).

tff(func_def_1831,type,
    iG519: int > int ).

tff(func_def_1832,type,
    iG520: 
      !>[X0: $tType] : ( X0 > X0 ) ).

tff(func_def_1833,type,
    iG521: 
      !>[X0: $tType] : ( X0 > X0 ) ).

tff(func_def_1834,type,
    iG522: 
      !>[X0: $tType] : ( X0 > X0 ) ).

tff(func_def_1835,type,
    iG523: int > int ).

tff(func_def_1836,type,
    iG524: int > int ).

tff(func_def_1837,type,
    iG525: ( int * real ) > real ).

tff(func_def_1838,type,
    iG526: 
      !>[X0: $tType] : ( X0 > real ) ).

tff(func_def_1839,type,
    bG529: ( int * int ) > $o ).

tff(func_def_1840,type,
    iG530: ( int * int ) > int ).

tff(func_def_1841,type,
    iG531: ( int * int ) > int ).

tff(func_def_1842,type,
    iG532: ( nat * nat ) > nat ).

tff(func_def_1843,type,
    lG533: ( int * int ) > int ).

tff(func_def_1844,type,
    iG534: ( int * int ) > nat ).

tff(func_def_1845,type,
    iG535: ( int * int ) > nat ).

tff(func_def_1846,type,
    iG536: 
      !>[X0: $tType] : ( int > X0 ) ).

tff(func_def_1847,type,
    bG537: nat > $o ).

tff(func_def_1848,type,
    iG538: ( int * nat ) > $o ).

tff(func_def_1849,type,
    bG539: ( nat * nat ) > $o ).

tff(func_def_1850,type,
    iG540: ( int * int * nat * nat ) > int ).

tff(func_def_1851,type,
    iG541: ( int * int * nat * nat ) > int ).

tff(func_def_1852,type,
    iG542: real > real ).

tff(func_def_1853,type,
    iG543: real > real ).

tff(func_def_1854,type,
    iG544: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * X1 * fun(X1,X0) ) > X0 ) ).

tff(func_def_1855,type,
    iG545: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * X1 * fun(X1,X0) ) > X0 ) ).

tff(func_def_1856,type,
    iG546: 
      !>[X0: $tType] : ( ( nat * nat * fun(nat,X0) ) > X0 ) ).

tff(func_def_1857,type,
    iG547: 
      !>[X0: $tType] : ( ( nat * nat * fun(nat,X0) ) > X0 ) ).

tff(func_def_1858,type,
    iG548: rat > rat ).

tff(func_def_1859,type,
    iG549: rat > rat ).

tff(func_def_1860,type,
    iG550: rat > rat ).

tff(func_def_1861,type,
    iG551: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,X0) ) > X0 ) ).

tff(func_def_1862,type,
    iG552: ( nat * nat ) > set(nat) ).

tff(func_def_1863,type,
    iG553: 
      !>[X0: $tType] : ( ( nat * nat * fun(nat,X0) ) > X0 ) ).

tff(func_def_1864,type,
    iG554: 
      !>[X0: $tType] : ( ( nat * nat * fun(nat,X0) ) > X0 ) ).

tff(func_def_1865,type,
    iG555: ( num * nat ) > set(nat) ).

tff(func_def_1866,type,
    iG556: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * X1 * fun(X1,X0) ) > X0 ) ).

tff(func_def_1867,type,
    bG557: $o > $o ).

tff(func_def_1868,type,
    bG558: $o > $o ).

tff(func_def_1869,type,
    bG559: $o > $o ).

tff(func_def_1870,type,
    bG560: $o > $o ).

tff(func_def_1871,type,
    iG561: $o > option(nat) ).

tff(func_def_1872,type,
    iG562: ( $o * $o ) > option(nat) ).

tff(func_def_1873,type,
    bG563: $o > $o ).

tff(func_def_1874,type,
    bG564: $o > $o ).

tff(func_def_1875,type,
    bG565: $o > $o ).

tff(func_def_1876,type,
    bG566: $o > $o ).

tff(func_def_1877,type,
    iG567: $o > option(nat) ).

tff(func_def_1878,type,
    iG568: ( $o * $o ) > option(nat) ).

tff(func_def_1879,type,
    bG569: $o > $o ).

tff(func_def_1880,type,
    bG570: $o > $o ).

tff(func_def_1881,type,
    bG571: $o > $o ).

tff(func_def_1882,type,
    bG572: $o > $o ).

tff(func_def_1883,type,
    bG573: $o > $o ).

tff(func_def_1884,type,
    bG574: $o > $o ).

tff(func_def_1885,type,
    bG575: $o > $o ).

tff(func_def_1886,type,
    bG576: $o > $o ).

tff(func_def_1887,type,
    bG577: $o > $o ).

tff(func_def_1888,type,
    bG578: $o > $o ).

tff(func_def_1889,type,
    iG579: code_integer > code_integer ).

tff(func_def_1890,type,
    iG580: code_integer > code_integer ).

tff(func_def_1891,type,
    lG581: int > code_integer ).

tff(func_def_1892,type,
    iG582: int > code_integer ).

tff(func_def_1893,type,
    iG583: int > code_integer ).

tff(func_def_1894,type,
    iG584: int > code_integer ).

tff(func_def_1895,type,
    iG585: code_integer > code_integer ).

tff(func_def_1896,type,
    iG586: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > nat ) ).

tff(func_def_1897,type,
    iG587: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > nat ) ).

tff(func_def_1898,type,
    iG588: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * X1 * X0 * fun(X1,X0) ) > X0 ) ).

tff(func_def_1899,type,
    iG589: code_integer > int ).

tff(func_def_1900,type,
    iG590: code_integer > int ).

tff(func_def_1901,type,
    iG591: code_integer > nat ).

tff(func_def_1902,type,
    bG592: code_integer > $o ).

tff(func_def_1903,type,
    iG593: code_integer > product_prod(code_integer,$o) ).

tff(func_def_1904,type,
    iG594: ( code_integer * code_integer ) > product_prod(code_integer,code_integer) ).

tff(func_def_1905,type,
    iG595: ( code_integer * code_integer ) > product_prod(code_integer,code_integer) ).

tff(func_def_1906,type,
    iG596: ( code_integer * code_integer ) > product_prod(code_integer,code_integer) ).

tff(func_def_1907,type,
    iG597: ( code_integer * code_integer ) > product_prod(code_integer,code_integer) ).

tff(func_def_1908,type,
    iG598: ( code_integer * code_integer ) > product_prod(code_integer,code_integer) ).

tff(func_def_1909,type,
    lG599: num > nat ).

tff(func_def_1910,type,
    iG600: 
      !>[X0: $tType] : ( ( nat * fun(nat,X0) * X0 ) > X0 ) ).

tff(func_def_1911,type,
    lG601: 
      !>[X0: $tType] : ( ( nat * X0 ) > X0 ) ).

tff(func_def_1912,type,
    iG602: 
      !>[X0: $tType] : ( ( nat * X0 ) > X0 ) ).

tff(func_def_1913,type,
    iG603: ( nat * nat ) > product_prod(nat,nat) ).

tff(func_def_1914,type,
    iG604: ( nat * nat ) > product_prod(nat,nat) ).

tff(func_def_1915,type,
    iG605: ( nat * nat ) > product_prod(int,int) ).

tff(func_def_1916,type,
    iG606: ( nat * nat ) > product_prod(int,int) ).

tff(func_def_1917,type,
    iG607: ( nat * nat ) > product_prod(int,int) ).

tff(func_def_1918,type,
    iG608: ( nat * nat ) > product_prod(nat,nat) ).

tff(func_def_1919,type,
    lG609: product_prod(int,int) > int ).

tff(func_def_1920,type,
    lG610: product_prod(int,int) > int ).

tff(func_def_1921,type,
    iG611: product_prod(int,int) > product_prod(int,int) ).

tff(func_def_1922,type,
    iG612: product_prod(int,int) > product_prod(int,int) ).

tff(func_def_1923,type,
    iG613: ( int * int ) > int ).

tff(func_def_1924,type,
    iG614: 
      !>[X0: $tType] : ( ( set(X0) * X0 * set(X0) ) > set(X0) ) ).

tff(func_def_1925,type,
    iG615: 
      !>[X0: $tType] : ( ( set(X0) * X0 * set(X0) ) > set(X0) ) ).

tff(func_def_1926,type,
    iG616: ( nat * nat ) > nat ).

tff(func_def_1927,type,
    iG617: ( nat * nat ) > nat ).

tff(func_def_1928,type,
    iG618: ( code_integer * code_integer ) > code_integer ).

tff(func_def_1929,type,
    iG619: 
      !>[X0: $tType] : ( ( X0 * X0 ) > set(X0) ) ).

tff(func_def_1930,type,
    bG620: ( nat * nat ) > $o ).

tff(func_def_1931,type,
    iG621: ( nat * nat ) > nat ).

tff(func_def_1932,type,
    iG622: ( nat * nat ) > nat ).

tff(func_def_1933,type,
    iG623: ( nat * nat ) > nat ).

tff(func_def_1934,type,
    bG624: ( $o * $o ) > $o ).

tff(func_def_1935,type,
    bG625: $o > $o ).

tff(func_def_1936,type,
    bG626: $o > $o ).

tff(func_def_1937,type,
    iG627: 
      !>[X0: $tType] : ( ( num * num ) > X0 ) ).

tff(func_def_1938,type,
    iG628: 
      !>[X0: $tType] : ( ( num * num ) > X0 ) ).

tff(func_def_1939,type,
    iG629: 
      !>[X0: $tType] : ( ( num * num ) > X0 ) ).

tff(func_def_1940,type,
    iG630: 
      !>[X0: $tType] : ( ( num * num ) > X0 ) ).

tff(func_def_1941,type,
    iG631: 
      !>[X0: $tType] : ( ( X0 * X0 ) > X0 ) ).

tff(func_def_1942,type,
    iG632: 
      !>[X0: $tType] : ( ( X0 * X0 ) > X0 ) ).

tff(func_def_1943,type,
    iG633: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_1944,type,
    iG634: ( code_integer * code_integer ) > product_prod(code_integer,code_integer) ).

tff(func_def_1945,type,
    iG635: ( code_integer * code_integer ) > product_prod(code_integer,code_integer) ).

tff(func_def_1946,type,
    iG636: ( code_integer * code_integer ) > product_prod(code_integer,code_integer) ).

tff(func_def_1947,type,
    iG637: 
      !>[X0: $tType] : ( ( list(X0) * X0 ) > nat ) ).

tff(func_def_1948,type,
    iG638: 
      !>[X0: $tType] : ( ( nat * X0 ) > X0 ) ).

tff(func_def_1949,type,
    bG639: $o > $o ).

tff(func_def_1950,type,
    bG640: ( nat * $o ) > $o ).

tff(func_def_1951,type,
    bG641: nat > $o ).

tff(func_def_1952,type,
    bG642: nat > $o ).

tff(func_def_1953,type,
    iG643: 
      !>[X0: $tType] : ( ( num * num ) > X0 ) ).

tff(func_def_1954,type,
    iG644: 
      !>[X0: $tType] : ( ( num * num ) > X0 ) ).

tff(func_def_1955,type,
    iG645: 
      !>[X0: $tType] : ( ( num * num ) > X0 ) ).

tff(func_def_1956,type,
    iG646: 
      !>[X0: $tType] : ( ( num * num ) > X0 ) ).

tff(func_def_1957,type,
    iG647: 
      !>[X0: $tType] : ( ( X0 * X0 ) > X0 ) ).

tff(func_def_1958,type,
    iG648: 
      !>[X0: $tType] : ( ( X0 * X0 ) > X0 ) ).

tff(func_def_1959,type,
    iG649: 
      !>[X0: $tType] : ( ( X0 * X0 * X0 ) > X0 ) ).

tff(func_def_1960,type,
    iG650: 
      !>[X0: $tType] : ( ( X0 * X0 * X0 ) > X0 ) ).

tff(func_def_1961,type,
    iG651: 
      !>[X0: $tType] : ( ( X0 * X0 * X0 ) > X0 ) ).

tff(func_def_1962,type,
    iG652: 
      !>[X0: $tType] : ( ( X0 * X0 * X0 ) > X0 ) ).

tff(func_def_1963,type,
    iG653: 
      !>[X0: $tType] : ( ( X0 * X0 * X0 ) > X0 ) ).

tff(func_def_1964,type,
    iG654: 
      !>[X0: $tType] : ( ( X0 * X0 * X0 ) > X0 ) ).

tff(func_def_1965,type,
    iG655: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_1966,type,
    iG656: nat > num ).

tff(func_def_1967,type,
    iG657: 
      !>[X0: $tType] : ( nat > X0 ) ).

tff(func_def_1968,type,
    iG658: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * X1 * fun(X1,X0) ) > X0 ) ).

tff(func_def_1969,type,
    lG659: nat > nat ).

tff(func_def_1970,type,
    lG660: nat > nat ).

tff(func_def_1971,type,
    bG661: ( vEBT_VEBT * list(vEBT_VEBT) ) > $o ).

tff(func_def_1972,type,
    bG662: $o > $o ).

tff(func_def_1973,type,
    bG663: $o > $o ).

tff(func_def_1974,type,
    bG664: $o > $o ).

tff(func_def_1975,type,
    iG665: 
      !>[X0: $tType,X1: $tType] : ( ( option(X1) * fun(X1,X0) * X0 ) > X0 ) ).

tff(func_def_1976,type,
    iG666: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,X0) ) > X0 ) ).

tff(func_def_1977,type,
    lG667: nat > nat ).

tff(func_def_1978,type,
    lG668: nat > nat ).

tff(func_def_1979,type,
    bG669: ( vEBT_VEBT * list(vEBT_VEBT) ) > $o ).

tff(func_def_1980,type,
    lG670: nat > nat ).

tff(func_def_1981,type,
    lG671: nat > nat ).

tff(func_def_1982,type,
    bG672: ( vEBT_VEBT * list(vEBT_VEBT) ) > $o ).

tff(func_def_1983,type,
    bG673: $o > $o ).

tff(func_def_1984,type,
    bG674: $o > $o ).

tff(func_def_1985,type,
    lG675: nat > nat ).

tff(func_def_1986,type,
    lG676: nat > nat ).

tff(func_def_1987,type,
    bG677: ( vEBT_VEBT * list(vEBT_VEBT) ) > $o ).

tff(func_def_1988,type,
    bG678: $o > $o ).

tff(func_def_1989,type,
    bG679: $o > $o ).

tff(func_def_1990,type,
    lG680: nat > nat ).

tff(func_def_1991,type,
    lG681: nat > nat ).

tff(func_def_1992,type,
    bG682: ( vEBT_VEBT * list(vEBT_VEBT) ) > $o ).

tff(func_def_1993,type,
    bG683: $o > $o ).

tff(func_def_1994,type,
    bG684: $o > $o ).

tff(func_def_1995,type,
    bG685: $o > $o ).

tff(func_def_1996,type,
    bG686: $o > $o ).

tff(func_def_1997,type,
    lG687: nat > nat ).

tff(func_def_1998,type,
    lG688: nat > nat ).

tff(func_def_1999,type,
    bG689: ( vEBT_VEBT * list(vEBT_VEBT) ) > $o ).

tff(func_def_2000,type,
    bG690: $o > $o ).

tff(func_def_2001,type,
    bG691: $o > $o ).

tff(func_def_2002,type,
    bG692: $o > $o ).

tff(func_def_2003,type,
    bG693: $o > $o ).

tff(func_def_2004,type,
    lG694: nat > nat ).

tff(func_def_2005,type,
    lG695: nat > nat ).

tff(func_def_2006,type,
    bG696: ( vEBT_VEBT * list(vEBT_VEBT) ) > $o ).

tff(func_def_2007,type,
    bG697: $o > $o ).

tff(func_def_2008,type,
    bG698: $o > $o ).

tff(func_def_2009,type,
    bG699: $o > $o ).

tff(func_def_2010,type,
    bG700: $o > $o ).

tff(func_def_2011,type,
    iG701: ( num * nat ) > option(num) ).

tff(func_def_2012,type,
    iG702: ( nat * nat ) > set(nat) ).

tff(func_def_2013,type,
    iG703: ( nat * nat * nat ) > set(nat) ).

tff(func_def_2014,type,
    iG704: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * X0 ) > set(X0) ) ).

tff(func_def_2015,type,
    iG705: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * X0 ) > X0 ) ).

tff(func_def_2016,type,
    iG706: 
      !>[X0: $tType] : ( ( X0 * X0 * X0 ) > set(X0) ) ).

tff(func_def_2017,type,
    iG707: 
      !>[X0: $tType] : ( ( X0 * X0 * X0 ) > set(X0) ) ).

tff(func_def_2018,type,
    iG708: 
      !>[X0: $tType] : ( ( X0 * X0 * X0 ) > set(X0) ) ).

tff(func_def_2019,type,
    iG709: 
      !>[X0: $tType] : ( ( X0 * X0 * X0 ) > set(X0) ) ).

tff(func_def_2020,type,
    iG710: 
      !>[X0: $tType] : ( ( X0 * X0 * X0 * X0 ) > set(X0) ) ).

tff(func_def_2021,type,
    iG711: 
      !>[X0: $tType] : ( ( X0 * X0 * X0 * X0 ) > set(X0) ) ).

tff(func_def_2022,type,
    iG712: 
      !>[X0: $tType] : ( ( X0 * X0 * X0 * X0 ) > set(X0) ) ).

tff(func_def_2023,type,
    iG713: 
      !>[X0: $tType] : ( ( X0 * X0 * X0 * X0 ) > set(X0) ) ).

tff(func_def_2024,type,
    iG714: 
      !>[X0: $tType] : ( ( X0 * X0 * X0 * X0 ) > set(X0) ) ).

tff(func_def_2025,type,
    iG715: 
      !>[X0: $tType] : ( ( X0 * X0 * X0 * X0 ) > set(X0) ) ).

tff(func_def_2026,type,
    iG716: 
      !>[X0: $tType] : ( ( X0 * X0 * X0 * X0 ) > set(X0) ) ).

tff(func_def_2027,type,
    iG717: 
      !>[X0: $tType] : ( ( X0 * X0 * X0 * X0 ) > set(X0) ) ).

tff(func_def_2028,type,
    iG718: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * set(X0) ) > set(X0) ) ).

tff(func_def_2029,type,
    iG719: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,set(X0)) * X0 ) > set(X0) ) ).

tff(func_def_2030,type,
    iG720: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,set(X0)) * X0 ) > set(X0) ) ).

tff(func_def_2031,type,
    iG721: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,set(X0)) * set(X0) ) > set(X0) ) ).

tff(func_def_2032,type,
    iG722: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * set(X0) * fun(X1,set(X0)) ) > set(X0) ) ).

tff(func_def_2033,type,
    iG723: 
      !>[X0: $tType] : ( ( set(set(X0)) * set(X0) ) > set(X0) ) ).

tff(func_def_2034,type,
    iG724: 
      !>[X0: $tType] : ( ( set(set(X0)) * set(X0) ) > set(X0) ) ).

tff(func_def_2035,type,
    iG725: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,set(X0)) * set(X0) ) > set(X0) ) ).

tff(func_def_2036,type,
    iG726: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,set(X0)) * set(X0) ) > set(X0) ) ).

tff(func_def_2037,type,
    iG727: real > set(real) ).

tff(func_def_2038,type,
    bG728: $o > $o ).

tff(func_def_2039,type,
    iG729: 
      !>[X0: $tType] : ( $o > set(X0) ) ).

tff(func_def_2040,type,
    bG730: $o > $o ).

tff(func_def_2041,type,
    iG731: 
      !>[X0: $tType,X1: $tType] : ( $o > set(product_prod(X1,X0)) ) ).

tff(func_def_2042,type,
    iG732: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * set(X0) ) > set(X0) ) ).

tff(func_def_2043,type,
    iG733: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * set(X0) * fun(X1,set(X0)) ) > set(X0) ) ).

tff(func_def_2044,type,
    iG734: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,set(X0)) * set(X0) ) > set(X0) ) ).

tff(func_def_2045,type,
    iG735: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * set(X0) * fun(X1,set(X0)) ) > set(X0) ) ).

tff(func_def_2046,type,
    iG736: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * X0 ) > X0 ) ).

tff(func_def_2047,type,
    iG737: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * set(X0) * fun(X1,set(X0)) ) > set(X0) ) ).

tff(func_def_2048,type,
    iG738: ( nat * real ) > real ).

tff(func_def_2049,type,
    bG740: $o > $o ).

tff(func_def_2050,type,
    bG741: $o > $o ).

tff(func_def_2051,type,
    iG742: set(nat) > nat ).

tff(func_def_2052,type,
    iG743: ( nat * nat ) > nat ).

tff(func_def_2053,type,
    iG744: 
      !>[X0: $tType] : ( ( X0 * set(X0) ) > X0 ) ).

tff(func_def_2054,type,
    iG745: 
      !>[X0: $tType] : ( ( X0 * set(X0) ) > X0 ) ).

tff(func_def_2055,type,
    iG746: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_2056,type,
    iG747: 
      !>[X0: $tType] : ( ( X0 * set(X0) ) > X0 ) ).

tff(func_def_2057,type,
    iG748: 
      !>[X0: $tType] : ( int > X0 ) ).

tff(func_def_2058,type,
    iG749: 
      !>[X0: $tType] : ( ( int * X0 ) > X0 ) ).

tff(func_def_2059,type,
    iG750: 
      !>[X0: $tType] : ( X0 > X0 ) ).

tff(func_def_2060,type,
    iG751: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * set(X0) * fun(X1,set(X0)) ) > set(X0) ) ).

tff(func_def_2061,type,
    iG752: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,set(X0)) * set(X0) ) > set(X0) ) ).

tff(func_def_2062,type,
    iG753: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * set(X0) * fun(X1,set(X0)) ) > set(X0) ) ).

tff(func_def_2063,type,
    iG754: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * fun(X1,set(X0)) * set(X0) ) > set(X0) ) ).

tff(func_def_2064,type,
    iG755: 
      !>[X0: $tType] : ( ( set(X0) * X0 ) > X0 ) ).

tff(func_def_2065,type,
    iG756: 
      !>[X0: $tType] : ( ( X0 * set(X0) ) > X0 ) ).

tff(func_def_2066,type,
    iG757: 
      !>[X0: $tType] : ( ( X0 * set(X0) ) > X0 ) ).

tff(func_def_2067,type,
    iG758: 
      !>[X0: $tType] : ( ( X0 * set(X0) ) > X0 ) ).

tff(func_def_2068,type,
    iG759: 
      !>[X0: $tType] : ( ( X0 * set(X0) ) > X0 ) ).

tff(func_def_2069,type,
    iG760: 
      !>[X0: $tType] : ( ( X0 * set(X0) ) > X0 ) ).

tff(func_def_2070,type,
    iG761: 
      !>[X0: $tType] : ( ( X0 * set(X0) ) > X0 ) ).

tff(func_def_2071,type,
    iG762: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * X1 * set(X0) ) > set(X0) ) ).

tff(func_def_2072,type,
    iG763: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * X1 * fun(X1,X0) * X0 ) > set(X0) ) ).

tff(func_def_2073,type,
    iG764: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * X1 * fun(X1,option(X0)) * option(X0) ) > fun(X1,option(X0)) ) ).

tff(func_def_2074,type,
    iG765: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * X1 * fun(X1,option(X0)) ) > fun(X1,option(X0)) ) ).

tff(func_def_2075,type,
    iG766: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * X1 * fun(X1,option(X0)) ) > option(X0) ) ).

tff(func_def_2076,type,
    iG767: 
      !>[X0: $tType,X1: $tType] : ( ( option(X1) * fun(X0,option(X1)) * X0 ) > set(X0) ) ).

tff(func_def_2077,type,
    iG768: 
      !>[X0: $tType,X1: $tType] : ( ( list(X1) * list(X0) * X1 * X0 * fun(X1,option(X0)) ) > fun(X1,option(X0)) ) ).

tff(func_def_2078,type,
    iG769: 
      !>[X0: $tType,X1: $tType] : ( ( list(X1) * X1 * fun(X1,X0) ) > option(X0) ) ).

tff(func_def_2079,type,
    iG770: 
      !>[X0: $tType] : ( ( set(nat) * X0 ) > list(X0) ) ).

tff(func_def_2080,type,
    iG771: 
      !>[X0: $tType] : ( ( X0 * fun(X0,$o) * list(X0) ) > option(X0) ) ).

tff(func_def_2081,type,
    iG772: 
      !>[X0: $tType] : ( ( X0 * X0 * list(X0) ) > list(X0) ) ).

tff(func_def_2082,type,
    iG773: 
      !>[X0: $tType] : ( ( X0 * X0 * list(X0) ) > list(X0) ) ).

tff(func_def_2083,type,
    iG774: 
      !>[X0: $tType] : ( ( X0 * X0 * fun(X0,fun(X0,$o)) ) > X0 ) ).

tff(func_def_2084,type,
    iG775: 
      !>[X0: $tType] : ( ( list(X0) * X0 ) > list(X0) ) ).

tff(func_def_2085,type,
    iG776: 
      !>[X0: $tType] : ( ( X0 * X0 * list(X0) ) > list(X0) ) ).

tff(func_def_2086,type,
    iG777: 
      !>[X0: $tType] : ( ( X0 * X0 * list(X0) ) > list(X0) ) ).

tff(func_def_2087,type,
    iG778: 
      !>[X0: $tType,X1: $tType] : ( ( X0 * fun(X0,X1) * X0 * list(X0) ) > list(X0) ) ).

tff(func_def_2088,type,
    lG779: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * X1 * list(X1) ) > X1 ) ).

tff(func_def_2089,type,
    iG780: 
      !>[X0: $tType,X1: $tType] : ( ( list(X0) * X0 * fun(X0,X1) * X0 ) > X0 ) ).

tff(func_def_2090,type,
    iG781: 
      !>[X0: $tType,X1: $tType] : ( ( X1 * X1 * list(product_prod(X1,X0)) * X0 ) > option(X0) ) ).

tff(func_def_2091,type,
    iG782: 
      !>[X0: $tType] : ( ( X0 * X0 * list(X0) ) > nat ) ).

tff(func_def_2092,type,
    iG783: 
      !>[X0: $tType] : ( ( nat * list(X0) * X0 ) > X0 ) ).

tff(func_def_2093,type,
    iG784: 
      !>[X0: $tType] : ( ( nat * X0 ) > list(X0) ) ).

tff(func_def_2094,type,
    iG785: 
      !>[X0: $tType] : ( ( nat * list(X0) * X0 ) > list(X0) ) ).

tff(func_def_2095,type,
    lG786: 
      !>[X0: $tType] : ( list(X0) > set(set(X0)) ) ).

tff(func_def_2096,type,
    iG787: 
      !>[X0: $tType] : ( nat > list(list(X0)) ) ).

tff(func_def_2097,type,
    iG789: 
      !>[X0: $tType] : ( ( list(X0) * X0 * list(X0) ) > list(X0) ) ).

tff(func_def_2098,type,
    iG790: 
      !>[X0: $tType] : ( ( X0 * X0 ) > list(X0) ) ).

tff(func_def_2099,type,
    lG791: 
      !>[X0: $tType] : ( list(X0) > list(list(X0)) ) ).

tff(func_def_2100,type,
    iG792: 
      !>[X0: $tType] : ( ( list(X0) * nat * list(X0) ) > X0 ) ).

tff(func_def_2101,type,
    iG793: 
      !>[X0: $tType] : ( ( list(X0) * nat * X0 * list(X0) ) > list(X0) ) ).

tff(func_def_2102,type,
    iG794: 
      !>[X0: $tType] : ( ( set(nat) * X0 ) > list(X0) ) ).

tff(func_def_2103,type,
    iG795: 
      !>[X0: $tType] : ( ( nat * list(X0) * X0 ) > list(X0) ) ).

tff(func_def_2104,type,
    iG797: ( int * int * list(int) ) > list(int) ).

tff(func_def_2105,type,
    iG798: ( int * int ) > list(int) ).

tff(func_def_2106,type,
    iG799: ( int * int ) > list(int) ).

tff(func_def_2107,type,
    iG800: ( num * num ) > list(int) ).

tff(func_def_2108,type,
    iG801: ( num * num ) > list(int) ).

tff(func_def_2109,type,
    iG802: ( num * num ) > list(int) ).

tff(func_def_2110,type,
    iG803: ( num * num ) > list(int) ).

tff(func_def_2111,type,
    iG804: ( int * int ) > list(int) ).

tff(func_def_2112,type,
    iG805: ( int * int ) > list(int) ).

tff(func_def_2113,type,
    iG806: 
      !>[X0: $tType] : ( ( X0 * X0 * list(X0) ) > list(X0) ) ).

tff(func_def_2114,type,
    iG807: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) ) > X0 ) ).

tff(func_def_2115,type,
    iG808: ( num * num ) > list(nat) ).

tff(func_def_2116,type,
    iG809: ( nat * nat ) > list(nat) ).

tff(func_def_2117,type,
    iG810: ( nat * nat ) > list(nat) ).

tff(func_def_2118,type,
    iG811: 
      !>[X0: $tType] : ( ( X0 * fun(X0,$o) * list(X0) ) > option(product_prod(list(X0),product_prod(X0,list(X0)))) ) ).

tff(func_def_2119,type,
    iG812: 
      !>[X0: $tType] : ( ( X0 * fun(X0,$o) * nat ) > list(X0) ) ).

tff(func_def_2120,type,
    iG813: 
      !>[X0: $tType] : ( ( X0 * fun(X0,$o) * list(X0) ) > list(X0) ) ).

tff(func_def_2121,type,
    iG814: 
      !>[X0: $tType,X1: $tType] : ( ( list(X1) * fun(X1,fun(list(X1),X0)) * X0 ) > X0 ) ).

tff(func_def_2122,type,
    iG815: 
      !>[X0: $tType] : ( list(X0) > nat ) ).

tff(func_def_2123,type,
    iG816: 
      !>[X0: $tType] : ( ( list(X0) * fun(X0,nat) ) > nat ) ).

tff(func_def_2124,type,
    iG817: 
      !>[X0: $tType] : ( ( list(X0) * X0 ) > X0 ) ).

tff(func_def_2125,type,
    iG818: 
      !>[X0: $tType] : ( list(list(X0)) > nat ) ).

tff(func_def_2126,type,
    iG819: 
      !>[X0: $tType] : ( ( X0 * fun(X0,$o) * nat ) > list(X0) ) ).

tff(func_def_2127,type,
    iG820: 
      !>[X0: $tType] : ( ( X0 * fun(X0,$o) * list(X0) ) > list(X0) ) ).

tff(func_def_2128,type,
    iG821: 
      !>[X0: $tType] : ( ( fun(X0,$o) * list(X0) * list(X0) ) > list(X0) ) ).

tff(func_def_2129,type,
    iG822: 
      !>[X0: $tType] : ( ( X0 * fun(X0,$o) * nat ) > list(X0) ) ).

tff(func_def_2130,type,
    iG823: 
      !>[X0: $tType] : ( ( X0 * fun(X0,$o) * list(X0) ) > list(X0) ) ).

tff(func_def_2131,type,
    iG824: 
      !>[X0: $tType] : ( ( fun(X0,$o) * list(X0) * list(X0) ) > list(X0) ) ).

tff(func_def_2132,type,
    lG825: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * X1 * list(X1) ) > X1 ) ).

tff(func_def_2133,type,
    iG826: 
      !>[X0: $tType,X1: $tType] : ( ( list(X0) * X0 * fun(X0,X1) * X0 ) > X0 ) ).

tff(func_def_2134,type,
    iG827: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * set(X0) ) > set(X0) ) ).

tff(func_def_2135,type,
    iG828: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * set(X0) ) > set(X0) ) ).

tff(func_def_2136,type,
    iG829: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * X1 ) > set(X0) ) ).

tff(func_def_2137,type,
    iG830: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * X1 * set(X0) ) > set(X0) ) ).

tff(func_def_2138,type,
    iG831: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * X1 * set(X0) ) > set(X0) ) ).

tff(func_def_2139,type,
    iG832: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * X1 * X1 * set(X0) ) > set(X0) ) ).

tff(func_def_2140,type,
    iG833: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * X1 * fun(X1,set(X0)) ) > set(X0) ) ).

tff(func_def_2141,type,
    iG834: 
      !>[X0: $tType] : ( ( X0 * X0 * fun(X0,fun(X0,$o)) ) > X0 ) ).

tff(func_def_2142,type,
    iG835: complex > real ).

tff(func_def_2143,type,
    iG836: 
      !>[X0: $tType] : ( ( nat * X0 ) > X0 ) ).

tff(func_def_2144,type,
    iG837: 
      !>[X0: $tType] : ( ( nat * nat ) > X0 ) ).

tff(func_def_2145,type,
    iG838: 
      !>[X0: $tType] : ( ( nat * X0 ) > X0 ) ).

tff(func_def_2146,type,
    iG839: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( product_prod(X1,X2) * product_prod(X2,X0) ) > list(product_prod(X1,X0)) ) ).

tff(func_def_2147,type,
    iG840: ( int * int ) > product_prod(int,int) ).

tff(func_def_2148,type,
    iG841: 
      !>[X0: $tType] : ( ( nat * nat ) > X0 ) ).

tff(func_def_2149,type,
    bG842: 
      !>[X0: $tType] : ( ( set(X0) * fun(X0,nat) ) > $o ) ).

tff(func_def_2150,type,
    bG843: 
      !>[X0: $tType] : ( ( set(X0) * fun(X0,nat) ) > $o ) ).

tff(func_def_2151,type,
    iG844: 
      !>[X0: $tType] : ( ( set(X0) * fun(X0,nat) ) > $o ) ).

tff(func_def_2152,type,
    lG845: code_integer > int ).

tff(func_def_2153,type,
    iG846: ( code_integer * code_integer ) > int ).

tff(func_def_2154,type,
    lG847: nat > a ).

tff(func_def_2155,type,
    iG848: ( nat * nat ) > a ).

tff(func_def_2156,type,
    lG849: code_integer > nat ).

tff(func_def_2157,type,
    lG850: code_integer > nat ).

tff(func_def_2158,type,
    iG851: ( code_integer * code_integer ) > nat ).

tff(func_def_2159,type,
    iG852: ( nat * fun(nat,real) * fun(nat,real) ) > real ).

tff(func_def_2160,type,
    iG853: ( code_integer * num * code_integer ) > product_prod(code_integer,code_integer) ).

tff(func_def_2161,type,
    iG854: ( nat * num * nat ) > product_prod(nat,nat) ).

tff(func_def_2162,type,
    iG855: ( int * num * int ) > product_prod(int,int) ).

tff(func_def_2163,type,
    iG856: 
      !>[X0: $tType] : ( ( X0 * num * X0 ) > product_prod(X0,X0) ) ).

tff(func_def_2164,type,
    iG857: 
      !>[X0: $tType] : ( ( X0 * X0 * list(X0) ) > list(X0) ) ).

tff(func_def_2165,type,
    iG858: 
      !>[X0: $tType] : ( ( set(nat) * nat * fun(nat,X0) ) > X0 ) ).

tff(func_def_2166,type,
    iG859: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * X1 * fun(X1,X0) ) > X0 ) ).

tff(func_def_2167,type,
    iG860: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * X1 * fun(X1,X0) ) > X0 ) ).

tff(func_def_2168,type,
    iG861: 
      !>[X0: $tType,X1: $tType] : ( ( X1 * X1 * fun(X1,X0) ) > X0 ) ).

tff(func_def_2169,type,
    iG862: 
      !>[X0: $tType,X1: $tType] : ( ( X1 * X1 * fun(X1,X0) ) > X0 ) ).

tff(func_def_2170,type,
    iG863: 
      !>[X0: $tType] : ( ( nat * nat * fun(nat,X0) ) > X0 ) ).

tff(func_def_2171,type,
    iG864: 
      !>[X0: $tType,X1: $tType] : ( ( X1 * X1 * fun(X1,X0) ) > X0 ) ).

tff(func_def_2172,type,
    iG865: 
      !>[X0: $tType,X1: $tType] : ( ( X1 * X1 * fun(X1,X0) ) > X0 ) ).

tff(func_def_2173,type,
    iG866: ( code_integer * code_integer * code_integer ) > product_prod(code_integer,code_integer) ).

tff(func_def_2174,type,
    iG867: ( code_integer * code_integer * code_integer ) > product_prod(code_integer,code_integer) ).

tff(func_def_2175,type,
    iG868: ( code_integer * code_integer * code_integer ) > product_prod(code_integer,code_integer) ).

tff(func_def_2176,type,
    iG869: 
      !>[X0: $tType] : ( ( X0 * fun(X0,$o) * set(X0) ) > set(X0) ) ).

tff(func_def_2177,type,
    iG870: 
      !>[X0: $tType] : ( ( nat * fun(nat,$o) * fun(nat,X0) ) > X0 ) ).

tff(func_def_2178,type,
    iG871: 
      !>[X0: $tType,X1: $tType] : ( ( X1 * fun(X1,$o) * fun(X1,X0) ) > X0 ) ).

tff(func_def_2179,type,
    iG872: 
      !>[X0: $tType,X1: $tType] : ( ( X1 * fun(X1,$o) * fun(X1,X0) ) > X0 ) ).

tff(func_def_2180,type,
    iG873: 
      !>[X0: $tType,X1: $tType] : ( ( X1 * fun(X1,$o) * fun(X1,X0) ) > X0 ) ).

tff(func_def_2181,type,
    iG874: 
      !>[X0: $tType,X1: $tType] : ( ( X1 * fun(X1,$o) * fun(X1,fun(X0,X0)) ) > fun(X0,X0) ) ).

tff(func_def_2182,type,
    iG875: 
      !>[X0: $tType,X1: $tType] : ( ( X1 * fun(X1,$o) * fun(X1,X0) ) > option(X0) ) ).

tff(func_def_2183,type,
    iG876: 
      !>[X0: $tType] : ( ( nat * nat ) > X0 ) ).

tff(func_def_2184,type,
    iG877: ( code_integer * code_integer * code_integer ) > code_integer ).

tff(func_def_2185,type,
    bG878: code_integer > $o ).

tff(func_def_2186,type,
    bG879: $o > $o ).

tff(func_def_2187,type,
    bG880: $o > $o ).

tff(func_def_2188,type,
    iG881: 
      !>[X0: $tType] : ( ( nat * nat * X0 * X0 ) > X0 ) ).

tff(func_def_2189,type,
    iG882: 
      !>[X0: $tType] : ( ( nat * nat * X0 * X0 ) > X0 ) ).

tff(func_def_2190,type,
    iG883: 
      !>[X0: $tType] : ( ( nat * nat * X0 * X0 ) > X0 ) ).

tff(func_def_2191,type,
    iG884: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( X2 * product_prod(X1,X2) * set(product_prod(X1,X0)) * X0 ) > set(product_prod(X1,X0)) ) ).

tff(func_def_2192,type,
    iG885: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,X1) * X1 * X0 ) > X0 ) ).

tff(func_def_2193,type,
    iG886: 
      !>[X0: $tType] : ( ( nat * nat * fun(nat,X0) ) > X0 ) ).

tff(func_def_2194,type,
    iG887: 
      !>[X0: $tType] : ( ( nat * nat * fun(nat,X0) * fun(nat,X0) ) > X0 ) ).

tff(func_def_2195,type,
    iG888: 
      !>[X0: $tType] : ( ( nat * nat * fun(nat,X0) ) > X0 ) ).

tff(func_def_2196,type,
    iG889: 
      !>[X0: $tType] : ( ( nat * nat * fun(nat,X0) * fun(nat,X0) ) > X0 ) ).

tff(func_def_2197,type,
    iG890: 
      !>[X0: $tType,X1: $tType] : ( ( X1 * X1 * fun(X1,X0) * fun(X1,X0) ) > X0 ) ).

tff(func_def_2198,type,
    iG891: 
      !>[X0: $tType] : ( ( nat * nat * fun(nat,X0) * fun(nat,X0) ) > X0 ) ).

tff(func_def_2199,type,
    iG892: 
      !>[X0: $tType] : ( ( nat * nat * fun(nat,X0) * fun(nat,X0) ) > X0 ) ).

tff(func_def_2200,type,
    iG893: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * X1 * fun(X1,X0) * fun(X1,X0) ) > X0 ) ).

tff(func_def_2201,type,
    iG894: 
      !>[X0: $tType] : ( ( set(nat) * nat * fun(nat,X0) * fun(nat,X0) ) > X0 ) ).

tff(func_def_2202,type,
    iG895: 
      !>[X0: $tType,X1: $tType] : ( ( X1 * X1 * fun(X1,X0) * fun(X1,X0) ) > X0 ) ).

tff(func_def_2203,type,
    iG896: 
      !>[X0: $tType,X1: $tType] : ( ( X1 * X1 * fun(X1,X0) * fun(X1,X0) ) > X0 ) ).

tff(func_def_2204,type,
    iG897: 
      !>[X0: $tType,X1: $tType] : ( ( X1 * X1 * X0 * fun(X1,X0) ) > X0 ) ).

tff(func_def_2205,type,
    iG898: 
      !>[X0: $tType,X1: $tType] : ( ( set(X1) * X1 * X0 * X0 ) > X0 ) ).

tff(func_def_2206,type,
    iG899: 
      !>[X0: $tType] : ( ( X0 * fun(X0,$o) * list(X0) * list(X0) ) > product_prod(list(X0),list(X0)) ) ).

tff(func_def_2207,type,
    iG900: 
      !>[X0: $tType,X1: $tType] : ( ( X1 * fun(X1,$o) * fun(X1,X0) * fun(X1,X0) ) > X0 ) ).

tff(func_def_2208,type,
    iG901: 
      !>[X0: $tType,X1: $tType] : ( ( X1 * fun(X1,$o) * fun(X1,X0) * fun(X1,X0) ) > X0 ) ).

tff(func_def_2209,type,
    iG902: 
      !>[X0: $tType,X1: $tType] : ( ( X1 * fun(X1,$o) * fun(X1,X0) * fun(X1,X0) ) > X0 ) ).

tff(func_def_2210,type,
    iG903: 
      !>[X0: $tType] : ( ( nat * nat ) > X0 ) ).

tff(func_def_2211,type,
    iG904: 
      !>[X0: $tType] : ( ( nat * nat * X0 ) > X0 ) ).

tff(func_def_2212,type,
    bG905: $o > $o ).

tff(func_def_2213,type,
    iG906: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( X2 * X2 * set(product_prod(X1,X0)) * X0 * X1 ) > set(product_prod(X1,X0)) ) ).

tff(func_def_2214,type,
    iG907: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( X2 * X2 * set(product_prod(X1,X0)) * X0 * X1 ) > set(product_prod(X1,X0)) ) ).

tff(func_def_2215,type,
    bG909: $o > $o ).

tff(func_def_2216,type,
    bG910: $o > $o ).

tff(func_def_2217,type,
    bG911: $o > $o ).

tff(func_def_2218,type,
    bG912: $o > $o ).

tff(func_def_2219,type,
    sK919: 
      !>[X0: $tType] : ( ( list(X0) * fun(X0,$o) ) > X0 ) ).

tff(func_def_2220,type,
    sK920: 
      !>[X0: $tType] : ( ( X0 * list(X0) ) > nat ) ).

tff(func_def_2221,type,
    sK921: 
      !>[X0: $tType] : ( ( list(X0) * fun(X0,$o) ) > nat ) ).

tff(func_def_2222,type,
    sK922: 
      !>[X0: $tType] : ( ( list(X0) * fun(X0,$o) ) > nat ) ).

tff(func_def_2223,type,
    sK923: 
      !>[X0: $tType] : ( ( list(X0) * fun(X0,$o) ) > X0 ) ).

tff(func_def_2224,type,
    sK924: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) ) > nat ) ).

tff(func_def_2225,type,
    sK925: 
      !>[X0: $tType] : ( ( fun(nat,fun(X0,$o)) * nat ) > X0 ) ).

tff(func_def_2226,type,
    sK926: 
      !>[X0: $tType] : ( ( nat * fun(nat,fun(X0,$o)) * list(X0) ) > nat ) ).

tff(func_def_2227,type,
    sK927: 
      !>[X0: $tType] : ( ( nat * fun(nat,fun(X0,$o)) ) > list(X0) ) ).

tff(func_def_2228,type,
    sK928: 
      !>[X0: $tType] : ( ( nat * fun(nat,fun(X0,$o)) ) > nat ) ).

tff(func_def_2229,type,
    sK929: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) ) > nat ) ).

tff(func_def_2230,type,
    sK930: 
      !>[X0: $tType] : ( ( list(X0) * fun(X0,$o) ) > X0 ) ).

tff(func_def_2231,type,
    sK931: ( vEBT_VEBT * list(vEBT_VEBT) * nat ) > nat ).

tff(func_def_2232,type,
    sK932: ( vEBT_VEBT * list(vEBT_VEBT) * nat ) > nat ).

tff(func_def_2233,type,
    sK933: ( nat * nat * list(vEBT_VEBT) * nat * nat ) > nat ).

tff(func_def_2234,type,
    sK934: ( nat * nat * list(vEBT_VEBT) * nat * nat ) > nat ).

tff(func_def_2235,type,
    sK935: list(vEBT_VEBT) > vEBT_VEBT ).

tff(func_def_2236,type,
    sK936: list(vEBT_VEBT) > nat ).

tff(func_def_2237,type,
    sK937: ( list(vEBT_VEBT) * nat ) > vEBT_VEBT ).

tff(func_def_2238,type,
    sK938: ( vEBT_VEBT * list(vEBT_VEBT) * nat ) > nat ).

tff(func_def_2239,type,
    sK939: ( vEBT_VEBT * list(vEBT_VEBT) * nat ) > nat ).

tff(func_def_2240,type,
    sK940: ( nat * nat * list(vEBT_VEBT) * nat * nat ) > nat ).

tff(func_def_2241,type,
    sK941: ( nat * nat * list(vEBT_VEBT) * nat * nat ) > nat ).

tff(func_def_2242,type,
    sK942: list(vEBT_VEBT) > vEBT_VEBT ).

tff(func_def_2243,type,
    sK943: list(vEBT_VEBT) > nat ).

tff(func_def_2244,type,
    sK944: ( list(vEBT_VEBT) * nat ) > vEBT_VEBT ).

tff(func_def_2245,type,
    sK945: list(vEBT_VEBT) > vEBT_VEBT ).

tff(func_def_2246,type,
    sK946: list(vEBT_VEBT) > nat ).

tff(func_def_2247,type,
    sK947: vEBT_VEBT > nat ).

tff(func_def_2248,type,
    sK948: ( list(vEBT_VEBT) * nat ) > vEBT_VEBT ).

tff(func_def_2249,type,
    sK949: list(vEBT_VEBT) > vEBT_VEBT ).

tff(func_def_2250,type,
    sK950: list(vEBT_VEBT) > nat ).

tff(func_def_2251,type,
    sK951: vEBT_VEBT > nat ).

tff(func_def_2252,type,
    sK952: ( list(vEBT_VEBT) * nat ) > vEBT_VEBT ).

tff(func_def_2253,type,
    sK953: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * fun(X1,X0) ) > X1 ) ).

tff(func_def_2254,type,
    sK954: nat ).

tff(func_def_2255,type,
    sK955: fun(extended_enat,$o) > extended_enat ).

tff(func_def_2256,type,
    sK956: rat > rat ).

tff(func_def_2257,type,
    sK957: rat > rat ).

tff(func_def_2258,type,
    sK958: ( int * fun(int,$o) ) > int ).

tff(func_def_2259,type,
    sK959: ( int * fun(int,$o) ) > int ).

tff(func_def_2260,type,
    sK960: ( int * fun(int,$o) ) > int ).

tff(func_def_2261,type,
    sK961: fun(nat,fun(nat,$o)) > nat ).

tff(func_def_2262,type,
    sK962: fun(nat,fun(nat,$o)) > nat ).

tff(func_def_2263,type,
    sK963: fun(nat,fun(nat,$o)) > nat ).

tff(func_def_2264,type,
    sK964: fun(nat,fun(nat,$o)) > nat ).

tff(func_def_2265,type,
    sK965: fun(nat,fun(nat,$o)) > nat ).

tff(func_def_2266,type,
    sK966: 
      !>[X0: $tType] : ( ( fun(X0,$o) * X0 * fun(X0,nat) * nat ) > X0 ) ).

tff(func_def_2267,type,
    sK967: 
      !>[X0: $tType] : ( ( fun(X0,$o) * fun(X0,nat) ) > X0 ) ).

tff(func_def_2268,type,
    sK968: fun(nat,nat) > nat ).

tff(func_def_2269,type,
    sK969: fun(nat,nat) > nat ).

tff(func_def_2270,type,
    sK970: ( nat * nat ) > nat ).

tff(func_def_2271,type,
    sK971: ( nat * nat ) > nat ).

tff(func_def_2272,type,
    sK972: ( nat * nat ) > nat ).

tff(func_def_2273,type,
    sK973: 
      !>[X0: $tType] : ( ( nat * set(product_prod(X0,X0)) * fun(nat,X0) ) > nat ) ).

tff(func_def_2274,type,
    sK974: 
      !>[X0: $tType] : ( ( X0 * X0 * nat * set(product_prod(X0,X0)) ) > fun(nat,X0) ) ).

tff(func_def_2275,type,
    sK975: 
      !>[X0: $tType] : ( ( X0 * X0 * nat * set(product_prod(X0,X0)) ) > X0 ) ).

tff(func_def_2276,type,
    sK976: 
      !>[X0: $tType] : ( ( X0 * X0 * nat * set(product_prod(X0,X0)) ) > nat ) ).

tff(func_def_2277,type,
    sK977: 
      !>[X0: $tType] : ( ( X0 * X0 * nat * set(product_prod(X0,X0)) ) > X0 ) ).

tff(func_def_2278,type,
    sK978: 
      !>[X0: $tType] : ( ( X0 * X0 * nat * set(product_prod(X0,X0)) ) > nat ) ).

tff(func_def_2279,type,
    sK979: 
      !>[X0: $tType] : ( ( nat * set(product_prod(X0,X0)) * X0 * X0 ) > X0 ) ).

tff(func_def_2280,type,
    sK980: 
      !>[X0: $tType] : ( ( X0 * X0 * nat * set(product_prod(X0,X0)) ) > X0 ) ).

tff(func_def_2281,type,
    sK981: 
      !>[X0: $tType] : ( ( X0 * X0 * nat * set(product_prod(X0,X0)) ) > X0 ) ).

tff(func_def_2282,type,
    sK982: 
      !>[X0: $tType] : ( ( X0 * X0 * nat * set(product_prod(X0,X0)) ) > X0 ) ).

tff(func_def_2283,type,
    sK983: 
      !>[X0: $tType] : ( ( nat * fun(X0,fun(X0,$o)) * X0 * X0 ) > X0 ) ).

tff(func_def_2284,type,
    sK984: 
      !>[X0: $tType] : ( ( nat * fun(X0,fun(X0,$o)) * X0 * X0 ) > nat ) ).

tff(func_def_2285,type,
    sK985: 
      !>[X0: $tType] : ( ( nat * fun(X0,fun(X0,$o)) * X0 * X0 ) > X0 ) ).

tff(func_def_2286,type,
    sK986: 
      !>[X0: $tType] : ( ( nat * fun(X0,fun(X0,$o)) * X0 * X0 ) > nat ) ).

tff(func_def_2287,type,
    sK987: 
      !>[X0: $tType] : ( ( nat * fun(X0,fun(X0,$o)) * X0 * X0 ) > X0 ) ).

tff(func_def_2288,type,
    sK988: 
      !>[X0: $tType] : ( ( nat * fun(X0,fun(X0,$o)) * X0 * X0 ) > X0 ) ).

tff(func_def_2289,type,
    sK989: 
      !>[X0: $tType] : ( ( nat * fun(X0,fun(X0,$o)) * X0 * X0 ) > X0 ) ).

tff(func_def_2290,type,
    sK990: 
      !>[X0: $tType] : ( ( nat * fun(X0,fun(X0,$o)) * fun(nat,X0) ) > nat ) ).

tff(func_def_2291,type,
    sK991: 
      !>[X0: $tType] : ( ( nat * fun(X0,fun(X0,$o)) * X0 * X0 ) > fun(nat,X0) ) ).

tff(func_def_2292,type,
    sK992: int > nat ).

tff(func_def_2293,type,
    sK993: ( real * real ) > nat ).

tff(func_def_2294,type,
    sK994: int > nat ).

tff(func_def_2295,type,
    sK995: int > nat ).

tff(func_def_2296,type,
    sK996: int > nat ).

tff(func_def_2297,type,
    sK997: int > nat ).

tff(func_def_2298,type,
    sK998: int > nat ).

tff(func_def_2299,type,
    sK999: int > nat ).

tff(func_def_2300,type,
    sK1000: ( int * int ) > nat ).

tff(func_def_2301,type,
    sK1001: int > nat ).

tff(func_def_2302,type,
    sK1002: int > nat ).

tff(func_def_2303,type,
    sK1003: ( real * real ) > nat ).

tff(func_def_2304,type,
    sK1004: ( int * int ) > nat ).

tff(func_def_2305,type,
    sK1005: int > nat ).

tff(func_def_2306,type,
    sK1006: int > nat ).

tff(func_def_2307,type,
    sK1007: int > nat ).

tff(func_def_2308,type,
    sK1008: int > nat ).

tff(func_def_2309,type,
    sK1009: fun(int,$o) > nat ).

tff(func_def_2310,type,
    sK1010: fun(int,$o) > nat ).

tff(func_def_2311,type,
    sK1011: int > nat ).

tff(func_def_2312,type,
    sK1012: int > nat ).

tff(func_def_2313,type,
    sK1013: int > nat ).

tff(func_def_2314,type,
    sK1014: int > nat ).

tff(func_def_2315,type,
    sK1015: fun(nat,$o) > nat ).

tff(func_def_2316,type,
    sK1016: fun(nat,$o) > nat ).

tff(func_def_2317,type,
    sK1017: nat > nat ).

tff(func_def_2318,type,
    sK1018: 
      !>[X0: $tType] : ( ( fun(nat,fun(X0,$o)) * fun(nat,fun(X0,fun(X0,$o))) ) > fun(nat,X0) ) ).

tff(func_def_2319,type,
    sK1019: 
      !>[X0: $tType] : ( ( fun(nat,fun(X0,$o)) * fun(nat,fun(X0,fun(X0,$o))) ) > X0 ) ).

tff(func_def_2320,type,
    sK1020: 
      !>[X0: $tType] : ( ( fun(nat,fun(X0,$o)) * fun(nat,fun(X0,fun(X0,$o))) ) > nat ) ).

tff(func_def_2321,type,
    sK1021: fun(nat,$o) > nat ).

tff(func_def_2322,type,
    sK1022: nat > nat ).

tff(func_def_2323,type,
    sK1023: ( fun(nat,$o) * nat ) > nat ).

tff(func_def_2324,type,
    sK1024: ( nat * nat * fun(nat,$o) ) > nat ).

tff(func_def_2325,type,
    sK1025: ( nat * nat * fun(nat,$o) ) > nat ).

tff(func_def_2326,type,
    sK1026: ( nat * fun(nat,$o) ) > nat ).

tff(func_def_2327,type,
    sK1027: ( nat * fun(nat,$o) ) > nat ).

tff(func_def_2328,type,
    sK1028: nat > nat ).

tff(func_def_2329,type,
    sK1029: ( nat * fun(nat,$o) ) > nat ).

tff(func_def_2330,type,
    sK1030: ( nat * fun(nat,$o) ) > nat ).

tff(func_def_2331,type,
    sK1031: nat > nat ).

tff(func_def_2332,type,
    sK1032: ( nat * nat ) > nat ).

tff(func_def_2333,type,
    sK1033: fun(nat,fun(nat,$o)) > nat ).

tff(func_def_2334,type,
    sK1034: fun(nat,fun(nat,$o)) > nat ).

tff(func_def_2335,type,
    sK1035: fun(nat,fun(nat,$o)) > nat ).

tff(func_def_2336,type,
    sK1036: fun(nat,fun(nat,$o)) > nat ).

tff(func_def_2337,type,
    sK1037: fun(nat,fun(nat,$o)) > nat ).

tff(func_def_2338,type,
    sK1038: ( nat * fun(nat,$o) ) > nat ).

tff(func_def_2339,type,
    sK1039: fun(nat,$o) > nat ).

tff(func_def_2340,type,
    sK1040: nat > nat ).

tff(func_def_2341,type,
    sK1041: ( nat * fun(nat,$o) ) > nat ).

tff(func_def_2342,type,
    sK1042: ( nat * fun(nat,$o) ) > nat ).

tff(func_def_2343,type,
    sK1043: fun(nat,fun(nat,$o)) > nat ).

tff(func_def_2344,type,
    sK1044: fun(nat,fun(nat,$o)) > nat ).

tff(func_def_2345,type,
    sK1045: fun(nat,fun(nat,$o)) > nat ).

tff(func_def_2346,type,
    sK1046: fun(nat,fun(nat,$o)) > nat ).

tff(func_def_2347,type,
    sK1047: ( nat * nat ) > nat ).

tff(func_def_2348,type,
    sK1048: ( nat * fun(nat,$o) ) > nat ).

tff(func_def_2349,type,
    sK1049: ( nat * fun(nat,$o) ) > nat ).

tff(func_def_2350,type,
    sK1050: ( nat * fun(nat,$o) ) > nat ).

tff(func_def_2351,type,
    sK1051: ( nat * fun(nat,$o) ) > nat ).

tff(func_def_2352,type,
    sK1052: ( nat * nat ) > nat ).

tff(func_def_2353,type,
    sK1053: ( nat * nat ) > nat ).

tff(func_def_2354,type,
    sK1054: nat > nat ).

tff(func_def_2355,type,
    sK1055: fun(nat,$o) > nat ).

tff(func_def_2356,type,
    sK1056: fun(nat,fun(nat,$o)) > nat ).

tff(func_def_2357,type,
    sK1057: fun(nat,fun(nat,$o)) > nat ).

tff(func_def_2358,type,
    sK1058: fun(nat,fun(nat,$o)) > nat ).

tff(func_def_2359,type,
    sK1059: fun(nat,fun(nat,$o)) > nat ).

tff(func_def_2360,type,
    sK1060: fun(nat,$o) > nat ).

tff(func_def_2361,type,
    sK1061: nat > nat ).

tff(func_def_2362,type,
    sK1062: ( nat * nat ) > nat ).

tff(func_def_2363,type,
    sK1063: ( nat * nat ) > nat ).

tff(func_def_2364,type,
    sK1064: ( nat * nat ) > nat ).

tff(func_def_2365,type,
    sK1065: nat > nat ).

tff(func_def_2366,type,
    sK1066: nat > nat ).

tff(func_def_2367,type,
    sK1067: fun(nat,$o) > nat ).

tff(func_def_2368,type,
    sK1068: fun(nat,$o) > nat ).

tff(func_def_2369,type,
    sK1069: fun(nat,$o) > nat ).

tff(func_def_2370,type,
    sK1070: ( real * real ) > nat ).

tff(func_def_2371,type,
    sK1071: ( real * real ) > nat ).

tff(func_def_2372,type,
    sK1072: ( nat * real ) > real ).

tff(func_def_2373,type,
    sK1073: ( nat * real ) > real ).

tff(func_def_2374,type,
    sK1074: ( real * nat ) > real ).

tff(func_def_2375,type,
    sK1075: ( nat * nat ) > nat ).

tff(func_def_2376,type,
    sK1076: ( nat * nat ) > nat ).

tff(func_def_2377,type,
    sK1077: ( nat * fun(nat,$o) ) > nat ).

tff(func_def_2378,type,
    sK1078: ( nat * fun(nat,$o) ) > nat ).

tff(func_def_2379,type,
    sK1079: 
      !>[X0: $tType] : ( ( fun(X0,$o) * fun(X0,nat) ) > X0 ) ).

tff(func_def_2380,type,
    sK1080: 
      !>[X0: $tType] : ( ( fun(X0,$o) * fun(X0,nat) * nat ) > X0 ) ).

tff(func_def_2381,type,
    sK1081: fun(nat,nat) > nat ).

tff(func_def_2382,type,
    sK1082: fun(nat,nat) > nat ).

tff(func_def_2383,type,
    sK1083: 
      !>[X0: $tType] : ( ( fun(X0,nat) * fun(X0,$o) ) > X0 ) ).

tff(func_def_2384,type,
    sK1084: 
      !>[X0: $tType] : ( ( fun(X0,nat) * fun(X0,$o) ) > X0 ) ).

tff(func_def_2385,type,
    sK1085: fun(nat,$o) > nat ).

tff(func_def_2386,type,
    sK1086: 
      !>[X0: $tType] : ( ( fun(X0,$o) * fun(X0,nat) ) > X0 ) ).

tff(func_def_2387,type,
    sK1087: fun(nat,$o) > nat ).

tff(func_def_2388,type,
    sK1088: fun(nat,$o) > nat ).

tff(func_def_2389,type,
    sK1089: ( fun(nat,$o) * nat ) > nat ).

tff(func_def_2390,type,
    sK1090: 
      !>[X0: $tType] : ( ( list(X0) * nat ) > X0 ) ).

tff(func_def_2391,type,
    sK1091: 
      !>[X0: $tType] : ( ( list(X0) * nat ) > list(X0) ) ).

tff(func_def_2392,type,
    sK1092: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) ) > list(X0) ) ).

tff(func_def_2393,type,
    sK1093: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) ) > X0 ) ).

tff(func_def_2394,type,
    sK1094: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) ) > list(X0) ) ).

tff(func_def_2395,type,
    sK1095: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) ) > X0 ) ).

tff(func_def_2396,type,
    sK1096: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) ) > list(X0) ) ).

tff(func_def_2397,type,
    sK1097: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) * list(X0) * list(X0) ) > list(X0) ) ).

tff(func_def_2398,type,
    sK1098: 
      !>[X0: $tType] : ( fun(list(X0),$o) > X0 ) ).

tff(func_def_2399,type,
    sK1099: 
      !>[X0: $tType] : ( fun(list(X0),$o) > list(X0) ) ).

tff(func_def_2400,type,
    sK1100: 
      !>[X0: $tType] : ( list(X0) > list(X0) ) ).

tff(func_def_2401,type,
    sK1101: 
      !>[X0: $tType] : ( list(X0) > X0 ) ).

tff(func_def_2402,type,
    sK1102: 
      !>[X0: $tType] : ( ( X0 * list(X0) * list(X0) * list(X0) ) > list(X0) ) ).

tff(func_def_2403,type,
    sK1103: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) * X0 * list(X0) ) > list(X0) ) ).

tff(func_def_2404,type,
    sK1104: 
      !>[X0: $tType] : ( fun(list(X0),$o) > X0 ) ).

tff(func_def_2405,type,
    sK1105: 
      !>[X0: $tType] : ( fun(list(X0),$o) > list(X0) ) ).

tff(func_def_2406,type,
    sK1106: 
      !>[X0: $tType] : ( fun(list(X0),$o) > X0 ) ).

tff(func_def_2407,type,
    sK1107: 
      !>[X0: $tType] : ( ( list(X0) * fun(X0,$o) ) > X0 ) ).

tff(func_def_2408,type,
    sK1108: 
      !>[X0: $tType] : ( ( fun(X0,$o) * list(X0) ) > X0 ) ).

tff(func_def_2409,type,
    sK1109: 
      !>[X0: $tType] : ( ( list(X0) * fun(X0,$o) ) > list(X0) ) ).

tff(func_def_2410,type,
    sK1110: 
      !>[X0: $tType] : ( ( list(X0) * fun(X0,$o) ) > X0 ) ).

tff(func_def_2411,type,
    sK1111: 
      !>[X0: $tType] : ( ( list(X0) * fun(X0,$o) ) > list(X0) ) ).

tff(func_def_2412,type,
    sK1112: 
      !>[X0: $tType] : ( ( list(X0) * fun(X0,$o) ) > X0 ) ).

tff(func_def_2413,type,
    sK1113: 
      !>[X0: $tType] : ( ( fun(X0,$o) * list(X0) ) > X0 ) ).

tff(func_def_2414,type,
    sK1114: 
      !>[X0: $tType] : ( ( list(X0) * fun(X0,$o) ) > list(X0) ) ).

tff(func_def_2415,type,
    sK1115: 
      !>[X0: $tType] : ( ( list(X0) * fun(X0,$o) ) > X0 ) ).

tff(func_def_2416,type,
    sK1116: 
      !>[X0: $tType] : ( ( list(X0) * fun(X0,$o) ) > list(X0) ) ).

tff(func_def_2417,type,
    sK1117: 
      !>[X0: $tType] : ( ( X0 * list(X0) ) > list(X0) ) ).

tff(func_def_2418,type,
    sK1118: 
      !>[X0: $tType] : ( ( X0 * list(X0) ) > list(X0) ) ).

tff(func_def_2419,type,
    sK1119: 
      !>[X0: $tType] : ( ( X0 * list(X0) ) > list(X0) ) ).

tff(func_def_2420,type,
    sK1120: 
      !>[X0: $tType] : ( ( X0 * list(X0) ) > list(X0) ) ).

tff(func_def_2421,type,
    sK1121: 
      !>[X0: $tType] : ( ( list(X0) * fun(X0,$o) ) > list(X0) ) ).

tff(func_def_2422,type,
    sK1122: 
      !>[X0: $tType] : ( ( list(X0) * fun(X0,$o) ) > X0 ) ).

tff(func_def_2423,type,
    sK1123: 
      !>[X0: $tType] : ( ( list(X0) * fun(X0,$o) ) > list(X0) ) ).

tff(func_def_2424,type,
    sK1124: 
      !>[X0: $tType] : ( ( list(X0) * fun(X0,$o) ) > list(X0) ) ).

tff(func_def_2425,type,
    sK1125: 
      !>[X0: $tType] : ( ( list(X0) * fun(X0,$o) ) > X0 ) ).

tff(func_def_2426,type,
    sK1126: 
      !>[X0: $tType] : ( ( list(X0) * fun(X0,$o) ) > list(X0) ) ).

tff(func_def_2427,type,
    sK1127: 
      !>[X0: $tType] : ( ( list(X0) * fun(X0,$o) ) > list(X0) ) ).

tff(func_def_2428,type,
    sK1128: 
      !>[X0: $tType] : ( ( list(X0) * fun(X0,$o) ) > X0 ) ).

tff(func_def_2429,type,
    sK1129: 
      !>[X0: $tType] : ( ( list(X0) * fun(X0,$o) ) > list(X0) ) ).

tff(func_def_2430,type,
    sK1130: 
      !>[X0: $tType] : ( ( list(X0) * fun(X0,$o) ) > list(X0) ) ).

tff(func_def_2431,type,
    sK1131: 
      !>[X0: $tType] : ( ( list(X0) * fun(X0,$o) ) > X0 ) ).

tff(func_def_2432,type,
    sK1132: 
      !>[X0: $tType] : ( ( list(X0) * fun(X0,$o) ) > list(X0) ) ).

tff(func_def_2433,type,
    sK1133: 
      !>[X0: $tType] : ( ( X0 * list(X0) ) > list(X0) ) ).

tff(func_def_2434,type,
    sK1134: 
      !>[X0: $tType] : ( ( X0 * list(X0) ) > list(X0) ) ).

tff(func_def_2435,type,
    sK1135: 
      !>[X0: $tType] : ( ( list(X0) * fun(X0,$o) ) > list(X0) ) ).

tff(func_def_2436,type,
    sK1136: 
      !>[X0: $tType] : ( ( list(X0) * fun(X0,$o) ) > X0 ) ).

tff(func_def_2437,type,
    sK1137: 
      !>[X0: $tType] : ( ( list(X0) * fun(X0,$o) ) > list(X0) ) ).

tff(func_def_2438,type,
    sK1138: 
      !>[X0: $tType] : ( ( X0 * list(X0) ) > list(X0) ) ).

tff(func_def_2439,type,
    sK1139: 
      !>[X0: $tType] : ( ( X0 * list(X0) ) > list(X0) ) ).

tff(func_def_2440,type,
    sK1140: 
      !>[X0: $tType] : ( ( list(X0) * fun(X0,$o) ) > list(X0) ) ).

tff(func_def_2441,type,
    sK1141: 
      !>[X0: $tType] : ( ( list(X0) * fun(X0,$o) ) > X0 ) ).

tff(func_def_2442,type,
    sK1142: 
      !>[X0: $tType] : ( ( list(X0) * fun(X0,$o) ) > list(X0) ) ).

tff(func_def_2443,type,
    sK1143: 
      !>[X0: $tType] : ( ( X0 * list(X0) ) > list(X0) ) ).

tff(func_def_2444,type,
    sK1144: 
      !>[X0: $tType] : ( ( X0 * list(X0) ) > list(X0) ) ).

tff(func_def_2445,type,
    sK1145: 
      !>[X0: $tType] : ( ( X0 * list(X0) ) > list(X0) ) ).

tff(func_def_2446,type,
    sK1146: 
      !>[X0: $tType] : ( ( X0 * list(X0) ) > list(X0) ) ).

tff(func_def_2447,type,
    sK1147: 
      !>[X0: $tType,X1: $tType] : ( ( list(X0) * list(X0) * fun(X1,X0) * list(X1) ) > list(X1) ) ).

tff(func_def_2448,type,
    sK1148: 
      !>[X0: $tType,X1: $tType] : ( ( list(X0) * list(X0) * fun(X1,X0) * list(X1) ) > list(X1) ) ).

tff(func_def_2449,type,
    sK1149: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * list(X1) * list(X0) * list(X0) ) > list(X1) ) ).

tff(func_def_2450,type,
    sK1150: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * list(X1) * list(X0) * list(X0) ) > list(X1) ) ).

tff(func_def_2451,type,
    sK1151: 
      !>[X0: $tType] : ( set(list(X0)) > nat ) ).

tff(func_def_2452,type,
    sK1152: 
      !>[X0: $tType] : ( fun(list(X0),$o) > list(X0) ) ).

tff(func_def_2453,type,
    sK1153: 
      !>[X0: $tType] : ( nat > list(X0) ) ).

tff(func_def_2454,type,
    sK1154: 
      !>[X0: $tType] : ( ( nat * list(X0) ) > X0 ) ).

tff(func_def_2455,type,
    sK1155: 
      !>[X0: $tType] : ( ( nat * list(X0) ) > list(X0) ) ).

tff(func_def_2456,type,
    sK1156: 
      !>[X0: $tType] : ( ( X0 * list(X0) ) > X0 ) ).

tff(func_def_2457,type,
    sK1157: 
      !>[X0: $tType] : ( ( X0 * list(X0) ) > list(X0) ) ).

tff(func_def_2458,type,
    sK1158: 
      !>[X0: $tType] : ( ( X0 * list(X0) ) > list(X0) ) ).

tff(func_def_2459,type,
    sK1159: 
      !>[X0: $tType] : ( ( nat * list(X0) ) > X0 ) ).

tff(func_def_2460,type,
    sK1160: 
      !>[X0: $tType] : ( ( nat * list(X0) ) > list(X0) ) ).

tff(func_def_2461,type,
    sK1161: 
      !>[X0: $tType] : ( ( list(X0) * nat ) > X0 ) ).

tff(func_def_2462,type,
    sK1162: 
      !>[X0: $tType] : ( ( list(X0) * nat ) > list(X0) ) ).

tff(func_def_2463,type,
    sK1163: 
      !>[X0: $tType,X1: $tType] : ( product_prod(fun(X0,X1),product_prod(list(X0),list(X1))) > fun(X0,X1) ) ).

tff(func_def_2464,type,
    sK1164: 
      !>[X0: $tType,X1: $tType] : ( product_prod(fun(X0,X1),product_prod(list(X0),list(X1))) > X0 ) ).

tff(func_def_2465,type,
    sK1165: 
      !>[X0: $tType,X1: $tType] : ( product_prod(fun(X0,X1),product_prod(list(X0),list(X1))) > list(X0) ) ).

tff(func_def_2466,type,
    sK1166: 
      !>[X0: $tType,X1: $tType] : ( product_prod(fun(X0,X1),product_prod(list(X0),list(X1))) > list(X1) ) ).

tff(func_def_2467,type,
    sK1167: 
      !>[X0: $tType,X1: $tType] : ( product_prod(fun(X0,X1),product_prod(list(X0),list(X1))) > fun(X0,X1) ) ).

tff(func_def_2468,type,
    sK1168: 
      !>[X0: $tType,X1: $tType] : ( product_prod(fun(X0,X1),product_prod(list(X0),list(X1))) > list(X1) ) ).

tff(func_def_2469,type,
    sK1169: 
      !>[X0: $tType] : ( product_prod(list(X0),list(X0)) > X0 ) ).

tff(func_def_2470,type,
    sK1170: 
      !>[X0: $tType] : ( product_prod(list(X0),list(X0)) > list(X0) ) ).

tff(func_def_2471,type,
    sK1171: 
      !>[X0: $tType] : ( product_prod(list(X0),list(X0)) > X0 ) ).

tff(func_def_2472,type,
    sK1172: 
      !>[X0: $tType] : ( product_prod(list(X0),list(X0)) > list(X0) ) ).

tff(func_def_2473,type,
    sK1173: 
      !>[X0: $tType] : ( product_prod(list(X0),list(X0)) > list(X0) ) ).

tff(func_def_2474,type,
    sK1174: 
      !>[X0: $tType] : ( product_prod(list(X0),list(X0)) > list(X0) ) ).

tff(func_def_2475,type,
    sK1175: 
      !>[X0: $tType] : ( product_prod(list(X0),list(X0)) > X0 ) ).

tff(func_def_2476,type,
    sK1176: 
      !>[X0: $tType] : ( product_prod(list(X0),list(X0)) > list(X0) ) ).

tff(func_def_2477,type,
    sK1177: 
      !>[X0: $tType] : ( product_prod(list(X0),list(X0)) > list(X0) ) ).

tff(func_def_2478,type,
    sK1178: 
      !>[X0: $tType] : ( product_prod(list(X0),list(X0)) > list(X0) ) ).

tff(func_def_2479,type,
    sK1179: 
      !>[X0: $tType] : ( product_prod(fun(X0,fun(X0,$o)),list(X0)) > fun(X0,fun(X0,$o)) ) ).

tff(func_def_2480,type,
    sK1180: 
      !>[X0: $tType] : ( product_prod(fun(X0,fun(X0,$o)),list(X0)) > X0 ) ).

tff(func_def_2481,type,
    sK1181: 
      !>[X0: $tType] : ( product_prod(fun(X0,fun(X0,$o)),list(X0)) > list(X0) ) ).

tff(func_def_2482,type,
    sK1182: 
      !>[X0: $tType] : ( product_prod(fun(X0,fun(X0,$o)),list(X0)) > fun(X0,fun(X0,$o)) ) ).

tff(func_def_2483,type,
    sK1183: 
      !>[X0: $tType,X1: $tType] : ( product_prod(fun(X1,X0),list(X1)) > fun(X1,X0) ) ).

tff(func_def_2484,type,
    sK1184: 
      !>[X0: $tType,X1: $tType] : ( product_prod(fun(X1,X0),list(X1)) > fun(X1,X0) ) ).

tff(func_def_2485,type,
    sK1185: 
      !>[X0: $tType,X1: $tType] : ( product_prod(fun(X1,X0),list(X1)) > X1 ) ).

tff(func_def_2486,type,
    sK1186: 
      !>[X0: $tType,X1: $tType] : ( product_prod(fun(X1,X0),list(X1)) > X1 ) ).

tff(func_def_2487,type,
    sK1187: 
      !>[X0: $tType,X1: $tType] : ( product_prod(fun(X1,X0),list(X1)) > list(X1) ) ).

tff(func_def_2488,type,
    sK1188: 
      !>[X0: $tType,X1: $tType] : ( product_prod(fun(X1,X0),list(X1)) > fun(X1,X0) ) ).

tff(func_def_2489,type,
    sK1189: 
      !>[X0: $tType,X1: $tType] : ( product_prod(fun(X1,X0),list(X1)) > X1 ) ).

tff(func_def_2490,type,
    sK1190: 
      !>[X0: $tType] : ( product_prod(fun(X0,fun(X0,$o)),list(X0)) > fun(X0,fun(X0,$o)) ) ).

tff(func_def_2491,type,
    sK1191: 
      !>[X0: $tType] : ( product_prod(fun(X0,fun(X0,$o)),list(X0)) > X0 ) ).

tff(func_def_2492,type,
    sK1192: 
      !>[X0: $tType] : ( product_prod(fun(X0,fun(X0,$o)),list(X0)) > X0 ) ).

tff(func_def_2493,type,
    sK1193: 
      !>[X0: $tType] : ( product_prod(fun(X0,fun(X0,$o)),list(X0)) > list(X0) ) ).

tff(func_def_2494,type,
    sK1194: 
      !>[X0: $tType] : ( product_prod(fun(X0,fun(X0,$o)),list(X0)) > fun(X0,fun(X0,$o)) ) ).

tff(func_def_2495,type,
    sK1195: 
      !>[X0: $tType] : ( product_prod(fun(X0,fun(X0,$o)),list(X0)) > X0 ) ).

tff(func_def_2496,type,
    sK1196: 
      !>[X0: $tType] : ( product_prod(fun(X0,fun(X0,$o)),list(X0)) > fun(X0,fun(X0,$o)) ) ).

tff(func_def_2497,type,
    sK1197: 
      !>[X0: $tType] : ( list(X0) > X0 ) ).

tff(func_def_2498,type,
    sK1198: 
      !>[X0: $tType] : ( list(X0) > list(X0) ) ).

tff(func_def_2499,type,
    sK1199: 
      !>[X0: $tType] : ( list(list(X0)) > X0 ) ).

tff(func_def_2500,type,
    sK1200: 
      !>[X0: $tType] : ( list(list(X0)) > list(X0) ) ).

tff(func_def_2501,type,
    sK1201: 
      !>[X0: $tType] : ( list(list(X0)) > list(list(X0)) ) ).

tff(func_def_2502,type,
    sK1202: 
      !>[X0: $tType] : ( list(list(X0)) > list(list(X0)) ) ).

tff(func_def_2503,type,
    sK1203: 
      !>[X0: $tType] : ( list(X0) > X0 ) ).

tff(func_def_2504,type,
    sK1204: 
      !>[X0: $tType] : ( list(X0) > X0 ) ).

tff(func_def_2505,type,
    sK1205: 
      !>[X0: $tType] : ( list(X0) > list(X0) ) ).

tff(func_def_2506,type,
    sK1206: 
      !>[X0: $tType] : ( list(X0) > X0 ) ).

tff(func_def_2507,type,
    sK1207: 
      !>[X0: $tType] : ( list(X0) > X0 ) ).

tff(func_def_2508,type,
    sK1208: 
      !>[X0: $tType] : ( list(X0) > list(X0) ) ).

tff(func_def_2509,type,
    sK1209: 
      !>[X0: $tType,X1: $tType] : ( fun(list(X0),fun(list(X1),$o)) > X0 ) ).

tff(func_def_2510,type,
    sK1210: 
      !>[X0: $tType,X1: $tType] : ( fun(list(X0),fun(list(X1),$o)) > list(X0) ) ).

tff(func_def_2511,type,
    sK1211: 
      !>[X0: $tType,X1: $tType] : ( fun(list(X0),fun(list(X1),$o)) > X1 ) ).

tff(func_def_2512,type,
    sK1212: 
      !>[X0: $tType,X1: $tType] : ( fun(list(X0),fun(list(X1),$o)) > list(X1) ) ).

tff(func_def_2513,type,
    sK1213: 
      !>[X0: $tType,X1: $tType] : ( fun(list(X0),fun(list(X1),$o)) > X1 ) ).

tff(func_def_2514,type,
    sK1214: 
      !>[X0: $tType,X1: $tType] : ( fun(list(X0),fun(list(X1),$o)) > list(X1) ) ).

tff(func_def_2515,type,
    sK1215: 
      !>[X0: $tType,X1: $tType] : ( fun(list(X0),fun(list(X1),$o)) > X0 ) ).

tff(func_def_2516,type,
    sK1216: 
      !>[X0: $tType,X1: $tType] : ( fun(list(X0),fun(list(X1),$o)) > list(X0) ) ).

tff(func_def_2517,type,
    sK1217: 
      !>[X0: $tType] : ( fun(list(X0),$o) > X0 ) ).

tff(func_def_2518,type,
    sK1218: 
      !>[X0: $tType] : ( fun(list(X0),$o) > list(X0) ) ).

tff(func_def_2519,type,
    sK1219: 
      !>[X0: $tType] : ( fun(list(X0),$o) > X0 ) ).

tff(func_def_2520,type,
    sK1220: 
      !>[X0: $tType,X1: $tType] : ( fun(list(X0),fun(list(X1),$o)) > X0 ) ).

tff(func_def_2521,type,
    sK1221: 
      !>[X0: $tType,X1: $tType] : ( fun(list(X0),fun(list(X1),$o)) > list(X0) ) ).

tff(func_def_2522,type,
    sK1222: 
      !>[X0: $tType,X1: $tType] : ( fun(list(X0),fun(list(X1),$o)) > X1 ) ).

tff(func_def_2523,type,
    sK1223: 
      !>[X0: $tType,X1: $tType] : ( fun(list(X0),fun(list(X1),$o)) > list(X1) ) ).

tff(func_def_2524,type,
    sK1224: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( fun(list(X1),fun(list(X0),fun(list(X2),$o))) > X1 ) ).

tff(func_def_2525,type,
    sK1225: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( fun(list(X1),fun(list(X0),fun(list(X2),$o))) > list(X1) ) ).

tff(func_def_2526,type,
    sK1226: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( fun(list(X1),fun(list(X0),fun(list(X2),$o))) > X0 ) ).

tff(func_def_2527,type,
    sK1227: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( fun(list(X1),fun(list(X0),fun(list(X2),$o))) > list(X0) ) ).

tff(func_def_2528,type,
    sK1228: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( fun(list(X1),fun(list(X0),fun(list(X2),$o))) > X2 ) ).

tff(func_def_2529,type,
    sK1229: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( fun(list(X1),fun(list(X0),fun(list(X2),$o))) > list(X2) ) ).

tff(func_def_2530,type,
    sK1230: 
      !>[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_2531,type,
    sK1231: 
      !>[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_2532,type,
    sK1232: 
      !>[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_2533,type,
    sK1233: 
      !>[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_2534,type,
    sK1234: 
      !>[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_2535,type,
    sK1235: 
      !>[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_2536,type,
    sK1236: 
      !>[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_2537,type,
    sK1237: 
      !>[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_2538,type,
    sK1238: ( fun(real,fun(real,$o)) * real * real ) > real ).

tff(func_def_2539,type,
    sK1239: ( fun(real,fun(real,$o)) * real * real * real ) > real ).

tff(func_def_2540,type,
    sK1240: ( fun(real,fun(real,$o)) * real * real * real ) > real ).

tff(func_def_2541,type,
    sK1241: fun(real,fun(real,$o)) > real ).

tff(func_def_2542,type,
    sK1242: fun(real,fun(real,$o)) > real ).

tff(func_def_2543,type,
    sK1243: fun(real,fun(real,$o)) > real ).

tff(func_def_2544,type,
    sK1244: ( int * fun(int,$o) ) > int ).

tff(func_def_2545,type,
    sK1245: ( fun(int,$o) * int ) > int ).

tff(func_def_2546,type,
    sK1246: ( fun(int,$o) * int ) > int ).

tff(func_def_2547,type,
    sK1247: fun(int,$o) > int ).

tff(func_def_2548,type,
    sK1248: ( fun(int,$o) * fun(int,$o) * int ) > int ).

tff(func_def_2549,type,
    sK1249: ( int * fun(int,$o) ) > int ).

tff(func_def_2550,type,
    sK1250: ( int * fun(int,$o) ) > int ).

tff(func_def_2551,type,
    sK1251: fun(int,$o) > int ).

tff(func_def_2552,type,
    sK1252: ( fun(int,$o) * fun(int,$o) * int ) > int ).

tff(func_def_2553,type,
    sK1253: ( int * fun(int,$o) ) > int ).

tff(func_def_2554,type,
    sK1254: ( int * fun(int,$o) ) > int ).

tff(func_def_2555,type,
    sK1255: ( int * fun(int,$o) ) > int ).

tff(func_def_2556,type,
    sK1256: ( int * fun(int,$o) ) > int ).

tff(func_def_2557,type,
    sK1257: 
      !>[X0: $tType] : ( ( set(X0) * set(X0) ) > X0 ) ).

tff(func_def_2558,type,
    sK1258: ( fun(nat,$o) * nat * nat ) > nat ).

tff(func_def_2559,type,
    sK1259: ( fun(nat,$o) * nat * nat ) > nat ).

tff(func_def_2560,type,
    sK1260: 
      !>[X0: $tType] : ( ( set(X0) * set(X0) ) > X0 ) ).

tff(func_def_2561,type,
    sK1261: 
      !>[X0: $tType] : ( ( set(X0) * set(X0) ) > X0 ) ).

tff(func_def_2562,type,
    sK1262: 
      !>[X0: $tType] : ( ( set(X0) * set(X0) ) > X0 ) ).

tff(func_def_2563,type,
    sK1263: 
      !>[X0: $tType] : ( set(X0) > list(X0) ) ).

tff(func_def_2564,type,
    sK1264: 
      !>[X0: $tType] : ( ( list(X0) * set(X0) ) > X0 ) ).

tff(func_def_2565,type,
    sK1265: fun(nat,$o) > nat ).

tff(func_def_2566,type,
    sK1266: ( fun(nat,$o) * nat ) > nat ).

tff(func_def_2567,type,
    sK1267: 
      !>[X0: $tType] : ( ( fun(X0,$o) * fun(X0,nat) ) > X0 ) ).

tff(func_def_2568,type,
    sK1268: fun(nat,$o) > nat ).

tff(func_def_2569,type,
    sK1269: ( fun(nat,$o) * nat ) > nat ).

tff(func_def_2570,type,
    sK1270: 
      !>[X0: $tType,X1: $tType] : ( ( X0 * list(X0) * fun(X1,X0) * list(X1) ) > X1 ) ).

tff(func_def_2571,type,
    sK1271: 
      !>[X0: $tType,X1: $tType] : ( ( X0 * list(X0) * fun(X1,X0) * list(X1) ) > list(X1) ) ).

tff(func_def_2572,type,
    sK1272: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * list(X0) * X1 * list(X1) ) > X0 ) ).

tff(func_def_2573,type,
    sK1273: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * list(X0) * X1 * list(X1) ) > list(X0) ) ).

tff(func_def_2574,type,
    sK1274: 
      !>[X0: $tType,X1: $tType] : ( ( X0 * list(X0) * fun(X1,X0) * list(X1) ) > X1 ) ).

tff(func_def_2575,type,
    sK1275: 
      !>[X0: $tType,X1: $tType] : ( ( X0 * list(X0) * fun(X1,X0) * list(X1) ) > list(X1) ) ).

tff(func_def_2576,type,
    sK1276: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * list(X0) * X1 * list(X1) ) > X0 ) ).

tff(func_def_2577,type,
    sK1277: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * list(X0) * X1 * list(X1) ) > list(X0) ) ).

tff(func_def_2578,type,
    sK1278: 
      !>[X0: $tType,X1: $tType] : ( ( list(X0) * fun(X1,X0) ) > list(X1) ) ).

tff(func_def_2579,type,
    sK1279: 
      !>[X0: $tType,X1: $tType] : ( ( list(X0) * fun(X1,X0) ) > X0 ) ).

tff(func_def_2580,type,
    sK1280: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * X0 ) > X1 ) ).

tff(func_def_2581,type,
    sK1281: 
      !>[X0: $tType,X1: $tType] : ( ( list(X1) * fun(X1,X0) * fun(X1,X0) ) > X1 ) ).

tff(func_def_2582,type,
    sK1282: 
      !>[X0: $tType] : ( ( list(X0) * fun(X0,X0) ) > X0 ) ).

tff(func_def_2583,type,
    sK1283: 
      !>[X0: $tType,X1: $tType] : ( ( list(X1) * fun(X1,X0) * fun(X1,X0) ) > X1 ) ).

tff(func_def_2584,type,
    sK1284: 
      !>[X0: $tType,X1: $tType] : ( ( list(X1) * list(X1) * fun(X1,X0) * fun(X1,X0) ) > X1 ) ).

tff(func_def_2585,type,
    sK1285: 
      !>[X0: $tType,X1: $tType] : ( ( list(X1) * list(X1) * fun(X1,X0) * fun(X1,X0) ) > X1 ) ).

tff(func_def_2586,type,
    sK1286: 
      !>[X0: $tType,X1: $tType] : ( ( list(X1) * fun(X1,X0) * fun(X1,X0) ) > X1 ) ).

tff(func_def_2587,type,
    sK1287: 
      !>[X0: $tType,X1: $tType] : ( ( list(X1) * fun(X1,X0) * fun(X1,X0) ) > X1 ) ).

tff(func_def_2588,type,
    sK1288: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * list(X1) * fun(X1,X0) ) > X1 ) ).

tff(func_def_2589,type,
    sK1289: 
      !>[X0: $tType,X1: $tType] : ( ( set(product_prod(X1,X0)) * set(product_prod(X1,X0)) ) > X1 ) ).

tff(func_def_2590,type,
    sK1290: 
      !>[X0: $tType,X1: $tType] : ( ( set(product_prod(X1,X0)) * set(product_prod(X1,X0)) ) > X0 ) ).

tff(func_def_2591,type,
    sK1291: product_prod(int,int) > int ).

tff(func_def_2592,type,
    sK1292: product_prod(int,int) > int ).

tff(func_def_2593,type,
    sK1293: product_prod(nat,nat) > nat ).

tff(func_def_2594,type,
    sK1294: product_prod(nat,nat) > nat ).

tff(func_def_2595,type,
    sK1295: 
      !>[X0: $tType] : ( product_prod(fun(nat,fun(X0,X0)),product_prod(nat,product_prod(nat,X0))) > fun(nat,fun(X0,X0)) ) ).

tff(func_def_2596,type,
    sK1296: 
      !>[X0: $tType] : ( product_prod(fun(nat,fun(X0,X0)),product_prod(nat,product_prod(nat,X0))) > nat ) ).

tff(func_def_2597,type,
    sK1297: 
      !>[X0: $tType] : ( product_prod(fun(nat,fun(X0,X0)),product_prod(nat,product_prod(nat,X0))) > nat ) ).

tff(func_def_2598,type,
    sK1298: 
      !>[X0: $tType] : ( product_prod(fun(nat,fun(X0,X0)),product_prod(nat,product_prod(nat,X0))) > X0 ) ).

tff(func_def_2599,type,
    sK1299: 
      !>[X0: $tType,X1: $tType] : ( ( set(product_prod(X1,X0)) * set(product_prod(X1,X0)) ) > X1 ) ).

tff(func_def_2600,type,
    sK1300: 
      !>[X0: $tType,X1: $tType] : ( ( set(product_prod(X1,X0)) * set(product_prod(X1,X0)) ) > X0 ) ).

tff(func_def_2601,type,
    sK1301: 
      !>[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_2602,type,
    sK1302: 
      !>[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_2603,type,
    sK1303: 
      !>[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_2604,type,
    sK1304: 
      !>[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_2605,type,
    sK1305: 
      !>[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_2606,type,
    sK1306: 
      !>[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_2607,type,
    sK1307: 
      !>[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_2608,type,
    sK1308: 
      !>[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_2609,type,
    sK1309: 
      !>[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_2610,type,
    sK1310: 
      !>[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_2611,type,
    sK1311: 
      !>[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_2612,type,
    sK1312: 
      !>[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_2613,type,
    sK1313: 
      !>[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_2614,type,
    sK1314: 
      !>[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_2615,type,
    sK1315: 
      !>[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_2616,type,
    sK1316: 
      !>[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_2617,type,
    sK1317: 
      !>[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_2618,type,
    sK1318: 
      !>[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_2619,type,
    sK1319: 
      !>[X0: $tType,X1: $tType,X2: $tType,X3: $tType] : ( fun(product_prod(X3,product_prod(X2,product_prod(X1,X0))),$o) > X3 ) ).

tff(func_def_2620,type,
    sK1320: 
      !>[X0: $tType,X1: $tType,X2: $tType,X3: $tType] : ( fun(product_prod(X3,product_prod(X2,product_prod(X1,X0))),$o) > X2 ) ).

tff(func_def_2621,type,
    sK1321: 
      !>[X0: $tType,X1: $tType,X2: $tType,X3: $tType] : ( fun(product_prod(X3,product_prod(X2,product_prod(X1,X0))),$o) > X1 ) ).

tff(func_def_2622,type,
    sK1322: 
      !>[X0: $tType,X1: $tType,X2: $tType,X3: $tType] : ( fun(product_prod(X3,product_prod(X2,product_prod(X1,X0))),$o) > X0 ) ).

tff(func_def_2623,type,
    sK1323: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( fun(product_prod(X2,product_prod(X1,X0)),$o) > X2 ) ).

tff(func_def_2624,type,
    sK1324: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( fun(product_prod(X2,product_prod(X1,X0)),$o) > X1 ) ).

tff(func_def_2625,type,
    sK1325: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( fun(product_prod(X2,product_prod(X1,X0)),$o) > X0 ) ).

tff(func_def_2626,type,
    sK1326: 
      !>[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_2627,type,
    sK1327: 
      !>[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_2628,type,
    sK1328: 
      !>[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_2629,type,
    sK1329: 
      !>[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_2630,type,
    sK1330: 
      !>[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_2631,type,
    sK1331: 
      !>[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_2632,type,
    sK1332: 
      !>[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_2633,type,
    sK1333: 
      !>[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_2634,type,
    sK1334: 
      !>[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_2635,type,
    sK1335: 
      !>[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_2636,type,
    sK1336: 
      !>[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_2637,type,
    sK1337: 
      !>[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_2638,type,
    sK1338: 
      !>[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_2639,type,
    sK1339: 
      !>[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_2640,type,
    sK1340: 
      !>[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_2641,type,
    sK1341: 
      !>[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_2642,type,
    sK1342: 
      !>[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_2643,type,
    sK1343: 
      !>[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_2644,type,
    sK1344: 
      !>[X0: $tType,X1: $tType,X2: $tType,X3: $tType] : ( product_prod(X0,product_prod(X1,product_prod(X2,X3))) > X0 ) ).

tff(func_def_2645,type,
    sK1345: 
      !>[X0: $tType,X1: $tType,X2: $tType,X3: $tType] : ( product_prod(X0,product_prod(X1,product_prod(X2,X3))) > X1 ) ).

tff(func_def_2646,type,
    sK1346: 
      !>[X0: $tType,X1: $tType,X2: $tType,X3: $tType] : ( product_prod(X0,product_prod(X1,product_prod(X2,X3))) > X2 ) ).

tff(func_def_2647,type,
    sK1347: 
      !>[X0: $tType,X1: $tType,X2: $tType,X3: $tType] : ( product_prod(X0,product_prod(X1,product_prod(X2,X3))) > X3 ) ).

tff(func_def_2648,type,
    sK1348: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( product_prod(X0,product_prod(X1,X2)) > X0 ) ).

tff(func_def_2649,type,
    sK1349: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( product_prod(X0,product_prod(X1,X2)) > X1 ) ).

tff(func_def_2650,type,
    sK1350: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( product_prod(X0,product_prod(X1,X2)) > X2 ) ).

tff(func_def_2651,type,
    sK1351: 
      !>[X0: $tType,X1: $tType] : ( fun(product_prod(X1,X0),$o) > X1 ) ).

tff(func_def_2652,type,
    sK1352: 
      !>[X0: $tType,X1: $tType] : ( fun(product_prod(X1,X0),$o) > X0 ) ).

tff(func_def_2653,type,
    sK1353: 
      !>[X0: $tType,X1: $tType] : ( product_prod(X0,X1) > X0 ) ).

tff(func_def_2654,type,
    sK1354: 
      !>[X0: $tType,X1: $tType] : ( product_prod(X0,X1) > X1 ) ).

tff(func_def_2655,type,
    sK1355: 
      !>[X0: $tType,X1: $tType] : ( product_prod(X0,X1) > X0 ) ).

tff(func_def_2656,type,
    sK1356: 
      !>[X0: $tType,X1: $tType] : ( product_prod(X0,X1) > X1 ) ).

tff(func_def_2657,type,
    sK1357: ( fun(int,$o) * int * int ) > int ).

tff(func_def_2658,type,
    sK1358: ( fun(int,$o) * int * int ) > int ).

tff(func_def_2659,type,
    sK1359: ( fun(int,$o) * int * int ) > int ).

tff(func_def_2660,type,
    sK1360: ( fun(int,$o) * int * int ) > int ).

tff(func_def_2661,type,
    sK1361: ( fun(nat,$o) * nat * nat ) > nat ).

tff(func_def_2662,type,
    sK1362: ( fun(nat,$o) * nat * nat ) > nat ).

tff(func_def_2663,type,
    sK1363: ( fun(nat,$o) * nat * nat ) > nat ).

tff(func_def_2664,type,
    sK1364: ( list(vEBT_VEBT) * nat ) > vEBT_VEBT ).

tff(func_def_2665,type,
    sK1365: ( vEBT_VEBT * nat ) > option(product_prod(nat,nat)) ).

tff(func_def_2666,type,
    sK1366: ( vEBT_VEBT * nat ) > list(vEBT_VEBT) ).

tff(func_def_2667,type,
    sK1367: ( vEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_2668,type,
    sK1368: 
      !>[X0: $tType] : ( product_prod(fun(X0,fun(X0,$o)),product_prod(option(X0),option(X0))) > fun(X0,fun(X0,$o)) ) ).

tff(func_def_2669,type,
    sK1369: 
      !>[X0: $tType] : ( product_prod(fun(X0,fun(X0,$o)),product_prod(option(X0),option(X0))) > X0 ) ).

tff(func_def_2670,type,
    sK1370: 
      !>[X0: $tType] : ( product_prod(fun(X0,fun(X0,$o)),product_prod(option(X0),option(X0))) > X0 ) ).

tff(func_def_2671,type,
    sK1371: 
      !>[X0: $tType] : ( product_prod(fun(X0,fun(X0,$o)),product_prod(option(X0),option(X0))) > fun(X0,fun(X0,$o)) ) ).

tff(func_def_2672,type,
    sK1372: 
      !>[X0: $tType] : ( product_prod(fun(X0,fun(X0,$o)),product_prod(option(X0),option(X0))) > X0 ) ).

tff(func_def_2673,type,
    sK1373: 
      !>[X0: $tType] : ( product_prod(fun(X0,fun(X0,$o)),product_prod(option(X0),option(X0))) > fun(X0,fun(X0,$o)) ) ).

tff(func_def_2674,type,
    sK1374: 
      !>[X0: $tType] : ( product_prod(fun(X0,fun(X0,$o)),product_prod(option(X0),option(X0))) > option(X0) ) ).

tff(func_def_2675,type,
    sK1375: 
      !>[X0: $tType] : ( product_prod(fun(X0,fun(X0,X0)),product_prod(option(X0),option(X0))) > fun(X0,fun(X0,X0)) ) ).

tff(func_def_2676,type,
    sK1376: 
      !>[X0: $tType] : ( product_prod(fun(X0,fun(X0,X0)),product_prod(option(X0),option(X0))) > X0 ) ).

tff(func_def_2677,type,
    sK1377: 
      !>[X0: $tType] : ( product_prod(fun(X0,fun(X0,X0)),product_prod(option(X0),option(X0))) > X0 ) ).

tff(func_def_2678,type,
    sK1378: 
      !>[X0: $tType] : ( product_prod(fun(X0,fun(X0,X0)),product_prod(option(X0),option(X0))) > fun(X0,fun(X0,X0)) ) ).

tff(func_def_2679,type,
    sK1379: 
      !>[X0: $tType] : ( product_prod(fun(X0,fun(X0,X0)),product_prod(option(X0),option(X0))) > X0 ) ).

tff(func_def_2680,type,
    sK1380: 
      !>[X0: $tType] : ( product_prod(fun(X0,fun(X0,X0)),product_prod(option(X0),option(X0))) > fun(X0,fun(X0,X0)) ) ).

tff(func_def_2681,type,
    sK1381: 
      !>[X0: $tType] : ( product_prod(fun(X0,fun(X0,X0)),product_prod(option(X0),option(X0))) > option(X0) ) ).

tff(func_def_2682,type,
    sK1382: 
      !>[X0: $tType] : ( option(X0) > X0 ) ).

tff(func_def_2683,type,
    sK1383: 
      !>[X0: $tType] : ( fun(option(X0),$o) > option(X0) ) ).

tff(func_def_2684,type,
    sK1384: 
      !>[X0: $tType] : ( fun(option(X0),$o) > X0 ) ).

tff(func_def_2685,type,
    sK1385: 
      !>[X0: $tType] : ( fun(option(X0),$o) > X0 ) ).

tff(func_def_2686,type,
    sK1386: 
      !>[X0: $tType] : ( fun(option(X0),$o) > option(X0) ) ).

tff(func_def_2687,type,
    sK1387: 
      !>[X0: $tType,X1: $tType] : ( ( option(X0) * fun(option(X0),fun(option(X1),$o)) * option(X1) ) > X0 ) ).

tff(func_def_2688,type,
    sK1388: 
      !>[X0: $tType,X1: $tType] : ( ( option(X0) * fun(option(X0),fun(option(X1),$o)) * option(X1) ) > X1 ) ).

tff(func_def_2689,type,
    sK1389: 
      !>[X0: $tType] : ( option(X0) > X0 ) ).

tff(func_def_2690,type,
    sK1390: 
      !>[X0: $tType] : ( option(X0) > X0 ) ).

tff(func_def_2691,type,
    sK1391: nat ).

tff(pred_def_1,type,
    type: 
      !>[X0: $tType] : $o ).

tff(pred_def_2,type,
    size: 
      !>[X0: $tType] : $o ).

tff(pred_def_3,type,
    dvd: 
      !>[X0: $tType] : $o ).

tff(pred_def_4,type,
    one: 
      !>[X0: $tType] : $o ).

tff(pred_def_5,type,
    idom: 
      !>[X0: $tType] : $o ).

tff(pred_def_6,type,
    ring: 
      !>[X0: $tType] : $o ).

tff(pred_def_7,type,
    plus: 
      !>[X0: $tType] : $o ).

tff(pred_def_8,type,
    zero: 
      !>[X0: $tType] : $o ).

tff(pred_def_9,type,
    numeral: 
      !>[X0: $tType] : $o ).

tff(pred_def_10,type,
    power: 
      !>[X0: $tType] : $o ).

tff(pred_def_11,type,
    field: 
      !>[X0: $tType] : $o ).

tff(pred_def_12,type,
    ring_gcd: 
      !>[X0: $tType] : $o ).

tff(pred_def_13,type,
    abs_if: 
      !>[X0: $tType] : $o ).

tff(pred_def_14,type,
    ring_1: 
      !>[X0: $tType] : $o ).

tff(pred_def_15,type,
    uminus: 
      !>[X0: $tType] : $o ).

tff(pred_def_16,type,
    bot: 
      !>[X0: $tType] : $o ).

tff(pred_def_17,type,
    ord: 
      !>[X0: $tType] : $o ).

tff(pred_def_18,type,
    top: 
      !>[X0: $tType] : $o ).

tff(pred_def_19,type,
    semidom: 
      !>[X0: $tType] : $o ).

tff(pred_def_20,type,
    inverse: 
      !>[X0: $tType] : $o ).

tff(pred_def_21,type,
    semiring: 
      !>[X0: $tType] : $o ).

tff(pred_def_22,type,
    ring_char_0: 
      !>[X0: $tType] : $o ).

tff(pred_def_23,type,
    neg_numeral: 
      !>[X0: $tType] : $o ).

tff(pred_def_24,type,
    order: 
      !>[X0: $tType] : $o ).

tff(pred_def_25,type,
    comm_ring: 
      !>[X0: $tType] : $o ).

tff(pred_def_26,type,
    mult_zero: 
      !>[X0: $tType] : $o ).

tff(pred_def_27,type,
    semiring_Gcd: 
      !>[X0: $tType] : $o ).

tff(pred_def_28,type,
    semiring_gcd: 
      !>[X0: $tType] : $o ).

tff(pred_def_29,type,
    group_add: 
      !>[X0: $tType] : $o ).

tff(pred_def_30,type,
    lattice: 
      !>[X0: $tType] : $o ).

tff(pred_def_31,type,
    no_bot: 
      !>[X0: $tType] : $o ).

tff(pred_def_32,type,
    no_top: 
      !>[X0: $tType] : $o ).

tff(pred_def_33,type,
    semiring_0: 
      !>[X0: $tType] : $o ).

tff(pred_def_34,type,
    semiring_1: 
      !>[X0: $tType] : $o ).

tff(pred_def_35,type,
    finite_finite: 
      !>[X0: $tType] : $o ).

tff(pred_def_36,type,
    monoid_add: 
      !>[X0: $tType] : $o ).

tff(pred_def_37,type,
    comm_ring_1: 
      !>[X0: $tType] : $o ).

tff(pred_def_38,type,
    idom_divide: 
      !>[X0: $tType] : $o ).

tff(pred_def_39,type,
    idom_modulo: 
      !>[X0: $tType] : $o ).

tff(pred_def_40,type,
    ln: 
      !>[X0: $tType] : $o ).

tff(pred_def_41,type,
    monoid_mult: 
      !>[X0: $tType] : $o ).

tff(pred_def_42,type,
    linorder: 
      !>[X0: $tType] : $o ).

tff(pred_def_43,type,
    preorder: 
      !>[X0: $tType] : $o ).

tff(pred_def_44,type,
    ring_parity: 
      !>[X0: $tType] : $o ).

tff(pred_def_45,type,
    idom_abs_sgn: 
      !>[X0: $tType] : $o ).

tff(pred_def_46,type,
    ordered_ring: 
      !>[X0: $tType] : $o ).

tff(pred_def_47,type,
    zero_neq_one: 
      !>[X0: $tType] : $o ).

tff(pred_def_48,type,
    finite_lattice: 
      !>[X0: $tType] : $o ).

tff(pred_def_49,type,
    field_char_0: 
      !>[X0: $tType] : $o ).

tff(pred_def_50,type,
    ab_group_add: 
      !>[X0: $tType] : $o ).

tff(pred_def_51,type,
    semiring_char_0: 
      !>[X0: $tType] : $o ).

tff(pred_def_52,type,
    order_bot: 
      !>[X0: $tType] : $o ).

tff(pred_def_53,type,
    order_top: 
      !>[X0: $tType] : $o ).

tff(pred_def_54,type,
    wellorder: 
      !>[X0: $tType] : $o ).

tff(pred_def_55,type,
    comm_semiring: 
      !>[X0: $tType] : $o ).

tff(pred_def_56,type,
    zero_less_one: 
      !>[X0: $tType] : $o ).

tff(pred_def_57,type,
    division_ring: 
      !>[X0: $tType] : $o ).

tff(pred_def_58,type,
    field_abs_sgn: 
      !>[X0: $tType] : $o ).

tff(pred_def_59,type,
    semigroup_add: 
      !>[X0: $tType] : $o ).

tff(pred_def_60,type,
    semiring_numeral: 
      !>[X0: $tType] : $o ).

tff(pred_def_61,type,
    semidom_divide: 
      !>[X0: $tType] : $o ).

tff(pred_def_62,type,
    semidom_modulo: 
      !>[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,
    bounded_lattice: 
      !>[X0: $tType] : $o ).

tff(pred_def_82,type,
    distrib_lattice: 
      !>[X0: $tType] : $o ).

tff(pred_def_83,type,
    semilattice_inf: 
      !>[X0: $tType] : $o ).

tff(pred_def_84,type,
    semilattice_sup: 
      !>[X0: $tType] : $o ).

tff(pred_def_85,type,
    dense_linorder: 
      !>[X0: $tType] : $o ).

tff(pred_def_86,type,
    linordered_semidom: 
      !>[X0: $tType] : $o ).

tff(pred_def_87,type,
    ordered_semiring_0: 
      !>[X0: $tType] : $o ).

tff(pred_def_88,type,
    real_Vector_banach: 
      !>[X0: $tType] : $o ).

tff(pred_def_89,type,
    linordered_semiring: 
      !>[X0: $tType] : $o ).

tff(pred_def_90,type,
    comple9053668089753744459l_ccpo: 
      !>[X0: $tType] : $o ).

tff(pred_def_91,type,
    finite8700451911770168679attice: 
      !>[X0: $tType] : $o ).

tff(pred_def_92,type,
    cancel_semigroup_add: 
      !>[X0: $tType] : $o ).

tff(pred_def_93,type,
    ordered_ab_group_add: 
      !>[X0: $tType] : $o ).

tff(pred_def_94,type,
    linord6961819062388156250ring_1: 
      !>[X0: $tType] : $o ).

tff(pred_def_95,type,
    ordere2520102378445227354miring: 
      !>[X0: $tType] : $o ).

tff(pred_def_96,type,
    topological_t1_space: 
      !>[X0: $tType] : $o ).

tff(pred_def_97,type,
    topological_t2_space: 
      !>[X0: $tType] : $o ).

tff(pred_def_98,type,
    topological_t3_space: 
      !>[X0: $tType] : $o ).

tff(pred_def_99,type,
    topological_t4_space: 
      !>[X0: $tType] : $o ).

tff(pred_def_100,type,
    bit_semiring_bits: 
      !>[X0: $tType] : $o ).

tff(pred_def_101,type,
    bounded_lattice_bot: 
      !>[X0: $tType] : $o ).

tff(pred_def_102,type,
    topolo1633459387980952147up_add: 
      !>[X0: $tType] : $o ).

tff(pred_def_103,type,
    comm_s4317794764714335236cancel: 
      !>[X0: $tType] : $o ).

tff(pred_def_104,type,
    linord4710134922213307826strict: 
      !>[X0: $tType] : $o ).

tff(pred_def_105,type,
    cancel1802427076303600483id_add: 
      !>[X0: $tType] : $o ).

tff(pred_def_106,type,
    topolo6943815403480290642id_add: 
      !>[X0: $tType] : $o ).

tff(pred_def_107,type,
    real_V7773925162809079976_field: 
      !>[X0: $tType] : $o ).

tff(pred_def_108,type,
    ring_15535105094025558882visors: 
      !>[X0: $tType] : $o ).

tff(pred_def_109,type,
    cancel2418104881723323429up_add: 
      !>[X0: $tType] : $o ).

tff(pred_def_110,type,
    linord5086331880401160121up_add: 
      !>[X0: $tType] : $o ).

tff(pred_def_111,type,
    ordere6911136660526730532id_add: 
      !>[X0: $tType] : $o ).

tff(pred_def_112,type,
    real_V4867850818363320053vector: 
      !>[X0: $tType] : $o ).

tff(pred_def_113,type,
    archim2362893244070406136eiling: 
      !>[X0: $tType] : $o ).

tff(pred_def_114,type,
    semiri6843258321239162965malize: 
      !>[X0: $tType] : $o ).

tff(pred_def_115,type,
    ordere166539214618696060dd_abs: 
      !>[X0: $tType] : $o ).

tff(pred_def_116,type,
    ordere6658533253407199908up_add: 
      !>[X0: $tType] : $o ).

tff(pred_def_117,type,
    topolo1287966508704411220up_add: 
      !>[X0: $tType] : $o ).

tff(pred_def_118,type,
    real_V7819770556892013058_space: 
      !>[X0: $tType] : $o ).

tff(pred_def_119,type,
    semiri3467727345109120633visors: 
      !>[X0: $tType] : $o ).

tff(pred_def_120,type,
    boolea8198339166811842893lgebra: 
      !>[X0: $tType] : $o ).

tff(pred_def_121,type,
    linord8928482502909563296strict: 
      !>[X0: $tType] : $o ).

tff(pred_def_122,type,
    topolo8386298272705272623_space: 
      !>[X0: $tType] : $o ).

tff(pred_def_123,type,
    topolo7287701948861334536_space: 
      !>[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,
    archim462609752435547400_field: 
      !>[X0: $tType] : $o ).

tff(pred_def_138,type,
    comple5582772986160207858norder: 
      !>[X0: $tType] : $o ).

tff(pred_def_139,type,
    real_V5047593784448816457lgebra: 
      !>[X0: $tType] : $o ).

tff(pred_def_140,type,
    bounde4346867609351753570nf_top: 
      !>[X0: $tType] : $o ).

tff(pred_def_141,type,
    bounde4967611905675639751up_bot: 
      !>[X0: $tType] : $o ).

tff(pred_def_142,type,
    real_V3459762299906320749_field: 
      !>[X0: $tType] : $o ).

tff(pred_def_143,type,
    topolo8865339358273720382pology: 
      !>[X0: $tType] : $o ).

tff(pred_def_144,type,
    topolo1944317154257567458pology: 
      !>[X0: $tType] : $o ).

tff(pred_def_145,type,
    topolo4958980785337419405_space: 
      !>[X0: $tType] : $o ).

tff(pred_def_146,type,
    euclid3725896446679973847miring: 
      !>[X0: $tType] : $o ).

tff(pred_def_147,type,
    canoni5634975068530333245id_add: 
      !>[X0: $tType] : $o ).

tff(pred_def_148,type,
    ordere8940638589300402666id_add: 
      !>[X0: $tType] : $o ).

tff(pred_def_149,type,
    strict7427464778891057005id_add: 
      !>[X0: $tType] : $o ).

tff(pred_def_150,type,
    real_V822414075346904944vector: 
      !>[X0: $tType] : $o ).

tff(pred_def_151,type,
    linord2810124833399127020strict: 
      !>[X0: $tType] : $o ).

tff(pred_def_152,type,
    bit_se359711467146920520ations: 
      !>[X0: $tType] : $o ).

tff(pred_def_153,type,
    ordere2412721322843649153imp_le: 
      !>[X0: $tType] : $o ).

tff(pred_def_154,type,
    ordere580206878836729694up_add: 
      !>[X0: $tType] : $o ).

tff(pred_def_155,type,
    ordere1170586879665033532d_diff: 
      !>[X0: $tType] : $o ).

tff(pred_def_156,type,
    strict9044650504122735259up_add: 
      !>[X0: $tType] : $o ).

tff(pred_def_157,type,
    real_V5355595471888546746vector: 
      !>[X0: $tType] : $o ).

tff(pred_def_158,type,
    real_V4412858255891104859lgebra: 
      !>[X0: $tType] : $o ).

tff(pred_def_159,type,
    semiri6575147826004484403cancel: 
      !>[X0: $tType] : $o ).

tff(pred_def_160,type,
    euclid8851590272496341667cancel: 
      !>[X0: $tType] : $o ).

tff(pred_def_161,type,
    real_V2822296259951069270ebra_1: 
      !>[X0: $tType] : $o ).

tff(pred_def_162,type,
    unique1627219031080169319umeral: 
      !>[X0: $tType] : $o ).

tff(pred_def_163,type,
    comple592849572758109894attice: 
      !>[X0: $tType] : $o ).

tff(pred_def_164,type,
    real_V8999393235501362500lgebra: 
      !>[X0: $tType] : $o ).

tff(pred_def_165,type,
    topolo3112930676232923870pology: 
      !>[X0: $tType] : $o ).

tff(pred_def_166,type,
    euclid4440199948858584721cancel: 
      !>[X0: $tType] : $o ).

tff(pred_def_167,type,
    euclid3128863361964157862miring: 
      !>[X0: $tType] : $o ).

tff(pred_def_168,type,
    topolo8458572112393995274pology: 
      !>[X0: $tType] : $o ).

tff(pred_def_169,type,
    ordere1937475149494474687imp_le: 
      !>[X0: $tType] : $o ).

tff(pred_def_170,type,
    condit5016429287641298734tinuum: 
      !>[X0: $tType] : $o ).

tff(pred_def_171,type,
    euclid5411537665997757685th_nat: 
      !>[X0: $tType] : $o ).

tff(pred_def_172,type,
    counta3822494911875563373attice: 
      !>[X0: $tType] : $o ).

tff(pred_def_173,type,
    semiri1453513574482234551roduct: 
      !>[X0: $tType] : $o ).

tff(pred_def_174,type,
    bit_un5681908812861735899ations: 
      !>[X0: $tType] : $o ).

tff(pred_def_175,type,
    condit1219197933456340205attice: 
      !>[X0: $tType] : $o ).

tff(pred_def_176,type,
    condit6923001295902523014norder: 
      !>[X0: $tType] : $o ).

tff(pred_def_177,type,
    bNF_Ca7293521722713021262ofinal: 
      !>[X0: $tType] : ( ( set(X0) * set(product_prod(X0,X0)) ) > $o ) ).

tff(pred_def_178,type,
    bNF_Ca3754400796208372196lChain: 
      !>[X0: $tType,X1: $tType] : ( ( set(product_prod(X0,X0)) * fun(X0,X1) ) > $o ) ).

tff(pred_def_179,type,
    boolea2506097494486148201lgebra: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,X0)) * fun(X0,fun(X0,X0)) * fun(X0,X0) * X0 * X0 ) > $o ) ).

tff(pred_def_180,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_181,type,
    comple1602240252501008431_chain: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,$o)) * set(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,
    finite6289374366891150609ommute: 
      !>[X0: $tType,X1: $tType] : ( fun(X0,fun(X1,X1)) > $o ) ).

tff(pred_def_192,type,
    finite4664212375090638736ute_on: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,fun(X1,X1)) ) > $o ) ).

tff(pred_def_193,type,
    finite673082921795544331dem_on: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,fun(X1,X1)) ) > $o ) ).

tff(pred_def_194,type,
    finite1890593828518410140dem_on: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,fun(X1,X1)) ) > $o ) ).

tff(pred_def_195,type,
    finite_folding_on: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,fun(X1,X1)) ) > $o ) ).

tff(pred_def_196,type,
    bij_betw: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * set(X0) * set(X1) ) > $o ) ).

tff(pred_def_197,type,
    inj_on: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * set(X0) ) > $o ) ).

tff(pred_def_198,type,
    strict_mono_on: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * set(X0) ) > $o ) ).

tff(pred_def_199,type,
    fun_is_measure: 
      !>[X0: $tType] : ( fun(X0,nat) > $o ) ).

tff(pred_def_200,type,
    fun_reduction_pair: 
      !>[X0: $tType] : ( product_prod(set(product_prod(X0,X0)),set(product_prod(X0,X0))) > $o ) ).

tff(pred_def_201,type,
    nO_MATCH: 
      !>[X0: $tType,X1: $tType] : ( ( X0 * X1 ) > $o ) ).

tff(pred_def_202,type,
    semila1105856199041335345_order: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,X0)) * X0 * fun(X0,fun(X0,$o)) * fun(X0,fun(X0,$o)) ) > $o ) ).

tff(pred_def_203,type,
    bfun: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * filter(X0) ) > $o ) ).

tff(pred_def_204,type,
    distinct: 
      !>[X0: $tType] : ( list(X0) > $o ) ).

tff(pred_def_205,type,
    folding_insort_key: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,fun(X0,$o)) * fun(X0,fun(X0,$o)) * set(X1) * fun(X1,X0) ) > $o ) ).

tff(pred_def_206,type,
    lexordp: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,$o)) * list(X0) * list(X0) ) > $o ) ).

tff(pred_def_207,type,
    listrel1p: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,$o)) * list(X0) * list(X0) ) > $o ) ).

tff(pred_def_208,type,
    sorted_wrt: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,$o)) * list(X0) ) > $o ) ).

tff(pred_def_209,type,
    order_679001287576687338der_on: 
      !>[X0: $tType] : ( ( set(X0) * set(product_prod(X0,X0)) ) > $o ) ).

tff(pred_def_210,type,
    order_7125193373082350890der_on: 
      !>[X0: $tType] : ( ( set(X0) * set(product_prod(X0,X0)) ) > $o ) ).

tff(pred_def_211,type,
    order_antimono: 
      !>[X0: $tType,X1: $tType] : ( fun(X0,X1) > $o ) ).

tff(pred_def_212,type,
    order_mono: 
      !>[X0: $tType,X1: $tType] : ( fun(X0,X1) > $o ) ).

tff(pred_def_213,type,
    order_strict_mono: 
      !>[X0: $tType,X1: $tType] : ( fun(X0,X1) > $o ) ).

tff(pred_def_214,type,
    real_V3181309239436604168linear: 
      !>[X0: $tType,X1: $tType] : ( fun(X0,X1) > $o ) ).

tff(pred_def_215,type,
    irrefl: 
      !>[X0: $tType] : ( set(product_prod(X0,X0)) > $o ) ).

tff(pred_def_216,type,
    refl_on: 
      !>[X0: $tType] : ( ( set(X0) * set(product_prod(X0,X0)) ) > $o ) ).

tff(pred_def_217,type,
    total_on: 
      !>[X0: $tType] : ( ( set(X0) * set(product_prod(X0,X0)) ) > $o ) ).

tff(pred_def_218,type,
    summable: 
      !>[X0: $tType] : ( fun(nat,X0) > $o ) ).

tff(pred_def_219,type,
    sums: 
      !>[X0: $tType] : ( ( fun(nat,X0) * X0 ) > $o ) ).

tff(pred_def_220,type,
    is_singleton: 
      !>[X0: $tType] : ( set(X0) > $o ) ).

tff(pred_def_221,type,
    topolo3448309680560233919inuous: 
      !>[X0: $tType,X1: $tType] : ( ( filter(X0) * fun(X0,X1) ) > $o ) ).

tff(pred_def_222,type,
    topolo81223032696312382ous_on: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,X1) ) > $o ) ).

tff(pred_def_223,type,
    topological_monoseq: 
      !>[X0: $tType] : ( fun(nat,X0) > $o ) ).

tff(pred_def_224,type,
    topolo1002775350975398744n_open: 
      !>[X0: $tType] : ( set(X0) > $o ) ).

tff(pred_def_225,type,
    topolo7761053866217962861closed: 
      !>[X0: $tType] : ( set(X0) > $o ) ).

tff(pred_def_226,type,
    topolo2193935891317330818ompact: 
      !>[X0: $tType] : ( set(X0) > $o ) ).

tff(pred_def_227,type,
    topolo3814608138187158403Cauchy: 
      !>[X0: $tType] : ( fun(nat,X0) > $o ) ).

tff(pred_def_228,type,
    topolo6773858410816713723filter: 
      !>[X0: $tType] : ( filter(X0) > $o ) ).

tff(pred_def_229,type,
    topolo2479028161051973599mplete: 
      !>[X0: $tType] : ( set(X0) > $o ) ).

tff(pred_def_230,type,
    topolo6688025880775521714ounded: 
      !>[X0: $tType] : ( set(X0) > $o ) ).

tff(pred_def_231,type,
    topolo6026614971017936543ous_on: 
      !>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,X1) ) > $o ) ).

tff(pred_def_232,type,
    vEBT_V5917875025757280293ildren: ( nat * list(vEBT_VEBT) * nat ) > $o ).

tff(pred_def_233,type,
    vEBT_VEBT_membermima: ( vEBT_VEBT * nat ) > $o ).

tff(pred_def_234,type,
    vEBT_V5719532721284313246member: ( vEBT_VEBT * nat ) > $o ).

tff(pred_def_235,type,
    vEBT_VEBT_valid: ( vEBT_VEBT * nat ) > $o ).

tff(pred_def_236,type,
    vEBT_invar_vebt: ( vEBT_VEBT * nat ) > $o ).

tff(pred_def_237,type,
    vEBT_VEBT_minNull: vEBT_VEBT > $o ).

tff(pred_def_238,type,
    vEBT_VEBT_greater: ( option(nat) * option(nat) ) > $o ).

tff(pred_def_239,type,
    vEBT_VEBT_less: ( option(nat) * option(nat) ) > $o ).

tff(pred_def_240,type,
    vEBT_VEBT_lesseq: ( option(nat) * option(nat) ) > $o ).

tff(pred_def_241,type,
    vEBT_VEBT_max_in_set: ( set(nat) * nat ) > $o ).

tff(pred_def_242,type,
    vEBT_VEBT_min_in_set: ( set(nat) * nat ) > $o ).

tff(pred_def_243,type,
    accp: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,$o)) * X0 ) > $o ) ).

tff(pred_def_244,type,
    wf: 
      !>[X0: $tType] : ( set(product_prod(X0,X0)) > $o ) ).

tff(pred_def_245,type,
    member: 
      !>[X0: $tType] : ( ( X0 * set(X0) ) > $o ) ).

tff(pred_def_247,type,
    ':=': 
      !>[X0: $tType] : ( ( X0 * X0 ) > $o ) ).

tff(pred_def_248,type,
    iG120: ( nat * $o ) > $o ).

tff(pred_def_249,type,
    iG121: ( nat * $o * $o ) > $o ).

tff(pred_def_250,type,
    iG143: 
      !>[X0: $tType] : ( ( num * X0 * X0 ) > $o ) ).

tff(pred_def_251,type,
    iG144: 
      !>[X0: $tType] : ( ( num * X0 * X0 ) > $o ) ).

tff(pred_def_252,type,
    iG145: 
      !>[X0: $tType] : ( ( X0 * X0 * X0 ) > $o ) ).

tff(pred_def_253,type,
    iG146: 
      !>[X0: $tType] : ( ( X0 * X0 * X0 ) > $o ) ).

tff(pred_def_254,type,
    iG151: 
      !>[X0: $tType] : ( ( X0 * num * X0 ) > $o ) ).

tff(pred_def_255,type,
    iG152: 
      !>[X0: $tType] : ( ( X0 * num * X0 ) > $o ) ).

tff(pred_def_256,type,
    iG184: 
      !>[X0: $tType] : ( ( X0 * X0 * set(X0) * set(X0) ) > $o ) ).

tff(pred_def_257,type,
    iG208: ( int * int * int ) > $o ).

tff(pred_def_258,type,
    iG209: ( int * int * int ) > $o ).

tff(pred_def_259,type,
    iG215: 
      !>[X0: $tType] : ( ( num * X0 * X0 ) > $o ) ).

tff(pred_def_260,type,
    iG216: 
      !>[X0: $tType] : ( ( num * X0 * X0 ) > $o ) ).

tff(pred_def_261,type,
    iG224: 
      !>[X0: $tType] : ( ( X0 * X0 * X0 ) > $o ) ).

tff(pred_def_262,type,
    iG225: 
      !>[X0: $tType] : ( ( X0 * X0 * X0 ) > $o ) ).

tff(pred_def_263,type,
    iG231: 
      !>[X0: $tType] : ( ( X0 * num * X0 ) > $o ) ).

tff(pred_def_264,type,
    iG232: 
      !>[X0: $tType] : ( ( X0 * num * X0 ) > $o ) ).

tff(pred_def_265,type,
    iG279: ( list(vEBT_VEBT) * nat * nat ) > $o ).

tff(pred_def_266,type,
    iG280: ( nat * nat * nat * list(vEBT_VEBT) ) > $o ).

tff(pred_def_267,type,
    iG281: ( nat * nat * nat * nat * list(vEBT_VEBT) ) > $o ).

tff(pred_def_268,type,
    iG282: ( nat * nat * nat * nat * list(vEBT_VEBT) ) > $o ).

tff(pred_def_269,type,
    iG283: ( nat * nat * nat * nat * list(vEBT_VEBT) ) > $o ).

tff(pred_def_270,type,
    iG284: ( nat * $o ) > $o ).

tff(pred_def_271,type,
    iG285: ( nat * $o * $o ) > $o ).

tff(pred_def_272,type,
    iG299: ( list(vEBT_VEBT) * nat * nat ) > $o ).

tff(pred_def_273,type,
    iG301: ( list(vEBT_VEBT) * nat * nat ) > $o ).

tff(pred_def_274,type,
    iG309: ( list(vEBT_VEBT) * nat * nat ) > $o ).

tff(pred_def_275,type,
    iG311: ( list(vEBT_VEBT) * nat * nat ) > $o ).

tff(pred_def_276,type,
    iG312: ( nat * $o ) > $o ).

tff(pred_def_277,type,
    iG313: ( nat * $o * $o ) > $o ).

tff(pred_def_278,type,
    iG317: ( list(vEBT_VEBT) * nat * nat ) > $o ).

tff(pred_def_279,type,
    iG318: ( nat * $o ) > $o ).

tff(pred_def_280,type,
    iG319: ( nat * $o * $o ) > $o ).

tff(pred_def_281,type,
    iG323: ( list(vEBT_VEBT) * nat * nat ) > $o ).

tff(pred_def_282,type,
    iG324: ( nat * $o ) > $o ).

tff(pred_def_283,type,
    iG325: ( nat * $o * $o ) > $o ).

tff(pred_def_284,type,
    iG329: ( list(vEBT_VEBT) * nat * nat ) > $o ).

tff(pred_def_285,type,
    iG331: ( list(vEBT_VEBT) * nat * nat ) > $o ).

tff(pred_def_286,type,
    iG338: ( list(vEBT_VEBT) * nat * nat ) > $o ).

tff(pred_def_287,type,
    iG339: ( nat * nat * nat * list(vEBT_VEBT) ) > $o ).

tff(pred_def_288,type,
    iG340: ( nat * nat * nat * nat * list(vEBT_VEBT) ) > $o ).

tff(pred_def_289,type,
    iG341: ( nat * nat * nat * nat * list(vEBT_VEBT) ) > $o ).

tff(pred_def_290,type,
    iG342: ( nat * nat * nat * nat * list(vEBT_VEBT) ) > $o ).

tff(pred_def_291,type,
    iG343: ( nat * $o ) > $o ).

tff(pred_def_292,type,
    iG344: ( nat * $o * $o ) > $o ).

tff(pred_def_293,type,
    iG348: ( list(vEBT_VEBT) * nat * nat ) > $o ).

tff(pred_def_294,type,
    iG350: ( list(vEBT_VEBT) * nat * nat ) > $o ).

tff(pred_def_295,type,
    iG354: ( list(vEBT_VEBT) * nat * nat ) > $o ).

tff(pred_def_296,type,
    iG356: ( list(vEBT_VEBT) * nat * nat ) > $o ).

tff(pred_def_297,type,
    iG360: ( list(vEBT_VEBT) * nat * nat ) > $o ).

tff(pred_def_298,type,
    iG361: ( nat * nat * nat * list(vEBT_VEBT) ) > $o ).

tff(pred_def_299,type,
    iG362: ( nat * nat * nat * nat * list(vEBT_VEBT) ) > $o ).

tff(pred_def_300,type,
    iG363: ( nat * nat * nat * nat * list(vEBT_VEBT) ) > $o ).

tff(pred_def_301,type,
    iG364: ( nat * nat * nat * nat * list(vEBT_VEBT) ) > $o ).

tff(pred_def_302,type,
    iG365: ( nat * $o ) > $o ).

tff(pred_def_303,type,
    iG366: ( nat * $o * $o ) > $o ).

tff(pred_def_304,type,
    iG388: ( list(vEBT_VEBT) * nat * nat ) > $o ).

tff(pred_def_305,type,
    iG389: ( nat * nat * nat * list(vEBT_VEBT) ) > $o ).

tff(pred_def_306,type,
    iG390: ( nat * nat * nat * nat * list(vEBT_VEBT) ) > $o ).

tff(pred_def_307,type,
    iG391: ( nat * nat * nat * nat * list(vEBT_VEBT) ) > $o ).

tff(pred_def_308,type,
    iG392: ( nat * nat * nat * nat * list(vEBT_VEBT) ) > $o ).

tff(pred_def_309,type,
    iG393: ( nat * $o ) > $o ).

tff(pred_def_310,type,
    iG394: ( nat * $o * $o ) > $o ).

tff(pred_def_311,type,
    iG400: ( list(vEBT_VEBT) * nat * nat ) > $o ).

tff(pred_def_312,type,
    iG401: ( nat * nat * nat * list(vEBT_VEBT) ) > $o ).

tff(pred_def_313,type,
    iG402: ( nat * nat * nat * nat * list(vEBT_VEBT) ) > $o ).

tff(pred_def_314,type,
    iG403: ( nat * nat * nat * nat * list(vEBT_VEBT) ) > $o ).

tff(pred_def_315,type,
    iG404: ( nat * nat * nat * nat * list(vEBT_VEBT) ) > $o ).

tff(pred_def_316,type,
    iG405: ( nat * $o ) > $o ).

tff(pred_def_317,type,
    iG406: ( nat * $o * $o ) > $o ).

tff(pred_def_318,type,
    iG423: ( list(vEBT_VEBT) * nat * nat ) > $o ).

tff(pred_def_319,type,
    iG424: ( nat * $o ) > $o ).

tff(pred_def_320,type,
    iG425: ( nat * $o * $o ) > $o ).

tff(pred_def_321,type,
    iG431: ( list(vEBT_VEBT) * nat * nat ) > $o ).

tff(pred_def_322,type,
    iG432: ( nat * $o ) > $o ).

tff(pred_def_323,type,
    iG433: ( nat * $o * $o ) > $o ).

tff(pred_def_324,type,
    iG439: ( list(vEBT_VEBT) * nat * nat ) > $o ).

tff(pred_def_325,type,
    iG441: ( list(vEBT_VEBT) * nat * nat ) > $o ).

tff(pred_def_326,type,
    iG450: ( list(vEBT_VEBT) * nat * nat ) > $o ).

tff(pred_def_327,type,
    iG456: ( list(vEBT_VEBT) * nat * nat ) > $o ).

tff(pred_def_328,type,
    iG458: ( list(vEBT_VEBT) * nat * nat ) > $o ).

tff(pred_def_329,type,
    iG508: 
      !>[X0: $tType] : ( ( real * X0 * real * X0 ) > $o ) ).

tff(pred_def_330,type,
    iG509: 
      !>[X0: $tType] : ( ( real * X0 * X0 * real ) > $o ) ).

tff(pred_def_331,type,
    iG527: ( int * nat ) > $o ).

tff(pred_def_332,type,
    iG528: ( int * nat ) > $o ).

tff(pred_def_333,type,
    iG739: ( real * real * real ) > $o ).

tff(pred_def_334,type,
    iG788: 
      !>[X0: $tType] : ( ( list(list(X0)) * list(X0) * list(X0) ) > $o ) ).

tff(pred_def_335,type,
    iG796: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) * list(X0) * list(X0) ) > $o ) ).

tff(pred_def_336,type,
    iG908: ( nat * nat * list(vEBT_VEBT) * nat * nat ) > $o ).

tff(pred_def_337,type,
    sP913: ( nat * nat * list(vEBT_VEBT) * nat * nat ) > $o ).

tff(pred_def_338,type,
    sP914: ( vEBT_VEBT * list(vEBT_VEBT) * nat ) > $o ).

tff(pred_def_339,type,
    sP915: ( nat * nat * list(vEBT_VEBT) * nat * nat ) > $o ).

tff(pred_def_340,type,
    sP916: ( vEBT_VEBT * list(vEBT_VEBT) * nat ) > $o ).

tff(pred_def_341,type,
    sP917: ( fun(real,fun(real,$o)) * real * real ) > $o ).

tff(pred_def_342,type,
    sP918: ( fun(int,$o) * int * int ) > $o ).

tff(f1,axiom,
    ? [X7: nat] : aa(nat,$o,vEBT_V8194947554948674370ptions(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,treeList),maxs)),X7),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_0__092_060open_062_092_060exists_062x_O_Aboth__member__options_A_ItreeList_A_B_Amaxs_J_Ax_092_060close_062) ).

tff(f503,axiom,
    ! [X0: $tType,X1: fun(X0,$o),X2: X0,X3: fun(X0,nat)] :
      ( aa(X0,$o,X1,X2)
     => ? [X4: X0] :
          ( aa(X0,$o,X1,X4)
          & ! [X5: X0] :
              ( aa(X0,$o,X1,X5)
             => aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),aa(X0,nat,X3,X4)),aa(X0,nat,X3,X5)) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_502_ex__has__least__nat) ).

tff(f10021,axiom,
    ! [X0: nat] :
      ( aa(nat,$o,vEBT_V8194947554948674370ptions(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,treeList),maxs)),X0)
     => thesis ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0) ).

tff(f10022,conjecture,
    thesis,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_1) ).

tff(f10023,negated_conjecture,
    ~ thesis,
    inference(negated_conjecture,[status(cth)],[f10022]) ).

tff(f10024,plain,
    ? [X0: nat] : aa(nat,$o,vEBT_V8194947554948674370ptions(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,treeList),maxs)),X0),
    inference(rectify,[],[f1]) ).

tff(f10025,plain,
    ? [X0: nat] : ( aa(nat,$o,vEBT_V8194947554948674370ptions(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,treeList),maxs)),X0) = $true ),
    inference(fool_elimination,[],[f10024]) ).

tff(f10789,plain,
    ! [X0: $tType,X1: fun(X0,$o),X2: X0,X3: fun(X0,nat)] :
      ( aa(X0,$o,X1,X2)
     => ? [X4: X0] :
          ( aa(X0,$o,X1,X4)
          & ! [X5: X0] :
              ( aa(X0,$o,X1,X5)
             => aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),aa(X0,nat,X3,X4)),aa(X0,nat,X3,X5)) ) ) ),
    inference(rectify,[],[f503]) ).

tff(f10790,plain,
    ! [X0: $tType,X1: fun(X0,$o),X2: X0,X3: fun(X0,nat)] :
      ( ( aa(X0,$o,X1,X2) = $true )
     => ? [X4: X0] :
          ( ( aa(X0,$o,X1,X4) = $true )
          & ! [X5: X0] :
              ( ( aa(X0,$o,X1,X5) = $true )
             => ( aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),aa(X0,nat,X3,X4)),aa(X0,nat,X3,X5)) = $true ) ) ) ),
    inference(fool_elimination,[],[f10789]) ).

tff(f20811,plain,
    ! [X0: nat] :
      ( aa(nat,$o,vEBT_V8194947554948674370ptions(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,treeList),maxs)),X0)
     => thesis ),
    inference(rectify,[],[f10021]) ).

tff(f20812,plain,
    ! [X0: nat] :
      ( ( aa(nat,$o,vEBT_V8194947554948674370ptions(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,treeList),maxs)),X0) = $true )
     => thesis ),
    inference(fool_elimination,[],[f20811]) ).

tff(f20813,plain,
    ~ thesis,
    inference(flattening,[],[f10023]) ).

tff(f20900,plain,
    ! [X0: nat] :
      ( thesis
      | ( aa(nat,$o,vEBT_V8194947554948674370ptions(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,treeList),maxs)),X0) != $true ) ),
    inference(ennf_transformation,[],[f20812]) ).

tff(f21353,plain,
    ! [X0: $tType,X1: fun(X0,$o),X2: X0,X3: fun(X0,nat)] :
      ( ? [X4: X0] :
          ( ( aa(X0,$o,X1,X4) = $true )
          & ! [X5: X0] :
              ( ( aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),aa(X0,nat,X3,X4)),aa(X0,nat,X3,X5)) = $true )
              | ( aa(X0,$o,X1,X5) != $true ) ) )
      | ( aa(X0,$o,X1,X2) != $true ) ),
    inference(ennf_transformation,[],[f10790]) ).

tff(f21540,plain,
    $true = aa(nat,$o,vEBT_V8194947554948674370ptions(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,treeList),maxs)),sK954),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK954]),skolemize(X0,sK954)],[f10025]) ).

tff(f21936,plain,
    ! [X0: $tType,X1: fun(X0,$o),X2: X0,X3: fun(X0,nat)] :
      ( ( ( $true = aa(X0,$o,X1,sK1267(X0,X1,X3)) )
        & ! [X5: X0] :
            ( ( $true = aa(nat,$o,aa(nat,fun(nat,$o),ord_less_eq(nat),aa(X0,nat,X3,sK1267(X0,X1,X3))),aa(X0,nat,X3,X5)) )
            | ( aa(X0,$o,X1,X5) != $true ) ) )
      | ( aa(X0,$o,X1,X2) != $true ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK1267]),skolemize(X4,sK1267(X0,X1,X3))],[f21353]) ).

tff(f22046,plain,
    ! [X0: nat] :
      ( thesis
      | ( aa(nat,$o,vEBT_V8194947554948674370ptions(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,treeList),maxs)),X0) != $true ) ),
    inference(cnf_transformation,[],[f20900]) ).

tff(f22047,plain,
    ~ thesis,
    inference(cnf_transformation,[],[f20813]) ).

tff(f22155,plain,
    $true = aa(nat,$o,vEBT_V8194947554948674370ptions(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,treeList),maxs)),sK954),
    inference(cnf_transformation,[],[f21540]) ).

tff(f23117,plain,
    ! [X0: $tType,X2: X0,X3: fun(X0,nat),X1: fun(X0,$o)] :
      ( ( aa(X0,$o,X1,X2) != $true )
      | ( $true = aa(X0,$o,X1,sK1267(X0,X1,X3)) ) ),
    inference(cnf_transformation,[],[f21936]) ).

tff(f23688,definition,
    ( spl1392_1
  <=> ! [X0: nat] : ( aa(nat,$o,vEBT_V8194947554948674370ptions(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,treeList),maxs)),X0) != $true ) ),
    introduced(definition,[new_symbols(definition,[spl1392_1])],[avatar_definition]) ).

tff(f23689,plain,
    ( ! [X0: nat] : ( aa(nat,$o,vEBT_V8194947554948674370ptions(aa(nat,vEBT_VEBT,nth(vEBT_VEBT,treeList),maxs)),X0) != $true )
    | ~ spl1392_1 ),
    inference(avatar_component_clause,[],[f23688]) ).

tff(f23691,definition,
    ( spl1392_2
  <=> thesis ),
    introduced(definition,[new_symbols(definition,[spl1392_2])],[avatar_definition]) ).

tff(f23694,plain,
    ( spl1392_1
    | spl1392_2 ),
    inference(avatar_split_clause,[],[f22046,f23691,f23688]) ).

tff(f23695,plain,
    ~ spl1392_2,
    inference(avatar_split_clause,[],[f22047,f23691]) ).

tff(f23782,plain,
    ( $false
    | ~ spl1392_1 ),
    inference(unit_resulting_resolution,[],[f23117,f22155,f23689]) ).

tff(f23878,plain,
    ~ spl1392_1,
    inference(avatar_contradiction_clause,[],[f23782]) ).

cnf(s1,plain,
    ( spl1392_1
    | spl1392_2 ),
    inference(sat_conversion,[],[f23694]) ).

cnf(s2,plain,
    ~ spl1392_2,
    inference(sat_conversion,[],[f23695]) ).

cnf(s90,plain,
    ~ spl1392_1,
    inference(sat_conversion,[],[f23878]) ).

cnf(s91,plain,
    $false,
    inference(rat,[],[s1,s2,s90]) ).

tff(f23879,plain,
    $false,
    inference(avatar_sat_refutation,[],[s91]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : ITP236_4 : TPTP v9.3.1. Bugfixed v9.3.0.
% 0.00/0.06  % Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.39  % Computer : n018.cluster.edu
% 0.12/0.39  % Model    : x86_64 x86_64
% 0.12/0.39  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.39  % Memory   : 8046.5625MB
% 0.12/0.39  % OS       : Linux 6.8.0-71-generic
% 0.12/0.39  % CPULimit : 300
% 0.12/0.39  % WCLimit  : 300
% 0.12/0.39  % DateTime : Sun Sep 27 12:34:10 UTC 2026
% 0.12/0.39  % CPUTime  : 
% 0.12/0.39  Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.43  Running first-order theorem proving
% 0.12/0.43  Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 10.84/3.42  % (2283021)Detected formulas, will run a generic FOF schedule.
% 10.84/3.42  % (2283058)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=1038962683:i=141695:sd=1:nm=32:gsp=on:ss=included_2988 on theBenchmark for (2988ds/141695Mi)
% 10.84/3.42  % (2283059)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=4163444559:i=109:sd=1:ins=1:gsp=on:ss=axioms_2988 on theBenchmark for (2988ds/109Mi)
% 10.84/3.42  % (2283061)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3088493456:s2a=on:i=139:gtg=position_2988 on theBenchmark for (2988ds/139Mi)
% 10.84/3.42  % (2283060)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=530011953:i=119:av=off:ss=axioms_2988 on theBenchmark for (2988ds/119Mi)
% 10.84/3.42  % (2283062)dis-21_1_sil=8000:lcm=predicate:random_seed=1826510700: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)
% 10.84/3.42  % (2283056)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=3140312159:i=141193_2988 on theBenchmark for (2988ds/141193Mi)
% 10.84/3.42  % (2283057)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=2743191676:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2988 on theBenchmark for (2988ds/134677Mi)
% 10.84/3.42  % (2283059)Instruction limit reached! 
% 10.84/3.42  % (2283059)------------------------------
% 10.84/3.42  % (2283059)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.84/3.42  % (2283059)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.84/3.42  % (2283059)CaDiCaL version: 2.1.3
% 10.84/3.42  % (2283059)Termination reason: Instruction limit
% 10.84/3.42  % (2283059)Termination phase: Initialization
% 10.84/3.42  % (2283059)Time elapsed: 0.052 s
% 10.84/3.42  % (2283059)Peak memory usage: 99 MB
% 10.84/3.42  % (2283059)Instructions burned: 109 (million)
% 10.84/3.42  % (2283061)Instruction limit reached! 
% 10.84/3.42  % (2283061)------------------------------
% 10.84/3.42  % (2283061)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.84/3.42  % (2283061)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.84/3.42  % (2283061)CaDiCaL version: 2.1.3
% 10.84/3.42  % (2283061)Termination reason: Instruction limit
% 10.84/3.42  % (2283061)Termination phase: Property scanning
% 10.84/3.42  % (2283061)Time elapsed: 0.055 s
% 10.84/3.42  % (2283061)Peak memory usage: 96 MB
% 10.84/3.42  % (2283061)Instructions burned: 141 (million)
% 10.84/3.42  % (2283060)Instruction limit reached! 
% 10.84/3.42  % (2283060)------------------------------
% 10.84/3.42  % (2283060)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.84/3.42  % (2283060)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.84/3.42  % (2283060)CaDiCaL version: 2.1.3
% 10.84/3.42  % (2283060)Termination reason: Instruction limit
% 10.84/3.42  % (2283060)Termination phase: Initialization
% 10.84/3.42  % (2283060)Time elapsed: 0.056 s
% 10.84/3.42  % (2283060)Peak memory usage: 99 MB
% 10.84/3.42  % (2283060)Instructions burned: 119 (million)
% 10.84/3.42  % (2283062)Instruction limit reached! 
% 10.84/3.42  % (2283062)------------------------------
% 10.84/3.42  % (2283062)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.84/3.42  % (2283062)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.84/3.42  % (2283062)CaDiCaL version: 2.1.3
% 10.84/3.42  % (2283062)Termination reason: Instruction limit
% 10.84/3.42  % (2283062)Termination phase: Initialization
% 10.84/3.42  % (2283062)Time elapsed: 0.062 s
% 10.84/3.42  % (2283062)Peak memory usage: 100 MB
% 10.84/3.42  % (2283062)Instructions burned: 130 (million)
% 10.84/3.42  % (2283098)lrs+10_1_sil=8000:sp=occurrence:random_seed=3758766677:i=285:sd=3:ss=axioms:sgt=8_2986 on theBenchmark for (2986ds/285Mi)
% 10.84/3.42  % (2283102)lrs+1011_1_sil=32000:sp=occurrence:random_seed=2195041949:i=325:sd=1:ss=axioms:sgt=32_2986 on theBenchmark for (2986ds/325Mi)
% 10.84/3.42  % (2283099)lrs+10_1_sil=32000:urr=on:br=off:random_seed=1568682603:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2986 on theBenchmark for (2986ds/157Mi)
% 10.84/3.42  % (2283107)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=1440779910:s2a=on:i=248:s2at=1.23:gtg=position_2986 on theBenchmark for (2986ds/248Mi)
% 10.84/3.42  % (2283099)Instruction limit reached! 
% 13.28/3.89  % (2283099)------------------------------
% 13.28/3.89  % (2283099)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.28/3.89  % (2283099)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.28/3.89  % (2283099)CaDiCaL version: 2.1.3
% 13.28/3.89  % (2283099)Termination reason: Instruction limit
% 13.28/3.89  % (2283099)Termination phase: Property scanning
% 13.28/3.89  % (2283099)Time elapsed: 0.063 s
% 13.28/3.89  % (2283099)Peak memory usage: 96 MB
% 13.28/3.89  % (2283099)Instructions burned: 159 (million)
% 13.28/3.89  % (2283107)Instruction limit reached! 
% 13.28/3.89  % (2283107)------------------------------
% 13.28/3.89  % (2283107)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.28/3.89  % (2283107)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.28/3.89  % (2283107)CaDiCaL version: 2.1.3
% 13.28/3.89  % (2283107)Termination reason: Instruction limit
% 13.28/3.89  % (2283107)Termination phase: Property scanning
% 13.28/3.89  % (2283107)Time elapsed: 0.099 s
% 13.28/3.89  % (2283107)Peak memory usage: 96 MB
% 13.28/3.89  % (2283107)Instructions burned: 249 (million)
% 13.28/3.89  % (2283098)Instruction limit reached! 
% 13.28/3.89  % (2283098)------------------------------
% 13.28/3.89  % (2283098)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.28/3.89  % (2283098)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.28/3.89  % (2283098)CaDiCaL version: 2.1.3
% 13.28/3.89  % (2283098)Termination reason: Instruction limit
% 13.28/3.89  % (2283098)Termination phase: Initialization
% 13.28/3.89  % (2283098)Time elapsed: 0.139 s
% 13.28/3.89  % (2283098)Peak memory usage: 103 MB
% 13.28/3.89  % (2283098)Instructions burned: 285 (million)
% 13.28/3.89  % (2283102)Instruction limit reached! 
% 13.28/3.89  % (2283102)------------------------------
% 13.28/3.89  % (2283102)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.28/3.89  % (2283102)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.28/3.89  % (2283102)CaDiCaL version: 2.1.3
% 13.28/3.89  % (2283102)Termination reason: Instruction limit
% 13.28/3.89  % (2283102)Termination phase: Initialization
% 13.28/3.89  % (2283102)Time elapsed: 0.160 s
% 13.28/3.89  % (2283102)Peak memory usage: 104 MB
% 13.28/3.89  % (2283102)Instructions burned: 325 (million)
% 13.28/3.89  % (2283117)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=3323499428:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2984 on theBenchmark for (2984ds/294Mi)
% 13.28/3.89  % (2283118)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=885461898:i=2350_2984 on theBenchmark for (2984ds/2350Mi)
% 13.28/3.89  % (2283119)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=3326014822:cts=off:i=113:fsr=off:ss=included:sgt=4_2984 on theBenchmark for (2984ds/113Mi)
% 13.28/3.89  % (2283120)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=2096682339:i=127:av=off:fsr=off:sup=off_2983 on theBenchmark for (2983ds/127Mi)
% 13.28/3.89  % (2283119)Instruction limit reached! 
% 13.28/3.89  % (2283119)------------------------------
% 13.28/3.89  % (2283119)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.28/3.89  % (2283119)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.28/3.89  % (2283119)CaDiCaL version: 2.1.3
% 13.28/3.89  % (2283119)Termination reason: Instruction limit
% 13.28/3.89  % (2283119)Termination phase: Initialization
% 13.28/3.89  % (2283119)Time elapsed: 0.055 s
% 13.28/3.89  % (2283119)Peak memory usage: 99 MB
% 13.28/3.89  % (2283119)Instructions burned: 113 (million)
% 13.28/3.89  % (2283117)Instruction limit reached! 
% 13.28/3.89  % (2283117)------------------------------
% 13.28/3.89  % (2283117)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.28/3.89  % (2283117)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.28/3.89  % (2283117)CaDiCaL version: 2.1.3
% 13.28/3.89  % (2283117)Termination reason: Instruction limit
% 13.28/3.89  % (2283117)Termination phase: Initialization
% 13.28/3.89  % (2283117)Time elapsed: 0.145 s
% 13.28/3.89  % (2283117)Peak memory usage: 104 MB
% 13.28/3.89  % (2283117)Instructions burned: 294 (million)
% 13.28/3.89  % (2283120)Instruction limit reached! 
% 13.28/3.89  % (2283120)------------------------------
% 13.28/3.89  % (2283120)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.28/3.89  % (2283120)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.28/3.89  % (2283120)CaDiCaL version: 2.1.3
% 17.66/4.47  % (2283120)Termination reason: Instruction limit
% 17.66/4.47  % (2283120)Termination phase: Initialization
% 17.66/4.47  % (2283120)Time elapsed: 0.062 s
% 17.66/4.47  % (2283120)Peak memory usage: 100 MB
% 17.66/4.47  % (2283120)Instructions burned: 127 (million)
% 17.66/4.47  % (2283126)lrs+10_1_sil=8000:sp=occurrence:random_seed=2776755954:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2982 on theBenchmark for (2982ds/907Mi)
% 17.66/4.47  % (2283125)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=334564717:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2982 on theBenchmark for (2982ds/114Mi)
% 17.66/4.47  % (2283127)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=2539641154:i=437:sd=1:aac=none:ss=included_2981 on theBenchmark for (2981ds/437Mi)
% 17.66/4.47  % (2283058)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 17.66/4.47  % (2283125)Instruction limit reached! 
% 17.66/4.47  % (2283125)------------------------------
% 17.66/4.47  % (2283125)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.66/4.47  % (2283125)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.66/4.47  % (2283125)CaDiCaL version: 2.1.3
% 17.66/4.47  % (2283125)Termination reason: Instruction limit
% 17.66/4.47  % (2283125)Termination phase: Property scanning
% 17.66/4.47  % (2283125)Time elapsed: 0.047 s
% 17.66/4.47  % (2283125)Peak memory usage: 96 MB
% 17.66/4.47  % (2283125)Instructions burned: 116 (million)
% 17.66/4.47  % (2283131)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=3435446042:i=5202:ss=axioms:sgt=16_2980 on theBenchmark for (2980ds/5202Mi)
% 17.66/4.47  % Exception at run slice level
% 17.66/4.47  User error: GNN currently only supports monomorphic FOL.
% 17.66/4.47  % (2283127)Instruction limit reached! 
% 17.66/4.47  % (2283127)------------------------------
% 17.66/4.47  % (2283127)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.66/4.47  % (2283127)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.66/4.47  % (2283127)CaDiCaL version: 2.1.3
% 17.66/4.47  % (2283127)Termination reason: Instruction limit
% 17.66/4.47  % (2283127)Termination phase: Property scanning
% 17.66/4.47  % (2283127)Time elapsed: 0.213 s
% 17.66/4.47  % (2283127)Peak memory usage: 106 MB
% 17.66/4.47  % (2283127)Instructions burned: 437 (million)
% 17.66/4.47  % (2283133)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=2325954068:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2978 on theBenchmark for (2978ds/134Mi)
% 17.66/4.47  % (2283133)Instruction limit reached! 
% 17.66/4.47  % (2283133)------------------------------
% 17.66/4.47  % (2283133)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.66/4.47  % (2283133)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.66/4.47  % (2283133)CaDiCaL version: 2.1.3
% 17.66/4.47  % (2283133)Termination reason: Instruction limit
% 17.66/4.47  % (2283133)Termination phase: Preprocessing 1
% 17.66/4.47  % (2283133)Time elapsed: 0.053 s
% 17.66/4.47  % (2283133)Peak memory usage: 97 MB
% 17.66/4.47  % (2283133)Instructions burned: 137 (million)
% 17.66/4.47  % (2283134)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=3173780247:st=8:i=592:sd=3:ep=RST:ss=axioms_2978 on theBenchmark for (2978ds/592Mi)
% 17.66/4.47  % (2283126)Instruction limit reached! 
% 17.66/4.47  % (2283126)------------------------------
% 17.66/4.47  % (2283126)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.66/4.47  % (2283126)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.66/4.47  % (2283126)CaDiCaL version: 2.1.3
% 17.66/4.47  % (2283126)Termination reason: Instruction limit
% 17.66/4.47  % (2283126)Termination phase: Preprocessing 1
% 17.66/4.47  % (2283126)Time elapsed: 0.450 s
% 17.66/4.47  % (2283126)Peak memory usage: 107 MB
% 17.66/4.47  % (2283126)Instructions burned: 907 (million)
% 17.66/4.47  % (2283136)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=4265643357:st=3:i=13193:sd=3:ss=axioms_2977 on theBenchmark for (2977ds/13193Mi)
% 17.66/4.47  % (2283138)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=2230515315:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2976 on theBenchmark for (2976ds/125Mi)
% 17.66/4.47  % (2283138)Instruction limit reached! 
% 17.66/4.47  % (2283138)------------------------------
% 17.66/4.47  % (2283138)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.66/4.47  % (2283138)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.80/5.99  % (2283138)CaDiCaL version: 2.1.3
% 27.80/5.99  % (2283138)Termination reason: Instruction limit
% 27.80/5.99  % (2283138)Termination phase: Property scanning
% 27.80/5.99  % (2283138)Time elapsed: 0.049 s
% 27.80/5.99  % (2283138)Peak memory usage: 96 MB
% 27.80/5.99  % (2283138)Instructions burned: 127 (million)
% 27.80/5.99  % (2283134)Instruction limit reached! 
% 27.80/5.99  % (2283134)------------------------------
% 27.80/5.99  % (2283134)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 27.80/5.99  % (2283134)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.80/5.99  % (2283134)CaDiCaL version: 2.1.3
% 27.80/5.99  % (2283134)Termination reason: Instruction limit
% 27.80/5.99  % (2283134)Termination phase: Property scanning
% 27.80/5.99  % (2283134)Time elapsed: 0.276 s
% 27.80/5.99  % (2283134)Peak memory usage: 106 MB
% 27.80/5.99  % (2283134)Instructions burned: 594 (million)
% 27.80/5.99  % (2283142)lrs+10_1024_to=lpo:sil=8000:tgt=full:sp=arity:slsq=on:random_seed=3942338590:i=134:gtgl=5:slsql=off:gtg=exists_sym_2974 on theBenchmark for (2974ds/134Mi)
% 27.80/5.99  % (2283143)lrs+10_1_sil=16000:plsq=on:plsqc=1:plsqr=32,1:sos=on:lcm=reverse:fd=off:newcnf=on:random_seed=1607643978:i=141:sd=1:gsp=on:sup=off:ss=axioms:sgt=8_2974 on theBenchmark for (2974ds/141Mi)
% 27.80/5.99  % (2283142)Instruction limit reached! 
% 27.80/5.99  % (2283142)------------------------------
% 27.80/5.99  % (2283142)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 27.80/5.99  % (2283142)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.80/5.99  % (2283142)CaDiCaL version: 2.1.3
% 27.80/5.99  % (2283142)Termination reason: Instruction limit
% 27.80/5.99  % (2283142)Termination phase: Property scanning
% 27.80/5.99  % (2283142)Time elapsed: 0.053 s
% 27.80/5.99  % (2283142)Peak memory usage: 96 MB
% 27.80/5.99  % (2283142)Instructions burned: 136 (million)
% 27.80/5.99  % (2283118)Instruction limit reached! 
% 27.80/5.99  % (2283118)------------------------------
% 27.80/5.99  % (2283118)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 27.80/5.99  % (2283118)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.80/5.99  % (2283118)CaDiCaL version: 2.1.3
% 27.80/5.99  % (2283118)Termination reason: Instruction limit
% 27.80/5.99  % (2283118)Termination phase: Property scanning
% 27.80/5.99  % (2283118)Time elapsed: 1.124 s
% 27.80/5.99  % (2283118)Peak memory usage: 124 MB
% 27.80/5.99  % (2283118)Instructions burned: 2352 (million)
% 27.80/5.99  % Exception at run slice level
% 27.80/5.99  User error: GNN currently only supports monomorphic FOL.
% 27.80/5.99  % (2283143)Instruction limit reached! 
% 27.80/5.99  % (2283143)------------------------------
% 27.80/5.99  % (2283143)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 27.80/5.99  % (2283143)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.80/5.99  % (2283143)CaDiCaL version: 2.1.3
% 27.80/5.99  % (2283143)Termination reason: Instruction limit
% 27.80/5.99  % (2283143)Termination phase: Property scanning
% 27.80/5.99  % (2283143)Time elapsed: 0.092 s
% 27.80/5.99  % (2283143)Peak memory usage: 98 MB
% 27.80/5.99  % (2283143)Instructions burned: 143 (million)
% 27.80/5.99  % (2283146)lrs+1011_1_sil=8000:plsq=on:sp=occurrence:fs=off:random_seed=3868785669:i=431:sd=1:fsr=off:sup=off:ss=axioms:sgt=64_2972 on theBenchmark for (2972ds/431Mi)
% 27.80/5.99  % (2283147)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=2057491853:i=6060:aac=none:ins=25_2971 on theBenchmark for (2971ds/6060Mi)
% 27.80/5.99  % (2283149)lrs+1010_1_ncem=casc2026/models/loop8.pt:sil=64000:tgt=ground:npcc=on:sp=arity:urr=on:random_seed=760554237:i=14155:bd=all_2971 on theBenchmark for (2971ds/14155Mi)
% 27.80/5.99  % (2283148)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=1628040674:avsq=on:s2a=on:i=150:kws=precedence:nicw=on:gsp=on:rawr=on_2971 on theBenchmark for (2971ds/150Mi)
% 27.80/5.99  % (2283148)Instruction limit reached! 
% 27.80/5.99  % (2283148)------------------------------
% 27.80/5.99  % (2283148)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 27.80/5.99  % (2283148)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.80/5.99  % (2283148)CaDiCaL version: 2.1.3
% 27.80/5.99  % (2283148)Termination reason: Instruction limit
% 27.80/5.99  % (2283148)Termination phase: Initialization
% 31.36/6.42  % (2283148)Time elapsed: 0.071 s
% 31.36/6.42  % (2283148)Peak memory usage: 100 MB
% 31.36/6.42  % (2283148)Instructions burned: 151 (million)
% 31.36/6.42  % Exception at run slice level
% 31.36/6.42  User error: GNN currently only supports monomorphic FOL.
% 31.36/6.42  % (2283146)Instruction limit reached! 
% 31.36/6.42  % (2283146)------------------------------
% 31.36/6.42  % (2283146)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 31.36/6.42  % (2283146)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 31.36/6.42  % (2283146)CaDiCaL version: 2.1.3
% 31.36/6.42  % (2283146)Termination reason: Instruction limit
% 31.36/6.42  % (2283146)Termination phase: Property scanning
% 31.36/6.42  % (2283146)Time elapsed: 0.213 s
% 31.36/6.42  % (2283146)Peak memory usage: 106 MB
% 31.36/6.42  % (2283146)Instructions burned: 432 (million)
% 31.36/6.42  % (2283155)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=3380720311:s2a=on:i=185:s2at=1.8:fdi=4_2969 on theBenchmark for (2969ds/185Mi)
% 31.36/6.42  % (2283154)lrs+10_1024_sil=16000:plsq=on:plsqr=32,1:sos=all:fs=off:gs=on:newcnf=on:random_seed=1825251788:i=667:av=off:fsr=off_2969 on theBenchmark for (2969ds/667Mi)
% 31.36/6.42  % (2283155)Instruction limit reached! 
% 31.36/6.42  % (2283155)------------------------------
% 31.36/6.42  % (2283155)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 31.36/6.42  % (2283155)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 31.36/6.42  % (2283155)CaDiCaL version: 2.1.3
% 31.36/6.42  % (2283155)Termination reason: Instruction limit
% 31.36/6.42  % (2283155)Termination phase: Preprocessing 1
% 31.36/6.42  % (2283155)Time elapsed: 0.067 s
% 31.36/6.42  % (2283155)Peak memory usage: 97 MB
% 31.36/6.42  % (2283155)Instructions burned: 185 (million)
% 31.36/6.42  % Exception at run slice level
% 31.36/6.42  User error: GNN currently only supports monomorphic FOL.
% 31.36/6.42  % (2283156)dis+1010_14_anc=all:to=lpo:sil=8000:sp=arity:slsq=on:random_seed=4256187582:i=193:ins=10:fsr=off:ss=axioms:fsd=on_2969 on theBenchmark for (2969ds/193Mi)
% 31.36/6.42  % (2283159)dis+1011_7_sil=8000:sp=occurrence:sos=all:fd=off:random_seed=271946902:st=5.3:i=4850:sd=4:av=off:sup=off:ss=included:sgt=16_2967 on theBenchmark for (2967ds/4850Mi)
% 31.36/6.42  % (2283156)Instruction limit reached! 
% 31.36/6.42  % (2283156)------------------------------
% 31.36/6.42  % (2283156)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 31.36/6.42  % (2283156)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 31.36/6.42  % (2283156)CaDiCaL version: 2.1.3
% 31.36/6.42  % (2283156)Termination reason: Instruction limit
% 31.36/6.42  % (2283156)Termination phase: Initialization
% 31.36/6.42  % (2283156)Time elapsed: 0.093 s
% 31.36/6.42  % (2283156)Peak memory usage: 101 MB
% 31.36/6.42  % (2283156)Instructions burned: 193 (million)
% 31.36/6.42  % (2283161)lrs+1011_1_ncem=casc2026/models/loop8.pt:sil=32000:tgt=ground:npcc=on:sp=const_frequency:acc=on:urr=on:random_seed=2079483452:i=12111:sd=1:ss=included_2967 on theBenchmark for (2967ds/12111Mi)
% 31.36/6.42  % Exception at run slice level
% 31.36/6.42  User error: GNN currently only supports monomorphic FOL.
% 31.36/6.42  % (2283163)lrs-11_32_anc=all:sil=8000:spb=goal_then_units:sac=on:random_seed=1792944:i=319:kws=precedence:fsr=off_2966 on theBenchmark for (2966ds/319Mi)
% 31.36/6.42  % (2283165)dis+2_1024_sil=8000:sp=reverse_arity:sos=on:lcm=reverse:sac=on:random_seed=2833710205:i=2064:ep=RST_2965 on theBenchmark for (2965ds/2064Mi)
% 31.36/6.42  % (2283154)Instruction limit reached! 
% 31.36/6.42  % (2283154)------------------------------
% 31.36/6.42  % (2283154)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 31.36/6.42  % (2283154)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 31.36/6.42  % (2283154)CaDiCaL version: 2.1.3
% 31.36/6.42  % (2283154)Termination reason: Instruction limit
% 31.36/6.42  % (2283154)Termination phase: NewCNF
% 31.36/6.42  % (2283154)Time elapsed: 0.454 s
% 31.36/6.42  % (2283154)Peak memory usage: 119 MB
% 31.36/6.42  % (2283154)Instructions burned: 667 (million)
% 31.36/6.42  % (2283163)Instruction limit reached! 
% 31.36/6.42  % (2283163)------------------------------
% 31.36/6.42  % (2283163)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 31.36/6.42  % (2283163)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 31.36/6.42  % (2283163)CaDiCaL version: 2.1.3
% 31.36/6.42  % (2283163)Termination reason: Instruction limit
% 31.36/6.42  % (2283163)Termination phase: Initialization
% 31.36/6.42  % (2283163)Time elapsed: 0.157 s
% 31.36/6.42  % (2283163)Peak memory usage: 105 MB
% 31.36/6.42  % (2283163)Instructions burned: 319 (million)
% 31.36/6.42  % (2283212)dis-1011_128_sil=32000:random_seed=1103913384:i=3706:ep=RST:av=off_2963 on theBenchmark for (2963ds/3706Mi)
% 31.36/6.42  % (2283215)lrs-1002_1_sil=8000:plsq=on:plsqr=32,1:sp=occurrence:sos=on:fs=off:gs=on:newcnf=on:random_seed=340671025:i=757:sd=2:fsr=off:ss=axioms:sgt=40_2963 on theBenchmark for (2963ds/757Mi)
% 31.36/6.42  % (2283215)Instruction limit reached! 
% 31.36/6.42  % (2283215)------------------------------
% 31.36/6.42  % (2283215)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 31.36/6.42  % (2283215)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 31.36/6.42  % (2283215)CaDiCaL version: 2.1.3
% 31.36/6.42  % (2283215)Termination reason: Instruction limit
% 31.36/6.42  % (2283215)Termination phase: Property scanning
% 31.36/6.42  % (2283215)Time elapsed: 0.343 s
% 31.36/6.42  % (2283215)Peak memory usage: 105 MB
% 31.36/6.42  % (2283215)Instructions burned: 758 (million)
% 31.36/6.42  % (2283285)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=64000:npcc=on:sp=occurrence:random_seed=3179228569:i=13913:ss=axioms:sgt=8_2959 on theBenchmark for (2959ds/13913Mi)
% 31.36/6.42  % Exception at run slice level
% 31.36/6.42  User error: GNN currently only supports monomorphic FOL.
% 31.36/6.42  % (2283165)Instruction limit reached! 
% 31.36/6.42  % (2283165)------------------------------
% 31.36/6.42  % (2283165)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 31.36/6.42  % (2283165)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 31.36/6.42  % (2283165)CaDiCaL version: 2.1.3
% 31.36/6.42  % (2283165)Termination reason: Instruction limit
% 31.36/6.42  % (2283165)Termination phase: Property scanning
% 31.36/6.42  % (2283165)Time elapsed: 0.967 s
% 31.36/6.42  % (2283165)Peak memory usage: 124 MB
% 31.36/6.42  % (2283165)Instructions burned: 2064 (million)
% 31.36/6.42  % Exception at run slice level
% 31.36/6.42  User error: GNN currently only supports monomorphic FOL.
% 31.36/6.42  % (2283288)dis-1010_50_to=lpo:sil=32000:sp=arity:sos=on:spb=goal_then_units:urr=ec_only:slsq=on:random_seed=2221409495:i=2479:sd=2:nm=16:fsr=off:ss=axioms_2954 on theBenchmark for (2954ds/2479Mi)
% 31.36/6.42  % (2283287)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:sp=const_frequency:sos=all:lma=off:random_seed=3827275647:i=9925:aac=none_2954 on theBenchmark for (2954ds/9925Mi)
% 31.36/6.42  % (2283289)ott+1002_64_sil=16000:sp=const_min:nwc=0.5:random_seed=940882245:i=440:nm=2:av=off:gtg=exists_all:fdi=8:gsp=on_2954 on theBenchmark for (2954ds/440Mi)
% 31.36/6.42  % (2283159)Instruction limit reached! 
% 31.36/6.42  % (2283159)------------------------------
% 31.36/6.42  % (2283159)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 31.36/6.42  % (2283159)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 31.36/6.42  % (2283159)CaDiCaL version: 2.1.3
% 31.36/6.42  % (2283159)Termination reason: Instruction limit
% 31.36/6.42  % (2283159)Termination phase: Saturation
% 31.36/6.42  % (2283159)Time elapsed: 1.472 s
% 31.36/6.42  % (2283159)Peak memory usage: 149 MB
% 31.36/6.42  % (2283159)Instructions burned: 4852 (million)
% 31.36/6.42  % (2283293)dis-1011_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:erd=off:lsd=100:bsr=unit_only:random_seed=2464612585:st=1.5:i=11145:s2at=3:sd=3:fsr=off:ss=axioms_2952 on theBenchmark for (2952ds/11145Mi)
% 31.36/6.42  % (2283289)Instruction limit reached! 
% 31.36/6.42  % (2283289)------------------------------
% 31.36/6.42  % (2283289)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 31.36/6.42  % (2283289)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 31.36/6.42  % (2283289)CaDiCaL version: 2.1.3
% 31.36/6.42  % (2283289)Termination reason: Instruction limit
% 31.36/6.42  % (2283289)Termination phase: Property scanning
% 31.36/6.42  % (2283289)Time elapsed: 0.181 s
% 31.36/6.42  % (2283289)Peak memory usage: 96 MB
% 31.36/6.42  % (2283289)Instructions burned: 441 (million)
% 31.36/6.42  % Exception at run slice level
% 31.36/6.42  User error: GNN currently only supports monomorphic FOL.
% 31.36/6.42  % (2283295)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=3062418776:cts=off:i=3034:av=off:er=known:fsd=on_2951 on theBenchmark for (2951ds/3034Mi)
% 31.36/6.42  % (2283296)lrs-1011_64:1_sil=8000:erd=off:urr=on:nwc=0.7:br=off:random_seed=1758651645:st=2:s2a=on:i=524:s2at=2:ss=axioms_2950 on theBenchmark for (2950ds/524Mi)
% 31.36/6.42  % (2283288)First to succeed.
% 31.36/6.42  % (2283288)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2283021"
% 31.36/6.42  % Exception at run slice level
% 31.36/6.42  User error: GNN currently only supports monomorphic FOL.
% 31.36/6.42  % (2283296)Instruction limit reached! 
% 31.36/6.42  % (2283296)------------------------------
% 31.36/6.42  % (2283296)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 31.36/6.42  % (2283296)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 31.36/6.42  % (2283296)CaDiCaL version: 2.1.3
% 31.36/6.42  % (2283296)Termination reason: Instruction limit
% 31.36/6.42  % (2283296)Termination phase: Property scanning
% 31.36/6.42  % (2283296)Time elapsed: 0.248 s
% 31.36/6.42  % (2283296)Peak memory usage: 106 MB
% 31.36/6.42  % (2283296)Instructions burned: 525 (million)
% 31.36/6.42  % Exception at run slice level
% 31.36/6.42  User error: GNN currently only supports monomorphic FOL.
% 31.36/6.42  % (2283299)lrs+1011_16:1_sil=8000:acc=on:urr=on:fd=preordered:flr=on:random_seed=2660918165:avsq=on:i=1016:avsqr=676809,524288:sd=1:ss=axioms_2946 on theBenchmark for (2946ds/1016Mi)
% 31.36/6.42  % (2283212)Instruction limit reached! 
% 31.36/6.42  % (2283212)------------------------------
% 31.36/6.42  % (2283212)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 31.36/6.42  % (2283212)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 31.36/6.42  % (2283212)CaDiCaL version: 2.1.3
% 31.36/6.42  % (2283212)Termination reason: Instruction limit
% 31.36/6.42  % (2283212)Termination phase: Saturation
% 31.36/6.42  % (2283212)Time elapsed: 1.743 s
% 31.36/6.42  % (2283212)Peak memory usage: 138 MB
% 31.36/6.42  % (2283212)Instructions burned: 3707 (million)
% 31.36/6.42  % (2283300)lrs+1010_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:drc=off:fde=none:s2agt=16:random_seed=3370761297:i=14123:bd=preordered:ins=4_2946 on theBenchmark for (2946ds/14123Mi)
% 31.36/6.42  % (2283301)dis+10_4096_slsqr=16,1:sil=32000:tgt=full:plsq=on:bsr=unit_only:slsqc=1:slsq=on:random_seed=3563554590:i=5781:kws=precedence:bd=all:rawr=on_2945 on theBenchmark for (2945ds/5781Mi)
% 31.36/6.42  % (2283288)Refutation found. Thanks to Tanya!
% 31.36/6.42  % SZS status Theorem for theBenchmark
% 31.36/6.42  % SZS output start Proof for theBenchmark
% See solution above
% 33.17/6.61  % (2283288)------------------------------
% 33.17/6.61  % (2283288)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 33.17/6.61  % (2283288)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 33.17/6.61  % (2283288)CaDiCaL version: 2.1.3
% 33.17/6.61  % (2283288)Termination reason: Refutation
% 33.17/6.61  % (2283288)Time elapsed: 0.642 s
% 33.17/6.61  % (2283288)Peak memory usage: 115 MB
% 33.17/6.61  % (2283288)Instructions burned: 1271 (million)
% 33.17/6.61  % (2283288)------------------------------
% 33.17/6.61  % (2283288)------------------------------
% 33.17/6.61  % (2283021)Success in time 5.552 s
% 33.17/6.61  % Vampire exiting
%------------------------------------------------------------------------------